diff --git a/.gitmodules b/.gitmodules index c8efd6649956d08e237d38e5686a74a58d1d234d..2c1ec6e262d742a14e1bbe8f2077533dff7babc1 100644 --- a/.gitmodules +++ b/.gitmodules @@ -22,3 +22,6 @@ [submodule ".libs/or-tools/dependencies/Osi/source"] path = .libs/or-tools/dependencies/Osi/source url = https://github.com/Mizux/Osi.git +[submodule "libs/or-tools"] + path = libs/or-tools + url = https://github.com/google/or-tools.git diff --git a/CMakeCache.txt b/CMakeCache.txt index b317e3a0984243d77f7bacf022b7dac77f8cab85..f95958d3e0d22fe068e87e143a92512d71d1df3e 100644 --- a/CMakeCache.txt +++ b/CMakeCache.txt @@ -14,6 +14,18 @@ # EXTERNAL cache entries ######################## +//Dependencies for the target +Airmap_LIB_DEPENDS:STATIC=general;Qt5::Core;general;Qt5::Location;general;Qt5::Widgets;general;qgc; + +//Dependencies for the target +AnalyzeView_LIB_DEPENDS:STATIC=general;qgc;general;Qt5::Location;general;Qt5::SerialPort;general;Qt5::TextToSpeech;general;Qt5::Widgets; + +//Dependencies for the target +Audio_LIB_DEPENDS:STATIC=general;qgc;general;Qt5::Core;general;Qt5::Qml;general;Qt5::TextToSpeech;general;Qt5::Widgets; + +//Dependencies for the target +AutoPilotPlugins_LIB_DEPENDS:STATIC=general;qgc; + //Path to a program. BASH_EXECUTABLE:FILEPATH=/bin/bash @@ -35,7 +47,7 @@ BUILD_JAVA:BOOL=OFF //Build Python Library BUILD_PYTHON:BOOL=OFF -//Build shared libraries(.so or .dyld). +//Build shared libraries BUILD_SHARED_LIBS:BOOL=OFF //Build the testing tree. @@ -316,21 +328,39 @@ CVSCOMMAND:FILEPATH=CVSCOMMAND-NOTFOUND //Options passed to the cvs update command. CVS_UPDATE_OPTIONS:STRING=-d -A -P +//Dependencies for the target +Camera_LIB_DEPENDS:STATIC=general;qgc; + //The directory containing a CMake configuration file for Cbc. -Cbc_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/Cbc +Cbc_DIR:PATH=/usr/local/lib/cmake/Cbc //The directory containing a CMake configuration file for Cgl. -Cgl_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/Cgl +Cgl_DIR:PATH=/usr/local/lib/cmake/Cgl //The directory containing a CMake configuration file for Clp. -Clp_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/Clp +Clp_DIR:PATH=/usr/local/lib/cmake/Clp //The directory containing a CMake configuration file for CoinUtils. -CoinUtils_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/CoinUtils +CoinUtils_DIR:PATH=/usr/local/lib/cmake/CoinUtils //Maximum time allowed before CTest will kill the test. DART_TESTING_TIMEOUT:STRING=1500 +//Dependencies for the target +FactSystem_LIB_DEPENDS:STATIC=general;qgc; + +//Dependencies for the target +FirmwarePlugin_LIB_DEPENDS:STATIC=general;qgc; + +//Dependencies for the target +FlightDisplay_LIB_DEPENDS:STATIC=general;qgc; + +//Dependencies for the target +FlightMap_LIB_DEPENDS:STATIC=general;qgc; + +//Dependencies for the target +FollowMe_LIB_DEPENDS:STATIC=general;qgc; + //Path to a program. GITCOMMAND:FILEPATH=/usr/bin/git @@ -338,7 +368,7 @@ GITCOMMAND:FILEPATH=/usr/bin/git GIT_EXECUTABLE:FILEPATH=/usr/bin/git //The directory containing a CMake configuration file for GeographicLib. -GeographicLib_DIR:PATH=GeographicLib_DIR-NOTFOUND +GeographicLib_DIR:PATH=/usr/local/lib/cmake/GeographicLib //Path to a library. GeographicLib_LIBRARIES:FILEPATH=/usr/lib/x86_64-linux-gnu/libGeographic.so @@ -349,6 +379,9 @@ HGCOMMAND:FILEPATH=HGCOMMAND-NOTFOUND //Install build all dependencies INSTALL_BUILD_DEPS:BOOL=ON +//Dependencies for the target +Joystick_LIB_DEPENDS:STATIC=general;ui;general;qgc;general;ui;general;-lSDL2; + //Command to build the project MAKECOMMAND:STRING=/usr/local/bin/cmake --build . --config "${CTEST_CONFIGURATION_TYPE}" @@ -361,14 +394,20 @@ MEMORYCHECK_SUPPRESSIONS_FILE:FILEPATH= //Path to a library. M_LIB:FILEPATH=/usr/lib/x86_64-linux-gnu/libm.so +//Dependencies for the target +MissionManager_LIB_DEPENDS:STATIC=general;Qt5::Xml;general;qgc;general;qgc; + //The directory containing a CMake configuration file for Osi. -Osi_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/Osi +Osi_DIR:PATH=/usr/local/lib/cmake/Osi //Path to a program. P4COMMAND:FILEPATH=P4COMMAND-NOTFOUND +//Dependencies for the target +PositionManager_LIB_DEPENDS:STATIC=general;qgc; + //The directory containing a CMake configuration file for Protobuf. -Protobuf_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/protobuf +Protobuf_DIR:PATH=/usr/local/lib/cmake/protobuf //Value Computed by CMake QGroundControl_BINARY_DIR:STATIC=/home/valentin/Desktop/drones/qgroundcontrol @@ -379,6 +418,9 @@ QGroundControl_SOURCE_DIR:STATIC=/home/valentin/Desktop/drones/qgroundcontrol //No help, variable specified on the command line. QT_VERSION:UNINITIALIZED=5.9.5 +//Dependencies for the target +QmlControls_LIB_DEPENDS:STATIC=general;qgc;general;FactSystem;general;Qt5::Concurrent;general;Qt5::Location;general;Qt5::SerialPort;general;Qt5::TextToSpeech;general;Qt5::Widgets; + //The directory containing a CMake configuration file for Qt5Bluetooth. Qt5Bluetooth_DIR:PATH=/usr/lib/x86_64-linux-gnu/cmake/Qt5Bluetooth @@ -439,6 +481,12 @@ Qt5Xml_DIR:PATH=/usr/lib/x86_64-linux-gnu/cmake/Qt5Xml //The directory containing a CMake configuration file for Qt5. Qt5_DIR:PATH=/usr/lib/x86_64-linux-gnu/cmake/Qt5 +//Dependencies for the target +QtLocationPlugin_LIB_DEPENDS:STATIC=general;Qt5::Location;general;Qt5::Sql;general;qgc; + +//The directory containing a CMake configuration file for SDL2. +SDL2_DIR:PATH=/usr/lib/x86_64-linux-gnu/cmake/SDL2 + //Path to a program. SED_EXECUTABLE:FILEPATH=/bin/sed @@ -463,6 +511,12 @@ SNAKE_SOURCE_DIR:STATIC=/home/valentin/Desktop/drones/qgroundcontrol/libs/snake/ //Path to a program. SVNCOMMAND:FILEPATH=SVNCOMMAND-NOTFOUND +//Dependencies for the target +Settings_LIB_DEPENDS:STATIC=general;qgc; + +//Dependencies for the target +Terrain_LIB_DEPENDS:STATIC=general;qgc; + //The directory containing a CMake configuration file for Threads. Threads_DIR:PATH=Threads_DIR-NOTFOUND @@ -481,6 +535,18 @@ USE_SCIP:BOOL=OFF //Use the XPRESS solver USE_XPRESS:BOOL=OFF +//Dependencies for the target +VehicleSetup_LIB_DEPENDS:STATIC=general;qgc; + +//Dependencies for the target +Vehicle_LIB_DEPENDS:STATIC=general;ui;general;qgc; + +//Dependencies for the target +VideoStreaming_LIB_DEPENDS:STATIC=general;qgc;general;Qt5::Multimedia; + +//Dependencies for the target +ViewWidgets_LIB_DEPENDS:STATIC=general;qgc; + //The directory containing a CMake configuration file for ZLIB. ZLIB_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/ZLIB @@ -494,19 +560,28 @@ ZLIB_LIBRARY_DEBUG:FILEPATH=ZLIB_LIBRARY_DEBUG-NOTFOUND ZLIB_LIBRARY_RELEASE:FILEPATH=/usr/lib/x86_64-linux-gnu/libz.so //The directory containing a CMake configuration file for absl. -absl_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/absl +absl_DIR:PATH=/usr/local/lib/cmake/absl + +//Dependencies for the target +api_LIB_DEPENDS:STATIC=general;qgc; + +//Dependencies for the target +comm_LIB_DEPENDS:STATIC=general;qgc;general;Qt5::Location;general;Qt5::SerialPort;general;Qt5::Test;general;Qt5::TextToSpeech;general;Qt5::Widgets; //The directory containing a CMake configuration file for gflags. -gflags_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/gflags +gflags_DIR:PATH=/usr/local/lib/cmake/gflags //The directory containing a CMake configuration file for glog. -glog_DIR:PATH=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools/dependencies/install/lib/cmake/glog +glog_DIR:PATH=/usr/local/lib/cmake/glog + +//Dependencies for the target +gps_LIB_DEPENDS:STATIC=general;Qt5::Core;general;Qt5::Location;general;Qt5::SerialPort;general;Qt5::Svg;general;Qt5::TextToSpeech;general;qgc; //Value Computed by CMake ortools_BINARY_DIR:STATIC=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools //The directory containing a CMake configuration file for ortools. -ortools_DIR:PATH=ortools_DIR-NOTFOUND +ortools_DIR:PATH=/usr/local/lib/cmake/ortools //Value Computed by CMake ortools_SOURCE_DIR:STATIC=/home/valentin/Desktop/drones/qgroundcontrol/libs/or-tools @@ -535,6 +610,12 @@ protobuf_MODULE_COMPATIBLE:BOOL=OFF //Enable for verbose output protobuf_VERBOSE:BOOL=OFF +//Dependencies for the target +qgc_LIB_DEPENDS:STATIC=general;shp;general;Qt5::QuickWidgets;general;Qt5::Widgets;general;Airmap;general;AnalyzeView;general;api;general;Audio;general;AutoPilotPlugins;general;Camera;general;comm;general;FactSystem;general;FirmwarePlugin;general;FlightDisplay;general;FlightMap;general;FollowMe;general;gps;general;Joystick;general;MissionManager;general;PositionManager;general;QmlControls;general;QtLocationPlugin;general;Settings;general;Terrain;general;uas;general;ui;general;Vehicle;general;VehicleSetup;general;VideoStreaming;general;ViewWidgets;general;qgcunittest; + +//Dependencies for the target +qgcunittest_LIB_DEPENDS:STATIC=general;qgc; + //Dependencies for the target qwt_LIB_DEPENDS:STATIC=general;Qt5::Concurrent;general;Qt5::Core;general;Qt5::Svg;general;Qt5::Widgets; @@ -547,6 +628,15 @@ shapelib_SOURCE_DIR:STATIC=/home/valentin/Desktop/drones/qgroundcontrol/libs/sha //Dependencies for the target shp_LIB_DEPENDS:STATIC=general;-lm; +//Dependencies for the target +snake_LIB_DEPENDS:STATIC=general;GeographicLib_SHARED;general;polyclipping; + +//Dependencies for the target +uas_LIB_DEPENDS:STATIC=general;qgc; + +//Dependencies for the target +ui_LIB_DEPENDS:STATIC=general;qgc;general;qwt; + ######################## # INTERNAL cache entries @@ -716,7 +806,7 @@ CMAKE_MODULE_LINKER_FLAGS_RELWITHDEBINFO-ADVANCED:INTERNAL=1 //ADVANCED property for variable: CMAKE_NM CMAKE_NM-ADVANCED:INTERNAL=1 //number of local generators -CMAKE_NUMBER_OF_MAKEFILES:INTERNAL=8 +CMAKE_NUMBER_OF_MAKEFILES:INTERNAL=36 //ADVANCED property for variable: CMAKE_OBJCOPY CMAKE_OBJCOPY-ADVANCED:INTERNAL=1 //ADVANCED property for variable: CMAKE_OBJDUMP diff --git a/Makefile b/Makefile index 072569fcab41676805e1307035a9d8665f49d3d5..6ccf6944b1f4d3565032da851a835b246a50a728 100644 --- a/Makefile +++ b/Makefile @@ -1,135 +1,1664 @@ +# CMAKE generated file: DO NOT EDIT! +# Generated by "Unix Makefiles" Generator, CMake Version 3.18 -# Enforce the presence of the GIT repository -# -# We depend on our submodules, so we have to prevent attempts to -# compile without it being present. -ifeq ($(wildcard .git),) - $(error YOU HAVE TO USE GIT TO DOWNLOAD THIS REPOSITORY. ABORTING.) -endif +# Default target executed when no arguments are given to make. +default_target: all +.PHONY : default_target -# explicity set default build target -all: linux +# Allow only one "make -f Makefile2" at a time, but pass parallelism. +.NOTPARALLEL: -# Parsing -# -------------------------------------------------------------------- -# assume 1st argument passed is the main target, the -# rest are arguments to pass to the makefile generated -# by cmake in the subdirectory -FIRST_ARG := $(firstword $(MAKECMDGOALS)) -ARGS := $(wordlist 2,$(words $(MAKECMDGOALS)),$(MAKECMDGOALS)) -j ?= 4 -NINJA_BIN := ninja -ifndef NO_NINJA_BUILD - NINJA_BUILD := $(shell $(NINJA_BIN) --version 2>/dev/null) +#============================================================================= +# Special targets provided by cmake. - ifndef NINJA_BUILD - NINJA_BIN := ninja-build - NINJA_BUILD := $(shell $(NINJA_BIN) --version 2>/dev/null) - endif -endif +# Disable implicit rules so canonical targets 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For more information, see - - https://geographiclib.sourceforge.io/ - -Files - - 00README.txt -- this file - AUTHORS -- the authors of the library - LICENSE.txt -- the MIT/X11 License - INSTALL -- brief installation instructions - NEWS -- a history of changes - - include/GeographicLib/*.hpp - headers for the library - src/*.cpp - implementation for the library - - examples/ - examples for each class - - tools/ - command-line utilities - - Makefile.mk -- Unix/Linux makefiles - configure -- autoconf configuration script - CMakeLists.txt -- cmake configuration files - cmake/ - support files for building with CMake - - windows/ - project files for building under Windows (but CMake is preferred) - - maxima/ - Maxima code for generating series expansions, etc. - - matlab/ - geographiclib/ - *.m, private/*.m -- Matlab implementation of some classes - geographiclib-legacy/ - *.{m,cpp} -- legacy Matlab routines - - doc/ - files for generating documentation with Doxygen - - man/ - man pages for the utilities - - python/GeographicLib/*.py -- Python implementation of geodesic routines - - java/.../*.java -- Java implementation of geodesic routines - - js/ - src/*.js -- JavaScript implementation of geodesic routines - samples/*.html -- demonstrations of the JavaScript interface - - legacy/ - C/ -- C implementation of geodesic routines - Fortran/ -- Fortran implementation of geodesic routines - - dotnet/ - NETGeographicLib/*.{cpp,h} -- .NET wrapper for GeographicLib - examples/ - CS/*.cs -- simple C# examples for each class - ManagedCPP/*.cpp -- Managed C++ examples for each class - VB/*.vb -- simple Visual Basic examples for each class - Projection/ -- a more complex C# application diff --git a/libs/GeographicLib-1.50.1/AUTHORS b/libs/GeographicLib-1.50.1/AUTHORS deleted file mode 100644 index beee52728e4f77aa4aa32dabd475e1e42a799c68..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/AUTHORS +++ /dev/null @@ -1,11 +0,0 @@ -Charles Karney -Francesco Paolo Lovergine (autoconfiscation) -Mathieu Peyréga (help with gravity models) -Andrew MacIntyre (python/setup.py) -Skip Breidbach (maven support for Java) -Scott Heiman (.NET wrappers + C# examples) -Chris Bennight (deploying Java library) -Sebastian Mattheis (gnomonic projection in Java) -Yurij Mikhalevich <0@39.yt> (node.js port) -Phil Miller (putting tests into python/setup.py) -Jonathan Takahashi (boost-python sample) diff --git a/libs/GeographicLib-1.50.1/BUILD/CMakeCache.txt b/libs/GeographicLib-1.50.1/BUILD/CMakeCache.txt deleted file mode 100644 index 2c05777af6d50312b17f2684d5c06a5543bc1a4e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/CMakeCache.txt +++ /dev/null @@ -1,447 +0,0 @@ -# This is the CMakeCache file. -# For build in directory: /home/valentin/src/GeographicLib-1.50.1/BUILD -# It was generated by CMake: /usr/bin/cmake -# You can edit this file to change values found and used by cmake. -# If you do not want to change any of the values, simply exit the editor. -# If you do want to change a value, simply edit, save, and exit the editor. -# The syntax for the file is as follows: -# KEY:TYPE=VALUE -# KEY is the name of a variable in the cache. -# TYPE is a hint to GUIs for the type of VALUE, DO NOT EDIT TYPE!. -# VALUE is the current value for the KEY. - 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-SET(CPACK_RESOURCE_FILE_WELCOME "/usr/share/cmake-3.10/Templates/CPack.GenericWelcome.txt") -SET(CPACK_RPM_PACKAGE_SOURCES "ON") -SET(CPACK_SET_DESTDIR "OFF") -SET(CPACK_SOURCE_7Z "") -SET(CPACK_SOURCE_CYGWIN "") -SET(CPACK_SOURCE_GENERATOR "TGZ") -SET(CPACK_SOURCE_IGNORE_FILES "#;~$;/\\.git;/home/valentin/src/GeographicLib-1.50.1/BUILD;/home/valentin/src/GeographicLib-1.50.1/(tests|testdata|cgi-bin|.*\\.cache)/;/home/valentin/src/GeographicLib-1.50.1/(distrib|.*-distrib|.*-installer|geodesic-papers)/;/home/valentin/src/GeographicLib-1.50.1/[^/]*\\.(xml|html|css|kmz|pdf)$;/home/valentin/src/GeographicLib-1.50.1/(autogen|biblio)\\.sh$;/home/valentin/src/GeographicLib-1.50.1/(robots.txt|geodesic-biblio.txt|makefile-admin|[^/]*\\.png)$;/home/valentin/src/GeographicLib-1.50.1/matlab/.*blurb.txt$") -SET(CPACK_SOURCE_INSTALLED_DIRECTORIES "/home/valentin/src/GeographicLib-1.50.1;/") -SET(CPACK_SOURCE_OUTPUT_CONFIG_FILE "/home/valentin/src/GeographicLib-1.50.1/BUILD/CPackSourceConfig.cmake") 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/home/valentin/src/GeographicLib-1.50.1 -# Build directory: /home/valentin/src/GeographicLib-1.50.1/BUILD -# -# This file includes the relevant testing commands required for -# testing this directory and lists subdirectories to be tested as well. -add_test(GeoConvert0 "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeoConvert" "-p" "-3" "-m" "--input-string" "33.3 44.4") -set_tests_properties(GeoConvert0 PROPERTIES PASS_REGULAR_EXPRESSION "38SMB4484") -add_test(GeoConvert1 "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeoConvert" "-d" "--input-string" "38smb") -set_tests_properties(GeoConvert1 PROPERTIES PASS_REGULAR_EXPRESSION "32d59'14\\.1\"N 044d27'53\\.4\"E") -add_test(GeoConvert2 "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeoConvert" "-p" "-2" "--input-string" "30d30'30\" 30.50833") -set_tests_properties(GeoConvert2 PROPERTIES PASS_REGULAR_EXPRESSION "30\\.508 30\\.508") -add_test(GeoConvert3 "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeoConvert" 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"false") settings are represented by - # the same string. - set (CMAKE_CROSSCOMPILING_STR "ON") -else () - set (CMAKE_CROSSCOMPILING_STR "OFF") -endif () - -if (NOT PACKAGE_FIND_NAME STREQUAL "GeographicLib") - # Check package name (in particular, because of the way cmake finds - # package config files, the capitalization could easily be "wrong"). - # This is necessary to ensure that the automatically generated - # variables, e.g., _FOUND, are consistently spelled. - set (REASON "package = GeographicLib, NOT ${PACKAGE_FIND_NAME}") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (NOT (APPLE OR (NOT DEFINED CMAKE_SIZEOF_VOID_P) OR - CMAKE_SIZEOF_VOID_P EQUAL 8)) - # Reject if there's a 32-bit/64-bit mismatch (not necessary with Apple - # since a multi-architecture library is built for that platform). - set (REASON "sizeof(*void) = 8") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (MSVC AND NOT ( - # toolset version must be at least as great as GeographicLib's - MSVC_TOOLSET_VERSION GREATER_EQUAL 0 - # and major versions must match - AND MSVC_TOOLSET_MAJOR EQUAL 0 )) - # Reject if there's a mismatch in MSVC compiler versions - set (REASON "MSVC_TOOLSET_VERSION = 0") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (NOT CMAKE_CROSSCOMPILING_STR STREQUAL "OFF") - # Reject if there's a mismatch in ${CMAKE_CROSSCOMPILING} - set (REASON "cross-compiling = FALSE") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (CMAKE_CROSSCOMPILING AND - NOT (CMAKE_SYSTEM_NAME STREQUAL "Linux" AND - CMAKE_SYSTEM_PROCESSOR STREQUAL "x86_64")) - # Reject if cross-compiling and there's a mismatch in the target system - set (REASON "target = Linux-x86_64") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (PACKAGE_FIND_VERSION) - if (PACKAGE_FIND_VERSION VERSION_EQUAL PACKAGE_VERSION) - set (PACKAGE_VERSION_EXACT TRUE) - elseif (PACKAGE_FIND_VERSION VERSION_LESS PACKAGE_VERSION - AND PACKAGE_FIND_VERSION_MAJOR EQUAL PACKAGE_VERSION_MAJOR) - set (PACKAGE_VERSION_COMPATIBLE TRUE) - endif () -endif () - -set (GeographicLib_SHARED_FOUND ON) -set (GeographicLib_STATIC_FOUND OFF) -set (GeographicLib_NETGeographicLib_FOUND OFF) - -# Check for the components requested. 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ABSOLUTE) - set (GeographicLib_INCLUDE_DIRS "${_ROOT}/include") - set (GeographicLib_LIBRARY_DIRS "${_ROOT}/lib") - set (GeographicLib_BINARY_DIRS "${_ROOT}/bin") -endif () -set (GEOGRAPHICLIB_DATA "/usr/local/share/GeographicLib") -set (GEOGRAPHICLIB_PRECISION 2) -set (GeographicLib_HIGHPREC_LIBRARIES "") - -set (GeographicLib_SHARED_LIBRARIES GeographicLib_SHARED) -set (GeographicLib_STATIC_LIBRARIES ) -# Read in the exported definition of the library -include ("${_DIR}/geographiclib-targets.cmake") -include ("${_DIR}/geographiclib-namespace-targets.cmake") - -# For interoperability with older installations of GeographicLib and -# with packages which depend on GeographicLib, GeographicLib_LIBRARIES -# etc. still point to the non-namespace variables. 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NAME

- -

CartConvert -- convert geodetic coordinates to geocentric or local cartesian

- -

SYNOPSIS

- -

CartConvert [ -r ] [ -l lat0 lon0 h0 ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Convert geodetic coordinates to either geocentric or local cartesian coordinates. Geocentric coordinates have the origin at the center of the earth, with the z axis going thru the north pole, and the x axis thru latitude = 0, longitude = 0. By default, the conversion is to geocentric coordinates. Specifying -l lat0 lon0 h0 causes a local coordinate system to be used with the origin at latitude = lat0, longitude = lon0, height = h0, z normal to the ellipsoid and y due north.

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude, longitude (decimal degrees or degrees, minutes and seconds), and height above the ellipsoid (meters); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding cartesian coordinates x, y, z (meters) are printed on standard output.

- -

OPTIONS

- -
- -
-r
-
- -

perform the reverse projection. x, y, z are given on standard input and each line of standard output gives latitude, longitude, height. In general there are multiple solutions and the result which minimizes the absolute value of height is returned, i.e., (latitude, longitude) corresponds to the closest point on the ellipsoid.

- -
-
-l lat0 lon0 h0
-
- -

specifies conversions to and from a local cartesion coordinate systems with origin lat0 lon0 h0, instead of a geocentric coordinate system. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -l.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for geocentric and local cartesion coordinates and for the height (in meters). For latitudes and longitudes (in degrees), the number of digits after the decimal point is prec + 5.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 33.3 44.4 6000 | CartConvert
-   => 3816209.60 3737108.55 3485109.57
-   echo 33.3 44.4 6000 | CartConvert -l 33 44 20
-   => 37288.97 33374.29 5783.64
-   echo 30000 30000 0 | CartConvert -r
-   => 6.483 45 -6335709.73
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes CartConvert to return an exit code of 1. However, an error does not cause CartConvert to terminate; following lines will be converted.

- -

SEE ALSO

- -

The algorithm for converting geocentric to geodetic coordinates is given in Appendix B of C. F. F. Karney, Geodesics on an ellipsoid of revolution, Feb. 2011; preprint https://arxiv.org/abs/1102.1215.

- -

AUTHOR

- -

CartConvert was written by Charles Karney.

- -

HISTORY

- -

CartConvert was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-02. Prior to 2009-03 it was called ECEFConvert.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/ConicProj.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/ConicProj.1.html deleted file mode 100644 index 47366a1d9e9b8a3bb76a17eb05a366b1c3334fc5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/ConicProj.1.html +++ /dev/null @@ -1,156 +0,0 @@ - - - - -ConicProj(1) - - - - - - - - -

NAME

- -

ConicProj -- perform conic projections

- -

SYNOPSIS

- -

ConicProj ( -c | -a ) lat1 lat2 [ -l lon0 ] [ -k k1 ] [ -r ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Perform one of two conic projections geodesics. Convert geodetic coordinates to either Lambert conformal conic or Albers equal area coordinates. The standard latitudes lat1 and lat2 are specified by that the -c option (for Lambert conformal conic) or the -a option (for Albers equal area). At least one of these options must be given (the last one given is used). Specify lat1 = lat2, to obtain the case with a single standard parallel. The central meridian is given by lon0. The longitude of origin is given by the latitude of minimum (azimuthal) scale for Lambert conformal conic (Albers equal area). The (azimuthal) scale on the standard parallels is k1.

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude and longitude (decimal degrees or degrees, minutes, seconds); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding projected easting, x, and northing, y, (meters) are printed on standard output together with the meridian convergence gamma (degrees) and (azimuthal) scale k. For Albers equal area, the radial scale is 1/k. The meridian convergence is the bearing of the y axis measured clockwise from true north.

- -

Special cases of the Lambert conformal projection are the Mercator projection (the standard latitudes equal and opposite) and the polar stereographic projection (both standard latitudes correspond to the same pole). Special cases of the Albers equal area projection are the cylindrical equal area projection (the standard latitudes equal and opposite), the Lambert azimuthal equal area projection (both standard latitude corresponds to the same pole), and the Lambert equal area conic projection (one standard parallel is at a pole).

- -

OPTIONS

- -
- -
-c lat1 lat2
-
- -

use the Lambert conformal conic projection with standard parallels lat1 and lat2.

- -
-
-a lat1 lat2
-
- -

use the Albers equal area projection with standard parallels lat1 and lat2.

- -
-
-l lon0
-
- -

specify the longitude of origin lon0 (degrees, default 0).

- -
-
-k k1
-
- -

specify the (azimuthal) scale k1 on the standard parallels (default 1).

- -
-
-r
-
- -

perform the reverse projection. x and y are given on standard input and each line of standard output gives latitude, longitude, gamma, and k.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for lengths (in meters). For latitudes and longitudes (in degrees), the number of digits after the decimal point is prec + 5. For the convergence (in degrees) and scale, the number of digits after the decimal point is prec + 6.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 39.95N 75.17W | ConicProj -c 40d58 39d56 -l 77d45W
-   => 220445 -52372 1.67 1.0
-   echo 220445 -52372 | ConicProj -c 40d58 39d56 -l 77d45W -r
-   => 39.95 -75.17 1.67 1.0
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes ConicProj to return an exit code of 1. However, an error does not cause ConicProj to terminate; following lines will be converted.

- -

AUTHOR

- -

ConicProj was written by Charles Karney.

- -

HISTORY

- -

ConicProj was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.9.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeoConvert.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeoConvert.1.html deleted file mode 100644 index c0ac67a39bfad0b87fdd1162c064a9802a00269b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeoConvert.1.html +++ /dev/null @@ -1,379 +0,0 @@ - - - - -GeoConvert(1) - - - - - - - - -

NAME

- -

GeoConvert -- convert geographic coordinates

- -

SYNOPSIS

- -

GeoConvert [ -g | -d | -: | -u | -m | -c ] [ -z zone | -s | -t | -S | -T ] [ -n ] [ -w ] [ -p prec ] [ -l | -a ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

GeoConvert reads from standard input interpreting each line as a geographic coordinate and prints the coordinate in the format specified by the options on standard output. The input is interpreted in one of three different ways depending on how many space or comma delimited tokens there are on the line. The options -g, -d, -u, and -m govern the format of output. In all cases, the WGS84 model of the earth is used (a = 6378137 m, f = 1/298.257223563).

- -
- -
geographic
-
- -

2 tokens (output options -g, -d, or -:) given as latitude longitude using decimal degrees or degrees, minutes, and seconds. Latitude is given first (unless the -w option is given). See "GEOGRAPHIC COORDINATES" for a description of the format. For example, the following are all equivalent

- -
    33.3 44.4
-    E44.4 N33.3
-    33d18'N 44d24'E
-    44d24 33d18N
-    33:18 +44:24
- -
-
UTM/UPS
-
- -

3 tokens (output option -u) given as zone+hemisphere easting northing or easting northing zone+hemisphere, where hemisphere is either n (or north) or s (or south). The zone is absent for a UPS specification. For example,

- -
    38n 444140.54 3684706.36
-    444140.54 3684706.36 38n
-    s 2173854.98 2985980.58
-    2173854.98 2985980.58 s
- -
-
MRGS
-
- -

1 token (output option -m) is used to specify the center of an MGRS grid square. For example,

- -
    38SMB4484
-    38SMB44140847064
- -
-
- -

OPTIONS

- -
- -
-g
-
- -

output latitude and longitude using decimal degrees. Default output mode.

- -
-
-d
-
- -

output latitude and longitude using degrees, minutes, and seconds (DMS).

- -
-
-:
-
- -

like -d, except use : as a separator instead of the d, ', and " delimiters.

- -
-
-u
-
- -

output UTM or UPS.

- -
-
-m
-
- -

output MGRS.

- -
-
-c
-
- -

output meridian convergence and scale for the corresponding UTM or UPS projection. The meridian convergence is the bearing of grid north given as degrees clockwise from true north.

- -
-
-z zone
-
- -

set the zone to zone for output. Use either 0 < zone <= 60 for a UTM zone or zone = 0 for UPS. Alternatively use a zone+hemisphere designation, e.g., 38n. See "ZONE".

- -
-
-s
-
- -

use the standard UPS and UTM zones.

- -
-
-t
-
- -

similar to -s but forces UPS regions to the closest UTM zone.

- -
-
-S or -T
-
- -

behave the same as -s and -t, respectively, until the first legal conversion is performed. For subsequent points, the zone and hemisphere of that conversion are used. This enables a sequence of points to be converted into UTM or UPS using a consistent coordinate system.

- -
-
-n
-
- -

on input, MGRS coordinates refer to the south-west corner of the MGRS square instead of the center; see "MGRS".

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 0); prec is the precision relative to 1 m. See "PRECISION".

- -
-
-l
-
- -

on output, UTM/UPS uses the long forms north and south to designate the hemisphere instead of n or s.

- -
-
-a
-
- -

on output, UTM/UPS uses the abbreviations n and s to designate the hemisphere instead of north or south; this is the default representation.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

PRECISION

- -

prec gives precision of the output with prec = 0 giving 1 m precision, prec = 3 giving 1 mm precision, etc. prec is the number of digits after the decimal point for UTM/UPS. For MGRS, The number of digits per coordinate is 5 + prec; prec = -6 results in just the grid zone. For decimal degrees, the number of digits after the decimal point is 5 + prec. For DMS (degree, minute, seconds) output, the number of digits after the decimal point in the seconds components is 1 + prec; if this is negative then use minutes (prec = -2 or -3) or degrees (prec <= -4) as the least significant component. Print convergence, resp. scale, with 5 + prec, resp. 7 + prec, digits after the decimal point. The minimum value of prec is -5 (-6 for MGRS) and the maximum is 9 for UTM/UPS, 9 for decimal degrees, 10 for DMS, 6 for MGRS, and 8 for convergence and scale.

- -

GEOGRAPHIC COORDINATES

- -

The utility accepts geographic coordinates, latitude and longitude, in a number of common formats. Latitude precedes longitude, unless the -w option is given which switches this convention. On input, either coordinate may be given first by appending or prepending N or S to the latitude and E or W to the longitude. These hemisphere designators carry an implied sign, positive for N and E and negative for S and W. This sign multiplies any +/- sign prefixing the coordinate. The coordinates may be given as decimal degree or as degrees, minutes, and seconds. d, ', and " are used to denote degrees, minutes, and seconds, with the least significant designator optional. (See "QUOTING" for how to quote the characters ' and " when entering coordinates on the command line.) Alternatively, : (colon) may be used to separate the various components. Only the final component of coordinate can include a decimal point, and the minutes and seconds components must be less than 60.

- -

It is also possible to carry out addition or subtraction operations in geographic coordinates. If the coordinate includes interior signs (i.e., not at the beginning or immediately after an initial hemisphere designator), then the coordinate is split before such signs; the pieces are parsed separately and the results summed. For example the point 15" east of 39N 70W is

- -
    39N 70W+0:0:15E
- -

WARNING: "Exponential" notation is not recognized for geographic coordinates. Thus 7.0E1 is illegal, while 7.0E+1 is parsed as (7.0E) + (+1), yielding the same result as 8.0E.

- -

Various unicode characters (encoded with UTF-8) may also be used to denote degrees, minutes, and seconds, e.g., the degree, prime, and double prime symbols; in addition two single quotes can be used to represent ".

- -

The other GeographicLib utilities use the same rules for interpreting geographic coordinates; in addition, azimuths and arc lengths are interpreted the same way.

- -

QUOTING

- -

Unfortunately the characters ' and " have special meanings in many shells and have to be entered with care. However note (1) that the trailing designator is optional and that (2) you can use colons as a separator character. Thus 10d20' can be entered as 10d20 or 10:20 and 10d20'30" can be entered as 10:20:30.

- -
- -
Unix shells (sh, bash, tsch)
-
- -

The characters ' and " can be quoted by preceding them with a \ (backslash); or you can quote a string containing ' with a pair of "s. The two alternatives are illustrated by

- -
   echo 10d20\'30\" "20d30'40" | GeoConvert -d -p -1
-   => 10d20'30"N 020d30'40"E
- -

Quoting of command line arguments is similar

- -
   GeoConvert -d -p -1 --input-string "10d20'30\" 20d30'40"
-   => 10d20'30"N 020d30'40"E
- -
-
Windows command shell (cmd)
-
- -

The ' character needs no quoting; the " character can either be quoted by a ^ or can be represented by typing ' twice. (This quoting is usually unnecessary because the trailing designator can be omitted.) Thus

- -
   echo 10d20'30'' 20d30'40 | GeoConvert -d -p -1
-   => 10d20'30"N 020d30'40"E
- -

Use \ to quote the " character in a command line argument

- -
   GeoConvert -d -p -1 --input-string "10d20'30\" 20d30'40"
-   => 10d20'30"N 020d30'40"E
- -
-
Input from a file
-
- -

No quoting need be done if the input from a file. Thus each line of the file input.txt should just contain the plain coordinates.

- -
  GeoConvert -d -p -1 < input.txt
- -
-
- -

MGRS

- -

MGRS coordinates represent a square patch of the earth, thus 38SMB4488 is in zone 38n with 444km <= easting < 445km and 3688km <= northing < 3689km. Consistent with this representation, coordinates are truncated (instead of rounded) to the requested precision. When an MGRS coordinate is provided as input, GeoConvert treats this as a representative point within the square. By default, this representative point is the center of the square (38n 444500 3688500 in the example above). (This leads to a stable conversion between MGRS and geographic coordinates.) However, if the -n option is given then the south-west corner of the square is returned instead (38n 444000 3688000 in the example above).

- -

ZONE

- -

If the input is geographic, GeoConvert uses the standard rules of selecting UTM vs UPS and for assigning the UTM zone (with the Norway and Svalbard exceptions). If the input is UTM/UPS or MGRS, then the choice between UTM and UPS and the UTM zone mirrors the input. The -z zone, -s, and -t options allow these rules to be overridden with zone = 0 being used to indicate UPS. For example, the point

- -
   79.9S 6.1E
- -

corresponds to possible MGRS coordinates

- -
   32CMS4324728161 (standard UTM zone = 32)
-   31CEM6066227959 (neighboring UTM zone = 31)
-     BBZ1945517770 (neighboring UPS zone)
- -

then

- -
   echo 79.9S 6.1E      | GeoConvert -p -3 -m       => 32CMS4328
-   echo 31CEM6066227959 | GeoConvert -p -3 -m       => 31CEM6027
-   echo 31CEM6066227959 | GeoConvert -p -3 -m -s    => 32CMS4328
-   echo 31CEM6066227959 | GeoConvert -p -3 -m -z 0  =>   BBZ1917
- -

Is zone is specified with a hemisphere, then this is honored when printing UTM coordinates:

- -
   echo -1 3 | GeoConvert -u         => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31   => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31s  => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31n  => 31n 500000 -110530
- -

NOTE: the letter in the zone specification for UTM is a hemisphere designator n or s and not an MGRS latitude band letter. Convert the MGRS latitude band letter to a hemisphere as follows: replace C thru M by s (or south); replace N thru X by n (or north).

- -

EXAMPLES

- -
   echo 38SMB4488 | GeoConvert         => 33.33424 44.40363
-   echo 38SMB4488 | GeoConvert -: -p 1 => 33:20:03.25N 044:2413.06E
-   echo 38SMB4488 | GeoConvert -u      => 38n 444500 3688500
-   echo E44d24 N33d20 | GeoConvert -m -p -3 => 38SMB4488
- -

GeoConvert can be used to do simple arithmetic using degree, minutes, and seconds. For example, sometimes data is tiled in 15 second squares tagged by the DMS representation of the SW corner. The tags of the tile at 38:59:45N 077:02:00W and its 8 neighbors are then given by

- -
    t=0:0:15
-    for y in -$t +0 +$t; do
-        for x in -$t +0 +$t; do
-            echo 38:59:45N$y 077:02:00W$x
-        done
-    done | GeoConvert -: -p -1 | tr -d ': '
-    =>
-    385930N0770215W
-    385930N0770200W
-    385930N0770145W
-    385945N0770215W
-    385945N0770200W
-    385945N0770145W
-    390000N0770215W
-    390000N0770200W
-    390000N0770145W
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeoConvert to return an exit code of 1. However, an error does not cause GeoConvert to terminate; following lines will be converted.

- -

ABBREVIATIONS

- -
- -
UTM
-
- -

Universal Transverse Mercator, https://en.wikipedia.org/wiki/Universal_Transverse_Mercator_coordinate_system.

- -
-
UPS
-
- -

Universal Polar Stereographic, https://en.wikipedia.org/wiki/Universal_Polar_Stereographic.

- -
-
MGRS
-
- -

Military Grid Reference System, https://en.wikipedia.org/wiki/Military_grid_reference_system.

- -
-
WGS84
-
- -

World Geodetic System 1984, https://en.wikipedia.org/wiki/WGS84.

- -
-
- -

SEE ALSO

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeoConvert.

- -

The algorithms for the transverse Mercator projection are described in C. F. F. Karney, Transverse Mercator with an accuracy of a few nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI https://doi.org/10.1007/s00190-011-0445-3; preprint https://arxiv.org/abs/1002.1417.

- -

AUTHOR

- -

GeoConvert was written by Charles Karney.

- -

HISTORY

- -

GeoConvert was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-01.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeodSolve.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeodSolve.1.html deleted file mode 100644 index 31f5d291c3b73e6557307fe4dda7e43d945979bc..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeodSolve.1.html +++ /dev/null @@ -1,333 +0,0 @@ - - - - -GeodSolve(1) - - - - - - - - -

NAME

- -

GeodSolve -- perform geodesic calculations

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SYNOPSIS

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GeodSolve [ -i | -L lat1 lon1 azi1 | -D lat1 lon1 azi1 s13 | -I lat1 lon1 lat3 lon3 ] [ -a ] [ -e a f ] [ -u ] [ -F ] [ -d | -: ] [ -w ] [ -b ] [ -f ] [ -p prec ] [ -E ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

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DESCRIPTION

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The shortest path between two points on the ellipsoid at (lat1, lon1) and (lat2, lon2) is called the geodesic. Its length is s12 and the geodesic from point 1 to point 2 has forward azimuths azi1 and azi2 at the two end points.

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GeodSolve operates in one of three modes:

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    - -

  1. By default, GeodSolve accepts lines on the standard input containing lat1 lon1 azi1 s12 and prints lat2 lon2 azi2 on standard output. This is the direct geodesic calculation.

    - -
    2. -

  2. With the -i command line argument, GeodSolve performs the inverse geodesic calculation. It reads lines containing lat1 lon1 lat2 lon2 and prints the corresponding values of azi1 azi2 s12.

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    3. -

  3. Command line arguments -L lat1 lon1 azi1 specify a geodesic line. GeodSolve then accepts a sequence of s12 values (one per line) on standard input and prints lat2 lon2 azi2 for each. This generates a sequence of points on a single geodesic. Command line arguments -D and -I work similarly with the geodesic line defined in terms of a direct or inverse geodesic calculation, respectively.

    - -
    4. -
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OPTIONS

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- -
-i
-
- -

perform an inverse geodesic calculation (see 2 above).

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-
-L lat1 lon1 azi1
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 azi1. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -L. (-l is an alternative, deprecated, spelling of this flag.)

- -
-
-D lat1 lon1 azi1 s13
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 azi1 s13. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -D. Similarly, the -a flag can be used to change the interpretation of s13 to a13, provided that it appears before -D.

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-
-I lat1 lon1 lat3 lon3
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 lat3 lon3. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -I.

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-
-a
-
- -

toggle the arc mode flag (it starts off); if this flag is on, then on input and output s12 is replaced by a12 the arc length (in degrees) on the auxiliary sphere. See "AUXILIARY SPHERE".

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-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

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-
-u
-
- -

unroll the longitude. Normally, on output longitudes are reduced to lie in [-180deg,180deg). However with this option, the returned longitude lon2 is "unrolled" so that lon2 - lon1 indicates how often and in what sense the geodesic has encircled the earth. Use the -f option, to get both longitudes printed.

- -
-
-F
-
- -

fractional mode. This only has any effect with the -D and -I options (and is otherwise ignored). The values read on standard input are interpreted as fractional distances to point 3, i.e., as s12/s13 instead of s12. If arc mode is in effect, then the values denote fractional arc length, i.e., a12/a13. The fractional distances can be entered as a simple fraction, e.g., 3/4.

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-
-d
-
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output angles as degrees, minutes, seconds instead of decimal degrees.

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-
-:
-
- -

like -d, except use : as a separator instead of the d, ', and " delimiters.

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-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

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-
-b
-
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report the back azimuth at point 2 instead of the forward azimuth.

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-
-f
-
- -

full output; each line of output consists of 12 quantities: lat1 lon1 azi1 lat2 lon2 azi2 s12 a12 m12 M12 M21 S12. a12 is described in "AUXILIARY SPHERE". The four quantities m12, M12, M21, and S12 are described in "ADDITIONAL QUANTITIES".

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-
-p prec
-
- -

set the output precision to prec (default 3); prec is the precision relative to 1 m. See "PRECISION".

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-
-E
-
- -

use "exact" algorithms (based on elliptic integrals) for the geodesic calculations. These are more accurate than the (default) series expansions for |f| > 0.02.

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-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

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-
--version
-
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print version and exit.

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-
-h
-
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print usage and exit.

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-
--help
-
- -

print full documentation and exit.

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-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

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-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

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-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

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-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

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-
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INPUT

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GeodSolve measures all angles in degrees and all lengths (s12) in meters, and all areas (S12) in meters^2. On input angles (latitude, longitude, azimuth, arc length) can be as decimal degrees or degrees, minutes, seconds. For example, 40d30, 40d30', 40:30, 40.5d, and 40.5 are all equivalent. By default, latitude precedes longitude for each point (the -w flag switches this convention); however on input either may be given first by appending (or prepending) N or S to the latitude and E or W to the longitude. Azimuths are measured clockwise from north; however this may be overridden with E or W.

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For details on the allowed formats for angles, see the GEOGRAPHIC COORDINATES section of GeoConvert(1).

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AUXILIARY SPHERE

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Geodesics on the ellipsoid can be transferred to the auxiliary sphere on which the distance is measured in terms of the arc length a12 (measured in degrees) instead of s12. In terms of a12, 180 degrees is the distance from one equator crossing to the next or from the minimum latitude to the maximum latitude. Geodesics with a12 > 180 degrees do not correspond to shortest paths. With the -a flag, s12 (on both input and output) is replaced by a12. The -a flag does not affect the full output given by the -f flag (which always includes both s12 and a12).

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ADDITIONAL QUANTITIES

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The -f flag reports four additional quantities.

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The reduced length of the geodesic, m12, is defined such that if the initial azimuth is perturbed by dazi1 (radians) then the second point is displaced by m12 dazi1 in the direction perpendicular to the geodesic. m12 is given in meters. On a curved surface the reduced length obeys a symmetry relation, m12 + m21 = 0. On a flat surface, we have m12 = s12.

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M12 and M21 are geodesic scales. If two geodesics are parallel at point 1 and separated by a small distance dt, then they are separated by a distance M12 dt at point 2. M21 is defined similarly (with the geodesics being parallel to one another at point 2). M12 and M21 are dimensionless quantities. On a flat surface, we have M12 = M21 = 1.

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If points 1, 2, and 3 lie on a single geodesic, then the following addition rules hold:

- -
   s13 = s12 + s23,
-   a13 = a12 + a23,
-   S13 = S12 + S23,
-   m13 = m12 M23 + m23 M21,
-   M13 = M12 M23 - (1 - M12 M21) m23 / m12,
-   M31 = M32 M21 - (1 - M23 M32) m12 / m23.
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Finally, S12 is the area between the geodesic from point 1 to point 2 and the equator; i.e., it is the area, measured counter-clockwise, of the geodesic quadrilateral with corners (lat1,lon1), (0,lon1), (0,lon2), and (lat2,lon2). It is given in meters^2.

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PRECISION

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prec gives precision of the output with prec = 0 giving 1 m precision, prec = 3 giving 1 mm precision, etc. prec is the number of digits after the decimal point for lengths. For decimal degrees, the number of digits after the decimal point is prec + 5. For DMS (degree, minute, seconds) output, the number of digits after the decimal point in the seconds component is prec + 1. The minimum value of prec is 0 and the maximum is 10.

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ERRORS

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An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeodSolve to return an exit code of 1. However, an error does not cause GeodSolve to terminate; following lines will be converted.

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ACCURACY

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Using the (default) series solution, GeodSolve is accurate to about 15 nm (15 nanometers) for the WGS84 ellipsoid. The approximate maximum error (expressed as a distance) for an ellipsoid with the same equatorial radius as the WGS84 ellipsoid and different values of the flattening is

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   |f|     error
-   0.01    25 nm
-   0.02    30 nm
-   0.05    10 um
-   0.1    1.5 mm
-   0.2    300 mm
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If -E is specified, GeodSolve is accurate to about 40 nm (40 nanometers) for the WGS84 ellipsoid. The approximate maximum error (expressed as a distance) for an ellipsoid with a quarter meridian of 10000 km and different values of the a/b = 1 - f is

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   1-f    error (nm)
-   1/128   387
-   1/64    345
-   1/32    269
-   1/16    210
-   1/8     115
-   1/4      69
-   1/2      36
-     1      15
-     2      25
-     4      96
-     8     318
-    16     985
-    32    2352
-    64    6008
-   128   19024
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MULTIPLE SOLUTIONS

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The shortest distance returned for the inverse problem is (obviously) uniquely defined. However, in a few special cases there are multiple azimuths which yield the same shortest distance. Here is a catalog of those cases:

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- -
lat1 = -lat2 (with neither point at a pole)
-
- -

If azi1 = azi2, the geodesic is unique. Otherwise there are two geodesics and the second one is obtained by setting [azi1,azi2] = [azi2,azi1], [M12,M21] = [M21,M12], S12 = -S12. (This occurs when the longitude difference is near +/-180 for oblate ellipsoids.)

- -
-
lon2 = lon1 +/- 180 (with neither point at a pole)
-
- -

If azi1 = 0 or +/-180, the geodesic is unique. Otherwise there are two geodesics and the second one is obtained by setting [azi1,azi2] = [-azi1,-azi2], S12 = -S12. (This occurs when lat2 is near -lat1 for prolate ellipsoids.)

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-
Points 1 and 2 at opposite poles
-
- -

There are infinitely many geodesics which can be generated by setting [azi1,azi2] = [azi1,azi2] + [d,-d], for arbitrary d. (For spheres, this prescription applies when points 1 and 2 are antipodal.)

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-
s12 = 0 (coincident points)
-
- -

There are infinitely many geodesics which can be generated by setting [azi1,azi2] = [azi1,azi2] + [d,d], for arbitrary d.

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-
- -

EXAMPLES

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Route from JFK Airport to Singapore Changi Airport:

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   echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E |
-   GeodSolve -i -: -p 0
-
-   003:18:29.9 177:29:09.2 15347628
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Equally spaced waypoints on the route:

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   for ((i = 0; i <= 10; ++i)); do echo $i/10; done |
-   GeodSolve -I 40:38:23N 073:46:44W 01:21:33N 103:59:22E -F -: -p 0
-
-   40:38:23.0N 073:46:44.0W 003:18:29.9
-   54:24:51.3N 072:25:39.6W 004:18:44.1
-   68:07:37.7N 069:40:42.9W 006:44:25.4
-   81:38:00.4N 058:37:53.9W 017:28:52.7
-   83:43:26.0N 080:37:16.9E 156:26:00.4
-   70:20:29.2N 097:01:29.4E 172:31:56.4
-   56:38:36.0N 100:14:47.6E 175:26:10.5
-   42:52:37.1N 101:43:37.2E 176:34:28.6
-   29:03:57.0N 102:39:34.8E 177:07:35.2
-   15:13:18.6N 103:22:08.0E 177:23:44.7
-   01:21:33.0N 103:59:22.0E 177:29:09.2
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SEE ALSO

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GeoConvert(1).

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An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeodSolve.

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The algorithms are described in C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI: https://doi.org/10.1007/s00190-012-0578-z; addenda: https://geographiclib.sourceforge.io/geod-addenda.html.

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The Wikipedia page, Geodesics on an ellipsoid, https://en.wikipedia.org/wiki/Geodesics_on_an_ellipsoid.

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AUTHOR

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GeodSolve was written by Charles Karney.

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HISTORY

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GeodSolve was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-03. Prior to version 1.30, it was called Geod. (The name was changed to avoid a conflict with the geod utility in proj.4.)

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeodesicProj.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeodesicProj.1.html deleted file mode 100644 index cabc84a0720e0e7389992490635d502af7ee1535..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeodesicProj.1.html +++ /dev/null @@ -1,152 +0,0 @@ - - - - -GeodesicProj(1) - - - - - - - - -

NAME

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GeodesicProj -- perform projections based on geodesics

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SYNOPSIS

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GeodesicProj ( -z | -c | -g ) lat0 lon0 [ -r ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Perform projections based on geodesics. Convert geodetic coordinates to either azimuthal equidistant, Cassini-Soldner, or gnomonic coordinates. The center of the projection (lat0, lon0) is specified by either the -c option (for Cassini-Soldner), the -z option (for azimuthal equidistant), or the -g option (for gnomonic). At least one of these options must be given (the last one given is used).

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Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude and longitude (decimal degrees or degrees, minutes, seconds); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding projected coordinates x, y (meters) are printed on standard output together with the azimuth azi (degrees) and reciprocal scale rk. For Cassini-Soldner, azi is the bearing of the easting direction and the scale in the easting direction is 1 and the scale in the northing direction is 1/rk. For azimuthal equidistant and gnomonic, azi is the bearing of the radial direction and the scale in the azimuthal direction is 1/rk. For azimuthal equidistant and gnomonic, the scales in the radial direction are 1 and 1/rk^2, respectively.

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OPTIONS

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- -
-z lat0 lon0
-
- -

use the azimuthal equidistant projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -z.

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-
-c lat0 lon0
-
- -

use the Cassini-Soldner projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -c.

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-
-g lat0 lon0
-
- -

use the ellipsoidal gnomonic projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -g.

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-
-r
-
- -

perform the reverse projection. x and y are given on standard input and each line of standard output gives latitude, longitude, azi, and rk.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for lengths (in meters). For latitudes, longitudes, and azimuths (in degrees), the number of digits after the decimal point is prec + 5. For the scale, the number of digits after the decimal point is prec + 6.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
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print version and exit.

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-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 48.648 -2.007 | GeodesicProj -c 48.836 2.337
-   => -319919 -11791 86.7 0.999
-   echo -319919 -11791 | GeodesicProj -c 48.836 2.337 -r
-   => 48.648 -2.007 86.7 0.999
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeodesicProj to return an exit code of 1. However, an error does not cause GeodesicProj to terminate; following lines will be converted.

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SEE ALSO

- -

The ellipsoidal gnomonic projection is derived in Section 8 of C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI https://doi.org/10.1007/s00190-012-0578-z; addenda: https://geographiclib.sourceforge.io/geod-addenda.html.

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AUTHOR

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GeodesicProj was written by Charles Karney.

- -

HISTORY

- -

GeodesicProj was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-08. Prior to version 1.9 it was called EquidistantTest.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeoidEval.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeoidEval.1.html deleted file mode 100644 index 58eb4d63a522f7e8ba35cc833d5eb75cc48de5ae..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/GeoidEval.1.html +++ /dev/null @@ -1,296 +0,0 @@ - - - - -GeoidEval(1) - - - - - - - - -

NAME

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GeoidEval -- look up geoid heights

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SYNOPSIS

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GeoidEval [ -n name ] [ -d dir ] [ -l ] [ -a | -c south west north east ] [ -w ] [ -z zone ] [ --msltohae ] [ --haetomsl ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

GeoidEval reads in positions on standard input and prints out the corresponding heights of the geoid above the WGS84 ellipsoid on standard output.

- -

Positions are given as latitude and longitude, UTM/UPS, or MGRS, in any of the formats accepted by GeoConvert(1). (MGRS coordinates signify the center of the corresponding MGRS square.) If the -z option is specified then the specified zone is prepended to each line of input (which must be in UTM/UPS coordinates). This allows a file with UTM eastings and northings in a single zone to be used as standard input.

- -

More accurate results for the geoid height are provided by Gravity(1). This utility can also compute the direction of gravity accurately.

- -

The height of the geoid above the ellipsoid, N, is sometimes called the geoid undulation. It can be used to convert a height above the ellipsoid, h, to the corresponding height above the geoid (the orthometric height, roughly the height above mean sea level), H, using the relations

- -
    - -

    h = N + H,   H = -N + h.

    - -
- -

OPTIONS

- -
- -
-n name
-
- -

use geoid name instead of the default egm96-5. See "GEOIDS".

- -
-
-d dir
-
- -

read geoid data from dir instead of the default. See "GEOIDS".

- -
-
-l
-
- -

use bilinear interpolation instead of cubic. See "INTERPOLATION".

- -
-
-a
-
- -

cache the entire data set in memory. See "CACHE".

- -
-
-c south west north east
-
- -

cache the data bounded by south west north east in memory. The first two arguments specify the SW corner of the cache and the last two arguments specify the NE corner. The -w flag specifies that longitude precedes latitude for these corners, provided that it appears before -c. See "CACHE".

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then when reading geographic coordinates, longitude precedes latitude (this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-z zone
-
- -

prefix each line of input by zone, e.g., 38n. This should be used when the input consists of UTM/UPS eastings and northings.

- -
-
--msltohae
-
- -

standard input should include a final token on each line which is treated as a height (in meters) above the geoid and the output echoes the input line with the height converted to height above ellipsoid (HAE). If -z zone is specified then the third token is treated as the height; this makes it possible to convert LIDAR data where each line consists of: easting northing height intensity.

- -
-
--haetomsl
-
- -

this is similar to --msltohae except that the height token is treated as a height (in meters) above the ellipsoid and the output echoes the input line with the height converted to height above the geoid (MSL).

- -
-
-v
-
- -

print information about the geoid on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default geoid path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

GEOIDS

- -

GeoidEval computes geoid heights by interpolating on the data in a regularly spaced table (see "INTERPOLATION"). The following geoid tables are available (however, some may not be installed):

- -
                                  bilinear error    cubic error
-   name         geoid    grid     max      rms      max      rms
-   egm84-30     EGM84    30'      1.546 m  70 mm    0.274 m  14 mm
-   egm84-15     EGM84    15'      0.413 m  18 mm    0.021 m  1.2 mm
-   egm96-15     EGM96    15'      1.152 m  40 mm    0.169 m  7.0 mm
-   egm96-5      EGM96     5'      0.140 m  4.6 mm   .0032 m  0.7 mm
-   egm2008-5    EGM2008   5'      0.478 m  12 mm    0.294 m  4.5 mm
-   egm2008-2_5  EGM2008   2.5'    0.135 m  3.2 mm   0.031 m  0.8 mm
-   egm2008-1    EGM2008   1'      0.025 m  0.8 mm   .0022 m  0.7 mm
- -

By default, the egm96-5 geoid is used. This may changed by setting the environment variable GEOGRAPHICLIB_GEOID_NAME or with the -n option. The errors listed here are estimates of the quantization and interpolation errors in the reported heights compared to the specified geoid.

- -

The geoid data will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_GEOID_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default geoid path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing geoid data are available at https://geographiclib.sourceforge.io/html/geoid.html#geoidinst.

- -

NOTE: all the geoids above apply to the WGS84 ellipsoid (a = 6378137 m, f = 1/298.257223563) only.

- -

INTERPOLATION

- -

Cubic interpolation is used to compute the geoid height unless -l is specified in which case bilinear interpolation is used. The cubic interpolation is based on a least-squares fit of a cubic polynomial to a 12-point stencil

- -
   . 1 1 .
-   1 2 2 1
-   1 2 2 1
-   . 1 1 .
- -

The cubic is constrained to be independent of longitude when evaluating the height at one of the poles. Cubic interpolation is considerably more accurate than bilinear; however it results in small discontinuities in the returned height on cell boundaries.

- -

CACHE

- -

By default, the data file is randomly read to compute the geoid heights at the input positions. Usually this is sufficient for interactive use. If many heights are to be computed, use -c south west north east to notify GeoidEval to read a rectangle of data into memory; heights within the this rectangle can then be computed without any disk access. If -a is specified all the geoid data is read; in the case of egm2008-1, this requires about 0.5 GB of RAM. The evaluation of heights outside the cached area causes the necessary data to be read from disk. Use the -v option to verify the size of the cache.

- -

Regardless of whether any cache is requested (with the -a or -c options), the data for the last grid cell in cached. This allows the geoid height along a continuous path to be returned with little disk overhead.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_GEOID_NAME
-
- -

Override the compile-time default geoid name of egm96-5. The -h option reports the value of GEOGRAPHICLIB_GEOID_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_GEOID_PATH
-
- -

Override the compile-time default geoid path. This is typically /usr/local/share/GeographicLib/geoids on Unix-like systems and C:/ProgramData/GeographicLib/geoids on Windows systems. The -h option reports the value of GEOGRAPHICLIB_GEOID_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default geoid path. If it is set (and if GEOGRAPHICLIB_GEOID_PATH is not set), then $GEOGRAPHICLIB_DATA/geoids is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeoidEval to return an exit code of 1. However, an error does not cause GeoidEval to terminate; following lines will be converted.

- -

ABBREVIATIONS

- -

The geoid is usually approximated by an "earth gravity model". The models published by the NGA are:

- -
- -
EGM84
-
- -

An earth gravity model published by the NGA in 1984, http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html.

- -
-
EGM96
-
- -

An earth gravity model published by the NGA in 1996, http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html.

- -
-
EGM2008
-
- -

An earth gravity model published by the NGA in 2008, http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008.

- -
-
WGS84
-
- -

World Geodetic System 1984, https://en.wikipedia.org/wiki/WGS84.

- -
-
HAE
-
- -

Height above the WGS84 ellipsoid.

- -
-
MSL
-
- -

Mean sea level, used as a convenient short hand for the geoid. (However, typically, the geoid differs by a few meters from mean sea level.)

- -
-
- -

EXAMPLES

- -

The height of the EGM96 geoid at Timbuktu

- -
    echo 16:46:33N 3:00:34W | GeoidEval
-    => 28.7068 -0.02e-6 -1.73e-6
- -

The first number returned is the height of the geoid and the 2nd and 3rd are its slopes in the northerly and easterly directions.

- -

Convert a point in UTM zone 18n from MSL to HAE

- -
   echo 531595 4468135 23 | GeoidEval --msltohae -z 18n
-   => 531595 4468135 -10.842
- -

SEE ALSO

- -

GeoConvert(1), Gravity(1), geographiclib-get-geoids(8).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeoidEval.

- -

AUTHOR

- -

GeoidEval was written by Charles Karney.

- -

HISTORY

- -

GeoidEval was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-09.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/Gravity.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/Gravity.1.html deleted file mode 100644 index bbd6f31c2e619fc87b4e821c02b636ef1ed532f6..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/Gravity.1.html +++ /dev/null @@ -1,229 +0,0 @@ - - - - -Gravity(1) - - - - - - - - -

NAME

- -

Gravity -- compute the earth's gravity field

- -

SYNOPSIS

- -

Gravity [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -G | -D | -A | -H ] [ -c lat h ] [ -w ] [ -p prec ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Gravity reads in positions on standard input and prints out the gravitational field on standard output.

- -

The input line is of the form lat lon h. lat and lon are the latitude and longitude expressed as decimal degrees or degrees, minutes, and seconds; for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). h is the height above the ellipsoid in meters; this quantity is optional and defaults to 0. Alternatively, the gravity field can be computed at various points on a circle of latitude (constant lat and h) via the -c option; in this case only the longitude should be given on the input lines. The quantities printed out are governed by the -G (default), -D, -A, or -H options.

- -

All the supported gravity models, except for grs80, use WGS84 as the reference ellipsoid a = 6378137 m, f = 1/298.257223563, omega = 7292115e-11 rad/s, and GM = 3986004.418e8 m^3/s^2.

- -

OPTIONS

- -
- -
-n name
-
- -

use gravity field model name instead of the default egm96. See "MODELS".

- -
-
-d dir
-
- -

read gravity models from dir instead of the default. See "MODELS".

- -
-
-N Nmax
-
- -

limit the degree of the model to Nmax.

- -
-
-M Mmax
-
- -

limit the order of the model to Mmax.

- -
-
-G
-
- -

compute the acceleration due to gravity (including the centrifugal acceleration due the the earth's rotation) g. The output consists of gx gy gz (all in m/s^2), where the x, y, and z components are in easterly, northerly, and up directions, respectively. Usually gz is negative.

- -
-
-D
-
- -

compute the gravity disturbance delta = g - gamma, where gamma is the "normal" gravity due to the reference ellipsoid . The output consists of deltax deltay deltaz (all in mGal, 1 mGal = 10^-5 m/s^2), where the x, y, and z components are in easterly, northerly, and up directions, respectively. Note that deltax = gx, because gammax = 0.

- -
-
-A
-
- -

computes the gravitational anomaly. The output consists of 3 items Dg01 xi eta, where Dg01 is in mGal (1 mGal = 10^-5 m/s^2) and xi and eta are in arcseconds. The gravitational anomaly compares the gravitational field g at P with the normal gravity gamma at Q where the P is vertically above Q and the gravitational potential at P equals the normal potential at Q. Dg01 gives the difference in the magnitudes of these two vectors and xi and eta give the difference in their directions (as northerly and easterly components). The calculation uses a spherical approximation to match the results of the NGA's synthesis programs.

- -
-
-H
-
- -

compute the height of the geoid above the reference ellipsoid (in meters). In this case, h should be zero. The results accurately match the results of the NGA's synthesis programs. GeoidEval(1) can compute geoid heights much more quickly by interpolating on a grid of precomputed results; however the results from GeoidEval(1) are only accurate to a few millimeters.

- -
-
-c lat h
-
- -

evaluate the field on a circle of latitude given by lat and h instead of reading these quantities from the input lines. In this case, Gravity can calculate the field considerably more quickly. If geoid heights are being computed (the -H option), then h must be zero.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec. By default prec is 5 for acceleration due to gravity, 3 for the gravity disturbance and anomaly, and 4 for the geoid height.

- -
-
-v
-
- -

print information about the gravity model on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default gravity path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

MODELS

- -

Gravity computes the gravity field using one of the following models

- -
    egm84, earth gravity model 1984.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html
-    egm96, earth gravity model 1996.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html
-    egm2008, earth gravity model 2008.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008
-    wgs84, world geodetic system 1984.  This returns the normal
-      gravity for the WGS84 ellipsoid.
-    grs80, geodetic reference system 1980.  This returns the normal
-      gravity for the GRS80 ellipsoid.
- -

These models approximate the gravitation field above the surface of the earth. By default, the egm96 gravity model is used. This may changed by setting the environment variable GEOGRAPHICLIB_GRAVITY_NAME or with the -n option.

- -

The gravity models will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_GRAVITY_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default gravity path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing gravity models are available at https://geographiclib.sourceforge.io/html/gravity.html#gravityinst.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_GRAVITY_NAME
-
- -

Override the compile-time default gravity name of egm96. The -h option reports the value of GEOGRAPHICLIB_GRAVITY_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_GRAVITY_PATH
-
- -

Override the compile-time default gravity path. This is typically /usr/local/share/GeographicLib/gravity on Unix-like systems and C:/ProgramData/GeographicLib/gravity on Windows systems. The -h option reports the value of GEOGRAPHICLIB_GRAVITY_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default gravity path. If it is set (and if GEOGRAPHICLIB_GRAVITY_PATH is not set), then $GEOGRAPHICLIB_DATA/gravity is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes Gravity to return an exit code of 1. However, an error does not cause Gravity to terminate; following lines will be converted.

- -

EXAMPLES

- -

The gravity field from EGM2008 at the top of Mount Everest

- -
    echo 27:59:17N 86:55:32E 8820 | Gravity -n egm2008
-    => -0.00001 0.00103 -9.76782
- -

SEE ALSO

- -

GeoConvert(1), GeoidEval(1), geographiclib-get-gravity(8).

- -

AUTHOR

- -

Gravity was written by Charles Karney.

- -

HISTORY

- -

Gravity was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.16.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/MagneticField.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/MagneticField.1.html deleted file mode 100644 index f8215497babbb5d99decfe984ab38ee27dda3782..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/MagneticField.1.html +++ /dev/null @@ -1,265 +0,0 @@ - - - - -MagneticField(1) - - - - - - - - -

NAME

- -

MagneticField -- compute the earth's magnetic field

- -

SYNOPSIS

- -

MagneticField [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -t time | -c time lat h ] [ -r ] [ -w ] [ -T tguard ] [ -H hguard ] [ -p prec ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

MagneticField reads in times and positions on standard input and prints out the geomagnetic field on standard output and, optionally, its rate of change.

- -

The input line is of the form time lat lon h. time is a date of the form 2012-07-03, a fractional year such as 2012.5, or the string "now". lat and lon are the latitude and longitude expressed as decimal degrees or degrees, minutes, and seconds; for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). h is the height above the ellipsoid in meters; this is optional and defaults to zero. Alternatively, time can be given on the command line as the argument to the -t option, in which case it should not be included on the input lines. Finally, the magnetic field can be computed at various points on a circle of latitude (constant time, lat, and h) via the -c option; in this case only the longitude should be given on the input lines.

- -

The output consists of the following 7 items:

- -
  the declination (the direction of the horizontal component of
-    the magnetic field measured clockwise from north) in degrees,
-  the inclination (the direction of the magnetic field measured
-    down from the horizontal) in degrees,
-  the horizontal field in nanotesla (nT),
-  the north component of the field in nT,
-  the east component of the field in nT,
-  the vertical component of the field in nT (down is positive),
-  the total field in nT.
- -

If the -r option is given, a second line is printed giving the rates of change of these quantities in degrees/yr and nT/yr.

- -

The WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -

OPTIONS

- -
- -
-n name
-
- -

use magnetic field model name instead of the default wmm2020. See "MODELS".

- -
-
-d dir
-
- -

read magnetic models from dir instead of the default. See "MODELS".

- -
-
-N Nmax
-
- -

limit the degree of the model to Nmax.

- -
-
-M Mmax
-
- -

limit the order of the model to Mmax.

- -
-
-t time
-
- -

evaluate the field at time instead of reading the time from the input lines.

- -
-
-c time lat h
-
- -

evaluate the field on a circle of latitude given by time, lat, h instead of reading these quantities from the input lines. In this case, MagneticField can calculate the field considerably more quickly.

- -
-
-r
-
- -

toggle whether to report the rates of change of the field.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-T tguard
-
- -

signal an error if time lies tguard years (default 50 yr) beyond the range for the model.

- -
-
-H hguard
-
- -

signal an error if h lies hguard meters (default 500000 m) beyond the range for the model.

- -
-
-p prec
-
- -

set the output precision to prec (default 1). Fields are printed with precision with prec decimal places; angles use prec + 1 places.

- -
-
-v
-
- -

print information about the magnetic model on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default magnetic path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

MODELS

- -

MagneticField computes the geomagnetic field using one of the following models

- -
    wmm2010, the World Magnetic Model 2010, which approximates the
-      main magnetic field for the period 2010-2015.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    wmm2015v2, the World Magnetic Model 2015, which approximates the
-      main magnetic field for the period 2015-2020.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    wmm2015, a deprecated version of wmm2015v2
-    wmm2020, the World Magnetic Model 2020, which approximates the
-      main magnetic field for the period 2020-2025.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    igrf11, the International Geomagnetic Reference Field (11th
-      generation), which approximates the main magnetic field for
-      the period 1900-2015.  See
-      https://ngdc.noaa.gov/IAGA/vmod/igrf.html
-    igrf12, the International Geomagnetic Reference Field (12th
-      generation), which approximates the main magnetic field for
-      the period 1900-2020.  See
-      https://ngdc.noaa.gov/IAGA/vmod/igrf.html
-    emm2010, the Enhanced Magnetic Model 2010, which approximates
-      the main and crustal magnetic fields for the period 2010-2015.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
-    emm2015, the Enhanced Magnetic Model 2015, which approximates
-      the main and crustal magnetic fields for the period 2000-2020.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
-    emm2017, the Enhanced Magnetic Model 2017, which approximates
-      the main and crustal magnetic fields for the period 2000-2022.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
- -

These models approximate the magnetic field due to the earth's core and (in the case of emm20xx) its crust. They neglect magnetic fields due to the ionosphere, the magnetosphere, nearby magnetized materials, electrical machinery, etc.

- -

By default, the wmm2020 magnetic model is used. This may changed by setting the environment variable GEOGRAPHICLIB_MAGNETIC_NAME or with the -n option.

- -

The magnetic models will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_MAGNETIC_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default magnetic path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing magnetic models are available at https://geographiclib.sourceforge.io/html/magnetic.html#magneticinst.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_MAGNETIC_NAME
-
- -

Override the compile-time default magnetic name of wmm2020. The -h option reports the value of GEOGRAPHICLIB_MAGNETIC_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_MAGNETIC_PATH
-
- -

Override the compile-time default magnetic path. This is typically /usr/local/share/GeographicLib/magnetic on Unix-like systems and C:/ProgramData/GeographicLib/magnetic on Windows systems. The -h option reports the value of GEOGRAPHICLIB_MAGNETIC_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default magnetic path. If it is set (and if GEOGRAPHICLIB_MAGNETIC_PATH is not set), then $GEOGRAPHICLIB_DATA/magnetic is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes MagneticField to return an exit code of 1. However, an error does not cause MagneticField to terminate; following lines will be converted. If time or h are outside the recommended ranges for the model (but inside the ranges increase by tguard and hguard), a warning is printed on standard error and the field (which may be inaccurate) is returned in the normal way.

- -

EXAMPLES

- -

The magnetic field from WMM2020 in Timbuktu on 2020-01-01

- -
    echo 2020-01-01 16:46:33N 3:00:34W 300 | MagneticField -r
-    => -1.60 12.00 33973.5 33960.3 -948.1 7223.0 34732.8
-       0.13 -0.02 21.8 23.9 77.9 -8.4 19.5
- -

The first two numbers returned are the declination and inclination of the field. The second line gives the annual change.

- -

SEE ALSO

- -

GeoConvert(1), geographiclib-get-magnetic(8).

- -

AUTHOR

- -

MagneticField was written by Charles Karney.

- -

HISTORY

- -

MagneticField was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.15.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/Planimeter.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/Planimeter.1.html deleted file mode 100644 index 575e0a419824d2ceab2a9f9a5ab46178618a8f18..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/Planimeter.1.html +++ /dev/null @@ -1,201 +0,0 @@ - - - - -Planimeter(1) - - - - - - - - -

NAME

- -

Planimeter -- compute the area of geodesic polygons

- -

SYNOPSIS

- -

Planimeter [ -r ] [ -s ] [ -l ] [ -e a f ] [ -w ] [ -p prec ] [ -G | -E | -Q | -R ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Measure the area of a geodesic polygon. Reads polygon vertices from standard input, one per line. Vertices may be given as latitude and longitude, UTM/UPS, or MGRS coordinates, interpreted in the same way as GeoConvert(1). (MGRS coordinates signify the center of the corresponding MGRS square.) The end of input, a blank line, or a line which can't be interpreted as a vertex signals the end of one polygon and the start of the next. For each polygon print a summary line with the number of points, the perimeter (in meters), and the area (in meters^2).

- -

The edges of the polygon are given by the shortest geodesic between consecutive vertices. In certain cases, there may be two or many such shortest geodesics, and in that case, the polygon is not uniquely specified by its vertices. This only happens with very long edges (for the WGS84 ellipsoid, any edge shorter than 19970 km is uniquely specified by its end points). In such cases, insert an additional vertex near the middle of the long edge to define the boundary of the polygon.

- -

By default, polygons traversed in a counter-clockwise direction return a positive area and those traversed in a clockwise direction return a negative area. This sign convention is reversed if the -r option is given.

- -

Of course, encircling an area in the clockwise direction is equivalent to encircling the rest of the ellipsoid in the counter-clockwise direction. The default interpretation used by Planimeter is the one that results in a smaller magnitude of area; i.e., the magnitude of the area is less than or equal to one half the total area of the ellipsoid. If the -s option is given, then the interpretation used is the one that results in a positive area; i.e., the area is positive and less than the total area of the ellipsoid.

- -

Arbitrarily complex polygons are allowed. In the case of self-intersecting polygons the area is accumulated "algebraically", e.g., the areas of the 2 loops in a figure-8 polygon will partially cancel. Polygons may include one or both poles. There is no need to close the polygon.

- -

OPTIONS

- -
- -
-r
-
- -

toggle whether counter-clockwise traversal of the polygon returns a positive (the default) or negative result.

- -
-
-s
-
- -

toggle whether to return a signed result (the default) or not.

- -
-
-l
-
- -

toggle whether the vertices represent a polygon (the default) or a polyline. For a polyline, the number of points and the length of the path joining them is returned; the path is not closed and the area is not reported.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563. If entering vertices as UTM/UPS or MGRS coordinates, use the default ellipsoid, since the conversion of these coordinates to latitude and longitude always uses the WGS84 parameters.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then when reading geographic coordinates, longitude precedes latitude (this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6); the perimeter is given (in meters) with prec digits after the decimal point; the area is given (in meters^2) with (prec - 5) digits after the decimal point.

- -
-
-G
-
- -

use the series formulation for the geodesics. This is the default option and is recommended for terrestrial applications. This option, -G, and the following three options, -E, -Q, and -R, are mutually exclusive.

- -
-
-E
-
- -

use "exact" algorithms (based on elliptic integrals) for the geodesic calculations. These are more accurate than the (default) series expansions for |f| > 0.02. (But note that the implementation of areas in GeodesicExact uses a high order series and this is only accurate for modest flattenings.)

- -
-
-Q
-
- -

perform the calculation on the authalic sphere. The area calculation is accurate even if the flattening is large, provided the edges are sufficiently short. The perimeter calculation is not accurate.

- -
-
-R
-
- -

The lines joining the vertices are rhumb lines instead of geodesics.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing. For a given polygon, the last such string found will be appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -

Example (the area of the 100km MGRS square 18SWK)

- -
   Planimeter <<EOF
-   18n 500000 4400000
-   18n 600000 4400000
-   18n 600000 4500000
-   18n 500000 4500000
-   EOF
-   => 4 400139.53295860 10007388597.1913
- -

The following code takes the output from gdalinfo and reports the area covered by the data (assuming the edges of the image are geodesics).

- -
   #! /bin/sh
-   egrep '^((Upper|Lower) (Left|Right)|Center) ' |
-   sed -e 's/d /d/g' -e "s/' /'/g" | tr -s '(),\r\t' ' ' | awk '{
-       if ($1 $2 == "UpperLeft")
-           ul = $6 " " $5;
-       else if ($1 $2 == "LowerLeft")
-           ll = $6 " " $5;
-       else if ($1 $2 == "UpperRight")
-           ur = $6 " " $5;
-       else if ($1 $2 == "LowerRight")
-           lr = $6 " " $5;
-       else if ($1 == "Center") {
-           printf "%s\n%s\n%s\n%s\n\n", ul, ll, lr, ur;
-           ul = ll = ur = lr = "";
-       }
-   }
-   ' | Planimeter | cut -f3 -d' '
- -

SEE ALSO

- -

GeoConvert(1), GeodSolve(1).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/Planimeter.

- -

The algorithm for the area of geodesic polygon is given in Section 6 of C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI https://doi.org/10.1007/s00190-012-0578-z; addenda: https://geographiclib.sourceforge.io/geod-addenda.html.

- -

AUTHOR

- -

Planimeter was written by Charles Karney.

- -

HISTORY

- -

Planimeter was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.4.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/RhumbSolve.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/RhumbSolve.1.html deleted file mode 100644 index d04916df0f69b43a5231ea1d97c8d81d8157ef7c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/RhumbSolve.1.html +++ /dev/null @@ -1,212 +0,0 @@ - - - - -RhumbSolve(1) - - - - - - - - -

NAME

- -

RhumbSolve -- perform rhumb line calculations

- -

SYNOPSIS

- -

RhumbSolve [ -i | -L lat1 lon1 azi12 ] [ -e a f ] [ -d | -: ] [ -w ] [ -p prec ] [ -s ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

The path with constant heading between two points on the ellipsoid at (lat1, lon1) and (lat2, lon2) is called the rhumb line or loxodrome. Its length is s12 and the rhumb line has a forward azimuth azi12 along its length. Also computed is S12 is the area between the rhumb line from point 1 to point 2 and the equator; i.e., it is the area, measured counter-clockwise, of the geodesic quadrilateral with corners (lat1,lon1), (0,lon1), (0,lon2), and (lat2,lon2). A point at a pole is treated as a point a tiny distance away from the pole on the given line of longitude. The longitude becomes indeterminate when a rhumb line passes through a pole, and RhumbSolve reports NaNs for the longitude and the area in this case.

- -

NOTE: the rhumb line is not the shortest path between two points; that is the geodesic and it is calculated by GeodSolve(1).

- -

RhumbSolve operates in one of three modes:

- -
    - -

  1. By default, RhumbSolve accepts lines on the standard input containing lat1 lon1 azi12 s12 and prints lat2 lon2 S12 on standard output. This is the direct calculation.

    - -
    2. -

  2. With the -i command line argument, RhumbSolve performs the inverse calculation. It reads lines containing lat1 lon1 lat2 lon2 and prints the values of azi12 s12 S12 for the corresponding shortest rhumb lines. If the end points are on opposite meridians, there are two shortest rhumb lines and the east-going one is chosen.

    - -
    3. -

  3. Command line arguments -L lat1 lon1 azi12 specify a rhumb line. RhumbSolve then accepts a sequence of s12 values (one per line) on standard input and prints lat2 lon2 S12 for each. This generates a sequence of points on a rhumb line.

    - -
    4. -
- -

OPTIONS

- -
- -
-i
-
- -

perform an inverse calculation (see 2 above).

- -
-
-L lat1 lon1 azi12
-
- -

line mode (see 3 above); generate a sequence of points along the rhumb line specified by lat1 lon1 azi12. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -L. (-l is an alternative, deprecated, spelling of this flag.)

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-d
-
- -

output angles as degrees, minutes, seconds instead of decimal degrees.

- -
-
-:
-
- -

like -d, except use : as a separator instead of the d, ', and " delimiters.

- -
-
-w
-
- -

on input and output, longitude precedes latitude (except that on input this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 3); prec is the precision relative to 1 m. See "PRECISION".

- -
-
-s
-
- -

By default, the rhumb line calculations are carried out exactly in terms of elliptic integrals. This includes the use of the addition theorem for elliptic integrals to compute the divided difference of the isometric and rectifying latitudes. If -s is supplied this divided difference is computed using Krueger series for the transverse Mercator projection which is only accurate for |f| < 0.01. See "ACCURACY".

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

INPUT

- -

RhumbSolve measures all angles in degrees, all lengths (s12) in meters, and all areas (S12) in meters^2. On input angles (latitude, longitude, azimuth, arc length) can be as decimal degrees or degrees, minutes, seconds. For example, 40d30, 40d30', 40:30, 40.5d, and 40.5 are all equivalent. By default, latitude precedes longitude for each point (the -w flag switches this convention); however on input either may be given first by appending (or prepending) N or S to the latitude and E or W to the longitude. Azimuths are measured clockwise from north; however this may be overridden with E or W.

- -

For details on the allowed formats for angles, see the GEOGRAPHIC COORDINATES section of GeoConvert(1).

- -

PRECISION

- -

prec gives precision of the output with prec = 0 giving 1 m precision, prec = 3 giving 1 mm precision, etc. prec is the number of digits after the decimal point for lengths. For decimal degrees, the number of digits after the decimal point is prec + 5. For DMS (degree, minute, seconds) output, the number of digits after the decimal point in the seconds component is prec + 1. The minimum value of prec is 0 and the maximum is 10.

- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes RhumbSolve to return an exit code of 1. However, an error does not cause RhumbSolve to terminate; following lines will be converted.

- -

ACCURACY

- -

The algorithm used by RhumbSolve uses exact formulas for converting between the latitude, rectifying latitude (mu), and isometric latitude (psi). These formulas are accurate for any value of the flattening. The computation of rhumb lines involves the ratio (psi1 - psi2) / (mu1 - mu2) and this is subject to large round-off errors if lat1 is close to lat2. So this ratio is computed using divided differences using one of two methods: by default, this uses the addition theorem for elliptic integrals (accurate for all values of f); however, with the -s options, it is computed using the series expansions used by TransverseMercatorProj(1) for the conversions between rectifying and conformal latitudes (accurate for |f| < 0.01). For the WGS84 ellipsoid, the error is about 10 nanometers using either method.

- -

EXAMPLES

- -

Route from JFK Airport to Singapore Changi Airport:

- -
   echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E |
-   RhumbSolve -i -: -p 0
-
-   103:34:58.2 18523563
- -

N.B. This is not the route typically taken by aircraft because it's considerably longer than the geodesic given by GeodSolve(1).

- -

Waypoints on the route at intervals of 2000km:

- -
   for ((i = 0; i <= 20; i += 2)); do echo ${i}000000;done |
-   RhumbSolve -L 40:38:23N 073:46:44W 103:34:58.2 -: -p 0
-
-   40:38:23.0N 073:46:44.0W 0
-   36:24:30.3N 051:28:26.4W 9817078307821
-   32:10:26.8N 030:20:57.3W 18224745682005
-   27:56:13.2N 010:10:54.2W 25358020327741
-   23:41:50.1N 009:12:45.5E 31321269267102
-   19:27:18.7N 027:59:22.1E 36195163180159
-   15:12:40.2N 046:17:01.1E 40041499143669
-   10:57:55.9N 064:12:52.8E 42906570007050
-   06:43:07.3N 081:53:28.8E 44823504180200
-   02:28:16.2N 099:24:54.5E 45813843358737
-   01:46:36.0S 116:52:59.7E 45888525219677
- -

SEE ALSO

- -

GeoConvert(1), GeodSolve(1), TransverseMercatorProj(1).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/RhumbSolve.

- -

The Wikipedia page, Rhumb line, https://en.wikipedia.org/wiki/Rhumb_line.

- -

AUTHOR

- -

RhumbSolve was written by Charles Karney.

- -

HISTORY

- -

RhumbSolve was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.37.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/TransverseMercatorProj.1.html b/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/TransverseMercatorProj.1.html deleted file mode 100644 index d1b9e4e84d35b62e6b45eb128e81fc8fa54fd275..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html-stage/TransverseMercatorProj.1.html +++ /dev/null @@ -1,162 +0,0 @@ - - - - -TransverseMercatorProj(1) - - - - - - - - -

NAME

- -

TransverseMercatorProj -- perform transverse Mercator projection

- -

SYNOPSIS

- -

TransverseMercatorProj [ -s | -t ] [ -l lon0 ] [ -k k0 ] [ -r ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Perform the transverse Mercator projections. Convert geodetic coordinates to transverse Mercator coordinates. The central meridian is given by lon0. The longitude of origin is the equator. The scale on the central meridian is k0. By default an implementation of the exact transverse Mercator projection is used.

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude and longitude (decimal degrees or degrees, minutes, seconds); for detils on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding projected easting, x, and northing, y, (meters) are printed on standard output together with the meridian convergence gamma (degrees) and scale k. The meridian convergence is the bearing of grid north (the y axis) measured clockwise from true north.

- -

OPTIONS

- -
- -
-s
-
- -

use the sixth-order Krueger series approximation to the transverse Mercator projection instead of the exact projection.

- -
-
-t
-
- -

use the exact algorithm with the "EXTENDED DOMAIN".

- -
-
-l lon0
-
- -

specify the longitude of origin lon0 (degrees, default 0).

- -
-
-k k0
-
- -

specify the scale k0 on the central meridian (default 0.9996).

- -
-
-r
-
- -

perform the reverse projection. x and y are given on standard input and each line of standard output gives latitude, longitude, gamma, and k.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563. If the exact algorithm is used, f must be positive.

- -
-
-w
-
- -

on input and output, longitude precedes latitude (except that on input this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for lengths (in meters). For latitudes and longitudes (in degrees), the number of digits after the decimal point is prec + 5. For the convergence (in degrees) and scale, the number of digits after the decimal point is prec + 6.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXTENDED DOMAIN

- -

The exact transverse Mercator projection has a branch point on the equator at longitudes (relative to lon0) of +/- (1 - e) 90, where e is the eccentricity of the ellipsoid. The standard convention for handling this branch point is to map positive (negative) latitudes into positive (negative) northings y; i.e., a branch cut is placed on the equator. With the extended domain, the northern sheet of the projection is extended into the south hemisphere by pushing the branch cut south from the branch points. See the reference below for details.

- -

EXAMPLES

- -
   echo 0 90 | TransverseMercatorProj
-   => 25953592.84 9997964.94 90 18.40
-   echo 260e5 100e5 | TransverseMercatorProj -r
-   => -0.02 90.00 90.01 18.48
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes TransverseMercatorProj to return an exit code of 1. However, an error does not cause TransverseMercatorProj to terminate; following lines will be converted.

- -

AUTHOR

- -

TransverseMercatorProj was written by Charles Karney.

- -

SEE ALSO

- -

The algorithms for the transverse Mercator projection are described in C. F. F. Karney, Transverse Mercator with an accuracy of a few nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI https://doi.org/10.1007/s00190-011-0445-3; preprint https://arxiv.org/abs/1002.1417. The explanation of the extended domain of the projection with the -t option is given in Section 5 of this paper.

- -

HISTORY

- -

TransverseMercatorProj was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-01. Prior to version 1.9 it was called TransverseMercatorTest (and its interface was slightly different).

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html/LICENSE.txt b/libs/GeographicLib-1.50.1/BUILD/doc/html/LICENSE.txt deleted file mode 100644 index d1bcab1a0cf44d5c28266653ce12ab41b5cb2813..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html/LICENSE.txt +++ /dev/null @@ -1,24 +0,0 @@ -The MIT License (MIT); this license applies to GeographicLib, -versions 1.12 and later. - -Copyright (c) 2008-2019, Charles Karney - -Permission is hereby granted, free of charge, to any person -obtaining a copy of this software and associated documentation -files (the "Software"), to deal in the Software without -restriction, including without limitation the rights to use, copy, -modify, merge, publish, distribute, sublicense, and/or sell copies -of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be -included in all copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, -EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF -MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND -NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT -HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, -WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER -DEALINGS IN THE SOFTWARE. diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html/index.html b/libs/GeographicLib-1.50.1/BUILD/doc/html/index.html deleted file mode 100644 index 74960944c84ce33cd623f27e25b563953453dc2e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html/index.html +++ /dev/null @@ -1,24 +0,0 @@ - - - GeographicLib-1.50.1 documentation - - - -

-
- - Online documentation for GeographicLib version - 1.50.1 is available at -
- - https://geographiclib.sourceforge.io/1.50.1/index.html. -
-
- You will be redirected there. Click on the link to go there - directly. - -
-

- - diff --git a/libs/GeographicLib-1.50.1/BUILD/doc/html/utilities.html b/libs/GeographicLib-1.50.1/BUILD/doc/html/utilities.html deleted file mode 100644 index c1ff0985f083922a045db33080718290fa7f8f28..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/doc/html/utilities.html +++ /dev/null @@ -1,24 +0,0 @@ - - - GeographicLib-1.50.1 utilities - - - -

-
- - Online documentation for utilities for GeographicLib version - 1.50.1 is available at -
- - https://geographiclib.sourceforge.io/1.50.1/utilities.html. -
-
- You will be redirected there. Click on the link to go there - directly. - -
-

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"false") settings are represented by - # the same string. - set (CMAKE_CROSSCOMPILING_STR "ON") -else () - set (CMAKE_CROSSCOMPILING_STR "OFF") -endif () - -if (NOT PACKAGE_FIND_NAME STREQUAL "GeographicLib") - # Check package name (in particular, because of the way cmake finds - # package config files, the capitalization could easily be "wrong"). - # This is necessary to ensure that the automatically generated - # variables, e.g., _FOUND, are consistently spelled. - set (REASON "package = GeographicLib, NOT ${PACKAGE_FIND_NAME}") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (NOT (APPLE OR (NOT DEFINED CMAKE_SIZEOF_VOID_P) OR - CMAKE_SIZEOF_VOID_P EQUAL 8)) - # Reject if there's a 32-bit/64-bit mismatch (not necessary with Apple - # since a multi-architecture library is built for that platform). - set (REASON "sizeof(*void) = 8") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (MSVC AND NOT ( - # toolset version must be at least as great as GeographicLib's - MSVC_TOOLSET_VERSION GREATER_EQUAL 0 - # and major versions must match - AND MSVC_TOOLSET_MAJOR EQUAL 0 )) - # Reject if there's a mismatch in MSVC compiler versions - set (REASON "MSVC_TOOLSET_VERSION = 0") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (NOT CMAKE_CROSSCOMPILING_STR STREQUAL "OFF") - # Reject if there's a mismatch in ${CMAKE_CROSSCOMPILING} - set (REASON "cross-compiling = FALSE") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (CMAKE_CROSSCOMPILING AND - NOT (CMAKE_SYSTEM_NAME STREQUAL "Linux" AND - CMAKE_SYSTEM_PROCESSOR STREQUAL "x86_64")) - # Reject if cross-compiling and there's a mismatch in the target system - set (REASON "target = Linux-x86_64") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (PACKAGE_FIND_VERSION) - if (PACKAGE_FIND_VERSION VERSION_EQUAL PACKAGE_VERSION) - set (PACKAGE_VERSION_EXACT TRUE) - elseif (PACKAGE_FIND_VERSION VERSION_LESS PACKAGE_VERSION - AND PACKAGE_FIND_VERSION_MAJOR EQUAL PACKAGE_VERSION_MAJOR) - set (PACKAGE_VERSION_COMPATIBLE TRUE) - endif () -endif () - -set (GeographicLib_SHARED_FOUND ON) -set (GeographicLib_STATIC_FOUND OFF) -set (GeographicLib_NETGeographicLib_FOUND OFF) - -# Check for the components requested. The convention is that -# GeographicLib_${comp}_FOUND should be true for all the required -# components. -if (GeographicLib_FIND_COMPONENTS) - foreach (comp ${GeographicLib_FIND_COMPONENTS}) - if (GeographicLib_FIND_REQUIRED_${comp} AND - NOT GeographicLib_${comp}_FOUND) - set (REASON "without ${comp}") - set (PACKAGE_VERSION_UNSUITABLE TRUE) - endif () - endforeach () -endif () - -# If unsuitable, append the reason to the package version so that it's -# visible to the user. -if (PACKAGE_VERSION_UNSUITABLE) - set (PACKAGE_VERSION "${PACKAGE_VERSION} (${REASON})") -endif () diff --git a/libs/GeographicLib-1.50.1/BUILD/geographiclib-config.cmake b/libs/GeographicLib-1.50.1/BUILD/geographiclib-config.cmake deleted file mode 100644 index acc679af488b4a845c7c171c751d38fae2abdc4b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/geographiclib-config.cmake +++ /dev/null @@ -1,100 +0,0 @@ -# Configure GeographicLib -# -# Set -# GeographicLib_FOUND = GEOGRAPHICLIB_FOUND = 1 -# GeographicLib_INCLUDE_DIRS = /usr/local/include -# GeographicLib_SHARED_LIBRARIES = GeographicLib_SHARED (or empty) -# GeographicLib_STATIC_LIBRARIES = GeographicLib_STATIC (or empty) -# GeographicLib_LIBRARY_DIRS = /usr/local/lib -# GeographicLib_BINARY_DIRS = /usr/local/bin -# GeographicLib_VERSION = 1.34 (for example) -# GEOGRAPHICLIB_DATA = /usr/local/share/GeographicLib (for example) -# Depending on GeographicLib_USE_STATIC_LIBS -# GeographicLib_LIBRARIES = ${GeographicLib_SHARED_LIBRARIES}, if OFF -# GeographicLib_LIBRARIES = ${GeographicLib_STATIC_LIBRARIES}, if ON -# If only one of the libraries is provided, then -# GeographicLib_USE_STATIC_LIBS is ignored. -# -# Since cmake 2.8.11 or later, there's no need to include -# include_directories (${GeographicLib_INCLUDE_DIRS}) -# The variables are retained for information. -# -# The following variables are only relevant if the library has been -# compiled with a default precision different from double: -# GEOGRAPHICLIB_PRECISION = the precision of the library (usually 2) -# GeographicLib_HIGHPREC_LIBRARIES = the libraries need for high precision - -message (STATUS "Reading ${CMAKE_CURRENT_LIST_FILE}") -# GeographicLib_VERSION is set by version file -message (STATUS - "GeographicLib configuration, version ${GeographicLib_VERSION}") - -# Tell the user project where to find our headers and libraries -get_filename_component (_DIR ${CMAKE_CURRENT_LIST_FILE} PATH) -if (IS_ABSOLUTE "/home/valentin/src/GeographicLib-1.50.1/BUILD") - # This is an uninstalled package (still in the build tree) - set (_ROOT "/home/valentin/src/GeographicLib-1.50.1/BUILD") - set (GeographicLib_INCLUDE_DIRS "/home/valentin/src/GeographicLib-1.50.1/BUILD/include;/home/valentin/src/GeographicLib-1.50.1/include") - set (GeographicLib_LIBRARY_DIRS "${_ROOT}/src") - set (GeographicLib_BINARY_DIRS "${_ROOT}/tools") -else () - # This is an installed package; figure out the paths relative to the - # current directory. - get_filename_component (_ROOT "${_DIR}//home/valentin/src/GeographicLib-1.50.1/BUILD" ABSOLUTE) - set (GeographicLib_INCLUDE_DIRS "${_ROOT}/include") - set (GeographicLib_LIBRARY_DIRS "${_ROOT}/lib") - set (GeographicLib_BINARY_DIRS "${_ROOT}/bin") -endif () -set (GEOGRAPHICLIB_DATA "/usr/local/share/GeographicLib") -set (GEOGRAPHICLIB_PRECISION 2) -set (GeographicLib_HIGHPREC_LIBRARIES "") - -set (GeographicLib_SHARED_LIBRARIES GeographicLib_SHARED) -set (GeographicLib_STATIC_LIBRARIES ) -# Read in the exported definition of the library -include ("${_DIR}/geographiclib-targets.cmake") -include ("${_DIR}/geographiclib-namespace-targets.cmake") - -# For interoperability with older installations of GeographicLib and -# with packages which depend on GeographicLib, GeographicLib_LIBRARIES -# etc. still point to the non-namespace variables. Tentatively plan to -# transition to namespace variables as follows: -# -# * namespace targets were introduced with version 1.47 (2017-02-15) -# * switch GeographicLib_LIBRARIES to point to namespace variable after -# 2020-02 -# * remove non-namespace variables after 2023-02 - -unset (_ROOT) -unset (_DIR) - -if ((NOT GeographicLib_SHARED_LIBRARIES) OR - (GeographicLib_USE_STATIC_LIBS AND GeographicLib_STATIC_LIBRARIES)) - set (GeographicLib_LIBRARIES ${GeographicLib_STATIC_LIBRARIES}) - message (STATUS " \${GeographicLib_LIBRARIES} set to static library") -else () - set (GeographicLib_LIBRARIES ${GeographicLib_SHARED_LIBRARIES}) - message (STATUS " \${GeographicLib_LIBRARIES} set to shared library") -endif () - -set (GeographicLib_NETGeographicLib_LIBRARIES ) - -# Check for the components requested. This only supports components -# STATIC, SHARED, and NETGeographicLib by checking the value of -# GeographicLib_${comp}_LIBRARIES. No need to check if the component -# is required or not--the version file took care of that. -# GeographicLib_${comp}_FOUND is set appropriately for each component. -if (GeographicLib_FIND_COMPONENTS) - foreach (comp ${GeographicLib_FIND_COMPONENTS}) - if (GeographicLib_${comp}_LIBRARIES) - set (GeographicLib_${comp}_FOUND 1) - message (STATUS "GeographicLib component ${comp} found") - else () - set (GeographicLib_${comp}_FOUND 0) - message (WARNING "GeographicLib component ${comp} not found") - endif () - endforeach () -endif () - -# GeographicLib_FOUND is set to 1 automatically -set (GEOGRAPHICLIB_FOUND 1) # for backwards compatibility diff --git a/libs/GeographicLib-1.50.1/BUILD/geographiclib-namespace-targets.cmake b/libs/GeographicLib-1.50.1/BUILD/geographiclib-namespace-targets.cmake deleted file mode 100644 index b0cf537564ee90548025948603e2507fa8ad0bed..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/geographiclib-namespace-targets.cmake +++ /dev/null @@ -1,173 +0,0 @@ -# Generated by CMake - -if("${CMAKE_MAJOR_VERSION}.${CMAKE_MINOR_VERSION}" LESS 2.5) - message(FATAL_ERROR "CMake >= 2.6.0 required") -endif() -cmake_policy(PUSH) -cmake_policy(VERSION 2.6) -#---------------------------------------------------------------- -# Generated CMake target import file. -#---------------------------------------------------------------- - -# Commands may need to know the format version. -set(CMAKE_IMPORT_FILE_VERSION 1) - -if(CMAKE_VERSION VERSION_LESS 3.0.0) - message(FATAL_ERROR "This file relies on consumers using CMake 3.0.0 or greater.") -endif() - -# Protect against multiple inclusion, which would fail when already imported targets are added once more. -set(_targetsDefined) -set(_targetsNotDefined) -set(_expectedTargets) -foreach(_expectedTarget GeographicLib::GeographicLib_SHARED GeographicLib::GeographicLib GeographicLib::CartConvert GeographicLib::ConicProj GeographicLib::GeodesicProj GeographicLib::GeoConvert GeographicLib::GeodSolve GeographicLib::GeoidEval GeographicLib::Gravity GeographicLib::MagneticField GeographicLib::Planimeter GeographicLib::RhumbSolve GeographicLib::TransverseMercatorProj) - list(APPEND _expectedTargets ${_expectedTarget}) - if(NOT TARGET ${_expectedTarget}) - list(APPEND _targetsNotDefined ${_expectedTarget}) - endif() - if(TARGET ${_expectedTarget}) - list(APPEND _targetsDefined ${_expectedTarget}) - endif() -endforeach() -if("${_targetsDefined}" STREQUAL "${_expectedTargets}") - unset(_targetsDefined) - unset(_targetsNotDefined) - unset(_expectedTargets) - set(CMAKE_IMPORT_FILE_VERSION) - cmake_policy(POP) - return() -endif() -if(NOT "${_targetsDefined}" STREQUAL "") - message(FATAL_ERROR "Some (but not all) targets in this export set were already defined.\nTargets Defined: ${_targetsDefined}\nTargets not yet defined: ${_targetsNotDefined}\n") -endif() -unset(_targetsDefined) -unset(_targetsNotDefined) -unset(_expectedTargets) - - -# Create imported target GeographicLib::GeographicLib_SHARED -add_library(GeographicLib::GeographicLib_SHARED SHARED IMPORTED) - -set_target_properties(GeographicLib::GeographicLib_SHARED PROPERTIES - INTERFACE_INCLUDE_DIRECTORIES "/home/valentin/src/GeographicLib-1.50.1/BUILD/include;/home/valentin/src/GeographicLib-1.50.1/include" -) - -# Create imported target GeographicLib::GeographicLib -add_library(GeographicLib::GeographicLib INTERFACE IMPORTED) - -set_target_properties(GeographicLib::GeographicLib PROPERTIES - INTERFACE_LINK_LIBRARIES "GeographicLib::GeographicLib_SHARED" -) - -# Create imported target GeographicLib::CartConvert -add_executable(GeographicLib::CartConvert IMPORTED) - -# Create imported target GeographicLib::ConicProj -add_executable(GeographicLib::ConicProj IMPORTED) - -# Create imported target GeographicLib::GeodesicProj -add_executable(GeographicLib::GeodesicProj IMPORTED) - -# Create imported target GeographicLib::GeoConvert -add_executable(GeographicLib::GeoConvert IMPORTED) - -# Create imported target GeographicLib::GeodSolve -add_executable(GeographicLib::GeodSolve IMPORTED) - -# Create imported target GeographicLib::GeoidEval -add_executable(GeographicLib::GeoidEval IMPORTED) - -# Create imported target GeographicLib::Gravity -add_executable(GeographicLib::Gravity IMPORTED) - -# Create imported target GeographicLib::MagneticField -add_executable(GeographicLib::MagneticField IMPORTED) - -# Create imported target GeographicLib::Planimeter -add_executable(GeographicLib::Planimeter IMPORTED) - -# Create imported target GeographicLib::RhumbSolve -add_executable(GeographicLib::RhumbSolve IMPORTED) - -# Create imported target GeographicLib::TransverseMercatorProj -add_executable(GeographicLib::TransverseMercatorProj IMPORTED) - -# Import target "GeographicLib::GeographicLib_SHARED" for configuration "Release" -set_property(TARGET GeographicLib::GeographicLib_SHARED APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::GeographicLib_SHARED PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/src/libGeographic.so.19.0.1" - IMPORTED_SONAME_RELEASE "libGeographic.so.19" - ) - -# Import target "GeographicLib::CartConvert" for configuration "Release" -set_property(TARGET GeographicLib::CartConvert APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::CartConvert PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/CartConvert" - ) - -# Import target "GeographicLib::ConicProj" for configuration "Release" -set_property(TARGET GeographicLib::ConicProj APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::ConicProj PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/ConicProj" - ) - -# Import target "GeographicLib::GeodesicProj" for configuration "Release" -set_property(TARGET GeographicLib::GeodesicProj APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::GeodesicProj PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeodesicProj" - ) - -# Import target "GeographicLib::GeoConvert" for configuration "Release" -set_property(TARGET GeographicLib::GeoConvert APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::GeoConvert PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeoConvert" - ) - -# Import target "GeographicLib::GeodSolve" for configuration "Release" -set_property(TARGET GeographicLib::GeodSolve APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::GeodSolve PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeodSolve" - ) - -# Import target "GeographicLib::GeoidEval" for configuration "Release" -set_property(TARGET GeographicLib::GeoidEval APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::GeoidEval PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeoidEval" - ) - -# Import target "GeographicLib::Gravity" for configuration "Release" -set_property(TARGET GeographicLib::Gravity APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::Gravity PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/Gravity" - ) - -# Import target "GeographicLib::MagneticField" for configuration "Release" -set_property(TARGET GeographicLib::MagneticField APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::MagneticField PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/MagneticField" - ) - -# Import target "GeographicLib::Planimeter" for configuration "Release" -set_property(TARGET GeographicLib::Planimeter APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::Planimeter PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/Planimeter" - ) - -# Import target "GeographicLib::RhumbSolve" for configuration "Release" -set_property(TARGET GeographicLib::RhumbSolve APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::RhumbSolve PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/RhumbSolve" - ) - -# Import target "GeographicLib::TransverseMercatorProj" for configuration "Release" -set_property(TARGET GeographicLib::TransverseMercatorProj APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib::TransverseMercatorProj PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/TransverseMercatorProj" - ) - -# This file does not depend on other imported targets which have -# been exported from the same project but in a separate export set. - -# Commands beyond this point should not need to know the version. -set(CMAKE_IMPORT_FILE_VERSION) -cmake_policy(POP) diff --git a/libs/GeographicLib-1.50.1/BUILD/geographiclib-targets.cmake b/libs/GeographicLib-1.50.1/BUILD/geographiclib-targets.cmake deleted file mode 100644 index bf1ede5901e3d6ce835224df13b53976f1911675..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/geographiclib-targets.cmake +++ /dev/null @@ -1,173 +0,0 @@ -# Generated by CMake - -if("${CMAKE_MAJOR_VERSION}.${CMAKE_MINOR_VERSION}" LESS 2.5) - message(FATAL_ERROR "CMake >= 2.6.0 required") -endif() -cmake_policy(PUSH) -cmake_policy(VERSION 2.6) -#---------------------------------------------------------------- -# Generated CMake target import file. -#---------------------------------------------------------------- - -# Commands may need to know the format version. -set(CMAKE_IMPORT_FILE_VERSION 1) - -if(CMAKE_VERSION VERSION_LESS 3.0.0) - message(FATAL_ERROR "This file relies on consumers using CMake 3.0.0 or greater.") -endif() - -# Protect against multiple inclusion, which would fail when already imported targets are added once more. -set(_targetsDefined) -set(_targetsNotDefined) -set(_expectedTargets) -foreach(_expectedTarget GeographicLib_SHARED GeographicLib CartConvert ConicProj GeodesicProj GeoConvert GeodSolve GeoidEval Gravity MagneticField Planimeter RhumbSolve TransverseMercatorProj) - list(APPEND _expectedTargets ${_expectedTarget}) - if(NOT TARGET ${_expectedTarget}) - list(APPEND _targetsNotDefined ${_expectedTarget}) - endif() - if(TARGET ${_expectedTarget}) - list(APPEND _targetsDefined ${_expectedTarget}) - endif() -endforeach() -if("${_targetsDefined}" STREQUAL "${_expectedTargets}") - unset(_targetsDefined) - unset(_targetsNotDefined) - unset(_expectedTargets) - set(CMAKE_IMPORT_FILE_VERSION) - cmake_policy(POP) - return() -endif() -if(NOT "${_targetsDefined}" STREQUAL "") - message(FATAL_ERROR "Some (but not all) targets in this export set were already defined.\nTargets Defined: ${_targetsDefined}\nTargets not yet defined: ${_targetsNotDefined}\n") -endif() -unset(_targetsDefined) -unset(_targetsNotDefined) -unset(_expectedTargets) - - -# Create imported target GeographicLib_SHARED -add_library(GeographicLib_SHARED SHARED IMPORTED) - -set_target_properties(GeographicLib_SHARED PROPERTIES - INTERFACE_INCLUDE_DIRECTORIES "/home/valentin/src/GeographicLib-1.50.1/BUILD/include;/home/valentin/src/GeographicLib-1.50.1/include" -) - -# Create imported target GeographicLib -add_library(GeographicLib INTERFACE IMPORTED) - -set_target_properties(GeographicLib PROPERTIES - INTERFACE_LINK_LIBRARIES "GeographicLib_SHARED" -) - -# Create imported target CartConvert -add_executable(CartConvert IMPORTED) - -# Create imported target ConicProj -add_executable(ConicProj IMPORTED) - -# Create imported target GeodesicProj -add_executable(GeodesicProj IMPORTED) - -# Create imported target GeoConvert -add_executable(GeoConvert IMPORTED) - -# Create imported target GeodSolve -add_executable(GeodSolve IMPORTED) - -# Create imported target GeoidEval -add_executable(GeoidEval IMPORTED) - -# Create imported target Gravity -add_executable(Gravity IMPORTED) - -# Create imported target MagneticField -add_executable(MagneticField IMPORTED) - -# Create imported target Planimeter -add_executable(Planimeter IMPORTED) - -# Create imported target RhumbSolve -add_executable(RhumbSolve IMPORTED) - -# Create imported target TransverseMercatorProj -add_executable(TransverseMercatorProj IMPORTED) - -# Import target "GeographicLib_SHARED" for configuration "Release" -set_property(TARGET GeographicLib_SHARED APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeographicLib_SHARED PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/src/libGeographic.so.19.0.1" - IMPORTED_SONAME_RELEASE "libGeographic.so.19" - ) - -# Import target "CartConvert" for configuration "Release" -set_property(TARGET CartConvert APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(CartConvert PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/CartConvert" - ) - -# Import target "ConicProj" for configuration "Release" -set_property(TARGET ConicProj APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(ConicProj PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/ConicProj" - ) - -# Import target "GeodesicProj" for configuration "Release" -set_property(TARGET GeodesicProj APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeodesicProj PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeodesicProj" - ) - -# Import target "GeoConvert" for configuration "Release" -set_property(TARGET GeoConvert APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeoConvert PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeoConvert" - ) - -# Import target "GeodSolve" for configuration "Release" -set_property(TARGET GeodSolve APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeodSolve PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeodSolve" - ) - -# Import target "GeoidEval" for configuration "Release" -set_property(TARGET GeoidEval APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(GeoidEval PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/GeoidEval" - ) - -# Import target "Gravity" for configuration "Release" -set_property(TARGET Gravity APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(Gravity PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/Gravity" - ) - -# Import target "MagneticField" for configuration "Release" -set_property(TARGET MagneticField APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(MagneticField PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/MagneticField" - ) - -# Import target "Planimeter" for configuration "Release" -set_property(TARGET Planimeter APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(Planimeter PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/Planimeter" - ) - -# Import target "RhumbSolve" for configuration "Release" -set_property(TARGET RhumbSolve APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(RhumbSolve PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/RhumbSolve" - ) - -# Import target "TransverseMercatorProj" for configuration "Release" -set_property(TARGET TransverseMercatorProj APPEND PROPERTY IMPORTED_CONFIGURATIONS RELEASE) -set_target_properties(TransverseMercatorProj PROPERTIES - IMPORTED_LOCATION_RELEASE "/home/valentin/src/GeographicLib-1.50.1/BUILD/tools/TransverseMercatorProj" - ) - -# This file does not depend on other imported targets which have -# been exported from the same project but in a separate export set. - -# Commands beyond this point should not need to know the version. -set(CMAKE_IMPORT_FILE_VERSION) -cmake_policy(POP) diff --git a/libs/GeographicLib-1.50.1/BUILD/include/GeographicLib/Config.h b/libs/GeographicLib-1.50.1/BUILD/include/GeographicLib/Config.h deleted file mode 100644 index 135ad35f26cb61ce8e740d82ac64832d4550df05..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/include/GeographicLib/Config.h +++ /dev/null @@ -1,25 +0,0 @@ -#define GEOGRAPHICLIB_VERSION_STRING "1.50.1" -#define GEOGRAPHICLIB_VERSION_MAJOR 1 -#define GEOGRAPHICLIB_VERSION_MINOR 50 -#define GEOGRAPHICLIB_VERSION_PATCH 1 -#define GEOGRAPHICLIB_DATA "/usr/local/share/GeographicLib" - -// These are macros which affect the building of the library -#define GEOGRAPHICLIB_HAVE_LONG_DOUBLE 1 -#define GEOGRAPHICLIB_WORDS_BIGENDIAN 0 -#define GEOGRAPHICLIB_PRECISION 2 - -// Specify whether GeographicLib is a shared or static library. 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"/home/valentin/src/GeographicLib-1.50.1/js/src/Geodesic.js" - "/home/valentin/src/GeographicLib-1.50.1/js/src/GeodesicLine.js" - "/home/valentin/src/GeographicLib-1.50.1/js/src/PolygonArea.js" - "/home/valentin/src/GeographicLib-1.50.1/js/src/DMS.js" - ) -endif() - -if("x${CMAKE_INSTALL_COMPONENT}x" STREQUAL "xUnspecifiedx" OR NOT CMAKE_INSTALL_COMPONENT) - file(INSTALL DESTINATION "${CMAKE_INSTALL_PREFIX}/lib/node_modules/geographiclib/test" TYPE FILE FILES "/home/valentin/src/GeographicLib-1.50.1/js/test/geodesictest.js") -endif() - diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geod-calc.html b/libs/GeographicLib-1.50.1/BUILD/js/geod-calc.html deleted file mode 100644 index dacce1efcb2b8a762523fee84bf61af6fcadadb0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geod-calc.html +++ /dev/null @@ -1,593 +0,0 @@ - - - - Geodesic calculations for an ellipsoid done right - - - - - - - - - -
-

Geodesic calculations for an ellipsoid done right

-
-

- This page illustrates the geodesic routines available in - JavaScript package - - geographiclib, the geodesic routines in GeographicLib - ( - documentation). - The algorithms are considerably more accurate than Vincenty's - method, and offer more functionality (an inverse method which - never fails to converge, differential properties of the geodesic, - and the area under a geodesic). The algorithms are derived in -

- Charles F. F. Karney,
- - Algorithms for geodesics,
- J. Geodesy 87(1), 43–55 (Jan. 2013);
- DOI: - - 10.1007/s00190-012-0578-z - (pdf); - addenda: - - geod-addenda.html. -
- This page just provides a basic interface. Enter latitudes, - longitudes, and azimuths as degrees and distances as meters using - spaces or commas as separators. (Angles may be entered as decimal - degrees or as degrees, minutes, and seconds, e.g. -20.51125, - 20°30′40.5″S, S20d30'40.5", or - -20:30:40.5.) The results are accurate to about - 15 nanometers (or 0.1 m2 per vertex for - areas). A slicker page where the geodesics are incorporated into - Google Maps is given here. Basic - online tools which provide similar capabilities are - - GeodSolve - and - - Planimeter; - these call a C++ backend. This page uses version - - of the geodesic code. -

- Jump to: -

-

-
-
-

Inverse problem

-

- Find the shortest path between two points on the earth. The - path is characterized by its length s12 and its azimuth - at the two ends azi1 and azi2. See - - GeodSolve(1) - for the definition of the - quantities a12, m12, M12, M21, - and S12. The sample calculation finds the shortest path - between Wellington, New Zealand, and Salamanca, Spain. To - perform the calculation, press the “COMPUTE” button. -

-

Enter “lat1 lon1 lat2 lon2”:

-

input: - -

-

- Output format:    -
- Output precision:   -

-

- -

-

- status: - -

-

- lat1 lon1 azi1: - -

-

- lat2 lon2 azi2: - -

-

- s12: - -

-

- a12: - -

-

- m12: - -

-

- M12 M21: - -

-

- S12: - -

-
-
-
-

Direct problem

-

- Find the destination traveling a given distance along a geodesic - with a given azimuth at the starting point. The destination is - characterized by its position lat2, lon2 and its azimuth - at the destination azi2. See - - GeodSolve(1) - for the definition of the - quantities a12, m12, M12, M21, - and S12. The sample calculation shows the result of - travelling 10000 km NE from JFK airport. To perform the - calculation, press the “COMPUTE” button. -

-

Enter “lat1 lon1 azi1 s12”:

-

input: - -

-

- Output format:    -
- Output precision:   -

-

- -

-

- status: - -

-

- lat1 lon1 azi1: - -

-

- lat2 lon2 azi2: - -

-

- s12: - -

-

- a12: - -

-

- m12: - -

-

- M12 M21: - -

-

- S12: - -

-
-
-
-

Geodesic path

-

- Find intermediate points along a geodesic. In addition to - specifying the endpoints, give ds12, the maximum distance - between the intermediate points and maxk, the maximum - number of intervals the geodesic is broken into. The output - gives a sequence of positions lat, lon together with the - corresponding azimuths azi. The sample shows the path - from JFK to Singapore's Changi Airport at about 1000 km - intervals. (In this example, the path taken by Google Earth - deviates from the shortest path by about 2.9 km.) To perform - the calculation, press the “COMPUTE” button. -

-

Enter “lat1 lon1 lat2 lon2 ds12 maxk”:

-

input: - -

-

- Output format:    -
- Output precision:   -

-

- -

-

- status: - -

-

- points (lat lon azi):
- -

- -
-
-

Polygon area

-

- Find the perimeter and area of a polygon whose sides are - geodesics. The polygon must be simple (i.e., must not intersect - itself). (There's no need to ensure that the polygon is - closed.) Counter-clockwise traversal of the polygon results in - a positive area. The polygon can encircle one or both poles. - The sample gives the approximate perimeter (in m) and area (in - m2) of Antarctica. (For this example, Google Earth - Pro returns an area which is 30 times too large! However this - is a little unfair, since Google Earth has no concept of - polygons which encircle a pole.) If the polyline option - is selected then just the length of the line joining the points - is returned. To perform the calculation, press the - “COMPUTE” button. -

-

Enter points, one per line, as “lat lon”:

-

points (lat lon):
- -

-

- Treat points as:    - -

-

- -

-

- status: - -

-

- number perimeter area: - -

- -
-
Charles Karney - <charles@karney.com> - (2015-08-12)
-
- - Geographiclib Sourceforge - - diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geod-google-instructions.html b/libs/GeographicLib-1.50.1/BUILD/js/geod-google-instructions.html deleted file mode 100644 index 2e30d5a5d3f95e602aeb8af61fe2b3ec95e1673e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geod-google-instructions.html +++ /dev/null @@ -1,127 +0,0 @@ - - - - - Geodesic lines, circles, envelopes in Google Maps (instructions) - - - - - - - -

- Geodesic lines, circles, envelopes in Google Maps (instructions) -

-

- The page allows you to draw - accurate ellipsoidal geodesics on Google Maps. You can specify the - geodesic in one of two forms: -

    -
  • - The direct problem: specify a starting point, an - azimuth and a distance as lat1 lon1 azi1 s12 as degrees - and meters. -
  • - The inverse problem: specify the two end points - as lat1 lon1 lat2 lon2 as degrees; this finds the - shortest path between the two points. -
- (Angles may be entered as decimal degrees or as degrees, minutes, - and seconds, e.g. -20.51125, 20°30′40.5″S, - S20d30'40.5", or -20:30:40.5.) Click on the - corresponding "compute" button. The display then shows -
    -
  • The requested geodesic as a blue - line; the WGS84 ellipsoid model is used. -
  • The geodesic circle as a green - curve; this shows the locus of points a - distance s12 from lat1, lon1. -
  • The geodesic envelopes as red - curves; all the geodesics emanating from lat1, - lon1 are tangent to the envelopes (providing they are - extended far enough). The number of solutions to the inverse - problem changes depending on whether lat2, lon2 lies - inside the envelopes. For example, there are four (resp. two) - approximately hemispheroidal geodesics if this point lies - inside (resp. outside) the inner envelope (only one of which - is a shortest path). -
-

-

- The sample data has lat1, lon1 in Wellington, New - Zealand, lat2, lon2 in Salamanca, Spain, and s12 - about 1.5 times the earth's circumference. Try clicking on the - "compute" button next to the "Direct:" input box when the page - first loads. You can navigate around the map using the normal - Google Map controls. -

-

- The precision of output for the geodesic is 0.1" or 1 m. - A text-only geodesic calculator based - on the same JavaScript library is also available; this calculator - solves the inverse and direct geodesic problems, computes - intermediate points on a geodesic, and finds the area of a - geodesic polygon; it allows you to specify the precision of the - output and choose between decimal degrees and degrees, minutes, - and seconds. Basic online tools which provide similar capabilities - are - - GeodSolve - and - - Planimeter; - these call a C++ backend. -

-

- The JavaScript code for computing the geodesic lines, circles, and - envelopes available in the JavaScript package - - geographiclib, the geodesic routines in GeographicLib - ( - documentation). The algorithms are derived in -

- Charles F. F. Karney,
- - Algorithms for geodesics,
- J. Geodesy 87(1), 43–55 (Jan. 2013);
- DOI: - - 10.1007/s00190-012-0578-z - (pdf);
- addenda: - - geod-addenda.html. -
- In putting together this Google Maps demonstration, I started with - the sample code - - geometry-headings. -

-
-
Charles Karney - <charles@karney.com> - (2011-08-02)
-
- - Geographiclib Sourceforge - - diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geod-google.html b/libs/GeographicLib-1.50.1/BUILD/js/geod-google.html deleted file mode 100644 index 94b30795262fb87f5eaf77bb0647354b7caca14a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geod-google.html +++ /dev/null @@ -1,340 +0,0 @@ - - - - - Geodesic lines, circles, envelopes in Google Maps - - - - - - - - - - - - -
-
-
-

-  Direct:   - - -

-

-  Inverse: - - -

-

-  lat1 lon1 azi1: -

-

-  lat2 lon2 azi2: -

-

-  s12: -    status: -    - INSTRUCTIONS - (v) -

-
- - diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib.js deleted file mode 100644 index b69c60dad5a329957890e9d153d5805b8bb62ae3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib.js +++ /dev/null @@ -1,3111 +0,0 @@ -/* - * Geodesic routines from GeographicLib translated to JavaScript. See - * https://geographiclib.sourceforge.io/html/js/ - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013), - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * This file is the concatenation and compression of the JavaScript files in - * doc/scripts/GeographicLib in the source tree for GeographicLib. - * - * Copyright (c) Charles Karney (2011-2015) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - * - * Version: 1.50 - * File inventory: - * Math.js Geodesic.js GeodesicLine.js PolygonArea.js DMS.js - */ - -(function(cb) { - -/**************** Math.js ****************/ -/* - * Math.js - * Transcription of Math.hpp, Constants.hpp, and Accumulator.hpp into - * JavaScript. - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -/** - * @namespace GeographicLib - * @description The parent namespace for the following modules: - * - {@link module:GeographicLib/Geodesic GeographicLib/Geodesic} The main - * engine for solving geodesic problems via the - * {@link module:GeographicLib/Geodesic.Geodesic Geodesic} class. - * - {@link module:GeographicLib/GeodesicLine GeographicLib/GeodesicLine} - * computes points along a single geodesic line via the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} - * class. - * - {@link module:GeographicLib/PolygonArea GeographicLib/PolygonArea} - * computes the area of a geodesic polygon via the - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} - * class. - * - {@link module:GeographicLib/DMS GeographicLib/DMS} handles the decoding - * and encoding of angles in degree, minutes, and seconds, via static - * functions in this module. - * - {@link module:GeographicLib/Constants GeographicLib/Constants} defines - * constants specifying the version numbers and the parameters for the WGS84 - * ellipsoid. - * - * The following modules are used internally by the package: - * - {@link module:GeographicLib/Math GeographicLib/Math} defines various - * mathematical functions. - * - {@link module:GeographicLib/Accumulator GeographicLib/Accumulator} - * interally used by - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} (via the - * {@link module:GeographicLib/Accumulator.Accumulator Accumulator} class) - * for summing the contributions to the area of a polygon. - */ -"use strict"; -var GeographicLib = {}; -GeographicLib.Constants = {}; -GeographicLib.Math = {}; -GeographicLib.Accumulator = {}; - -(function( - /** - * @exports GeographicLib/Constants - * @description Define constants defining the version and WGS84 parameters. - */ - c) { - - /** - * @constant - * @summary WGS84 parameters. - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - */ - c.WGS84 = { a: 6378137, f: 1/298.257223563 }; - /** - * @constant - * @summary an array of version numbers. - * @property {number} major the major version number. - * @property {number} minor the minor version number. - * @property {number} patch the patch number. - */ - c.version = { major: 1, minor: 50, patch: 0 }; - /** - * @constant - * @summary version string - */ - c.version_string = "1.50"; -})(GeographicLib.Constants); - -(function( - /** - * @exports GeographicLib/Math - * @description Some useful mathematical constants and functions (mainly for - * internal use). - */ - m) { - - /** - * @summary The number of digits of precision in floating-point numbers. - * @constant {number} - */ - m.digits = 53; - /** - * @summary The machine epsilon. - * @constant {number} - */ - m.epsilon = Math.pow(0.5, m.digits - 1); - /** - * @summary The factor to convert degrees to radians. - * @constant {number} - */ - m.degree = Math.PI/180; - - /** - * @summary Square a number. - * @param {number} x the number. - * @returns {number} the square. - */ - m.sq = function(x) { return x * x; }; - - /** - * @summary The hypotenuse function. - * @param {number} x the first side. - * @param {number} y the second side. - * @returns {number} the hypotenuse. - */ - m.hypot = Math.hypot || function(x, y) { - var a, b; - x = Math.abs(x); - y = Math.abs(y); - a = Math.max(x, y); b = Math.min(x, y) / (a ? a : 1); - return a * Math.sqrt(1 + b * b); - }; - - /** - * @summary Cube root function. - * @param {number} x the argument. - * @returns {number} the real cube root. - */ - m.cbrt = Math.cbrt || function(x) { - var y = Math.pow(Math.abs(x), 1/3); - return x > 0 ? y : (x < 0 ? -y : x); - }; - - /** - * @summary The log1p function. - * @param {number} x the argument. - * @returns {number} log(1 + x). - */ - m.log1p = Math.log1p || function(x) { - var y = 1 + x, - z = y - 1; - // Here's the explanation for this magic: y = 1 + z, exactly, and z - // approx x, thus log(y)/z (which is nearly constant near z = 0) returns - // a good approximation to the true log(1 + x)/x. The multiplication x * - // (log(y)/z) introduces little additional error. - return z === 0 ? x : x * Math.log(y) / z; - }; - - /** - * @summary Inverse hyperbolic tangent. - * @param {number} x the argument. - * @returns {number} tanh−1 x. - */ - m.atanh = Math.atanh || function(x) { - var y = Math.abs(x); // Enforce odd parity - y = m.log1p(2 * y/(1 - y))/2; - return x > 0 ? y : (x < 0 ? -y : x); - }; - - /** - * @summary Copy the sign. - * @param {number} x gives the magitude of the result. - * @param {number} y gives the sign of the result. - * @returns {number} value with the magnitude of x and with the sign of y. - */ - m.copysign = function(x, y) { - return Math.abs(x) * (y < 0 || (y === 0 && 1/y < 0) ? -1 : 1); - }; - - /** - * @summary An error-free sum. - * @param {number} u - * @param {number} v - * @returns {object} sum with sum.s = round(u + v) and sum.t is u + v − - * round(u + v) - */ - m.sum = function(u, v) { - var s = u + v, - up = s - v, - vpp = s - up, - t; - up -= u; - vpp -= v; - t = -(up + vpp); - // u + v = s + t - // = round(u + v) + t - return {s: s, t: t}; - }; - - /** - * @summary Evaluate a polynomial. - * @param {integer} N the order of the polynomial. - * @param {array} p the coefficient array (of size N + 1) (leading - * order coefficient first) - * @param {number} x the variable. - * @returns {number} the value of the polynomial. - */ - m.polyval = function(N, p, s, x) { - var y = N < 0 ? 0 : p[s++]; - while (--N >= 0) y = y * x + p[s++]; - return y; - }; - - /** - * @summary Coarsen a value close to zero. - * @param {number} x - * @returns {number} the coarsened value. - */ - m.AngRound = function(x) { - // The makes the smallest gap in x = 1/16 - nextafter(1/16, 0) = 1/2^57 for - // reals = 0.7 pm on the earth if x is an angle in degrees. (This is about - // 1000 times more resolution than we get with angles around 90 degrees.) - // We use this to avoid having to deal with near singular cases when x is - // non-zero but tiny (e.g., 1.0e-200). This converts -0 to +0; however - // tiny negative numbers get converted to -0. - if (x === 0) return x; - var z = 1/16, - y = Math.abs(x); - // The compiler mustn't "simplify" z - (z - y) to y - y = y < z ? z - (z - y) : y; - return x < 0 ? -y : y; - }; - - /** - * @summary The remainder function. - * @param {number} x the numerator of the division - * @param {number} y the denominator of the division - * @return {number} the remainder in the range [−y/2, y/2]. - *

- * The range of x is unrestricted; y must be positive. - */ - m.remainder = function(x, y) { - x = x % y; - return x < -y/2 ? x + y : (x < y/2 ? x : x - y); - }; - - /** - * @summary Normalize an angle. - * @param {number} x the angle in degrees. - * @returns {number} the angle reduced to the range (−180°, - * 180°]. - */ - m.AngNormalize = function(x) { - // Place angle in (-180, 180]. - x = m.remainder(x, 360); - return x == -180 ? 180 : x; - }; - - /** - * @summary Normalize a latitude. - * @param {number} x the angle in degrees. - * @returns {number} x if it is in the range [−90°, 90°], - * otherwise return NaN. - */ - m.LatFix = function(x) { - // Replace angle with NaN if outside [-90, 90]. - return Math.abs(x) > 90 ? Number.NaN : x; - }; - - /** - * @summary The exact difference of two angles reduced to (−180°, - * 180°] - * @param {number} x the first angle in degrees. - * @param {number} y the second angle in degrees. - * @return {object} diff the exact difference, y − x. - * - * This computes z = y − x exactly, reduced to (−180°, - * 180°]; and then sets diff.s = d = round(z) and diff.t = e = z − - * round(z). If d = −180, then e > 0; If d = 180, then e ≤ 0. - */ - m.AngDiff = function(x, y) { - // Compute y - x and reduce to [-180,180] accurately. - var r = m.sum(m.AngNormalize(-x), m.AngNormalize(y)), - d = m.AngNormalize(r.s), - t = r.t; - return m.sum(d === 180 && t > 0 ? -180 : d, t); - }; - - /** - * @summary Evaluate the sine and cosine function with the argument in - * degrees - * @param {number} x in degrees. - * @returns {object} r with r.s = sin(x) and r.c = cos(x). - */ - m.sincosd = function(x) { - // In order to minimize round-off errors, this function exactly reduces - // the argument to the range [-45, 45] before converting it to radians. - var r, q, s, c, sinx, cosx; - r = x % 360; - q = 0 + Math.round(r / 90); // If r is NaN this returns NaN - r -= 90 * q; - // now abs(r) <= 45 - r *= this.degree; - // Possibly could call the gnu extension sincos - s = Math.sin(r); c = Math.cos(r); - switch (q & 3) { - case 0: sinx = s; cosx = c; break; - case 1: sinx = c; cosx = -s; break; - case 2: sinx = -s; cosx = -c; break; - default: sinx = -c; cosx = s; break; // case 3 - } - if (x !== 0) { sinx += 0; cosx += 0; } - return {s: sinx, c: cosx}; - }; - - /** - * @summary Evaluate the atan2 function with the result in degrees - * @param {number} y - * @param {number} x - * @returns atan2(y, x) in degrees, in the range (−180° - * 180°]. - */ - m.atan2d = function(y, x) { - // In order to minimize round-off errors, this function rearranges the - // arguments so that result of atan2 is in the range [-pi/4, pi/4] before - // converting it to degrees and mapping the result to the correct - // quadrant. - var q = 0, t, ang; - if (Math.abs(y) > Math.abs(x)) { t = x; x = y; y = t; q = 2; } - if (x < 0) { x = -x; ++q; } - // here x >= 0 and x >= abs(y), so angle is in [-pi/4, pi/4] - ang = Math.atan2(y, x) / this.degree; - switch (q) { - // Note that atan2d(-0.0, 1.0) will return -0. However, we expect that - // atan2d will not be called with y = -0. If need be, include - // - // case 0: ang = 0 + ang; break; - // - // and handle mpfr as in AngRound. - case 1: ang = (y >= 0 ? 180 : -180) - ang; break; - case 2: ang = 90 - ang; break; - case 3: ang = -90 + ang; break; - } - return ang; - }; -})(GeographicLib.Math); - -(function( - /** - * @exports GeographicLib/Accumulator - * @description Accurate summation via the - * {@link module:GeographicLib/Accumulator.Accumulator Accumulator} class - * (mainly for internal use). - */ - a, m) { - - /** - * @class - * @summary Accurate summation of many numbers. - * @classdesc This allows many numbers to be added together with twice the - * normal precision. In the documentation of the member functions, sum - * stands for the value currently held in the accumulator. - * @param {number | Accumulator} [y = 0] set sum = y. - */ - a.Accumulator = function(y) { - this.Set(y); - }; - - /** - * @summary Set the accumulator to a number. - * @param {number | Accumulator} [y = 0] set sum = y. - */ - a.Accumulator.prototype.Set = function(y) { - if (!y) y = 0; - if (y.constructor === a.Accumulator) { - this._s = y._s; - this._t = y._t; - } else { - this._s = y; - this._t = 0; - } - }; - - /** - * @summary Add a number to the accumulator. - * @param {number} [y = 0] set sum += y. - */ - a.Accumulator.prototype.Add = function(y) { - // Here's Shewchuk's solution... - // Accumulate starting at least significant end - var u = m.sum(y, this._t), - v = m.sum(u.s, this._s); - u = u.t; - this._s = v.s; - this._t = v.t; - // Start is _s, _t decreasing and non-adjacent. Sum is now (s + t + u) - // exactly with s, t, u non-adjacent and in decreasing order (except - // for possible zeros). The following code tries to normalize the - // result. Ideally, we want _s = round(s+t+u) and _u = round(s+t+u - - // _s). The follow does an approximate job (and maintains the - // decreasing non-adjacent property). Here are two "failures" using - // 3-bit floats: - // - // Case 1: _s is not equal to round(s+t+u) -- off by 1 ulp - // [12, -1] - 8 -> [4, 0, -1] -> [4, -1] = 3 should be [3, 0] = 3 - // - // Case 2: _s+_t is not as close to s+t+u as it shold be - // [64, 5] + 4 -> [64, 8, 1] -> [64, 8] = 72 (off by 1) - // should be [80, -7] = 73 (exact) - // - // "Fixing" these problems is probably not worth the expense. The - // representation inevitably leads to small errors in the accumulated - // values. The additional errors illustrated here amount to 1 ulp of - // the less significant word during each addition to the Accumulator - // and an additional possible error of 1 ulp in the reported sum. - // - // Incidentally, the "ideal" representation described above is not - // canonical, because _s = round(_s + _t) may not be true. For - // example, with 3-bit floats: - // - // [128, 16] + 1 -> [160, -16] -- 160 = round(145). - // But [160, 0] - 16 -> [128, 16] -- 128 = round(144). - // - if (this._s === 0) // This implies t == 0, - this._s = u; // so result is u - else - this._t += u; // otherwise just accumulate u to t. - }; - - /** - * @summary Return the result of adding a number to sum (but - * don't change sum). - * @param {number} [y = 0] the number to be added to the sum. - * @return sum + y. - */ - a.Accumulator.prototype.Sum = function(y) { - var b; - if (!y) - return this._s; - else { - b = new a.Accumulator(this); - b.Add(y); - return b._s; - } - }; - - /** - * @summary Set sum = −sum. - */ - a.Accumulator.prototype.Negate = function() { - this._s *= -1; - this._t *= -1; - }; - - /** - * @summary Take the remainder - * @param {number} y the divisor of the remainder operation. - * @return sum in range [−y/2, y/2]. - */ - a.Accumulator.prototype.Remainder = function(y) { - this._s = m.remainder(this._s, y); - this.Add(0); - }; -})(GeographicLib.Accumulator, GeographicLib.Math); - -/**************** Geodesic.js ****************/ -/* - * Geodesic.js - * Transcription of Geodesic.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2017) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER Math.js - -GeographicLib.Geodesic = {}; -GeographicLib.GeodesicLine = {}; -GeographicLib.PolygonArea = {}; - -(function( - /** - * @exports GeographicLib/Geodesic - * @description Solve geodesic problems via the - * {@link module:GeographicLib/Geodesic.Geodesic Geodesic} class. - */ - g, l, p, m, c) { - - var GEOGRAPHICLIB_GEODESIC_ORDER = 6, - nA1_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA2_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA3_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA3x_ = nA3_, - nC3x_, nC4x_, - maxit1_ = 20, - maxit2_ = maxit1_ + m.digits + 10, - tol0_ = m.epsilon, - tol1_ = 200 * tol0_, - tol2_ = Math.sqrt(tol0_), - tolb_ = tol0_ * tol1_, - xthresh_ = 1000 * tol2_, - CAP_NONE = 0, - CAP_ALL = 0x1F, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80, - astroid, - A1m1f_coeff, C1f_coeff, C1pf_coeff, - A2m1f_coeff, C2f_coeff, - A3_coeff, C3_coeff, C4_coeff; - - g.tiny_ = Math.sqrt(Number.MIN_VALUE); - g.nC1_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC1p_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC2_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC3_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC4_ = GEOGRAPHICLIB_GEODESIC_ORDER; - nC3x_ = (g.nC3_ * (g.nC3_ - 1)) / 2; - nC4x_ = (g.nC4_ * (g.nC4_ + 1)) / 2; - g.CAP_C1 = 1<<0; - g.CAP_C1p = 1<<1; - g.CAP_C2 = 1<<2; - g.CAP_C3 = 1<<3; - g.CAP_C4 = 1<<4; - - g.NONE = 0; - g.ARC = 1<<6; - g.LATITUDE = 1<<7 | CAP_NONE; - g.LONGITUDE = 1<<8 | g.CAP_C3; - g.AZIMUTH = 1<<9 | CAP_NONE; - g.DISTANCE = 1<<10 | g.CAP_C1; - g.STANDARD = g.LATITUDE | g.LONGITUDE | g.AZIMUTH | g.DISTANCE; - g.DISTANCE_IN = 1<<11 | g.CAP_C1 | g.CAP_C1p; - g.REDUCEDLENGTH = 1<<12 | g.CAP_C1 | g.CAP_C2; - g.GEODESICSCALE = 1<<13 | g.CAP_C1 | g.CAP_C2; - g.AREA = 1<<14 | g.CAP_C4; - g.ALL = OUT_ALL| CAP_ALL; - g.LONG_UNROLL = 1<<15; - g.OUT_MASK = OUT_ALL| g.LONG_UNROLL; - - g.SinCosSeries = function(sinp, sinx, cosx, c) { - // Evaluate - // y = sinp ? sum(c[i] * sin( 2*i * x), i, 1, n) : - // sum(c[i] * cos((2*i+1) * x), i, 0, n-1) - // using Clenshaw summation. N.B. c[0] is unused for sin series - // Approx operation count = (n + 5) mult and (2 * n + 2) add - var k = c.length, // Point to one beyond last element - n = k - (sinp ? 1 : 0), - ar = 2 * (cosx - sinx) * (cosx + sinx), // 2 * cos(2 * x) - y0 = n & 1 ? c[--k] : 0, y1 = 0; // accumulators for sum - // Now n is even - n = Math.floor(n/2); - while (n--) { - // Unroll loop x 2, so accumulators return to their original role - y1 = ar * y0 - y1 + c[--k]; - y0 = ar * y1 - y0 + c[--k]; - } - return (sinp ? 2 * sinx * cosx * y0 : // sin(2 * x) * y0 - cosx * (y0 - y1)); // cos(x) * (y0 - y1) - }; - - astroid = function(x, y) { - // Solve k^4+2*k^3-(x^2+y^2-1)*k^2-2*y^2*k-y^2 = 0 for positive - // root k. This solution is adapted from Geocentric::Reverse. - var k, - p = m.sq(x), - q = m.sq(y), - r = (p + q - 1) / 6, - S, r2, r3, disc, u, T3, T, ang, v, uv, w; - if ( !(q === 0 && r <= 0) ) { - // Avoid possible division by zero when r = 0 by multiplying - // equations for s and t by r^3 and r, resp. - S = p * q / 4; // S = r^3 * s - r2 = m.sq(r); - r3 = r * r2; - // The discriminant of the quadratic equation for T3. This is - // zero on the evolute curve p^(1/3)+q^(1/3) = 1 - disc = S * (S + 2 * r3); - u = r; - if (disc >= 0) { - T3 = S + r3; - // Pick the sign on the sqrt to maximize abs(T3). This - // minimizes loss of precision due to cancellation. The - // result is unchanged because of the way the T is used - // in definition of u. - T3 += T3 < 0 ? -Math.sqrt(disc) : Math.sqrt(disc); // T3 = (r * t)^3 - // N.B. cbrt always returns the real root. cbrt(-8) = -2. - T = m.cbrt(T3); // T = r * t - // T can be zero; but then r2 / T -> 0. - u += T + (T !== 0 ? r2 / T : 0); - } else { - // T is complex, but the way u is defined the result is real. - ang = Math.atan2(Math.sqrt(-disc), -(S + r3)); - // There are three possible cube roots. We choose the - // root which avoids cancellation. Note that disc < 0 - // implies that r < 0. - u += 2 * r * Math.cos(ang / 3); - } - v = Math.sqrt(m.sq(u) + q); // guaranteed positive - // Avoid loss of accuracy when u < 0. - uv = u < 0 ? q / (v - u) : u + v; // u+v, guaranteed positive - w = (uv - q) / (2 * v); // positive? - // Rearrange expression for k to avoid loss of accuracy due to - // subtraction. Division by 0 not possible because uv > 0, w >= 0. - k = uv / (Math.sqrt(uv + m.sq(w)) + w); // guaranteed positive - } else { // q == 0 && r <= 0 - // y = 0 with |x| <= 1. Handle this case directly. - // for y small, positive root is k = abs(y)/sqrt(1-x^2) - k = 0; - } - return k; - }; - - A1m1f_coeff = [ - // (1-eps)*A1-1, polynomial in eps2 of order 3 - +1, 4, 64, 0, 256 - ]; - - // The scale factor A1-1 = mean value of (d/dsigma)I1 - 1 - g.A1m1f = function(eps) { - var p = Math.floor(nA1_/2), - t = m.polyval(p, A1m1f_coeff, 0, m.sq(eps)) / A1m1f_coeff[p + 1]; - return (t + eps) / (1 - eps); - }; - - C1f_coeff = [ - // C1[1]/eps^1, polynomial in eps2 of order 2 - -1, 6, -16, 32, - // C1[2]/eps^2, polynomial in eps2 of order 2 - -9, 64, -128, 2048, - // C1[3]/eps^3, polynomial in eps2 of order 1 - +9, -16, 768, - // C1[4]/eps^4, polynomial in eps2 of order 1 - +3, -5, 512, - // C1[5]/eps^5, polynomial in eps2 of order 0 - -7, 1280, - // C1[6]/eps^6, polynomial in eps2 of order 0 - -7, 2048 - ]; - - // The coefficients C1[l] in the Fourier expansion of B1 - g.C1f = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC1_; ++l) { // l is index of C1p[l] - p = Math.floor((g.nC1_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C1f_coeff, o, eps2) / C1f_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - C1pf_coeff = [ - // C1p[1]/eps^1, polynomial in eps2 of order 2 - +205, -432, 768, 1536, - // C1p[2]/eps^2, polynomial in eps2 of order 2 - +4005, -4736, 3840, 12288, - // C1p[3]/eps^3, polynomial in eps2 of order 1 - -225, 116, 384, - // C1p[4]/eps^4, polynomial in eps2 of order 1 - -7173, 2695, 7680, - // C1p[5]/eps^5, polynomial in eps2 of order 0 - +3467, 7680, - // C1p[6]/eps^6, polynomial in eps2 of order 0 - +38081, 61440 - ]; - - // The coefficients C1p[l] in the Fourier expansion of B1p - g.C1pf = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC1p_; ++l) { // l is index of C1p[l] - p = Math.floor((g.nC1p_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C1pf_coeff, o, eps2) / C1pf_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - A2m1f_coeff = [ - // (eps+1)*A2-1, polynomial in eps2 of order 3 - -11, -28, -192, 0, 256 - ]; - - // The scale factor A2-1 = mean value of (d/dsigma)I2 - 1 - g.A2m1f = function(eps) { - var p = Math.floor(nA2_/2), - t = m.polyval(p, A2m1f_coeff, 0, m.sq(eps)) / A2m1f_coeff[p + 1]; - return (t - eps) / (1 + eps); - }; - - C2f_coeff = [ - // C2[1]/eps^1, polynomial in eps2 of order 2 - +1, 2, 16, 32, - // C2[2]/eps^2, polynomial in eps2 of order 2 - +35, 64, 384, 2048, - // C2[3]/eps^3, polynomial in eps2 of order 1 - +15, 80, 768, - // C2[4]/eps^4, polynomial in eps2 of order 1 - +7, 35, 512, - // C2[5]/eps^5, polynomial in eps2 of order 0 - +63, 1280, - // C2[6]/eps^6, polynomial in eps2 of order 0 - +77, 2048 - ]; - - // The coefficients C2[l] in the Fourier expansion of B2 - g.C2f = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC2_; ++l) { // l is index of C2[l] - p = Math.floor((g.nC2_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C2f_coeff, o, eps2) / C2f_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @summary Initialize a Geodesic object for a specific ellipsoid. - * @classdesc Performs geodesic calculations on an ellipsoid of revolution. - * The routines for solving the direct and inverse problems return an - * object with some of the following fields set: lat1, lon1, azi1, lat2, - * lon2, azi2, s12, a12, m12, M12, M21, S12. See {@tutorial 2-interface}, - * "The results". - * @example - * var GeographicLib = require("geographiclib"), - * geod = GeographicLib.Geodesic.WGS84; - * var inv = geod.Inverse(1,2,3,4); - * console.log("lat1 = " + inv.lat1 + ", lon1 = " + inv.lon1 + - * ", lat2 = " + inv.lat2 + ", lon2 = " + inv.lon2 + - * ",\nazi1 = " + inv.azi1 + ", azi2 = " + inv.azi2 + - * ", s12 = " + inv.s12); - * @param {number} a the equatorial radius of the ellipsoid (meters). - * @param {number} f the flattening of the ellipsoid. Setting f = 0 gives - * a sphere (on which geodesics are great circles). Negative f gives a - * prolate ellipsoid. - * @throws an error if the parameters are illegal. - */ - g.Geodesic = function(a, f) { - this.a = a; - this.f = f; - this._f1 = 1 - this.f; - this._e2 = this.f * (2 - this.f); - this._ep2 = this._e2 / m.sq(this._f1); // e2 / (1 - e2) - this._n = this.f / ( 2 - this.f); - this._b = this.a * this._f1; - // authalic radius squared - this._c2 = (m.sq(this.a) + m.sq(this._b) * - (this._e2 === 0 ? 1 : - (this._e2 > 0 ? m.atanh(Math.sqrt(this._e2)) : - Math.atan(Math.sqrt(-this._e2))) / - Math.sqrt(Math.abs(this._e2))))/2; - // The sig12 threshold for "really short". Using the auxiliary sphere - // solution with dnm computed at (bet1 + bet2) / 2, the relative error in - // the azimuth consistency check is sig12^2 * abs(f) * min(1, 1-f/2) / 2. - // (Error measured for 1/100 < b/a < 100 and abs(f) >= 1/1000. For a given - // f and sig12, the max error occurs for lines near the pole. If the old - // rule for computing dnm = (dn1 + dn2)/2 is used, then the error increases - // by a factor of 2.) Setting this equal to epsilon gives sig12 = etol2. - // Here 0.1 is a safety factor (error decreased by 100) and max(0.001, - // abs(f)) stops etol2 getting too large in the nearly spherical case. - this._etol2 = 0.1 * tol2_ / - Math.sqrt( Math.max(0.001, Math.abs(this.f)) * - Math.min(1.0, 1 - this.f/2) / 2 ); - if (!(isFinite(this.a) && this.a > 0)) - throw new Error("Equatorial radius is not positive"); - if (!(isFinite(this._b) && this._b > 0)) - throw new Error("Polar semi-axis is not positive"); - this._A3x = new Array(nA3x_); - this._C3x = new Array(nC3x_); - this._C4x = new Array(nC4x_); - this.A3coeff(); - this.C3coeff(); - this.C4coeff(); - }; - - A3_coeff = [ - // A3, coeff of eps^5, polynomial in n of order 0 - -3, 128, - // A3, coeff of eps^4, polynomial in n of order 1 - -2, -3, 64, - // A3, coeff of eps^3, polynomial in n of order 2 - -1, -3, -1, 16, - // A3, coeff of eps^2, polynomial in n of order 2 - +3, -1, -2, 8, - // A3, coeff of eps^1, polynomial in n of order 1 - +1, -1, 2, - // A3, coeff of eps^0, polynomial in n of order 0 - +1, 1 - ]; - - // The scale factor A3 = mean value of (d/dsigma)I3 - g.Geodesic.prototype.A3coeff = function() { - var o = 0, k = 0, - j, p; - for (j = nA3_ - 1; j >= 0; --j) { // coeff of eps^j - p = Math.min(nA3_ - j - 1, j); // order of polynomial in n - this._A3x[k++] = m.polyval(p, A3_coeff, o, this._n) / - A3_coeff[o + p + 1]; - o += p + 2; - } - }; - - C3_coeff = [ - // C3[1], coeff of eps^5, polynomial in n of order 0 - +3, 128, - // C3[1], coeff of eps^4, polynomial in n of order 1 - +2, 5, 128, - // C3[1], coeff of eps^3, polynomial in n of order 2 - -1, 3, 3, 64, - // C3[1], coeff of eps^2, polynomial in n of order 2 - -1, 0, 1, 8, - // C3[1], coeff of eps^1, polynomial in n of order 1 - -1, 1, 4, - // C3[2], coeff of eps^5, polynomial in n of order 0 - +5, 256, - // C3[2], coeff of eps^4, polynomial in n of order 1 - +1, 3, 128, - // C3[2], coeff of eps^3, polynomial in n of order 2 - -3, -2, 3, 64, - // C3[2], coeff of eps^2, polynomial in n of order 2 - +1, -3, 2, 32, - // C3[3], coeff of eps^5, polynomial in n of order 0 - +7, 512, - // C3[3], coeff of eps^4, polynomial in n of order 1 - -10, 9, 384, - // C3[3], coeff of eps^3, polynomial in n of order 2 - +5, -9, 5, 192, - // C3[4], coeff of eps^5, polynomial in n of order 0 - +7, 512, - // C3[4], coeff of eps^4, polynomial in n of order 1 - -14, 7, 512, - // C3[5], coeff of eps^5, polynomial in n of order 0 - +21, 2560 - ]; - - // The coefficients C3[l] in the Fourier expansion of B3 - g.Geodesic.prototype.C3coeff = function() { - var o = 0, k = 0, - l, j, p; - for (l = 1; l < g.nC3_; ++l) { // l is index of C3[l] - for (j = g.nC3_ - 1; j >= l; --j) { // coeff of eps^j - p = Math.min(g.nC3_ - j - 1, j); // order of polynomial in n - this._C3x[k++] = m.polyval(p, C3_coeff, o, this._n) / - C3_coeff[o + p + 1]; - o += p + 2; - } - } - }; - - C4_coeff = [ - // C4[0], coeff of eps^5, polynomial in n of order 0 - +97, 15015, - // C4[0], coeff of eps^4, polynomial in n of order 1 - +1088, 156, 45045, - // C4[0], coeff of eps^3, polynomial in n of order 2 - -224, -4784, 1573, 45045, - // C4[0], coeff of eps^2, polynomial in n of order 3 - -10656, 14144, -4576, -858, 45045, - // C4[0], coeff of eps^1, polynomial in n of order 4 - +64, 624, -4576, 6864, -3003, 15015, - // C4[0], coeff of eps^0, polynomial in n of order 5 - +100, 208, 572, 3432, -12012, 30030, 45045, - // C4[1], coeff of eps^5, polynomial in n of order 0 - +1, 9009, - // C4[1], coeff of eps^4, polynomial in n of order 1 - -2944, 468, 135135, - // C4[1], coeff of eps^3, polynomial in n of order 2 - +5792, 1040, -1287, 135135, - // C4[1], coeff of eps^2, polynomial in n of order 3 - +5952, -11648, 9152, -2574, 135135, - // C4[1], coeff of eps^1, polynomial in n of order 4 - -64, -624, 4576, -6864, 3003, 135135, - // C4[2], coeff of eps^5, polynomial in n of order 0 - +8, 10725, - // C4[2], coeff of eps^4, polynomial in n of order 1 - +1856, -936, 225225, - // C4[2], coeff of eps^3, polynomial in n of order 2 - -8448, 4992, -1144, 225225, - // C4[2], coeff of eps^2, polynomial in n of order 3 - -1440, 4160, -4576, 1716, 225225, - // C4[3], coeff of eps^5, polynomial in n of order 0 - -136, 63063, - // C4[3], coeff of eps^4, polynomial in n of order 1 - +1024, -208, 105105, - // C4[3], coeff of eps^3, polynomial in n of order 2 - +3584, -3328, 1144, 315315, - // C4[4], coeff of eps^5, polynomial in n of order 0 - -128, 135135, - // C4[4], coeff of eps^4, polynomial in n of order 1 - -2560, 832, 405405, - // C4[5], coeff of eps^5, polynomial in n of order 0 - +128, 99099 - ]; - - g.Geodesic.prototype.C4coeff = function() { - var o = 0, k = 0, - l, j, p; - for (l = 0; l < g.nC4_; ++l) { // l is index of C4[l] - for (j = g.nC4_ - 1; j >= l; --j) { // coeff of eps^j - p = g.nC4_ - j - 1; // order of polynomial in n - this._C4x[k++] = m.polyval(p, C4_coeff, o, this._n) / - C4_coeff[o + p + 1]; - o += p + 2; - } - } - }; - - g.Geodesic.prototype.A3f = function(eps) { - // Evaluate A3 - return m.polyval(nA3x_ - 1, this._A3x, 0, eps); - }; - - g.Geodesic.prototype.C3f = function(eps, c) { - // Evaluate C3 coeffs - // Elements c[1] thru c[nC3_ - 1] are set - var mult = 1, - o = 0, - l, p; - for (l = 1; l < g.nC3_; ++l) { // l is index of C3[l] - p = g.nC3_ - l - 1; // order of polynomial in eps - mult *= eps; - c[l] = mult * m.polyval(p, this._C3x, o, eps); - o += p + 1; - } - }; - - g.Geodesic.prototype.C4f = function(eps, c) { - // Evaluate C4 coeffs - // Elements c[0] thru c[g.nC4_ - 1] are set - var mult = 1, - o = 0, - l, p; - for (l = 0; l < g.nC4_; ++l) { // l is index of C4[l] - p = g.nC4_ - l - 1; // order of polynomial in eps - c[l] = mult * m.polyval(p, this._C4x, o, eps); - o += p + 1; - mult *= eps; - } - }; - - // return s12b, m12b, m0, M12, M21 - g.Geodesic.prototype.Lengths = function(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, outmask, - C1a, C2a) { - // Return m12b = (reduced length)/_b; also calculate s12b = - // distance/_b, and m0 = coefficient of secular term in - // expression for reduced length. - outmask &= g.OUT_MASK; - var vals = {}, - m0x = 0, J12 = 0, A1 = 0, A2 = 0, - B1, B2, l, csig12, t; - if (outmask & (g.DISTANCE | g.REDUCEDLENGTH | g.GEODESICSCALE)) { - A1 = g.A1m1f(eps); - g.C1f(eps, C1a); - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - A2 = g.A2m1f(eps); - g.C2f(eps, C2a); - m0x = A1 - A2; - A2 = 1 + A2; - } - A1 = 1 + A1; - } - if (outmask & g.DISTANCE) { - B1 = g.SinCosSeries(true, ssig2, csig2, C1a) - - g.SinCosSeries(true, ssig1, csig1, C1a); - // Missing a factor of _b - vals.s12b = A1 * (sig12 + B1); - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - B2 = g.SinCosSeries(true, ssig2, csig2, C2a) - - g.SinCosSeries(true, ssig1, csig1, C2a); - J12 = m0x * sig12 + (A1 * B1 - A2 * B2); - } - } else if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - // Assume here that nC1_ >= nC2_ - for (l = 1; l <= g.nC2_; ++l) - C2a[l] = A1 * C1a[l] - A2 * C2a[l]; - J12 = m0x * sig12 + (g.SinCosSeries(true, ssig2, csig2, C2a) - - g.SinCosSeries(true, ssig1, csig1, C2a)); - } - if (outmask & g.REDUCEDLENGTH) { - vals.m0 = m0x; - // Missing a factor of _b. - // Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - vals.m12b = dn2 * (csig1 * ssig2) - dn1 * (ssig1 * csig2) - - csig1 * csig2 * J12; - } - if (outmask & g.GEODESICSCALE) { - csig12 = csig1 * csig2 + ssig1 * ssig2; - t = this._ep2 * (cbet1 - cbet2) * (cbet1 + cbet2) / (dn1 + dn2); - vals.M12 = csig12 + (t * ssig2 - csig2 * J12) * ssig1 / dn1; - vals.M21 = csig12 - (t * ssig1 - csig1 * J12) * ssig2 / dn2; - } - return vals; - }; - - // return sig12, salp1, calp1, salp2, calp2, dnm - g.Geodesic.prototype.InverseStart = function(sbet1, cbet1, dn1, - sbet2, cbet2, dn2, - lam12, slam12, clam12, - C1a, C2a) { - // Return a starting point for Newton's method in salp1 and calp1 - // (function value is -1). If Newton's method doesn't need to be - // used, return also salp2 and calp2 and function value is sig12. - // salp2, calp2 only updated if return val >= 0. - var vals = {}, - // bet12 = bet2 - bet1 in [0, pi); bet12a = bet2 + bet1 in (-pi, 0] - sbet12 = sbet2 * cbet1 - cbet2 * sbet1, - cbet12 = cbet2 * cbet1 + sbet2 * sbet1, - sbet12a, shortline, omg12, sbetm2, somg12, comg12, t, ssig12, csig12, - x, y, lamscale, betscale, k2, eps, cbet12a, bet12a, m12b, m0, nvals, - k, omg12a, lam12x; - vals.sig12 = -1; // Return value - // Volatile declaration needed to fix inverse cases - // 88.202499451857 0 -88.202499451857 179.981022032992859592 - // 89.262080389218 0 -89.262080389218 179.992207982775375662 - // 89.333123580033 0 -89.333123580032997687 179.99295812360148422 - // which otherwise fail with g++ 4.4.4 x86 -O3 - sbet12a = sbet2 * cbet1; - sbet12a += cbet2 * sbet1; - - shortline = cbet12 >= 0 && sbet12 < 0.5 && cbet2 * lam12 < 0.5; - if (shortline) { - sbetm2 = m.sq(sbet1 + sbet2); - // sin((bet1+bet2)/2)^2 - // = (sbet1 + sbet2)^2 / ((sbet1 + sbet2)^2 + (cbet1 + cbet2)^2) - sbetm2 /= sbetm2 + m.sq(cbet1 + cbet2); - vals.dnm = Math.sqrt(1 + this._ep2 * sbetm2); - omg12 = lam12 / (this._f1 * vals.dnm); - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } else { - somg12 = slam12; comg12 = clam12; - } - - vals.salp1 = cbet2 * somg12; - vals.calp1 = comg12 >= 0 ? - sbet12 + cbet2 * sbet1 * m.sq(somg12) / (1 + comg12) : - sbet12a - cbet2 * sbet1 * m.sq(somg12) / (1 - comg12); - - ssig12 = m.hypot(vals.salp1, vals.calp1); - csig12 = sbet1 * sbet2 + cbet1 * cbet2 * comg12; - if (shortline && ssig12 < this._etol2) { - // really short lines - vals.salp2 = cbet1 * somg12; - vals.calp2 = sbet12 - cbet1 * sbet2 * - (comg12 >= 0 ? m.sq(somg12) / (1 + comg12) : 1 - comg12); - // norm(vals.salp2, vals.calp2); - t = m.hypot(vals.salp2, vals.calp2); vals.salp2 /= t; vals.calp2 /= t; - // Set return value - vals.sig12 = Math.atan2(ssig12, csig12); - } else if (Math.abs(this._n) > 0.1 || // Skip astroid calc if too eccentric - csig12 >= 0 || - ssig12 >= 6 * Math.abs(this._n) * Math.PI * m.sq(cbet1)) { - // Nothing to do, zeroth order spherical approximation is OK - } else { - // Scale lam12 and bet2 to x, y coordinate system where antipodal - // point is at origin and singular point is at y = 0, x = -1. - lam12x = Math.atan2(-slam12, -clam12); // lam12 - pi - if (this.f >= 0) { // In fact f == 0 does not get here - // x = dlong, y = dlat - k2 = m.sq(sbet1) * this._ep2; - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - lamscale = this.f * cbet1 * this.A3f(eps) * Math.PI; - betscale = lamscale * cbet1; - - x = lam12x / lamscale; - y = sbet12a / betscale; - } else { // f < 0 - // x = dlat, y = dlong - cbet12a = cbet2 * cbet1 - sbet2 * sbet1; - bet12a = Math.atan2(sbet12a, cbet12a); - // In the case of lon12 = 180, this repeats a calculation made - // in Inverse. - nvals = this.Lengths(this._n, Math.PI + bet12a, - sbet1, -cbet1, dn1, sbet2, cbet2, dn2, - cbet1, cbet2, g.REDUCEDLENGTH, C1a, C2a); - m12b = nvals.m12b; m0 = nvals.m0; - x = -1 + m12b / (cbet1 * cbet2 * m0 * Math.PI); - betscale = x < -0.01 ? sbet12a / x : - -this.f * m.sq(cbet1) * Math.PI; - lamscale = betscale / cbet1; - y = lam12 / lamscale; - } - - if (y > -tol1_ && x > -1 - xthresh_) { - // strip near cut - if (this.f >= 0) { - vals.salp1 = Math.min(1, -x); - vals.calp1 = -Math.sqrt(1 - m.sq(vals.salp1)); - } else { - vals.calp1 = Math.max(x > -tol1_ ? 0 : -1, x); - vals.salp1 = Math.sqrt(1 - m.sq(vals.calp1)); - } - } else { - // Estimate alp1, by solving the astroid problem. - // - // Could estimate alpha1 = theta + pi/2, directly, i.e., - // calp1 = y/k; salp1 = -x/(1+k); for f >= 0 - // calp1 = x/(1+k); salp1 = -y/k; for f < 0 (need to check) - // - // However, it's better to estimate omg12 from astroid and use - // spherical formula to compute alp1. This reduces the mean number of - // Newton iterations for astroid cases from 2.24 (min 0, max 6) to 2.12 - // (min 0 max 5). The changes in the number of iterations are as - // follows: - // - // change percent - // 1 5 - // 0 78 - // -1 16 - // -2 0.6 - // -3 0.04 - // -4 0.002 - // - // The histogram of iterations is (m = number of iterations estimating - // alp1 directly, n = number of iterations estimating via omg12, total - // number of trials = 148605): - // - // iter m n - // 0 148 186 - // 1 13046 13845 - // 2 93315 102225 - // 3 36189 32341 - // 4 5396 7 - // 5 455 1 - // 6 56 0 - // - // Because omg12 is near pi, estimate work with omg12a = pi - omg12 - k = astroid(x, y); - omg12a = lamscale * ( this.f >= 0 ? -x * k/(1 + k) : -y * (1 + k)/k ); - somg12 = Math.sin(omg12a); comg12 = -Math.cos(omg12a); - // Update spherical estimate of alp1 using omg12 instead of - // lam12 - vals.salp1 = cbet2 * somg12; - vals.calp1 = sbet12a - - cbet2 * sbet1 * m.sq(somg12) / (1 - comg12); - } - } - // Sanity check on starting guess. Backwards check allows NaN through. - if (!(vals.salp1 <= 0.0)) { - // norm(vals.salp1, vals.calp1); - t = m.hypot(vals.salp1, vals.calp1); vals.salp1 /= t; vals.calp1 /= t; - } else { - vals.salp1 = 1; vals.calp1 = 0; - } - return vals; - }; - - // return lam12, salp2, calp2, sig12, ssig1, csig1, ssig2, csig2, eps, - // domg12, dlam12, - g.Geodesic.prototype.Lambda12 = function(sbet1, cbet1, dn1, - sbet2, cbet2, dn2, - salp1, calp1, slam120, clam120, - diffp, C1a, C2a, C3a) { - var vals = {}, - t, salp0, calp0, - somg1, comg1, somg2, comg2, somg12, comg12, B312, eta, k2, nvals; - if (sbet1 === 0 && calp1 === 0) - // Break degeneracy of equatorial line. This case has already been - // handled. - calp1 = -g.tiny_; - - // sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1; - calp0 = m.hypot(calp1, salp1 * sbet1); // calp0 > 0 - - // tan(bet1) = tan(sig1) * cos(alp1) - // tan(omg1) = sin(alp0) * tan(sig1) = tan(omg1)=tan(alp1)*sin(bet1) - vals.ssig1 = sbet1; somg1 = salp0 * sbet1; - vals.csig1 = comg1 = calp1 * cbet1; - // norm(vals.ssig1, vals.csig1); - t = m.hypot(vals.ssig1, vals.csig1); vals.ssig1 /= t; vals.csig1 /= t; - // norm(somg1, comg1); -- don't need to normalize! - - // Enforce symmetries in the case abs(bet2) = -bet1. Need to be careful - // about this case, since this can yield singularities in the Newton - // iteration. - // sin(alp2) * cos(bet2) = sin(alp0) - vals.salp2 = cbet2 !== cbet1 ? salp0 / cbet2 : salp1; - // calp2 = sqrt(1 - sq(salp2)) - // = sqrt(sq(calp0) - sq(sbet2)) / cbet2 - // and subst for calp0 and rearrange to give (choose positive sqrt - // to give alp2 in [0, pi/2]). - vals.calp2 = cbet2 !== cbet1 || Math.abs(sbet2) !== -sbet1 ? - Math.sqrt(m.sq(calp1 * cbet1) + (cbet1 < -sbet1 ? - (cbet2 - cbet1) * (cbet1 + cbet2) : - (sbet1 - sbet2) * (sbet1 + sbet2))) / - cbet2 : Math.abs(calp1); - // tan(bet2) = tan(sig2) * cos(alp2) - // tan(omg2) = sin(alp0) * tan(sig2). - vals.ssig2 = sbet2; somg2 = salp0 * sbet2; - vals.csig2 = comg2 = vals.calp2 * cbet2; - // norm(vals.ssig2, vals.csig2); - t = m.hypot(vals.ssig2, vals.csig2); vals.ssig2 /= t; vals.csig2 /= t; - // norm(somg2, comg2); -- don't need to normalize! - - // sig12 = sig2 - sig1, limit to [0, pi] - vals.sig12 = Math.atan2(Math.max(0, vals.csig1 * vals.ssig2 - - vals.ssig1 * vals.csig2), - vals.csig1 * vals.csig2 + - vals.ssig1 * vals.ssig2); - - // omg12 = omg2 - omg1, limit to [0, pi] - somg12 = Math.max(0, comg1 * somg2 - somg1 * comg2); - comg12 = comg1 * comg2 + somg1 * somg2; - // eta = omg12 - lam120 - eta = Math.atan2(somg12 * clam120 - comg12 * slam120, - comg12 * clam120 + somg12 * slam120); - k2 = m.sq(calp0) * this._ep2; - vals.eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - this.C3f(vals.eps, C3a); - B312 = (g.SinCosSeries(true, vals.ssig2, vals.csig2, C3a) - - g.SinCosSeries(true, vals.ssig1, vals.csig1, C3a)); - vals.domg12 = -this.f * this.A3f(vals.eps) * salp0 * (vals.sig12 + B312); - vals.lam12 = eta + vals.domg12; - if (diffp) { - if (vals.calp2 === 0) - vals.dlam12 = -2 * this._f1 * dn1 / sbet1; - else { - nvals = this.Lengths(vals.eps, vals.sig12, - vals.ssig1, vals.csig1, dn1, - vals.ssig2, vals.csig2, dn2, - cbet1, cbet2, g.REDUCEDLENGTH, C1a, C2a); - vals.dlam12 = nvals.m12b; - vals.dlam12 *= this._f1 / (vals.calp2 * cbet2); - } - } - return vals; - }; - - /** - * @summary Solve the inverse geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} lat2 the latitude of the second point in degrees. - * @param {number} lon2 the longitude of the second point in degrees. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results - * @description The lat1, lon1, lat2, lon2, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Inverse = function(lat1, lon1, lat2, lon2, outmask) { - var r, vals; - if (!outmask) outmask = g.STANDARD; - if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - outmask &= g.OUT_MASK; - r = this.InverseInt(lat1, lon1, lat2, lon2, outmask); - vals = r.vals; - if (outmask & g.AZIMUTH) { - vals.azi1 = m.atan2d(r.salp1, r.calp1); - vals.azi2 = m.atan2d(r.salp2, r.calp2); - } - return vals; - }; - - g.Geodesic.prototype.InverseInt = function(lat1, lon1, lat2, lon2, outmask) { - var vals = {}, - lon12, lon12s, lonsign, t, swapp, latsign, - sbet1, cbet1, sbet2, cbet2, s12x, m12x, - dn1, dn2, lam12, slam12, clam12, - sig12, calp1, salp1, calp2, salp2, C1a, C2a, C3a, meridian, nvals, - ssig1, csig1, ssig2, csig2, eps, omg12, dnm, - numit, salp1a, calp1a, salp1b, calp1b, - tripn, tripb, v, dv, dalp1, sdalp1, cdalp1, nsalp1, - lengthmask, salp0, calp0, alp12, k2, A4, C4a, B41, B42, - somg12, comg12, domg12, dbet1, dbet2, salp12, calp12, sdomg12, cdomg12; - // Compute longitude difference (AngDiff does this carefully). Result is - // in [-180, 180] but -180 is only for west-going geodesics. 180 is for - // east-going and meridional geodesics. - vals.lat1 = lat1 = m.LatFix(lat1); vals.lat2 = lat2 = m.LatFix(lat2); - // If really close to the equator, treat as on equator. - lat1 = m.AngRound(lat1); - lat2 = m.AngRound(lat2); - lon12 = m.AngDiff(lon1, lon2); lon12s = lon12.t; lon12 = lon12.s; - if (outmask & g.LONG_UNROLL) { - vals.lon1 = lon1; vals.lon2 = (lon1 + lon12) + lon12s; - } else { - vals.lon1 = m.AngNormalize(lon1); vals.lon2 = m.AngNormalize(lon2); - } - // Make longitude difference positive. - lonsign = lon12 >= 0 ? 1 : -1; - // If very close to being on the same half-meridian, then make it so. - lon12 = lonsign * m.AngRound(lon12); - lon12s = m.AngRound((180 - lon12) - lonsign * lon12s); - lam12 = lon12 * m.degree; - t = m.sincosd(lon12 > 90 ? lon12s : lon12); - slam12 = t.s; clam12 = (lon12 > 90 ? -1 : 1) * t.c; - - // Swap points so that point with higher (abs) latitude is point 1 - // If one latitude is a nan, then it becomes lat1. - swapp = Math.abs(lat1) < Math.abs(lat2) ? -1 : 1; - if (swapp < 0) { - lonsign *= -1; - t = lat1; - lat1 = lat2; - lat2 = t; - // swap(lat1, lat2); - } - // Make lat1 <= 0 - latsign = lat1 < 0 ? 1 : -1; - lat1 *= latsign; - lat2 *= latsign; - // Now we have - // - // 0 <= lon12 <= 180 - // -90 <= lat1 <= 0 - // lat1 <= lat2 <= -lat1 - // - // longsign, swapp, latsign register the transformation to bring the - // coordinates to this canonical form. In all cases, 1 means no change was - // made. We make these transformations so that there are few cases to - // check, e.g., on verifying quadrants in atan2. In addition, this - // enforces some symmetries in the results returned. - - t = m.sincosd(lat1); sbet1 = this._f1 * t.s; cbet1 = t.c; - // norm(sbet1, cbet1); - t = m.hypot(sbet1, cbet1); sbet1 /= t; cbet1 /= t; - // Ensure cbet1 = +epsilon at poles - cbet1 = Math.max(g.tiny_, cbet1); - - t = m.sincosd(lat2); sbet2 = this._f1 * t.s; cbet2 = t.c; - // norm(sbet2, cbet2); - t = m.hypot(sbet2, cbet2); sbet2 /= t; cbet2 /= t; - // Ensure cbet2 = +epsilon at poles - cbet2 = Math.max(g.tiny_, cbet2); - - // If cbet1 < -sbet1, then cbet2 - cbet1 is a sensitive measure of the - // |bet1| - |bet2|. Alternatively (cbet1 >= -sbet1), abs(sbet2) + sbet1 is - // a better measure. This logic is used in assigning calp2 in Lambda12. - // Sometimes these quantities vanish and in that case we force bet2 = +/- - // bet1 exactly. An example where is is necessary is the inverse problem - // 48.522876735459 0 -48.52287673545898293 179.599720456223079643 - // which failed with Visual Studio 10 (Release and Debug) - - if (cbet1 < -sbet1) { - if (cbet2 === cbet1) - sbet2 = sbet2 < 0 ? sbet1 : -sbet1; - } else { - if (Math.abs(sbet2) === -sbet1) - cbet2 = cbet1; - } - - dn1 = Math.sqrt(1 + this._ep2 * m.sq(sbet1)); - dn2 = Math.sqrt(1 + this._ep2 * m.sq(sbet2)); - - // index zero elements of these arrays are unused - C1a = new Array(g.nC1_ + 1); - C2a = new Array(g.nC2_ + 1); - C3a = new Array(g.nC3_); - - meridian = lat1 === -90 || slam12 === 0; - if (meridian) { - - // Endpoints are on a single full meridian, so the geodesic might - // lie on a meridian. - - calp1 = clam12; salp1 = slam12; // Head to the target longitude - calp2 = 1; salp2 = 0; // At the target we're heading north - - // tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - - // sig12 = sig2 - sig1 - sig12 = Math.atan2(Math.max(0, csig1 * ssig2 - ssig1 * csig2), - csig1 * csig2 + ssig1 * ssig2); - nvals = this.Lengths(this._n, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, cbet1, cbet2, - outmask | g.DISTANCE | g.REDUCEDLENGTH, - C1a, C2a); - s12x = nvals.s12b; - m12x = nvals.m12b; - // Ignore m0 - if (outmask & g.GEODESICSCALE) { - vals.M12 = nvals.M12; - vals.M21 = nvals.M21; - } - // Add the check for sig12 since zero length geodesics might yield - // m12 < 0. Test case was - // - // echo 20.001 0 20.001 0 | GeodSolve -i - // - // In fact, we will have sig12 > pi/2 for meridional geodesic - // which is not a shortest path. - if (sig12 < 1 || m12x >= 0) { - // Need at least 2, to handle 90 0 90 180 - if (sig12 < 3 * g.tiny_) - sig12 = m12x = s12x = 0; - m12x *= this._b; - s12x *= this._b; - vals.a12 = sig12 / m.degree; - } else - // m12 < 0, i.e., prolate and too close to anti-podal - meridian = false; - } - - somg12 = 2; - if (!meridian && - sbet1 === 0 && // and sbet2 == 0 - (this.f <= 0 || lon12s >= this.f * 180)) { - - // Geodesic runs along equator - calp1 = calp2 = 0; salp1 = salp2 = 1; - s12x = this.a * lam12; - sig12 = omg12 = lam12 / this._f1; - m12x = this._b * Math.sin(sig12); - if (outmask & g.GEODESICSCALE) - vals.M12 = vals.M21 = Math.cos(sig12); - vals.a12 = lon12 / this._f1; - - } else if (!meridian) { - - // Now point1 and point2 belong within a hemisphere bounded by a - // meridian and geodesic is neither meridional or equatorial. - - // Figure a starting point for Newton's method - nvals = this.InverseStart(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - lam12, slam12, clam12, C1a, C2a); - sig12 = nvals.sig12; - salp1 = nvals.salp1; - calp1 = nvals.calp1; - - if (sig12 >= 0) { - salp2 = nvals.salp2; - calp2 = nvals.calp2; - // Short lines (InverseStart sets salp2, calp2, dnm) - - dnm = nvals.dnm; - s12x = sig12 * this._b * dnm; - m12x = m.sq(dnm) * this._b * Math.sin(sig12 / dnm); - if (outmask & g.GEODESICSCALE) - vals.M12 = vals.M21 = Math.cos(sig12 / dnm); - vals.a12 = sig12 / m.degree; - omg12 = lam12 / (this._f1 * dnm); - } else { - - // Newton's method. This is a straightforward solution of f(alp1) = - // lambda12(alp1) - lam12 = 0 with one wrinkle. f(alp) has exactly one - // root in the interval (0, pi) and its derivative is positive at the - // root. Thus f(alp) is positive for alp > alp1 and negative for alp < - // alp1. During the course of the iteration, a range (alp1a, alp1b) is - // maintained which brackets the root and with each evaluation of - // f(alp) the range is shrunk if possible. Newton's method is - // restarted whenever the derivative of f is negative (because the new - // value of alp1 is then further from the solution) or if the new - // estimate of alp1 lies outside (0,pi); in this case, the new starting - // guess is taken to be (alp1a + alp1b) / 2. - numit = 0; - // Bracketing range - salp1a = g.tiny_; calp1a = 1; salp1b = g.tiny_; calp1b = -1; - for (tripn = false, tripb = false; numit < maxit2_; ++numit) { - // the WGS84 test set: mean = 1.47, sd = 1.25, max = 16 - // WGS84 and random input: mean = 2.85, sd = 0.60 - nvals = this.Lambda12(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - salp1, calp1, slam12, clam12, numit < maxit1_, - C1a, C2a, C3a); - v = nvals.lam12; - salp2 = nvals.salp2; - calp2 = nvals.calp2; - sig12 = nvals.sig12; - ssig1 = nvals.ssig1; - csig1 = nvals.csig1; - ssig2 = nvals.ssig2; - csig2 = nvals.csig2; - eps = nvals.eps; - domg12 = nvals.domg12; - dv = nvals.dlam12; - - // 2 * tol0 is approximately 1 ulp for a number in [0, pi]. - // Reversed test to allow escape with NaNs - if (tripb || !(Math.abs(v) >= (tripn ? 8 : 1) * tol0_)) - break; - // Update bracketing values - if (v > 0 && (numit < maxit1_ || calp1/salp1 > calp1b/salp1b)) { - salp1b = salp1; calp1b = calp1; - } else if (v < 0 && - (numit < maxit1_ || calp1/salp1 < calp1a/salp1a)) { - salp1a = salp1; calp1a = calp1; - } - if (numit < maxit1_ && dv > 0) { - dalp1 = -v/dv; - sdalp1 = Math.sin(dalp1); cdalp1 = Math.cos(dalp1); - nsalp1 = salp1 * cdalp1 + calp1 * sdalp1; - if (nsalp1 > 0 && Math.abs(dalp1) < Math.PI) { - calp1 = calp1 * cdalp1 - salp1 * sdalp1; - salp1 = nsalp1; - // norm(salp1, calp1); - t = m.hypot(salp1, calp1); salp1 /= t; calp1 /= t; - // In some regimes we don't get quadratic convergence because - // slope -> 0. So use convergence conditions based on epsilon - // instead of sqrt(epsilon). - tripn = Math.abs(v) <= 16 * tol0_; - continue; - } - } - // Either dv was not positive or updated value was outside legal - // range. Use the midpoint of the bracket as the next estimate. - // This mechanism is not needed for the WGS84 ellipsoid, but it does - // catch problems with more eccentric ellipsoids. Its efficacy is - // such for the WGS84 test set with the starting guess set to alp1 = - // 90deg: - // the WGS84 test set: mean = 5.21, sd = 3.93, max = 24 - // WGS84 and random input: mean = 4.74, sd = 0.99 - salp1 = (salp1a + salp1b)/2; - calp1 = (calp1a + calp1b)/2; - // norm(salp1, calp1); - t = m.hypot(salp1, calp1); salp1 /= t; calp1 /= t; - tripn = false; - tripb = (Math.abs(salp1a - salp1) + (calp1a - calp1) < tolb_ || - Math.abs(salp1 - salp1b) + (calp1 - calp1b) < tolb_); - } - lengthmask = outmask | - (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE) ? - g.DISTANCE : g.NONE); - nvals = this.Lengths(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, - lengthmask, C1a, C2a); - s12x = nvals.s12b; - m12x = nvals.m12b; - // Ignore m0 - if (outmask & g.GEODESICSCALE) { - vals.M12 = nvals.M12; - vals.M21 = nvals.M21; - } - m12x *= this._b; - s12x *= this._b; - vals.a12 = sig12 / m.degree; - if (outmask & g.AREA) { - // omg12 = lam12 - domg12 - sdomg12 = Math.sin(domg12); cdomg12 = Math.cos(domg12); - somg12 = slam12 * cdomg12 - clam12 * sdomg12; - comg12 = clam12 * cdomg12 + slam12 * sdomg12; - } - } - } - - if (outmask & g.DISTANCE) - vals.s12 = 0 + s12x; // Convert -0 to 0 - - if (outmask & g.REDUCEDLENGTH) - vals.m12 = 0 + m12x; // Convert -0 to 0 - - if (outmask & g.AREA) { - // From Lambda12: sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1; - calp0 = m.hypot(calp1, salp1 * sbet1); // calp0 > 0 - if (calp0 !== 0 && salp0 !== 0) { - // From Lambda12: tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - k2 = m.sq(calp0) * this._ep2; - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0). - A4 = m.sq(this.a) * calp0 * salp0 * this._e2; - // norm(ssig1, csig1); - t = m.hypot(ssig1, csig1); ssig1 /= t; csig1 /= t; - // norm(ssig2, csig2); - t = m.hypot(ssig2, csig2); ssig2 /= t; csig2 /= t; - C4a = new Array(g.nC4_); - this.C4f(eps, C4a); - B41 = g.SinCosSeries(false, ssig1, csig1, C4a); - B42 = g.SinCosSeries(false, ssig2, csig2, C4a); - vals.S12 = A4 * (B42 - B41); - } else - // Avoid problems with indeterminate sig1, sig2 on equator - vals.S12 = 0; - if (!meridian && somg12 > 1) { - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } - if (!meridian && - comg12 > -0.7071 && // Long difference not too big - sbet2 - sbet1 < 1.75) { // Lat difference not too big - // Use tan(Gamma/2) = tan(omg12/2) - // * (tan(bet1/2)+tan(bet2/2))/(1+tan(bet1/2)*tan(bet2/2)) - // with tan(x/2) = sin(x)/(1+cos(x)) - domg12 = 1 + comg12; dbet1 = 1 + cbet1; dbet2 = 1 + cbet2; - alp12 = 2 * Math.atan2( somg12 * (sbet1*dbet2 + sbet2*dbet1), - domg12 * (sbet1*sbet2 + dbet1*dbet2) ); - } else { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * calp1 - calp2 * salp1; - calp12 = calp2 * calp1 + salp2 * salp1; - // The right thing appears to happen if alp1 = +/-180 and alp2 = 0, viz - // salp12 = -0 and alp12 = -180. However this depends on the sign - // being attached to 0 correctly. The following ensures the correct - // behavior. - if (salp12 === 0 && calp12 < 0) { - salp12 = g.tiny_ * calp1; - calp12 = -1; - } - alp12 = Math.atan2(salp12, calp12); - } - vals.S12 += this._c2 * alp12; - vals.S12 *= swapp * lonsign * latsign; - // Convert -0 to 0 - vals.S12 += 0; - } - - // Convert calp, salp to azimuth accounting for lonsign, swapp, latsign. - if (swapp < 0) { - t = salp1; - salp1 = salp2; - salp2 = t; - // swap(salp1, salp2); - t = calp1; - calp1 = calp2; - calp2 = t; - // swap(calp1, calp2); - if (outmask & g.GEODESICSCALE) { - t = vals.M12; - vals.M12 = vals.M21; - vals.M21 = t; - // swap(vals.M12, vals.M21); - } - } - - salp1 *= swapp * lonsign; calp1 *= swapp * latsign; - salp2 *= swapp * lonsign; calp2 *= swapp * latsign; - - return {vals: vals, - salp1: salp1, calp1: calp1, - salp2: salp2, calp2: calp2}; - }; - - /** - * @summary Solve the general direct geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {bool} arcmode is the next parameter an arc length? - * @param {number} s12_a12 the (arcmode ? arc length : distance) from the - * first point to the second in (arcmode ? degrees : meters). - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are always - * set; s12 is included if arcmode is false. For details on the outmask - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.GenDirect = function(lat1, lon1, azi1, - arcmode, s12_a12, outmask) { - var line; - if (!outmask) outmask = g.STANDARD; - else if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) outmask |= g.DISTANCE_IN; - line = new l.GeodesicLine(this, lat1, lon1, azi1, outmask); - return line.GenPosition(arcmode, s12_a12, outmask); - }; - - /** - * @summary Solve the direct geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {number} s12 the distance from the first point to the second in - * meters. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, s12, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Direct = function(lat1, lon1, azi1, s12, outmask) { - return this.GenDirect(lat1, lon1, azi1, false, s12, outmask); - }; - - /** - * @summary Solve the direct geodesic problem with arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {number} a12 the arc length from the first point to the second in - * degrees. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.ArcDirect = function(lat1, lon1, azi1, a12, outmask) { - return this.GenDirect(lat1, lon1, azi1, true, a12, outmask); - }; - - /** - * @summary Create a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description For details on the caps parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Line = function(lat1, lon1, azi1, caps) { - return new l.GeodesicLine(this, lat1, lon1, azi1, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of distance. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {number} s12 the distance between point 1 and point 2 (meters); it - * can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.DirectLine = function(lat1, lon1, azi1, s12, caps) { - return this.GenDirectLine(lat1, lon1, azi1, false, s12, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {number} a12 the arc length between point 1 and point 2 (degrees); - * it can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.ArcDirectLine = function(lat1, lon1, azi1, a12, caps) { - return this.GenDirectLine(lat1, lon1, azi1, true, a12, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of either distance or arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {bool} arcmode boolean flag determining the meaning of the - * s12_a12. - * @param {number} s12_a12 if arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.GenDirectLine = function(lat1, lon1, azi1, - arcmode, s12_a12, caps) { - var t; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) caps |= g.DISTANCE_IN; - t = new l.GeodesicLine(this, lat1, lon1, azi1, caps); - t.GenSetDistance(arcmode, s12_a12); - return t; - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the inverse geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} lat2 the latitude of the second point in degrees. - * @param {number} lon2 the longitude of the second point in degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the inverse geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.InverseLine = function(lat1, lon1, lat2, lon2, caps) { - var r, t, azi1; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - r = this.InverseInt(lat1, lon1, lat2, lon2, g.ARC); - azi1 = m.atan2d(r.salp1, r.calp1); - // Ensure that a12 can be converted to a distance - if (caps & (g.OUT_MASK & g.DISTANCE_IN)) caps |= g.DISTANCE; - t = new l.GeodesicLine(this, lat1, lon1, azi1, caps, r.salp1, r.calp1); - t.SetArc(r.vals.a12); - return t; - }; - - /** - * @summary Create a {@link module:GeographicLib/PolygonArea.PolygonArea - * PolygonArea} object. - * @param {bool} [polyline = false] if true the new PolygonArea object - * describes a polyline instead of a polygon. - * @returns {object} the - * {@link module:GeographicLib/PolygonArea.PolygonArea - * PolygonArea} object - */ - g.Geodesic.prototype.Polygon = function(polyline) { - return new p.PolygonArea(this, polyline); - }; - - /** - * @summary a {@link module:GeographicLib/Geodesic.Geodesic Geodesic} object - * initialized for the WGS84 ellipsoid. - * @constant {object} - */ - g.WGS84 = new g.Geodesic(c.WGS84.a, c.WGS84.f); -})(GeographicLib.Geodesic, GeographicLib.GeodesicLine, - GeographicLib.PolygonArea, GeographicLib.Math, GeographicLib.Constants); - -/**************** GeodesicLine.js ****************/ -/* - * GeodesicLine.js - * Transcription of GeodesicLine.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER GeographicLib/Math.js, GeographicLib/Geodesic.js - -(function( - g, - /** - * @exports GeographicLib/GeodesicLine - * @description Solve geodesic problems on a single geodesic line via the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} - * class. - */ - l, m) { - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @property {number} lat1 the initial latitude (degrees). - * @property {number} lon1 the initial longitude (degrees). - * @property {number} azi1 the initial azimuth (degrees). - * @property {number} salp1 the sine of the azimuth at the first point. - * @property {number} calp1 the cosine the azimuth at the first point. - * @property {number} s13 the distance to point 3 (meters). - * @property {number} a13 the arc length to point 3 (degrees). - * @property {bitmask} caps the capabilities of the object. - * @summary Initialize a GeodesicLine object. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - * @classdesc Performs geodesic calculations along a given geodesic line. - * This object is usually instantiated by - * {@link module:GeographicLib/Geodesic.Geodesic#Line Geodesic.Line}. - * The methods - * {@link module:GeographicLib/Geodesic.Geodesic#DirectLine - * Geodesic.DirectLine} and - * {@link module:GeographicLib/Geodesic.Geodesic#InverseLine - * Geodesic.InverseLine} set in addition the position of a reference point - * 3. - * @param {object} geod a {@link module:GeographicLib/Geodesic.Geodesic - * Geodesic} object. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include; LATITUDE | AZIMUTH are always included. - */ - l.GeodesicLine = function(geod, lat1, lon1, azi1, caps, salp1, calp1) { - var t, cbet1, sbet1, eps, s, c; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - - this.a = geod.a; - this.f = geod.f; - this._b = geod._b; - this._c2 = geod._c2; - this._f1 = geod._f1; - this.caps = caps | g.LATITUDE | g.AZIMUTH | g.LONG_UNROLL; - - this.lat1 = m.LatFix(lat1); - this.lon1 = lon1; - if (typeof salp1 === 'undefined' || typeof calp1 === 'undefined') { - this.azi1 = m.AngNormalize(azi1); - t = m.sincosd(m.AngRound(this.azi1)); this.salp1 = t.s; this.calp1 = t.c; - } else { - this.azi1 = azi1; this.salp1 = salp1; this.calp1 = calp1; - } - t = m.sincosd(m.AngRound(this.lat1)); sbet1 = this._f1 * t.s; cbet1 = t.c; - // norm(sbet1, cbet1); - t = m.hypot(sbet1, cbet1); sbet1 /= t; cbet1 /= t; - // Ensure cbet1 = +epsilon at poles - cbet1 = Math.max(g.tiny_, cbet1); - this._dn1 = Math.sqrt(1 + geod._ep2 * m.sq(sbet1)); - - // Evaluate alp0 from sin(alp1) * cos(bet1) = sin(alp0), - this._salp0 = this.salp1 * cbet1; // alp0 in [0, pi/2 - |bet1|] - // Alt: calp0 = hypot(sbet1, calp1 * cbet1). The following - // is slightly better (consider the case salp1 = 0). - this._calp0 = m.hypot(this.calp1, this.salp1 * sbet1); - // Evaluate sig with tan(bet1) = tan(sig1) * cos(alp1). - // sig = 0 is nearest northward crossing of equator. - // With bet1 = 0, alp1 = pi/2, we have sig1 = 0 (equatorial line). - // With bet1 = pi/2, alp1 = -pi, sig1 = pi/2 - // With bet1 = -pi/2, alp1 = 0 , sig1 = -pi/2 - // Evaluate omg1 with tan(omg1) = sin(alp0) * tan(sig1). - // With alp0 in (0, pi/2], quadrants for sig and omg coincide. - // No atan2(0,0) ambiguity at poles since cbet1 = +epsilon. - // With alp0 = 0, omg1 = 0 for alp1 = 0, omg1 = pi for alp1 = pi. - this._ssig1 = sbet1; this._somg1 = this._salp0 * sbet1; - this._csig1 = this._comg1 = - sbet1 !== 0 || this.calp1 !== 0 ? cbet1 * this.calp1 : 1; - // norm(this._ssig1, this._csig1); // sig1 in (-pi, pi] - t = m.hypot(this._ssig1, this._csig1); - this._ssig1 /= t; this._csig1 /= t; - // norm(this._somg1, this._comg1); -- don't need to normalize! - - this._k2 = m.sq(this._calp0) * geod._ep2; - eps = this._k2 / (2 * (1 + Math.sqrt(1 + this._k2)) + this._k2); - - if (this.caps & g.CAP_C1) { - this._A1m1 = g.A1m1f(eps); - this._C1a = new Array(g.nC1_ + 1); - g.C1f(eps, this._C1a); - this._B11 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C1a); - s = Math.sin(this._B11); c = Math.cos(this._B11); - // tau1 = sig1 + B11 - this._stau1 = this._ssig1 * c + this._csig1 * s; - this._ctau1 = this._csig1 * c - this._ssig1 * s; - // Not necessary because C1pa reverts C1a - // _B11 = -SinCosSeries(true, _stau1, _ctau1, _C1pa); - } - - if (this.caps & g.CAP_C1p) { - this._C1pa = new Array(g.nC1p_ + 1); - g.C1pf(eps, this._C1pa); - } - - if (this.caps & g.CAP_C2) { - this._A2m1 = g.A2m1f(eps); - this._C2a = new Array(g.nC2_ + 1); - g.C2f(eps, this._C2a); - this._B21 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C2a); - } - - if (this.caps & g.CAP_C3) { - this._C3a = new Array(g.nC3_); - geod.C3f(eps, this._C3a); - this._A3c = -this.f * this._salp0 * geod.A3f(eps); - this._B31 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C3a); - } - - if (this.caps & g.CAP_C4) { - this._C4a = new Array(g.nC4_); // all the elements of _C4a are used - geod.C4f(eps, this._C4a); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0) - this._A4 = m.sq(this.a) * this._calp0 * this._salp0 * geod._e2; - this._B41 = g.SinCosSeries(false, this._ssig1, this._csig1, this._C4a); - } - - this.a13 = this.s13 = Number.NaN; - }; - - /** - * @summary Find the position on the line (general case). - * @param {bool} arcmode is the next parameter an arc length? - * @param {number} s12_a12 the (arcmode ? arc length : distance) from the - * first point to the second in (arcmode ? degrees : meters). - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set; s12 is included if arcmode is false. For details on the - * outmask parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - l.GeodesicLine.prototype.GenPosition = function(arcmode, s12_a12, - outmask) { - var vals = {}, - sig12, ssig12, csig12, B12, AB1, ssig2, csig2, tau12, s, c, serr, - omg12, lam12, lon12, E, sbet2, cbet2, somg2, comg2, salp2, calp2, dn2, - B22, AB2, J12, t, B42, salp12, calp12; - if (!outmask) outmask = g.STANDARD; - else if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - outmask &= this.caps & g.OUT_MASK; - vals.lat1 = this.lat1; vals.azi1 = this.azi1; - vals.lon1 = outmask & g.LONG_UNROLL ? - this.lon1 : m.AngNormalize(this.lon1); - if (arcmode) - vals.a12 = s12_a12; - else - vals.s12 = s12_a12; - if (!( arcmode || (this.caps & g.DISTANCE_IN & g.OUT_MASK) )) { - // Uninitialized or impossible distance calculation requested - vals.a12 = Number.NaN; - return vals; - } - - // Avoid warning about uninitialized B12. - B12 = 0; AB1 = 0; - if (arcmode) { - // Interpret s12_a12 as spherical arc length - sig12 = s12_a12 * m.degree; - t = m.sincosd(s12_a12); ssig12 = t.s; csig12 = t.c; - } else { - // Interpret s12_a12 as distance - tau12 = s12_a12 / (this._b * (1 + this._A1m1)); - s = Math.sin(tau12); - c = Math.cos(tau12); - // tau2 = tau1 + tau12 - B12 = -g.SinCosSeries(true, - this._stau1 * c + this._ctau1 * s, - this._ctau1 * c - this._stau1 * s, - this._C1pa); - sig12 = tau12 - (B12 - this._B11); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - if (Math.abs(this.f) > 0.01) { - // Reverted distance series is inaccurate for |f| > 1/100, so correct - // sig12 with 1 Newton iteration. The following table shows the - // approximate maximum error for a = WGS_a() and various f relative to - // GeodesicExact. - // erri = the error in the inverse solution (nm) - // errd = the error in the direct solution (series only) (nm) - // errda = the error in the direct solution - // (series + 1 Newton) (nm) - // - // f erri errd errda - // -1/5 12e6 1.2e9 69e6 - // -1/10 123e3 12e6 765e3 - // -1/20 1110 108e3 7155 - // -1/50 18.63 200.9 27.12 - // -1/100 18.63 23.78 23.37 - // -1/150 18.63 21.05 20.26 - // 1/150 22.35 24.73 25.83 - // 1/100 22.35 25.03 25.31 - // 1/50 29.80 231.9 30.44 - // 1/20 5376 146e3 10e3 - // 1/10 829e3 22e6 1.5e6 - // 1/5 157e6 3.8e9 280e6 - ssig2 = this._ssig1 * csig12 + this._csig1 * ssig12; - csig2 = this._csig1 * csig12 - this._ssig1 * ssig12; - B12 = g.SinCosSeries(true, ssig2, csig2, this._C1a); - serr = (1 + this._A1m1) * (sig12 + (B12 - this._B11)) - - s12_a12 / this._b; - sig12 = sig12 - serr / Math.sqrt(1 + this._k2 * m.sq(ssig2)); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - // Update B12 below - } - } - - // sig2 = sig1 + sig12 - ssig2 = this._ssig1 * csig12 + this._csig1 * ssig12; - csig2 = this._csig1 * csig12 - this._ssig1 * ssig12; - dn2 = Math.sqrt(1 + this._k2 * m.sq(ssig2)); - if (outmask & (g.DISTANCE | g.REDUCEDLENGTH | g.GEODESICSCALE)) { - if (arcmode || Math.abs(this.f) > 0.01) - B12 = g.SinCosSeries(true, ssig2, csig2, this._C1a); - AB1 = (1 + this._A1m1) * (B12 - this._B11); - } - // sin(bet2) = cos(alp0) * sin(sig2) - sbet2 = this._calp0 * ssig2; - // Alt: cbet2 = hypot(csig2, salp0 * ssig2); - cbet2 = m.hypot(this._salp0, this._calp0 * csig2); - if (cbet2 === 0) - // I.e., salp0 = 0, csig2 = 0. Break the degeneracy in this case - cbet2 = csig2 = g.tiny_; - // tan(alp0) = cos(sig2)*tan(alp2) - salp2 = this._salp0; calp2 = this._calp0 * csig2; // No need to normalize - - if (arcmode && (outmask & g.DISTANCE)) - vals.s12 = this._b * ((1 + this._A1m1) * sig12 + AB1); - - if (outmask & g.LONGITUDE) { - // tan(omg2) = sin(alp0) * tan(sig2) - somg2 = this._salp0 * ssig2; comg2 = csig2; // No need to normalize - E = m.copysign(1, this._salp0); - // omg12 = omg2 - omg1 - omg12 = outmask & g.LONG_UNROLL ? - E * (sig12 - - (Math.atan2(ssig2, csig2) - - Math.atan2(this._ssig1, this._csig1)) + - (Math.atan2(E * somg2, comg2) - - Math.atan2(E * this._somg1, this._comg1))) : - Math.atan2(somg2 * this._comg1 - comg2 * this._somg1, - comg2 * this._comg1 + somg2 * this._somg1); - lam12 = omg12 + this._A3c * - ( sig12 + (g.SinCosSeries(true, ssig2, csig2, this._C3a) - - this._B31)); - lon12 = lam12 / m.degree; - vals.lon2 = outmask & g.LONG_UNROLL ? this.lon1 + lon12 : - m.AngNormalize(m.AngNormalize(this.lon1) + m.AngNormalize(lon12)); - } - - if (outmask & g.LATITUDE) - vals.lat2 = m.atan2d(sbet2, this._f1 * cbet2); - - if (outmask & g.AZIMUTH) - vals.azi2 = m.atan2d(salp2, calp2); - - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - B22 = g.SinCosSeries(true, ssig2, csig2, this._C2a); - AB2 = (1 + this._A2m1) * (B22 - this._B21); - J12 = (this._A1m1 - this._A2m1) * sig12 + (AB1 - AB2); - if (outmask & g.REDUCEDLENGTH) - // Add parens around (_csig1 * ssig2) and (_ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - vals.m12 = this._b * (( dn2 * (this._csig1 * ssig2) - - this._dn1 * (this._ssig1 * csig2)) - - this._csig1 * csig2 * J12); - if (outmask & g.GEODESICSCALE) { - t = this._k2 * (ssig2 - this._ssig1) * (ssig2 + this._ssig1) / - (this._dn1 + dn2); - vals.M12 = csig12 + - (t * ssig2 - csig2 * J12) * this._ssig1 / this._dn1; - vals.M21 = csig12 - - (t * this._ssig1 - this._csig1 * J12) * ssig2 / dn2; - } - } - - if (outmask & g.AREA) { - B42 = g.SinCosSeries(false, ssig2, csig2, this._C4a); - if (this._calp0 === 0 || this._salp0 === 0) { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * this.calp1 - calp2 * this.salp1; - calp12 = calp2 * this.calp1 + salp2 * this.salp1; - } else { - // tan(alp) = tan(alp0) * sec(sig) - // tan(alp2-alp1) = (tan(alp2) -tan(alp1)) / (tan(alp2)*tan(alp1)+1) - // = calp0 * salp0 * (csig1-csig2) / (salp0^2 + calp0^2 * csig1*csig2) - // If csig12 > 0, write - // csig1 - csig2 = ssig12 * (csig1 * ssig12 / (1 + csig12) + ssig1) - // else - // csig1 - csig2 = csig1 * (1 - csig12) + ssig12 * ssig1 - // No need to normalize - salp12 = this._calp0 * this._salp0 * - (csig12 <= 0 ? this._csig1 * (1 - csig12) + ssig12 * this._ssig1 : - ssig12 * (this._csig1 * ssig12 / (1 + csig12) + this._ssig1)); - calp12 = m.sq(this._salp0) + m.sq(this._calp0) * this._csig1 * csig2; - } - vals.S12 = this._c2 * Math.atan2(salp12, calp12) + - this._A4 * (B42 - this._B41); - } - - if (!arcmode) - vals.a12 = sig12 / m.degree; - return vals; - }; - - /** - * @summary Find the position on the line given s12. - * @param {number} s12 the distance from the first point to the second in - * meters. - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, s12, and a12 fields of the result are - * always set; s12 is included if arcmode is false. For details on the - * outmask parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - l.GeodesicLine.prototype.Position = function(s12, outmask) { - return this.GenPosition(false, s12, outmask); - }; - - /** - * @summary Find the position on the line given a12. - * @param {number} a12 the arc length from the first point to the second in - * degrees. - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - l.GeodesicLine.prototype.ArcPosition = function(a12, outmask) { - return this.GenPosition(true, a12, outmask); - }; - - /** - * @summary Specify position of point 3 in terms of either distance or arc - * length. - * @param {bool} arcmode boolean flag determining the meaning of the second - * parameter; if arcmode is false, then the GeodesicLine object must have - * been constructed with caps |= DISTANCE_IN. - * @param {number} s13_a13 if arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - */ - l.GeodesicLine.prototype.GenSetDistance = function(arcmode, s13_a13) { - if (arcmode) - this.SetArc(s13_a13); - else - this.SetDistance(s13_a13); - }; - - /** - * @summary Specify position of point 3 in terms distance. - * @param {number} s13 the distance from point 1 to point 3 (meters); it - * can be negative. - */ - l.GeodesicLine.prototype.SetDistance = function(s13) { - var r; - this.s13 = s13; - r = this.GenPosition(false, this.s13, g.ARC); - this.a13 = 0 + r.a12; // the 0+ converts undefined into NaN - }; - - /** - * @summary Specify position of point 3 in terms of arc length. - * @param {number} a13 the arc length from point 1 to point 3 (degrees); - * it can be negative. - */ - l.GeodesicLine.prototype.SetArc = function(a13) { - var r; - this.a13 = a13; - r = this.GenPosition(true, this.a13, g.DISTANCE); - this.s13 = 0 + r.s12; // the 0+ converts undefined into NaN - }; - -})(GeographicLib.Geodesic, GeographicLib.GeodesicLine, GeographicLib.Math); - -/**************** PolygonArea.js ****************/ -/* - * PolygonArea.js - * Transcription of PolygonArea.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER GeographicLib/Math.js and GeographicLib/Geodesic.js - -(function( - /** - * @exports GeographicLib/PolygonArea - * @description Compute the area of geodesic polygons via the - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} - * class. - */ - p, g, m, a) { - - var transit, transitdirect, AreaReduceA, AreaReduceB; - transit = function(lon1, lon2) { - // Return 1 or -1 if crossing prime meridian in east or west direction. - // Otherwise return zero. - var lon12, cross; - // Compute lon12 the same way as Geodesic::Inverse. - lon1 = m.AngNormalize(lon1); - lon2 = m.AngNormalize(lon2); - lon12 = m.AngDiff(lon1, lon2).s; - cross = lon1 <= 0 && lon2 > 0 && lon12 > 0 ? 1 : - (lon2 <= 0 && lon1 > 0 && lon12 < 0 ? -1 : 0); - return cross; - }; - - // an alternate version of transit to deal with longitudes in the direct - // problem. - transitdirect = function(lon1, lon2) { - // We want to compute exactly - // int(ceil(lon2 / 360)) - int(ceil(lon1 / 360)) - // Since we only need the parity of the result we can use std::remquo but - // this is buggy with g++ 4.8.3 and requires C++11. So instead we do - lon1 = lon1 % 720.0; lon2 = lon2 % 720.0; - return ( ((lon2 <= 0 && lon2 > -360) || lon2 > 360 ? 1 : 0) - - ((lon1 <= 0 && lon1 > -360) || lon1 > 360 ? 1 : 0) ); - }; - - // Reduce Accumulator area - AreaReduceA = function(area, area0, crossings, reverse, sign) { - area.Remainder(area0); - if (crossings & 1) - area.Add( (area.Sum() < 0 ? 1 : -1) * area0/2 ); - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area.Negate(); - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area.Sum() > area0/2) - area.Add( -area0 ); - else if (area.Sum() <= -area0/2) - area.Add( +area0 ); - } else { - if (area.Sum() >= area0) - area.Add( -area0 ); - else if (area.Sum() < 0) - area.Add( +area0 ); - } - return 0 + area.Sum(); - }; - - // Reduce double area - AreaReduceB = function(area, area0, crossings, reverse, sign) { - area = m.remainder(area, area0); - if (crossings & 1) - area += (area < 0 ? 1 : -1) * area0/2; - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area *= -1; - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area > area0/2) - area -= area0; - else if (area <= -area0/2) - area += area0; - } else { - if (area >= area0) - area -= area0; - else if (area < 0) - area += area0; - } - return 0 + area; - }; - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @property {bool} polyline whether the PolygonArea object describes a - * polyline or a polygon. - * @property {number} num the number of vertices so far. - * @property {number} lat the current latitude (degrees). - * @property {number} lon the current longitude (degrees). - * @summary Initialize a PolygonArea object. - * @classdesc Computes the area and perimeter of a geodesic polygon. - * This object is usually instantiated by - * {@link module:GeographicLib/Geodesic.Geodesic#Polygon Geodesic.Polygon}. - * @param {object} geod a {@link module:GeographicLib/Geodesic.Geodesic - * Geodesic} object. - * @param {bool} [polyline = false] if true the new PolygonArea object - * describes a polyline instead of a polygon. - */ - p.PolygonArea = function(geod, polyline) { - this._geod = geod; - this.a = this._geod.a; - this.f = this._geod.f; - this._area0 = 4 * Math.PI * geod._c2; - this.polyline = !polyline ? false : polyline; - this._mask = g.LATITUDE | g.LONGITUDE | g.DISTANCE | - (this.polyline ? g.NONE : g.AREA | g.LONG_UNROLL); - if (!this.polyline) - this._areasum = new a.Accumulator(0); - this._perimetersum = new a.Accumulator(0); - this.Clear(); - }; - - /** - * @summary Clear the PolygonArea object, setting the number of vertices to - * 0. - */ - p.PolygonArea.prototype.Clear = function() { - this.num = 0; - this._crossings = 0; - if (!this.polyline) - this._areasum.Set(0); - this._perimetersum.Set(0); - this._lat0 = this._lon0 = this.lat = this.lon = Number.NaN; - }; - - /** - * @summary Add the next vertex to the polygon. - * @param {number} lat the latitude of the point (degrees). - * @param {number} lon the longitude of the point (degrees). - * @description This adds an edge from the current vertex to the new vertex. - */ - p.PolygonArea.prototype.AddPoint = function(lat, lon) { - var t; - if (this.num === 0) { - this._lat0 = this.lat = lat; - this._lon0 = this.lon = lon; - } else { - t = this._geod.Inverse(this.lat, this.lon, lat, lon, this._mask); - this._perimetersum.Add(t.s12); - if (!this.polyline) { - this._areasum.Add(t.S12); - this._crossings += transit(this.lon, lon); - } - this.lat = lat; - this.lon = lon; - } - ++this.num; - }; - - /** - * @summary Add the next edge to the polygon. - * @param {number} azi the azimuth at the current the point (degrees). - * @param {number} s the length of the edge (meters). - * @description This specifies the new vertex in terms of the edge from the - * current vertex. - */ - p.PolygonArea.prototype.AddEdge = function(azi, s) { - var t; - if (this.num) { - t = this._geod.Direct(this.lat, this.lon, azi, s, this._mask); - this._perimetersum.Add(s); - if (!this.polyline) { - this._areasum.Add(t.S12); - this._crossings += transitdirect(this.lon, t.lon2); - } - this.lat = t.lat2; - this.lon = t.lon2; - } - ++this.num; - }; - - /** - * @summary Compute the perimeter and area of the polygon. - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description Arbitrarily complex polygons are allowed. In the case of - * self-intersecting polygons the area is accumulated "algebraically", - * e.g., the areas of the 2 loops in a figure-8 polygon will partially - * cancel. If the object is a polygon (and not a polyline), the perimeter - * includes the length of a final edge connecting the current point to the - * initial point. If the object is a polyline, then area is nan. More - * points can be added to the polygon after this call. - */ - p.PolygonArea.prototype.Compute = function(reverse, sign) { - var vals = {number: this.num}, t, tempsum; - if (this.num < 2) { - vals.perimeter = 0; - if (!this.polyline) - vals.area = 0; - return vals; - } - if (this.polyline) { - vals.perimeter = this._perimetersum.Sum(); - return vals; - } - t = this._geod.Inverse(this.lat, this.lon, this._lat0, this._lon0, - this._mask); - vals.perimeter = this._perimetersum.Sum(t.s12); - tempsum = new a.Accumulator(this._areasum); - tempsum.Add(t.S12); - vals.area = AreaReduceA(tempsum, this._area0, - this._crossings + transit(this.lon, this._lon0), - reverse, sign); - return vals; - }; - - /** - * @summary Compute the perimeter and area of the polygon with a tentative - * new vertex. - * @param {number} lat the latitude of the point (degrees). - * @param {number} lon the longitude of the point (degrees). - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description A new vertex is *not* added to the polygon. - */ - p.PolygonArea.prototype.TestPoint = function(lat, lon, reverse, sign) { - var vals = {number: this.num + 1}, t, tempsum, crossings, i; - if (this.num === 0) { - vals.perimeter = 0; - if (!this.polyline) - vals.area = 0; - return vals; - } - vals.perimeter = this._perimetersum.Sum(); - tempsum = this.polyline ? 0 : this._areasum.Sum(); - crossings = this._crossings; - for (i = 0; i < (this.polyline ? 1 : 2); ++i) { - t = this._geod.Inverse( - i === 0 ? this.lat : lat, i === 0 ? this.lon : lon, - i !== 0 ? this._lat0 : lat, i !== 0 ? this._lon0 : lon, - this._mask); - vals.perimeter += t.s12; - if (!this.polyline) { - tempsum += t.S12; - crossings += transit(i === 0 ? this.lon : lon, - i !== 0 ? this._lon0 : lon); - } - } - - if (this.polyline) - return vals; - - vals.area = AreaReduceB(tempsum, this._area0, crossings, reverse, sign); - return vals; - }; - - /** - * @summary Compute the perimeter and area of the polygon with a tentative - * new edge. - * @param {number} azi the azimuth of the edge (degrees). - * @param {number} s the length of the edge (meters). - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description A new vertex is *not* added to the polygon. - */ - p.PolygonArea.prototype.TestEdge = function(azi, s, reverse, sign) { - var vals = {number: this.num ? this.num + 1 : 0}, t, tempsum, crossings; - if (this.num === 0) - return vals; - vals.perimeter = this._perimetersum.Sum() + s; - if (this.polyline) - return vals; - - tempsum = this._areasum.Sum(); - crossings = this._crossings; - t = this._geod.Direct(this.lat, this.lon, azi, s, this._mask); - tempsum += t.S12; - crossings += transitdirect(this.lon, t.lon2); - crossings += transit(t.lon2, this._lon0); - t = this._geod.Inverse(t.lat2, t.lon2, this._lat0, this._lon0, this._mask); - vals.perimeter += t.s12; - tempsum += t.S12; - - vals.area = AreaReduceB(tempsum, this._area0, crossings, reverse, sign); - return vals; - }; - -})(GeographicLib.PolygonArea, GeographicLib.Geodesic, - GeographicLib.Math, GeographicLib.Accumulator); - -/**************** DMS.js ****************/ -/* - * DMS.js - * Transcription of DMS.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -GeographicLib.DMS = {}; - -(function( - /** - * @exports GeographicLib/DMS - * @description Decode/Encode angles expressed as degrees, minutes, and - * seconds. This module defines several constants: - * - hemisphere indicator (returned by - * {@link module:GeographicLib/DMS.Decode Decode}) and a formatting - * indicator (used by - * {@link module:GeographicLib/DMS.Encode Encode}) - * - NONE = 0, no designator and format as plain angle; - * - LATITUDE = 1, a N/S designator and format as latitude; - * - LONGITUDE = 2, an E/W designator and format as longitude; - * - AZIMUTH = 3, format as azimuth; - * - the specification of the trailing component in - * {@link module:GeographicLib/DMS.Encode Encode} - * - DEGREE; - * - MINUTE; - * - SECOND. - */ - d) { - - var lookup, zerofill, internalDecode, numMatch, - hemispheres_ = "SNWE", - signs_ = "-+", - digits_ = "0123456789", - dmsindicators_ = "D'\":", - // dmsindicatorsu_ = "\u00b0\u2032\u2033"; // Unicode variants - dmsindicatorsu_ = "\u00b0'\"", // Use degree symbol - components_ = ["degrees", "minutes", "seconds"]; - lookup = function(s, c) { - return s.indexOf(c.toUpperCase()); - }; - zerofill = function(s, n) { - return String("0000").substr(0, Math.max(0, Math.min(4, n-s.length))) + - s; - }; - d.NONE = 0; - d.LATITUDE = 1; - d.LONGITUDE = 2; - d.AZIMUTH = 3; - d.DEGREE = 0; - d.MINUTE = 1; - d.SECOND = 2; - - /** - * @summary Decode a DMS string. - * @description The interpretation of the string is given in the - * documentation of the corresponding function, Decode(string&, flag&) - * in the {@link - * https://geographiclib.sourceforge.io/html/classGeographicLib_1_1DMS.html - * C++ DMS class} - * @param {string} dms the string. - * @returns {object} r where r.val is the decoded value (degrees) and r.ind - * is a hemisphere designator, one of NONE, LATITUDE, LONGITUDE. - * @throws an error if the string is illegal. - */ - d.Decode = function(dms) { - var dmsa = dms, end, - v = 0, i = 0, mi, pi, vals, - ind1 = d.NONE, ind2, p, pa, pb; - dmsa = dmsa - .replace(/\u2212/g, '-') // U+2212 minus sign - .replace(/\u00b0/g, 'd') // U+00b0 degree symbol - .replace(/\u00ba/g, 'd') // U+00ba alt symbol - .replace(/\u2070/g, 'd') // U+2070 sup zero - .replace(/\u02da/g, 'd') // U+02da ring above - .replace(/\u2032/g, '\'') // U+2032 prime - .replace(/\u00b4/g, '\'') // U+00b4 acute accent - .replace(/\u2019/g, '\'') // U+2019 right single quote - .replace(/\u2033/g, '"') // U+2033 double prime - .replace(/\u201d/g, '"') // U+201d right double quote - .replace(/\u00a0/g, '') // U+00a0 non-breaking space - .replace(/\u202f/g, '') // U+202f narrow space - .replace(/\u2007/g, '') // U+2007 figure space - .replace(/''/g, '"') // '' -> " - .trim(); - - end = dmsa.length; - // p is pointer to the next piece that needs decoding - for (p = 0; p < end; p = pb, ++i) { - pa = p; - // Skip over initial hemisphere letter (for i == 0) - if (i === 0 && lookup(hemispheres_, dmsa.charAt(pa)) >= 0) - ++pa; - // Skip over initial sign (checking for it if i == 0) - if (i > 0 || (pa < end && lookup(signs_, dmsa.charAt(pa)) >= 0)) - ++pa; - // Find next sign - mi = dmsa.substr(pa, end - pa).indexOf('-'); - pi = dmsa.substr(pa, end - pa).indexOf('+'); - if (mi < 0) mi = end; else mi += pa; - if (pi < 0) pi = end; else pi += pa; - pb = Math.min(mi, pi); - vals = internalDecode(dmsa.substr(p, pb - p)); - v += vals.val; ind2 = vals.ind; - if (ind1 === d.NONE) - ind1 = ind2; - else if (!(ind2 === d.NONE || ind1 === ind2)) - throw new Error("Incompatible hemisphere specifies in " + - dmsa.substr(0, pb)); - } - if (i === 0) - throw new Error("Empty or incomplete DMS string " + dmsa); - return {val: v, ind: ind1}; - }; - - internalDecode = function(dmsa) { - var vals = {}, errormsg = "", - sign, beg, end, ind1, k, - ipieces, fpieces, npiece, - icurrent, fcurrent, ncurrent, p, - pointseen, - digcount, intcount, - x; - do { // Executed once (provides the ability to break) - sign = 1; - beg = 0; end = dmsa.length; - ind1 = d.NONE; - k = -1; - if (end > beg && (k = lookup(hemispheres_, dmsa.charAt(beg))) >= 0) { - ind1 = (k & 2) ? d.LONGITUDE : d.LATITUDE; - sign = (k & 1) ? 1 : -1; - ++beg; - } - if (end > beg && - (k = lookup(hemispheres_, dmsa.charAt(end-1))) >= 0) { - if (k >= 0) { - if (ind1 !== d.NONE) { - if (dmsa.charAt(beg - 1).toUpperCase() === - dmsa.charAt(end - 1).toUpperCase()) - errormsg = "Repeated hemisphere indicators " + - dmsa.charAt(beg - 1) + " in " + - dmsa.substr(beg - 1, end - beg + 1); - else - errormsg = "Contradictory hemisphere indicators " + - dmsa.charAt(beg - 1) + " and " + dmsa.charAt(end - 1) + " in " + - dmsa.substr(beg - 1, end - beg + 1); - break; - } - ind1 = (k & 2) ? d.LONGITUDE : d.LATITUDE; - sign = (k & 1) ? 1 : -1; - --end; - } - } - if (end > beg && (k = lookup(signs_, dmsa.charAt(beg))) >= 0) { - if (k >= 0) { - sign *= k ? 1 : -1; - ++beg; - } - } - if (end === beg) { - errormsg = "Empty or incomplete DMS string " + dmsa; - break; - } - ipieces = [0, 0, 0]; - fpieces = [0, 0, 0]; - npiece = 0; - icurrent = 0; - fcurrent = 0; - ncurrent = 0; - p = beg; - pointseen = false; - digcount = 0; - intcount = 0; - while (p < end) { - x = dmsa.charAt(p++); - if ((k = lookup(digits_, x)) >= 0) { - ++ncurrent; - if (digcount > 0) { - ++digcount; // Count of decimal digits - } else { - icurrent = 10 * icurrent + k; - ++intcount; - } - } else if (x === '.') { - if (pointseen) { - errormsg = "Multiple decimal points in " + - dmsa.substr(beg, end - beg); - break; - } - pointseen = true; - digcount = 1; - } else if ((k = lookup(dmsindicators_, x)) >= 0) { - if (k >= 3) { - if (p === end) { - errormsg = "Illegal for colon to appear at the end of " + - dmsa.substr(beg, end - beg); - break; - } - k = npiece; - } - if (k === npiece - 1) { - errormsg = "Repeated " + components_[k] + - " component in " + dmsa.substr(beg, end - beg); - break; - } else if (k < npiece) { - errormsg = components_[k] + " component follows " + - components_[npiece - 1] + " component in " + - dmsa.substr(beg, end - beg); - break; - } - if (ncurrent === 0) { - errormsg = "Missing numbers in " + components_[k] + - " component of " + dmsa.substr(beg, end - beg); - break; - } - if (digcount > 0) { - fcurrent = parseFloat(dmsa.substr(p - intcount - digcount - 1, - intcount + digcount)); - icurrent = 0; - } - ipieces[k] = icurrent; - fpieces[k] = icurrent + fcurrent; - if (p < end) { - npiece = k + 1; - icurrent = fcurrent = 0; - ncurrent = digcount = intcount = 0; - } - } else if (lookup(signs_, x) >= 0) { - errormsg = "Internal sign in DMS string " + - dmsa.substr(beg, end - beg); - break; - } else { - errormsg = "Illegal character " + x + " in DMS string " + - dmsa.substr(beg, end - beg); - break; - } - } - if (errormsg.length) - break; - if (lookup(dmsindicators_, dmsa.charAt(p - 1)) < 0) { - if (npiece >= 3) { - errormsg = "Extra text following seconds in DMS string " + - dmsa.substr(beg, end - beg); - break; - } - if (ncurrent === 0) { - errormsg = "Missing numbers in trailing component of " + - dmsa.substr(beg, end - beg); - break; - } - if (digcount > 0) { - fcurrent = parseFloat(dmsa.substr(p - intcount - digcount, - intcount + digcount)); - icurrent = 0; - } - ipieces[npiece] = icurrent; - fpieces[npiece] = icurrent + fcurrent; - } - if (pointseen && digcount === 0) { - errormsg = "Decimal point in non-terminal component of " + - dmsa.substr(beg, end - beg); - break; - } - // Note that we accept 59.999999... even though it rounds to 60. - if (ipieces[1] >= 60 || fpieces[1] > 60) { - errormsg = "Minutes " + fpieces[1] + " not in range [0,60)"; - break; - } - if (ipieces[2] >= 60 || fpieces[2] > 60) { - errormsg = "Seconds " + fpieces[2] + " not in range [0,60)"; - break; - } - vals.ind = ind1; - // Assume check on range of result is made by calling routine (which - // might be able to offer a better diagnostic). - vals.val = sign * - ( fpieces[2] ? (60*(60*fpieces[0] + fpieces[1]) + fpieces[2]) / 3600 : - ( fpieces[1] ? (60*fpieces[0] + fpieces[1]) / 60 : fpieces[0] ) ); - return vals; - } while (false); - vals.val = numMatch(dmsa); - if (vals.val === 0) - throw new Error(errormsg); - else - vals.ind = d.NONE; - return vals; - }; - - numMatch = function(s) { - var t, sign, p0, p1; - if (s.length < 3) - return 0; - t = s.toUpperCase().replace(/0+$/, ""); - sign = t.charAt(0) === '-' ? -1 : 1; - p0 = t.charAt(0) === '-' || t.charAt(0) === '+' ? 1 : 0; - p1 = t.length - 1; - if (p1 + 1 < p0 + 3) - return 0; - // Strip off sign and trailing 0s - t = t.substr(p0, p1 + 1 - p0); // Length at least 3 - if (t === "NAN" || t === "1.#QNAN" || t === "1.#SNAN" || t === "1.#IND" || - t === "1.#R") - return Number.NaN; - else if (t === "INF" || t === "1.#INF") - return sign * Number.POSITIVE_INFINITY; - return 0; - }; - - /** - * @summary Decode two DMS strings interpreting them as a latitude/longitude - * pair. - * @param {string} stra the first string. - * @param {string} strb the first string. - * @param {bool} [longfirst = false] if true assume then longitude is given - * first (in the absence of any hemisphere indicators). - * @returns {object} r where r.lat is the decoded latitude and r.lon is the - * decoded longitude (both in degrees). - * @throws an error if the strings are illegal. - */ - d.DecodeLatLon = function(stra, strb, longfirst) { - var vals = {}, - valsa = d.Decode(stra), - valsb = d.Decode(strb), - a = valsa.val, ia = valsa.ind, - b = valsb.val, ib = valsb.ind, - lat, lon; - if (!longfirst) longfirst = false; - if (ia === d.NONE && ib === d.NONE) { - // Default to lat, long unless longfirst - ia = longfirst ? d.LONGITUDE : d.LATITUDE; - ib = longfirst ? d.LATITUDE : d.LONGITUDE; - } else if (ia === d.NONE) - ia = d.LATITUDE + d.LONGITUDE - ib; - else if (ib === d.NONE) - ib = d.LATITUDE + d.LONGITUDE - ia; - if (ia === ib) - throw new Error("Both " + stra + " and " + strb + " interpreted as " + - (ia === d.LATITUDE ? "latitudes" : "longitudes")); - lat = ia === d.LATITUDE ? a : b; - lon = ia === d.LATITUDE ? b : a; - if (Math.abs(lat) > 90) - throw new Error("Latitude " + lat + " not in [-90,90]"); - vals.lat = lat; - vals.lon = lon; - return vals; - }; - - /** - * @summary Decode a DMS string interpreting it as an arc length. - * @param {string} angstr the string (this must not include a hemisphere - * indicator). - * @returns {number} the arc length (degrees). - * @throws an error if the string is illegal. - */ - d.DecodeAngle = function(angstr) { - var vals = d.Decode(angstr), - ang = vals.val, ind = vals.ind; - if (ind !== d.NONE) - throw new Error("Arc angle " + angstr + - " includes a hemisphere N/E/W/S"); - return ang; - }; - - /** - * @summary Decode a DMS string interpreting it as an azimuth. - * @param {string} azistr the string (this may include an E/W hemisphere - * indicator). - * @returns {number} the azimuth (degrees). - * @throws an error if the string is illegal. - */ - d.DecodeAzimuth = function(azistr) { - var vals = d.Decode(azistr), - azi = vals.val, ind = vals.ind; - if (ind === d.LATITUDE) - throw new Error("Azimuth " + azistr + " has a latitude hemisphere N/S"); - return azi; - }; - - /** - * @summary Convert angle (in degrees) into a DMS string (using °, ', - * and "). - * @param {number} angle input angle (degrees). - * @param {number} trailing one of DEGREE, MINUTE, or SECOND to indicate - * the trailing component of the string (this component is given as a - * decimal number if necessary). - * @param {number} prec the number of digits after the decimal point for - * the trailing component. - * @param {number} [ind = NONE] a formatting indicator, one of NONE, - * LATITUDE, LONGITUDE, AZIMUTH. - * @returns {string} the resulting string formatted as follows: - * * NONE, signed result no leading zeros on degrees except in the units - * place, e.g., -8°03'. - * * LATITUDE, trailing N or S hemisphere designator, no sign, pad - * degrees to 2 digits, e.g., 08°03'S. - * * LONGITUDE, trailing E or W hemisphere designator, no sign, pad - * degrees to 3 digits, e.g., 008°03'W. - * * AZIMUTH, convert to the range [0, 360°), no sign, pad degrees to - * 3 digits, e.g., 351°57'. - */ - d.Encode = function(angle, trailing, prec, ind) { - // Assume check on range of input angle has been made by calling - // routine (which might be able to offer a better diagnostic). - var scale = 1, i, sign, - idegree, fdegree, f, pieces, ip, fp, s; - if (!ind) ind = d.NONE; - if (!isFinite(angle)) - return angle < 0 ? String("-inf") : - (angle > 0 ? String("inf") : String("nan")); - - // 15 - 2 * trailing = ceiling(log10(2^53/90/60^trailing)). - // This suffices to give full real precision for numbers in [-90,90] - prec = Math.min(15 - 2 * trailing, prec); - for (i = 0; i < trailing; ++i) - scale *= 60; - for (i = 0; i < prec; ++i) - scale *= 10; - if (ind === d.AZIMUTH) - angle -= Math.floor(angle/360) * 360; - sign = angle < 0 ? -1 : 1; - angle *= sign; - - // Break off integer part to preserve precision in manipulation of - // fractional part. - idegree = Math.floor(angle); - fdegree = (angle - idegree) * scale + 0.5; - f = Math.floor(fdegree); - // Implement the "round ties to even" rule - fdegree = (f === fdegree && (f & 1) === 1) ? f - 1 : f; - fdegree /= scale; - - fdegree = Math.floor((angle - idegree) * scale + 0.5) / scale; - if (fdegree >= 1) { - idegree += 1; - fdegree -= 1; - } - pieces = [fdegree, 0, 0]; - for (i = 1; i <= trailing; ++i) { - ip = Math.floor(pieces[i - 1]); - fp = pieces[i - 1] - ip; - pieces[i] = fp * 60; - pieces[i - 1] = ip; - } - pieces[0] += idegree; - s = ""; - if (ind === d.NONE && sign < 0) - s += '-'; - switch (trailing) { - case d.DEGREE: - s += zerofill(pieces[0].toFixed(prec), - ind === d.NONE ? 0 : - 1 + Math.min(ind, 2) + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(0); - break; - default: - s += zerofill(pieces[0].toFixed(0), - ind === d.NONE ? 0 : 1 + Math.min(ind, 2)) + - dmsindicatorsu_.charAt(0); - switch (trailing) { - case d.MINUTE: - s += zerofill(pieces[1].toFixed(prec), 2 + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(1); - break; - case d.SECOND: - s += zerofill(pieces[1].toFixed(0), 2) + dmsindicatorsu_.charAt(1); - s += zerofill(pieces[2].toFixed(prec), 2 + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(2); - break; - default: - break; - } - } - if (ind !== d.NONE && ind !== d.AZIMUTH) - s += hemispheres_.charAt((ind === d.LATITUDE ? 0 : 2) + - (sign < 0 ? 0 : 1)); - return s; - }; -})(GeographicLib.DMS); - -cb(GeographicLib); - -})(function(geo) { - if (typeof module === 'object' && module.exports) { - /******** support loading with node's require ********/ - module.exports = geo; - } else if (typeof define === 'function' && define.amd) { - /******** support loading with AMD ********/ - define('geographiclib', [], function() { return geo; }); - } else { - /******** otherwise just pollute our global namespace ********/ - window.GeographicLib = geo; - } -}); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib.min.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib.min.js deleted file mode 100644 index 1e0202b84ef5eb38e7c05efd5dfd795deb9ec4a8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib.min.js +++ /dev/null @@ -1,1731 +0,0 @@ -/* - * Geodesic routines from GeographicLib translated to JavaScript. See - * https://geographiclib.sourceforge.io/html/js/ - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013), - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * This file is the concatenation and compression of the JavaScript files in - * doc/scripts/GeographicLib in the source tree for GeographicLib. - * - * Copyright (c) Charles Karney (2011-2015) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - * - * Version: 1.50 - * File inventory: - * Math.js Geodesic.js GeodesicLine.js PolygonArea.js DMS.js - */ -(function(cb){ -// Math.js -"use strict"; -var GeographicLib={}; -GeographicLib.Constants={}; -GeographicLib.Math={}; -GeographicLib.Accumulator={}; -(function( -c){ -c.WGS84={a:6378137,f:1/298.257223563}; -c.version={major:1,minor:50,patch:0}; -c.version_string="1.50"; -})(GeographicLib.Constants); -(function( -m){ -m.digits=53; -m.epsilon=Math.pow(0.5,m.digits-1); -m.degree=Math.PI/180; -m.sq=function(x){return x*x;}; -m.hypot=Math.hypot||function(x,y){ -var a,b; -x=Math.abs(x); -y=Math.abs(y); -a=Math.max(x,y);b=Math.min(x,y)/(a?a:1); -return a*Math.sqrt(1+b*b); -}; -m.cbrt=Math.cbrt||function(x){ -var y=Math.pow(Math.abs(x),1/3); -return x>0?y:(x<0?-y:x); -}; -m.log1p=Math.log1p||function(x){ -var y=1+x, -z=y-1; -return z===0?x:x*Math.log(y)/z; -}; -m.atanh=Math.atanh||function(x){ -var y=Math.abs(x); -y=m.log1p(2*y/(1-y))/2; -return x>0?y:(x<0?-y:x); -}; -m.copysign=function(x,y){ -return Math.abs(x)*(y<0||(y===0&&1/y<0)?-1:1); -}; -m.sum=function(u,v){ -var s=u+v, -up=s-v, -vpp=s-up, -t; -up-=u; -vpp-=v; -t=-(up+vpp); -return{s:s,t:t}; -}; -m.polyval=function(N,p,s,x){ -var y=N<0?0:p[s++]; -while(--N>=0)y=y*x+p[s++]; -return y; -}; -m.AngRound=function(x){ -if(x===0)return x; -var z=1/16, -y=Math.abs(x); -y=y90?Number.NaN:x; -}; -m.AngDiff=function(x,y){ -var r=m.sum(m.AngNormalize(-x),m.AngNormalize(y)), -d=m.AngNormalize(r.s), -t=r.t; -return m.sum(d===180&&t>0?-180:d,t); -}; -m.sincosd=function(x){ -var r,q,s,c,sinx,cosx; -r=x%360; -q=0+Math.round(r/90); -r-=90*q; -r*=this.degree; -s=Math.sin(r);c=Math.cos(r); -switch(q&3){ -case 0:sinx=s;cosx=c;break; -case 1:sinx=c;cosx=-s;break; -case 2:sinx=-s;cosx=-c;break; -default:sinx=-c;cosx=s;break; -} -if(x!==0){sinx+=0;cosx+=0;} -return{s:sinx,c:cosx}; -}; -m.atan2d=function(y,x){ -var q=0,t,ang; -if(Math.abs(y)>Math.abs(x)){t=x;x=y;y=t;q=2;} -if(x<0){x=-x;++q;} -ang=Math.atan2(y,x)/this.degree; -switch(q){ -case 1:ang=(y>=0?180:-180)-ang;break; -case 2:ang=90-ang;break; -case 3:ang=-90+ang;break; -} -return ang; -}; -})(GeographicLib.Math); -(function( -a,m){ -a.Accumulator=function(y){ -this.Set(y); -}; -a.Accumulator.prototype.Set=function(y){ -if(!y)y=0; -if(y.constructor===a.Accumulator){ -this._s=y._s; -this._t=y._t; -}else{ -this._s=y; -this._t=0; -} -}; -a.Accumulator.prototype.Add=function(y){ -var u=m.sum(y,this._t), -v=m.sum(u.s,this._s); -u=u.t; -this._s=v.s; -this._t=v.t; -if(this._s===0) -this._s=u; -else -this._t+=u; -}; -a.Accumulator.prototype.Sum=function(y){ -var b; -if(!y) -return this._s; -else{ -b=new a.Accumulator(this); -b.Add(y); -return b._s; -} -}; -a.Accumulator.prototype.Negate=function(){ -this._s*=-1; -this._t*=-1; -}; -a.Accumulator.prototype.Remainder=function(y){ -this._s=m.remainder(this._s,y); -this.Add(0); -}; -})(GeographicLib.Accumulator,GeographicLib.Math); -// Geodesic.js -GeographicLib.Geodesic={}; -GeographicLib.GeodesicLine={}; -GeographicLib.PolygonArea={}; -(function( -g,l,p,m,c){ -var GEOGRAPHICLIB_GEODESIC_ORDER=6, -nA1_=GEOGRAPHICLIB_GEODESIC_ORDER, -nA2_=GEOGRAPHICLIB_GEODESIC_ORDER, -nA3_=GEOGRAPHICLIB_GEODESIC_ORDER, -nA3x_=nA3_, -nC3x_,nC4x_, -maxit1_=20, -maxit2_=maxit1_+m.digits+10, -tol0_=m.epsilon, -tol1_=200*tol0_, -tol2_=Math.sqrt(tol0_), -tolb_=tol0_*tol1_, -xthresh_=1000*tol2_, -CAP_NONE=0, -CAP_ALL=0x1F, -CAP_MASK=CAP_ALL, -OUT_ALL=0x7F80, -astroid, -A1m1f_coeff,C1f_coeff,C1pf_coeff, -A2m1f_coeff,C2f_coeff, -A3_coeff,C3_coeff,C4_coeff; -g.tiny_=Math.sqrt(Number.MIN_VALUE); -g.nC1_=GEOGRAPHICLIB_GEODESIC_ORDER; -g.nC1p_=GEOGRAPHICLIB_GEODESIC_ORDER; -g.nC2_=GEOGRAPHICLIB_GEODESIC_ORDER; -g.nC3_=GEOGRAPHICLIB_GEODESIC_ORDER; -g.nC4_=GEOGRAPHICLIB_GEODESIC_ORDER; -nC3x_=(g.nC3_*(g.nC3_-1))/2; -nC4x_=(g.nC4_*(g.nC4_+1))/2; -g.CAP_C1=1<<0; -g.CAP_C1p=1<<1; -g.CAP_C2=1<<2; -g.CAP_C3=1<<3; -g.CAP_C4=1<<4; -g.NONE=0; -g.ARC=1<<6; -g.LATITUDE=1<<7|CAP_NONE; -g.LONGITUDE=1<<8|g.CAP_C3; -g.AZIMUTH=1<<9|CAP_NONE; -g.DISTANCE=1<<10|g.CAP_C1; -g.STANDARD=g.LATITUDE|g.LONGITUDE|g.AZIMUTH|g.DISTANCE; -g.DISTANCE_IN=1<<11|g.CAP_C1|g.CAP_C1p; -g.REDUCEDLENGTH=1<<12|g.CAP_C1|g.CAP_C2; -g.GEODESICSCALE=1<<13|g.CAP_C1|g.CAP_C2; -g.AREA=1<<14|g.CAP_C4; -g.ALL=OUT_ALL|CAP_ALL; -g.LONG_UNROLL=1<<15; -g.OUT_MASK=OUT_ALL|g.LONG_UNROLL; -g.SinCosSeries=function(sinp,sinx,cosx,c){ -var k=c.length, -n=k-(sinp?1:0), -ar=2*(cosx-sinx)*(cosx+sinx), -y0=n&1?c[--k]:0,y1=0; -n=Math.floor(n/2); -while(n--){ -y1=ar*y0-y1+c[--k]; -y0=ar*y1-y0+c[--k]; -} -return(sinp?2*sinx*cosx*y0: -cosx*(y0-y1)); -}; -astroid=function(x,y){ -var k, -p=m.sq(x), -q=m.sq(y), -r=(p+q-1)/6, -S,r2,r3,disc,u,T3,T,ang,v,uv,w; -if(!(q===0&&r<=0)){ -S=p*q/4; -r2=m.sq(r); -r3=r*r2; -disc=S*(S+2*r3); -u=r; -if(disc>=0){ -T3=S+r3; -T3+=T3<0?-Math.sqrt(disc):Math.sqrt(disc); -T=m.cbrt(T3); -u+=T+(T!==0?r2/T:0); -}else{ -ang=Math.atan2(Math.sqrt(-disc),-(S+r3)); -u+=2*r*Math.cos(ang/3); -} -v=Math.sqrt(m.sq(u)+q); -uv=u<0?q/(v-u):u+v; -w=(uv-q)/(2*v); -k=uv/(Math.sqrt(uv+m.sq(w))+w); -}else{ -k=0; -} -return k; -}; -A1m1f_coeff=[ -+1,4,64,0,256 -]; -g.A1m1f=function(eps){ -var p=Math.floor(nA1_/2), -t=m.polyval(p,A1m1f_coeff,0,m.sq(eps))/A1m1f_coeff[p+1]; -return(t+eps)/(1-eps); -}; -C1f_coeff=[ --1,6,-16,32, --9,64,-128,2048, -+9,-16,768, -+3,-5,512, --7,1280, --7,2048 -]; -g.C1f=function(eps,c){ -var eps2=m.sq(eps), -d=eps, -o=0, -l,p; -for(l=1;l<=g.nC1_;++l){ -p=Math.floor((g.nC1_-l)/2); -c[l]=d*m.polyval(p,C1f_coeff,o,eps2)/C1f_coeff[o+p+1]; -o+=p+2; -d*=eps; -} -}; -C1pf_coeff=[ -+205,-432,768,1536, -+4005,-4736,3840,12288, --225,116,384, --7173,2695,7680, -+3467,7680, -+38081,61440 -]; -g.C1pf=function(eps,c){ -var eps2=m.sq(eps), -d=eps, -o=0, -l,p; -for(l=1;l<=g.nC1p_;++l){ -p=Math.floor((g.nC1p_-l)/2); -c[l]=d*m.polyval(p,C1pf_coeff,o,eps2)/C1pf_coeff[o+p+1]; -o+=p+2; -d*=eps; -} -}; -A2m1f_coeff=[ --11,-28,-192,0,256 -]; -g.A2m1f=function(eps){ -var p=Math.floor(nA2_/2), -t=m.polyval(p,A2m1f_coeff,0,m.sq(eps))/A2m1f_coeff[p+1]; -return(t-eps)/(1+eps); -}; -C2f_coeff=[ -+1,2,16,32, -+35,64,384,2048, -+15,80,768, -+7,35,512, -+63,1280, -+77,2048 -]; -g.C2f=function(eps,c){ -var eps2=m.sq(eps), -d=eps, -o=0, -l,p; -for(l=1;l<=g.nC2_;++l){ -p=Math.floor((g.nC2_-l)/2); -c[l]=d*m.polyval(p,C2f_coeff,o,eps2)/C2f_coeff[o+p+1]; -o+=p+2; -d*=eps; -} -}; -g.Geodesic=function(a,f){ -this.a=a; -this.f=f; -this._f1=1-this.f; -this._e2=this.f*(2-this.f); -this._ep2=this._e2/m.sq(this._f1); -this._n=this.f/(2-this.f); -this._b=this.a*this._f1; -this._c2=(m.sq(this.a)+m.sq(this._b)* -(this._e2===0?1: -(this._e2>0?m.atanh(Math.sqrt(this._e2)): -Math.atan(Math.sqrt(-this._e2)))/ -Math.sqrt(Math.abs(this._e2))))/2; -this._etol2=0.1*tol2_/ -Math.sqrt(Math.max(0.001,Math.abs(this.f))* -Math.min(1.0,1-this.f/2)/2); -if(!(isFinite(this.a)&&this.a>0)) -throw new Error("Equatorial radius is not positive"); -if(!(isFinite(this._b)&&this._b>0)) -throw new Error("Polar semi-axis is not positive"); -this._A3x=new Array(nA3x_); -this._C3x=new Array(nC3x_); -this._C4x=new Array(nC4x_); -this.A3coeff(); -this.C3coeff(); -this.C4coeff(); -}; -A3_coeff=[ --3,128, --2,-3,64, --1,-3,-1,16, -+3,-1,-2,8, -+1,-1,2, -+1,1 -]; -g.Geodesic.prototype.A3coeff=function(){ -var o=0,k=0, -j,p; -for(j=nA3_-1;j>=0;--j){ -p=Math.min(nA3_-j-1,j); -this._A3x[k++]=m.polyval(p,A3_coeff,o,this._n)/ -A3_coeff[o+p+1]; -o+=p+2; -} -}; -C3_coeff=[ -+3,128, -+2,5,128, --1,3,3,64, --1,0,1,8, --1,1,4, -+5,256, -+1,3,128, --3,-2,3,64, -+1,-3,2,32, -+7,512, --10,9,384, -+5,-9,5,192, -+7,512, --14,7,512, -+21,2560 -]; -g.Geodesic.prototype.C3coeff=function(){ -var o=0,k=0, -l,j,p; -for(l=1;l=l;--j){ -p=Math.min(g.nC3_-j-1,j); -this._C3x[k++]=m.polyval(p,C3_coeff,o,this._n)/ -C3_coeff[o+p+1]; -o+=p+2; -} -} -}; -C4_coeff=[ -+97,15015, -+1088,156,45045, --224,-4784,1573,45045, --10656,14144,-4576,-858,45045, -+64,624,-4576,6864,-3003,15015, -+100,208,572,3432,-12012,30030,45045, -+1,9009, --2944,468,135135, -+5792,1040,-1287,135135, -+5952,-11648,9152,-2574,135135, --64,-624,4576,-6864,3003,135135, -+8,10725, -+1856,-936,225225, --8448,4992,-1144,225225, --1440,4160,-4576,1716,225225, --136,63063, -+1024,-208,105105, -+3584,-3328,1144,315315, --128,135135, --2560,832,405405, -+128,99099 -]; -g.Geodesic.prototype.C4coeff=function(){ -var o=0,k=0, -l,j,p; -for(l=0;l=l;--j){ -p=g.nC4_-j-1; -this._C4x[k++]=m.polyval(p,C4_coeff,o,this._n)/ -C4_coeff[o+p+1]; -o+=p+2; -} -} -}; -g.Geodesic.prototype.A3f=function(eps){ -return m.polyval(nA3x_-1,this._A3x,0,eps); -}; -g.Geodesic.prototype.C3f=function(eps,c){ -var mult=1, -o=0, -l,p; -for(l=1;l=0&&sbet12<0.5&&cbet2*lam12<0.5; -if(shortline){ -sbetm2=m.sq(sbet1+sbet2); -sbetm2/=sbetm2+m.sq(cbet1+cbet2); -vals.dnm=Math.sqrt(1+this._ep2*sbetm2); -omg12=lam12/(this._f1*vals.dnm); -somg12=Math.sin(omg12);comg12=Math.cos(omg12); -}else{ -somg12=slam12;comg12=clam12; -} -vals.salp1=cbet2*somg12; -vals.calp1=comg12>=0? -sbet12+cbet2*sbet1*m.sq(somg12)/(1+comg12): -sbet12a-cbet2*sbet1*m.sq(somg12)/(1-comg12); -ssig12=m.hypot(vals.salp1,vals.calp1); -csig12=sbet1*sbet2+cbet1*cbet2*comg12; -if(shortline&&ssig12=0?m.sq(somg12)/(1+comg12):1-comg12); -t=m.hypot(vals.salp2,vals.calp2);vals.salp2/=t;vals.calp2/=t; -vals.sig12=Math.atan2(ssig12,csig12); -}else if(Math.abs(this._n)>0.1|| -csig12>=0|| -ssig12>=6*Math.abs(this._n)*Math.PI*m.sq(cbet1)){ -}else{ -lam12x=Math.atan2(-slam12,-clam12); -if(this.f>=0){ -k2=m.sq(sbet1)*this._ep2; -eps=k2/(2*(1+Math.sqrt(1+k2))+k2); -lamscale=this.f*cbet1*this.A3f(eps)*Math.PI; -betscale=lamscale*cbet1; -x=lam12x/lamscale; -y=sbet12a/betscale; -}else{ -cbet12a=cbet2*cbet1-sbet2*sbet1; -bet12a=Math.atan2(sbet12a,cbet12a); -nvals=this.Lengths(this._n,Math.PI+bet12a, -sbet1,-cbet1,dn1,sbet2,cbet2,dn2, -cbet1,cbet2,g.REDUCEDLENGTH,C1a,C2a); -m12b=nvals.m12b;m0=nvals.m0; -x=-1+m12b/(cbet1*cbet2*m0*Math.PI); -betscale=x<-0.01?sbet12a/x: --this.f*m.sq(cbet1)*Math.PI; -lamscale=betscale/cbet1; -y=lam12/lamscale; -} -if(y>-tol1_&&x>-1-xthresh_){ -if(this.f>=0){ -vals.salp1=Math.min(1,-x); -vals.calp1=-Math.sqrt(1-m.sq(vals.salp1)); -}else{ -vals.calp1=Math.max(x>-tol1_?0:-1,x); -vals.salp1=Math.sqrt(1-m.sq(vals.calp1)); -} -}else{ -k=astroid(x,y); -omg12a=lamscale*(this.f>=0?-x*k/(1+k):-y*(1+k)/k); -somg12=Math.sin(omg12a);comg12=-Math.cos(omg12a); -vals.salp1=cbet2*somg12; -vals.calp1=sbet12a- -cbet2*sbet1*m.sq(somg12)/(1-comg12); -} -} -if(!(vals.salp1<=0.0)){ -t=m.hypot(vals.salp1,vals.calp1);vals.salp1/=t;vals.calp1/=t; -}else{ -vals.salp1=1;vals.calp1=0; -} -return vals; -}; -g.Geodesic.prototype.Lambda12=function(sbet1,cbet1,dn1, -sbet2,cbet2,dn2, -salp1,calp1,slam120,clam120, -diffp,C1a,C2a,C3a){ -var vals={}, -t,salp0,calp0, -somg1,comg1,somg2,comg2,somg12,comg12,B312,eta,k2,nvals; -if(sbet1===0&&calp1===0) -calp1=-g.tiny_; -salp0=salp1*cbet1; -calp0=m.hypot(calp1,salp1*sbet1); -vals.ssig1=sbet1;somg1=salp0*sbet1; -vals.csig1=comg1=calp1*cbet1; -t=m.hypot(vals.ssig1,vals.csig1);vals.ssig1/=t;vals.csig1/=t; -vals.salp2=cbet2!==cbet1?salp0/cbet2:salp1; -vals.calp2=cbet2!==cbet1||Math.abs(sbet2)!==-sbet1? -Math.sqrt(m.sq(calp1*cbet1)+(cbet1<-sbet1? -(cbet2-cbet1)*(cbet1+cbet2): -(sbet1-sbet2)*(sbet1+sbet2)))/ -cbet2:Math.abs(calp1); -vals.ssig2=sbet2;somg2=salp0*sbet2; -vals.csig2=comg2=vals.calp2*cbet2; -t=m.hypot(vals.ssig2,vals.csig2);vals.ssig2/=t;vals.csig2/=t; -vals.sig12=Math.atan2(Math.max(0,vals.csig1*vals.ssig2- -vals.ssig1*vals.csig2), -vals.csig1*vals.csig2+ -vals.ssig1*vals.ssig2); -somg12=Math.max(0,comg1*somg2-somg1*comg2); -comg12=comg1*comg2+somg1*somg2; -eta=Math.atan2(somg12*clam120-comg12*slam120, -comg12*clam120+somg12*slam120); -k2=m.sq(calp0)*this._ep2; -vals.eps=k2/(2*(1+Math.sqrt(1+k2))+k2); -this.C3f(vals.eps,C3a); -B312=(g.SinCosSeries(true,vals.ssig2,vals.csig2,C3a)- -g.SinCosSeries(true,vals.ssig1,vals.csig1,C3a)); -vals.domg12=-this.f*this.A3f(vals.eps)*salp0*(vals.sig12+B312); -vals.lam12=eta+vals.domg12; -if(diffp){ -if(vals.calp2===0) -vals.dlam12=-2*this._f1*dn1/sbet1; -else{ -nvals=this.Lengths(vals.eps,vals.sig12, -vals.ssig1,vals.csig1,dn1, -vals.ssig2,vals.csig2,dn2, -cbet1,cbet2,g.REDUCEDLENGTH,C1a,C2a); -vals.dlam12=nvals.m12b; -vals.dlam12*=this._f1/(vals.calp2*cbet2); -} -} -return vals; -}; -g.Geodesic.prototype.Inverse=function(lat1,lon1,lat2,lon2,outmask){ -var r,vals; -if(!outmask)outmask=g.STANDARD; -if(outmask===g.LONG_UNROLL)outmask|=g.STANDARD; -outmask&=g.OUT_MASK; -r=this.InverseInt(lat1,lon1,lat2,lon2,outmask); -vals=r.vals; -if(outmask&g.AZIMUTH){ -vals.azi1=m.atan2d(r.salp1,r.calp1); -vals.azi2=m.atan2d(r.salp2,r.calp2); -} -return vals; -}; -g.Geodesic.prototype.InverseInt=function(lat1,lon1,lat2,lon2,outmask){ -var vals={}, -lon12,lon12s,lonsign,t,swapp,latsign, -sbet1,cbet1,sbet2,cbet2,s12x,m12x, -dn1,dn2,lam12,slam12,clam12, -sig12,calp1,salp1,calp2,salp2,C1a,C2a,C3a,meridian,nvals, -ssig1,csig1,ssig2,csig2,eps,omg12,dnm, -numit,salp1a,calp1a,salp1b,calp1b, -tripn,tripb,v,dv,dalp1,sdalp1,cdalp1,nsalp1, -lengthmask,salp0,calp0,alp12,k2,A4,C4a,B41,B42, -somg12,comg12,domg12,dbet1,dbet2,salp12,calp12,sdomg12,cdomg12; -vals.lat1=lat1=m.LatFix(lat1);vals.lat2=lat2=m.LatFix(lat2); -lat1=m.AngRound(lat1); -lat2=m.AngRound(lat2); -lon12=m.AngDiff(lon1,lon2);lon12s=lon12.t;lon12=lon12.s; -if(outmask&g.LONG_UNROLL){ -vals.lon1=lon1;vals.lon2=(lon1+lon12)+lon12s; -}else{ -vals.lon1=m.AngNormalize(lon1);vals.lon2=m.AngNormalize(lon2); -} -lonsign=lon12>=0?1:-1; -lon12=lonsign*m.AngRound(lon12); -lon12s=m.AngRound((180-lon12)-lonsign*lon12s); -lam12=lon12*m.degree; -t=m.sincosd(lon12>90?lon12s:lon12); -slam12=t.s;clam12=(lon12>90?-1:1)*t.c; -swapp=Math.abs(lat1)=0){ -if(sig12<3*g.tiny_) -sig12=m12x=s12x=0; -m12x*=this._b; -s12x*=this._b; -vals.a12=sig12/m.degree; -}else -meridian=false; -} -somg12=2; -if(!meridian&& -sbet1===0&& -(this.f<=0||lon12s>=this.f*180)){ -calp1=calp2=0;salp1=salp2=1; -s12x=this.a*lam12; -sig12=omg12=lam12/this._f1; -m12x=this._b*Math.sin(sig12); -if(outmask&g.GEODESICSCALE) -vals.M12=vals.M21=Math.cos(sig12); -vals.a12=lon12/this._f1; -}else if(!meridian){ -nvals=this.InverseStart(sbet1,cbet1,dn1,sbet2,cbet2,dn2, -lam12,slam12,clam12,C1a,C2a); -sig12=nvals.sig12; -salp1=nvals.salp1; -calp1=nvals.calp1; -if(sig12>=0){ -salp2=nvals.salp2; -calp2=nvals.calp2; -dnm=nvals.dnm; -s12x=sig12*this._b*dnm; -m12x=m.sq(dnm)*this._b*Math.sin(sig12/dnm); -if(outmask&g.GEODESICSCALE) -vals.M12=vals.M21=Math.cos(sig12/dnm); -vals.a12=sig12/m.degree; -omg12=lam12/(this._f1*dnm); -}else{ -numit=0; -salp1a=g.tiny_;calp1a=1;salp1b=g.tiny_;calp1b=-1; -for(tripn=false,tripb=false;numit=(tripn?8:1)*tol0_)) -break; -if(v>0&&(numitcalp1b/salp1b)){ -salp1b=salp1;calp1b=calp1; -}else if(v<0&& -(numit0){ -dalp1=-v/dv; -sdalp1=Math.sin(dalp1);cdalp1=Math.cos(dalp1); -nsalp1=salp1*cdalp1+calp1*sdalp1; -if(nsalp1>0&&Math.abs(dalp1)1){ -somg12=Math.sin(omg12);comg12=Math.cos(omg12); -} -if(!meridian&& -comg12>-0.7071&& -sbet2-sbet1<1.75){ -domg12=1+comg12;dbet1=1+cbet1;dbet2=1+cbet2; -alp12=2*Math.atan2(somg12*(sbet1*dbet2+sbet2*dbet1), -domg12*(sbet1*sbet2+dbet1*dbet2)); -}else{ -salp12=salp2*calp1-calp2*salp1; -calp12=calp2*calp1+salp2*salp1; -if(salp12===0&&calp12<0){ -salp12=g.tiny_*calp1; -calp12=-1; -} -alp12=Math.atan2(salp12,calp12); -} -vals.S12+=this._c2*alp12; -vals.S12*=swapp*lonsign*latsign; -vals.S12+=0; -} -if(swapp<0){ -t=salp1; -salp1=salp2; -salp2=t; -t=calp1; -calp1=calp2; -calp2=t; -if(outmask&g.GEODESICSCALE){ -t=vals.M12; -vals.M12=vals.M21; -vals.M21=t; -} -} -salp1*=swapp*lonsign;calp1*=swapp*latsign; -salp2*=swapp*lonsign;calp2*=swapp*latsign; -return{vals:vals, -salp1:salp1,calp1:calp1, -salp2:salp2,calp2:calp2}; -}; -g.Geodesic.prototype.GenDirect=function(lat1,lon1,azi1, -arcmode,s12_a12,outmask){ -var line; -if(!outmask)outmask=g.STANDARD; -else if(outmask===g.LONG_UNROLL)outmask|=g.STANDARD; -if(!arcmode)outmask|=g.DISTANCE_IN; -line=new l.GeodesicLine(this,lat1,lon1,azi1,outmask); -return line.GenPosition(arcmode,s12_a12,outmask); -}; -g.Geodesic.prototype.Direct=function(lat1,lon1,azi1,s12,outmask){ -return this.GenDirect(lat1,lon1,azi1,false,s12,outmask); -}; -g.Geodesic.prototype.ArcDirect=function(lat1,lon1,azi1,a12,outmask){ -return this.GenDirect(lat1,lon1,azi1,true,a12,outmask); -}; -g.Geodesic.prototype.Line=function(lat1,lon1,azi1,caps){ -return new l.GeodesicLine(this,lat1,lon1,azi1,caps); -}; -g.Geodesic.prototype.DirectLine=function(lat1,lon1,azi1,s12,caps){ -return this.GenDirectLine(lat1,lon1,azi1,false,s12,caps); -}; -g.Geodesic.prototype.ArcDirectLine=function(lat1,lon1,azi1,a12,caps){ -return this.GenDirectLine(lat1,lon1,azi1,true,a12,caps); -}; -g.Geodesic.prototype.GenDirectLine=function(lat1,lon1,azi1, -arcmode,s12_a12,caps){ -var t; -if(!caps)caps=g.STANDARD|g.DISTANCE_IN; -if(!arcmode)caps|=g.DISTANCE_IN; -t=new l.GeodesicLine(this,lat1,lon1,azi1,caps); -t.GenSetDistance(arcmode,s12_a12); -return t; -}; -g.Geodesic.prototype.InverseLine=function(lat1,lon1,lat2,lon2,caps){ -var r,t,azi1; -if(!caps)caps=g.STANDARD|g.DISTANCE_IN; -r=this.InverseInt(lat1,lon1,lat2,lon2,g.ARC); -azi1=m.atan2d(r.salp1,r.calp1); -if(caps&(g.OUT_MASK&g.DISTANCE_IN))caps|=g.DISTANCE; -t=new l.GeodesicLine(this,lat1,lon1,azi1,caps,r.salp1,r.calp1); -t.SetArc(r.vals.a12); -return t; -}; -g.Geodesic.prototype.Polygon=function(polyline){ -return new p.PolygonArea(this,polyline); -}; -g.WGS84=new g.Geodesic(c.WGS84.a,c.WGS84.f); -})(GeographicLib.Geodesic,GeographicLib.GeodesicLine, -GeographicLib.PolygonArea,GeographicLib.Math,GeographicLib.Constants); -// GeodesicLine.js -(function( -g, -l,m){ -l.GeodesicLine=function(geod,lat1,lon1,azi1,caps,salp1,calp1){ -var t,cbet1,sbet1,eps,s,c; -if(!caps)caps=g.STANDARD|g.DISTANCE_IN; -this.a=geod.a; -this.f=geod.f; -this._b=geod._b; -this._c2=geod._c2; -this._f1=geod._f1; -this.caps=caps|g.LATITUDE|g.AZIMUTH|g.LONG_UNROLL; -this.lat1=m.LatFix(lat1); -this.lon1=lon1; -if(typeof salp1==='undefined'||typeof calp1==='undefined'){ -this.azi1=m.AngNormalize(azi1); -t=m.sincosd(m.AngRound(this.azi1));this.salp1=t.s;this.calp1=t.c; -}else{ -this.azi1=azi1;this.salp1=salp1;this.calp1=calp1; -} -t=m.sincosd(m.AngRound(this.lat1));sbet1=this._f1*t.s;cbet1=t.c; -t=m.hypot(sbet1,cbet1);sbet1/=t;cbet1/=t; -cbet1=Math.max(g.tiny_,cbet1); -this._dn1=Math.sqrt(1+geod._ep2*m.sq(sbet1)); -this._salp0=this.salp1*cbet1; -this._calp0=m.hypot(this.calp1,this.salp1*sbet1); -this._ssig1=sbet1;this._somg1=this._salp0*sbet1; -this._csig1=this._comg1= -sbet1!==0||this.calp1!==0?cbet1*this.calp1:1; -t=m.hypot(this._ssig1,this._csig1); -this._ssig1/=t;this._csig1/=t; -this._k2=m.sq(this._calp0)*geod._ep2; -eps=this._k2/(2*(1+Math.sqrt(1+this._k2))+this._k2); -if(this.caps&g.CAP_C1){ -this._A1m1=g.A1m1f(eps); -this._C1a=new Array(g.nC1_+1); -g.C1f(eps,this._C1a); -this._B11=g.SinCosSeries(true,this._ssig1,this._csig1,this._C1a); -s=Math.sin(this._B11);c=Math.cos(this._B11); -this._stau1=this._ssig1*c+this._csig1*s; -this._ctau1=this._csig1*c-this._ssig1*s; -} -if(this.caps&g.CAP_C1p){ -this._C1pa=new Array(g.nC1p_+1); -g.C1pf(eps,this._C1pa); -} -if(this.caps&g.CAP_C2){ -this._A2m1=g.A2m1f(eps); -this._C2a=new Array(g.nC2_+1); -g.C2f(eps,this._C2a); -this._B21=g.SinCosSeries(true,this._ssig1,this._csig1,this._C2a); -} -if(this.caps&g.CAP_C3){ -this._C3a=new Array(g.nC3_); -geod.C3f(eps,this._C3a); -this._A3c=-this.f*this._salp0*geod.A3f(eps); -this._B31=g.SinCosSeries(true,this._ssig1,this._csig1,this._C3a); -} -if(this.caps&g.CAP_C4){ -this._C4a=new Array(g.nC4_); -geod.C4f(eps,this._C4a); -this._A4=m.sq(this.a)*this._calp0*this._salp0*geod._e2; -this._B41=g.SinCosSeries(false,this._ssig1,this._csig1,this._C4a); -} -this.a13=this.s13=Number.NaN; -}; -l.GeodesicLine.prototype.GenPosition=function(arcmode,s12_a12, -outmask){ -var vals={}, -sig12,ssig12,csig12,B12,AB1,ssig2,csig2,tau12,s,c,serr, -omg12,lam12,lon12,E,sbet2,cbet2,somg2,comg2,salp2,calp2,dn2, -B22,AB2,J12,t,B42,salp12,calp12; -if(!outmask)outmask=g.STANDARD; -else if(outmask===g.LONG_UNROLL)outmask|=g.STANDARD; -outmask&=this.caps&g.OUT_MASK; -vals.lat1=this.lat1;vals.azi1=this.azi1; -vals.lon1=outmask&g.LONG_UNROLL? -this.lon1:m.AngNormalize(this.lon1); -if(arcmode) -vals.a12=s12_a12; -else -vals.s12=s12_a12; -if(!(arcmode||(this.caps&g.DISTANCE_IN&g.OUT_MASK))){ -vals.a12=Number.NaN; -return vals; -} -B12=0;AB1=0; -if(arcmode){ -sig12=s12_a12*m.degree; -t=m.sincosd(s12_a12);ssig12=t.s;csig12=t.c; -}else{ -tau12=s12_a12/(this._b*(1+this._A1m1)); -s=Math.sin(tau12); -c=Math.cos(tau12); -B12=-g.SinCosSeries(true, -this._stau1*c+this._ctau1*s, -this._ctau1*c-this._stau1*s, -this._C1pa); -sig12=tau12-(B12-this._B11); -ssig12=Math.sin(sig12);csig12=Math.cos(sig12); -if(Math.abs(this.f)>0.01){ -ssig2=this._ssig1*csig12+this._csig1*ssig12; -csig2=this._csig1*csig12-this._ssig1*ssig12; -B12=g.SinCosSeries(true,ssig2,csig2,this._C1a); -serr=(1+this._A1m1)*(sig12+(B12-this._B11))- -s12_a12/this._b; -sig12=sig12-serr/Math.sqrt(1+this._k2*m.sq(ssig2)); -ssig12=Math.sin(sig12);csig12=Math.cos(sig12); -} -} -ssig2=this._ssig1*csig12+this._csig1*ssig12; -csig2=this._csig1*csig12-this._ssig1*ssig12; -dn2=Math.sqrt(1+this._k2*m.sq(ssig2)); -if(outmask&(g.DISTANCE|g.REDUCEDLENGTH|g.GEODESICSCALE)){ -if(arcmode||Math.abs(this.f)>0.01) -B12=g.SinCosSeries(true,ssig2,csig2,this._C1a); -AB1=(1+this._A1m1)*(B12-this._B11); -} -sbet2=this._calp0*ssig2; -cbet2=m.hypot(this._salp0,this._calp0*csig2); -if(cbet2===0) -cbet2=csig2=g.tiny_; -salp2=this._salp0;calp2=this._calp0*csig2; -if(arcmode&&(outmask&g.DISTANCE)) -vals.s12=this._b*((1+this._A1m1)*sig12+AB1); -if(outmask&g.LONGITUDE){ -somg2=this._salp0*ssig2;comg2=csig2; -E=m.copysign(1,this._salp0); -omg12=outmask&g.LONG_UNROLL? -E*(sig12- -(Math.atan2(ssig2,csig2)- -Math.atan2(this._ssig1,this._csig1))+ -(Math.atan2(E*somg2,comg2)- -Math.atan2(E*this._somg1,this._comg1))): -Math.atan2(somg2*this._comg1-comg2*this._somg1, -comg2*this._comg1+somg2*this._somg1); -lam12=omg12+this._A3c* -(sig12+(g.SinCosSeries(true,ssig2,csig2,this._C3a)- -this._B31)); -lon12=lam12/m.degree; -vals.lon2=outmask&g.LONG_UNROLL?this.lon1+lon12: -m.AngNormalize(m.AngNormalize(this.lon1)+m.AngNormalize(lon12)); -} -if(outmask&g.LATITUDE) -vals.lat2=m.atan2d(sbet2,this._f1*cbet2); -if(outmask&g.AZIMUTH) -vals.azi2=m.atan2d(salp2,calp2); -if(outmask&(g.REDUCEDLENGTH|g.GEODESICSCALE)){ -B22=g.SinCosSeries(true,ssig2,csig2,this._C2a); -AB2=(1+this._A2m1)*(B22-this._B21); -J12=(this._A1m1-this._A2m1)*sig12+(AB1-AB2); -if(outmask&g.REDUCEDLENGTH) -vals.m12=this._b*((dn2*(this._csig1*ssig2)- -this._dn1*(this._ssig1*csig2))- -this._csig1*csig2*J12); -if(outmask&g.GEODESICSCALE){ -t=this._k2*(ssig2-this._ssig1)*(ssig2+this._ssig1)/ -(this._dn1+dn2); -vals.M12=csig12+ -(t*ssig2-csig2*J12)*this._ssig1/this._dn1; -vals.M21=csig12- -(t*this._ssig1-this._csig1*J12)*ssig2/dn2; -} -} -if(outmask&g.AREA){ -B42=g.SinCosSeries(false,ssig2,csig2,this._C4a); -if(this._calp0===0||this._salp0===0){ -salp12=salp2*this.calp1-calp2*this.salp1; -calp12=calp2*this.calp1+salp2*this.salp1; -}else{ -salp12=this._calp0*this._salp0* -(csig12<=0?this._csig1*(1-csig12)+ssig12*this._ssig1: -ssig12*(this._csig1*ssig12/(1+csig12)+this._ssig1)); -calp12=m.sq(this._salp0)+m.sq(this._calp0)*this._csig1*csig2; -} -vals.S12=this._c2*Math.atan2(salp12,calp12)+ -this._A4*(B42-this._B41); -} -if(!arcmode) -vals.a12=sig12/m.degree; -return vals; -}; -l.GeodesicLine.prototype.Position=function(s12,outmask){ -return this.GenPosition(false,s12,outmask); -}; -l.GeodesicLine.prototype.ArcPosition=function(a12,outmask){ -return this.GenPosition(true,a12,outmask); -}; -l.GeodesicLine.prototype.GenSetDistance=function(arcmode,s13_a13){ -if(arcmode) -this.SetArc(s13_a13); -else -this.SetDistance(s13_a13); -}; -l.GeodesicLine.prototype.SetDistance=function(s13){ -var r; -this.s13=s13; -r=this.GenPosition(false,this.s13,g.ARC); -this.a13=0+r.a12; -}; -l.GeodesicLine.prototype.SetArc=function(a13){ -var r; -this.a13=a13; -r=this.GenPosition(true,this.a13,g.DISTANCE); -this.s13=0+r.s12; -}; -})(GeographicLib.Geodesic,GeographicLib.GeodesicLine,GeographicLib.Math); -// PolygonArea.js -(function( -p,g,m,a){ -var transit,transitdirect,AreaReduceA,AreaReduceB; -transit=function(lon1,lon2){ -var lon12,cross; -lon1=m.AngNormalize(lon1); -lon2=m.AngNormalize(lon2); -lon12=m.AngDiff(lon1,lon2).s; -cross=lon1<=0&&lon2>0&&lon12>0?1: -(lon2<=0&&lon1>0&&lon12<0?-1:0); -return cross; -}; -transitdirect=function(lon1,lon2){ -lon1=lon1%720.0;lon2=lon2%720.0; -return(((lon2<=0&&lon2>-360)||lon2>360?1:0)- -((lon1<=0&&lon1>-360)||lon1>360?1:0)); -}; -AreaReduceA=function(area,area0,crossings,reverse,sign){ -area.Remainder(area0); -if(crossings&1) -area.Add((area.Sum()<0?1:-1)*area0/2); -if(!reverse) -area.Negate(); -if(sign){ -if(area.Sum()>area0/2) -area.Add(-area0); -else if(area.Sum()<=-area0/2) -area.Add(+area0); -}else{ -if(area.Sum()>=area0) -area.Add(-area0); -else if(area.Sum()<0) -area.Add(+area0); -} -return 0+area.Sum(); -}; -AreaReduceB=function(area,area0,crossings,reverse,sign){ -area=m.remainder(area,area0); -if(crossings&1) -area+=(area<0?1:-1)*area0/2; -if(!reverse) -area*=-1; -if(sign){ -if(area>area0/2) -area-=area0; -else if(area<=-area0/2) -area+=area0; -}else{ -if(area>=area0) -area-=area0; -else if(area<0) -area+=area0; -} -return 0+area; -}; -p.PolygonArea=function(geod,polyline){ -this._geod=geod; -this.a=this._geod.a; -this.f=this._geod.f; -this._area0=4*Math.PI*geod._c2; -this.polyline=!polyline?false:polyline; -this._mask=g.LATITUDE|g.LONGITUDE|g.DISTANCE| -(this.polyline?g.NONE:g.AREA|g.LONG_UNROLL); -if(!this.polyline) -this._areasum=new a.Accumulator(0); -this._perimetersum=new a.Accumulator(0); -this.Clear(); -}; -p.PolygonArea.prototype.Clear=function(){ -this.num=0; -this._crossings=0; -if(!this.polyline) -this._areasum.Set(0); -this._perimetersum.Set(0); -this._lat0=this._lon0=this.lat=this.lon=Number.NaN; -}; -p.PolygonArea.prototype.AddPoint=function(lat,lon){ -var t; -if(this.num===0){ -this._lat0=this.lat=lat; -this._lon0=this.lon=lon; -}else{ -t=this._geod.Inverse(this.lat,this.lon,lat,lon,this._mask); -this._perimetersum.Add(t.s12); -if(!this.polyline){ -this._areasum.Add(t.S12); -this._crossings+=transit(this.lon,lon); -} -this.lat=lat; -this.lon=lon; -} -++this.num; -}; -p.PolygonArea.prototype.AddEdge=function(azi,s){ -var t; -if(this.num){ -t=this._geod.Direct(this.lat,this.lon,azi,s,this._mask); -this._perimetersum.Add(s); -if(!this.polyline){ -this._areasum.Add(t.S12); -this._crossings+=transitdirect(this.lon,t.lon2); -} -this.lat=t.lat2; -this.lon=t.lon2; -} -++this.num; -}; -p.PolygonArea.prototype.Compute=function(reverse,sign){ -var vals={number:this.num},t,tempsum; -if(this.num<2){ -vals.perimeter=0; -if(!this.polyline) -vals.area=0; -return vals; -} -if(this.polyline){ -vals.perimeter=this._perimetersum.Sum(); -return vals; -} -t=this._geod.Inverse(this.lat,this.lon,this._lat0,this._lon0, -this._mask); -vals.perimeter=this._perimetersum.Sum(t.s12); -tempsum=new a.Accumulator(this._areasum); -tempsum.Add(t.S12); -vals.area=AreaReduceA(tempsum,this._area0, -this._crossings+transit(this.lon,this._lon0), -reverse,sign); -return vals; -}; -p.PolygonArea.prototype.TestPoint=function(lat,lon,reverse,sign){ -var vals={number:this.num+1},t,tempsum,crossings,i; -if(this.num===0){ -vals.perimeter=0; -if(!this.polyline) -vals.area=0; -return vals; -} -vals.perimeter=this._perimetersum.Sum(); -tempsum=this.polyline?0:this._areasum.Sum(); -crossings=this._crossings; -for(i=0;i<(this.polyline?1:2);++i){ -t=this._geod.Inverse( -i===0?this.lat:lat,i===0?this.lon:lon, -i!==0?this._lat0:lat,i!==0?this._lon0:lon, -this._mask); -vals.perimeter+=t.s12; -if(!this.polyline){ -tempsum+=t.S12; -crossings+=transit(i===0?this.lon:lon, -i!==0?this._lon0:lon); -} -} -if(this.polyline) -return vals; -vals.area=AreaReduceB(tempsum,this._area0,crossings,reverse,sign); -return vals; -}; -p.PolygonArea.prototype.TestEdge=function(azi,s,reverse,sign){ -var vals={number:this.num?this.num+1:0},t,tempsum,crossings; -if(this.num===0) -return vals; -vals.perimeter=this._perimetersum.Sum()+s; -if(this.polyline) -return vals; -tempsum=this._areasum.Sum(); -crossings=this._crossings; -t=this._geod.Direct(this.lat,this.lon,azi,s,this._mask); -tempsum+=t.S12; -crossings+=transitdirect(this.lon,t.lon2); -crossings+=transit(t.lon2,this._lon0); -t=this._geod.Inverse(t.lat2,t.lon2,this._lat0,this._lon0,this._mask); -vals.perimeter+=t.s12; -tempsum+=t.S12; -vals.area=AreaReduceB(tempsum,this._area0,crossings,reverse,sign); -return vals; -}; -})(GeographicLib.PolygonArea,GeographicLib.Geodesic, -GeographicLib.Math,GeographicLib.Accumulator); -// DMS.js -GeographicLib.DMS={}; -(function( -d){ -var lookup,zerofill,internalDecode,numMatch, -hemispheres_="SNWE", -signs_="-+", -digits_="0123456789", -dmsindicators_="D'\":", -dmsindicatorsu_="\u00b0'\"", -components_=["degrees","minutes","seconds"]; -lookup=function(s,c){ -return s.indexOf(c.toUpperCase()); -}; -zerofill=function(s,n){ -return String("0000").substr(0,Math.max(0,Math.min(4,n-s.length)))+ -s; -}; -d.NONE=0; -d.LATITUDE=1; -d.LONGITUDE=2; -d.AZIMUTH=3; -d.DEGREE=0; -d.MINUTE=1; -d.SECOND=2; -d.Decode=function(dms){ -var dmsa=dms,end, -v=0,i=0,mi,pi,vals, -ind1=d.NONE,ind2,p,pa,pb; -dmsa=dmsa -.replace(/\u2212/g,'-') -.replace(/\u00b0/g,'d') -.replace(/\u00ba/g,'d') -.replace(/\u2070/g,'d') -.replace(/\u02da/g,'d') -.replace(/\u2032/g,'\'') -.replace(/\u00b4/g,'\'') -.replace(/\u2019/g,'\'') -.replace(/\u2033/g,'"') -.replace(/\u201d/g,'"') -.replace(/\u00a0/g,'') -.replace(/\u202f/g,'') -.replace(/\u2007/g,'') -.replace(/''/g,'"') -.trim(); -end=dmsa.length; -for(p=0;p=0) -++pa; -if(i>0||(pa=0)) -++pa; -mi=dmsa.substr(pa,end-pa).indexOf('-'); -pi=dmsa.substr(pa,end-pa).indexOf('+'); -if(mi<0)mi=end;else mi+=pa; -if(pi<0)pi=end;else pi+=pa; -pb=Math.min(mi,pi); -vals=internalDecode(dmsa.substr(p,pb-p)); -v+=vals.val;ind2=vals.ind; -if(ind1===d.NONE) -ind1=ind2; -else if(!(ind2===d.NONE||ind1===ind2)) -throw new Error("Incompatible hemisphere specifies in "+ -dmsa.substr(0,pb)); -} -if(i===0) -throw new Error("Empty or incomplete DMS string "+dmsa); -return{val:v,ind:ind1}; -}; -internalDecode=function(dmsa){ -var vals={},errormsg="", -sign,beg,end,ind1,k, -ipieces,fpieces,npiece, -icurrent,fcurrent,ncurrent,p, -pointseen, -digcount,intcount, -x; -do{ -sign=1; -beg=0;end=dmsa.length; -ind1=d.NONE; -k=-1; -if(end>beg&&(k=lookup(hemispheres_,dmsa.charAt(beg)))>=0){ -ind1=(k&2)?d.LONGITUDE:d.LATITUDE; -sign=(k&1)?1:-1; -++beg; -} -if(end>beg&& -(k=lookup(hemispheres_,dmsa.charAt(end-1)))>=0){ -if(k>=0){ -if(ind1!==d.NONE){ -if(dmsa.charAt(beg-1).toUpperCase()=== -dmsa.charAt(end-1).toUpperCase()) -errormsg="Repeated hemisphere indicators "+ -dmsa.charAt(beg-1)+" in "+ -dmsa.substr(beg-1,end-beg+1); -else -errormsg="Contradictory hemisphere indicators "+ -dmsa.charAt(beg-1)+" and "+dmsa.charAt(end-1)+" in "+ -dmsa.substr(beg-1,end-beg+1); -break; -} -ind1=(k&2)?d.LONGITUDE:d.LATITUDE; -sign=(k&1)?1:-1; ---end; -} -} -if(end>beg&&(k=lookup(signs_,dmsa.charAt(beg)))>=0){ -if(k>=0){ -sign*=k?1:-1; -++beg; -} -} -if(end===beg){ -errormsg="Empty or incomplete DMS string "+dmsa; -break; -} -ipieces=[0,0,0]; -fpieces=[0,0,0]; -npiece=0; -icurrent=0; -fcurrent=0; -ncurrent=0; -p=beg; -pointseen=false; -digcount=0; -intcount=0; -while(p=0){ -++ncurrent; -if(digcount>0){ -++digcount; -}else{ -icurrent=10*icurrent+k; -++intcount; -} -}else if(x==='.'){ -if(pointseen){ -errormsg="Multiple decimal points in "+ -dmsa.substr(beg,end-beg); -break; -} -pointseen=true; -digcount=1; -}else if((k=lookup(dmsindicators_,x))>=0){ -if(k>=3){ -if(p===end){ -errormsg="Illegal for colon to appear at the end of "+ -dmsa.substr(beg,end-beg); -break; -} -k=npiece; -} -if(k===npiece-1){ -errormsg="Repeated "+components_[k]+ -" component in "+dmsa.substr(beg,end-beg); -break; -}else if(k0){ -fcurrent=parseFloat(dmsa.substr(p-intcount-digcount-1, -intcount+digcount)); -icurrent=0; -} -ipieces[k]=icurrent; -fpieces[k]=icurrent+fcurrent; -if(p=0){ -errormsg="Internal sign in DMS string "+ -dmsa.substr(beg,end-beg); -break; -}else{ -errormsg="Illegal character "+x+" in DMS string "+ -dmsa.substr(beg,end-beg); -break; -} -} -if(errormsg.length) -break; -if(lookup(dmsindicators_,dmsa.charAt(p-1))<0){ -if(npiece>=3){ -errormsg="Extra text following seconds in DMS string "+ -dmsa.substr(beg,end-beg); -break; -} -if(ncurrent===0){ -errormsg="Missing numbers in trailing component of "+ -dmsa.substr(beg,end-beg); -break; -} -if(digcount>0){ -fcurrent=parseFloat(dmsa.substr(p-intcount-digcount, -intcount+digcount)); -icurrent=0; -} -ipieces[npiece]=icurrent; -fpieces[npiece]=icurrent+fcurrent; -} -if(pointseen&&digcount===0){ -errormsg="Decimal point in non-terminal component of "+ -dmsa.substr(beg,end-beg); -break; -} -if(ipieces[1]>=60||fpieces[1]>60){ -errormsg="Minutes "+fpieces[1]+" not in range [0,60)"; -break; -} -if(ipieces[2]>=60||fpieces[2]>60){ -errormsg="Seconds "+fpieces[2]+" not in range [0,60)"; -break; -} -vals.ind=ind1; -vals.val=sign* -(fpieces[2]?(60*(60*fpieces[0]+fpieces[1])+fpieces[2])/3600: -(fpieces[1]?(60*fpieces[0]+fpieces[1])/60:fpieces[0])); -return vals; -}while(false); -vals.val=numMatch(dmsa); -if(vals.val===0) -throw new Error(errormsg); -else -vals.ind=d.NONE; -return vals; -}; -numMatch=function(s){ -var t,sign,p0,p1; -if(s.length<3) -return 0; -t=s.toUpperCase().replace(/0+$/,""); -sign=t.charAt(0)==='-'?-1:1; -p0=t.charAt(0)==='-'||t.charAt(0)==='+'?1:0; -p1=t.length-1; -if(p1+190) -throw new Error("Latitude "+lat+" not in [-90,90]"); -vals.lat=lat; -vals.lon=lon; -return vals; -}; -d.DecodeAngle=function(angstr){ -var vals=d.Decode(angstr), -ang=vals.val,ind=vals.ind; -if(ind!==d.NONE) -throw new Error("Arc angle "+angstr+ -" includes a hemisphere N/E/W/S"); -return ang; -}; -d.DecodeAzimuth=function(azistr){ -var vals=d.Decode(azistr), -azi=vals.val,ind=vals.ind; -if(ind===d.LATITUDE) -throw new Error("Azimuth "+azistr+" has a latitude hemisphere N/S"); -return azi; -}; -d.Encode=function(angle,trailing,prec,ind){ -var scale=1,i,sign, -idegree,fdegree,f,pieces,ip,fp,s; -if(!ind)ind=d.NONE; -if(!isFinite(angle)) -return angle<0?String("-inf"): -(angle>0?String("inf"):String("nan")); -prec=Math.min(15-2*trailing,prec); -for(i=0;i=1){ -idegree+=1; -fdegree-=1; -} -pieces=[fdegree,0,0]; -for(i=1;i<=trailing;++i){ -ip=Math.floor(pieces[i-1]); -fp=pieces[i-1]-ip; -pieces[i]=fp*60; -pieces[i-1]=ip; -} -pieces[0]+=idegree; -s=""; -if(ind===d.NONE&&sign<0) -s+='-'; -switch(trailing){ -case d.DEGREE: -s+=zerofill(pieces[0].toFixed(prec), -ind===d.NONE?0: -1+Math.min(ind,2)+prec+(prec?1:0))+ -dmsindicatorsu_.charAt(0); -break; -default: -s+=zerofill(pieces[0].toFixed(0), -ind===d.NONE?0:1+Math.min(ind,2))+ -dmsindicatorsu_.charAt(0); -switch(trailing){ -case d.MINUTE: -s+=zerofill(pieces[1].toFixed(prec),2+prec+(prec?1:0))+ -dmsindicatorsu_.charAt(1); -break; -case d.SECOND: -s+=zerofill(pieces[1].toFixed(0),2)+dmsindicatorsu_.charAt(1); -s+=zerofill(pieces[2].toFixed(prec),2+prec+(prec?1:0))+ -dmsindicatorsu_.charAt(2); -break; -default: -break; -} -} -if(ind!==d.NONE&&ind!==d.AZIMUTH) -s+=hemispheres_.charAt((ind===d.LATITUDE?0:2)+ -(sign<0?0:1)); -return s; -}; -})(GeographicLib.DMS); -cb(GeographicLib); -})(function(geo){ -if(typeof module==='object'&&module.exports){ -module.exports=geo; -}else if(typeof define==='function'&&define.amd){ -define('geographiclib',[],function(){return geo;}); -}else{ -window.GeographicLib=geo; -} -}); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/LICENSE.txt b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/LICENSE.txt deleted file mode 100644 index d1bcab1a0cf44d5c28266653ce12ab41b5cb2813..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/LICENSE.txt +++ /dev/null @@ -1,24 +0,0 @@ -The MIT License (MIT); this license applies to GeographicLib, -versions 1.12 and later. - -Copyright (c) 2008-2019, Charles Karney - -Permission is hereby granted, free of charge, to any person -obtaining a copy of this software and associated documentation -files (the "Software"), to deal in the Software without -restriction, including without limitation the rights to use, copy, -modify, merge, publish, distribute, sublicense, and/or sell copies -of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be -included in all copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, -EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF -MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND -NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT -HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, -WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER -DEALINGS IN THE SOFTWARE. diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/README.md b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/README.md deleted file mode 100644 index 57cb9266df07b965888203cf18e73f257b65bdf6..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/README.md +++ /dev/null @@ -1,50 +0,0 @@ -# Geodesic routines from GeographicLib - -This library is a JavaScript implementation of the geodesic routines -from [GeographicLib](https://geographiclib.sourceforge.io). This solves the -direct and inverse geodesic problems for an ellipsoid of revolution. - -Licensed under the MIT/X11 License; see -[LICENSE.txt](https://geographiclib.sourceforge.io/html/LICENSE.txt). - -## Installation - -```bash -$ npm install geographiclib -``` - -## Usage - -In [node](https://nodejs.org), do -```javascript -var GeographicLib = require("geographiclib"); -``` - -## Documentation - -Full documentation is provided at -[https://geographiclib.sourceforge.io/1.50/js/](https://geographiclib.sourceforge.io/1.50/js/). - -## Examples - -```javascript -var GeographicLib = require("geographiclib"), - geod = GeographicLib.Geodesic.WGS84, r; - -// Find the distance from Wellington, NZ (41.32S, 174.81E) to -// Salamanca, Spain (40.96N, 5.50W)... -r = geod.Inverse(-41.32, 174.81, 40.96, -5.50); -console.log("The distance is " + r.s12.toFixed(3) + " m."); -// This prints "The distance is 19959679.267 m." - -// Find the point 20000 km SW of Perth, Australia (32.06S, 115.74E)... -r = geod.Direct(-32.06, 115.74, 225, 20000e3); -console.log("The position is (" + - r.lat2.toFixed(8) + ", " + r.lon2.toFixed(8) + ")."); -// This prints "The position is (32.11195529, -63.95925278)." -``` - -## Authors - -* algorithms + js code: Charles Karney (charles@karney.com) -* node.js port: Yurij Mikhalevich (0@39.yt) diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/geographiclib.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/geographiclib.js deleted file mode 100644 index b69c60dad5a329957890e9d153d5805b8bb62ae3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/geographiclib.js +++ /dev/null @@ -1,3111 +0,0 @@ -/* - * Geodesic routines from GeographicLib translated to JavaScript. See - * https://geographiclib.sourceforge.io/html/js/ - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013), - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * This file is the concatenation and compression of the JavaScript files in - * doc/scripts/GeographicLib in the source tree for GeographicLib. - * - * Copyright (c) Charles Karney (2011-2015) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - * - * Version: 1.50 - * File inventory: - * Math.js Geodesic.js GeodesicLine.js PolygonArea.js DMS.js - */ - -(function(cb) { - -/**************** Math.js ****************/ -/* - * Math.js - * Transcription of Math.hpp, Constants.hpp, and Accumulator.hpp into - * JavaScript. - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -/** - * @namespace GeographicLib - * @description The parent namespace for the following modules: - * - {@link module:GeographicLib/Geodesic GeographicLib/Geodesic} The main - * engine for solving geodesic problems via the - * {@link module:GeographicLib/Geodesic.Geodesic Geodesic} class. - * - {@link module:GeographicLib/GeodesicLine GeographicLib/GeodesicLine} - * computes points along a single geodesic line via the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} - * class. - * - {@link module:GeographicLib/PolygonArea GeographicLib/PolygonArea} - * computes the area of a geodesic polygon via the - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} - * class. - * - {@link module:GeographicLib/DMS GeographicLib/DMS} handles the decoding - * and encoding of angles in degree, minutes, and seconds, via static - * functions in this module. - * - {@link module:GeographicLib/Constants GeographicLib/Constants} defines - * constants specifying the version numbers and the parameters for the WGS84 - * ellipsoid. - * - * The following modules are used internally by the package: - * - {@link module:GeographicLib/Math GeographicLib/Math} defines various - * mathematical functions. - * - {@link module:GeographicLib/Accumulator GeographicLib/Accumulator} - * interally used by - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} (via the - * {@link module:GeographicLib/Accumulator.Accumulator Accumulator} class) - * for summing the contributions to the area of a polygon. - */ -"use strict"; -var GeographicLib = {}; -GeographicLib.Constants = {}; -GeographicLib.Math = {}; -GeographicLib.Accumulator = {}; - -(function( - /** - * @exports GeographicLib/Constants - * @description Define constants defining the version and WGS84 parameters. - */ - c) { - - /** - * @constant - * @summary WGS84 parameters. - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - */ - c.WGS84 = { a: 6378137, f: 1/298.257223563 }; - /** - * @constant - * @summary an array of version numbers. - * @property {number} major the major version number. - * @property {number} minor the minor version number. - * @property {number} patch the patch number. - */ - c.version = { major: 1, minor: 50, patch: 0 }; - /** - * @constant - * @summary version string - */ - c.version_string = "1.50"; -})(GeographicLib.Constants); - -(function( - /** - * @exports GeographicLib/Math - * @description Some useful mathematical constants and functions (mainly for - * internal use). - */ - m) { - - /** - * @summary The number of digits of precision in floating-point numbers. - * @constant {number} - */ - m.digits = 53; - /** - * @summary The machine epsilon. - * @constant {number} - */ - m.epsilon = Math.pow(0.5, m.digits - 1); - /** - * @summary The factor to convert degrees to radians. - * @constant {number} - */ - m.degree = Math.PI/180; - - /** - * @summary Square a number. - * @param {number} x the number. - * @returns {number} the square. - */ - m.sq = function(x) { return x * x; }; - - /** - * @summary The hypotenuse function. - * @param {number} x the first side. - * @param {number} y the second side. - * @returns {number} the hypotenuse. - */ - m.hypot = Math.hypot || function(x, y) { - var a, b; - x = Math.abs(x); - y = Math.abs(y); - a = Math.max(x, y); b = Math.min(x, y) / (a ? a : 1); - return a * Math.sqrt(1 + b * b); - }; - - /** - * @summary Cube root function. - * @param {number} x the argument. - * @returns {number} the real cube root. - */ - m.cbrt = Math.cbrt || function(x) { - var y = Math.pow(Math.abs(x), 1/3); - return x > 0 ? y : (x < 0 ? -y : x); - }; - - /** - * @summary The log1p function. - * @param {number} x the argument. - * @returns {number} log(1 + x). - */ - m.log1p = Math.log1p || function(x) { - var y = 1 + x, - z = y - 1; - // Here's the explanation for this magic: y = 1 + z, exactly, and z - // approx x, thus log(y)/z (which is nearly constant near z = 0) returns - // a good approximation to the true log(1 + x)/x. The multiplication x * - // (log(y)/z) introduces little additional error. - return z === 0 ? x : x * Math.log(y) / z; - }; - - /** - * @summary Inverse hyperbolic tangent. - * @param {number} x the argument. - * @returns {number} tanh−1 x. - */ - m.atanh = Math.atanh || function(x) { - var y = Math.abs(x); // Enforce odd parity - y = m.log1p(2 * y/(1 - y))/2; - return x > 0 ? y : (x < 0 ? -y : x); - }; - - /** - * @summary Copy the sign. - * @param {number} x gives the magitude of the result. - * @param {number} y gives the sign of the result. - * @returns {number} value with the magnitude of x and with the sign of y. - */ - m.copysign = function(x, y) { - return Math.abs(x) * (y < 0 || (y === 0 && 1/y < 0) ? -1 : 1); - }; - - /** - * @summary An error-free sum. - * @param {number} u - * @param {number} v - * @returns {object} sum with sum.s = round(u + v) and sum.t is u + v − - * round(u + v) - */ - m.sum = function(u, v) { - var s = u + v, - up = s - v, - vpp = s - up, - t; - up -= u; - vpp -= v; - t = -(up + vpp); - // u + v = s + t - // = round(u + v) + t - return {s: s, t: t}; - }; - - /** - * @summary Evaluate a polynomial. - * @param {integer} N the order of the polynomial. - * @param {array} p the coefficient array (of size N + 1) (leading - * order coefficient first) - * @param {number} x the variable. - * @returns {number} the value of the polynomial. - */ - m.polyval = function(N, p, s, x) { - var y = N < 0 ? 0 : p[s++]; - while (--N >= 0) y = y * x + p[s++]; - return y; - }; - - /** - * @summary Coarsen a value close to zero. - * @param {number} x - * @returns {number} the coarsened value. - */ - m.AngRound = function(x) { - // The makes the smallest gap in x = 1/16 - nextafter(1/16, 0) = 1/2^57 for - // reals = 0.7 pm on the earth if x is an angle in degrees. (This is about - // 1000 times more resolution than we get with angles around 90 degrees.) - // We use this to avoid having to deal with near singular cases when x is - // non-zero but tiny (e.g., 1.0e-200). This converts -0 to +0; however - // tiny negative numbers get converted to -0. - if (x === 0) return x; - var z = 1/16, - y = Math.abs(x); - // The compiler mustn't "simplify" z - (z - y) to y - y = y < z ? z - (z - y) : y; - return x < 0 ? -y : y; - }; - - /** - * @summary The remainder function. - * @param {number} x the numerator of the division - * @param {number} y the denominator of the division - * @return {number} the remainder in the range [−y/2, y/2]. - *

- * The range of x is unrestricted; y must be positive. - */ - m.remainder = function(x, y) { - x = x % y; - return x < -y/2 ? x + y : (x < y/2 ? x : x - y); - }; - - /** - * @summary Normalize an angle. - * @param {number} x the angle in degrees. - * @returns {number} the angle reduced to the range (−180°, - * 180°]. - */ - m.AngNormalize = function(x) { - // Place angle in (-180, 180]. - x = m.remainder(x, 360); - return x == -180 ? 180 : x; - }; - - /** - * @summary Normalize a latitude. - * @param {number} x the angle in degrees. - * @returns {number} x if it is in the range [−90°, 90°], - * otherwise return NaN. - */ - m.LatFix = function(x) { - // Replace angle with NaN if outside [-90, 90]. - return Math.abs(x) > 90 ? Number.NaN : x; - }; - - /** - * @summary The exact difference of two angles reduced to (−180°, - * 180°] - * @param {number} x the first angle in degrees. - * @param {number} y the second angle in degrees. - * @return {object} diff the exact difference, y − x. - * - * This computes z = y − x exactly, reduced to (−180°, - * 180°]; and then sets diff.s = d = round(z) and diff.t = e = z − - * round(z). If d = −180, then e > 0; If d = 180, then e ≤ 0. - */ - m.AngDiff = function(x, y) { - // Compute y - x and reduce to [-180,180] accurately. - var r = m.sum(m.AngNormalize(-x), m.AngNormalize(y)), - d = m.AngNormalize(r.s), - t = r.t; - return m.sum(d === 180 && t > 0 ? -180 : d, t); - }; - - /** - * @summary Evaluate the sine and cosine function with the argument in - * degrees - * @param {number} x in degrees. - * @returns {object} r with r.s = sin(x) and r.c = cos(x). - */ - m.sincosd = function(x) { - // In order to minimize round-off errors, this function exactly reduces - // the argument to the range [-45, 45] before converting it to radians. - var r, q, s, c, sinx, cosx; - r = x % 360; - q = 0 + Math.round(r / 90); // If r is NaN this returns NaN - r -= 90 * q; - // now abs(r) <= 45 - r *= this.degree; - // Possibly could call the gnu extension sincos - s = Math.sin(r); c = Math.cos(r); - switch (q & 3) { - case 0: sinx = s; cosx = c; break; - case 1: sinx = c; cosx = -s; break; - case 2: sinx = -s; cosx = -c; break; - default: sinx = -c; cosx = s; break; // case 3 - } - if (x !== 0) { sinx += 0; cosx += 0; } - return {s: sinx, c: cosx}; - }; - - /** - * @summary Evaluate the atan2 function with the result in degrees - * @param {number} y - * @param {number} x - * @returns atan2(y, x) in degrees, in the range (−180° - * 180°]. - */ - m.atan2d = function(y, x) { - // In order to minimize round-off errors, this function rearranges the - // arguments so that result of atan2 is in the range [-pi/4, pi/4] before - // converting it to degrees and mapping the result to the correct - // quadrant. - var q = 0, t, ang; - if (Math.abs(y) > Math.abs(x)) { t = x; x = y; y = t; q = 2; } - if (x < 0) { x = -x; ++q; } - // here x >= 0 and x >= abs(y), so angle is in [-pi/4, pi/4] - ang = Math.atan2(y, x) / this.degree; - switch (q) { - // Note that atan2d(-0.0, 1.0) will return -0. However, we expect that - // atan2d will not be called with y = -0. If need be, include - // - // case 0: ang = 0 + ang; break; - // - // and handle mpfr as in AngRound. - case 1: ang = (y >= 0 ? 180 : -180) - ang; break; - case 2: ang = 90 - ang; break; - case 3: ang = -90 + ang; break; - } - return ang; - }; -})(GeographicLib.Math); - -(function( - /** - * @exports GeographicLib/Accumulator - * @description Accurate summation via the - * {@link module:GeographicLib/Accumulator.Accumulator Accumulator} class - * (mainly for internal use). - */ - a, m) { - - /** - * @class - * @summary Accurate summation of many numbers. - * @classdesc This allows many numbers to be added together with twice the - * normal precision. In the documentation of the member functions, sum - * stands for the value currently held in the accumulator. - * @param {number | Accumulator} [y = 0] set sum = y. - */ - a.Accumulator = function(y) { - this.Set(y); - }; - - /** - * @summary Set the accumulator to a number. - * @param {number | Accumulator} [y = 0] set sum = y. - */ - a.Accumulator.prototype.Set = function(y) { - if (!y) y = 0; - if (y.constructor === a.Accumulator) { - this._s = y._s; - this._t = y._t; - } else { - this._s = y; - this._t = 0; - } - }; - - /** - * @summary Add a number to the accumulator. - * @param {number} [y = 0] set sum += y. - */ - a.Accumulator.prototype.Add = function(y) { - // Here's Shewchuk's solution... - // Accumulate starting at least significant end - var u = m.sum(y, this._t), - v = m.sum(u.s, this._s); - u = u.t; - this._s = v.s; - this._t = v.t; - // Start is _s, _t decreasing and non-adjacent. Sum is now (s + t + u) - // exactly with s, t, u non-adjacent and in decreasing order (except - // for possible zeros). The following code tries to normalize the - // result. Ideally, we want _s = round(s+t+u) and _u = round(s+t+u - - // _s). The follow does an approximate job (and maintains the - // decreasing non-adjacent property). Here are two "failures" using - // 3-bit floats: - // - // Case 1: _s is not equal to round(s+t+u) -- off by 1 ulp - // [12, -1] - 8 -> [4, 0, -1] -> [4, -1] = 3 should be [3, 0] = 3 - // - // Case 2: _s+_t is not as close to s+t+u as it shold be - // [64, 5] + 4 -> [64, 8, 1] -> [64, 8] = 72 (off by 1) - // should be [80, -7] = 73 (exact) - // - // "Fixing" these problems is probably not worth the expense. The - // representation inevitably leads to small errors in the accumulated - // values. The additional errors illustrated here amount to 1 ulp of - // the less significant word during each addition to the Accumulator - // and an additional possible error of 1 ulp in the reported sum. - // - // Incidentally, the "ideal" representation described above is not - // canonical, because _s = round(_s + _t) may not be true. For - // example, with 3-bit floats: - // - // [128, 16] + 1 -> [160, -16] -- 160 = round(145). - // But [160, 0] - 16 -> [128, 16] -- 128 = round(144). - // - if (this._s === 0) // This implies t == 0, - this._s = u; // so result is u - else - this._t += u; // otherwise just accumulate u to t. - }; - - /** - * @summary Return the result of adding a number to sum (but - * don't change sum). - * @param {number} [y = 0] the number to be added to the sum. - * @return sum + y. - */ - a.Accumulator.prototype.Sum = function(y) { - var b; - if (!y) - return this._s; - else { - b = new a.Accumulator(this); - b.Add(y); - return b._s; - } - }; - - /** - * @summary Set sum = −sum. - */ - a.Accumulator.prototype.Negate = function() { - this._s *= -1; - this._t *= -1; - }; - - /** - * @summary Take the remainder - * @param {number} y the divisor of the remainder operation. - * @return sum in range [−y/2, y/2]. - */ - a.Accumulator.prototype.Remainder = function(y) { - this._s = m.remainder(this._s, y); - this.Add(0); - }; -})(GeographicLib.Accumulator, GeographicLib.Math); - -/**************** Geodesic.js ****************/ -/* - * Geodesic.js - * Transcription of Geodesic.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2017) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER Math.js - -GeographicLib.Geodesic = {}; -GeographicLib.GeodesicLine = {}; -GeographicLib.PolygonArea = {}; - -(function( - /** - * @exports GeographicLib/Geodesic - * @description Solve geodesic problems via the - * {@link module:GeographicLib/Geodesic.Geodesic Geodesic} class. - */ - g, l, p, m, c) { - - var GEOGRAPHICLIB_GEODESIC_ORDER = 6, - nA1_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA2_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA3_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA3x_ = nA3_, - nC3x_, nC4x_, - maxit1_ = 20, - maxit2_ = maxit1_ + m.digits + 10, - tol0_ = m.epsilon, - tol1_ = 200 * tol0_, - tol2_ = Math.sqrt(tol0_), - tolb_ = tol0_ * tol1_, - xthresh_ = 1000 * tol2_, - CAP_NONE = 0, - CAP_ALL = 0x1F, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80, - astroid, - A1m1f_coeff, C1f_coeff, C1pf_coeff, - A2m1f_coeff, C2f_coeff, - A3_coeff, C3_coeff, C4_coeff; - - g.tiny_ = Math.sqrt(Number.MIN_VALUE); - g.nC1_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC1p_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC2_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC3_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC4_ = GEOGRAPHICLIB_GEODESIC_ORDER; - nC3x_ = (g.nC3_ * (g.nC3_ - 1)) / 2; - nC4x_ = (g.nC4_ * (g.nC4_ + 1)) / 2; - g.CAP_C1 = 1<<0; - g.CAP_C1p = 1<<1; - g.CAP_C2 = 1<<2; - g.CAP_C3 = 1<<3; - g.CAP_C4 = 1<<4; - - g.NONE = 0; - g.ARC = 1<<6; - g.LATITUDE = 1<<7 | CAP_NONE; - g.LONGITUDE = 1<<8 | g.CAP_C3; - g.AZIMUTH = 1<<9 | CAP_NONE; - g.DISTANCE = 1<<10 | g.CAP_C1; - g.STANDARD = g.LATITUDE | g.LONGITUDE | g.AZIMUTH | g.DISTANCE; - g.DISTANCE_IN = 1<<11 | g.CAP_C1 | g.CAP_C1p; - g.REDUCEDLENGTH = 1<<12 | g.CAP_C1 | g.CAP_C2; - g.GEODESICSCALE = 1<<13 | g.CAP_C1 | g.CAP_C2; - g.AREA = 1<<14 | g.CAP_C4; - g.ALL = OUT_ALL| CAP_ALL; - g.LONG_UNROLL = 1<<15; - g.OUT_MASK = OUT_ALL| g.LONG_UNROLL; - - g.SinCosSeries = function(sinp, sinx, cosx, c) { - // Evaluate - // y = sinp ? sum(c[i] * sin( 2*i * x), i, 1, n) : - // sum(c[i] * cos((2*i+1) * x), i, 0, n-1) - // using Clenshaw summation. N.B. c[0] is unused for sin series - // Approx operation count = (n + 5) mult and (2 * n + 2) add - var k = c.length, // Point to one beyond last element - n = k - (sinp ? 1 : 0), - ar = 2 * (cosx - sinx) * (cosx + sinx), // 2 * cos(2 * x) - y0 = n & 1 ? c[--k] : 0, y1 = 0; // accumulators for sum - // Now n is even - n = Math.floor(n/2); - while (n--) { - // Unroll loop x 2, so accumulators return to their original role - y1 = ar * y0 - y1 + c[--k]; - y0 = ar * y1 - y0 + c[--k]; - } - return (sinp ? 2 * sinx * cosx * y0 : // sin(2 * x) * y0 - cosx * (y0 - y1)); // cos(x) * (y0 - y1) - }; - - astroid = function(x, y) { - // Solve k^4+2*k^3-(x^2+y^2-1)*k^2-2*y^2*k-y^2 = 0 for positive - // root k. This solution is adapted from Geocentric::Reverse. - var k, - p = m.sq(x), - q = m.sq(y), - r = (p + q - 1) / 6, - S, r2, r3, disc, u, T3, T, ang, v, uv, w; - if ( !(q === 0 && r <= 0) ) { - // Avoid possible division by zero when r = 0 by multiplying - // equations for s and t by r^3 and r, resp. - S = p * q / 4; // S = r^3 * s - r2 = m.sq(r); - r3 = r * r2; - // The discriminant of the quadratic equation for T3. This is - // zero on the evolute curve p^(1/3)+q^(1/3) = 1 - disc = S * (S + 2 * r3); - u = r; - if (disc >= 0) { - T3 = S + r3; - // Pick the sign on the sqrt to maximize abs(T3). This - // minimizes loss of precision due to cancellation. The - // result is unchanged because of the way the T is used - // in definition of u. - T3 += T3 < 0 ? -Math.sqrt(disc) : Math.sqrt(disc); // T3 = (r * t)^3 - // N.B. cbrt always returns the real root. cbrt(-8) = -2. - T = m.cbrt(T3); // T = r * t - // T can be zero; but then r2 / T -> 0. - u += T + (T !== 0 ? r2 / T : 0); - } else { - // T is complex, but the way u is defined the result is real. - ang = Math.atan2(Math.sqrt(-disc), -(S + r3)); - // There are three possible cube roots. We choose the - // root which avoids cancellation. Note that disc < 0 - // implies that r < 0. - u += 2 * r * Math.cos(ang / 3); - } - v = Math.sqrt(m.sq(u) + q); // guaranteed positive - // Avoid loss of accuracy when u < 0. - uv = u < 0 ? q / (v - u) : u + v; // u+v, guaranteed positive - w = (uv - q) / (2 * v); // positive? - // Rearrange expression for k to avoid loss of accuracy due to - // subtraction. Division by 0 not possible because uv > 0, w >= 0. - k = uv / (Math.sqrt(uv + m.sq(w)) + w); // guaranteed positive - } else { // q == 0 && r <= 0 - // y = 0 with |x| <= 1. Handle this case directly. - // for y small, positive root is k = abs(y)/sqrt(1-x^2) - k = 0; - } - return k; - }; - - A1m1f_coeff = [ - // (1-eps)*A1-1, polynomial in eps2 of order 3 - +1, 4, 64, 0, 256 - ]; - - // The scale factor A1-1 = mean value of (d/dsigma)I1 - 1 - g.A1m1f = function(eps) { - var p = Math.floor(nA1_/2), - t = m.polyval(p, A1m1f_coeff, 0, m.sq(eps)) / A1m1f_coeff[p + 1]; - return (t + eps) / (1 - eps); - }; - - C1f_coeff = [ - // C1[1]/eps^1, polynomial in eps2 of order 2 - -1, 6, -16, 32, - // C1[2]/eps^2, polynomial in eps2 of order 2 - -9, 64, -128, 2048, - // C1[3]/eps^3, polynomial in eps2 of order 1 - +9, -16, 768, - // C1[4]/eps^4, polynomial in eps2 of order 1 - +3, -5, 512, - // C1[5]/eps^5, polynomial in eps2 of order 0 - -7, 1280, - // C1[6]/eps^6, polynomial in eps2 of order 0 - -7, 2048 - ]; - - // The coefficients C1[l] in the Fourier expansion of B1 - g.C1f = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC1_; ++l) { // l is index of C1p[l] - p = Math.floor((g.nC1_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C1f_coeff, o, eps2) / C1f_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - C1pf_coeff = [ - // C1p[1]/eps^1, polynomial in eps2 of order 2 - +205, -432, 768, 1536, - // C1p[2]/eps^2, polynomial in eps2 of order 2 - +4005, -4736, 3840, 12288, - // C1p[3]/eps^3, polynomial in eps2 of order 1 - -225, 116, 384, - // C1p[4]/eps^4, polynomial in eps2 of order 1 - -7173, 2695, 7680, - // C1p[5]/eps^5, polynomial in eps2 of order 0 - +3467, 7680, - // C1p[6]/eps^6, polynomial in eps2 of order 0 - +38081, 61440 - ]; - - // The coefficients C1p[l] in the Fourier expansion of B1p - g.C1pf = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC1p_; ++l) { // l is index of C1p[l] - p = Math.floor((g.nC1p_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C1pf_coeff, o, eps2) / C1pf_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - A2m1f_coeff = [ - // (eps+1)*A2-1, polynomial in eps2 of order 3 - -11, -28, -192, 0, 256 - ]; - - // The scale factor A2-1 = mean value of (d/dsigma)I2 - 1 - g.A2m1f = function(eps) { - var p = Math.floor(nA2_/2), - t = m.polyval(p, A2m1f_coeff, 0, m.sq(eps)) / A2m1f_coeff[p + 1]; - return (t - eps) / (1 + eps); - }; - - C2f_coeff = [ - // C2[1]/eps^1, polynomial in eps2 of order 2 - +1, 2, 16, 32, - // C2[2]/eps^2, polynomial in eps2 of order 2 - +35, 64, 384, 2048, - // C2[3]/eps^3, polynomial in eps2 of order 1 - +15, 80, 768, - // C2[4]/eps^4, polynomial in eps2 of order 1 - +7, 35, 512, - // C2[5]/eps^5, polynomial in eps2 of order 0 - +63, 1280, - // C2[6]/eps^6, polynomial in eps2 of order 0 - +77, 2048 - ]; - - // The coefficients C2[l] in the Fourier expansion of B2 - g.C2f = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC2_; ++l) { // l is index of C2[l] - p = Math.floor((g.nC2_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C2f_coeff, o, eps2) / C2f_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @summary Initialize a Geodesic object for a specific ellipsoid. - * @classdesc Performs geodesic calculations on an ellipsoid of revolution. - * The routines for solving the direct and inverse problems return an - * object with some of the following fields set: lat1, lon1, azi1, lat2, - * lon2, azi2, s12, a12, m12, M12, M21, S12. See {@tutorial 2-interface}, - * "The results". - * @example - * var GeographicLib = require("geographiclib"), - * geod = GeographicLib.Geodesic.WGS84; - * var inv = geod.Inverse(1,2,3,4); - * console.log("lat1 = " + inv.lat1 + ", lon1 = " + inv.lon1 + - * ", lat2 = " + inv.lat2 + ", lon2 = " + inv.lon2 + - * ",\nazi1 = " + inv.azi1 + ", azi2 = " + inv.azi2 + - * ", s12 = " + inv.s12); - * @param {number} a the equatorial radius of the ellipsoid (meters). - * @param {number} f the flattening of the ellipsoid. Setting f = 0 gives - * a sphere (on which geodesics are great circles). Negative f gives a - * prolate ellipsoid. - * @throws an error if the parameters are illegal. - */ - g.Geodesic = function(a, f) { - this.a = a; - this.f = f; - this._f1 = 1 - this.f; - this._e2 = this.f * (2 - this.f); - this._ep2 = this._e2 / m.sq(this._f1); // e2 / (1 - e2) - this._n = this.f / ( 2 - this.f); - this._b = this.a * this._f1; - // authalic radius squared - this._c2 = (m.sq(this.a) + m.sq(this._b) * - (this._e2 === 0 ? 1 : - (this._e2 > 0 ? m.atanh(Math.sqrt(this._e2)) : - Math.atan(Math.sqrt(-this._e2))) / - Math.sqrt(Math.abs(this._e2))))/2; - // The sig12 threshold for "really short". Using the auxiliary sphere - // solution with dnm computed at (bet1 + bet2) / 2, the relative error in - // the azimuth consistency check is sig12^2 * abs(f) * min(1, 1-f/2) / 2. - // (Error measured for 1/100 < b/a < 100 and abs(f) >= 1/1000. For a given - // f and sig12, the max error occurs for lines near the pole. If the old - // rule for computing dnm = (dn1 + dn2)/2 is used, then the error increases - // by a factor of 2.) Setting this equal to epsilon gives sig12 = etol2. - // Here 0.1 is a safety factor (error decreased by 100) and max(0.001, - // abs(f)) stops etol2 getting too large in the nearly spherical case. - this._etol2 = 0.1 * tol2_ / - Math.sqrt( Math.max(0.001, Math.abs(this.f)) * - Math.min(1.0, 1 - this.f/2) / 2 ); - if (!(isFinite(this.a) && this.a > 0)) - throw new Error("Equatorial radius is not positive"); - if (!(isFinite(this._b) && this._b > 0)) - throw new Error("Polar semi-axis is not positive"); - this._A3x = new Array(nA3x_); - this._C3x = new Array(nC3x_); - this._C4x = new Array(nC4x_); - this.A3coeff(); - this.C3coeff(); - this.C4coeff(); - }; - - A3_coeff = [ - // A3, coeff of eps^5, polynomial in n of order 0 - -3, 128, - // A3, coeff of eps^4, polynomial in n of order 1 - -2, -3, 64, - // A3, coeff of eps^3, polynomial in n of order 2 - -1, -3, -1, 16, - // A3, coeff of eps^2, polynomial in n of order 2 - +3, -1, -2, 8, - // A3, coeff of eps^1, polynomial in n of order 1 - +1, -1, 2, - // A3, coeff of eps^0, polynomial in n of order 0 - +1, 1 - ]; - - // The scale factor A3 = mean value of (d/dsigma)I3 - g.Geodesic.prototype.A3coeff = function() { - var o = 0, k = 0, - j, p; - for (j = nA3_ - 1; j >= 0; --j) { // coeff of eps^j - p = Math.min(nA3_ - j - 1, j); // order of polynomial in n - this._A3x[k++] = m.polyval(p, A3_coeff, o, this._n) / - A3_coeff[o + p + 1]; - o += p + 2; - } - }; - - C3_coeff = [ - // C3[1], coeff of eps^5, polynomial in n of order 0 - +3, 128, - // C3[1], coeff of eps^4, polynomial in n of order 1 - +2, 5, 128, - // C3[1], coeff of eps^3, polynomial in n of order 2 - -1, 3, 3, 64, - // C3[1], coeff of eps^2, polynomial in n of order 2 - -1, 0, 1, 8, - // C3[1], coeff of eps^1, polynomial in n of order 1 - -1, 1, 4, - // C3[2], coeff of eps^5, polynomial in n of order 0 - +5, 256, - // C3[2], coeff of eps^4, polynomial in n of order 1 - +1, 3, 128, - // C3[2], coeff of eps^3, polynomial in n of order 2 - -3, -2, 3, 64, - // C3[2], coeff of eps^2, polynomial in n of order 2 - +1, -3, 2, 32, - // C3[3], coeff of eps^5, polynomial in n of order 0 - +7, 512, - // C3[3], coeff of eps^4, polynomial in n of order 1 - -10, 9, 384, - // C3[3], coeff of eps^3, polynomial in n of order 2 - +5, -9, 5, 192, - // C3[4], coeff of eps^5, polynomial in n of order 0 - +7, 512, - // C3[4], coeff of eps^4, polynomial in n of order 1 - -14, 7, 512, - // C3[5], coeff of eps^5, polynomial in n of order 0 - +21, 2560 - ]; - - // The coefficients C3[l] in the Fourier expansion of B3 - g.Geodesic.prototype.C3coeff = function() { - var o = 0, k = 0, - l, j, p; - for (l = 1; l < g.nC3_; ++l) { // l is index of C3[l] - for (j = g.nC3_ - 1; j >= l; --j) { // coeff of eps^j - p = Math.min(g.nC3_ - j - 1, j); // order of polynomial in n - this._C3x[k++] = m.polyval(p, C3_coeff, o, this._n) / - C3_coeff[o + p + 1]; - o += p + 2; - } - } - }; - - C4_coeff = [ - // C4[0], coeff of eps^5, polynomial in n of order 0 - +97, 15015, - // C4[0], coeff of eps^4, polynomial in n of order 1 - +1088, 156, 45045, - // C4[0], coeff of eps^3, polynomial in n of order 2 - -224, -4784, 1573, 45045, - // C4[0], coeff of eps^2, polynomial in n of order 3 - -10656, 14144, -4576, -858, 45045, - // C4[0], coeff of eps^1, polynomial in n of order 4 - +64, 624, -4576, 6864, -3003, 15015, - // C4[0], coeff of eps^0, polynomial in n of order 5 - +100, 208, 572, 3432, -12012, 30030, 45045, - // C4[1], coeff of eps^5, polynomial in n of order 0 - +1, 9009, - // C4[1], coeff of eps^4, polynomial in n of order 1 - -2944, 468, 135135, - // C4[1], coeff of eps^3, polynomial in n of order 2 - +5792, 1040, -1287, 135135, - // C4[1], coeff of eps^2, polynomial in n of order 3 - +5952, -11648, 9152, -2574, 135135, - // C4[1], coeff of eps^1, polynomial in n of order 4 - -64, -624, 4576, -6864, 3003, 135135, - // C4[2], coeff of eps^5, polynomial in n of order 0 - +8, 10725, - // C4[2], coeff of eps^4, polynomial in n of order 1 - +1856, -936, 225225, - // C4[2], coeff of eps^3, polynomial in n of order 2 - -8448, 4992, -1144, 225225, - // C4[2], coeff of eps^2, polynomial in n of order 3 - -1440, 4160, -4576, 1716, 225225, - // C4[3], coeff of eps^5, polynomial in n of order 0 - -136, 63063, - // C4[3], coeff of eps^4, polynomial in n of order 1 - +1024, -208, 105105, - // C4[3], coeff of eps^3, polynomial in n of order 2 - +3584, -3328, 1144, 315315, - // C4[4], coeff of eps^5, polynomial in n of order 0 - -128, 135135, - // C4[4], coeff of eps^4, polynomial in n of order 1 - -2560, 832, 405405, - // C4[5], coeff of eps^5, polynomial in n of order 0 - +128, 99099 - ]; - - g.Geodesic.prototype.C4coeff = function() { - var o = 0, k = 0, - l, j, p; - for (l = 0; l < g.nC4_; ++l) { // l is index of C4[l] - for (j = g.nC4_ - 1; j >= l; --j) { // coeff of eps^j - p = g.nC4_ - j - 1; // order of polynomial in n - this._C4x[k++] = m.polyval(p, C4_coeff, o, this._n) / - C4_coeff[o + p + 1]; - o += p + 2; - } - } - }; - - g.Geodesic.prototype.A3f = function(eps) { - // Evaluate A3 - return m.polyval(nA3x_ - 1, this._A3x, 0, eps); - }; - - g.Geodesic.prototype.C3f = function(eps, c) { - // Evaluate C3 coeffs - // Elements c[1] thru c[nC3_ - 1] are set - var mult = 1, - o = 0, - l, p; - for (l = 1; l < g.nC3_; ++l) { // l is index of C3[l] - p = g.nC3_ - l - 1; // order of polynomial in eps - mult *= eps; - c[l] = mult * m.polyval(p, this._C3x, o, eps); - o += p + 1; - } - }; - - g.Geodesic.prototype.C4f = function(eps, c) { - // Evaluate C4 coeffs - // Elements c[0] thru c[g.nC4_ - 1] are set - var mult = 1, - o = 0, - l, p; - for (l = 0; l < g.nC4_; ++l) { // l is index of C4[l] - p = g.nC4_ - l - 1; // order of polynomial in eps - c[l] = mult * m.polyval(p, this._C4x, o, eps); - o += p + 1; - mult *= eps; - } - }; - - // return s12b, m12b, m0, M12, M21 - g.Geodesic.prototype.Lengths = function(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, outmask, - C1a, C2a) { - // Return m12b = (reduced length)/_b; also calculate s12b = - // distance/_b, and m0 = coefficient of secular term in - // expression for reduced length. - outmask &= g.OUT_MASK; - var vals = {}, - m0x = 0, J12 = 0, A1 = 0, A2 = 0, - B1, B2, l, csig12, t; - if (outmask & (g.DISTANCE | g.REDUCEDLENGTH | g.GEODESICSCALE)) { - A1 = g.A1m1f(eps); - g.C1f(eps, C1a); - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - A2 = g.A2m1f(eps); - g.C2f(eps, C2a); - m0x = A1 - A2; - A2 = 1 + A2; - } - A1 = 1 + A1; - } - if (outmask & g.DISTANCE) { - B1 = g.SinCosSeries(true, ssig2, csig2, C1a) - - g.SinCosSeries(true, ssig1, csig1, C1a); - // Missing a factor of _b - vals.s12b = A1 * (sig12 + B1); - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - B2 = g.SinCosSeries(true, ssig2, csig2, C2a) - - g.SinCosSeries(true, ssig1, csig1, C2a); - J12 = m0x * sig12 + (A1 * B1 - A2 * B2); - } - } else if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - // Assume here that nC1_ >= nC2_ - for (l = 1; l <= g.nC2_; ++l) - C2a[l] = A1 * C1a[l] - A2 * C2a[l]; - J12 = m0x * sig12 + (g.SinCosSeries(true, ssig2, csig2, C2a) - - g.SinCosSeries(true, ssig1, csig1, C2a)); - } - if (outmask & g.REDUCEDLENGTH) { - vals.m0 = m0x; - // Missing a factor of _b. - // Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - vals.m12b = dn2 * (csig1 * ssig2) - dn1 * (ssig1 * csig2) - - csig1 * csig2 * J12; - } - if (outmask & g.GEODESICSCALE) { - csig12 = csig1 * csig2 + ssig1 * ssig2; - t = this._ep2 * (cbet1 - cbet2) * (cbet1 + cbet2) / (dn1 + dn2); - vals.M12 = csig12 + (t * ssig2 - csig2 * J12) * ssig1 / dn1; - vals.M21 = csig12 - (t * ssig1 - csig1 * J12) * ssig2 / dn2; - } - return vals; - }; - - // return sig12, salp1, calp1, salp2, calp2, dnm - g.Geodesic.prototype.InverseStart = function(sbet1, cbet1, dn1, - sbet2, cbet2, dn2, - lam12, slam12, clam12, - C1a, C2a) { - // Return a starting point for Newton's method in salp1 and calp1 - // (function value is -1). If Newton's method doesn't need to be - // used, return also salp2 and calp2 and function value is sig12. - // salp2, calp2 only updated if return val >= 0. - var vals = {}, - // bet12 = bet2 - bet1 in [0, pi); bet12a = bet2 + bet1 in (-pi, 0] - sbet12 = sbet2 * cbet1 - cbet2 * sbet1, - cbet12 = cbet2 * cbet1 + sbet2 * sbet1, - sbet12a, shortline, omg12, sbetm2, somg12, comg12, t, ssig12, csig12, - x, y, lamscale, betscale, k2, eps, cbet12a, bet12a, m12b, m0, nvals, - k, omg12a, lam12x; - vals.sig12 = -1; // Return value - // Volatile declaration needed to fix inverse cases - // 88.202499451857 0 -88.202499451857 179.981022032992859592 - // 89.262080389218 0 -89.262080389218 179.992207982775375662 - // 89.333123580033 0 -89.333123580032997687 179.99295812360148422 - // which otherwise fail with g++ 4.4.4 x86 -O3 - sbet12a = sbet2 * cbet1; - sbet12a += cbet2 * sbet1; - - shortline = cbet12 >= 0 && sbet12 < 0.5 && cbet2 * lam12 < 0.5; - if (shortline) { - sbetm2 = m.sq(sbet1 + sbet2); - // sin((bet1+bet2)/2)^2 - // = (sbet1 + sbet2)^2 / ((sbet1 + sbet2)^2 + (cbet1 + cbet2)^2) - sbetm2 /= sbetm2 + m.sq(cbet1 + cbet2); - vals.dnm = Math.sqrt(1 + this._ep2 * sbetm2); - omg12 = lam12 / (this._f1 * vals.dnm); - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } else { - somg12 = slam12; comg12 = clam12; - } - - vals.salp1 = cbet2 * somg12; - vals.calp1 = comg12 >= 0 ? - sbet12 + cbet2 * sbet1 * m.sq(somg12) / (1 + comg12) : - sbet12a - cbet2 * sbet1 * m.sq(somg12) / (1 - comg12); - - ssig12 = m.hypot(vals.salp1, vals.calp1); - csig12 = sbet1 * sbet2 + cbet1 * cbet2 * comg12; - if (shortline && ssig12 < this._etol2) { - // really short lines - vals.salp2 = cbet1 * somg12; - vals.calp2 = sbet12 - cbet1 * sbet2 * - (comg12 >= 0 ? m.sq(somg12) / (1 + comg12) : 1 - comg12); - // norm(vals.salp2, vals.calp2); - t = m.hypot(vals.salp2, vals.calp2); vals.salp2 /= t; vals.calp2 /= t; - // Set return value - vals.sig12 = Math.atan2(ssig12, csig12); - } else if (Math.abs(this._n) > 0.1 || // Skip astroid calc if too eccentric - csig12 >= 0 || - ssig12 >= 6 * Math.abs(this._n) * Math.PI * m.sq(cbet1)) { - // Nothing to do, zeroth order spherical approximation is OK - } else { - // Scale lam12 and bet2 to x, y coordinate system where antipodal - // point is at origin and singular point is at y = 0, x = -1. - lam12x = Math.atan2(-slam12, -clam12); // lam12 - pi - if (this.f >= 0) { // In fact f == 0 does not get here - // x = dlong, y = dlat - k2 = m.sq(sbet1) * this._ep2; - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - lamscale = this.f * cbet1 * this.A3f(eps) * Math.PI; - betscale = lamscale * cbet1; - - x = lam12x / lamscale; - y = sbet12a / betscale; - } else { // f < 0 - // x = dlat, y = dlong - cbet12a = cbet2 * cbet1 - sbet2 * sbet1; - bet12a = Math.atan2(sbet12a, cbet12a); - // In the case of lon12 = 180, this repeats a calculation made - // in Inverse. - nvals = this.Lengths(this._n, Math.PI + bet12a, - sbet1, -cbet1, dn1, sbet2, cbet2, dn2, - cbet1, cbet2, g.REDUCEDLENGTH, C1a, C2a); - m12b = nvals.m12b; m0 = nvals.m0; - x = -1 + m12b / (cbet1 * cbet2 * m0 * Math.PI); - betscale = x < -0.01 ? sbet12a / x : - -this.f * m.sq(cbet1) * Math.PI; - lamscale = betscale / cbet1; - y = lam12 / lamscale; - } - - if (y > -tol1_ && x > -1 - xthresh_) { - // strip near cut - if (this.f >= 0) { - vals.salp1 = Math.min(1, -x); - vals.calp1 = -Math.sqrt(1 - m.sq(vals.salp1)); - } else { - vals.calp1 = Math.max(x > -tol1_ ? 0 : -1, x); - vals.salp1 = Math.sqrt(1 - m.sq(vals.calp1)); - } - } else { - // Estimate alp1, by solving the astroid problem. - // - // Could estimate alpha1 = theta + pi/2, directly, i.e., - // calp1 = y/k; salp1 = -x/(1+k); for f >= 0 - // calp1 = x/(1+k); salp1 = -y/k; for f < 0 (need to check) - // - // However, it's better to estimate omg12 from astroid and use - // spherical formula to compute alp1. This reduces the mean number of - // Newton iterations for astroid cases from 2.24 (min 0, max 6) to 2.12 - // (min 0 max 5). The changes in the number of iterations are as - // follows: - // - // change percent - // 1 5 - // 0 78 - // -1 16 - // -2 0.6 - // -3 0.04 - // -4 0.002 - // - // The histogram of iterations is (m = number of iterations estimating - // alp1 directly, n = number of iterations estimating via omg12, total - // number of trials = 148605): - // - // iter m n - // 0 148 186 - // 1 13046 13845 - // 2 93315 102225 - // 3 36189 32341 - // 4 5396 7 - // 5 455 1 - // 6 56 0 - // - // Because omg12 is near pi, estimate work with omg12a = pi - omg12 - k = astroid(x, y); - omg12a = lamscale * ( this.f >= 0 ? -x * k/(1 + k) : -y * (1 + k)/k ); - somg12 = Math.sin(omg12a); comg12 = -Math.cos(omg12a); - // Update spherical estimate of alp1 using omg12 instead of - // lam12 - vals.salp1 = cbet2 * somg12; - vals.calp1 = sbet12a - - cbet2 * sbet1 * m.sq(somg12) / (1 - comg12); - } - } - // Sanity check on starting guess. Backwards check allows NaN through. - if (!(vals.salp1 <= 0.0)) { - // norm(vals.salp1, vals.calp1); - t = m.hypot(vals.salp1, vals.calp1); vals.salp1 /= t; vals.calp1 /= t; - } else { - vals.salp1 = 1; vals.calp1 = 0; - } - return vals; - }; - - // return lam12, salp2, calp2, sig12, ssig1, csig1, ssig2, csig2, eps, - // domg12, dlam12, - g.Geodesic.prototype.Lambda12 = function(sbet1, cbet1, dn1, - sbet2, cbet2, dn2, - salp1, calp1, slam120, clam120, - diffp, C1a, C2a, C3a) { - var vals = {}, - t, salp0, calp0, - somg1, comg1, somg2, comg2, somg12, comg12, B312, eta, k2, nvals; - if (sbet1 === 0 && calp1 === 0) - // Break degeneracy of equatorial line. This case has already been - // handled. - calp1 = -g.tiny_; - - // sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1; - calp0 = m.hypot(calp1, salp1 * sbet1); // calp0 > 0 - - // tan(bet1) = tan(sig1) * cos(alp1) - // tan(omg1) = sin(alp0) * tan(sig1) = tan(omg1)=tan(alp1)*sin(bet1) - vals.ssig1 = sbet1; somg1 = salp0 * sbet1; - vals.csig1 = comg1 = calp1 * cbet1; - // norm(vals.ssig1, vals.csig1); - t = m.hypot(vals.ssig1, vals.csig1); vals.ssig1 /= t; vals.csig1 /= t; - // norm(somg1, comg1); -- don't need to normalize! - - // Enforce symmetries in the case abs(bet2) = -bet1. Need to be careful - // about this case, since this can yield singularities in the Newton - // iteration. - // sin(alp2) * cos(bet2) = sin(alp0) - vals.salp2 = cbet2 !== cbet1 ? salp0 / cbet2 : salp1; - // calp2 = sqrt(1 - sq(salp2)) - // = sqrt(sq(calp0) - sq(sbet2)) / cbet2 - // and subst for calp0 and rearrange to give (choose positive sqrt - // to give alp2 in [0, pi/2]). - vals.calp2 = cbet2 !== cbet1 || Math.abs(sbet2) !== -sbet1 ? - Math.sqrt(m.sq(calp1 * cbet1) + (cbet1 < -sbet1 ? - (cbet2 - cbet1) * (cbet1 + cbet2) : - (sbet1 - sbet2) * (sbet1 + sbet2))) / - cbet2 : Math.abs(calp1); - // tan(bet2) = tan(sig2) * cos(alp2) - // tan(omg2) = sin(alp0) * tan(sig2). - vals.ssig2 = sbet2; somg2 = salp0 * sbet2; - vals.csig2 = comg2 = vals.calp2 * cbet2; - // norm(vals.ssig2, vals.csig2); - t = m.hypot(vals.ssig2, vals.csig2); vals.ssig2 /= t; vals.csig2 /= t; - // norm(somg2, comg2); -- don't need to normalize! - - // sig12 = sig2 - sig1, limit to [0, pi] - vals.sig12 = Math.atan2(Math.max(0, vals.csig1 * vals.ssig2 - - vals.ssig1 * vals.csig2), - vals.csig1 * vals.csig2 + - vals.ssig1 * vals.ssig2); - - // omg12 = omg2 - omg1, limit to [0, pi] - somg12 = Math.max(0, comg1 * somg2 - somg1 * comg2); - comg12 = comg1 * comg2 + somg1 * somg2; - // eta = omg12 - lam120 - eta = Math.atan2(somg12 * clam120 - comg12 * slam120, - comg12 * clam120 + somg12 * slam120); - k2 = m.sq(calp0) * this._ep2; - vals.eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - this.C3f(vals.eps, C3a); - B312 = (g.SinCosSeries(true, vals.ssig2, vals.csig2, C3a) - - g.SinCosSeries(true, vals.ssig1, vals.csig1, C3a)); - vals.domg12 = -this.f * this.A3f(vals.eps) * salp0 * (vals.sig12 + B312); - vals.lam12 = eta + vals.domg12; - if (diffp) { - if (vals.calp2 === 0) - vals.dlam12 = -2 * this._f1 * dn1 / sbet1; - else { - nvals = this.Lengths(vals.eps, vals.sig12, - vals.ssig1, vals.csig1, dn1, - vals.ssig2, vals.csig2, dn2, - cbet1, cbet2, g.REDUCEDLENGTH, C1a, C2a); - vals.dlam12 = nvals.m12b; - vals.dlam12 *= this._f1 / (vals.calp2 * cbet2); - } - } - return vals; - }; - - /** - * @summary Solve the inverse geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} lat2 the latitude of the second point in degrees. - * @param {number} lon2 the longitude of the second point in degrees. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results - * @description The lat1, lon1, lat2, lon2, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Inverse = function(lat1, lon1, lat2, lon2, outmask) { - var r, vals; - if (!outmask) outmask = g.STANDARD; - if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - outmask &= g.OUT_MASK; - r = this.InverseInt(lat1, lon1, lat2, lon2, outmask); - vals = r.vals; - if (outmask & g.AZIMUTH) { - vals.azi1 = m.atan2d(r.salp1, r.calp1); - vals.azi2 = m.atan2d(r.salp2, r.calp2); - } - return vals; - }; - - g.Geodesic.prototype.InverseInt = function(lat1, lon1, lat2, lon2, outmask) { - var vals = {}, - lon12, lon12s, lonsign, t, swapp, latsign, - sbet1, cbet1, sbet2, cbet2, s12x, m12x, - dn1, dn2, lam12, slam12, clam12, - sig12, calp1, salp1, calp2, salp2, C1a, C2a, C3a, meridian, nvals, - ssig1, csig1, ssig2, csig2, eps, omg12, dnm, - numit, salp1a, calp1a, salp1b, calp1b, - tripn, tripb, v, dv, dalp1, sdalp1, cdalp1, nsalp1, - lengthmask, salp0, calp0, alp12, k2, A4, C4a, B41, B42, - somg12, comg12, domg12, dbet1, dbet2, salp12, calp12, sdomg12, cdomg12; - // Compute longitude difference (AngDiff does this carefully). Result is - // in [-180, 180] but -180 is only for west-going geodesics. 180 is for - // east-going and meridional geodesics. - vals.lat1 = lat1 = m.LatFix(lat1); vals.lat2 = lat2 = m.LatFix(lat2); - // If really close to the equator, treat as on equator. - lat1 = m.AngRound(lat1); - lat2 = m.AngRound(lat2); - lon12 = m.AngDiff(lon1, lon2); lon12s = lon12.t; lon12 = lon12.s; - if (outmask & g.LONG_UNROLL) { - vals.lon1 = lon1; vals.lon2 = (lon1 + lon12) + lon12s; - } else { - vals.lon1 = m.AngNormalize(lon1); vals.lon2 = m.AngNormalize(lon2); - } - // Make longitude difference positive. - lonsign = lon12 >= 0 ? 1 : -1; - // If very close to being on the same half-meridian, then make it so. - lon12 = lonsign * m.AngRound(lon12); - lon12s = m.AngRound((180 - lon12) - lonsign * lon12s); - lam12 = lon12 * m.degree; - t = m.sincosd(lon12 > 90 ? lon12s : lon12); - slam12 = t.s; clam12 = (lon12 > 90 ? -1 : 1) * t.c; - - // Swap points so that point with higher (abs) latitude is point 1 - // If one latitude is a nan, then it becomes lat1. - swapp = Math.abs(lat1) < Math.abs(lat2) ? -1 : 1; - if (swapp < 0) { - lonsign *= -1; - t = lat1; - lat1 = lat2; - lat2 = t; - // swap(lat1, lat2); - } - // Make lat1 <= 0 - latsign = lat1 < 0 ? 1 : -1; - lat1 *= latsign; - lat2 *= latsign; - // Now we have - // - // 0 <= lon12 <= 180 - // -90 <= lat1 <= 0 - // lat1 <= lat2 <= -lat1 - // - // longsign, swapp, latsign register the transformation to bring the - // coordinates to this canonical form. In all cases, 1 means no change was - // made. We make these transformations so that there are few cases to - // check, e.g., on verifying quadrants in atan2. In addition, this - // enforces some symmetries in the results returned. - - t = m.sincosd(lat1); sbet1 = this._f1 * t.s; cbet1 = t.c; - // norm(sbet1, cbet1); - t = m.hypot(sbet1, cbet1); sbet1 /= t; cbet1 /= t; - // Ensure cbet1 = +epsilon at poles - cbet1 = Math.max(g.tiny_, cbet1); - - t = m.sincosd(lat2); sbet2 = this._f1 * t.s; cbet2 = t.c; - // norm(sbet2, cbet2); - t = m.hypot(sbet2, cbet2); sbet2 /= t; cbet2 /= t; - // Ensure cbet2 = +epsilon at poles - cbet2 = Math.max(g.tiny_, cbet2); - - // If cbet1 < -sbet1, then cbet2 - cbet1 is a sensitive measure of the - // |bet1| - |bet2|. Alternatively (cbet1 >= -sbet1), abs(sbet2) + sbet1 is - // a better measure. This logic is used in assigning calp2 in Lambda12. - // Sometimes these quantities vanish and in that case we force bet2 = +/- - // bet1 exactly. An example where is is necessary is the inverse problem - // 48.522876735459 0 -48.52287673545898293 179.599720456223079643 - // which failed with Visual Studio 10 (Release and Debug) - - if (cbet1 < -sbet1) { - if (cbet2 === cbet1) - sbet2 = sbet2 < 0 ? sbet1 : -sbet1; - } else { - if (Math.abs(sbet2) === -sbet1) - cbet2 = cbet1; - } - - dn1 = Math.sqrt(1 + this._ep2 * m.sq(sbet1)); - dn2 = Math.sqrt(1 + this._ep2 * m.sq(sbet2)); - - // index zero elements of these arrays are unused - C1a = new Array(g.nC1_ + 1); - C2a = new Array(g.nC2_ + 1); - C3a = new Array(g.nC3_); - - meridian = lat1 === -90 || slam12 === 0; - if (meridian) { - - // Endpoints are on a single full meridian, so the geodesic might - // lie on a meridian. - - calp1 = clam12; salp1 = slam12; // Head to the target longitude - calp2 = 1; salp2 = 0; // At the target we're heading north - - // tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - - // sig12 = sig2 - sig1 - sig12 = Math.atan2(Math.max(0, csig1 * ssig2 - ssig1 * csig2), - csig1 * csig2 + ssig1 * ssig2); - nvals = this.Lengths(this._n, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, cbet1, cbet2, - outmask | g.DISTANCE | g.REDUCEDLENGTH, - C1a, C2a); - s12x = nvals.s12b; - m12x = nvals.m12b; - // Ignore m0 - if (outmask & g.GEODESICSCALE) { - vals.M12 = nvals.M12; - vals.M21 = nvals.M21; - } - // Add the check for sig12 since zero length geodesics might yield - // m12 < 0. Test case was - // - // echo 20.001 0 20.001 0 | GeodSolve -i - // - // In fact, we will have sig12 > pi/2 for meridional geodesic - // which is not a shortest path. - if (sig12 < 1 || m12x >= 0) { - // Need at least 2, to handle 90 0 90 180 - if (sig12 < 3 * g.tiny_) - sig12 = m12x = s12x = 0; - m12x *= this._b; - s12x *= this._b; - vals.a12 = sig12 / m.degree; - } else - // m12 < 0, i.e., prolate and too close to anti-podal - meridian = false; - } - - somg12 = 2; - if (!meridian && - sbet1 === 0 && // and sbet2 == 0 - (this.f <= 0 || lon12s >= this.f * 180)) { - - // Geodesic runs along equator - calp1 = calp2 = 0; salp1 = salp2 = 1; - s12x = this.a * lam12; - sig12 = omg12 = lam12 / this._f1; - m12x = this._b * Math.sin(sig12); - if (outmask & g.GEODESICSCALE) - vals.M12 = vals.M21 = Math.cos(sig12); - vals.a12 = lon12 / this._f1; - - } else if (!meridian) { - - // Now point1 and point2 belong within a hemisphere bounded by a - // meridian and geodesic is neither meridional or equatorial. - - // Figure a starting point for Newton's method - nvals = this.InverseStart(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - lam12, slam12, clam12, C1a, C2a); - sig12 = nvals.sig12; - salp1 = nvals.salp1; - calp1 = nvals.calp1; - - if (sig12 >= 0) { - salp2 = nvals.salp2; - calp2 = nvals.calp2; - // Short lines (InverseStart sets salp2, calp2, dnm) - - dnm = nvals.dnm; - s12x = sig12 * this._b * dnm; - m12x = m.sq(dnm) * this._b * Math.sin(sig12 / dnm); - if (outmask & g.GEODESICSCALE) - vals.M12 = vals.M21 = Math.cos(sig12 / dnm); - vals.a12 = sig12 / m.degree; - omg12 = lam12 / (this._f1 * dnm); - } else { - - // Newton's method. This is a straightforward solution of f(alp1) = - // lambda12(alp1) - lam12 = 0 with one wrinkle. f(alp) has exactly one - // root in the interval (0, pi) and its derivative is positive at the - // root. Thus f(alp) is positive for alp > alp1 and negative for alp < - // alp1. During the course of the iteration, a range (alp1a, alp1b) is - // maintained which brackets the root and with each evaluation of - // f(alp) the range is shrunk if possible. Newton's method is - // restarted whenever the derivative of f is negative (because the new - // value of alp1 is then further from the solution) or if the new - // estimate of alp1 lies outside (0,pi); in this case, the new starting - // guess is taken to be (alp1a + alp1b) / 2. - numit = 0; - // Bracketing range - salp1a = g.tiny_; calp1a = 1; salp1b = g.tiny_; calp1b = -1; - for (tripn = false, tripb = false; numit < maxit2_; ++numit) { - // the WGS84 test set: mean = 1.47, sd = 1.25, max = 16 - // WGS84 and random input: mean = 2.85, sd = 0.60 - nvals = this.Lambda12(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - salp1, calp1, slam12, clam12, numit < maxit1_, - C1a, C2a, C3a); - v = nvals.lam12; - salp2 = nvals.salp2; - calp2 = nvals.calp2; - sig12 = nvals.sig12; - ssig1 = nvals.ssig1; - csig1 = nvals.csig1; - ssig2 = nvals.ssig2; - csig2 = nvals.csig2; - eps = nvals.eps; - domg12 = nvals.domg12; - dv = nvals.dlam12; - - // 2 * tol0 is approximately 1 ulp for a number in [0, pi]. - // Reversed test to allow escape with NaNs - if (tripb || !(Math.abs(v) >= (tripn ? 8 : 1) * tol0_)) - break; - // Update bracketing values - if (v > 0 && (numit < maxit1_ || calp1/salp1 > calp1b/salp1b)) { - salp1b = salp1; calp1b = calp1; - } else if (v < 0 && - (numit < maxit1_ || calp1/salp1 < calp1a/salp1a)) { - salp1a = salp1; calp1a = calp1; - } - if (numit < maxit1_ && dv > 0) { - dalp1 = -v/dv; - sdalp1 = Math.sin(dalp1); cdalp1 = Math.cos(dalp1); - nsalp1 = salp1 * cdalp1 + calp1 * sdalp1; - if (nsalp1 > 0 && Math.abs(dalp1) < Math.PI) { - calp1 = calp1 * cdalp1 - salp1 * sdalp1; - salp1 = nsalp1; - // norm(salp1, calp1); - t = m.hypot(salp1, calp1); salp1 /= t; calp1 /= t; - // In some regimes we don't get quadratic convergence because - // slope -> 0. So use convergence conditions based on epsilon - // instead of sqrt(epsilon). - tripn = Math.abs(v) <= 16 * tol0_; - continue; - } - } - // Either dv was not positive or updated value was outside legal - // range. Use the midpoint of the bracket as the next estimate. - // This mechanism is not needed for the WGS84 ellipsoid, but it does - // catch problems with more eccentric ellipsoids. Its efficacy is - // such for the WGS84 test set with the starting guess set to alp1 = - // 90deg: - // the WGS84 test set: mean = 5.21, sd = 3.93, max = 24 - // WGS84 and random input: mean = 4.74, sd = 0.99 - salp1 = (salp1a + salp1b)/2; - calp1 = (calp1a + calp1b)/2; - // norm(salp1, calp1); - t = m.hypot(salp1, calp1); salp1 /= t; calp1 /= t; - tripn = false; - tripb = (Math.abs(salp1a - salp1) + (calp1a - calp1) < tolb_ || - Math.abs(salp1 - salp1b) + (calp1 - calp1b) < tolb_); - } - lengthmask = outmask | - (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE) ? - g.DISTANCE : g.NONE); - nvals = this.Lengths(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, - lengthmask, C1a, C2a); - s12x = nvals.s12b; - m12x = nvals.m12b; - // Ignore m0 - if (outmask & g.GEODESICSCALE) { - vals.M12 = nvals.M12; - vals.M21 = nvals.M21; - } - m12x *= this._b; - s12x *= this._b; - vals.a12 = sig12 / m.degree; - if (outmask & g.AREA) { - // omg12 = lam12 - domg12 - sdomg12 = Math.sin(domg12); cdomg12 = Math.cos(domg12); - somg12 = slam12 * cdomg12 - clam12 * sdomg12; - comg12 = clam12 * cdomg12 + slam12 * sdomg12; - } - } - } - - if (outmask & g.DISTANCE) - vals.s12 = 0 + s12x; // Convert -0 to 0 - - if (outmask & g.REDUCEDLENGTH) - vals.m12 = 0 + m12x; // Convert -0 to 0 - - if (outmask & g.AREA) { - // From Lambda12: sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1; - calp0 = m.hypot(calp1, salp1 * sbet1); // calp0 > 0 - if (calp0 !== 0 && salp0 !== 0) { - // From Lambda12: tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - k2 = m.sq(calp0) * this._ep2; - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0). - A4 = m.sq(this.a) * calp0 * salp0 * this._e2; - // norm(ssig1, csig1); - t = m.hypot(ssig1, csig1); ssig1 /= t; csig1 /= t; - // norm(ssig2, csig2); - t = m.hypot(ssig2, csig2); ssig2 /= t; csig2 /= t; - C4a = new Array(g.nC4_); - this.C4f(eps, C4a); - B41 = g.SinCosSeries(false, ssig1, csig1, C4a); - B42 = g.SinCosSeries(false, ssig2, csig2, C4a); - vals.S12 = A4 * (B42 - B41); - } else - // Avoid problems with indeterminate sig1, sig2 on equator - vals.S12 = 0; - if (!meridian && somg12 > 1) { - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } - if (!meridian && - comg12 > -0.7071 && // Long difference not too big - sbet2 - sbet1 < 1.75) { // Lat difference not too big - // Use tan(Gamma/2) = tan(omg12/2) - // * (tan(bet1/2)+tan(bet2/2))/(1+tan(bet1/2)*tan(bet2/2)) - // with tan(x/2) = sin(x)/(1+cos(x)) - domg12 = 1 + comg12; dbet1 = 1 + cbet1; dbet2 = 1 + cbet2; - alp12 = 2 * Math.atan2( somg12 * (sbet1*dbet2 + sbet2*dbet1), - domg12 * (sbet1*sbet2 + dbet1*dbet2) ); - } else { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * calp1 - calp2 * salp1; - calp12 = calp2 * calp1 + salp2 * salp1; - // The right thing appears to happen if alp1 = +/-180 and alp2 = 0, viz - // salp12 = -0 and alp12 = -180. However this depends on the sign - // being attached to 0 correctly. The following ensures the correct - // behavior. - if (salp12 === 0 && calp12 < 0) { - salp12 = g.tiny_ * calp1; - calp12 = -1; - } - alp12 = Math.atan2(salp12, calp12); - } - vals.S12 += this._c2 * alp12; - vals.S12 *= swapp * lonsign * latsign; - // Convert -0 to 0 - vals.S12 += 0; - } - - // Convert calp, salp to azimuth accounting for lonsign, swapp, latsign. - if (swapp < 0) { - t = salp1; - salp1 = salp2; - salp2 = t; - // swap(salp1, salp2); - t = calp1; - calp1 = calp2; - calp2 = t; - // swap(calp1, calp2); - if (outmask & g.GEODESICSCALE) { - t = vals.M12; - vals.M12 = vals.M21; - vals.M21 = t; - // swap(vals.M12, vals.M21); - } - } - - salp1 *= swapp * lonsign; calp1 *= swapp * latsign; - salp2 *= swapp * lonsign; calp2 *= swapp * latsign; - - return {vals: vals, - salp1: salp1, calp1: calp1, - salp2: salp2, calp2: calp2}; - }; - - /** - * @summary Solve the general direct geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {bool} arcmode is the next parameter an arc length? - * @param {number} s12_a12 the (arcmode ? arc length : distance) from the - * first point to the second in (arcmode ? degrees : meters). - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are always - * set; s12 is included if arcmode is false. For details on the outmask - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.GenDirect = function(lat1, lon1, azi1, - arcmode, s12_a12, outmask) { - var line; - if (!outmask) outmask = g.STANDARD; - else if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) outmask |= g.DISTANCE_IN; - line = new l.GeodesicLine(this, lat1, lon1, azi1, outmask); - return line.GenPosition(arcmode, s12_a12, outmask); - }; - - /** - * @summary Solve the direct geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {number} s12 the distance from the first point to the second in - * meters. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, s12, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Direct = function(lat1, lon1, azi1, s12, outmask) { - return this.GenDirect(lat1, lon1, azi1, false, s12, outmask); - }; - - /** - * @summary Solve the direct geodesic problem with arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {number} a12 the arc length from the first point to the second in - * degrees. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.ArcDirect = function(lat1, lon1, azi1, a12, outmask) { - return this.GenDirect(lat1, lon1, azi1, true, a12, outmask); - }; - - /** - * @summary Create a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description For details on the caps parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Line = function(lat1, lon1, azi1, caps) { - return new l.GeodesicLine(this, lat1, lon1, azi1, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of distance. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {number} s12 the distance between point 1 and point 2 (meters); it - * can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.DirectLine = function(lat1, lon1, azi1, s12, caps) { - return this.GenDirectLine(lat1, lon1, azi1, false, s12, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {number} a12 the arc length between point 1 and point 2 (degrees); - * it can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.ArcDirectLine = function(lat1, lon1, azi1, a12, caps) { - return this.GenDirectLine(lat1, lon1, azi1, true, a12, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of either distance or arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {bool} arcmode boolean flag determining the meaning of the - * s12_a12. - * @param {number} s12_a12 if arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.GenDirectLine = function(lat1, lon1, azi1, - arcmode, s12_a12, caps) { - var t; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) caps |= g.DISTANCE_IN; - t = new l.GeodesicLine(this, lat1, lon1, azi1, caps); - t.GenSetDistance(arcmode, s12_a12); - return t; - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the inverse geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} lat2 the latitude of the second point in degrees. - * @param {number} lon2 the longitude of the second point in degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the inverse geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.InverseLine = function(lat1, lon1, lat2, lon2, caps) { - var r, t, azi1; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - r = this.InverseInt(lat1, lon1, lat2, lon2, g.ARC); - azi1 = m.atan2d(r.salp1, r.calp1); - // Ensure that a12 can be converted to a distance - if (caps & (g.OUT_MASK & g.DISTANCE_IN)) caps |= g.DISTANCE; - t = new l.GeodesicLine(this, lat1, lon1, azi1, caps, r.salp1, r.calp1); - t.SetArc(r.vals.a12); - return t; - }; - - /** - * @summary Create a {@link module:GeographicLib/PolygonArea.PolygonArea - * PolygonArea} object. - * @param {bool} [polyline = false] if true the new PolygonArea object - * describes a polyline instead of a polygon. - * @returns {object} the - * {@link module:GeographicLib/PolygonArea.PolygonArea - * PolygonArea} object - */ - g.Geodesic.prototype.Polygon = function(polyline) { - return new p.PolygonArea(this, polyline); - }; - - /** - * @summary a {@link module:GeographicLib/Geodesic.Geodesic Geodesic} object - * initialized for the WGS84 ellipsoid. - * @constant {object} - */ - g.WGS84 = new g.Geodesic(c.WGS84.a, c.WGS84.f); -})(GeographicLib.Geodesic, GeographicLib.GeodesicLine, - GeographicLib.PolygonArea, GeographicLib.Math, GeographicLib.Constants); - -/**************** GeodesicLine.js ****************/ -/* - * GeodesicLine.js - * Transcription of GeodesicLine.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER GeographicLib/Math.js, GeographicLib/Geodesic.js - -(function( - g, - /** - * @exports GeographicLib/GeodesicLine - * @description Solve geodesic problems on a single geodesic line via the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} - * class. - */ - l, m) { - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @property {number} lat1 the initial latitude (degrees). - * @property {number} lon1 the initial longitude (degrees). - * @property {number} azi1 the initial azimuth (degrees). - * @property {number} salp1 the sine of the azimuth at the first point. - * @property {number} calp1 the cosine the azimuth at the first point. - * @property {number} s13 the distance to point 3 (meters). - * @property {number} a13 the arc length to point 3 (degrees). - * @property {bitmask} caps the capabilities of the object. - * @summary Initialize a GeodesicLine object. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - * @classdesc Performs geodesic calculations along a given geodesic line. - * This object is usually instantiated by - * {@link module:GeographicLib/Geodesic.Geodesic#Line Geodesic.Line}. - * The methods - * {@link module:GeographicLib/Geodesic.Geodesic#DirectLine - * Geodesic.DirectLine} and - * {@link module:GeographicLib/Geodesic.Geodesic#InverseLine - * Geodesic.InverseLine} set in addition the position of a reference point - * 3. - * @param {object} geod a {@link module:GeographicLib/Geodesic.Geodesic - * Geodesic} object. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include; LATITUDE | AZIMUTH are always included. - */ - l.GeodesicLine = function(geod, lat1, lon1, azi1, caps, salp1, calp1) { - var t, cbet1, sbet1, eps, s, c; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - - this.a = geod.a; - this.f = geod.f; - this._b = geod._b; - this._c2 = geod._c2; - this._f1 = geod._f1; - this.caps = caps | g.LATITUDE | g.AZIMUTH | g.LONG_UNROLL; - - this.lat1 = m.LatFix(lat1); - this.lon1 = lon1; - if (typeof salp1 === 'undefined' || typeof calp1 === 'undefined') { - this.azi1 = m.AngNormalize(azi1); - t = m.sincosd(m.AngRound(this.azi1)); this.salp1 = t.s; this.calp1 = t.c; - } else { - this.azi1 = azi1; this.salp1 = salp1; this.calp1 = calp1; - } - t = m.sincosd(m.AngRound(this.lat1)); sbet1 = this._f1 * t.s; cbet1 = t.c; - // norm(sbet1, cbet1); - t = m.hypot(sbet1, cbet1); sbet1 /= t; cbet1 /= t; - // Ensure cbet1 = +epsilon at poles - cbet1 = Math.max(g.tiny_, cbet1); - this._dn1 = Math.sqrt(1 + geod._ep2 * m.sq(sbet1)); - - // Evaluate alp0 from sin(alp1) * cos(bet1) = sin(alp0), - this._salp0 = this.salp1 * cbet1; // alp0 in [0, pi/2 - |bet1|] - // Alt: calp0 = hypot(sbet1, calp1 * cbet1). The following - // is slightly better (consider the case salp1 = 0). - this._calp0 = m.hypot(this.calp1, this.salp1 * sbet1); - // Evaluate sig with tan(bet1) = tan(sig1) * cos(alp1). - // sig = 0 is nearest northward crossing of equator. - // With bet1 = 0, alp1 = pi/2, we have sig1 = 0 (equatorial line). - // With bet1 = pi/2, alp1 = -pi, sig1 = pi/2 - // With bet1 = -pi/2, alp1 = 0 , sig1 = -pi/2 - // Evaluate omg1 with tan(omg1) = sin(alp0) * tan(sig1). - // With alp0 in (0, pi/2], quadrants for sig and omg coincide. - // No atan2(0,0) ambiguity at poles since cbet1 = +epsilon. - // With alp0 = 0, omg1 = 0 for alp1 = 0, omg1 = pi for alp1 = pi. - this._ssig1 = sbet1; this._somg1 = this._salp0 * sbet1; - this._csig1 = this._comg1 = - sbet1 !== 0 || this.calp1 !== 0 ? cbet1 * this.calp1 : 1; - // norm(this._ssig1, this._csig1); // sig1 in (-pi, pi] - t = m.hypot(this._ssig1, this._csig1); - this._ssig1 /= t; this._csig1 /= t; - // norm(this._somg1, this._comg1); -- don't need to normalize! - - this._k2 = m.sq(this._calp0) * geod._ep2; - eps = this._k2 / (2 * (1 + Math.sqrt(1 + this._k2)) + this._k2); - - if (this.caps & g.CAP_C1) { - this._A1m1 = g.A1m1f(eps); - this._C1a = new Array(g.nC1_ + 1); - g.C1f(eps, this._C1a); - this._B11 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C1a); - s = Math.sin(this._B11); c = Math.cos(this._B11); - // tau1 = sig1 + B11 - this._stau1 = this._ssig1 * c + this._csig1 * s; - this._ctau1 = this._csig1 * c - this._ssig1 * s; - // Not necessary because C1pa reverts C1a - // _B11 = -SinCosSeries(true, _stau1, _ctau1, _C1pa); - } - - if (this.caps & g.CAP_C1p) { - this._C1pa = new Array(g.nC1p_ + 1); - g.C1pf(eps, this._C1pa); - } - - if (this.caps & g.CAP_C2) { - this._A2m1 = g.A2m1f(eps); - this._C2a = new Array(g.nC2_ + 1); - g.C2f(eps, this._C2a); - this._B21 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C2a); - } - - if (this.caps & g.CAP_C3) { - this._C3a = new Array(g.nC3_); - geod.C3f(eps, this._C3a); - this._A3c = -this.f * this._salp0 * geod.A3f(eps); - this._B31 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C3a); - } - - if (this.caps & g.CAP_C4) { - this._C4a = new Array(g.nC4_); // all the elements of _C4a are used - geod.C4f(eps, this._C4a); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0) - this._A4 = m.sq(this.a) * this._calp0 * this._salp0 * geod._e2; - this._B41 = g.SinCosSeries(false, this._ssig1, this._csig1, this._C4a); - } - - this.a13 = this.s13 = Number.NaN; - }; - - /** - * @summary Find the position on the line (general case). - * @param {bool} arcmode is the next parameter an arc length? - * @param {number} s12_a12 the (arcmode ? arc length : distance) from the - * first point to the second in (arcmode ? degrees : meters). - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set; s12 is included if arcmode is false. For details on the - * outmask parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - l.GeodesicLine.prototype.GenPosition = function(arcmode, s12_a12, - outmask) { - var vals = {}, - sig12, ssig12, csig12, B12, AB1, ssig2, csig2, tau12, s, c, serr, - omg12, lam12, lon12, E, sbet2, cbet2, somg2, comg2, salp2, calp2, dn2, - B22, AB2, J12, t, B42, salp12, calp12; - if (!outmask) outmask = g.STANDARD; - else if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - outmask &= this.caps & g.OUT_MASK; - vals.lat1 = this.lat1; vals.azi1 = this.azi1; - vals.lon1 = outmask & g.LONG_UNROLL ? - this.lon1 : m.AngNormalize(this.lon1); - if (arcmode) - vals.a12 = s12_a12; - else - vals.s12 = s12_a12; - if (!( arcmode || (this.caps & g.DISTANCE_IN & g.OUT_MASK) )) { - // Uninitialized or impossible distance calculation requested - vals.a12 = Number.NaN; - return vals; - } - - // Avoid warning about uninitialized B12. - B12 = 0; AB1 = 0; - if (arcmode) { - // Interpret s12_a12 as spherical arc length - sig12 = s12_a12 * m.degree; - t = m.sincosd(s12_a12); ssig12 = t.s; csig12 = t.c; - } else { - // Interpret s12_a12 as distance - tau12 = s12_a12 / (this._b * (1 + this._A1m1)); - s = Math.sin(tau12); - c = Math.cos(tau12); - // tau2 = tau1 + tau12 - B12 = -g.SinCosSeries(true, - this._stau1 * c + this._ctau1 * s, - this._ctau1 * c - this._stau1 * s, - this._C1pa); - sig12 = tau12 - (B12 - this._B11); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - if (Math.abs(this.f) > 0.01) { - // Reverted distance series is inaccurate for |f| > 1/100, so correct - // sig12 with 1 Newton iteration. The following table shows the - // approximate maximum error for a = WGS_a() and various f relative to - // GeodesicExact. - // erri = the error in the inverse solution (nm) - // errd = the error in the direct solution (series only) (nm) - // errda = the error in the direct solution - // (series + 1 Newton) (nm) - // - // f erri errd errda - // -1/5 12e6 1.2e9 69e6 - // -1/10 123e3 12e6 765e3 - // -1/20 1110 108e3 7155 - // -1/50 18.63 200.9 27.12 - // -1/100 18.63 23.78 23.37 - // -1/150 18.63 21.05 20.26 - // 1/150 22.35 24.73 25.83 - // 1/100 22.35 25.03 25.31 - // 1/50 29.80 231.9 30.44 - // 1/20 5376 146e3 10e3 - // 1/10 829e3 22e6 1.5e6 - // 1/5 157e6 3.8e9 280e6 - ssig2 = this._ssig1 * csig12 + this._csig1 * ssig12; - csig2 = this._csig1 * csig12 - this._ssig1 * ssig12; - B12 = g.SinCosSeries(true, ssig2, csig2, this._C1a); - serr = (1 + this._A1m1) * (sig12 + (B12 - this._B11)) - - s12_a12 / this._b; - sig12 = sig12 - serr / Math.sqrt(1 + this._k2 * m.sq(ssig2)); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - // Update B12 below - } - } - - // sig2 = sig1 + sig12 - ssig2 = this._ssig1 * csig12 + this._csig1 * ssig12; - csig2 = this._csig1 * csig12 - this._ssig1 * ssig12; - dn2 = Math.sqrt(1 + this._k2 * m.sq(ssig2)); - if (outmask & (g.DISTANCE | g.REDUCEDLENGTH | g.GEODESICSCALE)) { - if (arcmode || Math.abs(this.f) > 0.01) - B12 = g.SinCosSeries(true, ssig2, csig2, this._C1a); - AB1 = (1 + this._A1m1) * (B12 - this._B11); - } - // sin(bet2) = cos(alp0) * sin(sig2) - sbet2 = this._calp0 * ssig2; - // Alt: cbet2 = hypot(csig2, salp0 * ssig2); - cbet2 = m.hypot(this._salp0, this._calp0 * csig2); - if (cbet2 === 0) - // I.e., salp0 = 0, csig2 = 0. Break the degeneracy in this case - cbet2 = csig2 = g.tiny_; - // tan(alp0) = cos(sig2)*tan(alp2) - salp2 = this._salp0; calp2 = this._calp0 * csig2; // No need to normalize - - if (arcmode && (outmask & g.DISTANCE)) - vals.s12 = this._b * ((1 + this._A1m1) * sig12 + AB1); - - if (outmask & g.LONGITUDE) { - // tan(omg2) = sin(alp0) * tan(sig2) - somg2 = this._salp0 * ssig2; comg2 = csig2; // No need to normalize - E = m.copysign(1, this._salp0); - // omg12 = omg2 - omg1 - omg12 = outmask & g.LONG_UNROLL ? - E * (sig12 - - (Math.atan2(ssig2, csig2) - - Math.atan2(this._ssig1, this._csig1)) + - (Math.atan2(E * somg2, comg2) - - Math.atan2(E * this._somg1, this._comg1))) : - Math.atan2(somg2 * this._comg1 - comg2 * this._somg1, - comg2 * this._comg1 + somg2 * this._somg1); - lam12 = omg12 + this._A3c * - ( sig12 + (g.SinCosSeries(true, ssig2, csig2, this._C3a) - - this._B31)); - lon12 = lam12 / m.degree; - vals.lon2 = outmask & g.LONG_UNROLL ? this.lon1 + lon12 : - m.AngNormalize(m.AngNormalize(this.lon1) + m.AngNormalize(lon12)); - } - - if (outmask & g.LATITUDE) - vals.lat2 = m.atan2d(sbet2, this._f1 * cbet2); - - if (outmask & g.AZIMUTH) - vals.azi2 = m.atan2d(salp2, calp2); - - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - B22 = g.SinCosSeries(true, ssig2, csig2, this._C2a); - AB2 = (1 + this._A2m1) * (B22 - this._B21); - J12 = (this._A1m1 - this._A2m1) * sig12 + (AB1 - AB2); - if (outmask & g.REDUCEDLENGTH) - // Add parens around (_csig1 * ssig2) and (_ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - vals.m12 = this._b * (( dn2 * (this._csig1 * ssig2) - - this._dn1 * (this._ssig1 * csig2)) - - this._csig1 * csig2 * J12); - if (outmask & g.GEODESICSCALE) { - t = this._k2 * (ssig2 - this._ssig1) * (ssig2 + this._ssig1) / - (this._dn1 + dn2); - vals.M12 = csig12 + - (t * ssig2 - csig2 * J12) * this._ssig1 / this._dn1; - vals.M21 = csig12 - - (t * this._ssig1 - this._csig1 * J12) * ssig2 / dn2; - } - } - - if (outmask & g.AREA) { - B42 = g.SinCosSeries(false, ssig2, csig2, this._C4a); - if (this._calp0 === 0 || this._salp0 === 0) { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * this.calp1 - calp2 * this.salp1; - calp12 = calp2 * this.calp1 + salp2 * this.salp1; - } else { - // tan(alp) = tan(alp0) * sec(sig) - // tan(alp2-alp1) = (tan(alp2) -tan(alp1)) / (tan(alp2)*tan(alp1)+1) - // = calp0 * salp0 * (csig1-csig2) / (salp0^2 + calp0^2 * csig1*csig2) - // If csig12 > 0, write - // csig1 - csig2 = ssig12 * (csig1 * ssig12 / (1 + csig12) + ssig1) - // else - // csig1 - csig2 = csig1 * (1 - csig12) + ssig12 * ssig1 - // No need to normalize - salp12 = this._calp0 * this._salp0 * - (csig12 <= 0 ? this._csig1 * (1 - csig12) + ssig12 * this._ssig1 : - ssig12 * (this._csig1 * ssig12 / (1 + csig12) + this._ssig1)); - calp12 = m.sq(this._salp0) + m.sq(this._calp0) * this._csig1 * csig2; - } - vals.S12 = this._c2 * Math.atan2(salp12, calp12) + - this._A4 * (B42 - this._B41); - } - - if (!arcmode) - vals.a12 = sig12 / m.degree; - return vals; - }; - - /** - * @summary Find the position on the line given s12. - * @param {number} s12 the distance from the first point to the second in - * meters. - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, s12, and a12 fields of the result are - * always set; s12 is included if arcmode is false. For details on the - * outmask parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - l.GeodesicLine.prototype.Position = function(s12, outmask) { - return this.GenPosition(false, s12, outmask); - }; - - /** - * @summary Find the position on the line given a12. - * @param {number} a12 the arc length from the first point to the second in - * degrees. - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - l.GeodesicLine.prototype.ArcPosition = function(a12, outmask) { - return this.GenPosition(true, a12, outmask); - }; - - /** - * @summary Specify position of point 3 in terms of either distance or arc - * length. - * @param {bool} arcmode boolean flag determining the meaning of the second - * parameter; if arcmode is false, then the GeodesicLine object must have - * been constructed with caps |= DISTANCE_IN. - * @param {number} s13_a13 if arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - */ - l.GeodesicLine.prototype.GenSetDistance = function(arcmode, s13_a13) { - if (arcmode) - this.SetArc(s13_a13); - else - this.SetDistance(s13_a13); - }; - - /** - * @summary Specify position of point 3 in terms distance. - * @param {number} s13 the distance from point 1 to point 3 (meters); it - * can be negative. - */ - l.GeodesicLine.prototype.SetDistance = function(s13) { - var r; - this.s13 = s13; - r = this.GenPosition(false, this.s13, g.ARC); - this.a13 = 0 + r.a12; // the 0+ converts undefined into NaN - }; - - /** - * @summary Specify position of point 3 in terms of arc length. - * @param {number} a13 the arc length from point 1 to point 3 (degrees); - * it can be negative. - */ - l.GeodesicLine.prototype.SetArc = function(a13) { - var r; - this.a13 = a13; - r = this.GenPosition(true, this.a13, g.DISTANCE); - this.s13 = 0 + r.s12; // the 0+ converts undefined into NaN - }; - -})(GeographicLib.Geodesic, GeographicLib.GeodesicLine, GeographicLib.Math); - -/**************** PolygonArea.js ****************/ -/* - * PolygonArea.js - * Transcription of PolygonArea.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER GeographicLib/Math.js and GeographicLib/Geodesic.js - -(function( - /** - * @exports GeographicLib/PolygonArea - * @description Compute the area of geodesic polygons via the - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} - * class. - */ - p, g, m, a) { - - var transit, transitdirect, AreaReduceA, AreaReduceB; - transit = function(lon1, lon2) { - // Return 1 or -1 if crossing prime meridian in east or west direction. - // Otherwise return zero. - var lon12, cross; - // Compute lon12 the same way as Geodesic::Inverse. - lon1 = m.AngNormalize(lon1); - lon2 = m.AngNormalize(lon2); - lon12 = m.AngDiff(lon1, lon2).s; - cross = lon1 <= 0 && lon2 > 0 && lon12 > 0 ? 1 : - (lon2 <= 0 && lon1 > 0 && lon12 < 0 ? -1 : 0); - return cross; - }; - - // an alternate version of transit to deal with longitudes in the direct - // problem. - transitdirect = function(lon1, lon2) { - // We want to compute exactly - // int(ceil(lon2 / 360)) - int(ceil(lon1 / 360)) - // Since we only need the parity of the result we can use std::remquo but - // this is buggy with g++ 4.8.3 and requires C++11. So instead we do - lon1 = lon1 % 720.0; lon2 = lon2 % 720.0; - return ( ((lon2 <= 0 && lon2 > -360) || lon2 > 360 ? 1 : 0) - - ((lon1 <= 0 && lon1 > -360) || lon1 > 360 ? 1 : 0) ); - }; - - // Reduce Accumulator area - AreaReduceA = function(area, area0, crossings, reverse, sign) { - area.Remainder(area0); - if (crossings & 1) - area.Add( (area.Sum() < 0 ? 1 : -1) * area0/2 ); - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area.Negate(); - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area.Sum() > area0/2) - area.Add( -area0 ); - else if (area.Sum() <= -area0/2) - area.Add( +area0 ); - } else { - if (area.Sum() >= area0) - area.Add( -area0 ); - else if (area.Sum() < 0) - area.Add( +area0 ); - } - return 0 + area.Sum(); - }; - - // Reduce double area - AreaReduceB = function(area, area0, crossings, reverse, sign) { - area = m.remainder(area, area0); - if (crossings & 1) - area += (area < 0 ? 1 : -1) * area0/2; - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area *= -1; - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area > area0/2) - area -= area0; - else if (area <= -area0/2) - area += area0; - } else { - if (area >= area0) - area -= area0; - else if (area < 0) - area += area0; - } - return 0 + area; - }; - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @property {bool} polyline whether the PolygonArea object describes a - * polyline or a polygon. - * @property {number} num the number of vertices so far. - * @property {number} lat the current latitude (degrees). - * @property {number} lon the current longitude (degrees). - * @summary Initialize a PolygonArea object. - * @classdesc Computes the area and perimeter of a geodesic polygon. - * This object is usually instantiated by - * {@link module:GeographicLib/Geodesic.Geodesic#Polygon Geodesic.Polygon}. - * @param {object} geod a {@link module:GeographicLib/Geodesic.Geodesic - * Geodesic} object. - * @param {bool} [polyline = false] if true the new PolygonArea object - * describes a polyline instead of a polygon. - */ - p.PolygonArea = function(geod, polyline) { - this._geod = geod; - this.a = this._geod.a; - this.f = this._geod.f; - this._area0 = 4 * Math.PI * geod._c2; - this.polyline = !polyline ? false : polyline; - this._mask = g.LATITUDE | g.LONGITUDE | g.DISTANCE | - (this.polyline ? g.NONE : g.AREA | g.LONG_UNROLL); - if (!this.polyline) - this._areasum = new a.Accumulator(0); - this._perimetersum = new a.Accumulator(0); - this.Clear(); - }; - - /** - * @summary Clear the PolygonArea object, setting the number of vertices to - * 0. - */ - p.PolygonArea.prototype.Clear = function() { - this.num = 0; - this._crossings = 0; - if (!this.polyline) - this._areasum.Set(0); - this._perimetersum.Set(0); - this._lat0 = this._lon0 = this.lat = this.lon = Number.NaN; - }; - - /** - * @summary Add the next vertex to the polygon. - * @param {number} lat the latitude of the point (degrees). - * @param {number} lon the longitude of the point (degrees). - * @description This adds an edge from the current vertex to the new vertex. - */ - p.PolygonArea.prototype.AddPoint = function(lat, lon) { - var t; - if (this.num === 0) { - this._lat0 = this.lat = lat; - this._lon0 = this.lon = lon; - } else { - t = this._geod.Inverse(this.lat, this.lon, lat, lon, this._mask); - this._perimetersum.Add(t.s12); - if (!this.polyline) { - this._areasum.Add(t.S12); - this._crossings += transit(this.lon, lon); - } - this.lat = lat; - this.lon = lon; - } - ++this.num; - }; - - /** - * @summary Add the next edge to the polygon. - * @param {number} azi the azimuth at the current the point (degrees). - * @param {number} s the length of the edge (meters). - * @description This specifies the new vertex in terms of the edge from the - * current vertex. - */ - p.PolygonArea.prototype.AddEdge = function(azi, s) { - var t; - if (this.num) { - t = this._geod.Direct(this.lat, this.lon, azi, s, this._mask); - this._perimetersum.Add(s); - if (!this.polyline) { - this._areasum.Add(t.S12); - this._crossings += transitdirect(this.lon, t.lon2); - } - this.lat = t.lat2; - this.lon = t.lon2; - } - ++this.num; - }; - - /** - * @summary Compute the perimeter and area of the polygon. - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description Arbitrarily complex polygons are allowed. In the case of - * self-intersecting polygons the area is accumulated "algebraically", - * e.g., the areas of the 2 loops in a figure-8 polygon will partially - * cancel. If the object is a polygon (and not a polyline), the perimeter - * includes the length of a final edge connecting the current point to the - * initial point. If the object is a polyline, then area is nan. More - * points can be added to the polygon after this call. - */ - p.PolygonArea.prototype.Compute = function(reverse, sign) { - var vals = {number: this.num}, t, tempsum; - if (this.num < 2) { - vals.perimeter = 0; - if (!this.polyline) - vals.area = 0; - return vals; - } - if (this.polyline) { - vals.perimeter = this._perimetersum.Sum(); - return vals; - } - t = this._geod.Inverse(this.lat, this.lon, this._lat0, this._lon0, - this._mask); - vals.perimeter = this._perimetersum.Sum(t.s12); - tempsum = new a.Accumulator(this._areasum); - tempsum.Add(t.S12); - vals.area = AreaReduceA(tempsum, this._area0, - this._crossings + transit(this.lon, this._lon0), - reverse, sign); - return vals; - }; - - /** - * @summary Compute the perimeter and area of the polygon with a tentative - * new vertex. - * @param {number} lat the latitude of the point (degrees). - * @param {number} lon the longitude of the point (degrees). - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description A new vertex is *not* added to the polygon. - */ - p.PolygonArea.prototype.TestPoint = function(lat, lon, reverse, sign) { - var vals = {number: this.num + 1}, t, tempsum, crossings, i; - if (this.num === 0) { - vals.perimeter = 0; - if (!this.polyline) - vals.area = 0; - return vals; - } - vals.perimeter = this._perimetersum.Sum(); - tempsum = this.polyline ? 0 : this._areasum.Sum(); - crossings = this._crossings; - for (i = 0; i < (this.polyline ? 1 : 2); ++i) { - t = this._geod.Inverse( - i === 0 ? this.lat : lat, i === 0 ? this.lon : lon, - i !== 0 ? this._lat0 : lat, i !== 0 ? this._lon0 : lon, - this._mask); - vals.perimeter += t.s12; - if (!this.polyline) { - tempsum += t.S12; - crossings += transit(i === 0 ? this.lon : lon, - i !== 0 ? this._lon0 : lon); - } - } - - if (this.polyline) - return vals; - - vals.area = AreaReduceB(tempsum, this._area0, crossings, reverse, sign); - return vals; - }; - - /** - * @summary Compute the perimeter and area of the polygon with a tentative - * new edge. - * @param {number} azi the azimuth of the edge (degrees). - * @param {number} s the length of the edge (meters). - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description A new vertex is *not* added to the polygon. - */ - p.PolygonArea.prototype.TestEdge = function(azi, s, reverse, sign) { - var vals = {number: this.num ? this.num + 1 : 0}, t, tempsum, crossings; - if (this.num === 0) - return vals; - vals.perimeter = this._perimetersum.Sum() + s; - if (this.polyline) - return vals; - - tempsum = this._areasum.Sum(); - crossings = this._crossings; - t = this._geod.Direct(this.lat, this.lon, azi, s, this._mask); - tempsum += t.S12; - crossings += transitdirect(this.lon, t.lon2); - crossings += transit(t.lon2, this._lon0); - t = this._geod.Inverse(t.lat2, t.lon2, this._lat0, this._lon0, this._mask); - vals.perimeter += t.s12; - tempsum += t.S12; - - vals.area = AreaReduceB(tempsum, this._area0, crossings, reverse, sign); - return vals; - }; - -})(GeographicLib.PolygonArea, GeographicLib.Geodesic, - GeographicLib.Math, GeographicLib.Accumulator); - -/**************** DMS.js ****************/ -/* - * DMS.js - * Transcription of DMS.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -GeographicLib.DMS = {}; - -(function( - /** - * @exports GeographicLib/DMS - * @description Decode/Encode angles expressed as degrees, minutes, and - * seconds. This module defines several constants: - * - hemisphere indicator (returned by - * {@link module:GeographicLib/DMS.Decode Decode}) and a formatting - * indicator (used by - * {@link module:GeographicLib/DMS.Encode Encode}) - * - NONE = 0, no designator and format as plain angle; - * - LATITUDE = 1, a N/S designator and format as latitude; - * - LONGITUDE = 2, an E/W designator and format as longitude; - * - AZIMUTH = 3, format as azimuth; - * - the specification of the trailing component in - * {@link module:GeographicLib/DMS.Encode Encode} - * - DEGREE; - * - MINUTE; - * - SECOND. - */ - d) { - - var lookup, zerofill, internalDecode, numMatch, - hemispheres_ = "SNWE", - signs_ = "-+", - digits_ = "0123456789", - dmsindicators_ = "D'\":", - // dmsindicatorsu_ = "\u00b0\u2032\u2033"; // Unicode variants - dmsindicatorsu_ = "\u00b0'\"", // Use degree symbol - components_ = ["degrees", "minutes", "seconds"]; - lookup = function(s, c) { - return s.indexOf(c.toUpperCase()); - }; - zerofill = function(s, n) { - return String("0000").substr(0, Math.max(0, Math.min(4, n-s.length))) + - s; - }; - d.NONE = 0; - d.LATITUDE = 1; - d.LONGITUDE = 2; - d.AZIMUTH = 3; - d.DEGREE = 0; - d.MINUTE = 1; - d.SECOND = 2; - - /** - * @summary Decode a DMS string. - * @description The interpretation of the string is given in the - * documentation of the corresponding function, Decode(string&, flag&) - * in the {@link - * https://geographiclib.sourceforge.io/html/classGeographicLib_1_1DMS.html - * C++ DMS class} - * @param {string} dms the string. - * @returns {object} r where r.val is the decoded value (degrees) and r.ind - * is a hemisphere designator, one of NONE, LATITUDE, LONGITUDE. - * @throws an error if the string is illegal. - */ - d.Decode = function(dms) { - var dmsa = dms, end, - v = 0, i = 0, mi, pi, vals, - ind1 = d.NONE, ind2, p, pa, pb; - dmsa = dmsa - .replace(/\u2212/g, '-') // U+2212 minus sign - .replace(/\u00b0/g, 'd') // U+00b0 degree symbol - .replace(/\u00ba/g, 'd') // U+00ba alt symbol - .replace(/\u2070/g, 'd') // U+2070 sup zero - .replace(/\u02da/g, 'd') // U+02da ring above - .replace(/\u2032/g, '\'') // U+2032 prime - .replace(/\u00b4/g, '\'') // U+00b4 acute accent - .replace(/\u2019/g, '\'') // U+2019 right single quote - .replace(/\u2033/g, '"') // U+2033 double prime - .replace(/\u201d/g, '"') // U+201d right double quote - .replace(/\u00a0/g, '') // U+00a0 non-breaking space - .replace(/\u202f/g, '') // U+202f narrow space - .replace(/\u2007/g, '') // U+2007 figure space - .replace(/''/g, '"') // '' -> " - .trim(); - - end = dmsa.length; - // p is pointer to the next piece that needs decoding - for (p = 0; p < end; p = pb, ++i) { - pa = p; - // Skip over initial hemisphere letter (for i == 0) - if (i === 0 && lookup(hemispheres_, dmsa.charAt(pa)) >= 0) - ++pa; - // Skip over initial sign (checking for it if i == 0) - if (i > 0 || (pa < end && lookup(signs_, dmsa.charAt(pa)) >= 0)) - ++pa; - // Find next sign - mi = dmsa.substr(pa, end - pa).indexOf('-'); - pi = dmsa.substr(pa, end - pa).indexOf('+'); - if (mi < 0) mi = end; else mi += pa; - if (pi < 0) pi = end; else pi += pa; - pb = Math.min(mi, pi); - vals = internalDecode(dmsa.substr(p, pb - p)); - v += vals.val; ind2 = vals.ind; - if (ind1 === d.NONE) - ind1 = ind2; - else if (!(ind2 === d.NONE || ind1 === ind2)) - throw new Error("Incompatible hemisphere specifies in " + - dmsa.substr(0, pb)); - } - if (i === 0) - throw new Error("Empty or incomplete DMS string " + dmsa); - return {val: v, ind: ind1}; - }; - - internalDecode = function(dmsa) { - var vals = {}, errormsg = "", - sign, beg, end, ind1, k, - ipieces, fpieces, npiece, - icurrent, fcurrent, ncurrent, p, - pointseen, - digcount, intcount, - x; - do { // Executed once (provides the ability to break) - sign = 1; - beg = 0; end = dmsa.length; - ind1 = d.NONE; - k = -1; - if (end > beg && (k = lookup(hemispheres_, dmsa.charAt(beg))) >= 0) { - ind1 = (k & 2) ? d.LONGITUDE : d.LATITUDE; - sign = (k & 1) ? 1 : -1; - ++beg; - } - if (end > beg && - (k = lookup(hemispheres_, dmsa.charAt(end-1))) >= 0) { - if (k >= 0) { - if (ind1 !== d.NONE) { - if (dmsa.charAt(beg - 1).toUpperCase() === - dmsa.charAt(end - 1).toUpperCase()) - errormsg = "Repeated hemisphere indicators " + - dmsa.charAt(beg - 1) + " in " + - dmsa.substr(beg - 1, end - beg + 1); - else - errormsg = "Contradictory hemisphere indicators " + - dmsa.charAt(beg - 1) + " and " + dmsa.charAt(end - 1) + " in " + - dmsa.substr(beg - 1, end - beg + 1); - break; - } - ind1 = (k & 2) ? d.LONGITUDE : d.LATITUDE; - sign = (k & 1) ? 1 : -1; - --end; - } - } - if (end > beg && (k = lookup(signs_, dmsa.charAt(beg))) >= 0) { - if (k >= 0) { - sign *= k ? 1 : -1; - ++beg; - } - } - if (end === beg) { - errormsg = "Empty or incomplete DMS string " + dmsa; - break; - } - ipieces = [0, 0, 0]; - fpieces = [0, 0, 0]; - npiece = 0; - icurrent = 0; - fcurrent = 0; - ncurrent = 0; - p = beg; - pointseen = false; - digcount = 0; - intcount = 0; - while (p < end) { - x = dmsa.charAt(p++); - if ((k = lookup(digits_, x)) >= 0) { - ++ncurrent; - if (digcount > 0) { - ++digcount; // Count of decimal digits - } else { - icurrent = 10 * icurrent + k; - ++intcount; - } - } else if (x === '.') { - if (pointseen) { - errormsg = "Multiple decimal points in " + - dmsa.substr(beg, end - beg); - break; - } - pointseen = true; - digcount = 1; - } else if ((k = lookup(dmsindicators_, x)) >= 0) { - if (k >= 3) { - if (p === end) { - errormsg = "Illegal for colon to appear at the end of " + - dmsa.substr(beg, end - beg); - break; - } - k = npiece; - } - if (k === npiece - 1) { - errormsg = "Repeated " + components_[k] + - " component in " + dmsa.substr(beg, end - beg); - break; - } else if (k < npiece) { - errormsg = components_[k] + " component follows " + - components_[npiece - 1] + " component in " + - dmsa.substr(beg, end - beg); - break; - } - if (ncurrent === 0) { - errormsg = "Missing numbers in " + components_[k] + - " component of " + dmsa.substr(beg, end - beg); - break; - } - if (digcount > 0) { - fcurrent = parseFloat(dmsa.substr(p - intcount - digcount - 1, - intcount + digcount)); - icurrent = 0; - } - ipieces[k] = icurrent; - fpieces[k] = icurrent + fcurrent; - if (p < end) { - npiece = k + 1; - icurrent = fcurrent = 0; - ncurrent = digcount = intcount = 0; - } - } else if (lookup(signs_, x) >= 0) { - errormsg = "Internal sign in DMS string " + - dmsa.substr(beg, end - beg); - break; - } else { - errormsg = "Illegal character " + x + " in DMS string " + - dmsa.substr(beg, end - beg); - break; - } - } - if (errormsg.length) - break; - if (lookup(dmsindicators_, dmsa.charAt(p - 1)) < 0) { - if (npiece >= 3) { - errormsg = "Extra text following seconds in DMS string " + - dmsa.substr(beg, end - beg); - break; - } - if (ncurrent === 0) { - errormsg = "Missing numbers in trailing component of " + - dmsa.substr(beg, end - beg); - break; - } - if (digcount > 0) { - fcurrent = parseFloat(dmsa.substr(p - intcount - digcount, - intcount + digcount)); - icurrent = 0; - } - ipieces[npiece] = icurrent; - fpieces[npiece] = icurrent + fcurrent; - } - if (pointseen && digcount === 0) { - errormsg = "Decimal point in non-terminal component of " + - dmsa.substr(beg, end - beg); - break; - } - // Note that we accept 59.999999... even though it rounds to 60. - if (ipieces[1] >= 60 || fpieces[1] > 60) { - errormsg = "Minutes " + fpieces[1] + " not in range [0,60)"; - break; - } - if (ipieces[2] >= 60 || fpieces[2] > 60) { - errormsg = "Seconds " + fpieces[2] + " not in range [0,60)"; - break; - } - vals.ind = ind1; - // Assume check on range of result is made by calling routine (which - // might be able to offer a better diagnostic). - vals.val = sign * - ( fpieces[2] ? (60*(60*fpieces[0] + fpieces[1]) + fpieces[2]) / 3600 : - ( fpieces[1] ? (60*fpieces[0] + fpieces[1]) / 60 : fpieces[0] ) ); - return vals; - } while (false); - vals.val = numMatch(dmsa); - if (vals.val === 0) - throw new Error(errormsg); - else - vals.ind = d.NONE; - return vals; - }; - - numMatch = function(s) { - var t, sign, p0, p1; - if (s.length < 3) - return 0; - t = s.toUpperCase().replace(/0+$/, ""); - sign = t.charAt(0) === '-' ? -1 : 1; - p0 = t.charAt(0) === '-' || t.charAt(0) === '+' ? 1 : 0; - p1 = t.length - 1; - if (p1 + 1 < p0 + 3) - return 0; - // Strip off sign and trailing 0s - t = t.substr(p0, p1 + 1 - p0); // Length at least 3 - if (t === "NAN" || t === "1.#QNAN" || t === "1.#SNAN" || t === "1.#IND" || - t === "1.#R") - return Number.NaN; - else if (t === "INF" || t === "1.#INF") - return sign * Number.POSITIVE_INFINITY; - return 0; - }; - - /** - * @summary Decode two DMS strings interpreting them as a latitude/longitude - * pair. - * @param {string} stra the first string. - * @param {string} strb the first string. - * @param {bool} [longfirst = false] if true assume then longitude is given - * first (in the absence of any hemisphere indicators). - * @returns {object} r where r.lat is the decoded latitude and r.lon is the - * decoded longitude (both in degrees). - * @throws an error if the strings are illegal. - */ - d.DecodeLatLon = function(stra, strb, longfirst) { - var vals = {}, - valsa = d.Decode(stra), - valsb = d.Decode(strb), - a = valsa.val, ia = valsa.ind, - b = valsb.val, ib = valsb.ind, - lat, lon; - if (!longfirst) longfirst = false; - if (ia === d.NONE && ib === d.NONE) { - // Default to lat, long unless longfirst - ia = longfirst ? d.LONGITUDE : d.LATITUDE; - ib = longfirst ? d.LATITUDE : d.LONGITUDE; - } else if (ia === d.NONE) - ia = d.LATITUDE + d.LONGITUDE - ib; - else if (ib === d.NONE) - ib = d.LATITUDE + d.LONGITUDE - ia; - if (ia === ib) - throw new Error("Both " + stra + " and " + strb + " interpreted as " + - (ia === d.LATITUDE ? "latitudes" : "longitudes")); - lat = ia === d.LATITUDE ? a : b; - lon = ia === d.LATITUDE ? b : a; - if (Math.abs(lat) > 90) - throw new Error("Latitude " + lat + " not in [-90,90]"); - vals.lat = lat; - vals.lon = lon; - return vals; - }; - - /** - * @summary Decode a DMS string interpreting it as an arc length. - * @param {string} angstr the string (this must not include a hemisphere - * indicator). - * @returns {number} the arc length (degrees). - * @throws an error if the string is illegal. - */ - d.DecodeAngle = function(angstr) { - var vals = d.Decode(angstr), - ang = vals.val, ind = vals.ind; - if (ind !== d.NONE) - throw new Error("Arc angle " + angstr + - " includes a hemisphere N/E/W/S"); - return ang; - }; - - /** - * @summary Decode a DMS string interpreting it as an azimuth. - * @param {string} azistr the string (this may include an E/W hemisphere - * indicator). - * @returns {number} the azimuth (degrees). - * @throws an error if the string is illegal. - */ - d.DecodeAzimuth = function(azistr) { - var vals = d.Decode(azistr), - azi = vals.val, ind = vals.ind; - if (ind === d.LATITUDE) - throw new Error("Azimuth " + azistr + " has a latitude hemisphere N/S"); - return azi; - }; - - /** - * @summary Convert angle (in degrees) into a DMS string (using °, ', - * and "). - * @param {number} angle input angle (degrees). - * @param {number} trailing one of DEGREE, MINUTE, or SECOND to indicate - * the trailing component of the string (this component is given as a - * decimal number if necessary). - * @param {number} prec the number of digits after the decimal point for - * the trailing component. - * @param {number} [ind = NONE] a formatting indicator, one of NONE, - * LATITUDE, LONGITUDE, AZIMUTH. - * @returns {string} the resulting string formatted as follows: - * * NONE, signed result no leading zeros on degrees except in the units - * place, e.g., -8°03'. - * * LATITUDE, trailing N or S hemisphere designator, no sign, pad - * degrees to 2 digits, e.g., 08°03'S. - * * LONGITUDE, trailing E or W hemisphere designator, no sign, pad - * degrees to 3 digits, e.g., 008°03'W. - * * AZIMUTH, convert to the range [0, 360°), no sign, pad degrees to - * 3 digits, e.g., 351°57'. - */ - d.Encode = function(angle, trailing, prec, ind) { - // Assume check on range of input angle has been made by calling - // routine (which might be able to offer a better diagnostic). - var scale = 1, i, sign, - idegree, fdegree, f, pieces, ip, fp, s; - if (!ind) ind = d.NONE; - if (!isFinite(angle)) - return angle < 0 ? String("-inf") : - (angle > 0 ? String("inf") : String("nan")); - - // 15 - 2 * trailing = ceiling(log10(2^53/90/60^trailing)). - // This suffices to give full real precision for numbers in [-90,90] - prec = Math.min(15 - 2 * trailing, prec); - for (i = 0; i < trailing; ++i) - scale *= 60; - for (i = 0; i < prec; ++i) - scale *= 10; - if (ind === d.AZIMUTH) - angle -= Math.floor(angle/360) * 360; - sign = angle < 0 ? -1 : 1; - angle *= sign; - - // Break off integer part to preserve precision in manipulation of - // fractional part. - idegree = Math.floor(angle); - fdegree = (angle - idegree) * scale + 0.5; - f = Math.floor(fdegree); - // Implement the "round ties to even" rule - fdegree = (f === fdegree && (f & 1) === 1) ? f - 1 : f; - fdegree /= scale; - - fdegree = Math.floor((angle - idegree) * scale + 0.5) / scale; - if (fdegree >= 1) { - idegree += 1; - fdegree -= 1; - } - pieces = [fdegree, 0, 0]; - for (i = 1; i <= trailing; ++i) { - ip = Math.floor(pieces[i - 1]); - fp = pieces[i - 1] - ip; - pieces[i] = fp * 60; - pieces[i - 1] = ip; - } - pieces[0] += idegree; - s = ""; - if (ind === d.NONE && sign < 0) - s += '-'; - switch (trailing) { - case d.DEGREE: - s += zerofill(pieces[0].toFixed(prec), - ind === d.NONE ? 0 : - 1 + Math.min(ind, 2) + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(0); - break; - default: - s += zerofill(pieces[0].toFixed(0), - ind === d.NONE ? 0 : 1 + Math.min(ind, 2)) + - dmsindicatorsu_.charAt(0); - switch (trailing) { - case d.MINUTE: - s += zerofill(pieces[1].toFixed(prec), 2 + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(1); - break; - case d.SECOND: - s += zerofill(pieces[1].toFixed(0), 2) + dmsindicatorsu_.charAt(1); - s += zerofill(pieces[2].toFixed(prec), 2 + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(2); - break; - default: - break; - } - } - if (ind !== d.NONE && ind !== d.AZIMUTH) - s += hemispheres_.charAt((ind === d.LATITUDE ? 0 : 2) + - (sign < 0 ? 0 : 1)); - return s; - }; -})(GeographicLib.DMS); - -cb(GeographicLib); - -})(function(geo) { - if (typeof module === 'object' && module.exports) { - /******** support loading with node's require ********/ - module.exports = geo; - } else if (typeof define === 'function' && define.amd) { - /******** support loading with AMD ********/ - define('geographiclib', [], function() { return geo; }); - } else { - /******** otherwise just pollute our global namespace ********/ - window.GeographicLib = geo; - } -}); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/geographiclib.min.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/geographiclib.min.js deleted file mode 100644 index 1e0202b84ef5eb38e7c05efd5dfd795deb9ec4a8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/geographiclib.min.js +++ /dev/null @@ -1,1731 +0,0 @@ -/* - * Geodesic routines from GeographicLib translated to JavaScript. See - * https://geographiclib.sourceforge.io/html/js/ - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013), - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * This file is the concatenation and compression of the JavaScript files in - * doc/scripts/GeographicLib in the source tree for GeographicLib. - * - * Copyright (c) Charles Karney (2011-2015) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - * - * Version: 1.50 - * File inventory: - * Math.js Geodesic.js GeodesicLine.js PolygonArea.js DMS.js - */ -(function(cb){ -// Math.js -"use strict"; -var GeographicLib={}; -GeographicLib.Constants={}; -GeographicLib.Math={}; -GeographicLib.Accumulator={}; -(function( -c){ -c.WGS84={a:6378137,f:1/298.257223563}; -c.version={major:1,minor:50,patch:0}; -c.version_string="1.50"; -})(GeographicLib.Constants); -(function( -m){ -m.digits=53; -m.epsilon=Math.pow(0.5,m.digits-1); -m.degree=Math.PI/180; -m.sq=function(x){return x*x;}; -m.hypot=Math.hypot||function(x,y){ -var a,b; -x=Math.abs(x); -y=Math.abs(y); -a=Math.max(x,y);b=Math.min(x,y)/(a?a:1); -return a*Math.sqrt(1+b*b); -}; -m.cbrt=Math.cbrt||function(x){ -var y=Math.pow(Math.abs(x),1/3); -return x>0?y:(x<0?-y:x); -}; -m.log1p=Math.log1p||function(x){ -var y=1+x, -z=y-1; -return z===0?x:x*Math.log(y)/z; -}; -m.atanh=Math.atanh||function(x){ -var y=Math.abs(x); -y=m.log1p(2*y/(1-y))/2; -return x>0?y:(x<0?-y:x); -}; -m.copysign=function(x,y){ -return Math.abs(x)*(y<0||(y===0&&1/y<0)?-1:1); -}; -m.sum=function(u,v){ -var s=u+v, -up=s-v, -vpp=s-up, -t; -up-=u; -vpp-=v; -t=-(up+vpp); -return{s:s,t:t}; -}; -m.polyval=function(N,p,s,x){ -var y=N<0?0:p[s++]; -while(--N>=0)y=y*x+p[s++]; -return y; -}; -m.AngRound=function(x){ -if(x===0)return x; -var z=1/16, -y=Math.abs(x); -y=y90?Number.NaN:x; -}; -m.AngDiff=function(x,y){ -var r=m.sum(m.AngNormalize(-x),m.AngNormalize(y)), -d=m.AngNormalize(r.s), -t=r.t; -return m.sum(d===180&&t>0?-180:d,t); -}; -m.sincosd=function(x){ -var r,q,s,c,sinx,cosx; -r=x%360; -q=0+Math.round(r/90); -r-=90*q; -r*=this.degree; -s=Math.sin(r);c=Math.cos(r); -switch(q&3){ -case 0:sinx=s;cosx=c;break; -case 1:sinx=c;cosx=-s;break; -case 2:sinx=-s;cosx=-c;break; -default:sinx=-c;cosx=s;break; -} -if(x!==0){sinx+=0;cosx+=0;} -return{s:sinx,c:cosx}; -}; -m.atan2d=function(y,x){ -var q=0,t,ang; -if(Math.abs(y)>Math.abs(x)){t=x;x=y;y=t;q=2;} -if(x<0){x=-x;++q;} -ang=Math.atan2(y,x)/this.degree; -switch(q){ -case 1:ang=(y>=0?180:-180)-ang;break; -case 2:ang=90-ang;break; -case 3:ang=-90+ang;break; -} -return ang; -}; -})(GeographicLib.Math); -(function( -a,m){ -a.Accumulator=function(y){ -this.Set(y); -}; -a.Accumulator.prototype.Set=function(y){ -if(!y)y=0; -if(y.constructor===a.Accumulator){ -this._s=y._s; -this._t=y._t; -}else{ -this._s=y; -this._t=0; -} -}; -a.Accumulator.prototype.Add=function(y){ -var u=m.sum(y,this._t), -v=m.sum(u.s,this._s); -u=u.t; -this._s=v.s; -this._t=v.t; -if(this._s===0) -this._s=u; -else -this._t+=u; -}; -a.Accumulator.prototype.Sum=function(y){ -var b; -if(!y) -return this._s; -else{ -b=new a.Accumulator(this); -b.Add(y); -return b._s; -} -}; -a.Accumulator.prototype.Negate=function(){ -this._s*=-1; -this._t*=-1; -}; -a.Accumulator.prototype.Remainder=function(y){ -this._s=m.remainder(this._s,y); -this.Add(0); -}; -})(GeographicLib.Accumulator,GeographicLib.Math); -// Geodesic.js -GeographicLib.Geodesic={}; -GeographicLib.GeodesicLine={}; -GeographicLib.PolygonArea={}; -(function( -g,l,p,m,c){ -var GEOGRAPHICLIB_GEODESIC_ORDER=6, -nA1_=GEOGRAPHICLIB_GEODESIC_ORDER, -nA2_=GEOGRAPHICLIB_GEODESIC_ORDER, -nA3_=GEOGRAPHICLIB_GEODESIC_ORDER, -nA3x_=nA3_, -nC3x_,nC4x_, -maxit1_=20, -maxit2_=maxit1_+m.digits+10, -tol0_=m.epsilon, -tol1_=200*tol0_, -tol2_=Math.sqrt(tol0_), -tolb_=tol0_*tol1_, -xthresh_=1000*tol2_, -CAP_NONE=0, -CAP_ALL=0x1F, -CAP_MASK=CAP_ALL, -OUT_ALL=0x7F80, -astroid, -A1m1f_coeff,C1f_coeff,C1pf_coeff, -A2m1f_coeff,C2f_coeff, -A3_coeff,C3_coeff,C4_coeff; -g.tiny_=Math.sqrt(Number.MIN_VALUE); -g.nC1_=GEOGRAPHICLIB_GEODESIC_ORDER; -g.nC1p_=GEOGRAPHICLIB_GEODESIC_ORDER; -g.nC2_=GEOGRAPHICLIB_GEODESIC_ORDER; -g.nC3_=GEOGRAPHICLIB_GEODESIC_ORDER; -g.nC4_=GEOGRAPHICLIB_GEODESIC_ORDER; -nC3x_=(g.nC3_*(g.nC3_-1))/2; -nC4x_=(g.nC4_*(g.nC4_+1))/2; -g.CAP_C1=1<<0; -g.CAP_C1p=1<<1; -g.CAP_C2=1<<2; -g.CAP_C3=1<<3; -g.CAP_C4=1<<4; -g.NONE=0; -g.ARC=1<<6; -g.LATITUDE=1<<7|CAP_NONE; -g.LONGITUDE=1<<8|g.CAP_C3; -g.AZIMUTH=1<<9|CAP_NONE; -g.DISTANCE=1<<10|g.CAP_C1; -g.STANDARD=g.LATITUDE|g.LONGITUDE|g.AZIMUTH|g.DISTANCE; -g.DISTANCE_IN=1<<11|g.CAP_C1|g.CAP_C1p; -g.REDUCEDLENGTH=1<<12|g.CAP_C1|g.CAP_C2; -g.GEODESICSCALE=1<<13|g.CAP_C1|g.CAP_C2; -g.AREA=1<<14|g.CAP_C4; -g.ALL=OUT_ALL|CAP_ALL; -g.LONG_UNROLL=1<<15; -g.OUT_MASK=OUT_ALL|g.LONG_UNROLL; -g.SinCosSeries=function(sinp,sinx,cosx,c){ -var k=c.length, -n=k-(sinp?1:0), -ar=2*(cosx-sinx)*(cosx+sinx), -y0=n&1?c[--k]:0,y1=0; -n=Math.floor(n/2); -while(n--){ -y1=ar*y0-y1+c[--k]; -y0=ar*y1-y0+c[--k]; -} -return(sinp?2*sinx*cosx*y0: -cosx*(y0-y1)); -}; -astroid=function(x,y){ -var k, -p=m.sq(x), -q=m.sq(y), -r=(p+q-1)/6, -S,r2,r3,disc,u,T3,T,ang,v,uv,w; -if(!(q===0&&r<=0)){ -S=p*q/4; -r2=m.sq(r); -r3=r*r2; -disc=S*(S+2*r3); -u=r; -if(disc>=0){ -T3=S+r3; -T3+=T3<0?-Math.sqrt(disc):Math.sqrt(disc); -T=m.cbrt(T3); -u+=T+(T!==0?r2/T:0); -}else{ -ang=Math.atan2(Math.sqrt(-disc),-(S+r3)); -u+=2*r*Math.cos(ang/3); -} -v=Math.sqrt(m.sq(u)+q); -uv=u<0?q/(v-u):u+v; -w=(uv-q)/(2*v); -k=uv/(Math.sqrt(uv+m.sq(w))+w); -}else{ -k=0; -} -return k; -}; -A1m1f_coeff=[ -+1,4,64,0,256 -]; -g.A1m1f=function(eps){ -var p=Math.floor(nA1_/2), -t=m.polyval(p,A1m1f_coeff,0,m.sq(eps))/A1m1f_coeff[p+1]; -return(t+eps)/(1-eps); -}; -C1f_coeff=[ --1,6,-16,32, --9,64,-128,2048, -+9,-16,768, -+3,-5,512, --7,1280, --7,2048 -]; -g.C1f=function(eps,c){ -var eps2=m.sq(eps), -d=eps, -o=0, -l,p; -for(l=1;l<=g.nC1_;++l){ -p=Math.floor((g.nC1_-l)/2); -c[l]=d*m.polyval(p,C1f_coeff,o,eps2)/C1f_coeff[o+p+1]; -o+=p+2; -d*=eps; -} -}; -C1pf_coeff=[ -+205,-432,768,1536, -+4005,-4736,3840,12288, --225,116,384, --7173,2695,7680, -+3467,7680, -+38081,61440 -]; -g.C1pf=function(eps,c){ -var eps2=m.sq(eps), -d=eps, -o=0, -l,p; -for(l=1;l<=g.nC1p_;++l){ -p=Math.floor((g.nC1p_-l)/2); -c[l]=d*m.polyval(p,C1pf_coeff,o,eps2)/C1pf_coeff[o+p+1]; -o+=p+2; -d*=eps; -} -}; -A2m1f_coeff=[ --11,-28,-192,0,256 -]; -g.A2m1f=function(eps){ -var p=Math.floor(nA2_/2), -t=m.polyval(p,A2m1f_coeff,0,m.sq(eps))/A2m1f_coeff[p+1]; -return(t-eps)/(1+eps); -}; -C2f_coeff=[ -+1,2,16,32, -+35,64,384,2048, -+15,80,768, -+7,35,512, -+63,1280, -+77,2048 -]; -g.C2f=function(eps,c){ -var eps2=m.sq(eps), -d=eps, -o=0, -l,p; -for(l=1;l<=g.nC2_;++l){ -p=Math.floor((g.nC2_-l)/2); -c[l]=d*m.polyval(p,C2f_coeff,o,eps2)/C2f_coeff[o+p+1]; -o+=p+2; -d*=eps; -} -}; -g.Geodesic=function(a,f){ -this.a=a; -this.f=f; -this._f1=1-this.f; -this._e2=this.f*(2-this.f); -this._ep2=this._e2/m.sq(this._f1); -this._n=this.f/(2-this.f); -this._b=this.a*this._f1; -this._c2=(m.sq(this.a)+m.sq(this._b)* -(this._e2===0?1: -(this._e2>0?m.atanh(Math.sqrt(this._e2)): -Math.atan(Math.sqrt(-this._e2)))/ -Math.sqrt(Math.abs(this._e2))))/2; -this._etol2=0.1*tol2_/ -Math.sqrt(Math.max(0.001,Math.abs(this.f))* -Math.min(1.0,1-this.f/2)/2); -if(!(isFinite(this.a)&&this.a>0)) -throw new Error("Equatorial radius is not positive"); -if(!(isFinite(this._b)&&this._b>0)) -throw new Error("Polar semi-axis is not positive"); -this._A3x=new Array(nA3x_); -this._C3x=new Array(nC3x_); -this._C4x=new Array(nC4x_); -this.A3coeff(); -this.C3coeff(); -this.C4coeff(); -}; -A3_coeff=[ --3,128, --2,-3,64, --1,-3,-1,16, -+3,-1,-2,8, -+1,-1,2, -+1,1 -]; -g.Geodesic.prototype.A3coeff=function(){ -var o=0,k=0, -j,p; -for(j=nA3_-1;j>=0;--j){ -p=Math.min(nA3_-j-1,j); -this._A3x[k++]=m.polyval(p,A3_coeff,o,this._n)/ -A3_coeff[o+p+1]; -o+=p+2; -} -}; -C3_coeff=[ -+3,128, -+2,5,128, --1,3,3,64, --1,0,1,8, --1,1,4, -+5,256, -+1,3,128, --3,-2,3,64, -+1,-3,2,32, -+7,512, --10,9,384, -+5,-9,5,192, -+7,512, --14,7,512, -+21,2560 -]; -g.Geodesic.prototype.C3coeff=function(){ -var o=0,k=0, -l,j,p; -for(l=1;l=l;--j){ -p=Math.min(g.nC3_-j-1,j); -this._C3x[k++]=m.polyval(p,C3_coeff,o,this._n)/ -C3_coeff[o+p+1]; -o+=p+2; -} -} -}; -C4_coeff=[ -+97,15015, -+1088,156,45045, --224,-4784,1573,45045, --10656,14144,-4576,-858,45045, -+64,624,-4576,6864,-3003,15015, -+100,208,572,3432,-12012,30030,45045, -+1,9009, --2944,468,135135, -+5792,1040,-1287,135135, -+5952,-11648,9152,-2574,135135, --64,-624,4576,-6864,3003,135135, -+8,10725, -+1856,-936,225225, --8448,4992,-1144,225225, --1440,4160,-4576,1716,225225, --136,63063, -+1024,-208,105105, -+3584,-3328,1144,315315, --128,135135, --2560,832,405405, -+128,99099 -]; -g.Geodesic.prototype.C4coeff=function(){ -var o=0,k=0, -l,j,p; -for(l=0;l=l;--j){ -p=g.nC4_-j-1; -this._C4x[k++]=m.polyval(p,C4_coeff,o,this._n)/ -C4_coeff[o+p+1]; -o+=p+2; -} -} -}; -g.Geodesic.prototype.A3f=function(eps){ -return m.polyval(nA3x_-1,this._A3x,0,eps); -}; -g.Geodesic.prototype.C3f=function(eps,c){ -var mult=1, -o=0, -l,p; -for(l=1;l=0&&sbet12<0.5&&cbet2*lam12<0.5; -if(shortline){ -sbetm2=m.sq(sbet1+sbet2); -sbetm2/=sbetm2+m.sq(cbet1+cbet2); -vals.dnm=Math.sqrt(1+this._ep2*sbetm2); -omg12=lam12/(this._f1*vals.dnm); -somg12=Math.sin(omg12);comg12=Math.cos(omg12); -}else{ -somg12=slam12;comg12=clam12; -} -vals.salp1=cbet2*somg12; -vals.calp1=comg12>=0? -sbet12+cbet2*sbet1*m.sq(somg12)/(1+comg12): -sbet12a-cbet2*sbet1*m.sq(somg12)/(1-comg12); -ssig12=m.hypot(vals.salp1,vals.calp1); -csig12=sbet1*sbet2+cbet1*cbet2*comg12; -if(shortline&&ssig12=0?m.sq(somg12)/(1+comg12):1-comg12); -t=m.hypot(vals.salp2,vals.calp2);vals.salp2/=t;vals.calp2/=t; -vals.sig12=Math.atan2(ssig12,csig12); -}else if(Math.abs(this._n)>0.1|| -csig12>=0|| -ssig12>=6*Math.abs(this._n)*Math.PI*m.sq(cbet1)){ -}else{ -lam12x=Math.atan2(-slam12,-clam12); -if(this.f>=0){ -k2=m.sq(sbet1)*this._ep2; -eps=k2/(2*(1+Math.sqrt(1+k2))+k2); -lamscale=this.f*cbet1*this.A3f(eps)*Math.PI; -betscale=lamscale*cbet1; -x=lam12x/lamscale; -y=sbet12a/betscale; -}else{ -cbet12a=cbet2*cbet1-sbet2*sbet1; -bet12a=Math.atan2(sbet12a,cbet12a); -nvals=this.Lengths(this._n,Math.PI+bet12a, -sbet1,-cbet1,dn1,sbet2,cbet2,dn2, -cbet1,cbet2,g.REDUCEDLENGTH,C1a,C2a); -m12b=nvals.m12b;m0=nvals.m0; -x=-1+m12b/(cbet1*cbet2*m0*Math.PI); -betscale=x<-0.01?sbet12a/x: --this.f*m.sq(cbet1)*Math.PI; -lamscale=betscale/cbet1; -y=lam12/lamscale; -} -if(y>-tol1_&&x>-1-xthresh_){ -if(this.f>=0){ -vals.salp1=Math.min(1,-x); -vals.calp1=-Math.sqrt(1-m.sq(vals.salp1)); -}else{ -vals.calp1=Math.max(x>-tol1_?0:-1,x); -vals.salp1=Math.sqrt(1-m.sq(vals.calp1)); -} -}else{ -k=astroid(x,y); -omg12a=lamscale*(this.f>=0?-x*k/(1+k):-y*(1+k)/k); -somg12=Math.sin(omg12a);comg12=-Math.cos(omg12a); -vals.salp1=cbet2*somg12; -vals.calp1=sbet12a- -cbet2*sbet1*m.sq(somg12)/(1-comg12); -} -} -if(!(vals.salp1<=0.0)){ -t=m.hypot(vals.salp1,vals.calp1);vals.salp1/=t;vals.calp1/=t; -}else{ -vals.salp1=1;vals.calp1=0; -} -return vals; -}; -g.Geodesic.prototype.Lambda12=function(sbet1,cbet1,dn1, -sbet2,cbet2,dn2, -salp1,calp1,slam120,clam120, -diffp,C1a,C2a,C3a){ -var vals={}, -t,salp0,calp0, -somg1,comg1,somg2,comg2,somg12,comg12,B312,eta,k2,nvals; -if(sbet1===0&&calp1===0) -calp1=-g.tiny_; -salp0=salp1*cbet1; -calp0=m.hypot(calp1,salp1*sbet1); -vals.ssig1=sbet1;somg1=salp0*sbet1; -vals.csig1=comg1=calp1*cbet1; -t=m.hypot(vals.ssig1,vals.csig1);vals.ssig1/=t;vals.csig1/=t; -vals.salp2=cbet2!==cbet1?salp0/cbet2:salp1; -vals.calp2=cbet2!==cbet1||Math.abs(sbet2)!==-sbet1? -Math.sqrt(m.sq(calp1*cbet1)+(cbet1<-sbet1? -(cbet2-cbet1)*(cbet1+cbet2): -(sbet1-sbet2)*(sbet1+sbet2)))/ -cbet2:Math.abs(calp1); -vals.ssig2=sbet2;somg2=salp0*sbet2; -vals.csig2=comg2=vals.calp2*cbet2; -t=m.hypot(vals.ssig2,vals.csig2);vals.ssig2/=t;vals.csig2/=t; -vals.sig12=Math.atan2(Math.max(0,vals.csig1*vals.ssig2- -vals.ssig1*vals.csig2), -vals.csig1*vals.csig2+ -vals.ssig1*vals.ssig2); -somg12=Math.max(0,comg1*somg2-somg1*comg2); -comg12=comg1*comg2+somg1*somg2; -eta=Math.atan2(somg12*clam120-comg12*slam120, -comg12*clam120+somg12*slam120); -k2=m.sq(calp0)*this._ep2; -vals.eps=k2/(2*(1+Math.sqrt(1+k2))+k2); -this.C3f(vals.eps,C3a); -B312=(g.SinCosSeries(true,vals.ssig2,vals.csig2,C3a)- -g.SinCosSeries(true,vals.ssig1,vals.csig1,C3a)); -vals.domg12=-this.f*this.A3f(vals.eps)*salp0*(vals.sig12+B312); -vals.lam12=eta+vals.domg12; -if(diffp){ -if(vals.calp2===0) -vals.dlam12=-2*this._f1*dn1/sbet1; -else{ -nvals=this.Lengths(vals.eps,vals.sig12, -vals.ssig1,vals.csig1,dn1, -vals.ssig2,vals.csig2,dn2, -cbet1,cbet2,g.REDUCEDLENGTH,C1a,C2a); -vals.dlam12=nvals.m12b; -vals.dlam12*=this._f1/(vals.calp2*cbet2); -} -} -return vals; -}; -g.Geodesic.prototype.Inverse=function(lat1,lon1,lat2,lon2,outmask){ -var r,vals; -if(!outmask)outmask=g.STANDARD; -if(outmask===g.LONG_UNROLL)outmask|=g.STANDARD; -outmask&=g.OUT_MASK; -r=this.InverseInt(lat1,lon1,lat2,lon2,outmask); -vals=r.vals; -if(outmask&g.AZIMUTH){ -vals.azi1=m.atan2d(r.salp1,r.calp1); -vals.azi2=m.atan2d(r.salp2,r.calp2); -} -return vals; -}; -g.Geodesic.prototype.InverseInt=function(lat1,lon1,lat2,lon2,outmask){ -var vals={}, -lon12,lon12s,lonsign,t,swapp,latsign, -sbet1,cbet1,sbet2,cbet2,s12x,m12x, -dn1,dn2,lam12,slam12,clam12, -sig12,calp1,salp1,calp2,salp2,C1a,C2a,C3a,meridian,nvals, -ssig1,csig1,ssig2,csig2,eps,omg12,dnm, -numit,salp1a,calp1a,salp1b,calp1b, -tripn,tripb,v,dv,dalp1,sdalp1,cdalp1,nsalp1, -lengthmask,salp0,calp0,alp12,k2,A4,C4a,B41,B42, -somg12,comg12,domg12,dbet1,dbet2,salp12,calp12,sdomg12,cdomg12; -vals.lat1=lat1=m.LatFix(lat1);vals.lat2=lat2=m.LatFix(lat2); -lat1=m.AngRound(lat1); -lat2=m.AngRound(lat2); -lon12=m.AngDiff(lon1,lon2);lon12s=lon12.t;lon12=lon12.s; -if(outmask&g.LONG_UNROLL){ -vals.lon1=lon1;vals.lon2=(lon1+lon12)+lon12s; -}else{ -vals.lon1=m.AngNormalize(lon1);vals.lon2=m.AngNormalize(lon2); -} -lonsign=lon12>=0?1:-1; -lon12=lonsign*m.AngRound(lon12); -lon12s=m.AngRound((180-lon12)-lonsign*lon12s); -lam12=lon12*m.degree; -t=m.sincosd(lon12>90?lon12s:lon12); -slam12=t.s;clam12=(lon12>90?-1:1)*t.c; -swapp=Math.abs(lat1)=0){ -if(sig12<3*g.tiny_) -sig12=m12x=s12x=0; -m12x*=this._b; -s12x*=this._b; -vals.a12=sig12/m.degree; -}else -meridian=false; -} -somg12=2; -if(!meridian&& -sbet1===0&& -(this.f<=0||lon12s>=this.f*180)){ -calp1=calp2=0;salp1=salp2=1; -s12x=this.a*lam12; -sig12=omg12=lam12/this._f1; -m12x=this._b*Math.sin(sig12); -if(outmask&g.GEODESICSCALE) -vals.M12=vals.M21=Math.cos(sig12); -vals.a12=lon12/this._f1; -}else if(!meridian){ -nvals=this.InverseStart(sbet1,cbet1,dn1,sbet2,cbet2,dn2, -lam12,slam12,clam12,C1a,C2a); -sig12=nvals.sig12; -salp1=nvals.salp1; -calp1=nvals.calp1; -if(sig12>=0){ -salp2=nvals.salp2; -calp2=nvals.calp2; -dnm=nvals.dnm; -s12x=sig12*this._b*dnm; -m12x=m.sq(dnm)*this._b*Math.sin(sig12/dnm); -if(outmask&g.GEODESICSCALE) -vals.M12=vals.M21=Math.cos(sig12/dnm); -vals.a12=sig12/m.degree; -omg12=lam12/(this._f1*dnm); -}else{ -numit=0; -salp1a=g.tiny_;calp1a=1;salp1b=g.tiny_;calp1b=-1; -for(tripn=false,tripb=false;numit=(tripn?8:1)*tol0_)) -break; -if(v>0&&(numitcalp1b/salp1b)){ -salp1b=salp1;calp1b=calp1; -}else if(v<0&& -(numit0){ -dalp1=-v/dv; -sdalp1=Math.sin(dalp1);cdalp1=Math.cos(dalp1); -nsalp1=salp1*cdalp1+calp1*sdalp1; -if(nsalp1>0&&Math.abs(dalp1)1){ -somg12=Math.sin(omg12);comg12=Math.cos(omg12); -} -if(!meridian&& -comg12>-0.7071&& -sbet2-sbet1<1.75){ -domg12=1+comg12;dbet1=1+cbet1;dbet2=1+cbet2; -alp12=2*Math.atan2(somg12*(sbet1*dbet2+sbet2*dbet1), -domg12*(sbet1*sbet2+dbet1*dbet2)); -}else{ -salp12=salp2*calp1-calp2*salp1; -calp12=calp2*calp1+salp2*salp1; -if(salp12===0&&calp12<0){ -salp12=g.tiny_*calp1; -calp12=-1; -} -alp12=Math.atan2(salp12,calp12); -} -vals.S12+=this._c2*alp12; -vals.S12*=swapp*lonsign*latsign; -vals.S12+=0; -} -if(swapp<0){ -t=salp1; -salp1=salp2; -salp2=t; -t=calp1; -calp1=calp2; -calp2=t; -if(outmask&g.GEODESICSCALE){ -t=vals.M12; -vals.M12=vals.M21; -vals.M21=t; -} -} -salp1*=swapp*lonsign;calp1*=swapp*latsign; -salp2*=swapp*lonsign;calp2*=swapp*latsign; -return{vals:vals, -salp1:salp1,calp1:calp1, -salp2:salp2,calp2:calp2}; -}; -g.Geodesic.prototype.GenDirect=function(lat1,lon1,azi1, -arcmode,s12_a12,outmask){ -var line; -if(!outmask)outmask=g.STANDARD; -else if(outmask===g.LONG_UNROLL)outmask|=g.STANDARD; -if(!arcmode)outmask|=g.DISTANCE_IN; -line=new l.GeodesicLine(this,lat1,lon1,azi1,outmask); -return line.GenPosition(arcmode,s12_a12,outmask); -}; -g.Geodesic.prototype.Direct=function(lat1,lon1,azi1,s12,outmask){ -return this.GenDirect(lat1,lon1,azi1,false,s12,outmask); -}; -g.Geodesic.prototype.ArcDirect=function(lat1,lon1,azi1,a12,outmask){ -return this.GenDirect(lat1,lon1,azi1,true,a12,outmask); -}; -g.Geodesic.prototype.Line=function(lat1,lon1,azi1,caps){ -return new l.GeodesicLine(this,lat1,lon1,azi1,caps); -}; -g.Geodesic.prototype.DirectLine=function(lat1,lon1,azi1,s12,caps){ -return this.GenDirectLine(lat1,lon1,azi1,false,s12,caps); -}; -g.Geodesic.prototype.ArcDirectLine=function(lat1,lon1,azi1,a12,caps){ -return this.GenDirectLine(lat1,lon1,azi1,true,a12,caps); -}; -g.Geodesic.prototype.GenDirectLine=function(lat1,lon1,azi1, -arcmode,s12_a12,caps){ -var t; -if(!caps)caps=g.STANDARD|g.DISTANCE_IN; -if(!arcmode)caps|=g.DISTANCE_IN; -t=new l.GeodesicLine(this,lat1,lon1,azi1,caps); -t.GenSetDistance(arcmode,s12_a12); -return t; -}; -g.Geodesic.prototype.InverseLine=function(lat1,lon1,lat2,lon2,caps){ -var r,t,azi1; -if(!caps)caps=g.STANDARD|g.DISTANCE_IN; -r=this.InverseInt(lat1,lon1,lat2,lon2,g.ARC); -azi1=m.atan2d(r.salp1,r.calp1); -if(caps&(g.OUT_MASK&g.DISTANCE_IN))caps|=g.DISTANCE; -t=new l.GeodesicLine(this,lat1,lon1,azi1,caps,r.salp1,r.calp1); -t.SetArc(r.vals.a12); -return t; -}; -g.Geodesic.prototype.Polygon=function(polyline){ -return new p.PolygonArea(this,polyline); -}; -g.WGS84=new g.Geodesic(c.WGS84.a,c.WGS84.f); -})(GeographicLib.Geodesic,GeographicLib.GeodesicLine, -GeographicLib.PolygonArea,GeographicLib.Math,GeographicLib.Constants); -// GeodesicLine.js -(function( -g, -l,m){ -l.GeodesicLine=function(geod,lat1,lon1,azi1,caps,salp1,calp1){ -var t,cbet1,sbet1,eps,s,c; -if(!caps)caps=g.STANDARD|g.DISTANCE_IN; -this.a=geod.a; -this.f=geod.f; -this._b=geod._b; -this._c2=geod._c2; -this._f1=geod._f1; -this.caps=caps|g.LATITUDE|g.AZIMUTH|g.LONG_UNROLL; -this.lat1=m.LatFix(lat1); -this.lon1=lon1; -if(typeof salp1==='undefined'||typeof calp1==='undefined'){ -this.azi1=m.AngNormalize(azi1); -t=m.sincosd(m.AngRound(this.azi1));this.salp1=t.s;this.calp1=t.c; -}else{ -this.azi1=azi1;this.salp1=salp1;this.calp1=calp1; -} -t=m.sincosd(m.AngRound(this.lat1));sbet1=this._f1*t.s;cbet1=t.c; -t=m.hypot(sbet1,cbet1);sbet1/=t;cbet1/=t; -cbet1=Math.max(g.tiny_,cbet1); -this._dn1=Math.sqrt(1+geod._ep2*m.sq(sbet1)); -this._salp0=this.salp1*cbet1; -this._calp0=m.hypot(this.calp1,this.salp1*sbet1); -this._ssig1=sbet1;this._somg1=this._salp0*sbet1; -this._csig1=this._comg1= -sbet1!==0||this.calp1!==0?cbet1*this.calp1:1; -t=m.hypot(this._ssig1,this._csig1); -this._ssig1/=t;this._csig1/=t; -this._k2=m.sq(this._calp0)*geod._ep2; -eps=this._k2/(2*(1+Math.sqrt(1+this._k2))+this._k2); -if(this.caps&g.CAP_C1){ -this._A1m1=g.A1m1f(eps); -this._C1a=new Array(g.nC1_+1); -g.C1f(eps,this._C1a); -this._B11=g.SinCosSeries(true,this._ssig1,this._csig1,this._C1a); -s=Math.sin(this._B11);c=Math.cos(this._B11); -this._stau1=this._ssig1*c+this._csig1*s; -this._ctau1=this._csig1*c-this._ssig1*s; -} -if(this.caps&g.CAP_C1p){ -this._C1pa=new Array(g.nC1p_+1); -g.C1pf(eps,this._C1pa); -} -if(this.caps&g.CAP_C2){ -this._A2m1=g.A2m1f(eps); -this._C2a=new Array(g.nC2_+1); -g.C2f(eps,this._C2a); -this._B21=g.SinCosSeries(true,this._ssig1,this._csig1,this._C2a); -} -if(this.caps&g.CAP_C3){ -this._C3a=new Array(g.nC3_); -geod.C3f(eps,this._C3a); -this._A3c=-this.f*this._salp0*geod.A3f(eps); -this._B31=g.SinCosSeries(true,this._ssig1,this._csig1,this._C3a); -} -if(this.caps&g.CAP_C4){ -this._C4a=new Array(g.nC4_); -geod.C4f(eps,this._C4a); -this._A4=m.sq(this.a)*this._calp0*this._salp0*geod._e2; -this._B41=g.SinCosSeries(false,this._ssig1,this._csig1,this._C4a); -} -this.a13=this.s13=Number.NaN; -}; -l.GeodesicLine.prototype.GenPosition=function(arcmode,s12_a12, -outmask){ -var vals={}, -sig12,ssig12,csig12,B12,AB1,ssig2,csig2,tau12,s,c,serr, -omg12,lam12,lon12,E,sbet2,cbet2,somg2,comg2,salp2,calp2,dn2, -B22,AB2,J12,t,B42,salp12,calp12; -if(!outmask)outmask=g.STANDARD; -else if(outmask===g.LONG_UNROLL)outmask|=g.STANDARD; -outmask&=this.caps&g.OUT_MASK; -vals.lat1=this.lat1;vals.azi1=this.azi1; -vals.lon1=outmask&g.LONG_UNROLL? -this.lon1:m.AngNormalize(this.lon1); -if(arcmode) -vals.a12=s12_a12; -else -vals.s12=s12_a12; -if(!(arcmode||(this.caps&g.DISTANCE_IN&g.OUT_MASK))){ -vals.a12=Number.NaN; -return vals; -} -B12=0;AB1=0; -if(arcmode){ -sig12=s12_a12*m.degree; -t=m.sincosd(s12_a12);ssig12=t.s;csig12=t.c; -}else{ -tau12=s12_a12/(this._b*(1+this._A1m1)); -s=Math.sin(tau12); -c=Math.cos(tau12); -B12=-g.SinCosSeries(true, -this._stau1*c+this._ctau1*s, -this._ctau1*c-this._stau1*s, -this._C1pa); -sig12=tau12-(B12-this._B11); -ssig12=Math.sin(sig12);csig12=Math.cos(sig12); -if(Math.abs(this.f)>0.01){ -ssig2=this._ssig1*csig12+this._csig1*ssig12; -csig2=this._csig1*csig12-this._ssig1*ssig12; -B12=g.SinCosSeries(true,ssig2,csig2,this._C1a); -serr=(1+this._A1m1)*(sig12+(B12-this._B11))- -s12_a12/this._b; -sig12=sig12-serr/Math.sqrt(1+this._k2*m.sq(ssig2)); -ssig12=Math.sin(sig12);csig12=Math.cos(sig12); -} -} -ssig2=this._ssig1*csig12+this._csig1*ssig12; -csig2=this._csig1*csig12-this._ssig1*ssig12; -dn2=Math.sqrt(1+this._k2*m.sq(ssig2)); -if(outmask&(g.DISTANCE|g.REDUCEDLENGTH|g.GEODESICSCALE)){ -if(arcmode||Math.abs(this.f)>0.01) -B12=g.SinCosSeries(true,ssig2,csig2,this._C1a); -AB1=(1+this._A1m1)*(B12-this._B11); -} -sbet2=this._calp0*ssig2; -cbet2=m.hypot(this._salp0,this._calp0*csig2); -if(cbet2===0) -cbet2=csig2=g.tiny_; -salp2=this._salp0;calp2=this._calp0*csig2; -if(arcmode&&(outmask&g.DISTANCE)) -vals.s12=this._b*((1+this._A1m1)*sig12+AB1); -if(outmask&g.LONGITUDE){ -somg2=this._salp0*ssig2;comg2=csig2; -E=m.copysign(1,this._salp0); -omg12=outmask&g.LONG_UNROLL? -E*(sig12- -(Math.atan2(ssig2,csig2)- -Math.atan2(this._ssig1,this._csig1))+ -(Math.atan2(E*somg2,comg2)- -Math.atan2(E*this._somg1,this._comg1))): -Math.atan2(somg2*this._comg1-comg2*this._somg1, -comg2*this._comg1+somg2*this._somg1); -lam12=omg12+this._A3c* -(sig12+(g.SinCosSeries(true,ssig2,csig2,this._C3a)- -this._B31)); -lon12=lam12/m.degree; -vals.lon2=outmask&g.LONG_UNROLL?this.lon1+lon12: -m.AngNormalize(m.AngNormalize(this.lon1)+m.AngNormalize(lon12)); -} -if(outmask&g.LATITUDE) -vals.lat2=m.atan2d(sbet2,this._f1*cbet2); -if(outmask&g.AZIMUTH) -vals.azi2=m.atan2d(salp2,calp2); -if(outmask&(g.REDUCEDLENGTH|g.GEODESICSCALE)){ -B22=g.SinCosSeries(true,ssig2,csig2,this._C2a); -AB2=(1+this._A2m1)*(B22-this._B21); -J12=(this._A1m1-this._A2m1)*sig12+(AB1-AB2); -if(outmask&g.REDUCEDLENGTH) -vals.m12=this._b*((dn2*(this._csig1*ssig2)- -this._dn1*(this._ssig1*csig2))- -this._csig1*csig2*J12); -if(outmask&g.GEODESICSCALE){ -t=this._k2*(ssig2-this._ssig1)*(ssig2+this._ssig1)/ -(this._dn1+dn2); -vals.M12=csig12+ -(t*ssig2-csig2*J12)*this._ssig1/this._dn1; -vals.M21=csig12- -(t*this._ssig1-this._csig1*J12)*ssig2/dn2; -} -} -if(outmask&g.AREA){ -B42=g.SinCosSeries(false,ssig2,csig2,this._C4a); -if(this._calp0===0||this._salp0===0){ -salp12=salp2*this.calp1-calp2*this.salp1; -calp12=calp2*this.calp1+salp2*this.salp1; -}else{ -salp12=this._calp0*this._salp0* -(csig12<=0?this._csig1*(1-csig12)+ssig12*this._ssig1: -ssig12*(this._csig1*ssig12/(1+csig12)+this._ssig1)); -calp12=m.sq(this._salp0)+m.sq(this._calp0)*this._csig1*csig2; -} -vals.S12=this._c2*Math.atan2(salp12,calp12)+ -this._A4*(B42-this._B41); -} -if(!arcmode) -vals.a12=sig12/m.degree; -return vals; -}; -l.GeodesicLine.prototype.Position=function(s12,outmask){ -return this.GenPosition(false,s12,outmask); -}; -l.GeodesicLine.prototype.ArcPosition=function(a12,outmask){ -return this.GenPosition(true,a12,outmask); -}; -l.GeodesicLine.prototype.GenSetDistance=function(arcmode,s13_a13){ -if(arcmode) -this.SetArc(s13_a13); -else -this.SetDistance(s13_a13); -}; -l.GeodesicLine.prototype.SetDistance=function(s13){ -var r; -this.s13=s13; -r=this.GenPosition(false,this.s13,g.ARC); -this.a13=0+r.a12; -}; -l.GeodesicLine.prototype.SetArc=function(a13){ -var r; -this.a13=a13; -r=this.GenPosition(true,this.a13,g.DISTANCE); -this.s13=0+r.s12; -}; -})(GeographicLib.Geodesic,GeographicLib.GeodesicLine,GeographicLib.Math); -// PolygonArea.js -(function( -p,g,m,a){ -var transit,transitdirect,AreaReduceA,AreaReduceB; -transit=function(lon1,lon2){ -var lon12,cross; -lon1=m.AngNormalize(lon1); -lon2=m.AngNormalize(lon2); -lon12=m.AngDiff(lon1,lon2).s; -cross=lon1<=0&&lon2>0&&lon12>0?1: -(lon2<=0&&lon1>0&&lon12<0?-1:0); -return cross; -}; -transitdirect=function(lon1,lon2){ -lon1=lon1%720.0;lon2=lon2%720.0; -return(((lon2<=0&&lon2>-360)||lon2>360?1:0)- -((lon1<=0&&lon1>-360)||lon1>360?1:0)); -}; -AreaReduceA=function(area,area0,crossings,reverse,sign){ -area.Remainder(area0); -if(crossings&1) -area.Add((area.Sum()<0?1:-1)*area0/2); -if(!reverse) -area.Negate(); -if(sign){ -if(area.Sum()>area0/2) -area.Add(-area0); -else if(area.Sum()<=-area0/2) -area.Add(+area0); -}else{ -if(area.Sum()>=area0) -area.Add(-area0); -else if(area.Sum()<0) -area.Add(+area0); -} -return 0+area.Sum(); -}; -AreaReduceB=function(area,area0,crossings,reverse,sign){ -area=m.remainder(area,area0); -if(crossings&1) -area+=(area<0?1:-1)*area0/2; -if(!reverse) -area*=-1; -if(sign){ -if(area>area0/2) -area-=area0; -else if(area<=-area0/2) -area+=area0; -}else{ -if(area>=area0) -area-=area0; -else if(area<0) -area+=area0; -} -return 0+area; -}; -p.PolygonArea=function(geod,polyline){ -this._geod=geod; -this.a=this._geod.a; -this.f=this._geod.f; -this._area0=4*Math.PI*geod._c2; -this.polyline=!polyline?false:polyline; -this._mask=g.LATITUDE|g.LONGITUDE|g.DISTANCE| -(this.polyline?g.NONE:g.AREA|g.LONG_UNROLL); -if(!this.polyline) -this._areasum=new a.Accumulator(0); -this._perimetersum=new a.Accumulator(0); -this.Clear(); -}; -p.PolygonArea.prototype.Clear=function(){ -this.num=0; -this._crossings=0; -if(!this.polyline) -this._areasum.Set(0); -this._perimetersum.Set(0); -this._lat0=this._lon0=this.lat=this.lon=Number.NaN; -}; -p.PolygonArea.prototype.AddPoint=function(lat,lon){ -var t; -if(this.num===0){ -this._lat0=this.lat=lat; -this._lon0=this.lon=lon; -}else{ -t=this._geod.Inverse(this.lat,this.lon,lat,lon,this._mask); -this._perimetersum.Add(t.s12); -if(!this.polyline){ -this._areasum.Add(t.S12); -this._crossings+=transit(this.lon,lon); -} -this.lat=lat; -this.lon=lon; -} -++this.num; -}; -p.PolygonArea.prototype.AddEdge=function(azi,s){ -var t; -if(this.num){ -t=this._geod.Direct(this.lat,this.lon,azi,s,this._mask); -this._perimetersum.Add(s); -if(!this.polyline){ -this._areasum.Add(t.S12); -this._crossings+=transitdirect(this.lon,t.lon2); -} -this.lat=t.lat2; -this.lon=t.lon2; -} -++this.num; -}; -p.PolygonArea.prototype.Compute=function(reverse,sign){ -var vals={number:this.num},t,tempsum; -if(this.num<2){ -vals.perimeter=0; -if(!this.polyline) -vals.area=0; -return vals; -} -if(this.polyline){ -vals.perimeter=this._perimetersum.Sum(); -return vals; -} -t=this._geod.Inverse(this.lat,this.lon,this._lat0,this._lon0, -this._mask); -vals.perimeter=this._perimetersum.Sum(t.s12); -tempsum=new a.Accumulator(this._areasum); -tempsum.Add(t.S12); -vals.area=AreaReduceA(tempsum,this._area0, -this._crossings+transit(this.lon,this._lon0), -reverse,sign); -return vals; -}; -p.PolygonArea.prototype.TestPoint=function(lat,lon,reverse,sign){ -var vals={number:this.num+1},t,tempsum,crossings,i; -if(this.num===0){ -vals.perimeter=0; -if(!this.polyline) -vals.area=0; -return vals; -} -vals.perimeter=this._perimetersum.Sum(); -tempsum=this.polyline?0:this._areasum.Sum(); -crossings=this._crossings; -for(i=0;i<(this.polyline?1:2);++i){ -t=this._geod.Inverse( -i===0?this.lat:lat,i===0?this.lon:lon, -i!==0?this._lat0:lat,i!==0?this._lon0:lon, -this._mask); -vals.perimeter+=t.s12; -if(!this.polyline){ -tempsum+=t.S12; -crossings+=transit(i===0?this.lon:lon, -i!==0?this._lon0:lon); -} -} -if(this.polyline) -return vals; -vals.area=AreaReduceB(tempsum,this._area0,crossings,reverse,sign); -return vals; -}; -p.PolygonArea.prototype.TestEdge=function(azi,s,reverse,sign){ -var vals={number:this.num?this.num+1:0},t,tempsum,crossings; -if(this.num===0) -return vals; -vals.perimeter=this._perimetersum.Sum()+s; -if(this.polyline) -return vals; -tempsum=this._areasum.Sum(); -crossings=this._crossings; -t=this._geod.Direct(this.lat,this.lon,azi,s,this._mask); -tempsum+=t.S12; -crossings+=transitdirect(this.lon,t.lon2); -crossings+=transit(t.lon2,this._lon0); -t=this._geod.Inverse(t.lat2,t.lon2,this._lat0,this._lon0,this._mask); -vals.perimeter+=t.s12; -tempsum+=t.S12; -vals.area=AreaReduceB(tempsum,this._area0,crossings,reverse,sign); -return vals; -}; -})(GeographicLib.PolygonArea,GeographicLib.Geodesic, -GeographicLib.Math,GeographicLib.Accumulator); -// DMS.js -GeographicLib.DMS={}; -(function( -d){ -var lookup,zerofill,internalDecode,numMatch, -hemispheres_="SNWE", -signs_="-+", -digits_="0123456789", -dmsindicators_="D'\":", -dmsindicatorsu_="\u00b0'\"", -components_=["degrees","minutes","seconds"]; -lookup=function(s,c){ -return s.indexOf(c.toUpperCase()); -}; -zerofill=function(s,n){ -return String("0000").substr(0,Math.max(0,Math.min(4,n-s.length)))+ -s; -}; -d.NONE=0; -d.LATITUDE=1; -d.LONGITUDE=2; -d.AZIMUTH=3; -d.DEGREE=0; -d.MINUTE=1; -d.SECOND=2; -d.Decode=function(dms){ -var dmsa=dms,end, -v=0,i=0,mi,pi,vals, -ind1=d.NONE,ind2,p,pa,pb; -dmsa=dmsa -.replace(/\u2212/g,'-') -.replace(/\u00b0/g,'d') -.replace(/\u00ba/g,'d') -.replace(/\u2070/g,'d') -.replace(/\u02da/g,'d') -.replace(/\u2032/g,'\'') -.replace(/\u00b4/g,'\'') -.replace(/\u2019/g,'\'') -.replace(/\u2033/g,'"') -.replace(/\u201d/g,'"') -.replace(/\u00a0/g,'') -.replace(/\u202f/g,'') -.replace(/\u2007/g,'') -.replace(/''/g,'"') -.trim(); -end=dmsa.length; -for(p=0;p=0) -++pa; -if(i>0||(pa=0)) -++pa; -mi=dmsa.substr(pa,end-pa).indexOf('-'); -pi=dmsa.substr(pa,end-pa).indexOf('+'); -if(mi<0)mi=end;else mi+=pa; -if(pi<0)pi=end;else pi+=pa; -pb=Math.min(mi,pi); -vals=internalDecode(dmsa.substr(p,pb-p)); -v+=vals.val;ind2=vals.ind; -if(ind1===d.NONE) -ind1=ind2; -else if(!(ind2===d.NONE||ind1===ind2)) -throw new Error("Incompatible hemisphere specifies in "+ -dmsa.substr(0,pb)); -} -if(i===0) -throw new Error("Empty or incomplete DMS string "+dmsa); -return{val:v,ind:ind1}; -}; -internalDecode=function(dmsa){ -var vals={},errormsg="", -sign,beg,end,ind1,k, -ipieces,fpieces,npiece, -icurrent,fcurrent,ncurrent,p, -pointseen, -digcount,intcount, -x; -do{ -sign=1; -beg=0;end=dmsa.length; -ind1=d.NONE; -k=-1; -if(end>beg&&(k=lookup(hemispheres_,dmsa.charAt(beg)))>=0){ -ind1=(k&2)?d.LONGITUDE:d.LATITUDE; -sign=(k&1)?1:-1; -++beg; -} -if(end>beg&& -(k=lookup(hemispheres_,dmsa.charAt(end-1)))>=0){ -if(k>=0){ -if(ind1!==d.NONE){ -if(dmsa.charAt(beg-1).toUpperCase()=== -dmsa.charAt(end-1).toUpperCase()) -errormsg="Repeated hemisphere indicators "+ -dmsa.charAt(beg-1)+" in "+ -dmsa.substr(beg-1,end-beg+1); -else -errormsg="Contradictory hemisphere indicators "+ -dmsa.charAt(beg-1)+" and "+dmsa.charAt(end-1)+" in "+ -dmsa.substr(beg-1,end-beg+1); -break; -} -ind1=(k&2)?d.LONGITUDE:d.LATITUDE; -sign=(k&1)?1:-1; ---end; -} -} -if(end>beg&&(k=lookup(signs_,dmsa.charAt(beg)))>=0){ -if(k>=0){ -sign*=k?1:-1; -++beg; -} -} -if(end===beg){ -errormsg="Empty or incomplete DMS string "+dmsa; -break; -} -ipieces=[0,0,0]; -fpieces=[0,0,0]; -npiece=0; -icurrent=0; -fcurrent=0; -ncurrent=0; -p=beg; -pointseen=false; -digcount=0; -intcount=0; -while(p=0){ -++ncurrent; -if(digcount>0){ -++digcount; -}else{ -icurrent=10*icurrent+k; -++intcount; -} -}else if(x==='.'){ -if(pointseen){ -errormsg="Multiple decimal points in "+ -dmsa.substr(beg,end-beg); -break; -} -pointseen=true; -digcount=1; -}else if((k=lookup(dmsindicators_,x))>=0){ -if(k>=3){ -if(p===end){ -errormsg="Illegal for colon to appear at the end of "+ -dmsa.substr(beg,end-beg); -break; -} -k=npiece; -} -if(k===npiece-1){ -errormsg="Repeated "+components_[k]+ -" component in "+dmsa.substr(beg,end-beg); -break; -}else if(k0){ -fcurrent=parseFloat(dmsa.substr(p-intcount-digcount-1, -intcount+digcount)); -icurrent=0; -} -ipieces[k]=icurrent; -fpieces[k]=icurrent+fcurrent; -if(p=0){ -errormsg="Internal sign in DMS string "+ -dmsa.substr(beg,end-beg); -break; -}else{ -errormsg="Illegal character "+x+" in DMS string "+ -dmsa.substr(beg,end-beg); -break; -} -} -if(errormsg.length) -break; -if(lookup(dmsindicators_,dmsa.charAt(p-1))<0){ -if(npiece>=3){ -errormsg="Extra text following seconds in DMS string "+ -dmsa.substr(beg,end-beg); -break; -} -if(ncurrent===0){ -errormsg="Missing numbers in trailing component of "+ -dmsa.substr(beg,end-beg); -break; -} -if(digcount>0){ -fcurrent=parseFloat(dmsa.substr(p-intcount-digcount, -intcount+digcount)); -icurrent=0; -} -ipieces[npiece]=icurrent; -fpieces[npiece]=icurrent+fcurrent; -} -if(pointseen&&digcount===0){ -errormsg="Decimal point in non-terminal component of "+ -dmsa.substr(beg,end-beg); -break; -} -if(ipieces[1]>=60||fpieces[1]>60){ -errormsg="Minutes "+fpieces[1]+" not in range [0,60)"; -break; -} -if(ipieces[2]>=60||fpieces[2]>60){ -errormsg="Seconds "+fpieces[2]+" not in range [0,60)"; -break; -} -vals.ind=ind1; -vals.val=sign* -(fpieces[2]?(60*(60*fpieces[0]+fpieces[1])+fpieces[2])/3600: -(fpieces[1]?(60*fpieces[0]+fpieces[1])/60:fpieces[0])); -return vals; -}while(false); -vals.val=numMatch(dmsa); -if(vals.val===0) -throw new Error(errormsg); -else -vals.ind=d.NONE; -return vals; -}; -numMatch=function(s){ -var t,sign,p0,p1; -if(s.length<3) -return 0; -t=s.toUpperCase().replace(/0+$/,""); -sign=t.charAt(0)==='-'?-1:1; -p0=t.charAt(0)==='-'||t.charAt(0)==='+'?1:0; -p1=t.length-1; -if(p1+190) -throw new Error("Latitude "+lat+" not in [-90,90]"); -vals.lat=lat; -vals.lon=lon; -return vals; -}; -d.DecodeAngle=function(angstr){ -var vals=d.Decode(angstr), -ang=vals.val,ind=vals.ind; -if(ind!==d.NONE) -throw new Error("Arc angle "+angstr+ -" includes a hemisphere N/E/W/S"); -return ang; -}; -d.DecodeAzimuth=function(azistr){ -var vals=d.Decode(azistr), -azi=vals.val,ind=vals.ind; -if(ind===d.LATITUDE) -throw new Error("Azimuth "+azistr+" has a latitude hemisphere N/S"); -return azi; -}; -d.Encode=function(angle,trailing,prec,ind){ -var scale=1,i,sign, -idegree,fdegree,f,pieces,ip,fp,s; -if(!ind)ind=d.NONE; -if(!isFinite(angle)) -return angle<0?String("-inf"): -(angle>0?String("inf"):String("nan")); -prec=Math.min(15-2*trailing,prec); -for(i=0;i=1){ -idegree+=1; -fdegree-=1; -} -pieces=[fdegree,0,0]; -for(i=1;i<=trailing;++i){ -ip=Math.floor(pieces[i-1]); -fp=pieces[i-1]-ip; -pieces[i]=fp*60; -pieces[i-1]=ip; -} -pieces[0]+=idegree; -s=""; -if(ind===d.NONE&&sign<0) -s+='-'; -switch(trailing){ -case d.DEGREE: -s+=zerofill(pieces[0].toFixed(prec), -ind===d.NONE?0: -1+Math.min(ind,2)+prec+(prec?1:0))+ -dmsindicatorsu_.charAt(0); -break; -default: -s+=zerofill(pieces[0].toFixed(0), -ind===d.NONE?0:1+Math.min(ind,2))+ -dmsindicatorsu_.charAt(0); -switch(trailing){ -case d.MINUTE: -s+=zerofill(pieces[1].toFixed(prec),2+prec+(prec?1:0))+ -dmsindicatorsu_.charAt(1); -break; -case d.SECOND: -s+=zerofill(pieces[1].toFixed(0),2)+dmsindicatorsu_.charAt(1); -s+=zerofill(pieces[2].toFixed(prec),2+prec+(prec?1:0))+ -dmsindicatorsu_.charAt(2); -break; -default: -break; -} -} -if(ind!==d.NONE&&ind!==d.AZIMUTH) -s+=hemispheres_.charAt((ind===d.LATITUDE?0:2)+ -(sign<0?0:1)); -return s; -}; -})(GeographicLib.DMS); -cb(GeographicLib); -})(function(geo){ -if(typeof module==='object'&&module.exports){ -module.exports=geo; -}else if(typeof define==='function'&&define.amd){ -define('geographiclib',[],function(){return geo;}); -}else{ -window.GeographicLib=geo; -} -}); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/package.json b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/package.json deleted file mode 100644 index 24ce46d7492f7a5ef7796e8f6b21f6f8ed885cf4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/package.json +++ /dev/null @@ -1,37 +0,0 @@ -{ - "name": "geographiclib", - "version": "1.50.0", - "description": - "JavaScript implementation of geodesic routines in GeographicLib", - "main": "geographiclib.js", - "scripts": { - "test": "mocha" - }, - "repository": { - "type": "git", - "url": "git://git.code.sourceforge.net/p/geographiclib/code" - }, - "url": "https://geographiclib.sourceforge.net", - "keywords": [ - "geodesics", - "geometry", - "geographiclib", - "geography", - "geodesic problem", - "direct geodesic problem", - "inverse geodesic problem", - "geodesic calculator" - ], - "devDependencies": { - "mocha": "2.3.0" - }, - "author": "Charles Karney ", - "contributors": [ - "Yurij Mikhalevich <0@39.yt>" - ], - "license": "MIT", - "bugs": { - "url": "https://sourceforge.net/p/geographiclib/discussion/", - "email": "charles@karney.com" - } -} diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/DMS.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/DMS.js deleted file mode 100644 index e800a20c78300b24987662336f2923ab694f8e67..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/DMS.js +++ /dev/null @@ -1,482 +0,0 @@ -/* - * DMS.js - * Transcription of DMS.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -GeographicLib.DMS = {}; - -(function( - /** - * @exports GeographicLib/DMS - * @description Decode/Encode angles expressed as degrees, minutes, and - * seconds. This module defines several constants: - * - hemisphere indicator (returned by - * {@link module:GeographicLib/DMS.Decode Decode}) and a formatting - * indicator (used by - * {@link module:GeographicLib/DMS.Encode Encode}) - * - NONE = 0, no designator and format as plain angle; - * - LATITUDE = 1, a N/S designator and format as latitude; - * - LONGITUDE = 2, an E/W designator and format as longitude; - * - AZIMUTH = 3, format as azimuth; - * - the specification of the trailing component in - * {@link module:GeographicLib/DMS.Encode Encode} - * - DEGREE; - * - MINUTE; - * - SECOND. - */ - d) { - - var lookup, zerofill, internalDecode, numMatch, - hemispheres_ = "SNWE", - signs_ = "-+", - digits_ = "0123456789", - dmsindicators_ = "D'\":", - // dmsindicatorsu_ = "\u00b0\u2032\u2033"; // Unicode variants - dmsindicatorsu_ = "\u00b0'\"", // Use degree symbol - components_ = ["degrees", "minutes", "seconds"]; - lookup = function(s, c) { - return s.indexOf(c.toUpperCase()); - }; - zerofill = function(s, n) { - return String("0000").substr(0, Math.max(0, Math.min(4, n-s.length))) + - s; - }; - d.NONE = 0; - d.LATITUDE = 1; - d.LONGITUDE = 2; - d.AZIMUTH = 3; - d.DEGREE = 0; - d.MINUTE = 1; - d.SECOND = 2; - - /** - * @summary Decode a DMS string. - * @description The interpretation of the string is given in the - * documentation of the corresponding function, Decode(string&, flag&) - * in the {@link - * https://geographiclib.sourceforge.io/html/classGeographicLib_1_1DMS.html - * C++ DMS class} - * @param {string} dms the string. - * @returns {object} r where r.val is the decoded value (degrees) and r.ind - * is a hemisphere designator, one of NONE, LATITUDE, LONGITUDE. - * @throws an error if the string is illegal. - */ - d.Decode = function(dms) { - var dmsa = dms, end, - v = 0, i = 0, mi, pi, vals, - ind1 = d.NONE, ind2, p, pa, pb; - dmsa = dmsa - .replace(/\u2212/g, '-') // U+2212 minus sign - .replace(/\u00b0/g, 'd') // U+00b0 degree symbol - .replace(/\u00ba/g, 'd') // U+00ba alt symbol - .replace(/\u2070/g, 'd') // U+2070 sup zero - .replace(/\u02da/g, 'd') // U+02da ring above - .replace(/\u2032/g, '\'') // U+2032 prime - .replace(/\u00b4/g, '\'') // U+00b4 acute accent - .replace(/\u2019/g, '\'') // U+2019 right single quote - .replace(/\u2033/g, '"') // U+2033 double prime - .replace(/\u201d/g, '"') // U+201d right double quote - .replace(/\u00a0/g, '') // U+00a0 non-breaking space - .replace(/\u202f/g, '') // U+202f narrow space - .replace(/\u2007/g, '') // U+2007 figure space - .replace(/''/g, '"') // '' -> " - .trim(); - - end = dmsa.length; - // p is pointer to the next piece that needs decoding - for (p = 0; p < end; p = pb, ++i) { - pa = p; - // Skip over initial hemisphere letter (for i == 0) - if (i === 0 && lookup(hemispheres_, dmsa.charAt(pa)) >= 0) - ++pa; - // Skip over initial sign (checking for it if i == 0) - if (i > 0 || (pa < end && lookup(signs_, dmsa.charAt(pa)) >= 0)) - ++pa; - // Find next sign - mi = dmsa.substr(pa, end - pa).indexOf('-'); - pi = dmsa.substr(pa, end - pa).indexOf('+'); - if (mi < 0) mi = end; else mi += pa; - if (pi < 0) pi = end; else pi += pa; - pb = Math.min(mi, pi); - vals = internalDecode(dmsa.substr(p, pb - p)); - v += vals.val; ind2 = vals.ind; - if (ind1 === d.NONE) - ind1 = ind2; - else if (!(ind2 === d.NONE || ind1 === ind2)) - throw new Error("Incompatible hemisphere specifies in " + - dmsa.substr(0, pb)); - } - if (i === 0) - throw new Error("Empty or incomplete DMS string " + dmsa); - return {val: v, ind: ind1}; - }; - - internalDecode = function(dmsa) { - var vals = {}, errormsg = "", - sign, beg, end, ind1, k, - ipieces, fpieces, npiece, - icurrent, fcurrent, ncurrent, p, - pointseen, - digcount, intcount, - x; - do { // Executed once (provides the ability to break) - sign = 1; - beg = 0; end = dmsa.length; - ind1 = d.NONE; - k = -1; - if (end > beg && (k = lookup(hemispheres_, dmsa.charAt(beg))) >= 0) { - ind1 = (k & 2) ? d.LONGITUDE : d.LATITUDE; - sign = (k & 1) ? 1 : -1; - ++beg; - } - if (end > beg && - (k = lookup(hemispheres_, dmsa.charAt(end-1))) >= 0) { - if (k >= 0) { - if (ind1 !== d.NONE) { - if (dmsa.charAt(beg - 1).toUpperCase() === - dmsa.charAt(end - 1).toUpperCase()) - errormsg = "Repeated hemisphere indicators " + - dmsa.charAt(beg - 1) + " in " + - dmsa.substr(beg - 1, end - beg + 1); - else - errormsg = "Contradictory hemisphere indicators " + - dmsa.charAt(beg - 1) + " and " + dmsa.charAt(end - 1) + " in " + - dmsa.substr(beg - 1, end - beg + 1); - break; - } - ind1 = (k & 2) ? d.LONGITUDE : d.LATITUDE; - sign = (k & 1) ? 1 : -1; - --end; - } - } - if (end > beg && (k = lookup(signs_, dmsa.charAt(beg))) >= 0) { - if (k >= 0) { - sign *= k ? 1 : -1; - ++beg; - } - } - if (end === beg) { - errormsg = "Empty or incomplete DMS string " + dmsa; - break; - } - ipieces = [0, 0, 0]; - fpieces = [0, 0, 0]; - npiece = 0; - icurrent = 0; - fcurrent = 0; - ncurrent = 0; - p = beg; - pointseen = false; - digcount = 0; - intcount = 0; - while (p < end) { - x = dmsa.charAt(p++); - if ((k = lookup(digits_, x)) >= 0) { - ++ncurrent; - if (digcount > 0) { - ++digcount; // Count of decimal digits - } else { - icurrent = 10 * icurrent + k; - ++intcount; - } - } else if (x === '.') { - if (pointseen) { - errormsg = "Multiple decimal points in " + - dmsa.substr(beg, end - beg); - break; - } - pointseen = true; - digcount = 1; - } else if ((k = lookup(dmsindicators_, x)) >= 0) { - if (k >= 3) { - if (p === end) { - errormsg = "Illegal for colon to appear at the end of " + - dmsa.substr(beg, end - beg); - break; - } - k = npiece; - } - if (k === npiece - 1) { - errormsg = "Repeated " + components_[k] + - " component in " + dmsa.substr(beg, end - beg); - break; - } else if (k < npiece) { - errormsg = components_[k] + " component follows " + - components_[npiece - 1] + " component in " + - dmsa.substr(beg, end - beg); - break; - } - if (ncurrent === 0) { - errormsg = "Missing numbers in " + components_[k] + - " component of " + dmsa.substr(beg, end - beg); - break; - } - if (digcount > 0) { - fcurrent = parseFloat(dmsa.substr(p - intcount - digcount - 1, - intcount + digcount)); - icurrent = 0; - } - ipieces[k] = icurrent; - fpieces[k] = icurrent + fcurrent; - if (p < end) { - npiece = k + 1; - icurrent = fcurrent = 0; - ncurrent = digcount = intcount = 0; - } - } else if (lookup(signs_, x) >= 0) { - errormsg = "Internal sign in DMS string " + - dmsa.substr(beg, end - beg); - break; - } else { - errormsg = "Illegal character " + x + " in DMS string " + - dmsa.substr(beg, end - beg); - break; - } - } - if (errormsg.length) - break; - if (lookup(dmsindicators_, dmsa.charAt(p - 1)) < 0) { - if (npiece >= 3) { - errormsg = "Extra text following seconds in DMS string " + - dmsa.substr(beg, end - beg); - break; - } - if (ncurrent === 0) { - errormsg = "Missing numbers in trailing component of " + - dmsa.substr(beg, end - beg); - break; - } - if (digcount > 0) { - fcurrent = parseFloat(dmsa.substr(p - intcount - digcount, - intcount + digcount)); - icurrent = 0; - } - ipieces[npiece] = icurrent; - fpieces[npiece] = icurrent + fcurrent; - } - if (pointseen && digcount === 0) { - errormsg = "Decimal point in non-terminal component of " + - dmsa.substr(beg, end - beg); - break; - } - // Note that we accept 59.999999... even though it rounds to 60. - if (ipieces[1] >= 60 || fpieces[1] > 60) { - errormsg = "Minutes " + fpieces[1] + " not in range [0,60)"; - break; - } - if (ipieces[2] >= 60 || fpieces[2] > 60) { - errormsg = "Seconds " + fpieces[2] + " not in range [0,60)"; - break; - } - vals.ind = ind1; - // Assume check on range of result is made by calling routine (which - // might be able to offer a better diagnostic). - vals.val = sign * - ( fpieces[2] ? (60*(60*fpieces[0] + fpieces[1]) + fpieces[2]) / 3600 : - ( fpieces[1] ? (60*fpieces[0] + fpieces[1]) / 60 : fpieces[0] ) ); - return vals; - } while (false); - vals.val = numMatch(dmsa); - if (vals.val === 0) - throw new Error(errormsg); - else - vals.ind = d.NONE; - return vals; - }; - - numMatch = function(s) { - var t, sign, p0, p1; - if (s.length < 3) - return 0; - t = s.toUpperCase().replace(/0+$/, ""); - sign = t.charAt(0) === '-' ? -1 : 1; - p0 = t.charAt(0) === '-' || t.charAt(0) === '+' ? 1 : 0; - p1 = t.length - 1; - if (p1 + 1 < p0 + 3) - return 0; - // Strip off sign and trailing 0s - t = t.substr(p0, p1 + 1 - p0); // Length at least 3 - if (t === "NAN" || t === "1.#QNAN" || t === "1.#SNAN" || t === "1.#IND" || - t === "1.#R") - return Number.NaN; - else if (t === "INF" || t === "1.#INF") - return sign * Number.POSITIVE_INFINITY; - return 0; - }; - - /** - * @summary Decode two DMS strings interpreting them as a latitude/longitude - * pair. - * @param {string} stra the first string. - * @param {string} strb the first string. - * @param {bool} [longfirst = false] if true assume then longitude is given - * first (in the absence of any hemisphere indicators). - * @returns {object} r where r.lat is the decoded latitude and r.lon is the - * decoded longitude (both in degrees). - * @throws an error if the strings are illegal. - */ - d.DecodeLatLon = function(stra, strb, longfirst) { - var vals = {}, - valsa = d.Decode(stra), - valsb = d.Decode(strb), - a = valsa.val, ia = valsa.ind, - b = valsb.val, ib = valsb.ind, - lat, lon; - if (!longfirst) longfirst = false; - if (ia === d.NONE && ib === d.NONE) { - // Default to lat, long unless longfirst - ia = longfirst ? d.LONGITUDE : d.LATITUDE; - ib = longfirst ? d.LATITUDE : d.LONGITUDE; - } else if (ia === d.NONE) - ia = d.LATITUDE + d.LONGITUDE - ib; - else if (ib === d.NONE) - ib = d.LATITUDE + d.LONGITUDE - ia; - if (ia === ib) - throw new Error("Both " + stra + " and " + strb + " interpreted as " + - (ia === d.LATITUDE ? "latitudes" : "longitudes")); - lat = ia === d.LATITUDE ? a : b; - lon = ia === d.LATITUDE ? b : a; - if (Math.abs(lat) > 90) - throw new Error("Latitude " + lat + " not in [-90,90]"); - vals.lat = lat; - vals.lon = lon; - return vals; - }; - - /** - * @summary Decode a DMS string interpreting it as an arc length. - * @param {string} angstr the string (this must not include a hemisphere - * indicator). - * @returns {number} the arc length (degrees). - * @throws an error if the string is illegal. - */ - d.DecodeAngle = function(angstr) { - var vals = d.Decode(angstr), - ang = vals.val, ind = vals.ind; - if (ind !== d.NONE) - throw new Error("Arc angle " + angstr + - " includes a hemisphere N/E/W/S"); - return ang; - }; - - /** - * @summary Decode a DMS string interpreting it as an azimuth. - * @param {string} azistr the string (this may include an E/W hemisphere - * indicator). - * @returns {number} the azimuth (degrees). - * @throws an error if the string is illegal. - */ - d.DecodeAzimuth = function(azistr) { - var vals = d.Decode(azistr), - azi = vals.val, ind = vals.ind; - if (ind === d.LATITUDE) - throw new Error("Azimuth " + azistr + " has a latitude hemisphere N/S"); - return azi; - }; - - /** - * @summary Convert angle (in degrees) into a DMS string (using °, ', - * and "). - * @param {number} angle input angle (degrees). - * @param {number} trailing one of DEGREE, MINUTE, or SECOND to indicate - * the trailing component of the string (this component is given as a - * decimal number if necessary). - * @param {number} prec the number of digits after the decimal point for - * the trailing component. - * @param {number} [ind = NONE] a formatting indicator, one of NONE, - * LATITUDE, LONGITUDE, AZIMUTH. - * @returns {string} the resulting string formatted as follows: - * * NONE, signed result no leading zeros on degrees except in the units - * place, e.g., -8°03'. - * * LATITUDE, trailing N or S hemisphere designator, no sign, pad - * degrees to 2 digits, e.g., 08°03'S. - * * LONGITUDE, trailing E or W hemisphere designator, no sign, pad - * degrees to 3 digits, e.g., 008°03'W. - * * AZIMUTH, convert to the range [0, 360°), no sign, pad degrees to - * 3 digits, e.g., 351°57'. - */ - d.Encode = function(angle, trailing, prec, ind) { - // Assume check on range of input angle has been made by calling - // routine (which might be able to offer a better diagnostic). - var scale = 1, i, sign, - idegree, fdegree, f, pieces, ip, fp, s; - if (!ind) ind = d.NONE; - if (!isFinite(angle)) - return angle < 0 ? String("-inf") : - (angle > 0 ? String("inf") : String("nan")); - - // 15 - 2 * trailing = ceiling(log10(2^53/90/60^trailing)). - // This suffices to give full real precision for numbers in [-90,90] - prec = Math.min(15 - 2 * trailing, prec); - for (i = 0; i < trailing; ++i) - scale *= 60; - for (i = 0; i < prec; ++i) - scale *= 10; - if (ind === d.AZIMUTH) - angle -= Math.floor(angle/360) * 360; - sign = angle < 0 ? -1 : 1; - angle *= sign; - - // Break off integer part to preserve precision in manipulation of - // fractional part. - idegree = Math.floor(angle); - fdegree = (angle - idegree) * scale + 0.5; - f = Math.floor(fdegree); - // Implement the "round ties to even" rule - fdegree = (f === fdegree && (f & 1) === 1) ? f - 1 : f; - fdegree /= scale; - - fdegree = Math.floor((angle - idegree) * scale + 0.5) / scale; - if (fdegree >= 1) { - idegree += 1; - fdegree -= 1; - } - pieces = [fdegree, 0, 0]; - for (i = 1; i <= trailing; ++i) { - ip = Math.floor(pieces[i - 1]); - fp = pieces[i - 1] - ip; - pieces[i] = fp * 60; - pieces[i - 1] = ip; - } - pieces[0] += idegree; - s = ""; - if (ind === d.NONE && sign < 0) - s += '-'; - switch (trailing) { - case d.DEGREE: - s += zerofill(pieces[0].toFixed(prec), - ind === d.NONE ? 0 : - 1 + Math.min(ind, 2) + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(0); - break; - default: - s += zerofill(pieces[0].toFixed(0), - ind === d.NONE ? 0 : 1 + Math.min(ind, 2)) + - dmsindicatorsu_.charAt(0); - switch (trailing) { - case d.MINUTE: - s += zerofill(pieces[1].toFixed(prec), 2 + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(1); - break; - case d.SECOND: - s += zerofill(pieces[1].toFixed(0), 2) + dmsindicatorsu_.charAt(1); - s += zerofill(pieces[2].toFixed(prec), 2 + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(2); - break; - default: - break; - } - } - if (ind !== d.NONE && ind !== d.AZIMUTH) - s += hemispheres_.charAt((ind === d.LATITUDE ? 0 : 2) + - (sign < 0 ? 0 : 1)); - return s; - }; -})(GeographicLib.DMS); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/Geodesic.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/Geodesic.js deleted file mode 100644 index 2dacdb88f63be11da353ac6ae570db50e78dce5f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/Geodesic.js +++ /dev/null @@ -1,1393 +0,0 @@ -/* - * Geodesic.js - * Transcription of Geodesic.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2017) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER Math.js - -GeographicLib.Geodesic = {}; -GeographicLib.GeodesicLine = {}; -GeographicLib.PolygonArea = {}; - -(function( - /** - * @exports GeographicLib/Geodesic - * @description Solve geodesic problems via the - * {@link module:GeographicLib/Geodesic.Geodesic Geodesic} class. - */ - g, l, p, m, c) { - - var GEOGRAPHICLIB_GEODESIC_ORDER = 6, - nA1_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA2_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA3_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA3x_ = nA3_, - nC3x_, nC4x_, - maxit1_ = 20, - maxit2_ = maxit1_ + m.digits + 10, - tol0_ = m.epsilon, - tol1_ = 200 * tol0_, - tol2_ = Math.sqrt(tol0_), - tolb_ = tol0_ * tol1_, - xthresh_ = 1000 * tol2_, - CAP_NONE = 0, - CAP_ALL = 0x1F, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80, - astroid, - A1m1f_coeff, C1f_coeff, C1pf_coeff, - A2m1f_coeff, C2f_coeff, - A3_coeff, C3_coeff, C4_coeff; - - g.tiny_ = Math.sqrt(Number.MIN_VALUE); - g.nC1_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC1p_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC2_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC3_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC4_ = GEOGRAPHICLIB_GEODESIC_ORDER; - nC3x_ = (g.nC3_ * (g.nC3_ - 1)) / 2; - nC4x_ = (g.nC4_ * (g.nC4_ + 1)) / 2; - g.CAP_C1 = 1<<0; - g.CAP_C1p = 1<<1; - g.CAP_C2 = 1<<2; - g.CAP_C3 = 1<<3; - g.CAP_C4 = 1<<4; - - g.NONE = 0; - g.ARC = 1<<6; - g.LATITUDE = 1<<7 | CAP_NONE; - g.LONGITUDE = 1<<8 | g.CAP_C3; - g.AZIMUTH = 1<<9 | CAP_NONE; - g.DISTANCE = 1<<10 | g.CAP_C1; - g.STANDARD = g.LATITUDE | g.LONGITUDE | g.AZIMUTH | g.DISTANCE; - g.DISTANCE_IN = 1<<11 | g.CAP_C1 | g.CAP_C1p; - g.REDUCEDLENGTH = 1<<12 | g.CAP_C1 | g.CAP_C2; - g.GEODESICSCALE = 1<<13 | g.CAP_C1 | g.CAP_C2; - g.AREA = 1<<14 | g.CAP_C4; - g.ALL = OUT_ALL| CAP_ALL; - g.LONG_UNROLL = 1<<15; - g.OUT_MASK = OUT_ALL| g.LONG_UNROLL; - - g.SinCosSeries = function(sinp, sinx, cosx, c) { - // Evaluate - // y = sinp ? sum(c[i] * sin( 2*i * x), i, 1, n) : - // sum(c[i] * cos((2*i+1) * x), i, 0, n-1) - // using Clenshaw summation. N.B. c[0] is unused for sin series - // Approx operation count = (n + 5) mult and (2 * n + 2) add - var k = c.length, // Point to one beyond last element - n = k - (sinp ? 1 : 0), - ar = 2 * (cosx - sinx) * (cosx + sinx), // 2 * cos(2 * x) - y0 = n & 1 ? c[--k] : 0, y1 = 0; // accumulators for sum - // Now n is even - n = Math.floor(n/2); - while (n--) { - // Unroll loop x 2, so accumulators return to their original role - y1 = ar * y0 - y1 + c[--k]; - y0 = ar * y1 - y0 + c[--k]; - } - return (sinp ? 2 * sinx * cosx * y0 : // sin(2 * x) * y0 - cosx * (y0 - y1)); // cos(x) * (y0 - y1) - }; - - astroid = function(x, y) { - // Solve k^4+2*k^3-(x^2+y^2-1)*k^2-2*y^2*k-y^2 = 0 for positive - // root k. This solution is adapted from Geocentric::Reverse. - var k, - p = m.sq(x), - q = m.sq(y), - r = (p + q - 1) / 6, - S, r2, r3, disc, u, T3, T, ang, v, uv, w; - if ( !(q === 0 && r <= 0) ) { - // Avoid possible division by zero when r = 0 by multiplying - // equations for s and t by r^3 and r, resp. - S = p * q / 4; // S = r^3 * s - r2 = m.sq(r); - r3 = r * r2; - // The discriminant of the quadratic equation for T3. This is - // zero on the evolute curve p^(1/3)+q^(1/3) = 1 - disc = S * (S + 2 * r3); - u = r; - if (disc >= 0) { - T3 = S + r3; - // Pick the sign on the sqrt to maximize abs(T3). This - // minimizes loss of precision due to cancellation. The - // result is unchanged because of the way the T is used - // in definition of u. - T3 += T3 < 0 ? -Math.sqrt(disc) : Math.sqrt(disc); // T3 = (r * t)^3 - // N.B. cbrt always returns the real root. cbrt(-8) = -2. - T = m.cbrt(T3); // T = r * t - // T can be zero; but then r2 / T -> 0. - u += T + (T !== 0 ? r2 / T : 0); - } else { - // T is complex, but the way u is defined the result is real. - ang = Math.atan2(Math.sqrt(-disc), -(S + r3)); - // There are three possible cube roots. We choose the - // root which avoids cancellation. Note that disc < 0 - // implies that r < 0. - u += 2 * r * Math.cos(ang / 3); - } - v = Math.sqrt(m.sq(u) + q); // guaranteed positive - // Avoid loss of accuracy when u < 0. - uv = u < 0 ? q / (v - u) : u + v; // u+v, guaranteed positive - w = (uv - q) / (2 * v); // positive? - // Rearrange expression for k to avoid loss of accuracy due to - // subtraction. Division by 0 not possible because uv > 0, w >= 0. - k = uv / (Math.sqrt(uv + m.sq(w)) + w); // guaranteed positive - } else { // q == 0 && r <= 0 - // y = 0 with |x| <= 1. Handle this case directly. - // for y small, positive root is k = abs(y)/sqrt(1-x^2) - k = 0; - } - return k; - }; - - A1m1f_coeff = [ - // (1-eps)*A1-1, polynomial in eps2 of order 3 - +1, 4, 64, 0, 256 - ]; - - // The scale factor A1-1 = mean value of (d/dsigma)I1 - 1 - g.A1m1f = function(eps) { - var p = Math.floor(nA1_/2), - t = m.polyval(p, A1m1f_coeff, 0, m.sq(eps)) / A1m1f_coeff[p + 1]; - return (t + eps) / (1 - eps); - }; - - C1f_coeff = [ - // C1[1]/eps^1, polynomial in eps2 of order 2 - -1, 6, -16, 32, - // C1[2]/eps^2, polynomial in eps2 of order 2 - -9, 64, -128, 2048, - // C1[3]/eps^3, polynomial in eps2 of order 1 - +9, -16, 768, - // C1[4]/eps^4, polynomial in eps2 of order 1 - +3, -5, 512, - // C1[5]/eps^5, polynomial in eps2 of order 0 - -7, 1280, - // C1[6]/eps^6, polynomial in eps2 of order 0 - -7, 2048 - ]; - - // The coefficients C1[l] in the Fourier expansion of B1 - g.C1f = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC1_; ++l) { // l is index of C1p[l] - p = Math.floor((g.nC1_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C1f_coeff, o, eps2) / C1f_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - C1pf_coeff = [ - // C1p[1]/eps^1, polynomial in eps2 of order 2 - +205, -432, 768, 1536, - // C1p[2]/eps^2, polynomial in eps2 of order 2 - +4005, -4736, 3840, 12288, - // C1p[3]/eps^3, polynomial in eps2 of order 1 - -225, 116, 384, - // C1p[4]/eps^4, polynomial in eps2 of order 1 - -7173, 2695, 7680, - // C1p[5]/eps^5, polynomial in eps2 of order 0 - +3467, 7680, - // C1p[6]/eps^6, polynomial in eps2 of order 0 - +38081, 61440 - ]; - - // The coefficients C1p[l] in the Fourier expansion of B1p - g.C1pf = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC1p_; ++l) { // l is index of C1p[l] - p = Math.floor((g.nC1p_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C1pf_coeff, o, eps2) / C1pf_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - A2m1f_coeff = [ - // (eps+1)*A2-1, polynomial in eps2 of order 3 - -11, -28, -192, 0, 256 - ]; - - // The scale factor A2-1 = mean value of (d/dsigma)I2 - 1 - g.A2m1f = function(eps) { - var p = Math.floor(nA2_/2), - t = m.polyval(p, A2m1f_coeff, 0, m.sq(eps)) / A2m1f_coeff[p + 1]; - return (t - eps) / (1 + eps); - }; - - C2f_coeff = [ - // C2[1]/eps^1, polynomial in eps2 of order 2 - +1, 2, 16, 32, - // C2[2]/eps^2, polynomial in eps2 of order 2 - +35, 64, 384, 2048, - // C2[3]/eps^3, polynomial in eps2 of order 1 - +15, 80, 768, - // C2[4]/eps^4, polynomial in eps2 of order 1 - +7, 35, 512, - // C2[5]/eps^5, polynomial in eps2 of order 0 - +63, 1280, - // C2[6]/eps^6, polynomial in eps2 of order 0 - +77, 2048 - ]; - - // The coefficients C2[l] in the Fourier expansion of B2 - g.C2f = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC2_; ++l) { // l is index of C2[l] - p = Math.floor((g.nC2_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C2f_coeff, o, eps2) / C2f_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @summary Initialize a Geodesic object for a specific ellipsoid. - * @classdesc Performs geodesic calculations on an ellipsoid of revolution. - * The routines for solving the direct and inverse problems return an - * object with some of the following fields set: lat1, lon1, azi1, lat2, - * lon2, azi2, s12, a12, m12, M12, M21, S12. See {@tutorial 2-interface}, - * "The results". - * @example - * var GeographicLib = require("geographiclib"), - * geod = GeographicLib.Geodesic.WGS84; - * var inv = geod.Inverse(1,2,3,4); - * console.log("lat1 = " + inv.lat1 + ", lon1 = " + inv.lon1 + - * ", lat2 = " + inv.lat2 + ", lon2 = " + inv.lon2 + - * ",\nazi1 = " + inv.azi1 + ", azi2 = " + inv.azi2 + - * ", s12 = " + inv.s12); - * @param {number} a the equatorial radius of the ellipsoid (meters). - * @param {number} f the flattening of the ellipsoid. Setting f = 0 gives - * a sphere (on which geodesics are great circles). Negative f gives a - * prolate ellipsoid. - * @throws an error if the parameters are illegal. - */ - g.Geodesic = function(a, f) { - this.a = a; - this.f = f; - this._f1 = 1 - this.f; - this._e2 = this.f * (2 - this.f); - this._ep2 = this._e2 / m.sq(this._f1); // e2 / (1 - e2) - this._n = this.f / ( 2 - this.f); - this._b = this.a * this._f1; - // authalic radius squared - this._c2 = (m.sq(this.a) + m.sq(this._b) * - (this._e2 === 0 ? 1 : - (this._e2 > 0 ? m.atanh(Math.sqrt(this._e2)) : - Math.atan(Math.sqrt(-this._e2))) / - Math.sqrt(Math.abs(this._e2))))/2; - // The sig12 threshold for "really short". Using the auxiliary sphere - // solution with dnm computed at (bet1 + bet2) / 2, the relative error in - // the azimuth consistency check is sig12^2 * abs(f) * min(1, 1-f/2) / 2. - // (Error measured for 1/100 < b/a < 100 and abs(f) >= 1/1000. For a given - // f and sig12, the max error occurs for lines near the pole. If the old - // rule for computing dnm = (dn1 + dn2)/2 is used, then the error increases - // by a factor of 2.) Setting this equal to epsilon gives sig12 = etol2. - // Here 0.1 is a safety factor (error decreased by 100) and max(0.001, - // abs(f)) stops etol2 getting too large in the nearly spherical case. - this._etol2 = 0.1 * tol2_ / - Math.sqrt( Math.max(0.001, Math.abs(this.f)) * - Math.min(1.0, 1 - this.f/2) / 2 ); - if (!(isFinite(this.a) && this.a > 0)) - throw new Error("Equatorial radius is not positive"); - if (!(isFinite(this._b) && this._b > 0)) - throw new Error("Polar semi-axis is not positive"); - this._A3x = new Array(nA3x_); - this._C3x = new Array(nC3x_); - this._C4x = new Array(nC4x_); - this.A3coeff(); - this.C3coeff(); - this.C4coeff(); - }; - - A3_coeff = [ - // A3, coeff of eps^5, polynomial in n of order 0 - -3, 128, - // A3, coeff of eps^4, polynomial in n of order 1 - -2, -3, 64, - // A3, coeff of eps^3, polynomial in n of order 2 - -1, -3, -1, 16, - // A3, coeff of eps^2, polynomial in n of order 2 - +3, -1, -2, 8, - // A3, coeff of eps^1, polynomial in n of order 1 - +1, -1, 2, - // A3, coeff of eps^0, polynomial in n of order 0 - +1, 1 - ]; - - // The scale factor A3 = mean value of (d/dsigma)I3 - g.Geodesic.prototype.A3coeff = function() { - var o = 0, k = 0, - j, p; - for (j = nA3_ - 1; j >= 0; --j) { // coeff of eps^j - p = Math.min(nA3_ - j - 1, j); // order of polynomial in n - this._A3x[k++] = m.polyval(p, A3_coeff, o, this._n) / - A3_coeff[o + p + 1]; - o += p + 2; - } - }; - - C3_coeff = [ - // C3[1], coeff of eps^5, polynomial in n of order 0 - +3, 128, - // C3[1], coeff of eps^4, polynomial in n of order 1 - +2, 5, 128, - // C3[1], coeff of eps^3, polynomial in n of order 2 - -1, 3, 3, 64, - // C3[1], coeff of eps^2, polynomial in n of order 2 - -1, 0, 1, 8, - // C3[1], coeff of eps^1, polynomial in n of order 1 - -1, 1, 4, - // C3[2], coeff of eps^5, polynomial in n of order 0 - +5, 256, - // C3[2], coeff of eps^4, polynomial in n of order 1 - +1, 3, 128, - // C3[2], coeff of eps^3, polynomial in n of order 2 - -3, -2, 3, 64, - // C3[2], coeff of eps^2, polynomial in n of order 2 - +1, -3, 2, 32, - // C3[3], coeff of eps^5, polynomial in n of order 0 - +7, 512, - // C3[3], coeff of eps^4, polynomial in n of order 1 - -10, 9, 384, - // C3[3], coeff of eps^3, polynomial in n of order 2 - +5, -9, 5, 192, - // C3[4], coeff of eps^5, polynomial in n of order 0 - +7, 512, - // C3[4], coeff of eps^4, polynomial in n of order 1 - -14, 7, 512, - // C3[5], coeff of eps^5, polynomial in n of order 0 - +21, 2560 - ]; - - // The coefficients C3[l] in the Fourier expansion of B3 - g.Geodesic.prototype.C3coeff = function() { - var o = 0, k = 0, - l, j, p; - for (l = 1; l < g.nC3_; ++l) { // l is index of C3[l] - for (j = g.nC3_ - 1; j >= l; --j) { // coeff of eps^j - p = Math.min(g.nC3_ - j - 1, j); // order of polynomial in n - this._C3x[k++] = m.polyval(p, C3_coeff, o, this._n) / - C3_coeff[o + p + 1]; - o += p + 2; - } - } - }; - - C4_coeff = [ - // C4[0], coeff of eps^5, polynomial in n of order 0 - +97, 15015, - // C4[0], coeff of eps^4, polynomial in n of order 1 - +1088, 156, 45045, - // C4[0], coeff of eps^3, polynomial in n of order 2 - -224, -4784, 1573, 45045, - // C4[0], coeff of eps^2, polynomial in n of order 3 - -10656, 14144, -4576, -858, 45045, - // C4[0], coeff of eps^1, polynomial in n of order 4 - +64, 624, -4576, 6864, -3003, 15015, - // C4[0], coeff of eps^0, polynomial in n of order 5 - +100, 208, 572, 3432, -12012, 30030, 45045, - // C4[1], coeff of eps^5, polynomial in n of order 0 - +1, 9009, - // C4[1], coeff of eps^4, polynomial in n of order 1 - -2944, 468, 135135, - // C4[1], coeff of eps^3, polynomial in n of order 2 - +5792, 1040, -1287, 135135, - // C4[1], coeff of eps^2, polynomial in n of order 3 - +5952, -11648, 9152, -2574, 135135, - // C4[1], coeff of eps^1, polynomial in n of order 4 - -64, -624, 4576, -6864, 3003, 135135, - // C4[2], coeff of eps^5, polynomial in n of order 0 - +8, 10725, - // C4[2], coeff of eps^4, polynomial in n of order 1 - +1856, -936, 225225, - // C4[2], coeff of eps^3, polynomial in n of order 2 - -8448, 4992, -1144, 225225, - // C4[2], coeff of eps^2, polynomial in n of order 3 - -1440, 4160, -4576, 1716, 225225, - // C4[3], coeff of eps^5, polynomial in n of order 0 - -136, 63063, - // C4[3], coeff of eps^4, polynomial in n of order 1 - +1024, -208, 105105, - // C4[3], coeff of eps^3, polynomial in n of order 2 - +3584, -3328, 1144, 315315, - // C4[4], coeff of eps^5, polynomial in n of order 0 - -128, 135135, - // C4[4], coeff of eps^4, polynomial in n of order 1 - -2560, 832, 405405, - // C4[5], coeff of eps^5, polynomial in n of order 0 - +128, 99099 - ]; - - g.Geodesic.prototype.C4coeff = function() { - var o = 0, k = 0, - l, j, p; - for (l = 0; l < g.nC4_; ++l) { // l is index of C4[l] - for (j = g.nC4_ - 1; j >= l; --j) { // coeff of eps^j - p = g.nC4_ - j - 1; // order of polynomial in n - this._C4x[k++] = m.polyval(p, C4_coeff, o, this._n) / - C4_coeff[o + p + 1]; - o += p + 2; - } - } - }; - - g.Geodesic.prototype.A3f = function(eps) { - // Evaluate A3 - return m.polyval(nA3x_ - 1, this._A3x, 0, eps); - }; - - g.Geodesic.prototype.C3f = function(eps, c) { - // Evaluate C3 coeffs - // Elements c[1] thru c[nC3_ - 1] are set - var mult = 1, - o = 0, - l, p; - for (l = 1; l < g.nC3_; ++l) { // l is index of C3[l] - p = g.nC3_ - l - 1; // order of polynomial in eps - mult *= eps; - c[l] = mult * m.polyval(p, this._C3x, o, eps); - o += p + 1; - } - }; - - g.Geodesic.prototype.C4f = function(eps, c) { - // Evaluate C4 coeffs - // Elements c[0] thru c[g.nC4_ - 1] are set - var mult = 1, - o = 0, - l, p; - for (l = 0; l < g.nC4_; ++l) { // l is index of C4[l] - p = g.nC4_ - l - 1; // order of polynomial in eps - c[l] = mult * m.polyval(p, this._C4x, o, eps); - o += p + 1; - mult *= eps; - } - }; - - // return s12b, m12b, m0, M12, M21 - g.Geodesic.prototype.Lengths = function(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, outmask, - C1a, C2a) { - // Return m12b = (reduced length)/_b; also calculate s12b = - // distance/_b, and m0 = coefficient of secular term in - // expression for reduced length. - outmask &= g.OUT_MASK; - var vals = {}, - m0x = 0, J12 = 0, A1 = 0, A2 = 0, - B1, B2, l, csig12, t; - if (outmask & (g.DISTANCE | g.REDUCEDLENGTH | g.GEODESICSCALE)) { - A1 = g.A1m1f(eps); - g.C1f(eps, C1a); - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - A2 = g.A2m1f(eps); - g.C2f(eps, C2a); - m0x = A1 - A2; - A2 = 1 + A2; - } - A1 = 1 + A1; - } - if (outmask & g.DISTANCE) { - B1 = g.SinCosSeries(true, ssig2, csig2, C1a) - - g.SinCosSeries(true, ssig1, csig1, C1a); - // Missing a factor of _b - vals.s12b = A1 * (sig12 + B1); - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - B2 = g.SinCosSeries(true, ssig2, csig2, C2a) - - g.SinCosSeries(true, ssig1, csig1, C2a); - J12 = m0x * sig12 + (A1 * B1 - A2 * B2); - } - } else if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - // Assume here that nC1_ >= nC2_ - for (l = 1; l <= g.nC2_; ++l) - C2a[l] = A1 * C1a[l] - A2 * C2a[l]; - J12 = m0x * sig12 + (g.SinCosSeries(true, ssig2, csig2, C2a) - - g.SinCosSeries(true, ssig1, csig1, C2a)); - } - if (outmask & g.REDUCEDLENGTH) { - vals.m0 = m0x; - // Missing a factor of _b. - // Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - vals.m12b = dn2 * (csig1 * ssig2) - dn1 * (ssig1 * csig2) - - csig1 * csig2 * J12; - } - if (outmask & g.GEODESICSCALE) { - csig12 = csig1 * csig2 + ssig1 * ssig2; - t = this._ep2 * (cbet1 - cbet2) * (cbet1 + cbet2) / (dn1 + dn2); - vals.M12 = csig12 + (t * ssig2 - csig2 * J12) * ssig1 / dn1; - vals.M21 = csig12 - (t * ssig1 - csig1 * J12) * ssig2 / dn2; - } - return vals; - }; - - // return sig12, salp1, calp1, salp2, calp2, dnm - g.Geodesic.prototype.InverseStart = function(sbet1, cbet1, dn1, - sbet2, cbet2, dn2, - lam12, slam12, clam12, - C1a, C2a) { - // Return a starting point for Newton's method in salp1 and calp1 - // (function value is -1). If Newton's method doesn't need to be - // used, return also salp2 and calp2 and function value is sig12. - // salp2, calp2 only updated if return val >= 0. - var vals = {}, - // bet12 = bet2 - bet1 in [0, pi); bet12a = bet2 + bet1 in (-pi, 0] - sbet12 = sbet2 * cbet1 - cbet2 * sbet1, - cbet12 = cbet2 * cbet1 + sbet2 * sbet1, - sbet12a, shortline, omg12, sbetm2, somg12, comg12, t, ssig12, csig12, - x, y, lamscale, betscale, k2, eps, cbet12a, bet12a, m12b, m0, nvals, - k, omg12a, lam12x; - vals.sig12 = -1; // Return value - // Volatile declaration needed to fix inverse cases - // 88.202499451857 0 -88.202499451857 179.981022032992859592 - // 89.262080389218 0 -89.262080389218 179.992207982775375662 - // 89.333123580033 0 -89.333123580032997687 179.99295812360148422 - // which otherwise fail with g++ 4.4.4 x86 -O3 - sbet12a = sbet2 * cbet1; - sbet12a += cbet2 * sbet1; - - shortline = cbet12 >= 0 && sbet12 < 0.5 && cbet2 * lam12 < 0.5; - if (shortline) { - sbetm2 = m.sq(sbet1 + sbet2); - // sin((bet1+bet2)/2)^2 - // = (sbet1 + sbet2)^2 / ((sbet1 + sbet2)^2 + (cbet1 + cbet2)^2) - sbetm2 /= sbetm2 + m.sq(cbet1 + cbet2); - vals.dnm = Math.sqrt(1 + this._ep2 * sbetm2); - omg12 = lam12 / (this._f1 * vals.dnm); - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } else { - somg12 = slam12; comg12 = clam12; - } - - vals.salp1 = cbet2 * somg12; - vals.calp1 = comg12 >= 0 ? - sbet12 + cbet2 * sbet1 * m.sq(somg12) / (1 + comg12) : - sbet12a - cbet2 * sbet1 * m.sq(somg12) / (1 - comg12); - - ssig12 = m.hypot(vals.salp1, vals.calp1); - csig12 = sbet1 * sbet2 + cbet1 * cbet2 * comg12; - if (shortline && ssig12 < this._etol2) { - // really short lines - vals.salp2 = cbet1 * somg12; - vals.calp2 = sbet12 - cbet1 * sbet2 * - (comg12 >= 0 ? m.sq(somg12) / (1 + comg12) : 1 - comg12); - // norm(vals.salp2, vals.calp2); - t = m.hypot(vals.salp2, vals.calp2); vals.salp2 /= t; vals.calp2 /= t; - // Set return value - vals.sig12 = Math.atan2(ssig12, csig12); - } else if (Math.abs(this._n) > 0.1 || // Skip astroid calc if too eccentric - csig12 >= 0 || - ssig12 >= 6 * Math.abs(this._n) * Math.PI * m.sq(cbet1)) { - // Nothing to do, zeroth order spherical approximation is OK - } else { - // Scale lam12 and bet2 to x, y coordinate system where antipodal - // point is at origin and singular point is at y = 0, x = -1. - lam12x = Math.atan2(-slam12, -clam12); // lam12 - pi - if (this.f >= 0) { // In fact f == 0 does not get here - // x = dlong, y = dlat - k2 = m.sq(sbet1) * this._ep2; - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - lamscale = this.f * cbet1 * this.A3f(eps) * Math.PI; - betscale = lamscale * cbet1; - - x = lam12x / lamscale; - y = sbet12a / betscale; - } else { // f < 0 - // x = dlat, y = dlong - cbet12a = cbet2 * cbet1 - sbet2 * sbet1; - bet12a = Math.atan2(sbet12a, cbet12a); - // In the case of lon12 = 180, this repeats a calculation made - // in Inverse. - nvals = this.Lengths(this._n, Math.PI + bet12a, - sbet1, -cbet1, dn1, sbet2, cbet2, dn2, - cbet1, cbet2, g.REDUCEDLENGTH, C1a, C2a); - m12b = nvals.m12b; m0 = nvals.m0; - x = -1 + m12b / (cbet1 * cbet2 * m0 * Math.PI); - betscale = x < -0.01 ? sbet12a / x : - -this.f * m.sq(cbet1) * Math.PI; - lamscale = betscale / cbet1; - y = lam12 / lamscale; - } - - if (y > -tol1_ && x > -1 - xthresh_) { - // strip near cut - if (this.f >= 0) { - vals.salp1 = Math.min(1, -x); - vals.calp1 = -Math.sqrt(1 - m.sq(vals.salp1)); - } else { - vals.calp1 = Math.max(x > -tol1_ ? 0 : -1, x); - vals.salp1 = Math.sqrt(1 - m.sq(vals.calp1)); - } - } else { - // Estimate alp1, by solving the astroid problem. - // - // Could estimate alpha1 = theta + pi/2, directly, i.e., - // calp1 = y/k; salp1 = -x/(1+k); for f >= 0 - // calp1 = x/(1+k); salp1 = -y/k; for f < 0 (need to check) - // - // However, it's better to estimate omg12 from astroid and use - // spherical formula to compute alp1. This reduces the mean number of - // Newton iterations for astroid cases from 2.24 (min 0, max 6) to 2.12 - // (min 0 max 5). The changes in the number of iterations are as - // follows: - // - // change percent - // 1 5 - // 0 78 - // -1 16 - // -2 0.6 - // -3 0.04 - // -4 0.002 - // - // The histogram of iterations is (m = number of iterations estimating - // alp1 directly, n = number of iterations estimating via omg12, total - // number of trials = 148605): - // - // iter m n - // 0 148 186 - // 1 13046 13845 - // 2 93315 102225 - // 3 36189 32341 - // 4 5396 7 - // 5 455 1 - // 6 56 0 - // - // Because omg12 is near pi, estimate work with omg12a = pi - omg12 - k = astroid(x, y); - omg12a = lamscale * ( this.f >= 0 ? -x * k/(1 + k) : -y * (1 + k)/k ); - somg12 = Math.sin(omg12a); comg12 = -Math.cos(omg12a); - // Update spherical estimate of alp1 using omg12 instead of - // lam12 - vals.salp1 = cbet2 * somg12; - vals.calp1 = sbet12a - - cbet2 * sbet1 * m.sq(somg12) / (1 - comg12); - } - } - // Sanity check on starting guess. Backwards check allows NaN through. - if (!(vals.salp1 <= 0.0)) { - // norm(vals.salp1, vals.calp1); - t = m.hypot(vals.salp1, vals.calp1); vals.salp1 /= t; vals.calp1 /= t; - } else { - vals.salp1 = 1; vals.calp1 = 0; - } - return vals; - }; - - // return lam12, salp2, calp2, sig12, ssig1, csig1, ssig2, csig2, eps, - // domg12, dlam12, - g.Geodesic.prototype.Lambda12 = function(sbet1, cbet1, dn1, - sbet2, cbet2, dn2, - salp1, calp1, slam120, clam120, - diffp, C1a, C2a, C3a) { - var vals = {}, - t, salp0, calp0, - somg1, comg1, somg2, comg2, somg12, comg12, B312, eta, k2, nvals; - if (sbet1 === 0 && calp1 === 0) - // Break degeneracy of equatorial line. This case has already been - // handled. - calp1 = -g.tiny_; - - // sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1; - calp0 = m.hypot(calp1, salp1 * sbet1); // calp0 > 0 - - // tan(bet1) = tan(sig1) * cos(alp1) - // tan(omg1) = sin(alp0) * tan(sig1) = tan(omg1)=tan(alp1)*sin(bet1) - vals.ssig1 = sbet1; somg1 = salp0 * sbet1; - vals.csig1 = comg1 = calp1 * cbet1; - // norm(vals.ssig1, vals.csig1); - t = m.hypot(vals.ssig1, vals.csig1); vals.ssig1 /= t; vals.csig1 /= t; - // norm(somg1, comg1); -- don't need to normalize! - - // Enforce symmetries in the case abs(bet2) = -bet1. Need to be careful - // about this case, since this can yield singularities in the Newton - // iteration. - // sin(alp2) * cos(bet2) = sin(alp0) - vals.salp2 = cbet2 !== cbet1 ? salp0 / cbet2 : salp1; - // calp2 = sqrt(1 - sq(salp2)) - // = sqrt(sq(calp0) - sq(sbet2)) / cbet2 - // and subst for calp0 and rearrange to give (choose positive sqrt - // to give alp2 in [0, pi/2]). - vals.calp2 = cbet2 !== cbet1 || Math.abs(sbet2) !== -sbet1 ? - Math.sqrt(m.sq(calp1 * cbet1) + (cbet1 < -sbet1 ? - (cbet2 - cbet1) * (cbet1 + cbet2) : - (sbet1 - sbet2) * (sbet1 + sbet2))) / - cbet2 : Math.abs(calp1); - // tan(bet2) = tan(sig2) * cos(alp2) - // tan(omg2) = sin(alp0) * tan(sig2). - vals.ssig2 = sbet2; somg2 = salp0 * sbet2; - vals.csig2 = comg2 = vals.calp2 * cbet2; - // norm(vals.ssig2, vals.csig2); - t = m.hypot(vals.ssig2, vals.csig2); vals.ssig2 /= t; vals.csig2 /= t; - // norm(somg2, comg2); -- don't need to normalize! - - // sig12 = sig2 - sig1, limit to [0, pi] - vals.sig12 = Math.atan2(Math.max(0, vals.csig1 * vals.ssig2 - - vals.ssig1 * vals.csig2), - vals.csig1 * vals.csig2 + - vals.ssig1 * vals.ssig2); - - // omg12 = omg2 - omg1, limit to [0, pi] - somg12 = Math.max(0, comg1 * somg2 - somg1 * comg2); - comg12 = comg1 * comg2 + somg1 * somg2; - // eta = omg12 - lam120 - eta = Math.atan2(somg12 * clam120 - comg12 * slam120, - comg12 * clam120 + somg12 * slam120); - k2 = m.sq(calp0) * this._ep2; - vals.eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - this.C3f(vals.eps, C3a); - B312 = (g.SinCosSeries(true, vals.ssig2, vals.csig2, C3a) - - g.SinCosSeries(true, vals.ssig1, vals.csig1, C3a)); - vals.domg12 = -this.f * this.A3f(vals.eps) * salp0 * (vals.sig12 + B312); - vals.lam12 = eta + vals.domg12; - if (diffp) { - if (vals.calp2 === 0) - vals.dlam12 = -2 * this._f1 * dn1 / sbet1; - else { - nvals = this.Lengths(vals.eps, vals.sig12, - vals.ssig1, vals.csig1, dn1, - vals.ssig2, vals.csig2, dn2, - cbet1, cbet2, g.REDUCEDLENGTH, C1a, C2a); - vals.dlam12 = nvals.m12b; - vals.dlam12 *= this._f1 / (vals.calp2 * cbet2); - } - } - return vals; - }; - - /** - * @summary Solve the inverse geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} lat2 the latitude of the second point in degrees. - * @param {number} lon2 the longitude of the second point in degrees. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results - * @description The lat1, lon1, lat2, lon2, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Inverse = function(lat1, lon1, lat2, lon2, outmask) { - var r, vals; - if (!outmask) outmask = g.STANDARD; - if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - outmask &= g.OUT_MASK; - r = this.InverseInt(lat1, lon1, lat2, lon2, outmask); - vals = r.vals; - if (outmask & g.AZIMUTH) { - vals.azi1 = m.atan2d(r.salp1, r.calp1); - vals.azi2 = m.atan2d(r.salp2, r.calp2); - } - return vals; - }; - - g.Geodesic.prototype.InverseInt = function(lat1, lon1, lat2, lon2, outmask) { - var vals = {}, - lon12, lon12s, lonsign, t, swapp, latsign, - sbet1, cbet1, sbet2, cbet2, s12x, m12x, - dn1, dn2, lam12, slam12, clam12, - sig12, calp1, salp1, calp2, salp2, C1a, C2a, C3a, meridian, nvals, - ssig1, csig1, ssig2, csig2, eps, omg12, dnm, - numit, salp1a, calp1a, salp1b, calp1b, - tripn, tripb, v, dv, dalp1, sdalp1, cdalp1, nsalp1, - lengthmask, salp0, calp0, alp12, k2, A4, C4a, B41, B42, - somg12, comg12, domg12, dbet1, dbet2, salp12, calp12, sdomg12, cdomg12; - // Compute longitude difference (AngDiff does this carefully). Result is - // in [-180, 180] but -180 is only for west-going geodesics. 180 is for - // east-going and meridional geodesics. - vals.lat1 = lat1 = m.LatFix(lat1); vals.lat2 = lat2 = m.LatFix(lat2); - // If really close to the equator, treat as on equator. - lat1 = m.AngRound(lat1); - lat2 = m.AngRound(lat2); - lon12 = m.AngDiff(lon1, lon2); lon12s = lon12.t; lon12 = lon12.s; - if (outmask & g.LONG_UNROLL) { - vals.lon1 = lon1; vals.lon2 = (lon1 + lon12) + lon12s; - } else { - vals.lon1 = m.AngNormalize(lon1); vals.lon2 = m.AngNormalize(lon2); - } - // Make longitude difference positive. - lonsign = lon12 >= 0 ? 1 : -1; - // If very close to being on the same half-meridian, then make it so. - lon12 = lonsign * m.AngRound(lon12); - lon12s = m.AngRound((180 - lon12) - lonsign * lon12s); - lam12 = lon12 * m.degree; - t = m.sincosd(lon12 > 90 ? lon12s : lon12); - slam12 = t.s; clam12 = (lon12 > 90 ? -1 : 1) * t.c; - - // Swap points so that point with higher (abs) latitude is point 1 - // If one latitude is a nan, then it becomes lat1. - swapp = Math.abs(lat1) < Math.abs(lat2) ? -1 : 1; - if (swapp < 0) { - lonsign *= -1; - t = lat1; - lat1 = lat2; - lat2 = t; - // swap(lat1, lat2); - } - // Make lat1 <= 0 - latsign = lat1 < 0 ? 1 : -1; - lat1 *= latsign; - lat2 *= latsign; - // Now we have - // - // 0 <= lon12 <= 180 - // -90 <= lat1 <= 0 - // lat1 <= lat2 <= -lat1 - // - // longsign, swapp, latsign register the transformation to bring the - // coordinates to this canonical form. In all cases, 1 means no change was - // made. We make these transformations so that there are few cases to - // check, e.g., on verifying quadrants in atan2. In addition, this - // enforces some symmetries in the results returned. - - t = m.sincosd(lat1); sbet1 = this._f1 * t.s; cbet1 = t.c; - // norm(sbet1, cbet1); - t = m.hypot(sbet1, cbet1); sbet1 /= t; cbet1 /= t; - // Ensure cbet1 = +epsilon at poles - cbet1 = Math.max(g.tiny_, cbet1); - - t = m.sincosd(lat2); sbet2 = this._f1 * t.s; cbet2 = t.c; - // norm(sbet2, cbet2); - t = m.hypot(sbet2, cbet2); sbet2 /= t; cbet2 /= t; - // Ensure cbet2 = +epsilon at poles - cbet2 = Math.max(g.tiny_, cbet2); - - // If cbet1 < -sbet1, then cbet2 - cbet1 is a sensitive measure of the - // |bet1| - |bet2|. Alternatively (cbet1 >= -sbet1), abs(sbet2) + sbet1 is - // a better measure. This logic is used in assigning calp2 in Lambda12. - // Sometimes these quantities vanish and in that case we force bet2 = +/- - // bet1 exactly. An example where is is necessary is the inverse problem - // 48.522876735459 0 -48.52287673545898293 179.599720456223079643 - // which failed with Visual Studio 10 (Release and Debug) - - if (cbet1 < -sbet1) { - if (cbet2 === cbet1) - sbet2 = sbet2 < 0 ? sbet1 : -sbet1; - } else { - if (Math.abs(sbet2) === -sbet1) - cbet2 = cbet1; - } - - dn1 = Math.sqrt(1 + this._ep2 * m.sq(sbet1)); - dn2 = Math.sqrt(1 + this._ep2 * m.sq(sbet2)); - - // index zero elements of these arrays are unused - C1a = new Array(g.nC1_ + 1); - C2a = new Array(g.nC2_ + 1); - C3a = new Array(g.nC3_); - - meridian = lat1 === -90 || slam12 === 0; - if (meridian) { - - // Endpoints are on a single full meridian, so the geodesic might - // lie on a meridian. - - calp1 = clam12; salp1 = slam12; // Head to the target longitude - calp2 = 1; salp2 = 0; // At the target we're heading north - - // tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - - // sig12 = sig2 - sig1 - sig12 = Math.atan2(Math.max(0, csig1 * ssig2 - ssig1 * csig2), - csig1 * csig2 + ssig1 * ssig2); - nvals = this.Lengths(this._n, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, cbet1, cbet2, - outmask | g.DISTANCE | g.REDUCEDLENGTH, - C1a, C2a); - s12x = nvals.s12b; - m12x = nvals.m12b; - // Ignore m0 - if (outmask & g.GEODESICSCALE) { - vals.M12 = nvals.M12; - vals.M21 = nvals.M21; - } - // Add the check for sig12 since zero length geodesics might yield - // m12 < 0. Test case was - // - // echo 20.001 0 20.001 0 | GeodSolve -i - // - // In fact, we will have sig12 > pi/2 for meridional geodesic - // which is not a shortest path. - if (sig12 < 1 || m12x >= 0) { - // Need at least 2, to handle 90 0 90 180 - if (sig12 < 3 * g.tiny_) - sig12 = m12x = s12x = 0; - m12x *= this._b; - s12x *= this._b; - vals.a12 = sig12 / m.degree; - } else - // m12 < 0, i.e., prolate and too close to anti-podal - meridian = false; - } - - somg12 = 2; - if (!meridian && - sbet1 === 0 && // and sbet2 == 0 - (this.f <= 0 || lon12s >= this.f * 180)) { - - // Geodesic runs along equator - calp1 = calp2 = 0; salp1 = salp2 = 1; - s12x = this.a * lam12; - sig12 = omg12 = lam12 / this._f1; - m12x = this._b * Math.sin(sig12); - if (outmask & g.GEODESICSCALE) - vals.M12 = vals.M21 = Math.cos(sig12); - vals.a12 = lon12 / this._f1; - - } else if (!meridian) { - - // Now point1 and point2 belong within a hemisphere bounded by a - // meridian and geodesic is neither meridional or equatorial. - - // Figure a starting point for Newton's method - nvals = this.InverseStart(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - lam12, slam12, clam12, C1a, C2a); - sig12 = nvals.sig12; - salp1 = nvals.salp1; - calp1 = nvals.calp1; - - if (sig12 >= 0) { - salp2 = nvals.salp2; - calp2 = nvals.calp2; - // Short lines (InverseStart sets salp2, calp2, dnm) - - dnm = nvals.dnm; - s12x = sig12 * this._b * dnm; - m12x = m.sq(dnm) * this._b * Math.sin(sig12 / dnm); - if (outmask & g.GEODESICSCALE) - vals.M12 = vals.M21 = Math.cos(sig12 / dnm); - vals.a12 = sig12 / m.degree; - omg12 = lam12 / (this._f1 * dnm); - } else { - - // Newton's method. This is a straightforward solution of f(alp1) = - // lambda12(alp1) - lam12 = 0 with one wrinkle. f(alp) has exactly one - // root in the interval (0, pi) and its derivative is positive at the - // root. Thus f(alp) is positive for alp > alp1 and negative for alp < - // alp1. During the course of the iteration, a range (alp1a, alp1b) is - // maintained which brackets the root and with each evaluation of - // f(alp) the range is shrunk if possible. Newton's method is - // restarted whenever the derivative of f is negative (because the new - // value of alp1 is then further from the solution) or if the new - // estimate of alp1 lies outside (0,pi); in this case, the new starting - // guess is taken to be (alp1a + alp1b) / 2. - numit = 0; - // Bracketing range - salp1a = g.tiny_; calp1a = 1; salp1b = g.tiny_; calp1b = -1; - for (tripn = false, tripb = false; numit < maxit2_; ++numit) { - // the WGS84 test set: mean = 1.47, sd = 1.25, max = 16 - // WGS84 and random input: mean = 2.85, sd = 0.60 - nvals = this.Lambda12(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - salp1, calp1, slam12, clam12, numit < maxit1_, - C1a, C2a, C3a); - v = nvals.lam12; - salp2 = nvals.salp2; - calp2 = nvals.calp2; - sig12 = nvals.sig12; - ssig1 = nvals.ssig1; - csig1 = nvals.csig1; - ssig2 = nvals.ssig2; - csig2 = nvals.csig2; - eps = nvals.eps; - domg12 = nvals.domg12; - dv = nvals.dlam12; - - // 2 * tol0 is approximately 1 ulp for a number in [0, pi]. - // Reversed test to allow escape with NaNs - if (tripb || !(Math.abs(v) >= (tripn ? 8 : 1) * tol0_)) - break; - // Update bracketing values - if (v > 0 && (numit < maxit1_ || calp1/salp1 > calp1b/salp1b)) { - salp1b = salp1; calp1b = calp1; - } else if (v < 0 && - (numit < maxit1_ || calp1/salp1 < calp1a/salp1a)) { - salp1a = salp1; calp1a = calp1; - } - if (numit < maxit1_ && dv > 0) { - dalp1 = -v/dv; - sdalp1 = Math.sin(dalp1); cdalp1 = Math.cos(dalp1); - nsalp1 = salp1 * cdalp1 + calp1 * sdalp1; - if (nsalp1 > 0 && Math.abs(dalp1) < Math.PI) { - calp1 = calp1 * cdalp1 - salp1 * sdalp1; - salp1 = nsalp1; - // norm(salp1, calp1); - t = m.hypot(salp1, calp1); salp1 /= t; calp1 /= t; - // In some regimes we don't get quadratic convergence because - // slope -> 0. So use convergence conditions based on epsilon - // instead of sqrt(epsilon). - tripn = Math.abs(v) <= 16 * tol0_; - continue; - } - } - // Either dv was not positive or updated value was outside legal - // range. Use the midpoint of the bracket as the next estimate. - // This mechanism is not needed for the WGS84 ellipsoid, but it does - // catch problems with more eccentric ellipsoids. Its efficacy is - // such for the WGS84 test set with the starting guess set to alp1 = - // 90deg: - // the WGS84 test set: mean = 5.21, sd = 3.93, max = 24 - // WGS84 and random input: mean = 4.74, sd = 0.99 - salp1 = (salp1a + salp1b)/2; - calp1 = (calp1a + calp1b)/2; - // norm(salp1, calp1); - t = m.hypot(salp1, calp1); salp1 /= t; calp1 /= t; - tripn = false; - tripb = (Math.abs(salp1a - salp1) + (calp1a - calp1) < tolb_ || - Math.abs(salp1 - salp1b) + (calp1 - calp1b) < tolb_); - } - lengthmask = outmask | - (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE) ? - g.DISTANCE : g.NONE); - nvals = this.Lengths(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, - lengthmask, C1a, C2a); - s12x = nvals.s12b; - m12x = nvals.m12b; - // Ignore m0 - if (outmask & g.GEODESICSCALE) { - vals.M12 = nvals.M12; - vals.M21 = nvals.M21; - } - m12x *= this._b; - s12x *= this._b; - vals.a12 = sig12 / m.degree; - if (outmask & g.AREA) { - // omg12 = lam12 - domg12 - sdomg12 = Math.sin(domg12); cdomg12 = Math.cos(domg12); - somg12 = slam12 * cdomg12 - clam12 * sdomg12; - comg12 = clam12 * cdomg12 + slam12 * sdomg12; - } - } - } - - if (outmask & g.DISTANCE) - vals.s12 = 0 + s12x; // Convert -0 to 0 - - if (outmask & g.REDUCEDLENGTH) - vals.m12 = 0 + m12x; // Convert -0 to 0 - - if (outmask & g.AREA) { - // From Lambda12: sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1; - calp0 = m.hypot(calp1, salp1 * sbet1); // calp0 > 0 - if (calp0 !== 0 && salp0 !== 0) { - // From Lambda12: tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - k2 = m.sq(calp0) * this._ep2; - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0). - A4 = m.sq(this.a) * calp0 * salp0 * this._e2; - // norm(ssig1, csig1); - t = m.hypot(ssig1, csig1); ssig1 /= t; csig1 /= t; - // norm(ssig2, csig2); - t = m.hypot(ssig2, csig2); ssig2 /= t; csig2 /= t; - C4a = new Array(g.nC4_); - this.C4f(eps, C4a); - B41 = g.SinCosSeries(false, ssig1, csig1, C4a); - B42 = g.SinCosSeries(false, ssig2, csig2, C4a); - vals.S12 = A4 * (B42 - B41); - } else - // Avoid problems with indeterminate sig1, sig2 on equator - vals.S12 = 0; - if (!meridian && somg12 > 1) { - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } - if (!meridian && - comg12 > -0.7071 && // Long difference not too big - sbet2 - sbet1 < 1.75) { // Lat difference not too big - // Use tan(Gamma/2) = tan(omg12/2) - // * (tan(bet1/2)+tan(bet2/2))/(1+tan(bet1/2)*tan(bet2/2)) - // with tan(x/2) = sin(x)/(1+cos(x)) - domg12 = 1 + comg12; dbet1 = 1 + cbet1; dbet2 = 1 + cbet2; - alp12 = 2 * Math.atan2( somg12 * (sbet1*dbet2 + sbet2*dbet1), - domg12 * (sbet1*sbet2 + dbet1*dbet2) ); - } else { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * calp1 - calp2 * salp1; - calp12 = calp2 * calp1 + salp2 * salp1; - // The right thing appears to happen if alp1 = +/-180 and alp2 = 0, viz - // salp12 = -0 and alp12 = -180. However this depends on the sign - // being attached to 0 correctly. The following ensures the correct - // behavior. - if (salp12 === 0 && calp12 < 0) { - salp12 = g.tiny_ * calp1; - calp12 = -1; - } - alp12 = Math.atan2(salp12, calp12); - } - vals.S12 += this._c2 * alp12; - vals.S12 *= swapp * lonsign * latsign; - // Convert -0 to 0 - vals.S12 += 0; - } - - // Convert calp, salp to azimuth accounting for lonsign, swapp, latsign. - if (swapp < 0) { - t = salp1; - salp1 = salp2; - salp2 = t; - // swap(salp1, salp2); - t = calp1; - calp1 = calp2; - calp2 = t; - // swap(calp1, calp2); - if (outmask & g.GEODESICSCALE) { - t = vals.M12; - vals.M12 = vals.M21; - vals.M21 = t; - // swap(vals.M12, vals.M21); - } - } - - salp1 *= swapp * lonsign; calp1 *= swapp * latsign; - salp2 *= swapp * lonsign; calp2 *= swapp * latsign; - - return {vals: vals, - salp1: salp1, calp1: calp1, - salp2: salp2, calp2: calp2}; - }; - - /** - * @summary Solve the general direct geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {bool} arcmode is the next parameter an arc length? - * @param {number} s12_a12 the (arcmode ? arc length : distance) from the - * first point to the second in (arcmode ? degrees : meters). - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are always - * set; s12 is included if arcmode is false. For details on the outmask - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.GenDirect = function(lat1, lon1, azi1, - arcmode, s12_a12, outmask) { - var line; - if (!outmask) outmask = g.STANDARD; - else if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) outmask |= g.DISTANCE_IN; - line = new l.GeodesicLine(this, lat1, lon1, azi1, outmask); - return line.GenPosition(arcmode, s12_a12, outmask); - }; - - /** - * @summary Solve the direct geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {number} s12 the distance from the first point to the second in - * meters. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, s12, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Direct = function(lat1, lon1, azi1, s12, outmask) { - return this.GenDirect(lat1, lon1, azi1, false, s12, outmask); - }; - - /** - * @summary Solve the direct geodesic problem with arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {number} a12 the arc length from the first point to the second in - * degrees. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.ArcDirect = function(lat1, lon1, azi1, a12, outmask) { - return this.GenDirect(lat1, lon1, azi1, true, a12, outmask); - }; - - /** - * @summary Create a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description For details on the caps parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Line = function(lat1, lon1, azi1, caps) { - return new l.GeodesicLine(this, lat1, lon1, azi1, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of distance. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {number} s12 the distance between point 1 and point 2 (meters); it - * can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.DirectLine = function(lat1, lon1, azi1, s12, caps) { - return this.GenDirectLine(lat1, lon1, azi1, false, s12, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {number} a12 the arc length between point 1 and point 2 (degrees); - * it can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.ArcDirectLine = function(lat1, lon1, azi1, a12, caps) { - return this.GenDirectLine(lat1, lon1, azi1, true, a12, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of either distance or arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {bool} arcmode boolean flag determining the meaning of the - * s12_a12. - * @param {number} s12_a12 if arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.GenDirectLine = function(lat1, lon1, azi1, - arcmode, s12_a12, caps) { - var t; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) caps |= g.DISTANCE_IN; - t = new l.GeodesicLine(this, lat1, lon1, azi1, caps); - t.GenSetDistance(arcmode, s12_a12); - return t; - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the inverse geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} lat2 the latitude of the second point in degrees. - * @param {number} lon2 the longitude of the second point in degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the inverse geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.InverseLine = function(lat1, lon1, lat2, lon2, caps) { - var r, t, azi1; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - r = this.InverseInt(lat1, lon1, lat2, lon2, g.ARC); - azi1 = m.atan2d(r.salp1, r.calp1); - // Ensure that a12 can be converted to a distance - if (caps & (g.OUT_MASK & g.DISTANCE_IN)) caps |= g.DISTANCE; - t = new l.GeodesicLine(this, lat1, lon1, azi1, caps, r.salp1, r.calp1); - t.SetArc(r.vals.a12); - return t; - }; - - /** - * @summary Create a {@link module:GeographicLib/PolygonArea.PolygonArea - * PolygonArea} object. - * @param {bool} [polyline = false] if true the new PolygonArea object - * describes a polyline instead of a polygon. - * @returns {object} the - * {@link module:GeographicLib/PolygonArea.PolygonArea - * PolygonArea} object - */ - g.Geodesic.prototype.Polygon = function(polyline) { - return new p.PolygonArea(this, polyline); - }; - - /** - * @summary a {@link module:GeographicLib/Geodesic.Geodesic Geodesic} object - * initialized for the WGS84 ellipsoid. - * @constant {object} - */ - g.WGS84 = new g.Geodesic(c.WGS84.a, c.WGS84.f); -})(GeographicLib.Geodesic, GeographicLib.GeodesicLine, - GeographicLib.PolygonArea, GeographicLib.Math, GeographicLib.Constants); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/GeodesicLine.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/GeodesicLine.js deleted file mode 100644 index e21330d95e4c3ed42b3ec4dbf375d72ec330ee8b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/GeodesicLine.js +++ /dev/null @@ -1,415 +0,0 @@ -/* - * GeodesicLine.js - * Transcription of GeodesicLine.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER GeographicLib/Math.js, GeographicLib/Geodesic.js - -(function( - g, - /** - * @exports GeographicLib/GeodesicLine - * @description Solve geodesic problems on a single geodesic line via the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} - * class. - */ - l, m) { - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @property {number} lat1 the initial latitude (degrees). - * @property {number} lon1 the initial longitude (degrees). - * @property {number} azi1 the initial azimuth (degrees). - * @property {number} salp1 the sine of the azimuth at the first point. - * @property {number} calp1 the cosine the azimuth at the first point. - * @property {number} s13 the distance to point 3 (meters). - * @property {number} a13 the arc length to point 3 (degrees). - * @property {bitmask} caps the capabilities of the object. - * @summary Initialize a GeodesicLine object. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - * @classdesc Performs geodesic calculations along a given geodesic line. - * This object is usually instantiated by - * {@link module:GeographicLib/Geodesic.Geodesic#Line Geodesic.Line}. - * The methods - * {@link module:GeographicLib/Geodesic.Geodesic#DirectLine - * Geodesic.DirectLine} and - * {@link module:GeographicLib/Geodesic.Geodesic#InverseLine - * Geodesic.InverseLine} set in addition the position of a reference point - * 3. - * @param {object} geod a {@link module:GeographicLib/Geodesic.Geodesic - * Geodesic} object. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include; LATITUDE | AZIMUTH are always included. - */ - l.GeodesicLine = function(geod, lat1, lon1, azi1, caps, salp1, calp1) { - var t, cbet1, sbet1, eps, s, c; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - - this.a = geod.a; - this.f = geod.f; - this._b = geod._b; - this._c2 = geod._c2; - this._f1 = geod._f1; - this.caps = caps | g.LATITUDE | g.AZIMUTH | g.LONG_UNROLL; - - this.lat1 = m.LatFix(lat1); - this.lon1 = lon1; - if (typeof salp1 === 'undefined' || typeof calp1 === 'undefined') { - this.azi1 = m.AngNormalize(azi1); - t = m.sincosd(m.AngRound(this.azi1)); this.salp1 = t.s; this.calp1 = t.c; - } else { - this.azi1 = azi1; this.salp1 = salp1; this.calp1 = calp1; - } - t = m.sincosd(m.AngRound(this.lat1)); sbet1 = this._f1 * t.s; cbet1 = t.c; - // norm(sbet1, cbet1); - t = m.hypot(sbet1, cbet1); sbet1 /= t; cbet1 /= t; - // Ensure cbet1 = +epsilon at poles - cbet1 = Math.max(g.tiny_, cbet1); - this._dn1 = Math.sqrt(1 + geod._ep2 * m.sq(sbet1)); - - // Evaluate alp0 from sin(alp1) * cos(bet1) = sin(alp0), - this._salp0 = this.salp1 * cbet1; // alp0 in [0, pi/2 - |bet1|] - // Alt: calp0 = hypot(sbet1, calp1 * cbet1). The following - // is slightly better (consider the case salp1 = 0). - this._calp0 = m.hypot(this.calp1, this.salp1 * sbet1); - // Evaluate sig with tan(bet1) = tan(sig1) * cos(alp1). - // sig = 0 is nearest northward crossing of equator. - // With bet1 = 0, alp1 = pi/2, we have sig1 = 0 (equatorial line). - // With bet1 = pi/2, alp1 = -pi, sig1 = pi/2 - // With bet1 = -pi/2, alp1 = 0 , sig1 = -pi/2 - // Evaluate omg1 with tan(omg1) = sin(alp0) * tan(sig1). - // With alp0 in (0, pi/2], quadrants for sig and omg coincide. - // No atan2(0,0) ambiguity at poles since cbet1 = +epsilon. - // With alp0 = 0, omg1 = 0 for alp1 = 0, omg1 = pi for alp1 = pi. - this._ssig1 = sbet1; this._somg1 = this._salp0 * sbet1; - this._csig1 = this._comg1 = - sbet1 !== 0 || this.calp1 !== 0 ? cbet1 * this.calp1 : 1; - // norm(this._ssig1, this._csig1); // sig1 in (-pi, pi] - t = m.hypot(this._ssig1, this._csig1); - this._ssig1 /= t; this._csig1 /= t; - // norm(this._somg1, this._comg1); -- don't need to normalize! - - this._k2 = m.sq(this._calp0) * geod._ep2; - eps = this._k2 / (2 * (1 + Math.sqrt(1 + this._k2)) + this._k2); - - if (this.caps & g.CAP_C1) { - this._A1m1 = g.A1m1f(eps); - this._C1a = new Array(g.nC1_ + 1); - g.C1f(eps, this._C1a); - this._B11 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C1a); - s = Math.sin(this._B11); c = Math.cos(this._B11); - // tau1 = sig1 + B11 - this._stau1 = this._ssig1 * c + this._csig1 * s; - this._ctau1 = this._csig1 * c - this._ssig1 * s; - // Not necessary because C1pa reverts C1a - // _B11 = -SinCosSeries(true, _stau1, _ctau1, _C1pa); - } - - if (this.caps & g.CAP_C1p) { - this._C1pa = new Array(g.nC1p_ + 1); - g.C1pf(eps, this._C1pa); - } - - if (this.caps & g.CAP_C2) { - this._A2m1 = g.A2m1f(eps); - this._C2a = new Array(g.nC2_ + 1); - g.C2f(eps, this._C2a); - this._B21 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C2a); - } - - if (this.caps & g.CAP_C3) { - this._C3a = new Array(g.nC3_); - geod.C3f(eps, this._C3a); - this._A3c = -this.f * this._salp0 * geod.A3f(eps); - this._B31 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C3a); - } - - if (this.caps & g.CAP_C4) { - this._C4a = new Array(g.nC4_); // all the elements of _C4a are used - geod.C4f(eps, this._C4a); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0) - this._A4 = m.sq(this.a) * this._calp0 * this._salp0 * geod._e2; - this._B41 = g.SinCosSeries(false, this._ssig1, this._csig1, this._C4a); - } - - this.a13 = this.s13 = Number.NaN; - }; - - /** - * @summary Find the position on the line (general case). - * @param {bool} arcmode is the next parameter an arc length? - * @param {number} s12_a12 the (arcmode ? arc length : distance) from the - * first point to the second in (arcmode ? degrees : meters). - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set; s12 is included if arcmode is false. For details on the - * outmask parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - l.GeodesicLine.prototype.GenPosition = function(arcmode, s12_a12, - outmask) { - var vals = {}, - sig12, ssig12, csig12, B12, AB1, ssig2, csig2, tau12, s, c, serr, - omg12, lam12, lon12, E, sbet2, cbet2, somg2, comg2, salp2, calp2, dn2, - B22, AB2, J12, t, B42, salp12, calp12; - if (!outmask) outmask = g.STANDARD; - else if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - outmask &= this.caps & g.OUT_MASK; - vals.lat1 = this.lat1; vals.azi1 = this.azi1; - vals.lon1 = outmask & g.LONG_UNROLL ? - this.lon1 : m.AngNormalize(this.lon1); - if (arcmode) - vals.a12 = s12_a12; - else - vals.s12 = s12_a12; - if (!( arcmode || (this.caps & g.DISTANCE_IN & g.OUT_MASK) )) { - // Uninitialized or impossible distance calculation requested - vals.a12 = Number.NaN; - return vals; - } - - // Avoid warning about uninitialized B12. - B12 = 0; AB1 = 0; - if (arcmode) { - // Interpret s12_a12 as spherical arc length - sig12 = s12_a12 * m.degree; - t = m.sincosd(s12_a12); ssig12 = t.s; csig12 = t.c; - } else { - // Interpret s12_a12 as distance - tau12 = s12_a12 / (this._b * (1 + this._A1m1)); - s = Math.sin(tau12); - c = Math.cos(tau12); - // tau2 = tau1 + tau12 - B12 = -g.SinCosSeries(true, - this._stau1 * c + this._ctau1 * s, - this._ctau1 * c - this._stau1 * s, - this._C1pa); - sig12 = tau12 - (B12 - this._B11); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - if (Math.abs(this.f) > 0.01) { - // Reverted distance series is inaccurate for |f| > 1/100, so correct - // sig12 with 1 Newton iteration. The following table shows the - // approximate maximum error for a = WGS_a() and various f relative to - // GeodesicExact. - // erri = the error in the inverse solution (nm) - // errd = the error in the direct solution (series only) (nm) - // errda = the error in the direct solution - // (series + 1 Newton) (nm) - // - // f erri errd errda - // -1/5 12e6 1.2e9 69e6 - // -1/10 123e3 12e6 765e3 - // -1/20 1110 108e3 7155 - // -1/50 18.63 200.9 27.12 - // -1/100 18.63 23.78 23.37 - // -1/150 18.63 21.05 20.26 - // 1/150 22.35 24.73 25.83 - // 1/100 22.35 25.03 25.31 - // 1/50 29.80 231.9 30.44 - // 1/20 5376 146e3 10e3 - // 1/10 829e3 22e6 1.5e6 - // 1/5 157e6 3.8e9 280e6 - ssig2 = this._ssig1 * csig12 + this._csig1 * ssig12; - csig2 = this._csig1 * csig12 - this._ssig1 * ssig12; - B12 = g.SinCosSeries(true, ssig2, csig2, this._C1a); - serr = (1 + this._A1m1) * (sig12 + (B12 - this._B11)) - - s12_a12 / this._b; - sig12 = sig12 - serr / Math.sqrt(1 + this._k2 * m.sq(ssig2)); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - // Update B12 below - } - } - - // sig2 = sig1 + sig12 - ssig2 = this._ssig1 * csig12 + this._csig1 * ssig12; - csig2 = this._csig1 * csig12 - this._ssig1 * ssig12; - dn2 = Math.sqrt(1 + this._k2 * m.sq(ssig2)); - if (outmask & (g.DISTANCE | g.REDUCEDLENGTH | g.GEODESICSCALE)) { - if (arcmode || Math.abs(this.f) > 0.01) - B12 = g.SinCosSeries(true, ssig2, csig2, this._C1a); - AB1 = (1 + this._A1m1) * (B12 - this._B11); - } - // sin(bet2) = cos(alp0) * sin(sig2) - sbet2 = this._calp0 * ssig2; - // Alt: cbet2 = hypot(csig2, salp0 * ssig2); - cbet2 = m.hypot(this._salp0, this._calp0 * csig2); - if (cbet2 === 0) - // I.e., salp0 = 0, csig2 = 0. Break the degeneracy in this case - cbet2 = csig2 = g.tiny_; - // tan(alp0) = cos(sig2)*tan(alp2) - salp2 = this._salp0; calp2 = this._calp0 * csig2; // No need to normalize - - if (arcmode && (outmask & g.DISTANCE)) - vals.s12 = this._b * ((1 + this._A1m1) * sig12 + AB1); - - if (outmask & g.LONGITUDE) { - // tan(omg2) = sin(alp0) * tan(sig2) - somg2 = this._salp0 * ssig2; comg2 = csig2; // No need to normalize - E = m.copysign(1, this._salp0); - // omg12 = omg2 - omg1 - omg12 = outmask & g.LONG_UNROLL ? - E * (sig12 - - (Math.atan2(ssig2, csig2) - - Math.atan2(this._ssig1, this._csig1)) + - (Math.atan2(E * somg2, comg2) - - Math.atan2(E * this._somg1, this._comg1))) : - Math.atan2(somg2 * this._comg1 - comg2 * this._somg1, - comg2 * this._comg1 + somg2 * this._somg1); - lam12 = omg12 + this._A3c * - ( sig12 + (g.SinCosSeries(true, ssig2, csig2, this._C3a) - - this._B31)); - lon12 = lam12 / m.degree; - vals.lon2 = outmask & g.LONG_UNROLL ? this.lon1 + lon12 : - m.AngNormalize(m.AngNormalize(this.lon1) + m.AngNormalize(lon12)); - } - - if (outmask & g.LATITUDE) - vals.lat2 = m.atan2d(sbet2, this._f1 * cbet2); - - if (outmask & g.AZIMUTH) - vals.azi2 = m.atan2d(salp2, calp2); - - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - B22 = g.SinCosSeries(true, ssig2, csig2, this._C2a); - AB2 = (1 + this._A2m1) * (B22 - this._B21); - J12 = (this._A1m1 - this._A2m1) * sig12 + (AB1 - AB2); - if (outmask & g.REDUCEDLENGTH) - // Add parens around (_csig1 * ssig2) and (_ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - vals.m12 = this._b * (( dn2 * (this._csig1 * ssig2) - - this._dn1 * (this._ssig1 * csig2)) - - this._csig1 * csig2 * J12); - if (outmask & g.GEODESICSCALE) { - t = this._k2 * (ssig2 - this._ssig1) * (ssig2 + this._ssig1) / - (this._dn1 + dn2); - vals.M12 = csig12 + - (t * ssig2 - csig2 * J12) * this._ssig1 / this._dn1; - vals.M21 = csig12 - - (t * this._ssig1 - this._csig1 * J12) * ssig2 / dn2; - } - } - - if (outmask & g.AREA) { - B42 = g.SinCosSeries(false, ssig2, csig2, this._C4a); - if (this._calp0 === 0 || this._salp0 === 0) { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * this.calp1 - calp2 * this.salp1; - calp12 = calp2 * this.calp1 + salp2 * this.salp1; - } else { - // tan(alp) = tan(alp0) * sec(sig) - // tan(alp2-alp1) = (tan(alp2) -tan(alp1)) / (tan(alp2)*tan(alp1)+1) - // = calp0 * salp0 * (csig1-csig2) / (salp0^2 + calp0^2 * csig1*csig2) - // If csig12 > 0, write - // csig1 - csig2 = ssig12 * (csig1 * ssig12 / (1 + csig12) + ssig1) - // else - // csig1 - csig2 = csig1 * (1 - csig12) + ssig12 * ssig1 - // No need to normalize - salp12 = this._calp0 * this._salp0 * - (csig12 <= 0 ? this._csig1 * (1 - csig12) + ssig12 * this._ssig1 : - ssig12 * (this._csig1 * ssig12 / (1 + csig12) + this._ssig1)); - calp12 = m.sq(this._salp0) + m.sq(this._calp0) * this._csig1 * csig2; - } - vals.S12 = this._c2 * Math.atan2(salp12, calp12) + - this._A4 * (B42 - this._B41); - } - - if (!arcmode) - vals.a12 = sig12 / m.degree; - return vals; - }; - - /** - * @summary Find the position on the line given s12. - * @param {number} s12 the distance from the first point to the second in - * meters. - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, s12, and a12 fields of the result are - * always set; s12 is included if arcmode is false. For details on the - * outmask parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - l.GeodesicLine.prototype.Position = function(s12, outmask) { - return this.GenPosition(false, s12, outmask); - }; - - /** - * @summary Find the position on the line given a12. - * @param {number} a12 the arc length from the first point to the second in - * degrees. - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - l.GeodesicLine.prototype.ArcPosition = function(a12, outmask) { - return this.GenPosition(true, a12, outmask); - }; - - /** - * @summary Specify position of point 3 in terms of either distance or arc - * length. - * @param {bool} arcmode boolean flag determining the meaning of the second - * parameter; if arcmode is false, then the GeodesicLine object must have - * been constructed with caps |= DISTANCE_IN. - * @param {number} s13_a13 if arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - */ - l.GeodesicLine.prototype.GenSetDistance = function(arcmode, s13_a13) { - if (arcmode) - this.SetArc(s13_a13); - else - this.SetDistance(s13_a13); - }; - - /** - * @summary Specify position of point 3 in terms distance. - * @param {number} s13 the distance from point 1 to point 3 (meters); it - * can be negative. - */ - l.GeodesicLine.prototype.SetDistance = function(s13) { - var r; - this.s13 = s13; - r = this.GenPosition(false, this.s13, g.ARC); - this.a13 = 0 + r.a12; // the 0+ converts undefined into NaN - }; - - /** - * @summary Specify position of point 3 in terms of arc length. - * @param {number} a13 the arc length from point 1 to point 3 (degrees); - * it can be negative. - */ - l.GeodesicLine.prototype.SetArc = function(a13) { - var r; - this.a13 = a13; - r = this.GenPosition(true, this.a13, g.DISTANCE); - this.s13 = 0 + r.s12; // the 0+ converts undefined into NaN - }; - -})(GeographicLib.Geodesic, GeographicLib.GeodesicLine, GeographicLib.Math); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/Math.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/Math.js deleted file mode 100644 index 2d625ed93c01caf6993cdb776db8f8bd77167a6f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/Math.js +++ /dev/null @@ -1,451 +0,0 @@ -/* - * Math.js - * Transcription of Math.hpp, Constants.hpp, and Accumulator.hpp into - * JavaScript. - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -/** - * @namespace GeographicLib - * @description The parent namespace for the following modules: - * - {@link module:GeographicLib/Geodesic GeographicLib/Geodesic} The main - * engine for solving geodesic problems via the - * {@link module:GeographicLib/Geodesic.Geodesic Geodesic} class. - * - {@link module:GeographicLib/GeodesicLine GeographicLib/GeodesicLine} - * computes points along a single geodesic line via the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} - * class. - * - {@link module:GeographicLib/PolygonArea GeographicLib/PolygonArea} - * computes the area of a geodesic polygon via the - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} - * class. - * - {@link module:GeographicLib/DMS GeographicLib/DMS} handles the decoding - * and encoding of angles in degree, minutes, and seconds, via static - * functions in this module. - * - {@link module:GeographicLib/Constants GeographicLib/Constants} defines - * constants specifying the version numbers and the parameters for the WGS84 - * ellipsoid. - * - * The following modules are used internally by the package: - * - {@link module:GeographicLib/Math GeographicLib/Math} defines various - * mathematical functions. - * - {@link module:GeographicLib/Accumulator GeographicLib/Accumulator} - * interally used by - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} (via the - * {@link module:GeographicLib/Accumulator.Accumulator Accumulator} class) - * for summing the contributions to the area of a polygon. - */ -"use strict"; -var GeographicLib = {}; -GeographicLib.Constants = {}; -GeographicLib.Math = {}; -GeographicLib.Accumulator = {}; - -(function( - /** - * @exports GeographicLib/Constants - * @description Define constants defining the version and WGS84 parameters. - */ - c) { - - /** - * @constant - * @summary WGS84 parameters. - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - */ - c.WGS84 = { a: 6378137, f: 1/298.257223563 }; - /** - * @constant - * @summary an array of version numbers. - * @property {number} major the major version number. - * @property {number} minor the minor version number. - * @property {number} patch the patch number. - */ - c.version = { major: 1, minor: 50, patch: 0 }; - /** - * @constant - * @summary version string - */ - c.version_string = "1.50"; -})(GeographicLib.Constants); - -(function( - /** - * @exports GeographicLib/Math - * @description Some useful mathematical constants and functions (mainly for - * internal use). - */ - m) { - - /** - * @summary The number of digits of precision in floating-point numbers. - * @constant {number} - */ - m.digits = 53; - /** - * @summary The machine epsilon. - * @constant {number} - */ - m.epsilon = Math.pow(0.5, m.digits - 1); - /** - * @summary The factor to convert degrees to radians. - * @constant {number} - */ - m.degree = Math.PI/180; - - /** - * @summary Square a number. - * @param {number} x the number. - * @returns {number} the square. - */ - m.sq = function(x) { return x * x; }; - - /** - * @summary The hypotenuse function. - * @param {number} x the first side. - * @param {number} y the second side. - * @returns {number} the hypotenuse. - */ - m.hypot = Math.hypot || function(x, y) { - var a, b; - x = Math.abs(x); - y = Math.abs(y); - a = Math.max(x, y); b = Math.min(x, y) / (a ? a : 1); - return a * Math.sqrt(1 + b * b); - }; - - /** - * @summary Cube root function. - * @param {number} x the argument. - * @returns {number} the real cube root. - */ - m.cbrt = Math.cbrt || function(x) { - var y = Math.pow(Math.abs(x), 1/3); - return x > 0 ? y : (x < 0 ? -y : x); - }; - - /** - * @summary The log1p function. - * @param {number} x the argument. - * @returns {number} log(1 + x). - */ - m.log1p = Math.log1p || function(x) { - var y = 1 + x, - z = y - 1; - // Here's the explanation for this magic: y = 1 + z, exactly, and z - // approx x, thus log(y)/z (which is nearly constant near z = 0) returns - // a good approximation to the true log(1 + x)/x. The multiplication x * - // (log(y)/z) introduces little additional error. - return z === 0 ? x : x * Math.log(y) / z; - }; - - /** - * @summary Inverse hyperbolic tangent. - * @param {number} x the argument. - * @returns {number} tanh−1 x. - */ - m.atanh = Math.atanh || function(x) { - var y = Math.abs(x); // Enforce odd parity - y = m.log1p(2 * y/(1 - y))/2; - return x > 0 ? y : (x < 0 ? -y : x); - }; - - /** - * @summary Copy the sign. - * @param {number} x gives the magitude of the result. - * @param {number} y gives the sign of the result. - * @returns {number} value with the magnitude of x and with the sign of y. - */ - m.copysign = function(x, y) { - return Math.abs(x) * (y < 0 || (y === 0 && 1/y < 0) ? -1 : 1); - }; - - /** - * @summary An error-free sum. - * @param {number} u - * @param {number} v - * @returns {object} sum with sum.s = round(u + v) and sum.t is u + v − - * round(u + v) - */ - m.sum = function(u, v) { - var s = u + v, - up = s - v, - vpp = s - up, - t; - up -= u; - vpp -= v; - t = -(up + vpp); - // u + v = s + t - // = round(u + v) + t - return {s: s, t: t}; - }; - - /** - * @summary Evaluate a polynomial. - * @param {integer} N the order of the polynomial. - * @param {array} p the coefficient array (of size N + 1) (leading - * order coefficient first) - * @param {number} x the variable. - * @returns {number} the value of the polynomial. - */ - m.polyval = function(N, p, s, x) { - var y = N < 0 ? 0 : p[s++]; - while (--N >= 0) y = y * x + p[s++]; - return y; - }; - - /** - * @summary Coarsen a value close to zero. - * @param {number} x - * @returns {number} the coarsened value. - */ - m.AngRound = function(x) { - // The makes the smallest gap in x = 1/16 - nextafter(1/16, 0) = 1/2^57 for - // reals = 0.7 pm on the earth if x is an angle in degrees. (This is about - // 1000 times more resolution than we get with angles around 90 degrees.) - // We use this to avoid having to deal with near singular cases when x is - // non-zero but tiny (e.g., 1.0e-200). This converts -0 to +0; however - // tiny negative numbers get converted to -0. - if (x === 0) return x; - var z = 1/16, - y = Math.abs(x); - // The compiler mustn't "simplify" z - (z - y) to y - y = y < z ? z - (z - y) : y; - return x < 0 ? -y : y; - }; - - /** - * @summary The remainder function. - * @param {number} x the numerator of the division - * @param {number} y the denominator of the division - * @return {number} the remainder in the range [−y/2, y/2]. - *

- * The range of x is unrestricted; y must be positive. - */ - m.remainder = function(x, y) { - x = x % y; - return x < -y/2 ? x + y : (x < y/2 ? x : x - y); - }; - - /** - * @summary Normalize an angle. - * @param {number} x the angle in degrees. - * @returns {number} the angle reduced to the range (−180°, - * 180°]. - */ - m.AngNormalize = function(x) { - // Place angle in (-180, 180]. - x = m.remainder(x, 360); - return x == -180 ? 180 : x; - }; - - /** - * @summary Normalize a latitude. - * @param {number} x the angle in degrees. - * @returns {number} x if it is in the range [−90°, 90°], - * otherwise return NaN. - */ - m.LatFix = function(x) { - // Replace angle with NaN if outside [-90, 90]. - return Math.abs(x) > 90 ? Number.NaN : x; - }; - - /** - * @summary The exact difference of two angles reduced to (−180°, - * 180°] - * @param {number} x the first angle in degrees. - * @param {number} y the second angle in degrees. - * @return {object} diff the exact difference, y − x. - * - * This computes z = y − x exactly, reduced to (−180°, - * 180°]; and then sets diff.s = d = round(z) and diff.t = e = z − - * round(z). If d = −180, then e > 0; If d = 180, then e ≤ 0. - */ - m.AngDiff = function(x, y) { - // Compute y - x and reduce to [-180,180] accurately. - var r = m.sum(m.AngNormalize(-x), m.AngNormalize(y)), - d = m.AngNormalize(r.s), - t = r.t; - return m.sum(d === 180 && t > 0 ? -180 : d, t); - }; - - /** - * @summary Evaluate the sine and cosine function with the argument in - * degrees - * @param {number} x in degrees. - * @returns {object} r with r.s = sin(x) and r.c = cos(x). - */ - m.sincosd = function(x) { - // In order to minimize round-off errors, this function exactly reduces - // the argument to the range [-45, 45] before converting it to radians. - var r, q, s, c, sinx, cosx; - r = x % 360; - q = 0 + Math.round(r / 90); // If r is NaN this returns NaN - r -= 90 * q; - // now abs(r) <= 45 - r *= this.degree; - // Possibly could call the gnu extension sincos - s = Math.sin(r); c = Math.cos(r); - switch (q & 3) { - case 0: sinx = s; cosx = c; break; - case 1: sinx = c; cosx = -s; break; - case 2: sinx = -s; cosx = -c; break; - default: sinx = -c; cosx = s; break; // case 3 - } - if (x !== 0) { sinx += 0; cosx += 0; } - return {s: sinx, c: cosx}; - }; - - /** - * @summary Evaluate the atan2 function with the result in degrees - * @param {number} y - * @param {number} x - * @returns atan2(y, x) in degrees, in the range (−180° - * 180°]. - */ - m.atan2d = function(y, x) { - // In order to minimize round-off errors, this function rearranges the - // arguments so that result of atan2 is in the range [-pi/4, pi/4] before - // converting it to degrees and mapping the result to the correct - // quadrant. - var q = 0, t, ang; - if (Math.abs(y) > Math.abs(x)) { t = x; x = y; y = t; q = 2; } - if (x < 0) { x = -x; ++q; } - // here x >= 0 and x >= abs(y), so angle is in [-pi/4, pi/4] - ang = Math.atan2(y, x) / this.degree; - switch (q) { - // Note that atan2d(-0.0, 1.0) will return -0. However, we expect that - // atan2d will not be called with y = -0. If need be, include - // - // case 0: ang = 0 + ang; break; - // - // and handle mpfr as in AngRound. - case 1: ang = (y >= 0 ? 180 : -180) - ang; break; - case 2: ang = 90 - ang; break; - case 3: ang = -90 + ang; break; - } - return ang; - }; -})(GeographicLib.Math); - -(function( - /** - * @exports GeographicLib/Accumulator - * @description Accurate summation via the - * {@link module:GeographicLib/Accumulator.Accumulator Accumulator} class - * (mainly for internal use). - */ - a, m) { - - /** - * @class - * @summary Accurate summation of many numbers. - * @classdesc This allows many numbers to be added together with twice the - * normal precision. In the documentation of the member functions, sum - * stands for the value currently held in the accumulator. - * @param {number | Accumulator} [y = 0] set sum = y. - */ - a.Accumulator = function(y) { - this.Set(y); - }; - - /** - * @summary Set the accumulator to a number. - * @param {number | Accumulator} [y = 0] set sum = y. - */ - a.Accumulator.prototype.Set = function(y) { - if (!y) y = 0; - if (y.constructor === a.Accumulator) { - this._s = y._s; - this._t = y._t; - } else { - this._s = y; - this._t = 0; - } - }; - - /** - * @summary Add a number to the accumulator. - * @param {number} [y = 0] set sum += y. - */ - a.Accumulator.prototype.Add = function(y) { - // Here's Shewchuk's solution... - // Accumulate starting at least significant end - var u = m.sum(y, this._t), - v = m.sum(u.s, this._s); - u = u.t; - this._s = v.s; - this._t = v.t; - // Start is _s, _t decreasing and non-adjacent. Sum is now (s + t + u) - // exactly with s, t, u non-adjacent and in decreasing order (except - // for possible zeros). The following code tries to normalize the - // result. Ideally, we want _s = round(s+t+u) and _u = round(s+t+u - - // _s). The follow does an approximate job (and maintains the - // decreasing non-adjacent property). Here are two "failures" using - // 3-bit floats: - // - // Case 1: _s is not equal to round(s+t+u) -- off by 1 ulp - // [12, -1] - 8 -> [4, 0, -1] -> [4, -1] = 3 should be [3, 0] = 3 - // - // Case 2: _s+_t is not as close to s+t+u as it shold be - // [64, 5] + 4 -> [64, 8, 1] -> [64, 8] = 72 (off by 1) - // should be [80, -7] = 73 (exact) - // - // "Fixing" these problems is probably not worth the expense. The - // representation inevitably leads to small errors in the accumulated - // values. The additional errors illustrated here amount to 1 ulp of - // the less significant word during each addition to the Accumulator - // and an additional possible error of 1 ulp in the reported sum. - // - // Incidentally, the "ideal" representation described above is not - // canonical, because _s = round(_s + _t) may not be true. For - // example, with 3-bit floats: - // - // [128, 16] + 1 -> [160, -16] -- 160 = round(145). - // But [160, 0] - 16 -> [128, 16] -- 128 = round(144). - // - if (this._s === 0) // This implies t == 0, - this._s = u; // so result is u - else - this._t += u; // otherwise just accumulate u to t. - }; - - /** - * @summary Return the result of adding a number to sum (but - * don't change sum). - * @param {number} [y = 0] the number to be added to the sum. - * @return sum + y. - */ - a.Accumulator.prototype.Sum = function(y) { - var b; - if (!y) - return this._s; - else { - b = new a.Accumulator(this); - b.Add(y); - return b._s; - } - }; - - /** - * @summary Set sum = −sum. - */ - a.Accumulator.prototype.Negate = function() { - this._s *= -1; - this._t *= -1; - }; - - /** - * @summary Take the remainder - * @param {number} y the divisor of the remainder operation. - * @return sum in range [−y/2, y/2]. - */ - a.Accumulator.prototype.Remainder = function(y) { - this._s = m.remainder(this._s, y); - this.Add(0); - }; -})(GeographicLib.Accumulator, GeographicLib.Math); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/PolygonArea.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/PolygonArea.js deleted file mode 100644 index 9f9dbdff50d0dcde71db07947146da4495fb7e7d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/src/PolygonArea.js +++ /dev/null @@ -1,321 +0,0 @@ -/* - * PolygonArea.js - * Transcription of PolygonArea.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER GeographicLib/Math.js and GeographicLib/Geodesic.js - -(function( - /** - * @exports GeographicLib/PolygonArea - * @description Compute the area of geodesic polygons via the - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} - * class. - */ - p, g, m, a) { - - var transit, transitdirect, AreaReduceA, AreaReduceB; - transit = function(lon1, lon2) { - // Return 1 or -1 if crossing prime meridian in east or west direction. - // Otherwise return zero. - var lon12, cross; - // Compute lon12 the same way as Geodesic::Inverse. - lon1 = m.AngNormalize(lon1); - lon2 = m.AngNormalize(lon2); - lon12 = m.AngDiff(lon1, lon2).s; - cross = lon1 <= 0 && lon2 > 0 && lon12 > 0 ? 1 : - (lon2 <= 0 && lon1 > 0 && lon12 < 0 ? -1 : 0); - return cross; - }; - - // an alternate version of transit to deal with longitudes in the direct - // problem. - transitdirect = function(lon1, lon2) { - // We want to compute exactly - // int(ceil(lon2 / 360)) - int(ceil(lon1 / 360)) - // Since we only need the parity of the result we can use std::remquo but - // this is buggy with g++ 4.8.3 and requires C++11. So instead we do - lon1 = lon1 % 720.0; lon2 = lon2 % 720.0; - return ( ((lon2 <= 0 && lon2 > -360) || lon2 > 360 ? 1 : 0) - - ((lon1 <= 0 && lon1 > -360) || lon1 > 360 ? 1 : 0) ); - }; - - // Reduce Accumulator area - AreaReduceA = function(area, area0, crossings, reverse, sign) { - area.Remainder(area0); - if (crossings & 1) - area.Add( (area.Sum() < 0 ? 1 : -1) * area0/2 ); - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area.Negate(); - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area.Sum() > area0/2) - area.Add( -area0 ); - else if (area.Sum() <= -area0/2) - area.Add( +area0 ); - } else { - if (area.Sum() >= area0) - area.Add( -area0 ); - else if (area.Sum() < 0) - area.Add( +area0 ); - } - return 0 + area.Sum(); - }; - - // Reduce double area - AreaReduceB = function(area, area0, crossings, reverse, sign) { - area = m.remainder(area, area0); - if (crossings & 1) - area += (area < 0 ? 1 : -1) * area0/2; - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area *= -1; - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area > area0/2) - area -= area0; - else if (area <= -area0/2) - area += area0; - } else { - if (area >= area0) - area -= area0; - else if (area < 0) - area += area0; - } - return 0 + area; - }; - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @property {bool} polyline whether the PolygonArea object describes a - * polyline or a polygon. - * @property {number} num the number of vertices so far. - * @property {number} lat the current latitude (degrees). - * @property {number} lon the current longitude (degrees). - * @summary Initialize a PolygonArea object. - * @classdesc Computes the area and perimeter of a geodesic polygon. - * This object is usually instantiated by - * {@link module:GeographicLib/Geodesic.Geodesic#Polygon Geodesic.Polygon}. - * @param {object} geod a {@link module:GeographicLib/Geodesic.Geodesic - * Geodesic} object. - * @param {bool} [polyline = false] if true the new PolygonArea object - * describes a polyline instead of a polygon. - */ - p.PolygonArea = function(geod, polyline) { - this._geod = geod; - this.a = this._geod.a; - this.f = this._geod.f; - this._area0 = 4 * Math.PI * geod._c2; - this.polyline = !polyline ? false : polyline; - this._mask = g.LATITUDE | g.LONGITUDE | g.DISTANCE | - (this.polyline ? g.NONE : g.AREA | g.LONG_UNROLL); - if (!this.polyline) - this._areasum = new a.Accumulator(0); - this._perimetersum = new a.Accumulator(0); - this.Clear(); - }; - - /** - * @summary Clear the PolygonArea object, setting the number of vertices to - * 0. - */ - p.PolygonArea.prototype.Clear = function() { - this.num = 0; - this._crossings = 0; - if (!this.polyline) - this._areasum.Set(0); - this._perimetersum.Set(0); - this._lat0 = this._lon0 = this.lat = this.lon = Number.NaN; - }; - - /** - * @summary Add the next vertex to the polygon. - * @param {number} lat the latitude of the point (degrees). - * @param {number} lon the longitude of the point (degrees). - * @description This adds an edge from the current vertex to the new vertex. - */ - p.PolygonArea.prototype.AddPoint = function(lat, lon) { - var t; - if (this.num === 0) { - this._lat0 = this.lat = lat; - this._lon0 = this.lon = lon; - } else { - t = this._geod.Inverse(this.lat, this.lon, lat, lon, this._mask); - this._perimetersum.Add(t.s12); - if (!this.polyline) { - this._areasum.Add(t.S12); - this._crossings += transit(this.lon, lon); - } - this.lat = lat; - this.lon = lon; - } - ++this.num; - }; - - /** - * @summary Add the next edge to the polygon. - * @param {number} azi the azimuth at the current the point (degrees). - * @param {number} s the length of the edge (meters). - * @description This specifies the new vertex in terms of the edge from the - * current vertex. - */ - p.PolygonArea.prototype.AddEdge = function(azi, s) { - var t; - if (this.num) { - t = this._geod.Direct(this.lat, this.lon, azi, s, this._mask); - this._perimetersum.Add(s); - if (!this.polyline) { - this._areasum.Add(t.S12); - this._crossings += transitdirect(this.lon, t.lon2); - } - this.lat = t.lat2; - this.lon = t.lon2; - } - ++this.num; - }; - - /** - * @summary Compute the perimeter and area of the polygon. - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description Arbitrarily complex polygons are allowed. In the case of - * self-intersecting polygons the area is accumulated "algebraically", - * e.g., the areas of the 2 loops in a figure-8 polygon will partially - * cancel. If the object is a polygon (and not a polyline), the perimeter - * includes the length of a final edge connecting the current point to the - * initial point. If the object is a polyline, then area is nan. More - * points can be added to the polygon after this call. - */ - p.PolygonArea.prototype.Compute = function(reverse, sign) { - var vals = {number: this.num}, t, tempsum; - if (this.num < 2) { - vals.perimeter = 0; - if (!this.polyline) - vals.area = 0; - return vals; - } - if (this.polyline) { - vals.perimeter = this._perimetersum.Sum(); - return vals; - } - t = this._geod.Inverse(this.lat, this.lon, this._lat0, this._lon0, - this._mask); - vals.perimeter = this._perimetersum.Sum(t.s12); - tempsum = new a.Accumulator(this._areasum); - tempsum.Add(t.S12); - vals.area = AreaReduceA(tempsum, this._area0, - this._crossings + transit(this.lon, this._lon0), - reverse, sign); - return vals; - }; - - /** - * @summary Compute the perimeter and area of the polygon with a tentative - * new vertex. - * @param {number} lat the latitude of the point (degrees). - * @param {number} lon the longitude of the point (degrees). - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description A new vertex is *not* added to the polygon. - */ - p.PolygonArea.prototype.TestPoint = function(lat, lon, reverse, sign) { - var vals = {number: this.num + 1}, t, tempsum, crossings, i; - if (this.num === 0) { - vals.perimeter = 0; - if (!this.polyline) - vals.area = 0; - return vals; - } - vals.perimeter = this._perimetersum.Sum(); - tempsum = this.polyline ? 0 : this._areasum.Sum(); - crossings = this._crossings; - for (i = 0; i < (this.polyline ? 1 : 2); ++i) { - t = this._geod.Inverse( - i === 0 ? this.lat : lat, i === 0 ? this.lon : lon, - i !== 0 ? this._lat0 : lat, i !== 0 ? this._lon0 : lon, - this._mask); - vals.perimeter += t.s12; - if (!this.polyline) { - tempsum += t.S12; - crossings += transit(i === 0 ? this.lon : lon, - i !== 0 ? this._lon0 : lon); - } - } - - if (this.polyline) - return vals; - - vals.area = AreaReduceB(tempsum, this._area0, crossings, reverse, sign); - return vals; - }; - - /** - * @summary Compute the perimeter and area of the polygon with a tentative - * new edge. - * @param {number} azi the azimuth of the edge (degrees). - * @param {number} s the length of the edge (meters). - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description A new vertex is *not* added to the polygon. - */ - p.PolygonArea.prototype.TestEdge = function(azi, s, reverse, sign) { - var vals = {number: this.num ? this.num + 1 : 0}, t, tempsum, crossings; - if (this.num === 0) - return vals; - vals.perimeter = this._perimetersum.Sum() + s; - if (this.polyline) - return vals; - - tempsum = this._areasum.Sum(); - crossings = this._crossings; - t = this._geod.Direct(this.lat, this.lon, azi, s, this._mask); - tempsum += t.S12; - crossings += transitdirect(this.lon, t.lon2); - crossings += transit(t.lon2, this._lon0); - t = this._geod.Inverse(t.lat2, t.lon2, this._lat0, this._lon0, this._mask); - vals.perimeter += t.s12; - tempsum += t.S12; - - vals.area = AreaReduceB(tempsum, this._area0, crossings, reverse, sign); - return vals; - }; - -})(GeographicLib.PolygonArea, GeographicLib.Geodesic, - GeographicLib.Math, GeographicLib.Accumulator); diff --git a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/test/geodesictest.js b/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/test/geodesictest.js deleted file mode 100644 index 3329e7c1a9f624aa6e6cd885588715ce399d0d25..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/js/geographiclib/test/geodesictest.js +++ /dev/null @@ -1,869 +0,0 @@ -"use strict"; - -var assert = require("assert"), - G = require("../geographiclib"), - g = G.Geodesic, - d = G.DMS, - m = G.Math, - testcases = [ - [35.60777, -139.44815, 111.098748429560326, - -11.17491, -69.95921, 129.289270889708762, - 8935244.5604818305, 80.50729714281974, 6273170.2055303837, - 0.16606318447386067, 0.16479116945612937, 12841384694976.432], - [55.52454, 106.05087, 22.020059880982801, - 77.03196, 197.18234, 109.112041110671519, - 4105086.1713924406, 36.892740690445894, 3828869.3344387607, - 0.80076349608092607, 0.80101006984201008, 61674961290615.615], - [-21.97856, 142.59065, -32.44456876433189, - 41.84138, 98.56635, -41.84359951440466, - 8394328.894657671, 75.62930491011522, 6161154.5773110616, - 0.24816339233950381, 0.24930251203627892, -6637997720646.717], - [-66.99028, 112.2363, 173.73491240878403, - -12.70631, 285.90344, 2.512956620913668, - 11150344.2312080241, 100.278634181155759, 6289939.5670446687, - -0.17199490274700385, -0.17722569526345708, -121287239862139.744], - [-17.42761, 173.34268, -159.033557661192928, - -15.84784, 5.93557, -20.787484651536988, - 16076603.1631180673, 144.640108810286253, 3732902.1583877189, - -0.81273638700070476, -0.81299800519154474, 97825992354058.708], - [32.84994, 48.28919, 150.492927788121982, - -56.28556, 202.29132, 48.113449399816759, - 16727068.9438164461, 150.565799985466607, 3147838.1910180939, - -0.87334918086923126, -0.86505036767110637, -72445258525585.010], - [6.96833, 52.74123, 92.581585386317712, - -7.39675, 206.17291, 90.721692165923907, - 17102477.2496958388, 154.147366239113561, 2772035.6169917581, - -0.89991282520302447, -0.89986892177110739, -1311796973197.995], - [-50.56724, -16.30485, -105.439679907590164, - -33.56571, -94.97412, -47.348547835650331, - 6455670.5118668696, 58.083719495371259, 5409150.7979815838, - 0.53053508035997263, 0.52988722644436602, 41071447902810.047], - [-58.93002, -8.90775, 140.965397902500679, - -8.91104, 133.13503, 19.255429433416599, - 11756066.0219864627, 105.755691241406877, 6151101.2270708536, - -0.26548622269867183, -0.27068483874510741, -86143460552774.735], - [-68.82867, -74.28391, 93.774347763114881, - -50.63005, -8.36685, 34.65564085411343, - 3956936.926063544, 35.572254987389284, 3708890.9544062657, - 0.81443963736383502, 0.81420859815358342, -41845309450093.787], - [-10.62672, -32.0898, -86.426713286747751, - 5.883, -134.31681, -80.473780971034875, - 11470869.3864563009, 103.387395634504061, 6184411.6622659713, - -0.23138683500430237, -0.23155097622286792, 4198803992123.548], - [-21.76221, 166.90563, 29.319421206936428, - 48.72884, 213.97627, 43.508671946410168, - 9098627.3986554915, 81.963476716121964, 6299240.9166992283, - 0.13965943368590333, 0.14152969707656796, 10024709850277.476], - [-19.79938, -174.47484, 71.167275780171533, - -11.99349, -154.35109, 65.589099775199228, - 2319004.8601169389, 20.896611684802389, 2267960.8703918325, - 0.93427001867125849, 0.93424887135032789, -3935477535005.785], - [-11.95887, -116.94513, 92.712619830452549, - 4.57352, 7.16501, 78.64960934409585, - 13834722.5801401374, 124.688684161089762, 5228093.177931598, - -0.56879356755666463, -0.56918731952397221, -9919582785894.853], - [-87.85331, 85.66836, -65.120313040242748, - 66.48646, 16.09921, -4.888658719272296, - 17286615.3147144645, 155.58592449699137, 2635887.4729110181, - -0.90697975771398578, -0.91095608883042767, 42667211366919.534], - [1.74708, 128.32011, -101.584843631173858, - -11.16617, 11.87109, -86.325793296437476, - 12942901.1241347408, 116.650512484301857, 5682744.8413270572, - -0.44857868222697644, -0.44824490340007729, 10763055294345.653], - [-25.72959, -144.90758, -153.647468693117198, - -57.70581, -269.17879, -48.343983158876487, - 9413446.7452453107, 84.664533838404295, 6356176.6898881281, - 0.09492245755254703, 0.09737058264766572, 74515122850712.444], - [-41.22777, 122.32875, 14.285113402275739, - -7.57291, 130.37946, 10.805303085187369, - 3812686.035106021, 34.34330804743883, 3588703.8812128856, - 0.82605222593217889, 0.82572158200920196, -2456961531057.857], - [11.01307, 138.25278, 79.43682622782374, - 6.62726, 247.05981, 103.708090215522657, - 11911190.819018408, 107.341669954114577, 6070904.722786735, - -0.29767608923657404, -0.29785143390252321, 17121631423099.696], - [-29.47124, 95.14681, -163.779130441688382, - -27.46601, -69.15955, -15.909335945554969, - 13487015.8381145492, 121.294026715742277, 5481428.9945736388, - -0.51527225545373252, -0.51556587964721788, 104679964020340.318]]; - -assert.approx = function(x, y, d) { - assert(Math.abs(x-y) <= d, x + " = " + y + " +/- " + d); -}; - -describe("GeographicLib", function() { - describe("GeodesicTest", function () { - var geod = g.WGS84, i, - check_geod_inverse, check_geod_direct, check_geod_arcdirect; - - check_geod_inverse = function(l) { - var lat1 = l[0], lon1 = l[1], azi1 = l[2], - lat2 = l[3], lon2 = l[4], azi2 = l[5], - s12 = l[6], a12 = l[7], m12 = l[8], - M12 = l[9], M21 = l[10], S12 = l[11], - inv = geod.Inverse(lat1, lon1, lat2, G.Math.AngNormalize(lon2), - g.ALL | g.LONG_UNROLL); - assert.approx(lon2, inv.lon2, 1e-13); - assert.approx(azi1, inv.azi1, 1e-13); - assert.approx(azi2, inv.azi2, 1e-13); - assert.approx(s12, inv.s12, 1e-8); - assert.approx(a12, inv.a12, 1e-13); - assert.approx(m12, inv.m12, 1e-8); - assert.approx(M12, inv.M12, 1e-15); - assert.approx(M21, inv.M21, 1e-15); - assert.approx(S12, inv.S12, 0.1); - }; - - check_geod_direct = function(l) { - var lat1 = l[0], lon1 = l[1], azi1 = l[2], - lat2 = l[3], lon2 = l[4], azi2 = l[5], - s12 = l[6], a12 = l[7], m12 = l[8], - M12 = l[9], M21 = l[10], S12 = l[11], - dir = geod.Direct(lat1, lon1, azi1, s12, g.ALL | g.LONG_UNROLL); - assert.approx(lat2, dir.lat2, 1e-13); - assert.approx(lon2, dir.lon2, 1e-13); - assert.approx(azi2, dir.azi2, 1e-13); - assert.approx(a12, dir.a12, 1e-13); - assert.approx(m12, dir.m12, 1e-8); - assert.approx(M12, dir.M12, 1e-15); - assert.approx(M21, dir.M21, 1e-15); - assert.approx(S12, dir.S12, 0.1); - }; - - check_geod_arcdirect = function(l) { - var lat1 = l[0], lon1 = l[1], azi1 = l[2], - lat2 = l[3], lon2 = l[4], azi2 = l[5], - s12 = l[6], a12 = l[7], m12 = l[8], - M12 = l[9], M21 = l[10], S12 = l[11], - dir = geod.ArcDirect(lat1, lon1, azi1, a12, g.ALL | g.LONG_UNROLL); - assert.approx(lat2, dir.lat2, 1e-13); - assert.approx(lon2, dir.lon2, 1e-13); - assert.approx(azi2, dir.azi2, 1e-13); - assert.approx(s12, dir.s12, 1e-8); - assert.approx(m12, dir.m12, 1e-8); - assert.approx(M12, dir.M12, 1e-15); - assert.approx(M21, dir.M21, 1e-15); - assert.approx(S12, dir.S12, 0.1); - }; - - it("check inverse", function () { - for (i = 0; i < testcases.length; ++i) { - check_geod_inverse(testcases[i]); - } - }); - - it("check direct", function () { - for (i = 0; i < testcases.length; ++i) { - check_geod_direct(testcases[i]); - } - }); - - it("check arcdirect", function () { - for (i = 0; i < testcases.length; ++i) { - check_geod_arcdirect(testcases[i]); - } - }); - - }); - - describe("DMSTest", function () { - it("check decode", function () { - assert.deepEqual(d.Decode("E7:33:36"), d.Decode("-7.56W")); - }); - }); - - describe("GeodesicSolve", function () { - it("GeodSolve0", function () { - var geod = g.WGS84, - inv = geod.Inverse(40.6, -73.8, 49.01666667, 2.55); - assert.approx(inv.azi1, 53.47022, 0.5e-5); - assert.approx(inv.azi2, 111.59367, 0.5e-5); - assert.approx(inv.s12, 5853226, 0.5); - }); - - it("GeodSolve1", function() { - var geod = g.WGS84, - dir = geod.Direct(40.63972222, -73.77888889, 53.5, 5850e3); - assert.approx(dir.lat2, 49.01467, 0.5e-5); - assert.approx(dir.lon2, 2.56106, 0.5e-5); - assert.approx(dir.azi2, 111.62947, 0.5e-5); - }); - - it("GeodSolve2", function() { - // Check fix for antipodal prolate bug found 2010-09-04 - var geod = new g.Geodesic(6.4e6, -1/150.0), - inv = geod.Inverse(0.07476, 0, -0.07476, 180); - assert.approx(inv.azi1, 90.00078, 0.5e-5); - assert.approx(inv.azi2, 90.00078, 0.5e-5); - assert.approx(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0.1, 0, -0.1, 180); - assert.approx(inv.azi1, 90.00105, 0.5e-5); - assert.approx(inv.azi2, 90.00105, 0.5e-5); - assert.approx(inv.s12, 20106193, 0.5); - }); - - it("GeodSolve4", function() { - // Check fix for short line bug found 2010-05-21 - var geod = g.WGS84, - inv = geod.Inverse(36.493349428792, 0, 36.49334942879201, 0.0000008); - assert.approx(inv.s12, 0.072, 0.5e-3); - }); - - it("GeodSolve5", function() { - // Check fix for point2=pole bug found 2010-05-03 - var geod = g.WGS84, - dir = geod.Direct(0.01777745589997, 30, 0, 10e6); - assert.approx(dir.lat2, 90, 0.5e-5); - if (dir.lon2 < 0) { - assert.approx(dir.lon2, -150, 0.5e-5); - assert.approx(Math.abs(dir.azi2), 180, 0.5e-5); - } else { - assert.approx(dir.lon2, 30, 0.5e-5); - assert.approx(dir.azi2, 0, 0.5e-5); - } - }); - - it("GeodSolve6", function() { - // Check fix for volatile sbet12a bug found 2011-06-25 (gcc 4.4.4 - // x86 -O3). Found again on 2012-03-27 with tdm-mingw32 (g++ 4.6.1). - var geod = g.WGS84, - inv = geod.Inverse(88.202499451857, 0, - -88.202499451857, 179.981022032992859592); - assert.approx(inv.s12, 20003898.214, 0.5e-3); - inv = geod.Inverse(89.262080389218, 0, - -89.262080389218, 179.992207982775375662); - assert.approx(inv.s12, 20003925.854, 0.5e-3); - inv = geod.Inverse(89.333123580033, 0, - -89.333123580032997687, 179.99295812360148422); - assert.approx(inv.s12, 20003926.881, 0.5e-3); - }); - - it("GeodSolve9", function() { - // Check fix for volatile x bug found 2011-06-25 (gcc 4.4.4 x86 -O3) - var geod = g.WGS84, - inv = geod.Inverse(56.320923501171, 0, - -56.320923501171, 179.664747671772880215); - assert.approx(inv.s12, 19993558.287, 0.5e-3); - }); - - it("GeodSolve10", function() { - // Check fix for adjust tol1_ bug found 2011-06-25 (Visual Studio - // 10 rel + debug) - var geod = g.WGS84, - inv = geod.Inverse(52.784459512564, 0, - -52.784459512563990912, 179.634407464943777557); - assert.approx(inv.s12, 19991596.095, 0.5e-3); - }); - - it("GeodSolve11", function() { - // Check fix for bet2 = -bet1 bug found 2011-06-25 (Visual Studio - // 10 rel + debug) - var geod = g.WGS84, - inv = geod.Inverse(48.522876735459, 0, - -48.52287673545898293, 179.599720456223079643); - assert.approx(inv.s12, 19989144.774, 0.5e-3); - }); - - it("GeodSolve12", function() { - // Check fix for inverse geodesics on extreme prolate/oblate - // ellipsoids Reported 2012-08-29 Stefan Guenther - // ; fixed 2012-10-07 - var geod = new g.Geodesic(89.8, -1.83), - inv = geod.Inverse(0, 0, -10, 160); - assert.approx(inv.azi1, 120.27, 1e-2); - assert.approx(inv.azi2, 105.15, 1e-2); - assert.approx(inv.s12, 266.7, 1e-1); - }); - - it("GeodSolve14", function() { - // Check fix for inverse ignoring lon12 = nan - var geod = g.WGS84, - inv = geod.Inverse(0, 0, 1, NaN); - assert(isNaN(inv.azi1)); - assert(isNaN(inv.azi2)); - assert(isNaN(inv.s12)); - }); - - it("GeodSolve15", function() { - // Initial implementation of Math::eatanhe was wrong for e^2 < 0. This - // checks that this is fixed. - var geod = new g.Geodesic(6.4e6, -1/150.0), - dir = geod.Direct(1, 2, 3, 4, g.AREA); - assert.approx(dir.S12, 23700, 0.5); - }); - - it("GeodSolve17", function() { - // Check fix for LONG_UNROLL bug found on 2015-05-07 - var geod = g.WGS84, - dir = geod.Direct(40, -75, -10, 2e7, g.LONG_UNROLL), - line; - assert.approx(dir.lat2, -39, 1); - assert.approx(dir.lon2, -254, 1); - assert.approx(dir.azi2, -170, 1); - line = geod.Line(40, -75, -10); - dir = line.Position(2e7, g.LONG_UNROLL); - assert.approx(dir.lat2, -39, 1); - assert.approx(dir.lon2, -254, 1); - assert.approx(dir.azi2, -170, 1); - dir = geod.Direct(40, -75, -10, 2e7); - assert.approx(dir.lat2, -39, 1); - assert.approx(dir.lon2, 105, 1); - assert.approx(dir.azi2, -170, 1); - dir = line.Position(2e7); - assert.approx(dir.lat2, -39, 1); - assert.approx(dir.lon2, 105, 1); - assert.approx(dir.azi2, -170, 1); - }); - - it("GeodSolve26", function() { - // Check 0/0 problem with area calculation on sphere 2015-09-08 - var geod = new g.Geodesic(6.4e6, 0), - inv = geod.Inverse(1, 2, 3, 4, g.AREA); - assert.approx(inv.S12, 49911046115.0, 0.5); - }); - - it("GeodSolve28", function() { - // Check for bad placement of assignment of r.a12 with |f| > 0.01 (bug in - // Java implementation fixed on 2015-05-19). - var geod = new g.Geodesic(6.4e6, 0.1), - dir = geod.Direct(1, 2, 10, 5e6); - assert.approx(dir.a12, 48.55570690, 0.5e-8); - }); - - it("GeodSolve29", function() { - // Check longitude unrolling with inverse calculation 2015-09-16 - var geod = g.WGS84, - dir = geod.Inverse(0, 539, 0, 181); - assert.approx(dir.lon1, 179, 1e-10); - assert.approx(dir.lon2, -179, 1e-10); - assert.approx(dir.s12, 222639, 0.5); - dir = geod.Inverse(0, 539, 0, 181, g.LONG_UNROLL); - assert.approx(dir.lon1, 539, 1e-10); - assert.approx(dir.lon2, 541, 1e-10); - assert.approx(dir.s12, 222639, 0.5); - }); - - it("GeodSolve33", function() { - // Check max(-0.0,+0.0) issues 2015-08-22 (triggered by bugs in Octave -- - // sind(-0.0) = +0.0 -- and in some version of Visual Studio -- - // fmod(-0.0, 360.0) = +0.0. - var geod = g.WGS84, - inv = geod.Inverse(0, 0, 0, 179); - assert.approx(inv.azi1, 90.00000, 0.5e-5); - assert.approx(inv.azi2, 90.00000, 0.5e-5); - assert.approx(inv.s12, 19926189, 0.5); - inv = geod.Inverse(0, 0, 0, 179.5); - assert.approx(inv.azi1, 55.96650, 0.5e-5); - assert.approx(inv.azi2, 124.03350, 0.5e-5); - assert.approx(inv.s12, 19980862, 0.5); - inv = geod.Inverse(0, 0, 0, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 20003931, 0.5); - inv = geod.Inverse(0, 0, 1, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 19893357, 0.5); - geod = new g.Geodesic(6.4e6, 0); - inv = geod.Inverse(0, 0, 0, 179); - assert.approx(inv.azi1, 90.00000, 0.5e-5); - assert.approx(inv.azi2, 90.00000, 0.5e-5); - assert.approx(inv.s12, 19994492, 0.5); - inv = geod.Inverse(0, 0, 0, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0, 0, 1, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 19994492, 0.5); - geod = new g.Geodesic(6.4e6, -1/300.0); - inv = geod.Inverse(0, 0, 0, 179); - assert.approx(inv.azi1, 90.00000, 0.5e-5); - assert.approx(inv.azi2, 90.00000, 0.5e-5); - assert.approx(inv.s12, 19994492, 0.5); - inv = geod.Inverse(0, 0, 0, 180); - assert.approx(inv.azi1, 90.00000, 0.5e-5); - assert.approx(inv.azi2, 90.00000, 0.5e-5); - assert.approx(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0, 0, 0.5, 180); - assert.approx(inv.azi1, 33.02493, 0.5e-5); - assert.approx(inv.azi2, 146.97364, 0.5e-5); - assert.approx(inv.s12, 20082617, 0.5); - inv = geod.Inverse(0, 0, 1, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 20027270, 0.5); - }); - - it("GeodSolve55", function() { - // Check fix for nan + point on equator or pole not returning all nans in - // Geodesic::Inverse, found 2015-09-23. - var geod = g.WGS84, - inv = geod.Inverse(NaN, 0, 0, 90); - assert(isNaN(inv.azi1)); - assert(isNaN(inv.azi2)); - assert(isNaN(inv.s12)); - inv = geod.Inverse(NaN, 0, 90, 9); - assert(isNaN(inv.azi1)); - assert(isNaN(inv.azi2)); - assert(isNaN(inv.s12)); - }); - - it("GeodSolve59", function() { - // Check for points close with longitudes close to 180 deg apart. - var geod = g.WGS84, - inv = geod.Inverse(5, 0.00000000000001, 10, 180); - assert.approx(inv.azi1, 0.000000000000035, 1.5e-14); - assert.approx(inv.azi2, 179.99999999999996, 1.5e-14); - assert.approx(inv.s12, 18345191.174332713, 5e-9); - }); - - it("GeodSolve61", function() { - // Make sure small negative azimuths are west-going - var geod = g.WGS84, - dir = geod.Direct(45, 0, -0.000000000000000003, 1e7, - g.LONG_UNROLL), - line; - assert.approx(dir.lat2, 45.30632, 0.5e-5); - assert.approx(dir.lon2, -180, 0.5e-5); - assert.approx(Math.abs(dir.azi2), 180, 0.5e-5); - line = geod.InverseLine(45, 0, 80, -0.000000000000000003); - dir = line.Position(1e7, g.LONG_UNROLL); - assert.approx(dir.lat2, 45.30632, 0.5e-5); - assert.approx(dir.lon2, -180, 0.5e-5); - assert.approx(Math.abs(dir.azi2), 180, 0.5e-5); - }); - - it("GeodSolve65", function() { - // Check for bug in east-going check in GeodesicLine (needed to check for - // sign of 0) and sign error in area calculation due to a bogus override - // of the code for alp12. Found/fixed on 2015-12-19. - var geod = g.WGS84, - line = geod.InverseLine(30, -0.000000000000000001, -31, 180, - g.ALL), - dir = line.Position(1e7, g.ALL | g.LONG_UNROLL); - assert.approx(dir.lat1, 30.00000 , 0.5e-5); - assert.approx(dir.lon1, -0.00000 , 0.5e-5); - assert.approx(Math.abs(dir.azi1), 180.00000, 0.5e-5); - assert.approx(dir.lat2, -60.23169 , 0.5e-5); - assert.approx(dir.lon2, -0.00000 , 0.5e-5); - assert.approx(Math.abs(dir.azi2), 180.00000, 0.5e-5); - assert.approx(dir.s12 , 10000000 , 0.5); - assert.approx(dir.a12 , 90.06544 , 0.5e-5); - assert.approx(dir.m12 , 6363636 , 0.5); - assert.approx(dir.M12 , -0.0012834, 0.5e7); - assert.approx(dir.M21 , 0.0013749 , 0.5e-7); - assert.approx(dir.S12 , 0 , 0.5); - dir = line.Position(2e7, g.ALL | g.LONG_UNROLL); - assert.approx(dir.lat1, 30.00000 , 0.5e-5); - assert.approx(dir.lon1, -0.00000 , 0.5e-5); - assert.approx(Math.abs(dir.azi1), 180.00000, 0.5e-5); - assert.approx(dir.lat2, -30.03547 , 0.5e-5); - assert.approx(dir.lon2, -180.00000, 0.5e-5); - assert.approx(dir.azi2, -0.00000 , 0.5e-5); - assert.approx(dir.s12 , 20000000 , 0.5); - assert.approx(dir.a12 , 179.96459 , 0.5e-5); - assert.approx(dir.m12 , 54342 , 0.5); - assert.approx(dir.M12 , -1.0045592, 0.5e7); - assert.approx(dir.M21 , -0.9954339, 0.5e-7); - assert.approx(dir.S12 , 127516405431022.0, 0.5); - }); - - it("GeodSolve69", function() { - // Check for InverseLine if line is slightly west of S and that s13 is - // correctly set. - var geod = g.WGS84, - line = geod.InverseLine(-5, -0.000000000000002, -10, 180), - dir = line.Position(2e7, g.LONG_UNROLL); - assert.approx(dir.lat2, 4.96445 , 0.5e-5); - assert.approx(dir.lon2, -180.00000, 0.5e-5); - assert.approx(dir.azi2, -0.00000 , 0.5e-5); - dir = line.Position(0.5 * line.s13, g.LONG_UNROLL); - assert.approx(dir.lat2, -87.52461 , 0.5e-5); - assert.approx(dir.lon2, -0.00000 , 0.5e-5); - assert.approx(dir.azi2, -180.00000, 0.5e-5); - }); - - it("GeodSolve71", function() { - // Check that DirectLine sets s13. - var geod = g.WGS84, - line = geod.DirectLine(1, 2, 45, 1e7), - dir = line.Position(0.5 * line.s13, g.LONG_UNROLL); - assert.approx(dir.lat2, 30.92625, 0.5e-5); - assert.approx(dir.lon2, 37.54640, 0.5e-5); - assert.approx(dir.azi2, 55.43104, 0.5e-5); - }); - - it("GeodSolve73", function() { - // Check for backwards from the pole bug reported by Anon on 2016-02-13. - // This only affected the Java implementation. It was introduced in Java - // version 1.44 and fixed in 1.46-SNAPSHOT on 2016-01-17. - // Also the + sign on azi2 is a check on the normalizing of azimuths - // (converting -0.0 to +0.0). - var geod = g.WGS84, - dir = geod.Direct(90, 10, 180, -1e6); - assert.approx(dir.lat2, 81.04623, 0.5e-5); - assert.approx(dir.lon2, -170, 0.5e-5); - assert.approx(dir.azi2, 0, 0.5e-5); - assert.ok(m.copysign(1, dir.azi2) > 0); - }); - - it("GeodSolve74", function() { - // Check fix for inaccurate areas, bug introduced in v1.46, fixed - // 2015-10-16. - var geod = g.WGS84, - inv = geod.Inverse(54.1589, 15.3872, 54.1591, 15.3877, g.ALL); - assert.approx(inv.azi1, 55.723110355, 5e-9); - assert.approx(inv.azi2, 55.723515675, 5e-9); - assert.approx(inv.s12, 39.527686385, 5e-9); - assert.approx(inv.a12, 0.000355495, 5e-9); - assert.approx(inv.m12, 39.527686385, 5e-9); - assert.approx(inv.M12, 0.999999995, 5e-9); - assert.approx(inv.M21, 0.999999995, 5e-9); - assert.approx(inv.S12, 286698586.30197, 5e-4); - }); - - it("GeodSolve76", function() { - // The distance from Wellington and Salamanca (a classic failure of - // Vincenty) - var geod = g.WGS84, - inv = geod.Inverse(-(41+19/60.0), 174+49/60.0, - 40+58/60.0, -(5+30/60.0)); - assert.approx(inv.azi1, 160.39137649664, 0.5e-11); - assert.approx(inv.azi2, 19.50042925176, 0.5e-11); - assert.approx(inv.s12, 19960543.857179, 0.5e-6); - }); - - it("GeodSolve78", function() { - // An example where the NGS calculator fails to converge - var geod = g.WGS84, - inv = geod.Inverse(27.2, 0.0, -27.1, 179.5); - assert.approx(inv.azi1, 45.82468716758, 0.5e-11); - assert.approx(inv.azi2, 134.22776532670, 0.5e-11); - assert.approx(inv.s12, 19974354.765767, 0.5e-6); - }); - - it("GeodSolve80", function() { - // Some tests to add code coverage: computing scale in special cases + - // zero length geodesic (includes GeodSolve80 - GeodSolve83). - var geod = g.WGS84, inv, line, dir; - - inv = geod.Inverse(0, 0, 0, 90, g.GEODESICSCALE); - assert.approx(inv.M12, -0.00528427534, 0.5e-10); - assert.approx(inv.M21, -0.00528427534, 0.5e-10); - - inv = geod.Inverse(0, 0, 1e-6, 1e-6, g.GEODESICSCALE); - assert.approx(inv.M12, 1, 0.5e-10); - assert.approx(inv.M21, 1, 0.5e-10); - - inv = geod.Inverse(20.001, 0, 20.001, 0, g.ALL); - assert.approx(inv.a12, 0, 1e-13); - assert.approx(inv.s12, 0, 1e-8); - assert.approx(inv.azi1, 180, 1e-13); - assert.approx(inv.azi2, 180, 1e-13); - assert.approx(inv.m12, 0, 1e-8); - assert.approx(inv.M12, 1, 1e-15); - assert.approx(inv.M21, 1, 1e-15); - assert.approx(inv.S12, 0, 1e-10); - - inv = geod.Inverse(90, 0, 90, 180, g.ALL); - assert.approx(inv.a12, 0, 1e-13); - assert.approx(inv.s12, 0, 1e-8); - assert.approx(inv.azi1, 0, 1e-13); - assert.approx(inv.azi2, 180, 1e-13); - assert.approx(inv.m12, 0, 1e-8); - assert.approx(inv.M12, 1, 1e-15); - assert.approx(inv.M21, 1, 1e-15); - assert.approx(inv.S12, 127516405431022.0, 0.5); - - // An incapable line which can't take distance as input - line = geod.Line(1, 2, 90, g.LATITUDE); - dir = line.Position(1000, g.NONE); - assert(isNaN(dir.a12)); - }); - - it("GeodSolve84", function() { - // Tests for python implementation to check fix for range errors with - // {fmod,sin,cos}(inf) (includes GeodSolve84 - GeodSolve86). - var geod = g.WGS84, dir; - dir = geod.Direct(0, 0, 90, Infinity); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(0, 0, 90, NaN); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(0, 0, Infinity, 1000); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(0, 0, NaN, 1000); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(0, Infinity, 90, 1000); - assert(dir.lat2 == 0); - assert(isNaN(dir.lon2)); - assert(dir.azi2 == 90); - dir = geod.Direct(0, NaN, 90, 1000); - assert(dir.lat2 == 0); - assert(isNaN(dir.lon2)); - assert(dir.azi2 == 90); - dir = geod.Direct(Infinity, 0, 90, 1000); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(NaN, 0, 90, 1000); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - }); - - }); - - describe("Planimeter", function () { - - var geod = g.WGS84, - polygon = geod.Polygon(false), - polyline = geod.Polygon(true), - Planimeter, PolyLength; - - Planimeter = function(points) { - var i; - polygon.Clear(); - for (i = 0; i < points.length; ++i) { - polygon.AddPoint(points[i][0], points[i][1]); - } - return polygon.Compute(false, true); - }; - - PolyLength = function(points) { - var i; - polyline.Clear(); - for (i = 0; i < points.length; ++i) { - polyline.AddPoint(points[i][0], points[i][1]); - } - return polyline.Compute(false, true); - }; - - it("Planimeter0", function() { - // Check fix for pole-encircling bug found 2011-03-16 - var points, a; - points = [[89, 0], [89, 90], [89, 180], [89, 270]]; - a = Planimeter(points); - assert.approx(a.perimeter, 631819.8745, 1e-4); - assert.approx(a.area, 24952305678.0, 1); - - points = [[-89, 0], [-89, 90], [-89, 180], [-89, 270]]; - a = Planimeter(points); - assert.approx(a.perimeter, 631819.8745, 1e-4); - assert.approx(a.area, -24952305678.0, 1); - - points = [[0, -1], [-1, 0], [0, 1], [1, 0]]; - a = Planimeter(points); - assert.approx(a.perimeter, 627598.2731, 1e-4); - assert.approx(a.area, 24619419146.0, 1); - - points = [[90, 0], [0, 0], [0, 90]]; - a = Planimeter(points); - assert.approx(a.perimeter, 30022685, 1); - assert.approx(a.area, 63758202715511.0, 1); - a = PolyLength(points); - assert.approx(a.perimeter, 20020719, 1); - assert(isNaN(a.area)); - }); - - it("Planimeter5", function() { - // Check fix for Planimeter pole crossing bug found 2011-06-24 - var points, a; - points = [[89, 0.1], [89, 90.1], [89, -179.9]]; - a = Planimeter(points); - assert.approx(a.perimeter, 539297, 1); - assert.approx(a.area, 12476152838.5, 1); - }); - - it("Planimeter6", function() { - // Check fix for Planimeter lon12 rounding bug found 2012-12-03 - var points, a; - points = [[9, -0.00000000000001], [9, 180], [9, 0]]; - a = Planimeter(points); - assert.approx(a.perimeter, 36026861, 1); - assert.approx(a.area, 0, 1); - points = [[9, 0.00000000000001], [9, 0], [9, 180]]; - a = Planimeter(points); - assert.approx(a.perimeter, 36026861, 1); - assert.approx(a.area, 0, 1); - points = [[9, 0.00000000000001], [9, 180], [9, 0]]; - a = Planimeter(points); - assert.approx(a.perimeter, 36026861, 1); - assert.approx(a.area, 0, 1); - points = [[9, -0.00000000000001], [9, 0], [9, 180]]; - a = Planimeter(points); - assert.approx(a.perimeter, 36026861, 1); - assert.approx(a.area, 0, 1); - }); - - it("Planimeter12", function() { - // Area of arctic circle (not really -- adjunct to rhumb-area test) - var points, a; - points = [[66.562222222, 0], [66.562222222, 180]]; - a = Planimeter(points); - assert.approx(a.perimeter, 10465729, 1); - assert.approx(a.area, 0, 1); - }); - - it("Planimeter13", function() { - // Check encircling pole twice - var points, a; - points = [[89,-360], [89,-240], [89,-120], [89,0], [89,120], [89,240]]; - a = Planimeter(points); - assert.approx(a.perimeter, 1160741, 1); - assert.approx(a.area, 32415230256.0, 1); - }); - - it("Planimeter15", function() { - // Coverage tests, includes Planimeter15 - Planimeter18 (combinations of - // reverse and sign) + calls to testpoint, testedge. - var a, lat, lon, r, a0, area, inv; - lat = [2, 1, 3]; lon = [1, 2, 3]; - r = 18454562325.45119; - a0 = 510065621724088.5093; // ellipsoid area - polygon.Clear(); - polygon.AddPoint(lat[0], lon[0]); - polygon.AddPoint(lat[1], lon[1]); - a = polygon.TestPoint(lat[2], lon[2], false, true); - assert.approx(a.area, r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], false, false); - assert.approx(a.area, r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], true, true); - assert.approx(a.area, -r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], true, false); - assert.approx(a.area, a0-r, 0.5); - inv = geod.Inverse(lat[1], lon[1], lat[2], lon[2]); - a = polygon.TestEdge(inv.azi1, inv.s12, false, true); - assert.approx(a.area, r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, false, false); - assert.approx(a.area, r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, true, true); - assert.approx(a.area, -r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, true, false); - assert.approx(a.area, a0-r, 0.5); - polygon.AddPoint(lat[2], lon[2]); - a = polygon.Compute(false, true); - assert.approx(a.area, r, 0.5); - a = polygon.Compute(false, false); - assert.approx(a.area, r, 0.5); - a = polygon.Compute(true, true); - assert.approx(a.area, -r, 0.5); - a = polygon.Compute(true, false); - assert.approx(a.area, a0-r, 0.5); - }); - - it("Planimeter19", function() { - // Coverage tests, includes Planimeter19 - Planimeter20 (degenerate - // polygons) + extra cases. - var a; - polygon.Clear(); - a = polygon.Compute(false, true); - assert(a.area == 0); - assert(a.perimeter == 0); - a = polygon.TestPoint(1, 1, false, true); - assert(a.area == 0); - assert(a.perimeter == 0); - a = polygon.TestEdge(90, 1000, false, true); - assert(isNaN(a.area)); - assert(isNaN(a.perimeter)); - polygon.AddPoint(1, 1); - a = polygon.Compute(false, true); - assert(a.area == 0); - assert(a.perimeter == 0); - polyline.Clear(); - a = polyline.Compute(false, true); - assert(a.perimeter == 0); - a = polyline.TestPoint(1, 1, false, true); - assert(a.perimeter == 0); - a = polyline.TestEdge(90, 1000, false, true); - assert(isNaN(a.perimeter)); - polyline.AddPoint(1, 1); - a = polyline.Compute(false, true); - assert(a.perimeter == 0); - polygon.AddPoint(1, 1); - a = polyline.TestEdge(90, 1000, false, true); - assert.approx(a.perimeter, 1000, 1e-10); - a = polyline.TestPoint(2, 2, false, true); - assert.approx(a.perimeter, 156876.149, 0.5e-3); - }); - - it("Planimeter21", function() { - // Some test to add code coverage: multiple circlings of pole (includes - // Planimeter21 - Planimeter28) + invocations via testpoint and testedge. - var a, lat, azi, s, r, a0, i; - lat = 45; - azi = 39.2144607176828184218; - s = 8420705.40957178156285; - r = 39433884866571.4277; // Area for one circuit - a0 = 510065621724088.5093; // Ellipsoid area - polygon.Clear(); - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - polygon.AddPoint(lat, -60); - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - polygon.AddPoint(lat, -60); - for (i = 3; i <= 4; ++i) { - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - a = polygon.TestPoint(lat, -60, false, true); - assert.approx(a.area, i*r, 0.5); - a = polygon.TestPoint(lat, -60, false, false); - assert.approx(a.area, i*r, 0.5); - a = polygon.TestPoint(lat, -60, true, true); - assert.approx(a.area, -i*r, 0.5); - a = polygon.TestPoint(lat, -60, true, false); - assert.approx(a.area, -i*r + a0, 0.5); - a = polygon.TestEdge(azi, s, false, true); - assert.approx(a.area, i*r, 0.5); - a = polygon.TestEdge(azi, s, false, false); - assert.approx(a.area, i*r, 0.5); - a = polygon.TestEdge(azi, s, true, true); - assert.approx(a.area, -i*r, 0.5); - a = polygon.TestEdge(azi, s, true, false); - assert.approx(a.area, -i*r + a0, 0.5); - polygon.AddPoint(lat, -60); - a = polygon.Compute(false, true); - assert.approx(a.area, i*r, 0.5); - a = polygon.Compute(false, false); - assert.approx(a.area, i*r, 0.5); - a = polygon.Compute(true, true); - assert.approx(a.area, -i*r, 0.5); - a = polygon.Compute(true, false); - assert.approx(a.area, -i*r + a0, 0.5); - } - }); - - it("Planimeter29", function() { - // Check fix to transitdirect vs transit zero handling inconsistency - var a; - polygon.Clear(); - polygon.AddPoint(0, 0); - polygon.AddEdge( 90, 1000); - polygon.AddEdge( 0, 1000); - polygon.AddEdge(-90, 1000); - a = polygon.Compute(false, true); - // The area should be 1e6. Prior to the fix it was 1e6 - A/2, where - // A = ellipsoid area. - assert.approx(a.area, 1000000.0, 0.01); - }); - - it("check TestEdge", function() { - // Check fix of bugs found by threepointone, 2015-10-14 - polygon.Clear(); - polygon.AddPoint(33, 44); - polygon.TestEdge(90, 10e3, false, true); - polygon.AddEdge(90, 10e3, false, true); - }); - - }); -}); diff --git a/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.1 b/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.1 deleted file mode 100644 index 011c1d1877f9932c5d25134f97ba0c3fa218c80e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.1 +++ /dev/null @@ -1,263 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -CartConvert \-\- convert geodetic coordinates to geocentric or local cartesian -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBCartConvert\fR [ \fB\-r\fR ] [ \fB\-l\fR \fIlat0\fR \fIlon0\fR \fIh0\fR ] -[ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -Convert geodetic coordinates to either geocentric or local cartesian -coordinates. Geocentric coordinates have the origin at the center of -the earth, with the \fIz\fR axis going thru the north pole, and the \fIx\fR -axis thru \fIlatitude\fR = 0, \fIlongitude\fR = 0. By default, the -conversion is to geocentric coordinates. Specifying \fB\-l\fR \fIlat0\fR -\&\fIlon0\fR \fIh0\fR causes a local coordinate system to be used with the -origin at \fIlatitude\fR = \fIlat0\fR, \fIlongitude\fR = \fIlon0\fR, \fIheight\fR = -\&\fIh0\fR, \fIz\fR normal to the ellipsoid and \fIy\fR due north. -.PP -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) \fIlatitude\fR, \fIlongitude\fR (decimal degrees -or degrees, minutes and seconds), and \fIheight\fR above the ellipsoid -(meters); for details on the allowed formats for latitude and longitude, -see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR section of \fIGeoConvert\fR\|(1). For each -set of geodetic coordinates, the corresponding cartesian coordinates -\&\fIx\fR, \fIy\fR, \fIz\fR (meters) are printed on standard output. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-r\fR" 4 -.IX Item "-r" -perform the reverse projection. \fIx\fR, \fIy\fR, \fIz\fR are given on -standard input and each line of standard output gives \fIlatitude\fR, -\&\fIlongitude\fR, \fIheight\fR. In general there are multiple solutions and -the result which minimizes the absolute value of \fIheight\fR is -returned, i.e., (\fIlatitude\fR, \fIlongitude\fR) corresponds to the closest -point on the ellipsoid. -.IP "\fB\-l\fR \fIlat0\fR \fIlon0\fR \fIh0\fR" 4 -.IX Item "-l lat0 lon0 h0" -specifies conversions to and from a local cartesion coordinate systems -with origin \fIlat0\fR \fIlon0\fR \fIh0\fR, instead of a geocentric coordinate -system. The \fB\-w\fR flag can be used to swap the default order of the 2 -geographic coordinates, provided that it appears before \fB\-l\fR. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 6). \fIprec\fR is the number -of digits after the decimal point for geocentric and local cartesion -coordinates and for the height (in meters). For latitudes and -longitudes (in degrees), the number of digits after the decimal point is -\&\fIprec\fR + 5. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 6 -\& echo 33.3 44.4 6000 | CartConvert -\& => 3816209.60 3737108.55 3485109.57 -\& echo 33.3 44.4 6000 | CartConvert \-l 33 44 20 -\& => 37288.97 33374.29 5783.64 -\& echo 30000 30000 0 | CartConvert \-r -\& => 6.483 45 \-6335709.73 -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBCartConvert\fR to return an exit -code of 1. However, an error does not cause \fBCartConvert\fR to -terminate; following lines will be converted. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -The algorithm for converting geocentric to geodetic coordinates is given -in Appendix B of C. F. F. Karney, \fIGeodesics on an ellipsoid of -revolution\fR, Feb. 2011; preprint . -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBCartConvert\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBCartConvert\fR was added to GeographicLib, -, in 2009\-02. Prior to 2009\-03 it was -called ECEFConvert. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.1.html b/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.1.html deleted file mode 100644 index 2b2af19b668cf755fc453052e30ea768bbbc417e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.1.html +++ /dev/null @@ -1,142 +0,0 @@ - - - - -CartConvert(1) - - - - - - - - -

NAME

- -

CartConvert -- convert geodetic coordinates to geocentric or local cartesian

- -

SYNOPSIS

- -

CartConvert [ -r ] [ -l lat0 lon0 h0 ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Convert geodetic coordinates to either geocentric or local cartesian coordinates. Geocentric coordinates have the origin at the center of the earth, with the z axis going thru the north pole, and the x axis thru latitude = 0, longitude = 0. By default, the conversion is to geocentric coordinates. Specifying -l lat0 lon0 h0 causes a local coordinate system to be used with the origin at latitude = lat0, longitude = lon0, height = h0, z normal to the ellipsoid and y due north.

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude, longitude (decimal degrees or degrees, minutes and seconds), and height above the ellipsoid (meters); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding cartesian coordinates x, y, z (meters) are printed on standard output.

- -

OPTIONS

- -
- -
-r
-
- -

perform the reverse projection. x, y, z are given on standard input and each line of standard output gives latitude, longitude, height. In general there are multiple solutions and the result which minimizes the absolute value of height is returned, i.e., (latitude, longitude) corresponds to the closest point on the ellipsoid.

- -
-
-l lat0 lon0 h0
-
- -

specifies conversions to and from a local cartesion coordinate systems with origin lat0 lon0 h0, instead of a geocentric coordinate system. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -l.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for geocentric and local cartesion coordinates and for the height (in meters). For latitudes and longitudes (in degrees), the number of digits after the decimal point is prec + 5.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 33.3 44.4 6000 | CartConvert
-   => 3816209.60 3737108.55 3485109.57
-   echo 33.3 44.4 6000 | CartConvert -l 33 44 20
-   => 37288.97 33374.29 5783.64
-   echo 30000 30000 0 | CartConvert -r
-   => 6.483 45 -6335709.73
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes CartConvert to return an exit code of 1. However, an error does not cause CartConvert to terminate; following lines will be converted.

- -

SEE ALSO

- -

The algorithm for converting geocentric to geodetic coordinates is given in Appendix B of C. F. F. Karney, Geodesics on an ellipsoid of revolution, Feb. 2011; preprint https://arxiv.org/abs/1102.1215.

- -

AUTHOR

- -

CartConvert was written by Charles Karney.

- -

HISTORY

- -

CartConvert was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-02. Prior to 2009-03 it was called ECEFConvert.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.usage b/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.usage deleted file mode 100644 index 6adc00c2d12d94cc43e40cc19fa411f09c3e7ccb..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/CartConvert.usage +++ /dev/null @@ -1,138 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" CartConvert [ -r ] [ -l lat0 lon0 h0 ] [ -e a f ] [ -w ] [ -p prec ] [\n" -" --comment-delimiter commentdelim ] [ --version | -h | --help ] [\n" -" --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" CartConvert --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/CartConvert.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" CartConvert -- convert geodetic coordinates to geocentric or local\n" -" cartesian\n" -"\n" -"SYNOPSIS\n" -" CartConvert [ -r ] [ -l lat0 lon0 h0 ] [ -e a f ] [ -w ] [ -p prec ] [\n" -" --comment-delimiter commentdelim ] [ --version | -h | --help ] [\n" -" --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" Convert geodetic coordinates to either geocentric or local cartesian\n" -" coordinates. Geocentric coordinates have the origin at the center of\n" -" the earth, with the z axis going thru the north pole, and the x axis\n" -" thru latitude = 0, longitude = 0. By default, the conversion is to\n" -" geocentric coordinates. Specifying -l lat0 lon0 h0 causes a local\n" -" coordinate system to be used with the origin at latitude = lat0,\n" -" longitude = lon0, height = h0, z normal to the ellipsoid and y due\n" -" north.\n" -"\n" -" Geodetic coordinates are provided on standard input as a set of lines\n" -" containing (blank separated) latitude, longitude (decimal degrees or\n" -" degrees, minutes and seconds), and height above the ellipsoid (meters);\n" -" for details on the allowed formats for latitude and longitude, see the\n" -" \"GEOGRAPHIC COORDINATES\" section of GeoConvert(1). For each set of\n" -" geodetic coordinates, the corresponding cartesian coordinates x, y, z\n" -" (meters) are printed on standard output.\n" -"\n" -"OPTIONS\n" -" -r perform the reverse projection. x, y, z are given on standard\n" -" input and each line of standard output gives latitude, longitude,\n" -" height. In general there are multiple solutions and the result\n" -" which minimizes the absolute value of height is returned, i.e.,\n" -" (latitude, longitude) corresponds to the closest point on the\n" -" ellipsoid.\n" -"\n" -" -l lat0 lon0 h0\n" -" specifies conversions to and from a local cartesion coordinate\n" -" systems with origin lat0 lon0 h0, instead of a geocentric\n" -" coordinate system. The -w flag can be used to swap the default\n" -" order of the 2 geographic coordinates, provided that it appears\n" -" before -l.\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 6). prec is the number\n" -" of digits after the decimal point for geocentric and local\n" -" cartesion coordinates and for the height (in meters). For\n" -" latitudes and longitudes (in degrees), the number of digits after\n" -" the decimal point is prec + 5.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"EXAMPLES\n" -" echo 33.3 44.4 6000 | CartConvert\n" -" => 3816209.60 3737108.55 3485109.57\n" -" echo 33.3 44.4 6000 | CartConvert -l 33 44 20\n" -" => 37288.97 33374.29 5783.64\n" -" echo 30000 30000 0 | CartConvert -r\n" -" => 6.483 45 -6335709.73\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes CartConvert to return an exit code\n" -" of 1. However, an error does not cause CartConvert to terminate;\n" -" following lines will be converted.\n" -"\n" -"SEE ALSO\n" -" The algorithm for converting geocentric to geodetic coordinates is\n" -" given in Appendix B of C. F. F. Karney, Geodesics on an ellipsoid of\n" -" revolution, Feb. 2011; preprint .\n" -"\n" -"AUTHOR\n" -" CartConvert was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" CartConvert was added to GeographicLib,\n" -" , in 2009-02. Prior to 2009-03\n" -" it was called ECEFConvert.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.1 b/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.1 deleted file mode 100644 index 777eda69f432157613ac16064ab3dba567ffe29f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.1 +++ /dev/null @@ -1,276 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -ConicProj \-\- perform conic projections -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBConicProj\fR ( \fB\-c\fR | \fB\-a\fR ) \fIlat1\fR \fIlat2\fR -[ \fB\-l\fR \fIlon0\fR ] [ \fB\-k\fR \fIk1\fR ] [ \fB\-r\fR ] -[ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -Perform one of two conic projections geodesics. Convert geodetic -coordinates to either Lambert conformal conic or Albers equal area -coordinates. The standard latitudes \fIlat1\fR and \fIlat2\fR are specified -by that the \fB\-c\fR option (for Lambert conformal conic) or the \fB\-a\fR -option (for Albers equal area). At least one of these options must be -given (the last one given is used). Specify \fIlat1\fR = \fIlat2\fR, to -obtain the case with a single standard parallel. The central meridian -is given by \fIlon0\fR. The longitude of origin is given by the latitude -of minimum (azimuthal) scale for Lambert conformal conic (Albers equal -area). The (azimuthal) scale on the standard parallels is \fIk1\fR. -.PP -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) \fIlatitude\fR and \fIlongitude\fR (decimal -degrees or degrees, minutes, seconds); for details on the allowed -formats for latitude and longitude, see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR -section of \fIGeoConvert\fR\|(1). For each set of geodetic coordinates, the -corresponding projected easting, \fIx\fR, and northing, \fIy\fR, (meters) are -printed on standard output together with the meridian convergence -\&\fIgamma\fR (degrees) and (azimuthal) scale \fIk\fR. For Albers equal area, -the radial scale is 1/\fIk\fR. The meridian convergence is the bearing of -the \fIy\fR axis measured clockwise from true north. -.PP -Special cases of the Lambert conformal projection are the Mercator -projection (the standard latitudes equal and opposite) and the polar -stereographic projection (both standard latitudes correspond to the same -pole). Special cases of the Albers equal area projection are the -cylindrical equal area projection (the standard latitudes equal and -opposite), the Lambert azimuthal equal area projection (both standard -latitude corresponds to the same pole), and the Lambert equal area conic -projection (one standard parallel is at a pole). -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-c\fR \fIlat1\fR \fIlat2\fR" 4 -.IX Item "-c lat1 lat2" -use the Lambert conformal conic projection with standard parallels -\&\fIlat1\fR and \fIlat2\fR. -.IP "\fB\-a\fR \fIlat1\fR \fIlat2\fR" 4 -.IX Item "-a lat1 lat2" -use the Albers equal area projection with standard parallels \fIlat1\fR and -\&\fIlat2\fR. -.IP "\fB\-l\fR \fIlon0\fR" 4 -.IX Item "-l lon0" -specify the longitude of origin \fIlon0\fR (degrees, default 0). -.IP "\fB\-k\fR \fIk1\fR" 4 -.IX Item "-k k1" -specify the (azimuthal) scale \fIk1\fR on the standard parallels (default -1). -.IP "\fB\-r\fR" 4 -.IX Item "-r" -perform the reverse projection. \fIx\fR and \fIy\fR are given on standard -input and each line of standard output gives \fIlatitude\fR, \fIlongitude\fR, -\&\fIgamma\fR, and \fIk\fR. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 6). \fIprec\fR is the number -of digits after the decimal point for lengths (in meters). For -latitudes and longitudes (in degrees), the number of digits after the -decimal point is \fIprec\fR + 5. For the convergence (in degrees) and -scale, the number of digits after the decimal point is \fIprec\fR + 6. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 4 -\& echo 39.95N 75.17W | ConicProj \-c 40d58 39d56 \-l 77d45W -\& => 220445 \-52372 1.67 1.0 -\& echo 220445 \-52372 | ConicProj \-c 40d58 39d56 \-l 77d45W \-r -\& => 39.95 \-75.17 1.67 1.0 -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBConicProj\fR to return an exit -code of 1. However, an error does not cause \fBConicProj\fR to -terminate; following lines will be converted. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBConicProj\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBConicProj\fR was added to GeographicLib, -, in version 1.9. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.1.html b/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.1.html deleted file mode 100644 index 47366a1d9e9b8a3bb76a17eb05a366b1c3334fc5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.1.html +++ /dev/null @@ -1,156 +0,0 @@ - - - - -ConicProj(1) - - - - - - - - -

NAME

- -

ConicProj -- perform conic projections

- -

SYNOPSIS

- -

ConicProj ( -c | -a ) lat1 lat2 [ -l lon0 ] [ -k k1 ] [ -r ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Perform one of two conic projections geodesics. Convert geodetic coordinates to either Lambert conformal conic or Albers equal area coordinates. The standard latitudes lat1 and lat2 are specified by that the -c option (for Lambert conformal conic) or the -a option (for Albers equal area). At least one of these options must be given (the last one given is used). Specify lat1 = lat2, to obtain the case with a single standard parallel. The central meridian is given by lon0. The longitude of origin is given by the latitude of minimum (azimuthal) scale for Lambert conformal conic (Albers equal area). The (azimuthal) scale on the standard parallels is k1.

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude and longitude (decimal degrees or degrees, minutes, seconds); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding projected easting, x, and northing, y, (meters) are printed on standard output together with the meridian convergence gamma (degrees) and (azimuthal) scale k. For Albers equal area, the radial scale is 1/k. The meridian convergence is the bearing of the y axis measured clockwise from true north.

- -

Special cases of the Lambert conformal projection are the Mercator projection (the standard latitudes equal and opposite) and the polar stereographic projection (both standard latitudes correspond to the same pole). Special cases of the Albers equal area projection are the cylindrical equal area projection (the standard latitudes equal and opposite), the Lambert azimuthal equal area projection (both standard latitude corresponds to the same pole), and the Lambert equal area conic projection (one standard parallel is at a pole).

- -

OPTIONS

- -
- -
-c lat1 lat2
-
- -

use the Lambert conformal conic projection with standard parallels lat1 and lat2.

- -
-
-a lat1 lat2
-
- -

use the Albers equal area projection with standard parallels lat1 and lat2.

- -
-
-l lon0
-
- -

specify the longitude of origin lon0 (degrees, default 0).

- -
-
-k k1
-
- -

specify the (azimuthal) scale k1 on the standard parallels (default 1).

- -
-
-r
-
- -

perform the reverse projection. x and y are given on standard input and each line of standard output gives latitude, longitude, gamma, and k.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for lengths (in meters). For latitudes and longitudes (in degrees), the number of digits after the decimal point is prec + 5. For the convergence (in degrees) and scale, the number of digits after the decimal point is prec + 6.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 39.95N 75.17W | ConicProj -c 40d58 39d56 -l 77d45W
-   => 220445 -52372 1.67 1.0
-   echo 220445 -52372 | ConicProj -c 40d58 39d56 -l 77d45W -r
-   => 39.95 -75.17 1.67 1.0
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes ConicProj to return an exit code of 1. However, an error does not cause ConicProj to terminate; following lines will be converted.

- -

AUTHOR

- -

ConicProj was written by Charles Karney.

- -

HISTORY

- -

ConicProj was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.9.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.usage b/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.usage deleted file mode 100644 index 72671438446725309cf9a5827179fb0e6c3fa00c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/ConicProj.usage +++ /dev/null @@ -1,149 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" ConicProj ( -c | -a ) lat1 lat2 [ -l lon0 ] [ -k k1 ] [ -r ] [ -e a f ]\n" -" [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version |\n" -" -h | --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" ConicProj --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/ConicProj.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" ConicProj -- perform conic projections\n" -"\n" -"SYNOPSIS\n" -" ConicProj ( -c | -a ) lat1 lat2 [ -l lon0 ] [ -k k1 ] [ -r ] [ -e a f ]\n" -" [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version |\n" -" -h | --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" Perform one of two conic projections geodesics. Convert geodetic\n" -" coordinates to either Lambert conformal conic or Albers equal area\n" -" coordinates. The standard latitudes lat1 and lat2 are specified by\n" -" that the -c option (for Lambert conformal conic) or the -a option (for\n" -" Albers equal area). At least one of these options must be given (the\n" -" last one given is used). Specify lat1 = lat2, to obtain the case with\n" -" a single standard parallel. The central meridian is given by lon0.\n" -" The longitude of origin is given by the latitude of minimum (azimuthal)\n" -" scale for Lambert conformal conic (Albers equal area). The (azimuthal)\n" -" scale on the standard parallels is k1.\n" -"\n" -" Geodetic coordinates are provided on standard input as a set of lines\n" -" containing (blank separated) latitude and longitude (decimal degrees or\n" -" degrees, minutes, seconds); for details on the allowed formats for\n" -" latitude and longitude, see the \"GEOGRAPHIC COORDINATES\" section of\n" -" GeoConvert(1). For each set of geodetic coordinates, the corresponding\n" -" projected easting, x, and northing, y, (meters) are printed on standard\n" -" output together with the meridian convergence gamma (degrees) and\n" -" (azimuthal) scale k. For Albers equal area, the radial scale is 1/k.\n" -" The meridian convergence is the bearing of the y axis measured\n" -" clockwise from true north.\n" -"\n" -" Special cases of the Lambert conformal projection are the Mercator\n" -" projection (the standard latitudes equal and opposite) and the polar\n" -" stereographic projection (both standard latitudes correspond to the\n" -" same pole). Special cases of the Albers equal area projection are the\n" -" cylindrical equal area projection (the standard latitudes equal and\n" -" opposite), the Lambert azimuthal equal area projection (both standard\n" -" latitude corresponds to the same pole), and the Lambert equal area\n" -" conic projection (one standard parallel is at a pole).\n" -"\n" -"OPTIONS\n" -" -c lat1 lat2\n" -" use the Lambert conformal conic projection with standard parallels\n" -" lat1 and lat2.\n" -"\n" -" -a lat1 lat2\n" -" use the Albers equal area projection with standard parallels lat1\n" -" and lat2.\n" -"\n" -" -l lon0\n" -" specify the longitude of origin lon0 (degrees, default 0).\n" -"\n" -" -k k1\n" -" specify the (azimuthal) scale k1 on the standard parallels (default\n" -" 1).\n" -"\n" -" -r perform the reverse projection. x and y are given on standard\n" -" input and each line of standard output gives latitude, longitude,\n" -" gamma, and k.\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 6). prec is the number\n" -" of digits after the decimal point for lengths (in meters). For\n" -" latitudes and longitudes (in degrees), the number of digits after\n" -" the decimal point is prec + 5. For the convergence (in degrees)\n" -" and scale, the number of digits after the decimal point is prec +\n" -" 6.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"EXAMPLES\n" -" echo 39.95N 75.17W | ConicProj -c 40d58 39d56 -l 77d45W\n" -" => 220445 -52372 1.67 1.0\n" -" echo 220445 -52372 | ConicProj -c 40d58 39d56 -l 77d45W -r\n" -" => 39.95 -75.17 1.67 1.0\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes ConicProj to return an exit code of\n" -" 1. However, an error does not cause ConicProj to terminate; following\n" -" lines will be converted.\n" -"\n" -"AUTHOR\n" -" ConicProj was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" ConicProj was added to GeographicLib,\n" -" , in version 1.9.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.1 b/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.1 deleted file mode 100644 index 4e8ae3c2572387b89f1c337bebff8010784941cd..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.1 +++ /dev/null @@ -1,528 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -GeoConvert \-\- convert geographic coordinates -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGeoConvert\fR [ \fB\-g\fR | \fB\-d\fR | \fB\-:\fR | \fB\-u\fR | \fB\-m\fR | \fB\-c\fR ] -[ \fB\-z\fR \fIzone\fR | \fB\-s\fR | \fB\-t\fR | \fB\-S\fR | \fB\-T\fR ] -[ \fB\-n\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] [ \fB\-l\fR | \fB\-a\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -\&\fBGeoConvert\fR reads from standard input interpreting each line as a -geographic coordinate and prints the coordinate in the format specified -by the options on standard output. The input is interpreted in one of -three different ways depending on how many space or comma delimited -tokens there are on the line. The options \fB\-g\fR, \fB\-d\fR, \fB\-u\fR, and \fB\-m\fR -govern the format of output. In all cases, the \s-1WGS84\s0 model of the earth -is used (\fIa\fR = 6378137 m, \fIf\fR = 1/298.257223563). -.IP "\fBgeographic\fR" 4 -.IX Item "geographic" -2 tokens (output options \fB\-g\fR, \fB\-d\fR, or \fB\-:\fR) given as \fIlatitude\fR -\&\fIlongitude\fR using decimal degrees or degrees, minutes, and seconds. -Latitude is given first (unless the \fB\-w\fR option is given). See -\&\*(L"\s-1GEOGRAPHIC COORDINATES\*(R"\s0 for a description of the format. For -example, the following are all equivalent -.Sp -.Vb 5 -\& 33.3 44.4 -\& E44.4 N33.3 -\& 33d18\*(AqN 44d24\*(AqE -\& 44d24 33d18N -\& 33:18 +44:24 -.Ve -.IP "\fB\s-1UTM/UPS\s0\fR" 4 -.IX Item "UTM/UPS" -3 tokens (output option \fB\-u\fR) given as \fIzone\fR+\fIhemisphere\fR \fIeasting\fR -\&\fInorthing\fR or \fIeasting\fR \fInorthing\fR \fIzone\fR+\fIhemisphere\fR, where -\&\fIhemisphere\fR is either \fIn\fR (or \fInorth\fR) or \fIs\fR (or \fIsouth\fR). The -\&\fIzone\fR is absent for a \s-1UPS\s0 specification. For example, -.Sp -.Vb 4 -\& 38n 444140.54 3684706.36 -\& 444140.54 3684706.36 38n -\& s 2173854.98 2985980.58 -\& 2173854.98 2985980.58 s -.Ve -.IP "\fB\s-1MRGS\s0\fR" 4 -.IX Item "MRGS" -1 token (output option \fB\-m\fR) is used to specify the center of an \s-1MGRS\s0 -grid square. For example, -.Sp -.Vb 2 -\& 38SMB4484 -\& 38SMB44140847064 -.Ve -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-g\fR" 4 -.IX Item "-g" -output latitude and longitude using decimal degrees. Default output mode. -.IP "\fB\-d\fR" 4 -.IX Item "-d" -output latitude and longitude using degrees, minutes, and seconds (\s-1DMS\s0). -.IP "\fB\-:\fR" 4 -.IX Item "-:" -like \fB\-d\fR, except use : as a separator instead of the d, ', and " -delimiters. -.IP "\fB\-u\fR" 4 -.IX Item "-u" -output \s-1UTM\s0 or \s-1UPS.\s0 -.IP "\fB\-m\fR" 4 -.IX Item "-m" -output \s-1MGRS.\s0 -.IP "\fB\-c\fR" 4 -.IX Item "-c" -output meridian convergence and scale for the corresponding \s-1UTM\s0 or \s-1UPS\s0 -projection. The meridian convergence is the bearing of grid north given -as degrees clockwise from true north. -.IP "\fB\-z\fR \fIzone\fR" 4 -.IX Item "-z zone" -set the zone to \fIzone\fR for output. Use either 0 < \fIzone\fR <= -60 for a \s-1UTM\s0 zone or \fIzone\fR = 0 for \s-1UPS.\s0 Alternatively use a -\&\fIzone\fR+\fIhemisphere\fR designation, e.g., 38n. See \*(L"\s-1ZONE\*(R"\s0. -.IP "\fB\-s\fR" 4 -.IX Item "-s" -use the standard \s-1UPS\s0 and \s-1UTM\s0 zones. -.IP "\fB\-t\fR" 4 -.IX Item "-t" -similar to \fB\-s\fR but forces \s-1UPS\s0 regions to the closest \s-1UTM\s0 zone. -.IP "\fB\-S\fR or \fB\-T\fR" 4 -.IX Item "-S or -T" -behave the same as \fB\-s\fR and \fB\-t\fR, respectively, until the first legal -conversion is performed. For subsequent points, the zone and hemisphere -of that conversion are used. This enables a sequence of points to be -converted into \s-1UTM\s0 or \s-1UPS\s0 using a consistent coordinate system. -.IP "\fB\-n\fR" 4 -.IX Item "-n" -on input, \s-1MGRS\s0 coordinates refer to the south-west corner of the \s-1MGRS\s0 -square instead of the center; see \*(L"\s-1MGRS\*(R"\s0. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 0); \fIprec\fR is the -precision relative to 1 m. See \*(L"\s-1PRECISION\*(R"\s0. -.IP "\fB\-l\fR" 4 -.IX Item "-l" -on output, \s-1UTM/UPS\s0 uses the long forms \fInorth\fR and \fIsouth\fR to -designate the hemisphere instead of \fIn\fR or \fIs\fR. -.IP "\fB\-a\fR" 4 -.IX Item "-a" -on output, \s-1UTM/UPS\s0 uses the abbreviations \fIn\fR and \fIs\fR to designate the -hemisphere instead of \fInorth\fR or \fIsouth\fR; this is the default -representation. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "PRECISION" -.IX Header "PRECISION" -\&\fIprec\fR gives precision of the output with \fIprec\fR = 0 giving 1 m -precision, \fIprec\fR = 3 giving 1 mm precision, etc. \fIprec\fR is the -number of digits after the decimal point for \s-1UTM/UPS.\s0 For \s-1MGRS,\s0 The -number of digits per coordinate is 5 + \fIprec\fR; \fIprec\fR = \-6 results in -just the grid zone. For decimal degrees, the number of digits after the -decimal point is 5 + \fIprec\fR. For \s-1DMS\s0 (degree, minute, seconds) output, -the number of digits after the decimal point in the seconds components -is 1 + \fIprec\fR; if this is negative then use minutes (\fIprec\fR = \-2 or -\&\-3) or degrees (\fIprec\fR <= \-4) as the least significant component. -Print convergence, resp. scale, with 5 + \fIprec\fR, resp. 7 + \fIprec\fR, -digits after the decimal point. The minimum value of \fIprec\fR is \-5 (\-6 -for \s-1MGRS\s0) and the maximum is 9 for \s-1UTM/UPS, 9\s0 for decimal degrees, 10 -for \s-1DMS, 6\s0 for \s-1MGRS,\s0 and 8 for convergence and scale. -.SH "GEOGRAPHIC COORDINATES" -.IX Header "GEOGRAPHIC COORDINATES" -The utility accepts geographic coordinates, latitude and longitude, in a -number of common formats. Latitude precedes longitude, unless the \fB\-w\fR -option is given which switches this convention. On input, either -coordinate may be given first by appending or prepending \fIN\fR or \fIS\fR to -the latitude and \fIE\fR or \fIW\fR to the longitude. These hemisphere -designators carry an implied sign, positive for \fIN\fR and \fIE\fR and -negative for \fIS\fR and \fIW\fR. This sign multiplies any +/\- sign prefixing -the coordinate. The coordinates may be given as decimal degree or as -degrees, minutes, and seconds. d, ', and " are used to denote degrees, -minutes, and seconds, with the least significant designator optional. -(See \*(L"\s-1QUOTING\*(R"\s0 for how to quote the characters ' and " when entering -coordinates on the command line.) Alternatively, : (colon) may be used -to separate the various components. Only the final component of -coordinate can include a decimal point, and the minutes and seconds -components must be less than 60. -.PP -It is also possible to carry out addition or subtraction operations in -geographic coordinates. If the coordinate includes interior signs -(i.e., not at the beginning or immediately after an initial hemisphere -designator), then the coordinate is split before such signs; the pieces -are parsed separately and the results summed. For example the point 15" -east of 39N 70W is -.PP -.Vb 1 -\& 39N 70W+0:0:15E -.Ve -.PP -\&\fB\s-1WARNING:\s0\fR \*(L"Exponential\*(R" notation is not recognized for geographic -coordinates. Thus 7.0E1 is illegal, while 7.0E+1 is parsed -as (7.0E) + (+1), yielding the same result as 8.0E. -.PP -Various unicode characters (encoded with \s-1UTF\-8\s0) may also be used to -denote degrees, minutes, and seconds, e.g., the degree, prime, and -double prime symbols; in addition two single quotes can be used to -represent ". -.PP -The other GeographicLib utilities use the same rules for interpreting -geographic coordinates; in addition, azimuths and arc lengths are -interpreted the same way. -.SH "QUOTING" -.IX Header "QUOTING" -Unfortunately the characters ' and \*(L" have special meanings in many -shells and have to be entered with care. However note (1) that the -trailing designator is optional and that (2) you can use colons as a -separator character. Thus 10d20' can be entered as 10d20 or 10:20 and -10d20'30\*(R" can be entered as 10:20:30. -.IP "Unix shells (sh, bash, tsch)" 4 -.IX Item "Unix shells (sh, bash, tsch)" -The characters ' and \*(L" can be quoted by preceding them with a \e -(backslash); or you can quote a string containing ' with a pair of \*(R"s. -The two alternatives are illustrated by -.Sp -.Vb 2 -\& echo 10d20\e\*(Aq30\e" "20d30\*(Aq40" | GeoConvert \-d \-p \-1 -\& => 10d20\*(Aq30"N 020d30\*(Aq40"E -.Ve -.Sp -Quoting of command line arguments is similar -.Sp -.Vb 2 -\& GeoConvert \-d \-p \-1 \-\-input\-string "10d20\*(Aq30\e" 20d30\*(Aq40" -\& => 10d20\*(Aq30"N 020d30\*(Aq40"E -.Ve -.IP "Windows command shell (cmd)" 4 -.IX Item "Windows command shell (cmd)" -The ' character needs no quoting; the " character can either be quoted -by a ^ or can be represented by typing ' twice. (This quoting is -usually unnecessary because the trailing designator can be omitted.) -Thus -.Sp -.Vb 2 -\& echo 10d20\*(Aq30\*(Aq\*(Aq 20d30\*(Aq40 | GeoConvert \-d \-p \-1 -\& => 10d20\*(Aq30"N 020d30\*(Aq40"E -.Ve -.Sp -Use \e to quote the " character in a command line argument -.Sp -.Vb 2 -\& GeoConvert \-d \-p \-1 \-\-input\-string "10d20\*(Aq30\e" 20d30\*(Aq40" -\& => 10d20\*(Aq30"N 020d30\*(Aq40"E -.Ve -.IP "Input from a file" 4 -.IX Item "Input from a file" -No quoting need be done if the input from a file. Thus each line of the -file \f(CW\*(C`input.txt\*(C'\fR should just contain the plain coordinates. -.Sp -.Vb 1 -\& GeoConvert \-d \-p \-1 < input.txt -.Ve -.SH "MGRS" -.IX Header "MGRS" -\&\s-1MGRS\s0 coordinates represent a square patch of the earth, thus -\&\f(CW\*(C`38SMB4488\*(C'\fR is in zone \f(CW\*(C`38n\*(C'\fR with 444km <= \fIeasting\fR < -445km and 3688km <= \fInorthing\fR < 3689km. Consistent with -this representation, coordinates are \fItruncated\fR (instead of -\&\fIrounded\fR) to the requested precision. When an \s-1MGRS\s0 coordinate is -provided as input, \fBGeoConvert\fR treats this as a representative point -within the square. By default, this representative point is the -\&\fIcenter\fR of the square (\f(CW\*(C`38n 444500 3688500\*(C'\fR in the example above). -(This leads to a stable conversion between \s-1MGRS\s0 and geographic -coordinates.) However, if the \fB\-n\fR option is given then the -south-west corner of the square is returned instead (\f(CW\*(C`38n 444000 -3688000\*(C'\fR in the example above). -.SH "ZONE" -.IX Header "ZONE" -If the input is \fBgeographic\fR, \fBGeoConvert\fR uses the standard rules of -selecting \s-1UTM\s0 vs \s-1UPS\s0 and for assigning the \s-1UTM\s0 zone (with the Norway and -Svalbard exceptions). If the input is \fB\s-1UTM/UPS\s0\fR or \fB\s-1MGRS\s0\fR, then the -choice between \s-1UTM\s0 and \s-1UPS\s0 and the \s-1UTM\s0 zone mirrors the input. The \fB\-z\fR -\&\fIzone\fR, \fB\-s\fR, and \fB\-t\fR options allow these rules to be overridden -with \fIzone\fR = 0 being used to indicate \s-1UPS.\s0 For example, the point -.PP -.Vb 1 -\& 79.9S 6.1E -.Ve -.PP -corresponds to possible \s-1MGRS\s0 coordinates -.PP -.Vb 3 -\& 32CMS4324728161 (standard UTM zone = 32) -\& 31CEM6066227959 (neighboring UTM zone = 31) -\& BBZ1945517770 (neighboring UPS zone) -.Ve -.PP -then -.PP -.Vb 4 -\& echo 79.9S 6.1E | GeoConvert \-p \-3 \-m => 32CMS4328 -\& echo 31CEM6066227959 | GeoConvert \-p \-3 \-m => 31CEM6027 -\& echo 31CEM6066227959 | GeoConvert \-p \-3 \-m \-s => 32CMS4328 -\& echo 31CEM6066227959 | GeoConvert \-p \-3 \-m \-z 0 => BBZ1917 -.Ve -.PP -Is \fIzone\fR is specified with a hemisphere, then this is honored when -printing \s-1UTM\s0 coordinates: -.PP -.Vb 4 -\& echo \-1 3 | GeoConvert \-u => 31s 500000 9889470 -\& echo \-1 3 | GeoConvert \-u \-z 31 => 31s 500000 9889470 -\& echo \-1 3 | GeoConvert \-u \-z 31s => 31s 500000 9889470 -\& echo \-1 3 | GeoConvert \-u \-z 31n => 31n 500000 \-110530 -.Ve -.PP -\&\fB\s-1NOTE\s0\fR: the letter in the zone specification for \s-1UTM\s0 is a hemisphere -designator \fIn\fR or \fIs\fR and \fInot\fR an \s-1MGRS\s0 latitude band letter. -Convert the \s-1MGRS\s0 latitude band letter to a hemisphere as follows: -replace \fIC\fR thru \fIM\fR by \fIs\fR (or \fIsouth\fR); replace \fIN\fR thru \fIX\fR by -\&\fIn\fR (or \fInorth\fR). -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 4 -\& echo 38SMB4488 | GeoConvert => 33.33424 44.40363 -\& echo 38SMB4488 | GeoConvert \-: \-p 1 => 33:20:03.25N 044:2413.06E -\& echo 38SMB4488 | GeoConvert \-u => 38n 444500 3688500 -\& echo E44d24 N33d20 | GeoConvert \-m \-p \-3 => 38SMB4488 -.Ve -.PP -GeoConvert can be used to do simple arithmetic using degree, minutes, -and seconds. For example, sometimes data is tiled in 15 second squares -tagged by the \s-1DMS\s0 representation of the \s-1SW\s0 corner. The tags of the tile -at 38:59:45N 077:02:00W and its 8 neighbors are then given by -.PP -.Vb 10 -\& t=0:0:15 -\& for y in \-$t +0 +$t; do -\& for x in \-$t +0 +$t; do -\& echo 38:59:45N$y 077:02:00W$x -\& done -\& done | GeoConvert \-: \-p \-1 | tr \-d \*(Aq: \*(Aq -\& => -\& 385930N0770215W -\& 385930N0770200W -\& 385930N0770145W -\& 385945N0770215W -\& 385945N0770200W -\& 385945N0770145W -\& 390000N0770215W -\& 390000N0770200W -\& 390000N0770145W -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGeoConvert\fR to return an exit code -of 1. However, an error does not cause \fBGeoConvert\fR to terminate; -following lines will be converted. -.SH "ABBREVIATIONS" -.IX Header "ABBREVIATIONS" -.IP "\fB\s-1UTM\s0\fR" 4 -.IX Item "UTM" -Universal Transverse Mercator, -. -.IP "\fB\s-1UPS\s0\fR" 4 -.IX Item "UPS" -Universal Polar Stereographic, -. -.IP "\fB\s-1MGRS\s0\fR" 4 -.IX Item "MGRS" -Military Grid Reference System, -. -.IP "\fB\s-1WGS84\s0\fR" 4 -.IX Item "WGS84" -World Geodetic System 1984, -. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -An online version of this utility is availbable at -. -.PP -The algorithms for the transverse Mercator projection are described in -C. F. F. Karney, \fITransverse Mercator with an accuracy of a few -nanometers\fR, J. Geodesy \fB85\fR(8), 475\-485 (Aug. 2011); \s-1DOI\s0 -; preprint -. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGeoConvert\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGeoConvert\fR was added to GeographicLib, -, in 2009\-01. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.1.html b/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.1.html deleted file mode 100644 index c0ac67a39bfad0b87fdd1162c064a9802a00269b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.1.html +++ /dev/null @@ -1,379 +0,0 @@ - - - - -GeoConvert(1) - - - - - - - - -

NAME

- -

GeoConvert -- convert geographic coordinates

- -

SYNOPSIS

- -

GeoConvert [ -g | -d | -: | -u | -m | -c ] [ -z zone | -s | -t | -S | -T ] [ -n ] [ -w ] [ -p prec ] [ -l | -a ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

GeoConvert reads from standard input interpreting each line as a geographic coordinate and prints the coordinate in the format specified by the options on standard output. The input is interpreted in one of three different ways depending on how many space or comma delimited tokens there are on the line. The options -g, -d, -u, and -m govern the format of output. In all cases, the WGS84 model of the earth is used (a = 6378137 m, f = 1/298.257223563).

- -
- -
geographic
-
- -

2 tokens (output options -g, -d, or -:) given as latitude longitude using decimal degrees or degrees, minutes, and seconds. Latitude is given first (unless the -w option is given). See "GEOGRAPHIC COORDINATES" for a description of the format. For example, the following are all equivalent

- -
    33.3 44.4
-    E44.4 N33.3
-    33d18'N 44d24'E
-    44d24 33d18N
-    33:18 +44:24
- -
-
UTM/UPS
-
- -

3 tokens (output option -u) given as zone+hemisphere easting northing or easting northing zone+hemisphere, where hemisphere is either n (or north) or s (or south). The zone is absent for a UPS specification. For example,

- -
    38n 444140.54 3684706.36
-    444140.54 3684706.36 38n
-    s 2173854.98 2985980.58
-    2173854.98 2985980.58 s
- -
-
MRGS
-
- -

1 token (output option -m) is used to specify the center of an MGRS grid square. For example,

- -
    38SMB4484
-    38SMB44140847064
- -
-
- -

OPTIONS

- -
- -
-g
-
- -

output latitude and longitude using decimal degrees. Default output mode.

- -
-
-d
-
- -

output latitude and longitude using degrees, minutes, and seconds (DMS).

- -
-
-:
-
- -

like -d, except use : as a separator instead of the d, ', and " delimiters.

- -
-
-u
-
- -

output UTM or UPS.

- -
-
-m
-
- -

output MGRS.

- -
-
-c
-
- -

output meridian convergence and scale for the corresponding UTM or UPS projection. The meridian convergence is the bearing of grid north given as degrees clockwise from true north.

- -
-
-z zone
-
- -

set the zone to zone for output. Use either 0 < zone <= 60 for a UTM zone or zone = 0 for UPS. Alternatively use a zone+hemisphere designation, e.g., 38n. See "ZONE".

- -
-
-s
-
- -

use the standard UPS and UTM zones.

- -
-
-t
-
- -

similar to -s but forces UPS regions to the closest UTM zone.

- -
-
-S or -T
-
- -

behave the same as -s and -t, respectively, until the first legal conversion is performed. For subsequent points, the zone and hemisphere of that conversion are used. This enables a sequence of points to be converted into UTM or UPS using a consistent coordinate system.

- -
-
-n
-
- -

on input, MGRS coordinates refer to the south-west corner of the MGRS square instead of the center; see "MGRS".

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 0); prec is the precision relative to 1 m. See "PRECISION".

- -
-
-l
-
- -

on output, UTM/UPS uses the long forms north and south to designate the hemisphere instead of n or s.

- -
-
-a
-
- -

on output, UTM/UPS uses the abbreviations n and s to designate the hemisphere instead of north or south; this is the default representation.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

PRECISION

- -

prec gives precision of the output with prec = 0 giving 1 m precision, prec = 3 giving 1 mm precision, etc. prec is the number of digits after the decimal point for UTM/UPS. For MGRS, The number of digits per coordinate is 5 + prec; prec = -6 results in just the grid zone. For decimal degrees, the number of digits after the decimal point is 5 + prec. For DMS (degree, minute, seconds) output, the number of digits after the decimal point in the seconds components is 1 + prec; if this is negative then use minutes (prec = -2 or -3) or degrees (prec <= -4) as the least significant component. Print convergence, resp. scale, with 5 + prec, resp. 7 + prec, digits after the decimal point. The minimum value of prec is -5 (-6 for MGRS) and the maximum is 9 for UTM/UPS, 9 for decimal degrees, 10 for DMS, 6 for MGRS, and 8 for convergence and scale.

- -

GEOGRAPHIC COORDINATES

- -

The utility accepts geographic coordinates, latitude and longitude, in a number of common formats. Latitude precedes longitude, unless the -w option is given which switches this convention. On input, either coordinate may be given first by appending or prepending N or S to the latitude and E or W to the longitude. These hemisphere designators carry an implied sign, positive for N and E and negative for S and W. This sign multiplies any +/- sign prefixing the coordinate. The coordinates may be given as decimal degree or as degrees, minutes, and seconds. d, ', and " are used to denote degrees, minutes, and seconds, with the least significant designator optional. (See "QUOTING" for how to quote the characters ' and " when entering coordinates on the command line.) Alternatively, : (colon) may be used to separate the various components. Only the final component of coordinate can include a decimal point, and the minutes and seconds components must be less than 60.

- -

It is also possible to carry out addition or subtraction operations in geographic coordinates. If the coordinate includes interior signs (i.e., not at the beginning or immediately after an initial hemisphere designator), then the coordinate is split before such signs; the pieces are parsed separately and the results summed. For example the point 15" east of 39N 70W is

- -
    39N 70W+0:0:15E
- -

WARNING: "Exponential" notation is not recognized for geographic coordinates. Thus 7.0E1 is illegal, while 7.0E+1 is parsed as (7.0E) + (+1), yielding the same result as 8.0E.

- -

Various unicode characters (encoded with UTF-8) may also be used to denote degrees, minutes, and seconds, e.g., the degree, prime, and double prime symbols; in addition two single quotes can be used to represent ".

- -

The other GeographicLib utilities use the same rules for interpreting geographic coordinates; in addition, azimuths and arc lengths are interpreted the same way.

- -

QUOTING

- -

Unfortunately the characters ' and " have special meanings in many shells and have to be entered with care. However note (1) that the trailing designator is optional and that (2) you can use colons as a separator character. Thus 10d20' can be entered as 10d20 or 10:20 and 10d20'30" can be entered as 10:20:30.

- -
- -
Unix shells (sh, bash, tsch)
-
- -

The characters ' and " can be quoted by preceding them with a \ (backslash); or you can quote a string containing ' with a pair of "s. The two alternatives are illustrated by

- -
   echo 10d20\'30\" "20d30'40" | GeoConvert -d -p -1
-   => 10d20'30"N 020d30'40"E
- -

Quoting of command line arguments is similar

- -
   GeoConvert -d -p -1 --input-string "10d20'30\" 20d30'40"
-   => 10d20'30"N 020d30'40"E
- -
-
Windows command shell (cmd)
-
- -

The ' character needs no quoting; the " character can either be quoted by a ^ or can be represented by typing ' twice. (This quoting is usually unnecessary because the trailing designator can be omitted.) Thus

- -
   echo 10d20'30'' 20d30'40 | GeoConvert -d -p -1
-   => 10d20'30"N 020d30'40"E
- -

Use \ to quote the " character in a command line argument

- -
   GeoConvert -d -p -1 --input-string "10d20'30\" 20d30'40"
-   => 10d20'30"N 020d30'40"E
- -
-
Input from a file
-
- -

No quoting need be done if the input from a file. Thus each line of the file input.txt should just contain the plain coordinates.

- -
  GeoConvert -d -p -1 < input.txt
- -
-
- -

MGRS

- -

MGRS coordinates represent a square patch of the earth, thus 38SMB4488 is in zone 38n with 444km <= easting < 445km and 3688km <= northing < 3689km. Consistent with this representation, coordinates are truncated (instead of rounded) to the requested precision. When an MGRS coordinate is provided as input, GeoConvert treats this as a representative point within the square. By default, this representative point is the center of the square (38n 444500 3688500 in the example above). (This leads to a stable conversion between MGRS and geographic coordinates.) However, if the -n option is given then the south-west corner of the square is returned instead (38n 444000 3688000 in the example above).

- -

ZONE

- -

If the input is geographic, GeoConvert uses the standard rules of selecting UTM vs UPS and for assigning the UTM zone (with the Norway and Svalbard exceptions). If the input is UTM/UPS or MGRS, then the choice between UTM and UPS and the UTM zone mirrors the input. The -z zone, -s, and -t options allow these rules to be overridden with zone = 0 being used to indicate UPS. For example, the point

- -
   79.9S 6.1E
- -

corresponds to possible MGRS coordinates

- -
   32CMS4324728161 (standard UTM zone = 32)
-   31CEM6066227959 (neighboring UTM zone = 31)
-     BBZ1945517770 (neighboring UPS zone)
- -

then

- -
   echo 79.9S 6.1E      | GeoConvert -p -3 -m       => 32CMS4328
-   echo 31CEM6066227959 | GeoConvert -p -3 -m       => 31CEM6027
-   echo 31CEM6066227959 | GeoConvert -p -3 -m -s    => 32CMS4328
-   echo 31CEM6066227959 | GeoConvert -p -3 -m -z 0  =>   BBZ1917
- -

Is zone is specified with a hemisphere, then this is honored when printing UTM coordinates:

- -
   echo -1 3 | GeoConvert -u         => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31   => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31s  => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31n  => 31n 500000 -110530
- -

NOTE: the letter in the zone specification for UTM is a hemisphere designator n or s and not an MGRS latitude band letter. Convert the MGRS latitude band letter to a hemisphere as follows: replace C thru M by s (or south); replace N thru X by n (or north).

- -

EXAMPLES

- -
   echo 38SMB4488 | GeoConvert         => 33.33424 44.40363
-   echo 38SMB4488 | GeoConvert -: -p 1 => 33:20:03.25N 044:2413.06E
-   echo 38SMB4488 | GeoConvert -u      => 38n 444500 3688500
-   echo E44d24 N33d20 | GeoConvert -m -p -3 => 38SMB4488
- -

GeoConvert can be used to do simple arithmetic using degree, minutes, and seconds. For example, sometimes data is tiled in 15 second squares tagged by the DMS representation of the SW corner. The tags of the tile at 38:59:45N 077:02:00W and its 8 neighbors are then given by

- -
    t=0:0:15
-    for y in -$t +0 +$t; do
-        for x in -$t +0 +$t; do
-            echo 38:59:45N$y 077:02:00W$x
-        done
-    done | GeoConvert -: -p -1 | tr -d ': '
-    =>
-    385930N0770215W
-    385930N0770200W
-    385930N0770145W
-    385945N0770215W
-    385945N0770200W
-    385945N0770145W
-    390000N0770215W
-    390000N0770200W
-    390000N0770145W
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeoConvert to return an exit code of 1. However, an error does not cause GeoConvert to terminate; following lines will be converted.

- -

ABBREVIATIONS

- -
- -
UTM
-
- -

Universal Transverse Mercator, https://en.wikipedia.org/wiki/Universal_Transverse_Mercator_coordinate_system.

- -
-
UPS
-
- -

Universal Polar Stereographic, https://en.wikipedia.org/wiki/Universal_Polar_Stereographic.

- -
-
MGRS
-
- -

Military Grid Reference System, https://en.wikipedia.org/wiki/Military_grid_reference_system.

- -
-
WGS84
-
- -

World Geodetic System 1984, https://en.wikipedia.org/wiki/WGS84.

- -
-
- -

SEE ALSO

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeoConvert.

- -

The algorithms for the transverse Mercator projection are described in C. F. F. Karney, Transverse Mercator with an accuracy of a few nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI https://doi.org/10.1007/s00190-011-0445-3; preprint https://arxiv.org/abs/1002.1417.

- -

AUTHOR

- -

GeoConvert was written by Charles Karney.

- -

HISTORY

- -

GeoConvert was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-01.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.usage b/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.usage deleted file mode 100644 index 6d914adf2e9de5f4728490c9c04d852bfe172b6b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeoConvert.usage +++ /dev/null @@ -1,361 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" GeoConvert [ -g | -d | -: | -u | -m | -c ] [ -z zone | -s | -t | -S |\n" -" -T ] [ -n ] [ -w ] [ -p prec ] [ -l | -a ] [ --comment-delimiter\n" -" commentdelim ] [ --version | -h | --help ] [ --input-file infile |\n" -" --input-string instring ] [ --line-separator linesep ] [ --output-file\n" -" outfile ]\n" -"\n" -"For full documentation type:\n" -" GeoConvert --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/GeoConvert.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" GeoConvert -- convert geographic coordinates\n" -"\n" -"SYNOPSIS\n" -" GeoConvert [ -g | -d | -: | -u | -m | -c ] [ -z zone | -s | -t | -S |\n" -" -T ] [ -n ] [ -w ] [ -p prec ] [ -l | -a ] [ --comment-delimiter\n" -" commentdelim ] [ --version | -h | --help ] [ --input-file infile |\n" -" --input-string instring ] [ --line-separator linesep ] [ --output-file\n" -" outfile ]\n" -"\n" -"DESCRIPTION\n" -" GeoConvert reads from standard input interpreting each line as a\n" -" geographic coordinate and prints the coordinate in the format specified\n" -" by the options on standard output. The input is interpreted in one of\n" -" three different ways depending on how many space or comma delimited\n" -" tokens there are on the line. The options -g, -d, -u, and -m govern\n" -" the format of output. In all cases, the WGS84 model of the earth is\n" -" used (a = 6378137 m, f = 1/298.257223563).\n" -"\n" -" geographic\n" -" 2 tokens (output options -g, -d, or -:) given as latitude longitude\n" -" using decimal degrees or degrees, minutes, and seconds. Latitude\n" -" is given first (unless the -w option is given). See \"GEOGRAPHIC\n" -" COORDINATES\" for a description of the format. For example, the\n" -" following are all equivalent\n" -"\n" -" 33.3 44.4\n" -" E44.4 N33.3\n" -" 33d18'N 44d24'E\n" -" 44d24 33d18N\n" -" 33:18 +44:24\n" -"\n" -" UTM/UPS\n" -" 3 tokens (output option -u) given as zone+hemisphere easting\n" -" northing or easting northing zone+hemisphere, where hemisphere is\n" -" either n (or north) or s (or south). The zone is absent for a UPS\n" -" specification. For example,\n" -"\n" -" 38n 444140.54 3684706.36\n" -" 444140.54 3684706.36 38n\n" -" s 2173854.98 2985980.58\n" -" 2173854.98 2985980.58 s\n" -"\n" -" MRGS\n" -" 1 token (output option -m) is used to specify the center of an MGRS\n" -" grid square. For example,\n" -"\n" -" 38SMB4484\n" -" 38SMB44140847064\n" -"\n" -"OPTIONS\n" -" -g output latitude and longitude using decimal degrees. Default\n" -" output mode.\n" -"\n" -" -d output latitude and longitude using degrees, minutes, and seconds\n" -" (DMS).\n" -"\n" -" -: like -d, except use : as a separator instead of the d, ', and \"\n" -" delimiters.\n" -"\n" -" -u output UTM or UPS.\n" -"\n" -" -m output MGRS.\n" -"\n" -" -c output meridian convergence and scale for the corresponding UTM or\n" -" UPS projection. The meridian convergence is the bearing of grid\n" -" north given as degrees clockwise from true north.\n" -"\n" -" -z zone\n" -" set the zone to zone for output. Use either 0 < zone <= 60 for a\n" -" UTM zone or zone = 0 for UPS. Alternatively use a zone+hemisphere\n" -" designation, e.g., 38n. See \"ZONE\".\n" -"\n" -" -s use the standard UPS and UTM zones.\n" -"\n" -" -t similar to -s but forces UPS regions to the closest UTM zone.\n" -"\n" -" -S or -T\n" -" behave the same as -s and -t, respectively, until the first legal\n" -" conversion is performed. For subsequent points, the zone and\n" -" hemisphere of that conversion are used. This enables a sequence of\n" -" points to be converted into UTM or UPS using a consistent\n" -" coordinate system.\n" -"\n" -" -n on input, MGRS coordinates refer to the south-west corner of the\n" -" MGRS square instead of the center; see \"MGRS\".\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 0); prec is the precision\n" -" relative to 1 m. See \"PRECISION\".\n" -"\n" -" -l on output, UTM/UPS uses the long forms north and south to designate\n" -" the hemisphere instead of n or s.\n" -"\n" -" -a on output, UTM/UPS uses the abbreviations n and s to designate the\n" -" hemisphere instead of north or south; this is the default\n" -" representation.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"PRECISION\n" -" prec gives precision of the output with prec = 0 giving 1 m precision,\n" -" prec = 3 giving 1 mm precision, etc. prec is the number of digits\n" -" after the decimal point for UTM/UPS. For MGRS, The number of digits\n" -" per coordinate is 5 + prec; prec = -6 results in just the grid zone.\n" -" For decimal degrees, the number of digits after the decimal point is 5\n" -" + prec. For DMS (degree, minute, seconds) output, the number of digits\n" -" after the decimal point in the seconds components is 1 + prec; if this\n" -" is negative then use minutes (prec = -2 or -3) or degrees (prec <= -4)\n" -" as the least significant component. Print convergence, resp. scale,\n" -" with 5 + prec, resp. 7 + prec, digits after the decimal point. The\n" -" minimum value of prec is -5 (-6 for MGRS) and the maximum is 9 for\n" -" UTM/UPS, 9 for decimal degrees, 10 for DMS, 6 for MGRS, and 8 for\n" -" convergence and scale.\n" -"\n" -"GEOGRAPHIC COORDINATES\n" -" The utility accepts geographic coordinates, latitude and longitude, in\n" -" a number of common formats. Latitude precedes longitude, unless the -w\n" -" option is given which switches this convention. On input, either\n" -" coordinate may be given first by appending or prepending N or S to the\n" -" latitude and E or W to the longitude. These hemisphere designators\n" -" carry an implied sign, positive for N and E and negative for S and W.\n" -" This sign multiplies any +/- sign prefixing the coordinate. The\n" -" coordinates may be given as decimal degree or as degrees, minutes, and\n" -" seconds. d, ', and \" are used to denote degrees, minutes, and seconds,\n" -" with the least significant designator optional. (See \"QUOTING\" for how\n" -" to quote the characters ' and \" when entering coordinates on the\n" -" command line.) Alternatively, : (colon) may be used to separate the\n" -" various components. Only the final component of coordinate can include\n" -" a decimal point, and the minutes and seconds components must be less\n" -" than 60.\n" -"\n" -" It is also possible to carry out addition or subtraction operations in\n" -" geographic coordinates. If the coordinate includes interior signs\n" -" (i.e., not at the beginning or immediately after an initial hemisphere\n" -" designator), then the coordinate is split before such signs; the pieces\n" -" are parsed separately and the results summed. For example the point\n" -" 15\" east of 39N 70W is\n" -"\n" -" 39N 70W+0:0:15E\n" -"\n" -" WARNING: \"Exponential\" notation is not recognized for geographic\n" -" coordinates. Thus 7.0E1 is illegal, while 7.0E+1 is parsed as (7.0E) +\n" -" (+1), yielding the same result as 8.0E.\n" -"\n" -" Various unicode characters (encoded with UTF-8) may also be used to\n" -" denote degrees, minutes, and seconds, e.g., the degree, prime, and\n" -" double prime symbols; in addition two single quotes can be used to\n" -" represent \".\n" -"\n" -" The other GeographicLib utilities use the same rules for interpreting\n" -" geographic coordinates; in addition, azimuths and arc lengths are\n" -" interpreted the same way.\n" -"\n" -"QUOTING\n" -" Unfortunately the characters ' and \" have special meanings in many\n" -" shells and have to be entered with care. However note (1) that the\n" -" trailing designator is optional and that (2) you can use colons as a\n" -" separator character. Thus 10d20' can be entered as 10d20 or 10:20 and\n" -" 10d20'30\" can be entered as 10:20:30.\n" -"\n" -" Unix shells (sh, bash, tsch)\n" -" The characters ' and \" can be quoted by preceding them with a \\\n" -" (backslash); or you can quote a string containing ' with a pair of\n" -" \"s. The two alternatives are illustrated by\n" -"\n" -" echo 10d20\\'30\\\" \"20d30'40\" | GeoConvert -d -p -1\n" -" => 10d20'30\"N 020d30'40\"E\n" -"\n" -" Quoting of command line arguments is similar\n" -"\n" -" GeoConvert -d -p -1 --input-string \"10d20'30\\\" 20d30'40\"\n" -" => 10d20'30\"N 020d30'40\"E\n" -"\n" -" Windows command shell (cmd)\n" -" The ' character needs no quoting; the \" character can either be\n" -" quoted by a ^ or can be represented by typing ' twice. (This\n" -" quoting is usually unnecessary because the trailing designator can\n" -" be omitted.) Thus\n" -"\n" -" echo 10d20'30'' 20d30'40 | GeoConvert -d -p -1\n" -" => 10d20'30\"N 020d30'40\"E\n" -"\n" -" Use \\ to quote the \" character in a command line argument\n" -"\n" -" GeoConvert -d -p -1 --input-string \"10d20'30\\\" 20d30'40\"\n" -" => 10d20'30\"N 020d30'40\"E\n" -"\n" -" Input from a file\n" -" No quoting need be done if the input from a file. Thus each line\n" -" of the file \"input.txt\" should just contain the plain coordinates.\n" -"\n" -" GeoConvert -d -p -1 < input.txt\n" -"\n" -"MGRS\n" -" MGRS coordinates represent a square patch of the earth, thus\n" -" \"38SMB4488\" is in zone \"38n\" with 444km <= easting < 445km and 3688km\n" -" <= northing < 3689km. Consistent with this representation, coordinates\n" -" are truncated (instead of rounded) to the requested precision. When an\n" -" MGRS coordinate is provided as input, GeoConvert treats this as a\n" -" representative point within the square. By default, this\n" -" representative point is the center of the square (\"38n 444500 3688500\"\n" -" in the example above). (This leads to a stable conversion between MGRS\n" -" and geographic coordinates.) However, if the -n option is given then\n" -" the south-west corner of the square is returned instead (\"38n 444000\n" -" 3688000\" in the example above).\n" -"\n" -"ZONE\n" -" If the input is geographic, GeoConvert uses the standard rules of\n" -" selecting UTM vs UPS and for assigning the UTM zone (with the Norway\n" -" and Svalbard exceptions). If the input is UTM/UPS or MGRS, then the\n" -" choice between UTM and UPS and the UTM zone mirrors the input. The -z\n" -" zone, -s, and -t options allow these rules to be overridden with zone =\n" -" 0 being used to indicate UPS. For example, the point\n" -"\n" -" 79.9S 6.1E\n" -"\n" -" corresponds to possible MGRS coordinates\n" -"\n" -" 32CMS4324728161 (standard UTM zone = 32)\n" -" 31CEM6066227959 (neighboring UTM zone = 31)\n" -" BBZ1945517770 (neighboring UPS zone)\n" -"\n" -" then\n" -"\n" -" echo 79.9S 6.1E | GeoConvert -p -3 -m => 32CMS4328\n" -" echo 31CEM6066227959 | GeoConvert -p -3 -m => 31CEM6027\n" -" echo 31CEM6066227959 | GeoConvert -p -3 -m -s => 32CMS4328\n" -" echo 31CEM6066227959 | GeoConvert -p -3 -m -z 0 => BBZ1917\n" -"\n" -" Is zone is specified with a hemisphere, then this is honored when\n" -" printing UTM coordinates:\n" -"\n" -" echo -1 3 | GeoConvert -u => 31s 500000 9889470\n" -" echo -1 3 | GeoConvert -u -z 31 => 31s 500000 9889470\n" -" echo -1 3 | GeoConvert -u -z 31s => 31s 500000 9889470\n" -" echo -1 3 | GeoConvert -u -z 31n => 31n 500000 -110530\n" -"\n" -" NOTE: the letter in the zone specification for UTM is a hemisphere\n" -" designator n or s and not an MGRS latitude band letter. Convert the\n" -" MGRS latitude band letter to a hemisphere as follows: replace C thru M\n" -" by s (or south); replace N thru X by n (or north).\n" -"\n" -"EXAMPLES\n" -" echo 38SMB4488 | GeoConvert => 33.33424 44.40363\n" -" echo 38SMB4488 | GeoConvert -: -p 1 => 33:20:03.25N 044:2413.06E\n" -" echo 38SMB4488 | GeoConvert -u => 38n 444500 3688500\n" -" echo E44d24 N33d20 | GeoConvert -m -p -3 => 38SMB4488\n" -"\n" -" GeoConvert can be used to do simple arithmetic using degree, minutes,\n" -" and seconds. For example, sometimes data is tiled in 15 second squares\n" -" tagged by the DMS representation of the SW corner. The tags of the\n" -" tile at 38:59:45N 077:02:00W and its 8 neighbors are then given by\n" -"\n" -" t=0:0:15\n" -" for y in -$t +0 +$t; do\n" -" for x in -$t +0 +$t; do\n" -" echo 38:59:45N$y 077:02:00W$x\n" -" done\n" -" done | GeoConvert -: -p -1 | tr -d ': '\n" -" =>\n" -" 385930N0770215W\n" -" 385930N0770200W\n" -" 385930N0770145W\n" -" 385945N0770215W\n" -" 385945N0770200W\n" -" 385945N0770145W\n" -" 390000N0770215W\n" -" 390000N0770200W\n" -" 390000N0770145W\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes GeoConvert to return an exit code of\n" -" 1. However, an error does not cause GeoConvert to terminate; following\n" -" lines will be converted.\n" -"\n" -"ABBREVIATIONS\n" -" UTM Universal Transverse Mercator,\n" -" .\n" -"\n" -" UPS Universal Polar Stereographic,\n" -" .\n" -"\n" -" MGRS\n" -" Military Grid Reference System,\n" -" .\n" -"\n" -" WGS84\n" -" World Geodetic System 1984, .\n" -"\n" -"SEE ALSO\n" -" An online version of this utility is availbable at\n" -" .\n" -"\n" -" The algorithms for the transverse Mercator projection are described in\n" -" C. F. F. Karney, Transverse Mercator with an accuracy of a few\n" -" nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI\n" -" ; preprint\n" -" .\n" -"\n" -"AUTHOR\n" -" GeoConvert was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" GeoConvert was added to GeographicLib,\n" -" , in 2009-01.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.1 b/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.1 deleted file mode 100644 index 96bebd9a17440368cce345ed19027ebf8b011fbd..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.1 +++ /dev/null @@ -1,486 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Of course, you'll have to process the -.\" output yourself in some meaningful fashion. -.\" -.\" Avoid warning from groff about undefined register 'F'. -.de IX -.. -.if !\nF .nr F 0 -.if \nF>0 \{\ -. de IX -. tm Index:\\$1\t\\n%\t"\\$2" -.. -. if !\nF==2 \{\ -. nr % 0 -. nr F 2 -. \} -.\} -.\" -.\" Accent mark definitions (@(#)ms.acc 1.5 88/02/08 SMI; from UCB 4.2). -.\" Fear. Run. Save yourself. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -GeodSolve \-\- perform geodesic calculations -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGeodSolve\fR -[ \fB\-i\fR | \fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR | -\&\fB\-D\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR \fIs13\fR | \fB\-I\fR \fIlat1\fR \fIlon1\fR \fIlat3\fR \fIlon3\fR ] -[ \fB\-a\fR ] [ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-u\fR ] [ \fB\-F\fR ] -[ \fB\-d\fR | \fB\-:\fR ] [ \fB\-w\fR ] [ \fB\-b\fR ] [ \fB\-f\fR ] [ \fB\-p\fR \fIprec\fR ] [ \fB\-E\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -The shortest path between two points on the ellipsoid at (\fIlat1\fR, -\&\fIlon1\fR) and (\fIlat2\fR, \fIlon2\fR) is called the geodesic. Its length is -\&\fIs12\fR and the geodesic from point 1 to point 2 has forward azimuths -\&\fIazi1\fR and \fIazi2\fR at the two end points. -.PP -\&\fBGeodSolve\fR operates in one of three modes: -.IP "1." 4 -By default, \fBGeodSolve\fR accepts lines on the standard input containing -\&\fIlat1\fR \fIlon1\fR \fIazi1\fR \fIs12\fR and prints \fIlat2\fR \fIlon2\fR \fIazi2\fR -on standard output. This is the direct geodesic calculation. -.IP "2." 4 -With the \fB\-i\fR command line argument, \fBGeodSolve\fR performs the inverse -geodesic calculation. It reads lines containing \fIlat1\fR \fIlon1\fR \fIlat2\fR -\&\fIlon2\fR and prints the corresponding values of \fIazi1\fR \fIazi2\fR \fIs12\fR. -.IP "3." 4 -Command line arguments \fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR specify a geodesic -line. \fBGeodSolve\fR then accepts a sequence of \fIs12\fR values (one per -line) on standard input and prints \fIlat2\fR \fIlon2\fR \fIazi2\fR for each. -This generates a sequence of points on a single geodesic. Command line -arguments \fB\-D\fR and \fB\-I\fR work similarly with the geodesic line defined -in terms of a direct or inverse geodesic calculation, respectively. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-i\fR" 4 -.IX Item "-i" -perform an inverse geodesic calculation (see 2 above). -.IP "\fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR" 4 -.IX Item "-L lat1 lon1 azi1" -line mode (see 3 above); generate a sequence of points along the -geodesic specified by \fIlat1\fR \fIlon1\fR \fIazi1\fR. The \fB\-w\fR flag can be -used to swap the default order of the 2 geographic coordinates, provided -that it appears before \fB\-L\fR. (\fB\-l\fR is an alternative, deprecated, -spelling of this flag.) -.IP "\fB\-D\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR \fIs13\fR" 4 -.IX Item "-D lat1 lon1 azi1 s13" -line mode (see 3 above); generate a sequence of points along the -geodesic specified by \fIlat1\fR \fIlon1\fR \fIazi1\fR \fIs13\fR. The \fB\-w\fR flag -can be used to swap the default order of the 2 geographic coordinates, -provided that it appears before \fB\-D\fR. Similarly, the \fB\-a\fR flag can be -used to change the interpretation of \fIs13\fR to \fIa13\fR, provided that it -appears before \fB\-D\fR. -.IP "\fB\-I\fR \fIlat1\fR \fIlon1\fR \fIlat3\fR \fIlon3\fR" 4 -.IX Item "-I lat1 lon1 lat3 lon3" -line mode (see 3 above); generate a sequence of points along the -geodesic specified by \fIlat1\fR \fIlon1\fR \fIlat3\fR \fIlon3\fR. The \fB\-w\fR flag -can be used to swap the default order of the 2 geographic coordinates, -provided that it appears before \fB\-I\fR. -.IP "\fB\-a\fR" 4 -.IX Item "-a" -toggle the arc mode flag (it starts off); if this flag is on, then on -input \fIand\fR output \fIs12\fR is replaced by \fIa12\fR the arc length (in -degrees) on the auxiliary sphere. See \*(L"\s-1AUXILIARY SPHERE\*(R"\s0. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-u\fR" 4 -.IX Item "-u" -unroll the longitude. Normally, on output longitudes are reduced to lie -in [\-180deg,180deg). However with this option, the returned longitude -\&\fIlon2\fR is \*(L"unrolled\*(R" so that \fIlon2\fR \- \fIlon1\fR indicates how often and -in what sense the geodesic has encircled the earth. Use the \fB\-f\fR -option, to get both longitudes printed. -.IP "\fB\-F\fR" 4 -.IX Item "-F" -fractional mode. This only has any effect with the \fB\-D\fR and \fB\-I\fR -options (and is otherwise ignored). The values read on standard input -are interpreted as fractional distances to point 3, i.e., as -\&\fIs12\fR/\fIs13\fR instead of \fIs12\fR. If arc mode is in effect, then the -values denote fractional arc length, i.e., \fIa12\fR/\fIa13\fR. The -fractional distances can be entered as a simple fraction, e.g., 3/4. -.IP "\fB\-d\fR" 4 -.IX Item "-d" -output angles as degrees, minutes, seconds instead of decimal degrees. -.IP "\fB\-:\fR" 4 -.IX Item "-:" -like \fB\-d\fR, except use : as a separator instead of the d, ', and " -delimiters. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-b\fR" 4 -.IX Item "-b" -report the \fIback\fR azimuth at point 2 instead of the forward azimuth. -.IP "\fB\-f\fR" 4 -.IX Item "-f" -full output; each line of output consists of 12 quantities: \fIlat1\fR -\&\fIlon1\fR \fIazi1\fR \fIlat2\fR \fIlon2\fR \fIazi2\fR \fIs12\fR \fIa12\fR \fIm12\fR \fIM12\fR -\&\fIM21\fR \fIS12\fR. \fIa12\fR is described in \*(L"\s-1AUXILIARY SPHERE\*(R"\s0. The four -quantities \fIm12\fR, \fIM12\fR, \fIM21\fR, and \fIS12\fR are described in -\&\*(L"\s-1ADDITIONAL QUANTITIES\*(R"\s0. -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 3); \fIprec\fR is the -precision relative to 1 m. See \*(L"\s-1PRECISION\*(R"\s0. -.IP "\fB\-E\fR" 4 -.IX Item "-E" -use \*(L"exact\*(R" algorithms (based on elliptic integrals) for the geodesic -calculations. These are more accurate than the (default) series -expansions for |\fIf\fR| > 0.02. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "INPUT" -.IX Header "INPUT" -\&\fBGeodSolve\fR measures all angles in degrees and all lengths (\fIs12\fR) in -meters, and all areas (\fIS12\fR) in meters^2. On input angles (latitude, -longitude, azimuth, arc length) can be as decimal degrees or degrees, -minutes, seconds. For example, \f(CW\*(C`40d30\*(C'\fR, \f(CW\*(C`40d30\*(Aq\*(C'\fR, \f(CW\*(C`40:30\*(C'\fR, \f(CW\*(C`40.5d\*(C'\fR, -and \f(CW40.5\fR are all equivalent. By default, latitude precedes longitude -for each point (the \fB\-w\fR flag switches this convention); however on -input either may be given first by appending (or prepending) \fIN\fR or -\&\fIS\fR to the latitude and \fIE\fR or \fIW\fR to the longitude. Azimuths are -measured clockwise from north; however this may be overridden with \fIE\fR -or \fIW\fR. -.PP -For details on the allowed formats for angles, see the \f(CW\*(C`GEOGRAPHIC -COORDINATES\*(C'\fR section of \fIGeoConvert\fR\|(1). -.SH "AUXILIARY SPHERE" -.IX Header "AUXILIARY SPHERE" -Geodesics on the ellipsoid can be transferred to the \fIauxiliary sphere\fR -on which the distance is measured in terms of the arc length \fIa12\fR -(measured in degrees) instead of \fIs12\fR. In terms of \fIa12\fR, 180 -degrees is the distance from one equator crossing to the next or from -the minimum latitude to the maximum latitude. Geodesics with \fIa12\fR -> 180 degrees do not correspond to shortest paths. With the \fB\-a\fR -flag, \fIs12\fR (on both input and output) is replaced by \fIa12\fR. The -\&\fB\-a\fR flag does \fInot\fR affect the full output given by the \fB\-f\fR flag -(which always includes both \fIs12\fR and \fIa12\fR). -.SH "ADDITIONAL QUANTITIES" -.IX Header "ADDITIONAL QUANTITIES" -The \fB\-f\fR flag reports four additional quantities. -.PP -The reduced length of the geodesic, \fIm12\fR, is defined such that if the -initial azimuth is perturbed by d\fIazi1\fR (radians) then the second point -is displaced by \fIm12\fR d\fIazi1\fR in the direction perpendicular to the -geodesic. \fIm12\fR is given in meters. On a curved surface the -reduced length obeys a symmetry relation, \fIm12\fR + \fIm21\fR = 0. On a -flat surface, we have \fIm12\fR = \fIs12\fR. -.PP -\&\fIM12\fR and \fIM21\fR are geodesic scales. If two geodesics are parallel at -point 1 and separated by a small distance \fIdt\fR, then they are separated -by a distance \fIM12\fR \fIdt\fR at point 2. \fIM21\fR is defined similarly -(with the geodesics being parallel to one another at point 2). \fIM12\fR -and \fIM21\fR are dimensionless quantities. On a flat surface, we have -\&\fIM12\fR = \fIM21\fR = 1. -.PP -If points 1, 2, and 3 lie on a single geodesic, then the following -addition rules hold: -.PP -.Vb 6 -\& s13 = s12 + s23, -\& a13 = a12 + a23, -\& S13 = S12 + S23, -\& m13 = m12 M23 + m23 M21, -\& M13 = M12 M23 \- (1 \- M12 M21) m23 / m12, -\& M31 = M32 M21 \- (1 \- M23 M32) m12 / m23. -.Ve -.PP -Finally, \fIS12\fR is the area between the geodesic from point 1 to point 2 -and the equator; i.e., it is the area, measured counter-clockwise, of -the geodesic quadrilateral with corners (\fIlat1\fR,\fIlon1\fR), (0,\fIlon1\fR), -(0,\fIlon2\fR), and (\fIlat2\fR,\fIlon2\fR). It is given in meters^2. -.SH "PRECISION" -.IX Header "PRECISION" -\&\fIprec\fR gives precision of the output with \fIprec\fR = 0 giving 1 m -precision, \fIprec\fR = 3 giving 1 mm precision, etc. \fIprec\fR is the -number of digits after the decimal point for lengths. For decimal -degrees, the number of digits after the decimal point is \fIprec\fR + 5. -For \s-1DMS\s0 (degree, minute, seconds) output, the number of digits after the -decimal point in the seconds component is \fIprec\fR + 1. The minimum -value of \fIprec\fR is 0 and the maximum is 10. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGeodSolve\fR to return an exit code -of 1. However, an error does not cause \fBGeodSolve\fR to terminate; -following lines will be converted. -.SH "ACCURACY" -.IX Header "ACCURACY" -Using the (default) series solution, GeodSolve is accurate to about 15 -nm (15 nanometers) for the \s-1WGS84\s0 ellipsoid. The approximate maximum -error (expressed as a distance) for an ellipsoid with the same equatorial -radius as the \s-1WGS84\s0 ellipsoid and different values of the flattening is -.PP -.Vb 6 -\& |f| error -\& 0.01 25 nm -\& 0.02 30 nm -\& 0.05 10 um -\& 0.1 1.5 mm -\& 0.2 300 mm -.Ve -.PP -If \fB\-E\fR is specified, GeodSolve is accurate to about 40 nm (40 -nanometers) for the \s-1WGS84\s0 ellipsoid. The approximate maximum error -(expressed as a distance) for an ellipsoid with a quarter meridian of -10000 km and different values of the \fIa/b\fR = 1 \- \fIf\fR is -.PP -.Vb 10 -\& 1\-f error (nm) -\& 1/128 387 -\& 1/64 345 -\& 1/32 269 -\& 1/16 210 -\& 1/8 115 -\& 1/4 69 -\& 1/2 36 -\& 1 15 -\& 2 25 -\& 4 96 -\& 8 318 -\& 16 985 -\& 32 2352 -\& 64 6008 -\& 128 19024 -.Ve -.SH "MULTIPLE SOLUTIONS" -.IX Header "MULTIPLE SOLUTIONS" -The shortest distance returned for the inverse problem is (obviously) -uniquely defined. However, in a few special cases there are multiple -azimuths which yield the same shortest distance. Here is a catalog of -those cases: -.IP "\fIlat1\fR = \-\fIlat2\fR (with neither point at a pole)" 4 -.IX Item "lat1 = -lat2 (with neither point at a pole)" -If \fIazi1\fR = \fIazi2\fR, the geodesic is unique. Otherwise there are two -geodesics and the second one is obtained by setting [\fIazi1\fR,\fIazi2\fR] = -[\fIazi2\fR,\fIazi1\fR], [\fIM12\fR,\fIM21\fR] = [\fIM21\fR,\fIM12\fR], \fIS12\fR = \-\fIS12\fR. -(This occurs when the longitude difference is near +/\-180 for oblate -ellipsoids.) -.IP "\fIlon2\fR = \fIlon1\fR +/\- 180 (with neither point at a pole)" 4 -.IX Item "lon2 = lon1 +/- 180 (with neither point at a pole)" -If \fIazi1\fR = 0 or +/\-180, the geodesic is unique. Otherwise there are -two geodesics and the second one is obtained by setting -[\fIazi1\fR,\fIazi2\fR] = [\-\fIazi1\fR,\-\fIazi2\fR], \fIS12\fR = \-\fIS12\fR. (This occurs -when \fIlat2\fR is near \-\fIlat1\fR for prolate ellipsoids.) -.IP "Points 1 and 2 at opposite poles" 4 -.IX Item "Points 1 and 2 at opposite poles" -There are infinitely many geodesics which can be generated by setting -[\fIazi1\fR,\fIazi2\fR] = [\fIazi1\fR,\fIazi2\fR] + [\fId\fR,\-\fId\fR], for arbitrary -\&\fId\fR. (For spheres, this prescription applies when points 1 and 2 are -antipodal.) -.IP "\fIs12\fR = 0 (coincident points)" 4 -.IX Item "s12 = 0 (coincident points)" -There are infinitely many geodesics which can be generated by setting -[\fIazi1\fR,\fIazi2\fR] = [\fIazi1\fR,\fIazi2\fR] + [\fId\fR,\fId\fR], for arbitrary \fId\fR. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -Route from \s-1JFK\s0 Airport to Singapore Changi Airport: -.PP -.Vb 2 -\& echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E | -\& GeodSolve \-i \-: \-p 0 -\& -\& 003:18:29.9 177:29:09.2 15347628 -.Ve -.PP -Equally spaced waypoints on the route: -.PP -.Vb 2 -\& for ((i = 0; i <= 10; ++i)); do echo $i/10; done | -\& GeodSolve \-I 40:38:23N 073:46:44W 01:21:33N 103:59:22E \-F \-: \-p 0 -\& -\& 40:38:23.0N 073:46:44.0W 003:18:29.9 -\& 54:24:51.3N 072:25:39.6W 004:18:44.1 -\& 68:07:37.7N 069:40:42.9W 006:44:25.4 -\& 81:38:00.4N 058:37:53.9W 017:28:52.7 -\& 83:43:26.0N 080:37:16.9E 156:26:00.4 -\& 70:20:29.2N 097:01:29.4E 172:31:56.4 -\& 56:38:36.0N 100:14:47.6E 175:26:10.5 -\& 42:52:37.1N 101:43:37.2E 176:34:28.6 -\& 29:03:57.0N 102:39:34.8E 177:07:35.2 -\& 15:13:18.6N 103:22:08.0E 177:23:44.7 -\& 01:21:33.0N 103:59:22.0E 177:29:09.2 -.Ve -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fIGeoConvert\fR\|(1). -.PP -An online version of this utility is availbable at -. -.PP -The algorithms are described in C. F. F. Karney, -\&\fIAlgorithms for geodesics\fR, J. Geodesy 87, 43\-55 (2013); \s-1DOI:\s0 -; -addenda: . -.PP -The Wikipedia page, Geodesics on an ellipsoid, -. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGeodSolve\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGeodSolve\fR was added to GeographicLib, -, in 2009\-03. Prior to version -1.30, it was called \fBGeod\fR. (The name was changed to avoid a conflict -with the \fBgeod\fR utility in \fIproj.4\fR.) diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.1.html b/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.1.html deleted file mode 100644 index 31f5d291c3b73e6557307fe4dda7e43d945979bc..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.1.html +++ /dev/null @@ -1,333 +0,0 @@ - - - - -GeodSolve(1) - - - - - - - - -

NAME

- -

GeodSolve -- perform geodesic calculations

- -

SYNOPSIS

- -

GeodSolve [ -i | -L lat1 lon1 azi1 | -D lat1 lon1 azi1 s13 | -I lat1 lon1 lat3 lon3 ] [ -a ] [ -e a f ] [ -u ] [ -F ] [ -d | -: ] [ -w ] [ -b ] [ -f ] [ -p prec ] [ -E ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

The shortest path between two points on the ellipsoid at (lat1, lon1) and (lat2, lon2) is called the geodesic. Its length is s12 and the geodesic from point 1 to point 2 has forward azimuths azi1 and azi2 at the two end points.

- -

GeodSolve operates in one of three modes:

- -
    - -

  1. By default, GeodSolve accepts lines on the standard input containing lat1 lon1 azi1 s12 and prints lat2 lon2 azi2 on standard output. This is the direct geodesic calculation.

    - -
    2. -

  2. With the -i command line argument, GeodSolve performs the inverse geodesic calculation. It reads lines containing lat1 lon1 lat2 lon2 and prints the corresponding values of azi1 azi2 s12.

    - -
    3. -

  3. Command line arguments -L lat1 lon1 azi1 specify a geodesic line. GeodSolve then accepts a sequence of s12 values (one per line) on standard input and prints lat2 lon2 azi2 for each. This generates a sequence of points on a single geodesic. Command line arguments -D and -I work similarly with the geodesic line defined in terms of a direct or inverse geodesic calculation, respectively.

    - -
    4. -
- -

OPTIONS

- -
- -
-i
-
- -

perform an inverse geodesic calculation (see 2 above).

- -
-
-L lat1 lon1 azi1
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 azi1. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -L. (-l is an alternative, deprecated, spelling of this flag.)

- -
-
-D lat1 lon1 azi1 s13
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 azi1 s13. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -D. Similarly, the -a flag can be used to change the interpretation of s13 to a13, provided that it appears before -D.

- -
-
-I lat1 lon1 lat3 lon3
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 lat3 lon3. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -I.

- -
-
-a
-
- -

toggle the arc mode flag (it starts off); if this flag is on, then on input and output s12 is replaced by a12 the arc length (in degrees) on the auxiliary sphere. See "AUXILIARY SPHERE".

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-u
-
- -

unroll the longitude. Normally, on output longitudes are reduced to lie in [-180deg,180deg). However with this option, the returned longitude lon2 is "unrolled" so that lon2 - lon1 indicates how often and in what sense the geodesic has encircled the earth. Use the -f option, to get both longitudes printed.

- -
-
-F
-
- -

fractional mode. This only has any effect with the -D and -I options (and is otherwise ignored). The values read on standard input are interpreted as fractional distances to point 3, i.e., as s12/s13 instead of s12. If arc mode is in effect, then the values denote fractional arc length, i.e., a12/a13. The fractional distances can be entered as a simple fraction, e.g., 3/4.

- -
-
-d
-
- -

output angles as degrees, minutes, seconds instead of decimal degrees.

- -
-
-:
-
- -

like -d, except use : as a separator instead of the d, ', and " delimiters.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-b
-
- -

report the back azimuth at point 2 instead of the forward azimuth.

- -
-
-f
-
- -

full output; each line of output consists of 12 quantities: lat1 lon1 azi1 lat2 lon2 azi2 s12 a12 m12 M12 M21 S12. a12 is described in "AUXILIARY SPHERE". The four quantities m12, M12, M21, and S12 are described in "ADDITIONAL QUANTITIES".

- -
-
-p prec
-
- -

set the output precision to prec (default 3); prec is the precision relative to 1 m. See "PRECISION".

- -
-
-E
-
- -

use "exact" algorithms (based on elliptic integrals) for the geodesic calculations. These are more accurate than the (default) series expansions for |f| > 0.02.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

INPUT

- -

GeodSolve measures all angles in degrees and all lengths (s12) in meters, and all areas (S12) in meters^2. On input angles (latitude, longitude, azimuth, arc length) can be as decimal degrees or degrees, minutes, seconds. For example, 40d30, 40d30', 40:30, 40.5d, and 40.5 are all equivalent. By default, latitude precedes longitude for each point (the -w flag switches this convention); however on input either may be given first by appending (or prepending) N or S to the latitude and E or W to the longitude. Azimuths are measured clockwise from north; however this may be overridden with E or W.

- -

For details on the allowed formats for angles, see the GEOGRAPHIC COORDINATES section of GeoConvert(1).

- -

AUXILIARY SPHERE

- -

Geodesics on the ellipsoid can be transferred to the auxiliary sphere on which the distance is measured in terms of the arc length a12 (measured in degrees) instead of s12. In terms of a12, 180 degrees is the distance from one equator crossing to the next or from the minimum latitude to the maximum latitude. Geodesics with a12 > 180 degrees do not correspond to shortest paths. With the -a flag, s12 (on both input and output) is replaced by a12. The -a flag does not affect the full output given by the -f flag (which always includes both s12 and a12).

- -

ADDITIONAL QUANTITIES

- -

The -f flag reports four additional quantities.

- -

The reduced length of the geodesic, m12, is defined such that if the initial azimuth is perturbed by dazi1 (radians) then the second point is displaced by m12 dazi1 in the direction perpendicular to the geodesic. m12 is given in meters. On a curved surface the reduced length obeys a symmetry relation, m12 + m21 = 0. On a flat surface, we have m12 = s12.

- -

M12 and M21 are geodesic scales. If two geodesics are parallel at point 1 and separated by a small distance dt, then they are separated by a distance M12 dt at point 2. M21 is defined similarly (with the geodesics being parallel to one another at point 2). M12 and M21 are dimensionless quantities. On a flat surface, we have M12 = M21 = 1.

- -

If points 1, 2, and 3 lie on a single geodesic, then the following addition rules hold:

- -
   s13 = s12 + s23,
-   a13 = a12 + a23,
-   S13 = S12 + S23,
-   m13 = m12 M23 + m23 M21,
-   M13 = M12 M23 - (1 - M12 M21) m23 / m12,
-   M31 = M32 M21 - (1 - M23 M32) m12 / m23.
- -

Finally, S12 is the area between the geodesic from point 1 to point 2 and the equator; i.e., it is the area, measured counter-clockwise, of the geodesic quadrilateral with corners (lat1,lon1), (0,lon1), (0,lon2), and (lat2,lon2). It is given in meters^2.

- -

PRECISION

- -

prec gives precision of the output with prec = 0 giving 1 m precision, prec = 3 giving 1 mm precision, etc. prec is the number of digits after the decimal point for lengths. For decimal degrees, the number of digits after the decimal point is prec + 5. For DMS (degree, minute, seconds) output, the number of digits after the decimal point in the seconds component is prec + 1. The minimum value of prec is 0 and the maximum is 10.

- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeodSolve to return an exit code of 1. However, an error does not cause GeodSolve to terminate; following lines will be converted.

- -

ACCURACY

- -

Using the (default) series solution, GeodSolve is accurate to about 15 nm (15 nanometers) for the WGS84 ellipsoid. The approximate maximum error (expressed as a distance) for an ellipsoid with the same equatorial radius as the WGS84 ellipsoid and different values of the flattening is

- -
   |f|     error
-   0.01    25 nm
-   0.02    30 nm
-   0.05    10 um
-   0.1    1.5 mm
-   0.2    300 mm
- -

If -E is specified, GeodSolve is accurate to about 40 nm (40 nanometers) for the WGS84 ellipsoid. The approximate maximum error (expressed as a distance) for an ellipsoid with a quarter meridian of 10000 km and different values of the a/b = 1 - f is

- -
   1-f    error (nm)
-   1/128   387
-   1/64    345
-   1/32    269
-   1/16    210
-   1/8     115
-   1/4      69
-   1/2      36
-     1      15
-     2      25
-     4      96
-     8     318
-    16     985
-    32    2352
-    64    6008
-   128   19024
- -

MULTIPLE SOLUTIONS

- -

The shortest distance returned for the inverse problem is (obviously) uniquely defined. However, in a few special cases there are multiple azimuths which yield the same shortest distance. Here is a catalog of those cases:

- -
- -
lat1 = -lat2 (with neither point at a pole)
-
- -

If azi1 = azi2, the geodesic is unique. Otherwise there are two geodesics and the second one is obtained by setting [azi1,azi2] = [azi2,azi1], [M12,M21] = [M21,M12], S12 = -S12. (This occurs when the longitude difference is near +/-180 for oblate ellipsoids.)

- -
-
lon2 = lon1 +/- 180 (with neither point at a pole)
-
- -

If azi1 = 0 or +/-180, the geodesic is unique. Otherwise there are two geodesics and the second one is obtained by setting [azi1,azi2] = [-azi1,-azi2], S12 = -S12. (This occurs when lat2 is near -lat1 for prolate ellipsoids.)

- -
-
Points 1 and 2 at opposite poles
-
- -

There are infinitely many geodesics which can be generated by setting [azi1,azi2] = [azi1,azi2] + [d,-d], for arbitrary d. (For spheres, this prescription applies when points 1 and 2 are antipodal.)

- -
-
s12 = 0 (coincident points)
-
- -

There are infinitely many geodesics which can be generated by setting [azi1,azi2] = [azi1,azi2] + [d,d], for arbitrary d.

- -
-
- -

EXAMPLES

- -

Route from JFK Airport to Singapore Changi Airport:

- -
   echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E |
-   GeodSolve -i -: -p 0
-
-   003:18:29.9 177:29:09.2 15347628
- -

Equally spaced waypoints on the route:

- -
   for ((i = 0; i <= 10; ++i)); do echo $i/10; done |
-   GeodSolve -I 40:38:23N 073:46:44W 01:21:33N 103:59:22E -F -: -p 0
-
-   40:38:23.0N 073:46:44.0W 003:18:29.9
-   54:24:51.3N 072:25:39.6W 004:18:44.1
-   68:07:37.7N 069:40:42.9W 006:44:25.4
-   81:38:00.4N 058:37:53.9W 017:28:52.7
-   83:43:26.0N 080:37:16.9E 156:26:00.4
-   70:20:29.2N 097:01:29.4E 172:31:56.4
-   56:38:36.0N 100:14:47.6E 175:26:10.5
-   42:52:37.1N 101:43:37.2E 176:34:28.6
-   29:03:57.0N 102:39:34.8E 177:07:35.2
-   15:13:18.6N 103:22:08.0E 177:23:44.7
-   01:21:33.0N 103:59:22.0E 177:29:09.2
- -

SEE ALSO

- -

GeoConvert(1).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeodSolve.

- -

The algorithms are described in C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI: https://doi.org/10.1007/s00190-012-0578-z; addenda: https://geographiclib.sourceforge.io/geod-addenda.html.

- -

The Wikipedia page, Geodesics on an ellipsoid, https://en.wikipedia.org/wiki/Geodesics_on_an_ellipsoid.

- -

AUTHOR

- -

GeodSolve was written by Charles Karney.

- -

HISTORY

- -

GeodSolve was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-03. Prior to version 1.30, it was called Geod. (The name was changed to avoid a conflict with the geod utility in proj.4.)

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.usage b/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.usage deleted file mode 100644 index 38f2c9c9b073a39063fa6d0a5b3fcde3d4288cf1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeodSolve.usage +++ /dev/null @@ -1,339 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" GeodSolve [ -i | -L lat1 lon1 azi1 | -D lat1 lon1 azi1 s13 | -I lat1\n" -" lon1 lat3 lon3 ] [ -a ] [ -e a f ] [ -u ] [ -F ] [ -d | -: ] [ -w ] [\n" -" -b ] [ -f ] [ -p prec ] [ -E ] [ --comment-delimiter commentdelim ] [\n" -" --version | -h | --help ] [ --input-file infile | --input-string\n" -" instring ] [ --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" GeodSolve --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/GeodSolve.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" GeodSolve -- perform geodesic calculations\n" -"\n" -"SYNOPSIS\n" -" GeodSolve [ -i | -L lat1 lon1 azi1 | -D lat1 lon1 azi1 s13 | -I lat1\n" -" lon1 lat3 lon3 ] [ -a ] [ -e a f ] [ -u ] [ -F ] [ -d | -: ] [ -w ] [\n" -" -b ] [ -f ] [ -p prec ] [ -E ] [ --comment-delimiter commentdelim ] [\n" -" --version | -h | --help ] [ --input-file infile | --input-string\n" -" instring ] [ --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" The shortest path between two points on the ellipsoid at (lat1, lon1)\n" -" and (lat2, lon2) is called the geodesic. Its length is s12 and the\n" -" geodesic from point 1 to point 2 has forward azimuths azi1 and azi2 at\n" -" the two end points.\n" -"\n" -" GeodSolve operates in one of three modes:\n" -"\n" -" 1. By default, GeodSolve accepts lines on the standard input\n" -" containing lat1 lon1 azi1 s12 and prints lat2 lon2 azi2 on standard\n" -" output. This is the direct geodesic calculation.\n" -"\n" -" 2. With the -i command line argument, GeodSolve performs the inverse\n" -" geodesic calculation. It reads lines containing lat1 lon1 lat2\n" -" lon2 and prints the corresponding values of azi1 azi2 s12.\n" -"\n" -" 3. Command line arguments -L lat1 lon1 azi1 specify a geodesic line.\n" -" GeodSolve then accepts a sequence of s12 values (one per line) on\n" -" standard input and prints lat2 lon2 azi2 for each. This generates\n" -" a sequence of points on a single geodesic. Command line arguments\n" -" -D and -I work similarly with the geodesic line defined in terms of\n" -" a direct or inverse geodesic calculation, respectively.\n" -"\n" -"OPTIONS\n" -" -i perform an inverse geodesic calculation (see 2 above).\n" -"\n" -" -L lat1 lon1 azi1\n" -" line mode (see 3 above); generate a sequence of points along the\n" -" geodesic specified by lat1 lon1 azi1. The -w flag can be used to\n" -" swap the default order of the 2 geographic coordinates, provided\n" -" that it appears before -L. (-l is an alternative, deprecated,\n" -" spelling of this flag.)\n" -"\n" -" -D lat1 lon1 azi1 s13\n" -" line mode (see 3 above); generate a sequence of points along the\n" -" geodesic specified by lat1 lon1 azi1 s13. The -w flag can be used\n" -" to swap the default order of the 2 geographic coordinates, provided\n" -" that it appears before -D. Similarly, the -a flag can be used to\n" -" change the interpretation of s13 to a13, provided that it appears\n" -" before -D.\n" -"\n" -" -I lat1 lon1 lat3 lon3\n" -" line mode (see 3 above); generate a sequence of points along the\n" -" geodesic specified by lat1 lon1 lat3 lon3. The -w flag can be used\n" -" to swap the default order of the 2 geographic coordinates, provided\n" -" that it appears before -I.\n" -"\n" -" -a toggle the arc mode flag (it starts off); if this flag is on, then\n" -" on input and output s12 is replaced by a12 the arc length (in\n" -" degrees) on the auxiliary sphere. See \"AUXILIARY SPHERE\".\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -u unroll the longitude. Normally, on output longitudes are reduced\n" -" to lie in [-180deg,180deg). However with this option, the returned\n" -" longitude lon2 is \"unrolled\" so that lon2 - lon1 indicates how\n" -" often and in what sense the geodesic has encircled the earth. Use\n" -" the -f option, to get both longitudes printed.\n" -"\n" -" -F fractional mode. This only has any effect with the -D and -I\n" -" options (and is otherwise ignored). The values read on standard\n" -" input are interpreted as fractional distances to point 3, i.e., as\n" -" s12/s13 instead of s12. If arc mode is in effect, then the values\n" -" denote fractional arc length, i.e., a12/a13. The fractional\n" -" distances can be entered as a simple fraction, e.g., 3/4.\n" -"\n" -" -d output angles as degrees, minutes, seconds instead of decimal\n" -" degrees.\n" -"\n" -" -: like -d, except use : as a separator instead of the d, ', and \"\n" -" delimiters.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -b report the back azimuth at point 2 instead of the forward azimuth.\n" -"\n" -" -f full output; each line of output consists of 12 quantities: lat1\n" -" lon1 azi1 lat2 lon2 azi2 s12 a12 m12 M12 M21 S12. a12 is described\n" -" in \"AUXILIARY SPHERE\". The four quantities m12, M12, M21, and S12\n" -" are described in \"ADDITIONAL QUANTITIES\".\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 3); prec is the precision\n" -" relative to 1 m. See \"PRECISION\".\n" -"\n" -" -E use \"exact\" algorithms (based on elliptic integrals) for the\n" -" geodesic calculations. These are more accurate than the (default)\n" -" series expansions for |f| > 0.02.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"INPUT\n" -" GeodSolve measures all angles in degrees and all lengths (s12) in\n" -" meters, and all areas (S12) in meters^2. On input angles (latitude,\n" -" longitude, azimuth, arc length) can be as decimal degrees or degrees,\n" -" minutes, seconds. For example, \"40d30\", \"40d30'\", \"40:30\", \"40.5d\",\n" -" and 40.5 are all equivalent. By default, latitude precedes longitude\n" -" for each point (the -w flag switches this convention); however on input\n" -" either may be given first by appending (or prepending) N or S to the\n" -" latitude and E or W to the longitude. Azimuths are measured clockwise\n" -" from north; however this may be overridden with E or W.\n" -"\n" -" For details on the allowed formats for angles, see the \"GEOGRAPHIC\n" -" COORDINATES\" section of GeoConvert(1).\n" -"\n" -"AUXILIARY SPHERE\n" -" Geodesics on the ellipsoid can be transferred to the auxiliary sphere\n" -" on which the distance is measured in terms of the arc length a12\n" -" (measured in degrees) instead of s12. In terms of a12, 180 degrees is\n" -" the distance from one equator crossing to the next or from the minimum\n" -" latitude to the maximum latitude. Geodesics with a12 > 180 degrees do\n" -" not correspond to shortest paths. With the -a flag, s12 (on both input\n" -" and output) is replaced by a12. The -a flag does not affect the full\n" -" output given by the -f flag (which always includes both s12 and a12).\n" -"\n" -"ADDITIONAL QUANTITIES\n" -" The -f flag reports four additional quantities.\n" -"\n" -" The reduced length of the geodesic, m12, is defined such that if the\n" -" initial azimuth is perturbed by dazi1 (radians) then the second point\n" -" is displaced by m12 dazi1 in the direction perpendicular to the\n" -" geodesic. m12 is given in meters. On a curved surface the reduced\n" -" length obeys a symmetry relation, m12 + m21 = 0. On a flat surface, we\n" -" have m12 = s12.\n" -"\n" -" M12 and M21 are geodesic scales. If two geodesics are parallel at\n" -" point 1 and separated by a small distance dt, then they are separated\n" -" by a distance M12 dt at point 2. M21 is defined similarly (with the\n" -" geodesics being parallel to one another at point 2). M12 and M21 are\n" -" dimensionless quantities. On a flat surface, we have M12 = M21 = 1.\n" -"\n" -" If points 1, 2, and 3 lie on a single geodesic, then the following\n" -" addition rules hold:\n" -"\n" -" s13 = s12 + s23,\n" -" a13 = a12 + a23,\n" -" S13 = S12 + S23,\n" -" m13 = m12 M23 + m23 M21,\n" -" M13 = M12 M23 - (1 - M12 M21) m23 / m12,\n" -" M31 = M32 M21 - (1 - M23 M32) m12 / m23.\n" -"\n" -" Finally, S12 is the area between the geodesic from point 1 to point 2\n" -" and the equator; i.e., it is the area, measured counter-clockwise, of\n" -" the geodesic quadrilateral with corners (lat1,lon1), (0,lon1),\n" -" (0,lon2), and (lat2,lon2). It is given in meters^2.\n" -"\n" -"PRECISION\n" -" prec gives precision of the output with prec = 0 giving 1 m precision,\n" -" prec = 3 giving 1 mm precision, etc. prec is the number of digits\n" -" after the decimal point for lengths. For decimal degrees, the number\n" -" of digits after the decimal point is prec + 5. For DMS (degree,\n" -" minute, seconds) output, the number of digits after the decimal point\n" -" in the seconds component is prec + 1. The minimum value of prec is 0\n" -" and the maximum is 10.\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes GeodSolve to return an exit code of\n" -" 1. However, an error does not cause GeodSolve to terminate; following\n" -" lines will be converted.\n" -"\n" -"ACCURACY\n" -" Using the (default) series solution, GeodSolve is accurate to about 15\n" -" nm (15 nanometers) for the WGS84 ellipsoid. The approximate maximum\n" -" error (expressed as a distance) for an ellipsoid with the same\n" -" equatorial radius as the WGS84 ellipsoid and different values of the\n" -" flattening is\n" -"\n" -" |f| error\n" -" 0.01 25 nm\n" -" 0.02 30 nm\n" -" 0.05 10 um\n" -" 0.1 1.5 mm\n" -" 0.2 300 mm\n" -"\n" -" If -E is specified, GeodSolve is accurate to about 40 nm (40\n" -" nanometers) for the WGS84 ellipsoid. The approximate maximum error\n" -" (expressed as a distance) for an ellipsoid with a quarter meridian of\n" -" 10000 km and different values of the a/b = 1 - f is\n" -"\n" -" 1-f error (nm)\n" -" 1/128 387\n" -" 1/64 345\n" -" 1/32 269\n" -" 1/16 210\n" -" 1/8 115\n" -" 1/4 69\n" -" 1/2 36\n" -" 1 15\n" -" 2 25\n" -" 4 96\n" -" 8 318\n" -" 16 985\n" -" 32 2352\n" -" 64 6008\n" -" 128 19024\n" -"\n" -"MULTIPLE SOLUTIONS\n" -" The shortest distance returned for the inverse problem is (obviously)\n" -" uniquely defined. However, in a few special cases there are multiple\n" -" azimuths which yield the same shortest distance. Here is a catalog of\n" -" those cases:\n" -"\n" -" lat1 = -lat2 (with neither point at a pole)\n" -" If azi1 = azi2, the geodesic is unique. Otherwise there are two\n" -" geodesics and the second one is obtained by setting [azi1,azi2] =\n" -" [azi2,azi1], [M12,M21] = [M21,M12], S12 = -S12. (This occurs when\n" -" the longitude difference is near +/-180 for oblate ellipsoids.)\n" -"\n" -" lon2 = lon1 +/- 180 (with neither point at a pole)\n" -" If azi1 = 0 or +/-180, the geodesic is unique. Otherwise there are\n" -" two geodesics and the second one is obtained by setting [azi1,azi2]\n" -" = [-azi1,-azi2], S12 = -S12. (This occurs when lat2 is near -lat1\n" -" for prolate ellipsoids.)\n" -"\n" -" Points 1 and 2 at opposite poles\n" -" There are infinitely many geodesics which can be generated by\n" -" setting [azi1,azi2] = [azi1,azi2] + [d,-d], for arbitrary d. (For\n" -" spheres, this prescription applies when points 1 and 2 are\n" -" antipodal.)\n" -"\n" -" s12 = 0 (coincident points)\n" -" There are infinitely many geodesics which can be generated by\n" -" setting [azi1,azi2] = [azi1,azi2] + [d,d], for arbitrary d.\n" -"\n" -"EXAMPLES\n" -" Route from JFK Airport to Singapore Changi Airport:\n" -"\n" -" echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E |\n" -" GeodSolve -i -: -p 0\n" -"\n" -" 003:18:29.9 177:29:09.2 15347628\n" -"\n" -" Equally spaced waypoints on the route:\n" -"\n" -" for ((i = 0; i <= 10; ++i)); do echo $i/10; done |\n" -" GeodSolve -I 40:38:23N 073:46:44W 01:21:33N 103:59:22E -F -: -p 0\n" -"\n" -" 40:38:23.0N 073:46:44.0W 003:18:29.9\n" -" 54:24:51.3N 072:25:39.6W 004:18:44.1\n" -" 68:07:37.7N 069:40:42.9W 006:44:25.4\n" -" 81:38:00.4N 058:37:53.9W 017:28:52.7\n" -" 83:43:26.0N 080:37:16.9E 156:26:00.4\n" -" 70:20:29.2N 097:01:29.4E 172:31:56.4\n" -" 56:38:36.0N 100:14:47.6E 175:26:10.5\n" -" 42:52:37.1N 101:43:37.2E 176:34:28.6\n" -" 29:03:57.0N 102:39:34.8E 177:07:35.2\n" -" 15:13:18.6N 103:22:08.0E 177:23:44.7\n" -" 01:21:33.0N 103:59:22.0E 177:29:09.2\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1).\n" -"\n" -" An online version of this utility is availbable at\n" -" .\n" -"\n" -" The algorithms are described in C. F. F. Karney, Algorithms for\n" -" geodesics, J. Geodesy 87, 43-55 (2013); DOI:\n" -" ; addenda:\n" -" .\n" -"\n" -" The Wikipedia page, Geodesics on an ellipsoid,\n" -" .\n" -"\n" -"AUTHOR\n" -" GeodSolve was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" GeodSolve was added to GeographicLib,\n" -" , in 2009-03. Prior to version\n" -" 1.30, it was called Geod. (The name was changed to avoid a conflict\n" -" with the geod utility in proj.4.)\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.1 b/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.1 deleted file mode 100644 index 0068a4864316a331d01d0bc27b2d8bc3898809a7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.1 +++ /dev/null @@ -1,273 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Of course, you'll have to process the -.\" output yourself in some meaningful fashion. -.\" -.\" Avoid warning from groff about undefined register 'F'. -.de IX -.. -.if !\nF .nr F 0 -.if \nF>0 \{\ -. de IX -. tm Index:\\$1\t\\n%\t"\\$2" -.. -. if !\nF==2 \{\ -. nr % 0 -. nr F 2 -. \} -.\} -.\" -.\" Accent mark definitions (@(#)ms.acc 1.5 88/02/08 SMI; from UCB 4.2). -.\" Fear. Run. Save yourself. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -GeodesicProj \-\- perform projections based on geodesics -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGeodesicProj\fR ( \fB\-z\fR | \fB\-c\fR | \fB\-g\fR ) \fIlat0\fR \fIlon0\fR [ \fB\-r\fR ] -[ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -Perform projections based on geodesics. Convert geodetic coordinates to -either azimuthal equidistant, Cassini-Soldner, or gnomonic coordinates. -The center of the projection (\fIlat0\fR, \fIlon0\fR) is specified by either -the \fB\-c\fR option (for Cassini-Soldner), the \fB\-z\fR option (for azimuthal -equidistant), or the \fB\-g\fR option (for gnomonic). At least one of these -options must be given (the last one given is used). -.PP -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) \fIlatitude\fR and \fIlongitude\fR (decimal -degrees or degrees, minutes, seconds); for details on the allowed -formats for latitude and longitude, see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR -section of \fIGeoConvert\fR\|(1). For each set of geodetic coordinates, the -corresponding projected coordinates \fIx\fR, \fIy\fR (meters) are printed on -standard output together with the azimuth \fIazi\fR (degrees) and -reciprocal scale \fIrk\fR. For Cassini-Soldner, \fIazi\fR is the bearing of -the easting direction and the scale in the easting direction is 1 and -the scale in the northing direction is 1/\fIrk\fR. For azimuthal -equidistant and gnomonic, \fIazi\fR is the bearing of the radial direction -and the scale in the azimuthal direction is 1/\fIrk\fR. For azimuthal -equidistant and gnomonic, the scales in the radial direction are 1 and -1/\fIrk\fR^2, respectively. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-z\fR \fIlat0\fR \fIlon0\fR" 4 -.IX Item "-z lat0 lon0" -use the azimuthal equidistant projection centered at latitude = \fIlat0\fR, -longitude = \fIlon0\fR. The \fB\-w\fR flag can be used to swap the default -order of the 2 coordinates, provided that it appears before \fB\-z\fR. -.IP "\fB\-c\fR \fIlat0\fR \fIlon0\fR" 4 -.IX Item "-c lat0 lon0" -use the Cassini-Soldner projection centered at latitude = \fIlat0\fR, -longitude = \fIlon0\fR. The \fB\-w\fR flag can be used to swap the default -order of the 2 coordinates, provided that it appears before \fB\-c\fR. -.IP "\fB\-g\fR \fIlat0\fR \fIlon0\fR" 4 -.IX Item "-g lat0 lon0" -use the ellipsoidal gnomonic projection centered at latitude = \fIlat0\fR, -longitude = \fIlon0\fR. The \fB\-w\fR flag can be used to swap the default -order of the 2 coordinates, provided that it appears before \fB\-g\fR. -.IP "\fB\-r\fR" 4 -.IX Item "-r" -perform the reverse projection. \fIx\fR and \fIy\fR are given on standard -input and each line of standard output gives \fIlatitude\fR, \fIlongitude\fR, -\&\fIazi\fR, and \fIrk\fR. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 6). \fIprec\fR is the number -of digits after the decimal point for lengths (in meters). For -latitudes, longitudes, and azimuths (in degrees), the number of digits -after the decimal point is \fIprec\fR + 5. For the scale, the number of -digits after the decimal point is \fIprec\fR + 6. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 4 -\& echo 48.648 \-2.007 | GeodesicProj \-c 48.836 2.337 -\& => \-319919 \-11791 86.7 0.999 -\& echo \-319919 \-11791 | GeodesicProj \-c 48.836 2.337 \-r -\& => 48.648 \-2.007 86.7 0.999 -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGeodesicProj\fR to return an exit -code of 1. However, an error does not cause \fBGeodesicProj\fR to -terminate; following lines will be converted. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -The ellipsoidal gnomonic projection is derived in Section 8 of -C. F. F. Karney, \fIAlgorithms for geodesics\fR, J. Geodesy 87, 43\-55 (2013); \s-1DOI\s0 -; -addenda: . -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGeodesicProj\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGeodesicProj\fR was added to GeographicLib, -, in 2009\-08. -Prior to version 1.9 it was called EquidistantTest. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.1.html b/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.1.html deleted file mode 100644 index cabc84a0720e0e7389992490635d502af7ee1535..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.1.html +++ /dev/null @@ -1,152 +0,0 @@ - - - - -GeodesicProj(1) - - - - - - - - -

NAME

- -

GeodesicProj -- perform projections based on geodesics

- -

SYNOPSIS

- -

GeodesicProj ( -z | -c | -g ) lat0 lon0 [ -r ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Perform projections based on geodesics. Convert geodetic coordinates to either azimuthal equidistant, Cassini-Soldner, or gnomonic coordinates. The center of the projection (lat0, lon0) is specified by either the -c option (for Cassini-Soldner), the -z option (for azimuthal equidistant), or the -g option (for gnomonic). At least one of these options must be given (the last one given is used).

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude and longitude (decimal degrees or degrees, minutes, seconds); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding projected coordinates x, y (meters) are printed on standard output together with the azimuth azi (degrees) and reciprocal scale rk. For Cassini-Soldner, azi is the bearing of the easting direction and the scale in the easting direction is 1 and the scale in the northing direction is 1/rk. For azimuthal equidistant and gnomonic, azi is the bearing of the radial direction and the scale in the azimuthal direction is 1/rk. For azimuthal equidistant and gnomonic, the scales in the radial direction are 1 and 1/rk^2, respectively.

- -

OPTIONS

- -
- -
-z lat0 lon0
-
- -

use the azimuthal equidistant projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -z.

- -
-
-c lat0 lon0
-
- -

use the Cassini-Soldner projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -c.

- -
-
-g lat0 lon0
-
- -

use the ellipsoidal gnomonic projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -g.

- -
-
-r
-
- -

perform the reverse projection. x and y are given on standard input and each line of standard output gives latitude, longitude, azi, and rk.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for lengths (in meters). For latitudes, longitudes, and azimuths (in degrees), the number of digits after the decimal point is prec + 5. For the scale, the number of digits after the decimal point is prec + 6.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 48.648 -2.007 | GeodesicProj -c 48.836 2.337
-   => -319919 -11791 86.7 0.999
-   echo -319919 -11791 | GeodesicProj -c 48.836 2.337 -r
-   => 48.648 -2.007 86.7 0.999
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeodesicProj to return an exit code of 1. However, an error does not cause GeodesicProj to terminate; following lines will be converted.

- -

SEE ALSO

- -

The ellipsoidal gnomonic projection is derived in Section 8 of C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI https://doi.org/10.1007/s00190-012-0578-z; addenda: https://geographiclib.sourceforge.io/geod-addenda.html.

- -

AUTHOR

- -

GeodesicProj was written by Charles Karney.

- -

HISTORY

- -

GeodesicProj was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-08. Prior to version 1.9 it was called EquidistantTest.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.usage b/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.usage deleted file mode 100644 index e7bf2b7af0d4426a670dd04d4d69fc9be2bef1cb..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeodesicProj.usage +++ /dev/null @@ -1,147 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" GeodesicProj ( -z | -c | -g ) lat0 lon0 [ -r ] [ -e a f ] [ -w ] [ -p\n" -" prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ]\n" -" [ --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" GeodesicProj --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/GeodesicProj.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" GeodesicProj -- perform projections based on geodesics\n" -"\n" -"SYNOPSIS\n" -" GeodesicProj ( -z | -c | -g ) lat0 lon0 [ -r ] [ -e a f ] [ -w ] [ -p\n" -" prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ]\n" -" [ --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" Perform projections based on geodesics. Convert geodetic coordinates\n" -" to either azimuthal equidistant, Cassini-Soldner, or gnomonic\n" -" coordinates. The center of the projection (lat0, lon0) is specified by\n" -" either the -c option (for Cassini-Soldner), the -z option (for\n" -" azimuthal equidistant), or the -g option (for gnomonic). At least one\n" -" of these options must be given (the last one given is used).\n" -"\n" -" Geodetic coordinates are provided on standard input as a set of lines\n" -" containing (blank separated) latitude and longitude (decimal degrees or\n" -" degrees, minutes, seconds); for details on the allowed formats for\n" -" latitude and longitude, see the \"GEOGRAPHIC COORDINATES\" section of\n" -" GeoConvert(1). For each set of geodetic coordinates, the corresponding\n" -" projected coordinates x, y (meters) are printed on standard output\n" -" together with the azimuth azi (degrees) and reciprocal scale rk. For\n" -" Cassini-Soldner, azi is the bearing of the easting direction and the\n" -" scale in the easting direction is 1 and the scale in the northing\n" -" direction is 1/rk. For azimuthal equidistant and gnomonic, azi is the\n" -" bearing of the radial direction and the scale in the azimuthal\n" -" direction is 1/rk. For azimuthal equidistant and gnomonic, the scales\n" -" in the radial direction are 1 and 1/rk^2, respectively.\n" -"\n" -"OPTIONS\n" -" -z lat0 lon0\n" -" use the azimuthal equidistant projection centered at latitude =\n" -" lat0, longitude = lon0. The -w flag can be used to swap the\n" -" default order of the 2 coordinates, provided that it appears before\n" -" -z.\n" -"\n" -" -c lat0 lon0\n" -" use the Cassini-Soldner projection centered at latitude = lat0,\n" -" longitude = lon0. The -w flag can be used to swap the default\n" -" order of the 2 coordinates, provided that it appears before -c.\n" -"\n" -" -g lat0 lon0\n" -" use the ellipsoidal gnomonic projection centered at latitude =\n" -" lat0, longitude = lon0. The -w flag can be used to swap the\n" -" default order of the 2 coordinates, provided that it appears before\n" -" -g.\n" -"\n" -" -r perform the reverse projection. x and y are given on standard\n" -" input and each line of standard output gives latitude, longitude,\n" -" azi, and rk.\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 6). prec is the number\n" -" of digits after the decimal point for lengths (in meters). For\n" -" latitudes, longitudes, and azimuths (in degrees), the number of\n" -" digits after the decimal point is prec + 5. For the scale, the\n" -" number of digits after the decimal point is prec + 6.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"EXAMPLES\n" -" echo 48.648 -2.007 | GeodesicProj -c 48.836 2.337\n" -" => -319919 -11791 86.7 0.999\n" -" echo -319919 -11791 | GeodesicProj -c 48.836 2.337 -r\n" -" => 48.648 -2.007 86.7 0.999\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes GeodesicProj to return an exit code\n" -" of 1. However, an error does not cause GeodesicProj to terminate;\n" -" following lines will be converted.\n" -"\n" -"SEE ALSO\n" -" The ellipsoidal gnomonic projection is derived in Section 8 of C. F. F.\n" -" Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI\n" -" ; addenda:\n" -" .\n" -"\n" -"AUTHOR\n" -" GeodesicProj was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" GeodesicProj was added to GeographicLib,\n" -" , in 2009-08. Prior to version\n" -" 1.9 it was called EquidistantTest.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.1 b/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.1 deleted file mode 100644 index 7a2b66829d90ad94ab0e6d0053613b1660ae5ddf..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.1 +++ /dev/null @@ -1,412 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -GeoidEval \-\- look up geoid heights -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGeoidEval\fR [ \fB\-n\fR \fIname\fR ] [ \fB\-d\fR \fIdir\fR ] [ \fB\-l\fR ] -[ \fB\-a\fR | \fB\-c\fR \fIsouth\fR \fIwest\fR \fInorth\fR \fIeast\fR ] [ \fB\-w\fR ] -[ \fB\-z\fR \fIzone\fR ] [ \fB\-\-msltohae\fR ] [ \fB\-\-haetomsl\fR ] -[ \fB\-v\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -\&\fBGeoidEval\fR reads in positions on standard input and prints out the -corresponding heights of the geoid above the \s-1WGS84\s0 ellipsoid on standard -output. -.PP -Positions are given as latitude and longitude, \s-1UTM/UPS,\s0 or \s-1MGRS,\s0 in any -of the formats accepted by \fIGeoConvert\fR\|(1). (\s-1MGRS\s0 coordinates signify the -\&\fIcenter\fR of the corresponding \s-1MGRS\s0 square.) If the \fB\-z\fR option is -specified then the specified zone is prepended to each line of input -(which must be in \s-1UTM/UPS\s0 coordinates). This allows a file with \s-1UTM\s0 -eastings and northings in a single zone to be used as standard input. -.PP -More accurate results for the geoid height are provided by \fIGravity\fR\|(1). -This utility can also compute the direction of gravity accurately. -.PP -The height of the geoid above the ellipsoid, \fIN\fR, is sometimes called -the geoid undulation. It can be used to convert a height above the -ellipsoid, \fIh\fR, to the corresponding height above the geoid (the -orthometric height, roughly the height above mean sea level), \fIH\fR, -using the relations -.Sp -.RS 4 -\&\fIh\fR = \fIN\fR + \fIH\fR, \ \ \fIH\fR = \-\fIN\fR + \fIh\fR. -.RE -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-n\fR \fIname\fR" 4 -.IX Item "-n name" -use geoid \fIname\fR instead of the default \f(CW\*(C`egm96\-5\*(C'\fR. See -\&\*(L"\s-1GEOIDS\*(R"\s0. -.IP "\fB\-d\fR \fIdir\fR" 4 -.IX Item "-d dir" -read geoid data from \fIdir\fR instead of the default. See -\&\*(L"\s-1GEOIDS\*(R"\s0. -.IP "\fB\-l\fR" 4 -.IX Item "-l" -use bilinear interpolation instead of cubic. See -\&\*(L"\s-1INTERPOLATION\*(R"\s0. -.IP "\fB\-a\fR" 4 -.IX Item "-a" -cache the entire data set in memory. See \*(L"\s-1CACHE\*(R"\s0. -.IP "\fB\-c\fR \fIsouth\fR \fIwest\fR \fInorth\fR \fIeast\fR" 4 -.IX Item "-c south west north east" -cache the data bounded by \fIsouth\fR \fIwest\fR \fInorth\fR \fIeast\fR in memory. -The first two arguments specify the \s-1SW\s0 corner of the cache and the last -two arguments specify the \s-1NE\s0 corner. The \fB\-w\fR flag specifies that -longitude precedes latitude for these corners, provided that it appears -before \fB\-c\fR. See \*(L"\s-1CACHE\*(R"\s0. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -when reading geographic coordinates, longitude precedes latitude (this -can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, \fIW\fR). -.IP "\fB\-z\fR \fIzone\fR" 4 -.IX Item "-z zone" -prefix each line of input by \fIzone\fR, e.g., \f(CW\*(C`38n\*(C'\fR. This should be used -when the input consists of \s-1UTM/UPS\s0 eastings and northings. -.IP "\fB\-\-msltohae\fR" 4 -.IX Item "--msltohae" -standard input should include a final token on each line which is -treated as a height (in meters) above the geoid and the output echoes -the input line with the height converted to height above ellipsoid -(\s-1HAE\s0). If \fB\-z\fR \fIzone\fR is specified then the \fIthird\fR token is treated -as the height; this makes it possible to convert \s-1LIDAR\s0 data where each -line consists of: easting northing height intensity. -.IP "\fB\-\-haetomsl\fR" 4 -.IX Item "--haetomsl" -this is similar to \fB\-\-msltohae\fR except that the height token is treated -as a height (in meters) above the ellipsoid and the output echoes the -input line with the height converted to height above the geoid (\s-1MSL\s0). -.IP "\fB\-v\fR" 4 -.IX Item "-v" -print information about the geoid on standard error before processing -the input. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage, the default geoid path and name, and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "GEOIDS" -.IX Header "GEOIDS" -\&\fBGeoidEval\fR computes geoid heights by interpolating on the data in a -regularly spaced table (see \*(L"\s-1INTERPOLATION\*(R"\s0). The following geoid -tables are available (however, some may not be installed): -.PP -.Vb 9 -\& bilinear error cubic error -\& name geoid grid max rms max rms -\& egm84\-30 EGM84 30\*(Aq 1.546 m 70 mm 0.274 m 14 mm -\& egm84\-15 EGM84 15\*(Aq 0.413 m 18 mm 0.021 m 1.2 mm -\& egm96\-15 EGM96 15\*(Aq 1.152 m 40 mm 0.169 m 7.0 mm -\& egm96\-5 EGM96 5\*(Aq 0.140 m 4.6 mm .0032 m 0.7 mm -\& egm2008\-5 EGM2008 5\*(Aq 0.478 m 12 mm 0.294 m 4.5 mm -\& egm2008\-2_5 EGM2008 2.5\*(Aq 0.135 m 3.2 mm 0.031 m 0.8 mm -\& egm2008\-1 EGM2008 1\*(Aq 0.025 m 0.8 mm .0022 m 0.7 mm -.Ve -.PP -By default, the \f(CW\*(C`egm96\-5\*(C'\fR geoid is used. This may changed by setting -the environment variable \f(CW\*(C`GEOGRAPHICLIB_GEOID_NAME\*(C'\fR or with the \fB\-n\fR -option. The errors listed here are estimates of the quantization and -interpolation errors in the reported heights compared to the specified -geoid. -.PP -The geoid data will be loaded from a directory specified at compile -time. This may changed by setting the environment variables -\&\f(CW\*(C`GEOGRAPHICLIB_GEOID_PATH\*(C'\fR or \f(CW\*(C`GEOGRAPHICLIB_DATA\*(C'\fR, or with the \fB\-d\fR -option. The \fB\-h\fR option prints the default geoid path and name. Use -the \fB\-v\fR option to ascertain the full path name of the data file. -.PP -Instructions for downloading and installing geoid data are available at -. -.PP -\&\fB\s-1NOTE\s0\fR: all the geoids above apply to the \s-1WGS84\s0 ellipsoid (\fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563) only. -.SH "INTERPOLATION" -.IX Header "INTERPOLATION" -Cubic interpolation is used to compute the geoid height unless \fB\-l\fR is -specified in which case bilinear interpolation is used. The cubic -interpolation is based on a least-squares fit of a cubic polynomial to a -12\-point stencil -.PP -.Vb 4 -\& . 1 1 . -\& 1 2 2 1 -\& 1 2 2 1 -\& . 1 1 . -.Ve -.PP -The cubic is constrained to be independent of longitude when evaluating -the height at one of the poles. Cubic interpolation is considerably -more accurate than bilinear; however it results in small discontinuities -in the returned height on cell boundaries. -.SH "CACHE" -.IX Header "CACHE" -By default, the data file is randomly read to compute the geoid heights -at the input positions. Usually this is sufficient for interactive use. -If many heights are to be computed, use \fB\-c\fR \fIsouth\fR \fIwest\fR \fInorth\fR -\&\fIeast\fR to notify \fBGeoidEval\fR to read a rectangle of data into memory; -heights within the this rectangle can then be computed without any disk -access. If \fB\-a\fR is specified all the geoid data is read; in the case -of \f(CW\*(C`egm2008\-1\*(C'\fR, this requires about 0.5 \s-1GB\s0 of \s-1RAM.\s0 The evaluation of -heights outside the cached area causes the necessary data to be read -from disk. Use the \fB\-v\fR option to verify the size of the cache. -.PP -Regardless of whether any cache is requested (with the \fB\-a\fR or \fB\-c\fR -options), the data for the last grid cell in cached. This allows -the geoid height along a continuous path to be returned with little -disk overhead. -.SH "ENVIRONMENT" -.IX Header "ENVIRONMENT" -.IP "\fB\s-1GEOGRAPHICLIB_GEOID_NAME\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_GEOID_NAME" -Override the compile-time default geoid name of \f(CW\*(C`egm96\-5\*(C'\fR. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_GEOID_NAME\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-n\fR \fIname\fR -option is used, then \fIname\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_GEOID_PATH\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_GEOID_PATH" -Override the compile-time default geoid path. This is typically -\&\f(CW\*(C`/usr/local/share/GeographicLib/geoids\*(C'\fR on Unix-like systems and -\&\f(CW\*(C`C:/ProgramData/GeographicLib/geoids\*(C'\fR on Windows systems. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_GEOID_PATH\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-d\fR \fIdir\fR option -is used, then \fIdir\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_DATA\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_DATA" -Another way of overriding the compile-time default geoid path. If it -is set (and if \fB\s-1GEOGRAPHICLIB_GEOID_PATH\s0\fR is not set), then -$\fB\s-1GEOGRAPHICLIB_DATA\s0\fR/geoids is used. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGeoidEval\fR to return an exit code -of 1. However, an error does not cause \fBGeoidEval\fR to terminate; -following lines will be converted. -.SH "ABBREVIATIONS" -.IX Header "ABBREVIATIONS" -The geoid is usually approximated by an \*(L"earth gravity model\*(R". The -models published by the \s-1NGA\s0 are: -.IP "\fB\s-1EGM84\s0\fR" 4 -.IX Item "EGM84" -An earth gravity model published by the \s-1NGA\s0 in 1984, -. -.IP "\fB\s-1EGM96\s0\fR" 4 -.IX Item "EGM96" -An earth gravity model published by the \s-1NGA\s0 in 1996, -. -.IP "\fB\s-1EGM2008\s0\fR" 4 -.IX Item "EGM2008" -An earth gravity model published by the \s-1NGA\s0 in 2008, -. -.IP "\fB\s-1WGS84\s0\fR" 4 -.IX Item "WGS84" -World Geodetic System 1984, -. -.IP "\fB\s-1HAE\s0\fR" 4 -.IX Item "HAE" -Height above the \s-1WGS84\s0 ellipsoid. -.IP "\fB\s-1MSL\s0\fR" 4 -.IX Item "MSL" -Mean sea level, used as a convenient short hand for the geoid. -(However, typically, the geoid differs by a few meters from mean sea -level.) -.SH "EXAMPLES" -.IX Header "EXAMPLES" -The height of the \s-1EGM96\s0 geoid at Timbuktu -.PP -.Vb 2 -\& echo 16:46:33N 3:00:34W | GeoidEval -\& => 28.7068 \-0.02e\-6 \-1.73e\-6 -.Ve -.PP -The first number returned is the height of the geoid and the 2nd and 3rd -are its slopes in the northerly and easterly directions. -.PP -Convert a point in \s-1UTM\s0 zone 18n from \s-1MSL\s0 to \s-1HAE\s0 -.PP -.Vb 2 -\& echo 531595 4468135 23 | GeoidEval \-\-msltohae \-z 18n -\& => 531595 4468135 \-10.842 -.Ve -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fIGeoConvert\fR\|(1), \fIGravity\fR\|(1), \fIgeographiclib\-get\-geoids\fR\|(8). -.PP -An online version of this utility is availbable at -. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGeoidEval\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGeoidEval\fR was added to GeographicLib, -, in 2009\-09. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.1.html b/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.1.html deleted file mode 100644 index 58eb4d63a522f7e8ba35cc833d5eb75cc48de5ae..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.1.html +++ /dev/null @@ -1,296 +0,0 @@ - - - - -GeoidEval(1) - - - - - - - - -

NAME

- -

GeoidEval -- look up geoid heights

- -

SYNOPSIS

- -

GeoidEval [ -n name ] [ -d dir ] [ -l ] [ -a | -c south west north east ] [ -w ] [ -z zone ] [ --msltohae ] [ --haetomsl ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

GeoidEval reads in positions on standard input and prints out the corresponding heights of the geoid above the WGS84 ellipsoid on standard output.

- -

Positions are given as latitude and longitude, UTM/UPS, or MGRS, in any of the formats accepted by GeoConvert(1). (MGRS coordinates signify the center of the corresponding MGRS square.) If the -z option is specified then the specified zone is prepended to each line of input (which must be in UTM/UPS coordinates). This allows a file with UTM eastings and northings in a single zone to be used as standard input.

- -

More accurate results for the geoid height are provided by Gravity(1). This utility can also compute the direction of gravity accurately.

- -

The height of the geoid above the ellipsoid, N, is sometimes called the geoid undulation. It can be used to convert a height above the ellipsoid, h, to the corresponding height above the geoid (the orthometric height, roughly the height above mean sea level), H, using the relations

- -
    - -

    h = N + H,   H = -N + h.

    - -
- -

OPTIONS

- -
- -
-n name
-
- -

use geoid name instead of the default egm96-5. See "GEOIDS".

- -
-
-d dir
-
- -

read geoid data from dir instead of the default. See "GEOIDS".

- -
-
-l
-
- -

use bilinear interpolation instead of cubic. See "INTERPOLATION".

- -
-
-a
-
- -

cache the entire data set in memory. See "CACHE".

- -
-
-c south west north east
-
- -

cache the data bounded by south west north east in memory. The first two arguments specify the SW corner of the cache and the last two arguments specify the NE corner. The -w flag specifies that longitude precedes latitude for these corners, provided that it appears before -c. See "CACHE".

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then when reading geographic coordinates, longitude precedes latitude (this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-z zone
-
- -

prefix each line of input by zone, e.g., 38n. This should be used when the input consists of UTM/UPS eastings and northings.

- -
-
--msltohae
-
- -

standard input should include a final token on each line which is treated as a height (in meters) above the geoid and the output echoes the input line with the height converted to height above ellipsoid (HAE). If -z zone is specified then the third token is treated as the height; this makes it possible to convert LIDAR data where each line consists of: easting northing height intensity.

- -
-
--haetomsl
-
- -

this is similar to --msltohae except that the height token is treated as a height (in meters) above the ellipsoid and the output echoes the input line with the height converted to height above the geoid (MSL).

- -
-
-v
-
- -

print information about the geoid on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default geoid path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

GEOIDS

- -

GeoidEval computes geoid heights by interpolating on the data in a regularly spaced table (see "INTERPOLATION"). The following geoid tables are available (however, some may not be installed):

- -
                                  bilinear error    cubic error
-   name         geoid    grid     max      rms      max      rms
-   egm84-30     EGM84    30'      1.546 m  70 mm    0.274 m  14 mm
-   egm84-15     EGM84    15'      0.413 m  18 mm    0.021 m  1.2 mm
-   egm96-15     EGM96    15'      1.152 m  40 mm    0.169 m  7.0 mm
-   egm96-5      EGM96     5'      0.140 m  4.6 mm   .0032 m  0.7 mm
-   egm2008-5    EGM2008   5'      0.478 m  12 mm    0.294 m  4.5 mm
-   egm2008-2_5  EGM2008   2.5'    0.135 m  3.2 mm   0.031 m  0.8 mm
-   egm2008-1    EGM2008   1'      0.025 m  0.8 mm   .0022 m  0.7 mm
- -

By default, the egm96-5 geoid is used. This may changed by setting the environment variable GEOGRAPHICLIB_GEOID_NAME or with the -n option. The errors listed here are estimates of the quantization and interpolation errors in the reported heights compared to the specified geoid.

- -

The geoid data will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_GEOID_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default geoid path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing geoid data are available at https://geographiclib.sourceforge.io/html/geoid.html#geoidinst.

- -

NOTE: all the geoids above apply to the WGS84 ellipsoid (a = 6378137 m, f = 1/298.257223563) only.

- -

INTERPOLATION

- -

Cubic interpolation is used to compute the geoid height unless -l is specified in which case bilinear interpolation is used. The cubic interpolation is based on a least-squares fit of a cubic polynomial to a 12-point stencil

- -
   . 1 1 .
-   1 2 2 1
-   1 2 2 1
-   . 1 1 .
- -

The cubic is constrained to be independent of longitude when evaluating the height at one of the poles. Cubic interpolation is considerably more accurate than bilinear; however it results in small discontinuities in the returned height on cell boundaries.

- -

CACHE

- -

By default, the data file is randomly read to compute the geoid heights at the input positions. Usually this is sufficient for interactive use. If many heights are to be computed, use -c south west north east to notify GeoidEval to read a rectangle of data into memory; heights within the this rectangle can then be computed without any disk access. If -a is specified all the geoid data is read; in the case of egm2008-1, this requires about 0.5 GB of RAM. The evaluation of heights outside the cached area causes the necessary data to be read from disk. Use the -v option to verify the size of the cache.

- -

Regardless of whether any cache is requested (with the -a or -c options), the data for the last grid cell in cached. This allows the geoid height along a continuous path to be returned with little disk overhead.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_GEOID_NAME
-
- -

Override the compile-time default geoid name of egm96-5. The -h option reports the value of GEOGRAPHICLIB_GEOID_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_GEOID_PATH
-
- -

Override the compile-time default geoid path. This is typically /usr/local/share/GeographicLib/geoids on Unix-like systems and C:/ProgramData/GeographicLib/geoids on Windows systems. The -h option reports the value of GEOGRAPHICLIB_GEOID_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default geoid path. If it is set (and if GEOGRAPHICLIB_GEOID_PATH is not set), then $GEOGRAPHICLIB_DATA/geoids is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeoidEval to return an exit code of 1. However, an error does not cause GeoidEval to terminate; following lines will be converted.

- -

ABBREVIATIONS

- -

The geoid is usually approximated by an "earth gravity model". The models published by the NGA are:

- -
- -
EGM84
-
- -

An earth gravity model published by the NGA in 1984, http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html.

- -
-
EGM96
-
- -

An earth gravity model published by the NGA in 1996, http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html.

- -
-
EGM2008
-
- -

An earth gravity model published by the NGA in 2008, http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008.

- -
-
WGS84
-
- -

World Geodetic System 1984, https://en.wikipedia.org/wiki/WGS84.

- -
-
HAE
-
- -

Height above the WGS84 ellipsoid.

- -
-
MSL
-
- -

Mean sea level, used as a convenient short hand for the geoid. (However, typically, the geoid differs by a few meters from mean sea level.)

- -
-
- -

EXAMPLES

- -

The height of the EGM96 geoid at Timbuktu

- -
    echo 16:46:33N 3:00:34W | GeoidEval
-    => 28.7068 -0.02e-6 -1.73e-6
- -

The first number returned is the height of the geoid and the 2nd and 3rd are its slopes in the northerly and easterly directions.

- -

Convert a point in UTM zone 18n from MSL to HAE

- -
   echo 531595 4468135 23 | GeoidEval --msltohae -z 18n
-   => 531595 4468135 -10.842
- -

SEE ALSO

- -

GeoConvert(1), Gravity(1), geographiclib-get-geoids(8).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeoidEval.

- -

AUTHOR

- -

GeoidEval was written by Charles Karney.

- -

HISTORY

- -

GeoidEval was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-09.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.usage b/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.usage deleted file mode 100644 index d89ee5a8f0eeec933d5815dbd4a7420d0ac7a51e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/GeoidEval.usage +++ /dev/null @@ -1,270 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" GeoidEval [ -n name ] [ -d dir ] [ -l ] [ -a | -c south west north east\n" -" ] [ -w ] [ -z zone ] [ --msltohae ] [ --haetomsl ] [ -v ] [\n" -" --comment-delimiter commentdelim ] [ --version | -h | --help ] [\n" -" --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" GeoidEval --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/GeoidEval.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" GeoidEval -- look up geoid heights\n" -"\n" -"SYNOPSIS\n" -" GeoidEval [ -n name ] [ -d dir ] [ -l ] [ -a | -c south west north east\n" -" ] [ -w ] [ -z zone ] [ --msltohae ] [ --haetomsl ] [ -v ] [\n" -" --comment-delimiter commentdelim ] [ --version | -h | --help ] [\n" -" --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" GeoidEval reads in positions on standard input and prints out the\n" -" corresponding heights of the geoid above the WGS84 ellipsoid on\n" -" standard output.\n" -"\n" -" Positions are given as latitude and longitude, UTM/UPS, or MGRS, in any\n" -" of the formats accepted by GeoConvert(1). (MGRS coordinates signify\n" -" the center of the corresponding MGRS square.) If the -z option is\n" -" specified then the specified zone is prepended to each line of input\n" -" (which must be in UTM/UPS coordinates). This allows a file with UTM\n" -" eastings and northings in a single zone to be used as standard input.\n" -"\n" -" More accurate results for the geoid height are provided by Gravity(1).\n" -" This utility can also compute the direction of gravity accurately.\n" -"\n" -" The height of the geoid above the ellipsoid, N, is sometimes called the\n" -" geoid undulation. It can be used to convert a height above the\n" -" ellipsoid, h, to the corresponding height above the geoid (the\n" -" orthometric height, roughly the height above mean sea level), H, using\n" -" the relations\n" -"\n" -" h = N + H, H = -N + h.\n" -"\n" -"OPTIONS\n" -" -n name\n" -" use geoid name instead of the default \"egm96-5\". See \"GEOIDS\".\n" -"\n" -" -d dir\n" -" read geoid data from dir instead of the default. See \"GEOIDS\".\n" -"\n" -" -l use bilinear interpolation instead of cubic. See \"INTERPOLATION\".\n" -"\n" -" -a cache the entire data set in memory. See \"CACHE\".\n" -"\n" -" -c south west north east\n" -" cache the data bounded by south west north east in memory. The\n" -" first two arguments specify the SW corner of the cache and the last\n" -" two arguments specify the NE corner. The -w flag specifies that\n" -" longitude precedes latitude for these corners, provided that it\n" -" appears before -c. See \"CACHE\".\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then when reading geographic coordinates, longitude precedes\n" -" latitude (this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -z zone\n" -" prefix each line of input by zone, e.g., \"38n\". This should be\n" -" used when the input consists of UTM/UPS eastings and northings.\n" -"\n" -" --msltohae\n" -" standard input should include a final token on each line which is\n" -" treated as a height (in meters) above the geoid and the output\n" -" echoes the input line with the height converted to height above\n" -" ellipsoid (HAE). If -z zone is specified then the third token is\n" -" treated as the height; this makes it possible to convert LIDAR data\n" -" where each line consists of: easting northing height intensity.\n" -"\n" -" --haetomsl\n" -" this is similar to --msltohae except that the height token is\n" -" treated as a height (in meters) above the ellipsoid and the output\n" -" echoes the input line with the height converted to height above the\n" -" geoid (MSL).\n" -"\n" -" -v print information about the geoid on standard error before\n" -" processing the input.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage, the default geoid path and name, and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"GEOIDS\n" -" GeoidEval computes geoid heights by interpolating on the data in a\n" -" regularly spaced table (see \"INTERPOLATION\"). The following geoid\n" -" tables are available (however, some may not be installed):\n" -"\n" -" bilinear error cubic error\n" -" name geoid grid max rms max rms\n" -" egm84-30 EGM84 30' 1.546 m 70 mm 0.274 m 14 mm\n" -" egm84-15 EGM84 15' 0.413 m 18 mm 0.021 m 1.2 mm\n" -" egm96-15 EGM96 15' 1.152 m 40 mm 0.169 m 7.0 mm\n" -" egm96-5 EGM96 5' 0.140 m 4.6 mm .0032 m 0.7 mm\n" -" egm2008-5 EGM2008 5' 0.478 m 12 mm 0.294 m 4.5 mm\n" -" egm2008-2_5 EGM2008 2.5' 0.135 m 3.2 mm 0.031 m 0.8 mm\n" -" egm2008-1 EGM2008 1' 0.025 m 0.8 mm .0022 m 0.7 mm\n" -"\n" -" By default, the \"egm96-5\" geoid is used. This may changed by setting\n" -" the environment variable \"GEOGRAPHICLIB_GEOID_NAME\" or with the -n\n" -" option. The errors listed here are estimates of the quantization and\n" -" interpolation errors in the reported heights compared to the specified\n" -" geoid.\n" -"\n" -" The geoid data will be loaded from a directory specified at compile\n" -" time. This may changed by setting the environment variables\n" -" \"GEOGRAPHICLIB_GEOID_PATH\" or \"GEOGRAPHICLIB_DATA\", or with the -d\n" -" option. The -h option prints the default geoid path and name. Use the\n" -" -v option to ascertain the full path name of the data file.\n" -"\n" -" Instructions for downloading and installing geoid data are available at\n" -" .\n" -"\n" -" NOTE: all the geoids above apply to the WGS84 ellipsoid (a = 6378137 m,\n" -" f = 1/298.257223563) only.\n" -"\n" -"INTERPOLATION\n" -" Cubic interpolation is used to compute the geoid height unless -l is\n" -" specified in which case bilinear interpolation is used. The cubic\n" -" interpolation is based on a least-squares fit of a cubic polynomial to\n" -" a 12-point stencil\n" -"\n" -" . 1 1 .\n" -" 1 2 2 1\n" -" 1 2 2 1\n" -" . 1 1 .\n" -"\n" -" The cubic is constrained to be independent of longitude when evaluating\n" -" the height at one of the poles. Cubic interpolation is considerably\n" -" more accurate than bilinear; however it results in small\n" -" discontinuities in the returned height on cell boundaries.\n" -"\n" -"CACHE\n" -" By default, the data file is randomly read to compute the geoid heights\n" -" at the input positions. Usually this is sufficient for interactive\n" -" use. If many heights are to be computed, use -c south west north east\n" -" to notify GeoidEval to read a rectangle of data into memory; heights\n" -" within the this rectangle can then be computed without any disk access.\n" -" If -a is specified all the geoid data is read; in the case of\n" -" \"egm2008-1\", this requires about 0.5 GB of RAM. The evaluation of\n" -" heights outside the cached area causes the necessary data to be read\n" -" from disk. Use the -v option to verify the size of the cache.\n" -"\n" -" Regardless of whether any cache is requested (with the -a or -c\n" -" options), the data for the last grid cell in cached. This allows the\n" -" geoid height along a continuous path to be returned with little disk\n" -" overhead.\n" -"\n" -"ENVIRONMENT\n" -" GEOGRAPHICLIB_GEOID_NAME\n" -" Override the compile-time default geoid name of \"egm96-5\". The -h\n" -" option reports the value of GEOGRAPHICLIB_GEOID_NAME, if defined,\n" -" otherwise it reports the compile-time value. If the -n name option\n" -" is used, then name takes precedence.\n" -"\n" -" GEOGRAPHICLIB_GEOID_PATH\n" -" Override the compile-time default geoid path. This is typically\n" -" \"/usr/local/share/GeographicLib/geoids\" on Unix-like systems and\n" -" \"C:/ProgramData/GeographicLib/geoids\" on Windows systems. The -h\n" -" option reports the value of GEOGRAPHICLIB_GEOID_PATH, if defined,\n" -" otherwise it reports the compile-time value. If the -d dir option\n" -" is used, then dir takes precedence.\n" -"\n" -" GEOGRAPHICLIB_DATA\n" -" Another way of overriding the compile-time default geoid path. If\n" -" it is set (and if GEOGRAPHICLIB_GEOID_PATH is not set), then\n" -" $GEOGRAPHICLIB_DATA/geoids is used.\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes GeoidEval to return an exit code of\n" -" 1. However, an error does not cause GeoidEval to terminate; following\n" -" lines will be converted.\n" -"\n" -"ABBREVIATIONS\n" -" The geoid is usually approximated by an \"earth gravity model\". The\n" -" models published by the NGA are:\n" -"\n" -" EGM84\n" -" An earth gravity model published by the NGA in 1984,\n" -" .\n" -"\n" -" EGM96\n" -" An earth gravity model published by the NGA in 1996,\n" -" .\n" -"\n" -" EGM2008\n" -" An earth gravity model published by the NGA in 2008,\n" -" .\n" -"\n" -" WGS84\n" -" World Geodetic System 1984, .\n" -"\n" -" HAE Height above the WGS84 ellipsoid.\n" -"\n" -" MSL Mean sea level, used as a convenient short hand for the geoid.\n" -" (However, typically, the geoid differs by a few meters from mean\n" -" sea level.)\n" -"\n" -"EXAMPLES\n" -" The height of the EGM96 geoid at Timbuktu\n" -"\n" -" echo 16:46:33N 3:00:34W | GeoidEval\n" -" => 28.7068 -0.02e-6 -1.73e-6\n" -"\n" -" The first number returned is the height of the geoid and the 2nd and\n" -" 3rd are its slopes in the northerly and easterly directions.\n" -"\n" -" Convert a point in UTM zone 18n from MSL to HAE\n" -"\n" -" echo 531595 4468135 23 | GeoidEval --msltohae -z 18n\n" -" => 531595 4468135 -10.842\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1), Gravity(1), geographiclib-get-geoids(8).\n" -"\n" -" An online version of this utility is availbable at\n" -" .\n" -"\n" -"AUTHOR\n" -" GeoidEval was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" GeoidEval was added to GeographicLib,\n" -" , in 2009-09.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/Gravity.1 b/libs/GeographicLib-1.50.1/BUILD/man/Gravity.1 deleted file mode 100644 index eca6c694cbacaa40aee2f3a6f9534c31d92ac654..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/Gravity.1 +++ /dev/null @@ -1,350 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Of course, you'll have to process the -.\" output yourself in some meaningful fashion. -.\" -.\" Avoid warning from groff about undefined register 'F'. -.de IX -.. -.if !\nF .nr F 0 -.if \nF>0 \{\ -. de IX -. tm Index:\\$1\t\\n%\t"\\$2" -.. -. if !\nF==2 \{\ -. nr % 0 -. nr F 2 -. \} -.\} -.\" -.\" Accent mark definitions (@(#)ms.acc 1.5 88/02/08 SMI; from UCB 4.2). -.\" Fear. Run. Save yourself. No user-serviceable parts. -. \" fudge factors for nroff and troff -.if n \{\ -. ds #H 0 -. ds #V .8m -. ds #F .3m -. ds #[ \f1 -. ds #] \fP -.\} -.if t \{\ -. ds #H ((1u-(\\\\n(.fu%2u))*.13m) -. ds #V .6m -. ds #F 0 -. ds #[ \& -. ds #] \& -.\} -. \" simple accents for nroff and troff -.if n \{\ -. ds ' \& -. ds ` \& -. ds ^ \& -. ds , \& -. ds ~ ~ -. ds / -.\} -.if t \{\ -. ds ' \\k:\h'-(\\n(.wu*8/10-\*(#H)'\'\h"|\\n:u" -. ds ` \\k:\h'-(\\n(.wu*8/10-\*(#H)'\`\h'|\\n:u' -. ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'^\h'|\\n:u' -. ds , \\k:\h'-(\\n(.wu*8/10)',\h'|\\n:u' -. ds ~ \\k:\h'-(\\n(.wu-\*(#H-.1m)'~\h'|\\n:u' -. ds / \\k:\h'-(\\n(.wu*8/10-\*(#H)'\z\(sl\h'|\\n:u' -.\} -. \" troff and (daisy-wheel) nroff accents -.ds : \\k:\h'-(\\n(.wu*8/10-\*(#H+.1m+\*(#F)'\v'-\*(#V'\z.\h'.2m+\*(#F'.\h'|\\n:u'\v'\*(#V' -.ds 8 \h'\*(#H'\(*b\h'-\*(#H' -.ds o \\k:\h'-(\\n(.wu+\w'\(de'u-\*(#H)/2u'\v'-.3n'\*(#[\z\(de\v'.3n'\h'|\\n:u'\*(#] -.ds d- \h'\*(#H'\(pd\h'-\w'~'u'\v'-.25m'\f2\(hy\fP\v'.25m'\h'-\*(#H' -.ds D- D\\k:\h'-\w'D'u'\v'-.11m'\z\(hy\v'.11m'\h'|\\n:u' -.ds th \*(#[\v'.3m'\s+1I\s-1\v'-.3m'\h'-(\w'I'u*2/3)'\s-1o\s+1\*(#] -.ds Th \*(#[\s+2I\s-2\h'-\w'I'u*3/5'\v'-.3m'o\v'.3m'\*(#] -.ds ae a\h'-(\w'a'u*4/10)'e -.ds Ae A\h'-(\w'A'u*4/10)'E -. \" corrections for vroff -.if v .ds ~ \\k:\h'-(\\n(.wu*9/10-\*(#H)'\s-2\u~\d\s+2\h'|\\n:u' -.if v .ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'\v'-.4m'^\v'.4m'\h'|\\n:u' -. \" for low resolution devices (crt and lpr) -.if \n(.H>23 .if \n(.V>19 \ -\{\ -. ds : e -. ds 8 ss -. ds o a -. ds d- d\h'-1'\(ga -. ds D- D\h'-1'\(hy -. ds th \o'bp' -. ds Th \o'LP' -. ds ae ae -. ds Ae AE -.\} -.rm #[ #] #H #V #F C -.\" ======================================================================== -.\" -.IX Title "GRAVITY 1" -.TH GRAVITY 1 "2019-12-12" "GeographicLib 1.50.1" "GeographicLib Utilities" -.\" For nroff, turn off justification. Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -Gravity \-\- compute the earth's gravity field -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGravity\fR [ \fB\-n\fR \fIname\fR ] [ \fB\-d\fR \fIdir\fR ] -[ \fB\-N\fR \fINmax\fR ] [ \fB\-M\fR \fIMmax\fR ] -[ \fB\-G\fR | \fB\-D\fR | \fB\-A\fR | \fB\-H\fR ] [ \fB\-c\fR \fIlat\fR \fIh\fR ] -[ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-v\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -\&\fBGravity\fR reads in positions on standard input and prints out the -gravitational field on standard output. -.PP -The input line is of the form \fIlat\fR \fIlon\fR \fIh\fR. \fIlat\fR and \fIlon\fR are -the latitude and longitude expressed as decimal degrees or degrees, -minutes, and seconds; for details on the allowed formats for latitude -and longitude, see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR section of -\&\fIGeoConvert\fR\|(1). \fIh\fR is the height above the ellipsoid in meters; this -quantity is optional and defaults to 0. Alternatively, the gravity -field can be computed at various points on a circle of latitude -(constant \fIlat\fR and \fIh\fR) via the \fB\-c\fR option; in this case only the -longitude should be given on the input lines. The quantities printed -out are governed by the \fB\-G\fR (default), \fB\-D\fR, \fB\-A\fR, or \fB\-H\fR options. -.PP -All the supported gravity models, except for grs80, use \s-1WGS84\s0 as the -reference ellipsoid \fIa\fR = 6378137 m, \fIf\fR = 1/298.257223563, \fIomega\fR = -7292115e\-11 rad/s, and \fI\s-1GM\s0\fR = 3986004.418e8 m^3/s^2. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-n\fR \fIname\fR" 4 -.IX Item "-n name" -use gravity field model \fIname\fR instead of the default \f(CW\*(C`egm96\*(C'\fR. See -\&\*(L"\s-1MODELS\*(R"\s0. -.IP "\fB\-d\fR \fIdir\fR" 4 -.IX Item "-d dir" -read gravity models from \fIdir\fR instead of the default. See -\&\*(L"\s-1MODELS\*(R"\s0. -.IP "\fB\-N\fR \fINmax\fR" 4 -.IX Item "-N Nmax" -limit the degree of the model to \fINmax\fR. -.IP "\fB\-M\fR \fIMmax\fR" 4 -.IX Item "-M Mmax" -limit the order of the model to \fIMmax\fR. -.IP "\fB\-G\fR" 4 -.IX Item "-G" -compute the acceleration due to gravity (including the centrifugal -acceleration due the the earth's rotation) \fBg\fR. The output consists of -\&\fIgx\fR \fIgy\fR \fIgz\fR (all in m/s^2), where the \fIx\fR, \fIy\fR, and \fIz\fR -components are in easterly, northerly, and up directions, respectively. -Usually \fIgz\fR is negative. -.IP "\fB\-D\fR" 4 -.IX Item "-D" -compute the gravity disturbance \fBdelta\fR = \fBg\fR \- \fBgamma\fR, where -\&\fBgamma\fR is the \*(L"normal\*(R" gravity due to the reference ellipsoid . The -output consists of \fIdeltax\fR \fIdeltay\fR \fIdeltaz\fR (all in mGal, 1 mGal = -10^\-5 m/s^2), where the \fIx\fR, \fIy\fR, and \fIz\fR components are in easterly, -northerly, and up directions, respectively. Note that \fIdeltax\fR = -\&\fIgx\fR, because \fIgammax\fR = 0. -.IP "\fB\-A\fR" 4 -.IX Item "-A" -computes the gravitational anomaly. The output consists of 3 items -\&\fIDg01\fR \fIxi\fR \fIeta\fR, where \fIDg01\fR is in mGal (1 mGal = 10^\-5 m/s^2) -and \fIxi\fR and \fIeta\fR are in arcseconds. The gravitational anomaly -compares the gravitational field \fBg\fR at \fIP\fR with the normal gravity -\&\fBgamma\fR at \fIQ\fR where the \fIP\fR is vertically above \fIQ\fR and the -gravitational potential at \fIP\fR equals the normal potential at \fIQ\fR. -\&\fIDg01\fR gives the difference in the magnitudes of these two vectors and -\&\fIxi\fR and \fIeta\fR give the difference in their directions (as northerly -and easterly components). The calculation uses a spherical -approximation to match the results of the \s-1NGA\s0's synthesis programs. -.IP "\fB\-H\fR" 4 -.IX Item "-H" -compute the height of the geoid above the reference ellipsoid (in -meters). In this case, \fIh\fR should be zero. The results accurately -match the results of the \s-1NGA\s0's synthesis programs. \fIGeoidEval\fR\|(1) can -compute geoid heights much more quickly by interpolating on a grid of -precomputed results; however the results from \fIGeoidEval\fR\|(1) are only -accurate to a few millimeters. -.IP "\fB\-c\fR \fIlat\fR \fIh\fR" 4 -.IX Item "-c lat h" -evaluate the field on a circle of latitude given by \fIlat\fR and \fIh\fR -instead of reading these quantities from the input lines. In this case, -\&\fBGravity\fR can calculate the field considerably more quickly. If geoid -heights are being computed (the \fB\-H\fR option), then \fIh\fR must be zero. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR. By default \fIprec\fR is 5 for -acceleration due to gravity, 3 for the gravity disturbance and anomaly, -and 4 for the geoid height. -.IP "\fB\-v\fR" 4 -.IX Item "-v" -print information about the gravity model on standard error before -processing the input. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage, the default gravity path and name, and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "MODELS" -.IX Header "MODELS" -\&\fBGravity\fR computes the gravity field using one of the following models -.PP -.Vb 10 -\& egm84, earth gravity model 1984. See -\& http://earth\-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html -\& egm96, earth gravity model 1996. See -\& http://earth\-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html -\& egm2008, earth gravity model 2008. See -\& http://earth\-info.nga.mil/GandG/wgs84/gravitymod/egm2008 -\& wgs84, world geodetic system 1984. This returns the normal -\& gravity for the WGS84 ellipsoid. -\& grs80, geodetic reference system 1980. This returns the normal -\& gravity for the GRS80 ellipsoid. -.Ve -.PP -These models approximate the gravitation field above the surface of the -earth. By default, the \f(CW\*(C`egm96\*(C'\fR gravity model is used. This may -changed by setting the environment variable -\&\f(CW\*(C`GEOGRAPHICLIB_GRAVITY_NAME\*(C'\fR or with the \fB\-n\fR option. -.PP -The gravity models will be loaded from a directory specified at compile -time. This may changed by setting the environment variables -\&\f(CW\*(C`GEOGRAPHICLIB_GRAVITY_PATH\*(C'\fR or \f(CW\*(C`GEOGRAPHICLIB_DATA\*(C'\fR, or with the -\&\fB\-d\fR option. The \fB\-h\fR option prints the default gravity path and -name. Use the \fB\-v\fR option to ascertain the full path name of the data -file. -.PP -Instructions for downloading and installing gravity models are available -at . -.SH "ENVIRONMENT" -.IX Header "ENVIRONMENT" -.IP "\fB\s-1GEOGRAPHICLIB_GRAVITY_NAME\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_GRAVITY_NAME" -Override the compile-time default gravity name of \f(CW\*(C`egm96\*(C'\fR. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_GRAVITY_NAME\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-n\fR \fIname\fR -option is used, then \fIname\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_GRAVITY_PATH\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_GRAVITY_PATH" -Override the compile-time default gravity path. This is typically -\&\f(CW\*(C`/usr/local/share/GeographicLib/gravity\*(C'\fR on Unix-like systems and -\&\f(CW\*(C`C:/ProgramData/GeographicLib/gravity\*(C'\fR on Windows systems. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_GRAVITY_PATH\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-d\fR \fIdir\fR option -is used, then \fIdir\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_DATA\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_DATA" -Another way of overriding the compile-time default gravity path. If it -is set (and if \fB\s-1GEOGRAPHICLIB_GRAVITY_PATH\s0\fR is not set), then -$\fB\s-1GEOGRAPHICLIB_DATA\s0\fR/gravity is used. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGravity\fR to return an exit -code of 1. However, an error does not cause \fBGravity\fR to -terminate; following lines will be converted. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -The gravity field from \s-1EGM2008\s0 at the top of Mount Everest -.PP -.Vb 2 -\& echo 27:59:17N 86:55:32E 8820 | Gravity \-n egm2008 -\& => \-0.00001 0.00103 \-9.76782 -.Ve -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fIGeoConvert\fR\|(1), \fIGeoidEval\fR\|(1), \fIgeographiclib\-get\-gravity\fR\|(8). -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGravity\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGravity\fR was added to GeographicLib, , -in version 1.16. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/Gravity.1.html b/libs/GeographicLib-1.50.1/BUILD/man/Gravity.1.html deleted file mode 100644 index bbd6f31c2e619fc87b4e821c02b636ef1ed532f6..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/Gravity.1.html +++ /dev/null @@ -1,229 +0,0 @@ - - - - -Gravity(1) - - - - - - - - -

NAME

- -

Gravity -- compute the earth's gravity field

- -

SYNOPSIS

- -

Gravity [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -G | -D | -A | -H ] [ -c lat h ] [ -w ] [ -p prec ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Gravity reads in positions on standard input and prints out the gravitational field on standard output.

- -

The input line is of the form lat lon h. lat and lon are the latitude and longitude expressed as decimal degrees or degrees, minutes, and seconds; for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). h is the height above the ellipsoid in meters; this quantity is optional and defaults to 0. Alternatively, the gravity field can be computed at various points on a circle of latitude (constant lat and h) via the -c option; in this case only the longitude should be given on the input lines. The quantities printed out are governed by the -G (default), -D, -A, or -H options.

- -

All the supported gravity models, except for grs80, use WGS84 as the reference ellipsoid a = 6378137 m, f = 1/298.257223563, omega = 7292115e-11 rad/s, and GM = 3986004.418e8 m^3/s^2.

- -

OPTIONS

- -
- -
-n name
-
- -

use gravity field model name instead of the default egm96. See "MODELS".

- -
-
-d dir
-
- -

read gravity models from dir instead of the default. See "MODELS".

- -
-
-N Nmax
-
- -

limit the degree of the model to Nmax.

- -
-
-M Mmax
-
- -

limit the order of the model to Mmax.

- -
-
-G
-
- -

compute the acceleration due to gravity (including the centrifugal acceleration due the the earth's rotation) g. The output consists of gx gy gz (all in m/s^2), where the x, y, and z components are in easterly, northerly, and up directions, respectively. Usually gz is negative.

- -
-
-D
-
- -

compute the gravity disturbance delta = g - gamma, where gamma is the "normal" gravity due to the reference ellipsoid . The output consists of deltax deltay deltaz (all in mGal, 1 mGal = 10^-5 m/s^2), where the x, y, and z components are in easterly, northerly, and up directions, respectively. Note that deltax = gx, because gammax = 0.

- -
-
-A
-
- -

computes the gravitational anomaly. The output consists of 3 items Dg01 xi eta, where Dg01 is in mGal (1 mGal = 10^-5 m/s^2) and xi and eta are in arcseconds. The gravitational anomaly compares the gravitational field g at P with the normal gravity gamma at Q where the P is vertically above Q and the gravitational potential at P equals the normal potential at Q. Dg01 gives the difference in the magnitudes of these two vectors and xi and eta give the difference in their directions (as northerly and easterly components). The calculation uses a spherical approximation to match the results of the NGA's synthesis programs.

- -
-
-H
-
- -

compute the height of the geoid above the reference ellipsoid (in meters). In this case, h should be zero. The results accurately match the results of the NGA's synthesis programs. GeoidEval(1) can compute geoid heights much more quickly by interpolating on a grid of precomputed results; however the results from GeoidEval(1) are only accurate to a few millimeters.

- -
-
-c lat h
-
- -

evaluate the field on a circle of latitude given by lat and h instead of reading these quantities from the input lines. In this case, Gravity can calculate the field considerably more quickly. If geoid heights are being computed (the -H option), then h must be zero.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec. By default prec is 5 for acceleration due to gravity, 3 for the gravity disturbance and anomaly, and 4 for the geoid height.

- -
-
-v
-
- -

print information about the gravity model on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default gravity path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

MODELS

- -

Gravity computes the gravity field using one of the following models

- -
    egm84, earth gravity model 1984.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html
-    egm96, earth gravity model 1996.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html
-    egm2008, earth gravity model 2008.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008
-    wgs84, world geodetic system 1984.  This returns the normal
-      gravity for the WGS84 ellipsoid.
-    grs80, geodetic reference system 1980.  This returns the normal
-      gravity for the GRS80 ellipsoid.
- -

These models approximate the gravitation field above the surface of the earth. By default, the egm96 gravity model is used. This may changed by setting the environment variable GEOGRAPHICLIB_GRAVITY_NAME or with the -n option.

- -

The gravity models will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_GRAVITY_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default gravity path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing gravity models are available at https://geographiclib.sourceforge.io/html/gravity.html#gravityinst.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_GRAVITY_NAME
-
- -

Override the compile-time default gravity name of egm96. The -h option reports the value of GEOGRAPHICLIB_GRAVITY_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_GRAVITY_PATH
-
- -

Override the compile-time default gravity path. This is typically /usr/local/share/GeographicLib/gravity on Unix-like systems and C:/ProgramData/GeographicLib/gravity on Windows systems. The -h option reports the value of GEOGRAPHICLIB_GRAVITY_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default gravity path. If it is set (and if GEOGRAPHICLIB_GRAVITY_PATH is not set), then $GEOGRAPHICLIB_DATA/gravity is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes Gravity to return an exit code of 1. However, an error does not cause Gravity to terminate; following lines will be converted.

- -

EXAMPLES

- -

The gravity field from EGM2008 at the top of Mount Everest

- -
    echo 27:59:17N 86:55:32E 8820 | Gravity -n egm2008
-    => -0.00001 0.00103 -9.76782
- -

SEE ALSO

- -

GeoConvert(1), GeoidEval(1), geographiclib-get-gravity(8).

- -

AUTHOR

- -

Gravity was written by Charles Karney.

- -

HISTORY

- -

Gravity was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.16.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/Gravity.usage b/libs/GeographicLib-1.50.1/BUILD/man/Gravity.usage deleted file mode 100644 index 9f3e84c75b587f7381b4ddfae5dc5a9f515566b4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/Gravity.usage +++ /dev/null @@ -1,215 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" Gravity [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -G | -D | -A |\n" -" -H ] [ -c lat h ] [ -w ] [ -p prec ] [ -v ] [ --comment-delimiter\n" -" commentdelim ] [ --version | -h | --help ] [ --input-file infile |\n" -" --input-string instring ] [ --line-separator linesep ] [ --output-file\n" -" outfile ]\n" -"\n" -"For full documentation type:\n" -" Gravity --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/Gravity.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" Gravity -- compute the earth's gravity field\n" -"\n" -"SYNOPSIS\n" -" Gravity [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -G | -D | -A |\n" -" -H ] [ -c lat h ] [ -w ] [ -p prec ] [ -v ] [ --comment-delimiter\n" -" commentdelim ] [ --version | -h | --help ] [ --input-file infile |\n" -" --input-string instring ] [ --line-separator linesep ] [ --output-file\n" -" outfile ]\n" -"\n" -"DESCRIPTION\n" -" Gravity reads in positions on standard input and prints out the\n" -" gravitational field on standard output.\n" -"\n" -" The input line is of the form lat lon h. lat and lon are the latitude\n" -" and longitude expressed as decimal degrees or degrees, minutes, and\n" -" seconds; for details on the allowed formats for latitude and longitude,\n" -" see the \"GEOGRAPHIC COORDINATES\" section of GeoConvert(1). h is the\n" -" height above the ellipsoid in meters; this quantity is optional and\n" -" defaults to 0. Alternatively, the gravity field can be computed at\n" -" various points on a circle of latitude (constant lat and h) via the -c\n" -" option; in this case only the longitude should be given on the input\n" -" lines. The quantities printed out are governed by the -G (default),\n" -" -D, -A, or -H options.\n" -"\n" -" All the supported gravity models, except for grs80, use WGS84 as the\n" -" reference ellipsoid a = 6378137 m, f = 1/298.257223563, omega =\n" -" 7292115e-11 rad/s, and GM = 3986004.418e8 m^3/s^2.\n" -"\n" -"OPTIONS\n" -" -n name\n" -" use gravity field model name instead of the default \"egm96\". See\n" -" \"MODELS\".\n" -"\n" -" -d dir\n" -" read gravity models from dir instead of the default. See \"MODELS\".\n" -"\n" -" -N Nmax\n" -" limit the degree of the model to Nmax.\n" -"\n" -" -M Mmax\n" -" limit the order of the model to Mmax.\n" -"\n" -" -G compute the acceleration due to gravity (including the centrifugal\n" -" acceleration due the the earth's rotation) g. The output consists\n" -" of gx gy gz (all in m/s^2), where the x, y, and z components are in\n" -" easterly, northerly, and up directions, respectively. Usually gz\n" -" is negative.\n" -"\n" -" -D compute the gravity disturbance delta = g - gamma, where gamma is\n" -" the \"normal\" gravity due to the reference ellipsoid . The output\n" -" consists of deltax deltay deltaz (all in mGal, 1 mGal = 10^-5\n" -" m/s^2), where the x, y, and z components are in easterly,\n" -" northerly, and up directions, respectively. Note that deltax = gx,\n" -" because gammax = 0.\n" -"\n" -" -A computes the gravitational anomaly. The output consists of 3 items\n" -" Dg01 xi eta, where Dg01 is in mGal (1 mGal = 10^-5 m/s^2) and xi\n" -" and eta are in arcseconds. The gravitational anomaly compares the\n" -" gravitational field g at P with the normal gravity gamma at Q where\n" -" the P is vertically above Q and the gravitational potential at P\n" -" equals the normal potential at Q. Dg01 gives the difference in the\n" -" magnitudes of these two vectors and xi and eta give the difference\n" -" in their directions (as northerly and easterly components). The\n" -" calculation uses a spherical approximation to match the results of\n" -" the NGA's synthesis programs.\n" -"\n" -" -H compute the height of the geoid above the reference ellipsoid (in\n" -" meters). In this case, h should be zero. The results accurately\n" -" match the results of the NGA's synthesis programs. GeoidEval(1)\n" -" can compute geoid heights much more quickly by interpolating on a\n" -" grid of precomputed results; however the results from GeoidEval(1)\n" -" are only accurate to a few millimeters.\n" -"\n" -" -c lat h\n" -" evaluate the field on a circle of latitude given by lat and h\n" -" instead of reading these quantities from the input lines. In this\n" -" case, Gravity can calculate the field considerably more quickly.\n" -" If geoid heights are being computed (the -H option), then h must be\n" -" zero.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec. By default prec is 5 for\n" -" acceleration due to gravity, 3 for the gravity disturbance and\n" -" anomaly, and 4 for the geoid height.\n" -"\n" -" -v print information about the gravity model on standard error before\n" -" processing the input.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage, the default gravity path and name, and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"MODELS\n" -" Gravity computes the gravity field using one of the following models\n" -"\n" -" egm84, earth gravity model 1984. See\n" -" http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html\n" -" egm96, earth gravity model 1996. See\n" -" http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html\n" -" egm2008, earth gravity model 2008. See\n" -" http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008\n" -" wgs84, world geodetic system 1984. This returns the normal\n" -" gravity for the WGS84 ellipsoid.\n" -" grs80, geodetic reference system 1980. This returns the normal\n" -" gravity for the GRS80 ellipsoid.\n" -"\n" -" These models approximate the gravitation field above the surface of the\n" -" earth. By default, the \"egm96\" gravity model is used. This may\n" -" changed by setting the environment variable\n" -" \"GEOGRAPHICLIB_GRAVITY_NAME\" or with the -n option.\n" -"\n" -" The gravity models will be loaded from a directory specified at compile\n" -" time. This may changed by setting the environment variables\n" -" \"GEOGRAPHICLIB_GRAVITY_PATH\" or \"GEOGRAPHICLIB_DATA\", or with the -d\n" -" option. The -h option prints the default gravity path and name. Use\n" -" the -v option to ascertain the full path name of the data file.\n" -"\n" -" Instructions for downloading and installing gravity models are\n" -" available at\n" -" .\n" -"\n" -"ENVIRONMENT\n" -" GEOGRAPHICLIB_GRAVITY_NAME\n" -" Override the compile-time default gravity name of \"egm96\". The -h\n" -" option reports the value of GEOGRAPHICLIB_GRAVITY_NAME, if defined,\n" -" otherwise it reports the compile-time value. If the -n name option\n" -" is used, then name takes precedence.\n" -"\n" -" GEOGRAPHICLIB_GRAVITY_PATH\n" -" Override the compile-time default gravity path. This is typically\n" -" \"/usr/local/share/GeographicLib/gravity\" on Unix-like systems and\n" -" \"C:/ProgramData/GeographicLib/gravity\" on Windows systems. The -h\n" -" option reports the value of GEOGRAPHICLIB_GRAVITY_PATH, if defined,\n" -" otherwise it reports the compile-time value. If the -d dir option\n" -" is used, then dir takes precedence.\n" -"\n" -" GEOGRAPHICLIB_DATA\n" -" Another way of overriding the compile-time default gravity path.\n" -" If it is set (and if GEOGRAPHICLIB_GRAVITY_PATH is not set), then\n" -" $GEOGRAPHICLIB_DATA/gravity is used.\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes Gravity to return an exit code of 1.\n" -" However, an error does not cause Gravity to terminate; following lines\n" -" will be converted.\n" -"\n" -"EXAMPLES\n" -" The gravity field from EGM2008 at the top of Mount Everest\n" -"\n" -" echo 27:59:17N 86:55:32E 8820 | Gravity -n egm2008\n" -" => -0.00001 0.00103 -9.76782\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1), GeoidEval(1), geographiclib-get-gravity(8).\n" -"\n" -"AUTHOR\n" -" Gravity was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" Gravity was added to GeographicLib,\n" -" , in version 1.16.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.1 b/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.1 deleted file mode 100644 index 28bb851e3b90d9fd9810e85140f539b21727f46e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.1 +++ /dev/null @@ -1,380 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -MagneticField \-\- compute the earth's magnetic field -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBMagneticField\fR [ \fB\-n\fR \fIname\fR ] [ \fB\-d\fR \fIdir\fR ] -[ \fB\-N\fR \fINmax\fR ] [ \fB\-M\fR \fIMmax\fR ] -[ \fB\-t\fR \fItime\fR | \fB\-c\fR \fItime\fR \fIlat\fR \fIh\fR ] -[ \fB\-r\fR ] [ \fB\-w\fR ] [ \fB\-T\fR \fItguard\fR ] [ \fB\-H\fR \fIhguard\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-v\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -\&\fBMagneticField\fR reads in times and positions on standard input and -prints out the geomagnetic field on standard output and, optionally, its -rate of change. -.PP -The input line is of the form \fItime\fR \fIlat\fR \fIlon\fR \fIh\fR. \fItime\fR is a -date of the form 2012\-07\-03, a fractional year such as 2012.5, or the -string \*(L"now\*(R". \fIlat\fR and \fIlon\fR are the latitude and longitude -expressed as decimal degrees or degrees, minutes, and seconds; for -details on the allowed formats for latitude and longitude, see the -\&\f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR section of \fIGeoConvert\fR\|(1). \fIh\fR is the height -above the ellipsoid in meters; this is optional and defaults to zero. -Alternatively, \fItime\fR can be given on the command line as the argument -to the \fB\-t\fR option, in which case it should not be included on the -input lines. Finally, the magnetic field can be computed at various -points on a circle of latitude (constant \fItime\fR, \fIlat\fR, and \fIh\fR) via -the \fB\-c\fR option; in this case only the longitude should be given on the -input lines. -.PP -The output consists of the following 7 items: -.PP -.Vb 9 -\& the declination (the direction of the horizontal component of -\& the magnetic field measured clockwise from north) in degrees, -\& the inclination (the direction of the magnetic field measured -\& down from the horizontal) in degrees, -\& the horizontal field in nanotesla (nT), -\& the north component of the field in nT, -\& the east component of the field in nT, -\& the vertical component of the field in nT (down is positive), -\& the total field in nT. -.Ve -.PP -If the \fB\-r\fR option is given, a second line is printed giving the rates -of change of these quantities in degrees/yr and nT/yr. -.PP -The \s-1WGS84\s0 ellipsoid is used, \fIa\fR = 6378137 m, \fIf\fR = 1/298.257223563. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-n\fR \fIname\fR" 4 -.IX Item "-n name" -use magnetic field model \fIname\fR instead of the default \f(CW\*(C`wmm2020\*(C'\fR. See -\&\*(L"\s-1MODELS\*(R"\s0. -.IP "\fB\-d\fR \fIdir\fR" 4 -.IX Item "-d dir" -read magnetic models from \fIdir\fR instead of the default. See -\&\*(L"\s-1MODELS\*(R"\s0. -.IP "\fB\-N\fR \fINmax\fR" 4 -.IX Item "-N Nmax" -limit the degree of the model to \fINmax\fR. -.IP "\fB\-M\fR \fIMmax\fR" 4 -.IX Item "-M Mmax" -limit the order of the model to \fIMmax\fR. -.IP "\fB\-t\fR \fItime\fR" 4 -.IX Item "-t time" -evaluate the field at \fItime\fR instead of reading the time from the input -lines. -.IP "\fB\-c\fR \fItime\fR \fIlat\fR \fIh\fR" 4 -.IX Item "-c time lat h" -evaluate the field on a circle of latitude given by \fItime\fR, \fIlat\fR, -\&\fIh\fR instead of reading these quantities from the input lines. In this -case, \fBMagneticField\fR can calculate the field considerably more -quickly. -.IP "\fB\-r\fR" 4 -.IX Item "-r" -toggle whether to report the rates of change of the field. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-T\fR \fItguard\fR" 4 -.IX Item "-T tguard" -signal an error if \fItime\fR lies \fItguard\fR years (default 50 yr) beyond -the range for the model. -.IP "\fB\-H\fR \fIhguard\fR" 4 -.IX Item "-H hguard" -signal an error if \fIh\fR lies \fIhguard\fR meters (default 500000 m) beyond -the range for the model. -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 1). Fields are printed -with precision with \fIprec\fR decimal places; angles use \fIprec\fR + 1 -places. -.IP "\fB\-v\fR" 4 -.IX Item "-v" -print information about the magnetic model on standard error before -processing the input. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage, the default magnetic path and name, and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "MODELS" -.IX Header "MODELS" -\&\fBMagneticField\fR computes the geomagnetic field using one of the -following models -.PP -.Vb 10 -\& wmm2010, the World Magnetic Model 2010, which approximates the -\& main magnetic field for the period 2010\-2015. See -\& https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml -\& wmm2015v2, the World Magnetic Model 2015, which approximates the -\& main magnetic field for the period 2015\-2020. See -\& https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml -\& wmm2015, a deprecated version of wmm2015v2 -\& wmm2020, the World Magnetic Model 2020, which approximates the -\& main magnetic field for the period 2020\-2025. See -\& https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml -\& igrf11, the International Geomagnetic Reference Field (11th -\& generation), which approximates the main magnetic field for -\& the period 1900\-2015. See -\& https://ngdc.noaa.gov/IAGA/vmod/igrf.html -\& igrf12, the International Geomagnetic Reference Field (12th -\& generation), which approximates the main magnetic field for -\& the period 1900\-2020. See -\& https://ngdc.noaa.gov/IAGA/vmod/igrf.html -\& emm2010, the Enhanced Magnetic Model 2010, which approximates -\& the main and crustal magnetic fields for the period 2010\-2015. -\& See https://ngdc.noaa.gov/geomag/EMM/index.html -\& emm2015, the Enhanced Magnetic Model 2015, which approximates -\& the main and crustal magnetic fields for the period 2000\-2020. -\& See https://ngdc.noaa.gov/geomag/EMM/index.html -\& emm2017, the Enhanced Magnetic Model 2017, which approximates -\& the main and crustal magnetic fields for the period 2000\-2022. -\& See https://ngdc.noaa.gov/geomag/EMM/index.html -.Ve -.PP -These models approximate the magnetic field due to the earth's core and -(in the case of emm20xx) its crust. They neglect magnetic fields due to -the ionosphere, the magnetosphere, nearby magnetized materials, -electrical machinery, etc. -.PP -By default, the \f(CW\*(C`wmm2020\*(C'\fR magnetic model is used. This may changed by -setting the environment variable \f(CW\*(C`GEOGRAPHICLIB_MAGNETIC_NAME\*(C'\fR or with -the \fB\-n\fR option. -.PP -The magnetic models will be loaded from a directory specified at compile -time. This may changed by setting the environment variables -\&\f(CW\*(C`GEOGRAPHICLIB_MAGNETIC_PATH\*(C'\fR or \f(CW\*(C`GEOGRAPHICLIB_DATA\*(C'\fR, or with the -\&\fB\-d\fR option. The \fB\-h\fR option prints the default magnetic path and -name. Use the \fB\-v\fR option to ascertain the full path name of the data -file. -.PP -Instructions for downloading and installing magnetic models are -available at -. -.SH "ENVIRONMENT" -.IX Header "ENVIRONMENT" -.IP "\fB\s-1GEOGRAPHICLIB_MAGNETIC_NAME\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_MAGNETIC_NAME" -Override the compile-time default magnetic name of \f(CW\*(C`wmm2020\*(C'\fR. The -\&\fB\-h\fR option reports the value of \fB\s-1GEOGRAPHICLIB_MAGNETIC_NAME\s0\fR, if -defined, otherwise it reports the compile-time value. If the \fB\-n\fR -\&\fIname\fR option is used, then \fIname\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_MAGNETIC_PATH\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_MAGNETIC_PATH" -Override the compile-time default magnetic path. This is typically -\&\f(CW\*(C`/usr/local/share/GeographicLib/magnetic\*(C'\fR on Unix-like systems and -\&\f(CW\*(C`C:/ProgramData/GeographicLib/magnetic\*(C'\fR on Windows systems. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_MAGNETIC_PATH\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-d\fR \fIdir\fR option -is used, then \fIdir\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_DATA\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_DATA" -Another way of overriding the compile-time default magnetic path. If it -is set (and if \fB\s-1GEOGRAPHICLIB_MAGNETIC_PATH\s0\fR is not set), then -$\fB\s-1GEOGRAPHICLIB_DATA\s0\fR/magnetic is used. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBMagneticField\fR to return an exit -code of 1. However, an error does not cause \fBMagneticField\fR to -terminate; following lines will be converted. If \fItime\fR or \fIh\fR are -outside the recommended ranges for the model (but inside the ranges -increase by \fItguard\fR and \fIhguard\fR), a warning is printed on standard -error and the field (which may be inaccurate) is returned in the normal -way. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -The magnetic field from \s-1WMM2020\s0 in Timbuktu on 2020\-01\-01 -.PP -.Vb 3 -\& echo 2020\-01\-01 16:46:33N 3:00:34W 300 | MagneticField \-r -\& => \-1.60 12.00 33973.5 33960.3 \-948.1 7223.0 34732.8 -\& 0.13 \-0.02 21.8 23.9 77.9 \-8.4 19.5 -.Ve -.PP -The first two numbers returned are the declination and inclination of -the field. The second line gives the annual change. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fIGeoConvert\fR\|(1), \fIgeographiclib\-get\-magnetic\fR\|(8). -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBMagneticField\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBMagneticField\fR was added to GeographicLib, -, in version 1.15. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.1.html b/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.1.html deleted file mode 100644 index f8215497babbb5d99decfe984ab38ee27dda3782..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.1.html +++ /dev/null @@ -1,265 +0,0 @@ - - - - -MagneticField(1) - - - - - - - - -

NAME

- -

MagneticField -- compute the earth's magnetic field

- -

SYNOPSIS

- -

MagneticField [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -t time | -c time lat h ] [ -r ] [ -w ] [ -T tguard ] [ -H hguard ] [ -p prec ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

MagneticField reads in times and positions on standard input and prints out the geomagnetic field on standard output and, optionally, its rate of change.

- -

The input line is of the form time lat lon h. time is a date of the form 2012-07-03, a fractional year such as 2012.5, or the string "now". lat and lon are the latitude and longitude expressed as decimal degrees or degrees, minutes, and seconds; for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). h is the height above the ellipsoid in meters; this is optional and defaults to zero. Alternatively, time can be given on the command line as the argument to the -t option, in which case it should not be included on the input lines. Finally, the magnetic field can be computed at various points on a circle of latitude (constant time, lat, and h) via the -c option; in this case only the longitude should be given on the input lines.

- -

The output consists of the following 7 items:

- -
  the declination (the direction of the horizontal component of
-    the magnetic field measured clockwise from north) in degrees,
-  the inclination (the direction of the magnetic field measured
-    down from the horizontal) in degrees,
-  the horizontal field in nanotesla (nT),
-  the north component of the field in nT,
-  the east component of the field in nT,
-  the vertical component of the field in nT (down is positive),
-  the total field in nT.
- -

If the -r option is given, a second line is printed giving the rates of change of these quantities in degrees/yr and nT/yr.

- -

The WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -

OPTIONS

- -
- -
-n name
-
- -

use magnetic field model name instead of the default wmm2020. See "MODELS".

- -
-
-d dir
-
- -

read magnetic models from dir instead of the default. See "MODELS".

- -
-
-N Nmax
-
- -

limit the degree of the model to Nmax.

- -
-
-M Mmax
-
- -

limit the order of the model to Mmax.

- -
-
-t time
-
- -

evaluate the field at time instead of reading the time from the input lines.

- -
-
-c time lat h
-
- -

evaluate the field on a circle of latitude given by time, lat, h instead of reading these quantities from the input lines. In this case, MagneticField can calculate the field considerably more quickly.

- -
-
-r
-
- -

toggle whether to report the rates of change of the field.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-T tguard
-
- -

signal an error if time lies tguard years (default 50 yr) beyond the range for the model.

- -
-
-H hguard
-
- -

signal an error if h lies hguard meters (default 500000 m) beyond the range for the model.

- -
-
-p prec
-
- -

set the output precision to prec (default 1). Fields are printed with precision with prec decimal places; angles use prec + 1 places.

- -
-
-v
-
- -

print information about the magnetic model on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default magnetic path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

MODELS

- -

MagneticField computes the geomagnetic field using one of the following models

- -
    wmm2010, the World Magnetic Model 2010, which approximates the
-      main magnetic field for the period 2010-2015.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    wmm2015v2, the World Magnetic Model 2015, which approximates the
-      main magnetic field for the period 2015-2020.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    wmm2015, a deprecated version of wmm2015v2
-    wmm2020, the World Magnetic Model 2020, which approximates the
-      main magnetic field for the period 2020-2025.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    igrf11, the International Geomagnetic Reference Field (11th
-      generation), which approximates the main magnetic field for
-      the period 1900-2015.  See
-      https://ngdc.noaa.gov/IAGA/vmod/igrf.html
-    igrf12, the International Geomagnetic Reference Field (12th
-      generation), which approximates the main magnetic field for
-      the period 1900-2020.  See
-      https://ngdc.noaa.gov/IAGA/vmod/igrf.html
-    emm2010, the Enhanced Magnetic Model 2010, which approximates
-      the main and crustal magnetic fields for the period 2010-2015.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
-    emm2015, the Enhanced Magnetic Model 2015, which approximates
-      the main and crustal magnetic fields for the period 2000-2020.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
-    emm2017, the Enhanced Magnetic Model 2017, which approximates
-      the main and crustal magnetic fields for the period 2000-2022.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
- -

These models approximate the magnetic field due to the earth's core and (in the case of emm20xx) its crust. They neglect magnetic fields due to the ionosphere, the magnetosphere, nearby magnetized materials, electrical machinery, etc.

- -

By default, the wmm2020 magnetic model is used. This may changed by setting the environment variable GEOGRAPHICLIB_MAGNETIC_NAME or with the -n option.

- -

The magnetic models will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_MAGNETIC_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default magnetic path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing magnetic models are available at https://geographiclib.sourceforge.io/html/magnetic.html#magneticinst.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_MAGNETIC_NAME
-
- -

Override the compile-time default magnetic name of wmm2020. The -h option reports the value of GEOGRAPHICLIB_MAGNETIC_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_MAGNETIC_PATH
-
- -

Override the compile-time default magnetic path. This is typically /usr/local/share/GeographicLib/magnetic on Unix-like systems and C:/ProgramData/GeographicLib/magnetic on Windows systems. The -h option reports the value of GEOGRAPHICLIB_MAGNETIC_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default magnetic path. If it is set (and if GEOGRAPHICLIB_MAGNETIC_PATH is not set), then $GEOGRAPHICLIB_DATA/magnetic is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes MagneticField to return an exit code of 1. However, an error does not cause MagneticField to terminate; following lines will be converted. If time or h are outside the recommended ranges for the model (but inside the ranges increase by tguard and hguard), a warning is printed on standard error and the field (which may be inaccurate) is returned in the normal way.

- -

EXAMPLES

- -

The magnetic field from WMM2020 in Timbuktu on 2020-01-01

- -
    echo 2020-01-01 16:46:33N 3:00:34W 300 | MagneticField -r
-    => -1.60 12.00 33973.5 33960.3 -948.1 7223.0 34732.8
-       0.13 -0.02 21.8 23.9 77.9 -8.4 19.5
- -

The first two numbers returned are the declination and inclination of the field. The second line gives the annual change.

- -

SEE ALSO

- -

GeoConvert(1), geographiclib-get-magnetic(8).

- -

AUTHOR

- -

MagneticField was written by Charles Karney.

- -

HISTORY

- -

MagneticField was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.15.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.usage b/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.usage deleted file mode 100644 index a6e9080ce03d1afc30855eab744a7c5bbf96d16b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/MagneticField.usage +++ /dev/null @@ -1,243 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" MagneticField [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -t time\n" -" | -c time lat h ] [ -r ] [ -w ] [ -T tguard ] [ -H hguard ] [ -p prec ]\n" -" [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ]\n" -" [ --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" MagneticField --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/MagneticField.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" MagneticField -- compute the earth's magnetic field\n" -"\n" -"SYNOPSIS\n" -" MagneticField [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -t time\n" -" | -c time lat h ] [ -r ] [ -w ] [ -T tguard ] [ -H hguard ] [ -p prec ]\n" -" [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ]\n" -" [ --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" MagneticField reads in times and positions on standard input and prints\n" -" out the geomagnetic field on standard output and, optionally, its rate\n" -" of change.\n" -"\n" -" The input line is of the form time lat lon h. time is a date of the\n" -" form 2012-07-03, a fractional year such as 2012.5, or the string \"now\".\n" -" lat and lon are the latitude and longitude expressed as decimal degrees\n" -" or degrees, minutes, and seconds; for details on the allowed formats\n" -" for latitude and longitude, see the \"GEOGRAPHIC COORDINATES\" section of\n" -" GeoConvert(1). h is the height above the ellipsoid in meters; this is\n" -" optional and defaults to zero. Alternatively, time can be given on the\n" -" command line as the argument to the -t option, in which case it should\n" -" not be included on the input lines. Finally, the magnetic field can be\n" -" computed at various points on a circle of latitude (constant time, lat,\n" -" and h) via the -c option; in this case only the longitude should be\n" -" given on the input lines.\n" -"\n" -" The output consists of the following 7 items:\n" -"\n" -" the declination (the direction of the horizontal component of\n" -" the magnetic field measured clockwise from north) in degrees,\n" -" the inclination (the direction of the magnetic field measured\n" -" down from the horizontal) in degrees,\n" -" the horizontal field in nanotesla (nT),\n" -" the north component of the field in nT,\n" -" the east component of the field in nT,\n" -" the vertical component of the field in nT (down is positive),\n" -" the total field in nT.\n" -"\n" -" If the -r option is given, a second line is printed giving the rates of\n" -" change of these quantities in degrees/yr and nT/yr.\n" -"\n" -" The WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.\n" -"\n" -"OPTIONS\n" -" -n name\n" -" use magnetic field model name instead of the default \"wmm2020\".\n" -" See \"MODELS\".\n" -"\n" -" -d dir\n" -" read magnetic models from dir instead of the default. See\n" -" \"MODELS\".\n" -"\n" -" -N Nmax\n" -" limit the degree of the model to Nmax.\n" -"\n" -" -M Mmax\n" -" limit the order of the model to Mmax.\n" -"\n" -" -t time\n" -" evaluate the field at time instead of reading the time from the\n" -" input lines.\n" -"\n" -" -c time lat h\n" -" evaluate the field on a circle of latitude given by time, lat, h\n" -" instead of reading these quantities from the input lines. In this\n" -" case, MagneticField can calculate the field considerably more\n" -" quickly.\n" -"\n" -" -r toggle whether to report the rates of change of the field.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -T tguard\n" -" signal an error if time lies tguard years (default 50 yr) beyond\n" -" the range for the model.\n" -"\n" -" -H hguard\n" -" signal an error if h lies hguard meters (default 500000 m) beyond\n" -" the range for the model.\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 1). Fields are printed\n" -" with precision with prec decimal places; angles use prec + 1\n" -" places.\n" -"\n" -" -v print information about the magnetic model on standard error before\n" -" processing the input.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage, the default magnetic path and name, and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"MODELS\n" -" MagneticField computes the geomagnetic field using one of the following\n" -" models\n" -"\n" -" wmm2010, the World Magnetic Model 2010, which approximates the\n" -" main magnetic field for the period 2010-2015. See\n" -" https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml\n" -" wmm2015v2, the World Magnetic Model 2015, which approximates the\n" -" main magnetic field for the period 2015-2020. See\n" -" https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml\n" -" wmm2015, a deprecated version of wmm2015v2\n" -" wmm2020, the World Magnetic Model 2020, which approximates the\n" -" main magnetic field for the period 2020-2025. See\n" -" https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml\n" -" igrf11, the International Geomagnetic Reference Field (11th\n" -" generation), which approximates the main magnetic field for\n" -" the period 1900-2015. See\n" -" https://ngdc.noaa.gov/IAGA/vmod/igrf.html\n" -" igrf12, the International Geomagnetic Reference Field (12th\n" -" generation), which approximates the main magnetic field for\n" -" the period 1900-2020. See\n" -" https://ngdc.noaa.gov/IAGA/vmod/igrf.html\n" -" emm2010, the Enhanced Magnetic Model 2010, which approximates\n" -" the main and crustal magnetic fields for the period 2010-2015.\n" -" See https://ngdc.noaa.gov/geomag/EMM/index.html\n" -" emm2015, the Enhanced Magnetic Model 2015, which approximates\n" -" the main and crustal magnetic fields for the period 2000-2020.\n" -" See https://ngdc.noaa.gov/geomag/EMM/index.html\n" -" emm2017, the Enhanced Magnetic Model 2017, which approximates\n" -" the main and crustal magnetic fields for the period 2000-2022.\n" -" See https://ngdc.noaa.gov/geomag/EMM/index.html\n" -"\n" -" These models approximate the magnetic field due to the earth's core and\n" -" (in the case of emm20xx) its crust. They neglect magnetic fields due\n" -" to the ionosphere, the magnetosphere, nearby magnetized materials,\n" -" electrical machinery, etc.\n" -"\n" -" By default, the \"wmm2020\" magnetic model is used. This may changed by\n" -" setting the environment variable \"GEOGRAPHICLIB_MAGNETIC_NAME\" or with\n" -" the -n option.\n" -"\n" -" The magnetic models will be loaded from a directory specified at\n" -" compile time. This may changed by setting the environment variables\n" -" \"GEOGRAPHICLIB_MAGNETIC_PATH\" or \"GEOGRAPHICLIB_DATA\", or with the -d\n" -" option. The -h option prints the default magnetic path and name. Use\n" -" the -v option to ascertain the full path name of the data file.\n" -"\n" -" Instructions for downloading and installing magnetic models are\n" -" available at\n" -" .\n" -"\n" -"ENVIRONMENT\n" -" GEOGRAPHICLIB_MAGNETIC_NAME\n" -" Override the compile-time default magnetic name of \"wmm2020\". The\n" -" -h option reports the value of GEOGRAPHICLIB_MAGNETIC_NAME, if\n" -" defined, otherwise it reports the compile-time value. If the -n\n" -" name option is used, then name takes precedence.\n" -"\n" -" GEOGRAPHICLIB_MAGNETIC_PATH\n" -" Override the compile-time default magnetic path. This is typically\n" -" \"/usr/local/share/GeographicLib/magnetic\" on Unix-like systems and\n" -" \"C:/ProgramData/GeographicLib/magnetic\" on Windows systems. The -h\n" -" option reports the value of GEOGRAPHICLIB_MAGNETIC_PATH, if\n" -" defined, otherwise it reports the compile-time value. If the -d\n" -" dir option is used, then dir takes precedence.\n" -"\n" -" GEOGRAPHICLIB_DATA\n" -" Another way of overriding the compile-time default magnetic path.\n" -" If it is set (and if GEOGRAPHICLIB_MAGNETIC_PATH is not set), then\n" -" $GEOGRAPHICLIB_DATA/magnetic is used.\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes MagneticField to return an exit code\n" -" of 1. However, an error does not cause MagneticField to terminate;\n" -" following lines will be converted. If time or h are outside the\n" -" recommended ranges for the model (but inside the ranges increase by\n" -" tguard and hguard), a warning is printed on standard error and the\n" -" field (which may be inaccurate) is returned in the normal way.\n" -"\n" -"EXAMPLES\n" -" The magnetic field from WMM2020 in Timbuktu on 2020-01-01\n" -"\n" -" echo 2020-01-01 16:46:33N 3:00:34W 300 | MagneticField -r\n" -" => -1.60 12.00 33973.5 33960.3 -948.1 7223.0 34732.8\n" -" 0.13 -0.02 21.8 23.9 77.9 -8.4 19.5\n" -"\n" -" The first two numbers returned are the declination and inclination of\n" -" the field. The second line gives the annual change.\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1), geographiclib-get-magnetic(8).\n" -"\n" -"AUTHOR\n" -" MagneticField was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" MagneticField was added to GeographicLib,\n" -" , in version 1.15.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/Makefile b/libs/GeographicLib-1.50.1/BUILD/man/Makefile deleted file mode 100644 index d52ae1add9fe9807e0aaa92f4212279c8b2f192b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/Makefile +++ /dev/null @@ -1,300 +0,0 @@ -# CMAKE generated file: DO NOT EDIT! -# Generated by "Unix Makefiles" Generator, CMake Version 3.10 - -# Default target executed when no arguments are given to make. -default_target: all - -.PHONY : default_target - -# Allow only one "make -f Makefile2" at a time, but pass parallelism. -.NOTPARALLEL: - - -#============================================================================= -# Special targets provided by cmake. - 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -Planimeter \-\- compute the area of geodesic polygons -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBPlanimeter\fR [ \fB\-r\fR ] [ \fB\-s\fR ] [ \fB\-l\fR ] [ \fB\-e\fR \fIa\fR \fIf\fR ] -[ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] [ \fB\-G\fR | \fB\-E\fR | \fB\-Q\fR | \fB\-R\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -Measure the area of a geodesic polygon. Reads polygon vertices from -standard input, one per line. Vertices may be given as latitude and -longitude, \s-1UTM/UPS,\s0 or \s-1MGRS\s0 coordinates, interpreted in the same way as -\&\fIGeoConvert\fR\|(1). (\s-1MGRS\s0 coordinates signify the center of the -corresponding \s-1MGRS\s0 square.) The end of input, a blank line, or a line -which can't be interpreted as a vertex signals the end of one polygon -and the start of the next. For each polygon print a summary line with -the number of points, the perimeter (in meters), and the area (in -meters^2). -.PP -The edges of the polygon are given by the \fIshortest\fR geodesic between -consecutive vertices. In certain cases, there may be two or many such -shortest geodesics, and in that case, the polygon is not uniquely -specified by its vertices. This only happens with very long edges (for -the \s-1WGS84\s0 ellipsoid, any edge shorter than 19970 km is uniquely -specified by its end points). In such cases, insert an additional -vertex near the middle of the long edge to define the boundary of the -polygon. -.PP -By default, polygons traversed in a counter-clockwise direction return a -positive area and those traversed in a clockwise direction return a -negative area. This sign convention is reversed if the \fB\-r\fR option is -given. -.PP -Of course, encircling an area in the clockwise direction is equivalent -to encircling the rest of the ellipsoid in the counter-clockwise -direction. The default interpretation used by \fBPlanimeter\fR is the one -that results in a smaller magnitude of area; i.e., the magnitude of the -area is less than or equal to one half the total area of the ellipsoid. -If the \fB\-s\fR option is given, then the interpretation used is the one -that results in a positive area; i.e., the area is positive and less -than the total area of the ellipsoid. -.PP -Arbitrarily complex polygons are allowed. In the case of -self-intersecting polygons the area is accumulated \*(L"algebraically\*(R", -e.g., the areas of the 2 loops in a figure\-8 polygon will partially -cancel. Polygons may include one or both poles. There is no need to -close the polygon. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-r\fR" 4 -.IX Item "-r" -toggle whether counter-clockwise traversal of the polygon returns a -positive (the default) or negative result. -.IP "\fB\-s\fR" 4 -.IX Item "-s" -toggle whether to return a signed result (the default) or not. -.IP "\fB\-l\fR" 4 -.IX Item "-l" -toggle whether the vertices represent a polygon (the default) or a -polyline. For a polyline, the number of points and the length of the -path joining them is returned; the path is not closed and the area is -not reported. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. If entering vertices as \s-1UTM/UPS\s0 or -\&\s-1MGRS\s0 coordinates, use the default ellipsoid, since the conversion of -these coordinates to latitude and longitude always uses the \s-1WGS84\s0 -parameters. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -when reading geographic coordinates, longitude precedes latitude (this -can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, \fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 6); the perimeter is given -(in meters) with \fIprec\fR digits after the decimal point; the area is -given (in meters^2) with (\fIprec\fR \- 5) digits after the decimal point. -.IP "\fB\-G\fR" 4 -.IX Item "-G" -use the series formulation for the geodesics. This is the default -option and is recommended for terrestrial applications. This option, -\&\fB\-G\fR, and the following three options, \fB\-E\fR, \fB\-Q\fR, and \fB\-R\fR, are -mutually exclusive. -.IP "\fB\-E\fR" 4 -.IX Item "-E" -use \*(L"exact\*(R" algorithms (based on elliptic integrals) for the geodesic -calculations. These are more accurate than the (default) series -expansions for |\fIf\fR| > 0.02. (But note that the implementation of -areas in GeodesicExact uses a high order series and this is only -accurate for modest flattenings.) -.IP "\fB\-Q\fR" 4 -.IX Item "-Q" -perform the calculation on the authalic sphere. The area calculation is -accurate even if the flattening is large, \fIprovided\fR the edges are -sufficiently short. The perimeter calculation is not accurate. -.IP "\fB\-R\fR" 4 -.IX Item "-R" -The lines joining the vertices are rhumb lines instead of geodesics. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing. For a given polygon, the last such string found will be -appended to the output line (separated by a space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -Example (the area of the 100km \s-1MGRS\s0 square 18SWK) -.PP -.Vb 7 -\& Planimeter < 4 400139.53295860 10007388597.1913 -.Ve -.PP -The following code takes the output from gdalinfo and reports the area -covered by the data (assuming the edges of the image are geodesics). -.PP -.Vb 10 -\& #! /bin/sh -\& egrep \*(Aq^((Upper|Lower) (Left|Right)|Center) \*(Aq | -\& sed \-e \*(Aqs/d /d/g\*(Aq \-e "s/\*(Aq /\*(Aq/g" | tr \-s \*(Aq(),\er\et\*(Aq \*(Aq \*(Aq | awk \*(Aq{ -\& if ($1 $2 == "UpperLeft") -\& ul = $6 " " $5; -\& else if ($1 $2 == "LowerLeft") -\& ll = $6 " " $5; -\& else if ($1 $2 == "UpperRight") -\& ur = $6 " " $5; -\& else if ($1 $2 == "LowerRight") -\& lr = $6 " " $5; -\& else if ($1 == "Center") { -\& printf "%s\en%s\en%s\en%s\en\en", ul, ll, lr, ur; -\& ul = ll = ur = lr = ""; -\& } -\& } -\& \*(Aq | Planimeter | cut \-f3 \-d\*(Aq \*(Aq -.Ve -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fIGeoConvert\fR\|(1), \fIGeodSolve\fR\|(1). -.PP -An online version of this utility is availbable at -. -.PP -The algorithm for the area of geodesic polygon is -given in Section 6 of C. F. F. Karney, \fIAlgorithms for geodesics\fR, -J. Geodesy 87, 43\-55 (2013); -\&\s-1DOI\s0 ; -addenda: . -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBPlanimeter\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBPlanimeter\fR was added to GeographicLib, -, in version 1.4. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/Planimeter.1.html b/libs/GeographicLib-1.50.1/BUILD/man/Planimeter.1.html deleted file mode 100644 index 575e0a419824d2ceab2a9f9a5ab46178618a8f18..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/Planimeter.1.html +++ /dev/null @@ -1,201 +0,0 @@ - - - - -Planimeter(1) - - - - - - - - -

NAME

- -

Planimeter -- compute the area of geodesic polygons

- -

SYNOPSIS

- -

Planimeter [ -r ] [ -s ] [ -l ] [ -e a f ] [ -w ] [ -p prec ] [ -G | -E | -Q | -R ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Measure the area of a geodesic polygon. Reads polygon vertices from standard input, one per line. Vertices may be given as latitude and longitude, UTM/UPS, or MGRS coordinates, interpreted in the same way as GeoConvert(1). (MGRS coordinates signify the center of the corresponding MGRS square.) The end of input, a blank line, or a line which can't be interpreted as a vertex signals the end of one polygon and the start of the next. For each polygon print a summary line with the number of points, the perimeter (in meters), and the area (in meters^2).

- -

The edges of the polygon are given by the shortest geodesic between consecutive vertices. In certain cases, there may be two or many such shortest geodesics, and in that case, the polygon is not uniquely specified by its vertices. This only happens with very long edges (for the WGS84 ellipsoid, any edge shorter than 19970 km is uniquely specified by its end points). In such cases, insert an additional vertex near the middle of the long edge to define the boundary of the polygon.

- -

By default, polygons traversed in a counter-clockwise direction return a positive area and those traversed in a clockwise direction return a negative area. This sign convention is reversed if the -r option is given.

- -

Of course, encircling an area in the clockwise direction is equivalent to encircling the rest of the ellipsoid in the counter-clockwise direction. The default interpretation used by Planimeter is the one that results in a smaller magnitude of area; i.e., the magnitude of the area is less than or equal to one half the total area of the ellipsoid. If the -s option is given, then the interpretation used is the one that results in a positive area; i.e., the area is positive and less than the total area of the ellipsoid.

- -

Arbitrarily complex polygons are allowed. In the case of self-intersecting polygons the area is accumulated "algebraically", e.g., the areas of the 2 loops in a figure-8 polygon will partially cancel. Polygons may include one or both poles. There is no need to close the polygon.

- -

OPTIONS

- -
- -
-r
-
- -

toggle whether counter-clockwise traversal of the polygon returns a positive (the default) or negative result.

- -
-
-s
-
- -

toggle whether to return a signed result (the default) or not.

- -
-
-l
-
- -

toggle whether the vertices represent a polygon (the default) or a polyline. For a polyline, the number of points and the length of the path joining them is returned; the path is not closed and the area is not reported.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563. If entering vertices as UTM/UPS or MGRS coordinates, use the default ellipsoid, since the conversion of these coordinates to latitude and longitude always uses the WGS84 parameters.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then when reading geographic coordinates, longitude precedes latitude (this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6); the perimeter is given (in meters) with prec digits after the decimal point; the area is given (in meters^2) with (prec - 5) digits after the decimal point.

- -
-
-G
-
- -

use the series formulation for the geodesics. This is the default option and is recommended for terrestrial applications. This option, -G, and the following three options, -E, -Q, and -R, are mutually exclusive.

- -
-
-E
-
- -

use "exact" algorithms (based on elliptic integrals) for the geodesic calculations. These are more accurate than the (default) series expansions for |f| > 0.02. (But note that the implementation of areas in GeodesicExact uses a high order series and this is only accurate for modest flattenings.)

- -
-
-Q
-
- -

perform the calculation on the authalic sphere. The area calculation is accurate even if the flattening is large, provided the edges are sufficiently short. The perimeter calculation is not accurate.

- -
-
-R
-
- -

The lines joining the vertices are rhumb lines instead of geodesics.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing. For a given polygon, the last such string found will be appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -

Example (the area of the 100km MGRS square 18SWK)

- -
   Planimeter <<EOF
-   18n 500000 4400000
-   18n 600000 4400000
-   18n 600000 4500000
-   18n 500000 4500000
-   EOF
-   => 4 400139.53295860 10007388597.1913
- -

The following code takes the output from gdalinfo and reports the area covered by the data (assuming the edges of the image are geodesics).

- -
   #! /bin/sh
-   egrep '^((Upper|Lower) (Left|Right)|Center) ' |
-   sed -e 's/d /d/g' -e "s/' /'/g" | tr -s '(),\r\t' ' ' | awk '{
-       if ($1 $2 == "UpperLeft")
-           ul = $6 " " $5;
-       else if ($1 $2 == "LowerLeft")
-           ll = $6 " " $5;
-       else if ($1 $2 == "UpperRight")
-           ur = $6 " " $5;
-       else if ($1 $2 == "LowerRight")
-           lr = $6 " " $5;
-       else if ($1 == "Center") {
-           printf "%s\n%s\n%s\n%s\n\n", ul, ll, lr, ur;
-           ul = ll = ur = lr = "";
-       }
-   }
-   ' | Planimeter | cut -f3 -d' '
- -

SEE ALSO

- -

GeoConvert(1), GeodSolve(1).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/Planimeter.

- -

The algorithm for the area of geodesic polygon is given in Section 6 of C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI https://doi.org/10.1007/s00190-012-0578-z; addenda: https://geographiclib.sourceforge.io/geod-addenda.html.

- -

AUTHOR

- -

Planimeter was written by Charles Karney.

- -

HISTORY

- -

Planimeter was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.4.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/Planimeter.usage b/libs/GeographicLib-1.50.1/BUILD/man/Planimeter.usage deleted file mode 100644 index ec2dd72fb6121f8c70b09fc3b3c15f0741272f63..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/Planimeter.usage +++ /dev/null @@ -1,199 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" Planimeter [ -r ] [ -s ] [ -l ] [ -e a f ] [ -w ] [ -p prec ] [ -G | -E\n" -" | -Q | -R ] [ --comment-delimiter commentdelim ] [ --version | -h |\n" -" --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" Planimeter --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/Planimeter.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" Planimeter -- compute the area of geodesic polygons\n" -"\n" -"SYNOPSIS\n" -" Planimeter [ -r ] [ -s ] [ -l ] [ -e a f ] [ -w ] [ -p prec ] [ -G | -E\n" -" | -Q | -R ] [ --comment-delimiter commentdelim ] [ --version | -h |\n" -" --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" Measure the area of a geodesic polygon. Reads polygon vertices from\n" -" standard input, one per line. Vertices may be given as latitude and\n" -" longitude, UTM/UPS, or MGRS coordinates, interpreted in the same way as\n" -" GeoConvert(1). (MGRS coordinates signify the center of the\n" -" corresponding MGRS square.) The end of input, a blank line, or a line\n" -" which can't be interpreted as a vertex signals the end of one polygon\n" -" and the start of the next. For each polygon print a summary line with\n" -" the number of points, the perimeter (in meters), and the area (in\n" -" meters^2).\n" -"\n" -" The edges of the polygon are given by the shortest geodesic between\n" -" consecutive vertices. In certain cases, there may be two or many such\n" -" shortest geodesics, and in that case, the polygon is not uniquely\n" -" specified by its vertices. This only happens with very long edges (for\n" -" the WGS84 ellipsoid, any edge shorter than 19970 km is uniquely\n" -" specified by its end points). In such cases, insert an additional\n" -" vertex near the middle of the long edge to define the boundary of the\n" -" polygon.\n" -"\n" -" By default, polygons traversed in a counter-clockwise direction return\n" -" a positive area and those traversed in a clockwise direction return a\n" -" negative area. This sign convention is reversed if the -r option is\n" -" given.\n" -"\n" -" Of course, encircling an area in the clockwise direction is equivalent\n" -" to encircling the rest of the ellipsoid in the counter-clockwise\n" -" direction. The default interpretation used by Planimeter is the one\n" -" that results in a smaller magnitude of area; i.e., the magnitude of the\n" -" area is less than or equal to one half the total area of the ellipsoid.\n" -" If the -s option is given, then the interpretation used is the one that\n" -" results in a positive area; i.e., the area is positive and less than\n" -" the total area of the ellipsoid.\n" -"\n" -" Arbitrarily complex polygons are allowed. In the case of self-\n" -" intersecting polygons the area is accumulated \"algebraically\", e.g.,\n" -" the areas of the 2 loops in a figure-8 polygon will partially cancel.\n" -" Polygons may include one or both poles. There is no need to close the\n" -" polygon.\n" -"\n" -"OPTIONS\n" -" -r toggle whether counter-clockwise traversal of the polygon returns a\n" -" positive (the default) or negative result.\n" -"\n" -" -s toggle whether to return a signed result (the default) or not.\n" -"\n" -" -l toggle whether the vertices represent a polygon (the default) or a\n" -" polyline. For a polyline, the number of points and the length of\n" -" the path joining them is returned; the path is not closed and the\n" -" area is not reported.\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563. If entering vertices as UTM/UPS or\n" -" MGRS coordinates, use the default ellipsoid, since the conversion\n" -" of these coordinates to latitude and longitude always uses the\n" -" WGS84 parameters.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then when reading geographic coordinates, longitude precedes\n" -" latitude (this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 6); the perimeter is\n" -" given (in meters) with prec digits after the decimal point; the\n" -" area is given (in meters^2) with (prec - 5) digits after the\n" -" decimal point.\n" -"\n" -" -G use the series formulation for the geodesics. This is the default\n" -" option and is recommended for terrestrial applications. This\n" -" option, -G, and the following three options, -E, -Q, and -R, are\n" -" mutually exclusive.\n" -"\n" -" -E use \"exact\" algorithms (based on elliptic integrals) for the\n" -" geodesic calculations. These are more accurate than the (default)\n" -" series expansions for |f| > 0.02. (But note that the\n" -" implementation of areas in GeodesicExact uses a high order series\n" -" and this is only accurate for modest flattenings.)\n" -"\n" -" -Q perform the calculation on the authalic sphere. The area\n" -" calculation is accurate even if the flattening is large, provided\n" -" the edges are sufficiently short. The perimeter calculation is not\n" -" accurate.\n" -"\n" -" -R The lines joining the vertices are rhumb lines instead of\n" -" geodesics.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing. For a given polygon, the last such string found\n" -" will be appended to the output line (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"EXAMPLES\n" -" Example (the area of the 100km MGRS square 18SWK)\n" -"\n" -" Planimeter < 4 400139.53295860 10007388597.1913\n" -"\n" -" The following code takes the output from gdalinfo and reports the area\n" -" covered by the data (assuming the edges of the image are geodesics).\n" -"\n" -" #! /bin/sh\n" -" egrep '^((Upper|Lower) (Left|Right)|Center) ' |\n" -" sed -e 's/d /d/g' -e \"s/' /'/g\" | tr -s '(),\\r\\t' ' ' | awk '{\n" -" if ($1 $2 == \"UpperLeft\")\n" -" ul = $6 \" \" $5;\n" -" else if ($1 $2 == \"LowerLeft\")\n" -" ll = $6 \" \" $5;\n" -" else if ($1 $2 == \"UpperRight\")\n" -" ur = $6 \" \" $5;\n" -" else if ($1 $2 == \"LowerRight\")\n" -" lr = $6 \" \" $5;\n" -" else if ($1 == \"Center\") {\n" -" printf \"%s\\n%s\\n%s\\n%s\\n\\n\", ul, ll, lr, ur;\n" -" ul = ll = ur = lr = \"\";\n" -" }\n" -" }\n" -" ' | Planimeter | cut -f3 -d' '\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1), GeodSolve(1).\n" -"\n" -" An online version of this utility is availbable at\n" -" .\n" -"\n" -" The algorithm for the area of geodesic polygon is given in Section 6 of\n" -" C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013);\n" -" DOI ; addenda:\n" -" .\n" -"\n" -"AUTHOR\n" -" Planimeter was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" Planimeter was added to GeographicLib,\n" -" , in version 1.4.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.1 b/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.1 deleted file mode 100644 index 6f935c9773dac84787b65d0fb221d9a8fe381035..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.1 +++ /dev/null @@ -1,352 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Of course, you'll have to process the -.\" output yourself in some meaningful fashion. -.\" -.\" Avoid warning from groff about undefined register 'F'. -.de IX -.. -.if !\nF .nr F 0 -.if \nF>0 \{\ -. de IX -. tm Index:\\$1\t\\n%\t"\\$2" -.. -. if !\nF==2 \{\ -. nr % 0 -. nr F 2 -. \} -.\} -.\" -.\" Accent mark definitions (@(#)ms.acc 1.5 88/02/08 SMI; from UCB 4.2). -.\" Fear. Run. Save yourself. No user-serviceable parts. -. \" fudge factors for nroff and troff -.if n \{\ -. ds #H 0 -. ds #V .8m -. ds #F .3m -. ds #[ \f1 -. ds #] \fP -.\} -.if t \{\ -. ds #H ((1u-(\\\\n(.fu%2u))*.13m) -. ds #V .6m -. ds #F 0 -. ds #[ \& -. ds #] \& -.\} -. \" simple accents for nroff and troff -.if n \{\ -. ds ' \& -. ds ` \& -. ds ^ \& -. ds , \& -. ds ~ ~ -. ds / -.\} -.if t \{\ -. ds ' \\k:\h'-(\\n(.wu*8/10-\*(#H)'\'\h"|\\n:u" -. ds ` \\k:\h'-(\\n(.wu*8/10-\*(#H)'\`\h'|\\n:u' -. ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'^\h'|\\n:u' -. ds , \\k:\h'-(\\n(.wu*8/10)',\h'|\\n:u' -. ds ~ \\k:\h'-(\\n(.wu-\*(#H-.1m)'~\h'|\\n:u' -. ds / \\k:\h'-(\\n(.wu*8/10-\*(#H)'\z\(sl\h'|\\n:u' -.\} -. \" troff and (daisy-wheel) nroff accents -.ds : \\k:\h'-(\\n(.wu*8/10-\*(#H+.1m+\*(#F)'\v'-\*(#V'\z.\h'.2m+\*(#F'.\h'|\\n:u'\v'\*(#V' -.ds 8 \h'\*(#H'\(*b\h'-\*(#H' -.ds o \\k:\h'-(\\n(.wu+\w'\(de'u-\*(#H)/2u'\v'-.3n'\*(#[\z\(de\v'.3n'\h'|\\n:u'\*(#] -.ds d- \h'\*(#H'\(pd\h'-\w'~'u'\v'-.25m'\f2\(hy\fP\v'.25m'\h'-\*(#H' -.ds D- D\\k:\h'-\w'D'u'\v'-.11m'\z\(hy\v'.11m'\h'|\\n:u' -.ds th \*(#[\v'.3m'\s+1I\s-1\v'-.3m'\h'-(\w'I'u*2/3)'\s-1o\s+1\*(#] -.ds Th \*(#[\s+2I\s-2\h'-\w'I'u*3/5'\v'-.3m'o\v'.3m'\*(#] -.ds ae a\h'-(\w'a'u*4/10)'e -.ds Ae A\h'-(\w'A'u*4/10)'E -. \" corrections for vroff -.if v .ds ~ \\k:\h'-(\\n(.wu*9/10-\*(#H)'\s-2\u~\d\s+2\h'|\\n:u' -.if v .ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'\v'-.4m'^\v'.4m'\h'|\\n:u' -. \" for low resolution devices (crt and lpr) -.if \n(.H>23 .if \n(.V>19 \ -\{\ -. ds : e -. ds 8 ss -. ds o a -. ds d- d\h'-1'\(ga -. ds D- D\h'-1'\(hy -. ds th \o'bp' -. ds Th \o'LP' -. ds ae ae -. ds Ae AE -.\} -.rm #[ #] #H #V #F C -.\" ======================================================================== -.\" -.IX Title "RHUMBSOLVE 1" -.TH RHUMBSOLVE 1 "2019-12-12" "GeographicLib 1.50.1" "GeographicLib Utilities" -.\" For nroff, turn off justification. Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -RhumbSolve \-\- perform rhumb line calculations -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBRhumbSolve\fR [ \fB\-i\fR | \fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi12\fR ] -[ \fB\-e\fR \fIa\fR \fIf\fR ] -[ \fB\-d\fR | \fB\-:\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] [ \fB\-s\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -The path with constant heading between two points on the ellipsoid at -(\fIlat1\fR, \fIlon1\fR) and (\fIlat2\fR, \fIlon2\fR) is called the rhumb line or -loxodrome. Its length is \fIs12\fR and the rhumb line has a forward -azimuth \fIazi12\fR along its length. Also computed is \fIS12\fR is the area -between the rhumb line from point 1 to point 2 and the equator; i.e., it -is the area, measured counter-clockwise, of the geodesic quadrilateral -with corners (\fIlat1\fR,\fIlon1\fR), (0,\fIlon1\fR), (0,\fIlon2\fR), and -(\fIlat2\fR,\fIlon2\fR). A point at a pole is treated as a point a tiny -distance away from the pole on the given line of longitude. The -longitude becomes indeterminate when a rhumb line passes through a pole, -and \fBRhumbSolve\fR reports NaNs for the longitude and the area in this -case. -.PP -\&\fB\s-1NOTE:\s0\fR the rhumb line is \fBnot\fR the shortest path between two points; -that is the geodesic and it is calculated by \fIGeodSolve\fR\|(1). -.PP -\&\fBRhumbSolve\fR operates in one of three modes: -.IP "1." 4 -By default, \fBRhumbSolve\fR accepts lines on the standard input containing -\&\fIlat1\fR \fIlon1\fR \fIazi12\fR \fIs12\fR and prints \fIlat2\fR \fIlon2\fR \fIS12\fR on -standard output. This is the direct calculation. -.IP "2." 4 -With the \fB\-i\fR command line argument, \fBRhumbSolve\fR performs the inverse -calculation. It reads lines containing \fIlat1\fR \fIlon1\fR \fIlat2\fR \fIlon2\fR -and prints the values of \fIazi12\fR \fIs12\fR \fIS12\fR for the corresponding -shortest rhumb lines. If the end points are on opposite meridians, -there are two shortest rhumb lines and the east-going one is chosen. -.IP "3." 4 -Command line arguments \fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi12\fR specify a rhumb -line. \fBRhumbSolve\fR then accepts a sequence of \fIs12\fR values (one per -line) on standard input and prints \fIlat2\fR \fIlon2\fR \fIS12\fR for each. -This generates a sequence of points on a rhumb line. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-i\fR" 4 -.IX Item "-i" -perform an inverse calculation (see 2 above). -.IP "\fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi12\fR" 4 -.IX Item "-L lat1 lon1 azi12" -line mode (see 3 above); generate a sequence of points along the rhumb -line specified by \fIlat1\fR \fIlon1\fR \fIazi12\fR. The \fB\-w\fR flag can be used -to swap the default order of the 2 geographic coordinates, provided that -it appears before \fB\-L\fR. (\fB\-l\fR is an alternative, deprecated, spelling -of this flag.) -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-d\fR" 4 -.IX Item "-d" -output angles as degrees, minutes, seconds instead of decimal degrees. -.IP "\fB\-:\fR" 4 -.IX Item "-:" -like \fB\-d\fR, except use : as a separator instead of the d, ', and " -delimiters. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -on input and output, longitude precedes latitude (except that on input -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 3); \fIprec\fR is the -precision relative to 1 m. See \*(L"\s-1PRECISION\*(R"\s0. -.IP "\fB\-s\fR" 4 -.IX Item "-s" -By default, the rhumb line calculations are carried out exactly in terms -of elliptic integrals. This includes the use of the addition theorem -for elliptic integrals to compute the divided difference of the -isometric and rectifying latitudes. If \fB\-s\fR is supplied this divided -difference is computed using Krueger series for the transverse Mercator -projection which is only accurate for |\fIf\fR| < 0.01. See -\&\*(L"\s-1ACCURACY\*(R"\s0. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "INPUT" -.IX Header "INPUT" -\&\fBRhumbSolve\fR measures all angles in degrees, all lengths (\fIs12\fR) in -meters, and all areas (\fIS12\fR) in meters^2. On input angles (latitude, -longitude, azimuth, arc length) can be as decimal degrees or degrees, -minutes, seconds. For example, \f(CW\*(C`40d30\*(C'\fR, \f(CW\*(C`40d30\*(Aq\*(C'\fR, \f(CW\*(C`40:30\*(C'\fR, \f(CW\*(C`40.5d\*(C'\fR, -and \f(CW40.5\fR are all equivalent. By default, latitude precedes longitude -for each point (the \fB\-w\fR flag switches this convention); however on -input either may be given first by appending (or prepending) \fIN\fR or -\&\fIS\fR to the latitude and \fIE\fR or \fIW\fR to the longitude. Azimuths are -measured clockwise from north; however this may be overridden with \fIE\fR -or \fIW\fR. -.PP -For details on the allowed formats for angles, see the \f(CW\*(C`GEOGRAPHIC -COORDINATES\*(C'\fR section of \fIGeoConvert\fR\|(1). -.SH "PRECISION" -.IX Header "PRECISION" -\&\fIprec\fR gives precision of the output with \fIprec\fR = 0 giving 1 m -precision, \fIprec\fR = 3 giving 1 mm precision, etc. \fIprec\fR is the -number of digits after the decimal point for lengths. For decimal -degrees, the number of digits after the decimal point is \fIprec\fR + 5. -For \s-1DMS\s0 (degree, minute, seconds) output, the number of digits after the -decimal point in the seconds component is \fIprec\fR + 1. The minimum -value of \fIprec\fR is 0 and the maximum is 10. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBRhumbSolve\fR to return an exit code -of 1. However, an error does not cause \fBRhumbSolve\fR to terminate; -following lines will be converted. -.SH "ACCURACY" -.IX Header "ACCURACY" -The algorithm used by \fBRhumbSolve\fR uses exact formulas for converting -between the latitude, rectifying latitude (\fImu\fR), and isometric -latitude (\fIpsi\fR). These formulas are accurate for any value of the -flattening. The computation of rhumb lines involves the ratio (\fIpsi1\fR -\&\- \fIpsi2\fR) / (\fImu1\fR \- \fImu2\fR) and this is subject to large round-off -errors if \fIlat1\fR is close to \fIlat2\fR. So this ratio is computed using -divided differences using one of two methods: by default, this uses the -addition theorem for elliptic integrals (accurate for all values of -\&\fIf\fR); however, with the \fB\-s\fR options, it is computed using the series -expansions used by \fITransverseMercatorProj\fR\|(1) for the conversions between -rectifying and conformal latitudes (accurate for |\fIf\fR| < 0.01). -For the \s-1WGS84\s0 ellipsoid, the error is about 10 nanometers using either -method. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -Route from \s-1JFK\s0 Airport to Singapore Changi Airport: -.PP -.Vb 2 -\& echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E | -\& RhumbSolve \-i \-: \-p 0 -\& -\& 103:34:58.2 18523563 -.Ve -.PP -N.B. This is \fBnot\fR the route typically taken by aircraft because it's -considerably longer than the geodesic given by \fIGeodSolve\fR\|(1). -.PP -Waypoints on the route at intervals of 2000km: -.PP -.Vb 2 -\& for ((i = 0; i <= 20; i += 2)); do echo ${i}000000;done | -\& RhumbSolve \-L 40:38:23N 073:46:44W 103:34:58.2 \-: \-p 0 -\& -\& 40:38:23.0N 073:46:44.0W 0 -\& 36:24:30.3N 051:28:26.4W 9817078307821 -\& 32:10:26.8N 030:20:57.3W 18224745682005 -\& 27:56:13.2N 010:10:54.2W 25358020327741 -\& 23:41:50.1N 009:12:45.5E 31321269267102 -\& 19:27:18.7N 027:59:22.1E 36195163180159 -\& 15:12:40.2N 046:17:01.1E 40041499143669 -\& 10:57:55.9N 064:12:52.8E 42906570007050 -\& 06:43:07.3N 081:53:28.8E 44823504180200 -\& 02:28:16.2N 099:24:54.5E 45813843358737 -\& 01:46:36.0S 116:52:59.7E 45888525219677 -.Ve -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fIGeoConvert\fR\|(1), \fIGeodSolve\fR\|(1), \fITransverseMercatorProj\fR\|(1). -.PP -An online version of this utility is availbable at -. -.PP -The Wikipedia page, Rhumb line, -. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBRhumbSolve\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBRhumbSolve\fR was added to GeographicLib, -, in version 1.37. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.1.html b/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.1.html deleted file mode 100644 index d04916df0f69b43a5231ea1d97c8d81d8157ef7c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.1.html +++ /dev/null @@ -1,212 +0,0 @@ - - - - -RhumbSolve(1) - - - - - - - - -

NAME

- -

RhumbSolve -- perform rhumb line calculations

- -

SYNOPSIS

- -

RhumbSolve [ -i | -L lat1 lon1 azi12 ] [ -e a f ] [ -d | -: ] [ -w ] [ -p prec ] [ -s ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

The path with constant heading between two points on the ellipsoid at (lat1, lon1) and (lat2, lon2) is called the rhumb line or loxodrome. Its length is s12 and the rhumb line has a forward azimuth azi12 along its length. Also computed is S12 is the area between the rhumb line from point 1 to point 2 and the equator; i.e., it is the area, measured counter-clockwise, of the geodesic quadrilateral with corners (lat1,lon1), (0,lon1), (0,lon2), and (lat2,lon2). A point at a pole is treated as a point a tiny distance away from the pole on the given line of longitude. The longitude becomes indeterminate when a rhumb line passes through a pole, and RhumbSolve reports NaNs for the longitude and the area in this case.

- -

NOTE: the rhumb line is not the shortest path between two points; that is the geodesic and it is calculated by GeodSolve(1).

- -

RhumbSolve operates in one of three modes:

- -
    - -

  1. By default, RhumbSolve accepts lines on the standard input containing lat1 lon1 azi12 s12 and prints lat2 lon2 S12 on standard output. This is the direct calculation.

    - -
    2. -

  2. With the -i command line argument, RhumbSolve performs the inverse calculation. It reads lines containing lat1 lon1 lat2 lon2 and prints the values of azi12 s12 S12 for the corresponding shortest rhumb lines. If the end points are on opposite meridians, there are two shortest rhumb lines and the east-going one is chosen.

    - -
    3. -

  3. Command line arguments -L lat1 lon1 azi12 specify a rhumb line. RhumbSolve then accepts a sequence of s12 values (one per line) on standard input and prints lat2 lon2 S12 for each. This generates a sequence of points on a rhumb line.

    - -
    4. -
- -

OPTIONS

- -
- -
-i
-
- -

perform an inverse calculation (see 2 above).

- -
-
-L lat1 lon1 azi12
-
- -

line mode (see 3 above); generate a sequence of points along the rhumb line specified by lat1 lon1 azi12. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -L. (-l is an alternative, deprecated, spelling of this flag.)

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-d
-
- -

output angles as degrees, minutes, seconds instead of decimal degrees.

- -
-
-:
-
- -

like -d, except use : as a separator instead of the d, ', and " delimiters.

- -
-
-w
-
- -

on input and output, longitude precedes latitude (except that on input this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 3); prec is the precision relative to 1 m. See "PRECISION".

- -
-
-s
-
- -

By default, the rhumb line calculations are carried out exactly in terms of elliptic integrals. This includes the use of the addition theorem for elliptic integrals to compute the divided difference of the isometric and rectifying latitudes. If -s is supplied this divided difference is computed using Krueger series for the transverse Mercator projection which is only accurate for |f| < 0.01. See "ACCURACY".

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

INPUT

- -

RhumbSolve measures all angles in degrees, all lengths (s12) in meters, and all areas (S12) in meters^2. On input angles (latitude, longitude, azimuth, arc length) can be as decimal degrees or degrees, minutes, seconds. For example, 40d30, 40d30', 40:30, 40.5d, and 40.5 are all equivalent. By default, latitude precedes longitude for each point (the -w flag switches this convention); however on input either may be given first by appending (or prepending) N or S to the latitude and E or W to the longitude. Azimuths are measured clockwise from north; however this may be overridden with E or W.

- -

For details on the allowed formats for angles, see the GEOGRAPHIC COORDINATES section of GeoConvert(1).

- -

PRECISION

- -

prec gives precision of the output with prec = 0 giving 1 m precision, prec = 3 giving 1 mm precision, etc. prec is the number of digits after the decimal point for lengths. For decimal degrees, the number of digits after the decimal point is prec + 5. For DMS (degree, minute, seconds) output, the number of digits after the decimal point in the seconds component is prec + 1. The minimum value of prec is 0 and the maximum is 10.

- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes RhumbSolve to return an exit code of 1. However, an error does not cause RhumbSolve to terminate; following lines will be converted.

- -

ACCURACY

- -

The algorithm used by RhumbSolve uses exact formulas for converting between the latitude, rectifying latitude (mu), and isometric latitude (psi). These formulas are accurate for any value of the flattening. The computation of rhumb lines involves the ratio (psi1 - psi2) / (mu1 - mu2) and this is subject to large round-off errors if lat1 is close to lat2. So this ratio is computed using divided differences using one of two methods: by default, this uses the addition theorem for elliptic integrals (accurate for all values of f); however, with the -s options, it is computed using the series expansions used by TransverseMercatorProj(1) for the conversions between rectifying and conformal latitudes (accurate for |f| < 0.01). For the WGS84 ellipsoid, the error is about 10 nanometers using either method.

- -

EXAMPLES

- -

Route from JFK Airport to Singapore Changi Airport:

- -
   echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E |
-   RhumbSolve -i -: -p 0
-
-   103:34:58.2 18523563
- -

N.B. This is not the route typically taken by aircraft because it's considerably longer than the geodesic given by GeodSolve(1).

- -

Waypoints on the route at intervals of 2000km:

- -
   for ((i = 0; i <= 20; i += 2)); do echo ${i}000000;done |
-   RhumbSolve -L 40:38:23N 073:46:44W 103:34:58.2 -: -p 0
-
-   40:38:23.0N 073:46:44.0W 0
-   36:24:30.3N 051:28:26.4W 9817078307821
-   32:10:26.8N 030:20:57.3W 18224745682005
-   27:56:13.2N 010:10:54.2W 25358020327741
-   23:41:50.1N 009:12:45.5E 31321269267102
-   19:27:18.7N 027:59:22.1E 36195163180159
-   15:12:40.2N 046:17:01.1E 40041499143669
-   10:57:55.9N 064:12:52.8E 42906570007050
-   06:43:07.3N 081:53:28.8E 44823504180200
-   02:28:16.2N 099:24:54.5E 45813843358737
-   01:46:36.0S 116:52:59.7E 45888525219677
- -

SEE ALSO

- -

GeoConvert(1), GeodSolve(1), TransverseMercatorProj(1).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/RhumbSolve.

- -

The Wikipedia page, Rhumb line, https://en.wikipedia.org/wiki/Rhumb_line.

- -

AUTHOR

- -

RhumbSolve was written by Charles Karney.

- -

HISTORY

- -

RhumbSolve was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.37.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.usage b/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.usage deleted file mode 100644 index 17885f6856e4dfa64e9deb8f87c82cfba135e74e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/RhumbSolve.usage +++ /dev/null @@ -1,217 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" RhumbSolve [ -i | -L lat1 lon1 azi12 ] [ -e a f ] [ -d | -: ] [ -w ] [\n" -" -p prec ] [ -s ] [ --comment-delimiter commentdelim ] [ --version | -h\n" -" | --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" RhumbSolve --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/RhumbSolve.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" RhumbSolve -- perform rhumb line calculations\n" -"\n" -"SYNOPSIS\n" -" RhumbSolve [ -i | -L lat1 lon1 azi12 ] [ -e a f ] [ -d | -: ] [ -w ] [\n" -" -p prec ] [ -s ] [ --comment-delimiter commentdelim ] [ --version | -h\n" -" | --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" The path with constant heading between two points on the ellipsoid at\n" -" (lat1, lon1) and (lat2, lon2) is called the rhumb line or loxodrome.\n" -" Its length is s12 and the rhumb line has a forward azimuth azi12 along\n" -" its length. Also computed is S12 is the area between the rhumb line\n" -" from point 1 to point 2 and the equator; i.e., it is the area, measured\n" -" counter-clockwise, of the geodesic quadrilateral with corners\n" -" (lat1,lon1), (0,lon1), (0,lon2), and (lat2,lon2). A point at a pole is\n" -" treated as a point a tiny distance away from the pole on the given line\n" -" of longitude. The longitude becomes indeterminate when a rhumb line\n" -" passes through a pole, and RhumbSolve reports NaNs for the longitude\n" -" and the area in this case.\n" -"\n" -" NOTE: the rhumb line is not the shortest path between two points; that\n" -" is the geodesic and it is calculated by GeodSolve(1).\n" -"\n" -" RhumbSolve operates in one of three modes:\n" -"\n" -" 1. By default, RhumbSolve accepts lines on the standard input\n" -" containing lat1 lon1 azi12 s12 and prints lat2 lon2 S12 on standard\n" -" output. This is the direct calculation.\n" -"\n" -" 2. With the -i command line argument, RhumbSolve performs the inverse\n" -" calculation. It reads lines containing lat1 lon1 lat2 lon2 and\n" -" prints the values of azi12 s12 S12 for the corresponding shortest\n" -" rhumb lines. If the end points are on opposite meridians, there\n" -" are two shortest rhumb lines and the east-going one is chosen.\n" -"\n" -" 3. Command line arguments -L lat1 lon1 azi12 specify a rhumb line.\n" -" RhumbSolve then accepts a sequence of s12 values (one per line) on\n" -" standard input and prints lat2 lon2 S12 for each. This generates a\n" -" sequence of points on a rhumb line.\n" -"\n" -"OPTIONS\n" -" -i perform an inverse calculation (see 2 above).\n" -"\n" -" -L lat1 lon1 azi12\n" -" line mode (see 3 above); generate a sequence of points along the\n" -" rhumb line specified by lat1 lon1 azi12. The -w flag can be used\n" -" to swap the default order of the 2 geographic coordinates, provided\n" -" that it appears before -L. (-l is an alternative, deprecated,\n" -" spelling of this flag.)\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -d output angles as degrees, minutes, seconds instead of decimal\n" -" degrees.\n" -"\n" -" -: like -d, except use : as a separator instead of the d, ', and \"\n" -" delimiters.\n" -"\n" -" -w on input and output, longitude precedes latitude (except that on\n" -" input this can be overridden by a hemisphere designator, N, S, E,\n" -" W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 3); prec is the precision\n" -" relative to 1 m. See \"PRECISION\".\n" -"\n" -" -s By default, the rhumb line calculations are carried out exactly in\n" -" terms of elliptic integrals. This includes the use of the addition\n" -" theorem for elliptic integrals to compute the divided difference of\n" -" the isometric and rectifying latitudes. If -s is supplied this\n" -" divided difference is computed using Krueger series for the\n" -" transverse Mercator projection which is only accurate for |f| <\n" -" 0.01. See \"ACCURACY\".\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"INPUT\n" -" RhumbSolve measures all angles in degrees, all lengths (s12) in meters,\n" -" and all areas (S12) in meters^2. On input angles (latitude, longitude,\n" -" azimuth, arc length) can be as decimal degrees or degrees, minutes,\n" -" seconds. For example, \"40d30\", \"40d30'\", \"40:30\", \"40.5d\", and 40.5\n" -" are all equivalent. By default, latitude precedes longitude for each\n" -" point (the -w flag switches this convention); however on input either\n" -" may be given first by appending (or prepending) N or S to the latitude\n" -" and E or W to the longitude. Azimuths are measured clockwise from\n" -" north; however this may be overridden with E or W.\n" -"\n" -" For details on the allowed formats for angles, see the \"GEOGRAPHIC\n" -" COORDINATES\" section of GeoConvert(1).\n" -"\n" -"PRECISION\n" -" prec gives precision of the output with prec = 0 giving 1 m precision,\n" -" prec = 3 giving 1 mm precision, etc. prec is the number of digits\n" -" after the decimal point for lengths. For decimal degrees, the number\n" -" of digits after the decimal point is prec + 5. For DMS (degree,\n" -" minute, seconds) output, the number of digits after the decimal point\n" -" in the seconds component is prec + 1. The minimum value of prec is 0\n" -" and the maximum is 10.\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes RhumbSolve to return an exit code of\n" -" 1. However, an error does not cause RhumbSolve to terminate; following\n" -" lines will be converted.\n" -"\n" -"ACCURACY\n" -" The algorithm used by RhumbSolve uses exact formulas for converting\n" -" between the latitude, rectifying latitude (mu), and isometric latitude\n" -" (psi). These formulas are accurate for any value of the flattening.\n" -" The computation of rhumb lines involves the ratio (psi1 - psi2) / (mu1\n" -" - mu2) and this is subject to large round-off errors if lat1 is close\n" -" to lat2. So this ratio is computed using divided differences using one\n" -" of two methods: by default, this uses the addition theorem for elliptic\n" -" integrals (accurate for all values of f); however, with the -s options,\n" -" it is computed using the series expansions used by\n" -" TransverseMercatorProj(1) for the conversions between rectifying and\n" -" conformal latitudes (accurate for |f| < 0.01). For the WGS84\n" -" ellipsoid, the error is about 10 nanometers using either method.\n" -"\n" -"EXAMPLES\n" -" Route from JFK Airport to Singapore Changi Airport:\n" -"\n" -" echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E |\n" -" RhumbSolve -i -: -p 0\n" -"\n" -" 103:34:58.2 18523563\n" -"\n" -" N.B. This is not the route typically taken by aircraft because it's\n" -" considerably longer than the geodesic given by GeodSolve(1).\n" -"\n" -" Waypoints on the route at intervals of 2000km:\n" -"\n" -" for ((i = 0; i <= 20; i += 2)); do echo ${i}000000;done |\n" -" RhumbSolve -L 40:38:23N 073:46:44W 103:34:58.2 -: -p 0\n" -"\n" -" 40:38:23.0N 073:46:44.0W 0\n" -" 36:24:30.3N 051:28:26.4W 9817078307821\n" -" 32:10:26.8N 030:20:57.3W 18224745682005\n" -" 27:56:13.2N 010:10:54.2W 25358020327741\n" -" 23:41:50.1N 009:12:45.5E 31321269267102\n" -" 19:27:18.7N 027:59:22.1E 36195163180159\n" -" 15:12:40.2N 046:17:01.1E 40041499143669\n" -" 10:57:55.9N 064:12:52.8E 42906570007050\n" -" 06:43:07.3N 081:53:28.8E 44823504180200\n" -" 02:28:16.2N 099:24:54.5E 45813843358737\n" -" 01:46:36.0S 116:52:59.7E 45888525219677\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1), GeodSolve(1), TransverseMercatorProj(1).\n" -"\n" -" An online version of this utility is availbable at\n" -" .\n" -"\n" -" The Wikipedia page, Rhumb line,\n" -" .\n" -"\n" -"AUTHOR\n" -" RhumbSolve was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" RhumbSolve was added to GeographicLib,\n" -" , in version 1.37.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.1 b/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.1 deleted file mode 100644 index cbbdc6b923403daf0c995bd42fc31931d0bef68a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.1 +++ /dev/null @@ -1,280 +0,0 @@ -.\" Automatically generated by Pod::Man 4.09 (Pod::Simple 3.35) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -TransverseMercatorProj \-\- perform transverse Mercator projection -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBTransverseMercatorProj\fR [ \fB\-s\fR | \fB\-t\fR ] -[ \fB\-l\fR \fIlon0\fR ] [ \fB\-k\fR \fIk0\fR ] [ \fB\-r\fR ] -[ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -Perform the transverse Mercator projections. Convert geodetic -coordinates to transverse Mercator coordinates. The central meridian is -given by \fIlon0\fR. The longitude of origin is the equator. The scale on -the central meridian is \fIk0\fR. By default an implementation of the -exact transverse Mercator projection is used. -.PP -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) \fIlatitude\fR and \fIlongitude\fR (decimal -degrees or degrees, minutes, seconds); for detils on the allowed -formats for latitude and longitude, see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR -section of \fIGeoConvert\fR\|(1). For each set of geodetic coordinates, the -corresponding projected easting, \fIx\fR, and northing, \fIy\fR, (meters) are -printed on standard output together with the meridian convergence -\&\fIgamma\fR (degrees) and scale \fIk\fR. The meridian convergence is the -bearing of grid north (the \fIy\fR axis) measured clockwise from true north. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-s\fR" 4 -.IX Item "-s" -use the sixth-order Krueger series approximation to the transverse -Mercator projection instead of the exact projection. -.IP "\fB\-t\fR" 4 -.IX Item "-t" -use the exact algorithm with the \*(L"\s-1EXTENDED DOMAIN\*(R"\s0. -.IP "\fB\-l\fR \fIlon0\fR" 4 -.IX Item "-l lon0" -specify the longitude of origin \fIlon0\fR (degrees, default 0). -.IP "\fB\-k\fR \fIk0\fR" 4 -.IX Item "-k k0" -specify the scale \fIk0\fR on the central meridian (default 0.9996). -.IP "\fB\-r\fR" 4 -.IX Item "-r" -perform the reverse projection. \fIx\fR and \fIy\fR are given on standard -input and each line of standard output gives \fIlatitude\fR, \fIlongitude\fR, -\&\fIgamma\fR, and \fIk\fR. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. If the exact algorithm is used, \fIf\fR -must be positive. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -on input and output, longitude precedes latitude (except that on input -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 6). \fIprec\fR is the number -of digits after the decimal point for lengths (in meters). For -latitudes and longitudes (in degrees), the number of digits after the -decimal point is \fIprec\fR + 5. For the convergence (in degrees) and -scale, the number of digits after the decimal point is \fIprec\fR + 6. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "EXTENDED DOMAIN" -.IX Header "EXTENDED DOMAIN" -The exact transverse Mercator projection has a \fIbranch point\fR on the -equator at longitudes (relative to \fIlon0\fR) of +/\- (1 \- \fIe\fR) 90, where -\&\fIe\fR is the eccentricity of the ellipsoid. The standard convention for -handling this branch point is to map positive (negative) latitudes into -positive (negative) northings \fIy\fR; i.e., a branch cut is placed on the -equator. With the \fIextended\fR domain, the northern sheet of the -projection is extended into the south hemisphere by pushing the branch -cut south from the branch points. See the reference below for details. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 4 -\& echo 0 90 | TransverseMercatorProj -\& => 25953592.84 9997964.94 90 18.40 -\& echo 260e5 100e5 | TransverseMercatorProj \-r -\& => \-0.02 90.00 90.01 18.48 -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBTransverseMercatorProj\fR to return an exit -code of 1. However, an error does not cause \fBTransverseMercatorProj\fR to -terminate; following lines will be converted. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBTransverseMercatorProj\fR was written by Charles Karney. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -The algorithms for the transverse Mercator projection are described in -C. F. F. Karney, \fITransverse Mercator with an accuracy of a few -nanometers\fR, J. Geodesy \fB85\fR(8), 475\-485 (Aug. 2011); \s-1DOI\s0 -; preprint -. The explanation of the extended -domain of the projection with the \fB\-t\fR option is given in Section 5 of -this paper. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBTransverseMercatorProj\fR was added to GeographicLib, -, in 2009\-01. -Prior to version 1.9 it was called TransverseMercatorTest (and its -interface was slightly different). diff --git a/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.1.html b/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.1.html deleted file mode 100644 index d1b9e4e84d35b62e6b45eb128e81fc8fa54fd275..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.1.html +++ /dev/null @@ -1,162 +0,0 @@ - - - - -TransverseMercatorProj(1) - - - - - - - - -

NAME

- -

TransverseMercatorProj -- perform transverse Mercator projection

- -

SYNOPSIS

- -

TransverseMercatorProj [ -s | -t ] [ -l lon0 ] [ -k k0 ] [ -r ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Perform the transverse Mercator projections. Convert geodetic coordinates to transverse Mercator coordinates. The central meridian is given by lon0. The longitude of origin is the equator. The scale on the central meridian is k0. By default an implementation of the exact transverse Mercator projection is used.

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude and longitude (decimal degrees or degrees, minutes, seconds); for detils on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding projected easting, x, and northing, y, (meters) are printed on standard output together with the meridian convergence gamma (degrees) and scale k. The meridian convergence is the bearing of grid north (the y axis) measured clockwise from true north.

- -

OPTIONS

- -
- -
-s
-
- -

use the sixth-order Krueger series approximation to the transverse Mercator projection instead of the exact projection.

- -
-
-t
-
- -

use the exact algorithm with the "EXTENDED DOMAIN".

- -
-
-l lon0
-
- -

specify the longitude of origin lon0 (degrees, default 0).

- -
-
-k k0
-
- -

specify the scale k0 on the central meridian (default 0.9996).

- -
-
-r
-
- -

perform the reverse projection. x and y are given on standard input and each line of standard output gives latitude, longitude, gamma, and k.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563. If the exact algorithm is used, f must be positive.

- -
-
-w
-
- -

on input and output, longitude precedes latitude (except that on input this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for lengths (in meters). For latitudes and longitudes (in degrees), the number of digits after the decimal point is prec + 5. For the convergence (in degrees) and scale, the number of digits after the decimal point is prec + 6.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXTENDED DOMAIN

- -

The exact transverse Mercator projection has a branch point on the equator at longitudes (relative to lon0) of +/- (1 - e) 90, where e is the eccentricity of the ellipsoid. The standard convention for handling this branch point is to map positive (negative) latitudes into positive (negative) northings y; i.e., a branch cut is placed on the equator. With the extended domain, the northern sheet of the projection is extended into the south hemisphere by pushing the branch cut south from the branch points. See the reference below for details.

- -

EXAMPLES

- -
   echo 0 90 | TransverseMercatorProj
-   => 25953592.84 9997964.94 90 18.40
-   echo 260e5 100e5 | TransverseMercatorProj -r
-   => -0.02 90.00 90.01 18.48
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes TransverseMercatorProj to return an exit code of 1. However, an error does not cause TransverseMercatorProj to terminate; following lines will be converted.

- -

AUTHOR

- -

TransverseMercatorProj was written by Charles Karney.

- -

SEE ALSO

- -

The algorithms for the transverse Mercator projection are described in C. F. F. Karney, Transverse Mercator with an accuracy of a few nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI https://doi.org/10.1007/s00190-011-0445-3; preprint https://arxiv.org/abs/1002.1417. The explanation of the extended domain of the projection with the -t option is given in Section 5 of this paper.

- -

HISTORY

- -

TransverseMercatorProj was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-01. Prior to version 1.9 it was called TransverseMercatorTest (and its interface was slightly different).

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.usage b/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.usage deleted file mode 100644 index 0640c335e6e69c9778b0d17cca03514ba48e35e7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.usage +++ /dev/null @@ -1,151 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" TransverseMercatorProj [ -s | -t ] [ -l lon0 ] [ -k k0 ] [ -r ] [ -e a\n" -" f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version\n" -" | -h | --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" TransverseMercatorProj --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/TransverseMercatorProj.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" TransverseMercatorProj -- perform transverse Mercator projection\n" -"\n" -"SYNOPSIS\n" -" TransverseMercatorProj [ -s | -t ] [ -l lon0 ] [ -k k0 ] [ -r ] [ -e a\n" -" f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version\n" -" | -h | --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" Perform the transverse Mercator projections. Convert geodetic\n" -" coordinates to transverse Mercator coordinates. The central meridian\n" -" is given by lon0. The longitude of origin is the equator. The scale\n" -" on the central meridian is k0. By default an implementation of the\n" -" exact transverse Mercator projection is used.\n" -"\n" -" Geodetic coordinates are provided on standard input as a set of lines\n" -" containing (blank separated) latitude and longitude (decimal degrees or\n" -" degrees, minutes, seconds); for detils on the allowed formats for\n" -" latitude and longitude, see the \"GEOGRAPHIC COORDINATES\" section of\n" -" GeoConvert(1). For each set of geodetic coordinates, the corresponding\n" -" projected easting, x, and northing, y, (meters) are printed on standard\n" -" output together with the meridian convergence gamma (degrees) and scale\n" -" k. The meridian convergence is the bearing of grid north (the y axis)\n" -" measured clockwise from true north.\n" -"\n" -"OPTIONS\n" -" -s use the sixth-order Krueger series approximation to the transverse\n" -" Mercator projection instead of the exact projection.\n" -"\n" -" -t use the exact algorithm with the \"EXTENDED DOMAIN\".\n" -"\n" -" -l lon0\n" -" specify the longitude of origin lon0 (degrees, default 0).\n" -"\n" -" -k k0\n" -" specify the scale k0 on the central meridian (default 0.9996).\n" -"\n" -" -r perform the reverse projection. x and y are given on standard\n" -" input and each line of standard output gives latitude, longitude,\n" -" gamma, and k.\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563. If the exact algorithm is used, f\n" -" must be positive.\n" -"\n" -" -w on input and output, longitude precedes latitude (except that on\n" -" input this can be overridden by a hemisphere designator, N, S, E,\n" -" W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 6). prec is the number\n" -" of digits after the decimal point for lengths (in meters). For\n" -" latitudes and longitudes (in degrees), the number of digits after\n" -" the decimal point is prec + 5. For the convergence (in degrees)\n" -" and scale, the number of digits after the decimal point is prec +\n" -" 6.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"EXTENDED DOMAIN\n" -" The exact transverse Mercator projection has a branch point on the\n" -" equator at longitudes (relative to lon0) of +/- (1 - e) 90, where e is\n" -" the eccentricity of the ellipsoid. The standard convention for\n" -" handling this branch point is to map positive (negative) latitudes into\n" -" positive (negative) northings y; i.e., a branch cut is placed on the\n" -" equator. With the extended domain, the northern sheet of the\n" -" projection is extended into the south hemisphere by pushing the branch\n" -" cut south from the branch points. See the reference below for details.\n" -"\n" -"EXAMPLES\n" -" echo 0 90 | TransverseMercatorProj\n" -" => 25953592.84 9997964.94 90 18.40\n" -" echo 260e5 100e5 | TransverseMercatorProj -r\n" -" => -0.02 90.00 90.01 18.48\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes TransverseMercatorProj to return an\n" -" exit code of 1. However, an error does not cause\n" -" TransverseMercatorProj to terminate; following lines will be converted.\n" -"\n" -"AUTHOR\n" -" TransverseMercatorProj was written by Charles Karney.\n" -"\n" -"SEE ALSO\n" -" The algorithms for the transverse Mercator projection are described in\n" -" C. F. F. Karney, Transverse Mercator with an accuracy of a few\n" -" nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI\n" -" ; preprint\n" -" . The explanation of the extended\n" -" domain of the projection with the -t option is given in Section 5 of\n" -" this paper.\n" -"\n" -"HISTORY\n" -" TransverseMercatorProj was added to GeographicLib,\n" -" , in 2009-01. Prior to version\n" -" 1.9 it was called TransverseMercatorTest (and its interface was\n" -" slightly different).\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/BUILD/man/cmake_install.cmake b/libs/GeographicLib-1.50.1/BUILD/man/cmake_install.cmake deleted file mode 100644 index e200d15c2f01f2e4d43a450dca56a05e5d527fcc..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/cmake_install.cmake +++ /dev/null @@ -1,63 +0,0 @@ -# Install script for directory: /home/valentin/src/GeographicLib-1.50.1/man - -# Set the install prefix -if(NOT DEFINED CMAKE_INSTALL_PREFIX) - set(CMAKE_INSTALL_PREFIX "/usr/local") -endif() -string(REGEX REPLACE "/$" "" CMAKE_INSTALL_PREFIX "${CMAKE_INSTALL_PREFIX}") - -# Set the install configuration name. -if(NOT DEFINED CMAKE_INSTALL_CONFIG_NAME) - if(BUILD_TYPE) - string(REGEX REPLACE "^[^A-Za-z0-9_]+" "" - CMAKE_INSTALL_CONFIG_NAME "${BUILD_TYPE}") - else() - set(CMAKE_INSTALL_CONFIG_NAME "Release") - endif() - message(STATUS "Install configuration: \"${CMAKE_INSTALL_CONFIG_NAME}\"") -endif() - -# Set the component getting installed. -if(NOT CMAKE_INSTALL_COMPONENT) - if(COMPONENT) - message(STATUS "Install component: \"${COMPONENT}\"") - set(CMAKE_INSTALL_COMPONENT "${COMPONENT}") - else() - set(CMAKE_INSTALL_COMPONENT) - endif() -endif() - -# Install shared libraries without execute permission? -if(NOT DEFINED CMAKE_INSTALL_SO_NO_EXE) - set(CMAKE_INSTALL_SO_NO_EXE "1") -endif() - -# Is this installation the result of a crosscompile? -if(NOT DEFINED CMAKE_CROSSCOMPILING) - set(CMAKE_CROSSCOMPILING "FALSE") -endif() - -if("x${CMAKE_INSTALL_COMPONENT}x" STREQUAL "xUnspecifiedx" OR NOT CMAKE_INSTALL_COMPONENT) - file(INSTALL DESTINATION "${CMAKE_INSTALL_PREFIX}/share/man/man1" TYPE FILE FILES - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/CartConvert.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/ConicProj.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/GeodesicProj.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/GeoConvert.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/GeodSolve.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/GeoidEval.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/Gravity.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/MagneticField.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/Planimeter.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/RhumbSolve.1" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/TransverseMercatorProj.1" - ) -endif() - -if("x${CMAKE_INSTALL_COMPONENT}x" STREQUAL "xUnspecifiedx" OR NOT CMAKE_INSTALL_COMPONENT) - file(INSTALL DESTINATION "${CMAKE_INSTALL_PREFIX}/share/man/man8" TYPE FILE FILES - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/geographiclib-get-geoids.8" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/geographiclib-get-gravity.8" - "/home/valentin/src/GeographicLib-1.50.1/BUILD/man/geographiclib-get-magnetic.8" - ) -endif() - diff --git a/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-geoids.8 b/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-geoids.8 deleted file mode 100644 index 0bf8fe9cf9a226e9554f80b5ec7e13166a67b220..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-geoids.8 +++ /dev/null @@ -1,15 +0,0 @@ -.TH geographiclib-get-geoids 8 "" GeographicLib GeographicLib -.SH NAME -geographiclib-get-geoids \-\- a GeographicLib administrative tool -.SH DESCRIPTION -.B geographiclib-get-geoids -downloads and installs the geoids datasets used by GeographicLib, -. For documentation, supply the -.B \-h -option: -.PP - geographiclib-get-geoids \-h -.PP -By default, the datasets are installed in -.I /usr/local/share/GeographicLib/geoids -and the script requires write access to this directory. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-gravity.8 b/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-gravity.8 deleted file mode 100644 index 198d7643a5acd2f5957597495fd6f2e1b65ea485..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-gravity.8 +++ /dev/null @@ -1,15 +0,0 @@ -.TH geographiclib-get-gravity 8 "" GeographicLib GeographicLib -.SH NAME -geographiclib-get-gravity \-\- a GeographicLib administrative tool -.SH DESCRIPTION -.B geographiclib-get-gravity -downloads and installs the gravity datasets used by GeographicLib, -. For documentation, supply the -.B \-h -option: -.PP - geographiclib-get-gravity \-h -.PP -By default, the datasets are installed in -.I /usr/local/share/GeographicLib/gravity -and the script requires write access to this directory. diff --git a/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-magnetic.8 b/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-magnetic.8 deleted file mode 100644 index 0a70c1210f52cd2cd39bcbec91650ab9ab35e54d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/man/geographiclib-get-magnetic.8 +++ /dev/null @@ -1,15 +0,0 @@ -.TH geographiclib-get-magnetic 8 "" GeographicLib GeographicLib -.SH NAME -geographiclib-get-magnetic \-\- a GeographicLib administrative tool -.SH DESCRIPTION -.B geographiclib-get-magnetic -downloads and installs the magnetic datasets used by GeographicLib, -. 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diff --git a/libs/GeographicLib-1.50.1/BUILD/tools/geographiclib-get-geoids b/libs/GeographicLib-1.50.1/BUILD/tools/geographiclib-get-geoids deleted file mode 100755 index 2ce6231f9d735398540d027ce8d6524237a91f13..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/BUILD/tools/geographiclib-get-geoids +++ /dev/null @@ -1,211 +0,0 @@ -#! /bin/sh -# -# Download geoid datasets for use by GeographicLib::Geoid. This is -# modeled on a similar script geographiclib-datasets-download by -# Francesco P. Lovergine -# -# Copyright (c) Charles Karney (2011-2019) and -# licensed under the MIT/X11 License. For more information, see -# https://geographiclib.sourceforge.io/ - -DEFAULTDIR="/usr/local/share/GeographicLib" -SUBDIR=geoids -NAME=geoid -MODEL=geoid -CLASS=Geoid -TOOL=GeoidEval -EXT=pgm -usage() { - cat <&2; - exit 1 - ;; - esac -done -shift `expr $OPTIND - 1` -if test $# -eq 0; then - usage 1>&2; - exit 1 -fi - -test -d "$PARENTDIR"/$SUBDIR || mkdir -p "$PARENTDIR"/$SUBDIR 2> /dev/null -if test ! -d "$PARENTDIR"/$SUBDIR; then - echo Cannot create directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -TEMP= -if test -z "$DEBUG"; then -trap 'trap "" 0; test "$TEMP" && rm -rf "$TEMP"; exit 1' 1 2 3 9 15 -trap 'test "$TEMP" && rm -rf "$TEMP"' 0 -fi -TEMP=`mktemp -d -q -t $NAME-XXXXXXXX` - -if test -z "$TEMP" -o ! -d "$TEMP"; then - echo Cannot create temporary directory 1>&2 - exit 1 -fi - -WRITETEST="$PARENTDIR"/$SUBDIR/write-test-`basename $TEMP` -if touch "$WRITETEST" 2> /dev/null; then - rm -f "$WRITETEST" -else - echo Cannot write in directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -set -e - -cat > $TEMP/all < /dev/null; then - echo $1 - else - case "$1" in - all ) - cat $TEMP/all - ;; - minimal ) - echo egm96-5 - ;; - best ) # highest resolution models - cat < egm2008-2_5 - cat <&2 - exit 1 - fi - ;; - esac - fi - shift -done > $TEMP/list - -sort -u $TEMP/list > $TEMP/todo - -while read file; do - if test -z "$FORCE" -a -s $PARENTDIR/$SUBDIR/$file.$EXT; then - echo $PARENTDIR/$SUBDIR/$file.$EXT already installed, skipping $file... - echo $file >> $TEMP/skip - continue - fi - echo download $file.tar.bz2 ... - echo $file >> $TEMP/download - URL="https://downloads.sourceforge.net/project/geographiclib/$SUBDIR-distrib/$file.tar.bz2?use_mirror=autoselect" - ARCHIVE=$TEMP/$file.tar.bz2 - wget -O$ARCHIVE $URL - echo unpack $file.tar.bz2 ... - tar vxojf $ARCHIVE -C $PARENTDIR - echo $MODEL $file installed. -done < $TEMP/todo - -if test "$DEBUG"; then - echo Saving temporary directory $TEMP -fi -echo -if test -s $TEMP/download; then - n=`wc -l < $TEMP/download` - s=; test $n -gt 1 && s=s - cat < and -# licensed under the MIT/X11 License. For more information, see -# https://geographiclib.sourceforge.io/ - -DEFAULTDIR="/usr/local/share/GeographicLib" -SUBDIR=gravity -NAME=gravity -MODEL=gravitymodel -CLASS=GravityModel -TOOL=Gravity -EXT=egm.cof -usage() { - cat <&2; - exit 1 - ;; - esac -done -shift `expr $OPTIND - 1` -if test $# -eq 0; then - usage 1>&2; - exit 1 -fi - -test -d "$PARENTDIR"/$SUBDIR || mkdir -p "$PARENTDIR"/$SUBDIR 2> /dev/null -if test ! -d "$PARENTDIR"/$SUBDIR; then - echo Cannot create directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -TEMP= -if test -z "$DEBUG"; then -trap 'trap "" 0; test "$TEMP" && rm -rf "$TEMP"; exit 1' 1 2 3 9 15 -trap 'test "$TEMP" && rm -rf "$TEMP"' 0 -fi -TEMP=`mktemp -d -q -t $NAME-XXXXXXXX` - -if test -z "$TEMP" -o ! -d "$TEMP"; then - echo Cannot create temporary directory 1>&2 - exit 1 -fi - -WRITETEST="$PARENTDIR"/$SUBDIR/write-test-`basename $TEMP` -if touch "$WRITETEST" 2> /dev/null; then - rm -f "$WRITETEST" -else - echo Cannot write in directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -set -e - -cat > $TEMP/all < /dev/null; then - echo $1 - else - case "$1" in - all ) - cat $TEMP/all - ;; - minimal ) - echo egm96; echo wgs84 - ;; - * ) - if test -n "$FORCE"; then - echo $1 - else - echo Unknown $MODEL $1 1>&2 - exit 1 - fi - ;; - esac - fi - shift -done > $TEMP/list - -sort -u $TEMP/list > $TEMP/todo - -while read file; do - if test -z "$FORCE" -a -s $PARENTDIR/$SUBDIR/$file.$EXT; then - echo $PARENTDIR/$SUBDIR/$file.$EXT already installed, skipping $file... - echo $file >> $TEMP/skip - continue - fi - echo download $file.tar.bz2 ... - echo $file >> $TEMP/download - URL="https://downloads.sourceforge.net/project/geographiclib/$SUBDIR-distrib/$file.tar.bz2?use_mirror=autoselect" - ARCHIVE=$TEMP/$file.tar.bz2 - wget -O$ARCHIVE $URL - echo unpack $file.tar.bz2 ... - tar vxojf $ARCHIVE -C $PARENTDIR - echo $MODEL $file installed. -done < $TEMP/todo - -if test "$DEBUG"; then - echo Saving temporary directory $TEMP -fi -echo -if test -s $TEMP/download; then - n=`wc -l < $TEMP/download` - s=; test $n -gt 1 && s=s - cat < and -# licensed under the MIT/X11 License. For more information, see -# https://geographiclib.sourceforge.io/ - -DEFAULTDIR="/usr/local/share/GeographicLib" -SUBDIR=magnetic -NAME=magnetic -MODEL=magneticmodel -CLASS=MagneticModel -TOOL=MagneticField -EXT=wmm.cof -usage() { - cat <&2; - exit 1 - ;; - esac -done -shift `expr $OPTIND - 1` -if test $# -eq 0; then - usage 1>&2; - exit 1 -fi - -test -d "$PARENTDIR"/$SUBDIR || mkdir -p "$PARENTDIR"/$SUBDIR 2> /dev/null -if test ! -d "$PARENTDIR"/$SUBDIR; then - echo Cannot create directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -TEMP= -if test -z "$DEBUG"; then -trap 'trap "" 0; test "$TEMP" && rm -rf "$TEMP"; exit 1' 1 2 3 9 15 -trap 'test "$TEMP" && rm -rf "$TEMP"' 0 -fi -TEMP=`mktemp -d -q -t $NAME-XXXXXXXX` - -if test -z "$TEMP" -o ! -d "$TEMP"; then - echo Cannot create temporary directory 1>&2 - exit 1 -fi - -WRITETEST="$PARENTDIR"/$SUBDIR/write-test-`basename $TEMP` -if touch "$WRITETEST" 2> /dev/null; then - rm -f "$WRITETEST" -else - echo Cannot write in directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -set -e - -cat > $TEMP/all < /dev/null; then - echo $1 - else - case "$1" in - all ) - cat $TEMP/all - ;; - minimal ) - echo wmm2020; echo igrf12 - ;; - * ) - if test -n "$FORCE"; then - echo $1 - else - echo Unknown $MODEL $1 1>&2 - exit 1 - fi - ;; - esac - fi - shift -done > $TEMP/list - -sort -u $TEMP/list > $TEMP/todo - -while read file; do - if test -z "$FORCE" -a -s $PARENTDIR/$SUBDIR/$file.$EXT; then - echo $PARENTDIR/$SUBDIR/$file.$EXT already installed, skipping $file... - echo $file >> $TEMP/skip - continue - fi - echo download $file.tar.bz2 ... - echo $file >> $TEMP/download - URL="https://downloads.sourceforge.net/project/geographiclib/$SUBDIR-distrib/$file.tar.bz2?use_mirror=autoselect" - ARCHIVE=$TEMP/$file.tar.bz2 - wget -O$ARCHIVE $URL - echo unpack $file.tar.bz2 ... - tar vxojf $ARCHIVE -C $PARENTDIR - echo $MODEL $file installed. -done < $TEMP/todo - -if test "$DEBUG"; then - echo Saving temporary directory $TEMP -fi -echo -if test -s $TEMP/download; then - n=`wc -l < $TEMP/download` - s=; test $n -gt 1 && s=s - cat < -# -# Copyright (c) Charles Karney (2011-2019) and -# licensed under the MIT/X11 License. For more information, see -# https://geographiclib.sourceforge.io/ - -DEFAULTDIR="/usr/local/share/GeographicLib" -SUBDIR=geoids -NAME=geoid -MODEL=geoid -CLASS=Geoid -TOOL=GeoidEval -EXT=pgm -usage() { - cat <&2; - exit 1 - ;; - esac -done -shift `expr $OPTIND - 1` -if test $# -eq 0; then - usage 1>&2; - exit 1 -fi - -test -d "$PARENTDIR"/$SUBDIR || mkdir -p "$PARENTDIR"/$SUBDIR 2> /dev/null -if test ! -d "$PARENTDIR"/$SUBDIR; then - echo Cannot create directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -TEMP= -if test -z "$DEBUG"; then -trap 'trap "" 0; test "$TEMP" && rm -rf "$TEMP"; exit 1' 1 2 3 9 15 -trap 'test "$TEMP" && rm -rf "$TEMP"' 0 -fi -TEMP=`mktemp -d -q -t $NAME-XXXXXXXX` - -if test -z "$TEMP" -o ! -d "$TEMP"; then - echo Cannot create temporary directory 1>&2 - exit 1 -fi - -WRITETEST="$PARENTDIR"/$SUBDIR/write-test-`basename $TEMP` -if touch "$WRITETEST" 2> /dev/null; then - rm -f "$WRITETEST" -else - echo Cannot write in directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -set -e - -cat > $TEMP/all < /dev/null; then - echo $1 - else - case "$1" in - all ) - cat $TEMP/all - ;; - minimal ) - echo egm96-5 - ;; - best ) # highest resolution models - cat < egm2008-2_5 - cat <&2 - exit 1 - fi - ;; - esac - fi - shift -done > $TEMP/list - -sort -u $TEMP/list > $TEMP/todo - -while read file; do - if test -z "$FORCE" -a -s $PARENTDIR/$SUBDIR/$file.$EXT; then - echo $PARENTDIR/$SUBDIR/$file.$EXT already installed, skipping $file... - echo $file >> $TEMP/skip - continue - fi - echo download $file.tar.bz2 ... - echo $file >> $TEMP/download - URL="https://downloads.sourceforge.net/project/geographiclib/$SUBDIR-distrib/$file.tar.bz2?use_mirror=autoselect" - ARCHIVE=$TEMP/$file.tar.bz2 - wget -O$ARCHIVE $URL - echo unpack $file.tar.bz2 ... - tar vxojf $ARCHIVE -C $PARENTDIR - echo $MODEL $file installed. -done < $TEMP/todo - -if test "$DEBUG"; then - echo Saving temporary directory $TEMP -fi -echo -if test -s $TEMP/download; then - n=`wc -l < $TEMP/download` - s=; test $n -gt 1 && s=s - cat < and -# licensed under the MIT/X11 License. For more information, see -# https://geographiclib.sourceforge.io/ - -DEFAULTDIR="/usr/local/share/GeographicLib" -SUBDIR=gravity -NAME=gravity -MODEL=gravitymodel -CLASS=GravityModel -TOOL=Gravity -EXT=egm.cof -usage() { - cat <&2; - exit 1 - ;; - esac -done -shift `expr $OPTIND - 1` -if test $# -eq 0; then - usage 1>&2; - exit 1 -fi - -test -d "$PARENTDIR"/$SUBDIR || mkdir -p "$PARENTDIR"/$SUBDIR 2> /dev/null -if test ! -d "$PARENTDIR"/$SUBDIR; then - echo Cannot create directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -TEMP= -if test -z "$DEBUG"; then -trap 'trap "" 0; test "$TEMP" && rm -rf "$TEMP"; exit 1' 1 2 3 9 15 -trap 'test "$TEMP" && rm -rf "$TEMP"' 0 -fi -TEMP=`mktemp -d -q -t $NAME-XXXXXXXX` - -if test -z "$TEMP" -o ! -d "$TEMP"; then - echo Cannot create temporary directory 1>&2 - exit 1 -fi - -WRITETEST="$PARENTDIR"/$SUBDIR/write-test-`basename $TEMP` -if touch "$WRITETEST" 2> /dev/null; then - rm -f "$WRITETEST" -else - echo Cannot write in directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -set -e - -cat > $TEMP/all < /dev/null; then - echo $1 - else - case "$1" in - all ) - cat $TEMP/all - ;; - minimal ) - echo egm96; echo wgs84 - ;; - * ) - if test -n "$FORCE"; then - echo $1 - else - echo Unknown $MODEL $1 1>&2 - exit 1 - fi - ;; - esac - fi - shift -done > $TEMP/list - -sort -u $TEMP/list > $TEMP/todo - -while read file; do - if test -z "$FORCE" -a -s $PARENTDIR/$SUBDIR/$file.$EXT; then - echo $PARENTDIR/$SUBDIR/$file.$EXT already installed, skipping $file... - echo $file >> $TEMP/skip - continue - fi - echo download $file.tar.bz2 ... - echo $file >> $TEMP/download - URL="https://downloads.sourceforge.net/project/geographiclib/$SUBDIR-distrib/$file.tar.bz2?use_mirror=autoselect" - ARCHIVE=$TEMP/$file.tar.bz2 - wget -O$ARCHIVE $URL - echo unpack $file.tar.bz2 ... - tar vxojf $ARCHIVE -C $PARENTDIR - echo $MODEL $file installed. -done < $TEMP/todo - -if test "$DEBUG"; then - echo Saving temporary directory $TEMP -fi -echo -if test -s $TEMP/download; then - n=`wc -l < $TEMP/download` - s=; test $n -gt 1 && s=s - cat < and -# licensed under the MIT/X11 License. For more information, see -# https://geographiclib.sourceforge.io/ - -DEFAULTDIR="/usr/local/share/GeographicLib" -SUBDIR=magnetic -NAME=magnetic -MODEL=magneticmodel -CLASS=MagneticModel -TOOL=MagneticField -EXT=wmm.cof -usage() { - cat <&2; - exit 1 - ;; - esac -done -shift `expr $OPTIND - 1` -if test $# -eq 0; then - usage 1>&2; - exit 1 -fi - -test -d "$PARENTDIR"/$SUBDIR || mkdir -p "$PARENTDIR"/$SUBDIR 2> /dev/null -if test ! -d "$PARENTDIR"/$SUBDIR; then - echo Cannot create directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -TEMP= -if test -z "$DEBUG"; then -trap 'trap "" 0; test "$TEMP" && rm -rf "$TEMP"; exit 1' 1 2 3 9 15 -trap 'test "$TEMP" && rm -rf "$TEMP"' 0 -fi -TEMP=`mktemp -d -q -t $NAME-XXXXXXXX` - -if test -z "$TEMP" -o ! -d "$TEMP"; then - echo Cannot create temporary directory 1>&2 - exit 1 -fi - -WRITETEST="$PARENTDIR"/$SUBDIR/write-test-`basename $TEMP` -if touch "$WRITETEST" 2> /dev/null; then - rm -f "$WRITETEST" -else - echo Cannot write in directory $PARENTDIR/$SUBDIR 1>&2 - exit 1 -fi - -set -e - -cat > $TEMP/all < /dev/null; then - echo $1 - else - case "$1" in - all ) - cat $TEMP/all - ;; - minimal ) - echo wmm2020; echo igrf12 - ;; - * ) - if test -n "$FORCE"; then - echo $1 - else - echo Unknown $MODEL $1 1>&2 - exit 1 - fi - ;; - esac - fi - shift -done > $TEMP/list - -sort -u $TEMP/list > $TEMP/todo - -while read file; do - if test -z "$FORCE" -a -s $PARENTDIR/$SUBDIR/$file.$EXT; then - echo $PARENTDIR/$SUBDIR/$file.$EXT already installed, skipping $file... - echo $file >> $TEMP/skip - continue - fi - echo download $file.tar.bz2 ... - echo $file >> $TEMP/download - URL="https://downloads.sourceforge.net/project/geographiclib/$SUBDIR-distrib/$file.tar.bz2?use_mirror=autoselect" - ARCHIVE=$TEMP/$file.tar.bz2 - wget -O$ARCHIVE $URL - echo unpack $file.tar.bz2 ... - tar vxojf $ARCHIVE -C $PARENTDIR - echo $MODEL $file installed. -done < $TEMP/todo - -if test "$DEBUG"; then - echo Saving temporary directory $TEMP -fi -echo -if test -s $TEMP/download; then - n=`wc -l < $TEMP/download` - s=; test $n -gt 1 && s=s - cat < -int main() { - int q; - return int(std::hypot(3.0, 4.0) + std::expm1(0.5) + - std::log1p(2.0) + std::asinh(10.0) + - std::atanh(0.8) + std::cbrt(8.0) + - std::fma(1.0, 2.0, 3.0) + std::remquo(100.0, 90.0, &q) + - std::remainder(100.0, 90.0) + std::copysign(1.0, -0.0) + - std::round(3.5)) + - std::isfinite(4.0) + std::isnan(0.0) + int(std::lround(-3.5)); -}\n" CXX11_MATH) -if (CXX11_MATH) - add_definitions (-DGEOGRAPHICLIB_CXX11_MATH=1) -else () - add_definitions (-DGEOGRAPHICLIB_CXX11_MATH=0) -endif () - -# Check whether the C++11 static_assert macro is available. This flag -# is *not* propagated to clients that use GeographicLib. However, this -# is of no consequence. When the client code is being compiled (and the -# GeographicLib headers being included), a work-alike substitution is -# used. -check_cxx_source_compiles ( - "#include -int main() { - static_assert(true, \"static assert test\"); - return 0; -}\n" CXX11_STATIC_ASSERT) -if (CXX11_STATIC_ASSERT) - add_definitions (-DGEOGRAPHICLIB_HAS_STATIC_ASSERT=1) -else () - add_definitions (-DGEOGRAPHICLIB_HAS_STATIC_ASSERT=0) -endif () - -# Set the include directories. Look in ${PROJECT_BINARY_DIR}/include -# first because that's where Config.h will be -include_directories ("${PROJECT_BINARY_DIR}/include" include) - -if (USE_BOOST_FOR_EXAMPLES) - # quad precision numbers appeared in Boost 1.54. Various - # workarounds stopped being needed with Boost 1.64. - find_package (Boost 1.64 COMPONENTS serialization) -elseif (GEOGRAPHICLIB_PRECISION EQUAL 4) - if (CMAKE_CXX_COMPILER_ID STREQUAL "GNU" AND CXX11_MATH) - find_package (Boost 1.64) - endif () -endif () - -set (HIGHPREC_LIBRARIES) -if (GEOGRAPHICLIB_PRECISION EQUAL 1) - message (WARNING "Compiling with floats which results in poor accuracy") -elseif (GEOGRAPHICLIB_PRECISION EQUAL 2) - # This is the default -elseif (GEOGRAPHICLIB_PRECISION EQUAL 3) - if (WIN32) - message (WARNING - "Cannot support long double on Windows, switching to double") - set (GEOGRAPHICLIB_PRECISION 2) - endif () -elseif (GEOGRAPHICLIB_PRECISION EQUAL 4) - if (CMAKE_CXX_COMPILER_ID STREQUAL "GNU" AND CXX11_MATH) - if (Boost_FOUND) - include_directories ("${Boost_INCLUDE_DIRS}") - set (HIGHPREC_LIBRARIES quadmath) - endif () - endif () - if (NOT HIGHPREC_LIBRARIES) - message (WARNING "Cannot support quad precision, switching to double") - set (GEOGRAPHICLIB_PRECISION 2) - endif () -elseif (GEOGRAPHICLIB_PRECISION EQUAL 5) - if (CXX11_MATH) - # Install MPFR C++ version 3.6.5 (2016-12-19) or later from - # http://www.holoborodko.com/pavel/mpfr and install mpreal.h in the - # include directory. NOTE: MPFR C++ is covered by the GPL; be sure - # to abide by the terms of this license. - # - # For Linux, use system versions of mpfr and gmp. For Apple, use - # brew install mpfr. Recent versions of mpfr (3.0 or later) work - # fine. For Windows, download MPFR-MPIR-x86-x64-MSVC2010.zip from - # the MPFR C++ site and unpack in the top-level directory. The - # Windows build only works with GEOGRAPHICLIB_LIB_TYPE=STATIC. - # NOTE: mpfr, gmp, and mpir are covered by the LGPL; be sure to - # abide by the terms of this license. - # - # Need Visual Studio 12 2013 or later, g++ 4.5 or later; not sure - # about clang. - if (WIN32) - if (MSVC AND NOT MSVC_VERSION LESS 1800) - if (CMAKE_SIZEOF_VOID_P EQUAL 8) - set (_ARCH x64) - else () - set (_ARCH Win32) - endif () - include_directories (mpfr_mpir_x86_x64_msvc2010/mpfr - mpfr_mpir_x86_x64_msvc2010/mpir/dll/${_ARCH}/Release) - # These are C libraries so it's OK to use release versions for - # debug builds. Also these work for later versions of Visual - # Studio (specifically version 12). - link_directories (mpfr_mpir_x86_x64_msvc2010/mpfr/dll/${_ARCH}/Release - mpfr_mpir_x86_x64_msvc2010/mpir/dll/${_ARCH}/Release) - set (HIGHPREC_LIBRARIES mpfr mpir) - # Suppress the myriad of "conditional expression is constant" - # warnings - set (CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4127") - endif () - else () - if (APPLE) - include_directories (/usr/local/include) - link_directories (/usr/local/lib) - endif () - # g++ before 4.5 doesn't work (no explicit cast operator) - if (NOT (CMAKE_CXX_COMPILER_ID STREQUAL "GNU" AND - CMAKE_CXX_COMPILER_VERSION VERSION_LESS 4.5)) - set (HIGHPREC_LIBRARIES mpfr gmp) - endif () - endif () - endif () - if (NOT HIGHPREC_LIBRARIES) - message (WARNING "Cannot support mpfr, switching to double") - set (GEOGRAPHICLIB_PRECISION 2) - endif () -endif () - -if (APPLE AND APPLE_MULTIPLE_ARCHITECTURES) - if (CMAKE_SYSTEM_PROCESSOR MATCHES "i.86" OR - CMAKE_SYSTEM_PROCESSOR MATCHES "amd64" OR - CMAKE_SYSTEM_PROCESSOR MATCHES "x86") - set (CMAKE_OSX_ARCHITECTURES "i386;x86_64") - endif () -endif () - -# Create a Config.h to expose system information to the compiler -configure_file ( - include/GeographicLib/Config.h.in - include/GeographicLib/Config.h - @ONLY) - -# The documentation depends on doxygen. -if (GEOGRAPHICLIB_DOCUMENTATION) - set (DOXYGEN_SKIP_DOT ON) - # Version 1.8.7 or later needed for … - find_package (Doxygen 1.8.7) - # For JavaScript documentation - find_program (JSDOC jsdoc) - # For Python documentation - find_program (SPHINX sphinx-build) -endif () - -# The man pages are written as pod files and converted to nroff format, -# C++ code, and html. Because this require tools that may not be -# available on an end-user's system, the creation of the final -# documentation is therefore only done in "MAINTAINER" mode. The -# maintainer runs "make distrib-all" which installs the transformed -# documentation files into the source tree. Skip Apple here because -# man/makeusage.sh uses "head --lines -4" to drop the last 4 lines of a -# file and there's no simple equivalent for MacOSX -if (NOT WIN32 AND NOT APPLE) - find_program (HAVE_POD2MAN pod2man) - find_program (HAVE_POD2HTML pod2html) - find_program (HAVE_COL col) -endif () -if (HAVE_POD2MAN AND HAVE_POD2HTML AND HAVE_COL) - set (MAINTAINER ON) -else () - set (MAINTAINER OFF) -endif () -if (MAINTAINER) - add_custom_target (distrib-all) - add_dependencies (distrib-all distrib-man) -endif () - -if (NOT CMAKE_CONFIGURATION_TYPES AND NOT CMAKE_BUILD_TYPE) - # Set a default build type for single-configuration cmake generators - # if no build type is set. - set (CMAKE_BUILD_TYPE Release) -endif () - -# Set output directories for Windows so that executables and dlls are -# put in the same place -if (WIN32) - # static libaries - set (CMAKE_ARCHIVE_OUTPUT_DIRECTORY "${PROJECT_BINARY_DIR}/lib") - # shared libraries - set (CMAKE_LIBRARY_OUTPUT_DIRECTORY "${PROJECT_BINARY_DIR}/lib") - # executables and dlls - set (CMAKE_RUNTIME_OUTPUT_DIRECTORY "${PROJECT_BINARY_DIR}/bin") -endif () - -# The list of tools (to be installed into, e.g., /usr/local/bin) -set (TOOLS CartConvert ConicProj GeodesicProj GeoConvert GeodSolve - GeoidEval Gravity MagneticField Planimeter RhumbSolve TransverseMercatorProj) -# The list of scripts (to be installed into, e.g., /usr/local/sbin) -set (SCRIPTS geographiclib-get-geoids geographiclib-get-gravity - geographiclib-get-magnetic) - -set_property (GLOBAL PROPERTY USE_FOLDERS ON) - -# The list of subdirectories to process -add_subdirectory (src) -add_subdirectory (include/GeographicLib) -add_subdirectory (tools) -add_subdirectory (man) -add_subdirectory (doc) -add_subdirectory (js) -add_subdirectory (matlab) -add_subdirectory (python/geographiclib) -add_subdirectory (examples) -if (MSVC AND BUILD_NETGEOGRAPHICLIB) - if (GEOGRAPHICLIB_PRECISION EQUAL 2) - set (NETGEOGRAPHICLIB_LIBRARIES NETGeographicLib) - set (NETLIBNAME NETGeographic) - add_subdirectory (dotnet/NETGeographicLib) - add_subdirectory (dotnet/examples/ManagedCPP) - else () - message (WARNING "Build of NETGeographicLib only works with doubles") - endif () -endif () -add_subdirectory (cmake) -if (DEVELOPER) - add_subdirectory (tests) -endif () - -# Packaging support; we deal with -# (1) a source distribution: cmake make a tar.gz file and the zip file -# is created from this. Only the maintainer can do this, because of -# the need to generate additional documentation files. -# (2) a binary distribution: code is included for Linux, Apple, and -# Windows, but only the Windows distribution has been exercised. - -# Need to ensure that system dlls get included in a binary distribution -if (NOT DEFINED CMAKE_INSTALL_SYSTEM_RUNTIME_LIBS_NO_WARNINGS) - # Visual Studio Express does include redistributable components so - # squelch the warning. - set (CMAKE_INSTALL_SYSTEM_RUNTIME_LIBS_NO_WARNINGS ON) -endif () -set (CMAKE_INSTALL_DEBUG_LIBRARIES ON) -include (InstallRequiredSystemLibraries) - -# The configuration of CPack is via variable that need to be set before -# the include (CPack). -set (CPACK_PACKAGE_CONTACT charles@karney.com) -set (CPACK_PACKAGE_VENDOR "GeographicLib") -set (CPACK_PACKAGE_DESCRIPTION_SUMMARY - "GeographicLib library, utilities, and documentation") -# The list of files to be excluded from the source distribution. -set (CPACK_SOURCE_IGNORE_FILES - "#" - "~\$" - "/\\\\.git" - "${PROJECT_SOURCE_DIR}/BUILD" - "${PROJECT_SOURCE_DIR}/(tests|testdata|cgi-bin|.*\\\\.cache)/" - "${PROJECT_SOURCE_DIR}/(distrib|.*-distrib|.*-installer|geodesic-papers)/" - "${PROJECT_SOURCE_DIR}/[^/]*\\\\.(xml|html|css|kmz|pdf)\$" - "${PROJECT_SOURCE_DIR}/(autogen|biblio)\\\\.sh\$" - "${PROJECT_SOURCE_DIR}/(robots.txt|geodesic-biblio.txt|makefile-admin|[^/]*\\\\.png)\$" - "${PROJECT_SOURCE_DIR}/matlab/.*blurb.txt\$") -set (CPACK_SOURCE_GENERATOR TGZ) - -set (CPACK_RESOURCE_FILE_LICENSE ${PROJECT_SOURCE_DIR}/LICENSE.txt) -set (CPACK_PACKAGE_INSTALL_DIRECTORY "${PROJECT_NAME}-${PROJECT_VERSION}") -set (CPACK_SOURCE_PACKAGE_FILE_NAME "${CPACK_PACKAGE_INSTALL_DIRECTORY}") - -if (WIN32) - # The Windows binary packager is NSIS. Set the necessary variables - # for this. - set (CPACK_NSIS_CONTACT "charles@karney.com") - set (CPACK_NSIS_URL_INFO_ABOUT "https://geographiclib.sourceforge.io") - set (CPACK_NSIS_HELP_LINK "mailto:charles@karney.com") - # No provision for accommodating different compiler versions. 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This calls package_source to make a tar.gz file. -# However this needs to be touched up to support the vanilla Makefiles -# provided with GeographicLib. This entails -# (1) creating Makefile (which includes Makefile.mk); -# (2) creating a bare-bones Config.h (with just the version information); -# (3) making sure that make thinks the generated documentation files are -# up-to-date. -# Then a new tar.gz file and zip file are created. To avoid potential -# problems with directory permissions, tar and zip are told only to -# archive the files. -if (MAINTAINER) - add_custom_target (dist - COMMAND ${CMAKE_MAKE_PROGRAM} package_source - COMMAND - cd _CPack_Packages/Linux-Source/TGZ/${CPACK_SOURCE_PACKAGE_FILE_NAME} && - echo include Makefile.mk > Makefile && - sed -e "s/Unconfigured/${PROJECT_VERSION}/" - -e "s/MAJOR .*/MAJOR ${CPACK_PACKAGE_VERSION_MAJOR}/" - -e "s/MINOR .*/MINOR ${CPACK_PACKAGE_VERSION_MINOR}/" - -e "s/PATCH .*/PATCH ${CPACK_PACKAGE_VERSION_PATCH}/" - include/GeographicLib/Config.h > include/GeographicLib/Config.h.new && - mv include/GeographicLib/Config.h.new include/GeographicLib/Config.h - COMMAND - cd _CPack_Packages/Linux-Source/TGZ/${CPACK_SOURCE_PACKAGE_FILE_NAME} && - touch man/[A-Za-z]*.usage man/[A-Za-z]*.1 man/[A-Za-z]*.1.html && - chmod -R g-w . - COMMAND - cd _CPack_Packages/Linux-Source/TGZ && - find ${CPACK_SOURCE_PACKAGE_FILE_NAME} -type f | - tar cfzT ${CMAKE_BINARY_DIR}/${CPACK_SOURCE_PACKAGE_FILE_NAME}.tar.gz - - COMMAND - rm -f ${CMAKE_BINARY_DIR}/${CPACK_SOURCE_PACKAGE_FILE_NAME}.zip && - rsync -a --delete - _CPack_Packages/Linux-Source/TGZ/${CPACK_SOURCE_PACKAGE_FILE_NAME} - _CPack_Packages/Linux-Source/TGZ.DOS/ && - cd _CPack_Packages/Linux-Source/TGZ.DOS && - find . -type f | - egrep -v '/\(compile|config[^/]*|depcomp|install-sh|missing|[Mm]akefile[^/]*|[^/]*\\.\(ac|am|csproj|eps|kmz|m4|pdf|png|resx|settings|sh|sln|vcproj|vcxproj\)\)$$' | - xargs unix2dos -q -k && - find ${CPACK_SOURCE_PACKAGE_FILE_NAME} -type f | - zip -q ${CMAKE_BINARY_DIR}/${CPACK_SOURCE_PACKAGE_FILE_NAME}.zip -@ - ) - add_dependencies (dist distrib-all) -endif () - -# The test suite -- split into a separate file because it's rather large. -# N.B. Many of the tests fail with GEOGRAPHICLIB_PRECISION = 1 (float). -include (tools/tests.cmake) diff --git a/libs/GeographicLib-1.50.1/INSTALL b/libs/GeographicLib-1.50.1/INSTALL deleted file mode 100644 index 9bf634eb25b19c1eee0f590981bc772a94158f0a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/INSTALL +++ /dev/null @@ -1,3 +0,0 @@ -For installation instructions, open - - https://geographiclib.sourceforge.io/html/install.html diff --git a/libs/GeographicLib-1.50.1/LICENSE.txt b/libs/GeographicLib-1.50.1/LICENSE.txt deleted file mode 100644 index d1bcab1a0cf44d5c28266653ce12ab41b5cb2813..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/LICENSE.txt +++ /dev/null @@ -1,24 +0,0 @@ -The MIT License (MIT); this license applies to GeographicLib, -versions 1.12 and later. - -Copyright (c) 2008-2019, Charles Karney - -Permission is hereby granted, free of charge, to any person -obtaining a copy of this software and associated documentation -files (the "Software"), to deal in the Software without -restriction, including without limitation the rights to use, copy, -modify, merge, publish, distribute, sublicense, and/or sell copies -of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be -included in all copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, -EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF -MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND -NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT -HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, -WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER -DEALINGS IN THE SOFTWARE. diff --git a/libs/GeographicLib-1.50.1/Makefile b/libs/GeographicLib-1.50.1/Makefile deleted file mode 100644 index c7745fa8cc466028bf1a72e4936edd056c56ce79..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/Makefile +++ /dev/null @@ -1 +0,0 @@ -include Makefile.mk diff --git a/libs/GeographicLib-1.50.1/Makefile.am b/libs/GeographicLib-1.50.1/Makefile.am deleted file mode 100644 index f7a0f419f3ce6480a2019c1bd047d8d8b06792dc..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/Makefile.am +++ /dev/null @@ -1,58 +0,0 @@ -# -# Makefile.am -# -# Copyright (C) 2009, Francesco P. 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install-data install-data-am install-data-local install-dvi \ - install-dvi-am install-exec install-exec-am install-html \ - install-html-am install-info install-info-am install-man \ - install-pdf install-pdf-am install-pkgconfigDATA install-ps \ - install-ps-am install-strip installcheck installcheck-am \ - installdirs installdirs-am maintainer-clean \ - maintainer-clean-generic mostlyclean mostlyclean-generic \ - mostlyclean-libtool pdf pdf-am ps ps-am tags tags-am uninstall \ - uninstall-am uninstall-pkgconfigDATA - -.PRECIOUS: Makefile - - -dist-hook: - rm -rf $(distdir)/doc/html $(distdir)/doc/manpages \ - $(distdir)/doc/GeographicLib.dox - find $(distdir)/maxima -type f -name '*.lsp' | xargs rm -rf - rm -rf $(distdir)/java/targets - find $(distdir)/java -type f -name '*.class' | xargs rm -rf - find $(distdir)/wrapper -mindepth 2 -type d | xargs rm -rf - find $(distdir)/wrapper -type f -name '*.o' -o -name '*.mex*' | \ - xargs rm -f - find $(distdir)/windows -mindepth 1 -type d | xargs rm -rf - find $(distdir)/windows -type f \ - ! \( -name '*.sln' -o -name '*.vc*proj' -o -name '*.mk' \)| \ - xargs rm -f - find $(distdir) \ - \( -name .svn -o -name '.git*' -o -name CVS -o -name Makefile -o -name '*~' -o -name '*#*' -o -name 'CMakeFiles' -o -name '*.log' -o -name '*.tmp' -o -name '*.pyc' -o -name '*.bak' -o -name '*.BAK' -o -name geographiclib.js \) | \ - xargs rm -rf - echo include Makefile.mk > $(distdir)/Makefile - sed -e "s/Unconfigured/$(PACKAGE_VERSION)/" \ - -e "s/MAJOR .*/MAJOR ${GEOGRAPHICLIB_VERSION_MAJOR}/" \ - -e "s/MINOR .*/MINOR ${GEOGRAPHICLIB_VERSION_MINOR}/" \ - -e "s/PATCH .*/PATCH ${GEOGRAPHICLIB_VERSION_PATCH}/" \ - $(top_srcdir)/include/GeographicLib/Config.h > \ - $(distdir)/include/GeographicLib/Config.h - -# Custom rules - -all-local: man doc -install-data-local: install-doc - -doc: man - $(MAKE) -C doc doc - -install-doc: - $(MAKE) -C doc install-doc - -man: - $(MAKE) -C man man - -.PHONY: doc install-doc man install-matlab install-python - -# Tell versions [3.59,3.63) of GNU make to not export all variables. -# Otherwise a system limit (for SysV at least) may be exceeded. -.NOEXPORT: diff --git a/libs/GeographicLib-1.50.1/Makefile.mk b/libs/GeographicLib-1.50.1/Makefile.mk deleted file mode 100644 index 90fb16f6e544e01afb60c11982e13dbbfd54010a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/Makefile.mk +++ /dev/null @@ -1,56 +0,0 @@ -MAKEFILE := $(lastword $(MAKEFILE_LIST)) -MAKE := $(MAKE) -f $(MAKEFILE) -SUBDIRS = src man tools doc js -ALLDIRS = include $(SUBDIRS) maxima matlab python cmake - -all: src man tools js - -$(SUBDIRS): - $(MAKE) -C $@ - -tools: src -install: install-headers install-lib install-tools install-man install-cmake \ - install-doc install-js install-matlab install-python -clean: clean-src clean-tools clean-doc clean-js clean-man clean-matlab \ - clean-python - -install-headers: - $(MAKE) -C include install -install-lib: - $(MAKE) -C src install -install-tools: src - $(MAKE) -C tools install -install-cmake: - $(MAKE) -C cmake install -install-doc: doc - $(MAKE) -C doc install -install-js: js - $(MAKE) -C js install -install-man: man - $(MAKE) -C man install -install-matlab: matlab - $(MAKE) -C matlab install -install-python: python - $(MAKE) -C python install -clean-src: - $(MAKE) -C src clean -clean-tools: - $(MAKE) -C tools clean -clean-doc: - $(MAKE) -C doc clean -clean-js: - $(MAKE) -C js clean -clean-man: - $(MAKE) -C man clean -clean-matlab: matlab - $(MAKE) -C matlab clean -clean-python: python - $(MAKE) -C python clean - -VERSION:=$(shell grep '\bVERSION=' configure | cut -f2 -d\' | head -1) - -.PHONY: all $(SUBDIRS) install clean \ - install-headers install-lib install-tools install-man install-cmake \ - install-doc install-js install-matlab install-python \ - clean-src clean-tools clean-doc clean-js clean-man clean-matlab \ - clean-python diff --git a/libs/GeographicLib-1.50.1/NEWS b/libs/GeographicLib-1.50.1/NEWS deleted file mode 100644 index d4073a36a46170f6f0f71374440088b242234667..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/NEWS +++ /dev/null @@ -1,1786 +0,0 @@ -A reverse chronological list of changes to GeographicLib - -For more information, see - - https://geographiclib.sourceforge.io/ - -The current version of the library is 1.50.1 - -Changes between 1.50.1 (released 2019-12-13) and 1.50 versions: - - * Add the World Magnetic Model 2020, wmm2020, covering the period - 2020-2025. This is now the model returned by - MagneticModel::DefaultMagneticName and is default magnetic model - for MagneticField (replacing wmm2015v2 which is only valid thru - the end of 2019). - - * Include float instantiations of those templated Math functions - which migrated to Math.cpp in version 1.50. - - * WARNING: The next version of GeographicLib will require a C++11 - compliant compiler. This means that the minimum version of Visual - Studio will be Visual Studio 12 2013. (This repeats the warning - given with version 1.50. It didn't apply to this version because - this is a minor update.) - -Changes between 1.50 (released 2019-09-24) and 1.49 versions: - - * BUG fixes: - + Java + JavaScript implementations of PolygonArea::TestEdge - counted the pole encirclings wrong. - + Fix typo in JavaScript implementation which affected unsigned - areas. - + Adding edges to a polygon counted pole encirclings inconsistent - with the way the adding point counted them. This might have - caused an incorrect result if a polygon vertex had longitude = - 0. This affected all implementations except Fortran and - MATLAB). - + GARS::Forward: fix BUG in handling of longitude = +/-180d. - + Fix bug in Rhumb class and RhumbSolve(1) utiity which caused - incorrect area to be reported if an endpoint is at a pole. - Thanks to Natalia Sabourova for reporting this. - + Fix bug in MATLAB routine mgrs_inv which resulted in incorrect - results for UPS zones with prec = -1. - + In geodreckon.m geoddistance.m, suppress (innocuous) "warning: - division by zero" messages from Octave. - + In python implementation, work around problems caused by - sin(inf) and fmod(inf) raising exceptions. - + Geoid class, fix the use of streamoff. - - * The PolygonArea class, the Planimeter utility, and their equivalents - in C, Fortran, MATLAB, Java, JavaScript, Python, and Maxima can now - handle arbitrarily complex polygons. In the case of - self-intersecting polygons the area is accumulated "algebraically", - e.g., the areas of the 2 loops in a figure-8 polygon will partially - cancel. - - * Changes in gravity and magnetic model handling - + SphericalEngine::coeff::readcoeffs takes new optional argument - truncate. - + The constructors for GravityModel and MagneticModel allow the - maximum degree and order to be specified. The array of - coefficients will then be truncated if necessary. - + GravityModel::Degree(), GravityModel::Order(), - MagneticModel::Degree(), MagneticModel::Order() return the - maximum degree and order of all the components of a GravityModel - or MagneticModel. - + Gravity and MagneticField utilities accept -N and -M options to - to allow the maximum degree and order to be specified. - - * The GeodSolve allows fractional distances to be entered as fractions - (with the -F flag). - - * MajorRadius() methods are now called EquatorialRadius() for the C++, - Java, and .NET libraries. "Equatorial" is more descriptive in the - case of prolate ellipsoids. MajorRadius() is retained for backward - compatibility for C++ and Java but is deprecated. - - * Minimum version updates: - + CMake = 3.1.0, released 2014-12-15. - + Minimum g++ version = 4.8.0, released 2013-03-22. - + Visual Studio 10 2010 (haven't been able to check Visual Studio - 2008 for a long time). - + WARNING: The next version of GeographicLib will require a C++11 - compliant compiler. This means that the minimum version of - Visual Studio will be Visual Studio 12 2013. - + Minimum boost version = 1.64 needed for GEOGRAPHICLIB_PRECISION - = 4. - + Java = 1.6; this allows the removal of epsilon, min, hypot, - log1p, copysign, cbrt from GeoMath. - - * CMake updates: - + Fine tune Visual Studio compatibility check in - find_package(GeographicLib); this allows GeographicLib compiled - with Visual Studio 14 2015 to be used with a project compiled - with Visual Studio 15 2017 and 16 2019. - + Suppress warnings with dotnet build. - + Change CMake target names and add an interface library (thanks - to Matthew Woehlke). - + Remove pre-3.1.0 cruft and update the documentation to remove - the need to call include_dirctories. - + Add _d suffix to example and test programs. - + Changer installation path for binary installer to the Windows - default. - + Add support for Intel compiler (for C++, C, Fortran). This - entails supplying the -fp-model precise flag to prevent the - compiler from incorrectly simplying (a + b) + c and 0.0 + x. - - * Add version 2 of the World Magnetic Model 2015, wmm2015v2. This is - now the default magnetic model for MagneticField (replacing wmm2015 - which is now deprecated). Coming in 2019-12: the wmm2020 model. - - * The -f flag in the scripts geographiclib-get-geoids, - geographiclib-get-gravity, and geographiclib-get-magnetic, allows - you to load new models (not yet in the set defined by "all"). This - is in addition to its original role of allowing you to overwrite - existing models. - - * Changes in math function support: - + Move some of the functionality from Math.hpp to Math.cpp to make - compilation of package which depend on GeographicLib less - sensitive to the current compiler environment. - + Add Math::remainder, Math::remquo, Math::round, and - Math::lround. Also add implementations of remainder, remquo to - C implementation. - + Math::cbrt, Math::atanh, and Math::asinh now preserve the sign - of -0. (Also: C, Java, JavaScript, Python, MATLAB. Not - necessary: Fortran because sign is a built-in function.) - + JavaScript: fall back to Math.hypot, Math.cbrt, Math.log1p, - Math.atanh if they are available. - - * When parsing DMS strings ignore various non-breaking spaces (C++ and - JavaScript). - - * Improve code coverage in the tests of geodesic algorithms (C++, C, - Java, JavaScript, Python, MATLAB, Fortran). - - * Old deprecated NormalGravity::NormalGravity constructor removed. - - * Additions to the documentation: - + add documentation links to ge{distance,reckon}.m; - + clarify which solution is returned for Geocentric::Reverse. - -Changes between 1.49 (released 2017-10-05) and 1.48 versions: - - * Add the Enhanced Magnetic Model 2017, emm2017. This is valid for - 2000 thru the end of 2021. - - * Avoid potential problems with the order of initializations in DMS, - GARS, Geohash, Georef, MGRS, OSGB, SphericalEngine; this only would - have been an issue if GeographicLib objects were instantiated - globally. Now no GeographicLib initialization code should be run - prior to the entry of main(). - - * To support the previous fix, add an overload, Utility::lookup(const - char* s, char c). - - * NearestNeighbor::Search throws an error if pts is the wrong size - (instead of merely returning no results). - - * Use complex arithmetic for Clenshaw sums in TransverseMercator and - tranmerc_{fwd,inv}.m. - - * Changes in cmake support: - + fix compiler flags for GEOGRAPHICLIB_PRECISION = 4; - + add CONVERT_WARNINGS_TO_ERRORS option (default OFF), if ON then - compiler warnings are treated as errors. - - * Fix warnings about implicit conversions of doubles to bools in C++, - C, and JavaScript packages. - - * Binary installers for Windows now use Visual Studio 14 2015. - -Changes between 1.48 (released 2017-04-09) and 1.47 versions: - - * The "official" URL for GeographicLib is now - https://geographiclib.sourceforge.io (instead of - http://geographiclib.sourceforge.net). - - * The default range for longitude and azimuth is now (-180d, 180d], - instead of [-180d, 180d). This was already the case for the C++ - library; now the change has been made to the other implementations - (C, Fortran, Java, JavaScript, Python, MATLAB, and Maxima). - - * Changes to NearestNeighbor: - + fix BUG in reading a NearestNeighbor object from a stream which - sometimes incorrectly caused a "Bad index" exception to be thrown; - + add operator<<, operator>>, swap, - std::swap(NearestNeighbor&, NearestNeighbor&); - - * Additions to the documentation: - + add documentation on finding nearest neighbors; - + normal gravity documentation is now on its own page and now has an - illustrative figure; - + document the truncation error in the series for auxiliary - latitudes. - - * Fix BUGS in MATLAB function geodreckon with mixed scalar and array - arguments. - - * Workaround bug in math.fmod for Python 2.7 on 32-bit Windows - machines. - - * Changes in cmake support: - + add USE_BOOST_FOR_EXAMPLES option (default OFF), if ON search for - Boost libraries for building examples; - + add APPLE_MULTIPLE_ARCHITECTURES option (default OFF), if ON build - for both i386 and x86_64 on Mac OS X systems; - + don't add flag for C++11 for g++ 6.0 (since it's not needed). - - * Fix compiler warnings with Visual Studio 2017 and for the C library. - -Changes between 1.47 (released 2017-02-15) and 1.46 versions: - - * Add NearestNeighbor class. - - * Improve accuracy of area calculation (fixing a flaw introduced in - version 1.46); fix applied in Geodesic, GeodesicExact, and the - implementations in C, Fortran, Java, JavaScript, Python, MATLAB, and - Maxima. - - * Generalize NormalGravity to allow oblate and prolate ellipsoids. As - a consequence a new form of constructor has been introduced and the - old form is now deprecated (and because the signatures of the two - constructors are similar, the compiler will warn about the use of - the old one). - - * Changes in Math class: - + Math::sincosd, Math::sind, Math::cosd only return -0 for the case - sin(-0); - + Math::atan2d and Math::AngNormalize return results in (-180deg, - 180deg]; this may affect the longitudes and azimuth returned by - several other functions. - - * Add Utility::trim() and Utility::val(); Utility::num() is now - DEPRECATED. - - * Changes in cmake support: - + remove support of PACKAGE_PATH and INSTALL_PATH in cmake - configuration; - + fix to FindGeographicLib.cmake to make it work on Debian systems; - + use $ (cmake version >= 3.1); - + use NAMESPACE for exported targets; - + geographiclib-config.cmake exports GEOGRAPHICLIB_DATA, - GEOGRAPHICLIB_PRECISION, and GeographicLib_HIGHPREC_LIBRARIES. - - * Add pkg-config support for cmake and autoconf builds. - - * Minor fixes: - + fix the order of declarations in C library, incorporating the - patches in version 1.46.1; - + fix the packaging of the python library, incorporating the patches - in version 1.46.3; - + restrict junit dependency in the Java package to testing scope - (thanks to Mick Killianey); - + various behind-the-scenes fixes to EllipticFunction; - + fix documentation and default install location for Windows binary - installers; - + fix clang compiler warnings in GeodesicExactC4 and - TransverseMercator. - -Changes between 1.46 (released 2016-02-15) and 1.45 versions: - - * The following BUGS have been fixed: - + the -w flag to Planimeter(1) was being ignored; - + in the Java package, the wrong longitude was being returned with - direct geodesic calculation with a negative distance when starting - point was at a pole (this bug was introduced in version 1.44); - + in the JavaScript package, PolygonArea.TestEdge contained a - misspelling of a variable name and other typos (problem found by - threepointone). - - * INCOMPATIBLE CHANGES: - + make the -w flag (to swap the default order of latitude and - longitude) a toggle for all utility programs; - + the -a option to GeodSolve(1) now toggles (instead of sets) arc - mode; - + swap order coslon and sinlon arguments in CircularEngine class. - - * Remove deprecated functionality: - + remove gradient calculation from the Geoid class and GeoidEval(1) - (this was inaccurate and of dubious utility); - + remove reciprocal flattening functions, InverseFlattening in many - classes and Constants::WGS84_r(); stop treating flattening > 1 as - the reciprocal flattening in constructors; - + remove DMS::Decode(string), DMS::DecodeFraction, - EllipticFunction:m, EllipticFunction:m1, Math::extradigits, - Math::AngNormalize2, PolygonArea::TestCompute; - + stop treating LONG_NOWRAP as an alias for LONG_UNROLL in Geodesic - (and related classes) and Rhumb; - + stop treating full/schmidt as aliases for FULL/SCHMIDT in - SphericalEngine (and related classes); - + remove qmake project file src/GeographicLib.pro because QtCreator - can handle cmake projects now; - + remove deprecated Visual Studio 2005 project and solution files. - - * Changes to GeodesicLine and GeodesicLineExact classes; these changes - (1) simplify the process of computing waypoints on a geodesic given - two endpoints and (2) allow a GeodesicLine to be defined which is - consistent with the solution of the inverse problem (in particular - Geodesic::InverseLine the specification of south-going lines which - pass the poles in a westerly direction by setting sin alpha_1 = -0): - + the class stores the distance s13 and arc length a13 to a - reference point 3; by default these quantities are NaNs; - + GeodesicLine::SetDistance (and GeodesicLine::SetArc) specify the - distance (and arc length) to point 3; - + GeodesicLine::Distance (and GeodesicLine::Arc) return the distance - (and arc length) to point 3; - + new methods Geodesic::InverseLine and Geodesic::DirectLine return - a GeodesicLine with the reference point 3 defined as point 2 of - the corresponding geodesic calculation; - + these changes are also included in the C, Java, JavaScript, and - Python packages. - - * Other changes to the geodesic routines: - + more accurate solution of the inverse problem when longitude - difference is close to 180deg (also in C, Fortran, Java, - JavaScript, Python, MATLAB, and Maxima packages); - + more accurate calculation of lon2 in the inverse calculation with - LONG_UNROLL (also in Java, JavaScript, Python packages). - - * Changes to GeodSolve(1) utility: - + the -I and -D options now specify geodesic line calculation via - the standard inverse or direct geodesic problems; - + rename -l flag to -L to parallel the new -I and -D flags (-l is is - retained for backward compatibility but is deprecated), and - similarly for RhumbSolve(1); - + the -F flag (in conjunction with the -I or -D flags) specifies - that distances read on standard input are fractions of s13 or a13; - + the -a option now toggles arc mode (noted above); - + the -w option now toggles longitude first mode (noted above). - - * Changes to Math class: - + Math::copysign added; - + add overloaded version of Math::AngDiff which returns the error in - the difference. This allows a more accurate treatment of inverse - geodesic problem when lon12 is close to 180deg; - + Math::AngRound now converts tiny negative numbers to -0 (instead - of +0), however -0 is still converted to +0. - - * Add -S and -T options to GeoConvert(1). - - * Add Sphinx documentation for Python package. - - * Samples of wrapping the C++ library, so it's accessible in other - languages, are given in wrapper/C, wrapper/python, and - wrapper/matlab. - - * Binary installers for Windows now use Visual Studio 12 2013. - - * Remove top-level pom.xml from release (it was specific to SRI). - - * A reminder: because of the JavaScript changes introduced in version - 1.45, you should remove the following installation directories from - your system: - + Windows: ${CMAKE_INSTALL_PREFIX}/doc/scripts - + Others: ${CMAKE_INSTALL_PREFIX}/share/doc/GeographicLib/scripts - -Changes between 1.45 (released 2015-09-30) and 1.44 versions: - - * Fix BUG in solution of inverse geodesic caused by misbehavior of - some versions of Visual Studio on Windows (fmod(-0.0, 360.0) returns - +0.0 instead of -0.0) and Octave (sind(-0.0) returns +0.0 instead of - -0.0). These bugs were exposed because max(-0.0, +0.0) returns -0.0 - for some languages. - - * Geodesic::Inverse now correctly returns NaNs if one of the latitudes - is a NaN. - - * Changes to JavaScript package: - + thanks to help from Yurij Mikhalevich, it is a now a node package - that can be installed with npm; - + make install now installs the node package in - lib/node_modules/geographiclib; - + add unit tests using mocha; - + add documentation via JSDoc; - + fix bug Geodesic.GenInverse (this bug, introduced in version 1.44, - resulted in the wrong azimuth being reported for points at the - pole). - - * Changes to Java package: - + add implementation of ellipsoidal Gnomonic projection (courtesy of - Sebastian Mattheis); - + add unit tests using JUnit; - + Math.toRadians and Math.toDegrees are used instead of - GeoMath.degree (which is now removed), as a result... - + Java version 1.2 (released 1998-12) or later is now required. - - * Changes to Python package: - + add unit tests using the unittest framework; - + fixed bug in normalization of the area. - - * Changes to MATLAB package: - + fix array size mismatch in geoddistance by avoiding calls to - subfunctions with zero-length arrays; - + fix tranmerc_{fwd,inv} so that they work with arrays and mixed - array/scalar arguments; - + work around Octave problem which causes mgrs_fwd to return garbage - with prec = 10 or 11; - + add geographiclib_test.m to run a test suite. - - * Behavior of substituting 1/f for f if f > 1 is now deprecated. This - behavior has been removed from the JavaScript, C, and Python - implementations (it was never documented). Maxima, MATLAB, and - Fortran implementations never included this behavior. - - * Other changes: - + fix bug, introduced in version 1.42, in the C++ implementation to - the computation of area which causes NaNs to be returned in the - case of a sphere; - + fixed bug, introduced in version 1.44, in the detection of C++11 - math functions in configure.ac; - + throw error on non-convergence in Gnomonic::Reverse if - GEOGRAPHICLIB_PRECISION > 3; - + add geod_polygon_clear to C library; - + turn illegal latitudes into NaNs for Fortran library; - + add test suites for the C and Fortran libraries. - -Changes between 1.44 (released 2015-08-14) and 1.43 versions: - - * Various changes to improve accuracy, e.g., by minimizing round-off - errors: - + Add Math::sincosd, Math::sind, Math::cosd which take their - arguments in degrees. These functions do exact range reduction - and thus they obey exactly the elementary properties of the - trigonometric functions, e.g., sin 9d = cos 81d - = - sin 123456789d. - + Math::AngNormalize now works for any angles, instead of angles in - the range [-540d, 540d); the function Math::AngNormalize2 is now - deprecated. - + This means that there is now no restriction on longitudes and - azimuths; any values can be used. - + Improve the accuracy of Math::atan2d. - + DMS::Decode avoids unnecessary round-off errors; thus 7:33:36 and - 7.56 result in identical values. DMS::Encode rounds ties to even. - These changes have also been made to DMS.js. - + More accurate rounding in MGRS::Reverse and mgrs_inv.m; this - change only makes a difference at sub-meter precisions. - + With MGRS::Forward and mgrs_fwd.m, ensure that digits in lower - precision results match those at higher precision; as a result, - strings of trailing 9s are less likely to be generated. This - change only makes a difference at sub-meter precisions. - + Replace the series for A2 in the Geodesic class with one with - smaller truncation errors. - + Geodesic::Inverse sets s12 to zero for coincident points at pole - (instead of returning a tiny quantity). - + Math::LatFix returns its argument if it is in [-90d, 90d]; if not, - it returns NaN. - + Using Math::LatFix, routines which don't check their arguments now - interpret a latitude outside the legal range of [-90d, 90d] as a - NaN; such routines will return NaNs instead of finite but - incorrect results; caution: code that (dangerously) relied on the - "reasonable" results being returned for values of the latitude - outside the allowed range will now malfunction. - - * All the utility programs accept the -w option to swap the - latitude-longitude order on input and output (and where appropriate - on the command-line arguments). CartConvert now accepts the -p - option to set the precision; now all of the utilities except - GeoidEval accept -p. - - * Add classes for GARS, the Global Area Reference System, and for - Georef, the World Geographic Reference System. - - * Changes to DMS::Decode and DMS.js: - + tighten up the rules: - o 30:70.0 and 30:60 are illegal (minutes and second must be - strictly less than 60), however - o 30:60.0 and 30:60. are legal (floating point 60 is OK, since it - might have been generated by rounding 59.99...); - + generalize a+b concept, introduced in version 1.42, to any number - of pieces; thus 8+0:40-0:0:10 is interpreted as 8:39:50. - - * Documentation fixes: - + update man pages to refer to GeoConvert(1) on handling of - geographic coordinates; - + document limitations of the series used for TransverseMercator; - + hide the documentation of the computation of the gradient of the - geoid height (now deprecated) in the Geoid class; - + warn about the possible misinterpretation of 7.0E+1 by - DMS::Decode; - + swaplatlong optional argument of DMS::DecodeLatLon and various - functions in the GeoCoords class is now called longfirst; - + require Doxygen 1.8.7 or later. - - * More systematic treatment of version numbers: - + Python: __init__.py defines __version__ and __version_info__; - + JavaScript: - o Math.js defines Constants.version and Constants.version_string; - o version number included as comment in packed script - geographiclib.js; - o geod-calc.html and geod-google.html report the version number; - o https://geographiclib.sourceforge.io/scripts/ gives access to - earlier versions of geographiclib.js as geographiclib-m.nn.js; - + Fortran: add geover subroutine to return version numbers; - + Maxima: geodesic.mac defines geod_version; - + CGI scripts: these report the version numbers of the utilities. - - * BUG FIXES: - + NormalGravity now works properly for a sphere (omega = f = J2 = - 0), instead of returning NaNs (problem found by htallon); - + CassiniSoldner::Forward and cassini_fwd.m now returns the correct - azimuth for points at the pole. - - * MATLAB-specific fixes: - + mgrs_fwd now treats treats prec > 11 as prec = 11; - + illegal letter combinations are now correctly detected by - mgrs_inv; - + fixed bug where mgrs_inv returned the wrong results for prec = 0 - strings and center = 0; - + mgrs_inv now decodes prec = 11 strings properly; - + routines now return array results with the right shape; - + routines now properly handle mixed scalar and array arguments. - - * Add Accumulator::operator*=(T y). - - * Geohash uses "invalid" instead of "nan" when the latitude or - longitude is a nan. - -Changes between 1.43 (released 2015-05-23) and 1.42 versions: - - * Add the Enhanced Magnetic Model 2015, emm2015. This is valid for - 2000 thru the end of 2019. This required some changes in the - MagneticModel and MagneticCircle classes; so this model cannot be - used with versions of GeographicLib prior to 1.43. - - * Fix BLUNDER in PolarStereographic constructor introduced in version - 1.42. This affected UTMUPS conversions for UPS which could be - incorrect by up to 0.5 km. - - * Changes in the LONG_NOWRAP option (added in version 1.39) in the - Geodesic and GeodesicLine classes: - + The option is now called LONG_UNROLL (a less negative sounding - term); the original name, LONG_NOWRAP, is retained for backwards - compatibility. - + There were two bad BUGS in the implementation of this capability: - (a) it gave incorrect results for west-going geodesics; (b) the - option was ignored if used directly via the GeodesicLine class. - The first bug affected the implementations in all languages. The - second affected the implementation in C++ (GeodesicLine and - GeodesicLineExact), JavaScript, Java, C, Python. These bugs have - now been FIXED. - + The GeodSolve utility now accepts a -u option, which turns on the - LONG_UNROLL treatment. With this option lon1 is reported as - entered and lon2 is given such that lon2 - lon1 indicates how - often and in what sense the geodesic has encircled the earth. - (This option also affects the value of longitude reported when an - inverse calculation is run with the -f option.) - + The inverse calculation with the JavaScript and python libraries - similarly sets lon1 and lon2 in output dictionary respecting the - LONG_UNROLL flag. - + The online version of GeodSolve now offers an option to unroll the - longitude. - + To support these changes DMS::DecodeLatLon no longer reduces the - longitude to the range [-180deg, 180deg) and Math::AngRound now - coverts -0 to +0. - - * Add Math::polyval (also to C, Java, JavaScript, Fortran, python - versions of the library; this is a built-in function for - MATLAB/Octave). This evaluates a polynomial using Horner's method. - The Maxima-generated code fragments for the evaluation of series in - the Geodesic, TransverseMercator, and Rhumb classes and MATLAB - routines for great ellipses have been replaced by Maxima-generated - arrays of polynomial coefficients which are used as input to - Math::polyval. - - * Add MGRS::Check() to verify that a, f, k_UTM, and k_UPS are - consistent with the assumptions in the UTMUPS and MGRS classes. - This is invoked with GeoConvert --version. (This function was added - to document and check the assumptions used in the UTMUPS and MGRS - classes in case they are extended to deal with ellipsoids other than - WS84.) - - * MATLAB function mgrs_inv now takes an optional center argument and - strips white space from both beginning and end of the string. - - * Minor internal changes: - + GeodSolve sets the geodesic mask so that unnecessary calculations - are avoided; - + some routines have migrated into a math class for for python, - Java, JavaScript libraries. - - * A reminder: because of changes in the installation directories for - non-Windows systems introduced in version 1.42, you should remove - the following directories from your system: - + ${CMAKE_INSTALL_PREFIX}/share/cmake/GeographicLib* - + ${CMAKE_INSTALL_PREFIX}/libexec/GeographicLib/matlab - -Changes between 1.42 (released 2015-04-28) and 1.41 versions: - - * DMS::Decode allows a single addition or subtraction operation, e.g., - 70W+0:0:15. This affects the GeoCoords class and the utilities - (which use the DMS class for reading coordinates). - - * Add Math::norm, Math::AngRound, Math::tand, Math::atan2d, - Math::eatanhe, Math::taupf, Math::tauf, Math::fma and remove - duplicated (but private) functionality from other classes. - - * On non-Windows systems, the cmake config-style find_package files - are now installed under ${CMAKE_INSTALL_PREFIX}/lib${LIB_SUFFIX} - instead of ${CMAKE_INSTALL_PREFIX}/share, because the files are - architecture-specific. This change will let 32-bit and 64-bit - versions coexist on the same machine (in lib and lib64). You should - remove the versions in the old "share" location. - - * MATLAB changes: - + provide native MATLAB implementations for compiled interface - functions; - + the compiled MATLAB interface is now deprecated and so the - MATLAB_COMPILER option in the cmake build has been removed; - + reorganize directories, so that - o matlab/geographiclib contains the native matlab code; - o matlab/geographiclib-legacy contains wrapper functions to mimic - the previous compiled functionality; - + the installed MATLAB code mirrors this layout, but the parent - installation directory on non-Windows systems is - ${CMAKE_INSTALL_PREFIX}/share (instead of - ${CMAKE_INSTALL_PREFIX}/libexec), because the files are now - architecture independent; - + matlab/geographiclib is now packaged and distributed as MATLAB - File Exchange package 50605 (this supersedes three earlier MATLAB - packages); - + point fix for geodarea.m to correct bug in area of polygons which - encircle a pole multiple times (released as version 1.41.1 of - MATLAB File Exchange package 39108, 2014-04-22). - - * artifactId for Java package changed from GeographicLib to - GeographicLib-Java and the package is now deployed to Maven Central - (thanks to Chris Bennight for help on this). - - * Fix autoconf mismatch of version numbers (which were inconsistent in - versions 1.40 and 1.41). - - * Mark the computation of the gradient of the geoid height in the - Geoid class and the GeoidEval utility - as deprecated. - - * Work around the boost-quadmath bug with setprecision(0). - - * Deprecate use of Visual Studio 2005 "-vc8" project files in the - windows directory. - -Changes between 1.41 (released 2015-03-09) and 1.40 versions: - - * Fix bug in Rhumb::Inverse (with exact = true) and related functions - which causes the wrong distance to be reported if one of the end - points is at a pole. Thanks to Thomas Murray for reporting this. - - * Add International Geomagnetic Reference Field (12th generation), - which approximates the main magnetic field of the earth for the - period 1900-2020. - - * Split information about Jacobi's conformal projection to a separate - section and include more material. - -Changes between 1.40 (released 2014-12-18) and 1.39 versions: - - * Add the World Magnetic Model 2015, wmm2015. This is now the default - magnetic model for MagneticField (replacing wmm2010 which is valid - thru the end of 2014). - - * Geodesic::Inverse didn't return NaN if one of the longitudes was a - NaN (bug introduced in version 1.25). Fixed in the C++, Java, - JavaScript, C, Fortran, and Python implementations of the geodesic - routines. This bug was not present in the Matlab version. - - * Fix bug in Utility::readarray and Utility::writearray which caused - an exception in debug mode with zero-sized arrays. - - * Fix BLUNDER in OSGB::GridReference (found by kalderami) where the - wrong result was returned if the easting or northing was negative. - - * OSGB::GridReference now returns "INVALID" if either coordinate is - NaN. Similarly a grid reference starting with "IN" results in NaNs - for the coordinates. - - * Default constructor for GeoCoords corresponds to an undefined - position (latitude and longitude = NaN), instead of the north pole. - - * Add an online version of RhumbSolve at - https://geographiclib.sourceforge.io/cgi-bin/RhumbSolve. - - * Additions to the documentation: - + documentation on Jacobi's conformal projection; - + a page on Auxiliary latitudes (actually, this was added in - version 1.39); - + document the use of two single quotes to stand for a double quote - in DMS (this feature was introduced in version 1.13). - - * The Matlab function, geographiclibinterface, which compiles the - wrapper routines for Matlab now works with Matlab 2014b on a Mac. - -Changes between 1.39 (released 2014-11-11) and 1.38 versions: - - * GeographicLib usually normalizes longitudes to the range [-180deg, - 180deg). However, when solving the direct geodesic and rhumb line - problems, it is sometimes necessary to know how many lines the line - encircled the earth by returning the longitude "unwrapped". So the - following changes have been made: - + add a LONG_NOWRAP flag to mask enums for the outmask arguments for - Geodesic, GeodesicLine, Rhumb, and RhumbLine; - + similar changes have been made to the Python, Javascript, and - Java implementations of the geodesic routines; - + for the C, Fortran, and Matlab implementations the arcmode - argument to the routines was generalized to allow a combination of - ARCMODE and LONG_NOWRAP bits; - + the Maxima version now returns the longitude unwrapped. - These changes were necessary to fix the PolygonAreaT::AddEdge (see - the next item). - - * Changes in area calculations: - + fix BUG in PolygonAreaT::AddEdge (also in C, Java, Javascript, and - Python implementations) which sometimes causes the wrong area to - be returned if the edge spanned more than 180deg; - + add area calculation to the Rhumb and RhumbLine classes and the - RhumbSolve utility; - + add PolygonAreaRhumb typedef for PolygonAreaT; - + add -R option to Planimeter to use PolygonAreaRhumb (and -G option - for the default geodesic polygon); - + fix BLUNDER in area calculation in Matlab routine geodreckon; - + add area calculation to Matlab/Octave routines for great ellipses. - - * Fix bad BUG in Geohash::Reverse; this was introduced in version 1.37 - and affected all platforms where unsigned longs are 32-bits. Thanks - to Christian Csar for reporting and diagnosing this. - - * Binary installers for Windows are now built with Visual Studio 11 - 2012 (instead of Visual Studio 10 2010). Compiled Matlab support - still with version 2013a (64-bit). - - * Update GeographicLib.pro for builds with qmake to include all the - source files. - - * Cmake updates: - + include cross-compiling checks in cmake config file; - + improve the way unsuitable versions are reported; - + include_directories (${GeographicLib_INCLUDE_DIRS}) is no longer - necessary with cmake 2.8.11 or later. - - * legacy/Fortran now includes drop-in replacements for the geodesic - utilities from the NGS. - - * geographiclib-get-{geoids,gravity,magnetic} with no arguments now - print the usage instead of loading the minimal sets. - - * Utility::date(const std::string&, int&, int&, int&) and hence the - MagneticField utility accepts the string "now" as a legal time - (meaning today). - -Changes between 1.38 (released 2014-10-02) and 1.37 versions: - - * On MacOSX, the installed package is relocatable (for cmake version - 2.8.12 and later). - - * On Mac OSX, GeographicLib can be installed using homebrew. - - * In cmake builds under Windows, set the output directories so that - binaries and shared libraries are together. - - * Accept the minus sign as a synonym for - in DMS.{cpp,js}. - - * The cmake configuration file geographiclib-depends.cmake has been - renamed to geographiclib-targets.cmake. - - * Matlab/Octave routines for great ellipses added. - - * Provide man pages for geographiclib-get-{geoids,gravity,magnetic}. - -Changes between 1.37 (released 2014-08-08) and 1.36 versions: - - * Add support for high precision arithmetic. - - * INCOMPATIBLE CHANGE: the static instantiations of various classes - for the WGS84 ellipsoid have been changed to a "construct on first - use idiom". This avoids a lot of wasteful initialization before the - user's code starts. Unfortunately it means that existing source - code that relies on any of the following static variables will need - to be changed to a function call: - + AlbersEqualArea::AzimuthalEqualAreaNorth - + AlbersEqualArea::AzimuthalEqualAreaSouth - + AlbersEqualArea::CylindricalEqualArea - + Ellipsoid::WGS84 - + Geocentric::WGS84 - + Geodesic::WGS84 - + GeodesicExact::WGS84 - + LambertConformalConic::Mercator - + NormalGravity::GRS80 - + NormalGravity::WGS84 - + PolarStereographic::UPS - + TransverseMercator::UTM - + TransverseMercatorExact::UTM - Thus, occurrences of, for example, - const Geodesic& geod = Geodesic::WGS84; // version 1.36 and earlier - need to be changed to - const Geodesic& geod = Geodesic::WGS84(); // version 1.37 and later - (note the parentheses!); alternatively use - // works with all versions - const Geodesic geod(Constants::WGS84_a(), Constants::WGS84_a()); - - * Incompatible change: the environment variables - {GEOID,GRAVITY,MAGNETIC}_{NAME,PATH} are now prefixed with - GEOGRAPHICLIB_. - - * Incompatible change for Windows XP: retire the Windows XP common - data path. If you're still using Windows XP, then you might have to - move the folder C:\Documents and Settings\All Users\Application - Data\GeographicLib to C:\ProgramData\GeographicLib. - - * All macro names affecting the compilation now start with - GEOGRAPHICLIB_; this applies to GEOID_DEFAULT_NAME, - GRAVITY_DEFAULT_NAME, MAGNETIC_DEFAULT_NAME, PGM_PIXEL_WIDTH, - HAVE_LONG_DOUBLE, STATIC_ASSERT, WORDS_BIGENDIAN. - - * Changes to PolygonArea: - + introduce PolygonAreaT which takes a geodesic class as a - parameter; - + PolygonArea and PolygonAreaExact are typedef'ed to - PolygonAreaT and PolygonAreaT; - + add -E option to Planimeter to use PolygonAreaExact; - + add -Q option to Planimeter to calculate the area on the authalic - sphere. - - * Add -p option to Planimeter, ConicProj, GeodesicProj, - TransverseMercatorProj. - - * Add Rhumb and RhumbLine classes and the RhumbSolve utility. - - * Minor changes to NormalGravity: - + add J2ToFlattening and FlatteningToJ2; - + use Newton's method to determine f from J2; - + in constructor, allow omega = 0 (i.e., treat the spherical case). - - * Add grs80 GravityModel. - - * Make geographiclib-get-{geoids,gravity,magnetic} scripts work on - MacOS. - - * Minor changes: - + simplify cross-platform support for C++11 mathematical functions; - + change way area coefficients are given in GeodesicExact to improve - compile times; - + enable searching the online documentation; - + add macros GEOGRAPHICLIB_VERSION and GEOGRAPHICLIB_VERSION_NUM; - + add solution and project files for Visual Studio Express 2010. - -Changes between 1.36 (released 2014-05-13) and 1.35 versions: - - * Changes to comply with NGA's prohibition of the use of the - upper-case letters N/S to designate the hemisphere when displaying - UTM/UPS coordinates: - + UTMUPS::DecodeZone allows north/south as hemisphere designators - (in addition to n/s); - + UTMUPS::EncodeZone now encodes the hemisphere in lower case (to - distinguish this use from a grid zone designator); - + UTMUPS::EncodeZone takes an optional parameter abbrev to - indicate whether to use n/s or north/south as the hemisphere - designator; - + GeoCoords::UTMUPSRepresentation and AltUTMUPSRepresentation - similarly accept the abbrev parameter; - + GeoConvert uses the flags -a and -l to govern whether UTM/UPS - output uses n/s (the -a flag) or north/south (the -l flag) to - denote the hemisphere; - + Fixed a bug what allowed +3N to be accepted as an alternation - UTM zone designation (instead of 3N). - WARNING: The use of lower case n/s for the hemisphere might cause - compatibility problems. However DecodeZone has always accepted - either case; so the issue will only arise with other software - reading the zone information. To avoid possible misinterpretation - of the zone designator, consider calling EncodeZone with abbrev = - false and GeoConvert with -l, so that north/south are used to - denote the hemisphere. - - * MGRS::Forward with prec = -1 will produce a grid zone designation. - Similarly MGRS::Reverse will decode a grid zone designation (and - return prec = -1). - - * Stop using the throw() declaration specification which is - deprecated in C++11. - - * Add missing std:: qualifications to copy in LocalCartesion and - Geocentric headers (bug found by Clemens). - -Changes between 1.35 (released 2014-03-13) and 1.34 versions: - - * Fix blunder in UTMUPS::EncodeEPSG (found by Ben Adler). - - * Matlab wrapper routines geodesic{direct,inverse,line} switch to - "exact" routes if |f| > 0.02. - - * GeodSolve.cgi allows ellipsoid to be set (and uses the -E option - for GeodSolve). - - * Set title in HTML versions of man pages for the utility programs. - - * Changes in cmake support: - + add _d to names of executables in debug mode of Visual Studio; - + add support for Android (cmake-only), thanks to Pullan Yu; - + check CPACK version numbers supplied on command line; - + configured version of project-config.cmake.in is - project-config.cmake (instead of geographiclib-config.cmake), to - prevent find_package incorrectly using this file; - + fix tests with multi-line output; - + this release includes a file, pom.xml, which is used by an - experimental build system (based on maven) at SRI. - -Changes between 1.34 (released 2013-12-11) and 1.33 versions: - - * Many changes in cmake support: - + minimum version of cmake needed increased to 2.8.4 (which was - released in 2011-02); - + allow building both shared and static librarys with - -D GEOGRAPHICLIB_LIB_TYPE=BOTH; - + both shared and static libraries (Release plus Debug) included in - binary installer; - + find_package uses COMPONENTS and GeographicLib_USE_STATIC_LIBS to - select the library to use; - + find_package version checking allows nmake and Visual Studio - generators to interoperate on Windows; - + find_package (GeographicLib ...) requires that GeographicLib be - capitalized correctly; - + on Unix/Linux, don't include the version number in directory for - the cmake configuration files; - + defaults for GEOGRAPHICLIB_DOCUMENTATION and - BUILD_NETGEOGRAPHICLIB are now OFF; - + the GEOGRAPHICLIB_EXAMPLES configuration parameter is no longer - used; cmake always configures to build the examples, but they are - not built by default (instead build targets: exampleprograms and - netexamples); - + matlab-all target renamed to matlabinterface; - + the configuration parameters PACKAGE_PATH and INSTALL_PATH are - now deprecated (use CMAKE_INSTALL_PREFIX instead); - + on Linux, the installed package is relocatable; - + on MacOSX, the installed utilities can find the shared library. - - * Use a more precise value for OSGB::CentralScale(). - - * Add Arc routines to python interface. - - * The Geod utility has been removed; the same functionality lives on - with GeodSolve (introduced in version 1.30). - -Changes between 1.33 (released 2013-10-08) and 1.32 versions: - - * Add NETGeographic .NET wrapper library (courtesy of Scott Heiman). - - * Make inspector functions in GeographicLib::Ellipsoid const. - - * Add Accumulator.cpp to instantiate GeographicLib::Accumulator. - - * Defer some of the initialization of GeographicLib::OSGB to when it - is first called. - - * Fix bug in autoconf builds under MacOS. - -Changes between 1.32 (released 2013-07-12) and 1.31 versions: - - * Generalize C interface for polygon areas to allow vertices to be - specified incrementally. - - * Fix way flags for C++11 support are determined. - -Changes between 1.31 (released 2013-07-01) and 1.30 versions: - - * Changes breaking binary compatibility (source compatibility is - maintained): - + overloaded versions of DMS::Encode, - EllipticFunction::EllipticFunction, and - GeoCoords::DMSRepresentation, have been eliminated by the use of - optional arguments; - + correct the declaration of first arg to UTMUPS::DecodeEPSG. - - * FIX BUG in GeographicLib::GravityCircle constructor (found by - Mathieu Peyréga) which caused bogus results for the gravity - disturbance and gravity anomaly vectors. (This only affected - calculations using GravityCircle. GravityModel calculations did not - suffer from this bug.) - - * Improvements to the build: - + add macros GEOGRAPHICLIB_VERSION_{MAJOR,MINOR,PATCH} to Config.h; - + fix documentation for new version of perlpod; - + improving setting of runtime path for Unix-like systems with - cmake; - + install PDB files when compiling with Visual Studio to aid - debugging; - + Windows binary release now uses Matlab R2013a (64-bit) and uses - the -largeArrayDims option. - - * Changes to the geodesic routines: - + add Java implementation of the geodesic routines (thanks to Skip - Breidbach for the maven support); - + FIX BUG: avoid altering input args in Fortran implementation; - + more systematic treatment of very short geodesic; - + fixes to python port so that they work with version 3.x, in - addition to 2.x (courtesy of Amato); - + accumulate the perimeter and area of polygons via a double-wide - accumulator in Fortran, C, and Matlab implementations (this is - already included in the other implementations); - + port PolygonArea::AddEdge and PolygonArea::TestEdge to JavaScript - and python interfaces; - + include documentation on short geodesics. - - * Unix scripts for downloading datasets, - geographiclib-get-{geoids,gravity,magnetic}, skip already download - models by default, unless the -f flag is given. - - * FIX BUGS: meridian convergence and scale returned by - TransverseMercatorExact was wrong at a pole. - - * Improve efficiency of MGRS::Forward by avoiding the calculation of - the latitude if possible (adapting an idea of Craig Rollins). - - * Fixes to the way the Matlab interface routines are built (thanks to - Phil Miller and Chris F.). - -Changes between 1.30 (released 2013-02-27) and 1.29 versions: - - * Changes to geodesic routines: - + fix BUG in fail-safe mechanisms in Geodesic::Inverse; - + the command line utility Geod is now called GeodSolve; - + allow addition of polygon edges in PolygonArea; - + add full Maxima implementation of geodesic algorithms. - -Changes between 1.29 (released 2013-01-16) and 1.28 versions: - - * Changes to allow compilation with libc++ (courtesy of Kal Conley). - - * Add description of geodesics on triaxial ellipsoid to - documentation. - - * Update journal reference for "Algorithms for geodesics". - -Changes between 1.28 (released 2012-12-11) and 1.27 versions: - - * Changes to geodesic routines: - + compute longitude difference exactly; - + hence fix BUG in area calculations for polygons with vertices very - close to the prime meridian; - + fix BUG is geoddistance.m where the value of m12 was wrong for - meridional geodesics; - + add Matlab implementations of the geodesic projections; - + remove unneeded special code for geodesics which start at a pole; - + include polygon area routine in C and Fortran implementations; - + add doxygen documentation for C and Fortran libraries. - -Changes between 1.27 (released 2012-11-29) and 1.26 versions: - - * Changes to geodesic routines: - + add native Matlab implementations: geoddistance.m, geodreckon.m, - geodarea.m; - + add C and Fortran implementations; - + improve the solution of the direct problem so that the series - solution is accurate to round off for |f| < 1/50; - + tighten up the convergence criteria for solution of the inverse - problem; - + no longer signal failures of convergence with NaNs (a slightly - less accurate answer is returned instead). - - * Fix DMS::Decode double rounding BUG. - - * On MacOSX platforms with the cmake configuration, universal - binaries are built. - -Changes between 1.26 (released 2012-10-22) and 1.25 versions: - - * Replace the series used for geodesic areas by one with better - convergence (this only makes an appreciable difference if |f| > - 1/150). - -Changes between 1.25 (released 2012-10-16) and 1.24 versions: - - * Changes to geodesic calculations: - + restart Newton's method in Geodesic::Inverse when it goes awry; - + back up Newton's method with the bisection method; - + Geodesic::Inverse now converges for any value of f; - + add GeodesicExact and GeodesicLineExact which are formulated in - terms of elliptic integrals and thus yield accurate results - even for very eccentric ellipsoids; - + the -E option to Geod invokes these exact classes. - - * Add functionality to EllipticFunction: - + add all the traditional elliptic integrals; - + remove restrictions on argument range for incomplete elliptic - integrals; - + allow imaginary modulus for elliptic integrals and elliptic - functions; - + make interface to the symmetric elliptic integrals public. - - * Allow GeographicLib::Ellipsoid to be copied. - - * Changes to the build tools: - + cmake uses folders in Visual Studio to reduce clutter; - + allow precision of reals to be set in cmake; - + fail gracefully in the absence of pod documentation tools; - + remove support for maintainer tasks in Makefile.mk; - + upgrade to automake 1.11.6 to fix the "make distcheck" security - vulnerability; see - http://cve.mitre.org/cgi-bin/cvename.cgi?name=CVE-2012-3386 - -Changes between 1.24 (released 2012-09-22) and 1.23 versions: - - * Allow the specification of the hemisphere in UTM coordinates in - order to provide continuity across the equator: - + add UTMUPS::Transfer; - + add GeoCoords::UTMUPSRepresentation(bool, int) and - GeoCoords::AltUTMUPSRepresentation(bool, int); - + use the hemisphere letter in, e.g., GeoConvert -u -z 31N. - - * Add UTMUPS::DecodeEPSG and UTMUPS::EncodeEPSG. - - * cmake changes: - + restore support for cmake 2.4.x; - + explicitly check version of doxygen. - - * Fix building under cygwin. - - * Document restrictions on f in the Introduction. - - * Fix python interface to work with version 2.6.x. - -Changes between 1.23 (released 2012-07-17) and 1.22 versions: - - * Documentation changes: - + remove html documentation from distribution and use web links if - doxygen is not available; - + use doxygen tags to document exceptions; - + begin migrating the documentation to using Greek letters where - appropriate (requires doxygen 1.8.1.2 or later). - - * Add Math::AngNormalize and Math::AngNormalize2; the allowed range - for longitudes and azimuths widened to [-540d, 540d). - - * DMS::Decode understands more unicode symbols. - - * Geohash uses geohash code "nan" to stand for not a number. - - * Add Ellipsoid::NormalCurvatureRadius. - - * Various fixes in LambertConformalConic, TransverseMercator, - PolarStereographic, and Ellipsoid to handle reverse projections of - points near infinity. - - * Fix programming blunder in LambertConformalConic::Forward (incorrect - results were returned if the tangent latitude was negative). - -Changes between 1.22 (released 2012-05-27) and 1.21 versions: - - * Add Geohash and Ellipsoid classes. - - * Fix bug in AlbersEqualArea of very prolate ellipsoids (b^2 > 2 - a^2). - - * cmake changes: - + optionally use PACKAGE_PATH and INSTALL_PATH to determine - CMAKE_INSTALL_PREFIX; - + use COMMON_INSTALL_PATH to determine layout of installation - directories; - + as a consequence, the installation paths for the documentation, - and python and matlab interfaces are shortened for Windows; - + zip source distribution now uses DOS line endings; - + the tests work in debug mode for Windows; - + default setting of GEOGRAPHICLIB_DATA does not depend on - CMAKE_INSTALL_PREFIX; - + add a cmake configuration for build tree. - -Changes between 1.21 (released 2012-04-25) and 1.20 versions: - - * Support colon-separated DMS output: - + DMS::Encode and GeoCoords::DMSRepresentation generalized; - + GeoConvert and Geod now accept a -: option. - - * GeoidEval does not print the gradient of the geoid height by default - (because it's subject to large errors); give the -g option to get - the gradient printed. - - * Work around optimization BUG in GeographicLib::Geodesic::Inverse - with tdm mingw g++ version 4.6.1. - - * autoconf fixed to ensure that that out-of-sources builds work; - document this as the preferred method of using autoconf. - - * cmake tweaks: - + simplify the configuration of doxygen; - + allow the Matlab compiler to be specified with the MATLAB_COMPILER - option. - -Changes between 1.20 (released 2012-03-23) and 1.19 versions: - - * cmake tweaks: - + improve find_package's matching of compiler versions; - + CMAKE_INSTALL_PREFIX set from CMAKE_PREFIX_PATH if available; - + add "x64" to the package name for the 64-bit binary installer; - + fix cmake warning with Visual Studio Express. - - * Fix SphericalEngine to deal with aggressive iterator checking by - Visual Studio. - - * Fix transcription BUG is Geodesic.js. - -Changes between 1.19 (released 2012-03-13) and 1.18 versions: - - * Slight improvement in Geodesic::Inverse for very short lines. - - * Fix argument checking tests in MGRS::Forward. - - * Add --comment-delimiter and --line-separator options to the utility - programs. - - * Add installer for 64-bit Windows; the compiled Matlab interface is - supplied with the Windows 64-bit installer only. - -Changes between 1.18 (released 2012-02-18) and 1.17 versions: - - * Improve documentation on configuration with cmake. - - * cmake's find_package ensures that the compiler versions match on Windows. - - * Improve documentation on compiling Matlab interface. - - * Binary installer for Windows installs under C:/pkg-vc10 by default. - -Changes between 1.17 (released 2012-01-21) and 1.16 versions: - - * Work around optimization BUG in Geodesic::Inverse with g++ version - 4.4.0 (mingw). - - * Fix BUG in argument checking with OSGB::GridReference. - - * Fix missing include file in SphericalHarmonic2. - - * Add simple examples of usage for each class. - - * Add internal documenation to the cmake configuration files. - -Changes between 1.16 (released 2011-12-07) and 1.15 versions: - - * Add calculation of the earth's gravitational field: - + add NormalGravity GravityModel and GravityCircle classes; - + add command line utility Gravity; - + add Gravity models; - + add Constants::WGS84_GM(), Constants::WGS84_omega(), and similarly - for GRS80. - - * Build uses GEOGRAPHICLIB_DATA to specify a common parent directory - for geoid, gravity, and magnetic data (instead of - GEOGRAPHICLIB_GEOID_PATH, etc.); similarly, GeoidEval, Gravity, and - MagneticField, look at the environment variable GEOGRAPHICLIB_DATA - to locate the data. - - * Spherical harmonic software changes: - + capitalize enums SphericalHarmonic::FULL and - SphericalHarmonic::SCHMIDT (the lower case names are retained but - deprecated); - + optimize the sum by using a static table of square roots which is - updated by SphericalEngine::RootTable; - + avoid overflow for high degree models. - - * Magnetic software fixes: - + fix documentation BUG in MagneticModel::Circle; - + make MagneticModel constructor explicit; - + provide default MagneticCircle constructor; - + add additional inspector functions to MagneticCircle; - + add -c option to MagneticField; - + default height to zero in MagneticField. - -Changes between 1.15 (released 2011-11-08) and 1.14 versions: - - * Add calculation of the earth's magnetic field: - + add MagneticModel and MagneticCircle classes; - + add command line utility MagneticField; - + add Magnetic models; - + add Installing the magnetic field models; - + add The format of the magnetic model files; - + add classes SphericalEngine, CircularEngine, SphericalHarmonic, - SphericalHarmonic1, and SphericalHarmonic2. which sum spherical - harmonic series. - - * Add Utility class to support I/O and date manipulation. - - * Cmake configuration includes a _d suffix on the library built in - debug mode. - - * For the Python package, include manifest and readme files; don't - install setup.py for non-Windows systems. - - * Include Doxygen tag file in distribution as doc/html/Geographic.tag. - -Changes between 1.14 (released 2011-09-30) and 1.13 versions: - - * Ensure that geographiclib-config.cmake is relocatable. - - * Allow more unicode symbols to be used in DMS::Decode. - - * Modify GeoidEval so that it can be used to convert the height datum - for LIDAR data. - - * Modest speed-up of Geodesic::Inverse. - - * Changes in python interface: - + FIX BUG in transcription of Geodesic::Inverse; - + include setup.py for easy installation; - + python only distribution is available at - http://pypi.python.org/pypi/geographiclib - - * Supply a minimal Qt qmake project file for library - src/Geographic.pro. - -Changes between 1.13 (released 2011-08-13) and 1.12 versions: - - * Changes to I/O: - + allow : (colon) to be used as a DMS separator in DMS::Decode; - + also accept Unicode symbols for degrees, minutes, and seconds - (coded as UTF-8); - + provide optional swaplatlong argument to various DMS and GeoCoords - functions to make longitude precede latitude; - + GeoConvert now has a -w option to make longitude precede latitude - on input and output; - + include a JavaScript version of DMS. - - * Slight improvement in starting guess for solution of geographic - latitude in terms of conformal latitude in TransverseMercator, - TransverseMercatorExact, and LambertConformalConic. - - * For most classes, get rid of const member variables so that the - default copy assignment works. - - * Put Math and Accumulator in their own header files. - - * Remove unused "fast" GeographicLib::Accumulator method. - - * Reorganize the Python interface. - - * Withdraw some deprecated routines. - - * cmake changes: - + include FindGeographic.cmake in distribution; - + building with cmake creates and installs - geographiclib-config.cmake; - + better support for building a shared library under Windows. - -Changes between 1.12 (released 2011-07-21) and 1.11 versions: - - * Change license to MIT/X11. - - * Add GeographicLib::PolygonArea class and equivalent Matlab function. - - * Provide JavaScript and Python implementations of geodesic routines. - - * Fix Windows installer to include runtime dlls for Matlab. - - * Fix (innocuous) unassigned variable in Geodesic::GenInverse. - - * Geodesic routines in Matlab return a12 as first column of aux return - value (incompatible change). - - * A couple of code changes to enable compilation with Visual Studio - 2003. - -Changes between 1.11 (released 2011-06-27) and 1.10 versions: - - * Changes to Planimeter: - + add -l flag to Planimeter for polyline calculations; - + trim precision of area to 3 decimal places; - + FIX BUG with pole crossing edges (due to compiler optimization). - - * Geod no longer reports the reduced length by default; however the -f - flag still reports this and in addition gives the geodesic scales - and the geodesic area. - - * FIX BUGS (compiler-specific) in inverse geodesic calculations. - - * FIX BUG: accommodate tellg() returning -1 at end of string. - - * Change way flattening of the ellipsoid is specified: - + constructors take f argument which is taken to be the flattening - if f < 1 and the inverse flattening otherwise (this is a - compatible change for spheres and oblate ellipsoids, but it is an - INCOMPATIBLE change for prolate ellipsoids); - + the -e arguments to the Utility Programs are handled similarly; in - addition, simple fractions, e.g., 1/297, can be used for the - flattening; - + introduce Constants::WGS84_f() for the WGS84 flattening (and - deprecate Constants::WGS84_r() for the inverse flattening); - + most classes have a Flattening() member function; - + InverseFlattening() has been deprecated (and now returns inf for a - sphere, instead of 0). - -Changes between 1.10 (released 2011-06-11) and 1.9 versions: - - * Improvements to Matlab/Octave interface: - + add {geocentric,localcartesian}{forward,reverse}; - + make geographiclibinterface more general; - + install the source for the interface; - + cmake compiles the interface if ENABLE_MATLAB=ON; - + include compiled interface with Windows binary installer. - - * Fix various configuration issues - + autoconf did not install Config.h; - + cmake installed in man/man1 instead of share/man/man1; - + cmake did not set the rpath on the tools. - -Changes between 1.9 (released 2011-05-28) and 1.8 versions: - - * FIX BUG in area returned by Planimeter for pole encircling polygons. - - * FIX BUG in error message reported when DMS::Decode reads the string - "5d.". - - * FIX BUG in AlbersEqualArea::Reverse (lon0 not being used). - - * Ensure that all exceptions thrown in the Utility Programs are - caught. - - * Avoid using catch within GeographicLib::DMS. - - * Move Accumulator class from Planimeter.cpp to Constants.hpp. - - * Add Math::sq. - - * Simplify Installing the geoid datasets - + add geographiclib-get-geoids for Unix-like systems; - + add installers for Windows. - - * Provide cmake support: - + build binary installer for Windows; - + include regression tests; - + add --input-string, --input-file, --output-file options to the - Utility Programs to support tests. - - * Rename utility EquidistantTest as GeodesicProj and - TransverseMercatorTest as TransverseMercatorProj. - - * Add ConicProj. - - * Reverse the initial sense of the -s option for Planimeter. - - * Migrate source from subversion to git. - -Changes between 1.8 (released 2011-02-22) and 1.7 versions: - - * Optionally return rotation matrix from GeographicLib::Geocentric and - GeographicLib::LocalCartesian. - - * For the Utility Programs, supply man pages, -h prints the synopsis, - --help prints the man page, --version prints the version. - - * Use accurate summation in Planimeter. - - * Add 64-bit targets for Visual Studio 2010. - - * Use templates for defining math functions and some constants. - - * GeographicLib::Geoid updates - + Add GeographicLib::Geoid::DefaultGeoidPath and - GeographicLib::Geoid::DefaultGeoidName; - + GeoidEval uses environment variable GEOID_NAME as the default - geoid; - + Add --msltohae and --haetomsl as GeoidEval options (and don't - document the single hyphen versions). - - * Remove documentation that duplicates papers on transverse Mercator - and geodesics. - -Changes between 1.7 (released 2010-12-21) and 1.6 versions: - - * FIX BUG in scale returned by GeographicLib::LambertConformalConic::Reverse. - - * Add GeographicLib::AlbersEqualArea projection. - - * Library created by Visual Studio is Geographic.lib instead of - GeographicLib.lib (compatible with makefiles). - - * Make classes NaN aware. - - * Use cell arrays for MGRS strings in Matlab. - - * Add solution/project files for Visual Studio 2010 (32-bit only). - - * Use C++11 static_assert and math functions, if available. - -Change between 1.6 (released 2010-11-23) and 1.5 versions: - - * FIX BUG introduced in GeographicLib::Geoid in version 1.5 (found by - Dave Edwards). - -Changes between 1.5 (released 2010-11-19) and 1.4 versions: - - * Improve area calculations for small polygons. - - * Add -s and -r flags to Planimeter utility. - - * Improve the accuracy of GeographicLib::LambertConformalConic using - divided differences. - - * FIX BUG in meridian convergence returned by - LambertConformalConic::Forward. - - * Add optional threadsafe parameter to GeographicLib::Geoid - constructor. WARNING: This changes may break binary compatibility - with previous versions of GeographicLib. However, the library is - source compatible. - - * Add GeographicLib::OSGB. - - * Matlab and Octave interfaces to GeographicLib::UTMUPS, - GeographicLib::MGRS, GeographicLib::Geoid, GeographicLib::Geodesic - provided. - - * Minor changes - + explicitly turn on optimization in Visual Studio 2008 projects; - + add missing dependencies in some Makefiles; - + move pi() and degree() from GeographicLib::Constants to - GeographicLib::Math; - + introduce GeographicLib::Math::extended type to aid testing; - + add GeographicLib::Math::epi() and GeographicLib::Math::edegree(). - + fixes to compile under cygwin; - + tweak expression used to find latitude from conformal latitude. - -Changes between 1.4 (released 2010-09-12) and 1.3 versions: - - * Changes to GeographicLib::Geodesic and GeographicLib::GeodesicLine: - + FIX BUG in Geodesic::Inverse with prolate ellipsoids; - + add area computations to Geodesic::Direct and Geodesic::Inverse; - + add geodesic areas to geodesic test set; - + make GeodesicLine constructor public; - + change longitude series in Geodesic into Helmert-like form; - + ensure that equatorial geodesics have cos(alpha0) = 0 identically; - + generalize interface for Geodesic and GeodesicLine; - + split GeodesicLine and Geodesic into different files; - + signal convergence failure in Geodesic::Inverse with NaNs; - + deprecate one function in Geodesic and two functions in - GeodesicLine; - + deprecate -n option for Geod. - WARNING: These changes may break binary compatibility with previous - versions of GeographicLib. However, the library is source - compatible (with the proviso that GeographicLib/GeodesicLine.hpp may - now need to be included). - - * Add the Planimeter utility for computing the areas of - geodesic polygons. - - * Improve iterative solution of GeographicLib::Gnomonic::Reverse. - - * Add GeographicLib::Geoid::ConvertHeight. - - * Add -msltohae, -haetomsl, and -z options to GeoidEval. - - * Constructors check that minor radius is positive. - - * Add overloaded Forward and Reverse functions to the projection - classes which don't return the convergence (or azimuth) and scale. - - * Document function parameters and return values consistently. - -Changes between 1.3 (released 2010-07-21) and 1.2 versions: - - * Add GeographicLib::Gnomonic, the ellipsoid generalization of the - gnomonic projection. - - * Add -g and -e options to Equidistanttest. - - * Use fixed-point notation for output from Cartconvert, - Equidistanttest, Transversemercatortest. - - * PolarStereographic: - + Improved conversion to conformal coordinates; - + Fix bug with scale at opposite pole; - + Complain if latitude out of range in SetScale. - - * Add GeographicLib::Math::NaN(). - - * Add long double version of hypot for Windows. - - * Add EllipticFunction::E(real). - - * Update references to Geotrans in MGRS documentation. - - * Speed up tmseries.mac. - -Changes between 1.2 (released 2010-05-21) and 1.1 versions: - - * FIX BUGS in GeographicLib::Geodesic, - + wrong azimuth returned by Direct if point 2 is on a pole; - + Inverse sometimes fails with very close points. - - * Improve calculation of scale in GeographicLib::CassiniSoldner, - + add GeodesicLine::Scale, GeodesicLine::EquatorialAzimuth, and - GeodesicLine::EquatorialArc; - + break friend connection between CassiniSoldner and Geodesic. - - * Add DMS::DecodeAngle and DMS::DecodeAzimuth. Extend DMS::Decode and - DMS::Encode to deal with distances. - - * Code and documentation changes in Geodesic and Geocentric for - consistency with the forthcoming paper on geodesics. - - * Increase order of series using in Geodesic to 6 (full accuracy - maintained for ellipsoid flattening < 0.01). - - * Macro __NO_LONG_DOUBLE_MATH to disable use of long double. - - * Correct declaration of Math::isfinite to return a bool. - - * Changes in the Utility Programs, - + improve error reporting when parsing command line arguments; - + accept latitudes and longitudes in decimal degrees or degrees, - minutes, and seconds, with optional hemisphere designators; - + GeoConvert -z accepts zone or zone+hemisphere; - + GeoidEval accepts any of the input formats used by GeoConvert; - + CartConvert allows the ellipsoid to be specified with -e. - -Changes between 1.1 (released 2010-02-09) and 1.0 versions: - - * FIX BUG (introduced in 2009-03) in EllipticFunction::E(sn,cn,dn). - - * Increase accuracy of scale calculation in TransverseMercator and - TransverseMercatorExact. - - * Code and documentation changes for consistency with arXiv:1002.1417 - -Changes between 1.0 (released 2010-01-07) and 2009-11 versions: - - * Add autoconf configuration files. - - * BUG FIX: Improve initial guess for Newton's method in - PolarStereographic::Reverse. (Previously this failed to converge - when the co-latitude exceeded about 130 deg.) - - * Constructors for TransverseMercator, TransverseMercatorExact, - PolarStereographic, Geocentric, and Geodesic now check for obvious - problems with their arguments and throw an exception if necessary. - - * Most classes now include inspector functions such as MajorRadius() - so that you can determine how instances were constructed. - - * Add GeographicLib::LambertConformalConic class. - - * Add GeographicLib::PolarStereographic::SetScale to allow the - latitude of true scale to be specified. - - * Add solution and project files for Visual Studio 2008. - - * Add GeographicLib::GeographicErr for exceptions. - - * GeographicLib::Geoid changes: - + BUG FIX: fix typo in GeographicLib::Geoid::Cache which could cause - a segmentation fault in some cases when the cached area spanned - the prime meridian. - + Include sufficient edge data to allow heights to be returned for - cached area without disk reads; - + Add inspector functions to query the extent of the cache. - -Changes between 2009-11 and 2009-10 versions: - - * Allow specification of "closest UTM zone" in GeographicLib::UTMUPS - and GeoConvert (via -t option). - - * Utilities now complain is there are too many tokens on input lines. - - * Include real-to-real versions of GeographicLib::DMS::Decode and - GeographicLib::DMS::Encode. - - * More house-cleaning changes: - + Ensure that functions which return results through reference - arguments do not alter the arguments when an exception is thrown. - + Improve accuracy of GeographicLib::MGRS::Forward. - + Include more information in some error messages. - + Improve accuracy of inverse hyperbolic functions. - + Fix the way GeographicLib::Math functions handle different - precisions. - -Changes between 2009-10 and 2009-09 versions: - - * Change web site to https://geographiclib.sourceforge.io - - * Several house-cleaning changes: - + Change from the a flat directory structure to a more easily - maintained one. - + Introduce Math class for common mathematical functions (in - Constants.hpp). - + Use Math::real as the type for all real quantities. By default this - is typedef'ed to double; and the library should be installed this - way. - + Eliminate const reference members of AzimuthalEquidistant, - CassiniSoldner and LocalCartesian so that they may be copied. - + Make several constructors explicit. Disallow some constructors. - Disallow copy constructor/assignment for Geoid. - + Document least square formulas in Geoid.cpp. - + Use unsigned long long for files positions of geoid files in Geoid. - + Introduce optional mgrslimits argument in UTMUPS::Forward and - UTMUPS::Reverse to enforce stricter MGRS limits on eastings and - northings.in - + Add 64-bit targets in Visual Studio project files. - -Changes between 2009-09 and 2009-08 versions: - - * Add GeographicLib::Geoid and GeoidEval utility. - -Changes between 2009-08 and 2009-07 versions: - - * Add GeographicLib::CassiniSoldner class and EquidistantTest utility. - - * Fix bug in GeographicLib::Geodesic::Inverse where NaNs were - sometimes returned. - - * INCOMPATIBLE CHANGE: AzimuthalEquidistant now returns the reciprocal - of the azimuthal scale instead of the reduced length. - - * Add -n option to GeoConvert. - -Changes between 2009-07 and 2009-06 versions: - - * Speed up the series inversion code in tmseries.mac and geod.mac. - - * Reference Borkowski in section on Geocentric coordinates. - -Changes between 2009-06 and 2009-05 versions: - - * Add routines to decode and encode zone+hemisphere to GeographicLib::UTMUPS. - - * Clean up code in GeographicLib::Geodesic. - -Changes between 2009-05 and 2009-04 versions: - - * Improvements to GeographicLib::Geodesic: - + more economical series expansions, - + return reduced length (as does the Geod utility), - + improved calculation of starting point for inverse method, - + use reduced length to give derivative for Newton's method. - - * Add AzimuthalEquidistant class. - - + Make GeographicLib::Geocentric, GeographicLib::TransverseMercator, - and GeographicLib::PolarStereographic classes work with prolate - ellipsoids. - - * CartConvert checks its inputs more carefully. - - * Remove reference to defunct Constants.cpp from GeographicLib.vcproj. - -Changes between 2009-04 and 2009-03 versions: - - * Use compile-time constants to select the order of series in - GeographicLib::TransverseMercator. - - * 2x unroll of Clenshaw summation to avoid data shuffling. - - * Simplification of GeographicLib::EllipticFunction::E. - - * Use STATIC_ASSERT for compile-time checking of constants. - - * Improvements to GeographicLib::Geodesic: - + compile-time option to change order of series used, - + post maxima code for generating the series, - + tune the order of series for double, - + improvements in the selection of starting points for Newton's - method, - + accept and return spherical arc lengths, - + works with both oblate and prolate spheroids, - + add -a, -e, -b options to the Geod utility. - -Changes between 2009-03 and 2009-02 versions: - - * Add GeographicLib::Geodesic and the Geod utility. - - * Declare when no exceptions are thrown by functions. - - * Minor changes to GeographicLib::DMS class. - - * Use invf = 0 to mean a sphere in constructors to some classes. - - * The makefile creates a library and includes an install target. - - * Rename GeographicLib::ECEF to GeographicLib::Geocentric, ECEFConvert - to CartConvert. - - * Use inline functions to define constant doubles in Constants.hpp. - -Changes between 2009-02 and 2009-01 versions: - - * Fix documentation of constructors (flattening -> inverse - flattening). - - * Use std versions of math functions. - - * Add ECEF and LocalCartesian classes and ECEFConvert utility. - - * Gather the documentation on the utility programs onto one page. diff --git a/libs/GeographicLib-1.50.1/README.md b/libs/GeographicLib-1.50.1/README.md deleted file mode 100644 index 6b13c770865fa1c74a54b8c074e3a9371d9d20f8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/README.md +++ /dev/null @@ -1,11 +0,0 @@ -GeographicLib -============= - -A C++ library for geographic projections. The web site for the package -is - -> https://geographiclib.sourceforge.io - -The API for the library is documented at - -> https://geographiclib.sourceforge.io/html diff --git a/libs/GeographicLib-1.50.1/aclocal.m4 b/libs/GeographicLib-1.50.1/aclocal.m4 deleted file mode 100644 index ac35604b86f538f6704e4800d4b29514f6d845e8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/aclocal.m4 +++ /dev/null @@ -1,1231 +0,0 @@ -# generated automatically by aclocal 1.16.1 -*- Autoconf -*- - -# Copyright (C) 1996-2018 Free Software Foundation, Inc. - -# This file is free software; the Free Software Foundation -# gives unlimited permission to copy and/or distribute it, -# with or without modifications, as long as this notice is preserved. - -# This program is distributed in the hope that it will be useful, -# but WITHOUT ANY WARRANTY, to the extent permitted by law; without -# even the implied warranty of MERCHANTABILITY or FITNESS FOR A -# PARTICULAR PURPOSE. - -m4_ifndef([AC_CONFIG_MACRO_DIRS], [m4_defun([_AM_CONFIG_MACRO_DIRS], [])m4_defun([AC_CONFIG_MACRO_DIRS], [_AM_CONFIG_MACRO_DIRS($@)])]) -m4_ifndef([AC_AUTOCONF_VERSION], - [m4_copy([m4_PACKAGE_VERSION], [AC_AUTOCONF_VERSION])])dnl -m4_if(m4_defn([AC_AUTOCONF_VERSION]), [2.69],, -[m4_warning([this file was generated for autoconf 2.69. -You have another version of autoconf. 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FILE ${PROJECT_NAME_LOWER}-targets.cmake - DESTINATION "${INSTALL_CMAKE_DIR}") -install (EXPORT targets - NAMESPACE ${PROJECT_NAME}:: - FILE ${PROJECT_NAME_LOWER}-namespace-targets.cmake - DESTINATION "${INSTALL_CMAKE_DIR}") - -if (MSVC AND PACKAGE_DEBUG_LIBS) - install (FILES - "${PROJECT_BINARY_DIR}/cmake/CMakeFiles/Export/cmake/${PROJECT_NAME_LOWER}-targets-debug.cmake" - DESTINATION "${INSTALL_CMAKE_DIR}" CONFIGURATIONS Release) -endif () - -# Support for pkgconfig/geographiclib.pc -set (prefix ${CMAKE_INSTALL_PREFIX}) -set (exec_prefix "\${prefix}") -set (libdir "\${exec_prefix}/lib${LIB_SUFFIX}") -set (includedir "\${prefix}/include") -set (bindir "\${exec_prefix}/bin") -set (PACKAGE_NAME "${PROJECT_NAME}") -set (PACKAGE_VERSION "${PROJECT_VERSION}") - -configure_file (project.pc.in geographiclib.pc @ONLY) -install (FILES - "${CMAKE_CURRENT_BINARY_DIR}/geographiclib.pc" - DESTINATION "lib${LIB_SUFFIX}/pkgconfig") diff --git a/libs/GeographicLib-1.50.1/cmake/FindGeographicLib.cmake b/libs/GeographicLib-1.50.1/cmake/FindGeographicLib.cmake deleted file mode 100644 index f32ef47706d3bfe5e780a95a9965101cd0dae175..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/cmake/FindGeographicLib.cmake +++ /dev/null @@ -1,40 +0,0 @@ -# Look for GeographicLib -# -# Set -# GeographicLib_FOUND = GEOGRAPHICLIB_FOUND = TRUE -# GeographicLib_INCLUDE_DIRS = /usr/local/include -# GeographicLib_LIBRARIES = /usr/local/lib/libGeographic.so -# GeographicLib_LIBRARY_DIRS = /usr/local/lib - -find_library (GeographicLib_LIBRARIES Geographic - PATHS "${CMAKE_INSTALL_PREFIX}/../GeographicLib/lib") - -if (GeographicLib_LIBRARIES) - get_filename_component (GeographicLib_LIBRARY_DIRS - "${GeographicLib_LIBRARIES}" PATH) - get_filename_component (_ROOT_DIR "${GeographicLib_LIBRARY_DIRS}" PATH) - set (GeographicLib_INCLUDE_DIRS "${_ROOT_DIR}/include") - set (GeographicLib_BINARY_DIRS "${_ROOT_DIR}/bin") - if (NOT EXISTS "${GeographicLib_INCLUDE_DIRS}/GeographicLib/Config.h") - # On Debian systems the library is in e.g., - # /usr/lib/x86_64-linux-gnu/libGeographic.so - # so try stripping another element off _ROOT_DIR - get_filename_component (_ROOT_DIR "${_ROOT_DIR}" PATH) - set (GeographicLib_INCLUDE_DIRS "${_ROOT_DIR}/include") - set (GeographicLib_BINARY_DIRS "${_ROOT_DIR}/bin") - if (NOT EXISTS "${GeographicLib_INCLUDE_DIRS}/GeographicLib/Config.h") - unset (GeographicLib_INCLUDE_DIRS) - unset (GeographicLib_LIBRARIES) - unset (GeographicLib_LIBRARY_DIRS) - unset (GeographicLib_BINARY_DIRS) - endif () - endif () - unset (_ROOT_DIR) -endif () - -include (FindPackageHandleStandardArgs) -find_package_handle_standard_args (GeographicLib DEFAULT_MSG - GeographicLib_LIBRARY_DIRS GeographicLib_LIBRARIES - GeographicLib_INCLUDE_DIRS) -mark_as_advanced (GeographicLib_LIBRARY_DIRS GeographicLib_LIBRARIES - GeographicLib_INCLUDE_DIRS) diff --git a/libs/GeographicLib-1.50.1/cmake/Makefile.am b/libs/GeographicLib-1.50.1/cmake/Makefile.am deleted file mode 100644 index 212e9f39328dfd872ea7adafa349be7c4e89f06e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/cmake/Makefile.am +++ /dev/null @@ -1,14 +0,0 @@ -# -# Makefile.am -# -# Copyright (C) 2011, Charles Karney - -cmakedir=$(datadir)/cmake/GeographicLib - -install: - $(INSTALL) -d $(DESTDIR)$(cmakedir) - $(INSTALL) -m 644 $(srcdir)/FindGeographicLib.cmake \ - $(DESTDIR)$(cmakedir) - -EXTRA_DIST = Makefile.mk CMakeLists.txt FindGeographicLib.cmake \ - project-config-version.cmake.in project-config.cmake.in diff --git a/libs/GeographicLib-1.50.1/cmake/Makefile.in b/libs/GeographicLib-1.50.1/cmake/Makefile.in deleted file mode 100644 index 06e1a46757741a4fc3acd5395b236fd53175f1eb..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/cmake/Makefile.in +++ /dev/null @@ -1,477 +0,0 @@ -# Makefile.in generated by automake 1.16.1 from Makefile.am. -# @configure_input@ - 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@: -install: - test -d $(DEST) || mkdir -p $(DEST) - $(INSTALL) -m 644 FindGeographicLib.cmake $(DEST) -clean: - @: - -.PHONY: all install clean diff --git a/libs/GeographicLib-1.50.1/cmake/project-config-version.cmake.in b/libs/GeographicLib-1.50.1/cmake/project-config-version.cmake.in deleted file mode 100644 index 782d07f7a60d0ffd784534946cdbe680193f1ce9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/cmake/project-config-version.cmake.in +++ /dev/null @@ -1,86 +0,0 @@ -# Version checking for @PROJECT_NAME@ - -set (PACKAGE_VERSION "@PROJECT_VERSION@") -set (PACKAGE_VERSION_MAJOR "@PROJECT_VERSION_MAJOR@") -set (PACKAGE_VERSION_MINOR "@PROJECT_VERSION_MINOR@") -set (PACKAGE_VERSION_PATCH "@PROJECT_VERSION_PATCH@") - -# These variable definitions parallel those in @PROJECT_NAME@'s -# cmake/CMakeLists.txt. -if (MSVC) - # For checking the compatibility of MSVC_TOOLSET_VERSION; see - # https://docs.microsoft.com/en-us/cpp/porting/overview-of-potential-upgrade-issues-visual-cpp - # Assume major version number is obtained by dropping the last decimal - # digit. - math (EXPR MSVC_TOOLSET_MAJOR "${MSVC_TOOLSET_VERSION}/10") -endif () -if (CMAKE_CROSSCOMPILING) - # Ensure that all "true" (resp. "false") settings are represented by - # the same string. - set (CMAKE_CROSSCOMPILING_STR "ON") -else () - set (CMAKE_CROSSCOMPILING_STR "OFF") -endif () - -if (NOT PACKAGE_FIND_NAME STREQUAL "@PROJECT_NAME@") - # Check package name (in particular, because of the way cmake finds - # package config files, the capitalization could easily be "wrong"). - # This is necessary to ensure that the automatically generated - # variables, e.g., _FOUND, are consistently spelled. - set (REASON "package = @PROJECT_NAME@, NOT ${PACKAGE_FIND_NAME}") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (NOT (APPLE OR (NOT DEFINED CMAKE_SIZEOF_VOID_P) OR - CMAKE_SIZEOF_VOID_P EQUAL @CMAKE_SIZEOF_VOID_P@)) - # Reject if there's a 32-bit/64-bit mismatch (not necessary with Apple - # since a multi-architecture library is built for that platform). - set (REASON "sizeof(*void) = @CMAKE_SIZEOF_VOID_P@") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (MSVC AND NOT ( - # toolset version must be at least as great as @PROJECT_NAME@'s - MSVC_TOOLSET_VERSION GREATER_EQUAL @MSVC_TOOLSET_VERSION@ - # and major versions must match - AND MSVC_TOOLSET_MAJOR EQUAL @MSVC_TOOLSET_MAJOR@ )) - # Reject if there's a mismatch in MSVC compiler versions - set (REASON "MSVC_TOOLSET_VERSION = @MSVC_TOOLSET_VERSION@") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (NOT CMAKE_CROSSCOMPILING_STR STREQUAL "@CMAKE_CROSSCOMPILING_STR@") - # Reject if there's a mismatch in ${CMAKE_CROSSCOMPILING} - set (REASON "cross-compiling = @CMAKE_CROSSCOMPILING@") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (CMAKE_CROSSCOMPILING AND - NOT (CMAKE_SYSTEM_NAME STREQUAL "@CMAKE_SYSTEM_NAME@" AND - CMAKE_SYSTEM_PROCESSOR STREQUAL "@CMAKE_SYSTEM_PROCESSOR@")) - # Reject if cross-compiling and there's a mismatch in the target system - set (REASON "target = @CMAKE_SYSTEM_NAME@-@CMAKE_SYSTEM_PROCESSOR@") - set (PACKAGE_VERSION_UNSUITABLE TRUE) -elseif (PACKAGE_FIND_VERSION) - if (PACKAGE_FIND_VERSION VERSION_EQUAL PACKAGE_VERSION) - set (PACKAGE_VERSION_EXACT TRUE) - elseif (PACKAGE_FIND_VERSION VERSION_LESS PACKAGE_VERSION - AND PACKAGE_FIND_VERSION_MAJOR EQUAL PACKAGE_VERSION_MAJOR) - set (PACKAGE_VERSION_COMPATIBLE TRUE) - endif () -endif () - -set (@PROJECT_NAME@_SHARED_FOUND @GEOGRAPHICLIB_SHARED_LIB@) -set (@PROJECT_NAME@_STATIC_FOUND @GEOGRAPHICLIB_STATIC_LIB@) -set (@PROJECT_NAME@_NETGeographicLib_FOUND @BUILD_NETGEOGRAPHICLIB@) - -# Check for the components requested. The convention is that -# @PROJECT_NAME@_${comp}_FOUND should be true for all the required -# components. -if (@PROJECT_NAME@_FIND_COMPONENTS) - foreach (comp ${@PROJECT_NAME@_FIND_COMPONENTS}) - if (@PROJECT_NAME@_FIND_REQUIRED_${comp} AND - NOT @PROJECT_NAME@_${comp}_FOUND) - set (REASON "without ${comp}") - set (PACKAGE_VERSION_UNSUITABLE TRUE) - endif () - endforeach () -endif () - -# If unsuitable, append the reason to the package version so that it's -# visible to the user. -if (PACKAGE_VERSION_UNSUITABLE) - set (PACKAGE_VERSION "${PACKAGE_VERSION} (${REASON})") -endif () diff --git a/libs/GeographicLib-1.50.1/cmake/project-config.cmake.in b/libs/GeographicLib-1.50.1/cmake/project-config.cmake.in deleted file mode 100644 index 67481bff5565ad44d37a1d7f48185021ea617366..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/cmake/project-config.cmake.in +++ /dev/null @@ -1,100 +0,0 @@ -# Configure @PROJECT_NAME@ -# -# Set -# @PROJECT_NAME@_FOUND = @PROJECT_NAME_UPPER@_FOUND = 1 -# @PROJECT_NAME@_INCLUDE_DIRS = /usr/local/include -# @PROJECT_NAME@_SHARED_LIBRARIES = GeographicLib_SHARED (or empty) -# @PROJECT_NAME@_STATIC_LIBRARIES = GeographicLib_STATIC (or empty) -# @PROJECT_NAME@_LIBRARY_DIRS = /usr/local/lib -# @PROJECT_NAME@_BINARY_DIRS = /usr/local/bin -# @PROJECT_NAME@_VERSION = 1.34 (for example) -# @PROJECT_NAME_UPPER@_DATA = /usr/local/share/GeographicLib (for example) -# Depending on @PROJECT_NAME@_USE_STATIC_LIBS -# @PROJECT_NAME@_LIBRARIES = ${@PROJECT_NAME@_SHARED_LIBRARIES}, if OFF -# @PROJECT_NAME@_LIBRARIES = ${@PROJECT_NAME@_STATIC_LIBRARIES}, if ON -# If only one of the libraries is provided, then -# @PROJECT_NAME@_USE_STATIC_LIBS is ignored. -# -# Since cmake 2.8.11 or later, there's no need to include -# include_directories (${GeographicLib_INCLUDE_DIRS}) -# The variables are retained for information. -# -# The following variables are only relevant if the library has been -# compiled with a default precision different from double: -# @PROJECT_NAME_UPPER@_PRECISION = the precision of the library (usually 2) -# @PROJECT_NAME@_HIGHPREC_LIBRARIES = the libraries need for high precision - -message (STATUS "Reading ${CMAKE_CURRENT_LIST_FILE}") -# @PROJECT_NAME@_VERSION is set by version file -message (STATUS - "@PROJECT_NAME@ configuration, version ${@PROJECT_NAME@_VERSION}") - -# Tell the user project where to find our headers and libraries -get_filename_component (_DIR ${CMAKE_CURRENT_LIST_FILE} PATH) -if (IS_ABSOLUTE "@PROJECT_ROOT_DIR@") - # This is an uninstalled package (still in the build tree) - set (_ROOT "@PROJECT_ROOT_DIR@") - set (@PROJECT_NAME@_INCLUDE_DIRS "@PROJECT_INCLUDE_DIRS@") - set (@PROJECT_NAME@_LIBRARY_DIRS "${_ROOT}/src") - set (@PROJECT_NAME@_BINARY_DIRS "${_ROOT}/tools") -else () - # This is an installed package; figure out the paths relative to the - # current directory. - get_filename_component (_ROOT "${_DIR}/@PROJECT_ROOT_DIR@" ABSOLUTE) - set (@PROJECT_NAME@_INCLUDE_DIRS "${_ROOT}/include") - set (@PROJECT_NAME@_LIBRARY_DIRS "${_ROOT}/lib@LIB_SUFFIX@") - set (@PROJECT_NAME@_BINARY_DIRS "${_ROOT}/bin") -endif () -set (@PROJECT_NAME_UPPER@_DATA "@GEOGRAPHICLIB_DATA@") -set (@PROJECT_NAME_UPPER@_PRECISION @GEOGRAPHICLIB_PRECISION@) -set (@PROJECT_NAME@_HIGHPREC_LIBRARIES "@HIGHPREC_LIBRARIES@") - -set (@PROJECT_NAME@_SHARED_LIBRARIES @PROJECT_SHARED_LIBRARIES@) -set (@PROJECT_NAME@_STATIC_LIBRARIES @PROJECT_STATIC_LIBRARIES@) -# Read in the exported definition of the library -include ("${_DIR}/@PROJECT_NAME_LOWER@-targets.cmake") -include ("${_DIR}/@PROJECT_NAME_LOWER@-namespace-targets.cmake") - -# For interoperability with older installations of GeographicLib and -# with packages which depend on GeographicLib, @PROJECT_NAME@_LIBRARIES -# etc. still point to the non-namespace variables. Tentatively plan to -# transition to namespace variables as follows: -# -# * namespace targets were introduced with version 1.47 (2017-02-15) -# * switch @PROJECT_NAME@_LIBRARIES to point to namespace variable after -# 2020-02 -# * remove non-namespace variables after 2023-02 - -unset (_ROOT) -unset (_DIR) - -if ((NOT @PROJECT_NAME@_SHARED_LIBRARIES) OR - (@PROJECT_NAME@_USE_STATIC_LIBS AND @PROJECT_NAME@_STATIC_LIBRARIES)) - set (@PROJECT_NAME@_LIBRARIES ${@PROJECT_NAME@_STATIC_LIBRARIES}) - message (STATUS " \${@PROJECT_NAME@_LIBRARIES} set to static library") -else () - set (@PROJECT_NAME@_LIBRARIES ${@PROJECT_NAME@_SHARED_LIBRARIES}) - message (STATUS " \${@PROJECT_NAME@_LIBRARIES} set to shared library") -endif () - -set (@PROJECT_NAME@_NETGeographicLib_LIBRARIES @NETGEOGRAPHICLIB_LIBRARIES@) - -# Check for the components requested. This only supports components -# STATIC, SHARED, and NETGeographicLib by checking the value of -# @PROJECT_NAME@_${comp}_LIBRARIES. No need to check if the component -# is required or not--the version file took care of that. -# @PROJECT_NAME@_${comp}_FOUND is set appropriately for each component. -if (@PROJECT_NAME@_FIND_COMPONENTS) - foreach (comp ${@PROJECT_NAME@_FIND_COMPONENTS}) - if (@PROJECT_NAME@_${comp}_LIBRARIES) - set (@PROJECT_NAME@_${comp}_FOUND 1) - message (STATUS "@PROJECT_NAME@ component ${comp} found") - else () - set (@PROJECT_NAME@_${comp}_FOUND 0) - message (WARNING "@PROJECT_NAME@ component ${comp} not found") - endif () - endforeach () -endif () - -# @PROJECT_NAME@_FOUND is set to 1 automatically -set (@PROJECT_NAME_UPPER@_FOUND 1) # for backwards compatibility diff --git a/libs/GeographicLib-1.50.1/cmake/project.pc.in b/libs/GeographicLib-1.50.1/cmake/project.pc.in deleted file mode 100644 index db1bc9cd73f884c8db47fbc8c9e0c9625af7df7e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/cmake/project.pc.in +++ /dev/null @@ -1,14 +0,0 @@ -prefix=@prefix@ -exec_prefix=@exec_prefix@ -libdir=@libdir@ -includedir=@includedir@ -bindir=@bindir@ - -Name: @PACKAGE_NAME@ -Description: A library for geographic projections -Version: @PACKAGE_VERSION@ -URL: https://geographiclib.sourceforge.io - -Requires: -Libs: -L${libdir} -lGeographic -Cflags: -I${includedir} diff --git a/libs/GeographicLib-1.50.1/compile b/libs/GeographicLib-1.50.1/compile deleted file mode 100755 index 99e50524b3bade179355469777b4d664bcd5c964..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/compile +++ /dev/null @@ -1,348 +0,0 @@ -#! /bin/sh -# Wrapper for compilers which do not understand '-c -o'. - -scriptversion=2018-03-07.03; # UTC - -# Copyright (C) 1999-2018 Free Software Foundation, Inc. -# Written by Tom Tromey . -# -# This program is free software; you can redistribute it and/or modify -# it under the terms of the GNU General Public License as published by -# the Free Software Foundation; either version 2, or (at your option) -# any later version. -# -# This program is distributed in the hope that it will be useful, -# but WITHOUT ANY WARRANTY; without even the implied warranty of -# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -# GNU General Public License for more details. -# -# You should have received a copy of the GNU General Public License -# along with this program. If not, see . - -# As a special exception to the GNU General Public License, if you -# distribute this file as part of a program that contains a -# configuration script generated by Autoconf, you may include it under -# the same distribution terms that you use for the rest of that program. - -# This file is maintained in Automake, please report -# bugs to or send patches to -# . - -nl=' -' - -# We need space, tab and new line, in precisely that order. Quoting is -# there to prevent tools from complaining about whitespace usage. -IFS=" "" $nl" - -file_conv= - -# func_file_conv build_file lazy -# Convert a $build file to $host form and store it in $file -# Currently only supports Windows hosts. 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See the GNU -# General Public License for more details. -# -# You should have received a copy of the GNU General Public License -# along with this program; if not, see . -# -# As a special exception to the GNU General Public License, if you -# distribute this file as part of a program that contains a -# configuration script generated by Autoconf, you may include it under -# the same distribution terms that you use for the rest of that -# program. 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The machine name - # can be virtually everything (everything which is not - # "atarist" or "atariste" at least should have a processor - # > m68000). The system name ranges from "MiNT" over "FreeMiNT" - # to the lowercase version "mint" (or "freemint"). Finally - # the system name "TOS" denotes a system which is actually not - # MiNT. But MiNT is downward compatible to TOS, so this should - # be no problem. - atarist[e]:*MiNT:*:* | atarist[e]:*mint:*:* | atarist[e]:*TOS:*:*) - echo m68k-atari-mint"$UNAME_RELEASE" - exit ;; - atari*:*MiNT:*:* | atari*:*mint:*:* | atarist[e]:*TOS:*:*) - echo m68k-atari-mint"$UNAME_RELEASE" - exit ;; - *falcon*:*MiNT:*:* | *falcon*:*mint:*:* | *falcon*:*TOS:*:*) - echo m68k-atari-mint"$UNAME_RELEASE" - exit ;; - milan*:*MiNT:*:* | milan*:*mint:*:* | *milan*:*TOS:*:*) - echo m68k-milan-mint"$UNAME_RELEASE" - exit ;; - hades*:*MiNT:*:* | hades*:*mint:*:* | *hades*:*TOS:*:*) - echo m68k-hades-mint"$UNAME_RELEASE" - exit ;; - *:*MiNT:*:* | *:*mint:*:* | *:*TOS:*:*) - echo m68k-unknown-mint"$UNAME_RELEASE" - exit ;; - m68k:machten:*:*) - echo m68k-apple-machten"$UNAME_RELEASE" - exit ;; - powerpc:machten:*:*) - echo powerpc-apple-machten"$UNAME_RELEASE" - exit ;; - RISC*:Mach:*:*) - echo mips-dec-mach_bsd4.3 - exit ;; - RISC*:ULTRIX:*:*) - echo mips-dec-ultrix"$UNAME_RELEASE" - exit ;; - VAX*:ULTRIX*:*:*) - echo vax-dec-ultrix"$UNAME_RELEASE" - exit ;; - 2020:CLIX:*:* | 2430:CLIX:*:*) - echo clipper-intergraph-clix"$UNAME_RELEASE" - exit ;; - mips:*:*:UMIPS | mips:*:*:RISCos) - set_cc_for_build - sed 's/^ //' << EOF > "$dummy.c" -#ifdef __cplusplus -#include /* for printf() prototype */ - int main (int argc, char *argv[]) { -#else - int main (argc, argv) int argc; char *argv[]; { -#endif - #if defined (host_mips) && defined (MIPSEB) - #if defined (SYSTYPE_SYSV) - printf ("mips-mips-riscos%ssysv\\n", argv[1]); exit (0); - #endif - #if defined (SYSTYPE_SVR4) - printf ("mips-mips-riscos%ssvr4\\n", argv[1]); exit (0); - #endif - #if defined (SYSTYPE_BSD43) || defined(SYSTYPE_BSD) - printf ("mips-mips-riscos%sbsd\\n", argv[1]); exit (0); - #endif - #endif - exit (-1); - } -EOF - $CC_FOR_BUILD -o "$dummy" "$dummy.c" && - dummyarg=`echo "$UNAME_RELEASE" | sed -n 's/\([0-9]*\).*/\1/p'` && - SYSTEM_NAME=`"$dummy" "$dummyarg"` && - { echo "$SYSTEM_NAME"; exit; } - echo mips-mips-riscos"$UNAME_RELEASE" - exit ;; - Motorola:PowerMAX_OS:*:*) - echo powerpc-motorola-powermax - exit ;; - Motorola:*:4.3:PL8-*) - echo powerpc-harris-powermax - exit ;; - Night_Hawk:*:*:PowerMAX_OS | Synergy:PowerMAX_OS:*:*) - echo powerpc-harris-powermax - exit ;; - Night_Hawk:Power_UNIX:*:*) - echo powerpc-harris-powerunix - exit ;; - m88k:CX/UX:7*:*) - echo m88k-harris-cxux7 - exit ;; - m88k:*:4*:R4*) - echo m88k-motorola-sysv4 - exit ;; - m88k:*:3*:R3*) - echo m88k-motorola-sysv3 - exit ;; - AViiON:dgux:*:*) - # DG/UX returns AViiON for all architectures - UNAME_PROCESSOR=`/usr/bin/uname -p` - if [ "$UNAME_PROCESSOR" = mc88100 ] || [ "$UNAME_PROCESSOR" = mc88110 ] - then - if [ "$TARGET_BINARY_INTERFACE"x = m88kdguxelfx ] || \ - [ "$TARGET_BINARY_INTERFACE"x = x ] - then - echo m88k-dg-dgux"$UNAME_RELEASE" - else - echo m88k-dg-dguxbcs"$UNAME_RELEASE" - fi - else - echo i586-dg-dgux"$UNAME_RELEASE" - fi - exit ;; - M88*:DolphinOS:*:*) # DolphinOS (SVR3) - echo m88k-dolphin-sysv3 - exit ;; - M88*:*:R3*:*) - # Delta 88k system running SVR3 - echo m88k-motorola-sysv3 - exit ;; - XD88*:*:*:*) # Tektronix XD88 system running UTekV (SVR3) - echo m88k-tektronix-sysv3 - exit ;; - Tek43[0-9][0-9]:UTek:*:*) # Tektronix 4300 system running UTek (BSD) - echo m68k-tektronix-bsd - exit ;; - *:IRIX*:*:*) - echo mips-sgi-irix"`echo "$UNAME_RELEASE"|sed -e 's/-/_/g'`" - exit ;; - ????????:AIX?:[12].1:2) # AIX 2.2.1 or AIX 2.1.1 is RT/PC AIX. - echo romp-ibm-aix # uname -m gives an 8 hex-code CPU id - exit ;; # Note that: echo "'`uname -s`'" gives 'AIX ' - i*86:AIX:*:*) - echo i386-ibm-aix - exit ;; - ia64:AIX:*:*) - if [ -x /usr/bin/oslevel ] ; then - IBM_REV=`/usr/bin/oslevel` - else - IBM_REV="$UNAME_VERSION.$UNAME_RELEASE" - fi - echo "$UNAME_MACHINE"-ibm-aix"$IBM_REV" - exit ;; - *:AIX:2:3) - if grep bos325 /usr/include/stdio.h >/dev/null 2>&1; then - set_cc_for_build - sed 's/^ //' << EOF > "$dummy.c" - #include - - main() - { - if (!__power_pc()) - exit(1); - puts("powerpc-ibm-aix3.2.5"); - exit(0); - } -EOF - if $CC_FOR_BUILD -o "$dummy" "$dummy.c" && SYSTEM_NAME=`"$dummy"` - then - echo "$SYSTEM_NAME" - else - echo rs6000-ibm-aix3.2.5 - fi - elif grep bos324 /usr/include/stdio.h >/dev/null 2>&1; then - echo rs6000-ibm-aix3.2.4 - else - echo rs6000-ibm-aix3.2 - fi - exit ;; - *:AIX:*:[4567]) - IBM_CPU_ID=`/usr/sbin/lsdev -C -c processor -S available | sed 1q | awk '{ print $1 }'` - if /usr/sbin/lsattr -El "$IBM_CPU_ID" | grep ' POWER' >/dev/null 2>&1; then - IBM_ARCH=rs6000 - else - IBM_ARCH=powerpc - fi - if [ -x /usr/bin/lslpp ] ; then - IBM_REV=`/usr/bin/lslpp -Lqc bos.rte.libc | - awk -F: '{ print $3 }' | sed s/[0-9]*$/0/` - else - IBM_REV="$UNAME_VERSION.$UNAME_RELEASE" - fi - echo "$IBM_ARCH"-ibm-aix"$IBM_REV" - exit ;; - *:AIX:*:*) - echo rs6000-ibm-aix - exit ;; - ibmrt:4.4BSD:*|romp-ibm:4.4BSD:*) - echo romp-ibm-bsd4.4 - exit ;; - ibmrt:*BSD:*|romp-ibm:BSD:*) # covers RT/PC BSD and - echo romp-ibm-bsd"$UNAME_RELEASE" # 4.3 with uname added to - exit ;; # report: romp-ibm BSD 4.3 - *:BOSX:*:*) - echo rs6000-bull-bosx - exit ;; - DPX/2?00:B.O.S.:*:*) - echo m68k-bull-sysv3 - exit ;; - 9000/[34]??:4.3bsd:1.*:*) - echo m68k-hp-bsd - exit ;; - hp300:4.4BSD:*:* | 9000/[34]??:4.3bsd:2.*:*) - echo m68k-hp-bsd4.4 - exit ;; - 9000/[34678]??:HP-UX:*:*) - HPUX_REV=`echo "$UNAME_RELEASE"|sed -e 's/[^.]*.[0B]*//'` - case "$UNAME_MACHINE" in - 9000/31?) HP_ARCH=m68000 ;; - 9000/[34]??) HP_ARCH=m68k ;; - 9000/[678][0-9][0-9]) - if [ -x /usr/bin/getconf ]; then - sc_cpu_version=`/usr/bin/getconf SC_CPU_VERSION 2>/dev/null` - sc_kernel_bits=`/usr/bin/getconf SC_KERNEL_BITS 2>/dev/null` - case "$sc_cpu_version" in - 523) HP_ARCH=hppa1.0 ;; # CPU_PA_RISC1_0 - 528) HP_ARCH=hppa1.1 ;; # CPU_PA_RISC1_1 - 532) # CPU_PA_RISC2_0 - case "$sc_kernel_bits" in - 32) HP_ARCH=hppa2.0n ;; - 64) HP_ARCH=hppa2.0w ;; - '') HP_ARCH=hppa2.0 ;; # HP-UX 10.20 - esac ;; - esac - fi - if [ "$HP_ARCH" = "" ]; then - set_cc_for_build - sed 's/^ //' << EOF > "$dummy.c" - - #define _HPUX_SOURCE - #include - #include - - int main () - { - #if defined(_SC_KERNEL_BITS) - long bits = sysconf(_SC_KERNEL_BITS); - #endif - long cpu = sysconf (_SC_CPU_VERSION); - - switch (cpu) - { - case CPU_PA_RISC1_0: puts ("hppa1.0"); break; - case CPU_PA_RISC1_1: puts ("hppa1.1"); break; - case CPU_PA_RISC2_0: - #if defined(_SC_KERNEL_BITS) - switch (bits) - { - case 64: puts ("hppa2.0w"); break; - case 32: puts ("hppa2.0n"); break; - default: puts ("hppa2.0"); break; - } break; - #else /* !defined(_SC_KERNEL_BITS) */ - puts ("hppa2.0"); break; - #endif - default: puts ("hppa1.0"); break; - } - exit (0); - } -EOF - (CCOPTS="" $CC_FOR_BUILD -o "$dummy" "$dummy.c" 2>/dev/null) && HP_ARCH=`"$dummy"` - test -z "$HP_ARCH" && HP_ARCH=hppa - fi ;; - esac - if [ "$HP_ARCH" = hppa2.0w ] - then - set_cc_for_build - - # hppa2.0w-hp-hpux* has a 64-bit kernel and a compiler generating - # 32-bit code. hppa64-hp-hpux* has the same kernel and a compiler - # generating 64-bit code. GNU and HP use different nomenclature: - # - # $ CC_FOR_BUILD=cc ./config.guess - # => hppa2.0w-hp-hpux11.23 - # $ CC_FOR_BUILD="cc +DA2.0w" ./config.guess - # => hppa64-hp-hpux11.23 - - if echo __LP64__ | (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | - grep -q __LP64__ - then - HP_ARCH=hppa2.0w - else - HP_ARCH=hppa64 - fi - fi - echo "$HP_ARCH"-hp-hpux"$HPUX_REV" - exit ;; - ia64:HP-UX:*:*) - HPUX_REV=`echo "$UNAME_RELEASE"|sed -e 's/[^.]*.[0B]*//'` - echo ia64-hp-hpux"$HPUX_REV" - exit ;; - 3050*:HI-UX:*:*) - set_cc_for_build - sed 's/^ //' << EOF > "$dummy.c" - #include - int - main () - { - long cpu = sysconf (_SC_CPU_VERSION); - /* The order matters, because CPU_IS_HP_MC68K erroneously returns - true for CPU_PA_RISC1_0. CPU_IS_PA_RISC returns correct - results, however. */ - if (CPU_IS_PA_RISC (cpu)) - { - switch (cpu) - { - case CPU_PA_RISC1_0: puts ("hppa1.0-hitachi-hiuxwe2"); break; - case CPU_PA_RISC1_1: puts ("hppa1.1-hitachi-hiuxwe2"); break; - case CPU_PA_RISC2_0: puts ("hppa2.0-hitachi-hiuxwe2"); break; - default: puts ("hppa-hitachi-hiuxwe2"); break; - } - } - else if (CPU_IS_HP_MC68K (cpu)) - puts ("m68k-hitachi-hiuxwe2"); - else puts ("unknown-hitachi-hiuxwe2"); - exit (0); - } -EOF - $CC_FOR_BUILD -o "$dummy" "$dummy.c" && SYSTEM_NAME=`"$dummy"` && - { echo "$SYSTEM_NAME"; exit; } - echo unknown-hitachi-hiuxwe2 - exit ;; - 9000/7??:4.3bsd:*:* | 9000/8?[79]:4.3bsd:*:*) - echo hppa1.1-hp-bsd - exit ;; - 9000/8??:4.3bsd:*:*) - echo hppa1.0-hp-bsd - exit ;; - *9??*:MPE/iX:*:* | *3000*:MPE/iX:*:*) - echo hppa1.0-hp-mpeix - exit ;; - hp7??:OSF1:*:* | hp8?[79]:OSF1:*:*) - echo hppa1.1-hp-osf - exit ;; - hp8??:OSF1:*:*) - echo hppa1.0-hp-osf - exit ;; - i*86:OSF1:*:*) - if [ -x /usr/sbin/sysversion ] ; then - echo "$UNAME_MACHINE"-unknown-osf1mk - else - echo "$UNAME_MACHINE"-unknown-osf1 - fi - exit ;; - parisc*:Lites*:*:*) - echo hppa1.1-hp-lites - exit ;; - C1*:ConvexOS:*:* | convex:ConvexOS:C1*:*) - echo c1-convex-bsd - exit ;; - C2*:ConvexOS:*:* | convex:ConvexOS:C2*:*) - if getsysinfo -f scalar_acc - then echo c32-convex-bsd - else echo c2-convex-bsd - fi - exit ;; - C34*:ConvexOS:*:* | convex:ConvexOS:C34*:*) - echo c34-convex-bsd - exit ;; - C38*:ConvexOS:*:* | convex:ConvexOS:C38*:*) - echo c38-convex-bsd - exit ;; - C4*:ConvexOS:*:* | convex:ConvexOS:C4*:*) - echo c4-convex-bsd - exit ;; - CRAY*Y-MP:*:*:*) - echo ymp-cray-unicos"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/' - exit ;; - CRAY*[A-Z]90:*:*:*) - echo "$UNAME_MACHINE"-cray-unicos"$UNAME_RELEASE" \ - | sed -e 's/CRAY.*\([A-Z]90\)/\1/' \ - -e y/ABCDEFGHIJKLMNOPQRSTUVWXYZ/abcdefghijklmnopqrstuvwxyz/ \ - -e 's/\.[^.]*$/.X/' - exit ;; - CRAY*TS:*:*:*) - echo t90-cray-unicos"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/' - exit ;; - CRAY*T3E:*:*:*) - echo alphaev5-cray-unicosmk"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/' - exit ;; - CRAY*SV1:*:*:*) - echo sv1-cray-unicos"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/' - exit ;; - *:UNICOS/mp:*:*) - echo craynv-cray-unicosmp"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/' - exit ;; - F30[01]:UNIX_System_V:*:* | F700:UNIX_System_V:*:*) - FUJITSU_PROC=`uname -m | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz` - FUJITSU_SYS=`uname -p | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/\///'` - FUJITSU_REL=`echo "$UNAME_RELEASE" | sed -e 's/ /_/'` - echo "${FUJITSU_PROC}-fujitsu-${FUJITSU_SYS}${FUJITSU_REL}" - exit ;; - 5000:UNIX_System_V:4.*:*) - FUJITSU_SYS=`uname -p | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/\///'` - FUJITSU_REL=`echo "$UNAME_RELEASE" | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/ /_/'` - echo "sparc-fujitsu-${FUJITSU_SYS}${FUJITSU_REL}" - exit ;; - i*86:BSD/386:*:* | i*86:BSD/OS:*:* | *:Ascend\ Embedded/OS:*:*) - echo "$UNAME_MACHINE"-pc-bsdi"$UNAME_RELEASE" - exit ;; - sparc*:BSD/OS:*:*) - echo sparc-unknown-bsdi"$UNAME_RELEASE" - exit ;; - *:BSD/OS:*:*) - echo "$UNAME_MACHINE"-unknown-bsdi"$UNAME_RELEASE" - exit ;; - arm:FreeBSD:*:*) - UNAME_PROCESSOR=`uname -p` - set_cc_for_build - if echo __ARM_PCS_VFP | $CC_FOR_BUILD -E - 2>/dev/null \ - | grep -q __ARM_PCS_VFP - then - echo "${UNAME_PROCESSOR}"-unknown-freebsd"`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'`"-gnueabi - else - echo "${UNAME_PROCESSOR}"-unknown-freebsd"`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'`"-gnueabihf - fi - exit ;; - *:FreeBSD:*:*) - UNAME_PROCESSOR=`/usr/bin/uname -p` - case "$UNAME_PROCESSOR" in - amd64) - UNAME_PROCESSOR=x86_64 ;; - i386) - UNAME_PROCESSOR=i586 ;; - esac - echo "$UNAME_PROCESSOR"-unknown-freebsd"`echo "$UNAME_RELEASE"|sed -e 's/[-(].*//'`" - exit ;; - i*:CYGWIN*:*) - echo "$UNAME_MACHINE"-pc-cygwin - exit ;; - *:MINGW64*:*) - echo "$UNAME_MACHINE"-pc-mingw64 - exit ;; - *:MINGW*:*) - echo "$UNAME_MACHINE"-pc-mingw32 - exit ;; - *:MSYS*:*) - echo "$UNAME_MACHINE"-pc-msys - exit ;; - i*:PW*:*) - echo "$UNAME_MACHINE"-pc-pw32 - exit ;; - *:Interix*:*) - case "$UNAME_MACHINE" in - x86) - echo i586-pc-interix"$UNAME_RELEASE" - exit ;; - authenticamd | genuineintel | EM64T) - echo x86_64-unknown-interix"$UNAME_RELEASE" - exit ;; - IA64) - echo ia64-unknown-interix"$UNAME_RELEASE" - exit ;; - esac ;; - i*:UWIN*:*) - echo "$UNAME_MACHINE"-pc-uwin - exit ;; - amd64:CYGWIN*:*:* | x86_64:CYGWIN*:*:*) - echo x86_64-unknown-cygwin - exit ;; - prep*:SunOS:5.*:*) - echo powerpcle-unknown-solaris2"`echo "$UNAME_RELEASE"|sed -e 's/[^.]*//'`" - exit ;; - *:GNU:*:*) - # the GNU system - echo "`echo "$UNAME_MACHINE"|sed -e 's,[-/].*$,,'`-unknown-$LIBC`echo "$UNAME_RELEASE"|sed -e 's,/.*$,,'`" - exit ;; - *:GNU/*:*:*) - # other systems with GNU libc and userland - echo "$UNAME_MACHINE-unknown-`echo "$UNAME_SYSTEM" | sed 's,^[^/]*/,,' | tr "[:upper:]" "[:lower:]"``echo "$UNAME_RELEASE"|sed -e 's/[-(].*//'`-$LIBC" - exit ;; - *:Minix:*:*) - echo "$UNAME_MACHINE"-unknown-minix - exit ;; - aarch64:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - aarch64_be:Linux:*:*) - UNAME_MACHINE=aarch64_be - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - alpha:Linux:*:*) - case `sed -n '/^cpu model/s/^.*: \(.*\)/\1/p' < /proc/cpuinfo` in - EV5) UNAME_MACHINE=alphaev5 ;; - EV56) UNAME_MACHINE=alphaev56 ;; - PCA56) UNAME_MACHINE=alphapca56 ;; - PCA57) UNAME_MACHINE=alphapca56 ;; - EV6) UNAME_MACHINE=alphaev6 ;; - EV67) UNAME_MACHINE=alphaev67 ;; - EV68*) UNAME_MACHINE=alphaev68 ;; - esac - objdump --private-headers /bin/sh | grep -q ld.so.1 - if test "$?" = 0 ; then LIBC=gnulibc1 ; fi - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - arc:Linux:*:* | arceb:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - arm*:Linux:*:*) - set_cc_for_build - if echo __ARM_EABI__ | $CC_FOR_BUILD -E - 2>/dev/null \ - | grep -q __ARM_EABI__ - then - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - else - if echo __ARM_PCS_VFP | $CC_FOR_BUILD -E - 2>/dev/null \ - | grep -q __ARM_PCS_VFP - then - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"eabi - else - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"eabihf - fi - fi - exit ;; - avr32*:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - cris:Linux:*:*) - echo "$UNAME_MACHINE"-axis-linux-"$LIBC" - exit ;; - crisv32:Linux:*:*) - echo "$UNAME_MACHINE"-axis-linux-"$LIBC" - exit ;; - e2k:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - frv:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - hexagon:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - i*86:Linux:*:*) - echo "$UNAME_MACHINE"-pc-linux-"$LIBC" - exit ;; - ia64:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - k1om:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - m32r*:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - m68*:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - mips:Linux:*:* | mips64:Linux:*:*) - set_cc_for_build - sed 's/^ //' << EOF > "$dummy.c" - #undef CPU - #undef ${UNAME_MACHINE} - #undef ${UNAME_MACHINE}el - #if defined(__MIPSEL__) || defined(__MIPSEL) || defined(_MIPSEL) || defined(MIPSEL) - CPU=${UNAME_MACHINE}el - #else - #if defined(__MIPSEB__) || defined(__MIPSEB) || defined(_MIPSEB) || defined(MIPSEB) - CPU=${UNAME_MACHINE} - #else - CPU= - #endif - #endif -EOF - eval "`$CC_FOR_BUILD -E "$dummy.c" 2>/dev/null | grep '^CPU'`" - test "x$CPU" != x && { echo "$CPU-unknown-linux-$LIBC"; exit; } - ;; - mips64el:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - openrisc*:Linux:*:*) - echo or1k-unknown-linux-"$LIBC" - exit ;; - or32:Linux:*:* | or1k*:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - padre:Linux:*:*) - echo sparc-unknown-linux-"$LIBC" - exit ;; - parisc64:Linux:*:* | hppa64:Linux:*:*) - echo hppa64-unknown-linux-"$LIBC" - exit ;; - parisc:Linux:*:* | hppa:Linux:*:*) - # Look for CPU level - case `grep '^cpu[^a-z]*:' /proc/cpuinfo 2>/dev/null | cut -d' ' -f2` in - PA7*) echo hppa1.1-unknown-linux-"$LIBC" ;; - PA8*) echo hppa2.0-unknown-linux-"$LIBC" ;; - *) echo hppa-unknown-linux-"$LIBC" ;; - esac - exit ;; - ppc64:Linux:*:*) - echo powerpc64-unknown-linux-"$LIBC" - exit ;; - ppc:Linux:*:*) - echo powerpc-unknown-linux-"$LIBC" - exit ;; - ppc64le:Linux:*:*) - echo powerpc64le-unknown-linux-"$LIBC" - exit ;; - ppcle:Linux:*:*) - echo powerpcle-unknown-linux-"$LIBC" - exit ;; - riscv32:Linux:*:* | riscv64:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - s390:Linux:*:* | s390x:Linux:*:*) - echo "$UNAME_MACHINE"-ibm-linux-"$LIBC" - exit ;; - sh64*:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - sh*:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - sparc:Linux:*:* | sparc64:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - tile*:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - vax:Linux:*:*) - echo "$UNAME_MACHINE"-dec-linux-"$LIBC" - exit ;; - x86_64:Linux:*:*) - echo "$UNAME_MACHINE"-pc-linux-"$LIBC" - exit ;; - xtensa*:Linux:*:*) - echo "$UNAME_MACHINE"-unknown-linux-"$LIBC" - exit ;; - i*86:DYNIX/ptx:4*:*) - # ptx 4.0 does uname -s correctly, with DYNIX/ptx in there. - # earlier versions are messed up and put the nodename in both - # sysname and nodename. - echo i386-sequent-sysv4 - exit ;; - i*86:UNIX_SV:4.2MP:2.*) - # Unixware is an offshoot of SVR4, but it has its own version - # number series starting with 2... - # I am not positive that other SVR4 systems won't match this, - # I just have to hope. -- rms. - # Use sysv4.2uw... so that sysv4* matches it. - echo "$UNAME_MACHINE"-pc-sysv4.2uw"$UNAME_VERSION" - exit ;; - i*86:OS/2:*:*) - # If we were able to find `uname', then EMX Unix compatibility - # is probably installed. - echo "$UNAME_MACHINE"-pc-os2-emx - exit ;; - i*86:XTS-300:*:STOP) - echo "$UNAME_MACHINE"-unknown-stop - exit ;; - i*86:atheos:*:*) - echo "$UNAME_MACHINE"-unknown-atheos - exit ;; - i*86:syllable:*:*) - echo "$UNAME_MACHINE"-pc-syllable - exit ;; - i*86:LynxOS:2.*:* | i*86:LynxOS:3.[01]*:* | i*86:LynxOS:4.[02]*:*) - echo i386-unknown-lynxos"$UNAME_RELEASE" - exit ;; - i*86:*DOS:*:*) - echo "$UNAME_MACHINE"-pc-msdosdjgpp - exit ;; - i*86:*:4.*:*) - UNAME_REL=`echo "$UNAME_RELEASE" | sed 's/\/MP$//'` - if grep Novell /usr/include/link.h >/dev/null 2>/dev/null; then - echo "$UNAME_MACHINE"-univel-sysv"$UNAME_REL" - else - echo "$UNAME_MACHINE"-pc-sysv"$UNAME_REL" - fi - exit ;; - i*86:*:5:[678]*) - # UnixWare 7.x, OpenUNIX and OpenServer 6. - case `/bin/uname -X | grep "^Machine"` in - *486*) UNAME_MACHINE=i486 ;; - *Pentium) UNAME_MACHINE=i586 ;; - *Pent*|*Celeron) UNAME_MACHINE=i686 ;; - esac - echo "$UNAME_MACHINE-unknown-sysv${UNAME_RELEASE}${UNAME_SYSTEM}{$UNAME_VERSION}" - exit ;; - i*86:*:3.2:*) - if test -f /usr/options/cb.name; then - UNAME_REL=`sed -n 's/.*Version //p' /dev/null >/dev/null ; then - UNAME_REL=`(/bin/uname -X|grep Release|sed -e 's/.*= //')` - (/bin/uname -X|grep i80486 >/dev/null) && UNAME_MACHINE=i486 - (/bin/uname -X|grep '^Machine.*Pentium' >/dev/null) \ - && UNAME_MACHINE=i586 - (/bin/uname -X|grep '^Machine.*Pent *II' >/dev/null) \ - && UNAME_MACHINE=i686 - (/bin/uname -X|grep '^Machine.*Pentium Pro' >/dev/null) \ - && UNAME_MACHINE=i686 - echo "$UNAME_MACHINE"-pc-sco"$UNAME_REL" - else - echo "$UNAME_MACHINE"-pc-sysv32 - fi - exit ;; - pc:*:*:*) - # Left here for compatibility: - # uname -m prints for DJGPP always 'pc', but it prints nothing about - # the processor, so we play safe by assuming i586. - # Note: whatever this is, it MUST be the same as what config.sub - # prints for the "djgpp" host, or else GDB configure will decide that - # this is a cross-build. - echo i586-pc-msdosdjgpp - exit ;; - Intel:Mach:3*:*) - echo i386-pc-mach3 - exit ;; - paragon:*:*:*) - echo i860-intel-osf1 - exit ;; - i860:*:4.*:*) # i860-SVR4 - if grep Stardent /usr/include/sys/uadmin.h >/dev/null 2>&1 ; then - echo i860-stardent-sysv"$UNAME_RELEASE" # Stardent Vistra i860-SVR4 - else # Add other i860-SVR4 vendors below as they are discovered. - echo i860-unknown-sysv"$UNAME_RELEASE" # Unknown i860-SVR4 - fi - exit ;; - mini*:CTIX:SYS*5:*) - # "miniframe" - echo m68010-convergent-sysv - exit ;; - mc68k:UNIX:SYSTEM5:3.51m) - echo m68k-convergent-sysv - exit ;; - M680?0:D-NIX:5.3:*) - echo m68k-diab-dnix - exit ;; - M68*:*:R3V[5678]*:*) - test -r /sysV68 && { echo 'm68k-motorola-sysv'; exit; } ;; - 3[345]??:*:4.0:3.0 | 3[34]??A:*:4.0:3.0 | 3[34]??,*:*:4.0:3.0 | 3[34]??/*:*:4.0:3.0 | 4400:*:4.0:3.0 | 4850:*:4.0:3.0 | SKA40:*:4.0:3.0 | SDS2:*:4.0:3.0 | SHG2:*:4.0:3.0 | S7501*:*:4.0:3.0) - OS_REL='' - test -r /etc/.relid \ - && OS_REL=.`sed -n 's/[^ ]* [^ ]* \([0-9][0-9]\).*/\1/p' < /etc/.relid` - /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ - && { echo i486-ncr-sysv4.3"$OS_REL"; exit; } - /bin/uname -p 2>/dev/null | /bin/grep entium >/dev/null \ - && { echo i586-ncr-sysv4.3"$OS_REL"; exit; } ;; - 3[34]??:*:4.0:* | 3[34]??,*:*:4.0:*) - /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ - && { echo i486-ncr-sysv4; exit; } ;; - NCR*:*:4.2:* | MPRAS*:*:4.2:*) - OS_REL='.3' - test -r /etc/.relid \ - && OS_REL=.`sed -n 's/[^ ]* [^ ]* \([0-9][0-9]\).*/\1/p' < /etc/.relid` - /bin/uname -p 2>/dev/null | grep 86 >/dev/null \ - && { echo i486-ncr-sysv4.3"$OS_REL"; exit; } - /bin/uname -p 2>/dev/null | /bin/grep entium >/dev/null \ - && { echo i586-ncr-sysv4.3"$OS_REL"; exit; } - /bin/uname -p 2>/dev/null | /bin/grep pteron >/dev/null \ - && { echo i586-ncr-sysv4.3"$OS_REL"; exit; } ;; - m68*:LynxOS:2.*:* | m68*:LynxOS:3.0*:*) - echo m68k-unknown-lynxos"$UNAME_RELEASE" - exit ;; - mc68030:UNIX_System_V:4.*:*) - echo m68k-atari-sysv4 - exit ;; - TSUNAMI:LynxOS:2.*:*) - echo sparc-unknown-lynxos"$UNAME_RELEASE" - exit ;; - rs6000:LynxOS:2.*:*) - echo rs6000-unknown-lynxos"$UNAME_RELEASE" - exit ;; - PowerPC:LynxOS:2.*:* | PowerPC:LynxOS:3.[01]*:* | PowerPC:LynxOS:4.[02]*:*) - echo powerpc-unknown-lynxos"$UNAME_RELEASE" - exit ;; - SM[BE]S:UNIX_SV:*:*) - echo mips-dde-sysv"$UNAME_RELEASE" - exit ;; - RM*:ReliantUNIX-*:*:*) - echo mips-sni-sysv4 - exit ;; - RM*:SINIX-*:*:*) - echo mips-sni-sysv4 - exit ;; - *:SINIX-*:*:*) - if uname -p 2>/dev/null >/dev/null ; then - UNAME_MACHINE=`(uname -p) 2>/dev/null` - echo "$UNAME_MACHINE"-sni-sysv4 - else - echo ns32k-sni-sysv - fi - exit ;; - PENTIUM:*:4.0*:*) # Unisys `ClearPath HMP IX 4000' SVR4/MP effort - # says - echo i586-unisys-sysv4 - exit ;; - *:UNIX_System_V:4*:FTX*) - # From Gerald Hewes . - # How about differentiating between stratus architectures? -djm - echo hppa1.1-stratus-sysv4 - exit ;; - *:*:*:FTX*) - # From seanf@swdc.stratus.com. - echo i860-stratus-sysv4 - exit ;; - i*86:VOS:*:*) - # From Paul.Green@stratus.com. - echo "$UNAME_MACHINE"-stratus-vos - exit ;; - *:VOS:*:*) - # From Paul.Green@stratus.com. - echo hppa1.1-stratus-vos - exit ;; - mc68*:A/UX:*:*) - echo m68k-apple-aux"$UNAME_RELEASE" - exit ;; - news*:NEWS-OS:6*:*) - echo mips-sony-newsos6 - exit ;; - R[34]000:*System_V*:*:* | R4000:UNIX_SYSV:*:* | R*000:UNIX_SV:*:*) - if [ -d /usr/nec ]; then - echo mips-nec-sysv"$UNAME_RELEASE" - else - echo mips-unknown-sysv"$UNAME_RELEASE" - fi - exit ;; - BeBox:BeOS:*:*) # BeOS running on hardware made by Be, PPC only. - echo powerpc-be-beos - exit ;; - BeMac:BeOS:*:*) # BeOS running on Mac or Mac clone, PPC only. - echo powerpc-apple-beos - exit ;; - BePC:BeOS:*:*) # BeOS running on Intel PC compatible. - echo i586-pc-beos - exit ;; - BePC:Haiku:*:*) # Haiku running on Intel PC compatible. - echo i586-pc-haiku - exit ;; - x86_64:Haiku:*:*) - echo x86_64-unknown-haiku - exit ;; - SX-4:SUPER-UX:*:*) - echo sx4-nec-superux"$UNAME_RELEASE" - exit ;; - SX-5:SUPER-UX:*:*) - echo sx5-nec-superux"$UNAME_RELEASE" - exit ;; - SX-6:SUPER-UX:*:*) - echo sx6-nec-superux"$UNAME_RELEASE" - exit ;; - SX-7:SUPER-UX:*:*) - echo sx7-nec-superux"$UNAME_RELEASE" - exit ;; - SX-8:SUPER-UX:*:*) - echo sx8-nec-superux"$UNAME_RELEASE" - exit ;; - SX-8R:SUPER-UX:*:*) - echo sx8r-nec-superux"$UNAME_RELEASE" - exit ;; - SX-ACE:SUPER-UX:*:*) - echo sxace-nec-superux"$UNAME_RELEASE" - exit ;; - Power*:Rhapsody:*:*) - echo powerpc-apple-rhapsody"$UNAME_RELEASE" - exit ;; - *:Rhapsody:*:*) - echo "$UNAME_MACHINE"-apple-rhapsody"$UNAME_RELEASE" - exit ;; - *:Darwin:*:*) - UNAME_PROCESSOR=`uname -p` || UNAME_PROCESSOR=unknown - set_cc_for_build - if test "$UNAME_PROCESSOR" = unknown ; then - UNAME_PROCESSOR=powerpc - fi - if test "`echo "$UNAME_RELEASE" | sed -e 's/\..*//'`" -le 10 ; then - if [ "$CC_FOR_BUILD" != no_compiler_found ]; then - if (echo '#ifdef __LP64__'; echo IS_64BIT_ARCH; echo '#endif') | \ - (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \ - grep IS_64BIT_ARCH >/dev/null - then - case $UNAME_PROCESSOR in - i386) UNAME_PROCESSOR=x86_64 ;; - powerpc) UNAME_PROCESSOR=powerpc64 ;; - esac - fi - # On 10.4-10.6 one might compile for PowerPC via gcc -arch ppc - if (echo '#ifdef __POWERPC__'; echo IS_PPC; echo '#endif') | \ - (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \ - grep IS_PPC >/dev/null - then - UNAME_PROCESSOR=powerpc - fi - fi - elif test "$UNAME_PROCESSOR" = i386 ; then - # Avoid executing cc on OS X 10.9, as it ships with a stub - # that puts up a graphical alert prompting to install - # developer tools. Any system running Mac OS X 10.7 or - # later (Darwin 11 and later) is required to have a 64-bit - # processor. 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See the GNU -# General Public License for more details. -# -# You should have received a copy of the GNU General Public License -# along with this program; if not, see . -# -# As a special exception to the GNU General Public License, if you -# distribute this file as part of a program that contains a -# configuration script generated by Autoconf, you may include it under -# the same distribution terms that you use for the rest of that -# program. This Exception is an additional permission under section 7 -# of the GNU General Public License, version 3 ("GPLv3"). - - -# Please send patches to . -# -# Configuration subroutine to validate and canonicalize a configuration type. -# Supply the specified configuration type as an argument. -# If it is invalid, we print an error message on stderr and exit with code 1. -# Otherwise, we print the canonical config type on stdout and succeed. - -# You can get the latest version of this script from: -# https://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.sub - -# This file is supposed to be the same for all GNU packages -# and recognize all the CPU types, system types and aliases -# that are meaningful with *any* GNU software. -# Each package is responsible for reporting which valid configurations -# it does not support. 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See the -# GNU General Public License for more details. - -# You should have received a copy of the GNU General Public License -# along with this program. If not, see . - -# As a special exception to the GNU General Public License, if you -# distribute this file as part of a program that contains a -# configuration script generated by Autoconf, you may include it under -# the same distribution terms that you use for the rest of that program. - -# Originally written by Alexandre Oliva . - -case $1 in - '') - echo "$0: No command. Try '$0 --help' for more information." 1>&2 - exit 1; - ;; - -h | --h*) - cat <<\EOF -Usage: depcomp [--help] [--version] PROGRAM [ARGS] - -Run PROGRAMS ARGS to compile a file, generating dependencies -as side-effects. - -Environment variables: - depmode Dependency tracking mode. - source Source file read by 'PROGRAMS ARGS'. - object Object file output by 'PROGRAMS ARGS'. - DEPDIR directory where to store dependencies. - depfile Dependency file to output. - tmpdepfile Temporary file to use when outputting dependencies. - libtool Whether libtool is used (yes/no). - -Report bugs to . -EOF - exit $? - ;; - -v | --v*) - echo "depcomp $scriptversion" - exit $? - ;; -esac - -# Get the directory component of the given path, and save it in the -# global variables '$dir'. Note that this directory component will -# be either empty or ending with a '/' character. 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It works by - # looking at the text of this script. This case will never be run, - # since it is checked for above. - exit 1 - ;; - -none) - exec "$@" - ;; - -*) - echo "Unknown depmode $depmode" 1>&2 - exit 1 - ;; -esac - -exit 0 - -# Local Variables: -# mode: shell-script -# sh-indentation: 2 -# eval: (add-hook 'before-save-hook 'time-stamp) -# time-stamp-start: "scriptversion=" -# time-stamp-format: "%:y-%02m-%02d.%02H" -# time-stamp-time-zone: "UTC0" -# time-stamp-end: "; # UTC" -# End: diff --git a/libs/GeographicLib-1.50.1/doc/CMakeLists.txt b/libs/GeographicLib-1.50.1/doc/CMakeLists.txt deleted file mode 100644 index 090afbb66b487873d048a96914d4aceb739478f0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/CMakeLists.txt +++ /dev/null @@ -1,143 +0,0 @@ -# Where the html versions of the man pages (extension .1.html) are -# found. -set (MANDIR ${PROJECT_BINARY_DIR}/man) - -# Build up a list of the .1.html files. -set (HTMLMAN) -foreach (TOOL ${TOOLS}) - set (HTMLMAN ${HTMLMAN} ${MANDIR}/${TOOL}.1.html) -endforeach () - -if (COMMON_INSTALL_PATH) - set (INSTALL_DOC_DIR "share/doc/GeographicLib") -else () - set (INSTALL_DOC_DIR "doc") -endif () - -# Run doxygen, if available - -# First assemble a list of all the files the documentation uses. Add a -# dependency on htmlman (from man/CMakeLists.txt). Use html/index.html -# as the make target. To make this target, copy the non-doxygen -# generated files into html/. Run doxfile.in thru cmake's config -# process so that absolute path names are used and so that the pathnames -# are properly stripped by doxygen (via STRIP_FROM_PATH). The -# distrib-doc target copies the html directory into the source tree. - -# If doxygen is not available, only the install step (from the source -# tree) is done. - -file (MAKE_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html-stage) -if (DOXYGEN_FOUND) - set (DOCTARGETS) - - configure_file (GeographicLib.dox.in GeographicLib.dox @ONLY) - configure_file (doxyfile.in doxyfile @ONLY) - file (GLOB CXXSOURCES - ../src/[A-Za-z]*.cpp ../include/GeographicLib/[A-Za-z]*.hpp - ../tools/[A-Za-z]*.cpp ../examples/[A-Za-z]*.cpp - ../examples/[A-Za-z]*.hpp) - file (GLOB EXTRA_FILES ../maxima/[A-Za-z]*.mac - tmseries30.html geodseries30.html ../LICENSE.txt) - file (GLOB FIGURES *.png *.svg *.gif) - file (COPY ${EXTRA_FILES} DESTINATION html-stage) - add_custom_target (cxxdoc ALL - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/html/index.html) - add_dependencies (cxxdoc htmlman) - add_custom_command (OUTPUT ${CMAKE_CURRENT_BINARY_DIR}/html/index.html - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/doxyfile - ${CMAKE_CURRENT_BINARY_DIR}/GeographicLib.dox - ${CXXSOURCES} ${EXTRA_FILES} ${FIGURES} ${HTMLMAN} - COMMAND ${CMAKE_COMMAND} -E remove_directory html - COMMAND ${CMAKE_COMMAND} -E copy_directory html-stage html - COMMAND ${DOXYGEN_EXECUTABLE} doxyfile > doxygen.log - COMMENT "Generating C++ documentation tree") - set (DOCTARGETS ${DOCTARGETS} cxxdoc) - - configure_file (doxyfile-c.in doxyfile-c @ONLY) - file (GLOB CSOURCES ../legacy/C/*.[ch]) - add_custom_target (cdoc ALL - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/html/C/index.html) - add_dependencies (cdoc cxxdoc) - add_custom_command (OUTPUT ${CMAKE_CURRENT_BINARY_DIR}/html/C/index.html - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/doxyfile-c geodesic-c.dox ${CSOURCES} - COMMAND ${DOXYGEN_EXECUTABLE} doxyfile-c > doxygen-c.log - COMMENT "Generating C documentation tree") - set (DOCTARGETS ${DOCTARGETS} cdoc) - - configure_file (doxyfile-for.in doxyfile-for @ONLY) - file (GLOB FORTRANSOURCES ../legacy/Fortran/*.for ../legacy/Fortran/*.inc) - add_custom_target (fortrandoc ALL - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/html/Fortran/index.html) - add_dependencies (fortrandoc cxxdoc) - add_custom_command (OUTPUT - ${CMAKE_CURRENT_BINARY_DIR}/html/Fortran/index.html - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/doxyfile-for - geodesic-for.dox ${FORTRANSOURCES} - COMMAND ${DOXYGEN_EXECUTABLE} doxyfile-for > doxygen-for.log - COMMENT "Generating Fortran documentation tree") - set (DOCTARGETS ${DOCTARGETS} fortrandoc) - - configure_file (doxyfile-net.in doxyfile-net @ONLY) - file (GLOB DOTNETSOURCES - ../dotnet/NETGeographicLib/*.cpp ../dotnet/NETGeographicLib/*.h - ../dotnet/examples/CS/*.cs ../dotnet/examples/ManagedCPP/*.cpp - ../dotnet/examples/VB/*.vb) - add_custom_target (dotnetdoc ALL - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/html/NET/index.html) - add_dependencies (dotnetdoc cxxdoc) - add_custom_command (OUTPUT ${CMAKE_CURRENT_BINARY_DIR}/html/NET/index.html - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/doxyfile-net - NETGeographicLib.dox ${DOTNETSOURCES} - COMMAND ${DOXYGEN_EXECUTABLE} doxyfile-net > doxygen-net.log - COMMENT "Generating .NET documentation tree") - set (DOCTARGETS ${DOCTARGETS} dotnetdoc) - - if (JSDOC) - file (GLOB JSSOURCES - ../js/src/*.js ../js/GeographicLib.md ../js/doc/*.md) - add_custom_target (jsdoc ALL - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/html/js/index.html) - add_dependencies (jsdoc cxxdoc) - add_custom_command (OUTPUT ${CMAKE_CURRENT_BINARY_DIR}/html/js/index.html - DEPENDS ${JSSOURCES} - COMMAND ${JSDOC} --verbose -d html/js - -u ${PROJECT_SOURCE_DIR}/js/doc - -c ${PROJECT_SOURCE_DIR}/js/conf.json - -R ${PROJECT_SOURCE_DIR}/js/GeographicLib.md - ${PROJECT_SOURCE_DIR}/js/src > jsdoc.log - COMMENT "Generating JavaScript documentation tree") - set (DOCTARGETS ${DOCTARGETS} jsdoc) - endif () - - if (SPHINX) - file (GLOB PYTHONSOURCES - ../python/geographiclib/*.py ../python/doc/*.rst ../python/doc/conf.py) - add_custom_target (pythondoc ALL - DEPENDS ${CMAKE_CURRENT_BINARY_DIR}/html/python/index.html) - add_dependencies (pythondoc cxxdoc) - add_custom_command (OUTPUT - ${CMAKE_CURRENT_BINARY_DIR}/html/python/index.html - DEPENDS ${PYTHONSOURCES} - COMMAND ${SPHINX} -v -b html -d python-doctree - ${PROJECT_SOURCE_DIR}/python/doc html/python > pythondoc.log - COMMENT "Generating python documentation tree") - set (DOCTARGETS ${DOCTARGETS} pythondoc) - endif () - - add_custom_target (doc ALL) - add_dependencies (doc ${DOCTARGETS}) - - install (DIRECTORY ${CMAKE_CURRENT_BINARY_DIR}/html - DESTINATION ${INSTALL_DOC_DIR}) -else () - file (COPY ../LICENSE.txt DESTINATION html) - # Need to absolute path on destination to support old versions of cmake - configure_file (index.html.in html/index.html) - configure_file (utilities.html.in html/utilities.html) - install (FILES - ${CMAKE_CURRENT_BINARY_DIR}/html/LICENSE.txt - ${CMAKE_CURRENT_BINARY_DIR}/html/index.html - ${CMAKE_CURRENT_BINARY_DIR}/html/utilities.html - DESTINATION ${INSTALL_DOC_DIR}/html) -endif () diff --git a/libs/GeographicLib-1.50.1/doc/GeographicLib.dox.in b/libs/GeographicLib-1.50.1/doc/GeographicLib.dox.in deleted file mode 100644 index 9e56107daaa34b0d092eb48aafa6aef89ee9691b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/GeographicLib.dox.in +++ /dev/null @@ -1,9327 +0,0 @@ -// -*- text -*- -/** - * \file GeographicLib.dox - * \brief Documentation for GeographicLib - * - * Written by Charles Karney and licensed under the - * MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -namespace GeographicLib { -/** -\mainpage GeographicLib library -\author Charles F. F. Karney (charles@karney.com) -\version @PROJECT_VERSION@ -\date 2019-12-13 - -The documentation for other versions is available at -https://geographiclib.sourceforge.io/m.nn/ for versions numbers -m.nn ≥ 1.0. - -\section abstract Abstract - -GeographicLib is a small set of C++ -classes for performing conversions between geographic, UTM, UPS, -MGRS, geocentric, and local cartesian coordinates, for gravity (e.g., -EGM2008), geoid height and geomagnetic field (e.g., WMM2020) -calculations, and for solving geodesic problems. The emphasis is on -returning accurate results with errors close to round-off (about 5--15 -nanometers). Accurate algorithms for \ref geodesic and \ref -transversemercator have been developed for this library. The -functionality of the library can be accessed from user code, from the -\ref utilities provided, or via the \ref other. Also included is a .NET -wrapper library NETGeographicLib -which exposes the functionality to .NET applications. For a sample of -the geodesic capabilities in JavaScript, check out the -online geodesic calculator and -the script for displaying -geodesics in Google Maps - -This library is not a general purpose projection library nor does -it perform datum conversions; instead use -PROJ. On the other -hand, it does provide the core functionality offered by -GEOTRANS. - -\section download Download - -The main project page is at -- https://sourceforge.net/projects/geographiclib -. -The code is available for download at -- - GeographicLib-@PROJECT_VERSION@.tar.gz -- - GeographicLib-@PROJECT_VERSION@.zip -. -as either a compressed tar file (tar.gz) or a zip file. (The two -archives have identical contents, except that the zip file has DOS -line endings.) Alternatively you can get the latest release using git -\verbatim - git clone git://git.code.sourceforge.net/p/geographiclib/code geographiclib -\endverbatim -Each release is tagged, e.g., with r@PROJECT_VERSION@. There are also -binary installers available for some platforms. See \ref binaryinst. - -GeographicLib is licensed under the -MIT/X11 License; -see LICENSE.txt for the terms. - -For more information on GeographicLib, see -- https://geographiclib.sourceforge.io/. - -\section citint Citing GeographicLib - -When citing GeographicLib, use (adjust the version number and date as -appropriate) -- C. F. F. Karney, GeographicLib, Version @PROJECT_VERSION@ (2019-09-24), - https://geographiclib.sourceforge.io/@PROJECT_VERSION@ - -\section contents Contents - - \ref intro - - \ref install - - \ref start - - \ref utilities - - \ref organization - - \ref other - - \ref geoid - - \ref gravity - - \ref normalgravity - - \ref magnetic - - \ref geodesic - - \ref nearest - - \ref triaxial - - \ref jacobi - - \ref rhumb - - \ref greatellipse - - \ref transversemercator - - \ref geocentric - - \ref auxlat - - \ref highprec - - \ref changes - -
-Forward to \ref intro. -
- -**********************************************************************/ -/** -\page intro Introduction - -
-Forward to \ref install. Up to \ref contents. -
- -GeographicLib offers a C++ interfaces to a small (but important!) set -of geographic transformations. It grew out of a desire to improve on -the GEOTRANS -package for transforming between geographic and MGRS coordinates. At -present, GeographicLib provides UTM, UPS, MGRS, geocentric, and local -cartesian projections, gravity and geomagnetic models, and classes for -geodesic calculations. - -The goals of GeographicLib are: - - Accuracy. In most applications the accuracy is close to round-off, - about 5 nm (5 nanometers). Even though in many geographic - applications 1 cm is considered "accurate enough", there is little - penalty in providing much better accuracy. In situations where a - faster approximate algorithm is necessary, GeographicLib offers an - accurate benchmark to guide the development. - - Completeness. For each of the projections included, an attempt is - made to provide a complete solution. For example, - Geodesic::Inverse works for anti-podal points. - Similarly, Geocentric::Reverse will return accurate - geodetic coordinates even for points close to the center of the - earth. - - C++ interface. For the projection methods, this allows encapsulation - of the ellipsoid parameters. - - Emphasis on projections necessary for analyzing military data. - - Uniform treatment of UTM/UPS. The UTMUPS class treats - UPS as zone 0. This simplifies conversions between UTM and UPS - coordinates, etc. - - Well defined and stable conventions for the conversion between - UTM/UPS to MGRS coordinates. - - Detailed internal documentation on the algorithms. For the most part - GeographicLib uses published algorithms and references are given. If - changes have been made (usually to improve the numerical accuracy), - these are described in the code. - -Various \ref utilities are provided with the library. These illustrate -the use of the library and are useful in their own right. This library -and the utilities have been tested with g++ 5.3.1 under Linux, with -Apple LLVM 7.0.2 under Mac OS X, and with MS Visual Studio 10 (2010), 11 -(2012), 12 (2013), 14 (2015), 15 (2017), and 16 (2019) compiled for 32 -bit and 64 bit on Windows. - -MATLAB, JavaScript, and Python interfaces are provided to portions of -GeographicLib; see \ref other. - -The section \ref geodesic documents the method of solving the geodesic -problem. - -The section \ref transversemercator documents various properties of this -projection. - -The bulk of the testing has used geographically relevant values of the -flattening. Thus, you can expect close to full accuracy for −0.01 -≤ \e f ≤ 0.01 (but note that TransverseMercatorExact is restricted -to \e f > 0). However, reasonably accurate results can be expected if -−0.1 ≤ \e f ≤ 0.1. Outside this range, you should attempt -to verify the accuracy of the routines independently. Two types of -problems may occur with larger values of f: - - Some classes, specifically Geodesic, GeodesicLine, and - TransverseMercator, use series expansions using \e f as a small - parameter. The accuracy of these routines will degrade as \e f - becomes large. - - Even when exact formulas are used, many of the classes need to invert - the exact formulas (e.g., to invert a projection), typically, using - Newton's method. This usually provides an essentially exact - inversion. However, the choice of starting guess and the exit - conditions have been tuned to cover small values of \e f and the - inversion may be incorrect if \e f is large. - -Undoubtedly, bugs lurk in this code and in the documentation. Please -report any you find to charles@karney.com. - -
-Forward to \ref install. Up to \ref contents. -
- -**********************************************************************/ -/** -\page install Installing GeographicLib - -
-Back to \ref intro. Forward to \ref start. Up to \ref contents. -
- -GeographicLib has been developed under Linux with the g++ compiler -(versions 4.0 and later), under Mac OS X with Xcode (version 8.2), and -under Windows with Visual Studio 2010 and later. Earlier versions were -tested also under Visual Studio 2005 and 2008 and under Solaris. It -should compile on a wide range of other systems. First download either - -GeographicLib-@PROJECT_VERSION@.tar.gz or - -GeographicLib-@PROJECT_VERSION@.zip (or - -GeographicLib-@PROJECT_VERSION@-win32.exe or - -GeographicLib-@PROJECT_VERSION@-win64.exe -for binary installation under Windows). -Then pick one of the first five options below: -- \ref cmake. This is the preferred installation method as it will work - on the widest range of platforms. However it requires that you have - cmake installed. -- \ref autoconf. This method works for most Unix-like systems, - including Linux and Mac OS X. -- \ref gnu. This is a simple installation method that works with g++ - and GNU make on Linux and many Unix platforms. -- \ref windows. This is a simple installation method that works with - Visual Studio 2010 under Windows. -- \ref binaryinst. Use this installation method if you only need to use - the \ref utilities supplied with GeographicLib. (This method also - installs the header files and the library for use by Visual Studio 14 - 2015.) -- \ref qt. How to compile GeographicLib so that it can be used by Qt - programs. -- \ref maintainer. This describes addition tasks of interest only to - the maintainers of this code. -. -This section documents only how to install the software. If you -wish to use GeographicLib to evaluate geoid heights or the earth's -gravitational or magnetic fields, then you must also install the -relevant data files. See \ref geoidinst, \ref gravityinst, and \ref -magneticinst for instructions. - -The first two installation methods use two important techniques which -make software maintenance simpler -- Out-of-source builds: This means that you create a separate - directory for compiling the code. In the description here the - directories are called BUILD and are located in the top-level of the - source tree. You might want to use a suffix to denote the type of - build, e.g., BUILD-vc14 for Visual Studio 14 (2015), or BUILD-shared - for a build which creates a shared library. The advantages of - out-of-source builds are: - - You don't mess up the source tree, so it's easy to "clean up". - Indeed the source tree might be on a read-only file system. - - Builds for multiple platforms or compilers don't interfere with each - other. -- The library is installed: After compilation, there is a - separate install step which copies the headers, libraries, - tools, and documentation to a "central" location. You may at this - point delete the source and build directories. If you have - administrative privileges, you can install GeographicLib for the use - of all users (e.g., in /usr/local). Otherwise, you can install it for - your personal use (e.g., in $HOME/packages). - -\section cmake Installation with cmake - -This is the recommended method of installation; however it requires that -cmake, version 3.1.0 or later, be -installed on your system. This permits GeographicLib to be built either -as a shared or a static library on a wide variety of systems. cmake can -also determine the capabilities of your system and adjust the -compilation of the libraries and examples appropriately. - -cmake is available for most computer platforms. On Linux systems cmake -will typically one of the standard packages and can be installed by a -command like - \verbatim - yum install cmake \endverbatim -(executed as root). The minimum version of cmake supported for building -GeographicLib is 3.1.0 (which was released on 2014-12-15). - -On other systems, download a binary installer from https://www.cmake.org -click on download, and save and run the appropriate installer. Run the -cmake command with no arguments to get help. Other useful tools are -ccmake and cmake-gui which offer curses and graphical interfaces to -cmake. Building under cmake depends on whether it is targeting an IDE -(interactive development environment) or generating Unix-style -makefiles. The instructions below have been tested with makefiles and -g++ on Linux and with the Visual Studio IDE on Windows. It is known to -work also for Visual Studio 2017 Build Tools. - -Here are the steps to compile and install GeographicLib: -- Unpack the source, running one of \verbatim - tar xfpz GeographicLib-@PROJECT_VERSION@.tar.gz - unzip -q GeographicLib-@PROJECT_VERSION@.zip \endverbatim - then enter the directory created with \verbatim - cd GeographicLib-@PROJECT_VERSION@ \endverbatim -- Create a separate build directory and enter it, for example, \verbatim - mkdir BUILD - cd BUILD \endverbatim -- Run cmake, pointing it to the source directory (..). On Linux, Unix, - and MacOSX systems, the command is \verbatim - cmake .. \endverbatim - For Windows, the command is typically something like \verbatim - cmake -G "Visual Studio 14" -A win32 -D CMAKE_INSTALL_PREFIX="C:/Program Files (x86)/GeographicLib-@PROJECT_VERSION@" .. - cmake -G "Visual Studio 14" -A x64 -D CMAKE_INSTALL_PREFIX="C:/Program Files/GeographicLib-@PROJECT_VERSION@" ..\endverbatim - The definitions of CMAKE_INSTALL_PREFIX point to system directories. - You might instead prefer to install to a user directory such as - C:/Users/jsmith/projects/GeographicLib-@PROJECT_VERSION@. - The settings given above are recommended to ensure that packages that - use GeographicLib use the version compiled with the right compiler. - If you need to rerun cmake, use \verbatim - cmake . \endverbatim - possibly including some options via -D (see the next step). -- cmake allows you to configure how GeographicLib is built and installed by - supplying options, for example \verbatim - cmake -D CMAKE_INSTALL_PREFIX=/tmp/geographic . \endverbatim - The options you might need to change are - - COMMON_INSTALL_PATH governs the installation - convention. If it is on ON (the Linux default), the installation - is to a common directory, e.g., /usr/local. If it is OFF (the - Windows default), the installation directory contains the package - name, e.g., - C:/Program Files/GeographicLib-@PROJECT_VERSION@. The - installation directories for the documentation, cmake configuration, - Python and MATLAB interfaces all depend on the variable with deeper - paths relative to CMAKE_INSTALL_PREFIX being used when it's ON: - - cmake configuration: OFF cmake; ON: lib/cmake/GeographicLib; - - documentation: OFF: doc/html; ON: share/doc/GeographicLib/html; - - JavaScript interface: OFF: node_modules; ON: lib/node_modules; - - Python interface: OFF: python; ON: lib/python/site-packages; - - MATLAB interface: OFF: matlab; ON: share/matlab. - . - - CMAKE_INSTALL_PREFIX (default: /usr/local - on non-Windows systems, C:/Program Files (x86)/GeographicLib - on Windows systems) specifies where the library will be installed. - For Windows systems, you might want to use a prefix which includes - the compiler version, in order to keep the libraries built with - different versions of the compiler in distinct locations. If you - just want to try the library to see if it suits your needs, pick, - for example, - CMAKE_INSTALL_PREFIX=/tmp/geographic. - - GEOGRAPHICLIB_DATA (default: - /usr/local/share/GeographicLib for non-Windows systems, - C:/ProgramData/GeographicLib for Windows systems) specifies the default - location for the various datasets for use by Geoid, - GravityModel, and MagneticModel. - See \ref geoidinst, \ref gravityinst, and \ref magneticinst for more - information. - - GEOGRAPHICLIB_LIB_TYPE (allowed values: SHARED, STATIC, or - BOTH), specifies the types of libraries build. The default is - STATIC for Windows and SHARED otherwise. If building GeographicLib - for system-wide use, BOTH is recommended, because this provides users - with the choice of which library to use. - - CMAKE_BUILD_TYPE (default: Release). This - flags only affects non-IDE compile environments (like make + g++). - The default is actually blank, but this is treated as - Release. Choose one of - \verbatim - Debug - Release - RelWithDebInfo - MinSizeRel -\endverbatim - (With IDE compile environments, you get to select the build type in - the IDE.) - - GEOGRAPHICLIB_DOCUMENTATION (default: OFF). If set to - ON, then html documentation is created from the source files, - provided a sufficiently recent version of doxygen can be found. - Otherwise, the html documentation will redirect to the appropriate - version of the online documentation. - - BUILD_NETGEOGRAPHICLIB (default: OFF). If set to ON, - build the managed C++ wrapper library - NETGeographicLib. This only makes - sense for Windows systems. - - GEOGRAPHICLIB_PRECISION specifies the precision to be - used for "real" (i.e., floating point) numbers. Here are the - possible values - -# float (24-bit precision); typically this is far to inaccurate - for geodetic applications. - -# double precision (53-bit precision, the default). - -# long double (64-bit precision); this does not apply for Visual - Studio (long double is the same as double with that compiler). - -# quad precision (113-bit precision). - -# arbitrary precision. - . - See \ref highprec for addition information about the last two - values. Nearly all the testing has been carried out with doubles - and that's the recommended configuration. In particular you should - avoid "installing" the library with a precision different from - double. - - USE_BOOST_FOR_EXAMPLES (default: OFF). If set to ON, - then the Boost library is searched for in order to build the - NearestNeighbor example. - - APPLE_MULTIPLE_ARCHITECTURES (default: OFF). If set to - ON, build for i386 and x86_64 and Mac OS X systems. Otherwise, - build for the default architecture. - - CONVERT_WARNINGS_TO_ERRORS (default: OFF). If set to - ON, then compiler warnings are treated as errors. (This happens - also if you are a "developer", i.e., if the file - tests/CMakeLists.txt is present.) -- Build and install the software. In non-IDE environments, run - \verbatim - make # compile the library and utilities - make test # run some tests - make install # as root, if CMAKE_INSTALL_PREFIX is a system directory -\endverbatim - Possible additional targets are \verbatim - make dist - make exampleprograms - make netexamples (supported only for Release configuration) \endverbatim - On IDE environments, run your IDE (e.g., Visual Studio), load - GeographicLib.sln, pick the build type (e.g., Release), and select - "Build Solution". If this succeeds, select "RUN_TESTS" to build; - finally, select "INSTALL" to install (RUN_TESTS and INSTALL are in - the CMakePredefinedTargets folder). Alternatively (for example, if - you are using the Visual Studio 2017 Build Tools), you run the Visual - Studio compiler from the command line with \verbatim - cmake --build . --config Release --target ALL_BUILD - cmake --build . --config Release --target RUN_TESTS - cmake --build . --config Release --target INSTALL \endverbatim - For maximum flexibility, it's a good idea to build and install both - the Debug and Release versions of the library (in that order). The - installation directories will then contain the release versions of the - tools and both versions (debug and release) of the libraries. - If you use cmake to configure and build your programs, then the right - version of the library (debug vs. release) will automatically be used. -- The headers, library, and utilities are installed in the - include/GeographicLib, lib, and bin directories under - CMAKE_INSTALL_PREFIX. (dll dynamic libraries are - installed in bin.) For documentation, open in a web browser - - PREFIX/share/doc/GeographicLib/html/index.html, if - COMMON_INSTALL_PATH is ON, or - PREFIX/doc/index.html, otherwise. - -\section autoconf Installation using the autoconfigure tools - -The method works on most Unix-like systems including Linux and Mac OS X. -Here are the steps to compile and install GeographicLib: -- Unpack the source, running \verbatim - tar xfpz GeographicLib-@PROJECT_VERSION@.tar.gz \endverbatim - then enter the directory created \verbatim - cd GeographicLib-@PROJECT_VERSION@ \endverbatim -- Create a separate build directory and enter it, for example, \verbatim - mkdir BUILD - cd BUILD \endverbatim -- Configure the software, specifying the path of the source directory, - with \verbatim - ../configure \endverbatim -- By default GeographicLib will be installed under /usr/local. - You can change this with, for example \verbatim - ../configure --prefix=/tmp/geographic \endverbatim -- Compile and install the software with \verbatim - make - make install \endverbatim -- The headers, library, and utilities are installed in the - include/GeographicLib, lib, and bin directories under - prefix. For documentation, open - share/doc/GeographicLib/html/index.html in a web browser. - -\section gnu Installation with GNU compiler and Make - -This method requires the standard GNU suite of tools, in particular make -and g++. This builds a static library and the examples. - -Here are the steps to compile and install GeographicLib: -- Unpack the source, running \verbatim - tar xfpz GeographicLib-@PROJECT_VERSION@.tar.gz \endverbatim - then enter the directory created \verbatim - cd GeographicLib-@PROJECT_VERSION@ \endverbatim -- Edit \verbatim - include/GeographicLib/Config.h \endverbatim - If your C++ compiler does not recognize the long double type - (unlikely), insert \code - #undef GEOGRAPHICLIB_HAVE_LONG_DOUBLE \endcode - If your machine using big endian ordering, then insert \code - #define GEOGRAPHICLIB_WORDS_BIGENDIAN 1 \endcode -- Build and install the software: \verbatim - make # compile the library and the examples - make install # as root \endverbatim - The installation is in directories under /usr/local. You - can specify a different installation directory with, for example, - \verbatim - make PREFIX=/tmp/geographic install \endverbatim -- The headers, library, and utilities are installed in the - include/GeographicLib, lib, and bin directories under - PREFIX. For documentation, open - share/doc/GeographicLib/html/index.html in a web browser. - -\section windows Installation on Windows - -This method requires Visual Studio 2010. This builds a static -library and the utilities. If you have some other version of Visual -Studio, use cmake to create the necessary solution file, see \ref cmake. -(cmake is needed to run the tests.) -- Unpack the source, running \verbatim - unzip -q GeographicLib-@PROJECT_VERSION@.zip \endverbatim -- Open GeographicLib-@PROJECT_VERSION@/windows/GeographicLib-vc10.sln in - Visual Studio 2010 (for - Visual Studio Express 2010, replace -vc10 by -vc10x). -- Pick the build type (e.g., Release), and select "Build Solution". -- The library and the compiled examples are in the windows/Release. -- Copy the library windows/Release/GeographicLib.lib and the headers in - include/GeographicLib somewhere convenient. The headers should remain - in a directory named GeographicLib. For documentation, open - doc/html/index.html in a web browser. - -The Visual Studio 10 solution also contains projects to build -NETGeographicLib and the C# example project. - -\section binaryinst Using a binary installer - -Binary installers are available for some platforms - -\subsection binaryinstwin Windows - -Use this method if you only need to use the GeographicLib utilities. -The header files and static and shared versions of library are also -provided; these can only be used by Visual Studio 14 2015 or later (2017 -or 2019) (in either release or debug mode). However, if you plan to use -the library, it may be advisable to build it with the compiler you are -using for your own code using either \ref cmake or \ref windows. - -Download and run - -GeographicLib-@PROJECT_VERSION@-win32.exe or - -GeographicLib-@PROJECT_VERSION@-win64.exe: - - read the MIT/X11 License agreement, - - select whether you want your PATH modified, - - select the installation folder, by default - C:\\Program Files\\GeographicLib-@PROJECT_VERSION@ or - C:\\Program Files (x86)\\GeographicLib-@PROJECT_VERSION@, - - select the start menu folder, - - and install. - . -(Note that the default installation folder adheres the the convention -given in \ref cmake.) The start menu will now include links to the -documentation for the library and for the utilities (and a link for -uninstalling the library). If you ask for your PATH to be modified, it -will include -C:/Program Files{, (x86)}/GeographicLib-@PROJECT_VERSION@/bin -where the utilities are installed. The headers and library are -installed in the include/GeographicLib and lib folders. The libraries -were built using using Visual Studio 14 2015 in release and debug modes. -The utilities were linked against the release-mode shared library. - -NETGeographicLib library dlls (release and -debug) are included with the binary installers; these are linked against -the shared library for GeographicLib. - -Also included are the Python, JavaScript, and MATLAB interfaces. - -\subsection binaryinstosx MacOSX - -You can install using Homebrew. Follow the directions on -https://brew.sh/ for installing this package manager. Then type -\verbatim -brew install geographiclib \endverbatim -Now links to GeographicLib are installed under /usr/local. - -\subsection binaryinstlin Linux - -Some Linux distributions, Fedora, Debian, and Ubuntu, offer -GeographicLib as a standard package. Typically these will be one or two -versions behind the latest. - -\section qt Building the library for use with Qt - -If Qt is using a standard compiler, then build GeographicLib with that -same compiler (and optimization flags) as Qt. - -If you are using the mingw compiler on Windows for Qt, then you need to -build GeographicLib with mingw. You can accomplish this with cmake -under cygwin with, for example, \verbatim - export PATH="`cygpath -m c:/QtSDK/mingw/bin`:$PATH" - mkdir BUILD - cd BUILD - cmake -G "MinGW Makefiles" -D CMAKE_INSTALL_PREFIX="C:/Program Files/GeographicLib" .. - mingw32-make - mingw32-make install \endverbatim -If cmake complains that sh mustn't be in your path, invoke cmake with -\verbatim - env PATH="$( echo $PATH | tr : '\n' | - while read d; do test -f "$d/sh.exe" || echo -n "$d:"; done | - sed 's/:$//' )" \ - cmake -G "MinGW Makefiles" -D CMAKE_INSTALL_PREFIX="C:/Program Files/GeographicLib" .. -\endverbatim - -\section maintainer Maintainer tasks - -Check the code out of git with \verbatim - git clone -b master git://git.code.sourceforge.net/p/geographiclib/code geographiclib -\endverbatim -Here the "master" branch is checked out. There are three branches in -the git repository: -- master: the main branch for code maintenance. Releases are - tagged on this branch as, e.g., v@PROJECT_VERSION@. -- devel: the development branch; changes made here are merged - into master. -- release: the release branch created by unpacking the source - releases (git is \e not used to merge changes from the other - branches into this branch). This is the \e default branch of the - repository (the branch you get if cloning the repository without - specifying a branch). This differs from the master branch in that - some administrative files are excluded while some intermediate files - are included (in order to aid building on as many platforms as - possible). Releases are tagged on this branch as, e.g., - r@PROJECT_VERSION@. -. -The autoconf configuration script and the formatted man pages are not -checked into master branch of the repository. In order to create the -autoconf configuration script, run \verbatim - sh autogen.sh \endverbatim -in the top level directory. Provided you are running on a system with -doxygen, pod2man, and pod2html installed, then you can create the -documentation and the man pages by building the system using cmake or -configure. - -In the case of cmake, you then run \verbatim - make dist \endverbatim -which will copy the man pages from the build directory back into the -source tree and package the resulting source tree for distribution as -\verbatim - GeographicLib-@PROJECT_VERSION@.tar.gz - GeographicLib-@PROJECT_VERSION@.zip \endverbatim -Finally, \verbatim - make package \endverbatim -or building PACKAGE in Visual Studio will create a binary installer for -GeographicLib. For Windows, this requires in the installation of -NSIS. On Windows, you should -configure GeographicLib with PACKAGE_DEBUG_LIBS=ON, build both -Release and Debug versions of the library and finally build PACKAGE in -Release mode. This will get the release and debug versions of the -library included in the package. For example, the 64-bit binary -installer is created with \verbatim - cmake -G "Visual Studio 14" -A x64 \ - -D GEOGRAPHICLIB_LIB_TYPE=BOTH \ - -D PACKAGE_DEBUG_LIBS=ON \ - -D BUILD_NETGEOGRAPHICLIB=ON \ - .. - cmake --build . --config Debug --target ALL_BUILD - cmake --build . --config Release --target ALL_BUILD - cmake --build . --config Release --target matlabinterface - cmake --build . --config Release --target PACKAGE \endverbatim - -With configure, run \verbatim - make dist-gzip \endverbatim -which will create the additional files and packages the results ready -for distribution as \verbatim - geographiclib-@PROJECT_VERSION@.tar.gz \endverbatim - -Prior to making a release, the script -tests/test-distribution.sh is run on a Fedora system. This -checked that the library compiles correctly is multiple configurations. -In addition it creates a directory and scripts for checking the -compilation on Windows. - -The following Fedora packages are required by -tests/test-distribution.sh -- cmake -- automake -- autoconf-archive -- libtool -- gcc-c++ -- gcc-gfortran -- ccache -- doxygen -- boost-devel -- mpfr-devel -- octave -- python2-sphinx -- nodejs -- maven -. - -The following npm packages need to be installed (jshint is just for -syntax checking) \verbatim - npm install -g mocha jsdoc jshint \endverbatim -The following Fedora package is also useful for syntax checking python -- pychecker -. -Installing the python package requires the following \verbatim - python3 -m pip install --user --upgrade setuptools wheel twine \endverbatim -A recent version of mpreal.h needs to be downloaded from -https://bitbucket.org/advanpix/mpreal and installed -in the include/ directory. For all the tests to be run, -the following datasets need to be installed -- geoid models: egm96-5 -- magnetic models: wmm2010 emm2015 -- gravity models: egm2008 grs80 - -
-Back to \ref intro. Forward to \ref start. Up to \ref contents. -
- -**********************************************************************/ -/** -\page start Getting started - -
-Back to \ref install. Forward to \ref utilities. Up to \ref contents. -
- -Much (but not all!) of the useful functionality of GeographicLib is -available via simple command line utilities. Interfaces to some of them -are available via the web. See \ref utilities for documentation on -these. - -In order to use GeographicLib from C++ code, you will need to -- Include the header files for the GeographicLib classes in your code. - E.g., \code - #include \endcode -- Include the GeographicLib:: namespace prefix to the GeographicLib classes, - or include \code - using namespace GeographicLib; \endcode - in your code. -- Finally compile and link your code. You have two options here. - - Use cmake to build your package. If you are familiar with cmake - this typically will be far the simplest option. - - Set the include paths and linking options "manually". -- Building your code with cmake. In brief, the necessary steps are: - - include in your CMakeLists.txt files \verbatim - find_package (GeographicLib REQUIRED) - add_executable (program source1.cpp source2.cpp) - target_link_libraries (program ${GeographicLib_LIBRARIES}) \endverbatim - - configure your package, e.g., with \verbatim - mkdir BUILD - cd BUILD - cmake -G "Visual Studio 14" -A x64 \ - -D CMAKE_PREFIX_PATH="C:/Program Files" \ - -D CMAKE_INSTALL_PREFIX="C:/Program Files/testgeographic" \ - .. \endverbatim - Note that you almost always want to configure and build your code - somewhere other than the source directory (in this case, we use the - BUILD subdirectory). Also, on Windows, make sure that the version - of Visual Studio (14 in the example above) architecture (x64 in the - example above) is compatible with that used to build GeographicLib. - In this example, it's not necessary to specify - CMAKE_PREFIX_PATH, because C:/Program - Files is one of the system paths which is searched - automatically. - - build your package. On Linux and MacOS this usually involves just - running make. On Windows, you can load the solution file created by - cmake into Visual Studio; alternatively, you can get cmake to run - build your code with \verbatim - cmake --build . --config Release --target ALL_BUILD \endverbatim - You might also want to install your package (using "make install" or - build the "INSTALL" target with the command above). - . - The most import step is the find_package command. The cmake - documentation describes the locations searched by find_package (the - appropriate rule for GeographicLib are those for "Config" mode lookups). - In brief, the locations that are searched are (from least specific to - most specific, i.e., in reverse order) are - - under the system paths, i.e., locations such as C:/Program - Files and /usr/local); - - frequently, it's necessary to search within a "package directory" - (or set of directories) for external dependencies; this is given by - a (semicolon separated) list of directories specified by the cmake - variable CMAKE_PREFIX_PATH (illustrated above); - - the package directory for GeographicLib can be overridden with the - environment variable GeographicLib_DIR (which is the - directory under which GeographicLib is installed); - - finally, if you need to point to a particular build of GeographicLib, - define the cmake variable GeographicLib_DIR, which - specifies the absolute path of the directory containing the - configuration file geographiclib-config.cmake (for - debugging this may be the top-level build directory, as - opposed to installation directory, for GeographicLib). - . - Typically, specifying nothing or CMAKE_PREFIX_PATH - suffices. However the two GeographicLib_DIR variables allow - for a specific version to be chosen. On Windows systems (with Visual - Studio), find_package will only find versions of GeographicLib built with - the right version of the compiler. (If you used a non-cmake method of - installing GeographicLib, you can try copying cmake/FindGeographicLib.cmake - to somewhere in your CMAKE_MODULE_PATH in order for - find_package to work. However, this method has not been thoroughly - tested.) - - If GeographicLib is not found, check the values of - GeographicLib_CONSIDERED_CONFIGS and - GeographicLib_CONSIDERED_VERSIONS; these list the - configuration files and corresponding versions which were considered - by find_package. - - If GeographicLib is found, then the following cmake variables are set: - - GeographicLib_FOUND = 1 - - GeographicLib_VERSION = @PROJECT_VERSION@ - - GeographicLib_INCLUDE_DIRS - - GeographicLib_LIBRARIES = one of the following two: - - GeographicLib_SHARED_LIBRARIES = GeographicLib_SHARED - - GeographicLib_STATIC_LIBRARIES = GeographicLib_STATIC - - GeographicLib_LIBRARY_DIRS - - GeographicLib_BINARY_DIRS - - GEOGRAPHICLIB_DATA = value of this compile-time parameter - . - Either of GeographicLib_SHARED_LIBRARIES or - GeographicLib_STATIC_LIBRARIES may be empty, if that version - of the library is unavailable. If you require a specific version, - SHARED or STATIC, of the library, add a COMPONENTS clause - to find_package, e.g., - \verbatim - find_package (GeographicLib 1.34 REQUIRED COMPONENTS SHARED) \endverbatim - causes only packages which include the shared library to be found. If - the package includes both versions of the library, then - GeographicLib_LIBRARIES is set to the shared version, - unless you include \verbatim - set (GeographicLib_USE_STATIC_LIBS ON) \endverbatim - before the find_package command. You can check whether - GeographicLib_LIBRARIES refers to the shared or static - library with \verbatim - get_target_property(_LIBTYPE ${GeographicLib_LIBRARIES} TYPE) \endverbatim - which results in _LIBTYPE being set to - SHARED_LIBRARY or STATIC_LIBRARY. - On Windows, cmake takes care of linking to the release or debug - version of the library as appropriate. (This assumes that the Release - and Debug versions of the libraries were built and installed. This is - true for the Windows binary installer for GeographicLib version 1.34 and - later.) -- Here are the steps to compile and link your code using GeographicLib - "manually". - - Tell the compiler where to find the header files. With g++ and with - /usr/local specified as the installation directory, - this is accomplished with \verbatim - g++ -c -g -O3 -I/usr/local/include testprogram.cpp - \endverbatim - With Visual Studio, specify the include directory in the IDE via, - e.g., - \verbatim - C/C++ -> General -> Additional Include Directories = C:\pkg-vc14-x64\GeographicLib\include - \endverbatim - - If using the shared (or static) library with Visual Studio, define - the macro GEOGRAPHICLIB_SHARED_LIB=1 (or - 0), e.g., - \verbatim - C/C++ -> Preprocessor -> Preprocessor Definitions = GEOGRAPHICLIB_SHARED_LIB=1 - \endverbatim - This is only needed for Windows systems when both shared and static - libraries have been installed. (If you configure your package with - cmake, this definition is added automatically.) - - Tell the linker the name, Geographic, and location of the - library. Using g++ as the linker, you would use \verbatim - g++ -g -o testprogram testprogram.o -L/usr/local/lib -lGeographic - \endverbatim - With Visual Studio, you supply this information in the IDE via, - e.g., \verbatim - Linker -> Input -> Additional Dependencies = Geographic-i.lib (for shared library) - Linker -> Input -> Additional Dependencies = Geographic.lib (for static library) - Linker -> General -> Additional Library Directories = C:\pkg-vc14-x64\Geographic\lib - \endverbatim - Note that the library name is Geographic and not - GeographicLib. For the Debug version of your program on Windows - add "_d" to the library, e.g., Geographic_d-i.lib or - Geographic_d.lib. - - Tell the runtime environment where to find the shared library - (assuming you compiled %Geographic as a shared library). With g++, - this is accomplished by modifying the link line above to read \verbatim - g++ -g -o testprogram testprogram.o -Wl,-rpath=/usr/local/lib \ - -L/usr/local/lib -lGeographic - \endverbatim - (There are two other ways to specify the location of shared libraries - at runtime: (1) define the environment variable - LD_LIBRARY_PATH to be a colon-separated list of - directories to search; (2) as root, specify /usr/local/lib as a - directory searched by ldconfig(8).) On Windows, you need to ensure - that Geographic.dll or Geographic_d.dll is in the same directory as - your executable or else include the directory containing the dll in - your PATH. - - You can also use the pkg-config utility to specify compile and link - flags. This requires that pkg-config be installed and that it's - configured to search, e.g., /usr/local/lib/pgkconfig; if not, define - the environment variable PKG_CONFIG_PATH to include - this directory. The compile and link steps under Linux would - typically be - \verbatim - g++ -c -g -O3 `pkg-config --cflags geographiclib` testprogram.cpp - g++ -g -o testprogram testprogram.o `pkg-config --libs geographiclib` - \endverbatim - -Here is a very simple test code, which uses the Geodesic -class: -\include example-Geodesic-small.cpp -This example is examples/example-Geodesic-small.cpp. If you -compile, link, and run it according to the instructions above, it should -print out \verbatim - 5551.76 km \endverbatim -Here is a complete CMakeList.txt files you can use to build this test -code using the installed library: \verbatim -project (geodesictest) -cmake_minimum_required (VERSION 3.1.0) - -find_package (GeographicLib REQUIRED) - -if (NOT MSVC) - set (CMAKE_INSTALL_RPATH_USE_LINK_PATH TRUE) -endif () - -add_executable (${PROJECT_NAME} example-Geodesic-small.cpp) -target_link_libraries (${PROJECT_NAME} ${GeographicLib_LIBRARIES}) - -if (MSVC) - get_target_property (_LIBTYPE ${GeographicLib_LIBRARIES} TYPE) - if (_LIBTYPE STREQUAL "SHARED_LIBRARY") - # On Windows systems, copy the shared library to build directory - add_custom_command (TARGET ${PROJECT_NAME} POST_BUILD - COMMAND ${CMAKE_COMMAND} -E - copy $ ${CMAKE_CFG_INTDIR} - COMMENT "Copying shared library for GeographicLib") - endif () -endif () \endverbatim - -The next steps are: - - Learn about and run the \ref utilities. - - Read the section, \ref organization, for an overview of the library. - - Browse the Class List for full documentation - on the classes in the library. - - Look at the example code in the examples directory. Each file - provides a very simple standalone example of using one GeographicLib - class. These are included in the descriptions of the classes. - - Look at the source code for the utilities in the tools directory for - more examples of using GeographicLib from C++ code, e.g., - GeodesicProj.cpp is a program to performing various geodesic - projections. - -Here's a list of some of the abbreviations used here with links to the -corresponding Wikipedia articles: - - - WGS84, World Geodetic System 1984. - - - UTM, Universal Transverse Mercator coordinate system. - - - UPS, Universal Polar Stereographic coordinate system. - - - MGRS, Military Grid Reference System. - - - EGM, Earth Gravity Model. - - - WMM, World Magnetic Model. - - - IGRF, International Geomagnetic Reference Field. - -
-Back to \ref install. Forward to \ref utilities. Up to \ref contents. -
- -**********************************************************************/ -/** -\page utilities Utility programs - -
-Back to \ref start. Forward to \ref organization. Up to \ref contents. -
- -Various utility programs are provided with GeographicLib. These should -be installed in a directory included in your PATH (e.g., -/usr/local/bin). These programs are wrapper programs that invoke -the underlying functionality provided by the library. - -The utilities are - - - GeoConvert: convert geographic coordinates using - GeoCoords. See \ref GeoConvert.cpp. - - - GeodSolve: perform geodesic calculations using - Geodesic and GeodesicLine. See \ref GeodSolve.cpp. - - - Planimeter: compute the area of geodesic polygons using - PolygonAreaT. See \ref Planimeter.cpp. - - - TransverseMercatorProj: convert between geographic - and transverse Mercator. This is for testing - TransverseMercatorExact and - TransverseMercator. See \ref TransverseMercatorProj.cpp. - - - CartConvert: convert geodetic coordinates to geocentric or - local cartesian using Geocentric and - LocalCartesian. See \ref CartConvert.cpp. - - - GeodesicProj: perform projections based on geodesics - using AzimuthalEquidistant, Gnomonic, - and CassiniSoldner. See \ref GeodesicProj.cpp. - - - ConicProj: perform conic projections using - LambertConformalConic and - AlbersEqualArea. See \ref ConicProj.cpp. - - - GeoidEval: look up geoid heights using - Geoid. See \ref GeoidEval.cpp. - - - Gravity: compute the earth's gravitational field using - GravityModel and GravityCircle. See \ref Gravity.cpp. - - - MagneticField: compute the earth's magnetic field using - MagneticModel and MagneticCircle. See \ref MagneticField.cpp. - - - RhumbSolve: perform rhumb line calculations using Rhumb - and RhumbLine. See \ref RhumbSolve.cpp. - . -The documentation for these utilities is in the form of man pages. This -documentation can be accessed by clicking on the utility name in the -list above, running the man command on Unix-like systems, or by invoking -the utility with the \--help option. A brief summary of -usage is given by invoking the utility with the -h option. -The version of the utility is given by the \--version -option. - -The utilities all accept data on standard input, transform it in some -way, and print the results on standard output. This makes the utilities -easy to use within scripts to transform tabular data; however they can -also be used interactively, often with the input supplied via a pipe, -e.g., - - echo 38SMB4488 | GeoConvert -d - -Online versions of four of these utilities are provided: - - GeoConvert - - GeodSolve - - Planimeter - - GeoidEval - - RhumbSolve - -
-Back to \ref start. Forward to \ref organization. Up to \ref contents. -
- -**********************************************************************/ -/** -\page organization Code organization - -
-Back to \ref utilities. Forward to \ref other. Up to \ref contents. -
- -Here is a brief description of the relationship between the various -components of GeographicLib. All of these are defined in the -GeographicLib namespace. - -TransverseMercator, PolarStereographic, LambertConformalConic, and -AlbersEqualArea provide the basic projections. The constructors for -these classes specify the ellipsoid and the forward and reverse -projections are implemented as const member functions. -TransverseMercator uses Krüger's series which have been extended to -sixth order in the square of the eccentricity. PolarStereographic, -LambertConformalConic, and AlbersEqualArea use the exact formulas for -the projections (e.g., from Snyder). - -TransverseMercator::UTM and PolarStereographic::UPS are const static -instantiations specific for the WGS84 ellipsoid with the UTM and UPS -scale factors. (These do \e not add the standard false eastings or -false northings for UTM and UPS.) Similarly -LambertConformalConic::Mercator is a const static instantiation of this -projection for a WGS84 ellipsoid and a standard parallel of 0 (which -gives the Mercator projection). AlbersEqualArea::CylindricalEqualArea, -AzimuthalEqualAreaNorth, and AzimuthalEqualAreaSouth, likewise provide -special cases of the equal area projection. - -UTMUPS uses TransverseMercator::UTM and PolarStereographic::UPS to -perform the UTM and UPS projections. The class offers a uniform -interface to UTM and UPS by treating UPS as UTM zone 0. This class -stores no internal state and the forward and reverse projections are -provided via static member functions. The forward projection offers the -ability to override the standard UTM/UPS choice and the UTM zone. - -MGRS transforms between UTM/UPS coordinates and MGRS. -UPS coordinates are handled as UTM zone 0. This class stores no -internal state and the forward (UTM/UPS to MGRS) and reverse (MGRS to -UTM/UPS) conversions are provided via static member functions. - -GeoCoords holds a single geographic location which may be -specified as latitude and longitude, UTM or UPS, or MGRS. Member -functions are provided to convert between coordinate systems and to -provide formatted representations of them. -GeoConvert is a simple command line -utility to provide access to the GeoCoords class. - -TransverseMercatorExact is a drop in replacement for TransverseMercator -which uses the exact formulas, based on elliptic functions, for the -projection as given by Lee. -TransverseMercatorProj is a -simple command line utility to test to the TransverseMercator and -TransverseMercatorExact. - -Geodesic and GeodesicLine perform geodesic calculations. The -constructor for Geodesic specifies the ellipsoid and the direct and -inverse calculations are implemented as const member functions. -Geocentric::WGS84 is a const static instantiation of Geodesic specific -for the WGS84 ellipsoid. In order to perform a series of direct -geodesic calculations on a single line, the GeodesicLine class can be -used. This packages all the information needed to specify a geodesic. -A const member function returns the coordinates a specified distance -from the starting point. GeodSolve is a -simple command line utility to perform geodesic calculations. -PolygonAreaT is a class which compute the area of geodesic polygons -using the Geodesic class and Planimeter -is a command line utility for the same purpose. AzimuthalEquidistant, -CassiniSoldner, and Gnomonic are projections based on the Geodesic -class. GeodesicProj is a command line -utility to exercise these projections. - -GeodesicExact and GeodesicLineExact are drop in replacements for -Geodesic and GeodesicLine in which the solution is given in terms of -elliptic integrals (computed by EllipticFunction). These classes should -be used if the absolute value of the flattening exceeds 0.02. The -E -option to GeodSolve uses these classes. - -NearestNeighbor is a header-only class for efficiently \ref nearest of a -collection of points where the distance function obeys the triangle -inequality. The geodesic distance obeys this condition. - -Geocentric and LocalCartesian convert between -geodetic and geocentric or a local cartesian system. The constructor for -specifies the ellipsoid and the forward and reverse projections are -implemented as const member functions. Geocentric::WGS84 is a -const static instantiation of Geocentric specific for the WGS84 ellipsoid. -CartConvert is a simple command line -utility to provide access to these classes. - -Geoid evaluates geoid heights by interpolation. This is -provided by the operator() member function. -GeoidEval is a simple command line -utility to provide access to this class. This class requires -installation of data files for the various geoid models; see \ref -geoidinst for details. - -Ellipsoid is a class which performs latitude -conversions and returns various properties of the ellipsoid. - -GravityModel evaluates the earth's gravitational field using a -particular gravity model. Various member functions return the -gravitational field, the gravity disturbance, the gravity anomaly, and -the geoid height Gravity is a simple -command line utility to provide access to this class. If the field -several points on a circle of latitude are sought then use -GravityModel::Circle to return a GravityCircle object whose member -functions performs the calculations efficiently. (This is particularly -important for high degree models such as EGM2008.) These classes -requires installation of data files for the various gravity models; see -\ref gravityinst for details. NormalGravity computes the gravity of the -so-called level ellipsoid. - -MagneticModel evaluates the earth's magnetic field using a particular -magnetic model. The field is provided by the operator() member -function. MagneticField is a simple -command line utility to provide access to this class. If the field -several points on a circle of latitude are sought then use -MagneticModel::Circle to return a MagneticCircle object whose operator() -member function performs the calculation efficiently. (This is -particularly important for high degree models such as emm2010.) These -classes requires installation of data files for the various magnetic -models; see \ref magneticinst for details. - -Constants, Math, Utility, DMS, are general utility class which are used -internally by the library; in addition EllipticFunction is used by -TransverseMercatorExact, Ellipsoid, and GeodesicExact, and -GeodesicLineExact; Accumulator is used by PolygonAreaT, and -SphericalEngine, CircularEngine, SphericalHarmonic, SphericalHarmonic1, -and SphericalHarmonic2 facilitate the summation of spherical harmonic -series which is needed by and MagneticModel and MagneticCircle. One -important definition is Math::real which is the type used for real -numbers. This allows the library to be easily switched to using floats, -doubles, or long doubles. However all the testing has been with real -set to double and the library should be installed in this way. - -GeographicLib uniformly represents all angle-like variables (latitude, -longitude, azimuth) in terms of degrees. To convert from degrees to -radians, multiple the quantity by Math::degree(). To convert from -radians to degrees , divide the quantity by Math::degree(). - -In general, the constructors for the classes in GeographicLib check -their arguments and throw GeographicErr exceptions with a -explanatory message if these are illegal. The member functions, e.g., -the projections implemented by TransverseMercator and -PolarStereographic, the solutions to the geodesic problem, etc., -typically do not check their arguments; the calling program -should ensure that the arguments are legitimate. However, the functions -implemented by UTMUPS, MGRS, and GeoCoords do check their arguments and -may throw GeographicErr exceptions. Similarly Geoid may -throw exceptions on file errors. If a function does throw an exception, -then the function arguments used for return values will not have been -altered. - -GeographicLib attempts to act sensibly with NaNs. NaNs in constructors -typically throw errors (an exception is GeodesicLine). However, calling -the class functions with NaNs as arguments is not an error; NaNs are -returned as appropriate. "INV" is treated as an invalid zone -designation by UTMUPS. "INVALID" is the corresponding invalid MGRS -string (and similarly for GARS, Geohash, and Georef strings). NaNs -allow the projection of polylines which are separated by NaNs; in this -format they can be easily plotted in MATLAB. - -A note about portability. For the most part, the code uses standard C++ -and should be able to be deployed on any system with a modern C++ -compiler. System dependencies come into - - Math -- GeographicLib needs to define functions such - as atanh for systems that lack them. The system dependence will - disappear with the adoption of C++11 because the needed functions are - part of that standard. - - use of long double -- the type is used only for testing. On systems - which lack this data type the cmake and autoconf configuration - methods should detect its absence and omit the code that depends on - it. - - Geoid, GravityModel, and - MagneticModel -- these class uses system-dependent - default paths for looking up the respective datasets. It also relies - on getenv to find the value of the environment variables. - - Utility::readarray reads numerical data from binary - files. This assumes that floating point numbers are in IEEE format. - It attempts to handled the "endianness" of the target platform using - the GEOGRAPHICLIB_WORDS_BIGENDIAN macro (which sets the compile-time - constant Math::bigendian). - -An attempt is made to maintain backward compatibility with GeographicLib -(especially at the level of your source code). Sometimes it's necessary -to take actions that depend on what version of GeographicLib is being -used; for example, you may want to use a new feature of GeographicLib, -but want your code still to work with older versions. In that case, you -can test the values of the macros GEOGRAPHICLIB_VERSION_MAJOR, -GEOGRAPHICLIB_VERSION_MINOR, and GEOGRAPHICLIB_VERSION_PATCH; these -expand to numbers (and the last one is usually 0); these macros appeared -starting in version 1.31. There's also a macro -GEOGRAPHICLIB_VERSION_STRING which expands to, e.g., -"@PROJECT_VERSION@"; this macro has been defined since version 1.9. -Since version 1.37, there's also been a macro GEOGRAPHICLIB_VERSION -which encodes the version as a single number, e.g, 1003900. Do not rely -on this particular packing; instead use the macro -GEOGRAPHICLIB_VERSION_NUM(a,b,c) which allows you to compare versions -with, e.g., -\code -#if GEOGRAPHICLIB_VERSION >= GEOGRAPHICLIB_VERSION_NUM(1,37,0) -... -#endif \endcode - -
-Back to \ref utilities. Forward to \ref other. Up to \ref contents. -
- -**********************************************************************/ -/** -\page other Implementations in other languages - -
-Back to \ref organization. Forward to \ref geoid. Up to \ref contents. -
- -Various subsets of GeographicLib have been implemented in other -languages. In some cases, these are available as independent packages. -Here is a summary: -- C (geodesic routines): - - documentation, also included with recent versions of - - PROJ; -- Fortran (geodesic routines): - - documentation; -- Java (geodesic routines): - - Maven Central package, - - documentation; -- JavaScript (geodesic routines): - - npm package, - - documentation; -- Python (geodesic routines): - - PyPI package, - - documentation; -- MATLAB/Octave (geodesic and some other routines): - - MATLAB Central package, - - documentation; -- C# (.NET wrapper for C++ library): - - documentation. - -Some more details are available in the following sections -- \ref c-fortran -- \ref java. -- \ref javascript. -- \ref python. -- \ref matlab. -- \ref dotnet. -- \ref maxima. - -\section c-fortran C and Fortran implementation - -This includes the geodesic capabilities of GeographicLib. The source -code is in the directories legacy/C and -legacy/Fortran. These are intended for use in old codes -written in these languages and should work any reasonably modern -compiler. These implementations are entirely self-contained and do not -depend on the rest of GeographicLib. Sample main programs to solve the -direct and inverse geodesic problems and to compute polygonal areas are -provided. - -The C library is also included as part of -PROJ starting with -version 4.9.0, where it is used as the computational backend for -geod(1). - -For documentation, see - - C library for geodesics, - - Fortran library for geodesics. - -It is also possible to call the C++ version of GeographicLib directly -from C and the directory wrapper/C contains a small -example, which converts heights above the geoid to heights above the -ellipsoid. - -\section java Java implementation - -This includes the geodesic capabilities of GeographicLib. The source -code is in the directory java. This implementation is -entirely self-contained and does not depend on the rest of -GeographicLib. Sample main programs to solve the direct and inverse -geodesic problems and to compute polygonal areas are provided. - -This package is available on Maven Central; so if you're using Apache -Maven as your build system, you can use this package by including the -dependency \verbatim - - net.sf.geographiclib - GeographicLib-Java - @PROJECT_VERSION@ - - \endverbatim -in your pom.xml. - -For documentation, see - - Java library for geodesics. - -\section javascript JavaScript implementation - -This includes the geodesic capabilities of GeographicLib. The source -code is in the directory js. This implementation is -entirely self-contained and does not depend on the rest of -GeographicLib. - -The library is available as an - - npm package. -To install this package, use \verbatim - npm install geographiclib \endverbatim - -For documentation, see - - JavaScript library for geodesics. - -Examples of using this interface are -- a geodesic calculator showing - the solution of direct and inverse geodesic problem, finding - intermediate points on a geodesic line, and computing the area of a - geodesic polygon; -- displaying geodesics in Google - Maps which shows the geodesic, the geodesic circle, and various - geodesic envelopes. - -\section python Python implementation - -This includes the geodesic capabilities of GeographicLib. The source -code is in the directory python. This implementation is -entirely self-contained and does not depend on the rest of -GeographicLib. - -The library is available as an - - PyPI package. -To install this package, use \verbatim - pip install geographiclib \endverbatim - -For documentation, see - - Python library for geodesics. - -It is also possible to call the C++ version of GeographicLib directly -from Python and the directory wrapper/python contains a -small example, which converts heights above the geoid to heights above -the ellipsoid. - -\section matlab MATLAB and Octave implementations - -The includes the geodesic capabilities of GeographicLib and -implementations of the TransverseMercator, PolarStereographic, -AzimuthalEquidistant, CassiniSoldner, Gnomonic, UTMUPS, MGRS, Geocentric, -and LocalCartesian classes. In addition, it includes solutions of the -direct, inverse, and area problems for \ref greatellipse. Because these -functions are all vectorized, their performance is comparable to the C++ -routines. The minimum version numbers required are - - MATLAB, version 7.9, 2009b, - - Octave, version 3.4, Feb. 2011. - . -In addition, in order to use the geoid routines, Octave needs to have -been built with a version of GraphicsMagick which supports 16-bit -images. The source code is in the directory -matlab/geographiclib. This implementation is entirely -self-contained and does not depend on the rest of GeographicLib. - -The library is available as an MATLAB Central package, - - GeographicLib toolbox, - - documentation. - -A summary of the routines is obtained by \verbatim - help geographiclib \endverbatim - -Prior to version 1.42, GeographicLib was distributed with some MATLAB -functionality offered via compiled interface code. This has now been -replaced by native MATLAB wrapper functions in -matlab/geographiclib-legacy; these depend on the - -GeographicLib toolbox. -A summary of the routines is obtained by \verbatim - help geographiclib-legacy \endverbatim - -It is also possible to call the C++ version of GeographicLib directly -from MATLAB or Octave and the directory wrapper/matlab -contains a small example, which solves the inverse geodesic problem for -ellipsoids with arbitrary flattening. (This example is taken from the -MATLAB interface code which was provided prior to version 1.42.) - -\section dotnet .NET wrapper - -This is a comprehensive wrapper library, written and maintained by Scott -Heiman, which exposes all of the functionality of GeographicLib to the -.NET family of languages. For documentation, see - - NETGeographicLib .NET wrapper library. - -\section maxima Maxima routines - -Maxima is a free computer algebra system which can be downloaded from -http://maxima.sourceforge.net. Maxima was used to generate the series used by -TransverseMercator ( tmseries.mac), Geodesic -( geod.mac), Rhumb ( -rhumbarea.mac), \ref gearea ( gearea.mac), -the relation between \ref auxlat ( auxlat.mac), -and to generate accurate data for testing ( tm.mac -and geodesic.mac). The latter uses Maxima's -bigfloat arithmetic together with series extended to high order or -solutions in terms of elliptic integrals ( -ellint.mac). These files contain brief instructions on how to use -them. - -
-Back to \ref organization. Forward to \ref geoid. Up to \ref contents. -
- -**********************************************************************/ -/** -\page geoid Geoid height - -
-Back to \ref other. Forward to \ref gravity. Up to \ref contents. -
- -The gravitational equipotential surface approximately coinciding with -mean sea level is called the geoid. The Geoid class and -the GeoidEval utility evaluate the height -of the geoid above the WGS84 ellipsoid. This can be used to convert -heights above mean sea level to heights above the WGS84 ellipsoid. -Because the normal to the ellipsoid differs from the normal to the geoid -(the direction of a plumb line) there is a slight ambiguity in the -measurement of heights; however for heights up to 10 km this ambiguity -is only 1 mm. - -The geoid is usually approximated by an "earth gravity model" (EGM). -The models published by the NGA are: -- EGM84: - http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html -- EGM96: - http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html -- EGM2008: - http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008 -. -Geoid offers a uniform way to handle all 3 geoids at a variety of grid -resolutions. (In contrast, the software tools that NGA offers are -different for each geoid, and the interpolation programs are different -for each grid resolution. In addition these tools are written in -Fortran with is nowadays difficult to integrate with other software.) - -The height of the geoid above the ellipsoid, \e N, is sometimes called -the geoid undulation. It can be used to convert a height above the -ellipsoid, \e h, to the corresponding height above the geoid (the -orthometric height, roughly the height above mean sea level), \e H, -using the relations - -   \e h = \e N + \e H;   \e H = −\e N + \e h. - -Unlike other components of GeographicLib, there is a appreciable error -in the results obtained (at best, the RMS error is 1 mm). However the -class provides methods to report the maximum and RMS errors in the -results. The class also returns the gradient of the geoid. This can be -used to estimate the direction of a plumb line relative to the WGS84 -ellipsoid. - -The GravityModel class calculates geoid heights using the -underlying gravity model. This is slower then Geoid but -considerably more accurate. This class also can accurately compute all -the components of the acceleration due to gravity (and hence the -direction of plumb line). - -Go to - - \ref geoidinst - - \ref geoidformat - - \ref geoidinterp - - \ref geoidcache - - \ref testgeoid - -\section geoidinst Installing the geoid datasets - -The geoid heights are computed using interpolation into a rectangular -grid. The grids are read from data files which have been are computed -using the NGA synthesis programs in the case of the EGM84 and EGM96 -models and using the NGA binary gridded data files in the case of -EGM2008. These data files are available for download: -
- - - - - - - - - - - - - - - -
Available geoid data files
name geoid grid - size\n(MB) -
Download Links (size, MB)
tar fileWindows\n installerzip file
egm84-30 - EGM84 -
30'
-
0.6
-
- - link (0.5)
-
- - link (0.8)
-
- - link (0.5)
-
egm84-15 - EGM84 -
15'
-
2.1
-
- - link (1.5)
-
- - link (1.9)
-
- - link (2.0)
-
egm96-15 - EGM96 -
15'
-
2.1
-
- - link (1.5)
-
- - link (1.9)
-
- - link (2.0)
-
egm96-5 - EGM96 -
5'
-
19
-
- - link (11)
-
- - link (11)
-
- - link (17)
-
egm2008-5 - EGM2008 -
5'
-
19
-
- - link (11)
-
- - link (11)
-
- - link (17)
-
egm2008-2_5 - EGM2008 -
2.5'
-
75
-
- - link (35)
-
- - link (33)
-
- - link (65)
-
egm2008-1 - EGM2008 -
1'
-
470
-
- - link (170)
-
- - link (130)
-
- - link (390)
-
-
-The "size" column is the size of the uncompressed data and it also -gives the memory requirements for caching the entire dataset using the -Geoid::CacheAll method. -At a minimum you should install egm96-5 and either egm2008-1 or -egm2008-2_5. Many applications use the EGM96 geoid, however the use of -EGM2008 is growing. (EGM84 is rarely used now.) - -For Linux and Unix systems, GeographicLib provides a shell script -geographiclib-get-geoids (typically installed in /usr/local/sbin) which -automates the process of downloading and installing the geoid data. For -example -\verbatim - geographiclib-get-geoids best # to install egm84-15, egm96-5, egm2008-1 - geographiclib-get-geoids -h # for help -\endverbatim -This script should be run as a user with write access to the -installation directory, which is typically -/usr/local/share/GeographicLib (this can be overridden with the -p -flag), and the data will then be placed in the "geoids" subdirectory. - -Windows users should download and run the Windows installers. These -will prompt for an installation directory with the default being -\verbatim - C:/ProgramData/GeographicLib -\endverbatim -(which you probably should not change) and the data is installed in the -"geoids" sub-directory. (The second directory name is an alternate name -that Windows 7 uses for the "Application Data" directory.) - -Otherwise download \e either the tar.bz2 file \e or the zip file (they -have the same contents). If possible use the tar.bz2 files, since these -are compressed about 2 times better than the zip file. To unpack these, -run, for example -\verbatim - mkdir -p /usr/local/share/GeographicLib - tar xofjC egm96-5.tar.bz2 /usr/local/share/GeographicLib - tar xofjC egm2008-2_5.tar.bz2 /usr/local/share/GeographicLib - etc. -\endverbatim -and, again, the data will be placed in the "geoids" subdirectory. - -However you install the geoid data, all the datasets should -be installed in the same directory. Geoid and -GeoidEval uses a compile time default to -locate the datasets. This is -- /usr/local/share/GeographicLib/geoids, for non-Windows systems -- C:/ProgramData/GeographicLib/geoids, for Windows systems -. -consistent with the examples above. This may be overridden at run-time -by defining the GEOGRAPHICLIB_GEOID_PATH or the GEOGRAPHICLIB_DATA -environment variables; see Geoid::DefaultGeoidPath() for -details. Finally, the path may be set using the optional second -argument to the Geoid constructor or with the "-d" flag -to GeoidEval. Supplying the "-h" flag to -GeoidEval reports the default geoid path -for that utility. The "-v" flag causes GeoidEval to report the full -path name of the data file it uses. - -\section geoidformat The format of the geoid data files - -The gridded data used by the Geoid class is stored in -16-bit PGM files. Thus the data for egm96-5 might be stored in the file -- /usr/local/share/GeographicLib/geoids/egm96-5.pgm -. -PGM simple graphic format with the following properties -- it is well documented - here; -- there are no separate "little-endian" and "big-endian" versions; -- it uses 1 or 2 bytes per pixel; -- pixels can be randomly accessed; -- comments can be added to the file header; -- it is sufficiently simple that it can be easily read without using the - libnetpbm - library (and thus we avoid adding a software dependency to - GeographicLib). -. -The major drawback of this format is that since there are only 65535 -possible pixel values, the height must be quantized to 3 mm. However, -the resulting quantization error (up to 1.5 mm) is typically smaller -than the linear interpolation errors. The comments in the header for -egm96-5 are -\verbatim - # Geoid file in PGM format for the GeographicLib::Geoid class - # Description WGS84 EGM96, 5-minute grid - # URL http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html - # DateTime 2009-08-29 18:45:03 - # MaxBilinearError 0.140 - # RMSBilinearError 0.005 - # MaxCubicError 0.003 - # RMSCubicError 0.001 - # Offset -108 - # Scale 0.003 - # Origin 90N 0E - # AREA_OR_POINT Point - # Vertical_Datum WGS84 -\endverbatim -Of these lines, the Scale and Offset lines are required and define the -conversion from pixel value to height (in meters) using \e height = -\e offset + \e scale \e pixel. The Geoid constructor also reads the -Description, DateTime, and error lines (if present) and stores the -resulting data so that it can be returned by -Geoid::Description, Geoid::DateTime, -Geoid::MaxError, and Geoid::RMSError -methods. The other lines serve as additional documentation but are not -used by this class. Accompanying egm96-5.pgm (and similarly with the -other geoid data files) are two files egm96-5.wld and -egm96-5.pgm.aux.xml. The first is an ESRI "world" file and the second -supplies complete projection metadata for use by -GDAL. Neither of these files is read -by Geoid. - -You can use gdal_translate to convert the data files to a standard -GeoTiff, e.g., with -\verbatim - gdal_translate -ot Float32 -scale 0 65000 -108 87 egm96-5.pgm egm96-5.tif -\endverbatim -The arguments to -scale here are specific to the Offset and Scale -parameters used in the pgm file (note 65000 * 0.003 − 108 = 87). -You can check these by running GeoidEval -with the "-v" option. - -Here is a sample script which uses GDAL to create a 1-degree -squared grid of geoid heights at 3" resolution (matching DTED1) by -bilinear interpolation. -\verbatim - #! /bin/sh - lat=37 - lon=067 - res=3 # resolution in seconds - TEMP=`mktemp junkXXXXXXXXXX` # temporary file for GDAL - gdalwarp -q -te `echo $lon $lat $res | awk '{ - lon = $1; lat = $2; res = $3; - printf "%.14f %.14f %.14f %.14f", - lon -0.5*res/3600, lat -0.5*res/3600, - lon+1+0.5*res/3600, lat+1+0.5*res/3600; - }'` -ts $((3600/res+1)) $((3600/res+1)) -r bilinear egm96-5.tif $TEMP - gdal_translate -quiet \ - -mo AREA_OR_POINT=Point \ - -mo Description="WGS84 EGM96, $res-second grid" \ - -mo Vertical_Datum=WGS84 \ - -mo Tie_Point_Location=pixel_corner \ - $TEMP e$lon-n$lat.tif - rm -f $TEMP -\endverbatim - -Because the pgm files are uncompressed, they can take up a lot of disk -space. Some compressed formats compress in tiles and so might be -compatible with the requirement that the data can be randomly accessed. -In particular gdal_translate can be used to convert the pgm files to -compressed tiff files with -\verbatim -gdal_translate -co COMPRESS=LZW -co PREDICTOR=2 \ - -co TILED=YES -co BLOCKXSIZE=256 -co BLOCKYSIZE=256 \ - egmyy-g.pgm egmyy-g.tif -\endverbatim -The resulting files sizes are -\verbatim - pgm tif - egm84-30 0.6 MB 0.5 MB - egm84-15 2.1 MB 1.4 MB - egm96-15 2.1 MB 1.5 MB - egm96-5 19 MB 8.5 MB - egm2008-5 19 MB 9.8 MB - egm2008-2_5 75 MB 28 MB - egm2008-1 470 MB 97 MB -\endverbatim -Currently, there are no plans for GeographicLib to support this -compressed format. - -The Geoid class only handles world-wide geoid models. The pgm provides -geoid height postings on grid of points with uniform spacing in latitude -(row) and longitude (column). If the dimensions of the pgm file are -\e h × \e w, then latitude (resp. longitude) spacing is -−180°/(\e h − 1) (resp. 360°/\e w), with the (0,0) -pixel given the value at φ = 90°, λ = 0°. Models -covering a limited area will need to be "inserted" into a world-wide -grid before being accessible to the Geoid class. - -\section geoidinterp Interpolating the geoid data - -Geoid evaluates the geoid height using bilinear or cubic -interpolation. - -The bilinear interpolation is based on the values at the 4 corners of -the enclosing cell. The interpolated height is a continuous function of -position; however the gradient has discontinuities are cell boundaries. -The quantization of the data files exacerbates the errors in the -gradients. - -The cubic interpolation is a least-squares fit to the values on a -12-point stencil with weights as follows: -\verbatim - . 1 1 . - 1 2 2 1 - 1 2 2 1 - . 1 1 . -\endverbatim -The cubic is constrained to be independent of longitude when evaluating -the height at one of the poles. Cubic interpolation is considerably -more accurate than bilinear interpolation; however, in this -implementation there are small discontinuities in the heights are cell -boundaries. The over-constrained cubic fit slightly reduces the -quantization errors on average. - -The algorithm for the least squares fit is taken from, F. H. Lesh, -Multi-dimensional -least-squares polynomial curve fitting, CACM 2, 29--30 (1959). -This algorithm is not part of Geoid; instead it is implemented as -Maxima -code which is used to precompute the matrices to convert the function -values on the stencil into the coefficients from the cubic polynomial. -This code is included as a comment in Geoid.cpp. - -The interpolation methods are quick and give good accuracy. Here is a -summary of the combined quantization and interpolation errors for the -heights. -
- - - - - - - - - - - - -
Interpolation and quantization errors for geoid heights
name - geoid - grid -
bilinear error
cubic error
max
rms
-
max
rms
-
egm84-30 EGM84
30'
-
1.546 m
70 mm
-
0.274 m
14 mm
-
egm84-15 EGM84
15'
-
0.413 m
18 mm
-
0.021 m
1.2 mm
-
egm96-15 EGM96
15'
-
1.152 m
40 mm
-
0.169 m
7.0 mm
-
egm96-5 EGM96
5'
-
0.140 m
4.6 mm
-
0.0032 m
0.7 mm
-
egm2008-5 EGM2008
5'
-
0.478 m
12 mm
-
0.294 m
4.5 mm
-
egm2008-2_5EGM2008
2.5'
-
0.135 m
3.2 mm
-
0.031 m
0.8 mm
-
egm2008-1 EGM2008
1'
-
0.025 m
0.8 mm
-
0.0022 m
0.7 mm
-
-The errors are with respect to the specific NGA earth gravity model -(not to any "real" geoid). The RMS values are obtained using 5 million -uniformly distributed random points. The maximum values are obtained by -evaluating the errors using a different grid with points at the -centers of the original grid. (The RMS difference between EGM96 and -EGM2008 is about 0.5 m. The RMS difference between EGM84 and EGM96 is -about 1.5 m.) - -The errors in the table above include the quantization errors that arise -because the height data that Geoid uses are quantized to -3 mm. If, instead, Geoid were to use data files without -such quantization artifacts, the overall error would be reduced but -only modestly as shown in the following table, where only the -changed rows are included and where the changed entries are given in -bold: -
- - - - - - - - -
Interpolation (only!) errors for geoid heights
name - geoid - grid -
bilinear error
cubic error
max
rms
-
max
rms
-
egm96-5 EGM96
5'
-
0.140 m
4.6 mm
-
0.0026 m
0.1 mm
-
egm2008-2_5EGM2008
2.5'
-
0.135 m
3.2 mm
-
0.031 m
0.4 mm
-
egm2008-1 EGM2008
1'
-
0.025 m
0.6 mm
-
0.0010 m
0.011 mm
-
- -\section geoidcache Caching the geoid data - -A simple way of calling Geoid is as follows -\code - #include - #include - ... - GeographicLib::Geoid g("egm96-5"); - double lat, lon; - while (std::cin >> lat >> lon) - std::cout << g(lat, lon) << "\n"; - ... -\endcode - -The first call to g(lat, lon) causes the data for the stencil points (4 -points for bilinear interpolation and 12 for cubic interpolation) to be -read and the interpolated value returned. A simple 0th-order caching -scheme is provided by default, so that, if the second and subsequent -points falls within the same grid cell, the data values are not reread -from the file. This is adequate for most interactive use and also -minimizes disk accesses for the case when a continuous track is being -followed. - -If a large quantity of geoid calculations are needed, the calculation -can be sped up by preloading the data for a rectangular block with -Geoid::CacheArea or the entire dataset with -Geoid::CacheAll. If the requested points lie within the -cached area, the cached data values are used; otherwise the data is read -from disk as before. Caching all the data is a reasonable choice for -the 5' grids and coarser. Caching all the data for the 1' grid will -require 0.5 GB of RAM and should only be used on systems with sufficient -memory. - -The use of caching does not affect the values returned. Because of the -caching and the random file access, this class is \e not normally thread -safe; i.e., a single instantiation cannot be safely used by multiple -threads. If multiple threads need to calculate geoid heights, there are -two alternatives: - - they should all construct thread-local instantiations. - - Geoid should be constructed with \e threadsafe = true. - This causes all the data to be read at the time of construction (and - if this fails, an exception is thrown), the data file to be closed - and the single-cell caching to be turned off. The resulting object - may then be shared safely between threads. - -\section testgeoid Test data for geoids - -A test set for the geoid models is available at - - - GeoidHeights.dat.gz - . -This is about 11 MB (compressed). This test set consists of a set of -500000 geographic coordinates together with the corresponding geoid -heights according to various earth gravity models. - -Each line of the test set gives 6 space delimited numbers - - latitude (degrees, exact) - - longitude (degrees, exact) - - EGM84 height (meters, accurate to 1 μm) - - EGM96 height (meters, accurate to 1 μm) - - EGM2008 height (meters, accurate to 1 μm) - . -The latitude and longitude are all multiples of 10−6 -deg and should be regarded as exact. The geoid heights are computed -using the harmonic NGA synthesis programs, where the programs were -compiled (with gfortran) and run under Linux. In the case of the -EGM2008 program, a SAVE statement needed to be added to -subroutine latf, in order for the program to compile -correctly with a stack-based compiler. Similarly the EGM96 code -requires a SAVE statement in subroutine -legfdn. - -
-Back to \ref other. Forward to \ref gravity. Up to \ref contents. -
- -**********************************************************************/ -/** -\page gravity Gravity models - -
-Back to \ref geoid. Forward to \ref normalgravity. Up to \ref contents. -
- -GeographicLib can compute the earth's gravitational field with an earth -gravity model using the GravityModel and GravityCircle classes and with -the Gravity utility. These models expand -the gravitational potential of the earth as sum of spherical harmonics. -The models also specify a reference ellipsoid, relative to which geoid -heights and gravity disturbances are measured. Underlying all these -models is normal gravity which is the exact solution for an -idealized rotating ellipsoidal body. This is implemented with the -NormalGravity class and some notes on are provided in section \ref -normalgravity - -Go to - - \ref gravityinst - - \ref gravityformat - - \ref gravitynga - - \ref gravitygeoid - - \ref gravityatmos - - \ref gravityparallel - - \ref normalgravity (now on its own page) - -The supported models are - - egm84, the - - Earth Gravity Model 1984, which includes terms up to degree 180. - - egm96, the - - Earth Gravity Model 1996, which includes terms up to degree 360. - - egm2008, the - - Earth Gravity Model 2008, which includes terms up to degree 2190. - - wgs84, the - - WGS84 Reference Ellipsoid. This is just reproduces the normal - gravitational field for the reference ellipsoid. This includes the - zonal coefficients up to order 20. Usually NormalGravity::WGS84() - should be used instead. - - grs80, the - GRS80 Reference Ellipsoid. This is just reproduces the normal - gravitational field for the GRS80 ellipsoid. This includes the - zonal coefficients up to order 20. Usually NormalGravity::GRS80() - should be used instead. - -See - - W. A. Heiskanen and H. Moritz, Physical Geodesy (Freeman, San - Francisco, 1967). - . -for more information. - -Acknowledgment: I would like to thank Mathieu Peyréga for -sharing EGM_Geoid_CalculatorClass from his Geo library with me. His -implementation was the first I could easily understand and he and I -together worked through some of the issues with overflow and underflow -the occur while performing high-degree spherical harmonic sums. - -\section gravityinst Installing the gravity models - -These gravity models are available for download: -
- - - - - - - - - - - - -
Available gravity models
name max\n degree - size\n(kB) -
Download Links (size, kB)
tar fileWindows\n installerzip file
egm84 -
180
-
27
-
- - link (26)
-
- - link (55)
-
- - link (26)
-
egm96 -
360
-
2100
-
- - link (2100)
-
- - link (2300)
-
- - link (2100)
-
egm2008 -
2190
-
76000
-
- - link (75000)
-
- - link (72000)
-
- - link (73000)
-
wgs84 -
20
-
1
-
- - link (1)
-
- - link (30)
-
- - link (1)
-
-
-The "size" column is the size of the uncompressed data. - -For Linux and Unix systems, GeographicLib provides a shell script -geographiclib-get-gravity (typically installed in /usr/local/sbin) -which automates the process of downloading and installing the gravity -models. For example -\verbatim - geographiclib-get-gravity all # to install egm84, egm96, egm2008, wgs84 - geographiclib-get-gravity -h # for help -\endverbatim -This script should be run as a user with write access to the -installation directory, which is typically -/usr/local/share/GeographicLib (this can be overridden with the -p -flag), and the data will then be placed in the "gravity" subdirectory. - -Windows users should download and run the Windows installers. These -will prompt for an installation directory with the default being -\verbatim - C:/ProgramData/GeographicLib -\endverbatim -(which you probably should not change) and the data is installed in the -"gravity" sub-directory. (The second directory name is an alternate name -that Windows 7 uses for the "Application Data" directory.) - -Otherwise download \e either the tar.bz2 file \e or the zip file (they -have the same contents). To unpack these, run, for example -\verbatim - mkdir -p /usr/local/share/GeographicLib - tar xofjC egm96.tar.bz2 /usr/local/share/GeographicLib - tar xofjC egm2008.tar.bz2 /usr/local/share/GeographicLib - etc. -\endverbatim -and, again, the data will be placed in the "gravity" subdirectory. - -However you install the gravity models, all the datasets should be -installed in the same directory. GravityModel and -Gravity uses a compile time default to -locate the datasets. This is -- /usr/local/share/GeographicLib/gravity, for non-Windows systems -- C:/ProgramData/GeographicLib/gravity, for Windows systems -. -consistent with the examples above. This may be overridden at run-time -by defining the GEOGRAPHICLIB_GRAVITY_PATH or the GEOGRAPHICLIB_DATA -environment variables; see -GravityModel::DefaultGravityPath() for details. Finally, -the path may be set using the optional second argument to the -GravityModel constructor or with the "-d" flag to -Gravity. Supplying the "-h" flag to -Gravity reports the default path for -gravity models for that utility. The "-v" flag causes Gravity to report -the full path name of the data file it uses. - -\section gravityformat The format of the gravity model files - -The constructor for GravityModel reads a file called -NAME.egm which specifies various properties for the gravity model. It -then opens a binary file NAME.egm.cof to obtain the coefficients of the -spherical harmonic sum. - -The first line of the .egm file must consist of "EGMF-v" where EGMF -stands for "Earth Gravity Model Format" and v is the version number of -the format (currently "1"). - -The rest of the File is read a line at a time. A # character and -everything after it are discarded. If the result is just white space it -is discarded. The remaining lines are of the form "KEY WHITESPACE -VALUE". In general, the KEY and the VALUE are case-sensitive. - -GravityModel only pays attention to the following -keywords - - keywords that affect the field calculation, namely: - - ModelRadius (required), the normalizing radius for the model - in meters. - - ReferenceRadius (required), the equatorial radius \e a for - the reference ellipsoid meters. - - ModelMass (required), the mass constant \e GM for the model - in meters3/seconds2. - - ReferenceMass (required), the mass constant \e GM for the - reference ellipsoid in meters3/seconds2. - - AngularVelocity (required), the angular velocity ω for - the model \e and the reference ellipsoid in rad - seconds−1. - - Flattening, the flattening of the reference ellipsoid; this - can be given a fraction, e.g., 1/298.257223563. One of - Flattening and DynamicalFormFactor is required. - - DynamicalFormFactor, the dynamical form factor - J2 for the reference ellipsoid. One of - Flattening and DynamicalFormFactor is required. - - HeightOffset (default 0), the constant height offset - (meters) added to obtain the geoid height. - - CorrectionMultiplier (default 1), the multiplier for the - "zeta-to-N" correction terms for the geoid height to convert them - to meters. - - Normalization (default full), the normalization used for the - associated Legendre functions (full or schmidt). - - ID (required), 8 printable characters which serve as a - signature for the .egm.cof file (they must appear as the first 8 - bytes of this file). - . - The parameters ModelRadius, ModelMass, and - AngularVelocity apply to the gravity model, while - ReferenceRadius, ReferenceMass, AngularVelocity, - and either Flattening or DynamicalFormFactor - characterize the reference ellipsoid. AngularVelocity - (because it can be measured precisely) is the same for the gravity - model and the reference ellipsoid. ModelRadius is merely a - scaling parameter for the gravity model and there's no requirement - that it be close to the equatorial radius of the earth (although - that's typically how it is chosen). ModelMass and - ReferenceMass need not be the same and, indeed, they are - slightly difference for egm2008. As a result the disturbing - potential \e T has a 1/\e r dependence at large distances. - - keywords that store data that the user can query: - - Name, the name of the model. - - Description, a more descriptive name of the model. - - ReleaseDate, when the model was created. - - keywords that are examined to verify that their values are valid: - - ByteOrder (default little), the order of bytes in the - .egm.cof file. Only little endian is supported at present. - . -Other keywords are ignored. - -The coefficient file NAME.egm.cof is a binary file in little endian -order. The first 8 bytes of this file must match the ID given in -NAME.egm. This is followed by 2 sets of spherical harmonic -coefficients. The first of these gives the gravity potential and the -second gives the zeta-to-N corrections to the geoid height. The format -for each set of coefficients is: - - \e N, the maximum degree of the sum stored as a 4-byte signed integer. - This must satisfy \e N ≥ −1. - - \e M, the maximum order of the sum stored as a 4-byte signed integer. - This must satisfy \e N ≥ \e M ≥ −1. - - Cnm, the coefficients of the cosine - coefficients of the sum in column (i.e., \e m) major order. There - are (\e M + 1) (2\e N - \e M + 2) / 2 elements which are stored as - IEEE doubles (8 bytes). For example for \e N = \e M = 3, there are - 10 coefficients arranged as - C00, - C10, - C20, - C30, - C11, - C21, - C31, - C22, - C32, - C33. - - Snm, the coefficients of the sine - coefficients of the sum in column (i.e., \e m) major order starting - at \e m = 1. There are \e M (2\e N - \e M + 1) / 2 elements which - are stored as IEEE doubles (8 bytes). For example for \e N = \e M = - 3, there are 6 coefficients arranged as - S11, - S21, - S31, - S22, - S32, - S33. - . -Although the coefficient file is in little endian order, GeographicLib -can read it on big endian machines. It can only be read on machines -which store doubles in IEEE format. - -As an illustration, here is egm2008.egm: -\verbatim -EGMF-1 -# An Earth Gravity Model (Format 1) file. For documentation on the -# format of this file see -# https://geographiclib.sourceforge.io/html/gravity.html#gravityformat -Name egm2008 -Publisher National Geospatial Intelligence Agency -Description Earth Gravity Model 2008 -URL http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008 -ReleaseDate 2008-06-01 -ConversionDate 2011-11-19 -DataVersion 1 -ModelRadius 6378136.3 -ModelMass 3986004.415e8 -AngularVelocity 7292115e-11 -ReferenceRadius 6378137 -ReferenceMass 3986004.418e8 -Flattening 1/298.257223563 -HeightOffset -0.41 - -# Gravitational and correction coefficients taken from -# EGM2008_to2190_TideFree and Zeta-to-N_to2160_egm2008 from -# the egm2008 distribution. -ID EGM2008A -\endverbatim - -The code to produce the coefficient files for the wgs84 and grs80 models -is -\include make-egmcof.cpp - -\section gravitynga Comments on the NGA harmonic synthesis code - -GravityModel attempts to reproduce the results of NGA's -harmonic synthesis code for EGM2008, hsynth_WGS84.f. Listed here are -issues that I encountered using the NGA code: - -# A compiler which allocates local variables on the stack produces an - executable with just returns NaNs. The problem here is a missing - SAVE statement in subroutine latf. - -# Because the model and references masses for egm2008 differ (by about - 1 part in 109), there should be a 1/\e r contribution to - the disturbing potential \e T. However, this term is set to zero in - hsynth_WGS84 (effectively altering the normal potential). This - shifts the surface \e W = U0 outward by about - 5 mm. Note too that the reference ellipsoid is no longer a - level surface of the effective normal potential. - -# Subroutine radgrav computes the ellipsoidal coordinate - β incorrectly. This leads to small errors in the deflection - of the vertical, ξ and η, when the height above the - ellipsoid, \e h, is non-zero (about 10−7 arcsec at - \e h = 400 km). - -# There are several expressions which will return inaccurate results - due to cancellation. For example, subroutine grs - computes the flattening using \e f = 1 − sqrt(1 − - e2). Much better is to use \e f = - e2/(1 + sqrt(1 − e2)). The - expressions for \e q and \e q' in grs and - radgrav suffer from similar problems. The resulting - errors are tiny (about 50 pm in the geoid height); however, given - that's there's essentially no cost to using more accurate - expressions, it's preferable to do so. - -# hsynth_WGS84 returns an "undefined" value for \e xi and \e eta at the - poles. Better would be to return the value obtained by taking the - limit \e lat → ± 90°. - . -Issues 1--4 have been reported to the authors of hsynth_WGS84. -Issue 1 is peculiar to Fortran and is not encountered in C++ code and -GravityModel corrects issues 3--5. On issue 2, -GravityModel neglects the 1/\e r term in \e T in -GravityModel::GeoidHeight and -GravityModel::SphericalAnomaly in order to produce -results which match NGA's for these quantities. On the other hand, -GravityModel::Disturbance and -GravityModel::T do include this term. - -\section gravitygeoid Details of the geoid height and anomaly calculations - -Ideally, the geoid represents a surface of constant gravitational -potential which approximates mean sea level. In reality some -approximations are taken in determining this surface. The steps taking -by GravityModel in computing the geoid height are -described here (in the context of EGM2008). This mimics NGA's code -hsynth_WGS84 closely because most users of EGM2008 use the gridded data -generated by this code (e.g., Geoid) and it is desirable -to use a consistent definition of the geoid height. - - The model potential is band limited; the minimum wavelength that is - represented is 360°/2160 = 10' (i.e., about 10NM or - 18.5km). The maximum degree for the spherical harmonic sum is 2190; - however the model was derived using ellipsoidal harmonics of degree - and order 2160 and the degree was increased to 2190 in order to - capture the ellipsoidal harmonics faithfully with spherical - harmonics. - - The 1/\e r term is omitted from the \e T (this is issue 2 in \ref - gravitynga). This moves the equipotential surface by about 5mm. - - The surface \e W = U0 is determined by Bruns' - formula, which is roughly equivalent to a single iteration of - Newton's method. The RMS error in this approximation is about 1.5mm - with a maximum error of about 10 mm. - - The model potential is only valid above the earth's surface. A - correction therefore needs to be included where the geoid lies - beneath the terrain. This is NGA's "zeta-to-N" correction, which is - represented by a spherical harmonic sum of degree and order 2160 (and - so it misses short wavelength terrain variations). In addition, it - entails estimating the isostatic equilibrium of the earth's crust. - The correction lies in the range [−5.05 m, 0.05 m], - however for 99.9% of the earth's surface the correction is less than - 10 mm in magnitude. - - The resulting surface lies above the observed mean sea level, - so −0.41m is added to the geoid height. (Better would be to change - the potential used to define the geoid; but this would only change - the result by about 2mm.) - . -A useful discussion of the problems with defining a geoid is given by -Dru A. Smith in - -There is no such thing as "The" EGM96 geoid: Subtle points on the use of -a global geopotential model, IGeS Bulletin No. 8, International -Geoid Service, Milan, Italy, pp. 17--28 (1998). - -GravityModel::GeoidHeight reproduces the results of the -several NGA codes for harmonic synthesis with the following maximum -discrepancies: - - egm84 = 1.1mm. This is probably due to inconsistent parameters for the - reference ellipsoid in the NGA code. (In particular, the value of - mass constant excludes the atmosphere; however, it's not clear - whether the other parameters have been correspondingly adjusted.) - Note that geoid heights predicted by egm84 differ from those of more - recent gravity models by about 1 meter. - - egm96 = 23nm. - - egm2008 = 78pm. After addressing some of the issues alluded to in - issue 4 in \ref gravitynga, the maximum discrepancy becomes 23pm. - -The formula for the gravity anomaly vector involves computing gravity -and normal gravity at two different points (with the displacement -between the points unknown ab initio). Since the gravity anomaly -is already a small quantity it is sometimes acceptable to employ -approximations that change the quantities by \e O(\e f). The NGA code -uses the spherical approximation described by Heiskanen and Moritz, -Sec. 2-14 and GravityModel::SphericalAnomaly uses the -same approximation for compatibility. In this approximation, the -gravity disturbance delta = grad \e T is calculated. -Here, \e T once again excludes the 1/\e r term (this is issue 2 in \ref -gravitynga and is consistent with the computation of the geoid height). -Note that delta compares the gravity and the normal gravity at -the \e same point; the gravity anomaly vector is then found by -estimating the gradient of the normal gravity in the limit that the -earth is spherically symmetric. delta is expressed in \e -spherical coordinates as \e deltax, \e deltay, \e deltaz where, for -example, \e deltaz is the \e radial component of delta (not the -component perpendicular to the ellipsoid) and \e deltay is similarly -slightly different from the usual northerly component. The components -of the anomaly are then given by - - gravity anomaly, \e Dg01 = \e deltaz − 2T/\e R, where \e R - distance to the center of the earth; - - northerly component of the deflection of the vertical, \e xi = − - deltay/\e gamma, where \e gamma is the magnitude of the normal - gravity; - - easterly component of the deflection of the vertical, \e eta = − - deltax/\e gamma. - . -NormalGravity computes the normal gravity accurately and -avoids issue 3 of \ref gravitynga. Thus while -GravityModel::SphericalAnomaly reproduces the results for -\e xi and \e eta at \e h = 0, there is a slight discrepancy if \e h is -non-zero. - -\section gravityatmos The effect of the mass of the atmosphere - -All of the supported models use WGS84 for the reference ellipsoid. This -has (see - -TR8350.2, table 3.1) - - \e a = 6378137 m - - \e f = 1/298.257223563 - - ω = 7292115 × 10−11 rad - s−1 - - \e GM = 3986004.418 × 108 m3 - s−2. - . -The value of \e GM includes the mass of the atmosphere and so strictly -only applies above the earth's atmosphere. Near the surface of the -earth, the value of \e g will be less (in absolute value) than the value -predicted by these models by about δ\e g = (4πG/\e -g) \e A = 8.552 × 10−11 \e -A m2/kg, where \e G is the gravitational constant, \e g -is the earth's gravity, and \e A is the pressure of the atmosphere. At -sea level we have \e A = 101.3 kPa, and δ\e g = -8.7 × 10−6 m s−2, -approximately. (In other words the effect is about 1 part in a -million; by way of comparison, buoyancy effects are about 100 times -larger.) - -\section gravityparallel Geoid heights on a multi-processor system - -The egm2008 model includes many terms (over 2 million spherical -harmonics). For that reason computations using this model may be slow; -for example it takes about 78 ms to compute the geoid height at a single -point. There are two ways to speed up this computation: - - Use a GravityCircle to compute the geoid height at - several points on a circle of latitude. This reduces the cost per - point to about 92 μs (a reduction by a factor of over 800). - - Compute the values on several circles of latitude in parallel. One - of the simplest ways of doing this is with - OpenMP; on an 8-processor system, - this can speed up the computation by another factor of 8. - . -Both of these techniques are illustrated by the following code, -which computes a table of geoid heights on -a regular grid and writes on the result in a -.gtx -file. On an 8-processor Intel 2.66 GHz machine using OpenMP -(-DHAVE_OPENMP=1), it takes about 40 minutes of elapsed time to compute -the geoid height for EGM2008 on a 1' grid. (Without these -optimizations, the computation would have taken about 200 days!) -\include GeoidToGTX.cpp - -cmake will add in support for OpenMP for -examples/GeoidToGTX.cpp, if it is available. - -
-Back to \ref geoid. Forward to \ref normalgravity. Up to \ref contents. -
- -**********************************************************************/ -/** -\page normalgravity Normal gravity - -
-Back to \ref gravity. Forward to \ref magnetic. Up to \ref contents. -
- -The NormalGravity class computes "normal gravity" which refers to the -exact (classical) solution of an idealised system consisting of an -ellipsoid of revolution with the following properties: - - \e M the mass interior to the ellipsoid, - - \e a the equatorial radius, - - \e b the polar semi-axis, - - ω the rotation rate about the polar axis. - . -(N.B. The mass always appears in the combination \e GM, with units -m3/s2, where \e G is the gravtitational constant.) -The distribution of the mass \e M within the ellipsoid is such that the -surface of the ellipsoid is at a constant normal potential where the -normal potential is the sum of the gravitational potential (due to the -gravitational attraction) and the centrifugal potential (due to the -rotation). The resulting field exterior to the ellipsoid is called -normal gravity and was found by Somigliana (1929). Because the -potential is constant on the ellipsoid it is sometimes referred to as -the level ellipsoid. - -Go to - - \ref normalgravcoords - - \ref normalgravpot - - \ref normalgravmass - - \ref normalgravsurf - - \ref normalgravmean - - \ref normalgravj2 - -References: - - C. Somigliana, Teoria generale del campo gravitazionale dell'ellissoide - di rotazione, Mem. Soc. Astron. Ital, 4, 541--599 (1929). - - W. A. Heiskanen and H. Moritz, Physical Geodesy (Freeman, San - Francisco, 1967), Secs. 1-19, 2-7, 2-8 (2-9, 2-10), 6-2 (6-3). - - B. Hofmann-Wellenhof, H. Moritz, Physical Geodesy (Second edition, - Springer, 2006). https://doi.org/10.1007/978-3-211-33545-1 - - H. Moritz, Geodetic Reference System 1980, J. Geodesy 54(3), 395--405 - (1980). https://doi.org/10.1007/BF02521480 - - H. Moritz, The Figure of the Earth (Wichmann, 1990). - - M. Chasles, Solution nouvelle du problème de l’attraction d’un - ellipsoïde hétérogène sur un point - exterieur, Jour. Liouville 5, 465--488 (1840), Note 2. - http://sites.mathdoc.fr/JMPA/PDF/JMPA_1840_1_5_A41_0.pdf - -\section normalgravcoords Ellipsoidal coordinates - -Two set of formulas are presented: those of Heiskanen and Moritz (1967) -which are applicable to an oblate ellipsoid and a second set where the -variables are distinguished with primes which apply to a prolate -ellipsoid. The primes are omitted from those variables which are the -same in the two cases. In the text, the parenthetical "alt." clauses -apply to prolate ellipsoids. - -Cylindrical coordinates \f$ R,Z \f$ are expressed in terms of -ellipsoidal coordinates -\f[ -\begin{align} - R &= \sqrt{u^2 + E^2} \cos\beta = u' \cos\beta,\\ - Z &= u \sin\beta = \sqrt{u'^2 + E'^2} \sin\beta, -\end{align} -\f] -where -\f[ -\begin{align} - E^2 = a^2 - b^2,&{} \qquad u^2 = u'^2 + E'^2,\\ - E'^2 = b^2 - a^2,&{} \qquad u'^2 = u^2 + E^2. -\end{align} -\f] -Surfaces of constant \f$ u \f$ (or \f$ u' \f$) are confocal ellipsoids. -The surface \f$ u = 0 \f$ (alt. \f$ u' = 0 \f$) corresponds to the -focal disc of diameter \f$ 2E \f$ (alt. focal rod of length -\f$ 2E' \f$). The level ellipsoid is given by \f$ u = b \f$ -(alt. \f$ u' = a \f$). On the level ellipsoid, \f$ \beta \f$ is the -familiar parametric latitude. - -In writing the potential and the gravity, it is useful to introduce the -functions -\f[ -\begin{align} - Q(z) &= \frac1{2z^3} - \biggl[\biggl(1 + \frac3{z^2}\biggr)\tan^{-1}z - \frac3z\biggr],\\ - Q'(z') &= \frac{(1+z'^2)^{3/2}}{2z'^3} - \biggl[\biggl(2 + \frac3{z'^2}\biggr)\sinh^{-1}z' - - \frac{3\sqrt{1+z'^2}}{z'}\biggr],\\ - H(z) &= \biggl(3Q(z)+z\frac{dQ(z)}{dz}\biggr)(1+z^2)\\ - &= \frac1{z^4}\biggl[3(1+z^2) - \biggl(1-\frac{\tan^{-1}z}z\biggr)-z^2\biggr],\\ - H'(z') &= \frac{3Q'(z')}{1+z'^2}+z'\frac{dQ'(z')}{dz'}\\ - &= \frac{1+z'^2}{z'^4} - \biggl[3\biggl(1-\frac{\sqrt{1+z'^2}\sinh^{-1}z'}{z'}\biggr) - +z'^2\biggr]. -\end{align} -\f] -The function arguments are \f$ z = E/u \f$ -(alt. \f$ z' = E'/u' \f$) and the unprimed and primed quantities are -related by -\f[ -\begin{align} -Q'(z') = Q(z),&{} \qquad H'(z') = H(z),\\ -z'^2 = -\frac{z^2}{1 + z^2},&{} \qquad z^2 = -\frac{z'^2}{1 + z'^2}. -\end{align} -\f] -The functions \f$ q(u) \f$ and \f$ q'(u) \f$ used by Heiskanen and -Moritz are given by -\f[ - q(u) = \frac{E^3}{u^3}Q\biggl(\frac Eu\biggr),\qquad - q'(u) = \frac{E^2}{u^2}H\biggl(\frac Eu\biggr). -\f] -The functions \f$ Q(z) \f$, \f$ Q'(z') \f$, \f$ H(z) \f$, and -\f$ H'(z') \f$ are more convenient for use in numerical codes because -they are finite in the spherical limit \f$ E \rightarrow 0 \f$, i.e., -\f$ Q(0) = Q'(0) = \frac2{15} \f$, and \f$ H(0) = H'(0) = \frac25 \f$. - -\section normalgravpot The normal potential - -The normal potential is the sum of three components, a mass term, a -quadrupole term and a centrifugal term, -\f[ U = U_m + U_q + U_r. \f] -The mass term is -\f[ U_m = \frac {GM}E \tan^{-1}\frac Eu - = \frac {GM}{E'} \sinh^{-1}\frac{E'}{u'}; \f] -the quadrupole term is -\f[ -\begin{align} - U_q &= \frac{\omega^2}2 \frac{a^2 b^3}{u^3} \frac{Q(E/u)}{Q(E/b)} - \biggl(\sin^2\beta-\frac13\biggr)\\ - &= \frac{\omega^2}2 \frac{a^2 b^3}{(u'^2+E'^2)^{3/2}} - \frac{Q'(E'/u')}{Q'(E'/a)} - \biggl(\sin^2\beta-\frac13\biggr); -\end{align} -\f] -finally, the rotational term is -\f[ -U_r = \frac{\omega^2}2 R^2 - = \frac{\omega^2}2 (u^2 + E^2) \cos^2\beta - = \frac{\omega^2}2 u'^2 \cos^2\beta. -\f] - -\f$ U_m \f$ and \f$ U_q \f$ are both gravitational potentials (due to -mass within the ellipsoid). The total mass contributing to \f$ U_m \f$ -is \f$ M \f$; the total mass contributing to \f$ U_q \f$ vanishes (far -from the ellipsoid, the \f$ U_q \f$ decays inversely as the cube of the -distance). - -\f$ U_m \f$ and \f$ U_q + U_r \f$ are separately both constant on the -level ellipsoid. \f$ U_m \f$ is the normal potential for a massive -non-rotating ellipsoid. \f$ U_q + U_r \f$ is the potential for a -massless rotating ellipsoid. Combining all the terms, \f$ U \f$ is the -normal potential for a massive rotating ellipsoid. - -The figure shows normal gravity for the case \f$ GM = 1 \f$, -\f$ a = 1 \f$, \f$ b = 0.8 \f$, \f$ \omega = 0.3 \f$. The level -ellipsoid is shown in red. Contours of constant gravity potential are -shown in blue; the contour spacing is constant outside the ellipsoid and -equal to 1/20 of the difference between the potentials on the ellipsoid -and at the geostationary point (\f$ R = 2.2536 \f$, \f$ Z = 0 \f$); -inside the ellipsoid the contour spacing is 5 times greater. The green -lines are stream lines for the gravity; these are spaced at intervals of -10° in parametric latitude on the surface of the ellipsoid. The -normal gravity is continued into the level ellipsoid under the -assumption that the mass is concentrated on the focal disc, shown in -black. - -\image html normal-gravity-potential-1.svg "Normal gravity" - -\section normalgravmass The mass distribution - -Typically, the normal potential, \f$ U \f$, is only of interest for -outside the ellipsoid \f$ u \ge b \f$ (alt. \f$ u' \ge a \f$). In -planetary applications, an open problem is finding a mass distribution -which is in hydrostatic equilibrium (the mass density is non-negative -and a non-decreasing function of the potential interior to the -ellipsoid). - -However it is possible to give singular mass distributions consistent -with the normal potential. - -For a non-rotating body, the potential \f$ U = U_m \f$ is generated by a -sandwiching the mass \f$ M \f$ uniformly between the level ellipsoid -with semi-axes \f$ a \f$ and \f$ b \f$ and a close similar -ellipsoid with semi-axes \f$ (1-\epsilon)a \f$ and -\f$ (1-\epsilon)b \f$. Chasles (1840) extends a theorem of Newton to -show that the field interior to such an ellipsoidal shell vanishes. -Thus the potential on the ellipsoid is constant, i.e., it is indeed a -level ellipsoid. This result also holds for a non-rotating triaxial -ellipsoid. - -Observing that \f$ U_m \f$ and \f$ U_q \f$ as defined above obey -\f$ \nabla^2 U_m = \nabla^2 U_q = 0 \f$ everywhere for \f$ u > 0 \f$ -(alt. \f$ u' > 0 \f$), we see that these potentials correspond to -masses concentrated at \f$ u = 0 \f$ (alt. \f$ u' = 0 \f$). - -In the oblate case, \f$ U_m \f$ is generated by a massive disc at -\f$ Z = 0 \f$, \f$ R < E \f$, with mass density (mass per unit area) \f$ -\rho_m \f$ and moments of inertia about the equatorial (resp. polar) -axis of \f$ A_m \f$ (resp. \f$ C_m \f$) given by -\f[ -\begin{align} -\rho_m &= \frac M{2\pi E\sqrt{E^2 - R^2}},\\ -A_m &= \frac {ME^2}3, \\ -C_m &= \frac {2ME^2}3, \\ -C_m-A_m &= \frac {ME^2}3. -\end{align} -\f] -This mass distribution is the same as that produced by projecting a -uniform spheric shell of mass \f$ M \f$ and radius \f$ E \f$ onto the -equatorial plane. - -In the prolate case, \f$ U_m \f$ is generated by a massive rod at \f$ R -= 0 \f$, \f$ Z < E' \f$ and now the mass density \f$ \rho'_m \f$ has -units mass per unit length, -\f[ -\begin{align} -\rho'_m &= \frac M{2E'},\\ -A_m &= \frac {ME'^2}3, \\ -C_m &= 0, \\ -C_m-A_m &= -\frac {ME'^2}3. -\end{align} -\f] -This mass distribution is the same as that produced by projecting a -uniform spheric shell of mass \f$ M \f$ and radius \f$ E' \f$ onto the -polar axis. - -Similarly, \f$ U_q \f$ is generated in the oblate case by -\f[ -\begin{align} -\rho_q &= \frac{a^2 b^3 \omega^2}G - \frac{2E^2 - 3R^2}{6\pi E^5 \sqrt{E^2 - R^2} Q(E/b)}, \\ -A_q &= -\frac{a^2 b^3 \omega^2}G \frac2{45\,Q(E/b)}, \\ -C_q &= -\frac{a^2 b^3 \omega^2}G \frac4{45\,Q(E/b)}, \\ -C_q-A_q &= -\frac{a^2 b^3 \omega^2}G \frac2{45\,Q(E/b)}. -\end{align} -\f] -The corresponding results for a prolate ellipsoid are -\f[ -\begin{align} -\rho_q' &= \frac{a^2 b^3 \omega^2}G - \frac{3Z^2 - E'^2}{12\,E'^5 Q'(E'/a)}, \\ -A_q &= \frac{a^2 b^3 \omega^2}G \frac2{45\,Q'(E'/a)}, \\ -C_q &= 0, \\ -C_q-A_q &= -\frac{a^2 b^3 \omega^2}G \frac2{45\,Q'(E'/a)}. -\end{align} -\f] - -Summing up the mass and quadrupole terms, we have -\f[ -\begin{align} -A &= A_m + A_q, \\ -C &= C_m + C_q, \\ -J_2 & = \frac{C - A}{Ma^2}, -\end{align} -\f] -where \f$ J_2 \f$ is the dynamical form factor. - -\section normalgravsurf The surface gravity - -Each term in the potential contributes to the gravity on the surface of -the ellipsoid -\f[ -\gamma = \gamma_m + \gamma_q + \gamma_r; -\f] -These are the components of gravity normal to the ellipsoid and, by -convention, \f$ \gamma \f$ is positive downwards. The tangential -components of the total gravity and that due to \f$ U_m \f$ vanish. -Those tangential components of the gravity due to \f$ U_q \f$ and \f$ -U_r \f$ cancel one another. - -The gravity \f$ \gamma \f$ has the following dependence on latitude -\f[ -\begin{align} -\gamma &= \frac{b\gamma_a\cos^2\beta + a\gamma_b\sin^2\beta} - {\sqrt{b^2\cos^2\beta + a^2\sin^2\beta}}\\ - &= \frac{a\gamma_a\cos^2\phi + b\gamma_b\sin^2\phi} - {\sqrt{a^2\cos^2\phi + b^2\sin^2\phi}}, -\end{align} -\f] -and the individual components, \f$ \gamma_m \f$, \f$ \gamma_q \f$, and -\f$ \gamma_r \f$, have the same dependence on latitude. The equatorial -and polar gravities are -\f[ -\begin{align} -\gamma_a &= \gamma_{ma} + \gamma_{qa} + \gamma_{ra},\\ -\gamma_b &= \gamma_{mb} + \gamma_{qb} + \gamma_{rb}, -\end{align} -\f] -where -\f[ -\begin{align} -\gamma_{ma} &= \frac{GM}{ab},\qquad \gamma_{mb} = \frac{GM}{a^2},\\ -\gamma_{qa} &= -\frac{\omega^2 a}6 \frac{H(E/b)}{Q(E/b)} - = -\frac{\omega^2 a}6 \frac{H'(E'/a)}{Q'(E'/a)},\\ -\gamma_{qb} &= -\frac{\omega^2 b}3 \frac{H(E/b)}{Q(E/b)} - = -\frac{\omega^2 b}3 \frac{H'(E'/a)}{Q'(E'/a)},\\ -\gamma_{ra} &= -\omega^2 a,\qquad \gamma_{rb} = 0. -\end{align} -\f] - -\section normalgravmean The mean gravity - -Performing an average of the surface gravity over the area of the -ellipsoid gives -\f[ -\langle \gamma \rangle = \frac {4\pi a^2 b}A - \biggl(\frac{2\gamma_a}{3a} + \frac{\gamma_b}{3b}\biggr), -\f] -where \f$ A \f$ is the area of the ellipsoid -\f[ -\begin{align} - A &= 2\pi\biggl( a^2 + ab\frac{\sinh^{-1}(E/b)}{E/b} \biggr)\\ - &= 2\pi\biggl( a^2 + b^2\frac{\tan^{-1}(E'/a)}{E'/a} \biggr). -\end{align} -\f] - -The contributions to the mean gravity are -\f[ -\begin{align} -\langle \gamma_m \rangle &= \frac{4\pi}A GM, \\ -\langle \gamma_q \rangle &= 0 \quad \text{(as expected)}, \\ -\langle \gamma_r \rangle &= -\frac{4\pi}A \frac{2\omega^2 a^2b}3,\\ -\end{align} -\f] -resulting in -\f[ -\langle \gamma \rangle = \frac{4\pi}A - \biggl(GM - \frac{2\omega^2 a^2b}3\biggr). -\f] - -\section normalgravj2 Possible values of the dynamical form factor - -The solution for the normal gravity is well defined for arbitrary -\f$ M \f$, \f$ \omega \f$, \f$ a > 0\f$, and \f$ f < 1 \f$. (Note that -arbitrary oblate and prolate ellipsoids are possible, although -hydrostatic equilibrium would not result in a prolate ellipsoid.) -However, if is much easier to measure the dynamical form factor -\f$ J_2 \f$ (from the motion of artificial satellites) than the -flattening \f$ f \f$. (Note too that \f$ GM \f$ is also typically -measured from from satellite or astronomical observations and so it -includes the mass of the atmosphere.) - -So a question for the software developer is: given values of \f$ M > 0\f$, -\f$ \omega \f$, and \f$ a > 0 \f$, what are the allowed values of -\f$ J_2 \f$? We restrict the question to \f$ M > 0 \f$. The -(unphysical) case \f$ M = 0 \f$ is problematic because \f$ M \f$ appears -in the denominator in the definition of \f$ J_2 \f$. In the (also -unphysical) case \f$ M < 0 \f$, a given \f$ J_2 \f$ can result from two -distinct values of \f$ f \f$. - -Holding \f$ M > 0\f$, \f$ \omega \f$, and \f$ a > 0 \f$ fixed and -varying \f$ f \f$ from \f$ -\infty \f$ to \f$ 1 \f$, we find that -\f$ J_2 \f$ monotonically increases from \f$ -\infty \f$ to -\f[ -\frac13 - \frac8{45\pi} \frac{\omega^2 a^3}{GM}. -\f] -Thus any value of \f$ J_2 \f$ less that this value is permissible (but -some of these values may be unphysical). In obtaining this limiting -value, we used the result -\f$ Q(z \rightarrow \infty) \rightarrow \pi/(4 z^3) \f$. The value -\f[ -J_2 = -\frac13 \frac{\omega^2 a^3}{GM} -\f] -results in a sphere (\f$ f = 0 \f$). - -
-Back to \ref gravity. Forward to \ref magnetic. Up to \ref contents. -
- -**********************************************************************/ -/** -\page magnetic Magnetic models - -
-Back to \ref normalgravity. Forward to \ref geodesic. Up to \ref contents. -
- -GeographicLib can compute the earth's magnetic field by a magnetic -model using the MagneticModel and -MagneticCircle classes and with the -MagneticField utility. These models -expand the internal magnetic potential of the earth as sum of spherical -harmonics. They neglect magnetic fields due to the ionosphere, the -magnetosphere, nearby magnetized materials, electric machinery, etc. -Users of MagneticModel are advised to read the -"Health -Warning" this is provided with igrf11. Although the advice is -specific to igrf11, many of the comments apply to all magnetic field -models. - -The supported models are - - wmm2010, the - World - Magnetic Model 2010, which approximates the main magnetic field - for the period 2010--2015. - - wmm2015v2, the - World - Magnetic Model 2015, which approximates the main magnetic field - for the period 2015--2020. - - wmm2015, a deprecated version of wmm2015v2. - - wmm2020, the - World - Magnetic Model 2020, which approximates the main magnetic field - for the period 2020--2025. - - igrf11, the - International - Geomagnetic Reference Field (11th generation), which approximates - the main magnetic field for the period 1900--2015. - - igrf12, the - International - Geomagnetic Reference Field (12th generation), which approximates - the main magnetic field for the period 1900--2020. - - emm2010, the - Enhanced - Magnetic Model 2010, which approximates the main and crustal - magnetic fields for the period 2010--2015. - - emm2015, the - Enhanced - Magnetic Model 2015, which approximates the main and crustal - magnetic fields for the period 2000--2020. - - emm2017, the - Enhanced - Magnetic Model 2017, which approximates the main and crustal - magnetic fields for the period 2000--2022. - -Go to - - \ref magneticinst - - \ref magneticformat - -\section magneticinst Installing the magnetic field models - -These magnetic models are available for download: -
- - - - - - - - - - - - - - - - - -
Available magnetic models
name max\n degree - time\n interval - size\n(kB) -
Download Links (size, kB)
tar fileWindows\n installerzip file
wmm2010 -
12
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2010--2015
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3
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- - link (2)
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- - link (300)
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- - link (2)
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wmm2015 -
12
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2015--2020
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3
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- - link (2)
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- - link (300)
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- - link (2)
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wmm2015v2 -
12
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2015--2020
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3
-
- - link (2)
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- - link (300)
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- - link (2)
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wmm2020 -
12
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2020--2025
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3
-
- - link (2)
-
- - link (1390)
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- - link (2)
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igrf11 -
13
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1900--2015
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25
-
- - link (7)
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- - link (310)
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- - link (8)
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igrf12 -
13
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1900--2020
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26
-
- - link (7)
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- - link (310)
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- - link (8)
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emm2010 -
739
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2010--2015
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4400
-
- - link (3700)
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- - link (3000)
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- - link (4100)
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emm2015 -
729
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2000--2020
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4300
-
- - link (660)
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- - link (990)
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- - link (1030)
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emm2017 -
790
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2000--2022
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5050
-
- - link (1740)
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- - link (1700)
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- - link (2750)
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-The "size" column is the size of the uncompressed data. N.B., the -wmm2015 model is deprecated; use wmm2015v2 instead. - -For Linux and Unix systems, GeographicLib provides a shell script -geographiclib-get-magnetic (typically installed in /usr/local/sbin) -which automates the process of downloading and installing the magnetic -models. For example -\verbatim - geographiclib-get-magnetic all # install all available models - geographiclib-get-magnetic -h # for help -\endverbatim -This script should be run as a user with write access to the -installation directory, which is typically -/usr/local/share/GeographicLib (this can be overridden with the -p -flag), and the data will then be placed in the "magnetic" subdirectory. - -Windows users should download and run the Windows installers. These -will prompt for an installation directory with the default being -\verbatim - C:/ProgramData/GeographicLib -\endverbatim -(which you probably should not change) and the data is installed in the -"magnetic" sub-directory. (The second directory name is an alternate name -that Windows 7 uses for the "Application Data" directory.) - -Otherwise download \e either the tar.bz2 file \e or the zip file (they -have the same contents). To unpack these, run, for example -\verbatim - mkdir -p /usr/local/share/GeographicLib - tar xofjC wmm2020.tar.bz2 /usr/local/share/GeographicLib - tar xofjC emm2010.tar.bz2 /usr/local/share/GeographicLib - etc. -\endverbatim -and, again, the data will be placed in the "magnetic" subdirectory. - -However you install the magnetic models, all the datasets should be -installed in the same directory. MagneticModel and -MagneticField uses a compile time -default to locate the datasets. This is -- /usr/local/share/GeographicLib/magnetic, for non-Windows systems -- C:/ProgramData/GeographicLib/magnetic, for Windows systems -. -consistent with the examples above. This may be overridden at run-time -by defining the GEOGRAPHICLIB_MAGNETIC_PATH or the GEOGRAPHIC_DATA -environment variables; see -MagneticModel::DefaultMagneticPath() for details. -Finally, the path may be set using the optional second argument to the -MagneticModel constructor or with the "-d" flag to -MagneticField. Supplying the "-h" -flag to -MagneticField reports the default -path for magnetic models for that utility. The "-v" flag causes -MagneticField to report the full path name of the data file it uses. - -\section magneticformat The format of the magnetic model files - -The constructor for MagneticModel reads a file called -NAME.wmm which specifies various properties for the magnetic model. It -then opens a binary file NAME.wmm.cof to obtain the coefficients of the -spherical harmonic sum. - -The first line of the .wmm file must consist of "WMMF-v" where WMMF -stands for "World Magnetic Model Format" and v is the version number of -the format (currently "2"). - -The rest of the File is read a line at a time. A # character and -everything after it are discarded. If the result is just white space it -is discarded. The remaining lines are of the form "KEY WHITESPACE -VALUE". In general, the KEY and the VALUE are case-sensitive. - -MagneticModel only pays attention to the following -keywords - - keywords that affect the field calculation, namely: - - Radius (required), the normalizing radius of the model in - meters. - - NumModels (default 1), the number of models. WMM2020 - consists of a single model giving the magnetic field and its time - variation at 2020. IGRF12 consists of 24 models for 1900 thru 2015 - at 5 year intervals. The time variation is given only for the last - model to allow extrapolation beyond 2015. For dates prior to 2015, - linear interpolation is used. - - NumConstants (default 0), the number of time-independent - terms; this can be 0 or 1. This keyword was introduced in format - version 2 (GeographicLib version 1.43) to support the EMM2015 and - later models. This model includes long wavelength time-varying - components of degree 15. This is supplemented by a short - wavelength time-independent component with much higher degree. - - Epoch (required), the time origin (in fractional years) for - the first model. - - DeltaEpoch (default 1), the interval between models in years - (only relevant for NumModels > 1). - - Normalization (default schmidt), the normalization used for - the associated Legendre functions (schmidt or full). - - ID (required), 8 printable characters which serve as a - signature for the .wmm.cof file (they must appear as the first 8 - bytes of this file). - - keywords that store data that the user can query: - - Name, the name of the model. - - Description, a more descriptive name of the model. - - ReleaseDate, when the model was created. - - MinTime, the minimum date at which the model should be used. - - MaxTime, the maximum date at which the model should be used. - - MinHeight, the minimum height above the ellipsoid for which - the model should be used. - - MaxHeight, the maximum height above the ellipsoid for which - the model should be used. - . - MagneticModel does not enforce the restrictions - implied by last four quantities. However, - MagneticField issues a warning if - these limits are exceeded. - - keywords that are examined to verify that their values are valid: - - Type (default linear), the type of the model. "linear" - means that the time variation is piece-wise linear (either using - interpolation between the field at two dates or using the field and - its first derivative with respect to time). This is the only type - of model supported at present. - - ByteOrder (default little), the order of bytes in the - .wmm.cof file. Only little endian is supported at present. - . -Other keywords are ignored. - -The coefficient file NAME.wmm.cof is a binary file in little endian -order. The first 8 bytes of this file must match the ID given in -NAME.wmm. This is followed by NumModels + 1 sets of spherical harmonic -coefficients. The first NumModels of these model the magnetic field at -Epoch + \e i * DeltaEpoch for 0 ≤ \e i < NumModels. The last set of -coefficients model the rate of change of the magnetic field at Epoch + -(NumModels − 1) * DeltaEpoch. The format for each set of coefficients -is: - - \e N, the maximum degree of the sum stored as a 4-byte signed integer. - This must satisfy \e N ≥ −1. - - \e M, the maximum order of the sum stored as a 4-byte signed integer. - This must satisfy \e N ≥ \e M ≥ −1. - - Cnm, the coefficients of the cosine - coefficients of the sum in column (i.e., \e m) major order. There - are (\e M + 1) (2\e N − \e M + 2) / 2 elements which are stored - as IEEE doubles (8 bytes). For example for \e N = \e M = 3, there - are 10 coefficients arranged as - C00, - C10, - C20, - C30, - C11, - C21, - C31, - C22, - C32, - C33. - - Snm, the coefficients of the sine - coefficients of the sum in column (i.e., \e m) major order starting - at \e m = 1. There are \e M (2\e N − \e M + 1) / 2 elements - which are stored as IEEE doubles (8 bytes). For example for \e N = - \e M = 3, there are 6 coefficients arranged as - S11, - S21, - S31, - S22, - S32, - S33. - . -Although the coefficient file is in little endian order, GeographicLib -can read it on big endian machines. It can only be read on machines -which store doubles in IEEE format. - -As an illustration, here is igrf11.wmm: -\verbatim -WMMF-1 -# A World Magnetic Model (Format 1) file. For documentation on the -# format of this file see -# https://geographiclib.sourceforge.io/html/magnetic.html#magneticformat -Name igrf11 -Description International Geomagnetic Reference Field 11th Generation -URL https://ngdc.noaa.gov/IAGA/vmod/igrf.html -Publisher National Oceanic and Atmospheric Administration -ReleaseDate 2009-12-15 -DataCutOff 2009-10-01 -ConversionDate 2011-11-04 -DataVersion 1 -Radius 6371200 -NumModels 23 -Epoch 1900 -DeltaEpoch 5 -MinTime 1900 -MaxTime 2015 -MinHeight -1000 -MaxHeight 600000 - -# The coefficients are stored in a file obtained by appending ".cof" to -# the name of this file. The coefficients were obtained from IGRF11.COF -# in the geomag70 distribution. -ID IGRF11-A -\endverbatim - -
-Back to \ref normalgravity. Forward to \ref geodesic. Up to \ref contents. -
- -**********************************************************************/ -/** -\page geodesic Geodesics on an ellipsoid of revolution - -
-Back to \ref magnetic. Forward to \ref nearest. Up to \ref contents. -
- -Geodesic and GeodesicLine provide accurate -solutions to the direct and inverse geodesic problems. The -GeodSolve utility provides an interface -to these classes. AzimuthalEquidistant implements the -azimuthal equidistant projection in terms of geodesics. -CassiniSoldner implements a transverse cylindrical -equidistant projection in terms of geodesics. The -GeodesicProj utility provides an -interface to these projections. - -The algorithms used by Geodesic and GeodesicLine are based on a Taylor -expansion of the geodesic integrals valid when the flattening \e f is -small. GeodesicExact and GeodesicLineExact evaluate the integrals -exactly (in terms of incomplete elliptic integrals). For the WGS84 -ellipsoid, the series solutions are about 2--3 times faster and 2--3 -times more accurate (because it's easier to control round-off errors -with series solutions); thus Geodesic and GeodesicLine are recommended -for most geodetic applications. However, in applications where the -absolute value of \e f is greater than about 0.02, the exact classes -should be used. - -Go to - - \ref testgeod - - \ref geodseries - - \ref geodellip - - \ref meridian - - \ref geodshort - . -For some background information on geodesics on triaxial ellipsoids, see -\ref triaxial. - -References: - - F. W. Bessel, - The calculation - of longitude and latitude from geodesic measurements (1825), - Astron. Nachr. 331(8), 852--861 (2010); - translated by C. F. F. Karney and R. E. Deakin; preprint: - arXiv:0908.1824. - - F. R. Helmert, - - Mathematical and Physical Theories of Higher Geodesy, Part 1 (1880), - Aeronautical Chart and Information Center (St. Louis, 1964), - Chaps. 5--7. - - J. Danielsen, - The area under the geodesic, - Survey Review 30(232), 61--66 (1989). - DOI: - 10.1179/003962689791474267 - - C. F. F. Karney, - - Algorithms for geodesics, - J. Geodesy 87(1), 43--55 (2013); - DOI: - 10.1007/s00190-012-0578-z; - addenda: - geod-addenda.html; - resource page: - geod.html. - - A collection of some papers on geodesics is available at - https://geographiclib.sourceforge.io/geodesic-papers/biblio.html - - The wikipedia page, - - Geodesics on an ellipsoid. - -\section testgeod Test data for geodesics - -A test set a geodesics is available at - - - GeodTest.dat.gz - - C. F. F. Karney, Test set for geodesics (2010),
- DOI: - 10.5281/zenodo.32156. - . -This is about 39 MB (compressed). This consists of a set of geodesics -for the WGS84 ellipsoid. A subset of this (consisting of 1/50 of the -members — about 690 kB, compressed) is available at - - - GeodTest-short.dat.gz - -Each line of the test set gives 10 space delimited numbers - - latitude at point 1, \e lat1 (degrees, exact) - - longitude at point 1, \e lon1 (degrees, always 0) - - azimuth at point 1, \e azi1 (clockwise from north in degrees, exact) - - latitude at point 2, \e lat2 (degrees, accurate to - 10−18 deg) - - longitude at point 2, \e lon2 (degrees, accurate to - 10−18 deg) - - azimuth at point 2, \e azi2 (degrees, accurate to - 10−18 deg) - - geodesic distance from point 1 to point 2, \e s12 (meters, exact) - - arc distance on the auxiliary sphere, \e a12 (degrees, accurate to - 10−18 deg) - - reduced length of the geodesic, \e m12 (meters, accurate to 0.1 pm) - - the area under the geodesic, \e S12 (m2, accurate to - 1 mm2) - . -These are computed using as direct geodesic calculations with the given -\e lat1, \e lon1, \e azi1, and \e s12. The distance \e s12 always -corresponds to an arc length \e a12 ≤ 180°, so the given -geodesics give the shortest paths from point 1 to point 2. For -simplicity and without loss of generality, \e lat1 is chosen in -[0°, 90°], \e lon1 is taken to be zero, \e azi1 is -chosen in [0°, 180°]. Furthermore, \e lat1 and \e -azi1 are taken to be multiples of 10−12 deg and \e s12 -is a multiple of 0.1 μm in [0 m, 20003931.4586254 m]. -This results in \e lon2 in [0°, 180°] and \e azi2 in [0°, -180°]. - -The direct calculation uses an expansion of the geodesic equations -accurate to f30 (approximately 1 part in 1050) -and is computed with with -Maxima's -bfloats and fpprec set to 100 (so the errors in the data are probably -1/2 of the values quoted above). - -The contents of the file are as follows: - - 100000 entries randomly distributed - - 50000 entries which are nearly antipodal - - 50000 entries with short distances - - 50000 entries with one end near a pole - - 50000 entries with both ends near opposite poles - - 50000 entries which are nearly meridional - - 50000 entries which are nearly equatorial - - 50000 entries running between vertices (\e azi1 = \e azi2 = 90°) - - 50000 entries ending close to vertices - . -(a total of 500000 entries). The values for \e s12 for the geodesics -running between vertices are truncated to a multiple of 0.1 pm and this -is used to determine point 2. - -This data can be fed to the GeodSolve -utility as follows - - Direct from point 1: -\verbatim - gunzip -c GeodTest.dat.gz | cut -d' ' -f1,2,3,7 | ./GeodSolve -\endverbatim - This should yield columns 4, 5, 6, and 9 of the test set. - - Direct from point 2: -\verbatim - gunzip -c GeodTest.dat.gz | cut -d' ' -f4,5,6,7 | - sed "s/ \([^ ]*$\)/ -\1/" | ./GeodSolve -\endverbatim - (The sed command negates the distance.) This should yield columns 1, - 2, and 3, and the negative of column 9 of the test set. - - Inverse between points 1 and 2: -\verbatim - gunzip -c GeodTest.dat.gz | cut -d' ' -f1,2,4,5 | ./GeodSolve -i -\endverbatim - This should yield columns 3, 6, 7, and 9 of the test set. - . -Add, e.g., "-p 6", to the call to GeodSolve to change the precision of -the output. Adding "-f" causes GeodSolve to print 12 fields specifying -the geodesic; these include the 10 fields in the test set plus the -geodesic scales \e M12 and \e M21 which are inserted between \e m12 and -\e S12. - -Code for computing arbitrarily accurate geodesics in maxima is available -in geodesic.mac (this depends on - ellint.mac and uses the series computed by - geod.mac). This solve both the direct and -inverse geodesic problems and offers the ability to solve the problems -either using series expansions (similar to Geodesic) or in terms of -elliptic integrals (similar to GeodesicExact). - -\section geodseries Expansions for geodesics - -We give here the series expansions for the various geodesic integrals -valid to order f10. In this release of the code, we -use a 6th-order expansions. This is sufficient to maintain accuracy for -doubles for the SRMmax ellipsoid (\e a = 6400 km, \e f = 1/150). -However, the preprocessor macro GEOGRAPHICLIB_GEODESIC_ORDER can be used -to select an order from 3 thru 8. (If using long doubles, with a 64-bit -fraction, the default order is 7.) The series expanded to order -f30 are given in -geodseries30.html. - -In the formulas below ^ indicates exponentiation (f^3 = -f3) and / indicates real division (3/5 = 0.6). The -equations need to be converted to Horner form, but are here left in -expanded form so that they can be easily truncated to lower order. -These expansions were obtained using the Maxima code, -geod.mac. - -In the expansions below, we have - - \f$ \alpha \f$ is the azimuth - - \f$ \alpha_0 \f$ is the azimuth at the equator crossing - - \f$ \lambda \f$ is the longitude measured from the equator crossing - - \f$ \sigma \f$ is the spherical arc length - - \f$ \omega = \tan^{-1}(\sin\alpha_0\tan\sigma) \f$ is the spherical longitude - - \f$ a \f$ is the equatorial radius - - \f$ b \f$ is the polar semi-axis - - \f$ f \f$ is the flattening - - \f$ e^2 = f(2 - f) \f$ - - \f$ e'^2 = e^2/(1-e^2) \f$ - - \f$ k^2 = e'^2 \cos^2\alpha_0 = 4 \epsilon / (1 - \epsilon)^2 \f$ - - \f$ n = f / (2 - f) \f$ - - \f$ c^2 = a^2/2 + b^2/2 (\tanh^{-1}e)/e \f$ - - \e ep2 = \f$ e'^2 \f$ - - \e k2 = \f$ k^2 \f$ - - \e eps = \f$ \epsilon = k^2 / (\sqrt{1 + k^2} + 1)^2\f$ - -The formula for distance is -\f[ - \frac sb = I_1(\sigma) -\f] -where -\f[ -\begin{align} - I_1(\sigma) &= A_1\bigl(\sigma + B_1(\sigma)\bigr) \\ - B_1(\sigma) &= \sum_{j=1} C_{1j} \sin 2j\sigma -\end{align} -\f] -and -\verbatim -A1 = (1 + 1/4 * eps^2 - + 1/64 * eps^4 - + 1/256 * eps^6 - + 25/16384 * eps^8 - + 49/65536 * eps^10) / (1 - eps); -\endverbatim -\verbatim -C1[1] = - 1/2 * eps - + 3/16 * eps^3 - - 1/32 * eps^5 - + 19/2048 * eps^7 - - 3/4096 * eps^9; -C1[2] = - 1/16 * eps^2 - + 1/32 * eps^4 - - 9/2048 * eps^6 - + 7/4096 * eps^8 - + 1/65536 * eps^10; -C1[3] = - 1/48 * eps^3 - + 3/256 * eps^5 - - 3/2048 * eps^7 - + 17/24576 * eps^9; -C1[4] = - 5/512 * eps^4 - + 3/512 * eps^6 - - 11/16384 * eps^8 - + 3/8192 * eps^10; -C1[5] = - 7/1280 * eps^5 - + 7/2048 * eps^7 - - 3/8192 * eps^9; -C1[6] = - 7/2048 * eps^6 - + 9/4096 * eps^8 - - 117/524288 * eps^10; -C1[7] = - 33/14336 * eps^7 - + 99/65536 * eps^9; -C1[8] = - 429/262144 * eps^8 - + 143/131072 * eps^10; -C1[9] = - 715/589824 * eps^9; -C1[10] = - 2431/2621440 * eps^10; -\endverbatim - -The function \f$ \tau(\sigma) = s/(b A_1) = \sigma + B_1(\sigma) \f$ -may be inverted by series reversion giving -\f[ - \sigma(\tau) = \tau + \sum_{j=1} C'_{1j} \sin 2j\sigma -\f] -where -\verbatim -C1'[1] = + 1/2 * eps - - 9/32 * eps^3 - + 205/1536 * eps^5 - - 4879/73728 * eps^7 - + 9039/327680 * eps^9; -C1'[2] = + 5/16 * eps^2 - - 37/96 * eps^4 - + 1335/4096 * eps^6 - - 86171/368640 * eps^8 - + 4119073/28311552 * eps^10; -C1'[3] = + 29/96 * eps^3 - - 75/128 * eps^5 - + 2901/4096 * eps^7 - - 443327/655360 * eps^9; -C1'[4] = + 539/1536 * eps^4 - - 2391/2560 * eps^6 - + 1082857/737280 * eps^8 - - 2722891/1548288 * eps^10; -C1'[5] = + 3467/7680 * eps^5 - - 28223/18432 * eps^7 - + 1361343/458752 * eps^9; -C1'[6] = + 38081/61440 * eps^6 - - 733437/286720 * eps^8 - + 10820079/1835008 * eps^10; -C1'[7] = + 459485/516096 * eps^7 - - 709743/163840 * eps^9; -C1'[8] = + 109167851/82575360 * eps^8 - - 550835669/74317824 * eps^10; -C1'[9] = + 83141299/41287680 * eps^9; -C1'[10] = + 9303339907/2972712960 * eps^10; -\endverbatim - -The reduced length is given by -\f[ -\begin{align} - \frac mb &= \sqrt{1 + k^2 \sin^2\sigma_2} \cos\sigma_1 \sin\sigma_2 \\ - &\quad {}-\sqrt{1 + k^2 \sin^2\sigma_1} \sin\sigma_1 \cos\sigma_2 \\ - &\quad {}-\cos\sigma_1 \cos\sigma_2 \bigl(J(\sigma_2) - J(\sigma_1)\bigr) -\end{align} -\f] -where -\f[ -\begin{align} - J(\sigma) &= I_1(\sigma) - I_2(\sigma) \\ - I_2(\sigma) &= A_2\bigl(\sigma + B_2(\sigma)\bigr) \\ - B_2(\sigma) &= \sum_{j=1} C_{2j} \sin 2j\sigma -\end{align} -\f] -\verbatim -A2 = (1 - 3/4 * eps^2 - - 7/64 * eps^4 - - 11/256 * eps^6 - - 375/16384 * eps^8 - - 931/65536 * eps^10) / (1 + eps); -\endverbatim -\verbatim -C2[1] = + 1/2 * eps - + 1/16 * eps^3 - + 1/32 * eps^5 - + 41/2048 * eps^7 - + 59/4096 * eps^9; -C2[2] = + 3/16 * eps^2 - + 1/32 * eps^4 - + 35/2048 * eps^6 - + 47/4096 * eps^8 - + 557/65536 * eps^10; -C2[3] = + 5/48 * eps^3 - + 5/256 * eps^5 - + 23/2048 * eps^7 - + 191/24576 * eps^9; -C2[4] = + 35/512 * eps^4 - + 7/512 * eps^6 - + 133/16384 * eps^8 - + 47/8192 * eps^10; -C2[5] = + 63/1280 * eps^5 - + 21/2048 * eps^7 - + 51/8192 * eps^9; -C2[6] = + 77/2048 * eps^6 - + 33/4096 * eps^8 - + 2607/524288 * eps^10; -C2[7] = + 429/14336 * eps^7 - + 429/65536 * eps^9; -C2[8] = + 6435/262144 * eps^8 - + 715/131072 * eps^10; -C2[9] = + 12155/589824 * eps^9; -C2[10] = + 46189/2621440 * eps^10; -\endverbatim - -The longitude is given in terms of the spherical longitude by -\f[ -\lambda = \omega - f \sin\alpha_0 I_3(\sigma) -\f] -where -\f[ -\begin{align} - I_3(\sigma) &= A_3\bigl(\sigma + B_3(\sigma)\bigr) \\ - B_3(\sigma) &= \sum_{j=1} C_{3j} \sin 2j\sigma -\end{align} -\f] -and -\verbatim -A3 = 1 - (1/2 - 1/2*n) * eps - - (1/4 + 1/8*n - 3/8*n^2) * eps^2 - - (1/16 + 3/16*n + 1/16*n^2 - 5/16*n^3) * eps^3 - - (3/64 + 1/32*n + 5/32*n^2 + 5/128*n^3 - 35/128*n^4) * eps^4 - - (3/128 + 5/128*n + 5/256*n^2 + 35/256*n^3 + 7/256*n^4) * eps^5 - - (5/256 + 15/1024*n + 35/1024*n^2 + 7/512*n^3) * eps^6 - - (25/2048 + 35/2048*n + 21/2048*n^2) * eps^7 - - (175/16384 + 35/4096*n) * eps^8 - - 245/32768 * eps^9; -\endverbatim -\verbatim -C3[1] = + (1/4 - 1/4*n) * eps - + (1/8 - 1/8*n^2) * eps^2 - + (3/64 + 3/64*n - 1/64*n^2 - 5/64*n^3) * eps^3 - + (5/128 + 1/64*n + 1/64*n^2 - 1/64*n^3 - 7/128*n^4) * eps^4 - + (3/128 + 11/512*n + 3/512*n^2 + 1/256*n^3 - 7/512*n^4) * eps^5 - + (21/1024 + 5/512*n + 13/1024*n^2 + 1/512*n^3) * eps^6 - + (243/16384 + 189/16384*n + 83/16384*n^2) * eps^7 - + (435/32768 + 109/16384*n) * eps^8 - + 345/32768 * eps^9; -C3[2] = + (1/16 - 3/32*n + 1/32*n^2) * eps^2 - + (3/64 - 1/32*n - 3/64*n^2 + 1/32*n^3) * eps^3 - + (3/128 + 1/128*n - 9/256*n^2 - 3/128*n^3 + 7/256*n^4) * eps^4 - + (5/256 + 1/256*n - 1/128*n^2 - 7/256*n^3 - 3/256*n^4) * eps^5 - + (27/2048 + 69/8192*n - 39/8192*n^2 - 47/4096*n^3) * eps^6 - + (187/16384 + 39/8192*n + 31/16384*n^2) * eps^7 - + (287/32768 + 47/8192*n) * eps^8 - + 255/32768 * eps^9; -C3[3] = + (5/192 - 3/64*n + 5/192*n^2 - 1/192*n^3) * eps^3 - + (3/128 - 5/192*n - 1/64*n^2 + 5/192*n^3 - 1/128*n^4) * eps^4 - + (7/512 - 1/384*n - 77/3072*n^2 + 5/3072*n^3 + 65/3072*n^4) * eps^5 - + (3/256 - 1/1024*n - 71/6144*n^2 - 47/3072*n^3) * eps^6 - + (139/16384 + 143/49152*n - 383/49152*n^2) * eps^7 - + (243/32768 + 95/49152*n) * eps^8 - + 581/98304 * eps^9; -C3[4] = + (7/512 - 7/256*n + 5/256*n^2 - 7/1024*n^3 + 1/1024*n^4) * eps^4 - + (7/512 - 5/256*n - 7/2048*n^2 + 9/512*n^3 - 21/2048*n^4) * eps^5 - + (9/1024 - 43/8192*n - 129/8192*n^2 + 39/4096*n^3) * eps^6 - + (127/16384 - 23/8192*n - 165/16384*n^2) * eps^7 - + (193/32768 + 3/8192*n) * eps^8 - + 171/32768 * eps^9; -C3[5] = + (21/2560 - 9/512*n + 15/1024*n^2 - 7/1024*n^3 + 9/5120*n^4) * eps^5 - + (9/1024 - 15/1024*n + 3/2048*n^2 + 57/5120*n^3) * eps^6 - + (99/16384 - 91/16384*n - 781/81920*n^2) * eps^7 - + (179/32768 - 55/16384*n) * eps^8 - + 141/32768 * eps^9; -C3[6] = + (11/2048 - 99/8192*n + 275/24576*n^2 - 77/12288*n^3) * eps^6 - + (99/16384 - 275/24576*n + 55/16384*n^2) * eps^7 - + (143/32768 - 253/49152*n) * eps^8 - + 33/8192 * eps^9; -C3[7] = + (429/114688 - 143/16384*n + 143/16384*n^2) * eps^7 - + (143/32768 - 143/16384*n) * eps^8 - + 429/131072 * eps^9; -C3[8] = + (715/262144 - 429/65536*n) * eps^8 - + 429/131072 * eps^9; -C3[9] = + 2431/1179648 * eps^9; -\endverbatim - -The formula for area between the geodesic and the equator is given in -Sec. 6 of -Algorithms for geodesics in terms of \e S, -\f[ -S = c^2 \alpha + e^2 a^2 \cos\alpha_0 \sin\alpha_0 I_4(\sigma) -\f] -where -\f[ -I_4(\sigma) = \sum_{j=0} C_{4j} \cos(2j+1)\sigma -\f] -In the paper, this was expanded in \f$ e'^2 \f$ and \f$ k^2 \f$. -However, the series converges faster for eccentric ellipsoids if the -expansion is in \f$ n \f$ and \f$ \epsilon \f$. The series to order -\f$ f^{10} \f$ becomes -\verbatim -C4[0] = + (2/3 - 4/15*n + 8/105*n^2 + 4/315*n^3 + 16/3465*n^4 + 20/9009*n^5 + 8/6435*n^6 + 28/36465*n^7 + 32/62985*n^8 + 4/11305*n^9) - - (1/5 - 16/35*n + 32/105*n^2 - 16/385*n^3 - 64/15015*n^4 - 16/15015*n^5 - 32/85085*n^6 - 112/692835*n^7 - 128/1616615*n^8) * eps - - (2/105 + 32/315*n - 1088/3465*n^2 + 1184/5005*n^3 - 128/3465*n^4 - 3232/765765*n^5 - 1856/1616615*n^6 - 6304/14549535*n^7) * eps^2 - + (11/315 - 368/3465*n - 32/6435*n^2 + 976/4095*n^3 - 154048/765765*n^4 + 368/11115*n^5 + 5216/1322685*n^6) * eps^3 - + (4/1155 + 1088/45045*n - 128/1287*n^2 + 64/3927*n^3 + 2877184/14549535*n^4 - 370112/2078505*n^5) * eps^4 - + (97/15015 - 464/45045*n + 4192/153153*n^2 - 88240/969969*n^3 + 31168/1322685*n^4) * eps^5 - + (10/9009 + 4192/765765*n - 188096/14549535*n^2 + 23392/855855*n^3) * eps^6 - + (193/85085 - 6832/2078505*n + 106976/14549535*n^2) * eps^7 - + (632/1322685 + 3456/1616615*n) * eps^8 - + 107/101745 * eps^9; -C4[1] = + (1/45 - 16/315*n + 32/945*n^2 - 16/3465*n^3 - 64/135135*n^4 - 16/135135*n^5 - 32/765765*n^6 - 112/6235515*n^7 - 128/14549535*n^8) * eps - - (2/105 - 64/945*n + 128/1485*n^2 - 1984/45045*n^3 + 256/45045*n^4 + 64/109395*n^5 + 128/855855*n^6 + 2368/43648605*n^7) * eps^2 - - (1/105 - 16/2079*n - 5792/135135*n^2 + 3568/45045*n^3 - 103744/2297295*n^4 + 264464/43648605*n^5 + 544/855855*n^6) * eps^3 - + (4/1155 - 2944/135135*n + 256/9009*n^2 + 17536/765765*n^3 - 3053056/43648605*n^4 + 1923968/43648605*n^5) * eps^4 - + (1/9009 + 16/19305*n - 2656/153153*n^2 + 65072/2078505*n^3 + 526912/43648605*n^4) * eps^5 - + (10/9009 - 1472/459459*n + 106112/43648605*n^2 - 204352/14549535*n^3) * eps^6 - + (349/2297295 + 28144/43648605*n - 32288/8729721*n^2) * eps^7 - + (632/1322685 - 44288/43648605*n) * eps^8 - + 43/479655 * eps^9; -C4[2] = + (4/525 - 32/1575*n + 64/3465*n^2 - 32/5005*n^3 + 128/225225*n^4 + 32/765765*n^5 + 64/8083075*n^6 + 32/14549535*n^7) * eps^2 - - (8/1575 - 128/5775*n + 256/6825*n^2 - 6784/225225*n^3 + 4608/425425*n^4 - 128/124355*n^5 - 5888/72747675*n^6) * eps^3 - - (8/1925 - 1856/225225*n - 128/17325*n^2 + 42176/1276275*n^3 - 2434816/72747675*n^4 + 195136/14549535*n^5) * eps^4 - + (8/10725 - 128/17325*n + 64256/3828825*n^2 - 128/25935*n^3 - 266752/10392525*n^4) * eps^5 - - (4/25025 + 928/3828825*n + 292288/72747675*n^2 - 106528/6613425*n^3) * eps^6 - + (464/1276275 - 17152/10392525*n + 83456/72747675*n^2) * eps^7 - + (1168/72747675 + 128/1865325*n) * eps^8 - + 208/1119195 * eps^9; -C4[3] = + (8/2205 - 256/24255*n + 512/45045*n^2 - 256/45045*n^3 + 1024/765765*n^4 - 256/2909907*n^5 - 512/101846745*n^6) * eps^3 - - (16/8085 - 1024/105105*n + 2048/105105*n^2 - 1024/51051*n^3 + 4096/373065*n^4 - 1024/357357*n^5) * eps^4 - - (136/63063 - 256/45045*n + 512/1072071*n^2 + 494336/33948915*n^3 - 44032/1996995*n^4) * eps^5 - + (64/315315 - 16384/5360355*n + 966656/101846745*n^2 - 868352/101846745*n^3) * eps^6 - - (16/97461 + 14848/101846745*n + 74752/101846745*n^2) * eps^7 - + (5024/33948915 - 96256/101846745*n) * eps^8 - - 1744/101846745 * eps^9; -C4[4] = + (64/31185 - 512/81081*n + 1024/135135*n^2 - 512/109395*n^3 + 2048/1247103*n^4 - 2560/8729721*n^5) * eps^4 - - (128/135135 - 2048/405405*n + 77824/6891885*n^2 - 198656/14549535*n^3 + 8192/855855*n^4) * eps^5 - - (512/405405 - 2048/530145*n + 299008/130945815*n^2 + 280576/43648605*n^3) * eps^6 - + (128/2297295 - 2048/1438965*n + 241664/43648605*n^2) * eps^7 - - (17536/130945815 + 1024/43648605*n) * eps^8 - + 2944/43648605 * eps^9; -C4[5] = + (128/99099 - 2048/495495*n + 4096/765765*n^2 - 6144/1616615*n^3 + 8192/4849845*n^4) * eps^5 - - (256/495495 - 8192/2807805*n + 376832/53348295*n^2 - 8192/855855*n^3) * eps^6 - - (6784/8423415 - 432128/160044885*n + 397312/160044885*n^2) * eps^7 - + (512/53348295 - 16384/22863555*n) * eps^8 - - 16768/160044885 * eps^9; -C4[6] = + (512/585585 - 4096/1422135*n + 8192/2078505*n^2 - 4096/1322685*n^3) * eps^6 - - (1024/3318315 - 16384/9006855*n + 98304/21015995*n^2) * eps^7 - - (103424/189143955 - 8192/4203199*n) * eps^8 - - 1024/189143955 * eps^9; -C4[7] = + (1024/1640925 - 65536/31177575*n + 131072/43648605*n^2) * eps^7 - - (2048/10392525 - 262144/218243025*n) * eps^8 - - 84992/218243025 * eps^9; -C4[8] = + (16384/35334585 - 131072/82447365*n) * eps^8 - - 32768/247342095 * eps^9; -C4[9] = + 32768/92147055 * eps^9; -\endverbatim - -\section geodellip Geodesics in terms of elliptic integrals - -GeodesicExact and GeodesicLineExact solve the geodesic problem using -elliptic integrals. The formulation of geodesic in terms of incomplete -elliptic integrals is given in - - C. F. F. Karney, - Geodesics - on an ellipsoid of revolution, - Feb. 2011; preprint - arxiv:1102.1215v1. - . -It is most convenient to use the form derived for a prolate ellipsoid in -Appendix D. For an oblate ellipsoid this results in elliptic integrals -with an imaginary modulus. However, the integrals themselves are real -and the algorithms used to compute the elliptic integrals handles the -case of an imaginary modulus using real arithmetic. - -The key relations used by GeographicLib are -\f[ - \begin{align} - \frac sb &= E(\sigma, ik), \\ - \lambda &= (1 - f) \sin\alpha_0 G(\sigma, \cos^2\alpha_0, ik) \\ - &= \chi - - \frac{e'^2}{\sqrt{1+e'^2}}\sin\alpha_0 H(\sigma, -e'^2, ik), \\ - J(\sigma) &= k^2 D(\sigma, ik), - \end{align} -\f] -where \f$ \chi \f$ is a modified spherical longitude given by -\f[ -\tan\chi = \sqrt{\frac{1+e'^2}{1+k^2\sin^2\sigma}}\tan\omega, -\f] -and -\f[ - \begin{align} - D(\phi,k) &= \int_0^\phi - \frac{\sin^2\theta}{\sqrt{1 - k^2\sin^2\theta}}\,d\theta\\ - &=\frac{F(\phi, k) - E(\phi, k)}{k^2},\\ - G(\phi,\alpha^2,k) &= \int_0^\phi - \frac{\sqrt{1 - k^2\sin^2\theta}}{1 - \alpha^2\sin^2\theta}\,d\theta\\ - &=\frac{k^2}{\alpha^2}F(\phi, k) - +\biggl(1-\frac{k^2}{\alpha^2}\biggr)\Pi(\phi, \alpha^2, k),\\ - H(\phi, \alpha^2, k) - &= \int_0^\phi - \frac{\cos^2\theta}{(1-\alpha^2\sin^2\theta)\sqrt{1-k^2\sin^2\theta}} - \,d\theta \\ - &= - \frac1{\alpha^2} F(\phi, k) + - \biggl(1 - \frac1{\alpha^2}\biggr) \Pi(\phi, \alpha^2, k), - \end{align} -\f] -and \f$F(\phi, k)\f$, \f$E(\phi, k)\f$, \f$D(\phi, k)\f$, and -\f$\Pi(\phi, \alpha^2, k)\f$, are incomplete elliptic integrals (see -https://dlmf.nist.gov/19.2.ii). The formula for \f$ s \f$ and the -first expression for \f$ \lambda \f$ are given by Legendre (1811) and -are the most common representation of geodesics in terms of elliptic -integrals. The second (equivalent) expression for \f$ \lambda \f$, -which was given by Cayley (1870), is useful in that the elliptic -integral is relegated to a small correction term. This form allows -the longitude to be computed more accurately and is used in -GeographicLib. (The equivalence of the two expressions for \f$ -\lambda \f$ follows from https://dlmf.nist.gov/19.7.E8.) - -Nominally, GeodesicExact and GeodesicLineExact will give "exact" results -for any value of the flattening. However, the geographic latitude is a -distorted measure of distance from the equator with very eccentric -ellipsoids and this introducing an irreducible representational error in -the algorithms in this case. It is therefore recommended to restrict -the use of these classes to b/\e a ∈ [0.01, 100] or \e f -∈ [−99, 0.99]. Note that GeodesicExact still uses a series -expansion for the area \e S12. However the series is taken out to 30th -order and gives accurate results for b/\e a ∈ [1/2, 2]; the -accuracy is about 8 decimal digits for b/\e a ∈ [1/4, 4]. -Additional work planned for this aspect of the geodesic problem: -- formulate the area integral \e S12 in terms of elliptic integrals; -- generate accurate test geodesics for highly eccentric ellipsoids so - that the roundoff errors can be quantified. - -Thomas (1952) and Rollins (2010) use a different independent variable -for geodesics, \f$\theta\f$ instead of \f$\sigma\f$, where \f$ -\tan\theta = \sqrt{1 + k^2} \tan\sigma \f$. The corresponding -expressions for \f$ s \f$ and \f$ \lambda \f$ are given here for -completeness: -\f[ -\begin{align} -\frac sb &= \sqrt{1-k'^2} \Pi(\theta, k'^2, k'), \\ -\lambda &= (1-f) \sqrt{1-k'^2} \sin\alpha_0 \Pi(\theta, k'^2/e^2, k'), -\end{align} -\f] -where \f$ k' = k/\sqrt{1 + k^2} \f$. The expression for \f$ s \f$ -can be written in terms of elliptic integrals of the second kind and -Cayley's technique can be used to subtract out the leading order -behavior of \f$ \lambda \f$ to give -\f[ -\begin{align} -\frac sb &=\frac1{\sqrt{1-k'^2}} - \biggl( E(\theta, k') - - \frac{k'^2 \sin\theta \cos\theta}{\sqrt{1-k'^2\sin^2\theta}} \biggr), \\ -\lambda &= \psi + (1-f) \sqrt{1-k'^2} \sin\alpha_0 -\bigl( F(\theta, k') - \Pi(\theta, e^2, k') \bigr), -\end{align} -\f] -where -\f[ -\begin{align} -\tan\psi &= \sqrt{\frac{1+k^2\sin^2\sigma}{1+e'^2}}\tan\omega \\ - &= \sqrt{\frac{1-e^2}{1+k^2\cos^2\theta}}\sin\alpha_0\tan\theta. -\end{align} -\f] -The tangents of the three "longitude-like" angles are in geometric -progression, \f$ \tan\chi/\tan\omega = \tan\omega/\tan\psi \f$. - -\section meridian Parameters for the meridian - -The formulas for \f$ s \f$ given in the previous section are the same as -those for the distance along a meridian for an ellipsoid with equatorial -radius \f$ a \sqrt{1 - e^2 \sin^2\alpha_0} \f$ and polar semi-axis \f$ b -\f$. Here is a list of possible ways of expressing the meridian -distance in terms of elliptic integrals using the notation: -- \f$ a \f$, equatorial axis, -- \f$ b \f$, polar axis, -- \f$ e = \sqrt{(a^2 - b^2)/a^2} \f$, eccentricity, -- \f$ e' = \sqrt{(a^2 - b^2)/b^2} \f$, second eccentricity, -- \f$ \phi = \mathrm{am}(u, e) \f$, the geographic latitude, -- \f$ \phi' = \mathrm{am}(v', ie') = \pi/2 - \phi \f$, - the geographic colatitude, -- \f$ \beta = \mathrm{am}(v, ie') \f$, the parametric latitude - (\f$ \tan^2\beta = (1 - e^2) \tan^2\phi \f$), -- \f$ \beta' = \mathrm{am}(u', e) = \pi/2 - \beta \f$, - the parametric colatitude, -- \f$ M \f$, the length of a quarter meridian (equator to pole), -- \f$ y \f$, the distance along the meridian (measured from the equator). -- \f$ y' = M -y \f$, the distance along the meridian (measured from the pole). -. -The eccentricities \f$ (e, e') \f$ are real (resp. imaginary) for -oblate (resp. prolate) ellipsoids. The elliptic variables \f$(u, -u')\f$ and \f$(v, v')\f$ are defined by -- \f$ u = F(\phi, e) ,\quad u' = F(\beta', e) \f$ -- \f$ v = F(\beta, ie') ,\quad v' = F(\phi', ie') \f$, -. -and are linearly related by -- \f$ u + u' = K(e) ,\quad v + v' = K(ie') \f$ -- \f$ v = \sqrt{1-e^2} u ,\quad u = \sqrt{1+e'^2} v \f$. -. -The cartesian coordinates for the meridian \f$ (x, z) \f$ are given by -\f[ -\begin{align} - x &= a \cos\beta = a \cos\phi / \sqrt{1 - e^2 \sin^2\phi} \\ - &= a \sin\beta' = (a^2/b) \sin\phi' / \sqrt{1 + e'^2 \sin^2\phi'} \\ - &= a \,\mathrm{cn}(v, ie) = a \,\mathrm{cd}(u, e) \\ - &= a \,\mathrm{sn}(u', e) = (a^2/b) \,\mathrm{sd}(v', ie'), -\end{align} -\f] -\f[ -\begin{align} - z &= b \sin\beta = (b^2/a) \sin\phi / \sqrt{1 - e^2 \sin^2\phi} \\ - &= b \cos\beta' = b \cos\phi' / \sqrt{1 + e'^2 \sin^2\phi'} \\ - &= b \,\mathrm{sn}(v, ie) = (b^2/a) \,\mathrm{sd}(u, e) \\ - &= b \,\mathrm{cn}(u', e) = b \,\mathrm{cd}(v', ie'). -\end{align} -\f] -The distance along the meridian can be expressed variously as -\f[ -\begin{align} - y &= b \int \sqrt{1 + e'^2 \sin^2\beta}\, d\beta - = b E(\beta, ie') \\ - &= \frac{b^2}a \int \frac1{(1 - e^2 \sin^2\phi)^{3/2}}\, d\phi - = \frac{b^2}a \Pi(\phi, e^2, e) \\ - &= a \biggl(E(\phi, e) - - \frac{e^2\sin\phi \cos\phi}{\sqrt{1 - e^2\sin^2\phi}}\biggr) \\ - &= b \int \mathrm{dn}^2(v, ie')\, dv - = \frac{b^2}a \int \mathrm{nd}^2(u, e)\, du - = \cal E(v, ie'), -\end{align} -\f] -\f[ -\begin{align} - y' &= a \int \sqrt{1 - e^2 \sin^2\beta'}\, d\beta' - = a E(\beta', e) \\ - &= \frac{a^2}b \int \frac1{(1 + e'^2 \sin^2\phi')^{3/2}}\, d\phi' - = \frac{a^2}b \Pi(\phi', -e'^2, ie') \\ - &= b \biggl(E(\phi', ie') + - \frac{e'^2\sin\phi' \cos\phi'}{\sqrt{1 + e'^2\sin^2\phi'}}\biggr) \\ - &= a \int \mathrm{dn}^2(u', e)\, du' - = \frac{a^2}b \int \mathrm{nd}^2(v', ie')\, dv' - = \cal E(u', e), -\end{align} -\f] -with the quarter meridian distance given by -\f[ - M = aE(e) = bE(ie') = (b^2/a)\Pi(e^2,e) = (a^2/b)\Pi(-e'^2,ie'). -\f] -(Here \f$ E, F, \Pi \f$ are elliptic integrals defined in -https://dlmf.nist.gov/19.2.ii. \f$ \cal E, \mathrm{am}, \mathrm{sn}, -\mathrm{cn}, \mathrm{sd}, \mathrm{cd}, \mathrm{dn}, \mathrm{nd} \f$ are -Jacobi elliptic functions defined in https://dlmf.nist.gov/22.2 and -https://dlmf.nist.gov/22.16.) - -There are several considerations in the choice of independent variable -for evaluate the meridian distance -- The use of an imaginary modulus (namely, \f$ ie' \f$, above) is of no - practical concern. The integrals are real in this case and modern - methods (GeographicLib uses the method given in - https://dlmf.nist.gov/19.36.i) for computing integrals handles this - case using just real arithmetic. -- If the "natural" origin is the equator, choose one of \f$ \phi, \beta, - u, v \f$ (this might be preferred in geodesy). If it's the pole, - choose one of the complementary quantities \f$ \phi', \beta', u', v' - \f$ (this might be preferred by mathematicians). -- Applying these formulas to the geodesic problems, \f$ \beta \f$ - becomes the arc length, \f$ \sigma \f$, on the auxiliary sphere. This - is the traditional method of solution used by Legendre (1806), Oriani - (1806), Bessel (1825), Helmert (1880), Rainsford (1955), Thomas - (1970), Vincenty (1975), Rapp (1993), and so on. Many of the - solutions in terms of elliptic functions use one of the elliptic - variables (\f$ u \f$ or \f$ v \f$), see, for example, Jacobi (1855), - Halphen (1888), Forsyth (1896). In the context of geodesics \f$ - \phi \f$ becomes Thomas' variable \f$ \theta \f$; this is used by - Thomas (1952) and Rollins (2010) in their formulation of the - geodesic problem (see the previous section). -- For highly eccentric ellipsoids the variation of the meridian with - respect to \f$ \beta \f$ is considerably "better behaved" than other - choices (see the figure below). The choice of \f$ \phi \f$ is - probably a poor one in this case. -. -GeographicLib uses the geodesic generalization of -\f$ y = b E(\beta, ie') \f$, namely \f$ s = b E(\sigma, ik) \f$. See -\ref geodellip. - -\image html meridian-measures.png "Comparison of meridian measures" - -\section geodshort Short geodesics - -Here we describe Bowring's method for solving the inverse geodesic -problem in the limit of short geodesics and contrast it with the great -circle solution using Bessel's auxiliary sphere. References: - - B. R. Bowring, The Direct and Inverse Problems for Short Geodesic - Lines on the Ellipsoid, Surveying and Mapping 41(2), 135--141 (1981). - - R. H. Rapp, - - Geometric Geodesy, Part I, Ohio State Univ. (1991), Sec. 6.5. - -Bowring considers the conformal mapping of the ellipsoid to a sphere of -radius \f$ R \f$ such that circles of latitude and meridians are -preserved (and hence the azimuth of a line is preserved). Let \f$ -(\phi, \lambda) \f$ and \f$ (\phi', \lambda') \f$ be the latitude and -longitude on the ellipsoid and sphere respectively. Define isometric -latitudes for the sphere and the ellipsoid as -\f[ -\begin{align} - \psi' &= \sinh^{-1} \tan \phi', \\ - \psi &= \sinh^{-1} \tan \phi - e \tanh^{-1}(e \sin\phi). -\end{align} -\f] -The most general conformal mapping satisfying Bowring's conditions is -\f[ -\psi' = A \psi + K, \quad \lambda' = A \lambda, -\f] -where \f$ A \f$ and \f$ K \f$ are constants. (In fact a constant can be -added to the equation for \f$ \lambda' \f$, but this does affect the -analysis.) The scale of this mapping is -\f[ -m(\phi) = \frac{AR}{\nu}\frac{\cos\phi'}{\cos\phi}, -\f] -where \f$ \nu = a/\sqrt{1 - e^2\sin^2\phi} \f$ is the transverse radius -of curvature. (Note that in Bowring's Eq. (10), \f$ \phi \f$ should be -replaced by \f$ \phi' \f$.) The mapping from the ellipsoid to the sphere -depends on three parameters \f$ R, A, K \f$. These will be selected to -satisfy certain conditions at some representative latitude \f$ \phi_0 -\f$. Two possible choices are given below. - -\subsection bowring Bowring's method - -Bowring (1981) requires that -\f[ -m(\phi_0) = 1,\quad -\left.\frac{dm(\phi)}{d\phi}\right|_{\phi=\phi_0} = 0,\quad -\left.\frac{d^2m(\phi)}{d\phi^2}\right|_{\phi=\phi_0} = 0, -\f] -i.e, \f$m\approx 1\f$ in the vicinity of \f$\phi = \phi_0\f$. -This gives -\f[ -\begin{align} -R &= \frac{\sqrt{1 + e'^2}}{B^2} a, \\ -A &= \sqrt{1 + e'^2 \cos^4\phi_0}, \\ -\tan\phi'_0 &= \frac1B \tan\phi_0, -\end{align} -\f] -where \f$ e' = e/\sqrt{1-e^2} \f$ is the second eccentricity, \f$ B = -\sqrt{1+e'^2\cos^2\phi_0} \f$, and \f$ K \f$ is defined implicitly by -the equation for \f$\phi'_0\f$. The radius \f$ R \f$ is the (Gaussian) -mean radius of curvature of the ellipsoid at \f$\phi_0\f$ (so near -\f$\phi_0\f$ the ellipsoid can be deformed to fit the sphere snugly). -The third derivative of \f$ m \f$ is given by -\f[ -\left.\frac{d^3m(\phi)}{d\phi^3}\right|_{\phi=\phi_0} = -\frac{-2e'^2\sin2\phi_0}{B^4}. -\f] - -The method for solving the inverse problem between two nearby points \f$ -(\phi_1, \lambda_1) \f$ and \f$ (\phi_2, \lambda_2) \f$ is as follows: -Set \f$\phi_0 = (\phi_1 + \phi_2)/2\f$. Compute \f$ R, A, \phi'_0 \f$, -and hence find \f$ (\phi'_1, \lambda'_1) \f$ and \f$ (\phi'_2, -\lambda'_2) \f$. Finally, solve for the great circle on a sphere of -radius \f$ R \f$; the resulting distance and azimuths are good -approximations for the corresponding quantities for the ellipsoidal -geodesic. - -Consistent with the accuracy of this method, we can compute -\f$\phi'_1\f$ and \f$\phi'_2\f$ using a Taylor expansion about -\f$\phi_0\f$. This also avoids numerical errors that arise from -subtracting nearly equal quantities when using the equation for -\f$\phi'\f$ directly. Write \f$\Delta \phi = \phi - \phi_0\f$ and -\f$\Delta \phi' = \phi' - \phi'_0\f$; then we have -\f[ -\Delta\phi' \approx -\frac{\Delta\phi}B \biggl[1 + -\frac{\Delta\phi}{B^2}\frac{e'^2}2 - \biggl(3\sin\phi_0\cos\phi_0 + - \frac{\Delta\phi}{B^2} - \bigl(B^2 - \sin^2\phi_0(2 - 3 e'^2 \cos^2\phi_0)\bigr)\biggr)\biggr], -\f] -where the error is \f$O(f\Delta\phi^4)\f$. -This is essentially Bowring's method. Significant differences between -this result, "Bowring (improved)", compared to Bowring's paper, "Bowring -(original)", are: - - Bowring elects to use \f$\phi_0 = \phi_1\f$. This simplifies the - calculations somewhat but increases the error by about a factor of - 4. - - Bowring's expression for \f$ \Delta\phi' \f$ is only accurate in the - limit \f$ e' \rightarrow 0 \f$. - . -In fact, arguably, the highest order \f$O(f\Delta\phi^3)\f$ terms should -be dropped altogether. Their inclusion does result in a better estimate -for the distance. However, if your goal is to generate both accurate -distances \e and accurate azimuths, then \f$\Delta\phi\f$ needs to be -restricted sufficiently to allow these terms to be dropped to give the -"Bowring (truncated)" method. - -With highly eccentric ellipsoids, the parametric latitude \f$ \beta \f$ -is a better behaved independent variable to use. In this case, \f$ -\phi_0 \f$ is naturally defined using \f$\beta_0 = (\beta_1 + -\beta_2)/2\f$ and in terms of \f$\Delta\beta = \beta - \beta_0\f$, we -have -\f[ -\Delta\phi' \approx -\frac{\Delta\beta}{B'} \biggl[1 + -\frac{\Delta\beta}{B'^2}\frac{e'^2}2 - \biggl(\sin\beta_0\cos\beta_0 + - \frac{\Delta\beta}{3B'^2} - \bigl( \cos^2\beta_0 - \sin^2\beta_0 B'^2\bigr) -\biggr)\biggr], -\f] -where \f$B' = \sqrt{1+e'^2\sin^2\beta_0} = \sqrt{1+e'^2}/B\f$, and the -error once again is \f$O(f\Delta\phi^4)\f$. This is the "Bowring -(using \f$\beta\f$)" method. - -\subsection auxsphere Bessel's auxiliary sphere - -GeographicLib's uses the auxiliary sphere method of Legendre, Bessel, -and Helmert. For short geodesics, this is equivalent to picking -\f$ R, A, K \f$ so that -\f[ -m(\phi_0) = 1,\quad -\left.\frac{dm(\phi)}{d\phi}\right|_{\phi=\phi_0} = 0,\quad -\tan\phi'_0 = (1 - f) \tan\phi_0. -\f] -Bowring's requirement that the second derivative of \f$m\f$ vanish has -been replaced by the last relation which states that \f$\phi'_0 = -\beta_0\f$, the parametric latitude corresponding to \f$\phi_0\f$. This -gives -\f[ -\begin{align} -R &= B'(1-f)a, \\ -A &= \frac1{B'(1-f)}, \\ -\left.\frac{d^2m(\phi)}{d\phi^2}\right|_{\phi=\phi_0} &= --e^2B'^2\sin^2\phi_0. -\end{align} -\f] - -Similar to Bowring's method, we can compute \f$\phi'_1\f$ and -\f$\phi'_2\f$ using a Taylor expansion about \f$\beta_0\f$. This results -in the simple expression -\f[ -\Delta\phi' \approx \Delta\beta, -\f] -where the error is \f$O(f\Delta\beta^2)\f$. - -\subsection shorterr Estimating the accuracy - -In assessing the accuracy of these methods we use two metrics: - - The absolute error in the distance. - - The consistency of the predicted azimuths. Imagine starting - ellipsoidal geodesics at \f$ (\phi_1, \lambda_1) \f$ and \f$ (\phi_2, - \lambda_2) \f$ with the predicted azimuths. What is the distance - between them when they are extended a distance \f$ a \f$ beyond the - second point? - . -(The second metric is much more stringent.) We may now compare the -methods by asking for a bound to the length of a geodesic which ensures -that the one or other of the errors fall below 1 mm (an "engineering" -definition of accurate) or 1 nm (1 nanometer, about the round-off -limit). - -
- - - - - - - - - - - - - - - -
Maximum distance that can be used in various methods for -computing short geodesics while keeping the errors within prescribed -bounds
method -
distance metric
azimuth metric
1 mm error1 nm error1 mm error1 nm error
Bowring (original) -
87 km
-
870 m
-
35 km
-
350 m
-
Bowring (improved) -
180 km
-
1.8 km
-
58 km
-
580 m
-
Bowring (truncated) -
52 km
-
520 m
-
52 km
-
520 m
-
Bowring (using \f$\beta\f$) -
380 km
-
24 km
-
60 km
-
600 m
-
Bessel's aux. sphere -
42 km
-
420 m
-
1.7 km
-
1.7 m
-
-
- -For example, if you're only interested in measuring distances and an -accuracy of 1 mm is sufficient, then Bowring's improved method can -be used for distances up to 180 km. On the other hand, -GeographicLib uses Bessel's auxiliary sphere and we require both the -distance and the azimuth to be accurate, so the great circle -approximation can only be used for distances less than 1.7 m. The -reason that GeographicLib does not use Bowring's method is that the -information necessary for auxiliary sphere method is already available -as part of the general solution and, as much as possible, we allow all -geodesics to be computed by the general method. - -
-Back to \ref magnetic. Forward to \ref nearest. Up to \ref contents. -
- -**********************************************************************/ -/** -\page nearest Finding nearest neighbors - -
-Back to \ref geodesic. Forward to \ref triaxial. Up to \ref contents. -
- -The problem of finding the maritime boundary defined by the "median -line" is discussed in Section 14 of - - C. F. F. Karney, - Geodesics - on an ellipsoid of revolution, - Feb. 2011; preprint - arxiv:1102.1215v1. - . -Figure 14 shows the median line which is equidistant from Britain and -mainland Europe. Determining the median line involves finding, for any -given \e P, the closest points on the coast of Britain and on the coast -of mainland Europe. The operation of finding the closest in a set of -points is usually referred to as the nearest neighbor problem and -the NearestNeighbor class implements an efficient algorithm for solving -it. - -The NearestNeighbor class implements nearest-neighbor calculations using -the vantage-point tree described by -- J. K. Uhlmann, - - Satisfying general proximity/similarity queries with metric trees, - Information Processing Letters 40 175--179 (1991). -- P. N. Yianilos, - - Data structures and algorithms for nearest neighbor search in general - metric spaces, Proc. 4th ACM-SIAM Symposium on Discrete Algorithms, - (SIAM, 1993). pp. 311--321. - -Given a set of points \e x, \e y, \e z, …, in some space and a -distance function \e d satisfying the metric conditions, -\f[ -\begin{align} - d(x,y) &\ge 0,\\ - d(x,y) &= 0, \ \text{iff $x = y$},\\ - d(x,y) &= d(y,x),\\ - d(x,z) &\le d(x,y) + d(y,z), -\end{align} -\f] -the vantage-point (VP) tree provides an efficient way of determining -nearest neighbors. The geodesic distance (implemented by the Geodesic -class) satisfies these metric conditions, while the great ellipse -distance and the rhumb line distance do not (they do not satisfy -the last condition, the triangle inequality). Typically the cost of -constructing a VP tree of \e N points is \e N log \e N, while the cost -of a query is log \e N. Thus a VP tree should be used in situations -where \e N is large and at least log \e N queries are to be made. The -condition, \e N is large, means that \f$ N \gg 2^D \f$, where \e D is -the dimensionality of the space. - -- This implementation includes Yianilos' upper and lower bounds for the - inside and outside sets. This helps limit the number of searches - (compared to just using the median distance). -- Rather than do a depth-first or breath-first search on the tree, the - nodes to be processed are put on a priority queue with the nodes most - likely to contain close points processed first. Frequently, this allows - nodes lower down on the priority queue to be skipped. -- This technique also allows non-exhaustive searchs to be performed (to - answer questions such as "are there any points within 1km of the query - point?). -- When building the tree, the first vantage point is (arbitrarily) - chosen as the middle element of the set. Thereafter, the points - furthest from the parent vantage point in both the inside and outside - sets are selected as the children's vantage points. This information - is already available from the computation of the upper and lower - bounds of the children. This choice seems to lead to a reasonably - optimized tree. -- The leaf nodes can contain a bucket of points (instead of just a vantage - point). -- Coincident points are allowed in the set; these are treated as distinct - points. - -The figure below shows the construction of the VP tree for the points -making up the coastlines of Britain and Ireland (about 5000 points shown -in blue). The set of points is recursively split into 2 equal "inside" -and "outside" subsets based on the distance from a "vantage point". The -boundaries between the inside and outside sets are shown as green -circular arcs (arcs of geodesic circles). At each stage, the newly -added vantage points are shown as red dots and the vantage points for -the next stage are shown as red plus signs. The data is shown in the -Cassini-Soldner projection with a central meridian of 5°W. - -\image html vptree.gif "Vantage-point tree" - -
-Back to \ref geodesic. Forward to \ref triaxial. Up to \ref contents. -
- -**********************************************************************/ -/** -\page triaxial Geodesics on a triaxial ellipsoid - -
-Back to \ref nearest. Forward to \ref jacobi. Up to \ref contents. -
- -Jacobi (1839) showed that the problem of geodesics on a triaxial -ellipsoid (with 3 unequal axes) can be reduced to quadrature. Despite -this, the detailed behavior of the geodesics is not very well known. In -this section, I briefly give Jacobi's solution and illustrate the -behavior of the geodesics and outline an algorithm for the solution of -the inverse problem. - -See also - - The wikipedia page, - - Geodesics on a triaxial ellipsoid. - -Go to - - \ref triaxial-coords - - \ref triaxial-jacobi - - \ref triaxial-survey - - \ref triaxial-stab - - \ref triaxial-inverse - -NOTES - -# A triaxial ellipsoid approximates the earth only slightly better - than an ellipsoid of revolution. If you are really considering - measuring distances on the earth using a triaxial ellipsoid, you - should also be worrying about the shape of the geoid, which - essentially makes the geodesic problem a hopeless mess; see, for - example, Waters - (2011). - -# There is nothing new in this section. It is just an exercise in - exploring Jacobi's solution. My interest here is in generating long - geodesics with the correct long-time behavior. Arnold gives a - nice qualitative description of the solution in Mathematical - Methods of Classical Mechanics (2nd edition, Springer, 1989), - pp. 264--266. - -# Possible reasons this problem might, nevertheless, be of interest - are: - - It is the first example of a dynamical system which has a - non-trivial constant of motion. As such, Jacobi's paper generated - a lot of excitement and was followed by many papers elaborating - his solution. In particular, the unstable behavior of one of the - closed geodesics of the ellipsoid, is an early example of a system - with a positive Lyapunov exponent (one of the essential - ingredients for chaotic behavior in dynamical systems). - - Knowledge of ellipsoidal coordinates (used by Jacobi) might be - useful in other areas of geodesy. - - Geodesics which pass through the pole on an ellipsoid of revolution - represent a degenerate class (they are all closed and all pass - through the opposite pole). It is of interest to see how this - degeneracy is broken with a surface with a more general shape. - - Similarly, it is of interest to see how the Mercator projection of - the ellipsoid generalizes; this is another problem addressed by - Jacobi. - -# My interest in this problem was piqued by Jean-Marc Baillard. I put - him onto Jacobi's solution without having looked at it in detail - myself; and he quickly implemented the solution for an HP-41 - calculator(!) which is posted - here. - -# I do not give full citations of the papers here. You can find these - in the - - Geodesic Bibliography; this includes links to online - versions of the papers. - -# An alternative to exploring geodesics using Jacobi's solution is to - integrate the equations for the geodesics directly. This is the - approach taken by - - Oliver Knill and Michael Teodorescu. However it is difficult to - ensure that the long time behavior is correctly modeled with such an - approach. - -# At this point, I have no plans to add the solution of triaxial - geodesic problem to GeographicLib. - -# If you only want to learn about geodesics on a biaxial ellipsoid (an - ellipsoid of revolution), then see \ref geodesic or the paper - - C. F. F. Karney, - - Algorithms for geodesics, - J. Geodesy 87(1), 43--55 (2013); - DOI: - 10.1007/s00190-012-0578-z; - addenda: - geod-addenda.html. - -\section triaxial-coords Triaxial coordinate systems - -Consider the ellipsoid defined by -\f[ - f = \frac{X^2}{a^2} + \frac{Y^2}{b^2} + \frac{Z^2}{c^2} = 1, -\f] -where, without loss of generality, \f$ a \ge b \ge c \gt 0\f$. A -point on the surface is specified by a latitude and longitude. The \e -geographical latitude and longitude \f$(\phi, \lambda)\f$ are defined by -\f[ - \frac{\nabla f}{\left| \nabla f\right|} = \left( -\begin{array}{c} \cos\phi \cos\lambda \\ \cos\phi \sin\lambda \\ \sin\phi -\end{array}\right). -\f] -The \e parametric latitude and longitude \f$(\phi', \lambda')\f$ are -defined by -\f[ -\begin{align} - X &= a \cos\phi' \cos\lambda', \\ - Y &= b \cos\phi' \sin\lambda', \\ - Z &= c \sin\phi'. -\end{align} -\f] -Jacobi employed the \e ellipsoidal latitude and longitude \f$(\beta, -\omega)\f$ defined by -\f[ -\begin{align} - X &= a \cos\omega - \frac{\sqrt{a^2 - b^2\sin^2\beta - c^2\cos^2\beta}} - {\sqrt{a^2 - c^2}}, \\ - Y &= b \cos\beta \sin\omega, \\ - Z &= c \sin\beta - \frac{\sqrt{a^2\sin^2\omega + b^2\cos^2\omega - c^2}} - {\sqrt{a^2 - c^2}}. -\end{align} -\f] -Grid lines of constant \f$\beta\f$ and \f$\omega\f$ are given in Fig. 1. - -
-Geodesic grid on a triaxial ellipsoid -Fig. 1 -
\n -Fig. 1: -The ellipsoidal grid. The blue (resp. green) lines are lines of constant -\f$\beta\f$ (resp. \f$\omega\f$); the grid spacing is 10°. Also -shown in red are two of the principal sections of the ellipsoid, defined -by \f$x = 0\f$ and \f$z = 0\f$. The third principal section, \f$y = -0\f$, is covered by the lines \f$\beta = \pm 90^\circ\f$ and \f$\omega = -90^\circ \pm 90^\circ\f$. These lines meet at four umbilical points (two -of which are visible in this figure) where the principal radii of -curvature are equal. The parameters of the ellipsoid are \f$a = -1.01\f$, \f$b = 1\f$, \f$c = 0.8\f$, and it is viewed in an orthographic -projection from a point above \f$\phi = 40^\circ\f$, \f$\lambda = -30^\circ\f$. These parameters were chosen to accentuate the ellipsoidal -effects on geodesics (relative to those on the earth) while still -allowing the connection to an ellipsoid of revolution to be made. - -The grid lines of the ellipsoid coordinates are "lines of curvature" on -the ellipsoid, i.e., they are parallel to the direction of principal -curvature (Monge, 1796). They are also intersections of the ellipsoid -with confocal systems of hyperboloids of one and two sheets (Dupin, -1813). Finally they are geodesic ellipses and hyperbolas defined using -two adjacent umbilical points. For example, the lines of constant -\f$\beta\f$ in Fig. 1 can be generated with the familiar string -construction for ellipses with the ends of the string pinned to the two -umbilical points. - -The element of length on the ellipsoid in ellipsoidal coordinates is -given by -\f[ -\begin{align} -\frac{ds^2}{(a^2-b^2)\sin^2\omega+(b^2-c^2)\cos^2\beta} &= -\frac{b^2\sin^2\beta+c^2\cos^2\beta} - {a^2-b^2\sin^2\beta-c^2\cos^2\beta} - d\beta^2 \\ -&\qquad+ -\frac{a^2\sin^2\omega+b^2\cos^2\omega} - {a^2\sin^2\omega+b^2\cos^2\omega-c^2} - d\omega^2. -\end{align} -\f] - -The torus \f$(\omega, \beta) \in [-\pi,\pi] \times [-\pi,\pi]\f$ covers -the ellipsoid twice. In order to facilitate passing to the limit of an -oblate ellipsoid, we may regard as the principal sheet \f$[-\pi,\pi] -\times [-\frac12\pi,\frac12\pi]\f$ and insert branch cuts at -\f$\beta=\pm\frac12\pi\f$. The rule for switching sheets is -\f[ -\begin{align} -\omega & \rightarrow -\omega,\\ -\beta & \rightarrow \pi-\beta,\\ -\alpha & \rightarrow \pi+\alpha, -\end{align} -\f] -where \f$\alpha\f$ is the heading of a path, relative to a line of -constant \f$\omega\f$. - -In the limit \f$b\rightarrow a\f$ (resp. \f$b\rightarrow c\f$), the -umbilic points converge on the \f$z\f$ (resp. \f$x\f$) axis and an -oblate (resp. prolate) ellipsoid is obtained with \f$\beta\f$ -(resp. \f$\omega\f$) becoming the standard parametric latitude and -\f$\omega\f$ (resp. \f$\beta\f$) becoming the standard longitude. The -sphere is a non-uniform limit, with the position of the umbilic points -depending on the ratio \f$(a-b)/(b-c)\f$. - -Inter-conversions between the three different latitudes and longitudes -and the cartesian coordinates are simple algebraic exercises. - -\section triaxial-jacobi Jacobi's solution - -Solving the geodesic problem for an ellipsoid of revolution is, from the -mathematical point of view, trivial; because of symmetry, geodesics have -a constant of the motion (analogous to the angular momentum) which was -found by Clairaut (1733). By 1806 (with the work of Legendre, Oriani, -et al.), there was a complete understanding of the qualitative behavior -of geodesics on an ellipsoid of revolution. - -On the other hand, geodesics on a triaxial ellipsoid have no obvious -constant of the motion and thus represented a challenging "unsolved" -problem in the first half of the nineteenth century. Jacobi discovered -that the geodesic equations are separable if they are expressed in -ellipsoidal coordinates. You can get an idea of the importance Jacobi -attached to his discovery from the - -letter he wrote to his friend and neighbor Bessel: -
The day before yesterday, I reduced to quadrature the -problem of geodesic lines on an ellipsoid with three unequal -axes. They are the simplest formulas in the world, Abelian -integrals, which become the well known elliptic integrals if 2 axes are -set equal.\n -Königsberg, 28th Dec. '38. -
- -On the same day he wrote a similar letter to the editor of Compte Rendus -and his result was published in J. Crelle in (1839) with a French -translation (from German) appearing in J. Liouville in (1841). - -Here is the solution, exactly as given by Jacobi - here -(with minor changes in notation): -\f[ -\begin{align} -\delta &= \int \frac -{\sqrt{b^2\sin^2\beta + c^2\cos^2\beta}\,d\beta} -{\sqrt{a^2 - b^2\sin^2\beta - c^2\cos^2\beta} - \sqrt{(b^2-c^2)\cos^2\beta - \gamma}}\\ -&\quad - -\int \frac -{\sqrt{a^2\sin^2\omega + b^2\cos^2\omega}\,d\omega} -{\sqrt{a^2\sin^2\omega + b^2\cos^2\omega - c^2} - \sqrt{(a^2-b^2)\sin^2\omega + \gamma}} -\end{align} -\f] -As Jacobi notes "a function of the angle \f$\beta\f$ equals a -function of the angle \f$\omega\f$. These two functions are just -Abelian integrals…" Two constants \f$\delta\f$ and \f$\gamma\f$ -appear in the solution. Typically \f$\delta\f$ is zero if the lower -limits of the integrals are taken to be the starting point of the geodesic -and the direction of the geodesics is determined by \f$\gamma\f$. -However for geodesics that start at an umbilical points, we have \f$\gamma -= 0\f$ and \f$\delta\f$ determines the direction at the umbilical point. -Incidentally the constant \f$\gamma\f$ may be expressed as -\f[ -\gamma = (b^2-c^2)\cos^2\beta\sin^2\alpha-(a^2-b^2)\sin^2\omega\cos^2\alpha -\f] -where \f$\alpha\f$ is the angle the geodesic makes with lines of -constant \f$\omega\f$. In the limit \f$b\rightarrow a\f$, this reduces -to \f$\cos\beta\sin\alpha = \text{const.}\f$, the familiar Clairaut -relation. A nice derivation of Jacobi's result is given by Darboux -(1894) -§§583--584 where he gives the solution found by Liouville -(1846) for general quadratic surfaces. In this formulation, the -distance along the geodesic, \f$s\f$, is also found using -\f[ -\begin{align} -\frac{ds}{(b^2-c^2)\cos^2\beta + (a^2-b^2)\sin^2\omega} -&= \frac -{\sqrt{b^2\sin^2\beta + c^2\cos^2\beta}\,d\beta} -{\sqrt{a^2 - b^2\sin^2\beta - c^2\cos^2\beta} - \sqrt{(b^2-c^2)\cos^2\beta - \gamma}}\\ -&= \frac -{\sqrt{a^2\sin^2\omega + b^2\cos^2\omega}\,d\omega} -{\sqrt{a^2\sin^2\omega + b^2\cos^2\omega - c^2} - \sqrt{(a^2-b^2)\sin^2\omega + \gamma}} -\end{align} -\f] -An alternative expression for the distance is -\f[ -\begin{align} -ds -&= \frac -{\sqrt{b^2\sin^2\beta + c^2\cos^2\beta} - \sqrt{(b^2-c^2)\cos^2\beta - \gamma}\,d\beta} -{\sqrt{a^2 - b^2\sin^2\beta - c^2\cos^2\beta}}\\ -&\quad {}+ \frac -{\sqrt{a^2\sin^2\omega + b^2\cos^2\omega} - \sqrt{(a^2-b^2)\sin^2\omega + \gamma}\,d\omega} -{\sqrt{a^2\sin^2\omega + b^2\cos^2\omega - c^2}} -\end{align} -\f] - -Jacobi's solution is a convenient way to compute geodesics on an -ellipsoid. Care must be taken with the signs of the square roots (which -are determined by the initial azimuth of the geodesic). Also if -\f$\gamma \gt 0\f$ (resp. \f$\gamma \lt 0\f$), then the \f$\beta\f$ -(resp. \f$\omega\f$) integrand diverges. The integrand can be -transformed into a finite one by a change of variable, e.g., -\f$\sin\beta = \sin\sigma \sqrt{1 - \gamma/(b^2-c^2)}\f$. The resulting -integrals are periodic, so the behavior of an arbitrarily long geodesic -is entirely captured by tabulating the integrals over a single period. - -The situation is more complicated if \f$\gamma = 0\f$ (corresponding to -umbilical geodesics). Both integrands have simple poles at the umbilical -points. However, this behavior may be subtracted from the integrands to -yield (for example) the sum of a term involving -\f$\tanh^{-1}\sin\beta\f$ and a finite integral. Since both integrals -contain similar logarithmic singularities they can be equated (thus -fixing the ratio \f$\cos\beta/\sin\omega\f$ at the umbilical point) and -connection formulas can be found which allow the geodesic to be followed -through the umbilical point. The study of umbilical geodesics was of -special interest to a group of Irish mathematicians in the 1840's and -1850's, including Michael and William Roberts (twins!), Hart, Graves, -and Salmon. - -\section triaxial-survey Survey of triaxial geodesics - -Before delving into the nature of geodesics on a triaxial geodesic, it -is worth reviewing geodesics on an ellipsoid of revolution. There are -two classes of simple closed geodesics (i.e., geodesics which close on -themselves without intersection): the equator and all the meridians. -All other geodesics oscillate between two equal and opposite circles of -latitude; but after completing a full oscillation in latitude these fall -slightly short (for an oblate ellipsoid) of completing a full circuit in -longitude. - -Turning to the triaxial case, we find that there are only 3 simple -closed geodesics, the three principal sections of the ellipsoid given by -\f$x = 0\f$, \f$y = 0\f$, and \f$z = 0\f$. To survey the other -geodesics, it is convenient to consider geodesics which intersect the -middle principal section, \f$y = 0\f$, at right angles. Such geodesics -are shown in Figs. 2--6, where I use the same ellipsoid parameters as in -Fig. 1 and the same viewing direction. In addition, the three principal -ellipses are shown in red in each of these figures. - -If the starting point is \f$\beta_1 \in (-90^\circ, 90^\circ)\f$, -\f$\omega_1 = 0\f$, and \f$\alpha_1 = 90^\circ\f$, then the geodesic -encircles the ellipsoid in a "circumpolar" sense. The geodesic -oscillates north and south of the equator; on each oscillation it -completes slightly less that a full circuit around the ellipsoid -resulting in the geodesic filling the area bounded by the two latitude -lines \f$\beta = \pm \beta_1\f$. Two examples are given in -Figs. 2 and 3. Figure 2 shows practically the same behavior as for an -oblate ellipsoid of revolution (because \f$a \approx b\f$). However, if -the starting point is at a higher latitude (Fig. 3) the distortions -resulting from \f$a \ne b\f$ are evident. - -
-Example of a circumpolar geodesic on a -triaxial ellipsoid -Fig. 2 -
\n -Fig. 2: -Example of a circumpolar geodesic on a triaxial ellipsoid. The starting -point of this geodesic is \f$\beta_1 = 45.1^\circ\f$, \f$\omega_1 = -0^\circ\f$, and \f$\alpha_1 = 90^\circ\f$. - -
-Another example of a circumpolar geodesic on a -triaxial ellipsoid -Fig. 3 -
\n -Fig. 3: -Another example of a circumpolar geodesic on a triaxial ellipsoid. The -starting point of this geodesic is \f$\beta_1 = 87.48^\circ\f$, \f$\omega_1 = -0^\circ\f$, and \f$\alpha_1 = 90^\circ\f$. - -If the starting point is \f$\beta_1 = 90^\circ\f$, \f$\omega_1 \in -(0^\circ, 180^\circ)\f$, and \f$\alpha_1 = 180^\circ\f$, then the geodesic -encircles the ellipsoid in a "transpolar" sense. The geodesic -oscillates east and west of the ellipse \f$x = 0\f$; on each oscillation -it completes slightly more that a full circuit around the ellipsoid -resulting in the geodesic filling the area bounded by the two longitude -lines \f$\omega = \omega_1\f$ and \f$\omega = 180^\circ - \omega_1\f$. -If \f$a = b\f$, all meridians are geodesics; the effect of \f$a \ne b\f$ -causes such geodesics to oscillate east and west. Two examples are -given in Figs. 4 and 5. - -
-Example of a transpolar geodesic on a -triaxial ellipsoid -Fig. 4 -
\n -Fig. 4: -Example of a transpolar geodesic on a triaxial ellipsoid. The -starting point of this geodesic is \f$\beta_1 = 90^\circ\f$, \f$\omega_1 = -39.9^\circ\f$, and \f$\alpha_1 = 180^\circ\f$. - -
-Another example of a transpolar geodesic on a -triaxial ellipsoid -Fig. 5 -
\n -Fig. 5: -Another example of a transpolar geodesic on a triaxial ellipsoid. The -starting point of this geodesic is \f$\beta_1 = 90^\circ\f$, \f$\omega_1 = -9.966^\circ\f$, and \f$\alpha_1 = 180^\circ\f$. - -If the starting point is \f$\beta_1 = 90^\circ\f$, \f$\omega_1 = -0^\circ\f$ (an umbilical point), and \f$\alpha_1 = 135^\circ\f$ (the -geodesic leaves the ellipse \f$y = 0\f$ at right angles), then the -geodesic repeatedly intersects the opposite umbilical point and returns to -its starting point. However on each circuit the angle at which it -intersects \f$y = 0\f$ becomes closer to \f$0^\circ\f$ or -\f$180^\circ\f$ so that asymptotically the geodesic lies on the ellipse -\f$y = 0\f$. This is shown in Fig. 6. Note that a single geodesic does -not fill an area on the ellipsoid. - -
-Example of an umbilical geodesic on a -triaxial ellipsoid -Fig. 6 -
\n -Fig. 6: -Example of an umbilical geodesic on a triaxial ellipsoid. The -starting point of this geodesic is \f$\beta_1 = 90^\circ\f$, \f$\omega_1 = -0^\circ\f$, and \f$\alpha_1 = 135^\circ\f$ and the geodesics is followed -forwards and backwards until it lies close to the plane \f$y = 0\f$ in -both directions. - -Umbilical geodesics enjoy several interesting properties. - - Through any point on the ellipsoid, there are two umbilical geodesics. - - The geodesic distance between opposite umbilical points is the same - regardless of the initial direction of the geodesic. - - Whereas the closed geodesics on the ellipses \f$x = 0\f$ and \f$z = - 0\f$ are stable (an geodesic initially close to and nearly parallel to - the ellipse remains close to the ellipse), the closed geodesic on the - ellipse \f$y = 0\f$, which goes through all 4 umbilical points, is \e - unstable. If it is perturbed, it will swing out of the plane \f$y = - 0\f$ and flip around before returning to close to the plane. (This - behavior may repeat depending on the nature of the initial - perturbation.). - -\section triaxial-stab The stability of closed geodesics - -The stability of the three simple closed geodesics can be determined by -examining the properties of Jacobi's solution. In particular the -unstable behavior of umbilical geodesics was shown by Hart (1849). -However an alternative approach is to use the equations that Gauss -(1828) gives for a perturbed geodesic -\f[ -\frac {d^2m}{ds^2} + Km = 0 -\f] -where \f$m\f$ is the distance of perturbed geodesic from a reference -geodesic and \f$K\f$ is the Gaussian curvature of the surface. If the -reference geodesic is closed, then this is a linear homogeneous -differential equation with periodic coefficients. In fact it's a -special case of Hill's equation which can be treated using Floquet -theory, see DLMF, §28.29. -Using the notation of §3 of - Algorithms for -geodesics, the stability is determined by computing the reduced -length \f$m_{12}\f$ and the geodesic scales \f$M_{12}, M_{21}\f$ over -half the perimeter of the ellipse and determining the eigenvalues -\f$\lambda_{1,2}\f$ of -\f[ -{\cal M} = \left(\begin{array}{cc} -M_{12} & m_{12}\\ --\frac{1 - M_{12}M_{21}}{m_{12}} & M_{21} -\end{array}\right). -\f] -Because \f$\mathrm{det}\,{\cal M} = 1\f$, the eigenvalues are determined -by \f$\mathrm{tr}\,{\cal M}\f$. In particular if -\f$\left|\mathrm{tr}\,{\cal M}\right| < 2\f$, we have -\f$\left|\lambda_{1,2}\right| = 1\f$ and the solution is stable; if -\f$\left|\mathrm{tr}\,{\cal M}\right| > 2\f$, one of -\f$\left|\lambda_{1,2}\right|\f$ is larger than unity and the solution -is (exponentially) unstable. In the transition case, -\f$\left|\mathrm{tr}\,{\cal M}\right| = 2\f$, the solution is stable -provided that the off-diagonal elements of \f${\cal M}\f$ are zero; -otherwise the solution is linearly unstable. - -The exponential instability of the geodesic on the ellipse \f$y = 0\f$ -is confirmed by this analysis and results from the resonance between the -natural frequency of the equation for \f$m\f$ and the driving frequency -when \f$b\f$ lies in \f$(c, a)\f$. If \f$b\f$ is equal to either of the -other axes (and the triaxial ellipsoid degenerates to an ellipsoid of -revolution), then the solution is linearly unstable. (For example, a -geodesic is which is close to a meridian on an oblate ellipsoid, slowly -moves away from that meridian.) - -\section triaxial-inverse The inverse problem - -In order to solve the inverse geodesic problem, it helps to have an -understanding of the properties of all the geodesics emanating from a -single point \f$(\beta_1, \omega_1)\f$. - - If the point is an umbilical point, all the lines meet at the - opposite umbilical point. - - Otherwise, the first envelope of the geodesics is a 4-pointed - astroid. The cusps of the astroid lie on either \f$\beta = - - \beta_1\f$ or \f$\omega = \omega_1 + \pi\f$; see - Sinclair - (2003). - - All geodesics intersect (or, in the case of \f$\alpha_1 = 0\f$ or - \f$\pi\f$, touch) the line \f$\omega = \omega_1 + \pi\f$. - - All geodesics intersect (or, in the case of \f$\alpha_1 = - \pm\pi/2\f$, touch) the line \f$\beta = -\beta_1\f$. - - Two geodesics with azimuths \f$\pm\alpha_1\f$ first intersect on - \f$\omega = \omega_1 + \pi\f$ and their lengths to the point of - intersection are equal. - - Two geodesics with azimuths \f$\alpha_1\f$ and \f$\pi-\alpha_1\f$ - first intersect on \f$\beta = -\beta_1\f$ and their lengths to the - point of intersection are equal. - . -(These assertions follow directly from the equations for the geodesics; -some of them are somewhat surprising given the asymmetries of the -ellipsoid.) Consider now terminating the geodesics from \f$(\beta_1, -\omega_1)\f$ at the point where they first intersect (or touch) the line -\f$\beta = -\beta_1\f$. To focus the discussion, take \f$\beta_1 \le -0\f$. - - The geodesics completely fill the portion of the ellipsoid satisfying - \f$\beta \le -\beta_1\f$. - - None of geodesics intersect any other geodesics. - - Any initial portion of these geodesics is a shortest path. - - Each geodesic intersects the line \f$\beta = \beta_2\f$, where - \f$\beta_1 < \beta_2 < -\beta_1\f$, exactly once. - - For a given \f$\beta_2\f$, this defines a continuous monotonic - mapping of the circle of azimuths \f$\alpha_1\f$ to the circle of - longitudes \f$\omega_2\f$. - - If \f$\beta_2 = \pm \beta_1\f$, then the previous two assertions need - to be modified similarly to the case for an ellipsoid of revolution. - -These properties show that the inverse problem can be solved using -techniques similar to those employed for an ellipsoid of revolution (see -§4 of - Algorithms for -geodesics). - - If the points are opposite umbilical points, an arbitrary - \f$\alpha_1\f$ may be chosen. - - If the points are neighboring umbilical points, the shortest path - lies on the ellipse \f$y = 0\f$. - - If only one point is an umbilicial point, the azimuth at the - non-umbilical point is found using the generalization of Clairaut's - equation (given above) with \f$\gamma = 0\f$. - - Treat the cases where the geodesic might follow a line of constant - \f$\beta\f$. There are two such cases: (a) the points lie on - the ellipse \f$z = 0\f$ on a general ellipsoid and (b) the - points lie on an ellipse whose major axis is the \f$x\f$ axis on a - prolate ellipsoid (\f$a = b > c\f$). Determine the reduced length - \f$m_{12}\f$ for the geodesic which is the shorter path along the - ellipse. If \f$m_{12} \ge 0\f$, then this is the shortest path on - the ellipsoid; otherwise proceed to the general case (next). - - Swap the points, if necessary, so that the first point is the one - closest to a pole. Estimate \f$\alpha_1\f$ (by some means) and solve - the \e hybrid problem, i.e., determine the longitude \f$\omega_2\f$ - corresponding to the first intersection of the geodesic with \f$\beta - = \beta_2\f$. Adjust \f$\alpha_1\f$ so that the value of - \f$\omega_2\f$ matches the given \f$\omega_2\f$ (there is a single - root). If a sufficiently close solution can be found, Newton's - method can be employed since the necessary derivative can be - expressed in terms of the reduced length \f$m_{12}\f$. - -The shortest path found by this method is unique unless: - - The length of the geodesic vanishes \f$s_{12}=0\f$, in which case any - constant can be added to the azimuths. - - The points are opposite umbilical points. In this case, - \f$\alpha_1\f$ can take on any value and \f$\alpha_2\f$ needs to be - adjusted to maintain the value of \f$\tan\alpha_1 / \tan\alpha_2\f$. - Note that \f$\alpha\f$ increases by \f$\pm 90^\circ\f$ as the - geodesic passes through an umbilical point, depending on whether the - geodesic is considered as passing to the right or left of the point. - Here \f$\alpha_2\f$ is the \e forward azimuth at the second umbilical - point, i.e., its azimuth immediately \e after passage through the - umbilical point. - - \f$\beta_1 + \beta_2 = 0\f$ and \f$\cos\alpha_1\f$ and - \f$\cos\alpha_2\f$ have opposite signs. In this case, there another - shortest geodesic with azimuths \f$\pi - \alpha_1\f$ and - \f$\pi - \alpha_2\f$. - -\section triaxial-conformal Jacobi's conformal projection - -This material is now on its own page; see \ref jacobi. - -
-Back to \ref nearest. Forward to \ref jacobi. Up to \ref contents. -
- -**********************************************************************/ -/** -\page jacobi Jacobi's conformal projection - -
-Back to \ref triaxial. Forward to \ref rhumb. Up to \ref contents. -
- -In addition to solving the geodesic problem for the triaxial ellipsoid, -Jacobi (1839) briefly mentions the problem of the conformal projection -of ellipsoid. He covers this in greater detail in - -Vorlesungen über Dynamik, §28, which is now -available in an -English translation: Lectures on Dynamics -( -errata). - -\section jacobi-conformal Conformal projection - -It is convenient to rotate Jacobi's ellipsoidal coordinate system so -that \f$(X,Y,Z)\f$ are respectively the middle, large, and small axes of -the ellipsoid. The longitude \f$\omega\f$ is shifted so that -\f$(\beta=0,\omega=0)\f$ is the point \f$(b,0,0)\f$. The coordinates -are thus defined by -\f[ -\begin{align} - X &= b \cos\beta \cos\omega, \\ - Y &= a \sin\omega - \frac{\sqrt{a^2 - b^2\sin^2\beta - c^2\cos^2\beta}} - {\sqrt{a^2 - c^2}}, \\ - Z &= c \sin\beta - \frac{\sqrt{a^2\cos^2\omega + b^2\sin^2\omega - c^2}} - {\sqrt{a^2 - c^2}}. -\end{align} -\f] -After this change, the large principal ellipse is the equator, -\f$\beta=0\f$, while the small principal ellipse is the prime meridian, -\f$\omega=0\f$. The four umbilic points, \f$\left|\omega\right| = -\left|\beta\right| = \frac12\pi\f$, lie on middle principal ellipse in -the plane \f$X=0\f$. - -Jacobi gives the following conformal mapping of the triaxial ellipsoid -onto a plane -\f[ -\begin{align} -x &= \frac{\sqrt{a^2-c^2}}b \int \frac -{\sqrt{a^2 \cos^2\omega + b^2 \sin^2\omega}} -{\sqrt{a^2 \cos^2\omega + b^2 \sin^2\omega - c^2}}\, d\omega, \\ -y &= \frac{\sqrt{a^2-c^2}}b \int \frac -{\sqrt{b^2 \sin^2\beta + c^2 \cos^2\beta}} -{\sqrt{a^2 - b^2 \sin^2\beta - c^2 \cos^2\beta}}\, d\beta. -\end{align} -\f] -The scale of the projection is -\f[ -k = \frac{\sqrt{a^2-c^2}} -{b\sqrt{a^2 \cos^2\omega + b^2 (\sin^2\omega-\sin^2\beta) - c^2 \cos^2\beta}}. -\f] -I have scaled the Jacobi's projection by a constant factor, -\f[ -\frac{\sqrt{a^2-c^2}}{2b}, -\f] -so that it reduces to the familiar formulas in the case of an oblate ellipsoid. - -\section jacobi-elliptic The projection in terms of elliptic integrals - -The projection may be expressed in terms of elliptic integrals, -\f[ -\begin{align} -x&=(1+e_a^2)\,\Pi(\omega',-e_a^2, \cos\nu),\\ -y&=(1-e_c^2)\,\Pi(\beta' , e_c^2, \sin\nu),\\ -k&=\frac{\sqrt{e_a^2+e_c^2}}{b\sqrt{e_a^2\cos^2\omega+e_c^2\cos^2\beta}}, -\end{align} -\f] -where -\f[ -\begin{align} -e_a &= \frac{\sqrt{a^2-b^2}}b, \qquad -e_c = \frac{\sqrt{b^2-c^2}}b, \\ -\tan\omega' &= \frac ba \tan\omega = \frac 1{\sqrt{1+e_a^2}} \tan\omega, \\ -\tan\beta' &= \frac bc \tan\beta = \frac 1{\sqrt{1-e_c^2}} \tan\beta, \\ -\tan\nu &= \frac ac \frac{\sqrt{b^2-c^2}}{\sqrt{a^2-b^2}} -=\frac{e_c}{e_a}\frac{\sqrt{1+e_a^2}}{\sqrt{1-e_c^2}}, -\end{align} -\f] -\f$\nu\f$ is the geographic latitude of the umbilic point at \f$\beta = -\omega = \frac12\pi\f$ (the angle a normal at the umbilic point makes -with the equatorial plane), and \f$\Pi(\phi,\alpha^2,k)\f$ is the -elliptic integral of the third kind, https://dlmf.nist.gov/19.2.E7. This -allows the projection to be numerically computed using -EllipticFunction::Pi(real phi) const. - -Nyrtsov, et al., - - M. V. Nyrtsov, M. E. Flies, M. M. Borisov, P. J. Stooke, - - Jacobi conformal projection of the triaxial ellipsoid: new projection - for mapping of small celestial bodies, in - Cartography from Pole to Pole - (Springer, 2014), pp. 235--246. - . -also expressed the projection in terms of elliptic integrals. -However, their expressions don't allow the limits of ellipsoids of -revolution to be readily recovered. The relations -https://dlmf.nist.gov/19.7.E5 can be used to put their results in the -form given here. - -\section jacobi-properties Properties of the projection - -\f$x\f$ (resp. \f$y\f$) depends on \f$\omega\f$ (resp. \f$\beta\f$) -alone, so that latitude-longitude grid maps to straight lines in the -projection. In this sense, the Jacobi projection is the natural -generalization of the Mercator projection for the triaxial ellipsoid. -(See below for the limit \f$a\rightarrow b\f$, which makes this -connection explicit.) - -In the general case (all the axes are different), the scale diverges -only at the umbilic points. The behavior of these singularities is -illustrated by the complex function -\f[ -f(z;e) = \cosh^{-1}(z/e) - \log(2/e). -\f] -For \f$e > 0\f$, this function has two square root singularities at -\f$\pm e\f$, corresponding to the two northern umbilic points. -Plotting contours of its real (resp. imaginary) part gives the -behavior of the lines of constant latitude (resp. longitude) near the -north pole in Fig. 1. If we pass to the limit \f$e\rightarrow 0\f$, -then \f$ f(z;e)\rightarrow\log z\f$, and the two branch points merge -yielding a stronger (logarithmic) singularity at \f$z = 0\f$, -concentric circles of latitude, and radial lines of longitude. - -Again in the general case, the extents of \f$x\f$ and \f$y\f$ are -finite, -\f[ -\begin{align} -x\bigl(\tfrac12\pi\bigr) &=(1+e_a^2)\,\Pi(-e_a^2, \cos\nu),\\ -y\bigl(\tfrac12\pi\bigr) &=(1-e_c^2)\,\Pi(e_c^2, \sin\nu), -\end{align} -\f] -where \f$\Pi(\alpha^2,k)\f$ is the complete elliptic integral of the -third kind, https://dlmf.nist.gov/19.2.E8. - -In particular, if we substitute values appropriate for the earth, -\f[ -\begin{align} -a&=(6378137+35)\,\mathrm m,\\ -b&=(6378137-35)\,\mathrm m,\\ -c&=6356752\,\mathrm m,\\ -\end{align} -\f] -we have -\f[ -\begin{align} -x\bigl({\textstyle\frac12}\pi\bigr) &= 1.5720928 = \hphantom{0}90.07428^\circ,\\ -y\bigl({\textstyle\frac12}\pi\bigr) &= 4.2465810 = 243.31117^\circ.\\ -\end{align} -\f] - -The projection may be inverted (to give \f$\omega\f$ in terms of \f$x\f$ -and \f$\beta\f$ in terms of \f$y\f$) by using Newton's method to find -the root of, for example, \f$x(\omega) - x_0 = 0\f$. The derivative of -the elliptic integral is, of course, just given by its defining -relation. - -If rhumb lines are defined as curves with a constant bearing relative -to the ellipsoid coordinates, then these are straight lines in the -Jacobi projection. A rhumb line which passes over an umbilic point -immediately retraces its path. A rhumb line which crosses the line -joining the two northerly umbilic points starts traveling south with -a reversed heading (e.g., a NE heading becomes a SW heading). This -behavior is preserved in the limit \f$a\rightarrow b\f$ (although the -longitude becomes indeterminate in this limit). - -\section jacobi-limiting Limiting cases - -Oblate ellipsoid, \f$a\rightarrow b\f$. The coordinate system -is -\f[ -\begin{align} - X &= b \cos\beta \cos\omega, \\ - Y &= b \cos\beta \sin\omega, \\ - Z &= c \sin\beta. -\end{align} -\f] -Thus \f$\beta\f$ (resp. \f$\beta'\f$) is the parametric -(resp. geographic) latitude and \f$\omega=\omega'\f$ is the longitude; -the quantity \f$e_c\f$ is the eccentricity of the ellipsoid. -Using https://dlmf.nist.gov/19.6.E12 and https://dlmf.nist.gov/19.2.E19 -the projection reduces to the normal Mercator projection for an oblate -ellipsoid, -\f[ -\begin{align} -x &= \omega,\\ -y &= \sinh^{-1}\tan\beta' -- e_c \tanh^{-1}(e_c\sin\beta'),\\ -k &= \frac1{b\cos\beta}. -\end{align} -\f] - -Prolate ellipsoid, \f$c\rightarrow b\f$. The coordinate system -is -\f[ -\begin{align} - X &= b \cos\omega \cos\beta, \\ - Y &= a \sin\omega, \\ - Z &= b \cos\omega \sin\beta. -\end{align} -\f] -Thus \f$\omega\f$ (resp. \f$\omega'\f$) now plays the role of the -parametric (resp. geographic) latitude and while \f$\beta=\beta'\f$ is -the longitude. Using https://dlmf.nist.gov/19.6.E12 -https://dlmf.nist.gov/19.2.E19 and https://dlmf.nist.gov/19.2.E18 the -projection reduces to similar expressions with the roles of \f$\beta\f$ -and \f$\omega\f$ switched, -\f[ -\begin{align} -x &= \sinh^{-1}\tan\omega' -+ e_a - \tan^{-1}(e_a\sin\omega'),\\ -y &= \beta,\\ -k &= \frac1{b\cos\omega}. -\end{align} -\f] - -Sphere, \f$a\rightarrow b\f$ and \f$c\rightarrow b\f$. This is a -non-uniform limit depending on the parameter \f$\nu\f$, -\f[ -\begin{align} - X &= b \cos\omega \cos\beta, \\ - Y &= b \sin\omega \sqrt{1 - \sin^2\nu\sin^2\beta}, \\ - Z &= b \sin\beta \sqrt{1 - \cos^2\nu\sin^2\omega}. -\end{align} -\f] -Using https://dlmf.nist.gov/19.6.E13 the projection can be put in terms -of the elliptic integral of the first kind, https://dlmf.nist.gov/19.2.E4 -\f[ -\begin{align} -x &= F(\omega, \cos\nu), \\ -y &= F(\beta, \sin\nu), \\ -k &= \frac1{b \sqrt{\cos^2\nu\cos^2\omega + \sin^2\nu\cos^2\beta}}, -\end{align} -\f] -Obtaining the limit of a sphere via an oblate (resp. prolate) ellipsoid -corresponds to setting \f$\nu = \frac12\pi\f$ (resp. \f$\nu -=0\f$). In these limits, the elliptic integral reduces to elementary -functions https://dlmf.nist.gov/19.6.E7 and https://dlmf.nist.gov/19.6.E8 -\f[ -\begin{align} -F(\phi, 0) &= \phi, \\ -F(\phi, 1) &= \mathop{\mathrm{gd}}\nolimits^{-1}\phi = \sinh^{-1}\tan\phi. -\end{align} -\f] -The spherical limit gives the projection found by É. Guyou in - - - Sur un nouveau système de projection de la sphère, - Comptes Rendus 102(6), 308--310 (1886). - - - Nouveau système de projection de la sphère: - généralisation de la projection de Mercator, - Annales Hydrographiques (2nd series) 9, 16--35 (1887). - . -who apparently derived it without realizing that it is just a special -case of the projection Jacobi had given some 40 years earlier. Guyou's -name is usually associated with the particular choice, -\f$\nu=\frac14\pi\f$, in which case the hemisphere -\f$\left|\omega\right|\le\frac12\pi\f$ is mapped into a square. -However, by varying \f$\nu\in[0,\frac12\pi]\f$ the hemisphere can be -mapped into a rectangle with any aspect ratio, \f$K(\cos\nu) : -K(\sin\nu)\f$, where \f$K(k)\f$ is the complete elliptic integral of -the first find, https://dlmf.nist.gov/19.2.E8. - -\section jacobi-sphere Conformal mapping of an ellipsoid to a sphere - -An essential tool in deriving conformal projections of an ellipsoid of -revolution is the conformal mapping of the ellipsoid onto a sphere. -This allows conformal projections of the sphere to be generalized to the -case of an ellipsoid of revolution. This conformal mapping is obtained -by using the ellipsoidal Mercator projection to map the ellipsoid to -the plane and then using the spherical Mercator projection to map the -plane onto the sphere. - -A similar construction is possible for a triaxial ellipsoid. Map each -octant of the ellipsoid onto a rectangle using the Jacobi projection. -The aspect ratio of this rectangle is -\f[ -(1+e_a^2)\,\Pi(-e_a^2, \cos\nu) : -(1-e_c^2)\,\Pi( e_c^2, \sin\nu). -\f] -Find the value of \f$\nu'\f$ such that this ratio equals -\f[ -K(\cos\nu') : K(\sin\nu'). -\f] -Map the rectangle onto the equivalent octant of the sphere using Guyou's -projection with parameter \f$\nu = \nu'\f$. This reduces to the -standard construction in the limit of an ellipsoid of revolution. - -\section jacobi-implementation An implementation of the projection - -The JacobiConformal class provides an implementation of the Jacobi -conformal projection is given here. NOTE: This is just sample -code. It is not part of GeographicLib itself. - -
-Back to \ref triaxial. Forward to \ref rhumb. Up to \ref contents. -
- -**********************************************************************/ -/** -\page rhumb Rhumb lines - -
-Back to \ref jacobi. Forward to \ref greatellipse. Up to \ref contents. -
- -The Rhumb and RhumbLine classes together with the -RhumbSolve utility perform rhumb line -calculations. A rhumb line (also called a loxodrome) is a line of -constant azimuth on the surface of the ellipsoid. It is important for -historical reasons because sailing with a constant compass heading is -simpler than sailing the shorter geodesic course; see Osborne (2013). -The formulation of the problem on an ellipsoid is covered by Smart -(1946) and Carlton-Wippern (1992). Computational approaches are given -by Williams (1950) and Bennett (1996). My interest in this problem was -piqued by Botnev and Ustinov (2014) who discuss various techniques to -improve the accuracy of rhumb line calculations. The items of interest -here are: - - Review of accurate formulas for the auxiliary latitudes. - - The calculation of the area under a rhumb line. - - Using divided differences to compute \f$\mu_{12}/\psi_{12}\f$ - maintaining full accuracy. Two cases are treated: - - If \f$f\f$ is small, Krüger's series for the transverse - Mercator projection relate \f$\chi\f$ and \f$\mu\f$. - - For arbitrary \f$f\f$, the divided difference formula for - incomplete elliptic integrals of the second relates \f$\beta\f$ and - \f$\mu\f$. - . - - Extending Clenshaw summation to compute the divided difference of a - trigonometric sum. - -Go to - - \ref rhumbform - - \ref rhumblat - - \ref rhumbarea - - \ref divideddiffs - - \ref dividedclenshaw - -References: - - G. G. Bennett, - - Practical Rhumb Line Calculations on the Spheroid - J. Navigation 49(1), 112--119 (1996). - - F. W. Bessel, - The calculation - of longitude and latitude from geodesic measurements (1825), - Astron. Nachr. 331(8), 852--861 (2010); - translated by C. F. F. Karney and R. E. Deakin; preprint: - arXiv:0908.1824. - - V.A. Botnev, S.M. Ustinov, - - Metody resheniya pryamoy i obratnoy geodezicheskikh zadach s vysokoy - tochnost'yu - (Methods for direct and inverse geodesic problems - solving with high precision), St. Petersburg State Polytechnical - University Journal 3(198), 49--58 (2014). - - K. C. Carlton-Wippern - - On Loxodromic Navigation, - J. Navigation 45(2), 292--297 (1992). - - K. E. Engsager and K. Poder, - - A highly accurate world wide algorithm for the - transverse Mercator mapping (almost), - Proc. XXIII Intl. Cartographic Conf. (ICC2007), Moscow (2007). - - F. R. Helmert, - - Mathematical and Physical Theories of Higher Geodesy, Part 1 (1880), - Aeronautical Chart and Information Center (St. Louis, 1964), - Chaps. 5--7. - - W. M. Kahan and R. J. Fateman, - - Symbolic computation of divided differences, - SIGSAM Bull. 33(3), 7--28 (1999) - DOI: - 10.1145/334714.334716. - - C. F. F. Karney, - - Transverse Mercator with an accuracy of a few nanometers, - J. Geodesy 85(8), 475--485 (Aug. 2011); - addenda: - tm-addenda.html; - preprint: - arXiv:1002.1417; - resource page: - tm.html. - - C. F. F. Karney, - - Algorithms for geodesics, - J. Geodesy 87(1), 43--55 (2013); - DOI: - 10.1007/s00190-012-0578-z; - addenda: - geod-addenda.html; - resource page: - geod.html. - - L. Krüger, - Konforme - Abbildung des Erdellipsoids in der Ebene (Conformal mapping of - the ellipsoidal earth to the plane), Royal Prussian Geodetic Institute, - New Series 52, 172 pp. (1912). - - P. Osborne, - - The Mercator Projections (2013), §2.5 and §6.5; - DOI: - 10.5281/zenodo.35392. - - W. M. Smart - - On a Problem in Navigation - MNRAS 106(2), 124--127 (1946). - - J. E. D. Williams - - Loxodromic Distances on the Terrestrial Spheroid Journal, - J. Navigation 3(2), 133--140 (1950) - -\section rhumbform Formulation of the rhumb line problem - -The rhumb line can formulated in terms of three types of latitude, the -isometric latitude \f$\psi\f$ (this serves to define the course of rhumb -lines), the rectifying latitude \f$\mu\f$ (needed for computing -distances along rhumb lines), and the parametric latitude \f$\beta\f$ -(needed for dealing with rhumb lines that run along a parallel). These -are defined in terms of the geographical latitude \f$\phi\f$ by -\f[ -\begin{align} - \frac{d\psi}{d\phi} &= \frac{\rho}R, \\ - \frac{d\mu}{d\phi} &= \frac{\pi}{2M}\rho, \\ -\end{align} -\f] -where \f$\rho\f$ is the meridional radius of curvature, \f$R = -a\cos\beta\f$ is the radius of a circle of latitude, and \f$M\f$ is the -length of a quarter meridian (from the equator to the pole). - -Rhumb lines are straight in the Mercator projection, which maps a point -with geographical coordinates \f$ (\phi,\lambda) \f$ on the ellipsoid to -a point \f$ (\psi,\lambda) \f$. The azimuth \f$\alpha_{12}\f$ of a -rhumb line from \f$ (\phi_1,\lambda_1) \f$ to \f$ (\phi_2,\lambda_2) \f$ -is thus given by -\f[ -\tan\alpha_{12} = \frac{\lambda_{12}}{\psi_{12}}, -\f] -where the quadrant of \f$\alpha_{12}\f$ is determined by the signs of -the numerator and denominator of the right-hand side, \f$\lambda_{12} = -\lambda_2 - \lambda_1\f$, \f$\psi_{12} = \psi_2 - \psi_1\f$, and, -typically, \f$\lambda_{12}\f$ is reduced to the range \f$[-\pi,\pi]\f$ -(thus giving the course of the shortest rhumb line). - -The distance is given by -\f[ -\begin{align} -s_{12} &= \frac {2M}{\pi} \mu_{12} \sec\alpha_{12} \\ - &= \frac {2M}{\pi} -\frac{\mu_{12}}{\psi_{12}} \sqrt{\lambda_{12}^2 + \psi_{12}^2}, -\end{align} -\f] -where \f$\mu_{12} = \mu_2 - \mu_1\f$. This relation is indeterminate if -\f$\phi_1 = \phi_2\f$, so we take the limits -\f$\psi_{12}\rightarrow0\f$ and \f$\mu_{12}\rightarrow0\f$ and apply -L'Hôpital's rule to yield -\f[ -\begin{align} - s_{12} &= \frac {2M}{\pi} \frac{d\mu}{d\psi} \left|\lambda_{12}\right|\\ -&=a \cos\beta \left|\lambda_{12}\right|, -\end{align} -\f] -where the last relation is given by the defining equations for -\f$\psi\f$ and \f$\mu\f$. - -This provides a complete solution for rhumb lines. This formulation -entirely encapsulates the ellipsoidal shape of the earth via the -\ref auxlat; thus in the Rhumb class, the ellipsoidal -generalization is handled by the Ellipsoid class where the auxiliary -latitudes are defined. - -\section rhumblat Determining the auxiliary latitudes - -Here we brief develop the necessary formulas for the \ref auxlat. - -Isometric latitude: The equation for \f$\psi\f$ can be integrated -to give -\f[ -\psi = \sinh^{-1}\tan\phi - e\tanh^{-1}(e \sin\phi), -\f] -where \f$e = \sqrt{f(2-f)}\f$ is the eccentricity of the ellipsoid. To -invert this equation (to give \f$\phi\f$ in terms of \f$\psi\f$), it is -convenient to introduce the variables \f$\tau=\tan\phi\f$ and \f$\tau' = -\tan\chi = \sinh\psi\f$ (\f$\chi\f$ is the conformal latitude) which are -related by (Karney, 2011) -\f[ -\begin{align} -\tau' &= \tau \sqrt{1 + \sigma^2} - \sigma \sqrt{1 + \tau^2}, \\ -\sigma &= \sinh\bigl(e \tanh^{-1}(e \tau/\sqrt{1 + \tau^2}) \bigr). -\end{align} -\f] -The equation for \f$\tau'\f$ can be inverted to give \f$\tau\f$ in terms -of \f$\tau'\f$ using Newton's method with \f$\tau_0 = \tau'/(1-e^2)\f$ -as a starting guess; and, of course, \f$\phi\f$ and \f$\psi\f$ are then -given by -\f[ -\begin{align} -\phi &= \tan^{-1}\tau,\\ -\psi &= \sinh^{-1}\tau'. -\end{align} -\f] -This allows conversions to and from \f$\psi\f$ to be carried out for any -value of the flattening \f$f\f$; these conversions are implemented by -Ellipsoid::IsometricLatitude and Ellipsoid::InverseIsometricLatitude. -(For prolate ellipsoids, \f$f\f$ is negative and \f$e\f$ is imaginary, -and the equation for \f$\sigma\f$ needs to be recast in terms of the -tangent function.) - -For small values of \f$f\f$, Engsager and Poder (2007) express -\f$\chi\f$ as a trigonometric series in \f$\phi\f$. This series can be -reverted to give a series for \f$\phi\f$ in terms of \f$\chi\f$. Both -series can be efficiently evaluated using Clenshaw summation and this -provides a fast non-iterative way of making the conversions. - -Parametric latitude: This is given by -\f[ -\tan\beta = (1-f)\tan\phi, -\f] -which allows rapid and accurate conversions; these conversions are -implemented by Ellipsoid::ParametricLatitude and -Ellipsoid::InverseParametricLatitude. - -Rectifying latitude: Solving for distances on the meridian is -naturally carried out in terms of the parametric latitude instead of the -geographical latitude. This leads to a simpler elliptic integral which -is easier to evaluate and to invert. Helmert (1880, §5.11) notes -that the series for meridian distance in terms of \f$\beta\f$ converge -faster than the corresponding ones in terms of \f$\phi\f$. - -In terms of \f$\beta\f$, the rectifying latitude is given by -\f[ -\mu = \frac{\pi}{2E(ie')} E(\beta,ie'), -\f] -where \f$e'=e/\sqrt{1-e^2}\f$ is the second eccentricity and \f$E(k)\f$ -and \f$E(\phi,k)\f$ are the complete and incomplete elliptic integrals -of the second kind; see https://dlmf.nist.gov/19.2.ii. These can be -evaluated accurately for arbitrary flattening using the method given in -https://dlmf.nist.gov/19.36.i. To find \f$\beta\f$ in terms of -\f$\mu\f$, Newton's method can be used (noting that \f$dE(\phi,k)/d\phi -= \sqrt{1 - k^2\sin^2\phi}\f$); for a starting guess use \f$\beta_0 = -\mu\f$ (or use the first terms in the reverted series; see below). -These conversions are implemented by Ellipsoid::RectifyingLatitude and -Ellipsoid::InverseRectifyingLatitude. - -If the flattening is small, \f$\mu\f$ can be expressed as a series in -various ways. The most economical series is in terms of the third -flattening \f$ n = f/(2-f)\f$ and was found by Bessel (1825); see -Eq. 5.5.7 of Helmert (1880). Helmert (1880, Eq. 5.6.8) also gives the -reverted series (finding \f$\beta\f$ given \f$\mu\f$). These series are -used by the Geodesic class where the coefficients are \f$C_{1j}\f$ and -\f$C_{1j}'\f$; see Eqs. (18) and (21) of Karney (2013) and \ref -geodseries. (Make the replacements, \f$\sigma\rightarrow\beta\f$, -\f$\tau\rightarrow\mu\f$, \f$\epsilon\rightarrow n\f$, to convert the -notation of the geodesic problem to the problem at hand.) The series -are evaluated by Clenshaw summation. - -These relations allow inter-conversions between the various latitudes -\f$\phi\f$, \f$\psi\f$, \f$\chi\f$, \f$\beta\f$, \f$\mu\f$ to be carried -out simply and accurately. The approaches using series apply only if -\f$f\f$ is small. The others apply for arbitrary values of \f$f\f$. - -\section rhumbarea The area under a rhumb line - -The area between a rhumb line and the equator is given by -\f[ -S_{12} = \int_{\lambda_1}^{\lambda_2} c^2 \sin\xi \,d\lambda, -\f] -where \f$c\f$ is the authalic radius and \f$\xi\f$ is the authalic -latitude. Express \f$\sin\xi\f$ in terms of the conformal latitude -\f$\chi\f$ and expand as a series in the third flattening \f$n\f$. This -can be expressed in terms of powers of \f$\sin\chi\f$. Substitute -\f$\sin\chi=\tanh\psi\f$, where \f$\psi\f$ is the isometric latitude. -For a rhumb line we have -\f[ -\begin{align} -\psi &= m(\lambda-\lambda_0),\\ -m &= \frac{\psi_2 - \psi_1}{\lambda_2 - \lambda_1}. -\end{align} -\f] -Performing the integral over \f$\lambda\f$ gives -\f[ -S_{12} = c^2 \lambda_{12} \left<\sin\xi\right>_{12}, -\f] -where \f$\left<\sin\xi\right>_{12}\f$ is the mean value of \f$\sin\xi\f$ -given by -\f[ -\begin{align} -\left<\sin\xi\right>_{12} &= \frac{S(\chi_2) - S(\chi_1)}{\psi_2 - \psi_1},\\ -S(\chi) &= \log\sec\chi + \sum_{l=1} R_l\cos(2l\chi), -\end{align} -\f] -\f$\log\f$ is the natural logarithm, and \f$R_l = O(n^l)\f$ is given as -a series in \f$n\f$ below. In the spherical limit, the sum vanishes. - -Note the simple way that longitude enters into the expression for the -area. In the limit \f$\chi_2 \rightarrow \chi_1\f$, we can apply -l'Hôpital's rule -\f[ -\left<\sin\xi\right>_{12} -\rightarrow \frac{dS(\chi_1)/d\chi_1}{\sec\chi_1} -=\sin\xi_1, -\f] -as expected. - -In order to maintain accuracy, particularly for rhumb lines which nearly -follow a parallel, evaluate \f$\left<\sin\xi\right>_{12}\f$ using -divided differences (see the \ref divideddiffs "next section") and use -Clenshaw summation to evaluate the sum (see the \ref dividedclenshaw -"last section"). - -Here is the series expansion accurate to 10th order, found by the Maxima -script rhumbarea.mac: - -\verbatim -R[1] = - 1/3 * n - + 22/45 * n^2 - - 356/945 * n^3 - + 1772/14175 * n^4 - + 41662/467775 * n^5 - - 114456994/638512875 * n^6 - + 258618446/1915538625 * n^7 - - 1053168268/37574026875 * n^8 - - 9127715873002/194896477400625 * n^9 - + 33380126058386/656284056553125 * n^10; -R[2] = - 2/15 * n^2 - + 106/315 * n^3 - - 1747/4725 * n^4 - + 18118/155925 * n^5 - + 51304574/212837625 * n^6 - - 248174686/638512875 * n^7 - + 2800191349/14801889375 * n^8 - + 10890707749202/64965492466875 * n^9 - - 3594078400868794/10719306257034375 * n^10; -R[3] = - 31/315 * n^3 - + 104/315 * n^4 - - 23011/51975 * n^5 - + 1554472/14189175 * n^6 - + 114450437/212837625 * n^7 - - 8934064508/10854718875 * n^8 - + 4913033737121/21655164155625 * n^9 - + 591251098891888/714620417135625 * n^10; -R[4] = - 41/420 * n^4 - + 274/693 * n^5 - - 1228489/2027025 * n^6 - + 3861434/42567525 * n^7 - + 1788295991/1550674125 * n^8 - - 215233237178/123743795175 * n^9 - + 95577582133463/714620417135625 * n^10; -R[5] = - 668/5775 * n^5 - + 1092376/2027025 * n^6 - - 3966679/4343625 * n^7 - + 359094172/10854718875 * n^8 - + 7597613999411/3093594879375 * n^9 - - 378396252233936/102088631019375 * n^10; -R[6] = - 313076/2027025 * n^6 - + 4892722/6081075 * n^7 - - 1234918799/834978375 * n^8 - - 74958999806/618718975875 * n^9 - + 48696857431916/9280784638125 * n^10; -R[7] = - 3189007/14189175 * n^7 - + 930092876/723647925 * n^8 - - 522477774212/206239658625 * n^9 - - 2163049830386/4331032831125 * n^10; -R[8] = - 673429061/1929727800 * n^8 - + 16523158892/7638505875 * n^9 - - 85076917909/18749059875 * n^10; -R[9] = - 39191022457/68746552875 * n^9 - + 260863656866/68746552875 * n^10; -R[10] = - 22228737368/22915517625 * n^10; -\endverbatim - -\section divideddiffs Use of divided differences - -Despite our ability to compute latitudes accurately, the way that -distances enter into the solution involves the ratio -\f$\mu_{12}/\psi_{12}\f$; the numerical calculation of this term is -subject to catastrophic round-off errors when \f$\phi_1\f$ and -\f$\phi_2\f$ are close. A simple solution, suggested by Bennett (1996), -is to extend the treatment of rhumb lines along parallels to this case, -i.e., to replace the ratio by the derivative evaluated at the midpoint. -However this is not entirely satisfactory: you have to pick the -transition point where the derivative takes over from the ratio of -differences; and, near this transition point, many bits of accuracy will -be lost (I estimate that about 1/3 of bits are lost, leading to errors -on the order of 0.1 mm for double precision). Note too that this -problem crops up even in the spherical limit. - -It turns out that we can do substantially better than this and maintain -full double precision accuracy. Indeed Botnev and Ustinov provide -formulas which allow \f$\mu_{12}/\psi_{12}\f$ to be computed accurately -(but the formula for \f$\mu_{12}\f$ applies only for small flattening). - -Here I give a more systematic treatment using the algebra of divided -differences. Many readers will be already using this technique, -e.g., when writing, for example, -\f[ - \frac{\sin(2x) - \sin(2y)}{x-y} = 2\frac{\sin(x-y)}{x-y}\cos(x+y). -\f] -However, Kahan and Fateman (1999) provide an extensive set of rules -which allow the technique to be applied to a wide range of problems. -(The classes LambertConformalConic and AlbersEqualArea use this -technique to improve the accuracy.) - -To illustrate the technique, consider the relation between \f$\psi\f$ -and \f$\chi\f$, -\f[ - \psi = \sinh^{-1}\tan\chi. -\f] -The divided difference operator is defined by -\f[ - \Delta[f](x,y) = -\begin{cases} -df(x)/dx, & \text{if $x=y$,} \\ -\displaystyle\frac{f(x)-f(y)}{x-y}, & \text{otherwise.} -\end{cases} -\f] -Many of the rules for differentiation apply to divided differences; in -particular, we can use the chain rule to write -\f[ -\frac{\psi_1 - \psi_2}{\chi_1 - \chi_2} -= \Delta[\sinh^{-1}](\tan\chi_1,\tan\chi_2) \times - \Delta[\tan](\chi_1,\chi_2). -\f] - -Kahan and Fateman catalog the divided difference formulas for all the -elementary functions. In this case, we need -\f[ -\begin{align} -\Delta[\tan](x,y) &= \frac{\tan(x-y)}{x-y} (1 + \tan x\tan y),\\ -\Delta[\sinh^{-1}](x,y) &= \frac1{x-y} -\sinh^{-1}\biggl(\frac{(x-y)(x+y)}{x\sqrt{1+y^2}+y\sqrt{1+x^2}}\biggr). -\end{align} -\f] -The crucial point in these formulas is that the right hand sides can be -evaluated accurately even if \f$x-y\f$ is small. (I've only included -the basic results here; Kahan and Fateman supplement these with the -derivatives if \f$x-y\f$ vanishes or the direct ratios if \f$x-y\f$ is -not small.) - -To complete the computation of \f$\mu_{12}/\psi_{12}\f$, we now need -\f$(\mu_1 - \mu_2)/(\chi_1 - \chi_2)\f$, i.e., we need the divided -difference of the function that converts the conformal latitude to -rectifying latitude. We could go through the chain of relations between -these quantities. However, we can take a short cut and recognize that -this function was given as a trigonometric series by Krüger (1912) -in his development of the transverse Mercator projection. This is also -given by Eqs. (5) and (35) of Karney (2011) with the replacements -\f$\zeta \rightarrow \mu\f$ and \f$\zeta' \rightarrow \chi\f$. The -coefficients appearing in this series and the reverted series Eqs. (6) -and (36) are already computed by the TransverseMercator class. The -series can be readily converted to divided difference form (see the -example at the beginning of this section) and Clenshaw summation can be -used to evaluate it (see below). - -The approach of using the series for the transverse Mercator projection -limits the applicability of the method to \f$\left|f\right|\lt 0.01\f$. -If we want to extend the method to arbitrary flattening we need to -compute \f$\Delta[E](x,y;k)\f$. The necessary relation is the "addition -theorem" for the incomplete elliptic integral of the second kind given -in https://dlmf.nist.gov/19.11.E2. This can be converted in the -following divided difference formula -\f[ -\Delta[E](x,y;k) -=\begin{cases} -\sqrt{1 - k^2\sin^2x}, & \text{if $x=y$,} \\ -\displaystyle \frac{E(x,k)-E(y,k)}{x-y}, & \text{if $xy \le0$,}\\ -\displaystyle -\biggl(\frac{E(z,k)}{\sin z} - k^2 \sin x \sin y\biggr)\frac{\sin z}{x-y}, -&\text{otherwise,} -\end{cases} -\f] -where the angle \f$z\f$ is given by -\f[ -\begin{align} -\sin z &= \frac{2t}{1 + t^2},\quad\cos z = \frac{(1-t)(1+t)}{1 + t^2},\\ -t &= -\frac{(x-y)\Delta[\sin](x,y)} -{\sin x\sqrt{1 - k^2\sin^2y} + \sin y\sqrt{1 - k^2\sin^2x}} -\frac{\sin x + \sin y}{\cos x + \cos y}. -\end{align} -\f] -We also need to apply the divided difference formulas to the conversions -from \f$\phi\f$ to \f$\beta\f$ and \f$\phi\f$ to \f$\psi\f$; but these -all involve elementary functions and the techniques given in Kahan and -Fateman can be used. - -The end result is that the Rhumb class allows the computation of all -rhumb lines for any flattening with full double precision accuracy (the -maximum error is about 10 nanometers). I've kept the implementation -simple, which results in rather a lot of repeated evaluations of -quantities. However, in this case, the need for clarity trumps the -desire for speed. - -\section dividedclenshaw Clenshaw evaluation of differenced sums - -The use of - -Clenshaw summation for summing series of the form, -\f[ -g(x) = \sum_{k=1}^N c_k \sin kx, -\f] -is well established. However when computing divided differences, we are -interested in evaluating -\f[ -g(x)-g(y) = \sum_{k=1}^N 2 c_k -\sin\bigl({\textstyle\frac12}k(x-y)\bigr) -\cos\bigl({\textstyle\frac12}k(x+y)\bigr). -\f] -Clenshaw summation can be used in this case if we simultaneously compute -\f$g(x)+g(y)\f$ and perform a matrix summation, -\f[ -\mathsf G(x,y) = \begin{bmatrix} -(g(x) + g(y)) / 2\\ -(g(x) - g(y)) / (x - y) -\end{bmatrix} = \sum_{k=1}^N c_k \mathsf F_k(x,y), -\f] -where -\f[ -\mathsf F_k(x,y)= -\begin{bmatrix} - \cos kd \sin kp\\ - {\displaystyle\frac{\sin kd}d} \cos kp -\end{bmatrix}, -\f] -\f$d=\frac12(x-y)\f$, \f$p=\frac12(x+y)\f$, and, in the limit -\f$d\rightarrow0\f$, \f$(\sin kd)/d \rightarrow k\f$. The first element -of \f$\mathsf G(x,y)\f$ is the average value of \f$g\f$ and the second -element, the divided difference, is the average slope. \f$\mathsf -F_k(x,y)\f$ satisfies the recurrence relation -\f[ - \mathsf F_{k+1}(x,y) = - \mathsf A(x,y) \mathsf F_k(x,y) - \mathsf F_{k-1}(x,y), -\f] -where -\f[ - \mathsf A(x,y) = 2\begin{bmatrix} - \cos d \cos p & -d\sin d \sin p \\ -- {\displaystyle\frac{\sin d}d} \sin p & \cos d \cos p -\end{bmatrix}, -\f] -and \f$\lim_{d\rightarrow0}(\sin d)/d = 1\f$. The standard Clenshaw -algorithm can now be applied to yield -\f[ -\begin{align} -\mathsf B_{N+1} &= \mathsf B_{N+2} = \mathsf 0, \\ -\mathsf B_k &= \mathsf A \mathsf B_{k+1} - \mathsf B_{k+2} + -c_k \mathsf I, \qquad\text{for $N\ge k \ge 1$},\\ -\mathsf G(x,y) &= \mathsf B_1 \mathsf F_1(x,y), -\end{align} -\f] -where \f$\mathsf B_k\f$ are \f$2\times2\f$ matrices. The divided -difference \f$\Delta[g](x,y)\f$ is given by the second element of -\f$\mathsf G(x,y)\f$. - -The same basic recursion applies to the more general case, -\f[ -g(x) = \sum_{k=0}^N c_k \sin\bigl( (k+k_0)x + x_0\bigr). -\f] -For example, the sum area arising in the computation of geodesic areas, -\f[ -\sum_{k=0}^N c_k\cos\bigl((2k+1)\sigma) -\f] -is given by \f$x=2\sigma\f$, \f$x_0=\frac12\pi\f$, \f$k_0=\frac12\f$. -Again we consider the matrix sum, -\f[ -\mathsf G(x,y) = \begin{bmatrix} -(g(x) + g(y)) / 2\\ -(g(x) - g(y)) / (x - y) -\end{bmatrix} = \sum_{k=0}^N c_k \mathsf F_k(x,y), -\f] -where -\f[ -\mathsf F_k(x,y)= -\begin{bmatrix} - \cos\bigl( (k+k_0)d \bigr) \sin \bigl( (k+k_0)p + x_0 \bigr)\\ - {\displaystyle\frac{\sin\bigl( (k+k_0)d \bigr)}d} - \cos \bigl( (k+k_0)p + x_0 \bigr) -\end{bmatrix}. -\f] -The recursion for \f$\mathsf B_k\f$ is identical to the previous case; -in particular, the expression for \f$\mathsf A(x,y)\f$ remains -unchanged. The result for the sum is -\f[ -\mathsf G(x,y) = - (c_0\mathsf I - \mathsf B_2) \mathsf F_0(x,y) - + \mathsf B_1 \mathsf F_1(x,y). -\f] - -
-Back to \ref jacobi. Forward to \ref greatellipse. Up to \ref contents. -
- -**********************************************************************/ -/** -\page greatellipse Great Ellipses - -
-Back to \ref rhumb. Forward to \ref transversemercator. Up to \ref contents. -
- -Great ellipses are sometimes proposed (Williams, 1996; Pallikaris & -Latsas, 2009) as alternatives to geodesics for the purposes of -navigation. This is predicated on the assumption that solving the -geodesic problems is complex and costly. These assumptions are no -longer true, and geodesics should normally be used in place of great -ellipses. This is discussed in more detail in \ref gevsgeodesic. - -Solutions of the great ellipse problems implemented for MATLAB and -Octave are provided by - - gedoc: briefly describe the routines - - gereckon: solve the direct great ellipse problem - - gedistance: solve the inverse great ellipse problem - . -At this time, there is C++ support in GeographicLib for great -ellipses. - -References: - - P. D. Thomas, - - Mathematical Models for Navigation Systems, - TR-182 (U.S. Naval Oceanographic Office, 1965). - - B. R. Bowring, - - The direct and inverse solutions for the great elliptic line on the - reference ellipsoid, Bull. Geod. 58, 101--108 (1984). - - M. A. Earle, - A vector solution for navigation on a great ellipse, - J. Navigation 53(3), 473--481 (2000). - - M. A. Earle, - - Vector solutions for azimuth, - J. Navigation 61(3), 537--545 (2008). - - C. F. F. Karney, - - Algorithms for geodesics, J. Geodesy 87(1), 43--55 (2013); - addenda: - geod-addenda.html. - - A. Pallikaris & G. Latsas, - - New algorithm for great elliptic sailing (GES), - J. Navigation 62(3), 493--507 (2009). - - A. Pallikaris, L. Tsoulos, & D. Paradissis, - New meridian arc formulas for sailing calculations in navigational - GIS, International Hydrographic Review, 24--34 (May 2009). - - L. E. Sjöberg, - - Solutions to the direct and inverse navigation problems on the great - ellipse, J. Geodetic Science 2(3), 200--205 (2012). - - R. Williams, - - The Great Ellipse on the Surface of the Spheroid, - J. Navigation 49(2), 229--234 (1996). - - T. Vincenty, - - Direct and Inverse Solutions of Geodesics on the Ellipsoid with - Application of Nested Equations, - Survey Review 23(176), 88--93 (1975). - - Wikipedia page, - Great ellipse. - -Go to - - \ref geformulation - - \ref gearea - - \ref gevsgeodesic - -\section geformulation Solution of great ellipse problems - -Adopt the usual notation for the ellipsoid: equatorial semi-axis -\f$a\f$, polar semi-axis \f$b\f$, flattening \f$f = (a-b)/a\f$, -eccentricity \f$e = \sqrt{f(2-f)}\f$, second eccentricity \f$e' = -e/(1-f)\f$, and third flattening \f$n=(a-b)/(a+b)=f/(2-f)\f$. - -There are several ways in which an ellipsoid can be mapped into a sphere -converting the great ellipse into a great circle. The simplest ones -entail scaling the ellipsoid in the \f$\hat z\f$ direction, the -direction of the axis of rotation, scaling the ellipsoid radially, or a -combination of the two. - -One such combination (scaling by \f$a^2/b\f$ in the \f$\hat z\f$ -direction, following by a radial scaling to the sphere) preserves the -geographical latitude \f$\phi\f$. This enables a great ellipse to be -plotted on a chart merely by determining way points on the corresponding -great circle and transferring them directly on the chart. In this -exercise the flattening of the ellipsoid can be ignored! - -Bowring (1984), Williams (1996), Earle (2000, 2008) and Pallikaris & -Latsas (2009), scale the ellipsoid radially onto a sphere preserving the -geocentric latitude \f$\theta\f$. More convenient than this is to scale -the ellipsoid along \f$\hat z\f$ onto the sphere, as is done by -Thomas (1965) and Sjöberg (2012), thus preserving the parametric -latitude \f$\beta\f$. The advantage of this "parametric" mapping is -that Bessel's rapidly converging series for meridian arc in terms of -parametric latitude can be used (a possibility that is overlooked by -Sjöberg). - -The full parametric mapping is: - - The geographic latitude \f$\phi\f$ on the ellipsoid maps to the - parametric latitude \f$\beta\f$ on the sphere, - where - \f[a\tan\beta = b\tan\phi.\f] - - The longitude \f$\lambda\f$ is unchanged. - - The azimuth \f$\alpha\f$ on the ellipsoid maps to an azimuth - \f$\gamma\f$ on the sphere where - \f[ - \begin{align} - \tan\alpha &= \frac{\tan\gamma}{\sqrt{1-e^2\cos^2\beta}}, \\ - \tan\gamma &= \frac{\tan\alpha}{\sqrt{1+e'^2\cos^2\phi}}, - \end{align} - \f] - and the quadrants of \f$\alpha\f$ and \f$\gamma\f$ are the same. - - Positions on the great circle of radius \f$a\f$ are parametrized by - arc length \f$\sigma\f$ measured from the northward crossing of the - equator. The great ellipse has semi-axes \f$a\f$ and - \f$b'=a\sqrt{1-e^2\cos^2\gamma_0}\f$, where \f$\gamma_0\f$ is the - great-circle azimuth at the northward equator crossing, and - \f$\sigma\f$ is the parametric angle on the ellipse. [In contrast, - the ellipse giving distances on a geodesic has semi-axes - \f$b\sqrt{1+e'^2\cos^2\alpha_0}\f$ and \f$b\f$.] - . -To determine the distance along the ellipse in terms of \f$\sigma\f$ and -vice versa, the series for distance \f$s\f$ and for \f$\tau\f$ given in -\ref geodseries can be used. The direct and inverse great ellipse -problems are now simply solved by mapping the problem to the sphere, -solving the resulting great circle problem, and mapping this back onto -the ellipsoid. - -\section gearea The area under a great ellipse - -The area between the segment of a great ellipse and the equator can be -found by very similar methods to those used for geodesic areas; see - Danielsen -(1989). The notation here is similar to that employed by - Karney -(2013). -\f[ -\begin{align} -S_{12} &= S(\sigma_2) - S(\sigma_1) \\ -S(\sigma) &= c^2\gamma + e^2 a^2 \cos\gamma_0 \sin\gamma_0 I_4(\sigma)\\ -c^2 &= {\textstyle\frac12}\bigl(a^2 + b^2 (\tanh^{-1}e)/e\bigr) -\end{align} -\f] -\f[ -I_4(\sigma) = - \sqrt{1+e'^2}\int -\frac{r(e'^2) - r(k^2\sin^2\sigma)}{e'^2 - k^2\sin^2\sigma} -\frac{\sin\sigma}2 \,d\sigma -\f] -\f[ -\begin{align} -k &= e' \cos\gamma_0,\\ -r(x) &= \sqrt{1+x} + (\sinh^{-1}\sqrt x)/\sqrt x. -\end{align} -\f] -Expand in terms of the third flattening of the ellipsoid, \f$n\f$, and the -third flattening of the great ellipse, \f$\epsilon=(a-b')/(a+b')\f$, by -substituting -\f[ -\begin{align} -e'&=\frac{2\sqrt n}{1-n},\\ -k&=\frac{1+n}{1-n} \frac{2\sqrt{\epsilon}}{1+\epsilon}, -\end{align} -\f] -to give -\f[ -I_4(\sigma) = \sum_{l = 0}^\infty G_{4l}\cos \bigl((2l+1)\sigma\bigr). -\f] -Compared to the area under a geodesic, we have -- \f$\gamma\f$ and \f$\gamma_0\f$ instead of \f$\alpha\f$ and - \f$\alpha_0\f$. In both cases, these are azimuths on the auxiliary - sphere; however, for the geodesic, they are also the azimuths on the - ellipsoid. -- \f$r(x) = \bigl(1+t(x)\bigr)/\sqrt{1+x}\f$ instead of \f$t(x)\f$ with - a balancing factor of \f$\sqrt{1+e'^2}\f$ appearing in front of the - integral. These changes are because expressing - \f$\sin\phi\,d\lambda\f$ in terms of \f$\sigma\f$ is a little more - complicated with great ellipses. (Don't worry about the addition of - \f$1\f$ to \f$t(x)\f$; that's immaterial.) -- the factors involving \f$n\f$ in the expression for \f$k\f$ in terms - of \f$\epsilon\f$. This is because \f$k\f$ is defined in terms of - \f$e'\f$, whereas it is \f$e\cos\gamma_0\f$ that plays the role of the - eccentricity for the great ellipse. - -Here is the series expansion accurate to 10th order, found by -gearea.mac: - -\verbatim -G4[0] = + (1/6 + 7/30 * n + 8/105 * n^2 + 4/315 * n^3 + 16/3465 * n^4 + 20/9009 * n^5 + 8/6435 * n^6 + 28/36465 * n^7 + 32/62985 * n^8 + 4/11305 * n^9) - - (3/40 + 12/35 * n + 589/840 * n^2 + 1063/1155 * n^3 + 14743/15015 * n^4 + 14899/15015 * n^5 + 254207/255255 * n^6 + 691127/692835 * n^7 + 1614023/1616615 * n^8) * eps - + (67/280 + 7081/5040 * n + 5519/1320 * n^2 + 6417449/720720 * n^3 + 708713/45045 * n^4 + 2700154/109395 * n^5 + 519037063/14549535 * n^6 + 78681626/1616615 * n^7) * eps^2 - - (29597/40320 + 30013/5280 * n + 33759497/1441440 * n^2 + 100611307/1441440 * n^3 + 16639623457/98017920 * n^4 + 3789780779/10581480 * n^5 + 1027832503/1511640 * n^6) * eps^3 - + (357407/147840 + 19833349/823680 * n + 61890679/480480 * n^2 + 97030756063/196035840 * n^3 + 2853930388817/1862340480 * n^4 + 15123282583393/3724680960 * n^5) * eps^4 - - (13200233/1537536 + 306285589/2882880 * n + 26279482199/37340160 * n^2 + 3091446335399/931170240 * n^3 + 93089556575647/7449361920 * n^4) * eps^5 - + (107042267/3294720 + 253176989449/522762240 * n + 57210830762263/14898723840 * n^2 + 641067300459403/29797447680 * n^3) * eps^6 - - (51544067373/398295040 + 38586720036247/17027112960 * n + 104152290127363/4966241280 * n^2) * eps^7 - + (369575321823/687964160 + 1721481081751393/158919720960 * n) * eps^8 - - 10251814360817/4445306880 * eps^9; -G4[1] = + (1/120 + 4/105 * n + 589/7560 * n^2 + 1063/10395 * n^3 + 14743/135135 * n^4 + 14899/135135 * n^5 + 254207/2297295 * n^6 + 691127/6235515 * n^7 + 1614023/14549535 * n^8) * eps - - (53/1680 + 847/4320 * n + 102941/166320 * n^2 + 1991747/1441440 * n^3 + 226409/90090 * n^4 + 3065752/765765 * n^5 + 24256057/4157010 * n^6 + 349229428/43648605 * n^7) * eps^2 - + (4633/40320 + 315851/332640 * n + 5948333/1441440 * n^2 + 11046565/864864 * n^3 + 9366910279/294053760 * n^4 + 23863367599/349188840 * n^5 + 45824943037/349188840 * n^6) * eps^3 - - (8021/18480 + 39452953/8648640 * n + 3433618/135135 * n^2 + 29548772933/294053760 * n^3 + 44355142973/139675536 * n^4 + 4771229132843/5587021440 * n^5) * eps^4 - + (2625577/1537536 + 5439457/247104 * n + 353552588953/2352430080 * n^2 + 405002114215/558702144 * n^3 + 61996934629789/22348085760 * n^4) * eps^5 - - (91909777/13178880 + 2017395395921/18819440640 * n + 51831652526149/59594895360 * n^2 + 1773086701957889/357569372160 * n^3) * eps^6 - + (35166639971/1194885120 + 26948019211109/51081338880 * n + 7934238355871/1596291840 * n^2) * eps^7 - - (131854991623/1031946240 + 312710596037369/119189790720 * n) * eps^8 - + 842282436291/1481768960 * eps^9; -G4[2] = + (1/560 + 29/2016 * n + 1027/18480 * n^2 + 203633/1441440 * n^3 + 124051/450450 * n^4 + 1738138/3828825 * n^5 + 98011493/145495350 * n^6 + 4527382/4849845 * n^7) * eps^2 - - (533/40320 + 14269/110880 * n + 908669/1441440 * n^2 + 15253627/7207200 * n^3 + 910103119/163363200 * n^4 + 2403810527/193993800 * n^5 + 746888717/30630600 * n^6) * eps^3 - + (2669/36960 + 2443153/2882880 * n + 1024791/200200 * n^2 + 10517570057/490089600 * n^3 + 164668999127/2327925600 * n^4 + 1826633124599/9311702400 * n^5) * eps^4 - - (5512967/15375360 + 28823749/5765760 * n + 31539382001/871270400 * n^2 + 1699098121381/9311702400 * n^3 + 287618085731/398361600 * n^4) * eps^5 - + (22684703/13178880 + 25126873327/896163840 * n + 10124249914577/42567782400 * n^2 + 836412216748957/595948953600 * n^3) * eps^6 - - (3259030001/398295040 + 2610375232847/17027112960 * n + 2121882247763/1418926080 * n^2) * eps^7 - + (13387413913/343982080 + 939097138279/1135140864 * n) * eps^8 - - 82722916855/444530688 * eps^9; -G4[3] = + (5/8064 + 23/3168 * n + 1715/41184 * n^2 + 76061/480480 * n^3 + 812779/1782144 * n^4 + 9661921/8953560 * n^5 + 40072069/18106088 * n^6) * eps^3 - - (409/59136 + 10211/109824 * n + 46381/73920 * n^2 + 124922951/43563520 * n^3 + 12524132449/1241560320 * n^4 + 30022391821/1022461440 * n^5) * eps^4 - + (22397/439296 + 302399/384384 * n + 461624513/74680320 * n^2 + 1375058687/41385344 * n^3 + 4805085120841/34763688960 * n^4) * eps^5 - - (14650421/46126080 + 17533571183/3136573440 * n + 1503945368767/29797447680 * n^2 + 43536234862451/139054755840 * n^3) * eps^6 - + (5074867067/2788065280 + 479752611137/13243310080 * n + 1228808683449/3310827520 * n^2) * eps^7 - - (12004715823/1203937280 + 17671119291563/79459860480 * n) * eps^8 - + 118372499107/2222653440 * eps^9; -G4[4] = + (7/25344 + 469/109824 * n + 13439/411840 * n^2 + 9282863/56010240 * n^3 + 37558503/59121920 * n^4 + 44204289461/22348085760 * n^5) * eps^4 - - (5453/1317888 + 58753/823680 * n + 138158857/224040960 * n^2 + 191056103/53209728 * n^3 + 712704605341/44696171520 * n^4) * eps^5 - + (28213/732160 + 331920271/448081920 * n + 2046013913/283785216 * n^2 + 11489035343/241274880 * n^3) * eps^6 - - (346326947/1194885120 + 11716182499/1891901440 * n + 860494893431/12770334720 * n^2) * eps^7 - + (750128501/386979840 + 425425087409/9287516160 * n) * eps^8 - - 80510858479/6667960320 * eps^9; -G4[5] = + (21/146432 + 23/8320 * n + 59859/2263040 * n^2 + 452691/2687360 * n^3 + 21458911/26557440 * n^4) * eps^5 - - (3959/1464320 + 516077/9052160 * n + 51814927/85995520 * n^2 + 15444083489/3611811840 * n^3) * eps^6 - + (1103391/36208640 + 120920041/171991040 * n + 18522863/2263040 * n^2) * eps^7 - - (92526613/343982080 + 24477436759/3611811840 * n) * eps^8 - + 1526273559/740884480 * eps^9; -G4[6] = + (11/133120 + 1331/696320 * n + 145541/6615040 * n^2 + 46863487/277831680 * n^3) * eps^6 - - (68079/36208640 + 621093/13230080 * n + 399883/680960 * n^2) * eps^7 - + (658669/26460160 + 186416197/277831680 * n) * eps^8 - - 748030679/2963537920 * eps^9; -G4[7] = + (143/2785280 + 11011/7938048 * n + 972829/52093440 * n^2) * eps^7 - - (434863/317521920 + 263678129/6667960320 * n) * eps^8 - + 185257501/8890613760 * eps^9; -G4[8] = + (715/21168128 + 27313/26148864 * n) * eps^8 - - 1838551/1778122752 * eps^9; -G4[9] = + 2431/104595456 * eps^9; -\endverbatim - -\section gevsgeodesic Great ellipses vs geodesics - -Some papers advocating the use of great ellipses for navigation exhibit -a prejudice against the use of geodesics. These excerpts from -Pallikaris, Tsoulos, & Paradissis (2009) give the flavor - - … it is required to adopt realistic accuracy standards in order not - only to eliminate the significant errors of the spherical model but - also to avoid the exaggerated and unrealistic requirements of sub - meter accuracy. - - Calculation of shortest sailings paths on the ellipsoid by a geodetic - inverse method involve formulas that are much too complex. - - Despite the fact that contemporary computers are fast enough to - handle more complete geodetic formulas of sub meter accuracy, a basic - principle for the design of navigational systems is the avoidance of - unnecessary consumption of computing power. - . -This prejudice was probably due to the fact that the most well-known -algorithms for geodesics, by Vincenty (1975), come with some -"asterisks": - - no derivation was given (although they follow in a straightforward - fashion from classic 19th century methods); - - the accuracy is "only" 0.5 mm or so, surely good enough for most - applications, but still a reason for a user to worry and a spur to - numerous studies "validating" the algorithms; - - no indication is given for how to extend the series to improve the - accuracy; - - there was a belief in some quarters (erroneous!) that the Vincenty - algorithms could not be used to compute waypoints; - - the algorithm for the inverse problem fails to converge for some - inputs. - . -These problems meant that users were reluctant to bundle the algorithms -into a library and treat them as a part of the software infrastructure -(much as you might regard the computation of \f$\sin x\f$ as a given). -In particular, I regard the last issue, lack of convergence of the -inverse solution, as fatal. Even though the problem only arises for -nearly antipodal points, it means all users of the library must have -some way to handle this problem. - -For these reasons, substitution of a great ellipse for the geodesic -makes some sense. The solution of the great ellipse is, in principle, -no more difficult than solving for the great circle and, for paths of -less then 10000 km, the error in the distance is less than -13.5 m. - -Now (2014), however, the situation has reversed. The algorithms given -by Karney (2013)—and used in GeographicLib since -2009—explicitly resolve the issues with Vincenty's algorithm. The -geodesic problem is conveniently bundled into a library. Users can call -this with an assurance of an accurate result much as they would when -evaluating \f$\sin x\f$. On the other hand, great ellipses come with -their own set of asterisks: - - To the extent that they are regarded as approximations to geodesics, - the errors need to be quantified, the limits of allowable use - documented, etc. - - The user is now left with decisions on when to trust the results and - to find alternative solutions if necessary. - - Even though the great ellipse is no more that 13.5 m longer than - a 10000 km geodesic, the path of the great ellipse can deviate - from the geodesic by as much as 8.3 km. This disqualifies great - ellipses from use in congested air corridors where the - - strategic lateral offset procedure is in effect and in any - situation which demands coordination in the routes of vessels. - - Because geodesics obey the triangle inequality, while great ellipses - do not, the solutions for realistic navigational problems, e.g., - determining the time of closest approach of two vessels, are often - simpler in terms of geodesics. - -To address some other of the objections in the quotes from Pallikaris et -al. given above: - - "exaggerated and unrealistic requirements of sub meter accuracy": The - geodesic algorithms allow full double precision accuracy at - essentially no cost. This is because Clenshaw summation allows - additional terms to be added to the series without the need for - addition trigonometric evaluations. Full accuracy is important to - maintain because it allows the results to be used reliably in more - complex problems (e.g., in the determination of maritime boundaries). - - "unnecessary consumption of computing power": The solution of the - inverse geodesic problem takes 2.3 μs; multiple points on a - geodesic can be computed at a rate of one point per 0.4 μs. - The actual power consumed in these calculations is minuscule compared - to the power needed to drive the display of a navigational computer. - - "formulas that are much too complex": There's no question that the - solution of the geodesic problem is more complex than for great - ellipses. However this complexity is only an issue when - implementing the algorithms. For the end user, - navigational software employing geodesics is less complex - compared with that employing great ellipses. Here is what the user - needs to know about the geodesic solution: -
"The shortest path is found."
- And here is the corresponding documentation for great ellipses: -
"A path which closely approximates the shortest path is - found. Provided that the distance is less than 10000 km, the - error in distance is no more than 14 m and the deviation the - route from that of the shortest path is no more than 9 km. - These bounds apply to the WGS84 ellipsoid. The deviation of the path - means that it should be used with caution when planning routes. In - addition, great ellipses do not obey the triangle inequality; this - disqualifies them from use in some applications."
- -Having all the geodesic functions bundled up into a reliable "black box" -enables users to concentrate on how to solve problems using geodesics -(instead of figuring out how to solve for the geodesics). A wide range -of problems (intersection of paths, the path for an interception, the -time of closest approach, median lines, tri-points, etc.) are all -amenable to simple and fast solutions in terms of geodesics. - -
-Back to \ref rhumb. Forward to \ref transversemercator. Up to \ref contents. -
- -**********************************************************************/ -/** -\page transversemercator Transverse Mercator projection - -
-Back to \ref greatellipse. Forward to \ref geocentric. Up to \ref contents. -
- -TransverseMercator and TransverseMercatorExact provide accurate -implementations of the transverse Mercator projection. The -TransverseMercatorProj -utility provides an interface to these classes. - -Go to - - \ref testmerc - - \ref tmseries - - \ref tmfigures - -References: - - L. Krüger, - Konforme - Abbildung des Erdellipsoids in der Ebene (Conformal mapping of - the ellipsoidal earth to the plane), Royal Prussian Geodetic Institute, - New Series 52, 172 pp. (1912). - - L. P. Lee, - Conformal Projections Based on Elliptic Functions, - (B. V. Gutsell, Toronto, 1976), 128pp., - ISBN: 0919870163 - (Also appeared as: - Monograph 16, Suppl. No. 1 to Canadian Cartographer, Vol 13). - Part V, pp. 67--101, - Conformal - Projections Based On Jacobian Elliptic Functions. - - C. F. F. Karney, - - Transverse Mercator with an accuracy of a few nanometers, - J. Geodesy 85(8), 475--485 (Aug. 2011); - addenda: - tm-addenda.html; - preprint: - arXiv:1002.1417; - resource page: - tm.html. - . -The algorithm for TransverseMercator is based on -Krüger (1912); that for TransverseMercatorExact is -based on Lee (1976). - -See tm-grid.kmz, for an -illustration of the exact transverse Mercator grid in Google Earth. - -\section testmerc Test data for the transverse Mercator projection - -A test set for the transverse Mercator projection is available at - - - TMcoords.dat.gz - - C. F. F. Karney, Test data for the transverse Mercator projection - (2009),
- DOI: - 10.5281/zenodo.32470. - . -This is about 17 MB (compressed). This test set consists of a set of -geographic coordinates together with the corresponding transverse -Mercator coordinates. The WGS84 ellipsoid is used, with central -meridian 0°, central scale factor 0.9996 (the UTM value), -false easting = false northing = 0 m. - -Each line of the test set gives 6 space delimited numbers - - latitude (degrees, exact) - - longitude (degrees, exact — see below) - - easting (meters, accurate to 0.1 pm) - - northing (meters, accurate to 0.1 pm) - - meridian convergence (degrees, accurate to 10−18 deg) - - scale (accurate to 10−20) - . -The latitude and longitude are all multiples of 10−12 -deg and should be regarded as exact, except that longitude = -82.63627282416406551 should be interpreted as exactly (1 − \e e) -90°. These results are computed using Lee's formulas with -Maxima's -bfloats and fpprec set to 80 (so the errors in the data are probably 1/2 -of the values quoted above). The Maxima code, -tm.mac and ellint.mac, -was used to prepare this data set is included in the distribution; you -will need to have Maxima installed to use this code. The comments at -the top of tm.mac illustrate how to run it. - -The contents of the file are as follows: - - 250000 entries randomly distributed in lat in [0°, 90°], lon - in [0°, 90°]; - - 1000 entries randomly distributed on lat in [0°, 90°], lon = - 0°; - - 1000 entries randomly distributed on lat = 0°, lon in [0°, - 90°]; - - 1000 entries randomly distributed on lat in [0°, 90°], lon = - 90°; - - 1000 entries close to lat = 90° with lon in [0°, 90°]; - - 1000 entries close to lat = 0°, lon = 0° with lat ≥ - 0°, lon ≥ 0°; - - 1000 entries close to lat = 0°, lon = 90° with lat ≥ - 0°, lon ≤ 90°; - - 2000 entries close to lat = 0°, lon = (1 − \e e) 90° - with lat ≥ 0°; - - 25000 entries randomly distributed in lat in [−89°, - 0°], lon in [(1 − \e e) 90°, 90°]; - - 1000 entries randomly distributed on lat in [−89°, 0°], - lon = 90°; - - 1000 entries randomly distributed on lat in [−89°, 0°], - lon = (1 − \e e) 90°; - - 1000 entries close to lat = 0°, lon = 90° (lat < 0°, lon - ≤ 90°); - - 1000 entries close to lat = 0°, lon = (1 − \e e) 90° - (lat < 0°, lon ≤ (1 − \e e) 90°); - . -(a total of 287000 entries). The entries for lat < 0° and -lon in [(1 − \e e) 90°, 90°] use the "extended" -domain for the transverse Mercator projection explained in Sec. 5 of -Karney (2011). The first -258000 entries have lat ≥ 0° and are suitable for testing -implementations following the standard convention. - -\section tmseries Series approximation for transverse Mercator - -Krüger (1912) gives a 4th-order approximation to the transverse -Mercator projection. This is accurate to about 200 nm (200 -nanometers) within the UTM domain. Here we present the series -extended to 10th order. By default, TransverseMercator -uses the 6th-order approximation. The preprocessor macro -GEOGRAPHICLIB_TRANSVERSEMERCATOR_ORDER can be used to select an order -from 4 thru 8. The series expanded to order n30 are -given in tmseries30.html. - -In the formulas below ^ indicates exponentiation (n^3 = -n*n*n) and / indicates real division (3/5 = 0.6). -The equations need to be converted to Horner form, but are here left in -expanded form so that they can be easily truncated to lower order in \e -n. Some of the integers here are not representable as 32-bit integers -and will need to be included as 64-bit integers. - -\e A in Krüger, p. 12, eq. (5) -\verbatim - A = a/(n + 1) * (1 + 1/4 * n^2 - + 1/64 * n^4 - + 1/256 * n^6 - + 25/16384 * n^8 - + 49/65536 * n^10); -\endverbatim - -γ in Krüger, p. 21, eq. (41) -\verbatim -alpha[1] = 1/2 * n - - 2/3 * n^2 - + 5/16 * n^3 - + 41/180 * n^4 - - 127/288 * n^5 - + 7891/37800 * n^6 - + 72161/387072 * n^7 - - 18975107/50803200 * n^8 - + 60193001/290304000 * n^9 - + 134592031/1026432000 * n^10; -alpha[2] = 13/48 * n^2 - - 3/5 * n^3 - + 557/1440 * n^4 - + 281/630 * n^5 - - 1983433/1935360 * n^6 - + 13769/28800 * n^7 - + 148003883/174182400 * n^8 - - 705286231/465696000 * n^9 - + 1703267974087/3218890752000 * n^10; -alpha[3] = 61/240 * n^3 - - 103/140 * n^4 - + 15061/26880 * n^5 - + 167603/181440 * n^6 - - 67102379/29030400 * n^7 - + 79682431/79833600 * n^8 - + 6304945039/2128896000 * n^9 - - 6601904925257/1307674368000 * n^10; -alpha[4] = 49561/161280 * n^4 - - 179/168 * n^5 - + 6601661/7257600 * n^6 - + 97445/49896 * n^7 - - 40176129013/7664025600 * n^8 - + 138471097/66528000 * n^9 - + 48087451385201/5230697472000 * n^10; -alpha[5] = 34729/80640 * n^5 - - 3418889/1995840 * n^6 - + 14644087/9123840 * n^7 - + 2605413599/622702080 * n^8 - - 31015475399/2583060480 * n^9 - + 5820486440369/1307674368000 * n^10; -alpha[6] = 212378941/319334400 * n^6 - - 30705481/10378368 * n^7 - + 175214326799/58118860800 * n^8 - + 870492877/96096000 * n^9 - - 1328004581729009/47823519744000 * n^10; -alpha[7] = 1522256789/1383782400 * n^7 - - 16759934899/3113510400 * n^8 - + 1315149374443/221405184000 * n^9 - + 71809987837451/3629463552000 * n^10; -alpha[8] = 1424729850961/743921418240 * n^8 - - 256783708069/25204608000 * n^9 - + 2468749292989891/203249958912000 * n^10; -alpha[9] = 21091646195357/6080126976000 * n^9 - - 67196182138355857/3379030566912000 * n^10; -alpha[10]= 77911515623232821/12014330904576000 * n^10; -\endverbatim - -β in Krüger, p. 18, eq. (26*) -\verbatim - beta[1] = 1/2 * n - - 2/3 * n^2 - + 37/96 * n^3 - - 1/360 * n^4 - - 81/512 * n^5 - + 96199/604800 * n^6 - - 5406467/38707200 * n^7 - + 7944359/67737600 * n^8 - - 7378753979/97542144000 * n^9 - + 25123531261/804722688000 * n^10; - beta[2] = 1/48 * n^2 - + 1/15 * n^3 - - 437/1440 * n^4 - + 46/105 * n^5 - - 1118711/3870720 * n^6 - + 51841/1209600 * n^7 - + 24749483/348364800 * n^8 - - 115295683/1397088000 * n^9 - + 5487737251099/51502252032000 * n^10; - beta[3] = 17/480 * n^3 - - 37/840 * n^4 - - 209/4480 * n^5 - + 5569/90720 * n^6 - + 9261899/58060800 * n^7 - - 6457463/17740800 * n^8 - + 2473691167/9289728000 * n^9 - - 852549456029/20922789888000 * n^10; - beta[4] = 4397/161280 * n^4 - - 11/504 * n^5 - - 830251/7257600 * n^6 - + 466511/2494800 * n^7 - + 324154477/7664025600 * n^8 - - 937932223/3891888000 * n^9 - - 89112264211/5230697472000 * n^10; - beta[5] = 4583/161280 * n^5 - - 108847/3991680 * n^6 - - 8005831/63866880 * n^7 - + 22894433/124540416 * n^8 - + 112731569449/557941063680 * n^9 - - 5391039814733/10461394944000 * n^10; - beta[6] = 20648693/638668800 * n^6 - - 16363163/518918400 * n^7 - - 2204645983/12915302400 * n^8 - + 4543317553/18162144000 * n^9 - + 54894890298749/167382319104000 * n^10; - beta[7] = 219941297/5535129600 * n^7 - - 497323811/12454041600 * n^8 - - 79431132943/332107776000 * n^9 - + 4346429528407/12703122432000 * n^10; - beta[8] = 191773887257/3719607091200 * n^8 - - 17822319343/336825216000 * n^9 - - 497155444501631/1422749712384000 * n^10; - beta[9] = 11025641854267/158083301376000 * n^9 - - 492293158444691/6758061133824000 * n^10; - beta[10]= 7028504530429621/72085985427456000 * n^10; -\endverbatim - -The high-order expansions for α and β were produced by the -Maxima program tmseries.mac (included in the -distribution). To run, start Maxima and enter -\verbatim - load("tmseries.mac")$ -\endverbatim -Further instructions are included at the top of the file. - -\section tmfigures Figures from paper on transverse Mercator projection - -This section gives color versions of the figures in - - C. F. F. Karney, - - Transverse Mercator with an accuracy of a few nanometers, - J. Geodesy 85(8), 475--485 (Aug. 2011); - addenda: - tm-addenda.html; - preprint: - arXiv:1002.1417; - resource page: - tm.html. - -\b NOTE: -The numbering of the figures matches that in the paper cited above. The -figures in this section are relatively small in order to allow them to -be displayed quickly. Vector versions of these figures are available in - tm-figs.pdf. This allows you to magnify the -figures to show the details more clearly. - -\image html gauss-schreiber-graticule-a.png "Fig. 1(a)" -Fig. 1(a): -The graticule for the spherical transverse Mercator projection. -The equator lies on \e y = 0. -Compare this with Lee, Fig. 1 (right), which shows the graticule for -half a sphere, but note that in his notation \e x and \e y have switched -meanings. The graticule for the ellipsoid differs from that for a -sphere only in that the latitude lines have shifted slightly. (The -conformal transformation from an ellipsoid to a sphere merely relabels -the lines of latitude.) This projection places the point latitude = -0°, longitude = 90° at infinity. - -\image html gauss-krueger-graticule-a.png "Fig. 1(b)" -Fig. 1(b): -The graticule for the Gauss-Krüger transverse Mercator projection. -The equator lies on \e y = 0 for longitude < 81°; beyond -this, it arcs up to meet \e y = 1. Compare this with Lee, Fig. 45 -(upper), which shows the graticule for the International Ellipsoid. Lee, -Fig. 46, shows the graticule for the entire ellipsoid. This projection -(like the Thompson projection) projects the ellipsoid to a finite area. - -\image html thompson-tm-graticule-a.png "Fig. 1(c)" -Fig. 1(c): -The graticule for the Thompson transverse Mercator projection. The -equator lies on \e y = 0 for longitude < 81°; at longitude = -81°, it turns by 120° and heads for \e y = 1. -Compare this with Lee, Fig. 43, which shows the graticule for the -International Ellipsoid. Lee, Fig. 44, shows the graticule for the -entire ellipsoid. This projection (like the Gauss-Krüger -projection) projects the ellipsoid to a finite area. - -\image html gauss-krueger-error.png "Fig. 2" -Fig. 2: -The truncation error for the series for the Gauss-Krüger transverse -Mercator projection. The blue curves show the truncation error for the -order of the series \e J = 2 (top) thru \e J = 12 (bottom). The red -curves show the combined truncation and round-off errors for - - float and \e J = 4 (top) - - double and \e J = 6 (middle) - - long double and \e J = 8 (bottom) - -\image html gauss-krueger-graticule.png "Fig. 3(a)" -Fig. 3(a): -The graticule for the extended domain. The blue lines show -latitude and longitude at multiples of 10°. The green lines -show 1° intervals for longitude in [80°, 90°] and latitude in -[−5°, 10°]. - -\image html gauss-krueger-convergence-scale.png "Fig. 3(b)" -Fig. 3(b): -The convergence and scale for the Gauss-Krüger -transverse Mercator projection in the extended domain. The blue lines -emanating from the top left corner (the north pole) are lines of -constant convergence. Convergence = 0° is given by the -dog-legged line joining the points (0,1), (0,0), (1.71,0), -(1.71,−∞). -Convergence = 90° is given by the line y = 1. The other -lines show multiples of 10° between 0° and -90°. The other blue, the green and the black lines show -scale = 1 thru 2 at intervals of 0.1, 2 thru 15 at intervals of 1, and -15 thru 35 at intervals of 5. Multiples of 5 are shown in black, -multiples of 1 are shown in blue, and the rest are shown in green. -Scale = 1 is given by the line segment (0,0) to (0,1). The red line -shows the equator between lon = 81° and 90°. The -scale and convergence at the branch point are 1/\e e = 10 and -0°, respectively. - -\image html thompson-tm-graticule.png "Fig. 3(c)" -Fig. 3(c): -The graticule for the Thompson transverse Mercator -projection for the extended domain. The range of the projection is the -rectangular region shown - - 0 ≤ \e u ≤ K(e2), - 0 ≤ \e v ≤ K(1 − e2) - . -The coloring of the lines is the same as Fig. 3(a), except that latitude -lines extended down to −10° and a red line has been added -showing the line \e y = 0 for \e x > 1.71 in the Gauss-Krüger -projection (Fig. 3(a)). The extended Thompson projection figure has -reflection symmetry on all the four sides of Fig. 3(c). - -
-Back to \ref greatellipse. Forward to \ref geocentric. Up to \ref contents. -
- -**********************************************************************/ -/** -\page geocentric Geocentric coordinates - -
-Back to \ref transversemercator. Forward to \ref auxlat. Up to \ref contents. -
- -The implementation of Geocentric::Reverse is adapted from - - H. Vermeille, - - Direct transformation from geocentric coordinates to geodetic - coordinates, J. Geodesy 76, 451--454 (2002). - -This provides a closed-form solution but can't directly be applied close to -the center of the earth. Several changes have been made to remove this -restriction and to improve the numerical accuracy. Now the method is -accurate for all inputs (even if \e h is infinite). The changes are -described in Appendix B of - - C. F. F. Karney, - Geodesics - on an ellipsoid of revolution, - Feb. 2011; preprint - arxiv:1102.1215v1. - . -Vermeille similarly updated his method in - - H. Vermeille, - - An analytical method to transform geocentric into - geodetic coordinates, J. Geodesy 85, 105--117 (2011). - -The problems encountered near the center of the ellipsoid are: - - There's a potential division by zero in the definition of \e s. The - equations are easily reformulated to avoid this problem. - - t3 may be negative. This is OK; we just take the - real root. - - The solution for \e t may be complex. However this leads to 3 real roots - for u/\e r. It's then just a matter of picking the one that computes - the geodetic result which minimizes |h| and which avoids large - round-off errors. - - Some of the equations result in a large loss of accuracy due to - subtracting nearly equal quantities. E.g., \e k = sqrt(\e u + \e v + - w2) − \e w is inaccurate if \e u + \e v is small; - we can fix this by writing \e k = (\e u + \e v)/(sqrt(\e u + \e v + - w2) + \e w). - -The error is computed as follows. Write a version of -Geocentric::WGS84.Forward which uses long doubles (including using long -doubles for the WGS84 parameters). Generate random (long double) -geodetic coordinates (\e lat0, \e lon0, \e h0) and use the "long double" -WGS84.Forward to obtain the corresponding (long double) geocentric -coordinates (\e x0, \e y0, \e z0). [We restrict \e h0 so that \e h0 -≥ − \e a (1 − e2) / sqrt(1 − -e2 sin2\e lat0), which ensures that (\e -lat0, \e lon0, \e h0) is the principal geodetic inverse of (\e x0, \e -y0, \e z0).] Because the forward calculation is numerically stable and -because long doubles (on Linux systems using g++) provide 11 bits -additional accuracy (about 3.3 decimal digits), we regard this set of -test data as exact. - -Apply the double version of WGS84.Reverse to (\e x0, \e y0, \e z0) to -compute the approximate geodetic coordinates (\e lat1, \e lon1, \e h1). -Convert (\e lat1 − \e lat0, \e lon1 − \e lon0) to a -distance, \e ds, on the surface of the ellipsoid and define \e err = -hypot(\e ds, \e h1 − \e h0). For |h0| < 5000 km, we -have \e err < 7 nm (7 nanometers). - -This methodology is not very useful very far from the globe, because the -absolute errors in the approximate geodetic height become large, or -within 50 km of the center of the earth, because of errors in -computing the approximate geodetic latitude. To illustrate the second -issue, the maximum value of \e err for \e h0 < 0 is about 80 mm. -The error is maximum close to the circle given by geocentric coordinates -satisfying hypot(\e x, \e y) = \e a e2 (= -42.7 km), \e z = 0. (This is the center of meridional curvature -for \e lat = 0.) The geodetic latitude for these points is \e lat = 0. -However, if we move 1 nm towards the center of the earth, the -geodetic latitude becomes 0.04", a distance of 1.4 m from the -equator. If, instead, we move 1 nm up, the geodetic latitude -becomes 7.45", a distance of 229 m from the equator. In light of -this, Reverse does quite well in this vicinity. - -To obtain a practical measure of the error for the general case we define -- errh = |\e h1 − h0| / max(1, \e h0 / \e a) -- for \e h0 > 0, errout = \e ds -- for \e h0 < 0, apply the long double version of WGS84.Forward to (\e - lat1, \e lon1, \e h1) to give (\e x1, \e y1, \e z1) and compute - errin = hypot(\e x1 − \e x0, \e y1 − \e - y0, \e z1 − \e z0). -. -We then find errh < 8 nm, -errout < 4 nm, and errin < -7 nm (1 nm = 1 nanometer). - -The testing has been confined to the WGS84 ellipsoid. The method will -work for all ellipsoids used in terrestrial geodesy. However, the -central region, which leads to multiple real roots for the cubic -equation in Reverse, pokes outside the ellipsoid (at the poles) for -ellipsoids with \e e > 1/sqrt(2); Reverse has not been analyzed for this -case. Similarly ellipsoids which are very nearly spherical may yield -inaccurate results due to underflow; in the other hand, the case of the -sphere, \e f = 0, is treated specially and gives accurate results. - -Other comparable methods are K. M. Borkowski, - Transformation -of geocentric to geodetic coordinates without approximations, -Astrophys. Space Sci. 139, 1--4 (1987) -( erratum) -and T. Fukushima, - Fast transform from -geocentric to geodetic coordinates, J. Geodesy 73, 603--610 (1999). -However the choice of independent variables in these methods leads -to a loss of accuracy for points near the equatorial plane. - -
-Back to \ref transversemercator. Forward to \ref auxlat. Up to \ref contents. -
- -**********************************************************************/ -/** -\page auxlat Auxiliary latitudes - -
-Back to \ref geocentric. Forward to \ref highprec. Up to \ref contents. -
- -Go to - - \ref auxlatformula - - \ref auxlattable - - \ref auxlaterror - -Six latitudes are used by GeographicLib: -- φ, the (geographic) latitude; -- β, the parametric latitude; -- θ, the geocentric latitude; -- μ, the rectifying latitude; -- χ, the conformal latitude; -- ξ, the authalic latitude. -. -The last five of these are called auxiliary latitudes. These -quantities are all defined in the - -Wikipedia article on latitudes. The Ellipsoid class contains -methods for converting all of these and the geographic latitude. - -In addition there's the isometric latitude, ψ, defined by ψ = -gd−1χ = sinh−1 tanχ and -χ = gdψ = tan−1 sinhψ. This is not an -angle-like variable (for example, it diverges at the poles) and so we -don't treat it further here. However conversions between ψ and any -of the auxiliary latitudes is easily accomplished via an intermediate -conversion to χ. - -The relations between φ, β, and θ are all simple -elementary functions. The latitudes χ and ξ can be expressed as -elementary functions of φ; however, these functions can only be -inverted iteratively. The rectifying latitude μ as a function of -φ (or β) involves the incomplete elliptic integral of the -second kind (which is not an elementary function) and this needs to be -inverted iteratively. The Ellipsoid class evaluates all the auxiliary -latitudes (and the corresponding inverse relations) in terms of their -basic definitions. - -An alternative method of evaluating these auxiliary latitudes is in -terms of trigonometric series. This offers some advantages: -- these series give a uniform way of expressing any latitude in terms of - any other latitude; -- the evaluation may be faster, particularly if - - Clenshaw summation is used; -- provided that the flattening is sufficiently small, the result may be - more accurate (because the round-off errors are smaller). - -Here we give the complete matrix of relations between all six latitudes; -there are 30 (= 6 × 5) such relations. These -expansions complement the work of -- O. S. Adams, - - Latitude developments connected with geodesy and cartography, - Spec. Pub. 67 (US Coast and Geodetic Survey, 1921). -- P. Osborne, - - The Mercator Projections (2013), Chap. 5. -- S. Orihuela, - - Funciones de Latitud (2013). -. -Here, the expansions are in terms of the third flattening n = -(a − b)/(a + b). -This choice of expansion parameter results in expansions in which half -the coefficients vanish for all relations between φ, β, -θ, and μ. In addition, the expansions converge for -b/a ∈ (0, ∞). These expansions were -obtained with the the maxima code, auxlat.mac. - -Adams (1921) uses the eccentricity squared e2 as the -expansion parameter, but the resulting series only converge for -b/a ∈ (0, √2). In addition, it is shown -in \ref auxlaterror, that the errors when the series are truncated are -much worse than for the corresponding series in \e n. - -\section auxlatformula Series approximations for conversions - -Here are the relations between φ, β, θ, and μ carried -out to 4th order in n: -\f[ -\begin{align} -\beta-\phi&=\textstyle{} --n\sin 2\phi -+\frac{1}{2}n^{2}\sin 4\phi --\frac{1}{3}n^{3}\sin 6\phi -+\frac{1}{4}n^{4}\sin 8\phi --\ldots\\ -\phi-\beta&=\textstyle{} -+n\sin 2\beta -+\frac{1}{2}n^{2}\sin 4\beta -+\frac{1}{3}n^{3}\sin 6\beta -+\frac{1}{4}n^{4}\sin 8\beta -+\ldots\\ -\theta-\phi&=\textstyle{} --\bigl(2n-2n^{3}\bigr)\sin 2\phi -+\bigl(2n^{2}-4n^{4}\bigr)\sin 4\phi --\frac{8}{3}n^{3}\sin 6\phi -+4n^{4}\sin 8\phi --\ldots\\ -\phi-\theta&=\textstyle{} -+\bigl(2n-2n^{3}\bigr)\sin 2\theta -+\bigl(2n^{2}-4n^{4}\bigr)\sin 4\theta -+\frac{8}{3}n^{3}\sin 6\theta -+4n^{4}\sin 8\theta -+\ldots\\ -\theta-\beta&=\textstyle{} --n\sin 2\beta -+\frac{1}{2}n^{2}\sin 4\beta --\frac{1}{3}n^{3}\sin 6\beta -+\frac{1}{4}n^{4}\sin 8\beta --\ldots\\ -\beta-\theta&=\textstyle{} -+n\sin 2\theta -+\frac{1}{2}n^{2}\sin 4\theta -+\frac{1}{3}n^{3}\sin 6\theta -+\frac{1}{4}n^{4}\sin 8\theta -+\ldots\\ -\mu-\phi&=\textstyle{} --\bigl(\frac{3}{2}n-\frac{9}{16}n^{3}\bigr)\sin 2\phi -+\bigl(\frac{15}{16}n^{2}-\frac{15}{32}n^{4}\bigr)\sin 4\phi --\frac{35}{48}n^{3}\sin 6\phi -+\frac{315}{512}n^{4}\sin 8\phi --\ldots\\ -\phi-\mu&=\textstyle{} -+\bigl(\frac{3}{2}n-\frac{27}{32}n^{3}\bigr)\sin 2\mu -+\bigl(\frac{21}{16}n^{2}-\frac{55}{32}n^{4}\bigr)\sin 4\mu -+\frac{151}{96}n^{3}\sin 6\mu -+\frac{1097}{512}n^{4}\sin 8\mu -+\ldots\\ -\mu-\beta&=\textstyle{} --\bigl(\frac{1}{2}n-\frac{3}{16}n^{3}\bigr)\sin 2\beta --\bigl(\frac{1}{16}n^{2}-\frac{1}{32}n^{4}\bigr)\sin 4\beta --\frac{1}{48}n^{3}\sin 6\beta --\frac{5}{512}n^{4}\sin 8\beta --\ldots\\ -\beta-\mu&=\textstyle{} -+\bigl(\frac{1}{2}n-\frac{9}{32}n^{3}\bigr)\sin 2\mu -+\bigl(\frac{5}{16}n^{2}-\frac{37}{96}n^{4}\bigr)\sin 4\mu -+\frac{29}{96}n^{3}\sin 6\mu -+\frac{539}{1536}n^{4}\sin 8\mu -+\ldots\\ -\mu-\theta&=\textstyle{} -+\bigl(\frac{1}{2}n+\frac{13}{16}n^{3}\bigr)\sin 2\theta --\bigl(\frac{1}{16}n^{2}-\frac{33}{32}n^{4}\bigr)\sin 4\theta --\frac{5}{16}n^{3}\sin 6\theta --\frac{261}{512}n^{4}\sin 8\theta --\ldots\\ -\theta-\mu&=\textstyle{} --\bigl(\frac{1}{2}n+\frac{23}{32}n^{3}\bigr)\sin 2\mu -+\bigl(\frac{5}{16}n^{2}-\frac{5}{96}n^{4}\bigr)\sin 4\mu -+\frac{1}{32}n^{3}\sin 6\mu -+\frac{283}{1536}n^{4}\sin 8\mu -+\ldots\\ -\end{align} -\f] - -Here are the remaining relations (including χ and ξ) carried out -to 3rd order in n: -\f[ -\begin{align} -\chi-\phi&=\textstyle{} --\bigl(2n-\frac{2}{3}n^{2}-\frac{4}{3}n^{3}\bigr)\sin 2\phi -+\bigl(\frac{5}{3}n^{2}-\frac{16}{15}n^{3}\bigr)\sin 4\phi --\frac{26}{15}n^{3}\sin 6\phi -+\ldots\\ -\phi-\chi&=\textstyle{} -+\bigl(2n-\frac{2}{3}n^{2}-2n^{3}\bigr)\sin 2\chi -+\bigl(\frac{7}{3}n^{2}-\frac{8}{5}n^{3}\bigr)\sin 4\chi -+\frac{56}{15}n^{3}\sin 6\chi -+\ldots\\ -\chi-\beta&=\textstyle{} --\bigl(n-\frac{2}{3}n^{2}\bigr)\sin 2\beta -+\bigl(\frac{1}{6}n^{2}-\frac{2}{5}n^{3}\bigr)\sin 4\beta --\frac{1}{15}n^{3}\sin 6\beta -+\ldots\\ -\beta-\chi&=\textstyle{} -+\bigl(n-\frac{2}{3}n^{2}-\frac{1}{3}n^{3}\bigr)\sin 2\chi -+\bigl(\frac{5}{6}n^{2}-\frac{14}{15}n^{3}\bigr)\sin 4\chi -+\frac{16}{15}n^{3}\sin 6\chi -+\ldots\\ -\chi-\theta&=\textstyle{} -+\bigl(\frac{2}{3}n^{2}+\frac{2}{3}n^{3}\bigr)\sin 2\theta --\bigl(\frac{1}{3}n^{2}-\frac{4}{15}n^{3}\bigr)\sin 4\theta --\frac{2}{5}n^{3}\sin 6\theta --\ldots\\ -\theta-\chi&=\textstyle{} --\bigl(\frac{2}{3}n^{2}+\frac{2}{3}n^{3}\bigr)\sin 2\chi -+\bigl(\frac{1}{3}n^{2}-\frac{4}{15}n^{3}\bigr)\sin 4\chi -+\frac{2}{5}n^{3}\sin 6\chi -+\ldots\\ -\chi-\mu&=\textstyle{} --\bigl(\frac{1}{2}n-\frac{2}{3}n^{2}+\frac{37}{96}n^{3}\bigr)\sin 2\mu --\bigl(\frac{1}{48}n^{2}+\frac{1}{15}n^{3}\bigr)\sin 4\mu --\frac{17}{480}n^{3}\sin 6\mu --\ldots\\ -\mu-\chi&=\textstyle{} -+\bigl(\frac{1}{2}n-\frac{2}{3}n^{2}+\frac{5}{16}n^{3}\bigr)\sin 2\chi -+\bigl(\frac{13}{48}n^{2}-\frac{3}{5}n^{3}\bigr)\sin 4\chi -+\frac{61}{240}n^{3}\sin 6\chi -+\ldots\\ -\xi-\phi&=\textstyle{} --\bigl(\frac{4}{3}n+\frac{4}{45}n^{2}-\frac{88}{315}n^{3}\bigr)\sin 2\phi -+\bigl(\frac{34}{45}n^{2}+\frac{8}{105}n^{3}\bigr)\sin 4\phi --\frac{1532}{2835}n^{3}\sin 6\phi -+\ldots\\ -\phi-\xi&=\textstyle{} -+\bigl(\frac{4}{3}n+\frac{4}{45}n^{2}-\frac{16}{35}n^{3}\bigr)\sin 2\xi -+\bigl(\frac{46}{45}n^{2}+\frac{152}{945}n^{3}\bigr)\sin 4\xi -+\frac{3044}{2835}n^{3}\sin 6\xi -+\ldots\\ -\xi-\beta&=\textstyle{} --\bigl(\frac{1}{3}n+\frac{4}{45}n^{2}-\frac{32}{315}n^{3}\bigr)\sin 2\beta --\bigl(\frac{7}{90}n^{2}+\frac{4}{315}n^{3}\bigr)\sin 4\beta --\frac{83}{2835}n^{3}\sin 6\beta --\ldots\\ -\beta-\xi&=\textstyle{} -+\bigl(\frac{1}{3}n+\frac{4}{45}n^{2}-\frac{46}{315}n^{3}\bigr)\sin 2\xi -+\bigl(\frac{17}{90}n^{2}+\frac{68}{945}n^{3}\bigr)\sin 4\xi -+\frac{461}{2835}n^{3}\sin 6\xi -+\ldots\\ -\xi-\theta&=\textstyle{} -+\bigl(\frac{2}{3}n-\frac{4}{45}n^{2}+\frac{62}{105}n^{3}\bigr)\sin 2\theta -+\bigl(\frac{4}{45}n^{2}-\frac{32}{315}n^{3}\bigr)\sin 4\theta --\frac{524}{2835}n^{3}\sin 6\theta --\ldots\\ -\theta-\xi&=\textstyle{} --\bigl(\frac{2}{3}n-\frac{4}{45}n^{2}+\frac{158}{315}n^{3}\bigr)\sin 2\xi -+\bigl(\frac{16}{45}n^{2}-\frac{16}{945}n^{3}\bigr)\sin 4\xi --\frac{232}{2835}n^{3}\sin 6\xi -+\ldots\\ -\xi-\mu&=\textstyle{} -+\bigl(\frac{1}{6}n-\frac{4}{45}n^{2}-\frac{817}{10080}n^{3}\bigr)\sin 2\mu -+\bigl(\frac{49}{720}n^{2}-\frac{2}{35}n^{3}\bigr)\sin 4\mu -+\frac{4463}{90720}n^{3}\sin 6\mu -+\ldots\\ -\mu-\xi&=\textstyle{} --\bigl(\frac{1}{6}n-\frac{4}{45}n^{2}-\frac{121}{1680}n^{3}\bigr)\sin 2\xi --\bigl(\frac{29}{720}n^{2}-\frac{26}{945}n^{3}\bigr)\sin 4\xi --\frac{1003}{45360}n^{3}\sin 6\xi --\ldots\\ -\xi-\chi&=\textstyle{} -+\bigl(\frac{2}{3}n-\frac{34}{45}n^{2}+\frac{46}{315}n^{3}\bigr)\sin 2\chi -+\bigl(\frac{19}{45}n^{2}-\frac{256}{315}n^{3}\bigr)\sin 4\chi -+\frac{248}{567}n^{3}\sin 6\chi -+\ldots\\ -\chi-\xi&=\textstyle{} --\bigl(\frac{2}{3}n-\frac{34}{45}n^{2}+\frac{88}{315}n^{3}\bigr)\sin 2\xi -+\bigl(\frac{1}{45}n^{2}-\frac{184}{945}n^{3}\bigr)\sin 4\xi --\frac{106}{2835}n^{3}\sin 6\xi --\ldots\\ -\end{align} -\f] - -\section auxlattable Series approximations in tabular form - -Finally, this is a listing of all the coefficients for the expansions -carried out to 8th order in n. Here's how to interpret this -data: the 5th line for φ − θ is [32/5, 0, --32, 0]; this means that the coefficient of sin(10θ) is -[(32/5)n5 − -32n7 + O(n9)]. -

β − φ:
-   [-1, 0, 0, 0, 0, 0, 0, 0]
-   [1/2, 0, 0, 0, 0, 0, 0]
-   [-1/3, 0, 0, 0, 0, 0]
-   [1/4, 0, 0, 0, 0]
-   [-1/5, 0, 0, 0]
-   [1/6, 0, 0]
-   [-1/7, 0]
-   [1/8]
- -

φ − β:
-   [1, 0, 0, 0, 0, 0, 0, 0]
-   [1/2, 0, 0, 0, 0, 0, 0]
-   [1/3, 0, 0, 0, 0, 0]
-   [1/4, 0, 0, 0, 0]
-   [1/5, 0, 0, 0]
-   [1/6, 0, 0]
-   [1/7, 0]
-   [1/8]
- -

θ − φ:
-   [-2, 0, 2, 0, -2, 0, 2, 0]
-   [2, 0, -4, 0, 6, 0, -8]
-   [-8/3, 0, 8, 0, -16, 0]
-   [4, 0, -16, 0, 40]
-   [-32/5, 0, 32, 0]
-   [32/3, 0, -64]
-   [-128/7, 0]
-   [32]
- -

φ − θ:
-   [2, 0, -2, 0, 2, 0, -2, 0]
-   [2, 0, -4, 0, 6, 0, -8]
-   [8/3, 0, -8, 0, 16, 0]
-   [4, 0, -16, 0, 40]
-   [32/5, 0, -32, 0]
-   [32/3, 0, -64]
-   [128/7, 0]
-   [32]
- -

θ − β:
-   [-1, 0, 0, 0, 0, 0, 0, 0]
-   [1/2, 0, 0, 0, 0, 0, 0]
-   [-1/3, 0, 0, 0, 0, 0]
-   [1/4, 0, 0, 0, 0]
-   [-1/5, 0, 0, 0]
-   [1/6, 0, 0]
-   [-1/7, 0]
-   [1/8]
- -

β − θ:
-   [1, 0, 0, 0, 0, 0, 0, 0]
-   [1/2, 0, 0, 0, 0, 0, 0]
-   [1/3, 0, 0, 0, 0, 0]
-   [1/4, 0, 0, 0, 0]
-   [1/5, 0, 0, 0]
-   [1/6, 0, 0]
-   [1/7, 0]
-   [1/8]
- -

μ − φ:
-   [-3/2, 0, 9/16, 0, -3/32, 0, 57/2048, 0]
-   [15/16, 0, -15/32, 0, 135/2048, 0, -105/4096]
-   [-35/48, 0, 105/256, 0, -105/2048, 0]
-   [315/512, 0, -189/512, 0, 693/16384]
-   [-693/1280, 0, 693/2048, 0]
-   [1001/2048, 0, -1287/4096]
-   [-6435/14336, 0]
-   [109395/262144]
- -

φ − μ:
-   [3/2, 0, -27/32, 0, 269/512, 0, -6607/24576, 0]
-   [21/16, 0, -55/32, 0, 6759/4096, 0, -155113/122880]
-   [151/96, 0, -417/128, 0, 87963/20480, 0]
-   [1097/512, 0, -15543/2560, 0, 2514467/245760]
-   [8011/2560, 0, -69119/6144, 0]
-   [293393/61440, 0, -5962461/286720]
-   [6459601/860160, 0]
-   [332287993/27525120]
- -

μ − β:
-   [-1/2, 0, 3/16, 0, -1/32, 0, 19/2048, 0]
-   [-1/16, 0, 1/32, 0, -9/2048, 0, 7/4096]
-   [-1/48, 0, 3/256, 0, -3/2048, 0]
-   [-5/512, 0, 3/512, 0, -11/16384]
-   [-7/1280, 0, 7/2048, 0]
-   [-7/2048, 0, 9/4096]
-   [-33/14336, 0]
-   [-429/262144]
- -

β − μ:
-   [1/2, 0, -9/32, 0, 205/1536, 0, -4879/73728, 0]
-   [5/16, 0, -37/96, 0, 1335/4096, 0, -86171/368640]
-   [29/96, 0, -75/128, 0, 2901/4096, 0]
-   [539/1536, 0, -2391/2560, 0, 1082857/737280]
-   [3467/7680, 0, -28223/18432, 0]
-   [38081/61440, 0, -733437/286720]
-   [459485/516096, 0]
-   [109167851/82575360]
- -

μ − θ:
-   [1/2, 0, 13/16, 0, -15/32, 0, 509/2048, 0]
-   [-1/16, 0, 33/32, 0, -1673/2048, 0, 2599/4096]
-   [-5/16, 0, 349/256, 0, -2989/2048, 0]
-   [-261/512, 0, 963/512, 0, -43531/16384]
-   [-921/1280, 0, 5545/2048, 0]
-   [-6037/6144, 0, 16617/4096]
-   [-19279/14336, 0]
-   [-490925/262144]
- -

θ − μ:
-   [-1/2, 0, -23/32, 0, 499/1536, 0, -14321/73728, 0]
-   [5/16, 0, -5/96, 0, 6565/12288, 0, -201467/368640]
-   [1/32, 0, -77/128, 0, 2939/4096, 0]
-   [283/1536, 0, -4037/7680, 0, 1155049/737280]
-   [1301/7680, 0, -19465/18432, 0]
-   [17089/61440, 0, -442269/286720]
-   [198115/516096, 0]
-   [48689387/82575360]
- -

χ − φ:
-   [-2, 2/3, 4/3, -82/45, 32/45, 4642/4725, -8384/4725, 1514/1323]
-   [5/3, -16/15, -13/9, 904/315, -1522/945, -2288/1575, 142607/42525]
-   [-26/15, 34/21, 8/5, -12686/2835, 44644/14175, 120202/51975]
-   [1237/630, -12/5, -24832/14175, 1077964/155925, -1097407/187110]
-   [-734/315, 109598/31185, 1040/567, -12870194/1216215]
-   [444337/155925, -941912/184275, -126463/72765]
-   [-2405834/675675, 3463678/467775]
-   [256663081/56756700]
- -

φ − χ:
-   [2, -2/3, -2, 116/45, 26/45, -2854/675, 16822/4725, 189416/99225]
-   [7/3, -8/5, -227/45, 2704/315, 2323/945, -31256/1575, 141514/8505]
-   [56/15, -136/35, -1262/105, 73814/2835, 98738/14175, -2363828/31185]
-   [4279/630, -332/35, -399572/14175, 11763988/155925, 14416399/935550]
-   [4174/315, -144838/6237, -2046082/31185, 258316372/1216215]
-   [601676/22275, -115444544/2027025, -2155215124/14189175]
-   [38341552/675675, -170079376/1216215]
-   [1383243703/11351340]
- -

χ − β:
-   [-1, 2/3, 0, -16/45, 2/5, -998/4725, -34/4725, 1384/11025]
-   [1/6, -2/5, 19/45, -22/105, -2/27, 1268/4725, -12616/42525]
-   [-1/15, 16/105, -22/105, 116/567, -1858/14175, 1724/51975]
-   [17/1260, -8/105, 2123/14175, -26836/155925, 115249/935550]
-   [-1/105, 128/4455, -424/6237, 140836/1216215]
-   [149/311850, -31232/2027025, 210152/4729725]
-   [-499/225225, 30208/6081075]
-   [-68251/113513400]
- -

β − χ:
-   [1, -2/3, -1/3, 38/45, -1/3, -3118/4725, 4769/4725, -25666/99225]
-   [5/6, -14/15, -7/9, 50/21, -247/270, -14404/4725, 193931/42525]
-   [16/15, -34/21, -5/3, 17564/2835, -36521/14175, -1709614/155925]
-   [2069/1260, -28/9, -49877/14175, 2454416/155925, -637699/85050]
-   [883/315, -28244/4455, -20989/2835, 48124558/1216215]
-   [797222/155925, -2471888/184275, -16969807/1091475]
-   [2199332/225225, -1238578/42525]
-   [87600385/4540536]
- -

χ − θ:
-   [0, 2/3, 2/3, -2/9, -14/45, 1042/4725, 18/175, -1738/11025]
-   [-1/3, 4/15, 43/45, -4/45, -712/945, 332/945, 23159/42525]
-   [-2/5, 2/105, 124/105, 274/2835, -1352/945, 13102/31185]
-   [-55/126, -16/105, 21068/14175, 1528/4725, -2414843/935550]
-   [-22/45, -9202/31185, 20704/10395, 60334/93555]
-   [-90263/155925, -299444/675675, 40458083/14189175]
-   [-8962/12285, -3818498/6081075]
-   [-4259027/4365900]
- -

θ − χ:
-   [0, -2/3, -2/3, 4/9, 2/9, -3658/4725, 76/225, 64424/99225]
-   [1/3, -4/15, -23/45, 68/45, 61/135, -2728/945, 2146/1215]
-   [2/5, -24/35, -46/35, 9446/2835, 428/945, -95948/10395]
-   [83/126, -80/63, -34712/14175, 4472/525, 29741/85050]
-   [52/45, -2362/891, -17432/3465, 280108/13365]
-   [335882/155925, -548752/96525, -48965632/4729725]
-   [51368/12285, -197456/15795]
-   [1461335/174636]
- -

χ − μ:
-   [-1/2, 2/3, -37/96, 1/360, 81/512, -96199/604800, 5406467/38707200, -7944359/67737600]
-   [-1/48, -1/15, 437/1440, -46/105, 1118711/3870720, -51841/1209600, -24749483/348364800]
-   [-17/480, 37/840, 209/4480, -5569/90720, -9261899/58060800, 6457463/17740800]
-   [-4397/161280, 11/504, 830251/7257600, -466511/2494800, -324154477/7664025600]
-   [-4583/161280, 108847/3991680, 8005831/63866880, -22894433/124540416]
-   [-20648693/638668800, 16363163/518918400, 2204645983/12915302400]
-   [-219941297/5535129600, 497323811/12454041600]
-   [-191773887257/3719607091200]
- -

μ − χ:
-   [1/2, -2/3, 5/16, 41/180, -127/288, 7891/37800, 72161/387072, -18975107/50803200]
-   [13/48, -3/5, 557/1440, 281/630, -1983433/1935360, 13769/28800, 148003883/174182400]
-   [61/240, -103/140, 15061/26880, 167603/181440, -67102379/29030400, 79682431/79833600]
-   [49561/161280, -179/168, 6601661/7257600, 97445/49896, -40176129013/7664025600]
-   [34729/80640, -3418889/1995840, 14644087/9123840, 2605413599/622702080]
-   [212378941/319334400, -30705481/10378368, 175214326799/58118860800]
-   [1522256789/1383782400, -16759934899/3113510400]
-   [1424729850961/743921418240]
- -

ξ − φ:
-   [-4/3, -4/45, 88/315, 538/4725, 20824/467775, -44732/2837835, -86728/16372125, -88002076/13956067125]
-   [34/45, 8/105, -2482/14175, -37192/467775, -12467764/212837625, -895712/147349125, -2641983469/488462349375]
-   [-1532/2835, -898/14175, 54968/467775, 100320856/1915538625, 240616/4209975, 8457703444/488462349375]
-   [6007/14175, 24496/467775, -5884124/70945875, -4832848/147349125, -4910552477/97692469875]
-   [-23356/66825, -839792/19348875, 816824/13395375, 9393713176/488462349375]
-   [570284222/1915538625, 1980656/54729675, -4532926649/97692469875]
-   [-496894276/1915538625, -14848113968/488462349375]
-   [224557742191/976924698750]
- -

φ − ξ:
-   [4/3, 4/45, -16/35, -2582/14175, 60136/467775, 28112932/212837625, 22947844/1915538625, -1683291094/37574026875]
-   [46/45, 152/945, -11966/14175, -21016/51975, 251310128/638512875, 1228352/3007125, -14351220203/488462349375]
-   [3044/2835, 3802/14175, -94388/66825, -8797648/10945935, 138128272/147349125, 505559334506/488462349375]
-   [6059/4725, 41072/93555, -1472637812/638512875, -45079184/29469825, 973080708361/488462349375]
-   [768272/467775, 455935736/638512875, -550000184/147349125, -1385645336626/488462349375]
-   [4210684958/1915538625, 443810768/383107725, -2939205114427/488462349375]
-   [387227992/127702575, 101885255158/54273594375]
-   [1392441148867/325641566250]
- -

ξ − β:
-   [-1/3, -4/45, 32/315, 34/675, 2476/467775, -70496/8513505, -18484/4343625, 29232878/97692469875]
-   [-7/90, -4/315, 74/2025, 3992/467775, 53836/212837625, -4160804/1915538625, -324943819/488462349375]
-   [-83/2835, 2/14175, 7052/467775, -661844/1915538625, 237052/383107725, -168643106/488462349375]
-   [-797/56700, 934/467775, 1425778/212837625, -2915326/1915538625, 113042383/97692469875]
-   [-3673/467775, 390088/212837625, 6064888/1915538625, -558526274/488462349375]
-   [-18623681/3831077250, 41288/29469825, 155665021/97692469875]
-   [-6205669/1915538625, 504234982/488462349375]
-   [-8913001661/3907698795000]
- -

β − ξ:
-   [1/3, 4/45, -46/315, -1082/14175, 11824/467775, 7947332/212837625, 9708931/1915538625, -5946082372/488462349375]
-   [17/90, 68/945, -338/2025, -16672/155925, 39946703/638512875, 164328266/1915538625, 190673521/69780335625]
-   [461/2835, 1102/14175, -101069/467775, -255454/1563705, 236067184/1915538625, 86402898356/488462349375]
-   [3161/18900, 1786/18711, -189032762/638512875, -98401826/383107725, 110123070361/488462349375]
-   [88868/467775, 80274086/638512875, -802887278/1915538625, -200020620676/488462349375]
-   [880980241/3831077250, 66263486/383107725, -296107325077/488462349375]
-   [37151038/127702575, 4433064236/18091198125]
-   [495248998393/1302566265000]
- -

ξ − θ:
-   [2/3, -4/45, 62/105, 778/4725, -193082/467775, -4286228/42567525, 53702182/212837625, 182466964/8881133625]
-   [4/45, -32/315, 12338/14175, 92696/467775, -61623938/70945875, -32500616/273648375, 367082779691/488462349375]
-   [-524/2835, -1618/14175, 612536/467775, 427003576/1915538625, -663111728/383107725, -42668482796/488462349375]
-   [-5933/14175, -8324/66825, 427770788/212837625, 421877252/1915538625, -327791986997/97692469875]
-   [-320044/467775, -9153184/70945875, 6024982024/1915538625, 74612072536/488462349375]
-   [-1978771378/1915538625, -46140784/383107725, 489898512247/97692469875]
-   [-2926201612/1915538625, -42056042768/488462349375]
-   [-2209250801969/976924698750]
- -

θ − ξ:
-   [-2/3, 4/45, -158/315, -2102/14175, 109042/467775, 216932/2627625, -189115382/1915538625, -230886326/6343666875]
-   [16/45, -16/945, 934/14175, -7256/155925, 117952358/638512875, 288456008/1915538625, -11696145869/69780335625]
-   [-232/2835, 922/14175, -25286/66825, -7391576/54729675, 478700902/1915538625, 91546732346/488462349375]
-   [719/4725, 268/18711, -67048172/638512875, -67330724/383107725, 218929662961/488462349375]
-   [14354/467775, 46774256/638512875, -117954842/273648375, -129039188386/488462349375]
-   [253129538/1915538625, 2114368/34827975, -178084928947/488462349375]
-   [13805944/127702575, 6489189398/54273594375]
-   [59983985827/325641566250]
- -

ξ − μ:
-   [1/6, -4/45, -817/10080, 1297/18900, 7764059/239500800, -9292991/302702400, -25359310709/1743565824000, 39534358147/2858202547200]
-   [49/720, -2/35, -29609/453600, 35474/467775, 36019108271/871782912000, -14814966289/245188944000, -13216941177599/571640509440000]
-   [4463/90720, -2917/56700, -4306823/59875200, 3026004511/30648618000, 99871724539/1569209241600, -27782109847927/250092722880000]
-   [331799/7257600, -102293/1871100, -368661577/4036032000, 2123926699/15324309000, 168979300892599/1600593426432000]
-   [11744233/239500800, -875457073/13621608000, -493031379277/3923023104000, 1959350112697/9618950880000]
-   [453002260127/7846046208000, -793693009/9807557760, -145659994071373/800296713216000]
-   [103558761539/1426553856000, -53583096419057/500185445760000]
-   [12272105438887727/128047474114560000]
- -

μ − ξ:
-   [-1/6, 4/45, 121/1680, -1609/28350, -384229/14968800, 12674323/851350500, 7183403063/560431872000, -375027460897/125046361440000]
-   [-29/720, 26/945, 16463/453600, -431/17325, -31621753811/1307674368000, 1117820213/122594472000, 30410873385097/2000741783040000]
-   [-1003/45360, 449/28350, 3746047/119750400, -32844781/1751349600, -116359346641/3923023104000, 151567502183/17863765920000]
-   [-40457/2419200, 629/53460, 10650637121/326918592000, -13060303/766215450, -317251099510901/8002967132160000]
-   [-1800439/119750400, 205072597/20432412000, 146875240637/3923023104000, -2105440822861/125046361440000]
-   [-59109051671/3923023104000, 228253559/24518894400, 91496147778023/2000741783040000]
-   [-4255034947/261534873600, 126430355893/13894040160000]
-   [-791820407649841/42682491371520000]
- -

ξ − χ:
-   [2/3, -34/45, 46/315, 2458/4725, -55222/93555, 2706758/42567525, 16676974/30405375, -64724382148/97692469875]
-   [19/45, -256/315, 3413/14175, 516944/467775, -340492279/212837625, 158999572/1915538625, 85904355287/37574026875]
-   [248/567, -15958/14175, 206834/467775, 4430783356/1915538625, -7597644214/1915538625, 2986003168/37574026875]
-   [16049/28350, -832976/467775, 62016436/70945875, 851209552/174139875, -375566203/39037950]
-   [15602/18711, -651151712/212837625, 3475643362/1915538625, 5106181018156/488462349375]
-   [2561772812/1915538625, -10656173804/1915538625, 34581190223/8881133625]
-   [873037408/383107725, -5150169424688/488462349375]
-   [7939103697617/1953849397500]
- -

χ − ξ:
-   [-2/3, 34/45, -88/315, -2312/14175, 27128/93555, -55271278/212837625, 308365186/1915538625, -17451293242/488462349375]
-   [1/45, -184/945, 6079/14175, -65864/155925, 106691108/638512875, 149984636/1915538625, -101520127208/488462349375]
-   [-106/2835, 772/14175, -14246/467775, 5921152/54729675, -99534832/383107725, 10010741462/37574026875]
-   [-167/9450, -5312/467775, 75594328/638512875, -35573728/273648375, 1615002539/75148053750]
-   [-248/13365, 2837636/638512875, 130601488/1915538625, -3358119706/488462349375]
-   [-34761247/1915538625, -3196/3553875, 46771947158/488462349375]
-   [-2530364/127702575, -18696014/18091198125]
-   [-14744861191/651283132500]
- - -\section auxlaterror Truncation errors - -There are two sources of error when using these series. The truncation -error arises from retaing terms up to a certain order in \e n; it is the -absolute difference between the value of the truncated series compared -with the exact latitude (evaluated with exact arithmetic). In addition, -using standard double-precision arithmetic entails accumulating -round-off errors so that at the end of a complex calculation a few of -the trailing bits of the result are wrong. - -Here's a table of the truncation errors. The errors are given in "units -in the last place (ulp)" where 1 ulp = 2−53 radian = -6.4 × 10−15 degree = 2.3 × -10−11 arcsecond which is a measure of the round-off -error for double precision. Here is some rough guidance on how to -interpret these errors: -- if the truncation error is less than 1 ulp, then round-off errors - dominate; -- if the truncation error is greater than 8 ulp, then truncation errors - dominate; -- otherwise, round-off and truncation errors are comparable. -. -The truncation errors are given accurate to 2 significant figures. - -

- - - - -
Auxiliary latitude truncation errors (ulp)
expression - [f = 1/150, order = 6] - [f = 1/297, order = 5] -
n series e2 series - n series e2 series -
β − φ
0.0060 
28   
 0.035 
 41   
-
φ − β
0.0060 
28   
 0.035 
 41   
-
θ − φ
2.9    
82   
 6.0   
120   
-
φ − θ
2.9    
82   
 6.0   
120   
-
θ − β
0.0060 
28   
 0.035 
 41   
-
β − θ
0.0060 
28   
 0.035 
 41   
-
μ − φ
0.037  
41   
 0.18  
 60   
-
φ − μ
0.98   
59   
 2.3   
 84   
-
μ − β
0.00069
 5.8 
 0.0024
  9.6 
-
β − μ
0.13   
12   
 0.35  
 19   
-
μ − θ
0.24   
30   
 0.67  
 40   
-
θ − μ
0.099  
23   
 0.23  
 33   
-
χ − φ
0.78   
43   
 2.1   
 64   
-
φ − χ
9.0    
71   
17     
100   
-
χ − β
0.018  
 3.7 
 0.11  
  6.4 
-
β − χ
1.7    
16   
 3.4   
 24   
-
χ − θ
0.18   
31   
 0.56  
 43   
-
θ − χ
0.87   
23   
 1.9   
 32   
-
χ − μ
0.022  
 0.56
 0.11  
  0.91
-
μ − χ
0.31   
 1.2 
 0.86  
  2.0 
-
ξ − φ
0.015  
39   
 0.086 
 57   
-
φ − ξ
0.34   
53   
 1.1   
 75   
-
ξ − β
0.00042
 6.3 
 0.0039
 10   
-
β − ξ
0.040  
10   
 0.15  
 15   
-
ξ − θ
0.28   
28   
 0.75  
 38   
-
θ − ξ
0.040  
23   
 0.11  
 33   
-
ξ − μ
0.015  
 0.79
 0.058 
  1.5 
-
μ − ξ
0.0043 
 0.54
 0.018 
  1.1 
-
ξ − χ
0.60   
 1.9 
 1.5   
  3.6 
-
χ − ξ
0.023  
 0.53
 0.079 
  0.92
-
-
- -\if SKIP - 0 beta phi ,0.0060!,28!!!,!0.035!,!41!!! - 1 phi beta ,0.0060!,28!!!,!0.035!,!41!!! - 2 theta phi ,2.9!!!!,82!!!,!6.0!!!,120!!! - 3 phi theta,2.9!!!!,82!!!,!6.0!!!,120!!! - 4 theta beta ,0.0060!,28!!!,!0.035!,!41!!! - 5 beta theta,0.0060!,28!!!,!0.035!,!41!!! - 6 mu phi ,0.037!!,41!!!,!0.18!!,!60!!! - 7 phi mu ,0.98!!!,59!!!,!2.3!!!,!84!!! - 8 mu beta ,0.00069,!5.8!,!0.0024,!!9.6! - 9 beta mu ,0.13!!!,12!!!,!0.35!!,!19!!! -10 mu theta,0.24!!!,30!!!,!0.67!!,!40!!! -11 theta mu ,0.099!!,23!!!,!0.23!!,!33!!! -12 chi phi ,0.78!!!,43!!!,!2.1!!!,!64!!! -13 phi chi ,9.0!!!!,71!!!,17!!!!!,100!!! -14 chi beta ,0.018!!,!3.7!,!0.11!!,!!6.4! -15 beta chi ,1.7!!!!,16!!!,!3.4!!!,!24!!! -16 chi theta,0.18!!!,31!!!,!0.56!!,!43!!! -17 theta chi ,0.87!!!,23!!!,!1.9!!!,!32!!! -18 chi mu ,0.022!!,!0.56,!0.11!!,!!0.91 -19 mu chi ,0.31!!!,!1.2!,!0.86!!,!!2.0! -20 xi phi ,0.015!!,39!!!,!0.086!,!57!!! -21 phi xi ,0.34!!!,53!!!,!1.1!!!,!75!!! -22 xi beta ,0.00042,!6.3!,!0.0039,!10!!! -23 beta xi ,0.040!!,10!!!,!0.15!!,!15!!! -24 xi theta,0.28!!!,28!!!,!0.75!!,!38!!! -25 theta xi ,0.040!!,23!!!,!0.11!!,!33!!! -26 xi mu ,0.015!!,!0.79,!0.058!,!!1.5! -27 mu xi ,0.0043!,!0.54,!0.018!,!!1.1! -28 xi chi ,0.60!!!,!1.9!,!1.5!!!,!!3.6! -29 chi xi ,0.023!!,!0.53,!0.079!,!!0.92 -\endif - -The 2nd and 3rd columns show the results for the SRMmax ellipsoid, \e f -= 1/150, retaining 6th order terms in the series expansion. The 4th and -5th columns show the results for the International ellipsoid, \e f = -1/297, retaining 5th order terms in the series expansion. The 2nd and -4th columns give the errors for the series expansions in terms of \e n -given in this section (appropriately truncated). The 3rd and 5th -columns give the errors when the series are reexpanded in terms of -e2 = 4\e n/(1 + \e n)2 and truncated -retaining the e12 and e10 terms -respectively. - -Some observations: -- For production use, the 6th order series in \e n are recommended. For - \e f = 1/150, the resulting errors are close to the round-off limit. - The errors in the 6th order series scale as f7; so - the errors with \e f = 1/297 are about 120 times smaller. -- It's inadvisable to use the 5th order series in \e n; this order is - barely acceptable for \e f = 1/297 and the errors grow as - f6 as \e f is increased. -- In all cases, the expansions in terms of e2 are - considerably less accurate than the corresponding series in \e n. -- For every series converting between φ and any of θ, μ, - χ, or ξ, the series where β is substituted for φ is - more accurate. Considering that the transformation between φ and - β is so simple, tanβ = (1 - \e f) tanφ, it sometimes - makes sense to use β internally as the basic measure of latitude. - (This is the case with geodesic calculations.) - -
-Back to \ref geocentric. Forward to \ref highprec. Up to \ref contents. -
- -**********************************************************************/ -/** -\page highprec Support for high precision arithmetic - -
-Back to \ref auxlat. Forward to \ref changes. Up to \ref contents. -
- -One of the goals with the algorithms in GeographicLib is to deliver -accuracy close to the limits for double precision. In order to develop -such algorithms it is very useful to be have accurate test data. For -this purpose, I used Maxima's bfloat capability, which support arbitrary -precision floating point arithmetic. As of version 1.37, such -high-precision test data can be generated directly by GeographicLib by -compiling it with GEOGRAPHICLIB_PRECISION equal to 4 or 5. - -Here's what you should know: - - This is mainly for use for algorithm developers. It's not - recommended for installation for all users on a system. - - Configuring with -D GEOGRAPHICLIB_PRECISION=4 gives quad - precision (113-bit precision) via boost::multiprecision::float128; - this requires: - - Boost, version 1.64 or later, - - the quadmath library (the package names are libquadmath - and libquadmath-devel), - - the use of g++. - - Configuring with -D GEOGRAPHICLIB_PRECISION=5 gives - arbitrary precision via mpfr::mpreal; this requires: - - MPFR, version 3.0 or later, - - MPFR C++ - (version 3.6.5, dated 2016-12-19, or later), - - a compiler which supports the explicit cast operator (e.g., g++ 4.5 - or later, Visual Studio 12 2013 or later). - - MPFR, MPFR C++, and Boost all come with their own licenses. Be sure - to respect these. - - The indicated precision is used for all floating point - arithmetic. Thus, you can't compare the results of different - precisions within a single invocation of a program. Instead, you can - create a file of accurate test data at a high precision and use this - to test the algorithms at double precision. - - With MPFR, the precision should be set (using Utility::set_digits) - just once before any other GeographicLib routines are called. - Calling this function after other GeographicLib routines will lead to - inconsistent results (because the precision of some constants like - Math::pi() is set when the functions are first called). - - All the \ref utilities call Utility::set_digits() (with no - arguments). This causes the precision (in bits) to be determined by - the GEOGRAPHICLIB_DIGITS environment variable. If this - is not defined the precision is set to 256 bits (about 77 decimal - digits). - - The accuracy of most calculations should increase as the precision - increases (and typically only a few bits of accuracy should be lost). - We can distinguish 4 sources of error: - - Round-off errors; these are reliably reduced when the precision is - increased. For the most part, the algorithms used by GeographicLib - are carefully tuned to minimize round-off errors, so that only a - few bits of accuracy are lost. - - Convergence errors due to not iterating certain algorithms to - convergence. However, all iterative methods used by GeographicLib - converge quadratically (the number of correct digits doubles on - each iteration) so that full convergence is obtained for - "reasonable" precisions (no more than, say, 100 decimal digits or - about 340 bits). An exception is thrown if the convergence - criterion is not met when using high precision arithmetic. - - Truncation errors. Some classes (namely, Geodesic and - TransverseMercator) use series expansion to approximate the true - solution. Additional terms in the series are used for high - precision, however there's always a finite truncation error which - varies as some power of the flattening. On the other hand, - GeodesicExact and TransverseMercatorExact are somewhat slower - classes offering the same functionality implemented with - EllipticFunction. These classes provide arbitrary accuracy. - (However, a caveat is that the evaluation of the area in - GeodesicExact still uses a series (albeit of considerably higher - order). So the area calculations are always have a finite - truncation error.) - - Quantization errors. Geoid, GravityModel, and MagneticModel all - depend on external data files. The coefficient files for - GravityModel and MagneticModel store the coefficients as IEEE - doubles (and perhaps these coefficients can be regarded as exact). - However, with Geoid, the data files for the geoid heights are - quantized at 3mm leading to an irreducible ±1.5mm - quantization error. On the other hand, all the physical constants - used by GeographicLib, e.g., the flattening of the WGS84 ellipsoid, - are evaluated as exact decimal numbers. - - Where might high accuracy be important? - - checking the truncation error of series approximations; - - checking for excessive round-off errors (typically due to subtraction); - - checking the round-off error in computing areas of many-sided polygons; - - checking the summation of high order spherical harmonic expansions - (where underflow and overflow may also be a problem). - - Because only a tiny number of people will be interested in using this - facility: - - the cmake support for the required libraries is rudimentary; - - however geographiclib-config.cmake does export - GEOGRAPHICLIB_PRECISION and - GEOGRAPHICLIB_HIGHPREC_LIBRARIES, the libraries - providing the support for high-precision arithmetic; - - support for the C++11 mathematical functions and the explicit cast - operator is required; - - quad precision is only available on Linux; - - mpfr has been mostly tested on Linux (but it works on Windows with - Visual Studio 12 and MacOS too). - -The following steps needed to be taken - - - Phase 1, make sure you can switch easily between double, float, and - long double. - - use \#include <cmath> instead of \#include - <math.h>; - - use, e.g., std::sqrt instead of sqrt in - header files (similarly for sin, cos, - atan2, etc.); - - use using namespace std; and plain sqrt, - etc., in code files; - - express all convergence criteria in terms of\code - numeric_limits::epsilon() \endcode - etc., instead of using "magic constants", such as 1.0e-15; - - use typedef double real; and replace all occurrences of - double by real; - - write all literals by, e.g., real(0.5). Some - constants might need the L suffix, e.g., real f = - 1/real(298.257223563L) (but see below); - - Change the typedef of real to float or - long double, compile, and test. In this way, the - library can be run with any of the three basic floating point - types. - - If you want to run the library with multiple floating point types - within a single executable, then make all your classes take a - template parameter specifying the floating-point type and - instantiate your classes with the floating-point types that you - plan to use. I did not take this approach with GeographicLib - because double precision is suitable for the vast majority of - applications and turning all the classes into templates classes - would end up needlessly complicating (and bloating) the library. - - - Phase 2, changes to support arbitrary, but fixed, precision - - Use, e.g., \code - typedef boost::multiprecision::float128 real; \endcode - - Change std::sqrt(...), etc. to \code - using std::sqrt; - sqrt(...) \endcode - (but note that std::max can stay). It's only necessary - to do this in header files (code files already have using - namespace std;). - - In the case of boost's multiprecision numbers, the C++11 - mathematical functions need special treatment, see Math.hpp. - - If necessary, use series with additional terms to improve the - accuracy. - - Replace slowly converging root finding methods with rapidly - converging methods. In particular, the simple iterative method to - determine the flattening from the dynamical form factor in - NormalGravity converged too slowly; this was replaced by Newton's - method. - - If necessary, increase the maximum allowed iteration count in root - finding loops. Also throw an exception of the maximum iteration - count is exceeded. - - Write literal constants in a way that works for any precision, e.g., - \code - real f = 1/( real(298257223563LL) / 1000000000 ); \endcode - [Note that \code - real f = 1/( 298 + real(257223563) / 1000000000 ); \endcode - and 1/real(298.257223563L) are susceptible to - double rounding errors. We normally want to avoid such errors when - real is a double.] - - For arbitrary constants, you might have to resort to macros \code - #if GEOGRAPHICLIB_PRECISION == 1 - #define REAL(x) x##F - #elif GEOGRAPHICLIB_PRECISION == 2 - #define REAL(x) x - #elif GEOGRAPHICLIB_PRECISION == 3 - #define REAL(x) x##L - #elif GEOGRAPHICLIB_PRECISION == 4 - #define REAL(x) x##Q - #else - #define REAL(x) real(#x) - #endif \endcode - and then use \code - real f = 1/REAL(298.257223563); \endcode - - Perhaps use local static declarations to avoid the overhead of - reevaluating constants, e.g., \code - static inline real pi() { - using std::atan2; - // pi is computed just once - static const real pi = atan2(real(0), real(-1)); - return pi; - } \endcode - This is not necessary for built-in floating point types, - since the atan2 function will be evaluated at compile time. - - In Utility::readarray and Utility::writearray, arrays of reals were - treated as plain old data. This assumption now no longer holds and - these functions needed special treatment. - - volatile declarations don't apply. - - - Phase 3, changes to support arbitrary precision which can be set at - runtime. - - The big change now is that the precision is not known at compile - time. All static initializations which involve floating point - numbers need to be eliminated. - - Some static variables (e.g., tolerances which are expressed in - terms of numeric_limits<double>\::epsilon()) - were made member variables and so initialized when the - constructor was called. - - Some simple static real arrays (e.g., the interpolating stencils - for Geoid) were changed into integer arrays. - - Some static variables where converted to static functions similar - to the definition of pi() above. - - All the static instances of classes where converted as follows - \code - // declaration - static const Geodesic WGS84; - // definition - const Geodesic Geodesic::WGS84(Constants::WGS84_a(), - Constants::WGS84_f()); - // use - const Geodesic& geod = Geodesic::WGS84; \endcode - becomes \code - // declaration - static const Geodesic& WGS84(); - // definition - const Geodesic& Geodesic::WGS84() { - static const Geodesic wgs84(Constants::WGS84_a(), - Constants::WGS84_f()); - return wgs84; - static const Geodesic& WGS84(); - } - // use - const Geodesic& geod = Geodesic::WGS84(); \endcode - This is the so-called - - "construct on first use idiom". This is the most disruptive - of the changes since it requires a different calling convention - in user code. However the old static initializations were - invoked every time a code linking to GeographicLib was started, - even if the objects were not subsequently used. The new method - only initializes the static objects if they are used. - . - - numeric_limits<double>\::digits is no longer a - compile-time constant. It becomes - numeric_limits<double>\::digits(). - - Depending on the precision cos(π/2) might be negative. - Similarly atan(tan(π/2)) may evaluate to −π/2. - GeographicLib already handled this, because this happens with long - doubles (64 bits in the fraction). - - The precision needs to be set in each thread in a multi-processing - applications (for an example, see - examples/GeoidToGTX.cpp). - - Passing numbers to functions by value incurs a substantially higher - overhead than with doubles. This could be avoided by passing such - arguments by reference. This was not done here because it - would junk up the code to benefit a narrow application. - - The constants in GeodesicExact, e.g., 831281402884796906843926125, - can't be specified as long doubles nor long longs (since they have - more than 64 significant bits): - - first tried macro which expanded to a string (see the macro REAL - above); - - now use inline function to combine two long long ints each with at - most 52 significant bits; - - also needed to simplify one routine in GeodesicExact which took - inordinately long (15 minutes) to compile using g++; - - but Visual Studio 12 then complained (with an - internal compiler error presumably due to overly aggressive - whole-file optimization); fixed by splitting one function into a - separate file. - -
-Back to \ref auxlat. Forward to \ref changes. Up to \ref contents. -
- -**********************************************************************/ -/** -\page changes Change log - -
-Back to \ref highprec. Up to \ref contents. -
- -List of versions in reverse chronological order together with a brief -list of changes. (Note: Old versions of the library use a year-month -style of numbering. Now, the library uses a major and minor version -number.) Recent versions of GeographicLib are available at - -https://sourceforge.net/projects/geographiclib/files/distrib/. -Older versions are in - -https://sourceforge.net/projects/geographiclib/files/distrib/archive/. - -The corresponding documentation for these versions is obtained by -clicking on the “Version m.nn” links below. Some of -the links in the documentation of older versions may be out of date (in -particular the links for the source code will not work if the code has -been migrated to the archive subdirectory). All the releases are -available as tags “rm.nn” in the the "release" branch -of the - -git repository for GeographicLib. - -\if SKIP - - TODO: Planned updates - - Change templating in PolygonArea so that the AddPoint and AddEdge - methods are templated instead of the class itself. This would - allow a polygon to contain a mixture of geodesic and rhumb-line - edges. - - Generalize Geoid, UTMUPS, MGRS, GeoCoords to handle non-WGS84 - ellipsoids. - - Add GreatEllipse class. - - Implement Geodesic + TM + PolarStereographic on Jets. - - Template versions of Gnomonic and AzimuthalEquidistant so that they - can use either Geodesic and GeodesicExact. Use typedefs so that - Geodesic::Line points to GeodesicLine. - - Split DMS stuff from main JavaScript package. Also move 'use - strict' into functions (to make jshint happy). - - Add C++ tests not dependent on utility programs. - - Add information on radius of convergence for aux latitude series. - - Require C++11 and C99(?) compiler support. Mark Math::hypot et - al. deprecated. - - Check Geocentric::Reverse for accuracy for extreme ellipsoids, \e e - > 1/sqrt(2). -\endif - - - Version 1.50.1 - (released 2019-12-13) - - Add the World Magnetic Model 2020, wmm2020, covering the period - 2020--2025. This is now the model returned by - MagneticModel::DefaultMagneticName and is default magnetic model - for MagneticField (replacing - wmm2015v2 which is only valid thru the end of 2019). - - Include float instantiations of those templated Math functions - which migrated to Math.cpp in version 1.50. - - WARNING: The next version of GeographicLib will - require a C++11 compliant compiler. This means that the minimum - version of Visual Studio will be Visual Studio 12 2013. (This - repeats the warning given with version 1.50. It didn't apply to - this version because this is a minor update.) - - - Version 1.50 - (released 2019-09-24) - - BUG fixes: - - Java + JavaScript implementations of PolygonArea::TestEdge counted - the pole encirclings wrong. - - Fix typo in JavaScript implementation which affected unsigned - areas. - - Adding edges to a polygon counted pole encirclings inconsistent - with the way the adding point counted them. This might have - caused an incorrect result if a polygon vertex had longitude = 0. - This affected all implementations except Fortran and MATLAB). - - GARS::Forward: fix BUG in handling of longitude = ±180°. - - Fix bug in Rhumb class and - RhumbSolve(1) utiity which caused - incorrect area to be reported if an endpoint is at a pole. - Thanks to Natalia Sabourova for reporting this. - - Fix bug in MATLAB routine mgrs_inv which resulted in incorrect - results for UPS zones with prec = −1. - - In geodreckon.m geoddistance.m, suppress (innocuous) "warning: - division by zero" messages from Octave. - - In python implementation, work around problems caused by sin(inf) - and fmod(inf) raising exceptions. - - Geoid class, fix the use of streamoff. - - The PolygonArea class, the - Planimeter utility, and their - equivalents in C, Fortran, MATLAB, Java, JavaScript, Python, and - Maxima can now handle arbitrarily complex polygons. In the case of - self-intersecting polygons the area is accumulated "algebraically", - e.g., the areas of the 2 loops in a figure-8 polygon will partially - cancel. - - Changes in gravity and magnetic model handling - - SphericalEngine::coeff::readcoeffs takes new optional argument - \e truncate. - - The constructors for GravityModel and MagneticModel allow the - maximum degree and order to be specified. The array of - coefficients will then be truncated if necessary. - - GravityModel::Degree(), GravityModel::Order(), - MagneticModel::Degree(), MagneticModel::Order() return the - maximum degree and order of all the components of a GravityModel - or MagneticModel. - - Gravity and - MagneticField utilities - accept -N and -M options to to allow the maximum degree and order - to be specified. - - The GeodSolve allows fractional - distances to be entered as fractions (with the -F - flag). - - MajorRadius() methods are now called EquatorialRadius() for the - C++, Java, and .NET libraries. "Equatorial" is more descriptive in - the case of prolate ellipsoids. MajorRadius() is retained for - backward compatibility for C++ and Java but is deprecated. - - Minimum version updates: - - CMake = 3.1.0, released 2014-12-15. - - Minimum g++ version = 4.8.0, released 2013-03-22. - - Visual Studio 10 2010 (haven't been able to check Visual Studio - 2008 for a long time). - - WARNING: The next version of GeographicLib will - require a C++11 compliant compiler. This means that the minimum - version of Visual Studio will be Visual Studio 12 2013. - - Minimum boost version = 1.64 needed for GEOGRAPHICLIB_PRECISION = - 4. - - Java = 1.6; this allows the removal of epsilon, min, hypot, - log1p, copysign, cbrt from GeoMath. - - CMake updates: - - Fine tune Visual Studio compatibility check in - find_package(GeographicLib); this allows GeographicLib compiled - with Visual Studio 14 2015 to be used with a project compiled - with Visual Studio 15 2017 and 16 2019. - - Suppress warnings with dotnet build. - - Change CMake target names and add an interface library (thanks to - Matthew Woehlke). - - Remove pre-3.1.0 cruft and update the documentation to remove the - need to call include_dirctories. - - Add _d suffix to example and test programs. - - Changer installation path for binary installer to the Windows - default. - - Add support for Intel compiler (for C++, C, Fortran). This - entails supplying the -fp-model precise flag to - prevent the compiler from incorrectly simplying (a + b) + - c and 0.0 + x. - - Add version 2 of the World Magnetic Model 2015, wmm2015v2. This - is now the default magnetic model for - MagneticField (replacing wmm2015 - which is now deprecated). Coming in 2019-12: the wmm2020 model. - - The -f flag in the scripts geographiclib-get-geoids, - geographiclib-get-gravity, and geographiclib-get-magnetic, allows - you to load new models (not yet in the set defined by "all"). This - is in addition to its original role of allowing you to overwrite - existing models. - - Changes in math function support: - - Move some of the functionality from Math.hpp to Math.cpp to make - compilation of package which depend on GeographicLib less - sensitive to the current compiler environment. - - Add Math::remainder, Math::remquo, Math::round, and Math::lround. - Also add implementations of remainder, remquo to C - implementation. - - Math::cbrt, Math::atanh, and Math::asinh now preserve the sign of - −0. (Also: C, Java, JavaScript, Python, MATLAB. Not - necessary: Fortran because sign is a built-in function.) - - JavaScript: fall back to Math.hypot, Math.cbrt, Math.log1p, - Math.atanh if they are available. - - When parsing DMS strings ignore various non-breaking spaces (C++ - and JavaScript). - - Improve code coverage in the tests of geodesic algorithms (C++, C, - Java, JavaScript, Python, MATLAB, Fortran). - - Old deprecated NormalGravity::NormalGravity constructor removed. - - Additions to the documentation: - - add documentation links to ge{distance,reckon}.m; - - clarify which solution is returned for Geocentric::Reverse. - - - Version 1.49 - (released 2017-10-05) - - Add the Enhanced Magnetic Model 2017, emm2017. This is valid for - 2000 thru the end of 2021. - - Avoid potential problems with the order of initializations in DMS, - GARS, Geohash, Georef, MGRS, OSGB, SphericalEngine; this only would - have been an issue if GeographicLib objects were instantiated - globally. Now no GeographicLib initialization code should be run - prior to the entry of main(). - - To support the previous fix, add an overload, - Utility::lookup(const char* s, char c). - - NearestNeighbor::Search throws an error if \e pts is the wrong size - (instead of merely returning no results). - - Use complex arithmetic for Clenshaw sums in TransverseMercator and - tranmerc_{fwd,inv}.m. - - Changes in cmake support: - - fix compiler flags for GEOGRAPHICLIB_PRECISION = 4; - - add CONVERT_WARNINGS_TO_ERRORS option (default OFF), if ON then - compiler warnings are treated as errors. - - Fix warnings about implicit conversions of doubles to bools in C++, - C, and JavaScript packages. - - Binary installers for Windows now use Visual Studio 14 2015. - - - Version 1.48 - (released 2017-04-09) - - The "official" URL for GeographicLib is now - https://geographiclib.sourceforge.io (instead of - http://geographiclib.sourceforge.net). - - The default range for longitude and azimuth is now - (−180°, 180°], instead of [−180°, - 180°). This was already the case for the C++ library; now the - change has been made to the other implementations (C, Fortran, - Java, JavaScript, Python, MATLAB, and Maxima). - - Changes to NearestNeighbor: - - fix BUG in reading a NearestNeighbor object from a stream which - sometimes incorrectly caused a "Bad index" exception to be - thrown; - - add NearestNeighbor::operator<<, NearestNeighbor::operator>>, - NearestNeighbor::swap, std::swap(GeographicLib::NearestNeighbor&, - GeographicLib::NearestNeighbor&); - - Additions to the documentation: - - add documentation on \ref nearest; - - \ref normalgravity documentation is now on its own page and now - has an illustrative figure; - - document the \ref auxlaterror in the series for auxiliary - latitudes. - - Fix BUGS in MATLAB function geodreckon with mixed scalar and array - arguments. - - Workaround bug in math.fmod for Python 2.7 on 32-bit Windows - machines. - - Changes in cmake support: - - add USE_BOOST_FOR_EXAMPLES option (default OFF), if ON search for - Boost libraries for building examples; - - add APPLE_MULTIPLE_ARCHITECTURES option (default OFF), if ON - build for both i386 and x86_64 on Mac OS X systems; - - don't add flag for C++11 for g++ 6.0 (since it's not needed). - - Fix compiler warnings with Visual Studio 2017 and for the C - library. - - - Version 1.47 - (released 2017-02-15) - - Add NearestNeighbor class. - - Improve accuracy of area calculation (fixing a flaw introduced in - version 1.46); fix applied in Geodesic, GeodesicExact, and the - implementations in C, Fortran, Java, JavaScript, Python, MATLAB, - and Maxima. - - Generalize NormalGravity to allow oblate and prolate ellipsoids. - As a consequence a new form of constructor, - NormalGravity::NormalGravity, has been introduced and the old - form is now deprecated (and because the signatures of the two - constructors are similar, the compiler will warn about the use of - the old one). - - Changes in Math class: - - Math::sincosd, Math::sind, Math::cosd only return −0 for - the case sin(−0); - - Math::atan2d and Math::AngNormalize return results in - (−180°, 180°]; this may affect the longitudes and - azimuth returned by several other functions. - - Add Utility::trim() and Utility::val(); Utility::num() is now - deprecated. - - Changes in cmake support: - - remove support of PACKAGE_PATH and INSTALL_PATH in cmake - configuration; - - fix to FindGeographicLib.cmake to make it work on Debian systems; - - use $ (cmake version ≥ 3.1); - - use NAMESPACE for exported targets; - - geographiclib-config.cmake exports GEOGRAPHICLIB_DATA, - GEOGRAPHICLIB_PRECISION, and GeographicLib_HIGHPREC_LIBRARIES. - - Add pkg-config support for cmake and autoconf builds. - - Minor fixes: - - fix the order of declarations in C library, incorporating the - patches in version 1.46.1; - - fix the packaging of the Python library, incorporating the - patches in version 1.46.3; - - restrict junit dependency in the Java package to testing scope - (thanks to Mick Killianey); - - various behind-the-scenes fixes to EllipticFunction; - - fix documentation and default install location for Windows binary - installers; - - fix clang compiler warnings in GeodesicExactC4 and - TransverseMercator. - - - Version 1.46 - (released 2016-02-15) - - The following BUGS have been fixed: - - the -w flag to Planimeter(1) was - being ignored; - - in the Java package, the wrong longitude was being returned with - direct geodesic calculation with a negative distance when - starting point was at a pole (this bug was introduced in version - 1.44); - - in the JavaScript package, PolygonArea.TestEdge contained a - misspelling of a variable name and other typos (problem found by - threepointone). - - INCOMPATIBLE CHANGES: - - make the -w flag (to swap the default order of latitude and - longitude) a toggle for all \ref utilities; - - the -a option to GeodSolve(1) now - toggles (instead of sets) arc mode; - - swap order \e coslon and \e sinlon arguments in CircularEngine - class. - - Remove deprecated functionality: - - remove gradient calculation from the Geoid class and - GeoidEval(1) (this was inaccurate - and of dubious utility); - - remove reciprocal flattening functions, InverseFlattening in many - classes and Constants::WGS84_r(); stop treating flattening > 1 - as the reciprocal flattening in constructors; - - remove DMS::Decode(string), DMS::DecodeFraction, - EllipticFunction:m, EllipticFunction:m1, Math::extradigits, - Math::AngNormalize2, PolygonArea::TestCompute; - - stop treating LONG_NOWRAP as an alias for LONG_UNROLL in - Geodesic (and related classes) and Rhumb; - - stop treating full/schmidt as aliases for FULL/SCHMIDT in - SphericalEngine (and related classes); - - remove qmake project file src/GeographicLib.pro because QtCreator - can handle cmake projects now; - - remove deprecated Visual Studio 2005 project and solution files. - - Changes to GeodesicLine and GeodesicLineExact classes; these - changes (1) simplify the process of computing waypoints on a - geodesic given two endpoints and (2) allow a GeodesicLine to be - defined which is consistent with the solution of the inverse - problem (in particular Geodesic::InverseLine the specification of - south-going lines which pass the poles in a westerly direction by - setting sin α1 = −0): - - the class stores the distance \e s13 and arc length \e a13 to a - reference point 3; by default these quantities are NaNs; - - GeodesicLine::SetDistance (and GeodesicLine::SetArc) specify the - distance (and arc length) to point 3; - - GeodesicLine::Distance (and GeodesicLine::Arc) return the - distance (and arc length) to point 3; - - new methods Geodesic::InverseLine and Geodesic::DirectLine return - a GeodesicLine with the reference point 3 defined as point 2 of - the corresponding geodesic calculation; - - these changes are also included in the C, Java, JavaScript, and - Python packages. - - Other changes to the geodesic routines: - - more accurate solution of the inverse problem when longitude - difference is close to 180° (also in C, Fortran, Java, - JavaScript, Python, MATLAB, and Maxima packages); - - more accurate calculation of lon2 in the inverse calculation with - LONG_UNROLL (also in Java, JavaScript, Python packages). - - Changes to GeodSolve(1) utility: - - the -I and -D options now specify geodesic line calculation via - the standard inverse or direct geodesic problems; - - rename -l flag to -L to parallel the new -I and -D flags (-l is - is retained for backward compatibility but is deprecated), - and similarly for RhumbSolve(1); - - the -F flag (in conjunction with the -I or -D flags) specifies that - distances read on standard input are fractions of \e s13 or \e - a13; - - the -a option now toggles arc mode (noted above); - - the -w option now toggles longitude first mode (noted above). - - Changes to Math class: - - Math::copysign added; - - add overloaded version of Math::AngDiff which returns the error - in the difference. This allows a more accurate treatment of - inverse geodesic problem when \e lon12 is close to 180°; - - Math::AngRound now converts tiny negative numbers to −0 - (instead of +0), however −0 is still converted to +0. - - Add -S and -T options to - GeoConvert(1). - - Add Sphinx - documentation for Python package. - - Samples of wrapping the C++ library, so it's accessible in other - languages, are given in wrapper/C, - wrapper/python, and wrapper/matlab. - - Binary installers for Windows now use Visual Studio 12 2013. - - Remove top-level pom.xml from release (it was specific to SRI). - - A reminder: because of the JavaScript changes introduced in version - 1.45, you should remove the following installation directories from - your system: - - Windows: ${CMAKE_INSTALL_PREFIX}/doc/scripts - - Others: ${CMAKE_INSTALL_PREFIX}/share/doc/GeographicLib/scripts - - - Version 1.45 - (released 2015-09-30) - - Fix BUG in solution of inverse geodesic caused by misbehavior of - some versions of Visual Studio on Windows (fmod(−0.0, 360.0) - returns +0.0 instead of −0.0) and Octave (sind(−0.0) - returns +0.0 instead of −0.0). These bugs were exposed - because max(−0.0, +0.0) returns −0.0 for some - languages. - - Geodesic::Inverse now correctly returns NaNs if one of the - latitudes is a NaN. - - Changes to JavaScript package: - - thanks to help from Yurij Mikhalevich, it is a now a - node package that can be - installed with npm; - - make install now installs the node package in - lib/node_modules/geographiclib; - - add unit tests using mocha; - - add documentation via JSDoc; - - fix bug Geodesic.GenInverse (this bug, introduced in version - 1.44, resulted in the wrong azimuth being reported for points at - the pole). - - Changes to Java package: - - add implementation of ellipsoidal Gnomonic projection (courtesy - of Sebastian Mattheis); - - add unit tests using JUnit; - - Math.toRadians and Math.toDegrees are used instead of - GeoMath.degree (which is now removed), as a result… - - Java version 1.2 (released 1998-12) or later is now required. - - Changes to Python package: - - add unit tests using the unittest framework; - - fixed bug in normalization of the area. - - Changes to MATLAB package: - - fix array size mismatch in geoddistance by avoiding calls to - subfunctions with zero-length arrays; - - fix tranmerc_{fwd,inv} so that they work with arrays and - mixed array/scalar arguments; - - work around Octave problem which causes mgrs_fwd to return - garbage with prec = 10 or 11; - - add geographiclib_test.m to run a test suite. - - Behavior of substituting 1/\e f for \e f if \e f > 1 is now - deprecated. This behavior has been removed from the - JavaScript, C, and Python implementations (it was never - documented). Maxima, MATLAB, and Fortran implementations never - included this behavior. - - Other changes: - - fix bug, introduced in version 1.42, in the C++ implementation to - the computation of area which causes NaNs to be returned in the - case of a sphere; - - fixed bug, introduced in version 1.44, in the detection of C++11 - math functions in configure.ac; - - throw error on non-convergence in Gnomonic::Reverse if - GEOGRAPHICLIB_PRECISION > 3; - - add geod_polygon_clear to C library; - - turn illegal latitudes into NaNs for Fortran library; - - add test suites for the C and Fortran libraries. - - - Version 1.44 - (released 2015-08-14) - - Various changes to improve accuracy, e.g., by minimizing round-off - errors: - - Add Math::sincosd, Math::sind, Math::cosd which take their - arguments in degrees. These functions do exact range reduction - and thus they obey exactly the elementary properties of the - trigonometric functions, e.g., sin 9° = cos 81° = − - sin 123456789°. - - Math::AngNormalize now works for any angles, instead of angles in - the range [−540°, 540°); the function - Math::AngNormalize2 is now deprecated. - - This means that there is now no restriction on longitudes and - azimuths; any values can be used. - - Improve the accuracy of Math::atan2d. - - DMS::Decode avoids unnecessary round-off errors; thus 7:33:36 and - 7.56 result in identical values. DMS::Encode rounds ties to - even. These changes have also been made to DMS.js. - - More accurate rounding in MGRS::Reverse and mgrs_inv.m; this - change only makes a difference at sub-meter precisions. - - With MGRS::Forward and mgrs_fwd.m, ensure that digits in lower - precision results match those at higher precision; as a result, - strings of trailing 9s are less likely to be generated. This - change only makes a difference at sub-meter precisions. - - Replace the series for A2 in the Geodesic class - with one with smaller truncation errors. - - Geodesic::Inverse sets \e s12 to zero for coincident points at - pole (instead of returning a tiny quantity). - - Math::LatFix returns its argument if it is in [−90°, - 90°]; if not, it returns NaN. - - Using Math::LatFix, routines which don't check their arguments - now interpret a latitude outside the legal range of - [−90°, 90°] as a NaN; such routines will return - NaNs instead of finite but incorrect results; caution: - code that (dangerously) relied on the "reasonable" results being - returned for values of the latitude outside the allowed range - will now malfunction. - - All the \ref utilities accept the -w option to swap the - latitude-longitude order on input and output (and where appropriate - on the command-line arguments). CartConvert now accepts the -p - option to set the precision; now all of the utilities except - GeoidEval accept -p. - - Add classes for GARS, the Global Area Reference System, and for - Georef, the World Geographic Reference System. - - Changes to DMS::Decode and DMS.js: - - tighten up the rules: - - 30:70.0 and 30:60 are illegal (minutes and second must be - strictly less than 60), however - - 30:60.0 and 30:60. are legal (floating point 60 is OK, since it - might have been generated by rounding 59.99…); - - generalize a+b concept, introduced in version 1.42, to any number - of pieces; thus 8+0:40-0:0:10 is interpreted as 8:39:50. - - Documentation fixes: - - update man pages to refer to - GeoConvert(1) on handling of - geographic coordinates; - - document limitations of the series used for TransverseMercator; - - hide the documentation of the computation of the gradient of the - geoid height (now deprecated) in the Geoid class; - - warn about the possible misinterpretation of 7.0E+1 by - DMS::Decode; - - \e swaplatlong optional argument of DMS::DecodeLatLon and - various functions in the GeoCoords class is now called \e - longfirst; - - require Doxygen 1.8.7 or later. - - More systematic treatment of version numbers: - - Python: \__init\__.py defines \__version\__ and \__version_info\__; - - JavaScript: - - Math.js defines Constants.version and Constants.version_string; - - version number included as comment in packed script - geographiclib.js; - - geod-calc.html and - geod-google.html - report the version number; - - https://geographiclib.sourceforge.io/scripts/ gives access to - earlier versions of geographiclib.js as - geographiclib-m.nn.js; - - Fortran: add geover subroutine to return version numbers; - - Maxima: geodesic.mac defines geod_version; - - CGI scripts: these report the version numbers of the utilities. - - BUG FIXES: - - NormalGravity now works properly for a sphere (\e omega = \e f = - \e J2 = 0), instead of returning NaNs (problem found by htallon); - - CassiniSoldner::Forward and cassini_fwd.m now returns the correct - azimuth for points at the pole. - - MATLAB-specific fixes: - - mgrs_fwd now treats treats prec > 11 as prec = 11; - - illegal letter combinations are now correctly detected by - mgrs_inv; - - fixed bug where mgrs_inv returned the wrong results for prec = 0 - strings and center = 0; - - mgrs_inv now decodes prec = 11 strings properly; - - routines now return array results with the right shape; - - routines now properly handle mixed scalar and array arguments. - - Add Accumulator::operator*=(T y). - - Geohash uses "invalid" instead of "nan" when the latitude or - longitude is a nan. - - - Version 1.43 - (released 2015-05-23) - - Add the Enhanced Magnetic Model 2015, emm2015. This is valid for - 2000 thru the end of 2019. This required some changes in the - MagneticModel and MagneticCircle classes; so this model cannot be - used with versions of GeographicLib prior to 1.43. - - Fix BLUNDER in PolarStereographic constructor introduced in version - 1.42. This affected UTMUPS conversions for UPS which could be - incorrect by up to 0.5 km. - - Changes in the LONG_NOWRAP option (added in version 1.39) in the - Geodesic and GeodesicLine classes: - - The option is now called LONG_UNROLL (a less negative sounding - term); the original name, LONG_NOWRAP, is retained for backwards - compatibility. - - There were two bad BUGS in the implementation of this capability: - (a) it gave incorrect results for west-going - geodesics; (b) the option was ignored if used - directly via the GeodesicLine class. The first bug affected the - implementations in all languages. The second affected the - implementation in C++ (GeodesicLine and GeodesicLineExact), - JavaScript, Java, C, Python. These bugs have now been FIXED. - - The GeodSolve utility now accepts - a -u option, which turns on the LONG_UNROLL treatment. With this - option lon1 is reported as entered and - lon2 is given such that lon2 − - lon1 indicates how often and in what sense the - geodesic has encircled the earth. (This option also affects the - value of longitude reported when an inverse calculation is run - with the -f option.) - - The inverse calculation with the JavaScript and Python libraries - similarly sets lon1 and lon2 in output - dictionary respecting the LONG_UNROLL flag. - - The online version of - GeodSolve - now offers an option to unroll the longitude. - - To support these changes DMS::DecodeLatLon no longer reduces the - longitude to the range [−180°, 180°) and - Math::AngRound now coverts −0 to +0. - - Add Math::polyval (also to C, Java, JavaScript, Fortran, Python - versions of the library; this is a built-in function for - MATLAB/Octave). This evaluates a polynomial using Horner's method. - The Maxima-generated code fragments for the evaluation of series in - the Geodesic, TransverseMercator, and Rhumb classes and MATLAB - routines for great ellipses have been replaced by Maxima-generated - arrays of polynomial coefficients which are used as input to - Math::polyval. - - Add MGRS::Check() to verify that \e a, \e f, - kUTM, and kUPS are consistent - with the assumptions in the UTMUPS and MGRS classes. This is - invoked with GeoConvert \--version. (This function - was added to document and check the assumptions used in the UTMUPS - and MGRS classes in case they are extended to deal with ellipsoids - other than WS84.) - - MATLAB function mgrs_inv now takes an optional \e center argument - and strips white space from both beginning and end of the string. - - Minor internal changes: - - GeodSolve sets the geodesic mask so that unnecessary calculations - are avoided; - - some routines have migrated into a math class for the Python, - Java, and JavaScript libraries. - - A reminder: because of changes in the installation directories for - non-Windows systems introduced in version 1.42, you should remove - the following directories from your system: - - ${CMAKE_INSTALL_PREFIX}/share/cmake/GeographicLib* - - ${CMAKE_INSTALL_PREFIX}/libexec/GeographicLib/matlab - - - Version 1.42 - (released 2015-04-28) - - DMS::Decode allows a single addition or subtraction operation, - e.g., 70W+0:0:15. This affects the GeoCoords class and the - utilities (which use the DMS class for reading coordinates). - - Add Math::norm, Math::AngRound, Math::tand, Math::atan2d, - Math::eatanhe, Math::taupf, Math::tauf, Math::fma and remove - duplicated (but private) functionality from other classes. - - On non-Windows systems, the cmake config-style find_package files - are now installed under ${CMAKE_INSTALL_PREFIX}/lib${LIB_SUFFIX} - instead of ${CMAKE_INSTALL_PREFIX}/share, because the files are - architecture-specific. This change will let 32-bit and 64-bit - versions coexist on the same machine (in lib and lib64). You - should remove the versions in the old "share" location. - - MATLAB changes: - - provide native MATLAB implementations for compiled interface - functions, see \ref matlab; - - the compiled MATLAB interface is now deprecated and so the - MATLAB_COMPILER option in the cmake build has been removed; - - reorganize directories, so that - - matlab/geographiclib contains the native matlab code; - - matlab/geographiclib-legacy contains wrapper functions to mimic - the previous compiled functionality; - - the installed MATLAB code mirrors this layout, but the parent - installation directory on non-Windows systems is - ${CMAKE_INSTALL_PREFIX}/share (instead of - ${CMAKE_INSTALL_PREFIX}/libexec), because the files are now - architecture independent; - - matlab/geographiclib is now packaged and distributed as - MATLAB File Exchange package - - 50605 (this supersedes three earlier MATLAB packages); - - point fix for geodarea.m to correct bug in area of polygons which - encircle a pole multiple times (released as version 1.41.1 of - MATLAB File Exchange package 39108, 2014-04-22). - - artifactId for Java package changed from GeographicLib to - GeographicLib-Java and the package is now deployed to - Maven Central (thanks to Chris Bennight for help on this). - - Fix autoconf mismatch of version numbers (which were inconsistent - in versions 1.40 and 1.41). - - Mark the computation of the gradient of the geoid height in the - Geoid class and the GeoidEval - utility as deprecated. - - Work around the boost-quadmath bug with setprecision(0). - - Deprecate use of Visual Studio 2005 "-vc8" project files in the - windows directory. - - - Version 1.41 - (released 2015-03-09) - - Fix bug in Rhumb::Inverse (with \e exact = true) and related - functions which causes the wrong distance to be reported if one of - the end points is at a pole. Thanks to Thomas Murray for reporting - this. - - Add International Geomagnetic Reference Field (12th generation), - which approximates the main magnetic field of the earth for the - period 1900--2020. - - Split information about \ref jacobi to a separate section and - include more material. - - - Version 1.40 - (released 2014-12-18) - - Add the World Magnetic Model 2015, wmm2015. This is now the - default magnetic model for - MagneticField (replacing wmm2010 - which is valid thru the end of 2014). - - Geodesic::Inverse didn't return NaN if one of the longitudes was a - NaN (bug introduced in version 1.25). Fixed in the C++, Java, - JavaScript, C, Fortran, and Python implementations of the geodesic - routines. This bug was not present in the MATLAB version. - - Fix bug in Utility::readarray and Utility::writearray which caused - an exception in debug mode with zero-sized arrays. - - Fix BLUNDER in OSGB::GridReference (found by kalderami) where the - wrong result was returned if the easting or northing was negative. - - OSGB::GridReference now returns "INVALID" if either coordinate is - NaN. Similarly a grid reference starting with "IN" results in NaNs - for the coordinates. - - Default constructor for GeoCoords corresponds to an undefined - position (latitude and longitude = NaN), instead of the north pole. - - Add an online version of RhumbSolve - at https://geographiclib.sourceforge.io/cgi-bin/RhumbSolve. - - Additions to the documentation: - - documentation on \ref triaxial-conformal; - - a page on \ref auxlat (actually, this was added in version 1.39); - - document the use of two single quotes to stand for a double quote - in DMS (this feature was introduced in version 1.13). - - The MATLAB function, geographiclibinterface, which compiles the - wrapper routines for MATLAB now works with MATLAB on a Mac. - - - Version 1.39 - (released 2014-11-11) - - GeographicLib usually normalizes longitudes to the range - [−180°, 180°). However, when solving the direct - geodesic and rhumb line problems, it is sometimes necessary to know - how many lines the line encircled the earth by returning the - longitude "unwrapped". So the following changes have been made: - - add a LONG_NOWRAP flag to \e mask enums for the \e outmask - arguments for Geodesic, GeodesicLine, Rhumb, and RhumbLine; - - similar changes have been made to the Python, JavaScript, and - Java implementations of the geodesic routines; - - for the C, Fortran, and MATLAB implementations the \e arcmode - argument to the routines was generalized to allow a combination - of ARCMODE and LONG_NOWRAP bits; - - the Maxima version now returns the longitude unwrapped. - . - These changes were necessary to fix the PolygonAreaT::AddEdge (see - the next item). - - Changes in area calculations: - - fix BUG in PolygonAreaT::AddEdge (also in C, Java, JavaScript, - and Python implementations) which sometimes causes the wrong area - to be returned if the edge spanned more than 180°; - - add area calculation to the Rhumb and RhumbLine classes and the - RhumbSolve utility (see \ref - rhumbarea); - - add PolygonAreaRhumb typedef for PolygonAreaT; - - add -R option to Planimeter to use - PolygonAreaRhumb (and -G option for the default geodesic polygon); - - fix BLUNDER in area calculation in MATLAB routine geodreckon; - - add area calculation to MATLAB/Octave routines for great ellipses - (see \ref gearea). - - Fix bad BUG in Geohash::Reverse; this was introduced in version - 1.37 and affected all platforms where unsigned longs are 32-bits. - Thanks to Christian Csar for reporting and diagnosing this. - - Binary installers for Windows are now built with Visual Studio 11 - 2012 (instead of Visual Studio 10 2010). Compiled MATLAB support - still with version 2013a (64-bit). - - Update GeographicLib.pro for builds with qmake to include all the - source files. - - Cmake updates: - - include cross-compiling checks in cmake config file; - - improve the way unsuitable versions are reported; - - include_directories (${GeographicLib_INCLUDE_DIRS}) is no longer - necessary with cmake 2.8.11 or later. - - legacy/Fortran now includes drop-in replacements for the geodesic - utilities from the NGS. - - geographiclib-get-{geoids,gravity,magnetic} with no arguments now - print the usage instead of loading the minimal sets. - - Utility::date(const std::string&, int&, int&, int&) and hence the - MagneticField utility accepts - the string "now" as a legal time (meaning today). - - - Version 1.38 - (released 2014-10-02) - - On MacOSX, the installed package is relocatable (for cmake version - 2.8.12 and later). - - On Mac OSX, GeographicLib can be installed using homebrew. - - In cmake builds under Windows, set the output directories so that - binaries and shared libraries are together. - - Accept the minus sign as a synonym for - in DMS.{cpp,js}. - - The cmake configuration file geographiclib-depends.cmake has been - renamed to geographiclib-targets.cmake. - - MATLAB/Octave routines for great ellipses added; see \ref - greatellipse. - - Provide man pages for geographiclib-get-{geoids,gravity,magnetic}. - - - Version 1.37 - (released 2014-08-08) - - Add \ref highprec. - - INCOMPATIBLE CHANGE: the static instantiations of various - classes for the WGS84 ellipsoid have been changed to a - - "construct on first use idiom". This avoids a lot of wasteful - initialization before the user's code starts. Unfortunately it - means that existing source code that relies on any of the following - static variables will need to be changed to a function call: - - AlbersEqualArea::AzimuthalEqualAreaNorth - - AlbersEqualArea::AzimuthalEqualAreaSouth - - AlbersEqualArea::CylindricalEqualArea - - Ellipsoid::WGS84 - - Geocentric::WGS84 - - Geodesic::WGS84 - - GeodesicExact::WGS84 - - LambertConformalConic::Mercator - - NormalGravity::GRS80 - - NormalGravity::WGS84 - - PolarStereographic::UPS - - TransverseMercator::UTM - - TransverseMercatorExact::UTM - . - Thus, occurrences of, for example, \code - const Geodesic& geod = Geodesic::WGS84; // version 1.36 and earlier - \endcode - need to be changed to \code - const Geodesic& geod = Geodesic::WGS84(); // version 1.37 and later - \endcode - (note the parentheses!); alternatively use \code - // works with all versions - const Geodesic geod(Constants::WGS84_a(), Constants::WGS84_a()); \endcode - - Incompatible change: the environment variables - {GEOID,GRAVITY,MAGNETIC}_{NAME,PATH} are now prefixed - with GEOGRAPHICLIB_. - - Incompatible change for Windows XP: retire the Windows XP common - data path. If you're still using Windows XP, then you might have - to move the folder C:\\Documents and Settings\\All - Users\\Application Data\\GeographicLib to - C:\\ProgramData\\GeographicLib. - - All macro names affecting the compilation now start with - GEOGRAPHICLIB_; this applies to - GEOID_DEFAULT_NAME, GRAVITY_DEFAULT_NAME, - MAGNETIC_DEFAULT_NAME, PGM_PIXEL_WIDTH, - HAVE_LONG_DOUBLE, STATIC_ASSERT, - WORDS_BIGENDIAN. - - Changes to PolygonArea: - - introduce PolygonAreaT which takes a geodesic class as a parameter; - - PolygonArea and PolygonAreaExact are typedef'ed to - PolygonAreaT and PolygonAreaT; - - add -E option to Planimeter to use - PolygonAreaExact; - - add -Q option to Planimeter to - calculate the area on the authalic sphere. - - Add -p option to Planimeter, - ConicProj, - GeodesicProj, - TransverseMercatorProj. - - Add Rhumb and RhumbLine classes and the - RhumbSolve utility; see \ref rhumb - for more information. - - Minor changes to NormalGravity: - - add NormalGravity::J2ToFlattening and NormalGravity::FlatteningToJ2; - - use Newton's method to determine \e f from \e J2; - - in constructor, allow \e omega = 0 (i.e., treat the spherical case). - - Add grs80 GravityModel, see \ref gravity. - - Make geographiclib-get-{geoids,gravity,magnetic} scripts work on MacOS. - - Minor changes: - - simplify cross-platform support for C++11 mathematical functions; - - change way area coefficients are given in GeodesicExact to improve - compile times; - - enable searching the online documentation; - - add macros GEOGRAPHICLIB_VERSION and - GEOGRAPHICLIB_VERSION_NUM; - - add solution and project files for Visual Studio Express 2010. - - - Version 1.36 - (released 2014-05-13) - - Changes to comply with NGA's prohibition of the use of the - upper-case letters N/S to designate the hemisphere when displaying - UTM/UPS coordinates: - - UTMUPS::DecodeZone allows north/south as hemisphere - designators (in addition to n/s); - - UTMUPS::EncodeZone now encodes the hemisphere in - lower case (to distinguish this use from a grid zone - designator); - - UTMUPS::EncodeZone takes an optional parameter \e - abbrev to indicate whether to use n/s or north/south as the - hemisphere designator; - - GeoCoords::UTMUPSRepresentation and - GeoCoords::AltUTMUPSRepresentation similarly accept - the \e abbrev parameter; - - GeoConvert uses the - flags -a and -l to govern whether UTM/UPS output uses n/s - (the -a flag) or north/south (the -l flag) to denote the - hemisphere; - - Fixed a bug what allowed +3N to be accepted as an alternative UTM - zone designation (instead of 3N). - . - WARNING: The use of lower case n/s for the hemisphere might - cause compatibility problems. However DecodeZone has always - accepted either case; so the issue will only arise with other - software reading the zone information. To avoid possible - misinterpretation of the zone designator, consider calling - EncodeZone with \e abbrev = false and GeoConvert with -l, so that - north/south are used to denote the hemisphere. - - MGRS::Forward with \e prec = −1 will produce a grid - zone designation. Similarly MGRS::Reverse will - decode a grid zone designation (and return \e prec = −1). - - Stop using the throw() declaration specification which is - deprecated in C++11. - - Add missing std:: qualifications to copy in LocalCartesion and - Geocentric headers (bug found by Clemens). - - - Version 1.35 - (released 2014-03-13) - - Fix blunder in UTMUPS::EncodeEPSG (found by Ben - Adler). - - MATLAB wrapper routines geodesic{direct,inverse,line} switch to - "exact" routes if |f| > 0.02. - - GeodSolve.cgi allows ellipsoid to be set (and uses the -E option - for GeodSolve). - - Set title in HTML versions of man pages for the \ref utilities. - - Changes in cmake support: - - add _d to names of executables in debug mode of Visual Studio; - - add support for Android (cmake-only), thanks to Pullan Yu; - - check CPACK version numbers supplied on command line; - - configured version of project-config.cmake.in is - project-config.cmake (instead of geographiclib-config.cmake), to - prevent find_package incorrectly using this file; - - fix tests with multi-line output; - - this release includes a file, pom.xml, which is used by an - experimental build system (based on maven) at SRI. - - - Version 1.34 - (released 2013-12-11) - - Many changes in cmake support: - - minimum version of cmake needed increased to 2.8.4 (which was - released in 2011-02); - - allow building both shared and static libraries with -D - GEOGRAPHICLIB_LIB_TYPE=BOTH; - - both shared and static libraries (Release plus Debug) included in - binary installer; - - find_package uses COMPONENTS and GeographicLib_USE_STATIC_LIBS to - select the library to use; - - find_package version checking allows nmake and Visual Studio - generators to interoperate on Windows; - - find_package (GeographicLib …) requires that GeographicLib be - capitalized correctly; - - on Unix/Linux, don't include the version number in directory for - the cmake configuration files; - - defaults for GEOGRAPHICLIB_DOCUMENTATION and - BUILD_NETGEOGRAPHICLIB are now OFF; - - the GEOGRAPHICLIB_EXAMPLES configuration parameter is no longer - used; cmake always configures to build the examples, but they are - not built by default (instead build targets: exampleprograms and - netexamples); - - matlab-all target renamed to matlabinterface; - - the configuration parameters PACKAGE_PATH and INSTALL_PATH are - now deprecated (use CMAKE_INSTALL_PREFIX instead); - - on Linux, the installed package is relocatable; - - on MacOSX, the installed utilities can find the shared library. - - Use a more precise value for OSGB::CentralScale(). - - Add Arc routines to Python interface. - - The Geod utility has been removed; the same functionality lives on - with GeodSolve (introduced in - version 1.30). - - - Version 1.33 - (released 2013-10-08) - - Add NETGeographic .NET wrapper library - (courtesy of Scott Heiman). - - Make inspector functions in Ellipsoid const. - - Add Accumulator.cpp to instantiate Accumulator. - - Defer some of the initialization of OSGB to when it - is first called. - - Fix bug in autoconf builds under MacOS. - - - Version 1.32 - (released 2013-07-12) - - Generalize C interface for polygon areas to allow vertices to be - specified incrementally. - - Fix way flags for C++11 support are determined. - - - Version 1.31 - (released 2013-07-01) - - Changes breaking binary compatibility (source compatibility is - maintained): - - overloaded versions of DMS::Encode, - EllipticFunction::EllipticFunction, and - GeoCoords::DMSRepresentation, have been eliminated - by the use of optional arguments; - - correct the declaration of first arg to - UTMUPS::DecodeEPSG. - - FIX BUG in GravityCircle constructor (found by - Mathieu Peyréga) which caused bogus results for the gravity - disturbance and gravity anomaly vectors. (This only affected - calculations using GravityCircle. GravityModel calculations did - not suffer from this bug.) - - Improvements to the build: - - add macros GEOGRAPHICLIB_VERSION_{MAJOR,MINOR,PATCH} to Config.h; - - fix documentation for new version of perlpod; - - improving setting of runtime path for Unix-like systems with cmake; - - install PDB files when compiling with Visual Studio to aid - debugging; - - Windows binary release now uses MATLAB R2013a (64-bit) and - uses the -largeArrayDims option. - - fixes to the way the MATLAB interface routines are built (thanks - to Phil Miller and Chris F.). - - Changes to the geodesic routines: - - add \ref java of the geodesic routines (thanks to Skip Breidbach - for the maven support); - - FIX BUG: avoid altering input args in Fortran implementation; - - more systematic treatment of very short geodesic; - - fixes to Python port so that they work with version 3.x, in - addition to 2.x (courtesy of Amato); - - accumulate the perimeter and area of polygons via a double-wide - accumulator in Fortran, C, and MATLAB implementations (this is - already included in the other implementations); - - port PolygonArea::AddEdge and - PolygonArea::TestEdge to JavaScript and Python - interfaces; - - include documentation on \ref geodshort. - - Unix scripts for downloading datasets, - geographiclib-get-{geoids,gravity,magnetic}, skip already download - models by default, unless the -f flag is given. - - FIX BUGS: meridian convergence and scale returned by - TransverseMercatorExact was wrong at a pole. - - Improve efficiency of MGRS::Forward by avoiding the - calculation of the latitude if possible (adapting an idea of Craig - Rollins). - - Fixes to the way the MATLAB interface routines are built (thanks to - Phil Miller and Chris F.). - - - Version 1.30 - (released 2013-02-27) - - Changes to geodesic routines: - - FIX BUG in fail-safe mechanisms in Geodesic::Inverse; - - the command line utility Geod is now called - GeodSolve; - - allow addition of polygon edges in PolygonArea; - - add full Maxima implementation of geodesic algorithms. - - - Version 1.29 - (released 2013-01-16) - - Changes to allow compilation with libc++ (courtesy of Kal Conley). - - Add description of \ref triaxial to documentation. - - Update journal reference for "Algorithms for geodesics". - - - Version 1.28 - (released 2012-12-11) - - Changes to geodesic routines: - - compute longitude difference exactly; - - hence FIX BUG in area calculations for polygons with vertices very - close to the prime meridian; - - FIX BUG is geoddistance.m where the value of m12 was wrong for - meridional geodesics; - - add MATLAB implementations of the geodesic projections; - - remove unneeded special code for geodesics which start at a pole; - - include polygon area routine in C and Fortran implementations; - - add doxygen documentation for C and Fortran libraries. - - - Version 1.27 - (released 2012-11-29) - - Changes to geodesic routines: - - add native MATLAB implementations: geoddistance.m, geodreckon.m, - geodarea.m; - - add C and Fortran implementations; - - improve the solution of the direct problem so that the series - solution is accurate to round off for |f| < 1/50; - - tighten up the convergence criteria for solution of the inverse - problem; - - no longer signal failures of convergence with NaNs (a slightly - less accurate answer is returned instead). - - Fix DMS::Decode double rounding BUG. - - On MacOSX platforms with the cmake configuration, universal - binaries are built. - - - Version 1.26 - (released 2012-10-22) - - Replace the series used for geodesic areas by one with better - convergence (this only makes an appreciable difference if - |f| > 1/150). - - - Version 1.25 - (released 2012-10-16) - - Changes to geodesic calculations: - - restart Newton's method in Geodesic::Inverse when it goes awry; - - back up Newton's method with the bisection method; - - Geodesic::Inverse now converges for any value of \e f; - - add GeodesicExact and GeodesicLineExact which are formulated in - terms of elliptic integrals and thus yield accurate results even - for very eccentric ellipsoids; - - the -E option to Geod invokes these - exact classes. - - Add functionality to EllipticFunction: - - add all the traditional elliptic integrals; - - remove restrictions on argument range for incomplete elliptic integrals; - - allow imaginary modulus for elliptic integrals and elliptic functions; - - make interface to the symmetric elliptic integrals public. - - Allow Ellipsoid to be copied. - - Changes to the build tools: - - cmake uses folders in Visual Studio to reduce clutter; - - allow precision of reals to be set in cmake; - - fail gracefully in the absence of pod documentation tools; - - remove support for maintainer tasks in Makefile.mk; - - upgrade to automake 1.11.6 to fix the "make distcheck" security - vulnerability; see - https://cve.mitre.org/cgi-bin/cvename.cgi?name=CVE-2012-3386 - - - Version 1.24 - (released 2012-09-22) - - Allow the specification of the hemisphere in UTM coordinates in - order to provide continuity across the equator: - - add UTMUPS::Transfer; - - add GeoCoords::UTMUPSRepresentation(bool, int) and - GeoCoords::AltUTMUPSRepresentation(bool, int); - - use the hemisphere letter in, e.g., - GeoConvert -u -z 31n. - - Add UTMUPS::DecodeEPSG and - UTMUPS::EncodeEPSG. - - cmake changes: - - restore support for cmake 2.4.x; - - explicitly check version of doxygen. - - Fix building under cygwin. - - Document restrictions on \e f in \ref intro. - - Fix Python interface to work with version 2.6.x. - - - Version 1.23 - (released 2012-07-17) - - Documentation changes: - - remove html documentation from distribution and use web links if - doxygen is not available; - - use doxygen tags to document exceptions; - - begin migrating the documentation to using Greek letters where - appropriate (requires doxygen 1.8.1.2 or later). - - Add Math::AngNormalize and - Math::AngNormalize2; the allowed range for longitudes - and azimuths widened to [−540°, 540°). - - DMS::Decode understands more unicode symbols. - - Geohash uses geohash code "nan" to stand for not a - number. - - Add Ellipsoid::NormalCurvatureRadius. - - Various fixes in LambertConformalConic, - TransverseMercator, - PolarStereographic, and Ellipsoid to - handle reverse projections of points near infinity. - - Fix programming blunder in LambertConformalConic::Forward - (incorrect results were returned if the tangent latitude was - negative). - - - Version 1.22 - (released 2012-05-27) - - Add Geohash and Ellipsoid classes. - - FIX BUG in AlbersEqualArea for very prolate - ellipsoids (b2 > 2 a2). - - cmake changes: - - optionally use PACKAGE_PATH and INSTALL_PATH to determine - CMAKE_INSTALL_PREFIX; - - use COMMON_INSTALL_PATH to determine layout of installation - directories; - - as a consequence, the installation paths for the documentation, - and Python and MATLAB interfaces are shortened for Windows; - - zip source distribution now uses DOS line endings; - - the tests work in debug mode for Windows; - - default setting of GEOGRAPHICLIB_DATA does not depend on - CMAKE_INSTALL_PREFIX; - - add a cmake configuration for build tree. - - - Version 1.21 - (released 2012-04-25) - - Support colon-separated DMS output: - - DMS::Encode and - GeoCoords::DMSRepresentation generalized; - - GeoConvert and - Geod now accept a -: option. - - GeoidEval does not print the gradient - of the geoid height by default (because it's subject to large - errors); give the -g option to get the gradient printed. - - Work around optimization BUG in Geodesic::Inverse - with tdm mingw g++ version 4.6.1. - - autoconf fixed to ensure that that out-of-sources builds work; - document this as the preferred method of using autoconf. - - cmake tweaks: - - simplify the configuration of doxygen; - - allow the MATLAB compiler to be specified with the - MATLAB_COMPILER option. - - - Version 1.20 - (released 2012-03-23) - - cmake tweaks: - - improve find_package's matching of compiler versions; - - CMAKE_INSTALL_PREFIX set from CMAKE_PREFIX_PATH if available; - - add "x64" to the package name for the 64-bit binary installer; - - fix cmake warning with Visual Studio Express. - - Fix SphericalEngine to deal with aggressive iterator - checking by Visual Studio. - - Fix transcription BUG is Geodesic.js. - - - Version 1.19 - (released 2012-03-13) - - Slight improvement in Geodesic::Inverse for very - short lines. - - Fix argument checking tests in MGRS::Forward. - - Add \--comment-delimiter and \--line-separator options to the \ref - utilities. - - Add installer for 64-bit Windows; the compiled MATLAB interface is - supplied with the Windows 64-bit installer only. - - - Version 1.18 - (released 2012-02-18) - - Improve documentation on configuration with cmake. - - cmake's find_package ensures that the compiler versions match on Windows. - - Improve documentation on compiling MATLAB interface. - - Binary installer for Windows installs under C:/pkg-vc10 by default. - - - Version 1.17 - (released 2012-01-21) - - Work around optimization BUG in Geodesic::Inverse - with g++ version 4.4.0 (mingw). - - Fix BUG in argument checking with OSGB::GridReference. - - Fix missing include file in SphericalHarmonic2. - - Add simple examples of usage for each class. - - Add internal documentation to the cmake configuration files. - - - Version 1.16 - (released 2011-12-07) - - Add calculation of the earth's gravitational field: - - add NormalGravity GravityModel and - GravityCircle classes; - - add command line utility - Gravity; - - add \ref gravity; - - add Constants::WGS84_GM(), Constants::WGS84_omega(), and - similarly for GRS80. - - Build uses GEOGRAPHICLIB_DATA to specify a common parent directory - for geoid, gravity, and magnetic data (instead of - GEOGRAPHICLIB_GEOID_PATH, etc.); similarly, - GeoidEval, - Gravity, and - MagneticField, look at the - environment variable GEOGRAPHICLIB_DATA to locate the data. - - Spherical harmonic software changes: - - capitalize enums SphericalHarmonic::FULL and - SphericalHarmonic::SCHMIDT (the lower case names - are retained but deprecated); - - optimize the sum by using a static table of square roots which is - updated by SphericalEngine::RootTable; - - avoid overflow for high degree models. - - Magnetic software fixes: - - fix documentation BUG in MagneticModel::Circle; - - make MagneticModel constructor explicit; - - provide default MagneticCircle constructor; - - add additional inspector functions to - MagneticCircle; - - add -c option to MagneticField; - - default height to zero in - MagneticField. - - - Version 1.15 - (released 2011-11-08) - - Add calculation of the earth's magnetic field: - - add MagneticModel and MagneticCircle - classes; - - add command line utility - MagneticField; - - add \ref magnetic; - - add \ref magneticinst; - - add \ref magneticformat; - - add classes SphericalEngine, - CircularEngine, SphericalHarmonic, - SphericalHarmonic1, and - SphericalHarmonic2. which sum spherical harmonic - series. - - Add Utility class to support I/O and date - manipulation. - - Cmake configuration includes a _d suffix on the library built in - debug mode. - - For the Python package, include manifest and readme files; don't - install setup.py for non-Windows systems. - - Include Doxygen tag file in distribution as doc/html/Geographic.tag. - - - Version 1.14 - (released 2011-09-30) - - Ensure that geographiclib-config.cmake is relocatable. - - Allow more unicode symbols to be used in DMS::Decode. - - Modify GeoidEval so that it can be - used to convert the height datum for LIDAR data. - - Modest speed-up of Geodesic::Inverse. - - Changes in Python interface: - - FIX BUG in transcription of Geodesic::Inverse; - - include setup.py for easy installation; - - Python only distribution is available at - https://pypi.python.org/pypi/geographiclib - - Supply a minimal Qt qmake project file for library - src/Geographic.pro. - - - Version 1.13 - (released 2011-08-13) - - Changes to I/O: - - allow : (colon) to be used as a DMS separator in - DMS::Decode(const std::string&, flag&); - - also accept Unicode symbols for degrees, minutes, and seconds - (coded as UTF-8); - - provide optional \e swaplatlong argument to various - DMS and GeoCoords functions to make - longitude precede latitude; - - GeoConvert now has a -w option to - make longitude precede latitude on input and output; - - include a JavaScript version of DMS. - - Slight improvement in starting guess for solution of geographic - latitude in terms of conformal latitude in TransverseMercator, - TransverseMercatorExact, and LambertConformalConic. - - For most classes, get rid of const member variables so that the - default copy assignment works. - - Put Math and Accumulator in their own - header files. - - Remove unused "fast" Accumulator method. - - Reorganize the \ref python. - - Withdraw some deprecated routines. - - cmake changes: - - include FindGeographic.cmake in distribution; - - building with cmake creates and installs - geographiclib-config.cmake; - - better support for building a shared library under Windows. - - - Version 1.12 - (released 2011-07-21) - - Change license to MIT/X11. - - Add PolygonArea class and equivalent MATLAB function. - - Provide JavaScript and Python implementations of geodesic routines. - - Fix Windows installer to include runtime dlls for MATLAB. - - Fix (innocuous) unassigned variable in Geodesic::GenInverse. - - Geodesic routines in MATLAB return a12 as first column of aux return - value (incompatible change). - - A couple of code changes to enable compilation with Visual - Studio 2003. - - - Version 1.11 - (released 2011-06-27) - - Changes to Planimeter: - - add -l flag to Planimeter for polyline - calculations; - - trim precision of area to 3 decimal places; - - FIX BUG with pole crossing edges (due to compiler optimization). - - Geod no longer reports the reduced - length by default; however the -f flag still reports this and in - addition gives the geodesic scales and the geodesic area. - - FIX BUGS (compiler-specific) in inverse geodesic calculations. - - FIX BUG: accommodate tellg() returning −1 at end of string. - - Change way flattening of the ellipsoid is specified: - - constructors take \e f argument which is taken to be the - flattening if \e f < 1 and the inverse flattening otherwise - (this is a compatible change for spheres and oblate ellipsoids, but it - is an INCOMPATIBLE change for prolate ellipsoids); - - the -e arguments to the \ref utilities are handled similarly; in - addition, simple fractions, e.g., 1/297, can be used for the - flattening; - - introduce Constants::WGS84_f() for the WGS84 - flattening (and deprecate Constants::WGS84_r() for the inverse - flattening); - - most classes have a Flattening() member function; - - InverseFlattening() has been deprecated (and now returns inf for a - sphere, instead of 0). - - - Version 1.10 - (released 2011-06-11) - - Improvements to MATLAB/Octave interface: - - add {geocentric,localcartesian}{forward,reverse}; - - make geographiclibinterface more general; - - install the source for the interface; - - cmake compiles the interface if ENABLE_MATLAB=ON; - - include compiled interface with Windows binary installer. - - Fix various configuration issues - - autoconf did not install Config.h; - - cmake installed in man/man1 instead of share/man/man1; - - cmake did not set the rpath on the tools. - - - Version 1.9 - (released 2011-05-28) - - FIX BUG in area returned by - Planimeter for pole encircling polygons. - - FIX BUG in error message reported when DMS::Decode reads the string - "5d.". - - FIX BUG in AlbersEqualArea::Reverse (lon0 not being used). - - Ensure that all exceptions thrown in the \ref utilities are caught. - - Avoid using catch within DMS. - - Move Accumulator class from Planimeter.cpp to - Constants.hpp. - - Add Math::sq. - - Simplify \ref geoidinst - - add geographiclib-get-geoids for Unix-like systems; - - add installers for Windows. - - Provide cmake support: - - build binary installer for Windows; - - include regression tests; - - add \--input-string, \--input-file, \--output-file options to the - \ref utilities to support tests. - - Rename utility EquidistantTest as - GeodesicProj and TransverseMercatorTest as - TransverseMercatorProj. - - Add ConicProj. - - Reverse the initial sense of the -s option for - Planimeter. - - Migrate source from subversion to git. - - - Version 1.8 - (released 2011-02-22) - - Optionally return rotation matrix from Geocentric and - LocalCartesian. - - For the \ref utilities, supply man pages, -h prints the synopsis, - \--help prints the man page, \--version prints the version. - - Use accurate summation in Planimeter. - - Add 64-bit targets for Visual Studio 2010. - - Use templates for defining math functions and some constants. - - Geoid updates - - Add Geoid::DefaultGeoidPath and - Geoid::DefaultGeoidName; - - GeoidEval uses environment variable - GEOGRAPHICLIB_GEOID_NAME as the default geoid; - - Add \--msltohae and \--haetomsl as - GeoidEval options (and don't - document the single hyphen versions). - - Remove documentation that duplicates papers on transverse Mercator - and geodesics. - - - Version 1.7 - (released 2010-12-21) - - FIX BUG in scale returned by LambertConformalConic::Reverse. - - Add AlbersEqualArea projection. - - Library created by Visual Studio is Geographic.lib instead of - GeographicLib.lib (compatible with makefiles). - - Make classes NaN aware. - - Use cell arrays for MGRS strings in MATLAB. - - Add solution/project files for Visual Studio 2010 (32-bit only). - - Use C++11 static_assert and math functions, if available. - - - Version 1.6 - (released 2010-11-23) - - FIX BUG introduced in Geoid in version 1.5 (found by - Dave Edwards). - - - Version 1.5 - (released 2010-11-19) - - Improve area calculations for small polygons. - - Add -s and -r flags to Planimeter. - - Improve the accuracy of LambertConformalConic using - divided differences. - - FIX BUG in meridian convergence returned by - LambertConformalConic::Forward. - - Add optional threadsafe parameter to Geoid - constructor. WARNING: This changes may break binary compatibility - with previous versions of GeographicLib. However, the library is - source compatible. - - Add OSGB. - - MATLAB and Octave interfaces to UTMUPS, - MGRS, Geoid, Geodesic - provided. - - Minor changes - - explicitly turn on optimization in Visual Studio 2008 projects; - - add missing dependencies in some Makefiles; - - move pi() and degree() from Constants to - Math; - - introduce Math::extended type to aid testing; - - add Math::epi() and Math::edegree(). - - fixes to compile under cygwin; - - tweak expression used to find latitude from conformal latitude. - - - Version 1.4 - (released 2010-09-12) - - Changes to Geodesic and GeodesicLine: - - FIX BUG in Geodesic::Inverse with prolate ellipsoids; - - add area computations to Geodesic::Direct and Geodesic::Inverse; - - add geodesic areas to geodesic test set; - - make GeodesicLine constructor public; - - change longitude series in Geodesic into Helmert-like form; - - ensure that equatorial geodesics have cos(alpha0) = 0 identically; - - generalize interface for Geodesic and GeodesicLine; - - split GeodesicLine and Geodesic into different files; - - signal convergence failure in Geodesic::Inverse with NaNs; - - deprecate one function in Geodesic and two functions in - GeodesicLine; - - deprecate -n option for Geod. - . - WARNING: These changes may break binary compatibility with - previous versions of GeographicLib. However, the library is - source compatible (with the proviso that - GeographicLib/GeodesicLine.hpp may now need to be included). - - Add the Planimeter utility for - computing the areas of geodesic polygons. - - Improve iterative solution of Gnomonic::Reverse. - - Add Geoid::ConvertHeight. - - Add -msltohae, -haetomsl, and -z options to - GeoidEval. - - Constructors check that minor radius is positive. - - Add overloaded Forward and Reverse functions to the projection - classes which don't return the convergence (or azimuth) and scale. - - Document function parameters and return values consistently. - - - Version 1.3 - (released 2010-07-21) - - Add Gnomonic, the ellipsoid generalization of the - gnomonic projection. - - Add -g and -e options to - EquidistantTest. - - Use fixed-point notation for output from - CartConvert, - EquidistantTest, - TransverseMercatorTest. - - PolarStereographic: - - Improved conversion to conformal coordinates; - - Fix bug with scale at opposite pole; - - Complain if latitude out of range in SetScale. - - Add Math::NaN(). - - Add long double version of hypot for Windows. - - Add EllipticFunction::E(real). - - Update references to Geotrans in MGRS documentation. - - Speed up tmseries.mac. - - - Version 1.2 - (released 2010-05-21) - - FIX BUGS in Geodesic, - - wrong azimuth returned by Direct if point 2 is on a pole; - - Inverse sometimes fails with very close points. - - Improve calculation of scale in CassiniSoldner, - - add GeodesicLine::Scale, - GeodesicLine::EquatorialAzimuth, and - GeodesicLine::EquatorialArc; - - break friend connection between CassiniSoldner and Geodesic. - - Add DMS::DecodeAngle and - DMS::DecodeAzimuth. Extend - DMS::Decode and DMS::Encode to deal - with distances. - - Code and documentation changes in Geodesic and - Geocentric for consistency with - the forthcoming paper on geodesics. - - Increase order of series using in Geodesic to 6 (full - accuracy maintained for ellipsoid flattening < 0.01). - - Macro __NO_LONG_DOUBLE_MATH to disable use of long double. - - Correct declaration of Math::isfinite to return a bool. - - Changes in the \ref utilities, - - improve error reporting when parsing command line arguments; - - accept latitudes and longitudes in decimal degrees or degrees, - minutes, and seconds, with optional hemisphere designators; - - GeoConvert -z accepts zone or - zone+hemisphere; - - GeoidEval accepts any of the input - formats used by GeoConvert; - - CartConvert allows the ellipsoid - to be specified with -e. - - - Version 1.1 - (released 2010-02-09) - - FIX BUG (introduced in 2009-03) in EllipticFunction::E(sn,cn,dn). - - Increase accuracy of scale calculation in TransverseMercator and - TransverseMercatorExact. - - Code and documentation changes for consistency with - arXiv:1002.1417 - - - Version 1.0 - (released 2010-01-07) - - Add autoconf configuration files. - - BUG FIX: Improve initial guess for Newton's method in - PolarStereographic::Reverse. (Previously this failed to converge - when the co-latitude exceeded about 130 deg.) - - Constructors for TransverseMercator, TransverseMercatorExact, - PolarStereographic, Geocentric, and Geodesic now check for obvious - problems with their arguments and throw an exception if necessary. - - Most classes now include inspector functions such as MajorRadius() - so that you can determine how instances were constructed. - - Add LambertConformalConic class. - - Add PolarStereographic::SetScale to allow the - latitude of true scale to be specified. - - Add solution and project files for Visual Studio 2008. - - Add GeographicErr for exceptions. - - Geoid changes: - - BUG FIX: fix typo in Geoid::Cache which could cause - a segmentation fault in some cases when the cached area spanned - the prime meridian. - - Include sufficient edge data to allow heights to be returned for - cached area without disk reads; - - Add inspector functions to query the extent of the cache. - - - Version 2009-11 - (released 2009-11-03) - - Allow specification of "closest UTM zone" in UTMUPS - and GeoConvert (via -t option). - - Utilities now complain is there are too many tokens on input lines. - - Include real-to-real versions of DMS::Decode and - DMS::Encode. - - More house-cleaning changes: - - Ensure that functions which return results through reference - arguments do not alter the arguments when an exception is thrown. - - Improve accuracy of MGRS::Forward. - - Include more information in some error messages. - - Improve accuracy of inverse hyperbolic functions. - - Fix the way Math functions handle different precisions. - - - Version 2009-10 - (released 2009-10-18) - - Change web site to https://geographiclib.sourceforge.io - - Several house-cleaning changes: - - Change from the a flat directory structure to a more easily - maintained one. - - Introduce Math class for common mathematical functions (in - Constants.hpp). - - Use Math::real as the type for all real quantities. By default this - is typedef'ed to double; and the library should be installed this - way. - - Eliminate const reference members of AzimuthalEquidistant, - CassiniSoldner and LocalCartesian so that they may be copied. - - Make several constructors explicit. Disallow some constructors. - Disallow copy constructor/assignment for Geoid. - - Document least squares formulas in Geoid.cpp. - - Use unsigned long long for files positions of geoid files in Geoid. - - Introduce optional mgrslimits argument in UTMUPS::Forward and - UTMUPS::Reverse to enforce stricter MGRS limits on eastings and - northings. - - Add 64-bit targets in Visual Studio project files. - - - Version 2009-09 - (released 2009-09-01) - - Add Geoid and - GeoidEval utility. - - - Version 2009-08 - (released 2009-08-14) - - Add CassiniSoldner class and - EquidistantTest utility. - - Fix bug in Geodesic::Inverse where NaNs were - sometimes returned. - - INCOMPATIBLE CHANGE: AzimuthalEquidistant now returns the reciprocal - of the azimuthal scale instead of the reduced length. - - Add -n option to GeoConvert. - - - Version 2009-07 - (released 2009-07-16) - - Speed up the series inversion code in tmseries.mac and geod.mac. - - Reference Borkowski in section on \ref geocentric. - - - Version 2009-06 - (released 2009-06-01) - - Add routines to decode and encode zone+hemisphere to UTMUPS. - - Clean up code in Geodesic. - - - Version 2009-05 - (released 2009-05-01) - - Improvements to Geodesic: - - more economical series expansions, - - return reduced length (as does the - Geod utility), - - improved calculation of starting point for inverse method, - - use reduced length to give derivative for Newton's method. - - Add AzimuthalEquidistant class. - - Make Geocentric, TransverseMercator, - and PolarStereographic classes work with prolate - ellipsoids. - - CartConvert checks its inputs more - carefully. - - Remove reference to defunct Constants.cpp from GeographicLib.vcproj. - - - Version 2009-04 - (released 2009-04-01) - - Use compile-time constants to select the order of series in - TransverseMercator. - - 2x unroll of Clenshaw summation to avoid data shuffling. - - Simplification of EllipticFunction::E. - - Use STATIC_ASSERT for compile-time checking of constants. - - Improvements to Geodesic: - - compile-time option to change order of series used, - - post Maxima code for generating the series, - - tune the order of series for double, - - improvements in the selection of starting points for Newton's - method, - - accept and return spherical arc lengths, - - works with both oblate and prolate ellipsoids, - - add -a, -e, -b options to the Geod - utility. - - - Version 2009-03 - (released 2009-03-01) - - Add Geodesic and the - Geod utility. - - Declare when no exceptions are thrown by functions. - - Minor changes to DMS class. - - Use invf = 0 to mean a sphere in constructors to some classes. - - The makefile creates a library and includes an install target. - - Rename ECEF to Geocentric, ECEFConvert - to CartConvert. - - Use inline functions to define constant doubles in Constants.hpp. - - - Version 2009-02 - (released 2009-01-30) - - Fix documentation of constructors (flattening → inverse - flattening). - - Use std versions of math functions. - - Add ECEF and LocalCartesian classes - and the ECEFConvert utility. - - Gather the documentation on the \ref utilities onto one page. - - - Version 2009-01 - (released 2009-01-12) - - First proper release of library. - - More robust TransverseMercatorExact: - - Introduce \e extendp version of constructor, - - Test against extended test data, - - Optimize starting positions for Newton's method, - - Fix behavior near all singularities, - - Fix order dependence in C++ start-up code, - - Improved method of computing scale and convergence. - - Documentation on transverse Mercator projection. - - Add MGRS, UTMUPS, etc. - - - Version 2008-09 - - Ad hoc posting of information on the transverse Mercator projection. - -
-Back to \ref highprec. Up to \ref contents. -
-**********************************************************************/ -} diff --git a/libs/GeographicLib-1.50.1/doc/Makefile.am b/libs/GeographicLib-1.50.1/doc/Makefile.am deleted file mode 100644 index d1832930fdb99a4cb7c20cb8788ddb10dc8b7d1b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/Makefile.am +++ /dev/null @@ -1,132 +0,0 @@ -EXTRAFILES = $(srcdir)/tmseries30.html $(srcdir)/geodseries30.html - -FIGURES = \ - $(srcdir)/gauss-krueger-graticule.png \ - $(srcdir)/thompson-tm-graticule.png \ - $(srcdir)/gauss-krueger-convergence-scale.png \ - $(srcdir)/gauss-schreiber-graticule-a.png \ - $(srcdir)/gauss-krueger-graticule-a.png \ - $(srcdir)/thompson-tm-graticule-a.png \ - $(srcdir)/gauss-krueger-error.png \ - $(srcdir)/meridian-measures.png \ - $(srcdir)/normal-gravity-potential-1.svg \ - $(srcdir)/vptree.gif - -HPPFILES = \ - $(top_srcdir)/include/GeographicLib/Accumulator.hpp \ - $(top_srcdir)/include/GeographicLib/AlbersEqualArea.hpp \ - $(top_srcdir)/include/GeographicLib/AzimuthalEquidistant.hpp \ - 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utilities.html.in > html/utilities.html - sed -e "s%@PROJECT_VERSION@%$(VERSION)%g" \ - index.html.in > html/index.html - -PREFIX = /usr/local -DEST = $(PREFIX)/share/doc/GeographicLib -DOCDEST = $(DEST)/html -INSTALL = install -b - -install: html/index.html - test -d $(DOCDEST) || mkdir -p $(DOCDEST) - $(INSTALL) -m 644 html/* $(DOCDEST)/ - -.PHONY: doc install clean diff --git a/libs/GeographicLib-1.50.1/doc/NETGeographicLib.dox b/libs/GeographicLib-1.50.1/doc/NETGeographicLib.dox deleted file mode 100644 index 8560d07091b56304f9819bace15e197f85e4d5b1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/NETGeographicLib.dox +++ /dev/null @@ -1,252 +0,0 @@ -// -*- text -*- -/** - * \file NETGeographicLib.dox - * \brief Documentation for NETGeographicLib - * - * Written by Scott Heiman and licensed under the - * MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -/** -\mainpage NETGeographicLib library -\author Scott Heiman (mrmtdew2@outlook.com) -\version 1.50.1 -\date 2019-12-13 - -The documentation for other versions is available at -https://geographiclib.sourceforge.io/m.nn/NET for versions numbers -m.nn ≥ 1.33. - -\section abstract-net Abstract - -%NETGeographicLib is a .NET wrapper for GeographicLib. It allows -.NET developers to access GeographicLib classes within C#, Visual -Basic, Managed C++, and other Microsoft .NET languages. - -NETGeographicLib is written in Managed C++. It IS NOT a reimplementation -of the GeographicLib software. It is a container that provides interfaces -to the GeographicLib classes. GeographicLib and NETGeographicLib is an -integrated product. - -The NETGeographic solutions and C++ projects are located in the -\/GeographicLib-1.50.1/windows folder where \ is the -directory where you unpacked the GeographicLib source distribution. The -C# Projections projects are located in the -\/GeographicLib-1.50.1/dotnet/Projections folder. Solution files -have been provided for VS 2010 and VS 2013 NETGeographicLib is not -available for older versions of Microsoft Visual Studio. - -NETGeographicLib has been tested with C#, Managed C++, and Visual Basic. -Sample code snippets can be found in -\/GeographicLib-1.50.1/dotnet/examples. - -\section differences Differences between NETGeographicLib and GeographicLib - -The NETGeographicLib class names are identical to the GeographicLib class names. -All NETGeographicLib classes are in the NETGeographicLib namespace. - -NETGeographicLib exposes most of the GeographicLib classes. The exceptions -are SphericalEngine, GeographicLib::Math, and most of GeographicLib::Utility. The -SphericalEngine class is a template class which (according to the comments in -the SphericalEngine.h file) is not usually accessible to developers. The -GeographicLib::Math class contains several specialized functions required by -GeographicLib classes. They have limited use outside GeographicLib. This class -may be exposed in a future release if there is demand for it. The functions -provided by GeographicLib::Utility duplicate functions provided by existing .NET -controls (DateTime). The GeographicLib::Utility::fractionalyear function is -available to .NET programmers by calling NETGeographicLib::Utility::FractionalYear. - -The SphericalCoefficients class replaces the SphericalEngine::coeff class. - -The NETGeographicLib class function interfaces are similar, and in many cases, -identical to the GeographicLib interfaces. There are differences because of -limitations in .NET and other differences that are discretionary. The comments -in the header files contain a section labeled "INTERFACE DIFFERENCES" that detail -the differences between the NETGeographicLib interfaces and the GeographicLib -interfaces. The differences are summarized in the text that follows. - -Default values for function parameters are not supported in .NET. If -the documentation refers to a default value for a parameter, it applies -only to GeographicLib. However, such a "default" value often provides a -reasonable choice for this parameter. - -Several GeographicLib class functions accept or return a "capabilities mask" as -an unsigned integer. The NETGeographicLib classes accept and return the capabilities -mask as an enumeration. - -The Geocentric and LocalCartesian classes have functions that return a rotation matrix. -The NETGeographicLib versions return a two-dimensional, 3 × 3 array rather than a vector. - -A lot of GeographicLib classes have inspector functions (MajorRadius, -Flattening, etc.). These inspector functions are implemented as -properties in NETGeographicLib. - -NETGeographicLib classes do not implement constructors that create "uninitialized" objects. - -Many NETGeographicLib classes implement a default constructor that assumes WGS84 parameters. - -Several GeographicLib classes implement the () operator. NETGeographicLib classes -replace the () operator with a specific function. Managed C++ allows developers to -overload the () operator; however, the () operator is not 'elegantly' supported in -other .NET languages. For example, if the () operator was implemented in the -NETGeographicLib::Geoid class, then C# code would look like -\code -Geoid geoid = new Geoid(); -double h = geoid.op_FuncCall(latitude,longitude); // if () operator was implemented. -h = geoid.Height(latitude,longitude); // with () operator replaced with Height -\endcode -The author felt that the op_FuncCall syntax did not appropriately define the purpose -of the function call. - -.NET does not allow developers to overload the assignment operators (=,+=,-=,*=). -These operators have been replaced with functions in the NETGeographicLib::Accumulator class. - -\section library Using NETGeographicLib in a .NET Application - -If you have access to the NETGeographicLib and GeographicLib projects then --# Create a new solution. --# Create a new project using any .NET language. For this example, call it MyApp. --# Add the NETGeographic and Geographic projects to the solution. Verify that NETGeographicLib depends upon GeographicLib. --# Right-Click MyApp in the Solution View and select "Add Reference..." (C#/VB) or "References..." (Managed C++) in the pop-up menu. --# (Managed C++) Click the "Add New Reference..." button in the Properties dialog. -\image html NETGeographicLib3.png --# Click the Projects Tab and select NETGeographic. - \image html NETGeographicLib1.png --# Click OK. - -If you only have access to the NETGeographic.dll then --# Create a new solution. --# Create a new project using any .NET language. For this example, call it MyApp. --# Right-Click MyApp in the Solution View and select "Add Reference..." in the popup menu. --# Right-Click MyApp in the Solution View and select "Add Reference..." (C#/VB) or "References..." (Managed C++) in the pop-up menu. --# (Managed C++) Click the "Add New Reference..." button in the Properties dialog. -\image html NETGeographicLib3.png --# Click the Browse Tab and navigate to the folder containing NETGeographic.dll. -\image html NETGeographicLib2.png --# Select NETGeographic.dll and click OK. - -The MyApp project will have access to all public NETGeographicLib classes after the -NETGeographic reference is added to MyApp. - -C# developers should add -\code using NETGeographicLib; \endcode -to any C# source file that uses NETGeographicLib. - -Managed C++ developers should add -\code using namespace NETGeographicLib; \endcode -to any C++ source that uses NETGeographicLib classes. - -Visual Basic developers should add -\code Imports NETGeographicLib \endcode -to any Visual Basic source that uses NETGeographicLib classes. - -\section sample C# Sample Application - -A C# sample application is provided that demonstrates NETGeographicLib classes. -The source code for the sample application is located in -\/GeographicLib-1.50.1/dotnet/Projections. The sample -application creates a tabbed dialog. Each tab provides data entry fields that -allow the user to exercise one or more NETGeographicLib classes. - -The following table lists the source code that demonstrates specific classes. -
- - - - - - - - - - - - - - - - - - - -
Source FileClasses
AccumPanel.csAccumulator
AlbersPanel.csAlbersEqualArea, LambertConformalConic, TransverseMercator, TransverseMercatorExact
EllipsoidPanel.csEllipsoid
EllipticPanel.csEllipticFunction
GeocentricPanel.csGeocentric
GeodesicPanel.csGeodesic, GeodesicLine, GeodesicExact, GeodesicLineExact
GeoidPanel.csGeoid
GravityPanel.csNormalGravity, GravityModel, GravityCircle
LocalCartesianPanel.csLocalCartesian
MagneticPanel.csMagneticModel, MagneticCircle
MiscPanel.csDMS, Geohash, GARS, Georef
PolarStereoPanel.csPolarStereographic
PolyPanel.csPolygonArea
ProjectionsPanel.csAzimuthalEquidistant, CassiniSoldner, Gnomonic
SphericalHarmonicsPanel.csSphericalHarmonic, SphericalHarmonic1, SphericalHarmonic2, CircularEngine, SphericalCoefficients
TypeIIIProjPanel.csUTMUPS, MGRS, OSGB
RhumbPanel.csRhumb, RhumbLine
-
- -\section netcmake Using cmake to build a Managed C++ Application - -The following assumes that you have installed %GeographicLib in one of -two ways: -- you have built and installed %GeographicLib using cmake with - -D BUILD_NETGEOGRAPHICLIB=ON (see - \ref cmake "Installation with cmake" in the %GeographicLib - documentation). You can use any version of Visual Studio to build - %GeographicLib and should use the same version to build your - application. You can build %GeographicLib as a shared library using - -D GEOGRAPHICLIB_LIB_TYPE=SHARED or BOTH. -- you have installed %GeographicLib using one of the binary installers (see - \ref binaryinstwin "Using a binary installer for Windows" in the - %GeographicLib documentation). In this case, you are restricted to using - Visual Studio 10. - -The minimum version of cmake for use with NETGeographicLib -is 3.1.0 or later. In order to build an application that uses NETGeographicLib -with cmake, ask for the NETGeographicLib "component" of %GeographicLib -using \verbatim -find_package(GeographicLib COMPONENTS NETGeographicLib) \endverbatim -If NETGeographicLib is found, then -GeographicLib_NETGeographicLib_FOUND will be set to true and -GeographicLib_NETGeographicLib_LIBRARIES will be set to the -NETGeographic shared library. This is the name of the cmake target from -which the pathname of the dll can be obtained. - -Here is a very simple test code, which uses the -NETGeographicLib::Geodesic class: -\include example-Geodesic-small.cpp -This example is -dotnet/examples/ManagedCPP/example-Geodesic-small.cpp. - -Here is a complete CMakeList.txt files you can use to build this test -code using the installed library: \verbatim -project (geodesictest) -cmake_minimum_required (VERSION 2.8.7) # required for VS_DOTNET_REFERENCES - -find_package (GeographicLib 1.35 REQUIRED COMPONENTS NETGeographicLib) - -add_executable (${PROJECT_NAME} example-Geodesic-small.cpp) -set_target_properties (${PROJECT_NAME} PROPERTIES COMPILE_FLAGS "/clr") -string (REPLACE "/RTC1" "" CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG}") -string (REPLACE "/EHsc" "" CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}") - -# This is set up for Release builds only. Change RELEASE to DEBUG for -# Debug builds. -get_target_property (_LOC "${GeographicLib_NETGeographicLib_LIBRARIES}" - IMPORTED_LOCATION_RELEASE) -set_target_properties (${PROJECT_NAME} PROPERTIES VS_DOTNET_REFERENCES ${_LOC}) - -get_target_property (_LIB "${GeographicLib_NETGeographicLib_LIBRARIES}" - IMPORTED_LINK_INTERFACE_LIBRARIES_RELEASE) -get_target_property (_LIBTYPE ${_LIB} TYPE) -if (_LIBTYPE STREQUAL "SHARED_LIBRARY") - # On Windows systems, copy the shared library to build directory - add_custom_command (TARGET ${PROJECT_NAME} POST_BUILD - COMMAND ${CMAKE_COMMAND} -E - copy $ ${CMAKE_CFG_INTDIR} - COMMENT "Copying shared library for GeographicLib") -endif () \endverbatim -The typical invocation of cmake is \verbatim -mkdir BUILD -cd BUILD -cmake -G "Visual Studio 10" -D CMAKE_PREFIX_PATH=C:/pkg-vc10 .. -cmake --build . --config Release \endverbatim -The version of Visual Studio should match that used to build -NETGeographicLib. NOTE: With Visual Studio 10, this results in -warnings such as \verbatim -warning C4945: 'ExtensionAttribute' : cannot import symbol from ... \endverbatim -which can be safely(?) ignored. - -Running the example with \verbatim -Release\geodesictest.exe \endverbatim -should give \verbatim - 5551.75940031868 km \endverbatim -**********************************************************************/ diff --git a/libs/GeographicLib-1.50.1/doc/NETGeographicLib1.png b/libs/GeographicLib-1.50.1/doc/NETGeographicLib1.png deleted file mode 100644 index 22049cdbf89028032859f1215ef33a628793b174..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/NETGeographicLib1.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/NETGeographicLib2.png b/libs/GeographicLib-1.50.1/doc/NETGeographicLib2.png deleted file mode 100644 index 57e34a69c5c646083b3348608e1de249fe7a0e8b..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/NETGeographicLib2.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/NETGeographicLib3.png b/libs/GeographicLib-1.50.1/doc/NETGeographicLib3.png deleted file mode 100644 index 6d4870b80e956c3c1967f22036d6146ca7fa6c3a..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/NETGeographicLib3.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/doxyfile-c.in b/libs/GeographicLib-1.50.1/doc/doxyfile-c.in deleted file mode 100644 index e1dc5788dbc496c2b17c5634e22443e02476b3e1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/doxyfile-c.in +++ /dev/null @@ -1,1784 +0,0 @@ -# Doxyfile 1.8.2 - -# This file describes the settings to be used by the documentation system -# doxygen (www.doxygen.org) for a project. -# -# All text after a hash (#) is considered a comment and will be ignored. -# The format is: -# TAG = value [value, ...] -# For lists items can also be appended using: -# TAG += value [value, ...] -# Values that contain spaces should be placed between quotes (" "). - -#--------------------------------------------------------------------------- -# Project related configuration options -#--------------------------------------------------------------------------- - -# This tag specifies the encoding used for all characters in the config file -# that follow. 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At the end of a run doxygen will report the cache usage and suggest -# the optimal cache size from a speed point of view. -# Minimum value: 0, maximum value: 9, default value: 0. - -LOOKUP_CACHE_SIZE = 0 - -#--------------------------------------------------------------------------- -# Build related configuration options -#--------------------------------------------------------------------------- - -# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in -# documentation are documented, even if no documentation was available. -# Private class members and static file members will be hidden unless -# the EXTRACT_PRIVATE and EXTRACT_STATIC tags are set to YES - -EXTRACT_ALL = YES - -# If the EXTRACT_PRIVATE tag is set to YES all private members of a class -# will be included in the documentation. - -EXTRACT_PRIVATE = NO - -# If the EXTRACT_PACKAGE tag is set to YES all members with package or internal -# scope will be included in the documentation. - -EXTRACT_PACKAGE = NO - -# If the EXTRACT_STATIC tag is set to YES all static members of a file -# will be included in the documentation. - -EXTRACT_STATIC = YES - -# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs) -# defined locally in source files will be included in the documentation. -# If set to NO only classes defined in header files are included. - -EXTRACT_LOCAL_CLASSES = YES - -# This flag is only useful for Objective-C code. When set to YES local -# methods, which are defined in the implementation section but not in -# the interface are included in the documentation. -# If set to NO (the default) only methods in the interface are included. - -EXTRACT_LOCAL_METHODS = NO - -# If this flag is set to YES, the members of anonymous namespaces will be -# extracted and appear in the documentation as a namespace called -# 'anonymous_namespace{file}', where file will be replaced with the base -# name of the file that contains the anonymous namespace. By default -# anonymous namespaces are hidden. - -EXTRACT_ANON_NSPACES = NO - -# If the HIDE_UNDOC_MEMBERS tag is set to YES, Doxygen will hide all -# undocumented members of documented classes, files or namespaces. -# If set to NO (the default) these members will be included in the -# various overviews, but no documentation section is generated. -# This option has no effect if EXTRACT_ALL is enabled. - -HIDE_UNDOC_MEMBERS = NO - -# If the HIDE_UNDOC_CLASSES tag is set to YES, Doxygen will hide all -# undocumented classes that are normally visible in the class hierarchy. -# If set to NO (the default) these classes will be included in the various -# overviews. This option has no effect if EXTRACT_ALL is enabled. - -HIDE_UNDOC_CLASSES = NO - -# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, Doxygen will hide all -# friend (class|struct|union) declarations. -# If set to NO (the default) these declarations will be included in the -# documentation. - -HIDE_FRIEND_COMPOUNDS = NO - -# If the HIDE_IN_BODY_DOCS tag is set to YES, Doxygen will hide any -# documentation blocks found inside the body of a function. -# If set to NO (the default) these blocks will be appended to the -# function's detailed documentation block. - -HIDE_IN_BODY_DOCS = NO - -# The INTERNAL_DOCS tag determines if documentation -# that is typed after a \internal command is included. If the tag is set -# to NO (the default) then the documentation will be excluded. -# Set it to YES to include the internal documentation. - -INTERNAL_DOCS = NO - -# If the CASE_SENSE_NAMES tag is set to NO then Doxygen will only generate -# file names in lower-case letters. If set to YES upper-case letters are also -# allowed. This is useful if you have classes or files whose names only differ -# in case and if your file system supports case sensitive file names. Windows -# and Mac users are advised to set this option to NO. - -CASE_SENSE_NAMES = YES - -# If the HIDE_SCOPE_NAMES tag is set to NO (the default) then Doxygen -# will show members with their full class and namespace scopes in the -# documentation. If set to YES the scope will be hidden. - -HIDE_SCOPE_NAMES = NO - -# If the SHOW_INCLUDE_FILES tag is set to YES (the default) then Doxygen -# will put a list of the files that are included by a file in the documentation -# of that file. - -SHOW_INCLUDE_FILES = YES - -# If the FORCE_LOCAL_INCLUDES tag is set to YES then Doxygen -# will list include files with double quotes in the documentation -# rather than with sharp brackets. - -FORCE_LOCAL_INCLUDES = NO - -# If the INLINE_INFO tag is set to YES (the default) then a tag [inline] -# is inserted in the documentation for inline members. - -INLINE_INFO = YES - -# If the SORT_MEMBER_DOCS tag is set to YES (the default) then doxygen -# will sort the (detailed) documentation of file and class members -# alphabetically by member name. If set to NO the members will appear in -# declaration order. - -SORT_MEMBER_DOCS = NO - -# If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the -# brief documentation of file, namespace and class members alphabetically -# by member name. If set to NO (the default) the members will appear in -# declaration order. - -SORT_BRIEF_DOCS = NO - -# If the SORT_MEMBERS_CTORS_1ST tag is set to YES then doxygen -# will sort the (brief and detailed) documentation of class members so that -# constructors and destructors are listed first. If set to NO (the default) -# the constructors will appear in the respective orders defined by -# SORT_MEMBER_DOCS and SORT_BRIEF_DOCS. -# This tag will be ignored for brief docs if SORT_BRIEF_DOCS is set to NO -# and ignored for detailed docs if SORT_MEMBER_DOCS is set to NO. - -SORT_MEMBERS_CTORS_1ST = NO - -# If the SORT_GROUP_NAMES tag is set to YES then doxygen will sort the -# hierarchy of group names into alphabetical order. If set to NO (the default) -# the group names will appear in their defined order. - -SORT_GROUP_NAMES = NO - -# If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be -# sorted by fully-qualified names, including namespaces. If set to -# NO (the default), the class list will be sorted only by class name, -# not including the namespace part. -# Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES. -# Note: This option applies only to the class list, not to the -# alphabetical list. - -SORT_BY_SCOPE_NAME = NO - -# If the STRICT_PROTO_MATCHING option is enabled and doxygen fails to -# do proper type resolution of all parameters of a function it will reject a -# match between the prototype and the implementation of a member function even -# if there is only one candidate or it is obvious which candidate to choose -# by doing a simple string match. By disabling STRICT_PROTO_MATCHING doxygen -# will still accept a match between prototype and implementation in such cases. - -STRICT_PROTO_MATCHING = NO - -# The GENERATE_TODOLIST tag can be used to enable (YES) or -# disable (NO) the todo list. This list is created by putting \todo -# commands in the documentation. - -GENERATE_TODOLIST = YES - -# The GENERATE_TESTLIST tag can be used to enable (YES) or -# disable (NO) the test list. This list is created by putting \test -# commands in the documentation. - -GENERATE_TESTLIST = YES - -# The GENERATE_BUGLIST tag can be used to enable (YES) or -# disable (NO) the bug list. This list is created by putting \bug -# commands in the documentation. - -GENERATE_BUGLIST = YES - -# The GENERATE_DEPRECATEDLIST tag can be used to enable (YES) or -# disable (NO) the deprecated list. This list is created by putting -# \deprecated commands in the documentation. - -GENERATE_DEPRECATEDLIST= YES - -# The ENABLED_SECTIONS tag can be used to enable conditional -# documentation sections, marked by \if sectionname ... \endif. - -ENABLED_SECTIONS = - -# The MAX_INITIALIZER_LINES tag determines the maximum number of lines -# the initial value of a variable or macro consists of for it to appear in -# the documentation. If the initializer consists of more lines than specified -# here it will be hidden. Use a value of 0 to hide initializers completely. -# The appearance of the initializer of individual variables and macros in the -# documentation can be controlled using \showinitializer or \hideinitializer -# command in the documentation regardless of this setting. - -MAX_INITIALIZER_LINES = 0 - -# Set the SHOW_USED_FILES tag to NO to disable the list of files generated -# at the bottom of the documentation of classes and structs. If set to YES the -# list will mention the files that were used to generate the documentation. - -SHOW_USED_FILES = YES - -# Set the SHOW_FILES tag to NO to disable the generation of the Files page. -# This will remove the Files entry from the Quick Index and from the -# Folder Tree View (if specified). The default is YES. - -SHOW_FILES = YES - -# Set the SHOW_NAMESPACES tag to NO to disable the generation of the -# Namespaces page. -# This will remove the Namespaces entry from the Quick Index -# and from the Folder Tree View (if specified). The default is YES. - -SHOW_NAMESPACES = YES - -# The FILE_VERSION_FILTER tag can be used to specify a program or script that -# doxygen should invoke to get the current version for each file (typically from -# the version control system). Doxygen will invoke the program by executing (via -# popen()) the command , where is the value of -# the FILE_VERSION_FILTER tag, and is the name of an input file -# provided by doxygen. Whatever the program writes to standard output -# is used as the file version. See the manual for examples. - -FILE_VERSION_FILTER = - -# The LAYOUT_FILE tag can be used to specify a layout file which will be parsed -# by doxygen. The layout file controls the global structure of the generated -# output files in an output format independent way. To create the layout file -# that represents doxygen's defaults, run doxygen with the -l option. -# You can optionally specify a file name after the option, if omitted -# DoxygenLayout.xml will be used as the name of the layout file. - -LAYOUT_FILE = - -# The CITE_BIB_FILES tag can be used to specify one or more bib files -# containing the references data. This must be a list of .bib files. The -# .bib extension is automatically appended if omitted. Using this command -# requires the bibtex tool to be installed. See also -# http://en.wikipedia.org/wiki/BibTeX for more info. For LaTeX the style -# of the bibliography can be controlled using LATEX_BIB_STYLE. To use this -# feature you need bibtex and perl available in the search path. - -CITE_BIB_FILES = - -#--------------------------------------------------------------------------- -# configuration options related to warning and progress messages -#--------------------------------------------------------------------------- - -# The QUIET tag can be used to turn on/off the messages that are generated -# by doxygen. Possible values are YES and NO. If left blank NO is used. - -QUIET = NO - -# The WARNINGS tag can be used to turn on/off the warning messages that are -# generated by doxygen. Possible values are YES and NO. If left blank -# NO is used. - -WARNINGS = YES - -# If WARN_IF_UNDOCUMENTED is set to YES, then doxygen will generate warnings -# for undocumented members. If EXTRACT_ALL is set to YES then this flag will -# automatically be disabled. - -WARN_IF_UNDOCUMENTED = YES - -# If WARN_IF_DOC_ERROR is set to YES, doxygen will generate warnings for -# potential errors in the documentation, such as not documenting some -# parameters in a documented function, or documenting parameters that -# don't exist or using markup commands wrongly. - -WARN_IF_DOC_ERROR = YES - -# The WARN_NO_PARAMDOC option can be enabled to get warnings for -# functions that are documented, but have no documentation for their parameters -# or return value. If set to NO (the default) doxygen will only warn about -# wrong or incomplete parameter documentation, but not about the absence of -# documentation. - -WARN_NO_PARAMDOC = NO - -# The WARN_FORMAT tag determines the format of the warning messages that -# doxygen can produce. The string should contain the $file, $line, and $text -# tags, which will be replaced by the file and line number from which the -# warning originated and the warning text. Optionally the format may contain -# $version, which will be replaced by the version of the file (if it could -# be obtained via FILE_VERSION_FILTER) - -WARN_FORMAT = "$file:$line: $text" - -# The WARN_LOGFILE tag can be used to specify a file to which warning -# and error messages should be written. If left blank the output is written -# to stderr. - -WARN_LOGFILE = - -#--------------------------------------------------------------------------- -# configuration options related to the input files -#--------------------------------------------------------------------------- - -# The INPUT tag can be used to specify the files and/or directories that contain -# documented source files. You may enter file names like "myfile.cpp" or -# directories like "/usr/src/myproject". Separate the files or directories -# with spaces. - -INPUT = @PROJECT_SOURCE_DIR@/legacy/C \ - @PROJECT_SOURCE_DIR@/doc/geodesic-c.dox - -# This tag can be used to specify the character encoding of the source files -# that doxygen parses. Internally doxygen uses the UTF-8 encoding, which is -# also the default input encoding. Doxygen uses libiconv (or the iconv built -# into libc) for the transcoding. See http://www.gnu.org/software/libiconv for -# the list of possible encodings. - -INPUT_ENCODING = UTF-8 - -# If the value of the INPUT tag contains directories, you can use the -# FILE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp -# and *.h) to filter out the source-files in the directories. If left -# blank the following patterns are tested: -# *.c *.cc *.cxx *.cpp *.c++ *.d *.java *.ii *.ixx *.ipp *.i++ *.inl *.h *.hh -# *.hxx *.hpp *.h++ *.idl *.odl *.cs *.php *.php3 *.inc *.m *.mm *.dox *.py -# *.f90 *.f *.for *.vhd *.vhdl - -FILE_PATTERNS = *.c \ - *.h - -# The RECURSIVE tag can be used to turn specify whether or not subdirectories -# should be searched for input files as well. Possible values are YES and NO. -# If left blank NO is used. - -RECURSIVE = NO - -# The EXCLUDE tag can be used to specify files and/or directories that should be -# excluded from the INPUT source files. This way you can easily exclude a -# subdirectory from a directory tree whose root is specified with the INPUT tag. -# Note that relative paths are relative to the directory from which doxygen is -# run. - -EXCLUDE = - -# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or -# directories that are symbolic links (a Unix file system feature) are excluded -# from the input. - -EXCLUDE_SYMLINKS = NO - -# If the value of the INPUT tag contains directories, you can use the -# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude -# certain files from those directories. Note that the wildcards are matched -# against the file with absolute path, so to exclude all test directories -# for example use the pattern */test/* - -EXCLUDE_PATTERNS = - -# The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names -# (namespaces, classes, functions, etc.) that should be excluded from the -# output. The symbol name can be a fully qualified name, a word, or if the -# wildcard * is used, a substring. Examples: ANamespace, AClass, -# AClass::ANamespace, ANamespace::*Test - -EXCLUDE_SYMBOLS = - -# The EXAMPLE_PATH tag can be used to specify one or more files or -# directories that contain example code fragments that are included (see -# the \include command). - -EXAMPLE_PATH = @PROJECT_SOURCE_DIR@/legacy/C - -# If the value of the EXAMPLE_PATH tag contains directories, you can use the -# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp -# and *.h) to filter out the source-files in the directories. If left -# blank all files are included. - -EXAMPLE_PATTERNS = - -# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be -# searched for input files to be used with the \include or \dontinclude -# commands irrespective of the value of the RECURSIVE tag. -# Possible values are YES and NO. If left blank NO is used. - -EXAMPLE_RECURSIVE = NO - -# The IMAGE_PATH tag can be used to specify one or more files or -# directories that contain image that are included in the documentation (see -# the \image command). - -IMAGE_PATH = - -# The INPUT_FILTER tag can be used to specify a program that doxygen should -# invoke to filter for each input file. Doxygen will invoke the filter program -# by executing (via popen()) the command , where -# is the value of the INPUT_FILTER tag, and is the name of an -# input file. Doxygen will then use the output that the filter program writes -# to standard output. -# If FILTER_PATTERNS is specified, this tag will be -# ignored. - -INPUT_FILTER = - -# The FILTER_PATTERNS tag can be used to specify filters on a per file pattern -# basis. -# Doxygen will compare the file name with each pattern and apply the -# filter if there is a match. -# The filters are a list of the form: -# pattern=filter (like *.cpp=my_cpp_filter). See INPUT_FILTER for further -# info on how filters are used. If FILTER_PATTERNS is empty or if -# non of the patterns match the file name, INPUT_FILTER is applied. - -FILTER_PATTERNS = - -# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using -# INPUT_FILTER) will be used to filter the input files when producing source -# files to browse (i.e. when SOURCE_BROWSER is set to YES). - -FILTER_SOURCE_FILES = NO - -# The FILTER_SOURCE_PATTERNS tag can be used to specify source filters per file -# pattern. A pattern will override the setting for FILTER_PATTERN (if any) -# and it is also possible to disable source filtering for a specific pattern -# using *.ext= (so without naming a filter). This option only has effect when -# FILTER_SOURCE_FILES is enabled. - -FILTER_SOURCE_PATTERNS = - -#--------------------------------------------------------------------------- -# configuration options related to source browsing -#--------------------------------------------------------------------------- - -# If the SOURCE_BROWSER tag is set to YES then a list of source files will -# be generated. Documented entities will be cross-referenced with these sources. -# Note: To get rid of all source code in the generated output, make sure also -# VERBATIM_HEADERS is set to NO. - -SOURCE_BROWSER = YES - -# Setting the INLINE_SOURCES tag to YES will include the body -# of functions and classes directly in the documentation. - -INLINE_SOURCES = NO - -# Setting the STRIP_CODE_COMMENTS tag to YES (the default) will instruct -# doxygen to hide any special comment blocks from generated source code -# fragments. Normal C, C++ and Fortran comments will always remain visible. - -STRIP_CODE_COMMENTS = NO - -# If the REFERENCED_BY_RELATION tag is set to YES -# then for each documented function all documented -# functions referencing it will be listed. - -REFERENCED_BY_RELATION = YES - -# If the REFERENCES_RELATION tag is set to YES -# then for each documented function all documented entities -# called/used by that function will be listed. - -REFERENCES_RELATION = YES - -# If the REFERENCES_LINK_SOURCE tag is set to YES (the default) -# and SOURCE_BROWSER tag is set to YES, then the hyperlinks from -# functions in REFERENCES_RELATION and REFERENCED_BY_RELATION lists will -# link to the source code. -# Otherwise they will link to the documentation. - -REFERENCES_LINK_SOURCE = YES - -# If the USE_HTAGS tag is set to YES then the references to source code -# will point to the HTML generated by the htags(1) tool instead of doxygen -# built-in source browser. The htags tool is part of GNU's global source -# tagging system (see http://www.gnu.org/software/global/global.html). You -# will need version 4.8.6 or higher. - -USE_HTAGS = NO - -# If the VERBATIM_HEADERS tag is set to YES (the default) then Doxygen -# will generate a verbatim copy of the header file for each class for -# which an include is specified. Set to NO to disable this. - -VERBATIM_HEADERS = YES - -#--------------------------------------------------------------------------- -# configuration options related to the alphabetical class index -#--------------------------------------------------------------------------- - -# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index -# of all compounds will be generated. Enable this if the project -# contains a lot of classes, structs, unions or interfaces. - -ALPHABETICAL_INDEX = NO - -# If the alphabetical index is enabled (see ALPHABETICAL_INDEX) then -# the COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns -# in which this list will be split (can be a number in the range [1..20]) - -COLS_IN_ALPHA_INDEX = 5 - -# In case all classes in a project start with a common prefix, all -# classes will be put under the same header in the alphabetical index. -# The IGNORE_PREFIX tag can be used to specify one or more prefixes that -# should be ignored while generating the index headers. - -IGNORE_PREFIX = - -#--------------------------------------------------------------------------- -# configuration options related to the HTML output -#--------------------------------------------------------------------------- - -# If the GENERATE_HTML tag is set to YES (the default) Doxygen will -# generate HTML output. - -GENERATE_HTML = YES - -# The HTML_OUTPUT tag is used to specify where the HTML docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `html' will be used as the default path. - -HTML_OUTPUT = html/C - -# The HTML_FILE_EXTENSION tag can be used to specify the file extension for -# each generated HTML page (for example: .htm,.php,.asp). If it is left blank -# doxygen will generate files with .html extension. - -HTML_FILE_EXTENSION = .html - -# The HTML_HEADER tag can be used to specify a personal HTML header for -# each generated HTML page. If it is left blank doxygen will generate a -# standard header. Note that when using a custom header you are responsible -# for the proper inclusion of any scripts and style sheets that doxygen -# needs, which is dependent on the configuration options used. -# It is advised to generate a default header using "doxygen -w html -# header.html footer.html stylesheet.css YourConfigFile" and then modify -# that header. Note that the header is subject to change so you typically -# have to redo this when upgrading to a newer version of doxygen or when -# changing the value of configuration settings such as GENERATE_TREEVIEW! - -HTML_HEADER = - -# The HTML_FOOTER tag can be used to specify a personal HTML footer for -# each generated HTML page. If it is left blank doxygen will generate a -# standard footer. - -HTML_FOOTER = - -# The HTML_STYLESHEET tag can be used to specify a user-defined cascading -# style sheet that is used by each HTML page. It can be used to -# fine-tune the look of the HTML output. If left blank doxygen will -# generate a default style sheet. Note that it is recommended to use -# HTML_EXTRA_STYLESHEET instead of this one, as it is more robust and this -# tag will in the future become obsolete. - -HTML_STYLESHEET = - -# The HTML_EXTRA_STYLESHEET tag can be used to specify an additional -# user-defined cascading style sheet that is included after the standard -# style sheets created by doxygen. Using this option one can overrule -# certain style aspects. This is preferred over using HTML_STYLESHEET -# since it does not replace the standard style sheet and is therefor more -# robust against future updates. Doxygen will copy the style sheet file to -# the output directory. - -HTML_EXTRA_STYLESHEET = - -# The HTML_EXTRA_FILES tag can be used to specify one or more extra images or -# other source files which should be copied to the HTML output directory. Note -# that these files will be copied to the base HTML output directory. Use the -# $relpath$ marker in the HTML_HEADER and/or HTML_FOOTER files to load these -# files. In the HTML_STYLESHEET file, use the file name only. Also note that -# the files will be copied as-is; there are no commands or markers available. - -HTML_EXTRA_FILES = - -# The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. -# Doxygen will adjust the colors in the style sheet and background images -# according to this color. Hue is specified as an angle on a colorwheel, -# see http://en.wikipedia.org/wiki/Hue for more information. -# For instance the value 0 represents red, 60 is yellow, 120 is green, -# 180 is cyan, 240 is blue, 300 purple, and 360 is red again. -# The allowed range is 0 to 359. - -HTML_COLORSTYLE_HUE = 220 - -# The HTML_COLORSTYLE_SAT tag controls the purity (or saturation) of -# the colors in the HTML output. For a value of 0 the output will use -# grayscales only. A value of 255 will produce the most vivid colors. - -HTML_COLORSTYLE_SAT = 100 - -# The HTML_COLORSTYLE_GAMMA tag controls the gamma correction applied to -# the luminance component of the colors in the HTML output. Values below -# 100 gradually make the output lighter, whereas values above 100 make -# the output darker. The value divided by 100 is the actual gamma applied, -# so 80 represents a gamma of 0.8, The value 220 represents a gamma of 2.2, -# and 100 does not change the gamma. - -HTML_COLORSTYLE_GAMMA = 80 - -# If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML -# page will contain the date and time when the page was generated. Setting -# this to NO can help when comparing the output of multiple runs. - -HTML_TIMESTAMP = NO - -# If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML -# documentation will contain sections that can be hidden and shown after the -# page has loaded. - -HTML_DYNAMIC_SECTIONS = NO - -# With HTML_INDEX_NUM_ENTRIES one can control the preferred number of -# entries shown in the various tree structured indices initially; the user -# can expand and collapse entries dynamically later on. Doxygen will expand -# the tree to such a level that at most the specified number of entries are -# visible (unless a fully collapsed tree already exceeds this amount). -# So setting the number of entries 1 will produce a full collapsed tree by -# default. 0 is a special value representing an infinite number of entries -# and will result in a full expanded tree by default. - -HTML_INDEX_NUM_ENTRIES = 100 - -# If the GENERATE_DOCSET tag is set to YES, additional index files -# will be generated that can be used as input for Apple's Xcode 3 -# integrated development environment, introduced with OSX 10.5 (Leopard). -# To create a documentation set, doxygen will generate a Makefile in the -# HTML output directory. Running make will produce the docset in that -# directory and running "make install" will install the docset in -# ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find -# it at startup. -# See http://developer.apple.com/tools/creatingdocsetswithdoxygen.html -# for more information. - -GENERATE_DOCSET = NO - -# When GENERATE_DOCSET tag is set to YES, this tag determines the name of the -# feed. A documentation feed provides an umbrella under which multiple -# documentation sets from a single provider (such as a company or product suite) -# can be grouped. - -DOCSET_FEEDNAME = "Doxygen generated docs" - -# When GENERATE_DOCSET tag is set to YES, this tag specifies a string that -# should uniquely identify the documentation set bundle. This should be a -# reverse domain-name style string, e.g. com.mycompany.MyDocSet. Doxygen -# will append .docset to the name. - -DOCSET_BUNDLE_ID = org.doxygen.Project - -# When GENERATE_PUBLISHER_ID tag specifies a string that should uniquely -# identify the documentation publisher. This should be a reverse domain-name -# style string, e.g. com.mycompany.MyDocSet.documentation. - -DOCSET_PUBLISHER_ID = org.doxygen.Publisher - -# The GENERATE_PUBLISHER_NAME tag identifies the documentation publisher. - -DOCSET_PUBLISHER_NAME = Publisher - -# If the GENERATE_HTMLHELP tag is set to YES, additional index files -# will be generated that can be used as input for tools like the -# Microsoft HTML help workshop to generate a compiled HTML help file (.chm) -# of the generated HTML documentation. - -GENERATE_HTMLHELP = NO - -# If the GENERATE_HTMLHELP tag is set to YES, the CHM_FILE tag can -# be used to specify the file name of the resulting .chm file. You -# can add a path in front of the file if the result should not be -# written to the html output directory. - -CHM_FILE = - -# If the GENERATE_HTMLHELP tag is set to YES, the HHC_LOCATION tag can -# be used to specify the location (absolute path including file name) of -# the HTML help compiler (hhc.exe). If non-empty doxygen will try to run -# the HTML help compiler on the generated index.hhp. - -HHC_LOCATION = - -# If the GENERATE_HTMLHELP tag is set to YES, the GENERATE_CHI flag -# controls if a separate .chi index file is generated (YES) or that -# it should be included in the master .chm file (NO). - -GENERATE_CHI = NO - -# If the GENERATE_HTMLHELP tag is set to YES, the CHM_INDEX_ENCODING -# is used to encode HtmlHelp index (hhk), content (hhc) and project file -# content. - -CHM_INDEX_ENCODING = - -# If the GENERATE_HTMLHELP tag is set to YES, the BINARY_TOC flag -# controls whether a binary table of contents is generated (YES) or a -# normal table of contents (NO) in the .chm file. - -BINARY_TOC = NO - -# The TOC_EXPAND flag can be set to YES to add extra items for group members -# to the contents of the HTML help documentation and to the tree view. - -TOC_EXPAND = NO - -# If the GENERATE_QHP tag is set to YES and both QHP_NAMESPACE and -# QHP_VIRTUAL_FOLDER are set, an additional index file will be generated -# that can be used as input for Qt's qhelpgenerator to generate a -# Qt Compressed Help (.qch) of the generated HTML documentation. - -GENERATE_QHP = NO - -# If the QHG_LOCATION tag is specified, the QCH_FILE tag can -# be used to specify the file name of the resulting .qch file. -# The path specified is relative to the HTML output folder. - -QCH_FILE = - -# The QHP_NAMESPACE tag specifies the namespace to use when generating -# Qt Help Project output. For more information please see -# http://doc.trolltech.com/qthelpproject.html#namespace - -QHP_NAMESPACE = org.doxygen.Project - -# The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating -# Qt Help Project output. For more information please see -# http://doc.trolltech.com/qthelpproject.html#virtual-folders - -QHP_VIRTUAL_FOLDER = doc - -# If QHP_CUST_FILTER_NAME is set, it specifies the name of a custom filter to -# add. For more information please see -# http://doc.trolltech.com/qthelpproject.html#custom-filters - -QHP_CUST_FILTER_NAME = - -# The QHP_CUST_FILT_ATTRS tag specifies the list of the attributes of the -# custom filter to add. For more information please see -# -# Qt Help Project / Custom Filters. - -QHP_CUST_FILTER_ATTRS = - -# The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this -# project's -# filter section matches. -# -# Qt Help Project / Filter Attributes. - -QHP_SECT_FILTER_ATTRS = - -# If the GENERATE_QHP tag is set to YES, the QHG_LOCATION tag can -# be used to specify the location of Qt's qhelpgenerator. -# If non-empty doxygen will try to run qhelpgenerator on the generated -# .qhp file. - -QHG_LOCATION = - -# If the GENERATE_ECLIPSEHELP tag is set to YES, additional index files -# will be generated, which together with the HTML files, form an Eclipse help -# plugin. To install this plugin and make it available under the help contents -# menu in Eclipse, the contents of the directory containing the HTML and XML -# files needs to be copied into the plugins directory of eclipse. The name of -# the directory within the plugins directory should be the same as -# the ECLIPSE_DOC_ID value. After copying Eclipse needs to be restarted before -# the help appears. - -GENERATE_ECLIPSEHELP = NO - -# A unique identifier for the eclipse help plugin. When installing the plugin -# the directory name containing the HTML and XML files should also have -# this name. - -ECLIPSE_DOC_ID = org.doxygen.Project - -# The DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) -# at top of each HTML page. The value NO (the default) enables the index and -# the value YES disables it. Since the tabs have the same information as the -# navigation tree you can set this option to NO if you already set -# GENERATE_TREEVIEW to YES. - -DISABLE_INDEX = NO - -# The GENERATE_TREEVIEW tag is used to specify whether a tree-like index -# structure should be generated to display hierarchical information. -# If the tag value is set to YES, a side panel will be generated -# containing a tree-like index structure (just like the one that -# is generated for HTML Help). For this to work a browser that supports -# JavaScript, DHTML, CSS and frames is required (i.e. any modern browser). -# Windows users are probably better off using the HTML help feature. -# Since the tree basically has the same information as the tab index you -# could consider to set DISABLE_INDEX to NO when enabling this option. - -GENERATE_TREEVIEW = NO - -# The ENUM_VALUES_PER_LINE tag can be used to set the number of enum values -# (range [0,1..20]) that doxygen will group on one line in the generated HTML -# documentation. Note that a value of 0 will completely suppress the enum -# values from appearing in the overview section. - -ENUM_VALUES_PER_LINE = 4 - -# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be -# used to set the initial width (in pixels) of the frame in which the tree -# is shown. - -TREEVIEW_WIDTH = 250 - -# When the EXT_LINKS_IN_WINDOW option is set to YES doxygen will open -# links to external symbols imported via tag files in a separate window. - -EXT_LINKS_IN_WINDOW = NO - -# Use this tag to change the font size of Latex formulas included -# as images in the HTML documentation. The default is 10. Note that -# when you change the font size after a successful doxygen run you need -# to manually remove any form_*.png images from the HTML output directory -# to force them to be regenerated. - -FORMULA_FONTSIZE = 10 - -# Use the FORMULA_TRANPARENT tag to determine whether or not the images -# generated for formulas are transparent PNGs. Transparent PNGs are -# not supported properly for IE 6.0, but are supported on all modern browsers. -# Note that when changing this option you need to delete any form_*.png files -# in the HTML output before the changes have effect. - -FORMULA_TRANSPARENT = YES - -# Enable the USE_MATHJAX option to render LaTeX formulas using MathJax -# (see http://www.mathjax.org) which uses client side Javascript for the -# rendering instead of using prerendered bitmaps. Use this if you do not -# have LaTeX installed or if you want to formulas look prettier in the HTML -# output. When enabled you may also need to install MathJax separately and -# configure the path to it using the MATHJAX_RELPATH option. - -USE_MATHJAX = NO - -# When MathJax is enabled you need to specify the location relative to the -# HTML output directory using the MATHJAX_RELPATH option. The destination -# directory should contain the MathJax.js script. For instance, if the mathjax -# directory is located at the same level as the HTML output directory, then -# MATHJAX_RELPATH should be ../mathjax. The default value points to -# the MathJax Content Delivery Network so you can quickly see the result without -# installing MathJax. -# However, it is strongly recommended to install a local -# copy of MathJax from http://www.mathjax.org before deployment. - -MATHJAX_RELPATH = https://geographiclib.sourceforge.io/MathJax-2.7.2 - -# The MATHJAX_EXTENSIONS tag can be used to specify one or MathJax extension -# names that should be enabled during MathJax rendering. - -MATHJAX_EXTENSIONS = - -# When the SEARCHENGINE tag is enabled doxygen will generate a search box -# for the HTML output. The underlying search engine uses javascript -# and DHTML and should work on any modern browser. Note that when using -# HTML help (GENERATE_HTMLHELP), Qt help (GENERATE_QHP), or docsets -# (GENERATE_DOCSET) there is already a search function so this one should -# typically be disabled. For large projects the javascript based search engine -# can be slow, then enabling SERVER_BASED_SEARCH may provide a better solution. - -SEARCHENGINE = YES - -# When the SERVER_BASED_SEARCH tag is enabled the search engine will be -# implemented using a PHP enabled web server instead of at the web client -# using Javascript. Doxygen will generate the search PHP script and index -# file to put on the web server. The advantage of the server -# based approach is that it scales better to large projects and allows -# full text search. The disadvantages are that it is more difficult to setup -# and does not have live searching capabilities. - -SERVER_BASED_SEARCH = NO - -#--------------------------------------------------------------------------- -# configuration options related to the LaTeX output -#--------------------------------------------------------------------------- - -# If the GENERATE_LATEX tag is set to YES (the default) Doxygen will -# generate Latex output. - -GENERATE_LATEX = NO - -# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `latex' will be used as the default path. - -LATEX_OUTPUT = latex - -# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be -# invoked. If left blank `latex' will be used as the default command name. -# Note that when enabling USE_PDFLATEX this option is only used for -# generating bitmaps for formulas in the HTML output, but not in the -# Makefile that is written to the output directory. - -LATEX_CMD_NAME = latex - -# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to -# generate index for LaTeX. If left blank `makeindex' will be used as the -# default command name. - -MAKEINDEX_CMD_NAME = makeindex - -# If the COMPACT_LATEX tag is set to YES Doxygen generates more compact -# LaTeX documents. This may be useful for small projects and may help to -# save some trees in general. - -COMPACT_LATEX = NO - -# The PAPER_TYPE tag can be used to set the paper type that is used -# by the printer. Possible values are: a4, letter, legal and -# executive. If left blank a4wide will be used. - -PAPER_TYPE = a4wide - -# The EXTRA_PACKAGES tag can be to specify one or more names of LaTeX -# packages that should be included in the LaTeX output. - -EXTRA_PACKAGES = - -# The LATEX_HEADER tag can be used to specify a personal LaTeX header for -# the generated latex document. The header should contain everything until -# the first chapter. If it is left blank doxygen will generate a -# standard header. Notice: only use this tag if you know what you are doing! - -LATEX_HEADER = - -# The LATEX_FOOTER tag can be used to specify a personal LaTeX footer for -# the generated latex document. The footer should contain everything after -# the last chapter. If it is left blank doxygen will generate a -# standard footer. Notice: only use this tag if you know what you are doing! - -LATEX_FOOTER = - -# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated -# is prepared for conversion to pdf (using ps2pdf). The pdf file will -# contain links (just like the HTML output) instead of page references -# This makes the output suitable for online browsing using a pdf viewer. - -PDF_HYPERLINKS = NO - -# If the USE_PDFLATEX tag is set to YES, pdflatex will be used instead of -# plain latex in the generated Makefile. Set this option to YES to get a -# higher quality PDF documentation. - -USE_PDFLATEX = NO - -# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \\batchmode. -# command to the generated LaTeX files. This will instruct LaTeX to keep -# running if errors occur, instead of asking the user for help. -# This option is also used when generating formulas in HTML. - -LATEX_BATCHMODE = NO - -# If LATEX_HIDE_INDICES is set to YES then doxygen will not -# include the index chapters (such as File Index, Compound Index, etc.) -# in the output. - -LATEX_HIDE_INDICES = NO - -# If LATEX_SOURCE_CODE is set to YES then doxygen will include -# source code with syntax highlighting in the LaTeX output. -# Note that which sources are shown also depends on other settings -# such as SOURCE_BROWSER. - -LATEX_SOURCE_CODE = NO - -# The LATEX_BIB_STYLE tag can be used to specify the style to use for the -# bibliography, e.g. plainnat, or ieeetr. The default style is "plain". See -# http://en.wikipedia.org/wiki/BibTeX for more info. - -LATEX_BIB_STYLE = plain - -#--------------------------------------------------------------------------- -# configuration options related to the RTF output -#--------------------------------------------------------------------------- - -# If the GENERATE_RTF tag is set to YES Doxygen will generate RTF output -# The RTF output is optimized for Word 97 and may not look very pretty with -# other RTF readers or editors. - -GENERATE_RTF = NO - -# The RTF_OUTPUT tag is used to specify where the RTF docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `rtf' will be used as the default path. - -RTF_OUTPUT = rtf - -# If the COMPACT_RTF tag is set to YES Doxygen generates more compact -# RTF documents. This may be useful for small projects and may help to -# save some trees in general. - -COMPACT_RTF = NO - -# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated -# will contain hyperlink fields. The RTF file will -# contain links (just like the HTML output) instead of page references. -# This makes the output suitable for online browsing using WORD or other -# programs which support those fields. -# Note: wordpad (write) and others do not support links. - -RTF_HYPERLINKS = NO - -# Load style sheet definitions from file. Syntax is similar to doxygen's -# config file, i.e. a series of assignments. You only have to provide -# replacements, missing definitions are set to their default value. - -RTF_STYLESHEET_FILE = - -# Set optional variables used in the generation of an rtf document. -# Syntax is similar to doxygen's config file. - -RTF_EXTENSIONS_FILE = - -#--------------------------------------------------------------------------- -# configuration options related to the man page output -#--------------------------------------------------------------------------- - -# If the GENERATE_MAN tag is set to YES (the default) Doxygen will -# generate man pages - -GENERATE_MAN = NO - -# The MAN_OUTPUT tag is used to specify where the man pages will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `man' will be used as the default path. - -MAN_OUTPUT = man - -# The MAN_EXTENSION tag determines the extension that is added to -# the generated man pages (default is the subroutine's section .3) - -MAN_EXTENSION = .3 - -# If the MAN_LINKS tag is set to YES and Doxygen generates man output, -# then it will generate one additional man file for each entity -# documented in the real man page(s). These additional files -# only source the real man page, but without them the man command -# would be unable to find the correct page. The default is NO. - -MAN_LINKS = NO - -#--------------------------------------------------------------------------- -# configuration options related to the XML output -#--------------------------------------------------------------------------- - -# If the GENERATE_XML tag is set to YES Doxygen will -# generate an XML file that captures the structure of -# the code including all documentation. - -GENERATE_XML = NO - -# The XML_OUTPUT tag is used to specify where the XML pages will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `xml' will be used as the default path. - -XML_OUTPUT = xml - -# If the XML_PROGRAMLISTING tag is set to YES Doxygen will -# dump the program listings (including syntax highlighting -# and cross-referencing information) to the XML output. Note that -# enabling this will significantly increase the size of the XML output. - -XML_PROGRAMLISTING = YES - -#--------------------------------------------------------------------------- -# configuration options for the AutoGen Definitions output -#--------------------------------------------------------------------------- - -# If the GENERATE_AUTOGEN_DEF tag is set to YES Doxygen will -# generate an AutoGen Definitions (see autogen.sf.net) file -# that captures the structure of the code including all -# documentation. Note that this feature is still experimental -# and incomplete at the moment. - -GENERATE_AUTOGEN_DEF = NO - -#--------------------------------------------------------------------------- -# configuration options related to the Perl module output -#--------------------------------------------------------------------------- - -# If the GENERATE_PERLMOD tag is set to YES Doxygen will -# generate a Perl module file that captures the structure of -# the code including all documentation. Note that this -# feature is still experimental and incomplete at the -# moment. - -GENERATE_PERLMOD = NO - -# If the PERLMOD_LATEX tag is set to YES Doxygen will generate -# the necessary Makefile rules, Perl scripts and LaTeX code to be able -# to generate PDF and DVI output from the Perl module output. - -PERLMOD_LATEX = NO - -# If the PERLMOD_PRETTY tag is set to YES the Perl module output will be -# nicely formatted so it can be parsed by a human reader. -# This is useful -# if you want to understand what is going on. -# On the other hand, if this -# tag is set to NO the size of the Perl module output will be much smaller -# and Perl will parse it just the same. - -PERLMOD_PRETTY = YES - -# The names of the make variables in the generated doxyrules.make file -# are prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX. -# This is useful so different doxyrules.make files included by the same -# Makefile don't overwrite each other's variables. - -PERLMOD_MAKEVAR_PREFIX = - -#--------------------------------------------------------------------------- -# Configuration options related to the preprocessor -#--------------------------------------------------------------------------- - -# If the ENABLE_PREPROCESSING tag is set to YES (the default) Doxygen will -# evaluate all C-preprocessor directives found in the sources and include -# files. - -ENABLE_PREPROCESSING = YES - -# If the MACRO_EXPANSION tag is set to YES Doxygen will expand all macro -# names in the source code. If set to NO (the default) only conditional -# compilation will be performed. Macro expansion can be done in a controlled -# way by setting EXPAND_ONLY_PREDEF to YES. - -MACRO_EXPANSION = NO - -# If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES -# then the macro expansion is limited to the macros specified with the -# PREDEFINED and EXPAND_AS_DEFINED tags. - -EXPAND_ONLY_PREDEF = NO - -# If the SEARCH_INCLUDES tag is set to YES (the default) the includes files -# pointed to by INCLUDE_PATH will be searched when a #include is found. - -SEARCH_INCLUDES = YES - -# The INCLUDE_PATH tag can be used to specify one or more directories that -# contain include files that are not input files but should be processed by -# the preprocessor. - -INCLUDE_PATH = - -# You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard -# patterns (like *.h and *.hpp) to filter out the header-files in the -# directories. If left blank, the patterns specified with FILE_PATTERNS will -# be used. - -INCLUDE_FILE_PATTERNS = - -# The PREDEFINED tag can be used to specify one or more macro names that -# are defined before the preprocessor is started (similar to the -D option of -# gcc). The argument of the tag is a list of macros of the form: name -# or name=definition (no spaces). If the definition and the = are -# omitted =1 is assumed. To prevent a macro definition from being -# undefined via #undef or recursively expanded use the := operator -# instead of the = operator. - -PREDEFINED = DOXYGEN - -# If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then -# this tag can be used to specify a list of macro names that should be expanded. -# The macro definition that is found in the sources will be used. -# Use the PREDEFINED tag if you want to use a different macro definition that -# overrules the definition found in the source code. - -EXPAND_AS_DEFINED = - -# If the SKIP_FUNCTION_MACROS tag is set to YES (the default) then -# doxygen's preprocessor will remove all references to function-like macros -# that are alone on a line, have an all uppercase name, and do not end with a -# semicolon, because these will confuse the parser if not removed. - -SKIP_FUNCTION_MACROS = YES - -#--------------------------------------------------------------------------- -# Configuration::additions related to external references -#--------------------------------------------------------------------------- - -# The TAGFILES option can be used to specify one or more tagfiles. For each -# tag file the location of the external documentation should be added. The -# format of a tag file without this location is as follows: -# -# TAGFILES = file1 file2 ... -# Adding location for the tag files is done as follows: -# -# TAGFILES = file1=loc1 "file2 = loc2" ... -# where "loc1" and "loc2" can be relative or absolute paths -# or URLs. Note that each tag file must have a unique name (where the name does -# NOT include the path). If a tag file is not located in the directory in which -# doxygen is run, you must also specify the path to the tagfile here. - -TAGFILES = html/GeographicLib.tag=.. - -# When a file name is specified after GENERATE_TAGFILE, doxygen will create -# a tag file that is based on the input files it reads. - -GENERATE_TAGFILE = html/C/GeographicLib-C.tag - -# If the ALLEXTERNALS tag is set to YES all external classes will be listed -# in the class index. If set to NO only the inherited external classes -# will be listed. - -ALLEXTERNALS = NO - -# If the EXTERNAL_GROUPS tag is set to YES all external groups will be listed -# in the modules index. If set to NO, only the current project's groups will -# be listed. - -EXTERNAL_GROUPS = YES - -# The PERL_PATH should be the absolute path and name of the perl script -# interpreter (i.e. the result of `which perl'). - -PERL_PATH = /usr/bin/perl - -#--------------------------------------------------------------------------- -# Configuration options related to the dot tool -#--------------------------------------------------------------------------- - -# If the CLASS_DIAGRAMS tag is set to YES (the default) Doxygen will -# generate a inheritance diagram (in HTML, RTF and LaTeX) for classes with base -# or super classes. Setting the tag to NO turns the diagrams off. Note that -# this option also works with HAVE_DOT disabled, but it is recommended to -# install and use dot, since it yields more powerful graphs. - -CLASS_DIAGRAMS = YES - -# You can define message sequence charts within doxygen comments using the \msc -# command. Doxygen will then run the mscgen tool (see -# http://www.mcternan.me.uk/mscgen/) to produce the chart and insert it in the -# documentation. The MSCGEN_PATH tag allows you to specify the directory where -# the mscgen tool resides. If left empty the tool is assumed to be found in the -# default search path. - -MSCGEN_PATH = - -# If set to YES, the inheritance and collaboration graphs will hide -# inheritance and usage relations if the target is undocumented -# or is not a class. - -HIDE_UNDOC_RELATIONS = YES - -# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is -# available from the path. This tool is part of Graphviz, a graph visualization -# toolkit from AT&T and Lucent Bell Labs. The other options in this section -# have no effect if this option is set to NO (the default) - -HAVE_DOT = NO - -# The DOT_NUM_THREADS specifies the number of dot invocations doxygen is -# allowed to run in parallel. When set to 0 (the default) doxygen will -# base this on the number of processors available in the system. You can set it -# explicitly to a value larger than 0 to get control over the balance -# between CPU load and processing speed. - -DOT_NUM_THREADS = 0 - -# By default doxygen will use the Helvetica font for all dot files that -# doxygen generates. When you want a differently looking font you can specify -# the font name using DOT_FONTNAME. You need to make sure dot is able to find -# the font, which can be done by putting it in a standard location or by setting -# the DOTFONTPATH environment variable or by setting DOT_FONTPATH to the -# directory containing the font. - -DOT_FONTNAME = Helvetica - -# The DOT_FONTSIZE tag can be used to set the size of the font of dot graphs. -# The default size is 10pt. - -DOT_FONTSIZE = 10 - -# By default doxygen will tell dot to use the Helvetica font. -# If you specify a different font using DOT_FONTNAME you can use DOT_FONTPATH to -# set the path where dot can find it. - -DOT_FONTPATH = - -# If the CLASS_GRAPH and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for each documented class showing the direct and -# indirect inheritance relations. Setting this tag to YES will force the -# CLASS_DIAGRAMS tag to NO. - -CLASS_GRAPH = YES - -# If the COLLABORATION_GRAPH and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for each documented class showing the direct and -# indirect implementation dependencies (inheritance, containment, and -# class references variables) of the class with other documented classes. - -COLLABORATION_GRAPH = YES - -# If the GROUP_GRAPHS and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for groups, showing the direct groups dependencies - -GROUP_GRAPHS = YES - -# If the UML_LOOK tag is set to YES doxygen will generate inheritance and -# collaboration diagrams in a style similar to the OMG's Unified Modeling -# Language. - -UML_LOOK = NO - -# If the UML_LOOK tag is enabled, the fields and methods are shown inside -# the class node. If there are many fields or methods and many nodes the -# graph may become too big to be useful. The UML_LIMIT_NUM_FIELDS -# threshold limits the number of items for each type to make the size more -# managable. Set this to 0 for no limit. Note that the threshold may be -# exceeded by 50% before the limit is enforced. - -UML_LIMIT_NUM_FIELDS = 10 - -# If set to YES, the inheritance and collaboration graphs will show the -# relations between templates and their instances. - -TEMPLATE_RELATIONS = NO - -# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDE_GRAPH, and HAVE_DOT -# tags are set to YES then doxygen will generate a graph for each documented -# file showing the direct and indirect include dependencies of the file with -# other documented files. - -INCLUDE_GRAPH = YES - -# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDED_BY_GRAPH, and -# HAVE_DOT tags are set to YES then doxygen will generate a graph for each -# documented header file showing the documented files that directly or -# indirectly include this file. - -INCLUDED_BY_GRAPH = YES - -# If the CALL_GRAPH and HAVE_DOT options are set to YES then -# doxygen will generate a call dependency graph for every global function -# or class method. Note that enabling this option will significantly increase -# the time of a run. So in most cases it will be better to enable call graphs -# for selected functions only using the \callgraph command. - -CALL_GRAPH = NO - -# If the CALLER_GRAPH and HAVE_DOT tags are set to YES then -# doxygen will generate a caller dependency graph for every global function -# or class method. Note that enabling this option will significantly increase -# the time of a run. So in most cases it will be better to enable caller -# graphs for selected functions only using the \callergraph command. - -CALLER_GRAPH = NO - -# If the GRAPHICAL_HIERARCHY and HAVE_DOT tags are set to YES then doxygen -# will generate a graphical hierarchy of all classes instead of a textual one. - -GRAPHICAL_HIERARCHY = YES - -# If the DIRECTORY_GRAPH and HAVE_DOT tags are set to YES -# then doxygen will show the dependencies a directory has on other directories -# in a graphical way. The dependency relations are determined by the #include -# relations between the files in the directories. - -DIRECTORY_GRAPH = YES - -# The DOT_IMAGE_FORMAT tag can be used to set the image format of the images -# generated by dot. Possible values are svg, png, jpg, or gif. -# If left blank png will be used. If you choose svg you need to set -# HTML_FILE_EXTENSION to xhtml in order to make the SVG files -# visible in IE 9+ (other browsers do not have this requirement). - -DOT_IMAGE_FORMAT = png - -# If DOT_IMAGE_FORMAT is set to svg, then this option can be set to YES to -# enable generation of interactive SVG images that allow zooming and panning. -# Note that this requires a modern browser other than Internet Explorer. -# Tested and working are Firefox, Chrome, Safari, and Opera. For IE 9+ you -# need to set HTML_FILE_EXTENSION to xhtml in order to make the SVG files -# visible. Older versions of IE do not have SVG support. - -INTERACTIVE_SVG = NO - -# The tag DOT_PATH can be used to specify the path where the dot tool can be -# found. If left blank, it is assumed the dot tool can be found in the path. - -DOT_PATH = - -# The DOTFILE_DIRS tag can be used to specify one or more directories that -# contain dot files that are included in the documentation (see the -# \dotfile command). - -DOTFILE_DIRS = - -# The MSCFILE_DIRS tag can be used to specify one or more directories that -# contain msc files that are included in the documentation (see the -# \mscfile command). - -MSCFILE_DIRS = - -# The DOT_GRAPH_MAX_NODES tag can be used to set the maximum number of -# nodes that will be shown in the graph. If the number of nodes in a graph -# becomes larger than this value, doxygen will truncate the graph, which is -# visualized by representing a node as a red box. Note that doxygen if the -# number of direct children of the root node in a graph is already larger than -# DOT_GRAPH_MAX_NODES then the graph will not be shown at all. Also note -# that the size of a graph can be further restricted by MAX_DOT_GRAPH_DEPTH. - -DOT_GRAPH_MAX_NODES = 50 - -# The MAX_DOT_GRAPH_DEPTH tag can be used to set the maximum depth of the -# graphs generated by dot. A depth value of 3 means that only nodes reachable -# from the root by following a path via at most 3 edges will be shown. Nodes -# that lay further from the root node will be omitted. Note that setting this -# option to 1 or 2 may greatly reduce the computation time needed for large -# code bases. Also note that the size of a graph can be further restricted by -# DOT_GRAPH_MAX_NODES. Using a depth of 0 means no depth restriction. - -MAX_DOT_GRAPH_DEPTH = 0 - -# Set the DOT_TRANSPARENT tag to YES to generate images with a transparent -# background. This is disabled by default, because dot on Windows does not -# seem to support this out of the box. Warning: Depending on the platform used, -# enabling this option may lead to badly anti-aliased labels on the edges of -# a graph (i.e. they become hard to read). - -DOT_TRANSPARENT = NO - -# Set the DOT_MULTI_TARGETS tag to YES allow dot to generate multiple output -# files in one run (i.e. multiple -o and -T options on the command line). This -# makes dot run faster, but since only newer versions of dot (>1.8.10) -# support this, this feature is disabled by default. - -DOT_MULTI_TARGETS = NO - -# If the GENERATE_LEGEND tag is set to YES (the default) Doxygen will -# generate a legend page explaining the meaning of the various boxes and -# arrows in the dot generated graphs. - -GENERATE_LEGEND = YES - -# If the DOT_CLEANUP tag is set to YES (the default) Doxygen will -# remove the intermediate dot files that are used to generate -# the various graphs. - -DOT_CLEANUP = YES diff --git a/libs/GeographicLib-1.50.1/doc/doxyfile-for.in b/libs/GeographicLib-1.50.1/doc/doxyfile-for.in deleted file mode 100644 index 7b7a54e7f2235b5a4939e76064e32eefa102ca62..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/doxyfile-for.in +++ /dev/null @@ -1,1783 +0,0 @@ -# Doxyfile 1.8.2 - -# This file describes the settings to be used by the documentation system -# doxygen (www.doxygen.org) for a project. -# -# All text after a hash (#) is considered a comment and will be ignored. -# The format is: -# TAG = value [value, ...] -# For lists items can also be appended using: -# TAG += value [value, ...] -# Values that contain spaces should be placed between quotes (" "). - -#--------------------------------------------------------------------------- -# Project related configuration options -#--------------------------------------------------------------------------- - -# This tag specifies the encoding used for all characters in the config file -# that follow. The default is UTF-8 which is also the encoding used for all -# text before the first occurrence of this tag. Doxygen uses libiconv (or the -# iconv built into libc) for the transcoding. See -# http://www.gnu.org/software/libiconv for the list of possible encodings. - -DOXYFILE_ENCODING = UTF-8 - -# The PROJECT_NAME tag is a single word (or sequence of words) that should -# identify the project. Note that if you do not use Doxywizard you need -# to put quotes around the project name if it contains spaces. - -PROJECT_NAME = "Fortran library for Geodesics" - -# The PROJECT_NUMBER tag can be used to enter a project or revision number. -# This could be handy for archiving the generated documentation or -# if some version control system is used. - -PROJECT_NUMBER = @PROJECT_VERSION@ - -# Using the PROJECT_BRIEF tag one can provide an optional one line description -# for a project that appears at the top of each page and should give viewer -# a quick idea about the purpose of the project. Keep the description short. - -PROJECT_BRIEF = - -# With the PROJECT_LOGO tag one can specify an logo or icon that is -# included in the documentation. The maximum height of the logo should not -# exceed 55 pixels and the maximum width should not exceed 200 pixels. -# Doxygen will copy the logo to the output directory. - -PROJECT_LOGO = - -# The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) -# base path where the generated documentation will be put. -# If a relative path is entered, it will be relative to the location -# where doxygen was started. If left blank the current directory will be used. - -OUTPUT_DIRECTORY = - -# If the CREATE_SUBDIRS tag is set to YES, then doxygen will create -# 4096 sub-directories (in 2 levels) under the output directory of each output -# format and will distribute the generated files over these directories. -# Enabling this option can be useful when feeding doxygen a huge amount of -# source files, where putting all generated files in the same directory would -# otherwise cause performance problems for the file system. - -CREATE_SUBDIRS = NO - -# The OUTPUT_LANGUAGE tag is used to specify the language in which all -# documentation generated by doxygen is written. Doxygen will use this -# information to generate all constant output in the proper language. -# The default language is English, other supported languages are: -# Afrikaans, Arabic, Brazilian, Catalan, Chinese, Chinese-Traditional, -# Croatian, Czech, Danish, Dutch, Esperanto, Farsi, Finnish, French, German, -# Greek, Hungarian, Italian, Japanese, Japanese-en (Japanese with English -# messages), Korean, Korean-en, Lithuanian, Norwegian, Macedonian, Persian, -# Polish, Portuguese, Romanian, Russian, Serbian, Serbian-Cyrillic, Slovak, -# Slovene, Spanish, Swedish, Ukrainian, and Vietnamese. - -OUTPUT_LANGUAGE = English - -# If the BRIEF_MEMBER_DESC tag is set to YES (the default) Doxygen will -# include brief member descriptions after the members that are listed in -# the file and class documentation (similar to JavaDoc). -# Set to NO to disable this. - -BRIEF_MEMBER_DESC = YES - -# If the REPEAT_BRIEF tag is set to YES (the default) Doxygen will prepend -# the brief description of a member or function before the detailed description. -# Note: if both HIDE_UNDOC_MEMBERS and BRIEF_MEMBER_DESC are set to NO, the -# brief descriptions will be completely suppressed. - -REPEAT_BRIEF = YES - -# This tag implements a quasi-intelligent brief description abbreviator -# that is used to form the text in various listings. Each string -# in this list, if found as the leading text of the brief description, will be -# stripped from the text and the result after processing the whole list, is -# used as the annotated text. Otherwise, the brief description is used as-is. -# If left blank, the following values are used ("$name" is automatically -# replaced with the name of the entity): "The $name class" "The $name widget" -# "The $name file" "is" "provides" "specifies" "contains" -# "represents" "a" "an" "the" - -ABBREVIATE_BRIEF = - -# If the ALWAYS_DETAILED_SEC and REPEAT_BRIEF tags are both set to YES then -# Doxygen will generate a detailed section even if there is only a brief -# description. - -ALWAYS_DETAILED_SEC = NO - -# If the INLINE_INHERITED_MEMB tag is set to YES, doxygen will show all -# inherited members of a class in the documentation of that class as if those -# members were ordinary class members. Constructors, destructors and assignment -# operators of the base classes will not be shown. - -INLINE_INHERITED_MEMB = NO - -# If the FULL_PATH_NAMES tag is set to YES then Doxygen will prepend the full -# path before files name in the file list and in the header files. If set -# to NO the shortest path that makes the file name unique will be used. - -FULL_PATH_NAMES = NO - -# If the FULL_PATH_NAMES tag is set to YES then the STRIP_FROM_PATH tag -# can be used to strip a user-defined part of the path. Stripping is -# only done if one of the specified strings matches the left-hand part of -# the path. The tag can be used to show relative paths in the file list. -# If left blank the directory from which doxygen is run is used as the -# path to strip. Note that you specify absolute paths here, but also -# relative paths, which will be relative from the directory where doxygen is -# started. - -STRIP_FROM_PATH = @PROJECT_SOURCE_DIR@/legacy/Fortran/ - -# The STRIP_FROM_INC_PATH tag can be used to strip a user-defined part of -# the path mentioned in the documentation of a class, which tells -# the reader which header file to include in order to use a class. -# If left blank only the name of the header file containing the class -# definition is used. Otherwise one should specify the include paths that -# are normally passed to the compiler using the -I flag. - -STRIP_FROM_INC_PATH = @PROJECT_SOURCE_DIR@/legacy/Fortran/ - -# If the SHORT_NAMES tag is set to YES, doxygen will generate much shorter -# (but less readable) file names. This can be useful if your file system -# doesn't support long names like on DOS, Mac, or CD-ROM. - -SHORT_NAMES = NO - -# If the JAVADOC_AUTOBRIEF tag is set to YES then Doxygen -# will interpret the first line (until the first dot) of a JavaDoc-style -# comment as the brief description. If set to NO, the JavaDoc -# comments will behave just like regular Qt-style comments -# (thus requiring an explicit @brief command for a brief description.) - -JAVADOC_AUTOBRIEF = NO - -# If the QT_AUTOBRIEF tag is set to YES then Doxygen will -# interpret the first line (until the first dot) of a Qt-style -# comment as the brief description. If set to NO, the comments -# will behave just like regular Qt-style comments (thus requiring -# an explicit \brief command for a brief description.) - -QT_AUTOBRIEF = NO - -# The MULTILINE_CPP_IS_BRIEF tag can be set to YES to make Doxygen -# treat a multi-line C++ special comment block (i.e. a block of //! or /// -# comments) as a brief description. This used to be the default behaviour. -# The new default is to treat a multi-line C++ comment block as a detailed -# description. Set this tag to YES if you prefer the old behaviour instead. - -MULTILINE_CPP_IS_BRIEF = NO - -# If the INHERIT_DOCS tag is set to YES (the default) then an undocumented -# member inherits the documentation from any documented member that it -# re-implements. - -INHERIT_DOCS = YES - -# If the SEPARATE_MEMBER_PAGES tag is set to YES, then doxygen will produce -# a new page for each member. If set to NO, the documentation of a member will -# be part of the file/class/namespace that contains it. - -SEPARATE_MEMBER_PAGES = NO - -# The TAB_SIZE tag can be used to set the number of spaces in a tab. -# Doxygen uses this value to replace tabs by spaces in code fragments. - -TAB_SIZE = 8 - -# This tag can be used to specify a number of aliases that acts -# as commands in the documentation. An alias has the form "name=value". -# For example adding "sideeffect=\par Side Effects:\n" will allow you to -# put the command \sideeffect (or @sideeffect) in the documentation, which -# will result in a user-defined paragraph with heading "Side Effects:". -# You can put \n's in the value part of an alias to insert newlines. - -ALIASES = - -# This tag can be used to specify a number of word-keyword mappings (TCL only). -# A mapping has the form "name=value". For example adding -# "class=itcl::class" will allow you to use the command class in the -# itcl::class meaning. - -TCL_SUBST = - -# Set the OPTIMIZE_OUTPUT_FOR_C tag to YES if your project consists of C -# sources only. Doxygen will then generate output that is more tailored for C. -# For instance, some of the names that are used will be different. The list -# of all members will be omitted, etc. - -OPTIMIZE_OUTPUT_FOR_C = NO - -# Set the OPTIMIZE_OUTPUT_JAVA tag to YES if your project consists of Java -# sources only. Doxygen will then generate output that is more tailored for -# Java. For instance, namespaces will be presented as packages, qualified -# scopes will look different, etc. - -OPTIMIZE_OUTPUT_JAVA = NO - -# Set the OPTIMIZE_FOR_FORTRAN tag to YES if your project consists of Fortran -# sources only. Doxygen will then generate output that is more tailored for -# Fortran. - -OPTIMIZE_FOR_FORTRAN = YES - -# Set the OPTIMIZE_OUTPUT_VHDL tag to YES if your project consists of VHDL -# sources. Doxygen will then generate output that is tailored for -# VHDL. - -OPTIMIZE_OUTPUT_VHDL = NO - -# Doxygen selects the parser to use depending on the extension of the files it -# parses. With this tag you can assign which parser to use for a given -# extension. Doxygen has a built-in mapping, but you can override or extend it -# using this tag. The format is ext=language, where ext is a file extension, -# and language is one of the parsers supported by doxygen: IDL, Java, -# Javascript, CSharp, C, C++, D, PHP, Objective-C, Python, Fortran, VHDL, C, -# C++. For instance to make doxygen treat .inc files as Fortran files (default -# is PHP), and .f files as C (default is Fortran), use: inc=Fortran f=C. Note -# that for custom extensions you also need to set FILE_PATTERNS otherwise the -# files are not read by doxygen. - -EXTENSION_MAPPING = inc=Fortran - -# If MARKDOWN_SUPPORT is enabled (the default) then doxygen pre-processes all -# comments according to the Markdown format, which allows for more readable -# documentation. See http://daringfireball.net/projects/markdown/ for details. -# The output of markdown processing is further processed by doxygen, so you -# can mix doxygen, HTML, and XML commands with Markdown formatting. -# Disable only in case of backward compatibilities issues. - -MARKDOWN_SUPPORT = YES - -# When enabled doxygen tries to link words that correspond to documented classes, -# or namespaces to their corresponding documentation. Such a link can be -# prevented in individual cases by by putting a % sign in front of the word or -# globally by setting AUTOLINK_SUPPORT to NO. - -AUTOLINK_SUPPORT = YES - -# If you use STL classes (i.e. std::string, std::vector, etc.) but do not want -# to include (a tag file for) the STL sources as input, then you should -# set this tag to YES in order to let doxygen match functions declarations and -# definitions whose arguments contain STL classes (e.g. func(std::string); v.s. -# func(std::string) {}). This also makes the inheritance and collaboration -# diagrams that involve STL classes more complete and accurate. - -BUILTIN_STL_SUPPORT = NO - -# If you use Microsoft's C++/CLI language, you should set this option to YES to -# enable parsing support. - -CPP_CLI_SUPPORT = NO - -# Set the SIP_SUPPORT tag to YES if your project consists of sip sources only. -# Doxygen will parse them like normal C++ but will assume all classes use public -# instead of private inheritance when no explicit protection keyword is present. - -SIP_SUPPORT = NO - -# For Microsoft's IDL there are propget and propput attributes to indicate getter and setter methods for a property. Setting this option to YES (the default) will make doxygen replace the get and set methods by a property in the documentation. This will only work if the methods are indeed getting or setting a simple type. If this is not the case, or you want to show the methods anyway, you should set this option to NO. - -IDL_PROPERTY_SUPPORT = YES - -# If member grouping is used in the documentation and the DISTRIBUTE_GROUP_DOC -# tag is set to YES, then doxygen will reuse the documentation of the first -# member in the group (if any) for the other members of the group. By default -# all members of a group must be documented explicitly. - -DISTRIBUTE_GROUP_DOC = NO - -# Set the SUBGROUPING tag to YES (the default) to allow class member groups of -# the same type (for instance a group of public functions) to be put as a -# subgroup of that type (e.g. under the Public Functions section). Set it to -# NO to prevent subgrouping. Alternatively, this can be done per class using -# the \nosubgrouping command. - -SUBGROUPING = YES - -# When the INLINE_GROUPED_CLASSES tag is set to YES, classes, structs and -# unions are shown inside the group in which they are included (e.g. using -# @ingroup) instead of on a separate page (for HTML and Man pages) or -# section (for LaTeX and RTF). - -INLINE_GROUPED_CLASSES = NO - -# When the INLINE_SIMPLE_STRUCTS tag is set to YES, structs, classes, and -# unions with only public data fields will be shown inline in the documentation -# of the scope in which they are defined (i.e. file, namespace, or group -# documentation), provided this scope is documented. If set to NO (the default), -# structs, classes, and unions are shown on a separate page (for HTML and Man -# pages) or section (for LaTeX and RTF). - -INLINE_SIMPLE_STRUCTS = NO - -# When TYPEDEF_HIDES_STRUCT is enabled, a typedef of a struct, union, or enum -# is documented as struct, union, or enum with the name of the typedef. So -# typedef struct TypeS {} TypeT, will appear in the documentation as a struct -# with name TypeT. When disabled the typedef will appear as a member of a file, -# namespace, or class. And the struct will be named TypeS. This can typically -# be useful for C code in case the coding convention dictates that all compound -# types are typedef'ed and only the typedef is referenced, never the tag name. - -TYPEDEF_HIDES_STRUCT = NO - -# The size of the symbol lookup cache can be set using LOOKUP_CACHE_SIZE. This -# cache is used to resolve symbols given their name and scope. Since this can be -# an expensive process and often the same symbol appears multiple times in the -# code, doxygen keeps a cache of pre-resolved symbols. If the cache is too small -# doxygen will become slower. If the cache is too large, memory is wasted. The -# cache size is given by this formula: 2^(16+LOOKUP_CACHE_SIZE). The valid range -# is 0..9, the default is 0, corresponding to a cache size of 2^16=65536 -# symbols. At the end of a run doxygen will report the cache usage and suggest -# the optimal cache size from a speed point of view. -# Minimum value: 0, maximum value: 9, default value: 0. - -LOOKUP_CACHE_SIZE = 0 - -#--------------------------------------------------------------------------- -# Build related configuration options -#--------------------------------------------------------------------------- - -# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in -# documentation are documented, even if no documentation was available. -# Private class members and static file members will be hidden unless -# the EXTRACT_PRIVATE and EXTRACT_STATIC tags are set to YES - -EXTRACT_ALL = YES - -# If the EXTRACT_PRIVATE tag is set to YES all private members of a class -# will be included in the documentation. - -EXTRACT_PRIVATE = NO - -# If the EXTRACT_PACKAGE tag is set to YES all members with package or internal -# scope will be included in the documentation. - -EXTRACT_PACKAGE = NO - -# If the EXTRACT_STATIC tag is set to YES all static members of a file -# will be included in the documentation. - -EXTRACT_STATIC = YES - -# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs) -# defined locally in source files will be included in the documentation. -# If set to NO only classes defined in header files are included. - -EXTRACT_LOCAL_CLASSES = YES - -# This flag is only useful for Objective-C code. When set to YES local -# methods, which are defined in the implementation section but not in -# the interface are included in the documentation. -# If set to NO (the default) only methods in the interface are included. - -EXTRACT_LOCAL_METHODS = NO - -# If this flag is set to YES, the members of anonymous namespaces will be -# extracted and appear in the documentation as a namespace called -# 'anonymous_namespace{file}', where file will be replaced with the base -# name of the file that contains the anonymous namespace. By default -# anonymous namespaces are hidden. - -EXTRACT_ANON_NSPACES = NO - -# If the HIDE_UNDOC_MEMBERS tag is set to YES, Doxygen will hide all -# undocumented members of documented classes, files or namespaces. -# If set to NO (the default) these members will be included in the -# various overviews, but no documentation section is generated. -# This option has no effect if EXTRACT_ALL is enabled. - -HIDE_UNDOC_MEMBERS = NO - -# If the HIDE_UNDOC_CLASSES tag is set to YES, Doxygen will hide all -# undocumented classes that are normally visible in the class hierarchy. -# If set to NO (the default) these classes will be included in the various -# overviews. This option has no effect if EXTRACT_ALL is enabled. - -HIDE_UNDOC_CLASSES = NO - -# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, Doxygen will hide all -# friend (class|struct|union) declarations. -# If set to NO (the default) these declarations will be included in the -# documentation. - -HIDE_FRIEND_COMPOUNDS = NO - -# If the HIDE_IN_BODY_DOCS tag is set to YES, Doxygen will hide any -# documentation blocks found inside the body of a function. -# If set to NO (the default) these blocks will be appended to the -# function's detailed documentation block. - -HIDE_IN_BODY_DOCS = NO - -# The INTERNAL_DOCS tag determines if documentation -# that is typed after a \internal command is included. If the tag is set -# to NO (the default) then the documentation will be excluded. -# Set it to YES to include the internal documentation. - -INTERNAL_DOCS = NO - -# If the CASE_SENSE_NAMES tag is set to NO then Doxygen will only generate -# file names in lower-case letters. If set to YES upper-case letters are also -# allowed. This is useful if you have classes or files whose names only differ -# in case and if your file system supports case sensitive file names. Windows -# and Mac users are advised to set this option to NO. - -CASE_SENSE_NAMES = YES - -# If the HIDE_SCOPE_NAMES tag is set to NO (the default) then Doxygen -# will show members with their full class and namespace scopes in the -# documentation. If set to YES the scope will be hidden. - -HIDE_SCOPE_NAMES = NO - -# If the SHOW_INCLUDE_FILES tag is set to YES (the default) then Doxygen -# will put a list of the files that are included by a file in the documentation -# of that file. - -SHOW_INCLUDE_FILES = YES - -# If the FORCE_LOCAL_INCLUDES tag is set to YES then Doxygen -# will list include files with double quotes in the documentation -# rather than with sharp brackets. - -FORCE_LOCAL_INCLUDES = NO - -# If the INLINE_INFO tag is set to YES (the default) then a tag [inline] -# is inserted in the documentation for inline members. - -INLINE_INFO = YES - -# If the SORT_MEMBER_DOCS tag is set to YES (the default) then doxygen -# will sort the (detailed) documentation of file and class members -# alphabetically by member name. If set to NO the members will appear in -# declaration order. - -SORT_MEMBER_DOCS = NO - -# If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the -# brief documentation of file, namespace and class members alphabetically -# by member name. If set to NO (the default) the members will appear in -# declaration order. - -SORT_BRIEF_DOCS = NO - -# If the SORT_MEMBERS_CTORS_1ST tag is set to YES then doxygen -# will sort the (brief and detailed) documentation of class members so that -# constructors and destructors are listed first. If set to NO (the default) -# the constructors will appear in the respective orders defined by -# SORT_MEMBER_DOCS and SORT_BRIEF_DOCS. -# This tag will be ignored for brief docs if SORT_BRIEF_DOCS is set to NO -# and ignored for detailed docs if SORT_MEMBER_DOCS is set to NO. - -SORT_MEMBERS_CTORS_1ST = NO - -# If the SORT_GROUP_NAMES tag is set to YES then doxygen will sort the -# hierarchy of group names into alphabetical order. If set to NO (the default) -# the group names will appear in their defined order. - -SORT_GROUP_NAMES = NO - -# If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be -# sorted by fully-qualified names, including namespaces. If set to -# NO (the default), the class list will be sorted only by class name, -# not including the namespace part. -# Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES. -# Note: This option applies only to the class list, not to the -# alphabetical list. - -SORT_BY_SCOPE_NAME = NO - -# If the STRICT_PROTO_MATCHING option is enabled and doxygen fails to -# do proper type resolution of all parameters of a function it will reject a -# match between the prototype and the implementation of a member function even -# if there is only one candidate or it is obvious which candidate to choose -# by doing a simple string match. By disabling STRICT_PROTO_MATCHING doxygen -# will still accept a match between prototype and implementation in such cases. - -STRICT_PROTO_MATCHING = NO - -# The GENERATE_TODOLIST tag can be used to enable (YES) or -# disable (NO) the todo list. This list is created by putting \todo -# commands in the documentation. - -GENERATE_TODOLIST = YES - -# The GENERATE_TESTLIST tag can be used to enable (YES) or -# disable (NO) the test list. This list is created by putting \test -# commands in the documentation. - -GENERATE_TESTLIST = YES - -# The GENERATE_BUGLIST tag can be used to enable (YES) or -# disable (NO) the bug list. This list is created by putting \bug -# commands in the documentation. - -GENERATE_BUGLIST = YES - -# The GENERATE_DEPRECATEDLIST tag can be used to enable (YES) or -# disable (NO) the deprecated list. This list is created by putting -# \deprecated commands in the documentation. - -GENERATE_DEPRECATEDLIST= YES - -# The ENABLED_SECTIONS tag can be used to enable conditional -# documentation sections, marked by \if sectionname ... \endif. - -ENABLED_SECTIONS = - -# The MAX_INITIALIZER_LINES tag determines the maximum number of lines -# the initial value of a variable or macro consists of for it to appear in -# the documentation. If the initializer consists of more lines than specified -# here it will be hidden. Use a value of 0 to hide initializers completely. -# The appearance of the initializer of individual variables and macros in the -# documentation can be controlled using \showinitializer or \hideinitializer -# command in the documentation regardless of this setting. - -MAX_INITIALIZER_LINES = 30 - -# Set the SHOW_USED_FILES tag to NO to disable the list of files generated -# at the bottom of the documentation of classes and structs. If set to YES the -# list will mention the files that were used to generate the documentation. - -SHOW_USED_FILES = YES - -# Set the SHOW_FILES tag to NO to disable the generation of the Files page. -# This will remove the Files entry from the Quick Index and from the -# Folder Tree View (if specified). The default is YES. - -SHOW_FILES = YES - -# Set the SHOW_NAMESPACES tag to NO to disable the generation of the -# Namespaces page. -# This will remove the Namespaces entry from the Quick Index -# and from the Folder Tree View (if specified). The default is YES. - -SHOW_NAMESPACES = YES - -# The FILE_VERSION_FILTER tag can be used to specify a program or script that -# doxygen should invoke to get the current version for each file (typically from -# the version control system). Doxygen will invoke the program by executing (via -# popen()) the command , where is the value of -# the FILE_VERSION_FILTER tag, and is the name of an input file -# provided by doxygen. Whatever the program writes to standard output -# is used as the file version. See the manual for examples. - -FILE_VERSION_FILTER = - -# The LAYOUT_FILE tag can be used to specify a layout file which will be parsed -# by doxygen. The layout file controls the global structure of the generated -# output files in an output format independent way. To create the layout file -# that represents doxygen's defaults, run doxygen with the -l option. -# You can optionally specify a file name after the option, if omitted -# DoxygenLayout.xml will be used as the name of the layout file. - -LAYOUT_FILE = - -# The CITE_BIB_FILES tag can be used to specify one or more bib files -# containing the references data. This must be a list of .bib files. The -# .bib extension is automatically appended if omitted. Using this command -# requires the bibtex tool to be installed. See also -# http://en.wikipedia.org/wiki/BibTeX for more info. For LaTeX the style -# of the bibliography can be controlled using LATEX_BIB_STYLE. To use this -# feature you need bibtex and perl available in the search path. - -CITE_BIB_FILES = - -#--------------------------------------------------------------------------- -# configuration options related to warning and progress messages -#--------------------------------------------------------------------------- - -# The QUIET tag can be used to turn on/off the messages that are generated -# by doxygen. Possible values are YES and NO. If left blank NO is used. - -QUIET = NO - -# The WARNINGS tag can be used to turn on/off the warning messages that are -# generated by doxygen. Possible values are YES and NO. If left blank -# NO is used. - -WARNINGS = YES - -# If WARN_IF_UNDOCUMENTED is set to YES, then doxygen will generate warnings -# for undocumented members. If EXTRACT_ALL is set to YES then this flag will -# automatically be disabled. - -WARN_IF_UNDOCUMENTED = YES - -# If WARN_IF_DOC_ERROR is set to YES, doxygen will generate warnings for -# potential errors in the documentation, such as not documenting some -# parameters in a documented function, or documenting parameters that -# don't exist or using markup commands wrongly. - -WARN_IF_DOC_ERROR = YES - -# The WARN_NO_PARAMDOC option can be enabled to get warnings for -# functions that are documented, but have no documentation for their parameters -# or return value. If set to NO (the default) doxygen will only warn about -# wrong or incomplete parameter documentation, but not about the absence of -# documentation. - -WARN_NO_PARAMDOC = NO - -# The WARN_FORMAT tag determines the format of the warning messages that -# doxygen can produce. The string should contain the $file, $line, and $text -# tags, which will be replaced by the file and line number from which the -# warning originated and the warning text. Optionally the format may contain -# $version, which will be replaced by the version of the file (if it could -# be obtained via FILE_VERSION_FILTER) - -WARN_FORMAT = "$file:$line: $text" - -# The WARN_LOGFILE tag can be used to specify a file to which warning -# and error messages should be written. If left blank the output is written -# to stderr. - -WARN_LOGFILE = - -#--------------------------------------------------------------------------- -# configuration options related to the input files -#--------------------------------------------------------------------------- - -# The INPUT tag can be used to specify the files and/or directories that contain -# documented source files. You may enter file names like "myfile.cpp" or -# directories like "/usr/src/myproject". Separate the files or directories -# with spaces. - -INPUT = @PROJECT_SOURCE_DIR@/legacy/Fortran \ - @PROJECT_SOURCE_DIR@/doc/geodesic-for.dox - -# This tag can be used to specify the character encoding of the source files -# that doxygen parses. Internally doxygen uses the UTF-8 encoding, which is -# also the default input encoding. Doxygen uses libiconv (or the iconv built -# into libc) for the transcoding. See http://www.gnu.org/software/libiconv for -# the list of possible encodings. - -INPUT_ENCODING = UTF-8 - -# If the value of the INPUT tag contains directories, you can use the -# FILE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp -# and *.h) to filter out the source-files in the directories. If left -# blank the following patterns are tested: -# *.c *.cc *.cxx *.cpp *.c++ *.d *.java *.ii *.ixx *.ipp *.i++ *.inl *.h *.hh -# *.hxx *.hpp *.h++ *.idl *.odl *.cs *.php *.php3 *.inc *.m *.mm *.dox *.py -# *.f90 *.f *.for *.vhd *.vhdl - -FILE_PATTERNS = geod*.for planimeter.for geodesic.inc - -# The RECURSIVE tag can be used to turn specify whether or not subdirectories -# should be searched for input files as well. Possible values are YES and NO. -# If left blank NO is used. - -RECURSIVE = NO - -# The EXCLUDE tag can be used to specify files and/or directories that should be -# excluded from the INPUT source files. This way you can easily exclude a -# subdirectory from a directory tree whose root is specified with the INPUT tag. -# Note that relative paths are relative to the directory from which doxygen is -# run. - -EXCLUDE = - -# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or -# directories that are symbolic links (a Unix file system feature) are excluded -# from the input. - -EXCLUDE_SYMLINKS = NO - -# If the value of the INPUT tag contains directories, you can use the -# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude -# certain files from those directories. Note that the wildcards are matched -# against the file with absolute path, so to exclude all test directories -# for example use the pattern */test/* - -EXCLUDE_PATTERNS = - -# The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names -# (namespaces, classes, functions, etc.) that should be excluded from the -# output. The symbol name can be a fully qualified name, a word, or if the -# wildcard * is used, a substring. Examples: ANamespace, AClass, -# AClass::ANamespace, ANamespace::*Test - -EXCLUDE_SYMBOLS = - -# The EXAMPLE_PATH tag can be used to specify one or more files or -# directories that contain example code fragments that are included (see -# the \include command). - -EXAMPLE_PATH = @PROJECT_SOURCE_DIR@/legacy/Fortran - -# If the value of the EXAMPLE_PATH tag contains directories, you can use the -# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp -# and *.h) to filter out the source-files in the directories. If left -# blank all files are included. - -EXAMPLE_PATTERNS = - -# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be -# searched for input files to be used with the \include or \dontinclude -# commands irrespective of the value of the RECURSIVE tag. -# Possible values are YES and NO. If left blank NO is used. - -EXAMPLE_RECURSIVE = NO - -# The IMAGE_PATH tag can be used to specify one or more files or -# directories that contain image that are included in the documentation (see -# the \image command). - -IMAGE_PATH = - -# The INPUT_FILTER tag can be used to specify a program that doxygen should -# invoke to filter for each input file. Doxygen will invoke the filter program -# by executing (via popen()) the command , where -# is the value of the INPUT_FILTER tag, and is the name of an -# input file. Doxygen will then use the output that the filter program writes -# to standard output. -# If FILTER_PATTERNS is specified, this tag will be -# ignored. - -INPUT_FILTER = "sed -e /@cond/,/@endcond/g" - -# The FILTER_PATTERNS tag can be used to specify filters on a per file pattern -# basis. -# Doxygen will compare the file name with each pattern and apply the -# filter if there is a match. -# The filters are a list of the form: -# pattern=filter (like *.cpp=my_cpp_filter). See INPUT_FILTER for further -# info on how filters are used. If FILTER_PATTERNS is empty or if -# non of the patterns match the file name, INPUT_FILTER is applied. - -FILTER_PATTERNS = - -# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using -# INPUT_FILTER) will be used to filter the input files when producing source -# files to browse (i.e. when SOURCE_BROWSER is set to YES). - -FILTER_SOURCE_FILES = NO - -# The FILTER_SOURCE_PATTERNS tag can be used to specify source filters per file -# pattern. A pattern will override the setting for FILTER_PATTERN (if any) -# and it is also possible to disable source filtering for a specific pattern -# using *.ext= (so without naming a filter). This option only has effect when -# FILTER_SOURCE_FILES is enabled. - -FILTER_SOURCE_PATTERNS = - -#--------------------------------------------------------------------------- -# configuration options related to source browsing -#--------------------------------------------------------------------------- - -# If the SOURCE_BROWSER tag is set to YES then a list of source files will -# be generated. Documented entities will be cross-referenced with these sources. -# Note: To get rid of all source code in the generated output, make sure also -# VERBATIM_HEADERS is set to NO. - -SOURCE_BROWSER = YES - -# Setting the INLINE_SOURCES tag to YES will include the body -# of functions and classes directly in the documentation. - -INLINE_SOURCES = NO - -# Setting the STRIP_CODE_COMMENTS tag to YES (the default) will instruct -# doxygen to hide any special comment blocks from generated source code -# fragments. Normal C, C++ and Fortran comments will always remain visible. - -STRIP_CODE_COMMENTS = NO - -# If the REFERENCED_BY_RELATION tag is set to YES -# then for each documented function all documented -# functions referencing it will be listed. - -REFERENCED_BY_RELATION = YES - -# If the REFERENCES_RELATION tag is set to YES -# then for each documented function all documented entities -# called/used by that function will be listed. - -REFERENCES_RELATION = YES - -# If the REFERENCES_LINK_SOURCE tag is set to YES (the default) -# and SOURCE_BROWSER tag is set to YES, then the hyperlinks from -# functions in REFERENCES_RELATION and REFERENCED_BY_RELATION lists will -# link to the source code. -# Otherwise they will link to the documentation. - -REFERENCES_LINK_SOURCE = YES - -# If the USE_HTAGS tag is set to YES then the references to source code -# will point to the HTML generated by the htags(1) tool instead of doxygen -# built-in source browser. The htags tool is part of GNU's global source -# tagging system (see http://www.gnu.org/software/global/global.html). You -# will need version 4.8.6 or higher. - -USE_HTAGS = NO - -# If the VERBATIM_HEADERS tag is set to YES (the default) then Doxygen -# will generate a verbatim copy of the header file for each class for -# which an include is specified. Set to NO to disable this. - -VERBATIM_HEADERS = YES - -#--------------------------------------------------------------------------- -# configuration options related to the alphabetical class index -#--------------------------------------------------------------------------- - -# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index -# of all compounds will be generated. Enable this if the project -# contains a lot of classes, structs, unions or interfaces. - -ALPHABETICAL_INDEX = NO - -# If the alphabetical index is enabled (see ALPHABETICAL_INDEX) then -# the COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns -# in which this list will be split (can be a number in the range [1..20]) - -COLS_IN_ALPHA_INDEX = 5 - -# In case all classes in a project start with a common prefix, all -# classes will be put under the same header in the alphabetical index. -# The IGNORE_PREFIX tag can be used to specify one or more prefixes that -# should be ignored while generating the index headers. - -IGNORE_PREFIX = - -#--------------------------------------------------------------------------- -# configuration options related to the HTML output -#--------------------------------------------------------------------------- - -# If the GENERATE_HTML tag is set to YES (the default) Doxygen will -# generate HTML output. - -GENERATE_HTML = YES - -# The HTML_OUTPUT tag is used to specify where the HTML docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `html' will be used as the default path. - -HTML_OUTPUT = html/Fortran - -# The HTML_FILE_EXTENSION tag can be used to specify the file extension for -# each generated HTML page (for example: .htm,.php,.asp). If it is left blank -# doxygen will generate files with .html extension. - -HTML_FILE_EXTENSION = .html - -# The HTML_HEADER tag can be used to specify a personal HTML header for -# each generated HTML page. If it is left blank doxygen will generate a -# standard header. Note that when using a custom header you are responsible -# for the proper inclusion of any scripts and style sheets that doxygen -# needs, which is dependent on the configuration options used. -# It is advised to generate a default header using "doxygen -w html -# header.html footer.html stylesheet.css YourConfigFile" and then modify -# that header. Note that the header is subject to change so you typically -# have to redo this when upgrading to a newer version of doxygen or when -# changing the value of configuration settings such as GENERATE_TREEVIEW! - -HTML_HEADER = - -# The HTML_FOOTER tag can be used to specify a personal HTML footer for -# each generated HTML page. If it is left blank doxygen will generate a -# standard footer. - -HTML_FOOTER = - -# The HTML_STYLESHEET tag can be used to specify a user-defined cascading -# style sheet that is used by each HTML page. It can be used to -# fine-tune the look of the HTML output. If left blank doxygen will -# generate a default style sheet. Note that it is recommended to use -# HTML_EXTRA_STYLESHEET instead of this one, as it is more robust and this -# tag will in the future become obsolete. - -HTML_STYLESHEET = - -# The HTML_EXTRA_STYLESHEET tag can be used to specify an additional -# user-defined cascading style sheet that is included after the standard -# style sheets created by doxygen. Using this option one can overrule -# certain style aspects. This is preferred over using HTML_STYLESHEET -# since it does not replace the standard style sheet and is therefor more -# robust against future updates. Doxygen will copy the style sheet file to -# the output directory. - -HTML_EXTRA_STYLESHEET = - -# The HTML_EXTRA_FILES tag can be used to specify one or more extra images or -# other source files which should be copied to the HTML output directory. Note -# that these files will be copied to the base HTML output directory. Use the -# $relpath$ marker in the HTML_HEADER and/or HTML_FOOTER files to load these -# files. In the HTML_STYLESHEET file, use the file name only. Also note that -# the files will be copied as-is; there are no commands or markers available. - -HTML_EXTRA_FILES = - -# The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. -# Doxygen will adjust the colors in the style sheet and background images -# according to this color. Hue is specified as an angle on a colorwheel, -# see http://en.wikipedia.org/wiki/Hue for more information. -# For instance the value 0 represents red, 60 is yellow, 120 is green, -# 180 is cyan, 240 is blue, 300 purple, and 360 is red again. -# The allowed range is 0 to 359. - -HTML_COLORSTYLE_HUE = 220 - -# The HTML_COLORSTYLE_SAT tag controls the purity (or saturation) of -# the colors in the HTML output. For a value of 0 the output will use -# grayscales only. A value of 255 will produce the most vivid colors. - -HTML_COLORSTYLE_SAT = 100 - -# The HTML_COLORSTYLE_GAMMA tag controls the gamma correction applied to -# the luminance component of the colors in the HTML output. Values below -# 100 gradually make the output lighter, whereas values above 100 make -# the output darker. The value divided by 100 is the actual gamma applied, -# so 80 represents a gamma of 0.8, The value 220 represents a gamma of 2.2, -# and 100 does not change the gamma. - -HTML_COLORSTYLE_GAMMA = 80 - -# If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML -# page will contain the date and time when the page was generated. Setting -# this to NO can help when comparing the output of multiple runs. - -HTML_TIMESTAMP = NO - -# If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML -# documentation will contain sections that can be hidden and shown after the -# page has loaded. - -HTML_DYNAMIC_SECTIONS = NO - -# With HTML_INDEX_NUM_ENTRIES one can control the preferred number of -# entries shown in the various tree structured indices initially; the user -# can expand and collapse entries dynamically later on. Doxygen will expand -# the tree to such a level that at most the specified number of entries are -# visible (unless a fully collapsed tree already exceeds this amount). -# So setting the number of entries 1 will produce a full collapsed tree by -# default. 0 is a special value representing an infinite number of entries -# and will result in a full expanded tree by default. - -HTML_INDEX_NUM_ENTRIES = 100 - -# If the GENERATE_DOCSET tag is set to YES, additional index files -# will be generated that can be used as input for Apple's Xcode 3 -# integrated development environment, introduced with OSX 10.5 (Leopard). -# To create a documentation set, doxygen will generate a Makefile in the -# HTML output directory. Running make will produce the docset in that -# directory and running "make install" will install the docset in -# ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find -# it at startup. -# See http://developer.apple.com/tools/creatingdocsetswithdoxygen.html -# for more information. - -GENERATE_DOCSET = NO - -# When GENERATE_DOCSET tag is set to YES, this tag determines the name of the -# feed. A documentation feed provides an umbrella under which multiple -# documentation sets from a single provider (such as a company or product suite) -# can be grouped. - -DOCSET_FEEDNAME = "Doxygen generated docs" - -# When GENERATE_DOCSET tag is set to YES, this tag specifies a string that -# should uniquely identify the documentation set bundle. This should be a -# reverse domain-name style string, e.g. com.mycompany.MyDocSet. Doxygen -# will append .docset to the name. - -DOCSET_BUNDLE_ID = org.doxygen.Project - -# When GENERATE_PUBLISHER_ID tag specifies a string that should uniquely -# identify the documentation publisher. This should be a reverse domain-name -# style string, e.g. com.mycompany.MyDocSet.documentation. - -DOCSET_PUBLISHER_ID = org.doxygen.Publisher - -# The GENERATE_PUBLISHER_NAME tag identifies the documentation publisher. - -DOCSET_PUBLISHER_NAME = Publisher - -# If the GENERATE_HTMLHELP tag is set to YES, additional index files -# will be generated that can be used as input for tools like the -# Microsoft HTML help workshop to generate a compiled HTML help file (.chm) -# of the generated HTML documentation. - -GENERATE_HTMLHELP = NO - -# If the GENERATE_HTMLHELP tag is set to YES, the CHM_FILE tag can -# be used to specify the file name of the resulting .chm file. You -# can add a path in front of the file if the result should not be -# written to the html output directory. - -CHM_FILE = - -# If the GENERATE_HTMLHELP tag is set to YES, the HHC_LOCATION tag can -# be used to specify the location (absolute path including file name) of -# the HTML help compiler (hhc.exe). If non-empty doxygen will try to run -# the HTML help compiler on the generated index.hhp. - -HHC_LOCATION = - -# If the GENERATE_HTMLHELP tag is set to YES, the GENERATE_CHI flag -# controls if a separate .chi index file is generated (YES) or that -# it should be included in the master .chm file (NO). - -GENERATE_CHI = NO - -# If the GENERATE_HTMLHELP tag is set to YES, the CHM_INDEX_ENCODING -# is used to encode HtmlHelp index (hhk), content (hhc) and project file -# content. - -CHM_INDEX_ENCODING = - -# If the GENERATE_HTMLHELP tag is set to YES, the BINARY_TOC flag -# controls whether a binary table of contents is generated (YES) or a -# normal table of contents (NO) in the .chm file. - -BINARY_TOC = NO - -# The TOC_EXPAND flag can be set to YES to add extra items for group members -# to the contents of the HTML help documentation and to the tree view. - -TOC_EXPAND = NO - -# If the GENERATE_QHP tag is set to YES and both QHP_NAMESPACE and -# QHP_VIRTUAL_FOLDER are set, an additional index file will be generated -# that can be used as input for Qt's qhelpgenerator to generate a -# Qt Compressed Help (.qch) of the generated HTML documentation. - -GENERATE_QHP = NO - -# If the QHG_LOCATION tag is specified, the QCH_FILE tag can -# be used to specify the file name of the resulting .qch file. -# The path specified is relative to the HTML output folder. - -QCH_FILE = - -# The QHP_NAMESPACE tag specifies the namespace to use when generating -# Qt Help Project output. For more information please see -# http://doc.trolltech.com/qthelpproject.html#namespace - -QHP_NAMESPACE = org.doxygen.Project - -# The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating -# Qt Help Project output. For more information please see -# http://doc.trolltech.com/qthelpproject.html#virtual-folders - -QHP_VIRTUAL_FOLDER = doc - -# If QHP_CUST_FILTER_NAME is set, it specifies the name of a custom filter to -# add. For more information please see -# http://doc.trolltech.com/qthelpproject.html#custom-filters - -QHP_CUST_FILTER_NAME = - -# The QHP_CUST_FILT_ATTRS tag specifies the list of the attributes of the -# custom filter to add. For more information please see -# -# Qt Help Project / Custom Filters. - -QHP_CUST_FILTER_ATTRS = - -# The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this -# project's -# filter section matches. -# -# Qt Help Project / Filter Attributes. - -QHP_SECT_FILTER_ATTRS = - -# If the GENERATE_QHP tag is set to YES, the QHG_LOCATION tag can -# be used to specify the location of Qt's qhelpgenerator. -# If non-empty doxygen will try to run qhelpgenerator on the generated -# .qhp file. - -QHG_LOCATION = - -# If the GENERATE_ECLIPSEHELP tag is set to YES, additional index files -# will be generated, which together with the HTML files, form an Eclipse help -# plugin. To install this plugin and make it available under the help contents -# menu in Eclipse, the contents of the directory containing the HTML and XML -# files needs to be copied into the plugins directory of eclipse. The name of -# the directory within the plugins directory should be the same as -# the ECLIPSE_DOC_ID value. After copying Eclipse needs to be restarted before -# the help appears. - -GENERATE_ECLIPSEHELP = NO - -# A unique identifier for the eclipse help plugin. When installing the plugin -# the directory name containing the HTML and XML files should also have -# this name. - -ECLIPSE_DOC_ID = org.doxygen.Project - -# The DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) -# at top of each HTML page. The value NO (the default) enables the index and -# the value YES disables it. Since the tabs have the same information as the -# navigation tree you can set this option to NO if you already set -# GENERATE_TREEVIEW to YES. - -DISABLE_INDEX = NO - -# The GENERATE_TREEVIEW tag is used to specify whether a tree-like index -# structure should be generated to display hierarchical information. -# If the tag value is set to YES, a side panel will be generated -# containing a tree-like index structure (just like the one that -# is generated for HTML Help). For this to work a browser that supports -# JavaScript, DHTML, CSS and frames is required (i.e. any modern browser). -# Windows users are probably better off using the HTML help feature. -# Since the tree basically has the same information as the tab index you -# could consider to set DISABLE_INDEX to NO when enabling this option. - -GENERATE_TREEVIEW = NO - -# The ENUM_VALUES_PER_LINE tag can be used to set the number of enum values -# (range [0,1..20]) that doxygen will group on one line in the generated HTML -# documentation. Note that a value of 0 will completely suppress the enum -# values from appearing in the overview section. - -ENUM_VALUES_PER_LINE = 4 - -# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be -# used to set the initial width (in pixels) of the frame in which the tree -# is shown. - -TREEVIEW_WIDTH = 250 - -# When the EXT_LINKS_IN_WINDOW option is set to YES doxygen will open -# links to external symbols imported via tag files in a separate window. - -EXT_LINKS_IN_WINDOW = NO - -# Use this tag to change the font size of Latex formulas included -# as images in the HTML documentation. The default is 10. Note that -# when you change the font size after a successful doxygen run you need -# to manually remove any form_*.png images from the HTML output directory -# to force them to be regenerated. - -FORMULA_FONTSIZE = 10 - -# Use the FORMULA_TRANPARENT tag to determine whether or not the images -# generated for formulas are transparent PNGs. Transparent PNGs are -# not supported properly for IE 6.0, but are supported on all modern browsers. -# Note that when changing this option you need to delete any form_*.png files -# in the HTML output before the changes have effect. - -FORMULA_TRANSPARENT = YES - -# Enable the USE_MATHJAX option to render LaTeX formulas using MathJax -# (see http://www.mathjax.org) which uses client side Javascript for the -# rendering instead of using prerendered bitmaps. Use this if you do not -# have LaTeX installed or if you want to formulas look prettier in the HTML -# output. When enabled you may also need to install MathJax separately and -# configure the path to it using the MATHJAX_RELPATH option. - -USE_MATHJAX = NO - -# When MathJax is enabled you need to specify the location relative to the -# HTML output directory using the MATHJAX_RELPATH option. The destination -# directory should contain the MathJax.js script. For instance, if the mathjax -# directory is located at the same level as the HTML output directory, then -# MATHJAX_RELPATH should be ../mathjax. The default value points to -# the MathJax Content Delivery Network so you can quickly see the result without -# installing MathJax. -# However, it is strongly recommended to install a local -# copy of MathJax from http://www.mathjax.org before deployment. - -MATHJAX_RELPATH = https://geographiclib.sourceforge.io/MathJax-2.7.2 - -# The MATHJAX_EXTENSIONS tag can be used to specify one or MathJax extension -# names that should be enabled during MathJax rendering. - -MATHJAX_EXTENSIONS = - -# When the SEARCHENGINE tag is enabled doxygen will generate a search box -# for the HTML output. The underlying search engine uses javascript -# and DHTML and should work on any modern browser. Note that when using -# HTML help (GENERATE_HTMLHELP), Qt help (GENERATE_QHP), or docsets -# (GENERATE_DOCSET) there is already a search function so this one should -# typically be disabled. For large projects the javascript based search engine -# can be slow, then enabling SERVER_BASED_SEARCH may provide a better solution. - -SEARCHENGINE = YES - -# When the SERVER_BASED_SEARCH tag is enabled the search engine will be -# implemented using a PHP enabled web server instead of at the web client -# using Javascript. Doxygen will generate the search PHP script and index -# file to put on the web server. The advantage of the server -# based approach is that it scales better to large projects and allows -# full text search. The disadvantages are that it is more difficult to setup -# and does not have live searching capabilities. - -SERVER_BASED_SEARCH = NO - -#--------------------------------------------------------------------------- -# configuration options related to the LaTeX output -#--------------------------------------------------------------------------- - -# If the GENERATE_LATEX tag is set to YES (the default) Doxygen will -# generate Latex output. - -GENERATE_LATEX = NO - -# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `latex' will be used as the default path. - -LATEX_OUTPUT = latex - -# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be -# invoked. If left blank `latex' will be used as the default command name. -# Note that when enabling USE_PDFLATEX this option is only used for -# generating bitmaps for formulas in the HTML output, but not in the -# Makefile that is written to the output directory. - -LATEX_CMD_NAME = latex - -# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to -# generate index for LaTeX. If left blank `makeindex' will be used as the -# default command name. - -MAKEINDEX_CMD_NAME = makeindex - -# If the COMPACT_LATEX tag is set to YES Doxygen generates more compact -# LaTeX documents. This may be useful for small projects and may help to -# save some trees in general. - -COMPACT_LATEX = NO - -# The PAPER_TYPE tag can be used to set the paper type that is used -# by the printer. Possible values are: a4, letter, legal and -# executive. If left blank a4wide will be used. - -PAPER_TYPE = a4wide - -# The EXTRA_PACKAGES tag can be to specify one or more names of LaTeX -# packages that should be included in the LaTeX output. - -EXTRA_PACKAGES = - -# The LATEX_HEADER tag can be used to specify a personal LaTeX header for -# the generated latex document. The header should contain everything until -# the first chapter. If it is left blank doxygen will generate a -# standard header. Notice: only use this tag if you know what you are doing! - -LATEX_HEADER = - -# The LATEX_FOOTER tag can be used to specify a personal LaTeX footer for -# the generated latex document. The footer should contain everything after -# the last chapter. If it is left blank doxygen will generate a -# standard footer. Notice: only use this tag if you know what you are doing! - -LATEX_FOOTER = - -# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated -# is prepared for conversion to pdf (using ps2pdf). The pdf file will -# contain links (just like the HTML output) instead of page references -# This makes the output suitable for online browsing using a pdf viewer. - -PDF_HYPERLINKS = NO - -# If the USE_PDFLATEX tag is set to YES, pdflatex will be used instead of -# plain latex in the generated Makefile. Set this option to YES to get a -# higher quality PDF documentation. - -USE_PDFLATEX = NO - -# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \\batchmode. -# command to the generated LaTeX files. This will instruct LaTeX to keep -# running if errors occur, instead of asking the user for help. -# This option is also used when generating formulas in HTML. - -LATEX_BATCHMODE = NO - -# If LATEX_HIDE_INDICES is set to YES then doxygen will not -# include the index chapters (such as File Index, Compound Index, etc.) -# in the output. - -LATEX_HIDE_INDICES = NO - -# If LATEX_SOURCE_CODE is set to YES then doxygen will include -# source code with syntax highlighting in the LaTeX output. -# Note that which sources are shown also depends on other settings -# such as SOURCE_BROWSER. - -LATEX_SOURCE_CODE = NO - -# The LATEX_BIB_STYLE tag can be used to specify the style to use for the -# bibliography, e.g. plainnat, or ieeetr. The default style is "plain". See -# http://en.wikipedia.org/wiki/BibTeX for more info. - -LATEX_BIB_STYLE = plain - -#--------------------------------------------------------------------------- -# configuration options related to the RTF output -#--------------------------------------------------------------------------- - -# If the GENERATE_RTF tag is set to YES Doxygen will generate RTF output -# The RTF output is optimized for Word 97 and may not look very pretty with -# other RTF readers or editors. - -GENERATE_RTF = NO - -# The RTF_OUTPUT tag is used to specify where the RTF docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `rtf' will be used as the default path. - -RTF_OUTPUT = rtf - -# If the COMPACT_RTF tag is set to YES Doxygen generates more compact -# RTF documents. This may be useful for small projects and may help to -# save some trees in general. - -COMPACT_RTF = NO - -# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated -# will contain hyperlink fields. The RTF file will -# contain links (just like the HTML output) instead of page references. -# This makes the output suitable for online browsing using WORD or other -# programs which support those fields. -# Note: wordpad (write) and others do not support links. - -RTF_HYPERLINKS = NO - -# Load style sheet definitions from file. Syntax is similar to doxygen's -# config file, i.e. a series of assignments. You only have to provide -# replacements, missing definitions are set to their default value. - -RTF_STYLESHEET_FILE = - -# Set optional variables used in the generation of an rtf document. -# Syntax is similar to doxygen's config file. - -RTF_EXTENSIONS_FILE = - -#--------------------------------------------------------------------------- -# configuration options related to the man page output -#--------------------------------------------------------------------------- - -# If the GENERATE_MAN tag is set to YES (the default) Doxygen will -# generate man pages - -GENERATE_MAN = NO - -# The MAN_OUTPUT tag is used to specify where the man pages will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `man' will be used as the default path. - -MAN_OUTPUT = man - -# The MAN_EXTENSION tag determines the extension that is added to -# the generated man pages (default is the subroutine's section .3) - -MAN_EXTENSION = .3 - -# If the MAN_LINKS tag is set to YES and Doxygen generates man output, -# then it will generate one additional man file for each entity -# documented in the real man page(s). These additional files -# only source the real man page, but without them the man command -# would be unable to find the correct page. The default is NO. - -MAN_LINKS = NO - -#--------------------------------------------------------------------------- -# configuration options related to the XML output -#--------------------------------------------------------------------------- - -# If the GENERATE_XML tag is set to YES Doxygen will -# generate an XML file that captures the structure of -# the code including all documentation. - -GENERATE_XML = NO - -# The XML_OUTPUT tag is used to specify where the XML pages will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `xml' will be used as the default path. - -XML_OUTPUT = xml - -# If the XML_PROGRAMLISTING tag is set to YES Doxygen will -# dump the program listings (including syntax highlighting -# and cross-referencing information) to the XML output. Note that -# enabling this will significantly increase the size of the XML output. - -XML_PROGRAMLISTING = YES - -#--------------------------------------------------------------------------- -# configuration options for the AutoGen Definitions output -#--------------------------------------------------------------------------- - -# If the GENERATE_AUTOGEN_DEF tag is set to YES Doxygen will -# generate an AutoGen Definitions (see autogen.sf.net) file -# that captures the structure of the code including all -# documentation. Note that this feature is still experimental -# and incomplete at the moment. - -GENERATE_AUTOGEN_DEF = NO - -#--------------------------------------------------------------------------- -# configuration options related to the Perl module output -#--------------------------------------------------------------------------- - -# If the GENERATE_PERLMOD tag is set to YES Doxygen will -# generate a Perl module file that captures the structure of -# the code including all documentation. Note that this -# feature is still experimental and incomplete at the -# moment. - -GENERATE_PERLMOD = NO - -# If the PERLMOD_LATEX tag is set to YES Doxygen will generate -# the necessary Makefile rules, Perl scripts and LaTeX code to be able -# to generate PDF and DVI output from the Perl module output. - -PERLMOD_LATEX = NO - -# If the PERLMOD_PRETTY tag is set to YES the Perl module output will be -# nicely formatted so it can be parsed by a human reader. -# This is useful -# if you want to understand what is going on. -# On the other hand, if this -# tag is set to NO the size of the Perl module output will be much smaller -# and Perl will parse it just the same. - -PERLMOD_PRETTY = YES - -# The names of the make variables in the generated doxyrules.make file -# are prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX. -# This is useful so different doxyrules.make files included by the same -# Makefile don't overwrite each other's variables. - -PERLMOD_MAKEVAR_PREFIX = - -#--------------------------------------------------------------------------- -# Configuration options related to the preprocessor -#--------------------------------------------------------------------------- - -# If the ENABLE_PREPROCESSING tag is set to YES (the default) Doxygen will -# evaluate all C-preprocessor directives found in the sources and include -# files. - -ENABLE_PREPROCESSING = YES - -# If the MACRO_EXPANSION tag is set to YES Doxygen will expand all macro -# names in the source code. If set to NO (the default) only conditional -# compilation will be performed. Macro expansion can be done in a controlled -# way by setting EXPAND_ONLY_PREDEF to YES. - -MACRO_EXPANSION = NO - -# If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES -# then the macro expansion is limited to the macros specified with the -# PREDEFINED and EXPAND_AS_DEFINED tags. - -EXPAND_ONLY_PREDEF = NO - -# If the SEARCH_INCLUDES tag is set to YES (the default) the includes files -# pointed to by INCLUDE_PATH will be searched when a #include is found. - -SEARCH_INCLUDES = YES - -# The INCLUDE_PATH tag can be used to specify one or more directories that -# contain include files that are not input files but should be processed by -# the preprocessor. - -INCLUDE_PATH = - -# You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard -# patterns (like *.h and *.hpp) to filter out the header-files in the -# directories. If left blank, the patterns specified with FILE_PATTERNS will -# be used. - -INCLUDE_FILE_PATTERNS = - -# The PREDEFINED tag can be used to specify one or more macro names that -# are defined before the preprocessor is started (similar to the -D option of -# gcc). The argument of the tag is a list of macros of the form: name -# or name=definition (no spaces). If the definition and the = are -# omitted =1 is assumed. To prevent a macro definition from being -# undefined via #undef or recursively expanded use the := operator -# instead of the = operator. - -PREDEFINED = DOXYGEN - -# If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then -# this tag can be used to specify a list of macro names that should be expanded. -# The macro definition that is found in the sources will be used. -# Use the PREDEFINED tag if you want to use a different macro definition that -# overrules the definition found in the source code. - -EXPAND_AS_DEFINED = - -# If the SKIP_FUNCTION_MACROS tag is set to YES (the default) then -# doxygen's preprocessor will remove all references to function-like macros -# that are alone on a line, have an all uppercase name, and do not end with a -# semicolon, because these will confuse the parser if not removed. - -SKIP_FUNCTION_MACROS = YES - -#--------------------------------------------------------------------------- -# Configuration::additions related to external references -#--------------------------------------------------------------------------- - -# The TAGFILES option can be used to specify one or more tagfiles. For each -# tag file the location of the external documentation should be added. The -# format of a tag file without this location is as follows: -# -# TAGFILES = file1 file2 ... -# Adding location for the tag files is done as follows: -# -# TAGFILES = file1=loc1 "file2 = loc2" ... -# where "loc1" and "loc2" can be relative or absolute paths -# or URLs. Note that each tag file must have a unique name (where the name does -# NOT include the path). If a tag file is not located in the directory in which -# doxygen is run, you must also specify the path to the tagfile here. - -TAGFILES = html/GeographicLib.tag=.. - -# When a file name is specified after GENERATE_TAGFILE, doxygen will create -# a tag file that is based on the input files it reads. - -GENERATE_TAGFILE = html/Fortran/GeographicLib-for.tag - -# If the ALLEXTERNALS tag is set to YES all external classes will be listed -# in the class index. If set to NO only the inherited external classes -# will be listed. - -ALLEXTERNALS = NO - -# If the EXTERNAL_GROUPS tag is set to YES all external groups will be listed -# in the modules index. If set to NO, only the current project's groups will -# be listed. - -EXTERNAL_GROUPS = YES - -# The PERL_PATH should be the absolute path and name of the perl script -# interpreter (i.e. the result of `which perl'). - -PERL_PATH = /usr/bin/perl - -#--------------------------------------------------------------------------- -# Configuration options related to the dot tool -#--------------------------------------------------------------------------- - -# If the CLASS_DIAGRAMS tag is set to YES (the default) Doxygen will -# generate a inheritance diagram (in HTML, RTF and LaTeX) for classes with base -# or super classes. Setting the tag to NO turns the diagrams off. Note that -# this option also works with HAVE_DOT disabled, but it is recommended to -# install and use dot, since it yields more powerful graphs. - -CLASS_DIAGRAMS = YES - -# You can define message sequence charts within doxygen comments using the \msc -# command. Doxygen will then run the mscgen tool (see -# http://www.mcternan.me.uk/mscgen/) to produce the chart and insert it in the -# documentation. The MSCGEN_PATH tag allows you to specify the directory where -# the mscgen tool resides. If left empty the tool is assumed to be found in the -# default search path. - -MSCGEN_PATH = - -# If set to YES, the inheritance and collaboration graphs will hide -# inheritance and usage relations if the target is undocumented -# or is not a class. - -HIDE_UNDOC_RELATIONS = YES - -# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is -# available from the path. This tool is part of Graphviz, a graph visualization -# toolkit from AT&T and Lucent Bell Labs. The other options in this section -# have no effect if this option is set to NO (the default) - -HAVE_DOT = NO - -# The DOT_NUM_THREADS specifies the number of dot invocations doxygen is -# allowed to run in parallel. When set to 0 (the default) doxygen will -# base this on the number of processors available in the system. You can set it -# explicitly to a value larger than 0 to get control over the balance -# between CPU load and processing speed. - -DOT_NUM_THREADS = 0 - -# By default doxygen will use the Helvetica font for all dot files that -# doxygen generates. When you want a differently looking font you can specify -# the font name using DOT_FONTNAME. You need to make sure dot is able to find -# the font, which can be done by putting it in a standard location or by setting -# the DOTFONTPATH environment variable or by setting DOT_FONTPATH to the -# directory containing the font. - -DOT_FONTNAME = Helvetica - -# The DOT_FONTSIZE tag can be used to set the size of the font of dot graphs. -# The default size is 10pt. - -DOT_FONTSIZE = 10 - -# By default doxygen will tell dot to use the Helvetica font. -# If you specify a different font using DOT_FONTNAME you can use DOT_FONTPATH to -# set the path where dot can find it. - -DOT_FONTPATH = - -# If the CLASS_GRAPH and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for each documented class showing the direct and -# indirect inheritance relations. Setting this tag to YES will force the -# CLASS_DIAGRAMS tag to NO. - -CLASS_GRAPH = YES - -# If the COLLABORATION_GRAPH and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for each documented class showing the direct and -# indirect implementation dependencies (inheritance, containment, and -# class references variables) of the class with other documented classes. - -COLLABORATION_GRAPH = YES - -# If the GROUP_GRAPHS and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for groups, showing the direct groups dependencies - -GROUP_GRAPHS = YES - -# If the UML_LOOK tag is set to YES doxygen will generate inheritance and -# collaboration diagrams in a style similar to the OMG's Unified Modeling -# Language. - -UML_LOOK = NO - -# If the UML_LOOK tag is enabled, the fields and methods are shown inside -# the class node. If there are many fields or methods and many nodes the -# graph may become too big to be useful. The UML_LIMIT_NUM_FIELDS -# threshold limits the number of items for each type to make the size more -# managable. Set this to 0 for no limit. Note that the threshold may be -# exceeded by 50% before the limit is enforced. - -UML_LIMIT_NUM_FIELDS = 10 - -# If set to YES, the inheritance and collaboration graphs will show the -# relations between templates and their instances. - -TEMPLATE_RELATIONS = NO - -# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDE_GRAPH, and HAVE_DOT -# tags are set to YES then doxygen will generate a graph for each documented -# file showing the direct and indirect include dependencies of the file with -# other documented files. - -INCLUDE_GRAPH = YES - -# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDED_BY_GRAPH, and -# HAVE_DOT tags are set to YES then doxygen will generate a graph for each -# documented header file showing the documented files that directly or -# indirectly include this file. - -INCLUDED_BY_GRAPH = YES - -# If the CALL_GRAPH and HAVE_DOT options are set to YES then -# doxygen will generate a call dependency graph for every global function -# or class method. Note that enabling this option will significantly increase -# the time of a run. So in most cases it will be better to enable call graphs -# for selected functions only using the \callgraph command. - -CALL_GRAPH = NO - -# If the CALLER_GRAPH and HAVE_DOT tags are set to YES then -# doxygen will generate a caller dependency graph for every global function -# or class method. Note that enabling this option will significantly increase -# the time of a run. So in most cases it will be better to enable caller -# graphs for selected functions only using the \callergraph command. - -CALLER_GRAPH = NO - -# If the GRAPHICAL_HIERARCHY and HAVE_DOT tags are set to YES then doxygen -# will generate a graphical hierarchy of all classes instead of a textual one. - -GRAPHICAL_HIERARCHY = YES - -# If the DIRECTORY_GRAPH and HAVE_DOT tags are set to YES -# then doxygen will show the dependencies a directory has on other directories -# in a graphical way. The dependency relations are determined by the #include -# relations between the files in the directories. - -DIRECTORY_GRAPH = YES - -# The DOT_IMAGE_FORMAT tag can be used to set the image format of the images -# generated by dot. Possible values are svg, png, jpg, or gif. -# If left blank png will be used. If you choose svg you need to set -# HTML_FILE_EXTENSION to xhtml in order to make the SVG files -# visible in IE 9+ (other browsers do not have this requirement). - -DOT_IMAGE_FORMAT = png - -# If DOT_IMAGE_FORMAT is set to svg, then this option can be set to YES to -# enable generation of interactive SVG images that allow zooming and panning. -# Note that this requires a modern browser other than Internet Explorer. -# Tested and working are Firefox, Chrome, Safari, and Opera. For IE 9+ you -# need to set HTML_FILE_EXTENSION to xhtml in order to make the SVG files -# visible. Older versions of IE do not have SVG support. - -INTERACTIVE_SVG = NO - -# The tag DOT_PATH can be used to specify the path where the dot tool can be -# found. If left blank, it is assumed the dot tool can be found in the path. - -DOT_PATH = - -# The DOTFILE_DIRS tag can be used to specify one or more directories that -# contain dot files that are included in the documentation (see the -# \dotfile command). - -DOTFILE_DIRS = - -# The MSCFILE_DIRS tag can be used to specify one or more directories that -# contain msc files that are included in the documentation (see the -# \mscfile command). - -MSCFILE_DIRS = - -# The DOT_GRAPH_MAX_NODES tag can be used to set the maximum number of -# nodes that will be shown in the graph. If the number of nodes in a graph -# becomes larger than this value, doxygen will truncate the graph, which is -# visualized by representing a node as a red box. Note that doxygen if the -# number of direct children of the root node in a graph is already larger than -# DOT_GRAPH_MAX_NODES then the graph will not be shown at all. Also note -# that the size of a graph can be further restricted by MAX_DOT_GRAPH_DEPTH. - -DOT_GRAPH_MAX_NODES = 50 - -# The MAX_DOT_GRAPH_DEPTH tag can be used to set the maximum depth of the -# graphs generated by dot. A depth value of 3 means that only nodes reachable -# from the root by following a path via at most 3 edges will be shown. Nodes -# that lay further from the root node will be omitted. Note that setting this -# option to 1 or 2 may greatly reduce the computation time needed for large -# code bases. Also note that the size of a graph can be further restricted by -# DOT_GRAPH_MAX_NODES. Using a depth of 0 means no depth restriction. - -MAX_DOT_GRAPH_DEPTH = 0 - -# Set the DOT_TRANSPARENT tag to YES to generate images with a transparent -# background. This is disabled by default, because dot on Windows does not -# seem to support this out of the box. Warning: Depending on the platform used, -# enabling this option may lead to badly anti-aliased labels on the edges of -# a graph (i.e. they become hard to read). - -DOT_TRANSPARENT = NO - -# Set the DOT_MULTI_TARGETS tag to YES allow dot to generate multiple output -# files in one run (i.e. multiple -o and -T options on the command line). This -# makes dot run faster, but since only newer versions of dot (>1.8.10) -# support this, this feature is disabled by default. - -DOT_MULTI_TARGETS = NO - -# If the GENERATE_LEGEND tag is set to YES (the default) Doxygen will -# generate a legend page explaining the meaning of the various boxes and -# arrows in the dot generated graphs. - -GENERATE_LEGEND = YES - -# If the DOT_CLEANUP tag is set to YES (the default) Doxygen will -# remove the intermediate dot files that are used to generate -# the various graphs. - -DOT_CLEANUP = YES diff --git a/libs/GeographicLib-1.50.1/doc/doxyfile-net.in b/libs/GeographicLib-1.50.1/doc/doxyfile-net.in deleted file mode 100644 index a4b67fee686a3c44c375e2198c477b6fa695caa7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/doxyfile-net.in +++ /dev/null @@ -1,1785 +0,0 @@ -# Doxyfile 1.8.2 - -# This file describes the settings to be used by the documentation system -# doxygen (www.doxygen.org) for a project. -# -# All text after a hash (#) is considered a comment and will be ignored. -# The format is: -# TAG = value [value, ...] -# For lists items can also be appended using: -# TAG += value [value, ...] -# Values that contain spaces should be placed between quotes (" "). - -#--------------------------------------------------------------------------- -# Project related configuration options -#--------------------------------------------------------------------------- - -# This tag specifies the encoding used for all characters in the config file -# that follow. The default is UTF-8 which is also the encoding used for all -# text before the first occurrence of this tag. Doxygen uses libiconv (or the -# iconv built into libc) for the transcoding. See -# http://www.gnu.org/software/libiconv for the list of possible encodings. - -DOXYFILE_ENCODING = UTF-8 - -# The PROJECT_NAME tag is a single word (or sequence of words) that should -# identify the project. Note that if you do not use Doxywizard you need -# to put quotes around the project name if it contains spaces. - -PROJECT_NAME = NETGeographicLib - -# The PROJECT_NUMBER tag can be used to enter a project or revision number. -# This could be handy for archiving the generated documentation or -# if some version control system is used. - -PROJECT_NUMBER = @PROJECT_VERSION@ - -# Using the PROJECT_BRIEF tag one can provide an optional one line description -# for a project that appears at the top of each page and should give viewer -# a quick idea about the purpose of the project. Keep the description short. - -PROJECT_BRIEF = - -# With the PROJECT_LOGO tag one can specify an logo or icon that is -# included in the documentation. The maximum height of the logo should not -# exceed 55 pixels and the maximum width should not exceed 200 pixels. -# Doxygen will copy the logo to the output directory. - -PROJECT_LOGO = - -# The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) -# base path where the generated documentation will be put. -# If a relative path is entered, it will be relative to the location -# where doxygen was started. If left blank the current directory will be used. - -OUTPUT_DIRECTORY = - -# If the CREATE_SUBDIRS tag is set to YES, then doxygen will create -# 4096 sub-directories (in 2 levels) under the output directory of each output -# format and will distribute the generated files over these directories. -# Enabling this option can be useful when feeding doxygen a huge amount of -# source files, where putting all generated files in the same directory would -# otherwise cause performance problems for the file system. - -CREATE_SUBDIRS = NO - -# The OUTPUT_LANGUAGE tag is used to specify the language in which all -# documentation generated by doxygen is written. Doxygen will use this -# information to generate all constant output in the proper language. -# The default language is English, other supported languages are: -# Afrikaans, Arabic, Brazilian, Catalan, Chinese, Chinese-Traditional, -# Croatian, Czech, Danish, Dutch, Esperanto, Farsi, Finnish, French, German, -# Greek, Hungarian, Italian, Japanese, Japanese-en (Japanese with English -# messages), Korean, Korean-en, Lithuanian, Norwegian, Macedonian, Persian, -# Polish, Portuguese, Romanian, Russian, Serbian, Serbian-Cyrillic, Slovak, -# Slovene, Spanish, Swedish, Ukrainian, and Vietnamese. - -OUTPUT_LANGUAGE = English - -# If the BRIEF_MEMBER_DESC tag is set to YES (the default) Doxygen will -# include brief member descriptions after the members that are listed in -# the file and class documentation (similar to JavaDoc). -# Set to NO to disable this. - -BRIEF_MEMBER_DESC = YES - -# If the REPEAT_BRIEF tag is set to YES (the default) Doxygen will prepend -# the brief description of a member or function before the detailed description. -# Note: if both HIDE_UNDOC_MEMBERS and BRIEF_MEMBER_DESC are set to NO, the -# brief descriptions will be completely suppressed. - -REPEAT_BRIEF = YES - -# This tag implements a quasi-intelligent brief description abbreviator -# that is used to form the text in various listings. Each string -# in this list, if found as the leading text of the brief description, will be -# stripped from the text and the result after processing the whole list, is -# used as the annotated text. Otherwise, the brief description is used as-is. -# If left blank, the following values are used ("$name" is automatically -# replaced with the name of the entity): "The $name class" "The $name widget" -# "The $name file" "is" "provides" "specifies" "contains" -# "represents" "a" "an" "the" - -ABBREVIATE_BRIEF = - -# If the ALWAYS_DETAILED_SEC and REPEAT_BRIEF tags are both set to YES then -# Doxygen will generate a detailed section even if there is only a brief -# description. - -ALWAYS_DETAILED_SEC = NO - -# If the INLINE_INHERITED_MEMB tag is set to YES, doxygen will show all -# inherited members of a class in the documentation of that class as if those -# members were ordinary class members. Constructors, destructors and assignment -# operators of the base classes will not be shown. - -INLINE_INHERITED_MEMB = NO - -# If the FULL_PATH_NAMES tag is set to YES then Doxygen will prepend the full -# path before files name in the file list and in the header files. If set -# to NO the shortest path that makes the file name unique will be used. - -FULL_PATH_NAMES = NO - -# If the FULL_PATH_NAMES tag is set to YES then the STRIP_FROM_PATH tag -# can be used to strip a user-defined part of the path. Stripping is -# only done if one of the specified strings matches the left-hand part of -# the path. The tag can be used to show relative paths in the file list. -# If left blank the directory from which doxygen is run is used as the -# path to strip. Note that you specify absolute paths here, but also -# relative paths, which will be relative from the directory where doxygen is -# started. - -STRIP_FROM_PATH = @PROJECT_SOURCE_DIR@/dotnet/ - -# The STRIP_FROM_INC_PATH tag can be used to strip a user-defined part of -# the path mentioned in the documentation of a class, which tells -# the reader which header file to include in order to use a class. -# If left blank only the name of the header file containing the class -# definition is used. Otherwise one should specify the include paths that -# are normally passed to the compiler using the -I flag. - -STRIP_FROM_INC_PATH = @PROJECT_SOURCE_DIR@/dotnet/ - -# If the SHORT_NAMES tag is set to YES, doxygen will generate much shorter -# (but less readable) file names. This can be useful if your file system -# doesn't support long names like on DOS, Mac, or CD-ROM. - -SHORT_NAMES = NO - -# If the JAVADOC_AUTOBRIEF tag is set to YES then Doxygen -# will interpret the first line (until the first dot) of a JavaDoc-style -# comment as the brief description. If set to NO, the JavaDoc -# comments will behave just like regular Qt-style comments -# (thus requiring an explicit @brief command for a brief description.) - -JAVADOC_AUTOBRIEF = NO - -# If the QT_AUTOBRIEF tag is set to YES then Doxygen will -# interpret the first line (until the first dot) of a Qt-style -# comment as the brief description. If set to NO, the comments -# will behave just like regular Qt-style comments (thus requiring -# an explicit \brief command for a brief description.) - -QT_AUTOBRIEF = NO - -# The MULTILINE_CPP_IS_BRIEF tag can be set to YES to make Doxygen -# treat a multi-line C++ special comment block (i.e. a block of //! or /// -# comments) as a brief description. This used to be the default behaviour. -# The new default is to treat a multi-line C++ comment block as a detailed -# description. Set this tag to YES if you prefer the old behaviour instead. - -MULTILINE_CPP_IS_BRIEF = NO - -# If the INHERIT_DOCS tag is set to YES (the default) then an undocumented -# member inherits the documentation from any documented member that it -# re-implements. - -INHERIT_DOCS = YES - -# If the SEPARATE_MEMBER_PAGES tag is set to YES, then doxygen will produce -# a new page for each member. If set to NO, the documentation of a member will -# be part of the file/class/namespace that contains it. - -SEPARATE_MEMBER_PAGES = NO - -# The TAB_SIZE tag can be used to set the number of spaces in a tab. -# Doxygen uses this value to replace tabs by spaces in code fragments. - -TAB_SIZE = 4 - -# This tag can be used to specify a number of aliases that acts -# as commands in the documentation. An alias has the form "name=value". -# For example adding "sideeffect=\par Side Effects:\n" will allow you to -# put the command \sideeffect (or @sideeffect) in the documentation, which -# will result in a user-defined paragraph with heading "Side Effects:". -# You can put \n's in the value part of an alias to insert newlines. - -ALIASES = - -# This tag can be used to specify a number of word-keyword mappings (TCL only). -# A mapping has the form "name=value". For example adding -# "class=itcl::class" will allow you to use the command class in the -# itcl::class meaning. - -TCL_SUBST = - -# Set the OPTIMIZE_OUTPUT_FOR_C tag to YES if your project consists of C -# sources only. Doxygen will then generate output that is more tailored for C. -# For instance, some of the names that are used will be different. The list -# of all members will be omitted, etc. - -OPTIMIZE_OUTPUT_FOR_C = NO - -# Set the OPTIMIZE_OUTPUT_JAVA tag to YES if your project consists of Java -# sources only. Doxygen will then generate output that is more tailored for -# Java. For instance, namespaces will be presented as packages, qualified -# scopes will look different, etc. - -OPTIMIZE_OUTPUT_JAVA = NO - -# Set the OPTIMIZE_FOR_FORTRAN tag to YES if your project consists of Fortran -# sources only. Doxygen will then generate output that is more tailored for -# Fortran. - -OPTIMIZE_FOR_FORTRAN = NO - -# Set the OPTIMIZE_OUTPUT_VHDL tag to YES if your project consists of VHDL -# sources. Doxygen will then generate output that is tailored for -# VHDL. - -OPTIMIZE_OUTPUT_VHDL = NO - -# Doxygen selects the parser to use depending on the extension of the files it -# parses. With this tag you can assign which parser to use for a given -# extension. Doxygen has a built-in mapping, but you can override or extend it -# using this tag. The format is ext=language, where ext is a file extension, -# and language is one of the parsers supported by doxygen: IDL, Java, -# Javascript, CSharp, C, C++, D, PHP, Objective-C, Python, Fortran, VHDL, C, -# C++. For instance to make doxygen treat .inc files as Fortran files (default -# is PHP), and .f files as C (default is Fortran), use: inc=Fortran f=C. Note -# that for custom extensions you also need to set FILE_PATTERNS otherwise the -# files are not read by doxygen. - -EXTENSION_MAPPING = - -# If MARKDOWN_SUPPORT is enabled (the default) then doxygen pre-processes all -# comments according to the Markdown format, which allows for more readable -# documentation. See http://daringfireball.net/projects/markdown/ for details. -# The output of markdown processing is further processed by doxygen, so you -# can mix doxygen, HTML, and XML commands with Markdown formatting. -# Disable only in case of backward compatibilities issues. - -MARKDOWN_SUPPORT = YES - -# When enabled doxygen tries to link words that correspond to documented classes, -# or namespaces to their corresponding documentation. Such a link can be -# prevented in individual cases by by putting a % sign in front of the word or -# globally by setting AUTOLINK_SUPPORT to NO. - -AUTOLINK_SUPPORT = YES - -# If you use STL classes (i.e. std::string, std::vector, etc.) but do not want -# to include (a tag file for) the STL sources as input, then you should -# set this tag to YES in order to let doxygen match functions declarations and -# definitions whose arguments contain STL classes (e.g. func(std::string); v.s. -# func(std::string) {}). This also makes the inheritance and collaboration -# diagrams that involve STL classes more complete and accurate. - -BUILTIN_STL_SUPPORT = NO - -# If you use Microsoft's C++/CLI language, you should set this option to YES to -# enable parsing support. - -CPP_CLI_SUPPORT = YES - -# Set the SIP_SUPPORT tag to YES if your project consists of sip sources only. -# Doxygen will parse them like normal C++ but will assume all classes use public -# instead of private inheritance when no explicit protection keyword is present. - -SIP_SUPPORT = NO - -# For Microsoft's IDL there are propget and propput attributes to indicate getter and setter methods for a property. Setting this option to YES (the default) will make doxygen replace the get and set methods by a property in the documentation. This will only work if the methods are indeed getting or setting a simple type. If this is not the case, or you want to show the methods anyway, you should set this option to NO. - -IDL_PROPERTY_SUPPORT = YES - -# If member grouping is used in the documentation and the DISTRIBUTE_GROUP_DOC -# tag is set to YES, then doxygen will reuse the documentation of the first -# member in the group (if any) for the other members of the group. By default -# all members of a group must be documented explicitly. - -DISTRIBUTE_GROUP_DOC = NO - -# Set the SUBGROUPING tag to YES (the default) to allow class member groups of -# the same type (for instance a group of public functions) to be put as a -# subgroup of that type (e.g. under the Public Functions section). Set it to -# NO to prevent subgrouping. Alternatively, this can be done per class using -# the \nosubgrouping command. - -SUBGROUPING = YES - -# When the INLINE_GROUPED_CLASSES tag is set to YES, classes, structs and -# unions are shown inside the group in which they are included (e.g. using -# @ingroup) instead of on a separate page (for HTML and Man pages) or -# section (for LaTeX and RTF). - -INLINE_GROUPED_CLASSES = NO - -# When the INLINE_SIMPLE_STRUCTS tag is set to YES, structs, classes, and -# unions with only public data fields will be shown inline in the documentation -# of the scope in which they are defined (i.e. file, namespace, or group -# documentation), provided this scope is documented. If set to NO (the default), -# structs, classes, and unions are shown on a separate page (for HTML and Man -# pages) or section (for LaTeX and RTF). - -INLINE_SIMPLE_STRUCTS = NO - -# When TYPEDEF_HIDES_STRUCT is enabled, a typedef of a struct, union, or enum -# is documented as struct, union, or enum with the name of the typedef. So -# typedef struct TypeS {} TypeT, will appear in the documentation as a struct -# with name TypeT. When disabled the typedef will appear as a member of a file, -# namespace, or class. And the struct will be named TypeS. This can typically -# be useful for C code in case the coding convention dictates that all compound -# types are typedef'ed and only the typedef is referenced, never the tag name. - -TYPEDEF_HIDES_STRUCT = NO - -# The size of the symbol lookup cache can be set using LOOKUP_CACHE_SIZE. This -# cache is used to resolve symbols given their name and scope. Since this can be -# an expensive process and often the same symbol appears multiple times in the -# code, doxygen keeps a cache of pre-resolved symbols. If the cache is too small -# doxygen will become slower. If the cache is too large, memory is wasted. The -# cache size is given by this formula: 2^(16+LOOKUP_CACHE_SIZE). The valid range -# is 0..9, the default is 0, corresponding to a cache size of 2^16=65536 -# symbols. At the end of a run doxygen will report the cache usage and suggest -# the optimal cache size from a speed point of view. -# Minimum value: 0, maximum value: 9, default value: 0. - -LOOKUP_CACHE_SIZE = 0 - -#--------------------------------------------------------------------------- -# Build related configuration options -#--------------------------------------------------------------------------- - -# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in -# documentation are documented, even if no documentation was available. -# Private class members and static file members will be hidden unless -# the EXTRACT_PRIVATE and EXTRACT_STATIC tags are set to YES - -EXTRACT_ALL = YES - -# If the EXTRACT_PRIVATE tag is set to YES all private members of a class -# will be included in the documentation. - -EXTRACT_PRIVATE = NO - -# If the EXTRACT_PACKAGE tag is set to YES all members with package or internal -# scope will be included in the documentation. - -EXTRACT_PACKAGE = NO - -# If the EXTRACT_STATIC tag is set to YES all static members of a file -# will be included in the documentation. - -EXTRACT_STATIC = YES - -# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs) -# defined locally in source files will be included in the documentation. -# If set to NO only classes defined in header files are included. - -EXTRACT_LOCAL_CLASSES = YES - -# This flag is only useful for Objective-C code. When set to YES local -# methods, which are defined in the implementation section but not in -# the interface are included in the documentation. -# If set to NO (the default) only methods in the interface are included. - -EXTRACT_LOCAL_METHODS = NO - -# If this flag is set to YES, the members of anonymous namespaces will be -# extracted and appear in the documentation as a namespace called -# 'anonymous_namespace{file}', where file will be replaced with the base -# name of the file that contains the anonymous namespace. By default -# anonymous namespaces are hidden. - -EXTRACT_ANON_NSPACES = NO - -# If the HIDE_UNDOC_MEMBERS tag is set to YES, Doxygen will hide all -# undocumented members of documented classes, files or namespaces. -# If set to NO (the default) these members will be included in the -# various overviews, but no documentation section is generated. -# This option has no effect if EXTRACT_ALL is enabled. - -HIDE_UNDOC_MEMBERS = NO - -# If the HIDE_UNDOC_CLASSES tag is set to YES, Doxygen will hide all -# undocumented classes that are normally visible in the class hierarchy. -# If set to NO (the default) these classes will be included in the various -# overviews. This option has no effect if EXTRACT_ALL is enabled. - -HIDE_UNDOC_CLASSES = NO - -# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, Doxygen will hide all -# friend (class|struct|union) declarations. -# If set to NO (the default) these declarations will be included in the -# documentation. - -HIDE_FRIEND_COMPOUNDS = NO - -# If the HIDE_IN_BODY_DOCS tag is set to YES, Doxygen will hide any -# documentation blocks found inside the body of a function. -# If set to NO (the default) these blocks will be appended to the -# function's detailed documentation block. - -HIDE_IN_BODY_DOCS = NO - -# The INTERNAL_DOCS tag determines if documentation -# that is typed after a \internal command is included. If the tag is set -# to NO (the default) then the documentation will be excluded. -# Set it to YES to include the internal documentation. - -INTERNAL_DOCS = NO - -# If the CASE_SENSE_NAMES tag is set to NO then Doxygen will only generate -# file names in lower-case letters. If set to YES upper-case letters are also -# allowed. This is useful if you have classes or files whose names only differ -# in case and if your file system supports case sensitive file names. Windows -# and Mac users are advised to set this option to NO. - -CASE_SENSE_NAMES = YES - -# If the HIDE_SCOPE_NAMES tag is set to NO (the default) then Doxygen -# will show members with their full class and namespace scopes in the -# documentation. If set to YES the scope will be hidden. - -HIDE_SCOPE_NAMES = NO - -# If the SHOW_INCLUDE_FILES tag is set to YES (the default) then Doxygen -# will put a list of the files that are included by a file in the documentation -# of that file. - -SHOW_INCLUDE_FILES = YES - -# If the FORCE_LOCAL_INCLUDES tag is set to YES then Doxygen -# will list include files with double quotes in the documentation -# rather than with sharp brackets. - -FORCE_LOCAL_INCLUDES = NO - -# If the INLINE_INFO tag is set to YES (the default) then a tag [inline] -# is inserted in the documentation for inline members. - -INLINE_INFO = YES - -# If the SORT_MEMBER_DOCS tag is set to YES (the default) then doxygen -# will sort the (detailed) documentation of file and class members -# alphabetically by member name. If set to NO the members will appear in -# declaration order. - -SORT_MEMBER_DOCS = NO - -# If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the -# brief documentation of file, namespace and class members alphabetically -# by member name. If set to NO (the default) the members will appear in -# declaration order. - -SORT_BRIEF_DOCS = NO - -# If the SORT_MEMBERS_CTORS_1ST tag is set to YES then doxygen -# will sort the (brief and detailed) documentation of class members so that -# constructors and destructors are listed first. If set to NO (the default) -# the constructors will appear in the respective orders defined by -# SORT_MEMBER_DOCS and SORT_BRIEF_DOCS. -# This tag will be ignored for brief docs if SORT_BRIEF_DOCS is set to NO -# and ignored for detailed docs if SORT_MEMBER_DOCS is set to NO. - -SORT_MEMBERS_CTORS_1ST = NO - -# If the SORT_GROUP_NAMES tag is set to YES then doxygen will sort the -# hierarchy of group names into alphabetical order. If set to NO (the default) -# the group names will appear in their defined order. - -SORT_GROUP_NAMES = NO - -# If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be -# sorted by fully-qualified names, including namespaces. If set to -# NO (the default), the class list will be sorted only by class name, -# not including the namespace part. -# Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES. -# Note: This option applies only to the class list, not to the -# alphabetical list. - -SORT_BY_SCOPE_NAME = NO - -# If the STRICT_PROTO_MATCHING option is enabled and doxygen fails to -# do proper type resolution of all parameters of a function it will reject a -# match between the prototype and the implementation of a member function even -# if there is only one candidate or it is obvious which candidate to choose -# by doing a simple string match. By disabling STRICT_PROTO_MATCHING doxygen -# will still accept a match between prototype and implementation in such cases. - -STRICT_PROTO_MATCHING = NO - -# The GENERATE_TODOLIST tag can be used to enable (YES) or -# disable (NO) the todo list. This list is created by putting \todo -# commands in the documentation. - -GENERATE_TODOLIST = YES - -# The GENERATE_TESTLIST tag can be used to enable (YES) or -# disable (NO) the test list. This list is created by putting \test -# commands in the documentation. - -GENERATE_TESTLIST = YES - -# The GENERATE_BUGLIST tag can be used to enable (YES) or -# disable (NO) the bug list. This list is created by putting \bug -# commands in the documentation. - -GENERATE_BUGLIST = YES - -# The GENERATE_DEPRECATEDLIST tag can be used to enable (YES) or -# disable (NO) the deprecated list. This list is created by putting -# \deprecated commands in the documentation. - -GENERATE_DEPRECATEDLIST= YES - -# The ENABLED_SECTIONS tag can be used to enable conditional -# documentation sections, marked by \if sectionname ... \endif. - -ENABLED_SECTIONS = - -# The MAX_INITIALIZER_LINES tag determines the maximum number of lines -# the initial value of a variable or macro consists of for it to appear in -# the documentation. If the initializer consists of more lines than specified -# here it will be hidden. Use a value of 0 to hide initializers completely. -# The appearance of the initializer of individual variables and macros in the -# documentation can be controlled using \showinitializer or \hideinitializer -# command in the documentation regardless of this setting. - -MAX_INITIALIZER_LINES = 30 - -# Set the SHOW_USED_FILES tag to NO to disable the list of files generated -# at the bottom of the documentation of classes and structs. If set to YES the -# list will mention the files that were used to generate the documentation. - -SHOW_USED_FILES = YES - -# Set the SHOW_FILES tag to NO to disable the generation of the Files page. -# This will remove the Files entry from the Quick Index and from the -# Folder Tree View (if specified). The default is YES. - -SHOW_FILES = YES - -# Set the SHOW_NAMESPACES tag to NO to disable the generation of the -# Namespaces page. -# This will remove the Namespaces entry from the Quick Index -# and from the Folder Tree View (if specified). The default is YES. - -SHOW_NAMESPACES = YES - -# The FILE_VERSION_FILTER tag can be used to specify a program or script that -# doxygen should invoke to get the current version for each file (typically from -# the version control system). Doxygen will invoke the program by executing (via -# popen()) the command , where is the value of -# the FILE_VERSION_FILTER tag, and is the name of an input file -# provided by doxygen. Whatever the program writes to standard output -# is used as the file version. See the manual for examples. - -FILE_VERSION_FILTER = - -# The LAYOUT_FILE tag can be used to specify a layout file which will be parsed -# by doxygen. The layout file controls the global structure of the generated -# output files in an output format independent way. To create the layout file -# that represents doxygen's defaults, run doxygen with the -l option. -# You can optionally specify a file name after the option, if omitted -# DoxygenLayout.xml will be used as the name of the layout file. - -LAYOUT_FILE = - -# The CITE_BIB_FILES tag can be used to specify one or more bib files -# containing the references data. This must be a list of .bib files. The -# .bib extension is automatically appended if omitted. Using this command -# requires the bibtex tool to be installed. See also -# http://en.wikipedia.org/wiki/BibTeX for more info. For LaTeX the style -# of the bibliography can be controlled using LATEX_BIB_STYLE. To use this -# feature you need bibtex and perl available in the search path. - -CITE_BIB_FILES = - -#--------------------------------------------------------------------------- -# configuration options related to warning and progress messages -#--------------------------------------------------------------------------- - -# The QUIET tag can be used to turn on/off the messages that are generated -# by doxygen. Possible values are YES and NO. If left blank NO is used. - -QUIET = NO - -# The WARNINGS tag can be used to turn on/off the warning messages that are -# generated by doxygen. Possible values are YES and NO. If left blank -# NO is used. - -WARNINGS = YES - -# If WARN_IF_UNDOCUMENTED is set to YES, then doxygen will generate warnings -# for undocumented members. If EXTRACT_ALL is set to YES then this flag will -# automatically be disabled. - -WARN_IF_UNDOCUMENTED = YES - -# If WARN_IF_DOC_ERROR is set to YES, doxygen will generate warnings for -# potential errors in the documentation, such as not documenting some -# parameters in a documented function, or documenting parameters that -# don't exist or using markup commands wrongly. - -WARN_IF_DOC_ERROR = YES - -# The WARN_NO_PARAMDOC option can be enabled to get warnings for -# functions that are documented, but have no documentation for their parameters -# or return value. If set to NO (the default) doxygen will only warn about -# wrong or incomplete parameter documentation, but not about the absence of -# documentation. - -WARN_NO_PARAMDOC = NO - -# The WARN_FORMAT tag determines the format of the warning messages that -# doxygen can produce. The string should contain the $file, $line, and $text -# tags, which will be replaced by the file and line number from which the -# warning originated and the warning text. Optionally the format may contain -# $version, which will be replaced by the version of the file (if it could -# be obtained via FILE_VERSION_FILTER) - -WARN_FORMAT = "$file:$line: $text" - -# The WARN_LOGFILE tag can be used to specify a file to which warning -# and error messages should be written. If left blank the output is written -# to stderr. - -WARN_LOGFILE = - -#--------------------------------------------------------------------------- -# configuration options related to the input files -#--------------------------------------------------------------------------- - -# The INPUT tag can be used to specify the files and/or directories that contain -# documented source files. You may enter file names like "myfile.cpp" or -# directories like "/usr/src/myproject". Separate the files or directories -# with spaces. - -INPUT = @PROJECT_SOURCE_DIR@/dotnet/NETGeographicLib \ - @PROJECT_SOURCE_DIR@/doc/NETGeographicLib.dox - -# This tag can be used to specify the character encoding of the source files -# that doxygen parses. Internally doxygen uses the UTF-8 encoding, which is -# also the default input encoding. Doxygen uses libiconv (or the iconv built -# into libc) for the transcoding. See http://www.gnu.org/software/libiconv for -# the list of possible encodings. - -INPUT_ENCODING = UTF-8 - -# If the value of the INPUT tag contains directories, you can use the -# FILE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp -# and *.h) to filter out the source-files in the directories. If left -# blank the following patterns are tested: -# *.c *.cc *.cxx *.cpp *.c++ *.d *.java *.ii *.ixx *.ipp *.i++ *.inl *.h *.hh -# *.hxx *.hpp *.h++ *.idl *.odl *.cs *.php *.php3 *.inc *.m *.mm *.dox *.py -# *.f90 *.f *.for *.vhd *.vhdl - -FILE_PATTERNS = [A-Za-z]*.h - -# The RECURSIVE tag can be used to turn specify whether or not subdirectories -# should be searched for input files as well. Possible values are YES and NO. -# If left blank NO is used. - -RECURSIVE = NO - -# The EXCLUDE tag can be used to specify files and/or directories that should be -# excluded from the INPUT source files. This way you can easily exclude a -# subdirectory from a directory tree whose root is specified with the INPUT tag. -# Note that relative paths are relative to the directory from which doxygen is -# run. - -EXCLUDE = - -# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or -# directories that are symbolic links (a Unix file system feature) are excluded -# from the input. - -EXCLUDE_SYMLINKS = NO - -# If the value of the INPUT tag contains directories, you can use the -# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude -# certain files from those directories. Note that the wildcards are matched -# against the file with absolute path, so to exclude all test directories -# for example use the pattern */test/* - -EXCLUDE_PATTERNS = - -# The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names -# (namespaces, classes, functions, etc.) that should be excluded from the -# output. The symbol name can be a fully qualified name, a word, or if the -# wildcard * is used, a substring. Examples: ANamespace, AClass, -# AClass::ANamespace, ANamespace::*Test - -EXCLUDE_SYMBOLS = - -# The EXAMPLE_PATH tag can be used to specify one or more files or -# directories that contain example code fragments that are included (see -# the \include command). - -EXAMPLE_PATH = @PROJECT_SOURCE_DIR@/dotnet/examples/CS \ - @PROJECT_SOURCE_DIR@/dotnet/examples/ManagedCPP \ - @PROJECT_SOURCE_DIR@/dotnet/examples/VB - -# If the value of the EXAMPLE_PATH tag contains directories, you can use the -# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp -# and *.h) to filter out the source-files in the directories. If left -# blank all files are included. - -EXAMPLE_PATTERNS = - -# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be -# searched for input files to be used with the \include or \dontinclude -# commands irrespective of the value of the RECURSIVE tag. -# Possible values are YES and NO. If left blank NO is used. - -EXAMPLE_RECURSIVE = NO - -# The IMAGE_PATH tag can be used to specify one or more files or -# directories that contain image that are included in the documentation (see -# the \image command). - -IMAGE_PATH = @PROJECT_SOURCE_DIR@/doc - -# The INPUT_FILTER tag can be used to specify a program that doxygen should -# invoke to filter for each input file. Doxygen will invoke the filter program -# by executing (via popen()) the command , where -# is the value of the INPUT_FILTER tag, and is the name of an -# input file. Doxygen will then use the output that the filter program writes -# to standard output. -# If FILTER_PATTERNS is specified, this tag will be -# ignored. - -INPUT_FILTER = - -# The FILTER_PATTERNS tag can be used to specify filters on a per file pattern -# basis. -# Doxygen will compare the file name with each pattern and apply the -# filter if there is a match. -# The filters are a list of the form: -# pattern=filter (like *.cpp=my_cpp_filter). See INPUT_FILTER for further -# info on how filters are used. If FILTER_PATTERNS is empty or if -# non of the patterns match the file name, INPUT_FILTER is applied. - -FILTER_PATTERNS = - -# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using -# INPUT_FILTER) will be used to filter the input files when producing source -# files to browse (i.e. when SOURCE_BROWSER is set to YES). - -FILTER_SOURCE_FILES = NO - -# The FILTER_SOURCE_PATTERNS tag can be used to specify source filters per file -# pattern. A pattern will override the setting for FILTER_PATTERN (if any) -# and it is also possible to disable source filtering for a specific pattern -# using *.ext= (so without naming a filter). This option only has effect when -# FILTER_SOURCE_FILES is enabled. - -FILTER_SOURCE_PATTERNS = - -#--------------------------------------------------------------------------- -# configuration options related to source browsing -#--------------------------------------------------------------------------- - -# If the SOURCE_BROWSER tag is set to YES then a list of source files will -# be generated. Documented entities will be cross-referenced with these sources. -# Note: To get rid of all source code in the generated output, make sure also -# VERBATIM_HEADERS is set to NO. - -SOURCE_BROWSER = YES - -# Setting the INLINE_SOURCES tag to YES will include the body -# of functions and classes directly in the documentation. - -INLINE_SOURCES = NO - -# Setting the STRIP_CODE_COMMENTS tag to YES (the default) will instruct -# doxygen to hide any special comment blocks from generated source code -# fragments. Normal C, C++ and Fortran comments will always remain visible. - -STRIP_CODE_COMMENTS = NO - -# If the REFERENCED_BY_RELATION tag is set to YES -# then for each documented function all documented -# functions referencing it will be listed. - -REFERENCED_BY_RELATION = YES - -# If the REFERENCES_RELATION tag is set to YES -# then for each documented function all documented entities -# called/used by that function will be listed. - -REFERENCES_RELATION = YES - -# If the REFERENCES_LINK_SOURCE tag is set to YES (the default) -# and SOURCE_BROWSER tag is set to YES, then the hyperlinks from -# functions in REFERENCES_RELATION and REFERENCED_BY_RELATION lists will -# link to the source code. -# Otherwise they will link to the documentation. - -REFERENCES_LINK_SOURCE = YES - -# If the USE_HTAGS tag is set to YES then the references to source code -# will point to the HTML generated by the htags(1) tool instead of doxygen -# built-in source browser. The htags tool is part of GNU's global source -# tagging system (see http://www.gnu.org/software/global/global.html). You -# will need version 4.8.6 or higher. - -USE_HTAGS = NO - -# If the VERBATIM_HEADERS tag is set to YES (the default) then Doxygen -# will generate a verbatim copy of the header file for each class for -# which an include is specified. Set to NO to disable this. - -VERBATIM_HEADERS = YES - -#--------------------------------------------------------------------------- -# configuration options related to the alphabetical class index -#--------------------------------------------------------------------------- - -# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index -# of all compounds will be generated. Enable this if the project -# contains a lot of classes, structs, unions or interfaces. - -ALPHABETICAL_INDEX = NO - -# If the alphabetical index is enabled (see ALPHABETICAL_INDEX) then -# the COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns -# in which this list will be split (can be a number in the range [1..20]) - -COLS_IN_ALPHA_INDEX = 5 - -# In case all classes in a project start with a common prefix, all -# classes will be put under the same header in the alphabetical index. -# The IGNORE_PREFIX tag can be used to specify one or more prefixes that -# should be ignored while generating the index headers. - -IGNORE_PREFIX = - -#--------------------------------------------------------------------------- -# configuration options related to the HTML output -#--------------------------------------------------------------------------- - -# If the GENERATE_HTML tag is set to YES (the default) Doxygen will -# generate HTML output. - -GENERATE_HTML = YES - -# The HTML_OUTPUT tag is used to specify where the HTML docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `html' will be used as the default path. - -HTML_OUTPUT = html/NET - -# The HTML_FILE_EXTENSION tag can be used to specify the file extension for -# each generated HTML page (for example: .htm,.php,.asp). If it is left blank -# doxygen will generate files with .html extension. - -HTML_FILE_EXTENSION = .html - -# The HTML_HEADER tag can be used to specify a personal HTML header for -# each generated HTML page. If it is left blank doxygen will generate a -# standard header. Note that when using a custom header you are responsible -# for the proper inclusion of any scripts and style sheets that doxygen -# needs, which is dependent on the configuration options used. -# It is advised to generate a default header using "doxygen -w html -# header.html footer.html stylesheet.css YourConfigFile" and then modify -# that header. Note that the header is subject to change so you typically -# have to redo this when upgrading to a newer version of doxygen or when -# changing the value of configuration settings such as GENERATE_TREEVIEW! - -HTML_HEADER = - -# The HTML_FOOTER tag can be used to specify a personal HTML footer for -# each generated HTML page. If it is left blank doxygen will generate a -# standard footer. - -HTML_FOOTER = - -# The HTML_STYLESHEET tag can be used to specify a user-defined cascading -# style sheet that is used by each HTML page. It can be used to -# fine-tune the look of the HTML output. If left blank doxygen will -# generate a default style sheet. Note that it is recommended to use -# HTML_EXTRA_STYLESHEET instead of this one, as it is more robust and this -# tag will in the future become obsolete. - -HTML_STYLESHEET = - -# The HTML_EXTRA_STYLESHEET tag can be used to specify an additional -# user-defined cascading style sheet that is included after the standard -# style sheets created by doxygen. Using this option one can overrule -# certain style aspects. This is preferred over using HTML_STYLESHEET -# since it does not replace the standard style sheet and is therefor more -# robust against future updates. Doxygen will copy the style sheet file to -# the output directory. - -HTML_EXTRA_STYLESHEET = - -# The HTML_EXTRA_FILES tag can be used to specify one or more extra images or -# other source files which should be copied to the HTML output directory. Note -# that these files will be copied to the base HTML output directory. Use the -# $relpath$ marker in the HTML_HEADER and/or HTML_FOOTER files to load these -# files. In the HTML_STYLESHEET file, use the file name only. Also note that -# the files will be copied as-is; there are no commands or markers available. - -HTML_EXTRA_FILES = - -# The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. -# Doxygen will adjust the colors in the style sheet and background images -# according to this color. Hue is specified as an angle on a colorwheel, -# see http://en.wikipedia.org/wiki/Hue for more information. -# For instance the value 0 represents red, 60 is yellow, 120 is green, -# 180 is cyan, 240 is blue, 300 purple, and 360 is red again. -# The allowed range is 0 to 359. - -HTML_COLORSTYLE_HUE = 220 - -# The HTML_COLORSTYLE_SAT tag controls the purity (or saturation) of -# the colors in the HTML output. For a value of 0 the output will use -# grayscales only. A value of 255 will produce the most vivid colors. - -HTML_COLORSTYLE_SAT = 100 - -# The HTML_COLORSTYLE_GAMMA tag controls the gamma correction applied to -# the luminance component of the colors in the HTML output. Values below -# 100 gradually make the output lighter, whereas values above 100 make -# the output darker. The value divided by 100 is the actual gamma applied, -# so 80 represents a gamma of 0.8, The value 220 represents a gamma of 2.2, -# and 100 does not change the gamma. - -HTML_COLORSTYLE_GAMMA = 80 - -# If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML -# page will contain the date and time when the page was generated. Setting -# this to NO can help when comparing the output of multiple runs. - -HTML_TIMESTAMP = NO - -# If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML -# documentation will contain sections that can be hidden and shown after the -# page has loaded. - -HTML_DYNAMIC_SECTIONS = NO - -# With HTML_INDEX_NUM_ENTRIES one can control the preferred number of -# entries shown in the various tree structured indices initially; the user -# can expand and collapse entries dynamically later on. Doxygen will expand -# the tree to such a level that at most the specified number of entries are -# visible (unless a fully collapsed tree already exceeds this amount). -# So setting the number of entries 1 will produce a full collapsed tree by -# default. 0 is a special value representing an infinite number of entries -# and will result in a full expanded tree by default. - -HTML_INDEX_NUM_ENTRIES = 100 - -# If the GENERATE_DOCSET tag is set to YES, additional index files -# will be generated that can be used as input for Apple's Xcode 3 -# integrated development environment, introduced with OSX 10.5 (Leopard). -# To create a documentation set, doxygen will generate a Makefile in the -# HTML output directory. Running make will produce the docset in that -# directory and running "make install" will install the docset in -# ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find -# it at startup. -# See http://developer.apple.com/tools/creatingdocsetswithdoxygen.html -# for more information. - -GENERATE_DOCSET = NO - -# When GENERATE_DOCSET tag is set to YES, this tag determines the name of the -# feed. A documentation feed provides an umbrella under which multiple -# documentation sets from a single provider (such as a company or product suite) -# can be grouped. - -DOCSET_FEEDNAME = "Doxygen generated docs" - -# When GENERATE_DOCSET tag is set to YES, this tag specifies a string that -# should uniquely identify the documentation set bundle. This should be a -# reverse domain-name style string, e.g. com.mycompany.MyDocSet. Doxygen -# will append .docset to the name. - -DOCSET_BUNDLE_ID = org.doxygen.Project - -# When GENERATE_PUBLISHER_ID tag specifies a string that should uniquely -# identify the documentation publisher. This should be a reverse domain-name -# style string, e.g. com.mycompany.MyDocSet.documentation. - -DOCSET_PUBLISHER_ID = org.doxygen.Publisher - -# The GENERATE_PUBLISHER_NAME tag identifies the documentation publisher. - -DOCSET_PUBLISHER_NAME = Publisher - -# If the GENERATE_HTMLHELP tag is set to YES, additional index files -# will be generated that can be used as input for tools like the -# Microsoft HTML help workshop to generate a compiled HTML help file (.chm) -# of the generated HTML documentation. - -GENERATE_HTMLHELP = NO - -# If the GENERATE_HTMLHELP tag is set to YES, the CHM_FILE tag can -# be used to specify the file name of the resulting .chm file. You -# can add a path in front of the file if the result should not be -# written to the html output directory. - -CHM_FILE = - -# If the GENERATE_HTMLHELP tag is set to YES, the HHC_LOCATION tag can -# be used to specify the location (absolute path including file name) of -# the HTML help compiler (hhc.exe). If non-empty doxygen will try to run -# the HTML help compiler on the generated index.hhp. - -HHC_LOCATION = - -# If the GENERATE_HTMLHELP tag is set to YES, the GENERATE_CHI flag -# controls if a separate .chi index file is generated (YES) or that -# it should be included in the master .chm file (NO). - -GENERATE_CHI = NO - -# If the GENERATE_HTMLHELP tag is set to YES, the CHM_INDEX_ENCODING -# is used to encode HtmlHelp index (hhk), content (hhc) and project file -# content. - -CHM_INDEX_ENCODING = - -# If the GENERATE_HTMLHELP tag is set to YES, the BINARY_TOC flag -# controls whether a binary table of contents is generated (YES) or a -# normal table of contents (NO) in the .chm file. - -BINARY_TOC = NO - -# The TOC_EXPAND flag can be set to YES to add extra items for group members -# to the contents of the HTML help documentation and to the tree view. - -TOC_EXPAND = NO - -# If the GENERATE_QHP tag is set to YES and both QHP_NAMESPACE and -# QHP_VIRTUAL_FOLDER are set, an additional index file will be generated -# that can be used as input for Qt's qhelpgenerator to generate a -# Qt Compressed Help (.qch) of the generated HTML documentation. - -GENERATE_QHP = NO - -# If the QHG_LOCATION tag is specified, the QCH_FILE tag can -# be used to specify the file name of the resulting .qch file. -# The path specified is relative to the HTML output folder. - -QCH_FILE = - -# The QHP_NAMESPACE tag specifies the namespace to use when generating -# Qt Help Project output. For more information please see -# http://doc.trolltech.com/qthelpproject.html#namespace - -QHP_NAMESPACE = org.doxygen.Project - -# The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating -# Qt Help Project output. For more information please see -# http://doc.trolltech.com/qthelpproject.html#virtual-folders - -QHP_VIRTUAL_FOLDER = doc - -# If QHP_CUST_FILTER_NAME is set, it specifies the name of a custom filter to -# add. For more information please see -# http://doc.trolltech.com/qthelpproject.html#custom-filters - -QHP_CUST_FILTER_NAME = - -# The QHP_CUST_FILT_ATTRS tag specifies the list of the attributes of the -# custom filter to add. For more information please see -# -# Qt Help Project / Custom Filters. - -QHP_CUST_FILTER_ATTRS = - -# The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this -# project's -# filter section matches. -# -# Qt Help Project / Filter Attributes. - -QHP_SECT_FILTER_ATTRS = - -# If the GENERATE_QHP tag is set to YES, the QHG_LOCATION tag can -# be used to specify the location of Qt's qhelpgenerator. -# If non-empty doxygen will try to run qhelpgenerator on the generated -# .qhp file. - -QHG_LOCATION = - -# If the GENERATE_ECLIPSEHELP tag is set to YES, additional index files -# will be generated, which together with the HTML files, form an Eclipse help -# plugin. To install this plugin and make it available under the help contents -# menu in Eclipse, the contents of the directory containing the HTML and XML -# files needs to be copied into the plugins directory of eclipse. The name of -# the directory within the plugins directory should be the same as -# the ECLIPSE_DOC_ID value. After copying Eclipse needs to be restarted before -# the help appears. - -GENERATE_ECLIPSEHELP = NO - -# A unique identifier for the eclipse help plugin. When installing the plugin -# the directory name containing the HTML and XML files should also have -# this name. - -ECLIPSE_DOC_ID = org.doxygen.Project - -# The DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) -# at top of each HTML page. The value NO (the default) enables the index and -# the value YES disables it. Since the tabs have the same information as the -# navigation tree you can set this option to NO if you already set -# GENERATE_TREEVIEW to YES. - -DISABLE_INDEX = NO - -# The GENERATE_TREEVIEW tag is used to specify whether a tree-like index -# structure should be generated to display hierarchical information. -# If the tag value is set to YES, a side panel will be generated -# containing a tree-like index structure (just like the one that -# is generated for HTML Help). For this to work a browser that supports -# JavaScript, DHTML, CSS and frames is required (i.e. any modern browser). -# Windows users are probably better off using the HTML help feature. -# Since the tree basically has the same information as the tab index you -# could consider to set DISABLE_INDEX to NO when enabling this option. - -GENERATE_TREEVIEW = NO - -# The ENUM_VALUES_PER_LINE tag can be used to set the number of enum values -# (range [0,1..20]) that doxygen will group on one line in the generated HTML -# documentation. Note that a value of 0 will completely suppress the enum -# values from appearing in the overview section. - -ENUM_VALUES_PER_LINE = 4 - -# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be -# used to set the initial width (in pixels) of the frame in which the tree -# is shown. - -TREEVIEW_WIDTH = 250 - -# When the EXT_LINKS_IN_WINDOW option is set to YES doxygen will open -# links to external symbols imported via tag files in a separate window. - -EXT_LINKS_IN_WINDOW = NO - -# Use this tag to change the font size of Latex formulas included -# as images in the HTML documentation. The default is 10. Note that -# when you change the font size after a successful doxygen run you need -# to manually remove any form_*.png images from the HTML output directory -# to force them to be regenerated. - -FORMULA_FONTSIZE = 10 - -# Use the FORMULA_TRANPARENT tag to determine whether or not the images -# generated for formulas are transparent PNGs. Transparent PNGs are -# not supported properly for IE 6.0, but are supported on all modern browsers. -# Note that when changing this option you need to delete any form_*.png files -# in the HTML output before the changes have effect. - -FORMULA_TRANSPARENT = YES - -# Enable the USE_MATHJAX option to render LaTeX formulas using MathJax -# (see http://www.mathjax.org) which uses client side Javascript for the -# rendering instead of using prerendered bitmaps. Use this if you do not -# have LaTeX installed or if you want to formulas look prettier in the HTML -# output. When enabled you may also need to install MathJax separately and -# configure the path to it using the MATHJAX_RELPATH option. - -USE_MATHJAX = YES - -# When MathJax is enabled you need to specify the location relative to the -# HTML output directory using the MATHJAX_RELPATH option. The destination -# directory should contain the MathJax.js script. For instance, if the mathjax -# directory is located at the same level as the HTML output directory, then -# MATHJAX_RELPATH should be ../mathjax. The default value points to -# the MathJax Content Delivery Network so you can quickly see the result without -# installing MathJax. -# However, it is strongly recommended to install a local -# copy of MathJax from http://www.mathjax.org before deployment. - -MATHJAX_RELPATH = https://geographiclib.sourceforge.io/MathJax-2.7.2 - -# The MATHJAX_EXTENSIONS tag can be used to specify one or MathJax extension -# names that should be enabled during MathJax rendering. - -MATHJAX_EXTENSIONS = - -# When the SEARCHENGINE tag is enabled doxygen will generate a search box -# for the HTML output. The underlying search engine uses javascript -# and DHTML and should work on any modern browser. Note that when using -# HTML help (GENERATE_HTMLHELP), Qt help (GENERATE_QHP), or docsets -# (GENERATE_DOCSET) there is already a search function so this one should -# typically be disabled. For large projects the javascript based search engine -# can be slow, then enabling SERVER_BASED_SEARCH may provide a better solution. - -SEARCHENGINE = YES - -# When the SERVER_BASED_SEARCH tag is enabled the search engine will be -# implemented using a PHP enabled web server instead of at the web client -# using Javascript. Doxygen will generate the search PHP script and index -# file to put on the web server. The advantage of the server -# based approach is that it scales better to large projects and allows -# full text search. The disadvantages are that it is more difficult to setup -# and does not have live searching capabilities. - -SERVER_BASED_SEARCH = NO - -#--------------------------------------------------------------------------- -# configuration options related to the LaTeX output -#--------------------------------------------------------------------------- - -# If the GENERATE_LATEX tag is set to YES (the default) Doxygen will -# generate Latex output. - -GENERATE_LATEX = NO - -# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `latex' will be used as the default path. - -LATEX_OUTPUT = latex - -# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be -# invoked. If left blank `latex' will be used as the default command name. -# Note that when enabling USE_PDFLATEX this option is only used for -# generating bitmaps for formulas in the HTML output, but not in the -# Makefile that is written to the output directory. - -LATEX_CMD_NAME = latex - -# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to -# generate index for LaTeX. If left blank `makeindex' will be used as the -# default command name. - -MAKEINDEX_CMD_NAME = makeindex - -# If the COMPACT_LATEX tag is set to YES Doxygen generates more compact -# LaTeX documents. This may be useful for small projects and may help to -# save some trees in general. - -COMPACT_LATEX = NO - -# The PAPER_TYPE tag can be used to set the paper type that is used -# by the printer. Possible values are: a4, letter, legal and -# executive. If left blank a4wide will be used. - -PAPER_TYPE = a4wide - -# The EXTRA_PACKAGES tag can be to specify one or more names of LaTeX -# packages that should be included in the LaTeX output. - -EXTRA_PACKAGES = - -# The LATEX_HEADER tag can be used to specify a personal LaTeX header for -# the generated latex document. The header should contain everything until -# the first chapter. If it is left blank doxygen will generate a -# standard header. Notice: only use this tag if you know what you are doing! - -LATEX_HEADER = - -# The LATEX_FOOTER tag can be used to specify a personal LaTeX footer for -# the generated latex document. The footer should contain everything after -# the last chapter. If it is left blank doxygen will generate a -# standard footer. Notice: only use this tag if you know what you are doing! - -LATEX_FOOTER = - -# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated -# is prepared for conversion to pdf (using ps2pdf). The pdf file will -# contain links (just like the HTML output) instead of page references -# This makes the output suitable for online browsing using a pdf viewer. - -PDF_HYPERLINKS = NO - -# If the USE_PDFLATEX tag is set to YES, pdflatex will be used instead of -# plain latex in the generated Makefile. Set this option to YES to get a -# higher quality PDF documentation. - -USE_PDFLATEX = NO - -# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \\batchmode. -# command to the generated LaTeX files. This will instruct LaTeX to keep -# running if errors occur, instead of asking the user for help. -# This option is also used when generating formulas in HTML. - -LATEX_BATCHMODE = NO - -# If LATEX_HIDE_INDICES is set to YES then doxygen will not -# include the index chapters (such as File Index, Compound Index, etc.) -# in the output. - -LATEX_HIDE_INDICES = NO - -# If LATEX_SOURCE_CODE is set to YES then doxygen will include -# source code with syntax highlighting in the LaTeX output. -# Note that which sources are shown also depends on other settings -# such as SOURCE_BROWSER. - -LATEX_SOURCE_CODE = NO - -# The LATEX_BIB_STYLE tag can be used to specify the style to use for the -# bibliography, e.g. plainnat, or ieeetr. The default style is "plain". See -# http://en.wikipedia.org/wiki/BibTeX for more info. - -LATEX_BIB_STYLE = plain - -#--------------------------------------------------------------------------- -# configuration options related to the RTF output -#--------------------------------------------------------------------------- - -# If the GENERATE_RTF tag is set to YES Doxygen will generate RTF output -# The RTF output is optimized for Word 97 and may not look very pretty with -# other RTF readers or editors. - -GENERATE_RTF = NO - -# The RTF_OUTPUT tag is used to specify where the RTF docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `rtf' will be used as the default path. - -RTF_OUTPUT = rtf - -# If the COMPACT_RTF tag is set to YES Doxygen generates more compact -# RTF documents. This may be useful for small projects and may help to -# save some trees in general. - -COMPACT_RTF = NO - -# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated -# will contain hyperlink fields. The RTF file will -# contain links (just like the HTML output) instead of page references. -# This makes the output suitable for online browsing using WORD or other -# programs which support those fields. -# Note: wordpad (write) and others do not support links. - -RTF_HYPERLINKS = NO - -# Load style sheet definitions from file. Syntax is similar to doxygen's -# config file, i.e. a series of assignments. You only have to provide -# replacements, missing definitions are set to their default value. - -RTF_STYLESHEET_FILE = - -# Set optional variables used in the generation of an rtf document. -# Syntax is similar to doxygen's config file. - -RTF_EXTENSIONS_FILE = - -#--------------------------------------------------------------------------- -# configuration options related to the man page output -#--------------------------------------------------------------------------- - -# If the GENERATE_MAN tag is set to YES (the default) Doxygen will -# generate man pages - -GENERATE_MAN = NO - -# The MAN_OUTPUT tag is used to specify where the man pages will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `man' will be used as the default path. - -MAN_OUTPUT = man - -# The MAN_EXTENSION tag determines the extension that is added to -# the generated man pages (default is the subroutine's section .3) - -MAN_EXTENSION = .3 - -# If the MAN_LINKS tag is set to YES and Doxygen generates man output, -# then it will generate one additional man file for each entity -# documented in the real man page(s). These additional files -# only source the real man page, but without them the man command -# would be unable to find the correct page. The default is NO. - -MAN_LINKS = NO - -#--------------------------------------------------------------------------- -# configuration options related to the XML output -#--------------------------------------------------------------------------- - -# If the GENERATE_XML tag is set to YES Doxygen will -# generate an XML file that captures the structure of -# the code including all documentation. - -GENERATE_XML = NO - -# The XML_OUTPUT tag is used to specify where the XML pages will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `xml' will be used as the default path. - -XML_OUTPUT = xml - -# If the XML_PROGRAMLISTING tag is set to YES Doxygen will -# dump the program listings (including syntax highlighting -# and cross-referencing information) to the XML output. Note that -# enabling this will significantly increase the size of the XML output. - -XML_PROGRAMLISTING = YES - -#--------------------------------------------------------------------------- -# configuration options for the AutoGen Definitions output -#--------------------------------------------------------------------------- - -# If the GENERATE_AUTOGEN_DEF tag is set to YES Doxygen will -# generate an AutoGen Definitions (see autogen.sf.net) file -# that captures the structure of the code including all -# documentation. Note that this feature is still experimental -# and incomplete at the moment. - -GENERATE_AUTOGEN_DEF = NO - -#--------------------------------------------------------------------------- -# configuration options related to the Perl module output -#--------------------------------------------------------------------------- - -# If the GENERATE_PERLMOD tag is set to YES Doxygen will -# generate a Perl module file that captures the structure of -# the code including all documentation. Note that this -# feature is still experimental and incomplete at the -# moment. - -GENERATE_PERLMOD = NO - -# If the PERLMOD_LATEX tag is set to YES Doxygen will generate -# the necessary Makefile rules, Perl scripts and LaTeX code to be able -# to generate PDF and DVI output from the Perl module output. - -PERLMOD_LATEX = NO - -# If the PERLMOD_PRETTY tag is set to YES the Perl module output will be -# nicely formatted so it can be parsed by a human reader. -# This is useful -# if you want to understand what is going on. -# On the other hand, if this -# tag is set to NO the size of the Perl module output will be much smaller -# and Perl will parse it just the same. - -PERLMOD_PRETTY = YES - -# The names of the make variables in the generated doxyrules.make file -# are prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX. -# This is useful so different doxyrules.make files included by the same -# Makefile don't overwrite each other's variables. - -PERLMOD_MAKEVAR_PREFIX = - -#--------------------------------------------------------------------------- -# Configuration options related to the preprocessor -#--------------------------------------------------------------------------- - -# If the ENABLE_PREPROCESSING tag is set to YES (the default) Doxygen will -# evaluate all C-preprocessor directives found in the sources and include -# files. - -ENABLE_PREPROCESSING = YES - -# If the MACRO_EXPANSION tag is set to YES Doxygen will expand all macro -# names in the source code. If set to NO (the default) only conditional -# compilation will be performed. Macro expansion can be done in a controlled -# way by setting EXPAND_ONLY_PREDEF to YES. - -MACRO_EXPANSION = NO - -# If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES -# then the macro expansion is limited to the macros specified with the -# PREDEFINED and EXPAND_AS_DEFINED tags. - -EXPAND_ONLY_PREDEF = NO - -# If the SEARCH_INCLUDES tag is set to YES (the default) the includes files -# pointed to by INCLUDE_PATH will be searched when a #include is found. - -SEARCH_INCLUDES = YES - -# The INCLUDE_PATH tag can be used to specify one or more directories that -# contain include files that are not input files but should be processed by -# the preprocessor. - -INCLUDE_PATH = - -# You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard -# patterns (like *.h and *.hpp) to filter out the header-files in the -# directories. If left blank, the patterns specified with FILE_PATTERNS will -# be used. - -INCLUDE_FILE_PATTERNS = - -# The PREDEFINED tag can be used to specify one or more macro names that -# are defined before the preprocessor is started (similar to the -D option of -# gcc). The argument of the tag is a list of macros of the form: name -# or name=definition (no spaces). If the definition and the = are -# omitted =1 is assumed. To prevent a macro definition from being -# undefined via #undef or recursively expanded use the := operator -# instead of the = operator. - -PREDEFINED = DOXYGEN - -# If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then -# this tag can be used to specify a list of macro names that should be expanded. -# The macro definition that is found in the sources will be used. -# Use the PREDEFINED tag if you want to use a different macro definition that -# overrules the definition found in the source code. - -EXPAND_AS_DEFINED = - -# If the SKIP_FUNCTION_MACROS tag is set to YES (the default) then -# doxygen's preprocessor will remove all references to function-like macros -# that are alone on a line, have an all uppercase name, and do not end with a -# semicolon, because these will confuse the parser if not removed. - -SKIP_FUNCTION_MACROS = YES - -#--------------------------------------------------------------------------- -# Configuration::additions related to external references -#--------------------------------------------------------------------------- - -# The TAGFILES option can be used to specify one or more tagfiles. For each -# tag file the location of the external documentation should be added. The -# format of a tag file without this location is as follows: -# -# TAGFILES = file1 file2 ... -# Adding location for the tag files is done as follows: -# -# TAGFILES = file1=loc1 "file2 = loc2" ... -# where "loc1" and "loc2" can be relative or absolute paths -# or URLs. Note that each tag file must have a unique name (where the name does -# NOT include the path). If a tag file is not located in the directory in which -# doxygen is run, you must also specify the path to the tagfile here. - -TAGFILES = html/GeographicLib.tag=.. - -# When a file name is specified after GENERATE_TAGFILE, doxygen will create -# a tag file that is based on the input files it reads. - -GENERATE_TAGFILE = html/NET/NETGeographicLib.tag - -# If the ALLEXTERNALS tag is set to YES all external classes will be listed -# in the class index. If set to NO only the inherited external classes -# will be listed. - -ALLEXTERNALS = NO - -# If the EXTERNAL_GROUPS tag is set to YES all external groups will be listed -# in the modules index. If set to NO, only the current project's groups will -# be listed. - -EXTERNAL_GROUPS = YES - -# The PERL_PATH should be the absolute path and name of the perl script -# interpreter (i.e. the result of `which perl'). - -PERL_PATH = /usr/bin/perl - -#--------------------------------------------------------------------------- -# Configuration options related to the dot tool -#--------------------------------------------------------------------------- - -# If the CLASS_DIAGRAMS tag is set to YES (the default) Doxygen will -# generate a inheritance diagram (in HTML, RTF and LaTeX) for classes with base -# or super classes. Setting the tag to NO turns the diagrams off. Note that -# this option also works with HAVE_DOT disabled, but it is recommended to -# install and use dot, since it yields more powerful graphs. - -CLASS_DIAGRAMS = YES - -# You can define message sequence charts within doxygen comments using the \msc -# command. Doxygen will then run the mscgen tool (see -# http://www.mcternan.me.uk/mscgen/) to produce the chart and insert it in the -# documentation. The MSCGEN_PATH tag allows you to specify the directory where -# the mscgen tool resides. If left empty the tool is assumed to be found in the -# default search path. - -MSCGEN_PATH = - -# If set to YES, the inheritance and collaboration graphs will hide -# inheritance and usage relations if the target is undocumented -# or is not a class. - -HIDE_UNDOC_RELATIONS = YES - -# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is -# available from the path. This tool is part of Graphviz, a graph visualization -# toolkit from AT&T and Lucent Bell Labs. The other options in this section -# have no effect if this option is set to NO (the default) - -HAVE_DOT = NO - -# The DOT_NUM_THREADS specifies the number of dot invocations doxygen is -# allowed to run in parallel. When set to 0 (the default) doxygen will -# base this on the number of processors available in the system. You can set it -# explicitly to a value larger than 0 to get control over the balance -# between CPU load and processing speed. - -DOT_NUM_THREADS = 0 - -# By default doxygen will use the Helvetica font for all dot files that -# doxygen generates. When you want a differently looking font you can specify -# the font name using DOT_FONTNAME. You need to make sure dot is able to find -# the font, which can be done by putting it in a standard location or by setting -# the DOTFONTPATH environment variable or by setting DOT_FONTPATH to the -# directory containing the font. - -DOT_FONTNAME = Helvetica - -# The DOT_FONTSIZE tag can be used to set the size of the font of dot graphs. -# The default size is 10pt. - -DOT_FONTSIZE = 10 - -# By default doxygen will tell dot to use the Helvetica font. -# If you specify a different font using DOT_FONTNAME you can use DOT_FONTPATH to -# set the path where dot can find it. - -DOT_FONTPATH = - -# If the CLASS_GRAPH and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for each documented class showing the direct and -# indirect inheritance relations. Setting this tag to YES will force the -# CLASS_DIAGRAMS tag to NO. - -CLASS_GRAPH = YES - -# If the COLLABORATION_GRAPH and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for each documented class showing the direct and -# indirect implementation dependencies (inheritance, containment, and -# class references variables) of the class with other documented classes. - -COLLABORATION_GRAPH = YES - -# If the GROUP_GRAPHS and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for groups, showing the direct groups dependencies - -GROUP_GRAPHS = YES - -# If the UML_LOOK tag is set to YES doxygen will generate inheritance and -# collaboration diagrams in a style similar to the OMG's Unified Modeling -# Language. - -UML_LOOK = NO - -# If the UML_LOOK tag is enabled, the fields and methods are shown inside -# the class node. If there are many fields or methods and many nodes the -# graph may become too big to be useful. The UML_LIMIT_NUM_FIELDS -# threshold limits the number of items for each type to make the size more -# managable. Set this to 0 for no limit. Note that the threshold may be -# exceeded by 50% before the limit is enforced. - -UML_LIMIT_NUM_FIELDS = 10 - -# If set to YES, the inheritance and collaboration graphs will show the -# relations between templates and their instances. - -TEMPLATE_RELATIONS = NO - -# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDE_GRAPH, and HAVE_DOT -# tags are set to YES then doxygen will generate a graph for each documented -# file showing the direct and indirect include dependencies of the file with -# other documented files. - -INCLUDE_GRAPH = YES - -# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDED_BY_GRAPH, and -# HAVE_DOT tags are set to YES then doxygen will generate a graph for each -# documented header file showing the documented files that directly or -# indirectly include this file. - -INCLUDED_BY_GRAPH = YES - -# If the CALL_GRAPH and HAVE_DOT options are set to YES then -# doxygen will generate a call dependency graph for every global function -# or class method. Note that enabling this option will significantly increase -# the time of a run. So in most cases it will be better to enable call graphs -# for selected functions only using the \callgraph command. - -CALL_GRAPH = NO - -# If the CALLER_GRAPH and HAVE_DOT tags are set to YES then -# doxygen will generate a caller dependency graph for every global function -# or class method. Note that enabling this option will significantly increase -# the time of a run. So in most cases it will be better to enable caller -# graphs for selected functions only using the \callergraph command. - -CALLER_GRAPH = NO - -# If the GRAPHICAL_HIERARCHY and HAVE_DOT tags are set to YES then doxygen -# will generate a graphical hierarchy of all classes instead of a textual one. - -GRAPHICAL_HIERARCHY = YES - -# If the DIRECTORY_GRAPH and HAVE_DOT tags are set to YES -# then doxygen will show the dependencies a directory has on other directories -# in a graphical way. The dependency relations are determined by the #include -# relations between the files in the directories. - -DIRECTORY_GRAPH = YES - -# The DOT_IMAGE_FORMAT tag can be used to set the image format of the images -# generated by dot. Possible values are svg, png, jpg, or gif. -# If left blank png will be used. If you choose svg you need to set -# HTML_FILE_EXTENSION to xhtml in order to make the SVG files -# visible in IE 9+ (other browsers do not have this requirement). - -DOT_IMAGE_FORMAT = png - -# If DOT_IMAGE_FORMAT is set to svg, then this option can be set to YES to -# enable generation of interactive SVG images that allow zooming and panning. -# Note that this requires a modern browser other than Internet Explorer. -# Tested and working are Firefox, Chrome, Safari, and Opera. For IE 9+ you -# need to set HTML_FILE_EXTENSION to xhtml in order to make the SVG files -# visible. Older versions of IE do not have SVG support. - -INTERACTIVE_SVG = NO - -# The tag DOT_PATH can be used to specify the path where the dot tool can be -# found. If left blank, it is assumed the dot tool can be found in the path. - -DOT_PATH = - -# The DOTFILE_DIRS tag can be used to specify one or more directories that -# contain dot files that are included in the documentation (see the -# \dotfile command). - -DOTFILE_DIRS = - -# The MSCFILE_DIRS tag can be used to specify one or more directories that -# contain msc files that are included in the documentation (see the -# \mscfile command). - -MSCFILE_DIRS = - -# The DOT_GRAPH_MAX_NODES tag can be used to set the maximum number of -# nodes that will be shown in the graph. If the number of nodes in a graph -# becomes larger than this value, doxygen will truncate the graph, which is -# visualized by representing a node as a red box. Note that doxygen if the -# number of direct children of the root node in a graph is already larger than -# DOT_GRAPH_MAX_NODES then the graph will not be shown at all. Also note -# that the size of a graph can be further restricted by MAX_DOT_GRAPH_DEPTH. - -DOT_GRAPH_MAX_NODES = 50 - -# The MAX_DOT_GRAPH_DEPTH tag can be used to set the maximum depth of the -# graphs generated by dot. A depth value of 3 means that only nodes reachable -# from the root by following a path via at most 3 edges will be shown. Nodes -# that lay further from the root node will be omitted. Note that setting this -# option to 1 or 2 may greatly reduce the computation time needed for large -# code bases. Also note that the size of a graph can be further restricted by -# DOT_GRAPH_MAX_NODES. Using a depth of 0 means no depth restriction. - -MAX_DOT_GRAPH_DEPTH = 0 - -# Set the DOT_TRANSPARENT tag to YES to generate images with a transparent -# background. This is disabled by default, because dot on Windows does not -# seem to support this out of the box. Warning: Depending on the platform used, -# enabling this option may lead to badly anti-aliased labels on the edges of -# a graph (i.e. they become hard to read). - -DOT_TRANSPARENT = NO - -# Set the DOT_MULTI_TARGETS tag to YES allow dot to generate multiple output -# files in one run (i.e. multiple -o and -T options on the command line). This -# makes dot run faster, but since only newer versions of dot (>1.8.10) -# support this, this feature is disabled by default. - -DOT_MULTI_TARGETS = NO - -# If the GENERATE_LEGEND tag is set to YES (the default) Doxygen will -# generate a legend page explaining the meaning of the various boxes and -# arrows in the dot generated graphs. - -GENERATE_LEGEND = YES - -# If the DOT_CLEANUP tag is set to YES (the default) Doxygen will -# remove the intermediate dot files that are used to generate -# the various graphs. - -DOT_CLEANUP = YES diff --git a/libs/GeographicLib-1.50.1/doc/doxyfile.in b/libs/GeographicLib-1.50.1/doc/doxyfile.in deleted file mode 100644 index 7a3fa6ee8de55a836345d9ed2e8c247713e8fcad..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/doxyfile.in +++ /dev/null @@ -1,1788 +0,0 @@ -# Doxyfile 1.8.2 - -# This file describes the settings to be used by the documentation system -# doxygen (www.doxygen.org) for a project. -# -# All text after a hash (#) is considered a comment and will be ignored. -# The format is: -# TAG = value [value, ...] -# For lists items can also be appended using: -# TAG += value [value, ...] -# Values that contain spaces should be placed between quotes (" "). - -#--------------------------------------------------------------------------- -# Project related configuration options -#--------------------------------------------------------------------------- - -# This tag specifies the encoding used for all characters in the config file -# that follow. The default is UTF-8 which is also the encoding used for all -# text before the first occurrence of this tag. Doxygen uses libiconv (or the -# iconv built into libc) for the transcoding. See -# http://www.gnu.org/software/libiconv for the list of possible encodings. - -DOXYFILE_ENCODING = UTF-8 - -# The PROJECT_NAME tag is a single word (or sequence of words) that should -# identify the project. Note that if you do not use Doxywizard you need -# to put quotes around the project name if it contains spaces. - -PROJECT_NAME = GeographicLib - -# The PROJECT_NUMBER tag can be used to enter a project or revision number. -# This could be handy for archiving the generated documentation or -# if some version control system is used. - -PROJECT_NUMBER = @PROJECT_VERSION@ - -# Using the PROJECT_BRIEF tag one can provide an optional one line description -# for a project that appears at the top of each page and should give viewer -# a quick idea about the purpose of the project. Keep the description short. - -PROJECT_BRIEF = - -# With the PROJECT_LOGO tag one can specify an logo or icon that is -# included in the documentation. The maximum height of the logo should not -# exceed 55 pixels and the maximum width should not exceed 200 pixels. -# Doxygen will copy the logo to the output directory. - -PROJECT_LOGO = - -# The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) -# base path where the generated documentation will be put. -# If a relative path is entered, it will be relative to the location -# where doxygen was started. If left blank the current directory will be used. - -OUTPUT_DIRECTORY = - -# If the CREATE_SUBDIRS tag is set to YES, then doxygen will create -# 4096 sub-directories (in 2 levels) under the output directory of each output -# format and will distribute the generated files over these directories. -# Enabling this option can be useful when feeding doxygen a huge amount of -# source files, where putting all generated files in the same directory would -# otherwise cause performance problems for the file system. - -CREATE_SUBDIRS = NO - -# The OUTPUT_LANGUAGE tag is used to specify the language in which all -# documentation generated by doxygen is written. Doxygen will use this -# information to generate all constant output in the proper language. -# The default language is English, other supported languages are: -# Afrikaans, Arabic, Brazilian, Catalan, Chinese, Chinese-Traditional, -# Croatian, Czech, Danish, Dutch, Esperanto, Farsi, Finnish, French, German, -# Greek, Hungarian, Italian, Japanese, Japanese-en (Japanese with English -# messages), Korean, Korean-en, Lithuanian, Norwegian, Macedonian, Persian, -# Polish, Portuguese, Romanian, Russian, Serbian, Serbian-Cyrillic, Slovak, -# Slovene, Spanish, Swedish, Ukrainian, and Vietnamese. - -OUTPUT_LANGUAGE = English - -# If the BRIEF_MEMBER_DESC tag is set to YES (the default) Doxygen will -# include brief member descriptions after the members that are listed in -# the file and class documentation (similar to JavaDoc). -# Set to NO to disable this. - -BRIEF_MEMBER_DESC = YES - -# If the REPEAT_BRIEF tag is set to YES (the default) Doxygen will prepend -# the brief description of a member or function before the detailed description. -# Note: if both HIDE_UNDOC_MEMBERS and BRIEF_MEMBER_DESC are set to NO, the -# brief descriptions will be completely suppressed. - -REPEAT_BRIEF = YES - -# This tag implements a quasi-intelligent brief description abbreviator -# that is used to form the text in various listings. Each string -# in this list, if found as the leading text of the brief description, will be -# stripped from the text and the result after processing the whole list, is -# used as the annotated text. Otherwise, the brief description is used as-is. -# If left blank, the following values are used ("$name" is automatically -# replaced with the name of the entity): "The $name class" "The $name widget" -# "The $name file" "is" "provides" "specifies" "contains" -# "represents" "a" "an" "the" - -ABBREVIATE_BRIEF = - -# If the ALWAYS_DETAILED_SEC and REPEAT_BRIEF tags are both set to YES then -# Doxygen will generate a detailed section even if there is only a brief -# description. - -ALWAYS_DETAILED_SEC = NO - -# If the INLINE_INHERITED_MEMB tag is set to YES, doxygen will show all -# inherited members of a class in the documentation of that class as if those -# members were ordinary class members. Constructors, destructors and assignment -# operators of the base classes will not be shown. - -INLINE_INHERITED_MEMB = NO - -# If the FULL_PATH_NAMES tag is set to YES then Doxygen will prepend the full -# path before files name in the file list and in the header files. If set -# to NO the shortest path that makes the file name unique will be used. - -FULL_PATH_NAMES = NO - -# If the FULL_PATH_NAMES tag is set to YES then the STRIP_FROM_PATH tag -# can be used to strip a user-defined part of the path. Stripping is -# only done if one of the specified strings matches the left-hand part of -# the path. The tag can be used to show relative paths in the file list. -# If left blank the directory from which doxygen is run is used as the -# path to strip. Note that you specify absolute paths here, but also -# relative paths, which will be relative from the directory where doxygen is -# started. - -STRIP_FROM_PATH = @PROJECT_SOURCE_DIR@/ - -# The STRIP_FROM_INC_PATH tag can be used to strip a user-defined part of -# the path mentioned in the documentation of a class, which tells -# the reader which header file to include in order to use a class. -# If left blank only the name of the header file containing the class -# definition is used. Otherwise one should specify the include paths that -# are normally passed to the compiler using the -I flag. - -STRIP_FROM_INC_PATH = @PROJECT_SOURCE_DIR@/include/ \ - @PROJECT_SOURCE_DIR@/examples/ - -# If the SHORT_NAMES tag is set to YES, doxygen will generate much shorter -# (but less readable) file names. This can be useful if your file system -# doesn't support long names like on DOS, Mac, or CD-ROM. - -SHORT_NAMES = NO - -# If the JAVADOC_AUTOBRIEF tag is set to YES then Doxygen -# will interpret the first line (until the first dot) of a JavaDoc-style -# comment as the brief description. If set to NO, the JavaDoc -# comments will behave just like regular Qt-style comments -# (thus requiring an explicit @brief command for a brief description.) - -JAVADOC_AUTOBRIEF = NO - -# If the QT_AUTOBRIEF tag is set to YES then Doxygen will -# interpret the first line (until the first dot) of a Qt-style -# comment as the brief description. If set to NO, the comments -# will behave just like regular Qt-style comments (thus requiring -# an explicit \brief command for a brief description.) - -QT_AUTOBRIEF = NO - -# The MULTILINE_CPP_IS_BRIEF tag can be set to YES to make Doxygen -# treat a multi-line C++ special comment block (i.e. a block of //! or /// -# comments) as a brief description. This used to be the default behaviour. -# The new default is to treat a multi-line C++ comment block as a detailed -# description. Set this tag to YES if you prefer the old behaviour instead. - -MULTILINE_CPP_IS_BRIEF = NO - -# If the INHERIT_DOCS tag is set to YES (the default) then an undocumented -# member inherits the documentation from any documented member that it -# re-implements. - -INHERIT_DOCS = YES - -# If the SEPARATE_MEMBER_PAGES tag is set to YES, then doxygen will produce -# a new page for each member. If set to NO, the documentation of a member will -# be part of the file/class/namespace that contains it. - -SEPARATE_MEMBER_PAGES = NO - -# The TAB_SIZE tag can be used to set the number of spaces in a tab. -# Doxygen uses this value to replace tabs by spaces in code fragments. - -TAB_SIZE = 8 - -# This tag can be used to specify a number of aliases that acts -# as commands in the documentation. An alias has the form "name=value". -# For example adding "sideeffect=\par Side Effects:\n" will allow you to -# put the command \sideeffect (or @sideeffect) in the documentation, which -# will result in a user-defined paragraph with heading "Side Effects:". -# You can put \n's in the value part of an alias to insert newlines. - -ALIASES = - -# This tag can be used to specify a number of word-keyword mappings (TCL only). -# A mapping has the form "name=value". For example adding -# "class=itcl::class" will allow you to use the command class in the -# itcl::class meaning. - -TCL_SUBST = - -# Set the OPTIMIZE_OUTPUT_FOR_C tag to YES if your project consists of C -# sources only. Doxygen will then generate output that is more tailored for C. -# For instance, some of the names that are used will be different. The list -# of all members will be omitted, etc. - -OPTIMIZE_OUTPUT_FOR_C = NO - -# Set the OPTIMIZE_OUTPUT_JAVA tag to YES if your project consists of Java -# sources only. Doxygen will then generate output that is more tailored for -# Java. For instance, namespaces will be presented as packages, qualified -# scopes will look different, etc. - -OPTIMIZE_OUTPUT_JAVA = NO - -# Set the OPTIMIZE_FOR_FORTRAN tag to YES if your project consists of Fortran -# sources only. Doxygen will then generate output that is more tailored for -# Fortran. - -OPTIMIZE_FOR_FORTRAN = NO - -# Set the OPTIMIZE_OUTPUT_VHDL tag to YES if your project consists of VHDL -# sources. Doxygen will then generate output that is tailored for -# VHDL. - -OPTIMIZE_OUTPUT_VHDL = NO - -# Doxygen selects the parser to use depending on the extension of the files it -# parses. With this tag you can assign which parser to use for a given -# extension. Doxygen has a built-in mapping, but you can override or extend it -# using this tag. The format is ext=language, where ext is a file extension, -# and language is one of the parsers supported by doxygen: IDL, Java, -# Javascript, CSharp, C, C++, D, PHP, Objective-C, Python, Fortran, VHDL, C, -# C++. For instance to make doxygen treat .inc files as Fortran files (default -# is PHP), and .f files as C (default is Fortran), use: inc=Fortran f=C. Note -# that for custom extensions you also need to set FILE_PATTERNS otherwise the -# files are not read by doxygen. - -EXTENSION_MAPPING = - -# If MARKDOWN_SUPPORT is enabled (the default) then doxygen pre-processes all -# comments according to the Markdown format, which allows for more readable -# documentation. See http://daringfireball.net/projects/markdown/ for details. -# The output of markdown processing is further processed by doxygen, so you -# can mix doxygen, HTML, and XML commands with Markdown formatting. -# Disable only in case of backward compatibilities issues. - -MARKDOWN_SUPPORT = YES - -# When enabled doxygen tries to link words that correspond to documented classes, -# or namespaces to their corresponding documentation. Such a link can be -# prevented in individual cases by by putting a % sign in front of the word or -# globally by setting AUTOLINK_SUPPORT to NO. - -AUTOLINK_SUPPORT = YES - -# If you use STL classes (i.e. std::string, std::vector, etc.) but do not want -# to include (a tag file for) the STL sources as input, then you should -# set this tag to YES in order to let doxygen match functions declarations and -# definitions whose arguments contain STL classes (e.g. func(std::string); v.s. -# func(std::string) {}). This also makes the inheritance and collaboration -# diagrams that involve STL classes more complete and accurate. - -BUILTIN_STL_SUPPORT = NO - -# If you use Microsoft's C++/CLI language, you should set this option to YES to -# enable parsing support. - -CPP_CLI_SUPPORT = NO - -# Set the SIP_SUPPORT tag to YES if your project consists of sip sources only. -# Doxygen will parse them like normal C++ but will assume all classes use public -# instead of private inheritance when no explicit protection keyword is present. - -SIP_SUPPORT = NO - -# For Microsoft's IDL there are propget and propput attributes to indicate getter and setter methods for a property. Setting this option to YES (the default) will make doxygen replace the get and set methods by a property in the documentation. This will only work if the methods are indeed getting or setting a simple type. If this is not the case, or you want to show the methods anyway, you should set this option to NO. - -IDL_PROPERTY_SUPPORT = YES - -# If member grouping is used in the documentation and the DISTRIBUTE_GROUP_DOC -# tag is set to YES, then doxygen will reuse the documentation of the first -# member in the group (if any) for the other members of the group. By default -# all members of a group must be documented explicitly. - -DISTRIBUTE_GROUP_DOC = NO - -# Set the SUBGROUPING tag to YES (the default) to allow class member groups of -# the same type (for instance a group of public functions) to be put as a -# subgroup of that type (e.g. under the Public Functions section). Set it to -# NO to prevent subgrouping. Alternatively, this can be done per class using -# the \nosubgrouping command. - -SUBGROUPING = YES - -# When the INLINE_GROUPED_CLASSES tag is set to YES, classes, structs and -# unions are shown inside the group in which they are included (e.g. using -# @ingroup) instead of on a separate page (for HTML and Man pages) or -# section (for LaTeX and RTF). - -INLINE_GROUPED_CLASSES = NO - -# When the INLINE_SIMPLE_STRUCTS tag is set to YES, structs, classes, and -# unions with only public data fields will be shown inline in the documentation -# of the scope in which they are defined (i.e. file, namespace, or group -# documentation), provided this scope is documented. If set to NO (the default), -# structs, classes, and unions are shown on a separate page (for HTML and Man -# pages) or section (for LaTeX and RTF). - -INLINE_SIMPLE_STRUCTS = NO - -# When TYPEDEF_HIDES_STRUCT is enabled, a typedef of a struct, union, or enum -# is documented as struct, union, or enum with the name of the typedef. So -# typedef struct TypeS {} TypeT, will appear in the documentation as a struct -# with name TypeT. When disabled the typedef will appear as a member of a file, -# namespace, or class. And the struct will be named TypeS. This can typically -# be useful for C code in case the coding convention dictates that all compound -# types are typedef'ed and only the typedef is referenced, never the tag name. - -TYPEDEF_HIDES_STRUCT = NO - -# The size of the symbol lookup cache can be set using LOOKUP_CACHE_SIZE. This -# cache is used to resolve symbols given their name and scope. Since this can be -# an expensive process and often the same symbol appears multiple times in the -# code, doxygen keeps a cache of pre-resolved symbols. If the cache is too small -# doxygen will become slower. If the cache is too large, memory is wasted. The -# cache size is given by this formula: 2^(16+LOOKUP_CACHE_SIZE). The valid range -# is 0..9, the default is 0, corresponding to a cache size of 2^16=65536 -# symbols. At the end of a run doxygen will report the cache usage and suggest -# the optimal cache size from a speed point of view. -# Minimum value: 0, maximum value: 9, default value: 0. - -LOOKUP_CACHE_SIZE = 0 - -#--------------------------------------------------------------------------- -# Build related configuration options -#--------------------------------------------------------------------------- - -# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in -# documentation are documented, even if no documentation was available. -# Private class members and static file members will be hidden unless -# the EXTRACT_PRIVATE and EXTRACT_STATIC tags are set to YES - -EXTRACT_ALL = YES - -# If the EXTRACT_PRIVATE tag is set to YES all private members of a class -# will be included in the documentation. - -EXTRACT_PRIVATE = NO - -# If the EXTRACT_PACKAGE tag is set to YES all members with package or internal -# scope will be included in the documentation. - -EXTRACT_PACKAGE = NO - -# If the EXTRACT_STATIC tag is set to YES all static members of a file -# will be included in the documentation. - -EXTRACT_STATIC = YES - -# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs) -# defined locally in source files will be included in the documentation. -# If set to NO only classes defined in header files are included. - -EXTRACT_LOCAL_CLASSES = NO - -# This flag is only useful for Objective-C code. When set to YES local -# methods, which are defined in the implementation section but not in -# the interface are included in the documentation. -# If set to NO (the default) only methods in the interface are included. - -EXTRACT_LOCAL_METHODS = NO - -# If this flag is set to YES, the members of anonymous namespaces will be -# extracted and appear in the documentation as a namespace called -# 'anonymous_namespace{file}', where file will be replaced with the base -# name of the file that contains the anonymous namespace. By default -# anonymous namespaces are hidden. - -EXTRACT_ANON_NSPACES = NO - -# If the HIDE_UNDOC_MEMBERS tag is set to YES, Doxygen will hide all -# undocumented members of documented classes, files or namespaces. -# If set to NO (the default) these members will be included in the -# various overviews, but no documentation section is generated. -# This option has no effect if EXTRACT_ALL is enabled. - -HIDE_UNDOC_MEMBERS = NO - -# If the HIDE_UNDOC_CLASSES tag is set to YES, Doxygen will hide all -# undocumented classes that are normally visible in the class hierarchy. -# If set to NO (the default) these classes will be included in the various -# overviews. This option has no effect if EXTRACT_ALL is enabled. - -HIDE_UNDOC_CLASSES = NO - -# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, Doxygen will hide all -# friend (class|struct|union) declarations. -# If set to NO (the default) these declarations will be included in the -# documentation. - -HIDE_FRIEND_COMPOUNDS = NO - -# If the HIDE_IN_BODY_DOCS tag is set to YES, Doxygen will hide any -# documentation blocks found inside the body of a function. -# If set to NO (the default) these blocks will be appended to the -# function's detailed documentation block. - -HIDE_IN_BODY_DOCS = NO - -# The INTERNAL_DOCS tag determines if documentation -# that is typed after a \internal command is included. If the tag is set -# to NO (the default) then the documentation will be excluded. -# Set it to YES to include the internal documentation. - -INTERNAL_DOCS = NO - -# If the CASE_SENSE_NAMES tag is set to NO then Doxygen will only generate -# file names in lower-case letters. If set to YES upper-case letters are also -# allowed. This is useful if you have classes or files whose names only differ -# in case and if your file system supports case sensitive file names. Windows -# and Mac users are advised to set this option to NO. - -CASE_SENSE_NAMES = YES - -# If the HIDE_SCOPE_NAMES tag is set to NO (the default) then Doxygen -# will show members with their full class and namespace scopes in the -# documentation. If set to YES the scope will be hidden. - -HIDE_SCOPE_NAMES = NO - -# If the SHOW_INCLUDE_FILES tag is set to YES (the default) then Doxygen -# will put a list of the files that are included by a file in the documentation -# of that file. - -SHOW_INCLUDE_FILES = YES - -# If the FORCE_LOCAL_INCLUDES tag is set to YES then Doxygen -# will list include files with double quotes in the documentation -# rather than with sharp brackets. - -FORCE_LOCAL_INCLUDES = NO - -# If the INLINE_INFO tag is set to YES (the default) then a tag [inline] -# is inserted in the documentation for inline members. - -INLINE_INFO = YES - -# If the SORT_MEMBER_DOCS tag is set to YES (the default) then doxygen -# will sort the (detailed) documentation of file and class members -# alphabetically by member name. If set to NO the members will appear in -# declaration order. - -SORT_MEMBER_DOCS = NO - -# If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the -# brief documentation of file, namespace and class members alphabetically -# by member name. If set to NO (the default) the members will appear in -# declaration order. - -SORT_BRIEF_DOCS = NO - -# If the SORT_MEMBERS_CTORS_1ST tag is set to YES then doxygen -# will sort the (brief and detailed) documentation of class members so that -# constructors and destructors are listed first. If set to NO (the default) -# the constructors will appear in the respective orders defined by -# SORT_MEMBER_DOCS and SORT_BRIEF_DOCS. -# This tag will be ignored for brief docs if SORT_BRIEF_DOCS is set to NO -# and ignored for detailed docs if SORT_MEMBER_DOCS is set to NO. - -SORT_MEMBERS_CTORS_1ST = NO - -# If the SORT_GROUP_NAMES tag is set to YES then doxygen will sort the -# hierarchy of group names into alphabetical order. If set to NO (the default) -# the group names will appear in their defined order. - -SORT_GROUP_NAMES = NO - -# If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be -# sorted by fully-qualified names, including namespaces. If set to -# NO (the default), the class list will be sorted only by class name, -# not including the namespace part. -# Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES. -# Note: This option applies only to the class list, not to the -# alphabetical list. - -SORT_BY_SCOPE_NAME = NO - -# If the STRICT_PROTO_MATCHING option is enabled and doxygen fails to -# do proper type resolution of all parameters of a function it will reject a -# match between the prototype and the implementation of a member function even -# if there is only one candidate or it is obvious which candidate to choose -# by doing a simple string match. By disabling STRICT_PROTO_MATCHING doxygen -# will still accept a match between prototype and implementation in such cases. - -STRICT_PROTO_MATCHING = NO - -# The GENERATE_TODOLIST tag can be used to enable (YES) or -# disable (NO) the todo list. This list is created by putting \todo -# commands in the documentation. - -GENERATE_TODOLIST = YES - -# The GENERATE_TESTLIST tag can be used to enable (YES) or -# disable (NO) the test list. This list is created by putting \test -# commands in the documentation. - -GENERATE_TESTLIST = YES - -# The GENERATE_BUGLIST tag can be used to enable (YES) or -# disable (NO) the bug list. This list is created by putting \bug -# commands in the documentation. - -GENERATE_BUGLIST = YES - -# The GENERATE_DEPRECATEDLIST tag can be used to enable (YES) or -# disable (NO) the deprecated list. This list is created by putting -# \deprecated commands in the documentation. - -GENERATE_DEPRECATEDLIST= YES - -# The ENABLED_SECTIONS tag can be used to enable conditional -# documentation sections, marked by \if sectionname ... \endif. - -ENABLED_SECTIONS = - -# The MAX_INITIALIZER_LINES tag determines the maximum number of lines -# the initial value of a variable or macro consists of for it to appear in -# the documentation. If the initializer consists of more lines than specified -# here it will be hidden. Use a value of 0 to hide initializers completely. -# The appearance of the initializer of individual variables and macros in the -# documentation can be controlled using \showinitializer or \hideinitializer -# command in the documentation regardless of this setting. - -MAX_INITIALIZER_LINES = 30 - -# Set the SHOW_USED_FILES tag to NO to disable the list of files generated -# at the bottom of the documentation of classes and structs. If set to YES the -# list will mention the files that were used to generate the documentation. - -SHOW_USED_FILES = YES - -# Set the SHOW_FILES tag to NO to disable the generation of the Files page. -# This will remove the Files entry from the Quick Index and from the -# Folder Tree View (if specified). The default is YES. - -SHOW_FILES = YES - -# Set the SHOW_NAMESPACES tag to NO to disable the generation of the -# Namespaces page. -# This will remove the Namespaces entry from the Quick Index -# and from the Folder Tree View (if specified). The default is YES. - -SHOW_NAMESPACES = YES - -# The FILE_VERSION_FILTER tag can be used to specify a program or script that -# doxygen should invoke to get the current version for each file (typically from -# the version control system). Doxygen will invoke the program by executing (via -# popen()) the command , where is the value of -# the FILE_VERSION_FILTER tag, and is the name of an input file -# provided by doxygen. Whatever the program writes to standard output -# is used as the file version. See the manual for examples. - -FILE_VERSION_FILTER = - -# The LAYOUT_FILE tag can be used to specify a layout file which will be parsed -# by doxygen. The layout file controls the global structure of the generated -# output files in an output format independent way. To create the layout file -# that represents doxygen's defaults, run doxygen with the -l option. -# You can optionally specify a file name after the option, if omitted -# DoxygenLayout.xml will be used as the name of the layout file. - -LAYOUT_FILE = - -# The CITE_BIB_FILES tag can be used to specify one or more bib files -# containing the references data. This must be a list of .bib files. The -# .bib extension is automatically appended if omitted. Using this command -# requires the bibtex tool to be installed. See also -# http://en.wikipedia.org/wiki/BibTeX for more info. For LaTeX the style -# of the bibliography can be controlled using LATEX_BIB_STYLE. To use this -# feature you need bibtex and perl available in the search path. - -CITE_BIB_FILES = - -#--------------------------------------------------------------------------- -# configuration options related to warning and progress messages -#--------------------------------------------------------------------------- - -# The QUIET tag can be used to turn on/off the messages that are generated -# by doxygen. Possible values are YES and NO. If left blank NO is used. - -QUIET = NO - -# The WARNINGS tag can be used to turn on/off the warning messages that are -# generated by doxygen. Possible values are YES and NO. If left blank -# NO is used. - -WARNINGS = YES - -# If WARN_IF_UNDOCUMENTED is set to YES, then doxygen will generate warnings -# for undocumented members. If EXTRACT_ALL is set to YES then this flag will -# automatically be disabled. - -WARN_IF_UNDOCUMENTED = YES - -# If WARN_IF_DOC_ERROR is set to YES, doxygen will generate warnings for -# potential errors in the documentation, such as not documenting some -# parameters in a documented function, or documenting parameters that -# don't exist or using markup commands wrongly. - -WARN_IF_DOC_ERROR = YES - -# The WARN_NO_PARAMDOC option can be enabled to get warnings for -# functions that are documented, but have no documentation for their parameters -# or return value. If set to NO (the default) doxygen will only warn about -# wrong or incomplete parameter documentation, but not about the absence of -# documentation. - -WARN_NO_PARAMDOC = NO - -# The WARN_FORMAT tag determines the format of the warning messages that -# doxygen can produce. The string should contain the $file, $line, and $text -# tags, which will be replaced by the file and line number from which the -# warning originated and the warning text. Optionally the format may contain -# $version, which will be replaced by the version of the file (if it could -# be obtained via FILE_VERSION_FILTER) - -WARN_FORMAT = "$file:$line: $text" - -# The WARN_LOGFILE tag can be used to specify a file to which warning -# and error messages should be written. If left blank the output is written -# to stderr. - -WARN_LOGFILE = - -#--------------------------------------------------------------------------- -# configuration options related to the input files -#--------------------------------------------------------------------------- - -# The INPUT tag can be used to specify the files and/or directories that contain -# documented source files. You may enter file names like "myfile.cpp" or -# directories like "/usr/src/myproject". Separate the files or directories -# with spaces. - -INPUT = @PROJECT_SOURCE_DIR@/src \ - @PROJECT_SOURCE_DIR@/include/GeographicLib \ - @PROJECT_SOURCE_DIR@/tools \ - @PROJECT_BINARY_DIR@/doc/GeographicLib.dox \ - @PROJECT_SOURCE_DIR@/examples/JacobiConformal.hpp - -# This tag can be used to specify the character encoding of the source files -# that doxygen parses. Internally doxygen uses the UTF-8 encoding, which is -# also the default input encoding. Doxygen uses libiconv (or the iconv built -# into libc) for the transcoding. See http://www.gnu.org/software/libiconv for -# the list of possible encodings. - -INPUT_ENCODING = UTF-8 - -# If the value of the INPUT tag contains directories, you can use the -# FILE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp -# and *.h) to filter out the source-files in the directories. If left -# blank the following patterns are tested: -# *.c *.cc *.cxx *.cpp *.c++ *.d *.java *.ii *.ixx *.ipp *.i++ *.inl *.h *.hh -# *.hxx *.hpp *.h++ *.idl *.odl *.cs *.php *.php3 *.inc *.m *.mm *.dox *.py -# *.f90 *.f *.for *.vhd *.vhdl - -FILE_PATTERNS = [A-Za-z]*.cpp \ - [A-Za-z]*.hpp - -# The RECURSIVE tag can be used to turn specify whether or not subdirectories -# should be searched for input files as well. Possible values are YES and NO. -# If left blank NO is used. - -RECURSIVE = NO - -# The EXCLUDE tag can be used to specify files and/or directories that should be -# excluded from the INPUT source files. This way you can easily exclude a -# subdirectory from a directory tree whose root is specified with the INPUT tag. -# Note that relative paths are relative to the directory from which doxygen is -# run. - -EXCLUDE = - -# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or -# directories that are symbolic links (a Unix file system feature) are excluded -# from the input. - -EXCLUDE_SYMLINKS = NO - -# If the value of the INPUT tag contains directories, you can use the -# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude -# certain files from those directories. Note that the wildcards are matched -# against the file with absolute path, so to exclude all test directories -# for example use the pattern */test/* - -EXCLUDE_PATTERNS = - -# The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names -# (namespaces, classes, functions, etc.) that should be excluded from the -# output. The symbol name can be a fully qualified name, a word, or if the -# wildcard * is used, a substring. Examples: ANamespace, AClass, -# AClass::ANamespace, ANamespace::*Test - -EXCLUDE_SYMBOLS = - -# The EXAMPLE_PATH tag can be used to specify one or more files or -# directories that contain example code fragments that are included (see -# the \include command). - -EXAMPLE_PATH = @PROJECT_SOURCE_DIR@/examples - -# If the value of the EXAMPLE_PATH tag contains directories, you can use the -# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp -# and *.h) to filter out the source-files in the directories. If left -# blank all files are included. - -EXAMPLE_PATTERNS = - -# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be -# searched for input files to be used with the \include or \dontinclude -# commands irrespective of the value of the RECURSIVE tag. -# Possible values are YES and NO. If left blank NO is used. - -EXAMPLE_RECURSIVE = NO - -# The IMAGE_PATH tag can be used to specify one or more files or -# directories that contain image that are included in the documentation (see -# the \image command). - -IMAGE_PATH = @PROJECT_SOURCE_DIR@/doc - -# The INPUT_FILTER tag can be used to specify a program that doxygen should -# invoke to filter for each input file. Doxygen will invoke the filter program -# by executing (via popen()) the command , where -# is the value of the INPUT_FILTER tag, and is the name of an -# input file. Doxygen will then use the output that the filter program writes -# to standard output. -# If FILTER_PATTERNS is specified, this tag will be -# ignored. - -INPUT_FILTER = - -# The FILTER_PATTERNS tag can be used to specify filters on a per file pattern -# basis. -# Doxygen will compare the file name with each pattern and apply the -# filter if there is a match. -# The filters are a list of the form: -# pattern=filter (like *.cpp=my_cpp_filter). See INPUT_FILTER for further -# info on how filters are used. If FILTER_PATTERNS is empty or if -# non of the patterns match the file name, INPUT_FILTER is applied. - -FILTER_PATTERNS = - -# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using -# INPUT_FILTER) will be used to filter the input files when producing source -# files to browse (i.e. when SOURCE_BROWSER is set to YES). - -FILTER_SOURCE_FILES = NO - -# The FILTER_SOURCE_PATTERNS tag can be used to specify source filters per file -# pattern. A pattern will override the setting for FILTER_PATTERN (if any) -# and it is also possible to disable source filtering for a specific pattern -# using *.ext= (so without naming a filter). This option only has effect when -# FILTER_SOURCE_FILES is enabled. - -FILTER_SOURCE_PATTERNS = - -#--------------------------------------------------------------------------- -# configuration options related to source browsing -#--------------------------------------------------------------------------- - -# If the SOURCE_BROWSER tag is set to YES then a list of source files will -# be generated. Documented entities will be cross-referenced with these sources. -# Note: To get rid of all source code in the generated output, make sure also -# VERBATIM_HEADERS is set to NO. - -SOURCE_BROWSER = YES - -# Setting the INLINE_SOURCES tag to YES will include the body -# of functions and classes directly in the documentation. - -INLINE_SOURCES = NO - -# Setting the STRIP_CODE_COMMENTS tag to YES (the default) will instruct -# doxygen to hide any special comment blocks from generated source code -# fragments. Normal C, C++ and Fortran comments will always remain visible. - -STRIP_CODE_COMMENTS = NO - -# If the REFERENCED_BY_RELATION tag is set to YES -# then for each documented function all documented -# functions referencing it will be listed. - -REFERENCED_BY_RELATION = YES - -# If the REFERENCES_RELATION tag is set to YES -# then for each documented function all documented entities -# called/used by that function will be listed. - -REFERENCES_RELATION = YES - -# If the REFERENCES_LINK_SOURCE tag is set to YES (the default) -# and SOURCE_BROWSER tag is set to YES, then the hyperlinks from -# functions in REFERENCES_RELATION and REFERENCED_BY_RELATION lists will -# link to the source code. -# Otherwise they will link to the documentation. - -REFERENCES_LINK_SOURCE = YES - -# If the USE_HTAGS tag is set to YES then the references to source code -# will point to the HTML generated by the htags(1) tool instead of doxygen -# built-in source browser. The htags tool is part of GNU's global source -# tagging system (see http://www.gnu.org/software/global/global.html). You -# will need version 4.8.6 or higher. - -USE_HTAGS = NO - -# If the VERBATIM_HEADERS tag is set to YES (the default) then Doxygen -# will generate a verbatim copy of the header file for each class for -# which an include is specified. Set to NO to disable this. - -VERBATIM_HEADERS = YES - -#--------------------------------------------------------------------------- -# configuration options related to the alphabetical class index -#--------------------------------------------------------------------------- - -# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index -# of all compounds will be generated. Enable this if the project -# contains a lot of classes, structs, unions or interfaces. - -ALPHABETICAL_INDEX = NO - -# If the alphabetical index is enabled (see ALPHABETICAL_INDEX) then -# the COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns -# in which this list will be split (can be a number in the range [1..20]) - -COLS_IN_ALPHA_INDEX = 5 - -# In case all classes in a project start with a common prefix, all -# classes will be put under the same header in the alphabetical index. -# The IGNORE_PREFIX tag can be used to specify one or more prefixes that -# should be ignored while generating the index headers. - -IGNORE_PREFIX = - -#--------------------------------------------------------------------------- -# configuration options related to the HTML output -#--------------------------------------------------------------------------- - -# If the GENERATE_HTML tag is set to YES (the default) Doxygen will -# generate HTML output. - -GENERATE_HTML = YES - -# The HTML_OUTPUT tag is used to specify where the HTML docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `html' will be used as the default path. - -HTML_OUTPUT = html - -# The HTML_FILE_EXTENSION tag can be used to specify the file extension for -# each generated HTML page (for example: .htm,.php,.asp). If it is left blank -# doxygen will generate files with .html extension. - -HTML_FILE_EXTENSION = .html - -# The HTML_HEADER tag can be used to specify a personal HTML header for -# each generated HTML page. If it is left blank doxygen will generate a -# standard header. Note that when using a custom header you are responsible -# for the proper inclusion of any scripts and style sheets that doxygen -# needs, which is dependent on the configuration options used. -# It is advised to generate a default header using "doxygen -w html -# header.html footer.html stylesheet.css YourConfigFile" and then modify -# that header. Note that the header is subject to change so you typically -# have to redo this when upgrading to a newer version of doxygen or when -# changing the value of configuration settings such as GENERATE_TREEVIEW! - -HTML_HEADER = - -# The HTML_FOOTER tag can be used to specify a personal HTML footer for -# each generated HTML page. If it is left blank doxygen will generate a -# standard footer. - -HTML_FOOTER = - -# The HTML_STYLESHEET tag can be used to specify a user-defined cascading -# style sheet that is used by each HTML page. It can be used to -# fine-tune the look of the HTML output. If left blank doxygen will -# generate a default style sheet. Note that it is recommended to use -# HTML_EXTRA_STYLESHEET instead of this one, as it is more robust and this -# tag will in the future become obsolete. - -HTML_STYLESHEET = - -# The HTML_EXTRA_STYLESHEET tag can be used to specify an additional -# user-defined cascading style sheet that is included after the standard -# style sheets created by doxygen. Using this option one can overrule -# certain style aspects. This is preferred over using HTML_STYLESHEET -# since it does not replace the standard style sheet and is therefor more -# robust against future updates. Doxygen will copy the style sheet file to -# the output directory. - -HTML_EXTRA_STYLESHEET = - -# The HTML_EXTRA_FILES tag can be used to specify one or more extra images or -# other source files which should be copied to the HTML output directory. Note -# that these files will be copied to the base HTML output directory. Use the -# $relpath$ marker in the HTML_HEADER and/or HTML_FOOTER files to load these -# files. In the HTML_STYLESHEET file, use the file name only. Also note that -# the files will be copied as-is; there are no commands or markers available. - -HTML_EXTRA_FILES = - -# The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. -# Doxygen will adjust the colors in the style sheet and background images -# according to this color. Hue is specified as an angle on a colorwheel, -# see http://en.wikipedia.org/wiki/Hue for more information. -# For instance the value 0 represents red, 60 is yellow, 120 is green, -# 180 is cyan, 240 is blue, 300 purple, and 360 is red again. -# The allowed range is 0 to 359. - -HTML_COLORSTYLE_HUE = 220 - -# The HTML_COLORSTYLE_SAT tag controls the purity (or saturation) of -# the colors in the HTML output. For a value of 0 the output will use -# grayscales only. A value of 255 will produce the most vivid colors. - -HTML_COLORSTYLE_SAT = 100 - -# The HTML_COLORSTYLE_GAMMA tag controls the gamma correction applied to -# the luminance component of the colors in the HTML output. Values below -# 100 gradually make the output lighter, whereas values above 100 make -# the output darker. The value divided by 100 is the actual gamma applied, -# so 80 represents a gamma of 0.8, The value 220 represents a gamma of 2.2, -# and 100 does not change the gamma. - -HTML_COLORSTYLE_GAMMA = 80 - -# If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML -# page will contain the date and time when the page was generated. Setting -# this to NO can help when comparing the output of multiple runs. - -HTML_TIMESTAMP = NO - -# If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML -# documentation will contain sections that can be hidden and shown after the -# page has loaded. - -HTML_DYNAMIC_SECTIONS = NO - -# With HTML_INDEX_NUM_ENTRIES one can control the preferred number of -# entries shown in the various tree structured indices initially; the user -# can expand and collapse entries dynamically later on. Doxygen will expand -# the tree to such a level that at most the specified number of entries are -# visible (unless a fully collapsed tree already exceeds this amount). -# So setting the number of entries 1 will produce a full collapsed tree by -# default. 0 is a special value representing an infinite number of entries -# and will result in a full expanded tree by default. - -HTML_INDEX_NUM_ENTRIES = 100 - -# If the GENERATE_DOCSET tag is set to YES, additional index files -# will be generated that can be used as input for Apple's Xcode 3 -# integrated development environment, introduced with OSX 10.5 (Leopard). -# To create a documentation set, doxygen will generate a Makefile in the -# HTML output directory. Running make will produce the docset in that -# directory and running "make install" will install the docset in -# ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find -# it at startup. -# See http://developer.apple.com/tools/creatingdocsetswithdoxygen.html -# for more information. - -GENERATE_DOCSET = NO - -# When GENERATE_DOCSET tag is set to YES, this tag determines the name of the -# feed. A documentation feed provides an umbrella under which multiple -# documentation sets from a single provider (such as a company or product suite) -# can be grouped. - -DOCSET_FEEDNAME = "Doxygen generated docs" - -# When GENERATE_DOCSET tag is set to YES, this tag specifies a string that -# should uniquely identify the documentation set bundle. This should be a -# reverse domain-name style string, e.g. com.mycompany.MyDocSet. Doxygen -# will append .docset to the name. - -DOCSET_BUNDLE_ID = org.doxygen.Project - -# When GENERATE_PUBLISHER_ID tag specifies a string that should uniquely -# identify the documentation publisher. This should be a reverse domain-name -# style string, e.g. com.mycompany.MyDocSet.documentation. - -DOCSET_PUBLISHER_ID = org.doxygen.Publisher - -# The GENERATE_PUBLISHER_NAME tag identifies the documentation publisher. - -DOCSET_PUBLISHER_NAME = Publisher - -# If the GENERATE_HTMLHELP tag is set to YES, additional index files -# will be generated that can be used as input for tools like the -# Microsoft HTML help workshop to generate a compiled HTML help file (.chm) -# of the generated HTML documentation. - -GENERATE_HTMLHELP = NO - -# If the GENERATE_HTMLHELP tag is set to YES, the CHM_FILE tag can -# be used to specify the file name of the resulting .chm file. You -# can add a path in front of the file if the result should not be -# written to the html output directory. - -CHM_FILE = - -# If the GENERATE_HTMLHELP tag is set to YES, the HHC_LOCATION tag can -# be used to specify the location (absolute path including file name) of -# the HTML help compiler (hhc.exe). If non-empty doxygen will try to run -# the HTML help compiler on the generated index.hhp. - -HHC_LOCATION = - -# If the GENERATE_HTMLHELP tag is set to YES, the GENERATE_CHI flag -# controls if a separate .chi index file is generated (YES) or that -# it should be included in the master .chm file (NO). - -GENERATE_CHI = NO - -# If the GENERATE_HTMLHELP tag is set to YES, the CHM_INDEX_ENCODING -# is used to encode HtmlHelp index (hhk), content (hhc) and project file -# content. - -CHM_INDEX_ENCODING = - -# If the GENERATE_HTMLHELP tag is set to YES, the BINARY_TOC flag -# controls whether a binary table of contents is generated (YES) or a -# normal table of contents (NO) in the .chm file. - -BINARY_TOC = NO - -# The TOC_EXPAND flag can be set to YES to add extra items for group members -# to the contents of the HTML help documentation and to the tree view. - -TOC_EXPAND = NO - -# If the GENERATE_QHP tag is set to YES and both QHP_NAMESPACE and -# QHP_VIRTUAL_FOLDER are set, an additional index file will be generated -# that can be used as input for Qt's qhelpgenerator to generate a -# Qt Compressed Help (.qch) of the generated HTML documentation. - -GENERATE_QHP = NO - -# If the QHG_LOCATION tag is specified, the QCH_FILE tag can -# be used to specify the file name of the resulting .qch file. -# The path specified is relative to the HTML output folder. - -QCH_FILE = - -# The QHP_NAMESPACE tag specifies the namespace to use when generating -# Qt Help Project output. For more information please see -# http://doc.trolltech.com/qthelpproject.html#namespace - -QHP_NAMESPACE = org.doxygen.Project - -# The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating -# Qt Help Project output. For more information please see -# http://doc.trolltech.com/qthelpproject.html#virtual-folders - -QHP_VIRTUAL_FOLDER = doc - -# If QHP_CUST_FILTER_NAME is set, it specifies the name of a custom filter to -# add. For more information please see -# http://doc.trolltech.com/qthelpproject.html#custom-filters - -QHP_CUST_FILTER_NAME = - -# The QHP_CUST_FILT_ATTRS tag specifies the list of the attributes of the -# custom filter to add. For more information please see -# -# Qt Help Project / Custom Filters. - -QHP_CUST_FILTER_ATTRS = - -# The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this -# project's -# filter section matches. -# -# Qt Help Project / Filter Attributes. - -QHP_SECT_FILTER_ATTRS = - -# If the GENERATE_QHP tag is set to YES, the QHG_LOCATION tag can -# be used to specify the location of Qt's qhelpgenerator. -# If non-empty doxygen will try to run qhelpgenerator on the generated -# .qhp file. - -QHG_LOCATION = - -# If the GENERATE_ECLIPSEHELP tag is set to YES, additional index files -# will be generated, which together with the HTML files, form an Eclipse help -# plugin. To install this plugin and make it available under the help contents -# menu in Eclipse, the contents of the directory containing the HTML and XML -# files needs to be copied into the plugins directory of eclipse. The name of -# the directory within the plugins directory should be the same as -# the ECLIPSE_DOC_ID value. After copying Eclipse needs to be restarted before -# the help appears. - -GENERATE_ECLIPSEHELP = NO - -# A unique identifier for the eclipse help plugin. When installing the plugin -# the directory name containing the HTML and XML files should also have -# this name. - -ECLIPSE_DOC_ID = org.doxygen.Project - -# The DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) -# at top of each HTML page. The value NO (the default) enables the index and -# the value YES disables it. Since the tabs have the same information as the -# navigation tree you can set this option to NO if you already set -# GENERATE_TREEVIEW to YES. - -DISABLE_INDEX = NO - -# The GENERATE_TREEVIEW tag is used to specify whether a tree-like index -# structure should be generated to display hierarchical information. -# If the tag value is set to YES, a side panel will be generated -# containing a tree-like index structure (just like the one that -# is generated for HTML Help). For this to work a browser that supports -# JavaScript, DHTML, CSS and frames is required (i.e. any modern browser). -# Windows users are probably better off using the HTML help feature. -# Since the tree basically has the same information as the tab index you -# could consider to set DISABLE_INDEX to NO when enabling this option. - -GENERATE_TREEVIEW = YES - -# The ENUM_VALUES_PER_LINE tag can be used to set the number of enum values -# (range [0,1..20]) that doxygen will group on one line in the generated HTML -# documentation. Note that a value of 0 will completely suppress the enum -# values from appearing in the overview section. - -ENUM_VALUES_PER_LINE = 4 - -# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be -# used to set the initial width (in pixels) of the frame in which the tree -# is shown. - -TREEVIEW_WIDTH = 250 - -# When the EXT_LINKS_IN_WINDOW option is set to YES doxygen will open -# links to external symbols imported via tag files in a separate window. - -EXT_LINKS_IN_WINDOW = NO - -# Use this tag to change the font size of Latex formulas included -# as images in the HTML documentation. The default is 10. Note that -# when you change the font size after a successful doxygen run you need -# to manually remove any form_*.png images from the HTML output directory -# to force them to be regenerated. - -FORMULA_FONTSIZE = 10 - -# Use the FORMULA_TRANPARENT tag to determine whether or not the images -# generated for formulas are transparent PNGs. Transparent PNGs are -# not supported properly for IE 6.0, but are supported on all modern browsers. -# Note that when changing this option you need to delete any form_*.png files -# in the HTML output before the changes have effect. - -FORMULA_TRANSPARENT = YES - -# Enable the USE_MATHJAX option to render LaTeX formulas using MathJax -# (see http://www.mathjax.org) which uses client side Javascript for the -# rendering instead of using prerendered bitmaps. Use this if you do not -# have LaTeX installed or if you want to formulas look prettier in the HTML -# output. When enabled you may also need to install MathJax separately and -# configure the path to it using the MATHJAX_RELPATH option. - -USE_MATHJAX = YES - -# When MathJax is enabled you need to specify the location relative to the -# HTML output directory using the MATHJAX_RELPATH option. The destination -# directory should contain the MathJax.js script. For instance, if the mathjax -# directory is located at the same level as the HTML output directory, then -# MATHJAX_RELPATH should be ../mathjax. The default value points to -# the MathJax Content Delivery Network so you can quickly see the result without -# installing MathJax. -# However, it is strongly recommended to install a local -# copy of MathJax from http://www.mathjax.org before deployment. - -MATHJAX_RELPATH = https://geographiclib.sourceforge.io/MathJax-2.7.2 - -# The MATHJAX_EXTENSIONS tag can be used to specify one or MathJax extension -# names that should be enabled during MathJax rendering. - -MATHJAX_EXTENSIONS = - -# When the SEARCHENGINE tag is enabled doxygen will generate a search box -# for the HTML output. The underlying search engine uses javascript -# and DHTML and should work on any modern browser. Note that when using -# HTML help (GENERATE_HTMLHELP), Qt help (GENERATE_QHP), or docsets -# (GENERATE_DOCSET) there is already a search function so this one should -# typically be disabled. For large projects the javascript based search engine -# can be slow, then enabling SERVER_BASED_SEARCH may provide a better solution. - -SEARCHENGINE = YES - -# When the SERVER_BASED_SEARCH tag is enabled the search engine will be -# implemented using a PHP enabled web server instead of at the web client -# using Javascript. Doxygen will generate the search PHP script and index -# file to put on the web server. The advantage of the server -# based approach is that it scales better to large projects and allows -# full text search. The disadvantages are that it is more difficult to setup -# and does not have live searching capabilities. - -SERVER_BASED_SEARCH = NO - -#--------------------------------------------------------------------------- -# configuration options related to the LaTeX output -#--------------------------------------------------------------------------- - -# If the GENERATE_LATEX tag is set to YES (the default) Doxygen will -# generate Latex output. - -GENERATE_LATEX = NO - -# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `latex' will be used as the default path. - -LATEX_OUTPUT = latex - -# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be -# invoked. If left blank `latex' will be used as the default command name. -# Note that when enabling USE_PDFLATEX this option is only used for -# generating bitmaps for formulas in the HTML output, but not in the -# Makefile that is written to the output directory. - -LATEX_CMD_NAME = latex - -# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to -# generate index for LaTeX. If left blank `makeindex' will be used as the -# default command name. - -MAKEINDEX_CMD_NAME = makeindex - -# If the COMPACT_LATEX tag is set to YES Doxygen generates more compact -# LaTeX documents. This may be useful for small projects and may help to -# save some trees in general. - -COMPACT_LATEX = NO - -# The PAPER_TYPE tag can be used to set the paper type that is used -# by the printer. Possible values are: a4, letter, legal and -# executive. If left blank a4wide will be used. - -PAPER_TYPE = a4wide - -# The EXTRA_PACKAGES tag can be to specify one or more names of LaTeX -# packages that should be included in the LaTeX output. - -EXTRA_PACKAGES = - -# The LATEX_HEADER tag can be used to specify a personal LaTeX header for -# the generated latex document. The header should contain everything until -# the first chapter. If it is left blank doxygen will generate a -# standard header. Notice: only use this tag if you know what you are doing! - -LATEX_HEADER = - -# The LATEX_FOOTER tag can be used to specify a personal LaTeX footer for -# the generated latex document. The footer should contain everything after -# the last chapter. If it is left blank doxygen will generate a -# standard footer. Notice: only use this tag if you know what you are doing! - -LATEX_FOOTER = - -# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated -# is prepared for conversion to pdf (using ps2pdf). The pdf file will -# contain links (just like the HTML output) instead of page references -# This makes the output suitable for online browsing using a pdf viewer. - -PDF_HYPERLINKS = NO - -# If the USE_PDFLATEX tag is set to YES, pdflatex will be used instead of -# plain latex in the generated Makefile. Set this option to YES to get a -# higher quality PDF documentation. - -USE_PDFLATEX = NO - -# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \\batchmode. -# command to the generated LaTeX files. This will instruct LaTeX to keep -# running if errors occur, instead of asking the user for help. -# This option is also used when generating formulas in HTML. - -LATEX_BATCHMODE = NO - -# If LATEX_HIDE_INDICES is set to YES then doxygen will not -# include the index chapters (such as File Index, Compound Index, etc.) -# in the output. - -LATEX_HIDE_INDICES = NO - -# If LATEX_SOURCE_CODE is set to YES then doxygen will include -# source code with syntax highlighting in the LaTeX output. -# Note that which sources are shown also depends on other settings -# such as SOURCE_BROWSER. - -LATEX_SOURCE_CODE = NO - -# The LATEX_BIB_STYLE tag can be used to specify the style to use for the -# bibliography, e.g. plainnat, or ieeetr. The default style is "plain". See -# http://en.wikipedia.org/wiki/BibTeX for more info. - -LATEX_BIB_STYLE = plain - -#--------------------------------------------------------------------------- -# configuration options related to the RTF output -#--------------------------------------------------------------------------- - -# If the GENERATE_RTF tag is set to YES Doxygen will generate RTF output -# The RTF output is optimized for Word 97 and may not look very pretty with -# other RTF readers or editors. - -GENERATE_RTF = NO - -# The RTF_OUTPUT tag is used to specify where the RTF docs will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `rtf' will be used as the default path. - -RTF_OUTPUT = rtf - -# If the COMPACT_RTF tag is set to YES Doxygen generates more compact -# RTF documents. This may be useful for small projects and may help to -# save some trees in general. - -COMPACT_RTF = NO - -# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated -# will contain hyperlink fields. The RTF file will -# contain links (just like the HTML output) instead of page references. -# This makes the output suitable for online browsing using WORD or other -# programs which support those fields. -# Note: wordpad (write) and others do not support links. - -RTF_HYPERLINKS = NO - -# Load style sheet definitions from file. Syntax is similar to doxygen's -# config file, i.e. a series of assignments. You only have to provide -# replacements, missing definitions are set to their default value. - -RTF_STYLESHEET_FILE = - -# Set optional variables used in the generation of an rtf document. -# Syntax is similar to doxygen's config file. - -RTF_EXTENSIONS_FILE = - -#--------------------------------------------------------------------------- -# configuration options related to the man page output -#--------------------------------------------------------------------------- - -# If the GENERATE_MAN tag is set to YES (the default) Doxygen will -# generate man pages - -GENERATE_MAN = NO - -# The MAN_OUTPUT tag is used to specify where the man pages will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `man' will be used as the default path. - -MAN_OUTPUT = man - -# The MAN_EXTENSION tag determines the extension that is added to -# the generated man pages (default is the subroutine's section .3) - -MAN_EXTENSION = .3 - -# If the MAN_LINKS tag is set to YES and Doxygen generates man output, -# then it will generate one additional man file for each entity -# documented in the real man page(s). These additional files -# only source the real man page, but without them the man command -# would be unable to find the correct page. The default is NO. - -MAN_LINKS = NO - -#--------------------------------------------------------------------------- -# configuration options related to the XML output -#--------------------------------------------------------------------------- - -# If the GENERATE_XML tag is set to YES Doxygen will -# generate an XML file that captures the structure of -# the code including all documentation. - -GENERATE_XML = NO - -# The XML_OUTPUT tag is used to specify where the XML pages will be put. -# If a relative path is entered the value of OUTPUT_DIRECTORY will be -# put in front of it. If left blank `xml' will be used as the default path. - -XML_OUTPUT = xml - -# If the XML_PROGRAMLISTING tag is set to YES Doxygen will -# dump the program listings (including syntax highlighting -# and cross-referencing information) to the XML output. Note that -# enabling this will significantly increase the size of the XML output. - -XML_PROGRAMLISTING = YES - -#--------------------------------------------------------------------------- -# configuration options for the AutoGen Definitions output -#--------------------------------------------------------------------------- - -# If the GENERATE_AUTOGEN_DEF tag is set to YES Doxygen will -# generate an AutoGen Definitions (see autogen.sf.net) file -# that captures the structure of the code including all -# documentation. Note that this feature is still experimental -# and incomplete at the moment. - -GENERATE_AUTOGEN_DEF = NO - -#--------------------------------------------------------------------------- -# configuration options related to the Perl module output -#--------------------------------------------------------------------------- - -# If the GENERATE_PERLMOD tag is set to YES Doxygen will -# generate a Perl module file that captures the structure of -# the code including all documentation. Note that this -# feature is still experimental and incomplete at the -# moment. - -GENERATE_PERLMOD = NO - -# If the PERLMOD_LATEX tag is set to YES Doxygen will generate -# the necessary Makefile rules, Perl scripts and LaTeX code to be able -# to generate PDF and DVI output from the Perl module output. - -PERLMOD_LATEX = NO - -# If the PERLMOD_PRETTY tag is set to YES the Perl module output will be -# nicely formatted so it can be parsed by a human reader. -# This is useful -# if you want to understand what is going on. -# On the other hand, if this -# tag is set to NO the size of the Perl module output will be much smaller -# and Perl will parse it just the same. - -PERLMOD_PRETTY = YES - -# The names of the make variables in the generated doxyrules.make file -# are prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX. -# This is useful so different doxyrules.make files included by the same -# Makefile don't overwrite each other's variables. - -PERLMOD_MAKEVAR_PREFIX = - -#--------------------------------------------------------------------------- -# Configuration options related to the preprocessor -#--------------------------------------------------------------------------- - -# If the ENABLE_PREPROCESSING tag is set to YES (the default) Doxygen will -# evaluate all C-preprocessor directives found in the sources and include -# files. - -ENABLE_PREPROCESSING = YES - -# If the MACRO_EXPANSION tag is set to YES Doxygen will expand all macro -# names in the source code. If set to NO (the default) only conditional -# compilation will be performed. Macro expansion can be done in a controlled -# way by setting EXPAND_ONLY_PREDEF to YES. - -MACRO_EXPANSION = NO - -# If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES -# then the macro expansion is limited to the macros specified with the -# PREDEFINED and EXPAND_AS_DEFINED tags. - -EXPAND_ONLY_PREDEF = NO - -# If the SEARCH_INCLUDES tag is set to YES (the default) the includes files -# pointed to by INCLUDE_PATH will be searched when a #include is found. - -SEARCH_INCLUDES = YES - -# The INCLUDE_PATH tag can be used to specify one or more directories that -# contain include files that are not input files but should be processed by -# the preprocessor. - -INCLUDE_PATH = - -# You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard -# patterns (like *.h and *.hpp) to filter out the header-files in the -# directories. If left blank, the patterns specified with FILE_PATTERNS will -# be used. - -INCLUDE_FILE_PATTERNS = - -# The PREDEFINED tag can be used to specify one or more macro names that -# are defined before the preprocessor is started (similar to the -D option of -# gcc). The argument of the tag is a list of macros of the form: name -# or name=definition (no spaces). If the definition and the = are -# omitted =1 is assumed. To prevent a macro definition from being -# undefined via #undef or recursively expanded use the := operator -# instead of the = operator. - -PREDEFINED = DOXYGEN - -# If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then -# this tag can be used to specify a list of macro names that should be expanded. -# The macro definition that is found in the sources will be used. -# Use the PREDEFINED tag if you want to use a different macro definition that -# overrules the definition found in the source code. - -EXPAND_AS_DEFINED = - -# If the SKIP_FUNCTION_MACROS tag is set to YES (the default) then -# doxygen's preprocessor will remove all references to function-like macros -# that are alone on a line, have an all uppercase name, and do not end with a -# semicolon, because these will confuse the parser if not removed. - -SKIP_FUNCTION_MACROS = YES - -#--------------------------------------------------------------------------- -# Configuration::additions related to external references -#--------------------------------------------------------------------------- - -# The TAGFILES option can be used to specify one or more tagfiles. For each -# tag file the location of the external documentation should be added. The -# format of a tag file without this location is as follows: -# -# TAGFILES = file1 file2 ... -# Adding location for the tag files is done as follows: -# -# TAGFILES = file1=loc1 "file2 = loc2" ... -# where "loc1" and "loc2" can be relative or absolute paths -# or URLs. Note that each tag file must have a unique name (where the name does -# NOT include the path). If a tag file is not located in the directory in which -# doxygen is run, you must also specify the path to the tagfile here. - -TAGFILES = - -# When a file name is specified after GENERATE_TAGFILE, doxygen will create -# a tag file that is based on the input files it reads. - -GENERATE_TAGFILE = html/GeographicLib.tag - -# If the ALLEXTERNALS tag is set to YES all external classes will be listed -# in the class index. If set to NO only the inherited external classes -# will be listed. - -ALLEXTERNALS = NO - -# If the EXTERNAL_GROUPS tag is set to YES all external groups will be listed -# in the modules index. If set to NO, only the current project's groups will -# be listed. - -EXTERNAL_GROUPS = YES - -# The PERL_PATH should be the absolute path and name of the perl script -# interpreter (i.e. the result of `which perl'). - -PERL_PATH = /usr/bin/perl - -#--------------------------------------------------------------------------- -# Configuration options related to the dot tool -#--------------------------------------------------------------------------- - -# If the CLASS_DIAGRAMS tag is set to YES (the default) Doxygen will -# generate a inheritance diagram (in HTML, RTF and LaTeX) for classes with base -# or super classes. Setting the tag to NO turns the diagrams off. Note that -# this option also works with HAVE_DOT disabled, but it is recommended to -# install and use dot, since it yields more powerful graphs. - -CLASS_DIAGRAMS = YES - -# You can define message sequence charts within doxygen comments using the \msc -# command. Doxygen will then run the mscgen tool (see -# http://www.mcternan.me.uk/mscgen/) to produce the chart and insert it in the -# documentation. The MSCGEN_PATH tag allows you to specify the directory where -# the mscgen tool resides. If left empty the tool is assumed to be found in the -# default search path. - -MSCGEN_PATH = - -# If set to YES, the inheritance and collaboration graphs will hide -# inheritance and usage relations if the target is undocumented -# or is not a class. - -HIDE_UNDOC_RELATIONS = YES - -# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is -# available from the path. This tool is part of Graphviz, a graph visualization -# toolkit from AT&T and Lucent Bell Labs. The other options in this section -# have no effect if this option is set to NO (the default) - -HAVE_DOT = NO - -# The DOT_NUM_THREADS specifies the number of dot invocations doxygen is -# allowed to run in parallel. When set to 0 (the default) doxygen will -# base this on the number of processors available in the system. You can set it -# explicitly to a value larger than 0 to get control over the balance -# between CPU load and processing speed. - -DOT_NUM_THREADS = 0 - -# By default doxygen will use the Helvetica font for all dot files that -# doxygen generates. When you want a differently looking font you can specify -# the font name using DOT_FONTNAME. You need to make sure dot is able to find -# the font, which can be done by putting it in a standard location or by setting -# the DOTFONTPATH environment variable or by setting DOT_FONTPATH to the -# directory containing the font. - -DOT_FONTNAME = Helvetica - -# The DOT_FONTSIZE tag can be used to set the size of the font of dot graphs. -# The default size is 10pt. - -DOT_FONTSIZE = 10 - -# By default doxygen will tell dot to use the Helvetica font. -# If you specify a different font using DOT_FONTNAME you can use DOT_FONTPATH to -# set the path where dot can find it. - -DOT_FONTPATH = - -# If the CLASS_GRAPH and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for each documented class showing the direct and -# indirect inheritance relations. Setting this tag to YES will force the -# CLASS_DIAGRAMS tag to NO. - -CLASS_GRAPH = YES - -# If the COLLABORATION_GRAPH and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for each documented class showing the direct and -# indirect implementation dependencies (inheritance, containment, and -# class references variables) of the class with other documented classes. - -COLLABORATION_GRAPH = YES - -# If the GROUP_GRAPHS and HAVE_DOT tags are set to YES then doxygen -# will generate a graph for groups, showing the direct groups dependencies - -GROUP_GRAPHS = YES - -# If the UML_LOOK tag is set to YES doxygen will generate inheritance and -# collaboration diagrams in a style similar to the OMG's Unified Modeling -# Language. - -UML_LOOK = NO - -# If the UML_LOOK tag is enabled, the fields and methods are shown inside -# the class node. If there are many fields or methods and many nodes the -# graph may become too big to be useful. The UML_LIMIT_NUM_FIELDS -# threshold limits the number of items for each type to make the size more -# managable. Set this to 0 for no limit. Note that the threshold may be -# exceeded by 50% before the limit is enforced. - -UML_LIMIT_NUM_FIELDS = 10 - -# If set to YES, the inheritance and collaboration graphs will show the -# relations between templates and their instances. - -TEMPLATE_RELATIONS = NO - -# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDE_GRAPH, and HAVE_DOT -# tags are set to YES then doxygen will generate a graph for each documented -# file showing the direct and indirect include dependencies of the file with -# other documented files. - -INCLUDE_GRAPH = YES - -# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDED_BY_GRAPH, and -# HAVE_DOT tags are set to YES then doxygen will generate a graph for each -# documented header file showing the documented files that directly or -# indirectly include this file. - -INCLUDED_BY_GRAPH = YES - -# If the CALL_GRAPH and HAVE_DOT options are set to YES then -# doxygen will generate a call dependency graph for every global function -# or class method. Note that enabling this option will significantly increase -# the time of a run. So in most cases it will be better to enable call graphs -# for selected functions only using the \callgraph command. - -CALL_GRAPH = NO - -# If the CALLER_GRAPH and HAVE_DOT tags are set to YES then -# doxygen will generate a caller dependency graph for every global function -# or class method. Note that enabling this option will significantly increase -# the time of a run. So in most cases it will be better to enable caller -# graphs for selected functions only using the \callergraph command. - -CALLER_GRAPH = NO - -# If the GRAPHICAL_HIERARCHY and HAVE_DOT tags are set to YES then doxygen -# will generate a graphical hierarchy of all classes instead of a textual one. - -GRAPHICAL_HIERARCHY = YES - -# If the DIRECTORY_GRAPH and HAVE_DOT tags are set to YES -# then doxygen will show the dependencies a directory has on other directories -# in a graphical way. The dependency relations are determined by the #include -# relations between the files in the directories. - -DIRECTORY_GRAPH = YES - -# The DOT_IMAGE_FORMAT tag can be used to set the image format of the images -# generated by dot. Possible values are svg, png, jpg, or gif. -# If left blank png will be used. If you choose svg you need to set -# HTML_FILE_EXTENSION to xhtml in order to make the SVG files -# visible in IE 9+ (other browsers do not have this requirement). - -DOT_IMAGE_FORMAT = png - -# If DOT_IMAGE_FORMAT is set to svg, then this option can be set to YES to -# enable generation of interactive SVG images that allow zooming and panning. -# Note that this requires a modern browser other than Internet Explorer. -# Tested and working are Firefox, Chrome, Safari, and Opera. For IE 9+ you -# need to set HTML_FILE_EXTENSION to xhtml in order to make the SVG files -# visible. Older versions of IE do not have SVG support. - -INTERACTIVE_SVG = NO - -# The tag DOT_PATH can be used to specify the path where the dot tool can be -# found. If left blank, it is assumed the dot tool can be found in the path. - -DOT_PATH = - -# The DOTFILE_DIRS tag can be used to specify one or more directories that -# contain dot files that are included in the documentation (see the -# \dotfile command). - -DOTFILE_DIRS = - -# The MSCFILE_DIRS tag can be used to specify one or more directories that -# contain msc files that are included in the documentation (see the -# \mscfile command). - -MSCFILE_DIRS = - -# The DOT_GRAPH_MAX_NODES tag can be used to set the maximum number of -# nodes that will be shown in the graph. If the number of nodes in a graph -# becomes larger than this value, doxygen will truncate the graph, which is -# visualized by representing a node as a red box. Note that doxygen if the -# number of direct children of the root node in a graph is already larger than -# DOT_GRAPH_MAX_NODES then the graph will not be shown at all. Also note -# that the size of a graph can be further restricted by MAX_DOT_GRAPH_DEPTH. - -DOT_GRAPH_MAX_NODES = 50 - -# The MAX_DOT_GRAPH_DEPTH tag can be used to set the maximum depth of the -# graphs generated by dot. A depth value of 3 means that only nodes reachable -# from the root by following a path via at most 3 edges will be shown. Nodes -# that lay further from the root node will be omitted. Note that setting this -# option to 1 or 2 may greatly reduce the computation time needed for large -# code bases. Also note that the size of a graph can be further restricted by -# DOT_GRAPH_MAX_NODES. Using a depth of 0 means no depth restriction. - -MAX_DOT_GRAPH_DEPTH = 0 - -# Set the DOT_TRANSPARENT tag to YES to generate images with a transparent -# background. This is disabled by default, because dot on Windows does not -# seem to support this out of the box. Warning: Depending on the platform used, -# enabling this option may lead to badly anti-aliased labels on the edges of -# a graph (i.e. they become hard to read). - -DOT_TRANSPARENT = NO - -# Set the DOT_MULTI_TARGETS tag to YES allow dot to generate multiple output -# files in one run (i.e. multiple -o and -T options on the command line). This -# makes dot run faster, but since only newer versions of dot (>1.8.10) -# support this, this feature is disabled by default. - -DOT_MULTI_TARGETS = NO - -# If the GENERATE_LEGEND tag is set to YES (the default) Doxygen will -# generate a legend page explaining the meaning of the various boxes and -# arrows in the dot generated graphs. - -GENERATE_LEGEND = YES - -# If the DOT_CLEANUP tag is set to YES (the default) Doxygen will -# remove the intermediate dot files that are used to generate -# the various graphs. - -DOT_CLEANUP = YES diff --git a/libs/GeographicLib-1.50.1/doc/gauss-krueger-convergence-scale.png b/libs/GeographicLib-1.50.1/doc/gauss-krueger-convergence-scale.png deleted file mode 100644 index 1a3172b85e808abdc6384e6064a476e452c48cc5..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/gauss-krueger-convergence-scale.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/gauss-krueger-error.png b/libs/GeographicLib-1.50.1/doc/gauss-krueger-error.png deleted file mode 100644 index cd397e669fd4bdc1be51b11a103a2d4a99fb1473..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/gauss-krueger-error.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/gauss-krueger-graticule-a.png b/libs/GeographicLib-1.50.1/doc/gauss-krueger-graticule-a.png deleted file mode 100644 index bffd83207d1a07e788768c780eb82e4fd577e428..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/gauss-krueger-graticule-a.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/gauss-krueger-graticule.png b/libs/GeographicLib-1.50.1/doc/gauss-krueger-graticule.png deleted file mode 100644 index af793eab608bd75f91a0d6a9f2f7bd30db34746b..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/gauss-krueger-graticule.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/gauss-schreiber-graticule-a.png b/libs/GeographicLib-1.50.1/doc/gauss-schreiber-graticule-a.png deleted file mode 100644 index 51a5e9db26a8267717200eaa39f90c9012803aea..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/gauss-schreiber-graticule-a.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/geodesic-c.dox b/libs/GeographicLib-1.50.1/doc/geodesic-c.dox deleted file mode 100644 index 9994551ba9fcdfc86ecb7997f130787cc5c36d0a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/geodesic-c.dox +++ /dev/null @@ -1,264 +0,0 @@ -// -*- text -*- -/** - * \file geodesic-c.dox - * \brief Documentation for geodesic routines implemented in C - * - * Written by Charles Karney and licensed under the - * MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -/** -\mainpage Geodesic routines implemented in C -\author Charles F. F. Karney (charles@karney.com) -\version 1.50 - -The documentation for other versions is available at -https://geographiclib.sourceforge.io/m.nn/C for versions numbers -m.nn ≥ 1.28. - -\section abstract-c Abstract - -This is a C implementation of the geodesic algorithms from -GeographicLib. This -is a self-contained library (requiring only the standard C math library) -which makes it easy to do geodesic computations for an ellipsoid of -revolution in a C program. It is included with version 4.9.0 of -PROJ and later. -It uses ANSI C as described in B. W. Kernigan and D. M. Ritchie, The C -Programming Language, 2nd Ed. (Prentice Hall, 1988), and so should -compile correctly with just about any C compiler. However, the C99 math -functions are used if they are available. - -\section download-c Downloading the source - -The C library is part of %GeographicLib which available for download at -- - GeographicLib-1.50.tar.gz -- - GeographicLib-1.50.zip -. -as either a compressed tar file (tar.gz) or a zip file. After unpacking -the source, the C library can be found in the directory legacy/C. -The library consists of two files geodesic.c and geodesic.h. - -The library is also included as part of -PROJ starting with -version 4.9.0, where it is used as the computational backend for -geod(1). -Instructions for how to use the library via proj.4 are given below. - -Licensed under the -MIT/X11 License; see -LICENSE.txt. - -\section doc-c Library documentation - -Here is the -\link geodesic.h application programming interface\endlink -for the library (this is just the documentation for the header file, -geodesic.h). See also the documentation on the structures geod_geodesic, -geod_geodesicline, and geod_polygon. - -\section samples-c Sample programs - -Also included are 3 small test programs: - - direct.c is a simple command line utility for solving the - direct geodesic problem; - - inverse.c is a simple command line utility for solving the - inverse geodesic problem; - - planimeter.c is a simple command line utility for computing the - area of a geodesic polygon given its vertices. - . -Here, for example, is inverse.c -\include inverse.c -To compile, link, and run this, you would typically use \verbatim -cc -o inverse inverse.c geodesic.c -lm -echo 30 0 29.5 179.5 | ./inverse \endverbatim -These sample programs can also be built with the supplied cmake file, -CMakeLists.txt, as follows \verbatim -mkdir BUILD -cd BUILD -cmake .. -make -make test -echo 30 0 29.5 179.5 | ./inverse \endverbatim - -Alternatively, if you have proj.4 installed, you can compile and link -with \verbatim -cc -c inverse.c -cc -o inverse inverse.o -lproj -echo 30 0 29.5 179.5 | ./inverse \endverbatim -If proj.4 is installed, e.g., in /usr/local, you might have to use -\verbatim -cc -c -I/usr/local/include inverse.c -cc -o inverse inverse.o -lproj -L/usr/local/lib -Wl,-rpath=/usr/local/lib -echo 30 0 29.5 179.5 | ./inverse \endverbatim - -\section library-c Using the library - -- Put @code{.c} - #include "geodesic.h" - @endcode - in your source code. If you are using the library via proj.4, change - this to @code{.c} - #include - @endcode -- Make calls to the geodesic routines from your code. The interface to - the library is documented in geodesic.h. -- Compile and link as described above. -- If linking with proj.4, you might want to check that the version of - proj.4 contains the geodesic routines. You can do this with @code{.c} - #include - #if PJ_VERSION >= 490 - #include - #endif - ... - @endcode - -- You can check the version of the geodesic library with, e.g., - @code{.c} - #if GEODESIC_VERSION >= GEODESIC_VERSION_NUM(1,40,0) - ... - #endif - @endcode - -\section external-c External links - -- These algorithms are derived in C. F. F. Karney, - - Algorithms for geodesics, - J. Geodesy 87, 43--55 (2013) - ( addenda). -- A longer paper on geodesics: C. F. F. Karney, - Geodesics - on an ellipsoid of revolution, - Feb. 2011 - ( - errata). -- - Main project page -- - GeographicLib web site - - Documentation on the C++ classes: GeographicLib::Geodesic, - GeographicLib::GeodesicLine, GeographicLib::PolygonAreaT. - - The section in the %GeographicLib documentation on geodesics: \ref - geodesic. -- - git repository -- Implementations in various languages - - C++ (complete library): - - documentation, - - download; - - C (geodesic routines): - - documentation, also included with recent versions of - - PROJ; - - Fortran (geodesic routines): - - documentation; - - Java (geodesic routines): - - Maven Central package, - - documentation; - - JavaScript (geodesic routines): - - npm package, - - documentation; - - Python (geodesic routines): - - PyPI package, - - documentation; - - Matlab/Octave (geodesic and some other routines): - - Matlab Central package, - - documentation; - - C# (.NET wrapper for complete C++ library): - - documentation. -- - A geodesic bibliography. -- The wikipedia page, - - Geodesics on an ellipsoid. - -\section changes-c Change log - - - Version 1.50 - (released 2019-09-22) - - Allow arbitrarily complex polygons in geod_polygon_*. In the case - of self-intersecting polygons the area is accumulated - "algebraically", e.g., the areas of the 2 loops in a figure-8 - polygon will partially cancel. - - Workaround bugs in fmod and sin in Visual Studio 10, 11, and 12 and - relax delta for GeodSolve59 in geodtest (tagged v1.49.1-c). - - Fix bug in geod_polygon_addedge which caused the count of pole - encirclings to be wrong, sometimes resulting in an incorrect area - if a polygon vertex had longitude = 0 (tagged v1.49.2-c). - - - Version 1.49 - (released 2017-10-05) - - Fix more warning messages from some compilers; add tests. - - - Version 1.48 - (released 2017-04-09) - - This is the version slated for the version of proj.4 after 4.9.4 - (tagged v1.48.1-c). - - Fix warnings messages from some compilers. - - Change default range for longitude and azimuth to - (−180°, 180°] (instead of - [−180°, 180°)). - - - Version 1.47 - (released 2017-02-15) - - This is the version incorporated into proj.4 version 4.9.3 (tagged - v1.46.1-c). - - Fix the order of declarations, incorporating the patches in version - 1.46.1. - - Improve accuracy of area calculation (fixing a flaw introduced in - version 1.46). - - - Version 1.46 - (released 2016-02-15) - - Add s13 and a13 to the geod_geodesicline struct. - - Add geod_directline, geod_gendirectline, and geod_inverseline. - - More accurate inverse solution when longitude difference is close - to 180°. - - - Version 1.45 - (released 2015-09-30) - - The solution of the inverse problem now correctly returns NaNs if - one of the latitudes is a NaN. - - Include a test suite that can be run with "make test" after - configuring with cmake. - - Add geod_polygon_clear(). - - - Version 1.44 - (released 2015-08-14) - - This is the version incorporated into proj.4 version 4.9.2. - - Improve accuracy of calculations by evaluating trigonometric - functions more carefully and replacing the series for the reduced - length with one with a smaller truncation error. - - The allowed ranges for longitudes and azimuths is now unlimited; - it used to be [−540°, 540°). - - Enforce the restriction of latitude to [−90°, 90°] by - returning NaNs if the latitude is outside this range. - - The inverse calculation sets \e s12 to zero for coincident points - at pole (instead of returning a tiny quantity). - - - Version 1.40 - (released 2014-12-18) - - This is the version incorporated into proj.4 version 4.9.1. - - - Version 1.32 - (released 2013-07-12) - - This is the version incorporated into proj.4 version 4.9.0. - -**********************************************************************/ diff --git a/libs/GeographicLib-1.50.1/doc/geodesic-for.dox b/libs/GeographicLib-1.50.1/doc/geodesic-for.dox deleted file mode 100644 index 66a7fa156685f6cc9a220184ab844bdb62a76ef9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/geodesic-for.dox +++ /dev/null @@ -1,225 +0,0 @@ -// -*- text -*- -/** - * \file geodesic-for.dox - * \brief Documentation for geodesic routines implemented in Fortran - * - * Written by Charles Karney and licensed under the - * MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -/** -\mainpage Geodesic routines implemented in Fortran -\author Charles F. F. Karney (charles@karney.com) -\version 1.50 - -The documentation for other versions is available at -https://geographiclib.sourceforge.io/m.nn/Fortran for versions numbers -m.nn ≥ 1.28. - -\section abstract-for Abstract - -This is a Fortran implementation of the geodesic algorithms from GeographicLib. This is a -self-contained library which makes it easy to do geodesic computations -for an ellipsoid of revolution in a Fortran program. It is written in -Fortran 77 (avoiding features which are now deprecated) and should -compile correctly with just about any Fortran compiler. - -\section download-for Downloading the source - -The Fortran library is part of %GeographicLib which available for download at -- - GeographicLib-1.50.tar.gz -- - GeographicLib-1.50.zip -. -as either a compressed tar file (tar.gz) or a zip file. After unpacking -the source, the Fortran library can be found in the directory -legacy/Fortran. The library consists of the file -geodesic.for. The Fortran-90 interface is defined in geodesic.inc. - -Licensed under the -MIT/X11 License; see -LICENSE.txt. - -\section doc-for Library documentation - -Here is the -\link geodesic.for application programming interface\endlink -for the library (this is just the documentation for the source file, -geodesic.for). - -\section samples-for Sample programs - -Also included are 3 small test programs: - - geoddirect.for is a simple command line utility for solving the - direct geodesic problem; - - geodinverse.for is a simple command line utility for solving the - inverse geodesic problem; - - planimeter.for is a simple command line utility for computing the - area of a geodesic polygon given its vertices. - . -Here, for example, is geodinverse.for -\include geodinverse.for -To compile, link, and run this, you would typically use \verbatim -f95 -o geodinverse geodinverse.for geodesic.for -echo 30 0 29.5 179.5 | ./geodinverse \endverbatim -These sample programs can also be built with the supplied cmake file, -CMakeLists.txt, as follows \verbatim -mkdir BUILD -cd BUILD -cmake .. -make -make test -echo 30 0 29.5 179.5 | ./geodinverse \endverbatim - -Finally, the two programs - - ngsforward - - ngsinverse - . -which are also built with cmake, provide drop-in replacements for -replacements for the NGS tools FORWARD and INVERSE available from -http://www.ngs.noaa.gov/PC_PROD/Inv_Fwd/. -These cure two problems of the Vincenty algorithms used by NGS: - - the accuracy is "only" 0.1 mm; - - the inverse program sometimes goes into an infinite loop. - . -The corresponding source files - - ngsforward.for - - ngsinverse.for - - ngscommon.for - . -are derived from the NGS source files - - forward.for, version 2.0, dated 2002-08-21 - - inverse.for, version 3.0, dated 2012-11-04 - . -and are therefore in the public domain. - -\section library-for Using the library - -- Optionally put @code{.for} - include "geodesic.inc" - @endcode - in declaration section of your subroutines. -- make calls to the geodesic routines from your code. The interface to - the library is documented in geodesic.for. -- Compile and link as described above. - -\section external-for External links - -- These algorithms are derived in C. F. F. Karney, - - Algorithms for geodesics, - J. Geodesy 87, 43--55 (2013) - ( addenda). -- A longer paper on geodesics: C. F. F. Karney, - Geodesics - on an ellipsoid of revolution, - Feb. 2011 - ( - errata). -- - Main project page -- - GeographicLib web site - - Documentation on the C++ classes: GeographicLib::Geodesic, - GeographicLib::GeodesicLine, GeographicLib::PolygonAreaT. - - The section in the %GeographicLib documentation on geodesics: \ref - geodesic. -- - git repository -- Implementations in various languages - - C++ (complete library): - - documentation, - - download; - - C (geodesic routines): - - documentation, also included with recent versions of - - proj.4; - - Fortran (geodesic routines): - - documentation; - - Java (geodesic routines): - - Maven Central package, - - documentation; - - JavaScript (geodesic routines): - - npm package, - - documentation; - - Python (geodesic routines): - - PyPI package, - - documentation; - - Matlab/Octave (geodesic and some other routines): - - Matlab Central package, - - documentation; - - C# (.NET wrapper for complete C++ library): - - documentation. -- - A geodesic bibliography. -- The wikipedia page, - - Geodesics on an ellipsoid. - -\section changes-for Change log - - - Version 1.50 - (released 2019-09-24) - - Allow arbitrarily complex polygons in area. In the case of - self-intersecting polygons the area is accumulated "algebraically", - e.g., the areas of the 2 loops in a figure-8 polygon will partially - cancel. - - - Version 1.49 - (released 2017-10-05) - - Fix code formatting and add two tests. - - - Version 1.48 - (released 2017-04-09) - - Change default range for longitude and azimuth to - (−180°, 180°] (instead of - [−180°, 180°)). - - - Version 1.47 - (released 2017-02-15) - - Improve accuracy of area calculation (fixing a flaw introduced in - version 1.46). - - - Version 1.46 - (released 2016-02-15) - - More accurate inverse solution when longitude difference is close - to 180°. - - - Version 1.45 - (released 2015-09-30) - - The solution of the inverse problem now correctly returns NaNs if - one of the latitudes is a NaN. - - Include a test suite that can be run with "make test" after - configuring with cmake. - - The library now treats latitudes outside the range [−90°, - 90°] as NaNs; so the sample programs no longer check for legal - values of latitude. - - - Version 1.44 - (released 2015-08-14) - - Improve accuracy of calculations by evaluating trigonometric - functions more carefully and replacing the series for the reduced - length with one with a smaller truncation error. - - The allowed ranges for longitudes and azimuths is now unlimited; - it used to be [−540°, 540°). - - The sample programs, geoddirect and geodinverse, enforce the - restriction of latitude to [−90°, 90°]. - - The inverse calculation sets \e s12 to zero for coincident points - at pole (instead of returning a tiny quantity). -**********************************************************************/ diff --git a/libs/GeographicLib-1.50.1/doc/geodseries30.html b/libs/GeographicLib-1.50.1/doc/geodseries30.html deleted file mode 100644 index fd84f40f3c36dff8972d36310edb23ed236ae282..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/geodseries30.html +++ /dev/null @@ -1,1718 +0,0 @@ - - - - Series for geodesic calculations - - - -

- Series for geodesic calculations -

-This extends the series given -here to 30th order in the -flattening. See -
- Charles F. F. Karney,
- - Algorithms for geodesics,
- J. Geodesy 87(1), 43–55 (Jan. 2013);
- DOI: - - 10.1007/s00190-012-0578-z - (pdf); - addenda: - geod-addenda.html. -
- - 
-// Generated by Maxima on 2012-10-19 10:41:58-04:00
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-        + 42177/4294967296 * eps^18
-        + 446131/42949672960 * eps^20
-        + 27835817/4398046511104 * eps^22
-        + 42180321/8796093022208 * eps^24
-        + 4019599397/1125899906842624 * eps^26
-        + 6244603111/2251799813685248 * eps^28
-        + 316153750539/144115188075855872 * eps^30;
-C1[11] = - 4199/5767168 * eps^11
-        + 4199/8388608 * eps^13
-        - 2907/67108864 * eps^15
-        + 10013/268435456 * eps^17
-        + 35207/4294967296 * eps^19
-        + 4694805/549755813888 * eps^21
-        + 23148175/4398046511104 * eps^23
-        + 70365265/17592186044416 * eps^25
-        + 3370190355/1125899906842624 * eps^27
-        + 42049539055/18014398509481984 * eps^29;
-C1[12] = - 29393/50331648 * eps^12
-        + 6783/16777216 * eps^14
-        - 18411/536870912 * eps^16
-        + 6137/201326592 * eps^18
-        + 7611495/1099511627776 * eps^20
-        + 7835163/1099511627776 * eps^22
-        + 468146111/105553116266496 * eps^24
-        + 59462469/17592186044416 * eps^26
-        + 91557125181/36028797018963968 * eps^28
-        + 214950398465/108086391056891904 * eps^30;
-C1[13] = - 52003/109051904 * eps^13
-        + 22287/67108864 * eps^15
-        - 7429/268435456 * eps^17
-        + 869193/34359738368 * eps^19
-        + 3247347/549755813888 * eps^21
-        + 26486133/4398046511104 * eps^23
-        + 66500935/17592186044416 * eps^25
-        + 12703797/4398046511104 * eps^27
-        + 39283195529/18014398509481984 * eps^29;
-C1[14] = - 185725/469762048 * eps^14
-        + 37145/134217728 * eps^16
-        - 780045/34359738368 * eps^18
-        + 1461765/68719476736 * eps^20
-        + 22372215/4398046511104 * eps^22
-        + 45260895/8796093022208 * eps^24
-        + 57244355/17592186044416 * eps^26
-        + 306953515/123145302310912 * eps^28
-        + 272204273085/144115188075855872 * eps^30;
-C1[15] = - 22287/67108864 * eps^15
-        + 1002915/4294967296 * eps^17
-        - 648945/34359738368 * eps^19
-        + 1243265/68719476736 * eps^21
-        + 19425915/4398046511104 * eps^23
-        + 78089301/17592186044416 * eps^25
-        + 12427015/4398046511104 * eps^27
-        + 610648965/281474976710656 * eps^29;
-C1[16] = - 9694845/34359738368 * eps^16
-        + 1710855/8589934592 * eps^18
-        - 4372185/274877906944 * eps^20
-        + 4272135/274877906944 * eps^22
-        + 543781755/140737488355328 * eps^24
-        + 271745805/70368744177664 * eps^26
-        + 5567912565/2251799813685248 * eps^28
-        + 4284219735/2251799813685248 * eps^30;
-C1[17] = - 17678835/73014444032 * eps^17
-        + 5892945/34359738368 * eps^19
-        - 930465/68719476736 * eps^21
-        + 59239605/4398046511104 * eps^23
-        + 59859915/17592186044416 * eps^25
-        + 930465/274877906944 * eps^27
-        + 613284315/281474976710656 * eps^29;
-C1[18] = - 21607465/103079215104 * eps^18
-        + 10235115/68719476736 * eps^20
-        - 51175575/4398046511104 * eps^22
-        + 103488385/8796093022208 * eps^24
-        + 53036505/17592186044416 * eps^26
-        + 52551045/17592186044416 * eps^28
-        + 278415054335/144115188075855872 * eps^30;
-C1[19] = - 119409675/652835028992 * eps^19
-        + 71645805/549755813888 * eps^21
-        - 44352165/4398046511104 * eps^23
-        + 182060985/17592186044416 * eps^25
-        + 2953215/1099511627776 * eps^27
-        + 47776802115/18014398509481984 * eps^29;
-C1[20] = - 176726319/1099511627776 * eps^20
-        + 126233085/1099511627776 * eps^22
-        - 309844845/35184372088832 * eps^24
-        + 161159235/17592186044416 * eps^26
-        + 86652277095/36028797018963968 * eps^28
-        + 426519840213/180143985094819840 * eps^30;
-C1[21] = - 547010035/3848290697216 * eps^21
-        + 447553665/4398046511104 * eps^23
-        - 136211985/17592186044416 * eps^25
-        + 9182417465/1125899906842624 * eps^27
-        + 38976086565/18014398509481984 * eps^29;
-C1[22] = - 6116566755/48378511622144 * eps^22
-        + 797813055/8796093022208 * eps^24
-        - 7712192865/1125899906842624 * eps^26
-        + 16434948933/2251799813685248 * eps^28
-        + 281701652697/144115188075855872 * eps^30;
-C1[23] = - 11435320455/101155069755392 * eps^23
-        + 11435320455/140737488355328 * eps^25
-        - 6861192273/1125899906842624 * eps^27
-        + 3694488147/562949953421312 * eps^29;
-C1[24] = - 57176602275/562949953421312 * eps^24
-        + 20583576819/281474976710656 * eps^26
-        - 49083913953/9007199254740992 * eps^28
-        + 160153129039/27021597764222976 * eps^30;
-C1[25] = - 322476036831/3518437208883200 * eps^25
-        + 74417546961/1125899906842624 * eps^27
-        - 2756205443/562949953421312 * eps^29;
-C1[26] = - 1215486600363/14636698788954112 * eps^26
-        + 135054066707/2251799813685248 * eps^28
-        - 636683457333/144115188075855872 * eps^30;
-C1[27] = - 2295919134019/30399297484750848 * eps^27
-        + 983965343151/18014398509481984 * eps^29;
-C1[28] = - 2483341104143/36028797018963968 * eps^28
-        + 1798281489207/36028797018963968 * eps^30;
-C1[29] = - 32968493968795/522417556774977536 * eps^29;
-C1[30] = - 125280277081421/2161727821137838080 * eps^30;
-
-C1'[1] = + 1/2 * eps
-         - 9/32 * eps^3
-         + 205/1536 * eps^5
-         - 4879/73728 * eps^7
-         + 9039/327680 * eps^9
-         - 1050467/88473600 * eps^11
-         + 512031157/118908518400 * eps^13
-         - 1086005273/591900180480 * eps^15
-         + 4075676109451/7671026339020800 * eps^17
-         - 794840669327713/2761569482047488000 * eps^19
-         + 2239087029841367/77148607752437760000 * eps^21
-         - 40730402540905726093/641567822069272412160000 * eps^23
-         - 97668067278655185143/4927240873492012125388800 * eps^25
-         - 741941887011669089199917/28784819522671853552271360000 * eps^27
-         - 68324470839108426239947872773/3917038240645185831393086668800000 * eps^29;
-C1'[2] = + 5/16 * eps^2
-         - 37/96 * eps^4
-         + 1335/4096 * eps^6
-         - 86171/368640 * eps^8
-         + 4119073/28311552 * eps^10
-         - 18357853/220200960 * eps^12
-         + 167645485631/3805072588800 * eps^14
-         - 2133468723257/95887829237760 * eps^16
-         + 59947666093201/5682241732608000 * eps^18
-         - 29889474712770151/6075452860504473600 * eps^20
-         + 3112904386445139443/1458108686521073664000 * eps^22
-         - 4531132450329984761/4728107532256542720000 * eps^24
-         + 1671560053825711640749861/4483789194877731034103808000 * eps^26
-         - 1539092646053487110737563637/8743388930011575516502425600000 * eps^28
-         + 3620358411657954539738131669/69636235389247748113654874112000 * eps^30;
-C1'[3] = + 29/96 * eps^3
-         - 75/128 * eps^5
-         + 2901/4096 * eps^7
-         - 443327/655360 * eps^9
-         + 1152507/2097152 * eps^11
-         - 1170339447/2936012800 * eps^13
-         + 14896648073/56371445760 * eps^15
-         - 1719099273321/10522669875200 * eps^17
-         + 440255022166233/4629974745088000 * eps^19
-         - 4689329894241941/88895515105689600 * eps^21
-         + 4309464445273351209/154085559516528640000 * eps^23
-         - 77740899024366984327/5423811694981808128000 * eps^25
-         + 4025440507207669842667/569500227973089853440000 * eps^27
-         - 10783702637849849812840017/3158827931157405053747200000 * eps^29;
-C1'[4] = + 539/1536 * eps^4
-         - 2391/2560 * eps^6
-         + 1082857/737280 * eps^8
-         - 2722891/1548288 * eps^10
-         + 6190623251/3523215360 * eps^12
-         - 2198240553463/1426902220800 * eps^14
-         + 835898387989583/684913065984000 * eps^16
-         - 62186045114429/69759664128000 * eps^18
-         + 39435262997832698047/64804830512047718400 * eps^20
-         - 14876456230497799912553/37910825849547915264000 * eps^22
-         + 1136134446936925800945877/4717791661277073899520000 * eps^24
-         - 45093458223482404762480843/318450937136202488217600000 * eps^26
-         + 3448586228525796468187820868401/43044376270826217927396556800000 * eps^28
-         - 9267292123878690223760617403717/211395714574502092487880867840000 * eps^30;
-C1'[5] = + 3467/7680 * eps^5
-         - 28223/18432 * eps^7
-         + 1361343/458752 * eps^9
-         - 211942939/49545216 * eps^11
-         + 289319933243/57076088832 * eps^13
-         - 2641923029237/507343011840 * eps^15
-         + 164922300524827/34441342746624 * eps^17
-         - 326226244879987219/81006038140059648 * eps^19
-         + 905728657830831557/288021468942434304 * eps^21
-         - 78322584746542259177147/33968099961194932076544 * eps^23
-         + 13053248693785337495272007/8152343990686783698370560 * eps^25
-         - 1878086576945897568602243/1771373509087498680139776 * eps^27
-         + 39401408426156638969274880529/58540351728323656381259317248 * eps^29;
-C1'[6] = + 38081/61440 * eps^6
-         - 733437/286720 * eps^8
-         + 10820079/1835008 * eps^10
-         - 547525831/55050240 * eps^12
-         + 45741465549/3355443200 * eps^14
-         - 41464506827097/2583691264000 * eps^16
-         + 33307900611667019/1984274890752000 * eps^18
-         - 29549592050928009/1851989898035200 * eps^20
-         + 1510642276897435153959/107859891661570048000 * eps^22
-         - 3379725045215031439859/294163340895191040000 * eps^24
-         + 3068085809843886425921127/345151653317024153600000 * eps^26
-         - 120481724276440955567319861/18440959762938147635200000 * eps^28
-         + 5351579260607165516870592929/1166336466888888019845120000 * eps^30;
-C1'[7] = + 459485/516096 * eps^7
-         - 709743/163840 * eps^9
-         + 983638957/84934656 * eps^11
-         - 570327360331/25480396800 * eps^13
-         + 2524677004673/72477573120 * eps^15
-         - 3979901788209089/86103356866560 * eps^17
-         + 145501072048061969477/2686424734236672000 * eps^19
-         - 767257565495432565461/13372425343755878400 * eps^21
-         + 576429350583276368332877/10315870979468820480000 * eps^23
-         - 15049813241233902040230469/297097084208702029824000 * eps^25
-         + 1656087831553847819569877/38371513250126757888000 * eps^27
-         - 222870544090985685701249717628901/6400184226857542607280537600000 * eps^29;
-C1'[8] = + 109167851/82575360 * eps^8
-         - 550835669/74317824 * eps^10
-         + 29797006823/1321205760 * eps^12
-         - 13775344174277/280284364800 * eps^14
-         + 51602655250575029/602723498065920 * eps^16
-         - 229269121915303969/1813751267328000 * eps^18
-         + 83019178881141641377/506287738375372800 * eps^20
-         - 132324024533588768532907/691082762882383872000 * eps^22
-         + 396326201752354956063673999/1935504271293158522880000 * eps^24
-         - 703889408095319694872984797279/3464746196041883071807488000 * eps^26
-         + 673066976958864232412288090929279/3563738944500222588144844800000 * eps^28
-         - 3842435239091994304467908471778509/23172222559128113984248479744000 * eps^30;
-C1'[9] = + 83141299/41287680 * eps^9
-         - 1172993649/91750400 * eps^11
-         + 1409193884757/32296140800 * eps^13
-         - 8205463797521/77510737920 * eps^15
-         + 6267340235329209/30709016166400 * eps^17
-         - 9985904736500570067/30094835843072000 * eps^19
-         + 6818098564242858298663/14445521204674560000 * eps^21
-         - 81179814711559538793297/134824864576962560000 * eps^23
-         + 8228623619106009640781583/11735156212778821222400 * eps^25
-         - 10637423815896802535794719059/14082187455334585466880000 * eps^27
-         + 2713138463299280056775410984179/3567487488684761651609600000 * eps^29;
-C1'[10] = + 9303339907/2972712960 * eps^10
-         - 32258337779/1453326336 * eps^12
-         + 105458791111591/1255673954304 * eps^14
-         - 21991423000897853/97942568435712 * eps^16
-         + 440758100714976799/928640648871936 * eps^18
-         - 4436414286264685342183/5265392479103877120 * eps^20
-         + 11983230751430888047165/9190503236254040064 * eps^22
-         - 438407397616490706337835/243037752247606837248 * eps^24
-         + 503750725100748248754169576435/221743756546680516595679232 * eps^26
-         - 200204949675864221817037957885535/75836364738964736675722297344 * eps^28
-         + 15426622123776978643737455613179549/5392808159215270163606918922240 * eps^30;
-C1'[11] = + 230944143253/46714060800 * eps^11
-         - 13820996202863/356725555200 * eps^13
-         + 530891275077073/3297729576960 * eps^15
-         - 5861919724284516433/12465417800908800 * eps^17
-         + 25885301781901909490837/23933602177744896000 * eps^19
-         - 110706057667150724184229/53185782617210880000 * eps^21
-         + 2719521302806552306469953613/781192775081593405440000 * eps^23
-         - 233567275961905041708130573/44996703844699780153344 * eps^25
-         + 798884301221118236917664805229/113666887205034582343680000 * eps^27
-         - 9934805882969858378831722690837171/1133916936886434459864268800000 * eps^29;
-C1'[12] = + 306777964441/38755368960 * eps^12
-         - 57044595387963/839699660800 * eps^14
-         + 11568981229047951/37618544803840 * eps^16
-         - 687397289384966383/705347715072000 * eps^18
-         + 233327560280127272763/96303474697830400 * eps^20
-         - 3739229605202668172763/744163213574144000 * eps^22
-         + 65835782650063594518691/7289762092154880000 * eps^24
-         - 14792936433071373028889379/1024668970784915456000 * eps^26
-         + 74599042152248060866262559758871/3567487488684761651609600000 * eps^28
-         - 16680060316657855648846944446971/599337898099039957470412800 * eps^30;
-C1'[13] = + 2615671472444983/204047017574400 * eps^13
-         - 1167820427927323/9766352977920 * eps^15
-         + 24715664579918728243/42190644864614400 * eps^17
-         - 5067175041833532570683/2531438691876864000 * eps^19
-         + 93543614041472271515281/17487017757219225600 * eps^21
-         - 11792083140833533278156043493/991513906834330091520000 * eps^23
-         + 8268814159710166088320187726251/361704273213163617386496000 * eps^25
-         - 24380431693719066689532645995167/625167879627690202890240000 * eps^27
-         + 40946727771183021563590563999653687303/680582760477888662474430873600000 * eps^29;
-C1'[14] = + 34216519493594561/1632376140595200 * eps^14
-         - 1477329715340046517/6995897745408000 * eps^16
-         + 9229913663063228233/8291434364928000 * eps^18
-         - 18633370679636805385039/4566922048202342400 * eps^20
-         + 613651924549596407462456317/52610941995290984448000 * eps^22
-         - 30737516008559329681484121827/1110675442122809671680000 * eps^24
-         + 271813271604582464710892651024459/4798117909970537781657600000 * eps^26
-         - 20699812425639174189936631117519897/201520952218762586829619200000 * eps^28
-         + 1211662551734777607545609062337329843/7206133351721085009678827520000 * eps^30;
-C1'[15] = + 177298287500753/5129801564160 * eps^15
-         - 5627790514610829/15047417921536 * eps^17
-         + 17279798906736629091/8185795349315584 * eps^19
-         - 115931060832532759571/14032792027398144 * eps^21
-         + 2003356613292569725398363/79631417158142001152 * eps^23
-         - 101051987173195622011224471/1592628343162840023040 * eps^25
-         + 756303360522076489366917931/5488442290284248694784 * eps^27
-         - 5815559636408944974046175630559/21975722930298131773915136 * eps^29;
-C1'[16] = + 1259425185539653127243/21939135329599488000 * eps^16
-         - 2293308899647899314723/3453382412992512000 * eps^18
-         + 21460336637287899464532611/5370700328685954662400 * eps^20
-         - 25456489696915892609916529129/1530649593675497078784000 * eps^22
-         + 2553846684009183021840672953/47515526935735173120000 * eps^24
-         - 29538537350054556934382434071434011/205719305389986807388569600000 * eps^26
-         + 3770295466320560881269963263089000511/11433662446938214136964710400000 * eps^28
-         - 519676261197496743489350631148600190213/777234965004088823221667758080000 * eps^30;
-C1'[17] = + 1789450487559418666447/18648265030159564800 * eps^17
-         - 233343808292218091539949/197452217966395392000 * eps^19
-         + 20146628393835035886855197/2667798856079297740800 * eps^21
-         - 239929099187527215432793286501/7203056911414103900160000 * eps^23
-         + 62988069927933679012075753421807/553194770796603179532288000 * eps^25
-         - 3378232317776013495553552510617097/10517530210207023413329920000 * eps^27
-         + 7314657081705017862640836634319879174339/9405196215175528617136147660800000 * eps^29;
-C1'[18] = + 212221079284639273481/1315574252568576000 * eps^18
-         - 1260552943986821598063/598192737065369600 * eps^20
-         + 3546697789798651658576181/248848178619193753600 * eps^22
-         - 78517248057208956823851421/1182310350905671680000 * eps^24
-         + 1067601202019151639052958889147/4459359360855952064512000 * eps^26
-         - 40116098461444544658667493570308857/56410895914827793616076800000 * eps^28
-         + 392210563613343460551402383435826349/216617840312938727485734912000 * eps^30;
-C1'[19] = + 69532546869173713149501223/255108265612582846464000 * eps^19
-         - 112316728120020126447652781/29837224048255303680000 * eps^21
-         + 4848022300045341835150543297447/180455531043848076656640000 * eps^23
-         - 125642956497967669586988251237879/952805203911517844747059200 * eps^25
-         + 33298130071722823747096176158055463/66596830966654998455255040000 * eps^27
-         - 6563632449843987460043036353052098320209/4207587780473262802403013427200000 * eps^29;
-C1'[20] = + 5810177473683430838091097/12559176153234847825920 * eps^20
-         - 4618600293785993240609142923/685731017966622691295232 * eps^22
-         + 1356670146516048832626691899799/26819702036027909703991296 * eps^24
-         - 2172503519024023685991761815076867/8327517482186665963089297408 * eps^26
-         + 3793117143067735304052463936462682647/3654590529325348262658617376768 * eps^28
-         - 48227737126007159325773215007655970673/14212296502931909910339067576320 * eps^30;
-C1'[21] = + 80853671585727628548617/102547326354063360000 * eps^21
-         - 33710670766735229663452761/2793193841644011520000 * eps^23
-         + 7824467166805891507557010233/82231626697999699148800 * eps^25
-         - 12690496274820158383049352282653/24669488009399909744640000 * eps^27
-         + 56382836432185917384773311978295199/26314120543359903727616000000 * eps^29;
-C1'[22] = + 924898009889615635728755915083/685731017966622691295232000 * eps^22
-         - 34498885534979583771510062454227/1593112465983062818160640000 * eps^24
-         + 579153806014612787074377437506223/3238703930845567705625395200 * eps^26
-         - 1569950058036065954085485531335819511/1552386282642142415290368000000 * eps^28
-         + 13441093380769154612428393473490856259941/3053881893191980641891039313920000 * eps^30;
-C1'[23] = + 4016551943902862119978017069801911/1734899475455555408976936960000 * eps^23
-         - 7042743315770579684284446742015447/181032988743188390501941248000 * eps^25
-         + 600397969311873169056555916083822001/1787980135735193980266086400000 * eps^27
-         - 223977408534083722217209433995298286356287/112964584975749555673211338752000000 * eps^29;
-C1'[24] = + 33730424938117851020161782371647/8461634387224169042411520000 * eps^24
-         - 2466848731962947446637554898208789/35256809946767371010048000000 * eps^26
-         + 9241553981242966860439405699656735351/14666832937855226340179968000000 * eps^28
-         - 34121931746328650162120952716097657509/8800099762713135804107980800000 * eps^30;
-C1'[25] = + 251959060076566669691445659637541/36604472449172158079513395200 * eps^25
-         - 10775075917257378388661547627353189/85536969693571680015929573376 * eps^27
-         + 7072923673224417550895367212096744699801/5986219287034920454234815263145984 * eps^29;
-C1'[26] = + 18043464502912016496703680586663352917/1514094087670302902379872256000000 * eps^26
-         - 15705330809648579467084357186039173723679/69182452928935378770280316928000000 * eps^28
-         + 762509129435444486126998095414252687404107/344374876801811663212062022041600000 * eps^30;
-C1'[27] = + 819021838914972651233426418104059459/39600448932209111118485913600000 * eps^27
-         - 4425211305648392775905209005851207973/10807140059472272040132608000000 * eps^29;
-C1'[28] = + 137344334847260471742767128830849077140799/3817741892241658452955877081088000000 * eps^28
-         - 3056545074816755404384556140143837530441/4134995887021777596105338388480000 * eps^30;
-C1'[29] = + 2381352350093111938327626556685002210278872879/37975078602127776631552109325582336000000 * eps^29;
-C1'[30] = + 20034557328168749612075941075238883149/182929433787470496587153418485760 * eps^30;
-
-A2 = (1 - 3/4 * eps^2
-        - 7/64 * eps^4
-        - 11/256 * eps^6
-        - 375/16384 * eps^8
-        - 931/65536 * eps^10
-        - 10143/1048576 * eps^12
-        - 29403/4194304 * eps^14
-        - 5705271/1073741824 * eps^16
-        - 17892875/4294967296 * eps^18
-        - 230480679/68719476736 * eps^20
-        - 758158843/274877906944 * eps^22
-        - 40605577103/17592186044416 * eps^24
-        - 137919912459/70368744177664 * eps^26
-        - 1897157659375/1125899906842624 * eps^28
-        - 6593830148475/4503599627370496 * eps^30) / (1 + eps);
-
-C2[1] = + 1/2 * eps
-        + 1/16 * eps^3
-        + 1/32 * eps^5
-        + 41/2048 * eps^7
-        + 59/4096 * eps^9
-        + 727/65536 * eps^11
-        + 1171/131072 * eps^13
-        + 498409/67108864 * eps^15
-        + 848479/134217728 * eps^17
-        + 11768921/2147483648 * eps^19
-        + 20705249/4294967296 * eps^21
-        + 2359256231/549755813888 * eps^23
-        + 4242171053/1099511627776 * eps^25
-        + 61534748221/17592186044416 * eps^27
-        + 112374407161/35184372088832 * eps^29;
-C2[2] = + 3/16 * eps^2
-        + 1/32 * eps^4
-        + 35/2048 * eps^6
-        + 47/4096 * eps^8
-        + 557/65536 * eps^10
-        + 875/131072 * eps^12
-        + 365987/67108864 * eps^14
-        + 615099/134217728 * eps^16
-        + 8448195/2147483648 * eps^18
-        + 14747697/4294967296 * eps^20
-        + 1669842701/549755813888 * eps^22
-        + 2986894505/1099511627776 * eps^24
-        + 43136495023/17592186044416 * eps^26
-        + 78481301201/35184372088832 * eps^28
-        + 294392827406755/144115188075855872 * eps^30;
-C2[3] = + 5/48 * eps^3
-        + 5/256 * eps^5
-        + 23/2048 * eps^7
-        + 191/24576 * eps^9
-        + 385/65536 * eps^11
-        + 39277/8388608 * eps^13
-        + 778613/201326592 * eps^15
-        + 879927/268435456 * eps^17
-        + 6084639/2147483648 * eps^19
-        + 512739193/206158430208 * eps^21
-        + 1215236729/549755813888 * eps^23
-        + 4364918719/2199023255552 * eps^25
-        + 94882584065/52776558133248 * eps^27
-        + 29549676515117/18014398509481984 * eps^29;
-C2[4] = + 35/512 * eps^4
-        + 7/512 * eps^6
-        + 133/16384 * eps^8
-        + 47/8192 * eps^10
-        + 73859/16777216 * eps^12
-        + 59533/16777216 * eps^14
-        + 1587387/536870912 * eps^16
-        + 169365/67108864 * eps^18
-        + 301539693/137438953472 * eps^20
-        + 265958173/137438953472 * eps^22
-        + 7594835095/4398046511104 * eps^24
-        + 3421780579/2199023255552 * eps^26
-        + 50930607972739/36028797018963968 * eps^28
-        + 46591933629593/36028797018963968 * eps^30;
-C2[5] = + 63/1280 * eps^5
-        + 21/2048 * eps^7
-        + 51/8192 * eps^9
-        + 2343/524288 * eps^11
-        + 29099/8388608 * eps^13
-        + 946609/335544320 * eps^15
-        + 635521/268435456 * eps^17
-        + 8729875/4294967296 * eps^19
-        + 122017589/68719476736 * eps^21
-        + 864489227/549755813888 * eps^23
-        + 15483449661/10995116277760 * eps^25
-        + 1433014740399/1125899906842624 * eps^27
-        + 20884832418219/18014398509481984 * eps^29;
-C2[6] = + 77/2048 * eps^6
-        + 33/4096 * eps^8
-        + 2607/524288 * eps^10
-        + 11363/3145728 * eps^12
-        + 189893/67108864 * eps^14
-        + 311117/134217728 * eps^16
-        + 25213345/12884901888 * eps^18
-        + 14502017/8589934592 * eps^20
-        + 814144243/549755813888 * eps^22
-        + 4341484325/3298534883328 * eps^24
-        + 1331147570487/1125899906842624 * eps^26
-        + 2412694071441/2251799813685248 * eps^28
-        + 422949801695839/432345564227567616 * eps^30;
-C2[7] = + 429/14336 * eps^7
-        + 429/65536 * eps^9
-        + 2145/524288 * eps^11
-        + 1573/524288 * eps^13
-        + 158899/67108864 * eps^15
-        + 1047631/536870912 * eps^17
-        + 7110437/4294967296 * eps^19
-        + 86245121/60129542144 * eps^21
-        + 694168021/549755813888 * eps^23
-        + 158428784829/140737488355328 * eps^25
-        + 1141580229945/1125899906842624 * eps^27
-        + 518508038199/562949953421312 * eps^29;
-C2[8] = + 6435/262144 * eps^8
-        + 715/131072 * eps^10
-        + 14443/4194304 * eps^12
-        + 10673/4194304 * eps^14
-        + 4339205/2147483648 * eps^16
-        + 898561/536870912 * eps^18
-        + 24498667/17179869184 * eps^20
-        + 21302303/17179869184 * eps^22
-        + 616428279683/562949953421312 * eps^24
-        + 275528165297/281474976710656 * eps^26
-        + 7960491282361/9007199254740992 * eps^28
-        + 7246735300607/9007199254740992 * eps^30;
-C2[9] = + 12155/589824 * eps^9
-        + 2431/524288 * eps^11
-        + 1547/524288 * eps^13
-        + 441779/201326592 * eps^15
-        + 940321/536870912 * eps^17
-        + 6258091/4294967296 * eps^19
-        + 32109515/25769803776 * eps^21
-        + 4780137299/4398046511104 * eps^23
-        + 135454151123/140737488355328 * eps^25
-        + 8739550412095/10133099161583616 * eps^27
-        + 439310252633/562949953421312 * eps^29;
-C2[10] = + 46189/2621440 * eps^10
-        + 4199/1048576 * eps^12
-        + 172159/67108864 * eps^14
-        + 257431/134217728 * eps^16
-        + 6604381/4294967296 * eps^18
-        + 55148051/42949672960 * eps^20
-        + 4844658589/4398046511104 * eps^22
-        + 8475408793/8796093022208 * eps^24
-        + 963016659745/1125899906842624 * eps^26
-        + 1729685026007/2251799813685248 * eps^28
-        + 100354915132471/144115188075855872 * eps^30;
-C2[11] = + 88179/5767168 * eps^11
-        + 29393/8388608 * eps^13
-        + 151487/67108864 * eps^15
-        + 455107/268435456 * eps^17
-        + 5860189/4294967296 * eps^19
-        + 628398115/549755813888 * eps^21
-        + 4324974541/4398046511104 * eps^23
-        + 15169948479/17592186044416 * eps^25
-        + 863724574545/1125899906842624 * eps^27
-        + 12434905703529/18014398509481984 * eps^29;
-C2[12] = + 676039/50331648 * eps^12
-        + 52003/16777216 * eps^14
-        + 1077205/536870912 * eps^16
-        + 304589/201326592 * eps^18
-        + 1343185487/1099511627776 * eps^20
-        + 1128482143/1099511627776 * eps^22
-        + 93435460751/105553116266496 * eps^24
-        + 13685462553/17592186044416 * eps^26
-        + 24983462965221/36028797018963968 * eps^28
-        + 67559103579581/108086391056891904 * eps^30;
-C2[13] = + 1300075/109051904 * eps^13
-        + 185725/67108864 * eps^15
-        + 482885/268435456 * eps^17
-        + 46765555/34359738368 * eps^19
-        + 605955125/549755813888 * eps^21
-        + 4083133535/4398046511104 * eps^23
-        + 14117902665/17592186044416 * eps^25
-        + 776981055/1099511627776 * eps^27
-        + 11367459987135/18014398509481984 * eps^29;
-C2[14] = + 5014575/469762048 * eps^14
-        + 334305/134217728 * eps^16
-        + 55828935/34359738368 * eps^18
-        + 84736485/68719476736 * eps^20
-        + 4403236035/4398046511104 * eps^22
-        + 7434490215/8796093022208 * eps^24
-        + 12878639895/17592186044416 * eps^26
-        + 79525490115/123145302310912 * eps^28
-        + 83239672976625/144115188075855872 * eps^30;
-C2[15] = + 646323/67108864 * eps^15
-        + 9694845/4294967296 * eps^17
-        + 50755365/34359738368 * eps^19
-        + 77241935/68719476736 * eps^21
-        + 4023100545/4398046511104 * eps^23
-        + 13613065131/17592186044416 * eps^25
-        + 738265615/1099511627776 * eps^27
-        + 166992644595/281474976710656 * eps^29;
-C2[16] = + 300540195/34359738368 * eps^16
-        + 17678835/8589934592 * eps^18
-        + 371255535/274877906944 * eps^20
-        + 283171515/274877906944 * eps^22
-        + 118236358635/140737488355328 * eps^24
-        + 50102128545/70368744177664 * eps^26
-        + 1393471517565/2251799813685248 * eps^28
-        + 1233068062875/2251799813685248 * eps^30;
-C2[17] = + 583401555/73014444032 * eps^17
-        + 64822395/34359738368 * eps^19
-        + 85292625/68719476736 * eps^21
-        + 4172515215/4398046511104 * eps^23
-        + 13636584885/17592186044416 * eps^25
-        + 2894056305/4398046511104 * eps^27
-        + 161224515885/281474976710656 * eps^29;
-C2[18] = + 756261275/103079215104 * eps^18
-        + 119409675/68719476736 * eps^20
-        + 5039088285/4398046511104 * eps^22
-        + 7718413945/8796093022208 * eps^24
-        + 12634163925/17592186044416 * eps^26
-        + 10741625085/17592186044416 * eps^28
-        + 76701028811195/144115188075855872 * eps^30;
-C2[19] = + 4418157975/652835028992 * eps^19
-        + 883631595/549755813888 * eps^21
-        + 4670624145/4398046511104 * eps^23
-        + 14333193015/17592186044416 * eps^25
-        + 2937289215/4398046511104 * eps^27
-        + 10243215614805/18014398509481984 * eps^29;
-C2[20] = + 6892326441/1099511627776 * eps^20
-        + 1641030105/1099511627776 * eps^22
-        + 34760001315/35184372088832 * eps^24
-        + 13355260815/17592186044416 * eps^26
-        + 22452476602335/36028797018963968 * eps^28
-        + 95701981543233/180143985094819840 * eps^30;
-C2[21] = + 22427411435/3848290697216 * eps^21
-        + 6116566755/4398046511104 * eps^23
-        + 16222198785/17592186044416 * eps^25
-        + 798965451635/1125899906842624 * eps^27
-        + 10507463872035/18014398509481984 * eps^29;
-C2[22] = + 263012370465/48378511622144 * eps^22
-        + 11435320455/8796093022208 * eps^24
-        + 972002238675/1125899906842624 * eps^26
-        + 1498026979605/2251799813685248 * eps^28
-        + 78899312939325/144115188075855872 * eps^30;
-C2[23] = + 514589420475/101155069755392 * eps^23
-        + 171529806825/140737488355328 * eps^25
-        + 912538572309/1125899906842624 * eps^27
-        + 352031942007/562949953421312 * eps^29;
-C2[24] = + 2687300306925/562949953421312 * eps^24
-        + 322476036831/281474976710656 * eps^26
-        + 6871220169399/9007199254740992 * eps^28
-        + 15922598844211/27021597764222976 * eps^30;
-C2[25] = + 15801325804719/3518437208883200 * eps^25
-        + 1215486600363/1125899906842624 * eps^27
-        + 405162200121/562949953421312 * eps^29;
-C2[26] = + 61989816618513/14636698788954112 * eps^26
-        + 2295919134019/2251799813685248 * eps^28
-        + 98068545867383/144115188075855872 * eps^30;
-C2[27] = + 121683714103007/30399297484750848 * eps^27
-        + 17383387729001/18014398509481984 * eps^29;
-C2[28] = + 136583760727865/36028797018963968 * eps^28
-        + 32968493968795/36028797018963968 * eps^30;
-C2[29] = + 1879204156221315/522417556774977536 * eps^29;
-C2[30] = + 7391536347803839/2161727821137838080 * eps^30;
-
-A3 = 1 - (1/2 - 1/2*n) * eps
-       - (1/4 + 1/8*n - 3/8*n^2) * eps^2
-       - (1/16 + 3/16*n + 1/16*n^2 - 5/16*n^3) * eps^3
-       - (3/64 + 1/32*n + 5/32*n^2 + 5/128*n^3 - 35/128*n^4) * eps^4
-       - (3/128 + 5/128*n + 5/256*n^2 + 35/256*n^3 + 7/256*n^4 - 63/256*n^5) * eps^5
-       - (5/256 + 15/1024*n + 35/1024*n^2 + 7/512*n^3 + 63/512*n^4 + 21/1024*n^5 - 231/1024*n^6) * eps^6
-       - (25/2048 + 35/2048*n + 21/2048*n^2 + 63/2048*n^3 + 21/2048*n^4 + 231/2048*n^5 + 33/2048*n^6 - 429/2048*n^7) * eps^7
-       - (175/16384 + 35/4096*n + 63/4096*n^2 + 63/8192*n^3 + 231/8192*n^4 + 33/4096*n^5 + 429/4096*n^6 + 429/32768*n^7 - 6435/32768*n^8) * eps^8
-       - (245/32768 + 315/32768*n + 105/16384*n^2 + 231/16384*n^3 + 99/16384*n^4 + 429/16384*n^5 + 429/65536*n^6 + 6435/65536*n^7 + 715/65536*n^8 - 12155/65536*n^9) * eps^9
-       - (441/65536 + 735/131072*n + 1155/131072*n^2 + 165/32768*n^3 + 429/32768*n^4 + 1287/262144*n^5 + 6435/262144*n^6 + 715/131072*n^7 + 12155/131072*n^8 + 2431/262144*n^9 - 46189/262144*n^10) * eps^10
-       - (1323/262144 + 1617/262144*n + 1155/262144*n^2 + 2145/262144*n^3 + 2145/524288*n^4 + 6435/524288*n^5 + 2145/524288*n^6 + 12155/524288*n^7 + 2431/524288*n^8 + 46189/524288*n^9 + 4199/524288*n^10 - 88179/524288*n^11) * eps^11
-       - (4851/1048576 + 2079/524288*n + 3003/524288*n^2 + 15015/4194304*n^3 + 32175/4194304*n^4 + 3575/1048576*n^5 + 12155/1048576*n^6 + 7293/2097152*n^7 + 46189/2097152*n^8 + 4199/1048576*n^9 + 88179/1048576*n^10 + 29393/4194304*n^11 - 676039/4194304*n^12) * eps^12
-       - (7623/2097152 + 9009/2097152*n + 27027/8388608*n^2 + 45045/8388608*n^3 + 25025/8388608*n^4 + 60775/8388608*n^5 + 12155/4194304*n^6 + 46189/4194304*n^7 + 12597/4194304*n^8 + 88179/4194304*n^9 + 29393/8388608*n^10 + 676039/8388608*n^11 + 52003/8388608*n^12 - 1300075/8388608*n^13) * eps^13
-       - (14157/4194304 + 99099/33554432*n + 135135/33554432*n^2 + 45045/16777216*n^3 + 85085/16777216*n^4 + 85085/33554432*n^5 + 230945/33554432*n^6 + 20995/8388608*n^7 + 88179/8388608*n^8 + 88179/33554432*n^9 + 676039/33554432*n^10 + 52003/16777216*n^11 + 1300075/16777216*n^12 + 185725/33554432*n^13 - 5014575/33554432*n^14) * eps^14
-       - (184041/67108864 + 212355/67108864*n + 165165/67108864*n^2 + 255255/67108864*n^3 + 153153/67108864*n^4 + 323323/67108864*n^5 + 146965/67108864*n^6 + 440895/67108864*n^7 + 146965/67108864*n^8 + 676039/67108864*n^9 + 156009/67108864*n^10 + 1300075/67108864*n^11 + 185725/67108864*n^12 + 5014575/67108864*n^13 + 334305/67108864*n^14) * eps^15
-       - (2760615/1073741824 + 306735/134217728*n + 401115/134217728*n^2 + 561561/268435456*n^3 + 969969/268435456*n^4 + 264537/134217728*n^5 + 617253/134217728*n^6 + 1028755/536870912*n^7 + 3380195/536870912*n^8 + 260015/134217728*n^9 + 1300075/134217728*n^10 + 557175/268435456*n^11 + 5014575/268435456*n^12 + 334305/134217728*n^13) * eps^16
-       - (4601025/2147483648 + 5214495/2147483648*n + 1042899/536870912*n^2 + 1524237/536870912*n^3 + 969969/536870912*n^4 + 1851759/536870912*n^5 + 1851759/1073741824*n^6 + 4732273/1073741824*n^7 + 1820105/1073741824*n^8 + 6500375/1073741824*n^9 + 928625/536870912*n^10 + 5014575/536870912*n^11 + 1002915/536870912*n^12) * eps^17
-       - (8690825/4294967296 + 15643485/8589934592*n + 19815081/8589934592*n^2 + 1801371/1073741824*n^3 + 2909907/1073741824*n^4 + 6789783/4294967296*n^5 + 14196819/4294967296*n^6 + 3276189/2147483648*n^7 + 9100525/2147483648*n^8 + 6500375/4294967296*n^9 + 25072875/4294967296*n^10 + 1671525/1073741824*n^11) * eps^18
-       - (29548805/17179869184 + 33025135/17179869184*n + 27020565/17179869184*n^2 + 37828791/17179869184*n^3 + 12609597/8589934592*n^4 + 22309287/8589934592*n^5 + 12012693/8589934592*n^6 + 27301575/8589934592*n^7 + 11700675/8589934592*n^8 + 35102025/8589934592*n^9 + 11700675/8589934592*n^10) * eps^19
-       - (112285459/68719476736 + 51038845/34359738368*n + 63047985/34359738368*n^2 + 189143955/137438953472*n^3 + 290020731/137438953472*n^4 + 22309287/17179869184*n^5 + 42902475/17179869184*n^6 + 42902475/34359738368*n^7 + 105306075/34359738368*n^8 + 21061215/17179869184*n^9) * eps^20
-       - (193947611/137438953472 + 214363149/137438953472*n + 357271915/274877906944*n^2 + 483367885/274877906944*n^3 + 334639305/274877906944*n^4 + 557732175/274877906944*n^5 + 79676025/68719476736*n^6 + 165480975/68719476736*n^7 + 77224455/68719476736*n^8) * eps^21
-       - (370263621/274877906944 + 1357633277/1099511627776*n + 1643450809/1099511627776*n^2 + 632096465/549755813888*n^3 + 929553625/549755813888*n^4 + 1195140375/1099511627776*n^5 + 2151252675/1099511627776*n^6 + 143416845/137438953472*n^7) * eps^22
-       - (2591845347/2199023255552 + 2838687761/2199023255552*n + 2401966567/2199023255552*n^2 + 3160482325/2199023255552*n^3 + 2257487375/2199023255552*n^4 + 3585421125/2199023255552*n^5 + 2151252675/2199023255552*n^6) * eps^23
-       - (19870814327/17592186044416 + 4585572537/4398046511104*n + 5459014925/4398046511104*n^2 + 8578452025/8796093022208*n^3 + 12190431825/8796093022208*n^4 + 4063477275/4398046511104*n^5) * eps^24
-       - (35156056117/35184372088832 + 38213104475/35184372088832*n + 16377044775/17592186044416*n^2 + 21056200425/17592186044416*n^3 + 15441213645/17592186044416*n^4) * eps^25
-       - (67607800225/70368744177664 + 125557343275/140737488355328*n + 147393402975/140737488355328*n^2 + 29478680595/35184372088832*n^3) * eps^26
-       - (241456429375/281474976710656 + 260772943725/281474976710656*n + 226003217895/281474976710656*n^2) * eps^27
-       - (931331941875/1125899906842624 + 434621572875/562949953421312*n) * eps^28
-       - 1676397495375/2251799813685248 * eps^29;
-
-C3[1] = + (1/4 - 1/4*n) * eps
-        + (1/8 - 1/8*n^2) * eps^2
-        + (3/64 + 3/64*n - 1/64*n^2 - 5/64*n^3) * eps^3
-        + (5/128 + 1/64*n + 1/64*n^2 - 1/64*n^3 - 7/128*n^4) * eps^4
-        + (3/128 + 11/512*n + 3/512*n^2 + 1/256*n^3 - 7/512*n^4 - 21/512*n^5) * eps^5
-        + (21/1024 + 5/512*n + 13/1024*n^2 + 1/512*n^3 - 1/1024*n^4 - 3/256*n^5 - 33/1024*n^6) * eps^6
-        + (243/16384 + 189/16384*n + 83/16384*n^2 + 127/16384*n^3 + 3/16384*n^4 - 51/16384*n^5 - 165/16384*n^6 - 429/16384*n^7) * eps^7
-        + (435/32768 + 109/16384*n + 1/128*n^2 + 45/16384*n^3 + 39/8192*n^4 - 11/16384*n^5 - 33/8192*n^6 - 143/16384*n^7 - 715/32768*n^8) * eps^8
-        + (345/32768 + 953/131072*n + 259/65536*n^2 + 365/65536*n^3 + 95/65536*n^4 + 47/16384*n^5 - 143/131072*n^6 - 143/32768*n^7 - 1001/131072*n^8 - 2431/131072*n^9) * eps^9
-        + (2511/262144 + 317/65536*n + 1355/262144*n^2 + 165/65536*n^3 + 531/131072*n^4 + 89/131072*n^5 + 107/65536*n^6 - 169/131072*n^7 - 1157/262144*n^8 - 221/32768*n^9 - 4199/262144*n^10) * eps^10
-        + (8401/1048576 + 5327/1048576*n + 807/262144*n^2 + 8243/2097152*n^3 + 3415/2097152*n^4 + 6235/2097152*n^5 + 429/2097152*n^6 + 845/1048576*n^7 - 2873/2097152*n^8 - 9061/2097152*n^9 - 12597/2097152*n^10 - 29393/2097152*n^11) * eps^11
-        + (15477/2097152 + 969/262144*n + 15445/4194304*n^2 + 2237/1048576*n^3 + 6429/2097152*n^4 + 2183/2097152*n^5 + 9169/4194304*n^6 - 197/2097152*n^7 + 1019/4194304*n^8 - 2907/2097152*n^9 - 8721/2097152*n^10 - 11305/2097152*n^11 - 52003/4194304*n^12) * eps^12
-        + (26789/4194304 + 63733/16777216*n + 40995/16777216*n^2 + 1517/524288*n^3 + 25475/16777216*n^4 + 40625/16777216*n^5 + 5365/8388608*n^6 + 839/524288*n^7 - 595/2097152*n^8 - 2431/16777216*n^9 - 22933/16777216*n^10 - 33269/8388608*n^11 - 81719/16777216*n^12 - 185725/16777216*n^13) * eps^13
-        + (199327/33554432 + 49237/16777216*n + 93101/33554432*n^2 + 29853/16777216*n^3 + 78579/33554432*n^4 + 285/262144*n^5 + 64637/33554432*n^6 + 3015/8388608*n^7 + 38843/33554432*n^8 - 6783/16777216*n^9 - 13889/33554432*n^10 - 22287/16777216*n^11 - 126293/33554432*n^12 - 37145/8388608*n^13 - 334305/33554432*n^14) * eps^14
-        + (5651931/1073741824 + 3197305/1073741824*n + 2129255/1073741824*n^2 + 2385073/1073741824*n^3 + 1438067/1073741824*n^4 + 2065081/1073741824*n^5 + 830627/1073741824*n^6 + 1651687/1073741824*n^7 + 172907/1073741824*n^8 + 879393/1073741824*n^9 - 515185/1073741824*n^10 - 645031/1073741824*n^11 - 1374365/1073741824*n^12 - 3825935/1073741824*n^13 - 4345965/1073741824*n^14) * eps^15
-        + (10594535/2147483648 + 2577049/1073741824*n + 2340339/1073741824*n^2 + 1599809/1073741824*n^3 + 1974139/1073741824*n^4 + 1095805/1073741824*n^5 + 855347/536870912*n^6 + 580477/1073741824*n^7 + 330109/268435456*n^8 + 20577/1073741824*n^9 + 598443/1073741824*n^10 - 564167/1073741824*n^11 - 783541/1073741824*n^12 - 1317555/1073741824*n^13) * eps^16
-        + (9550675/2147483648 + 20752127/8589934592*n + 7056899/4294967296*n^2 + 7580255/4294967296*n^3 + 4992507/4294967296*n^4 + 3321125/2147483648*n^5 + 3349163/4294967296*n^6 + 5700229/4294967296*n^7 + 1567945/4294967296*n^8 + 263547/268435456*n^9 - 355965/4294967296*n^10 + 1518119/4294967296*n^11 - 2366355/4294967296*n^12) * eps^17
-        + (72058593/17179869184 + 8629549/4294967296*n + 30360645/17179869184*n^2 + 5413229/4294967296*n^3 + 12734831/8589934592*n^4 + 3957093/4294967296*n^5 + 11280727/8589934592*n^6 + 2549757/4294967296*n^7 + 9531415/8589934592*n^8 + 993989/4294967296*n^9 + 6705875/8589934592*n^10 - 671807/4294967296*n^11) * eps^18
-        + (263253385/68719476736 + 138258975/68719476736*n + 23816915/17179869184*n^2 + 198093717/137438953472*n^3 + 69240987/68719476736*n^4 + 87088843/68719476736*n^5 + 50514007/68719476736*n^6 + 77115649/68719476736*n^7 + 30761115/68719476736*n^8 + 63886991/68719476736*n^9 + 8860067/68719476736*n^10) * eps^19
-        + (499116509/137438953472 + 29445517/17179869184*n + 403691887/274877906944*n^2 + 37063307/34359738368*n^3 + 336216217/274877906944*n^4 + 56373745/68719476736*n^5 + 9400419/8589934592*n^6 + 40361177/68719476736*n^7 + 4136725/4294967296*n^8 + 22806365/68719476736*n^9) * eps^20
-        + (921106197/274877906944 + 1880398291/1099511627776*n + 326574877/274877906944*n^2 + 661516723/549755813888*n^3 + 482354011/549755813888*n^4 + 1162954687/1099511627776*n^5 + 185209863/274877906944*n^6 + 261495221/274877906944*n^7 + 64353371/137438953472*n^8) * eps^21
-        + (7015755337/2199023255552 + 408123935/274877906944*n + 2737209361/2199023255552*n^2 + 128335869/137438953472*n^3 + 2262026963/2199023255552*n^4 + 100083329/137438953472*n^5 + 2032983351/2199023255552*n^6 + 152722157/274877906944*n^7) * eps^22
-        + (52217815849/17592186044416 + 25998927035/17592186044416*n + 18152051013/17592186044416*n^2 + 17993187773/17592186044416*n^3 + 13531950573/17592186044416*n^4 + 15783055573/17592186044416*n^5 + 1342789487/2199023255552*n^6) * eps^23
-        + (99797592861/35184372088832 + 22918110427/17592186044416*n + 9429859753/8796093022208*n^2 + 14370219019/17592186044416*n^3 + 15464224607/17592186044416*n^4 + 5696035625/8796093022208*n^5) * eps^24
-        + (93477766213/35184372088832 + 182178015931/140737488355328*n + 63784112813/70368744177664*n^2 + 15523581719/17592186044416*n^3 + 47802611279/70368744177664*n^4) * eps^25
-        + (716876091533/281474976710656 + 81306684531/70368744177664*n + 263375014467/281474976710656*n^2 + 50762313771/70368744177664*n^3) * eps^26
-        + (2701098070323/1125899906842624 + 1291014428313/1125899906842624*n + 905405918351/1125899906842624*n^2) * eps^27
-        + (5192918413211/2251799813685248 + 1164465998161/1125899906842624*n) * eps^28
-        + 4914956648311/2251799813685248 * eps^29;
-C3[2] = + (1/16 - 3/32*n + 1/32*n^2) * eps^2
-        + (3/64 - 1/32*n - 3/64*n^2 + 1/32*n^3) * eps^3
-        + (3/128 + 1/128*n - 9/256*n^2 - 3/128*n^3 + 7/256*n^4) * eps^4
-        + (5/256 + 1/256*n - 1/128*n^2 - 7/256*n^3 - 3/256*n^4 + 3/128*n^5) * eps^5
-        + (27/2048 + 69/8192*n - 39/8192*n^2 - 47/4096*n^3 - 41/2048*n^4 - 45/8192*n^5 + 165/8192*n^6) * eps^6
-        + (187/16384 + 39/8192*n + 31/16384*n^2 - 63/8192*n^3 - 185/16384*n^4 - 119/8192*n^5 - 33/16384*n^6 + 143/8192*n^7) * eps^7
-        + (287/32768 + 47/8192*n + 31/65536*n^2 - 3/2048*n^3 - 537/65536*n^4 - 41/4096*n^5 - 693/65536*n^6 + 1001/65536*n^8) * eps^8
-        + (255/32768 + 249/65536*n + 43/16384*n^2 - 119/65536*n^3 - 25/8192*n^4 - 507/65536*n^5 - 35/4096*n^6 - 507/65536*n^7 + 39/32768*n^8 + 221/16384*n^9) * eps^9
-        + (1675/262144 + 2127/524288*n + 753/524288*n^2 + 357/524288*n^3 - 3109/1048576*n^4 - 3873/1048576*n^5 - 1821/262144*n^6 - 1885/262144*n^7 - 2977/524288*n^8 + 1989/1048576*n^9 + 12597/1048576*n^10) * eps^10
-        + (6065/1048576 + 1551/524288*n + 75/32768*n^2 - 5/262144*n^3 - 1085/2097152*n^4 - 1815/524288*n^5 - 8057/2097152*n^6 - 1597/262144*n^7 - 12633/2097152*n^8 - 4369/1048576*n^9 + 4845/2097152*n^10 + 11305/1048576*n^11) * eps^11
-        + (10377/2097152 + 1585/524288*n + 12521/8388608*n^2 + 73/65536*n^3 - 7799/8388608*n^4 - 645/524288*n^5 - 1883/524288*n^6 - 7843/2097152*n^7 - 2769/524288*n^8 - 21165/4194304*n^9 - 25517/8388608*n^10 + 10659/4194304*n^11 + 81719/8388608*n^12) * eps^12
-        + (2381/524288 + 19679/8388608*n + 3951/2097152*n^2 + 4591/8388608*n^3 + 1267/4194304*n^4 - 6211/4194304*n^5 - 6839/4194304*n^6 - 3691/1048576*n^7 - 29513/8388608*n^8 - 38199/8388608*n^9 - 17765/4194304*n^10 - 18411/8388608*n^11 + 22287/8388608*n^12 + 37145/4194304*n^13) * eps^13
-        + (267955/67108864 + 1262293/536870912*n + 723929/536870912*n^2 + 300995/268435456*n^3 - 28407/268435456*n^4 - 136037/536870912*n^5 - 962677/536870912*n^6 - 122923/67108864*n^7 - 897497/268435456*n^8 - 1743367/536870912*n^9 - 2103053/536870912*n^10 - 957049/268435456*n^11 - 52003/33554432*n^12 + 1448655/536870912*n^13 + 4345965/536870912*n^14) * eps^14
-        + (3976491/1073741824 + 1022503/536870912*n + 1663043/1073741824*n^2 + 377461/536870912*n^3 + 604683/1073741824*n^4 - 298493/536870912*n^5 - 671633/1073741824*n^6 - 1045847/536870912*n^7 - 2047913/1073741824*n^8 - 1673607/536870912*n^9 - 3182937/1073741824*n^10 - 1808097/536870912*n^11 - 3232489/1073741824*n^12 - 565915/536870912*n^13 + 2890755/1073741824*n^14) * eps^15
-        + (7129743/2147483648 + 1015025/536870912*n + 5052845/4294967296*n^2 + 1096857/1073741824*n^3 + 1006901/4294967296*n^4 + 10157/67108864*n^5 - 3691453/4294967296*n^6 - 232785/268435456*n^7 - 8591613/4294967296*n^8 - 2045245/1073741824*n^9 - 12341583/4294967296*n^10 - 1443525/536870912*n^11 - 12440079/4294967296*n^12 - 2737805/1073741824*n^13) * eps^16
-        + (6667727/2147483648 + 6786587/4294967296*n + 2765703/2147483648*n^2 + 3065499/4294967296*n^3 + 1341327/2147483648*n^4 - 481047/4294967296*n^5 - 80463/536870912*n^6 - 4538443/4294967296*n^7 - 2183311/2147483648*n^8 - 8533921/4294967296*n^9 - 3983383/2147483648*n^10 - 11294905/4294967296*n^11 - 5218401/2147483648*n^12) * eps^17
-        + (48519273/17179869184 + 53624999/34359738368*n + 35043145/34359738368*n^2 + 31055675/34359738368*n^3 + 25399201/68719476736*n^4 + 10932099/34359738368*n^5 - 25183979/68719476736*n^6 - 12612269/34359738368*n^7 - 80897803/68719476736*n^8 - 37844017/34359738368*n^9 - 132790935/68719476736*n^10 - 61071857/34359738368*n^11) * eps^18
-        + (182709161/68719476736 + 45893303/34359738368*n + 37309115/34359738368*n^2 + 2893075/4294967296*n^3 + 21013705/34359738368*n^4 + 7175491/68719476736*n^5 + 2804597/34359738368*n^6 - 37828469/68719476736*n^7 - 17888297/34359738368*n^8 - 85404217/68719476736*n^9 - 39202063/34359738368*n^10) * eps^19
-        + (336130837/137438953472 + 180823959/137438953472*n + 487608355/549755813888*n^2 + 218243165/274877906944*n^3 + 227499107/549755813888*n^4 + 104333133/274877906944*n^5 - 13837431/137438953472*n^6 - 27388031/274877906944*n^7 - 93516413/137438953472*n^8 - 172126779/274877906944*n^9) * eps^20
-        + (636339537/274877906944 + 630601557/549755813888*n + 510119863/549755813888*n^2 + 339882125/549755813888*n^3 + 157181907/274877906944*n^4 + 57322697/274877906944*n^5 + 53319741/274877906944*n^6 - 35494201/137438953472*n^7 - 65167699/274877906944*n^8) * eps^21
-        + (4724647749/2199023255552 + 9924101863/8796093022208*n + 6828890391/8796093022208*n^2 + 3070661829/4398046511104*n^3 + 229152657/549755813888*n^4 + 3452592737/8796093022208*n^5 + 390195853/8796093022208*n^6 + 403726013/8796093022208*n^7) * eps^22
-        + (35940468233/17592186044416 + 8781999081/8796093022208*n + 14121810537/17592186044416*n^2 + 4938417863/8796093022208*n^3 + 9227803497/17592186044416*n^4 + 2245716697/8796093022208*n^5 + 2160045085/8796093022208*n^6) * eps^23
-        + (67197451821/35184372088832 + 8631642763/8796093022208*n + 48175476253/70368744177664*n^2 + 5424112681/8796093022208*n^3 + 28247205103/70368744177664*n^4 + 421237869/1099511627776*n^5) * eps^24
-        + (64142976365/35184372088832 + 61855152171/70368744177664*n + 385976459/549755813888*n^2 + 35768834103/70368744177664*n^3 + 16801928753/35184372088832*n^4) * eps^25
-        + (482598495517/281474976710656 + 486224128685/562949953421312*n + 342398306855/562949953421312*n^2 + 2408805385/4398046511104*n^3) * eps^26
-        + (1848743160243/1125899906842624 + 439979250473/562949953421312*n + 698099481901/1125899906842624*n^2) * eps^27
-        + (3494999262339/2251799813685248 + 1729207092437/2251799813685248*n) * eps^28
-        + 6713540223121/4503599627370496 * eps^29;
-C3[3] = + (5/192 - 3/64*n + 5/192*n^2 - 1/192*n^3) * eps^3
-        + (3/128 - 5/192*n - 1/64*n^2 + 5/192*n^3 - 1/128*n^4) * eps^4
-        + (7/512 - 1/384*n - 77/3072*n^2 + 5/3072*n^3 + 65/3072*n^4 - 9/1024*n^5) * eps^5
-        + (3/256 - 1/1024*n - 71/6144*n^2 - 47/3072*n^3 + 9/1024*n^4 + 25/1536*n^5 - 55/6144*n^6) * eps^6
-        + (139/16384 + 143/49152*n - 383/49152*n^2 - 179/16384*n^3 - 121/16384*n^4 + 547/49152*n^5 + 605/49152*n^6 - 143/16384*n^7) * eps^7
-        + (243/32768 + 95/49152*n - 41/16384*n^2 - 147/16384*n^3 - 389/49152*n^4 - 109/49152*n^5 + 557/49152*n^6 + 455/49152*n^7 - 273/32768*n^8) * eps^8
-        + (581/98304 + 377/131072*n - 33/16384*n^2 - 907/196608*n^3 - 515/65536*n^4 - 1937/393216*n^5 + 89/98304*n^6 + 2093/196608*n^7 + 455/65536*n^8 - 1547/196608*n^9) * eps^9
-        + (1383/262144 + 103/49152*n - 17/262144*n^2 - 127/32768*n^3 - 3853/786432*n^4 - 25/4096*n^5 - 2011/786432*n^6 + 265/98304*n^7 + 1895/196608*n^8 + 85/16384*n^9 - 969/131072*n^10) * eps^10
-        + (4649/1048576 + 7447/3145728*n - 77/393216*n^2 - 3663/2097152*n^3 - 9285/2097152*n^4 - 27433/6291456*n^5 - 27545/6291456*n^6 - 2627/3145728*n^7 + 22993/6291456*n^8 + 17969/2097152*n^9 + 8075/2097152*n^10 - 14535/2097152*n^11) * eps^11
-        + (8439/2097152 + 241/131072*n + 7829/12582912*n^2 - 1667/1048576*n^3 - 5295/2097152*n^4 - 26867/6291456*n^5 - 14817/4194304*n^6 - 18287/6291456*n^7 + 1505/4194304*n^8 + 25823/6291456*n^9 + 15827/2097152*n^10 + 17765/6291456*n^11 - 81719/12582912*n^12) * eps^12
-        + (58663/16777216 + 48239/25165824*n + 81155/201326592*n^2 - 108067/201326592*n^3 - 467735/201326592*n^4 - 550477/201326592*n^5 - 380633/100663296*n^6 - 269125/100663296*n^7 - 174181/100663296*n^8 + 9707/8388608*n^9 + 854981/201326592*n^10 + 444125/67108864*n^11 + 408595/201326592*n^12 - 408595/67108864*n^13) * eps^13
-        + (53929/16777216 + 313117/201326592*n + 317377/402653184*n^2 - 114511/201326592*n^3 - 62369/50331648*n^4 - 21877/8388608*n^5 - 1055003/402653184*n^6 - 106461/33554432*n^7 - 381119/201326592*n^8 - 55243/67108864*n^9 + 672619/402653184*n^10 + 846887/201326592*n^11 + 1166353/201326592*n^12 + 142025/100663296*n^13 - 766935/134217728*n^14) * eps^14
-        + (9205697/3221225472 + 1685361/1073741824*n + 631247/1073741824*n^2 - 12349/1073741824*n^3 - 1279425/1073741824*n^4 - 1722535/1073741824*n^5 - 8411347/3221225472*n^6 - 7543081/3221225472*n^7 - 2745069/1073741824*n^8 - 1319223/1073741824*n^9 - 150233/1073741824*n^10 + 6386185/3221225472*n^11 + 4360823/1073741824*n^12 + 16332875/3221225472*n^13 + 994175/1073741824*n^14) * eps^15
-        + (5698375/2147483648 + 1411153/1073741824*n + 633185/805306368*n^2 - 312125/3221225472*n^3 - 906475/1610612736*n^4 - 4985293/3221225472*n^5 - 1865903/1073741824*n^6 - 2632335/1073741824*n^7 - 2142387/1073741824*n^8 - 2132439/1073741824*n^9 - 137693/201326592*n^10 + 1176251/3221225472*n^11 + 3469849/1610612736*n^12 + 12431155/3221225472*n^13) * eps^16
-        + (5151335/2147483648 + 11221815/8589934592*n + 4004635/6442450944*n^2 + 352181/1610612736*n^3 - 7504877/12884901888*n^4 - 23563667/25769803776*n^5 - 7348445/4294967296*n^6 - 924507/536870912*n^7 - 4740015/2147483648*n^8 - 14053273/8589934592*n^9 - 2388169/1610612736*n^10 - 1600145/6442450944*n^11 + 9427907/12884901888*n^12) * eps^17
-        + (38568657/17179869184 + 2405303/2147483648*n + 12559943/17179869184*n^2 + 101021/805306368*n^3 - 3473571/17179869184*n^4 - 11685365/12884901888*n^5 - 57369983/51539607552*n^6 - 22445501/12884901888*n^7 - 27767351/17179869184*n^8 - 776185/402653184*n^9 - 22223933/17179869184*n^10 - 6776669/6442450944*n^11) * eps^18
-        + (141238745/68719476736 + 227781229/206158430208*n + 15439981/25769803776*n^2 + 129846877/412316860416*n^3 - 17007629/68719476736*n^4 - 34417161/68719476736*n^5 - 227700493/206158430208*n^6 - 82496459/68719476736*n^7 - 347760895/206158430208*n^8 - 100402157/68719476736*n^9 - 338650721/206158430208*n^10) * eps^19
-        + (266070741/137438953472 + 24865997/25769803776*n + 546610979/824633720832*n^2 + 23564155/103079215104*n^3 - 1988681/274877906944*n^4 - 35689789/68719476736*n^5 - 18022529/25769803776*n^6 - 82884377/68719476736*n^7 - 62369083/51539607552*n^8 - 108501709/68719476736*n^9) * eps^20
-        + (1476084109/824633720832 + 1042422451/1099511627776*n + 1838348957/3298534883328*n^2 + 1148287217/3298534883328*n^3 - 65602265/1099511627776*n^4 - 25911799/103079215104*n^5 - 1166561623/1649267441664*n^6 - 450241025/549755813888*n^7 - 4082983123/3298534883328*n^8) * eps^21
-        + (3727307793/2199023255552 + 2771727475/3298534883328*n + 1965618587/3298534883328*n^2 + 299691921/1099511627776*n^3 + 648655007/6597069766656*n^4 - 232283647/824633720832*n^5 - 1414792807/3298534883328*n^6 - 1364945647/1649267441664*n^7) * eps^22
-        + (27791243081/17592186044416 + 43484270377/52776558133248*n + 8988365213/17592186044416*n^2 + 6177195751/17592186044416*n^3 + 821647265/17592186044416*n^4 - 5244741905/52776558133248*n^5 - 5898760729/13194139533312*n^6) * eps^23
-        + (52866931869/35184372088832 + 13002628835/17592186044416*n + 28235801693/52776558133248*n^2 + 15115493921/52776558133248*n^3 + 1357399595/8796093022208*n^4 - 1176448685/8796093022208*n^5) * eps^24
-        + (49596004877/35184372088832 + 101897209187/140737488355328*n + 16392942713/35184372088832*n^2 + 35874509113/105553116266496*n^3 + 11256301655/105553116266496*n^4) * eps^25
-        + (378812456237/281474976710656 + 23082024431/35184372088832*n + 406385867693/844424930131968*n^2 + 30062357575/105553116266496*n^3) * eps^26
-        + (4287844495145/3377699720527872 + 723291681375/1125899906842624*n + 477936436199/1125899906842624*n^2) * eps^27
-        + (2738088177221/2251799813685248 + 1982787518731/3377699720527872*n) * eps^28
-        + 41515375436483/36028797018963968 * eps^29;
-C3[4] = + (7/512 - 7/256*n + 5/256*n^2 - 7/1024*n^3 + 1/1024*n^4) * eps^4
-        + (7/512 - 5/256*n - 7/2048*n^2 + 9/512*n^3 - 21/2048*n^4 + 1/512*n^5) * eps^5
-        + (9/1024 - 43/8192*n - 129/8192*n^2 + 39/4096*n^3 + 91/8192*n^4 - 91/8192*n^5 + 11/4096*n^6) * eps^6
-        + (127/16384 - 23/8192*n - 165/16384*n^2 - 47/8192*n^3 + 213/16384*n^4 + 11/2048*n^5 - 175/16384*n^6 + 13/4096*n^7) * eps^7
-        + (193/32768 + 3/8192*n - 505/65536*n^2 - 227/32768*n^3 + 75/65536*n^4 + 801/65536*n^5 + 165/131072*n^6 - 637/65536*n^7 + 455/131072*n^8) * eps^8
-        + (171/32768 + 25/65536*n - 259/65536*n^2 - 471/65536*n^3 - 351/131072*n^4 + 605/131072*n^5 + 41/4096*n^6 - 189/131072*n^7 - 1127/131072*n^8 + 119/32768*n^9) * eps^9
-        + (1121/262144 + 339/262144*n - 801/262144*n^2 - 2525/524288*n^3 - 2519/524288*n^4 + 73/131072*n^5 + 1539/262144*n^6 + 1989/262144*n^7 - 1633/524288*n^8 - 3927/524288*n^9 + 969/262144*n^10) * eps^10
-        + (2017/524288 + 273/262144*n - 1467/1048576*n^2 - 277/65536*n^3 - 4123/1048576*n^4 - 153/65536*n^5 + 1331/524288*n^6 + 1549/262144*n^7 + 5677/1048576*n^8 - 1071/262144*n^9 - 6783/1048576*n^10 + 969/262144*n^11) * eps^11
-        + (55215/16777216 + 11307/8388608*n - 2363/2097152*n^2 - 177843/67108864*n^3 - 268499/67108864*n^4 - 41907/16777216*n^5 - 6403/16777216*n^6 + 118801/33554432*n^7 + 179785/33554432*n^8 + 30345/8388608*n^9 - 154071/33554432*n^10 - 373065/67108864*n^11 + 245157/67108864*n^12) * eps^12
-        + (50365/16777216 + 2327/2097152*n - 47759/134217728*n^2 - 76829/33554432*n^3 - 383837/134217728*n^4 - 105473/33554432*n^5 - 74037/67108864*n^6 + 16197/16777216*n^7 + 260819/67108864*n^8 + 153431/33554432*n^9 + 294443/134217728*n^10 - 80465/16777216*n^11 - 639331/134217728*n^12 + 120175/33554432*n^13) * eps^13
-        + (2769/1048576 + 654529/536870912*n - 163129/536870912*n^2 - 372645/268435456*n^3 - 1430285/536870912*n^4 - 1335009/536870912*n^5 - 284489/134217728*n^6 + 987/33554432*n^7 + 482449/268435456*n^8 + 2057345/536870912*n^9 + 2007901/536870912*n^10 + 293645/268435456*n^11 - 2581359/536870912*n^12 - 2187185/536870912*n^13 + 937365/268435456*n^14) * eps^14
-        + (2615571/1073741824 + 552353/536870912*n + 90895/1073741824*n^2 - 652503/536870912*n^3 - 1983405/1073741824*n^4 - 680875/268435456*n^5 - 2001037/1073741824*n^6 - 156103/134217728*n^7 + 920027/1073741824*n^8 + 1204095/536870912*n^9 + 3815723/1073741824*n^10 + 1584867/536870912*n^11 + 278231/1073741824*n^12 - 315445/67108864*n^13 - 3736005/1073741824*n^14) * eps^15
-        + (4692619/2147483648 + 572057/536870912*n + 260179/4294967296*n^2 - 2984769/4294967296*n^3 - 3625809/2147483648*n^4 - 8162427/4294967296*n^5 - 18409849/8589934592*n^6 - 639067/536870912*n^7 - 3156661/8589934592*n^8 + 3027631/2147483648*n^9 + 162319/67108864*n^10 + 13593091/4294967296*n^11 + 9656343/4294967296*n^12 - 1568255/4294967296*n^13) * eps^16
-        + (4367867/2147483648 + 3942989/4294967296*n + 2323595/8589934592*n^2 - 2679169/4294967296*n^3 - 2473899/2147483648*n^4 - 15712829/8589934592*n^5 - 14665951/8589934592*n^6 - 14129447/8589934592*n^7 - 2450171/4294967296*n^8 + 529403/2147483648*n^9 + 14965037/8589934592*n^10 + 5189391/2147483648*n^11 + 5874821/2147483648*n^12) * eps^17
-        + (31803789/17179869184 + 31805471/34359738368*n + 7655783/34359738368*n^2 - 10716843/34359738368*n^3 - 18130187/17179869184*n^4 - 23156361/17179869184*n^5 - 60088211/34359738368*n^6 - 11928127/8589934592*n^7 - 9775259/8589934592*n^8 - 1657343/34359738368*n^9 + 23786693/34359738368*n^10 + 65561705/34359738368*n^11) * eps^18
-        + (119278493/68719476736 + 27869745/34359738368*n + 2944971/8589934592*n^2 - 10021441/34359738368*n^3 - 48412679/68719476736*n^4 - 43782451/34359738368*n^5 - 46594423/34359738368*n^6 - 52867989/34359738368*n^7 - 70453029/68719476736*n^8 - 23159185/34359738368*n^9 + 12551255/34359738368*n^10) * eps^19
-        + (109782837/68719476736 + 110884309/137438953472*n + 159981789/549755813888*n^2 - 106745493/1099511627776*n^3 - 717924527/1099511627776*n^4 - 15979315/17179869184*n^5 - 732221291/549755813888*n^6 - 21353761/17179869184*n^7 - 347832177/274877906944*n^8 - 732828227/1099511627776*n^9) * eps^20
-        + (414212295/274877906944 + 394066451/549755813888*n + 797767751/2199023255552*n^2 - 13938969/137438953472*n^3 - 922185663/2199023255552*n^4 - 241117663/274877906944*n^5 - 70260475/68719476736*n^6 - 702480169/549755813888*n^7 - 2332298309/2199023255552*n^8) * eps^21
-        + (3077054969/2199023255552 + 6225526419/8796093022208*n + 2760680993/8796093022208*n^2 + 107993597/4398046511104*n^3 - 3483012103/8796093022208*n^4 - 5569520181/8796093022208*n^5 - 4345994585/4398046511104*n^6 - 8944055483/8796093022208*n^7) * eps^22
-        + (23336011385/17592186044416 + 5594946455/8796093022208*n + 6303559381/17592186044416*n^2 + 78999975/8796093022208*n^3 - 4164504717/17592186044416*n^4 - 330002595/549755813888*n^5 - 3315820133/4398046511104*n^6) * eps^23
-        + (43652141925/35184372088832 + 5501899769/8796093022208*n + 22131275675/70368744177664*n^2 + 820267293/8796093022208*n^3 - 16179701905/70368744177664*n^4 - 1872775091/4398046511104*n^5) * eps^24
-        + (41556934973/35184372088832 + 39939504101/70368744177664*n + 753834291/2199023255552*n^2 + 5148539461/70368744177664*n^3 - 4176807933/35184372088832*n^4) * eps^25
-        + (312802619769/281474976710656 + 78374027619/140737488355328*n + 42845064993/140737488355328*n^2 + 18460662479/140737488355328*n^3) * eps^26
-        + (298867963845/281474976710656 + 71700391575/140737488355328*n + 45431388475/140737488355328*n^2) * eps^27
-        + (36174484487935/36028797018963968 + 8994085968251/18014398509481984*n) * eps^28
-        + 34671257326469/36028797018963968 * eps^29;
-C3[5] = + (21/2560 - 9/512*n + 15/1024*n^2 - 7/1024*n^3 + 9/5120*n^4 - 1/5120*n^5) * eps^5
-        + (9/1024 - 15/1024*n + 3/2048*n^2 + 57/5120*n^3 - 5/512*n^4 + 9/2560*n^5 - 1/2048*n^6) * eps^6
-        + (99/16384 - 91/16384*n - 781/81920*n^2 + 883/81920*n^3 + 319/81920*n^4 - 783/81920*n^5 + 387/81920*n^6 - 13/16384*n^7) * eps^7
-        + (179/32768 - 55/16384*n - 79/10240*n^2 - 27/81920*n^3 + 461/40960*n^4 - 139/81920*n^5 - 65/8192*n^6 + 441/81920*n^7 - 35/32768*n^8) * eps^8
-        + (141/32768 - 109/131072*n - 217/32768*n^2 - 219/65536*n^3 + 1559/327680*n^4 + 5431/655360*n^5 - 203/40960*n^6 - 1943/327680*n^7 + 369/65536*n^8 - 85/65536*n^9) * eps^9
-        + (1013/262144 - 15/32768*n - 5399/1310720*n^2 - 199/40960*n^3 + 1267/1310720*n^4 + 1007/163840*n^5 + 6277/1310720*n^6 - 527/81920*n^7 - 659/163840*n^8 + 459/81920*n^9 - 969/655360*n^10) * eps^10
-        + (6787/2097152 + 797/2097152*n - 34683/10485760*n^2 - 257/65536*n^3 - 7753/4194304*n^4 + 72641/20971520*n^5 + 115867/20971520*n^6 + 38817/20971520*n^7 - 142119/20971520*n^8 - 50133/20971520*n^9 + 113373/20971520*n^10 - 6783/4194304*n^11) * eps^11
-        + (12315/4194304 + 799/2097152*n - 41519/20971520*n^2 - 19671/5242880*n^3 - 93317/41943040*n^4 + 12949/20971520*n^5 + 18211/4194304*n^6 + 86317/20971520*n^7 - 2971/10485760*n^8 - 135789/20971520*n^9 - 11229/10485760*n^10 + 107217/20971520*n^11 - 14421/8388608*n^12) * eps^12
-        + (42753/16777216 + 11749/16777216*n - 534457/335544320*n^2 - 914519/335544320*n^3 - 953267/335544320*n^4 - 128591/335544320*n^5 + 354589/167772160*n^6 + 703457/167772160*n^7 + 433157/167772160*n^8 - 17697/10485760*n^9 - 1961579/335544320*n^10 - 2717/67108864*n^11 + 1600731/335544320*n^12 - 120175/67108864*n^13) * eps^13
-        + (78439/33554432 + 41589/67108864*n - 606887/671088640*n^2 - 813811/335544320*n^3 - 795669/335544320*n^4 - 126481/83886080*n^5 + 693943/671088640*n^6 + 92775/33554432*n^7 + 1181311/335544320*n^8 + 409551/335544320*n^9 - 1692661/671088640*n^10 - 1705561/335544320*n^11 + 124729/167772160*n^12 + 148005/33554432*n^13 - 246675/134217728*n^14) * eps^14
-        + (11153319/5368709120 + 806753/1073741824*n - 3945181/5368709120*n^2 - 9244317/5368709120*n^3 - 12780537/5368709120*n^4 - 8161927/5368709120*n^5 - 291353/1073741824*n^6 + 10250183/5368709120*n^7 + 15202259/5368709120*n^8 + 14255529/5368709120*n^9 + 710823/5368709120*n^10 - 3162357/1073741824*n^11 - 23067781/5368709120*n^12 + 1424137/1073741824*n^13 + 4351347/1073741824*n^14) * eps^15
-        + (4132007/2147483648 + 710105/1073741824*n - 969349/2684354560*n^2 - 1619999/1073741824*n^3 - 5011741/2684354560*n^4 - 9930299/5368709120*n^5 - 1564801/2684354560*n^6 + 3561709/5368709120*n^7 + 1553999/671088640*n^8 + 13695849/5368709120*n^9 + 4792721/2684354560*n^10 - 3635919/5368709120*n^11 - 8283611/2684354560*n^12 - 3808363/1073741824*n^13) * eps^16
-        + (3734859/2147483648 + 6155471/8589934592*n - 789297/2684354560*n^2 - 11355613/10737418240*n^3 - 37704683/21474836480*n^4 - 67981809/42949672960*n^5 - 4910633/4294967296*n^6 + 122353/536870912*n^7 + 13584809/10737418240*n^8 + 102204983/42949672960*n^9 + 22521571/10737418240*n^10 + 5393991/5368709120*n^11 - 26677631/21474836480*n^12) * eps^17
-        + (27894537/17179869184 + 341135/536870912*n - 6919577/85899345920*n^2 - 9962193/10737418240*n^3 - 116140263/85899345920*n^4 - 35024383/21474836480*n^5 - 93895333/85899345920*n^6 - 9724319/21474836480*n^7 + 71547201/85899345920*n^8 + 16957261/10737418240*n^9 + 38167643/17179869184*n^10 + 4254817/2684354560*n^11) * eps^18
-        + (102149077/68719476736 + 45149747/68719476736*n - 5268353/85899345920*n^2 - 438238873/687194767360*n^3 - 21374577/17179869184*n^4 - 229885771/171798691840*n^5 - 111314271/85899345920*n^6 - 190649511/343597383680*n^7 + 21780193/171798691840*n^8 + 42150359/34359738368*n^9 + 575291951/343597383680*n^10) * eps^19
-        + (191992897/137438953472 + 10102641/17179869184*n + 91038377/1374389534720*n^2 - 48406631/85899345920*n^3 - 1306192047/1374389534720*n^4 - 111829633/85899345920*n^5 - 775578061/687194767360*n^6 - 75280887/85899345920*n^7 - 41514599/687194767360*n^8 + 38659177/68719476736*n^9) * eps^20
-        + (355055163/274877906944 + 653193131/1099511627776*n + 347941049/5497558138880*n^2 - 2051760759/5497558138880*n^3 - 4780409067/5497558138880*n^4 - 2891926301/2748779069440*n^5 - 3246633917/2748779069440*n^6 - 2255299589/2748779069440*n^7 - 500938259/1099511627776*n^8) * eps^21
-        + (2684106857/2199023255552 + 589926107/1099511627776*n + 391603487/2748779069440*n^2 - 1831096049/5497558138880*n^3 - 7250179399/10995116277760*n^4 - 687030501/687194767360*n^5 - 2742957537/2748779069440*n^6 - 2629744457/2748779069440*n^7) * eps^22
-        + (20014266089/17592186044416 + 9415408371/17592186044416*n + 2280678869/17592186044416*n^2 - 18044662719/87960930222080*n^3 - 10627395203/17592186044416*n^4 - 70583370027/87960930222080*n^5 - 10917838539/10995116277760*n^6) * eps^23
-        + (38001723933/35184372088832 + 8573148395/17592186044416*n + 7931117147/43980465111040*n^2 - 16302072297/87960930222080*n^3 - 39871150043/87960930222080*n^4 - 33222569643/43980465111040*n^5) * eps^24
-        + (178265154501/175921860444160 + 67917412749/140737488355328*n + 7195977601/43980465111040*n^2 - 17107988587/175921860444160*n^3 - 73408496063/175921860444160*n^4) * eps^25
-        + (271858418651/281474976710656 + 3893205391/8796093022208*n + 277112865109/1407374883553280*n^2 - 1966777807/21990232555520*n^3) * eps^26
-        + (4103246283741/4503599627370496 + 1965390008631/4503599627370496*n + 4035517048233/22517998136852480*n^2) * eps^27
-        + (7848710341433/9007199254740992 + 1814136297259/4503599627370496*n) * eps^28
-        + 29752988542989/36028797018963968 * eps^29;
-C3[6] = + (11/2048 - 99/8192*n + 275/24576*n^2 - 77/12288*n^3 + 9/4096*n^4 - 11/24576*n^5 + 1/24576*n^6) * eps^6
-        + (99/16384 - 275/24576*n + 55/16384*n^2 + 167/24576*n^3 - 407/49152*n^4 + 35/8192*n^5 - 55/49152*n^6 + 1/8192*n^7) * eps^7
-        + (143/32768 - 253/49152*n - 1105/196608*n^2 + 481/49152*n^3 - 73/196608*n^4 - 169/24576*n^5 + 1067/196608*n^6 - 11/6144*n^7 + 15/65536*n^8) * eps^8
-        + (33/8192 - 221/65536*n - 23/4096*n^2 + 457/196608*n^3 + 267/32768*n^4 - 329/65536*n^5 - 69/16384*n^6 + 375/65536*n^7 - 77/32768*n^8 + 17/49152*n^9) * eps^9
-        + (1711/524288 - 4333/3145728*n - 16885/3145728*n^2 - 1343/1572864*n^3 + 17381/3145728*n^4 + 8519/2097152*n^5 - 42985/6291456*n^6 - 4885/3145728*n^7 + 8549/1572864*n^8 - 5797/2097152*n^9 + 969/2097152*n^10) * eps^10
-        + (6223/2097152 - 2827/3145728*n - 23731/6291456*n^2 - 8959/3145728*n^3 + 11937/4194304*n^4 + 32207/6291456*n^5 + 5071/12582912*n^6 - 42571/6291456*n^7 + 7489/12582912*n^8 + 10115/2097152*n^9 - 12749/4194304*n^10 + 1197/2097152*n^11) * eps^11
-        + (31829/12582912 - 647/4194304*n - 13305/4194304*n^2 - 23369/8388608*n^3 + 981/4194304*n^4 + 53003/12582912*n^5 + 161989/50331648*n^6 - 25313/12582912*n^7 - 288887/50331648*n^8 + 8937/4194304*n^9 + 204725/50331648*n^10 - 80465/25165824*n^11 + 33649/50331648*n^12) * eps^12
-        + (19409/8388608 - 143/4194304*n - 108221/50331648*n^2 - 37559/12582912*n^3 - 11319/16777216*n^4 + 110569/50331648*n^5 + 49103/12582912*n^6 + 19233/16777216*n^7 - 6811/2097152*n^8 - 73151/16777216*n^9 + 156973/50331648*n^10 + 165187/50331648*n^11 - 164197/50331648*n^12 + 6325/8388608*n^13) * eps^13
-        + (136403/67108864 + 149829/536870912*n - 951655/536870912*n^2 - 1940579/805306368*n^3 - 1290821/805306368*n^4 + 1817813/1610612736*n^5 + 4654573/1610612736*n^6 + 374953/134217728*n^7 - 210217/402653184*n^8 - 1945219/536870912*n^9 - 1593647/536870912*n^10 + 2958659/805306368*n^11 + 2038421/805306368*n^12 - 5245955/1610612736*n^13 + 444015/536870912*n^14) * eps^14
-        + (2013531/1073741824 + 153447/536870912*n - 3812959/3221225472*n^2 - 3623809/1610612736*n^3 - 1720969/1073741824*n^4 - 155419/1610612736*n^5 + 2321319/1073741824*n^6 + 1446653/536870912*n^7 + 4820965/3221225472*n^8 - 881605/536870912*n^9 - 11135251/3221225472*n^10 - 927839/536870912*n^11 + 12596617/3221225472*n^12 + 2976545/1610612736*n^13 - 3437005/1073741824*n^14) * eps^15
-        + (3610319/2147483648 + 689891/1610612736*n - 4192091/4294967296*n^2 - 5626007/3221225472*n^3 - 23482225/12884901888*n^4 - 63477/134217728*n^5 + 13148195/12884901888*n^6 + 2657655/1073741824*n^7 + 8738873/4294967296*n^8 + 89999/268435456*n^9 - 9718455/4294967296*n^10 - 9643399/3221225472*n^11 - 9027109/12884901888*n^12 + 1580215/402653184*n^13) * eps^16
-        + (3357815/2147483648 + 5140585/12884901888*n - 1357887/2147483648*n^2 - 20205383/12884901888*n^3 - 10165433/6442450944*n^4 - 12859795/12884901888*n^5 + 3376837/6442450944*n^6 + 20985541/12884901888*n^7 + 14739271/6442450944*n^8 + 5247007/4294967296*n^9 - 3621415/6442450944*n^10 - 32175059/12884901888*n^11 - 15465929/6442450944*n^12) * eps^17
-        + (73325191/51539607552 + 16029851/34359738368*n - 17954851/34359738368*n^2 - 124000031/103079215104*n^3 - 107691583/68719476736*n^4 - 26099447/25769803776*n^5 - 10228585/68719476736*n^6 + 124145675/103079215104*n^7 + 371070857/206158430208*n^8 + 11745371/6442450944*n^9 + 91139599/206158430208*n^10 - 30320905/25769803776*n^11) * eps^18
-        + (91563605/68719476736 + 44091817/103079215104*n - 10830499/34359738368*n^2 - 27517235/25769803776*n^3 - 268855985/206158430208*n^4 - 82123075/68719476736*n^5 - 69647705/206158430208*n^6 + 109205227/206158430208*n^7 + 319534237/206158430208*n^8 + 114455667/68719476736*n^9 + 64469791/51539607552*n^10) * eps^19
-        + (168518401/137438953472 + 189582913/412316860416*n - 142520949/549755813888*n^2 - 671006539/824633720832*n^3 - 2036680639/1649267441664*n^4 - 888938183/824633720832*n^5 - 275851423/412316860416*n^6 + 73762303/274877906944*n^7 + 200547467/206158430208*n^8 + 445330347/274877906944*n^9) * eps^20
-        + (317520693/274877906944 + 231509165/549755813888*n - 214107557/1649267441664*n^2 - 396525643/549755813888*n^3 - 278406799/274877906944*n^4 - 920067617/824633720832*n^5 - 564306103/824633720832*n^6 - 58960025/412316860416*n^7 + 595823299/824633720832*n^8) * eps^21
-        + (2358489413/2199023255552 + 11489787637/26388279066624*n - 908814505/8796093022208*n^2 - 2396614237/4398046511104*n^3 - 12411634453/13194139533312*n^4 - 8522185111/8796093022208*n^5 - 21849837611/26388279066624*n^6 - 2193761283/8796093022208*n^7) * eps^22
-        + (17864718441/17592186044416 + 10555835899/26388279066624*n - 1055263841/52776558133248*n^2 - 4259460285/8796093022208*n^3 - 40456260929/52776558133248*n^4 - 25125823283/26388279066624*n^5 - 20228133965/26388279066624*n^6) * eps^23
-        + (100244499991/105553116266496 + 7127188931/17592186044416*n - 2047769071/211106232532992*n^2 - 19029851431/52776558133248*n^3 - 49723762631/70368744177664*n^4 - 21473509045/26388279066624*n^5) * eps^24
-        + (7943510175/8796093022208 + 78919576567/211106232532992*n + 2396202703/52776558133248*n^2 - 67906408573/211106232532992*n^3 - 30263574227/52776558133248*n^4) * eps^25
-        + (956603287889/1125899906842624 + 2527332335909/6755399441055744*n + 105375782699/2251799813685248*n^2 - 394588464167/1688849860263936*n^3) * eps^26
-        + (3651975781065/4503599627370496 + 780981164949/2251799813685248*n + 378631414483/4503599627370496*n^2) * eps^27
-        + (6906351178529/9007199254740992 + 9311073056275/27021597764222976*n) * eps^28
-        + 13225333818489/18014398509481984 * eps^29;
-C3[7] = + (429/114688 - 143/16384*n + 143/16384*n^2 - 91/16384*n^3 + 39/16384*n^4 - 11/16384*n^5 + 13/114688*n^6 - 1/114688*n^7) * eps^7
-        + (143/32768 - 143/16384*n + 65/16384*n^2 + 65/16384*n^3 - 109/16384*n^4 + 507/114688*n^5 - 27/16384*n^6 + 39/114688*n^7 - 1/32768*n^8) * eps^8
-        + (429/131072 - 299/65536*n - 13/4096*n^2 + 269/32768*n^3 - 601/229376*n^4 - 989/229376*n^5 + 9475/1835008*n^6 - 4667/1835008*n^7 + 1157/1835008*n^8 - 17/262144*n^9) * eps^9
-        + (403/131072 - 13/4096*n - 521/131072*n^2 + 393/114688*n^3 + 1209/229376*n^4 - 11001/1835008*n^5 - 3979/3670016*n^6 + 8821/1835008*n^7 - 833/262144*n^8 + 429/458752*n^9 - 57/524288*n^10) * eps^10
-        + (5343/2097152 - 3345/2097152*n - 8863/2097152*n^2 + 2511/3670016*n^3 + 146613/29360128*n^4 + 27159/29360128*n^5 - 185267/29360128*n^6 + 47549/29360128*n^7 + 112179/29360128*n^8 - 103371/29360128*n^9 + 35815/29360128*n^10 - 665/4194304*n^11) * eps^11
-        + (9825/4194304 - 2337/2097152*n - 13661/4194304*n^2 - 1405/1048576*n^3 + 205965/58720256*n^4 + 98019/29360128*n^5 - 15733/7340032*n^6 - 145237/29360128*n^7 + 99087/29360128*n^8 + 76233/29360128*n^9 - 106087/29360128*n^10 + 6149/4194304*n^11 - 1771/8388608*n^12) * eps^12
-        + (2125/1048576 - 3903/8388608*n - 96259/33554432*n^2 - 410489/234881024*n^3 + 341577/234881024*n^4 + 441667/117440512*n^5 + 102545/117440512*n^6 - 411905/117440512*n^7 - 44531/14680064*n^8 + 996015/234881024*n^9 + 324603/234881024*n^10 - 118019/33554432*n^11 + 55913/33554432*n^12 - 8855/33554432*n^13) * eps^13
-        + (31337/16777216 - 9845/33554432*n - 141287/67108864*n^2 - 514903/234881024*n^3 + 213351/469762048*n^4 + 158209/58720256*n^5 + 299101/117440512*n^6 - 132045/117440512*n^7 - 1686973/469762048*n^8 - 284559/234881024*n^9 + 1041819/234881024*n^10 + 72061/234881024*n^11 - 773421/234881024*n^12 + 213785/117440512*n^13 - 148005/469762048*n^14) * eps^14
-        + (1780203/1073741824 + 2521/1073741824*n - 1916449/1073741824*n^2 - 14648021/7516192768*n^3 - 606289/1073741824*n^4 + 2068453/1073741824*n^5 + 19266365/7516192768*n^6 + 1015577/1073741824*n^7 - 17180199/7516192768*n^8 - 22143117/7516192768*n^9 + 1831549/7516192768*n^10 + 4498521/1073741824*n^11 - 4339571/7516192768*n^12 - 22471345/7516192768*n^13 + 14517945/7516192768*n^14) * eps^15
-        + (3302903/2147483648 + 61025/1073741824*n - 1392303/1073741824*n^2 - 14509913/7516192768*n^3 - 6298927/7516192768*n^4 + 6457051/7516192768*n^5 + 17971091/7516192768*n^6 + 12735795/7516192768*n^7 - 3219137/7516192768*n^8 - 20216205/7516192768*n^9 - 15046077/7516192768*n^10 + 9532867/7516192768*n^11 + 3961599/1073741824*n^12 - 9497345/7516192768*n^13) * eps^16
-        + (2983837/2147483648 + 1733855/8589934592*n - 4685403/4294967296*n^2 - 48201865/30064771072*n^3 - 36259515/30064771072*n^4 + 5527869/15032385536*n^5 + 1536743/939524096*n^6 + 63232859/30064771072*n^7 + 73671/117440512*n^8 - 1449355/1073741824*n^9 - 76937885/30064771072*n^10 - 30946235/30064771072*n^11 + 3570999/1879048192*n^12) * eps^17
-        + (22292529/17179869184 + 899355/4294967296*n - 13492583/17179869184*n^2 - 44700791/30064771072*n^3 - 70120189/60129542144*n^4 - 3471339/15032385536*n^5 + 72969301/60129542144*n^6 + 478067/268435456*n^7 + 85725937/60129542144*n^8 - 9546319/30064771072*n^9 - 109115611/60129542144*n^10 - 63656897/30064771072*n^11) * eps^18
-        + (81611253/68719476736 + 19508379/68719476736*n - 2837849/4294967296*n^2 - 1163707393/962072674304*n^3 - 75492929/60129542144*n^4 - 25075777/60129542144*n^5 + 141589169/240518168576*n^6 + 109200085/68719476736*n^7 + 51248003/34359738368*n^8 + 19485265/30064771072*n^9 - 68932559/68719476736*n^10) * eps^19
-        + (153351409/137438953472 + 1171063/4294967296*n - 128254133/274877906944*n^2 - 32936875/30064771072*n^3 - 2152615067/1924145348608*n^4 - 167428859/240518168576*n^5 + 297094515/962072674304*n^6 + 261663431/240518168576*n^7 + 1509210613/962072674304*n^8 + 472288869/481036337152*n^9) * eps^20
-        + (1984807995/1924145348608 + 342786907/1099511627776*n - 215809073/549755813888*n^2 - 3403522219/3848290697216*n^3 - 2125818367/1924145348608*n^4 - 5503162739/7696581394432*n^5 - 36779903/481036337152*n^6 + 1607563715/1924145348608*n^7 + 4856829545/3848290697216*n^8) * eps^21
-        + (2142375089/2199023255552 + 161430897/549755813888*n - 585488823/2199023255552*n^2 - 3056980555/3848290697216*n^3 - 14718114487/15393162788864*n^4 - 793901309/962072674304*n^5 - 3165663579/15393162788864*n^6 + 420223757/962072674304*n^7) * eps^22
-        + (15972732585/17592186044416 + 5524675807/17592186044416*n - 3921720195/17592186044416*n^2 - 78636170271/123145302310912*n^3 - 112176079097/123145302310912*n^4 - 94959230613/123145302310912*n^5 - 12796244065/30786325577728*n^6) * eps^23
-        + (30308424633/35184372088832 + 5175108963/17592186044416*n - 2441010467/17592186044416*n^2 - 70491037987/123145302310912*n^3 - 47936493201/61572651155456*n^4 - 49286431235/61572651155456*n^5) * eps^24
-        + (227458182793/281474976710656 + 85653158665/281474976710656*n - 16050121299/140737488355328*n^2 - 451259285829/985162418487296*n^3 - 718664673347/985162418487296*n^4) * eps^25
-        + (433302064951/562949953421312 + 40095993459/140737488355328*n - 31913675941/562949953421312*n^2 - 57834268753/140737488355328*n^3) * eps^26
-        + (3269693185065/4503599627370496 + 1302630681669/4503599627370496*n - 195127280595/4503599627370496*n^2) * eps^27
-        + (6249998138435/9007199254740992 + 1221397131411/4503599627370496*n) * eps^28
-        + 5922672166091/9007199254740992 * eps^29;
-C3[8] = + (715/262144 - 429/65536*n + 455/65536*n^2 - 637/131072*n^3 + 315/131072*n^4 - 55/65536*n^5 + 13/65536*n^6 - 15/524288*n^7 + 1/524288*n^8) * eps^8
-        + (429/131072 - 455/65536*n + 1053/262144*n^2 + 35/16384*n^3 - 1361/262144*n^4 + 69/16384*n^5 - 2095/1048576*n^6 + 77/131072*n^7 - 105/1048576*n^8 + 1/131072*n^9) * eps^9
-        + (663/262144 - 4173/1048576*n - 1717/1048576*n^2 + 3485/524288*n^3 - 3825/1048576*n^4 - 9469/4194304*n^5 + 18469/4194304*n^6 - 6137/2097152*n^7 + 4455/4194304*n^8 - 885/4194304*n^9 + 19/1048576*n^10) * eps^10
-        + (5057/2097152 - 3043/1048576*n - 5771/2097152*n^2 + 3893/1048576*n^3 + 25381/8388608*n^4 - 24103/4194304*n^5 + 8933/8388608*n^6 + 14179/4194304*n^7 - 28533/8388608*n^8 + 399/262144*n^9 - 2925/8388608*n^10 + 35/1048576*n^11) * eps^11
-        + (4269/2097152 - 3449/2097152*n - 27455/8388608*n^2 + 104101/67108864*n^3 + 268897/67108864*n^4 - 17303/16777216*n^5 - 162199/33554432*n^6 + 27987/8388608*n^7 + 61363/33554432*n^8 - 115233/33554432*n^9 + 127809/67108864*n^10 - 33495/67108864*n^11 + 1771/33554432*n^12) * eps^12
-        + (991/524288 - 10081/8388608*n - 365791/134217728*n^2 - 9717/33554432*n^3 + 465795/134217728*n^4 + 27547/16777216*n^5 - 106205/33554432*n^6 - 89529/33554432*n^7 + 289573/67108864*n^8 + 17427/67108864*n^9 - 420741/134217728*n^10 + 146465/67108864*n^11 - 87285/134217728*n^12 + 1265/16777216*n^13) * eps^13
-        + (55563/33554432 - 344251/536870912*n - 1348101/536870912*n^2 - 244277/268435456*n^3 + 1091783/536870912*n^4 + 1517573/536870912*n^5 - 219671/268435456*n^6 - 915171/268435456*n^7 - 65579/134217728*n^8 + 2300175/536870912*n^9 - 565193/536870912*n^10 - 705799/268435456*n^11 + 1263413/536870912*n^12 - 426075/536870912*n^13 + 13455/134217728*n^14) * eps^14
-        + (1650255/1073741824 - 242867/536870912*n - 2099405/1073741824*n^2 - 798587/536870912*n^3 + 1248445/1073741824*n^4 + 85085/33554432*n^5 + 1183963/1073741824*n^6 - 612017/268435456*n^7 - 2724453/1073741824*n^8 + 612213/536870912*n^9 + 3906577/1073741824*n^10 - 1079195/536870912*n^11 - 2173807/1073741824*n^12 + 651625/268435456*n^13 - 991575/1073741824*n^14) * eps^15
-        + (92379/67108864 - 96367/536870912*n - 7319885/4294967296*n^2 - 6313853/4294967296*n^3 + 429327/2147483648*n^4 + 9301893/4294967296*n^5 + 15031227/8589934592*n^6 - 2278773/4294967296*n^7 - 22903967/8589934592*n^8 - 2725917/2147483648*n^9 + 4500833/2147483648*n^10 + 11631693/4294967296*n^11 - 5617393/2147483648*n^12 - 12008165/8589934592*n^13) * eps^16
-        + (2756519/2147483648 - 430227/4294967296*n - 11245169/8589934592*n^2 - 6724689/4294967296*n^3 - 53143/268435456*n^4 + 11801191/8589934592*n^5 + 4420815/2147483648*n^6 + 4422845/8589934592*n^7 - 13431985/8589934592*n^8 - 1236311/536870912*n^9 - 519961/8589934592*n^10 + 5300279/2147483648*n^11 + 29579711/17179869184*n^12) * eps^17
-        + (20057037/17179869184 + 1437191/34359738368*n - 38619865/34359738368*n^2 - 47458715/34359738368*n^3 - 11051395/17179869184*n^4 + 31753819/34359738368*n^5 + 923369/536870912*n^6 + 22435517/17179869184*n^7 - 20287619/34359738368*n^8 - 16694191/8589934592*n^9 - 53676765/34359738368*n^10 + 60038145/68719476736*n^11) * eps^18
-        + (75219653/68719476736 + 2460657/34359738368*n - 3690307/4294967296*n^2 - 45693585/34359738368*n^3 - 12731745/17179869184*n^4 + 3014801/8589934592*n^5 + 102479649/68719476736*n^6 + 95223/67108864*n^7 + 12997523/34359738368*n^8 - 45081435/34359738368*n^9 - 250602523/137438953472*n^10) * eps^19
-        + (138411809/137438953472 + 20479031/137438953472*n - 404248825/549755813888*n^2 - 623123853/549755813888*n^3 - 249636485/274877906944*n^4 + 24599285/274877906944*n^5 + 278247109/274877906944*n^6 + 206754789/137438953472*n^7 + 433813329/549755813888*n^8 - 463032277/1099511627776*n^9) * eps^20
-        + (260886645/274877906944 + 85615081/549755813888*n - 614045309/1099511627776*n^2 - 577943525/549755813888*n^3 - 959520737/1099511627776*n^4 - 65018321/274877906944*n^5 + 412167595/549755813888*n^6 + 341178333/274877906944*n^7 + 2517056589/2199023255552*n^8) * eps^21
-        + (1937599123/2199023255552 + 875827069/4398046511104*n - 2101908333/4398046511104*n^2 - 1944837617/2199023255552*n^3 - 4013825043/4398046511104*n^4 - 1514642649/4398046511104*n^5 + 52220173/137438953472*n^6 + 9631735815/8796093022208*n^7) * eps^22
-        + (7338112607/8796093022208 + 858111205/4398046511104*n - 3151357309/8796093022208*n^2 - 3552063895/4398046511104*n^3 - 7304761733/8796093022208*n^4 - 1117242591/2199023255552*n^5 + 3576385429/17592186044416*n^6) * eps^23
-        + (439177896603/562949953421312 + 30926258881/140737488355328*n - 43123141703/140737488355328*n^2 - 190181338763/281474976710656*n^3 - 230252313827/281474976710656*n^4 - 74140886391/140737488355328*n^5) * eps^24
-        + (208758190031/281474976710656 + 29681117575/140737488355328*n - 126131044829/562949953421312*n^2 - 21573269697/35184372088832*n^3 - 409510620075/562949953421312*n^4) * eps^25
-        + (392781497985/562949953421312 + 506107726005/2251799813685248*n - 429816687963/2251799813685248*n^2 - 575742720763/1125899906842624*n^3) * eps^26
-        + (2997989980695/4503599627370496 + 481944654003/2251799813685248*n - 599801259897/4503599627370496*n^2) * eps^27
-        + (2834595204413/4503599627370496 + 997668129067/4503599627370496*n) * eps^28
-        + 2712992943545/4503599627370496 * eps^29;
-C3[9] = + (2431/1179648 - 663/131072*n + 1105/196608*n^2 - 833/196608*n^3 + 153/65536*n^4 - 187/196608*n^5 + 221/786432*n^6 - 15/262144*n^7 + 17/2359296*n^8 - 1/2359296*n^9) * eps^9
-        + (663/262144 - 1105/196608*n + 1003/262144*n^2 + 187/196608*n^3 - 391/98304*n^4 + 1003/262144*n^5 - 3425/1572864*n^6 + 1921/2359296*n^7 - 13/65536*n^8 + 17/589824*n^9 - 1/524288*n^10) * eps^10
-        + (4199/2097152 - 21743/6291456*n - 4199/6291456*n^2 + 33269/6291456*n^3 - 50065/12582912*n^4 - 9443/12582912*n^5 + 14573/4194304*n^6 - 112667/37748736*n^7 + 53599/37748736*n^8 - 15487/37748736*n^9 + 2567/37748736*n^10 - 21/4194304*n^11) * eps^11
-        + (8109/4194304 - 5491/2097152*n - 3893/2097152*n^2 + 11305/3145728*n^3 + 11799/8388608*n^4 - 187397/37748736*n^5 + 2753/1179648*n^6 + 24241/12582912*n^7 - 118771/37748736*n^8 + 73177/37748736*n^9 - 693/1048576*n^10 + 4675/37748736*n^11 - 253/25165824*n^12) * eps^12
-        + (6953/4194304 - 80971/50331648*n - 252263/100663296*n^2 + 199465/100663296*n^3 + 895717/301989888*n^4 - 52205/25165824*n^5 - 482759/150994944*n^6 + 591815/150994944*n^7 + 2911/37748736*n^8 - 277705/100663296*n^9 + 689963/301989888*n^10 - 276985/301989888*n^11 + 58259/301989888*n^12 - 575/33554432*n^13) * eps^13
-        + (52105/33554432 - 122417/100663296*n - 450521/201326592*n^2 + 40603/100663296*n^3 + 1865333/603979776*n^4 + 23971/75497472*n^5 - 972811/301989888*n^6 - 36503/50331648*n^7 + 811127/201326592*n^8 - 149813/100663296*n^9 - 153359/75497472*n^10 + 81805/33554432*n^11 - 43547/37748736*n^12 + 40885/150994944*n^13 - 1755/67108864*n^14) * eps^14
-        + (4429673/3221225472 - 788207/1073741824*n - 6941611/3221225472*n^2 - 897577/3221225472*n^3 + 2356975/1073741824*n^4 + 17574277/9663676416*n^5 - 17208913/9663676416*n^6 - 8196295/3221225472*n^7 + 3937649/3221225472*n^8 + 10299955/3221225472*n^9 - 2716857/1073741824*n^10 - 3753553/3221225472*n^11 + 23362279/9663676416*n^12 - 13084435/9663676416*n^13 + 379015/1073741824*n^14) * eps^15
-        + (2758463/2147483648 - 1758869/3221225472*n - 5672105/3221225472*n^2 - 973687/1073741824*n^3 + 14858035/9663676416*n^4 + 19887425/9663676416*n^5 - 32501/536870912*n^6 - 24418015/9663676416*n^7 - 5340461/4831838208*n^8 + 2428553/1073741824*n^9 + 19060745/9663676416*n^10 - 29342159/9663676416*n^11 - 2979365/9663676416*n^12 + 21844849/9663676416*n^13) * eps^16
-        + (2490257/2147483648 - 7674811/25769803776*n - 20315813/12884901888*n^2 - 4435023/4294967296*n^3 + 27370555/38654705664*n^4 + 26375911/12884901888*n^5 + 1831967/2147483648*n^6 - 54254453/38654705664*n^7 - 10497871/4831838208*n^8 + 3956369/12884901888*n^9 + 32001391/12884901888*n^10 + 28530035/38654705664*n^11 - 59974063/19327352832*n^12) * eps^17
-        + (18666393/17179869184 - 889513/4294967296*n - 21696367/17179869184*n^2 - 15580247/12884901888*n^3 + 3662981/12884901888*n^4 + 14977259/9663676416*n^5 + 9479491/6442450944*n^6 - 2887897/6442450944*n^7 - 73237177/38654705664*n^8 - 16269899/12884901888*n^9 + 50631997/38654705664*n^10 + 83059381/38654705664*n^11) * eps^18
-        + (68321333/68719476736 - 14723375/206158430208*n - 56990675/51539607552*n^2 - 155817437/137438953472*n^3 - 18588719/103079215104*n^4 + 41892585/34359738368*n^5 + 57054647/38654705664*n^6 + 283540243/618475290624*n^7 - 22561439/17179869184*n^8 - 174386747/103079215104*n^9 - 158151485/618475290624*n^10) * eps^19
-        + (128591121/137438953472 - 1479029/51539607552*n - 726294569/824633720832*n^2 - 305943/268435456*n^3 - 295907705/824633720832*n^4 + 113271359/154618822656*n^5 + 1807217413/1236950581248*n^6 + 32409209/38654705664*n^7 - 581666617/1236950581248*n^8 - 111277655/68719476736*n^9) * eps^20
-        + (713238475/824633720832 + 53664037/1099511627776*n - 1263187013/1649267441664*n^2 - 1670261267/1649267441664*n^3 - 474955129/824633720832*n^4 + 4600090009/9895604649984*n^5 + 1438755463/1236950581248*n^6 + 314620739/274877906944*n^7 + 247598477/4947802324992*n^8) * eps^21
-        + (1797792591/2199023255552 + 110680117/1649267441664*n - 4012013791/6597069766656*n^2 - 1590584081/1649267441664*n^3 - 1351592063/2199023255552*n^4 + 41953639/309237645312*n^5 + 19375684513/19791209299968*n^6 + 85456501/77309411328*n^7) * eps^22
-        + (26806607255/35184372088832 + 11900807335/105553116266496*n - 55739761391/105553116266496*n^2 - 88591049429/105553116266496*n^3 - 24583779341/35184372088832*n^4 - 1960568177/105553116266496*n^5 + 212797419253/316659348799488*n^6) * eps^23
-        + (50883408771/70368744177664 + 4164850661/35184372088832*n - 14681082863/35184372088832*n^2 - 82400553121/105553116266496*n^3 - 70910402069/105553116266496*n^4 - 67176278281/316659348799488*n^5) * eps^24
-        + (190930903235/281474976710656 + 15383945467/105553116266496*n - 38240500283/105553116266496*n^2 - 35530344527/52776558133248*n^3 - 437558257621/633318697598976*n^4) * eps^25
-        + (45468475229/70368744177664 + 15280317955/105553116266496*n - 19959778025/70368744177664*n^2 - 32689473503/52776558133248*n^3) * eps^26
-        + (24702973639945/40532396646334464 + 726357235713/4503599627370496*n - 3324932711075/13510798882111488*n^2) * eps^27
-        + (5246222852159/9007199254740992 + 706735196961/4503599627370496*n) * eps^28
-        + 310707493777/562949953421312 * eps^29;
-C3[10] = + (4199/2621440 - 4199/1048576*n + 4845/1048576*n^2 - 969/262144*n^3 + 2907/1310720*n^4 - 10659/10485760*n^5 + 741/2097152*n^6 - 95/1048576*n^7 + 17/1048576*n^8 - 19/10485760*n^9 + 1/10485760*n^10) * eps^10
-        + (4199/2097152 - 4845/1048576*n + 7429/2097152*n^2 + 969/5242880*n^3 - 12597/4194304*n^4 + 35397/10485760*n^5 - 9329/4194304*n^6 + 2087/2097152*n^7 - 6479/20971520*n^8 + 135/2097152*n^9 - 171/20971520*n^10 + 1/2097152*n^11) * eps^11
-        + (6783/4194304 - 12597/4194304*n - 2261/41943040*n^2 + 174743/41943040*n^3 - 164901/41943040*n^4 + 1539/5242880*n^5 + 214809/83886080*n^6 - 29519/10485760*n^7 + 139141/83886080*n^8 - 1631/2621440*n^9 + 12559/83886080*n^10 - 893/41943040*n^11 + 23/16777216*n^12) * eps^12
-        + (13243/8388608 - 19703/8388608*n - 101099/83886080*n^2 + 138073/41943040*n^3 + 24719/83886080*n^4 - 337423/83886080*n^5 + 12363/4194304*n^6 + 57103/83886080*n^7 - 27323/10485760*n^8 + 178529/83886080*n^9 - 81173/83886080*n^10 + 4485/16777216*n^11 - 3553/83886080*n^12 + 25/8388608*n^13) * eps^13
-        + (92055/67108864 - 822035/536870912*n - 1020015/536870912*n^2 + 574655/268435456*n^3 + 2734037/1342177280*n^4 - 6716637/2684354560*n^5 - 4712349/2684354560*n^6 + 158653/41943040*n^7 - 320995/268435456*n^8 - 4870931/2684354560*n^9 + 6209363/2684354560*n^10 - 1727177/1342177280*n^11 + 272823/671088640*n^12 - 38285/536870912*n^13 + 2925/536870912*n^14) * eps^14
-        + (1390515/1073741824 - 638609/536870912*n - 9739457/5368709120*n^2 + 2244193/2684354560*n^3 + 2762359/1073741824*n^4 - 1609109/2684354560*n^5 - 14885329/5368709120*n^6 + 1720321/2684354560*n^7 + 3362447/1073741824*n^8 - 6643351/2684354560*n^9 - 4107621/5368709120*n^10 + 5967063/2684354560*n^11 - 8268441/5368709120*n^12 + 1490177/2684354560*n^13 - 575757/5368709120*n^14) * eps^15
-        + (2486055/2147483648 - 416271/536870912*n - 39210607/21474836480*n^2 + 939667/5368709120*n^3 + 9060325/4294967296*n^4 + 2491453/2684354560*n^5 - 46473241/21474836480*n^6 - 3953531/2684354560*n^7 + 44317207/21474836480*n^8 + 9488381/5368709120*n^9 - 64785587/21474836480*n^10 + 739973/2684354560*n^11 + 41224629/21474836480*n^12 - 9171349/5368709120*n^13) * eps^16
-        + (2335727/2147483648 - 2563477/4294967296*n - 16701111/10737418240*n^2 - 9668041/21474836480*n^3 + 17992927/10737418240*n^4 + 31720101/21474836480*n^5 - 2271699/2684354560*n^6 - 47531759/21474836480*n^7 + 1536949/10737418240*n^8 + 10243175/4294967296*n^9 + 3586031/10737418240*n^10 - 63134341/21474836480*n^11 + 12279279/10737418240*n^12) * eps^17
-        + (16987677/17179869184 - 12817701/34359738368*n - 245571871/171798691840*n^2 - 113240313/171798691840*n^3 + 346569259/343597383680*n^4 + 74555269/42949672960*n^5 + 27207641/343597383680*n^6 - 297892471/171798691840*n^7 - 90518711/68719476736*n^8 + 56969301/42949672960*n^9 + 132544051/68719476736*n^10 - 17233729/21474836480*n^11) * eps^18
-        + (63952469/68719476736 - 9581357/34359738368*n - 203499591/171798691840*n^2 - 76181293/85899345920*n^3 + 212001921/343597383680*n^4 + 103062223/68719476736*n^5 + 287585989/343597383680*n^6 - 73169205/68719476736*n^7 - 114638241/68719476736*n^8 - 59443911/343597383680*n^9 + 159059379/85899345920*n^10) * eps^19
-        + (588367381/687194767360 - 20787795/137438953472*n - 2904705599/2748779069440*n^2 - 1224194119/1374389534720*n^3 + 476022861/2748779069440*n^4 + 1802954677/1374389534720*n^5 + 739674421/687194767360*n^6 - 326887271/1374389534720*n^7 - 530422339/343597383680*n^8 - 279426503/274877906944*n^9) * eps^20
-        + (222258195/274877906944 - 55829477/549755813888*n - 477453485/549755813888*n^2 - 2590977593/2748779069440*n^3 - 58684921/1374389534720*n^4 + 1291134563/1374389534720*n^5 + 1706006381/1374389534720*n^6 + 33790047/137438953472*n^7 - 1348338613/1374389534720*n^8) * eps^21
-        + (3301594169/4398046511104 - 453528367/17592186044416*n - 67434894591/87960930222080*n^2 - 38367823899/43980465111040*n^3 - 2503383779/8796093022208*n^4 + 62281465759/87960930222080*n^5 + 98226145519/87960930222080*n^6 + 5981539941/8796093022208*n^7) * eps^22
-        + (25036620431/35184372088832 - 3706957/17592186044416*n - 110515260937/175921860444160*n^2 - 75242715363/87960930222080*n^3 - 13113832313/35184372088832*n^4 + 35799902519/87960930222080*n^5 + 181849615997/175921860444160*n^6) * eps^23
-        + (46828608507/70368744177664 + 1623985719/35184372088832*n - 77781379687/140737488355328*n^2 - 135023615257/175921860444160*n^3 - 343735176087/703687441776640*n^4 + 21076200917/87960930222080*n^5) * eps^24
-        + (22273557181/35184372088832 + 8209167567/140737488355328*n - 79486039261/175921860444160*n^2 - 512388782813/703687441776640*n^3 - 35491170583/70368744177664*n^4) * eps^25
-        + (670564680061/1125899906842624 + 196582254575/2251799813685248*n - 4472224828261/11258999068426240*n^2 - 3626987174247/5629499534213120*n^3) * eps^26
-        + (2559941004369/4503599627370496 + 206983074593/2251799813685248*n - 7284964906539/22517998136852480*n^2) * eps^27
-        + (4841011900185/9007199254740992 + 992966911831/9007199254740992*n) * eps^28
-        + 9267877312991/18014398509481984 * eps^29;
-C3[11] = + (29393/23068672 - 6783/2097152*n + 8075/2097152*n^2 - 6783/2097152*n^3 + 8721/4194304*n^4 - 4389/4194304*n^5 + 1729/4194304*n^6 - 525/4194304*n^7 + 119/4194304*n^8 - 19/4194304*n^9 + 21/46137344*n^10 - 1/46137344*n^11) * eps^11
-        + (6783/4194304 - 8075/2097152*n + 6783/2097152*n^2 - 323/1048576*n^3 - 18753/8388608*n^4 + 12255/4194304*n^5 - 9135/4194304*n^6 + 4711/4194304*n^7 - 219/524288*n^8 + 5131/46137344*n^9 - 85/4194304*n^10 + 105/46137344*n^11 - 1/8388608*n^12) * eps^12
-        + (22287/16777216 - 5491/2097152*n + 22287/67108864*n^2 + 218937/67108864*n^3 - 247779/67108864*n^4 + 65849/67108864*n^5 + 58673/33554432*n^6 - 84249/33554432*n^7 + 655201/369098752*n^8 - 300367/369098752*n^9 + 187059/738197504*n^10 - 38619/738197504*n^11 + 4809/738197504*n^12 - 25/67108864*n^13) * eps^13
-        + (5491/4194304 - 141151/67108864*n - 98363/134217728*n^2 + 196213/67108864*n^3 - 29417/67108864*n^4 - 52095/16777216*n^5 + 419083/134217728*n^6 - 103155/369098752*n^7 - 718191/369098752*n^8 + 1557273/738197504*n^9 - 1788277/1476395008*n^10 + 325161/738197504*n^11 - 6875/67108864*n^12 + 5187/369098752*n^13 - 117/134217728*n^14) * eps^14
-        + (1235475/1073741824 - 1541223/1073741824*n - 1529937/1073741824*n^2 + 2296199/1073741824*n^3 + 1365211/1073741824*n^4 - 2738587/1073741824*n^5 - 7375295/11811160064*n^6 + 38530187/11811160064*n^7 - 23317551/11811160064*n^8 - 10011949/11811160064*n^9 + 24284837/11811160064*n^10 - 18010915/11811160064*n^11 + 7660305/11811160064*n^12 - 1998361/11811160064*n^13 + 300321/11811160064*n^14) * eps^15
-        + (2349103/2147483648 - 1224911/1073741824*n - 781795/536870912*n^2 + 1166537/1073741824*n^3 + 1094423/536870912*n^4 - 13807153/11811160064*n^5 - 25077685/11811160064*n^6 + 17157263/11811160064*n^7 + 24268865/11811160064*n^8 - 33106325/11811160064*n^9 + 2076575/5905580032*n^10 + 19838275/11811160064*n^11 - 10084007/5905580032*n^12 + 10078335/11811160064*n^13) * eps^16
-        + (2117379/2147483648 - 6739785/8589934592*n - 1646453/1073741824*n^2 + 261625/536870912*n^3 + 8131213/4294967296*n^4 + 20997261/94489280512*n^5 - 101979543/47244640256*n^6 - 530353/1073741824*n^7 + 828023/369098752*n^8 + 43716997/94489280512*n^9 - 65673747/23622320128*n^10 + 31841459/23622320128*n^11 + 52076665/47244640256*n^12) * eps^17
-        + (15999297/17179869184 - 665231/1073741824*n - 23300153/17179869184*n^2 - 221463/2147483648*n^3 + 28505205/17179869184*n^4 + 3924281/4294967296*n^5 - 243226535/188978561024*n^6 - 77376389/47244640256*n^7 + 188744355/188978561024*n^8 + 45186567/23622320128*n^9 - 160724471/188978561024*n^10 - 25713125/11811160064*n^11) * eps^18
-        + (58546741/68719476736 - 28776169/68719476736*n - 10980371/8589934592*n^2 - 48605103/137438953472*n^3 + 39670397/34359738368*n^4 + 31828611/23622320128*n^5 - 187541869/377957122048*n^6 - 115448809/68719476736*n^7 - 42158467/94489280512*n^8 + 82411933/47244640256*n^9 + 753396595/755914244096*n^10) * eps^19
-        + (110659725/137438953472 - 2797611/8589934592*n - 299770405/274877906944*n^2 - 10459603/17179869184*n^3 + 226651699/274877906944*n^4 + 497934925/377957122048*n^5 + 409147909/1511828488192*n^6 - 510313799/377957122048*n^7 - 1751353333/1511828488192*n^8 + 493141905/755914244096*n^9) * eps^20
-        + (818467293/1099511627776 - 56886273/274877906944*n - 2178023121/2199023255552*n^2 - 1468259459/2199023255552*n^3 + 936005777/2199023255552*n^4 + 30592744379/24189255811072*n^5 + 483964345/755914244096*n^6 - 2151235101/3023656976384*n^7 - 17107054983/12094627905536*n^8) * eps^21
-        + (96937173/137438953472 - 338878191/2199023255552*n - 3672830975/4398046511104*n^2 - 1657202547/2199023255552*n^3 + 445677205/2199023255552*n^4 + 12225739435/12094627905536*n^5 + 45022865775/48378511622144*n^6 - 743433509/3023656976384*n^7) * eps^22
-        + (23130670543/35184372088832 - 2857753463/35184372088832*n - 26305948157/35184372088832*n^2 - 25618373853/35184372088832*n^3 - 1549180705/35184372088832*n^4 + 324075281367/387028092977152*n^5 + 367058948627/387028092977152*n^6) * eps^23
-        + (43968565791/70368744177664 - 1805535203/35184372088832*n - 2760991455/4398046511104*n^2 - 25963357003/35184372088832*n^3 - 177189123/1099511627776*n^4 + 225673037041/387028092977152*n^5) * eps^24
-        + (41252640009/70368744177664 - 1485684057/281474976710656*n - 39333792359/70368744177664*n^2 - 95968855991/140737488355328*n^3 - 41727255371/140737488355328*n^4) * eps^25
-        + (314637345025/562949953421312 + 791327487/70368744177664*n - 263720191503/562949953421312*n^2 - 5813138145/8796093022208*n^3) * eps^26
-        + (2374498758045/4503599627370496 + 184441277827/4503599627370496*n - 1875159093121/4503599627370496*n^2) * eps^27
-        + (4540838699861/9007199254740992 + 223044732129/4503599627370496*n) * eps^28
-        + 17213216597955/36028797018963968 * eps^29;
-C3[12] = + (52003/50331648 - 22287/8388608*n + 81719/25165824*n^2 - 572033/201326592*n^3 + 129789/67108864*n^4 - 52877/50331648*n^5 + 23023/50331648*n^6 - 5313/33554432*n^7 + 4301/100663296*n^8 - 437/50331648*n^9 + 21/16777216*n^10 - 23/201326592*n^11 + 1/201326592*n^12) * eps^12
-        + (22287/16777216 - 81719/25165824*n + 393737/134217728*n^2 - 62491/100663296*n^3 - 658559/402653184*n^4 + 83743/33554432*n^5 - 417197/201326592*n^6 + 60467/50331648*n^7 - 34569/67108864*n^8 + 8287/50331648*n^9 - 15479/402653184*n^10 + 209/33554432*n^11 - 253/402653184*n^12 + 1/33554432*n^13) * eps^13
-        + (37145/33554432 - 3692213/1610612736*n + 919885/1610612736*n^2 + 2047345/805306368*n^3 - 1807685/536870912*n^4 + 2268145/1610612736*n^5 + 107525/100663296*n^6 - 287615/134217728*n^7 + 1439165/805306368*n^8 - 1554985/1610612736*n^9 + 196337/536870912*n^10 - 78625/805306368*n^11 + 28451/1610612736*n^12 - 3151/1610612736*n^13 + 27/268435456*n^14) * eps^14
-        + (1181211/1073741824 - 1011655/536870912*n - 1258123/3221225472*n^2 + 1368385/536870912*n^3 - 966345/1073741824*n^4 - 1845635/805306368*n^5 + 3249555/1073741824*n^6 - 32195/33554432*n^7 - 4125455/3221225472*n^8 + 1038315/536870912*n^9 - 1464041/1073741824*n^10 + 330167/536870912*n^11 - 602911/3221225472*n^12 + 5049/134217728*n^13 - 14651/3221225472*n^14) * eps^15
-        + (2097163/2147483648 - 716243/536870912*n - 13577935/12884901888*n^2 + 26345695/12884901888*n^3 + 539465/805306368*n^4 - 30721445/12884901888*n^5 + 1671665/8589934592*n^6 + 16667215/6442450944*n^7 - 60325345/25769803776*n^8 - 7435/2147483648*n^9 + 3478199/2147483648*n^10 - 20654597/12884901888*n^11 + 11205989/12884901888*n^12 - 1294237/4294967296*n^13) * eps^16
-        + (2006267/2147483648 - 4643355/4294967296*n - 29853701/25769803776*n^2 + 15623785/12884901888*n^3 + 19883891/12884901888*n^4 - 37991705/25769803776*n^5 - 12448665/8589934592*n^6 + 47094413/25769803776*n^7 + 6739069/6442450944*n^8 - 2864351/1073741824*n^9 + 30201445/25769803776*n^10 + 1058057/1073741824*n^11 - 10580051/6442450944*n^12) * eps^17
-        + (43720079/51539607552 - 26598603/34359738368*n - 43949251/34359738368*n^2 + 71325415/103079215104*n^3 + 6957895/4294967296*n^4 - 2536467/8589934592*n^5 - 198525719/103079215104*n^6 + 13878817/51539607552*n^7 + 34508611/17179869184*n^8 - 52928069/103079215104*n^9 - 220720771/103079215104*n^10 + 66852739/34359738368*n^11) * eps^18
-        + (55326431/68719476736 - 64299007/103079215104*n - 120784247/103079215104*n^2 + 15781747/103079215104*n^3 + 106472291/68719476736*n^4 + 14611239/34359738368*n^5 - 150547861/103079215104*n^6 - 103209593/103079215104*n^7 + 99804641/68719476736*n^8 + 123227375/103079215104*n^9 - 12788579/8589934592*n^10) * eps^19
-        + (814404171/1099511627776 - 732481345/1649267441664*n - 466819643/412316860416*n^2 - 734752241/6597069766656*n^3 + 2621301201/2199023255552*n^4 + 785792285/824633720832*n^5 - 1433859853/1649267441664*n^6 - 770153889/549755813888*n^7 + 432049963/1649267441664*n^8 + 5608251079/3298534883328*n^9) * eps^20
-        + (772604523/1099511627776 - 48760475/137438953472*n - 13077992689/13194139533312*n^2 - 1241891819/3298534883328*n^3 + 4110854519/4398046511104*n^4 + 3534181601/3298534883328*n^5 - 586500377/3298534883328*n^6 - 2275702691/1649267441664*n^7 - 3789336937/6597069766656*n^8) * eps^21
-        + (358745439/549755813888 - 12934264661/52776558133248*n - 48333688039/52776558133248*n^2 - 4146286613/8796093022208*n^3 + 31281974437/52776558133248*n^4 + 59718172567/52776558133248*n^5 + 2095950701/8796093022208*n^6 - 25516746833/26388279066624*n^7) * eps^22
-        + (21821485195/35184372088832 - 10108238849/52776558133248*n - 27769272537/35184372088832*n^2 - 10217136851/17592186044416*n^3 + 13447296309/35184372088832*n^4 + 2169033311/2199023255552*n^5 + 21069180867/35184372088832*n^6) * eps^23
-        + (122479921063/211106232532992 - 2150084801/17592186044416*n - 302356197395/422212465065984*n^2 - 62203620647/105553116266496*n^3 + 20409605765/140737488355328*n^4 + 370492702933/422212465065984*n^5) * eps^24
-        + (38901506935/70368744177664 - 12663469807/140737488355328*n - 43169763871/70368744177664*n^2 - 262080088265/422212465065984*n^3 + 4124183297/281474976710656*n^4) * eps^25
-        + (292863078097/562949953421312 - 1583046845/35184372088832*n - 29152993591/52776558133248*n^2 - 1996652856445/3377699720527872*n^3) * eps^26
-        + (69950118165/140737488355328 - 1807466357/70368744177664*n - 1063027613707/2251799813685248*n^2) * eps^27
-        + (16935196336601/36028797018963968 + 223223833507/54043195528445952*n) * eps^28
-        + 16221720992423/36028797018963968 * eps^29;
-C3[13] = + (185725/218103808 - 37145/16777216*n + 185725/67108864*n^2 - 168245/67108864*n^3 + 120175/67108864*n^4 - 69575/67108864*n^5 + 16445/33554432*n^6 - 6325/33554432*n^7 + 1955/33554432*n^8 - 475/33554432*n^9 + 175/67108864*n^10 - 23/67108864*n^11 + 25/872415232*n^12 - 1/872415232*n^13) * eps^13
-        + (37145/33554432 - 185725/67108864*n + 356155/134217728*n^2 - 54625/67108864*n^3 - 39215/33554432*n^4 + 8855/4194304*n^5 - 259325/134217728*n^6 + 41515/33554432*n^7 - 625/1048576*n^8 + 14765/67108864*n^9 - 8297/134217728*n^10 + 11225/872415232*n^11 - 63/33554432*n^12 + 75/436207616*n^13 - 1/134217728*n^14) * eps^14
-        + (1002915/1073741824 - 2165335/1073741824*n + 766935/1073741824*n^2 + 2116575/1073741824*n^3 - 3237825/1073741824*n^4 + 1772265/1073741824*n^5 + 558555/1073741824*n^6 - 1889505/1073741824*n^7 + 1846575/1073741824*n^8 - 1148355/1073741824*n^9 + 6621687/13958643712*n^10 - 2147433/13958643712*n^11 + 502623/13958643712*n^12 - 80975/13958643712*n^13 + 8075/13958643712*n^14) * eps^15
-        + (2008015/2147483648 - 1815735/1073741824*n - 76705/536870912*n^2 + 2357385/1073741824*n^3 - 19665/16777216*n^4 - 1726035/1073741824*n^5 + 1491465/536870912*n^6 - 1503195/1073741824*n^7 - 363375/536870912*n^8 + 23156505/13958643712*n^9 - 9914347/6979321856*n^10 + 10709897/13958643712*n^11 - 501361/1744830464*n^12 + 1052013/13958643712*n^13) * eps^16
-        + (1798255/2147483648 - 10601045/8589934592*n - 1641165/2147483648*n^2 + 4086755/2147483648*n^3 + 913905/4294967296*n^4 - 18130905/8589934592*n^5 + 3204135/4294967296*n^6 + 1017741/536870912*n^7 - 33577953/13958643712*n^8 + 73063651/111669149696*n^9 + 1928075/1744830464*n^10 - 10703707/6979321856*n^11 + 57707979/55834574848*n^12) * eps^17
-        + (13840365/17179869184 - 2184195/2147483648*n - 15684505/17179869184*n^2 + 1348605/1073741824*n^3 + 19080865/17179869184*n^4 - 6839475/4294967296*n^5 - 14431629/17179869184*n^6 + 105895953/55834574848*n^7 + 48950133/223338299392*n^8 - 7886043/3489660928*n^9 + 372503147/223338299392*n^10 + 8024167/27917287424*n^11) * eps^18
-        + (101195745/137438953472 - 103316805/137438953472*n - 145814825/137438953472*n^2 + 56137605/68719476736*n^3 + 45844365/34359738368*n^4 - 11127843/17179869184*n^5 - 176827545/111669149696*n^6 + 177367791/223338299392*n^7 + 43666839/27917287424*n^8 - 502109665/446676598784*n^9 - 608048583/446676598784*n^10) * eps^19
-        + (192942285/274877906944 - 84667255/137438953472*n - 276352515/274877906944*n^2 + 46276975/137438953472*n^3 + 190922955/137438953472*n^4 + 544527/17179869184*n^5 - 80867391/55834574848*n^6 - 46739031/111669149696*n^7 + 1413025611/893353197568*n^8 + 208444667/446676598784*n^9) * eps^20
-        + (713651475/1099511627776 - 500804215/1099511627776*n - 2189663055/2199023255552*n^2 + 166841355/2199023255552*n^3 + 2545633095/2199023255552*n^4 + 1301305233/2199023255552*n^5 - 73499007/68719476736*n^6 - 3649124073/3573412790272*n^7 + 10673011569/14293651161088*n^8) * eps^21
-        + (1358850675/2199023255552 - 816309985/2199023255552*n - 3925550751/4398046511104*n^2 - 411093181/2199023255552*n^3 + 1069809697/1099511627776*n^4 + 887786559/1099511627776*n^5 - 28489507799/57174604644352*n^6 - 4430888365/3573412790272*n^7) * eps^22
-        + (20273133015/35184372088832 - 9511268919/35184372088832*n - 29503243001/35184372088832*n^2 - 10679084579/35184372088832*n^3 + 24333880611/35184372088832*n^4 + 33531947513/35184372088832*n^5 - 43359239675/457396837154816*n^6) * eps^23
-        + (38647569279/70368744177664 - 7657024935/35184372088832*n - 25922041023/35184372088832*n^2 - 15045539631/35184372088832*n^3 + 17766942325/35184372088832*n^4 + 31659609403/35184372088832*n^5) * eps^24
-        + (36274342699/70368744177664 - 42850331919/281474976710656*n - 11911257957/17592186044416*n^2 - 64900868793/140737488355328*n^3 + 40343787423/140737488355328*n^4) * eps^25
-        + (277172296351/562949953421312 - 2094012549/17592186044416*n - 332189237881/562949953421312*n^2 - 35829993671/70368744177664*n^3) * eps^26
-        + (1046221099377/2251799813685248 - 170172833119/2251799813685248*n - 604554123131/1125899906842624*n^2) * eps^27
-        + (2003125009747/4503599627370496 - 61476552589/1125899906842624*n) * eps^28
-        + 15190705138949/36028797018963968 * eps^29;
-C3[14] = + (334305/469762048 - 1002915/536870912*n + 1278225/536870912*n^2 - 596505/268435456*n^3 + 444015/268435456*n^4 - 542685/536870912*n^5 + 1924065/3758096384*n^6 - 201825/939524096*n^7 + 9945/134217728*n^8 - 11115/536870912*n^9 + 2457/536870912*n^10 - 207/268435456*n^11 + 25/268435456*n^12 - 27/3758096384*n^13 + 1/3758096384*n^14) * eps^14
-        + (1002915/1073741824 - 1278225/536870912*n + 2576115/1073741824*n^2 - 497835/536870912*n^3 - 865605/1073741824*n^4 + 6660225/3758096384*n^5 - 1906125/1073741824*n^6 + 4658355/3758096384*n^7 - 707265/1073741824*n^8 + 146835/536870912*n^9 - 95481/1073741824*n^10 + 11985/536870912*n^11 - 31527/7516192768*n^12 + 299/536870912*n^13 - 351/7516192768*n^14) * eps^15
-        + (1710855/2147483648 - 478515/268435456*n + 3411705/4294967296*n^2 + 1630815/1073741824*n^3 - 80250105/30064771072*n^4 + 6633315/3758096384*n^5 + 2765295/30064771072*n^6 - 10456095/7516192768*n^7 + 48041487/30064771072*n^8 - 604737/536870912*n^9 + 2449717/4294967296*n^10 - 1624435/7516192768*n^11 + 1847371/30064771072*n^12 - 48169/3758096384*n^13) * eps^16
-        + (1723965/2147483648 - 6533265/4294967296*n + 76935/2147483648*n^2 + 56398185/30064771072*n^3 - 19759875/15032385536*n^4 - 31583175/30064771072*n^5 + 36921495/15032385536*n^6 - 49642983/30064771072*n^7 - 355569/2147483648*n^8 + 40109813/30064771072*n^9 - 20948701/15032385536*n^10 + 26526277/30064771072*n^11 - 5886663/15032385536*n^12) * eps^17
-        + (24894855/34359738368 - 78264285/68719476736*n - 36988485/68719476736*n^2 + 418581945/240518168576*n^3 - 60094815/481036337152*n^4 - 107991795/60129542144*n^5 + 522459795/481036337152*n^6 + 303630087/240518168576*n^7 - 1091940219/481036337152*n^8 + 33522753/30064771072*n^9 + 40499933/68719476736*n^10 - 324917351/240518168576*n^11) * eps^18
-        + (96292605/137438953472 - 65462715/68719476736*n - 97786455/137438953472*n^2 + 85607565/68719476736*n^3 + 359327175/481036337152*n^4 - 762768759/481036337152*n^5 - 159920877/481036337152*n^6 + 852547365/481036337152*n^7 - 189618327/481036337152*n^8 - 831922211/481036337152*n^9 + 903295221/481036337152*n^10) * eps^19
-        + (177052965/274877906944 - 198593385/274877906944*n - 120299805/137438953472*n^2 + 850632495/962072674304*n^3 + 255130545/240518168576*n^4 - 1668127191/1924145348608*n^5 - 2324152365/1924145348608*n^6 + 2128566621/1924145348608*n^7 + 2025323859/1924145348608*n^8 - 2724276899/1924145348608*n^9) * eps^20
-        + (338946975/549755813888 - 82552875/137438953472*n - 471549795/549755813888*n^2 + 446058513/962072674304*n^3 + 4645483323/3848290697216*n^4 - 514236729/1924145348608*n^5 - 2539636863/1924145348608*n^6 + 110256645/1924145348608*n^7 + 2860511727/1924145348608*n^8) * eps^21
-        + (2519012745/4398046511104 - 8042808615/17592186044416*n - 15323258283/17592186044416*n^2 + 13365078339/61572651155456*n^3 + 2371903421/2199023255552*n^4 + 34764704609/123145302310912*n^5 - 139920418129/123145302310912*n^6 - 38482766489/61572651155456*n^7) * eps^22
-        + (19248770055/35184372088832 - 6660671445/17592186044416*n - 28084233477/35184372088832*n^2 - 4351178653/123145302310912*n^3 + 236611923917/246290604621824*n^4 + 68150566051/123145302310912*n^5 - 172847147773/246290604621824*n^6) * eps^23
-        + (36031799979/70368744177664 - 5033314047/17592186044416*n - 107266336785/140737488355328*n^2 - 20083658499/123145302310912*n^3 + 727351416229/985162418487296*n^4 + 46669684549/61572651155456*n^5) * eps^24
-        + (34437446319/70368744177664 - 33102303575/140737488355328*n - 187327049/274877906944*n^2 - 290583351929/985162418487296*n^3 + 10224940189/17592186044416*n^4) * eps^25
-        + (259380435671/562949953421312 - 195750751369/1125899906842624*n - 713851834615/1125899906842624*n^2 - 2727777187263/7881299347898368*n^3) * eps^26
-        + (993200127657/2251799813685248 - 158323530281/1125899906842624*n - 631656315671/1125899906842624*n^2) * eps^27
-        + (13155294584639/31525197391593472 - 13930847115/140737488355328*n) * eps^28
-        + 112658685443/281474976710656 * eps^29;
-C3[15] = + (646323/1073741824 - 1710855/1073741824*n + 2217775/1073741824*n^2 - 2124395/1073741824*n^3 + 1638819/1073741824*n^4 - 1049191/1073741824*n^5 + 563615/1073741824*n^6 - 254475/1073741824*n^7 + 96135/1073741824*n^8 - 150423/5368709120*n^9 + 38367/5368709120*n^10 - 4669/3221225472*n^11 + 725/3221225472*n^12 - 27/1073741824*n^13 + 29/16106127360*n^14) * eps^15
-        + (1710855/2147483648 - 2217775/1073741824*n + 2331165/1073741824*n^2 - 1059863/1073741824*n^3 - 563615/1073741824*n^4 + 1586793/1073741824*n^5 - 1732315/1073741824*n^6 + 1306305/1073741824*n^7 - 3776409/5368709120*n^8 + 346173/1073741824*n^9 - 1902313/16106127360*n^10 + 36917/1073741824*n^11 - 25153/3221225472*n^12 + 21547/16106127360*n^13) * eps^16
-        + (5892945/8589934592 - 6800065/4294967296*n + 3577121/4294967296*n^2 + 4983157/4294967296*n^3 - 10069699/4294967296*n^4 + 7701733/4294967296*n^5 - 502541/2147483648*n^6 - 1414127/1342177280*n^7 + 968223/671088640*n^8 - 6128483/5368709120*n^9 + 41761247/64424509440*n^10 - 18009853/64424509440*n^11 + 5979931/64424509440*n^12) * eps^17
-        + (5972985/8589934592 - 5892945/4294967296*n + 22011/134217728*n^2 + 6844087/4294967296*n^3 - 5882157/4294967296*n^4 - 326337/536870912*n^5 + 18126537/8589934592*n^6 - 18908667/10737418240*n^7 + 2622383/10737418240*n^8 + 21415079/21474836480*n^9 - 55870711/42949672960*n^10 + 4095751/4294967296*n^11) * eps^18
-        + (86853405/137438953472 - 144315455/137438953472*n - 49728185/137438953472*n^2 + 108068645/68719476736*n^3 - 12628253/34359738368*n^4 - 25408437/17179869184*n^5 + 43573631/34359738368*n^6 + 24761157/34359738368*n^7 - 17319235/8589934592*n^8 + 240067131/171798691840*n^9 + 31601183/257698037760*n^10) * eps^19
-        + (168754335/274877906944 - 122304455/137438953472*n - 150252509/274877906944*n^2 + 165190351/137438953472*n^3 + 308731767/687194767360*n^4 - 257790947/171798691840*n^5 + 4546243/68719476736*n^6 + 264538841/171798691840*n^7 - 69252419/85899345920*n^8 - 101279697/85899345920*n^9) * eps^20
-        + (9748205/17179869184 - 2961915/4294967296*n - 789535179/1099511627776*n^2 + 2502565179/2748779069440*n^3 + 892979397/1099511627776*n^4 - 4058500961/4123168604160*n^5 - 348426329/412316860416*n^6 + 858120331/687194767360*n^7 + 2315189833/4123168604160*n^8) * eps^21
-        + (299705865/549755813888 - 638342925/1099511627776*n - 4003125229/5497558138880*n^2 + 3007831367/5497558138880*n^3 + 16848959603/16492674416640*n^4 - 1323821551/2748779069440*n^5 - 9300135223/8246337208320*n^6 + 169736315/412316860416*n^7) * eps^22
-        + (17894468415/35184372088832 - 15913542447/35184372088832*n - 133457144181/175921860444160*n^2 + 56414449099/175921860444160*n^3 + 514339794913/527765581332480*n^4 + 15799330939/527765581332480*n^5 - 116951809217/105553116266496*n^6) * eps^23
-        + (34289203599/70368744177664 - 13355533647/35184372088832*n - 37471080293/52776558133248*n^2 + 8836479539/105553116266496*n^3 + 80449237869/87960930222080*n^4 + 171417192913/527765581332480*n^5) * eps^24
-        + (32203691103/70368744177664 - 249040377061/844424930131968*n - 484768709513/703687441776640*n^2 - 100719650663/2111062325329920*n^3 + 525315006811/703687441776640*n^4) * eps^25
-        + (246854172911/562949953421312 - 104020069985/422212465065984*n - 5286374681359/8444249301319680*n^2 - 384367611317/2111062325329920*n^3) * eps^26
-        + (932306372777/2251799813685248 - 425703913753/2251799813685248*n - 3317960448433/5629499534213120*n^2) * eps^27
-        + (1788762256877/4503599627370496 - 528241493161/3377699720527872*n) * eps^28
-        + 3392857970671/9007199254740992 * eps^29;
-C3[16] = + (17678835/34359738368 - 5892945/4294967296*n + 7753875/4294967296*n^2 - 15197595/8589934592*n^3 + 12096045/8589934592*n^4 - 4032015/4294967296*n^5 + 2278965/4294967296*n^6 - 4382625/17179869184*n^7 + 1788111/17179869184*n^8 - 153729/4294967296*n^9 + 44051/4294967296*n^10 - 20677/8589934592*n^11 + 3875/8589934592*n^12 - 279/4294967296*n^13) * eps^16
-        + (5892945/8589934592 - 7753875/4294967296*n + 33806895/17179869184*n^2 - 2171085/2147483648*n^3 - 5272635/17179869184*n^4 + 2629575/2147483648*n^5 - 49961925/34359738368*n^6 + 315549/268435456*n^7 - 25144131/34359738368*n^8 + 97991/268435456*n^9 - 2539675/17179869184*n^10 + 104315/2147483648*n^11 - 220193/17179869184*n^12) * eps^17
-        + (10235115/17179869184 - 97078515/68719476736*n + 57998985/68719476736*n^2 + 30085035/34359738368*n^3 - 140769915/68719476736*n^4 + 242500755/137438953472*n^5 - 65388765/137438953472*n^6 - 51866007/68719476736*n^7 + 174649629/137438953472*n^8 - 154238733/137438953472*n^9 + 48486449/68719476736*n^10 - 11678227/34359738368*n^11) * eps^18
-        + (83431695/137438953472 - 85292625/68719476736*n + 35047515/137438953472*n^2 + 92601495/68719476736*n^3 - 375786495/274877906944*n^4 - 36110133/137438953472*n^5 + 486541497/274877906944*n^6 - 243255915/137438953472*n^7 + 153035871/274877906944*n^8 + 46310869/68719476736*n^9 - 319425953/274877906944*n^10) * eps^19
-        + (38149065/68719476736 - 133056495/137438953472*n - 123158505/549755813888*n^2 + 3098731635/2199023255552*n^3 - 1178980065/2199023255552*n^4 - 324619011/274877906944*n^5 + 183751105/137438953472*n^6 + 76834833/274877906944*n^7 - 937074355/549755813888*n^8 + 1685222465/1099511627776*n^9) * eps^20
-        + (4652325/8589934592 - 456372855/549755813888*n - 1811480505/4398046511104*n^2 + 1251405303/1099511627776*n^3 + 925958313/4398046511104*n^4 - 1506611625/1099511627776*n^5 + 99867213/274877906944*n^6 + 172997329/137438953472*n^7 - 2305540773/2199023255552*n^8) * eps^21
-        + (1106107125/2199023255552 - 11527530885/17592186044416*n - 10297013847/17592186044416*n^2 + 7988241603/8796093022208*n^3 + 10444117217/17592186044416*n^4 - 18068838281/17592186044416*n^5 - 4569806627/8796093022208*n^6 + 11141677047/8796093022208*n^7) * eps^22
-        + (17062152465/35184372088832 - 9812616465/17592186044416*n - 21645687783/35184372088832*n^2 + 10515729759/17592186044416*n^3 + 29676530299/35184372088832*n^4 - 2748637785/4398046511104*n^5 - 31988983111/35184372088832*n^6) * eps^23
-        + (63917467893/140737488355328 - 15585334599/35184372088832*n - 92640075585/140737488355328*n^2 + 55477610943/140737488355328*n^3 + 60444721971/70368744177664*n^4 - 23535121849/140737488355328*n^5) * eps^24
-        + (15353322477/35184372088832 - 52919675455/140737488355328*n - 176994259657/281474976710656*n^2 + 24691209499/140737488355328*n^3 + 119255343701/140737488355328*n^4) * eps^25
-        + (231447333341/562949953421312 - 336197745329/1125899906842624*n - 697975437421/1125899906842624*n^2 + 51290363939/1125899906842624*n^3) * eps^26
-        + (889178086077/2251799813685248 - 284507373851/1125899906842624*n - 644017953049/1125899906842624*n^2) * eps^27
-        + (1683573628847/4503599627370496 - 897506094655/4503599627370496*n) * eps^28
-        + 3236675038231/9007199254740992 * eps^29;
-C3[17] = + (64822395/146028888064 - 10235115/8589934592*n + 3411705/2147483648*n^2 - 3411705/2147483648*n^3 + 2791395/2147483648*n^4 - 1928355/2147483648*n^5 + 2278965/4294967296*n^6 - 1157013/4294967296*n^7 + 504339/4294967296*n^8 - 187891/4294967296*n^9 + 29667/2147483648*n^10 - 7843/2147483648*n^11 + 1705/2147483648*n^12) * eps^17
-        + (10235115/17179869184 - 3411705/2147483648*n + 30705345/17179869184*n^2 - 2171085/2147483648*n^3 - 148335/1073741824*n^4 + 4328685/4294967296*n^5 - 11184459/8589934592*n^6 + 4819539/4294967296*n^7 - 801009/1073741824*n^8 + 860343/2147483648*n^9 - 1518473/8589934592*n^10 + 138105/2147483648*n^11) * eps^18
-        + (71645805/137438953472 - 173996955/137438953472*n + 115067505/137438953472*n^2 + 89230245/137438953472*n^3 - 122538195/68719476736*n^4 + 116788191/68719476736*n^5 - 44648835/68719476736*n^6 - 34126939/68719476736*n^7 + 75175279/68719476736*n^8 - 73970743/68719476736*n^9 + 51014623/68719476736*n^10) * eps^19
-        + (146703315/274877906944 - 154767345/137438953472*n + 43785795/137438953472*n^2 + 156007965/137438953472*n^3 - 364998495/274877906944*n^4 + 115971/68719476736*n^5 + 24948149/17179869184*n^6 - 117523573/68719476736*n^7 + 53786953/68719476736*n^8 + 26103457/68719476736*n^9) * eps^20
-        + (134917425/274877906944 - 982018155/1099511627776*n - 128013105/1099511627776*n^2 + 172486635/137438953472*n^3 - 712641795/1099511627776*n^4 - 1003151847/1099511627776*n^5 + 365003889/274877906944*n^6 - 17906623/274877906944*n^7 - 94572227/68719476736*n^8) * eps^21
-        + (1057102635/2199023255552 - 850997895/1099511627776*n - 663815307/2199023255552*n^2 + 1169497413/1099511627776*n^3 + 49560971/2199023255552*n^4 - 669423269/549755813888*n^5 + 1259901225/2199023255552*n^6 + 266092003/274877906944*n^7) * eps^22
-        + (15777490455/35184372088832 - 21840324879/35184372088832*n - 16655962689/35184372088832*n^2 + 31191967407/35184372088832*n^3 + 14292320879/35184372088832*n^4 - 35796602007/35184372088832*n^5 - 8516465049/35184372088832*n^6) * eps^23
-        + (30518839359/70368744177664 - 18775799295/35184372088832*n - 9098510199/17592186044416*n^2 + 21950540481/35184372088832*n^3 + 93296577/137438953472*n^4 - 25028086871/35184372088832*n^5) * eps^24
-        + (28684124199/70368744177664 - 121237396839/281474976710656*n - 80108249325/140737488355328*n^2 + 62476546353/140737488355328*n^3 + 104269770907/140737488355328*n^4) * eps^25
-        + (221067686111/562949953421312 - 51971219667/140737488355328*n - 312369078125/562949953421312*n^2 + 34424571581/140737488355328*n^3) * eps^26
-        + (835594467657/2251799813685248 - 672205282129/2251799813685248*n - 9778893735/17592186044416*n^2) * eps^27
-        + (1608685463477/4503599627370496 - 1123143299/4398046511104*n) * eps^28
-        + 3053457067201/9007199254740992 * eps^29;
-C3[18] = + (39803225/103079215104 - 71645805/68719476736*n + 96664975/68719476736*n^2 - 12302815/8589934592*n^3 + 10316025/8589934592*n^4 - 29419775/34359738368*n^5 + 18079789/34359738368*n^6 - 4814145/17179869184*n^7 + 20005447/154618822656*n^8 - 15970735/309237645312*n^9 + 608685/34359738368*n^10 - 133331/25769803776*n^11) * eps^18
-        + (71645805/137438953472 - 96664975/68719476736*n + 223621755/137438953472*n^2 - 68391425/68719476736*n^3 - 534905/68719476736*n^4 + 28288833/34359738368*n^5 - 79700845/68719476736*n^6 + 328110727/309237645312*n^7 - 51427295/68719476736*n^8 + 132652751/309237645312*n^9 - 42045641/206158430208*n^10) * eps^19
-        + (126233085/274877906944 - 313153165/274877906944*n + 450214705/549755813888*n^2 + 128894125/274877906944*n^3 - 851033855/549755813888*n^4 + 27708079/17179869184*n^5 - 635023933/824633720832*n^6 - 10743949/38654705664*n^7 + 2277775685/2473901162496*n^8 - 39095495/38654705664*n^9) * eps^20
-        + (259599735/549755813888 - 563308905/549755813888*n + 6216585/17179869184*n^2 + 523725935/549755813888*n^3 - 696028275/549755813888*n^4 + 248241769/1236950581248*n^5 + 360205027/309237645312*n^6 - 1324703563/824633720832*n^7 + 578515831/618475290624*n^8) * eps^21
-        + (1919738085/4398046511104 - 14510296015/17592186044416*n - 571757707/17592186044416*n^2 + 9787185553/8796093022208*n^3 - 14198943547/19791209299968*n^4 - 35731280915/52776558133248*n^5 + 200707555277/158329674399744*n^6 - 1602798301/4947802324992*n^7) * eps^22
-        + (15095149455/35184372088832 - 12695123317/17592186044416*n - 7461993973/35184372088832*n^2 + 17320543045/17592186044416*n^3 - 38933502733/316659348799488*n^4 - 167508491351/158329674399744*n^5 + 225029316355/316659348799488*n^6) * eps^23
-        + (28276211939/70368744177664 - 10324749795/17592186044416*n - 160063685731/422212465065984*n^2 + 44977263973/52776558133248*n^3 + 34943975527/140737488355328*n^4 - 76982106281/79164837199872*n^5) * eps^24
-        + (27428616759/70368744177664 - 214928208341/422212465065984*n - 1901680771/4398046511104*n^2 + 266821592123/422212465065984*n^3 + 168025657159/316659348799488*n^4) * eps^25
-        + (206917174391/562949953421312 - 1407328813243/3377699720527872*n - 1656940587997/3377699720527872*n^2 + 1604700872215/3377699720527872*n^3) * eps^26
-        + (799328663817/2251799813685248 - 405743161697/1125899906842624*n - 17171897611/35184372088832*n^2) * eps^27
-        + (1514801868617/4503599627370496 - 1997506016729/6755399441055744*n) * eps^28
-        + 1461210130553/4503599627370496 * eps^29;
-C3[19] = + (883631595/2611340115968 - 126233085/137438953472*n + 172136025/137438953472*n^2 - 178123365/137438953472*n^3 + 76338585/68719476736*n^4 - 55981629/68719476736*n^5 + 35624673/68719476736*n^6 - 19791485/68719476736*n^7 + 9613007/68719476736*n^8 - 4075291/68719476736*n^9 + 1501423/68719476736*n^10) * eps^19
-        + (126233085/274877906944 - 172136025/137438953472*n + 204068505/137438953472*n^2 - 133218315/137438953472*n^3 + 25446195/274877906944*n^4 + 45803151/68719476736*n^5 - 70683875/68719476736*n^6 + 68421991/68719476736*n^7 - 12732847/17179869184*n^8 + 30944913/68719476736*n^9) * eps^20
-        + (447553665/1099511627776 - 282901815/274877906944*n + 1744810665/2199023255552*n^2 + 714788607/2199023255552*n^3 - 2949064317/2199023255552*n^4 + 3330058719/2199023255552*n^5 - 466513575/549755813888*n^6 - 52627801/549755813888*n^7 + 415894171/549755813888*n^8) * eps^21
-        + (231011535/549755813888 - 2056152345/2199023255552*n + 1715472699/4398046511104*n^2 + 1751396739/2199023255552*n^3 - 2620093247/2199023255552*n^4 + 381959029/1099511627776*n^5 + 4006284039/4398046511104*n^6 - 811840865/549755813888*n^7) * eps^22
-        + (13730467455/35184372088832 - 26834758935/35184372088832*n + 1154658519/35184372088832*n^2 + 34587765501/35184372088832*n^3 - 26560472237/35184372088832*n^4 - 16713828219/35184372088832*n^5 + 41375557803/35184372088832*n^6) * eps^23
-        + (27079840719/70368744177664 - 23683023159/35184372088832*n - 4885170495/35184372088832*n^2 + 31837181505/35184372088832*n^3 - 8213174937/35184372088832*n^4 - 31695410011/35184372088832*n^5) * eps^24
-        + (25457271579/70368744177664 - 156005632095/281474976710656*n - 10545202575/35184372088832*n^2 + 114004448877/140737488355328*n^3 + 16505168273/140737488355328*n^4) * eps^25
-        + (198096366191/562949953421312 - 17051245797/35184372088832*n - 202196269517/562949953421312*n^2 + 44120523793/70368744177664*n^3) * eps^26
-        + (749484543777/2251799813685248 - 904154339527/2251799813685248*n - 237166138569/562949953421312*n^2) * eps^27
-        + (1451001339947/4503599627370496 - 197052059395/562949953421312*n) * eps^28
-        + 11027253546199/36028797018963968 * eps^29;
-C3[20] = + (328206021/1099511627776 - 447553665/549755813888*n + 616197075/549755813888*n^2 - 2588027715/2199023255552*n^3 + 11313378297/10995116277760*n^4 - 1063650951/1374389534720*n^5 + 139671337/274877906944*n^6 - 161159235/549755813888*n^7 + 81876301/549755813888*n^8 - 91508807/1374389534720*n^9) * eps^20
-        + (447553665/1099511627776 - 616197075/549755813888*n + 5973868485/4398046511104*n^2 - 5151407547/5497558138880*n^3 + 745124463/4398046511104*n^4 + 2933098077/5497558138880*n^5 - 999187257/1099511627776*n^6 + 255261409/274877906944*n^7 - 3993414699/5497558138880*n^8) * eps^21
-        + (797813055/2199023255552 - 16416787335/17592186044416*n + 67175859231/87960930222080*n^2 + 9242357391/43980465111040*n^3 - 102015059749/87960930222080*n^4 + 124091978953/87960930222080*n^5 - 39356567111/43980465111040*n^6 + 592399119/10995116277760*n^7) * eps^22
-        + (13225535115/35184372088832 - 15052072971/17592186044416*n + 71611679859/175921860444160*n^2 + 58313997297/87960930222080*n^3 - 195393281759/175921860444160*n^4 + 4977760923/10995116277760*n^5 + 24290150905/35184372088832*n^6) * eps^23
-        + (24669936369/70368744177664 - 12424628601/17592186044416*n + 11746262979/140737488355328*n^2 + 30472467141/35184372088832*n^3 - 541082739303/703687441776640*n^4 - 214208596351/703687441776640*n^5) * eps^24
-        + (24401503959/70368744177664 - 88423598371/140737488355328*n - 27848548649/351843720888320*n^2 + 582032816309/703687441776640*n^3 - 443970412913/1407374883553280*n^4) * eps^25
-        + (184144866101/562949953421312 - 73617505285/140737488355328*n - 163863036307/703687441776640*n^2 + 4297898591023/5629499534213120*n^3) * eps^26
-        + (89787248319/281474976710656 - 64845907663/140737488355328*n - 3332997588781/11258999068426240*n^2) * eps^27
-        + (10901346434011/36028797018963968 - 6951464328397/18014398509481984*n) * eps^28
-        + 10575447871909/36028797018963968 * eps^29;
-C3[21] = + (2038855585/7696581394432 - 797813055/1099511627776*n + 2216147375/2199023255552*n^2 - 2357980807/2199023255552*n^3 + 2098862037/2199023255552*n^4 - 4845520999/6597069766656*n^5 + 5726524817/11544872091648*n^6 - 1139229075/3848290697216*n^7 + 258225257/1649267441664*n^8) * eps^21
-        + (797813055/2199023255552 - 2216147375/2199023255552*n + 5478316311/4398046511104*n^2 - 1981576699/2199023255552*n^3 + 751444433/3298534883328*n^4 + 3238984625/7696581394432*n^5 - 10556856095/13194139533312*n^6 + 9949267255/11544872091648*n^7) * eps^22
-        + (11435320455/35184372088832 - 29873666615/35184372088832*n + 25744131691/35184372088832*n^2 + 4163629499/35184372088832*n^3 - 739894554773/738871813865472*n^4 + 965405949493/738871813865472*n^5 - 677248006993/738871813865472*n^6) * eps^23
-        + (23774829039/70368744177664 - 27620697099/35184372088832*n + 10971634235/26388279066624*n^2 + 405631341473/738871813865472*n^3 - 126601433727/123145302310912*n^4 + 129456725059/246290604621824*n^5) * eps^24
-        + (22261029909/70368744177664 - 553102652395/844424930131968*n + 8620472343/70368744177664*n^2 + 2249783201615/2955487255461888*n^3 - 2263819350305/2955487255461888*n^4) * eps^25
-        + (176646720641/562949953421312 - 123911959597/211106232532992*n - 51597036833/1688849860263936*n^2 + 39733441489/52776558133248*n^3) * eps^26
-        + (1337288787659/4503599627370496 - 2222831651699/4503599627370496*n - 795233577023/4503599627370496*n^2) * eps^27
-        + (2614429242859/9007199254740992 - 5913700976995/13510798882111488*n) * eps^28
-        + 9945743757025/36028797018963968 * eps^29;
-C3[22] = + (11435320455/48378511622144 - 11435320455/17592186044416*n + 16009448637/17592186044416*n^2 - 8620472343/8796093022208*n^3 + 7799474977/8796093022208*n^4 - 12256317821/17592186044416*n^5 + 8491054039/17592186044416*n^6 - 653158003/2199023255552*n^7) * eps^22
-        + (11435320455/35184372088832 - 16009448637/17592186044416*n + 40287513603/35184372088832*n^2 - 15188451271/17592186044416*n^3 + 9558755047/35184372088832*n^4 + 5724737791/17592186044416*n^5 - 24704740937/35184372088832*n^6) * eps^23
-        + (20583576819/70368744177664 - 27268841085/35184372088832*n + 98343755913/140737488355328*n^2 + 1583352063/35184372088832*n^3 - 121489410719/140737488355328*n^4 + 21194269441/17592186044416*n^5) * eps^24
-        + (10731608427/35184372088832 - 101627745377/140737488355328*n + 14719309919/35184372088832*n^2 + 63574719679/140737488355328*n^3 - 66603916857/70368744177664*n^4) * eps^25
-        + (322710607507/1125899906842624 - 1370068675847/2251799813685248*n + 343057591489/2251799813685248*n^2 + 751691842047/1125899906842624*n^3) * eps^26
-        + (1283746667079/4503599627370496 - 1236043889089/2251799813685248*n + 40279424959/4503599627370496*n^2) * eps^27
-        + (2436782869279/9007199254740992 - 4195124656575/9007199254740992*n) * eps^28
-        + 4774615334345/18014398509481984 * eps^29;
-C3[23] = + (171529806825/809240558043136 - 20583576819/35184372088832*n + 29028121155/35184372088832*n^2 - 31608398591/35184372088832*n^3 + 29028121155/35184372088832*n^4 - 23244740695/35184372088832*n^5 + 16482634311/35184372088832*n^6) * eps^23
-        + (20583576819/70368744177664 - 29028121155/35184372088832*n + 37120809477/35184372088832*n^2 - 29028121155/35184372088832*n^3 + 10699253851/35184372088832*n^4 + 8608339377/35184372088832*n^5) * eps^24
-        + (74417546961/281474976710656 - 99868465307/140737488355328*n + 46855492531/70368744177664*n^2 - 475207835/35184372088832*n^3 - 26136430925/35184372088832*n^4) * eps^25
-        + (77818821763/281474976710656 - 46855492531/70368744177664*n + 117206473721/281474976710656*n^2 + 25946347791/70368744177664*n^3) * eps^26
-        + (1173967590711/4503599627370496 - 2549380838081/4503599627370496*n + 787609465729/4503599627370496*n^2) * eps^27
-        + (2340726177457/9007199254740992 - 2314357198017/4503599627370496*n) * eps^28
-        + 556913250205/2251799813685248 * eps^29;
-C3[24] = + (107492012277/562949953421312 - 74417546961/140737488355328*n + 316963625945/422212465065984*n^2 - 697319977079/844424930131968*n^3 + 216409648059/281474976710656*n^4 - 264500680961/422212465065984*n^5) * eps^24
-        + (74417546961/281474976710656 - 316963625945/422212465065984*n + 548484883157/562949953421312*n^2 - 41533164779/52776558133248*n^3 + 553046878373/1688849860263936*n^4) * eps^25
-        + (135054066707/562949953421312 - 4401660092471/6755399441055744*n + 4279816803577/6755399441055744*n^2 - 202913745545/3377699720527872*n^3) * eps^26
-        + (1132800437073/4503599627370496 - 1385801088427/2251799813685248*n + 1851694849861/4503599627370496*n^2) * eps^27
-        + (1071403584791/4503599627370496 - 7127072067763/13510798882111488*n) * eps^28
-        + 1045457237/4398046511104 * eps^29;
-C3[25] = + (1215486600363/7036874417766400 - 135054066707/281474976710656*n + 96467190505/140737488355328*n^2 - 107111846009/140737488355328*n^3 + 504955845471/703687441776640*n^4) * eps^25
-        + (135054066707/562949953421312 - 96467190505/140737488355328*n + 507617009347/562949953421312*n^2 - 527575738417/703687441776640*n^3) * eps^26
-        + (983965343151/4503599627370496 - 2701746625109/4503599627370496*n + 13560625821127/22517998136852480*n^2) * eps^27
-        + (2068389622621/9007199254740992 - 2567357849371/4503599627370496*n) * eps^28
-        + 1961943067581/9007199254740992 * eps^29;
-C3[26] = + (2295919134019/14636698788954112 - 983965343151/2251799813685248*n + 1413743309125/2251799813685248*n^2 - 395848126555/562949953421312*n^3) * eps^26
-        + (983965343151/4503599627370496 - 1413743309125/2251799813685248*n + 3766212175509/4503599627370496*n^2) * eps^27
-        + (1798281489207/9007199254740992 - 4987686394593/9007199254740992*n) * eps^28
-        + 3788832068455/18014398509481984 * eps^29;
-C3[27] = + (17383387729001/121597189939003392 - 1798281489207/4503599627370496*n + 7792553119897/13510798882111488*n^2) * eps^27
-        + (1798281489207/9007199254740992 - 7792553119897/13510798882111488*n) * eps^28
-        + 6593698793759/36028797018963968 * eps^29;
-C3[28] = + (4709784852685/36028797018963968 - 6593698793759/18014398509481984*n) * eps^28
-        + 6593698793759/36028797018963968 * eps^29;
-C3[29] = + 125280277081421/1044835113549955072 * eps^29;
-
-C4[0] = + (2/3 - 4/15*n + 8/105*n^2 + 4/315*n^3 + 16/3465*n^4 + 20/9009*n^5 + 8/6435*n^6 + 28/36465*n^7 + 32/62985*n^8 + 4/11305*n^9 + 40/156009*n^10 + 44/229425*n^11 + 16/108675*n^12 + 52/450225*n^13 + 56/606825*n^14 + 20/267003*n^15 + 64/1038345*n^16 + 68/1324785*n^17 + 8/185185*n^18 + 76/2070705*n^19 + 80/2544009*n^20 + 28/1031355*n^21 + 88/3728745*n^22 + 92/4456305*n^23 + 32/1761795*n^24 + 100/6225009*n^25 + 104/7284585*n^26 + 12/941545*n^27 + 112/9803145*n^28 + 116/11282865*n^29)
-        - (1/5 - 16/35*n + 32/105*n^2 - 16/385*n^3 - 64/15015*n^4 - 16/15015*n^5 - 32/85085*n^6 - 112/692835*n^7 - 128/1616615*n^8 - 144/3380195*n^9 - 32/1300075*n^10 - 176/11700675*n^11 - 64/6653325*n^12 - 208/32566275*n^13 - 224/51175575*n^14 - 16/5191725*n^15 - 256/115256295*n^16 - 272/166481315*n^17 - 288/235370135*n^18 - 304/326481155*n^19 - 64/89040315*n^20 - 112/199280705*n^21 - 352/791736855*n^22 - 368/1035348195*n^23 - 128/446125645*n^24 - 16/68475099*n^25 - 416/2168378135*n^26 - 432/2722006595*n^27 - 448/3388620455*n^28) * eps
-        - (2/105 + 32/315*n - 1088/3465*n^2 + 1184/5005*n^3 - 128/3465*n^4 - 3232/765765*n^5 - 1856/1616615*n^6 - 6304/14549535*n^7 - 65792/334639305*n^8 - 288/2860165*n^9 - 25664/456326325*n^10 - 34144/1017958725*n^11 - 73856/3506302275*n^12 - 281632/20419054425*n^13 - 10048/1074687075*n^14 - 28832/4418157975*n^15 - 20992/4494995505*n^16 - 48416/14176524285*n^17 - 747072/293506558345*n^18 - 175712/91088242245*n^19 - 204928/138101528565*n^20 - 11296/9764754545*n^21 - 104896/114923649645*n^22 - 1558112/2140064719065*n^23 - 118016/201202665895*n^24 - 80032/167832467649*n^25 - 450112/1151408789685*n^26 - 2520288/7803992907865*n^27) * eps^2
-        + (11/315 - 368/3465*n - 32/6435*n^2 + 976/4095*n^3 - 154048/765765*n^4 + 368/11115*n^5 + 5216/1322685*n^6 + 372208/334639305*n^7 + 13184/30421755*n^8 + 29008/143416845*n^9 + 15459424/145568097675*n^10 + 24876368/410237366175*n^11 + 107584/2917007775*n^12 + 8182096/347123925225*n^13 + 1076896/68682273975*n^14 + 5572816/516924483075*n^15 + 419584/55049100795*n^16 + 3975824/720425188665*n^17 + 32325856/7924677075315*n^18 + 4950032/1612380184155*n^19 + 10050752/4281147385515*n^20 + 29925872/16434081899235*n^21 + 6663008/4657787917965*n^22 + 141444848/124429477237065*n^23 + 408253312/447273526284585*n^24 + 27307792/36907885385721*n^25 + 261022112/431449322191965*n^26) * eps^3
-        + (4/1155 + 1088/45045*n - 128/1287*n^2 + 64/3927*n^3 + 2877184/14549535*n^4 - 370112/2078505*n^5 + 3369088/111546435*n^6 + 6158272/1673196525*n^7 + 1772032/1673196525*n^8 + 582592/1386362835*n^9 + 69229184/347123925225*n^10 + 479862464/4512611027925*n^11 + 13232896/214886239425*n^12 + 487333184/12843585233325*n^13 + 4097514368/166966608033225*n^14 + 2215403584/134228057438475*n^15 + 22961152/2002940359695*n^16 + 7455695168/911337863661225*n^17 + 3709076864/620766370899675*n^18 + 552729152/124153274179935*n^19 + 7124808448/2110605661058895*n^20 + 23396048576/9000398853481035*n^21 + 353516672/174201268131891*n^22 + 58336832/36371693346219*n^23 + 417179454976/325466035959749685*n^24 + 333125284288/321947484219644283*n^25) * eps^4
-        + (97/15015 - 464/45045*n + 4192/153153*n^2 - 88240/969969*n^3 + 31168/1322685*n^4 + 11513072/66927861*n^5 - 90038048/557732175*n^6 + 56656/2028117*n^7 + 11176576/3234846615*n^8 + 1514798224/1504203675975*n^9 + 364902368/902522205585*n^10 + 875443216/4512611027925*n^11 + 1163297728/11131107202215*n^12 + 65826704/1077203922795*n^13 + 260103719072/6845630929362225*n^14 + 44215340656/1784012908864095*n^15 + 290929029376/17315419409563275*n^16 + 100721472976/8566575918415515*n^17 + 14151520/1674794900961*n^18 + 65554773104/10553028305294475*n^19 + 104193472576/22372420007224287*n^20 + 927092143568/261011566750950015*n^21 + 282176032480/102604546929683799*n^22 + 421431700016/195279621575849811*n^23 + 34028203613312/19853428193544730785*n^24) * eps^5
-        + (10/9009 + 4192/765765*n - 188096/14549535*n^2 + 23392/855855*n^3 - 2550656/30421755*n^4 + 44131552/1673196525*n^5 + 257683264/1673196525*n^6 - 31240736/210054975*n^7 + 451386112/17289697425*n^8 + 14726527328/4512611027925*n^9 + 4331513024/4512611027925*n^10 + 12975935008/33393321606645*n^11 + 31373075584/166966608033225*n^12 + 698039074144/6845630929362225*n^13 + 29703628096/494726268844665*n^14 + 1005634034464/26760193632961425*n^15 + 341277050932736/13835020108241056725*n^16 + 2337486955424/138945682579178475*n^17 + 5486091652672/463373879223384675*n^18 + 110047548877984/12864141504153965025*n^19 + 207975286912/32900617657682775*n^20 + 116341576864/24429654030877095*n^21 + 3202897200884032/877781898983444900445*n^22 + 5239237147019168/1846368821999659963005*n^23) * eps^6
-        + (193/85085 - 6832/2078505*n + 106976/14549535*n^2 - 26672/1956955*n^3 + 521792/19684665*n^4 - 130524976/1673196525*n^5 + 3724256/135917925*n^6 + 3355734064/23876248825*n^7 - 9928194688/71628746475*n^8 + 649052336/26389538175*n^9 + 27235216864/8787716212275*n^10 + 1802925232/1964313035685*n^11 + 56875960256/152125131763605*n^12 + 89961920528/494726268844665*n^13 + 834516960736/8410346570359305*n^14 + 12897954159632/219603493781604075*n^15 + 188320698409216/5097112671457231425*n^16 + 2360065137403504/96845140757687397075*n^17 + 9522329813406688/570310273350825782775*n^18 + 1062828903347216/90048990529077755175*n^19 + 44538234246208/5200397629338836925*n^20 + 15623861307536/2458772826284159385*n^21 + 1934793328169696/402591698030001044565*n^22) * eps^7
-        + (632/1322685 + 3456/1616615*n - 517376/111546435*n^2 + 27264/3380195*n^3 - 13728256/1003917915*n^4 + 337485952/13233463425*n^5 - 3335807744/45581929575*n^6 + 5933931904/214886239425*n^7 + 773057536/5945469075*n^8 - 2417337857408/18551845337025*n^9 + 35074718464/1504203675975*n^10 + 122682333568/41488672299165*n^11 + 5759356066304/6541380665835015*n^12 + 21217115597696/58872425992515135*n^13 + 6327384910592/35935117164262485*n^14 + 45144358136704/467850921534721725*n^15 + 168307641997312/2934701235081436275*n^16 + 114971778089344/3174268682843186175*n^17 + 279118225250048/11638985170425015975*n^18 + 2565033841015936/155539165459316122575*n^19 + 22281895799258624/1904621101567852142475*n^20 + 499531826463207808/58644190679703485491635*n^21) * eps^8
-        + (107/101745 - 4976/3380195*n + 582496/185910725*n^2 - 88112/16787925*n^3 + 241875008/29113619535*n^4 - 60768482384/4512611027925*n^5 + 110550963232/4512611027925*n^6 - 103976595664/1504203675975*n^7 + 80357441408/2929238737425*n^8 + 6763222232848/55655536011075*n^9 - 67861105568/550247643225*n^10 + 2212522672/99570961035*n^11 + 3295501210304/1163486679693975*n^12 + 901465527762928/1064232316018542825*n^13 + 6742139143828448/19369028151537479415*n^14 + 16530402013984624/96845140757687397075*n^15 + 12353373376796416/131610063080959796025*n^16 + 95765418832375792/1710930820052477348325*n^17 + 60673550827813472/1710930820052477348325*n^18 + 81981470164643248/3480859254589522881075*n^19 + 4349006711700386752/267723479189950694635725*n^20) * eps^9
-        + (1270/5148297 + 1376/1300075*n - 9664/4345965*n^2 + 2352160/646969323*n^3 - 1466054528/265447707525*n^4 + 1074734176/128931743655*n^5 - 129362368/9831396575*n^6 + 262162305568/11131107202215*n^7 - 38465435392/585847747485*n^8 + 267247345312/9878255309325*n^9 + 204209273106368/1784012908864095*n^10 - 3241185114016/27616298898825*n^11 + 6531220421504/307137753540705*n^12 + 3098495334496/1138216380768495*n^13 + 6086870028208448/7449626212129799775*n^14 + 38423353322878112/114062054670165156555*n^15 + 40496366139608576/244418688578925335475*n^16 + 665236142568416/7280556681074371695*n^17 + 367678743052291904/6729661225539744236745*n^18 + 30529744338007608544/879662860195552282374525*n^19) * eps^10
-        + (481/841225 - 27632/35102025*n + 238304/145422675*n^2 - 2354704/893763325*n^3 + 1351995712/347123925225*n^4 - 3628654736/644658718275*n^5 + 30646053728/3710369067405*n^6 - 2139721666448/166966608033225*n^7 + 14114295321472/622330084487475*n^8 - 409450644752/6534845820015*n^9 + 10307920635808/387828893231325*n^10 + 3499011467373232/32249464121774025*n^11 - 1206016607114944/10749821373924675*n^12 + 9545159677072/467383537996725*n^13 + 15013719882592/5721927876221025*n^14 + 34656665188077392/43870021026986598675*n^15 + 389398246998784/1192286285750855295*n^16 + 73559957119861936/456764336575095762675*n^17 + 182732593408974929312/2052546673789621992207225*n^18) * eps^11
-        + (2228/15540525 + 36032/59879925*n - 39261056/31556720475*n^2 + 1244864/629988975*n^3 - 12932462848/4512611027925*n^4 + 671728862912/166966608033225*n^5 - 37698002816/6678664321329*n^6 + 11134144068416/1369126185872445*n^7 - 733991428969984/58872425992515135*n^8 + 1232714276672/56337249753603*n^9 - 4429833678464/73797400736325*n^10 + 840415474013504/32249464121774025*n^11 + 3333478527060224/32249464121774025*n^12 - 2666448379438912/24771327513826425*n^13 + 16284062335255936/827736245792199975*n^14 + 333689425966716992/131610063080959796025*n^15 + 15659534365696/20459768715569799*n^16 + 22977355952311693888/72442823780810187960255*n^17) * eps^12
-        + (673/1950975 - 45968/97698825*n + 19761248/20419054425*n^2 - 5684848/3732515325*n^3 + 27973845952/12843585233325*n^4 - 500069826512/166966608033225*n^5 + 372104734816/91275079058163*n^6 - 1627062252976/290011950702045*n^7 + 12698466842752/1591146648446355*n^8 - 172098932532272/14189764213580571*n^9 + 4774693008614176/225746248852418175*n^10 - 13025415886952528/225746248852418175*n^11 + 4848026099408192/189913510939335925*n^12 + 619763904190141936/6267145860998085525*n^13 - 649317315038718944/6267145860998085525*n^14 + 31106397870170704/1637148159767368325*n^15 + 2385779859697408/971669556445713741*n^16) * eps^13
-        + (238/2629575 + 57568/153526725*n - 825536/1074687075*n^2 + 1194848/995395275*n^3 - 283558943872/166966608033225*n^4 + 2715755872/1180892000925*n^5 - 780655005376/254858986980585*n^6 + 171825550350112/42051732851796525*n^7 - 996847690701056/179675585821312425*n^8 + 1628471419526944/208269119909005155*n^9 - 29311863367971392/2483208737376599925*n^10 + 10654809266315936/520197877790354925*n^11 - 2080206830396032/37399847422835975*n^12 + 156667139836595552/6267145860998085525*n^13 + 187740421210774336/1977334790368379925*n^14 - 44223083570335579744/442263881445727643225*n^15) * eps^14
-        + (299/1335015 - 14192/46725525*n + 4932448/7952684355*n^2 - 19928240/20676979323*n^3 + 41885845312/30975705562725*n^4 - 106538926231952/58872425992515135*n^5 + 698069390155552/294362129962575675*n^6 - 1222675417496752/395286288806887335*n^7 + 3426171103075456/842131658762499105*n^8 - 1101372339312272/201341248976481075*n^9 + 53459494241119136/6983391102255009585*n^10 - 30879408909358352/2685919654713465225*n^11 + 522986071597155776/26322012616191959205*n^12 - 1636740144692612656/30450955771673050845*n^13 + 1047772560655445344/42799730462489771925*n^14) * eps^15
-        + (1072/17651865 + 86272/345768885*n - 11421184/22474977525*n^2 + 16677632/21215118925*n^3 - 18154021888/16569779339295*n^4 + 25154349615872/17315419409563275*n^5 - 70485959553536/37493279426127525*n^6 + 17021847805184/7060227510219975*n^7 - 300116388621985792/96845140757687397075*n^8 + 53507403275733248/13263029612809901925*n^9 - 4780406888960512/887872765984679475*n^10 + 2564172609357098752/342186164010495469665*n^11 - 1706337226816984064/152254778858365254225*n^12 + 179287783277363696896/9287541510360280507725*n^13) * eps^16
-        + (1153/7507115 - 34544/166481315*n + 3700832/8775943605*n^2 - 1518032/2335595955*n^3 + 14928483904/16569779339295*n^4 - 5708509424/4814305899975*n^5 + 45794146362208/30141656009239775*n^6 - 5643458496441232/2934701235081436275*n^7 + 4156028415620301184/1710930820052477348325*n^8 - 1159757261134928/375451134529839225*n^9 + 525138269596488544/131610063080959796025*n^10 - 6287452560651272656/1187587275095248982955*n^11 + 25307469319858098112/3449658275276675617155*n^12) * eps^17
-        + (2554/59814755 + 41056/235370135*n - 14837824/41929508335*n^2 + 3390304/6234993765*n^3 - 279486378368/372459822539805*n^4 + 42044271006688/42832879592077575*n^5 - 908499403281088/728158953065318775*n^6 + 2673843470669421536/1710930820052477348325*n^7 - 3332038388900879104/1710930820052477348325*n^8 + 594639889428168928/244418688578925335475*n^9 - 309769385066082483008/100944918383096163551175*n^10 + 4852059199993865385248/1231528004273773195324335*n^11) * eps^18
-        + (1441/13114465 - 48336/326481155*n + 9106016/30362747415*n^2 - 13405488/29164499455*n^3 + 235380121664/372459822539805*n^4 - 2367311016464/2878098628716675*n^5 + 404878095158752/389822469822847425*n^6 - 116162066506295792/90048990529077755175*n^7 + 247341466765626752/155539165459316122575*n^8 - 65920898026272999856/33648306127698721183725*n^9 + 14943489055072437854816/6157640021368865976621675*n^10) * eps^19
-        + (10540/338353197 + 33856/267120945*n - 7082368/27620305713*n^2 + 261152960/665956259969*n^3 - 7940593572608/14774239627412265*n^4 + 916716116672/1316024706307311*n^5 - 163090405515904/186436833393535725*n^6 + 10548437608477504/9776747543157013419*n^7 - 26616602067570450944/20188983676619232710235*n^8 + 173518074547495685824/108028772304716946958275*n^9) * eps^20
-        + (587/7219485 - 196112/1793526345*n + 3884000/17576558181*n^2 - 637552/1890061173*n^3 + 12449720852672/27001196560443105*n^4 - 466255241229968/783034700252850045*n^5 + 527323603107424/708459966895435755*n^6 - 572248526956172944/626987070702460643175*n^7 + 973916019063553575808/879662860195552282374525*n^8) * eps^21
-        + (1562/66703105 + 225632/2375210565*n - 286544192/1494007445385*n^2 + 84782368/290045401485*n^3 - 49602255488/124429477237065*n^4 + 263298573036064/513022734648418995*n^5 - 186977038393815616/292593966327814966815*n^6 + 5964364063236744416/7649242262570019846735*n^7) * eps^22
-        + (2113/34165005 - 257968/3106044585*n + 358566688/2140064719065*n^2 - 106220624/416550139005*n^3 + 5743685513024/16549120472529645*n^4 - 435137683275536/976398107879249055*n^5 + 340361707744440224/615456273999886654335*n^6) * eps^23
-        + (3656/202606425 + 293248/4015130805*n - 38087936/258689141865*n^2 + 43924864/196258677615*n^3 - 1343496883712/4418090985878955*n^4 + 80846540749696/207527123974335165*n^5) * eps^24
-        + (2497/51875075 - 13264/205425297*n + 3118880/23976066807*n^2 - 810041200/4100876153969*n^3 + 86272944083264/321947484219644283*n^4) * eps^25
-        + (4654/327806325 + 124384/2168378135*n - 44329792/383802929895*n^2 + 65844896/375780173615*n^3) * eps^26
-        + (971/25421715 - 139344/2722006595*n + 804004512/7803992907865*n^2) * eps^27
-        + (29092/2558620845 + 155456/3388620455*n) * eps^28
-        + 3361/109067695 * eps^29;
-C4[1] = + (1/45 - 16/315*n + 32/945*n^2 - 16/3465*n^3 - 64/135135*n^4 - 16/135135*n^5 - 32/765765*n^6 - 112/6235515*n^7 - 128/14549535*n^8 - 16/3380195*n^9 - 32/11700675*n^10 - 176/105306075*n^11 - 64/59879925*n^12 - 208/293096475*n^13 - 224/460580175*n^14 - 16/46725525*n^15 - 256/1037306655*n^16 - 272/1498331835*n^17 - 32/235370135*n^18 - 304/2938330395*n^19 - 64/801362835*n^20 - 112/1793526345*n^21 - 352/7125631695*n^22 - 368/9318133755*n^23 - 128/4015130805*n^24 - 16/616275891*n^25 - 416/19515403215*n^26 - 48/2722006595*n^27 - 448/30497584095*n^28) * eps
-        - (2/105 - 64/945*n + 128/1485*n^2 - 1984/45045*n^3 + 256/45045*n^4 + 64/109395*n^5 + 128/855855*n^6 + 2368/43648605*n^7 + 24064/1003917915*n^8 + 64/5311735*n^9 + 9088/1368978975*n^10 + 704/179639775*n^11 + 11008/4508102925*n^12 + 10816/6806351475*n^13 + 128/119409675*n^14 + 29632/39763421775*n^15 + 1024/1926426645*n^16 + 214336/552884447115*n^17 + 84608/293506558345*n^18 + 8512/39037818105*n^19 + 69376/414304585695*n^20 + 11456/87882790905*n^21 + 153472/1494007445385*n^22 + 1472/17983737135*n^23 + 119296/1810823993055*n^24 + 26944/503497402947*n^25 + 21632/493460909865*n^26 + 282432/7803992907865*n^27) * eps^2
-        - (1/105 - 16/2079*n - 5792/135135*n^2 + 3568/45045*n^3 - 103744/2297295*n^4 + 264464/43648605*n^5 + 544/855855*n^6 + 165328/1003917915*n^7 + 303488/5019589575*n^8 + 135664/5019589575*n^9 + 6000928/436704293025*n^10 + 554224/72394829325*n^11 + 63424/13884957009*n^12 + 598832/208274355135*n^13 + 4282016/2266515041175*n^14 + 664784/516924483075*n^15 + 57332992/63581711418225*n^16 + 77073104/118870156129725*n^17 + 3775712/7924677075315*n^18 + 132893296/372459822539805*n^19 + 3489344/12843442156545*n^20 + 3450352/16434081899235*n^21 + 39053344/237547183816215*n^22 + 20023984/153707001292845*n^23 + 9334144/89454705256917*n^24 + 102792464/1217960217728793*n^25 + 124807072/1812087153206253*n^26) * eps^3
-        + (4/1155 - 2944/135135*n + 256/9009*n^2 + 17536/765765*n^3 - 3053056/43648605*n^4 + 1923968/43648605*n^5 - 2061568/334639305*n^6 - 1104256/1673196525*n^7 - 289792/1673196525*n^8 - 3114112/48522699225*n^9 - 391369984/13537833083775*n^10 - 98944/6685349671*n^11 - 7490048/902522205585*n^12 - 7679360/1541230227999*n^13 - 316086016/100179964819935*n^14 - 839709568/402684172315425*n^15 - 433629184/303779287887075*n^16 - 2751201664/2734013590983675*n^17 - 451501312/620766370899675*n^18 - 200058752/372459822539805*n^19 - 853023232/2110605661058895*n^20 - 8347485824/27001196560443105*n^21 - 626995456/2613019021978365*n^22 - 35348608/187348533651279*n^23 - 146563836928/976398107879249055*n^24 - 38855441792/321947484219644283*n^25) * eps^4
-        + (1/9009 + 16/19305*n - 2656/153153*n^2 + 65072/2078505*n^3 + 526912/43648605*n^4 - 658160/10567557*n^5 + 14198752/334639305*n^6 - 1812592/295269975*n^7 - 97587328/145568097675*n^8 - 267846032/1504203675975*n^9 - 2119456/31853724903*n^10 - 45372848/1504203675975*n^11 - 2592068672/166966608033225*n^12 - 4380850576/500899824099675*n^13 - 5700161696/1080889094109825*n^14 - 39480194224/11774485198503027*n^15 - 12840471296/5771806469854425*n^16 - 196425584176/128498638776232725*n^17 - 108093549856/99943385714847675*n^18 - 11590396112/14774239627412265*n^19 - 273127762240/469820820151710027*n^20 - 343667608688/783034700252850045*n^21 - 518367866144/1539068203945256985*n^22 - 153626698640/585838864727549433*n^23 - 38138000512/184397165884316385*n^24) * eps^5
-        + (10/9009 - 1472/459459*n + 106112/43648605*n^2 - 204352/14549535*n^3 + 4359424/143416845*n^4 + 29558336/5019589575*n^5 - 4479616/79676025*n^6 + 282120896/6931814175*n^7 - 3037689344/501401225325*n^8 - 159800512/237505843575*n^9 - 128742272/712517530725*n^10 - 34081066304/500899824099675*n^11 - 739998464/23852372576175*n^12 - 329429443264/20536892788086675*n^13 - 1144477661056/126155198555389575*n^14 - 1615718080576/294362129962575675*n^15 - 145301040063488/41505060324723170175*n^16 - 39812087684416/17090318957238952425*n^17 - 8181314153344/5097112671457231425*n^18 - 307611729639616/270146971587233265525*n^19 - 9726206064896/11745520503792750675*n^20 - 1307488226368/2125379900686307265*n^21 - 1226010709111168/2633345696950334701335*n^22 - 1983732571347776/5539106465998979889015*n^23) * eps^6
-        + (349/2297295 + 28144/43648605*n - 32288/8729721*n^2 + 375344/111546435*n^3 - 12041408/1003917915*n^4 + 432232496/15058768725*n^5 + 310326496/145568097675*n^6 - 99405970096/1933976154825*n^7 + 17050659712/436704293025*n^8 - 1790101232/300840735195*n^9 - 4867489888/7259417740575*n^10 - 30362471408/166966608033225*n^11 - 472100207296/6845630929362225*n^12 - 1213812473968/38395060429901175*n^13 - 2070794882336/126155198555389575*n^14 - 128880963219824/13835020108241056725*n^15 - 5213913887488/922334673882737115*n^16 - 350085462103024/96845140757687397075*n^17 - 100618233981856/41730020001279935325*n^18 - 1349417396371216/810440914761699796575*n^19 - 18226976199582272/15398377380472296134925*n^20 - 324481362977936/376192242421476385905*n^21 - 309392942008518752/481902262541911250344305*n^22) * eps^7
-        + (632/1322685 - 44288/43648605*n + 52736/47805615*n^2 - 2034944/557732175*n^3 + 3396608/885809925*n^4 - 4651476224/436704293025*n^5 + 376863232/13970931975*n^6 - 521047808/1933976154825*n^7 - 33839405056/712517530725*n^8 + 71989123328/1919156414175*n^9 - 2920335016448/500899824099675*n^10 - 167196416/251311112325*n^11 - 332813237248/1828336210947675*n^12 - 189963362048/2734013590983675*n^13 - 189790575759872/5929294332103310025*n^14 - 1615852457389312/96845140757687397075*n^15 - 2759847897165824/290535422273062191225*n^16 - 89000869775895808/15398377380472296134925*n^17 - 6338477357045248/1710930820052477348325*n^18 - 38129485424793344/15398377380472296134925*n^19 - 53670222315578368/31327733291305705929675*n^20 - 189395928218833664/155234622387450402771975*n^21) * eps^8
-        + (43/479655 + 122576/334639305*n - 2304352/1673196525*n^2 + 2336816/1673196525*n^3 - 12805184/3669783975*n^4 + 54763949168/13537833083775*n^5 - 122726048/12640367025*n^6 + 114617716208/4512611027925*n^7 - 34612052864/18551845337025*n^8 - 2463842008976/55655536011075*n^9 + 247179941367712/6845630929362225*n^10 - 2994094055984/524709679077675*n^11 - 64595765995328/98120709987525225*n^12 - 3099595834864/17073245711527425*n^13 - 20252388370301728/290535422273062191225*n^14 - 94673925881072/2934701235081436275*n^15 - 4125115670603008/244418688578925335475*n^16 - 49466563811083856/5132792460157432044975*n^17 - 1436846393866144/244418688578925335475*n^18 - 381175372440689776/100944918383096163551175*n^19 - 6673125752239886656/2638988580586656847123575*n^20) * eps^9
-        + (1270/5148297 - 34624/77224455*n + 8999296/15058768725*n^2 - 219421376/145568097675*n^3 + 245188352/155607276825*n^4 - 8995427648/2707566616755*n^5 + 62537856/15193976525*n^6 - 300772218944/33393321606645*n^7 + 12025681693184/500899824099675*n^8 - 6752231485504/2281876976454075*n^9 - 7341173985537152/176617277977545405*n^10 + 2796003983106368/80280580898884275*n^11 - 5941399696481024/1064232316018542825*n^12 - 692086460430784/1064232316018542825*n^13 - 1345434958946432/7449626212129799775*n^14 - 71571032546168768/1026558492031486408995*n^15 - 45358930642410496/1399852489133845103175*n^16 - 261920528055495616/15398377380472296134925*n^17 - 97300359399296/9989601027520649535*n^18 - 330035192316442762432/55418760192319793789595075*n^19) * eps^10
-        + (15881/295269975 + 3275312/15058768725*n - 290237344/436704293025*n^2 + 3374142608/4512611027925*n^3 - 2324047552/1504203675975*n^4 + 22749713104/13537833083775*n^5 - 9287415008/2929238737425*n^6 + 2059124453296/500899824099675*n^7 - 1828414788736/216177818821965*n^8 + 2236007478391408/98120709987525225*n^9 - 3289422168026144/883086389887727025*n^10 - 1559442395410064/39717761076290115*n^11 + 93137685335849536/2767004021648211345*n^12 - 36715264470352/6721467259064481*n^13 - 395250439858913504/615935095218891845397*n^14 - 920542128392325776/5132792460157432044975*n^15 - 1071330999526287616/15398377380472296134925*n^16 - 69392630410138352/2137657095171448169319*n^17 - 105265368113339870944/6157640021368865976621675*n^18) * eps^11
-        + (2228/15540525 - 6120832/25688487825*n + 691211008/1933976154825*n^2 - 3492371072/4512611027925*n^3 + 208152064/246142419705*n^4 - 773080659584/500899824099675*n^5 + 290139660544/166966608033225*n^6 - 3669101648768/1208052516946275*n^7 + 3589606756281344/883086389887727025*n^8 - 181420012122752/22643240766351975*n^9 + 411019605061888/18926156098824975*n^10 - 37593628401801344/8804103705244308825*n^11 - 48134971208650240/1291268543435831961*n^12 + 857893200414386816/26322012616191959205*n^13 - 9146937940412344064/1710930820052477348325*n^14 - 3175025851183744/5017392434171487825*n^15 - 102210624046413824/574639004078346282075*n^16 - 75317795379180637568/1086642356712152819403825*n^17) * eps^12
-        + (733/21460725 + 5764688/41912795925*n - 3194656/8562829275*n^2 + 185012432/410237366175*n^3 - 2374742464/2862284709141*n^4 + 65055690512/71557117728525*n^5 - 10435905969184/6845630929362225*n^6 + 74203317689008/42051732851796525*n^7 - 83189743940224/28486657738313775*n^8 + 970218654799696/242719651021772925*n^9 - 12979601134119328/1699037557152410475*n^10 + 182872846566647344/8804103705244308825*n^11 - 106352279311029184/22812410934033031311*n^12 - 311872072090752592/8774004205397319735*n^13 + 702432581536430432/22219880779902303225*n^14 - 3453730558896213488/659770708386249434975*n^15 - 677845730256054991616/1086642356712152819403825*n^16) * eps^13
-        + (238/2629575 - 851648/5987542275*n + 458368/1995847425*n^2 - 4444753088/9821565178425*n^3 + 257876621056/500899824099675*n^4 - 926189860672/1080889094109825*n^5 + 16440112590464/17315419409563275*n^6 - 62997095167168/42051732851796525*n^7 + 14708637300203008/8301012064944634035*n^8 - 12992021530058176/4611673369413685575*n^9 + 126514656768577664/32281713585895799025*n^10 - 934589810873408/127665525684801195*n^11 + 2273402066071352576/114062054670165156555*n^12 - 8678130264714688/1754800841079463947*n^13 - 60752587029024640/1785845526459021027*n^14 + 1236016674552098630336/40246013211561215533475*n^15) * eps^14
-        + (1349/59007663 + 569168/6195804615*n - 6094472992/26363148636825*n^2 + 2579500208/8787716212275*n^3 - 10278771378368/20536892788086675*n^4 + 5804486242864/10389251645737965*n^5 - 986666922848/1136533320318825*n^6 + 1154950393173904/1185858866420662005*n^7 - 25102872528546944/17090318957238952425*n^8 + 171093766520283664/96845140757687397075*n^9 - 90252717369684512/33114790065531819645*n^10 + 856168540797233296/223164889572062262825*n^11 - 523921065908336192/74388296524020754275*n^12 + 148934374703642746192/7764993721776627965475*n^13 - 4530223920051850971488/879662860195552282374525*n^14) * eps^15
-        + (1072/17651865 - 1621504/17634213135*n + 25527296/163746264825*n^2 - 103998194176/360296364703275*n^3 + 5248424757248/15492743682240825*n^4 - 467691403586048/883086389887727025*n^5 + 301694693856256/512408152157076175*n^6 - 252813007696723456/290535422273062191225*n^7 + 286904030108225536/290535422273062191225*n^8 - 351698678463165952/244418688578925335475*n^9 + 37866741710291968/21596602216651186725*n^10 - 3343357802501632/1264961585514852225*n^11 + 87427882477068703744/23294981165329883896425*n^12 - 179996219456280053248/26478146293511607161775*n^13) * eps^16
-        + (4105/256743333 + 839312/13080031965*n - 27420423136/178581676418145*n^2 + 69811484144/345901445314425*n^3 - 96146193098048/294362129962575675*n^4 + 15405921597572848/41505060324723170175*n^5 - 2522567523013984/4611673369413685575*n^6 + 58989773513135888/96845140757687397075*n^7 - 13345966126725050752/15398377380472296134925*n^8 + 1699738669400076688/1710930820052477348325*n^9 - 21702598557454157792/15398377380472296134925*n^10 + 1576193121961143720976/908504265447865471960575*n^11 - 2497177697166830532544/972258950742452522624475*n^12) * eps^17
-        + (2554/59814755 - 14367296/228073660815*n + 1013644928/9174446936655*n^2 - 167156355008/853223565108915*n^3 + 84963738158848/360913568041071045*n^4 - 14611840804674368/41505060324723170175*n^5 + 1819399468775296/4611673369413685575*n^6 - 2858231484366780352/5132792460157432044975*n^7 + 837914285761024/1346129677460643075*n^8 - 7953299207910592/9248274702986364045*n^9 + 301043012700456113536/302834755149288490653525*n^10 - 8502565529331757967296/6157640021368865976621675*n^11) * eps^18
-        + (23263/2006513145 + 44125168/949080717585*n - 1895498144/17652901347081*n^2 + 5803380481936/40101507560119005*n^3 - 19655652872896/87117068147844735*n^4 + 3287964577171024/12631974881437486575*n^5 - 46210682062489376/125190060003839805975*n^6 + 372537686814738512/905786904733664478525*n^7 - 8650226115503323264/15398377380472296134925*n^8 + 101222691712671952/160484766904763376075*n^9 - 47176442350469959824736/55418760192319793789595075*n^10) * eps^19
-        + (10540/338353197 - 3712/82302129*n + 14840576/183064816935*n^2 - 2144136832/15388989250635*n^3 + 5316349300224/31190061435648115*n^4 - 6607647772488064/26779786748647471539*n^5 + 66555255361792/238679026280280495*n^6 - 44052878135978368/115777273537385685225*n^7 + 384486668476460567552/908504265447865471960575*n^8 - 3468834561318140695424/6157640021368865976621675*n^9) * eps^20
-        + (27329/3154914945 + 13289392/382771889955*n - 1286021216/16459191268065*n^2 + 770506950736/7181693789965695*n^3 - 1152005167333952/7079713738148182131*n^4 + 195075922055654512/1026558492031486408995*n^5 - 8145969897756512/31107833091863224515*n^6 + 12664143027275104208/43262107878469784379075*n^7 - 651402398229792722048/1679356369464236175442275*n^8) * eps^21
-        + (1562/66703105 - 127424/3811384395*n + 2102950784/34362171243855*n^2 - 37430848576/364239015184863*n^3 + 696434041088/5463585227772945*n^4 - 6373599267875264/35398568690740910655*n^5 + 545772421678208/2661698573054612091*n^6 - 8466792971121000512/31046924477490080554395*n^7) * eps^22
-        + (3401/512475075 + 28492208/1071585381825*n - 5331168/90848077775*n^2 + 8186753917904/100165729175837325*n^3 - 99012798127808/815635223288961075*n^4 + 1929159053254544/13474293888733636959*n^5 - 5854490607967819616/30333202075708699392225*n^6) * eps^23
-        + (3656/202606425 - 35305216/1385220127725*n + 29556996608/624734277603975*n^2 - 4014261183232/51436455522727275*n^3 + 32964315529286656/336857347218340923975*n^4 - 29338515257596672/216297875582303119605*n^5) * eps^24
-        + (100381/19328652945 + 22113584/1063075911975*n - 39278656544/868533020083575*n^2 + 44603405612432/700327125194055975*n^3 - 9121454090180288/98004601813921127325*n^4) * eps^25
-        + (4654/327806325 - 17462848/878193144675*n + 276219008/7401913647975*n^2 - 2750176959296/45302178830156325*n^3) * eps^26
-        + (45767/11058446025 + 176617072/10656655819425*n - 1087907102432/30552632234291475*n^2) * eps^27
-        + (29092/2558620845 - 125915776/7959869448795*n) * eps^28
-        + 917561/273868982145 * eps^29;
-C4[2] = + (4/525 - 32/1575*n + 64/3465*n^2 - 32/5005*n^3 + 128/225225*n^4 + 32/765765*n^5 + 64/8083075*n^6 + 32/14549535*n^7 + 256/334639305*n^8 + 288/929553625*n^9 + 64/456326325*n^10 + 352/5089793625*n^11 + 128/3506302275*n^12 + 416/20419054425*n^13 + 64/5373435375*n^14 + 32/4418157975*n^15 + 512/112374887625*n^16 + 544/184294815705*n^17 + 576/293506558345*n^18 + 608/455441211225*n^19 + 128/138101528565*n^20 + 32/48823772725*n^21 + 704/1494007445385*n^22 + 736/2140064719065*n^23 + 256/1006013329475*n^24 + 32/167832467649*n^25 + 832/5757043948425*n^26 + 864/7803992907865*n^27) * eps^2
-        - (8/1575 - 128/5775*n + 256/6825*n^2 - 6784/225225*n^3 + 4608/425425*n^4 - 128/124355*n^5 - 5888/72747675*n^6 - 9088/557732175*n^7 - 1024/214512375*n^8 - 3968/2281631625*n^9 - 35584/48522699225*n^10 - 235136/683728943625*n^11 - 303616/1735619626125*n^12 - 1664/17531511375*n^13 - 22784/419725007625*n^14 - 16768/516924483075*n^15 - 710656/35323173010125*n^16 - 850816/66038975627625*n^17 - 25856/3047952721275*n^18 - 1184384/206922123633225*n^19 - 512/129731738955*n^20 - 17536/6320800730475*n^21 - 87296/43990219225225*n^22 - 697728/483892411477475*n^23 - 216064/203306148311175*n^24 - 107392/135328913080977*n^25 - 3018496/5033575425572925*n^26) * eps^3
-        - (8/1925 - 1856/225225*n - 128/17325*n^2 + 42176/1276275*n^3 - 2434816/72747675*n^4 + 195136/14549535*n^5 - 761984/557732175*n^6 - 947392/8365982625*n^7 - 199168/8365982625*n^8 - 250816/34659070875*n^9 - 12285568/4512611027925*n^10 - 2049728/1735619626125*n^11 - 854272/1504203675975*n^12 - 3794752/12843585233325*n^13 - 136569728/834833040166125*n^14 - 983872/10325235187575*n^15 - 263816192/4556689318306125*n^16 - 166125632/4556689318306125*n^17 - 73477504/3103831854498375*n^18 - 68603072/4345364596297725*n^19 - 159244544/14774239627412265*n^20 - 338106304/45001994267405175*n^21 - 3319168/622147386185325*n^22 - 318736576/82745602362648225*n^23 - 353437184/125179244599903725*n^24 - 675465152/321947484219644283*n^25) * eps^4
-        + (8/10725 - 128/17325*n + 64256/3828825*n^2 - 128/25935*n^3 - 266752/10392525*n^4 + 11222912/334639305*n^5 - 8292608/557732175*n^6 + 4484992/2788660875*n^7 + 340992/2450641375*n^8 + 11977088/395843072625*n^9 + 2246912/237505843575*n^10 + 82282624/22563055139625*n^11 + 4942336/3057996484125*n^12 + 661387648/834833040166125*n^13 + 5904128/14079866164875*n^14 + 23140740736/98120709987525225*n^15 + 12064565248/86577097047816375*n^16 + 18372231296/214164397960387875*n^17 + 27322100992/499716928574238375*n^18 + 241091456/6715563467005575*n^19 + 1114236416/46060864720755885*n^20 + 21761259136/1305057833754750075*n^21 + 859481344/73288962092631285*n^22 + 40995250048/4881990539396245275*n^23 + 606575260672/99267140967723653925*n^24) * eps^5
-        - (4/25025 + 928/3828825*n + 292288/72747675*n^2 - 106528/6613425*n^3 + 6139264/557732175*n^4 + 10832608/557732175*n^5 - 162679232/5019589575*n^6 + 85724192/5472484875*n^7 - 3655690496/2051186830875*n^8 - 3604983136/22563055139625*n^9 - 7007552/196200479475*n^10 - 9537699488/834833040166125*n^11 - 13154432/2929238737425*n^12 - 200866912/99212042454525*n^13 - 6420816704/6371474674514625*n^14 - 17688656864/32706903329175075*n^15 - 21307711227392/69175100541205283625*n^16 - 5244426197152/28483864928731587375*n^17 - 417090283072/3640794765326593875*n^18 - 362186962528/4911763119767877555*n^19 - 573931129472/11745520503792750675*n^20 - 1058701197088/31880698510294608975*n^21 - 33756633788608/1462969831639074834075*n^22 - 50313491799008/3077281369999433271675*n^23) * eps^6
-        + (464/1276275 - 17152/10392525*n + 83456/72747675*n^2 - 181504/79676025*n^3 + 115303424/8365982625*n^4 - 4580096/334639305*n^5 - 508046848/34659070875*n^6 + 2213207296/71628746475*n^7 - 17261467648/1074431197125*n^8 + 4782020864/2507006126625*n^9 + 1014518272/5757469242525*n^10 + 33657011968/834833040166125*n^11 + 149965386752/11409384882270375*n^12 + 1104106298624/210258664258982625*n^13 + 16287375872/6782537556741375*n^14 + 18546580736/15321173984763075*n^15 + 45457260285952/69175100541205283625*n^16 + 5907631030528/15620183993175386625*n^17 + 130174950780416/570310273350825782775*n^18 + 247185478912/1725076446917198375*n^19 + 4546015751168/48883737715785067095*n^20 + 194686818012928/3134935353512303215875*n^21 + 541960491316736/12748737104283366411225*n^22) * eps^7
-        + (1168/72747675 + 128/1865325*n - 12032/7436429*n^2 + 5669504/2788660875*n^3 - 42320384/25097947875*n^4 + 1690753408/145568097675*n^5 - 3812261632/259345461375*n^6 - 1083259264/97675563375*n^7 + 220583066624/7521018379875*n^8 - 1505036615552/92759226685125*n^9 + 1611235072/806601971175*n^10 + 6334750336/33458606692875*n^11 + 1667637018112/37738734610586625*n^12 + 937077639296/63991767383168625*n^13 + 4509356511488/760165940013244875*n^14 + 294484214656/107248217893341525*n^15 + 32262664812544/23058366847068427875*n^16 + 729031420097152/950517122251376304625*n^17 + 25918478235392/58194925852125079875*n^18 + 2318317188006784/8554654100262386741625*n^19 + 558196229800448/3256287689777295598425*n^20 + 492800344582544512/4398314300977761411872625*n^21) * eps^8
-        + (208/1119195 - 192256/334639305*n + 34304/91933875*n^2 - 164096/121246125*n^3 + 1760402432/727840488375*n^4 - 7092326144/4512611027925*n^5 + 223317267968/22563055139625*n^6 - 17696559872/1187529217875*n^7 - 7016842532864/834833040166125*n^8 + 860408727296/30919742228375*n^9 - 22226861374976/1369126185872445*n^10 + 21222698179328/10292382166523625*n^11 + 88454767616/442649819492595*n^12 + 50501718260992/1064232316018542825*n^13 + 7723646961783296/484225703788436985375*n^14 + 314323524352/48062104594385805*n^15 + 2532668227735552/827869751638295491125*n^16 + 40384078766338816/25663962300787160224875*n^17 + 19229411505664/22105049354683169875*n^18 + 770798397212533504/1514173775746442453267625*n^19 + 250556302305381376/803170437569852083907175*n^20) * eps^9
-        + (236/9561123 + 50272/557732175*n - 180416/253514625*n^2 + 4019104/6220858875*n^3 - 25917758848/22563055139625*n^4 + 494758496/196200479475*n^5 - 12204703424/7521018379875*n^6 + 4056672544/472457860875*n^7 - 22131315968/1504203675975*n^8 - 314109390176/49391276546625*n^9 + 288234585666624/10902301109725025*n^10 - 31315082826784/1939144466156625*n^11 + 111197020252288/52765141526472375*n^12 + 14390751017248/69105994546658625*n^13 + 24312743742913856/484225703788436985375*n^14 + 622105174713376/36402783405371858475*n^15 + 60584296191732224/8554654100262386741625*n^16 + 4228371181856/1264546060644846525*n^17 + 12685404296720576/7314849158195374170375*n^18 + 29737849987907314208/30788200106844329883108375*n^19) * eps^10
-        + (3464/32807775 - 1302656/5019589575*n + 153380608/727840488375*n^2 - 45513088/64282208375*n^3 + 18741801472/22563055139625*n^4 - 925614464/902522205585*n^5 + 692308704512/278277680055375*n^6 - 1431548425856/834833040166125*n^7 + 37095814581248/4889736378115875*n^8 - 57202079464576/3988646747460375*n^9 - 156331212808448/32706903329175075*n^10 + 2294120744984192/91139789909361375*n^11 - 22462403210597888/1403552764604165175*n^12 + 1062101785588352/496641747475319985*n^13 + 1839082934090104576/8554654100262386741625*n^14 + 89891107232678272/1710930820052477348325*n^15 + 513933681977344/28420777741735504125*n^16 + 74871039262438528/9896560625793741524625*n^17 + 36964023452909851904/10262733368948109961036125*n^18) * eps^11
-        + (296/15540525 + 1728/24395525*n - 49758848/136745788725*n^2 + 427124032/1327238537625*n^3 - 5044327168/7521018379875*n^4 + 298545088/318031634349*n^5 - 801131699072/834833040166125*n^6 + 6305965926464/2632934972831625*n^7 - 378931864297984/210258664258982625*n^8 + 911863359318208/133800968164807125*n^9 - 192205122085248128/13835020108241056725*n^10 - 6780515998533184/1913935588096588875*n^11 + 38905530524711168/1619483959158652125*n^12 - 946513267068414656/59822755945890816375*n^13 + 83570609810086528/38708842082635234125*n^14 + 1131108186078795712/5132792460157432044975*n^15 + 131223039038073856/2407271503571450641125*n^16 + 9360216457260964928/493928343960069463365375*n^17) * eps^12
-        + (56/858429 - 55168/399169485*n + 5211904/37921101075*n^2 - 3002446208/7521018379875*n^3 + 48699457024/119261862880875*n^4 - 919739008/1451883548115*n^5 + 365596999424/368044673621625*n^6 - 10263813181312/11066245487314875*n^7 + 3358672820415488/1471810649812878375*n^8 - 43146790366966912/23058366847068427875*n^9 + 200474306313855232/32281713585895799025*n^10 - 1223232504628096/91139789909361375*n^11 - 5571695531272704/2175096389591250125*n^12 + 117245774985483904/5101165235696116125*n^13 - 6362058788044060928/407364480964875559125*n^14 + 1432428366354690688/659770708386249434975*n^15 + 406876011841654183936/1811070594520254699006375*n^16) * eps^13
-        + (6748/491730525 + 2464/47453715*n - 35434816/169647031125*n^2 + 2367228064/12099029567625*n^3 - 338914889344/834833040166125*n^4 + 643139268064/1369126185872445*n^5 - 42372035912768/70086221419660875*n^6 + 528871923808/521733658210875*n^7 - 9028483998408448/9882157220172183375*n^8 + 375698992716832/173371179301266375*n^9 - 3261967803906496/1699037557152410475*n^10 + 4454132788010992864/777695827296580612875*n^11 - 324957881336448/25082916539157575*n^12 - 51719952215776/29149515632549235*n^13 + 40751993548714355392/1848808028994435229875*n^14 - 1505262899486918255456/97740317799505809152725*n^15) * eps^14
-        + (63392/1475191575 - 40448/491730525*n + 22100992/232479264875*n^2 - 10707459584/43938581061375*n^3 + 395889698816/1629912126038625*n^4 - 1272720851456/3165184193145975*n^5 + 57785079583744/113216203831759875*n^6 - 5771910533522944/9882157220172183375*n^7 + 400461014478848/395286288806887335*n^8 - 8980497036868096/9882157220172183375*n^9 + 861739038708736/418695852855651525*n^10 - 7151522689996655104/3666280328683880032125*n^11 + 136923421975731791872/25663962300787160224875*n^12 - 21113609897148018176/1688042113429701731625*n^13 - 121850848500674573312/107275958560433205167625*n^14) * eps^15
-        + (216352/21800053275 + 276003584/7259417740575*n - 364665344/2792083746375*n^2 + 45336414464/345738935826375*n^3 - 54656669920256/210258664258982625*n^4 + 2651168079104/9495552579437925*n^5 - 9112145249388032/23058366847068427875*n^6 + 259248276999003392/484225703788436985375*n^7 - 25094568739469312/44020518526221544125*n^8 + 2852336745721263872/2851551366754128913875*n^9 - 215254033283584/237135248794522155*n^10 + 16753729491723017984/8554654100262386741625*n^11 - 39706593780549643264/20188983676619232710235*n^12 + 2373769153328288102144/473664617028374305893975*n^13) * eps^16
-        + (1248/41951525 - 14245376/268867323725*n + 10222592/149641089675*n^2 - 1801381376/11340026117875*n^3 + 236349194786816/1471810649812878375*n^4 - 3691013040948736/13835020108241056725*n^5 + 371324256164864/1213598255108864625*n^6 - 2021022934670848/5206727997725128875*n^7 + 427036746482839552/777695827296580612875*n^8 - 1598379187657077248/2851551366754128913875*n^9 + 1279883225050112/1305057833754750075*n^10 - 35243011544058408448/38824968608883139827375*n^11 + 57528704095634149967872/30788200106844329883108375*n^12) * eps^17
-        + (2188/299073775 + 118112/4177173275*n - 1651234880/18960523669087*n^2 + 396968969632/4266117825544575*n^3 - 527133283672192/3007613067008925375*n^4 + 712898585518304/3873805630307495883*n^5 - 102467165232448/380980097394521625*n^6 + 1667960274927658784/5132792460157432044975*n^7 - 9803797102758335744/25663962300787160224875*n^8 + 1582433972899100512/2851551366754128913875*n^9 - 167731799286812796352/302834755149288490653525*n^10 + 2057307675985255174816/2148013960942627666263375*n^11) * eps^18
-        + (4776/222945905 - 545152/15064773295*n + 75166464/1485934456825*n^2 - 2430966148992/22278615311177225*n^3 + 25097198606848/221613594411183975*n^4 - 777828977914496/4210658293812495525*n^5 + 346053142459467008/1710930820052477348325*n^6 - 2300283426585485696/8554654100262386741625*n^7 + 2890306701807143936/8554654100262386741625*n^8 - 63408372990350273152/168241530638493605918625*n^9 + 379976274656827151616/684182224596540664069075*n^10) * eps^19
-        + (729128/132296100027 + 1037632/48401012205*n - 312986836352/5129781278546925*n^2 + 8491740695488/123684726382742525*n^3 - 569171041087744/4611673369413685575*n^4 + 14781690121669568/114062054670165156555*n^5 - 325240456165524608/1710930820052477348325*n^6 + 264121805570445376/1222093442894626677375*n^7 - 15019589271866087936/56080510212831201972875*n^8 + 322915232383134423488/932975760813464541912375*n^9) * eps^20
-        + (50248/3154914945 - 4224/163387745*n + 351214336/9143995148925*n^2 - 13428756608/171810856219275*n^3 + 149145346743808/1787806499532369225*n^4 - 15142621991500672/114062054670165156555*n^5 + 3607505909629184/25284691921957793325*n^6 - 1346982356013579136/6977759335237061996625*n^7 + 426802317284889955328/1884991843276183462231125*n^8) * eps^21
-        + (402908/95051924625 + 61416608/3707025060375*n - 1594343872/35872596353475*n^2 + 176968781792/3392422200251175*n^3 - 11134005164416/123581094437721375*n^4 + 5634047312627936/58997614484568184425*n^5 - 23365464365584673216/168241530638493605918625*n^6 + 7084481509357518688/46298045273450120124975*n^7) * eps^22
-        + (10384/854125125 - 34177792/1785975636375*n + 36665846272/1230537213462375*n^2 - 878996127488/15176625632702625*n^3 + 54887110257664/865067661064049625*n^4 - 850509595404544/8637367877393357025*n^5 + 909150023994065408/8631398964632556737625*n^6) * eps^23
-        + (10096/3039096375 + 90261376/6926100638625*n - 104352359168/3123671388019875*n^2 + 31307137302656/771546832840909125*n^3 - 38042941521183232/561428912030568206625*n^4 + 498270120528775552/6849432726772932120825*n^5) * eps^24
-        + (509392/53690702625 - 8609536/590597728875*n + 1032951296/43865304044625*n^2 - 971880602368/22022865572140125*n^3 + 391353414474752/7911102710525447125*n^4) * eps^25
-        + (2894476/1093234093875 + 3389629984/325419348610125*n - 164895679936/6399913855999125*n^2 + 1620742521773024/50360922132857114625*n^3) * eps^26
-        + (139048/18430743375 - 86549632/7611897013875*n + 412763643136/21823308738779625*n^2) * eps^27
-        + (4247096/1982931154875 + 5788830656/685433202535125*n) * eps^28
-        + 185528/30429886905 * eps^29;
-C4[3] = + (8/2205 - 256/24255*n + 512/45045*n^2 - 256/45045*n^3 + 1024/765765*n^4 - 256/2909907*n^5 - 512/101846745*n^6 - 256/334639305*n^7 - 2048/11712375675*n^8 - 256/5019589575*n^9 - 512/29113619535*n^10 - 2816/410237366175*n^11 - 1024/347123925225*n^12 - 3328/2429867476575*n^13 - 512/755505013725*n^14 - 256/723694276305*n^15 - 4096/21193903806075*n^16 - 4352/39623385376575*n^17 - 512/7924677075315*n^18 - 4864/124153274179935*n^19 - 1024/41955244378047*n^20 - 256/16434081899235*n^21 - 5632/554276762237835*n^22 - 5888/871006340659455*n^23 - 2048/447273526284585*n^24 - 1280/405986739242931*n^25 - 6656/3020145255343755*n^26) * eps^3
-        - (16/8085 - 1024/105105*n + 2048/105105*n^2 - 1024/51051*n^3 + 4096/373065*n^4 - 1024/357357*n^5 + 161792/780825045*n^6 + 1024/79676025*n^7 + 8192/3904125225*n^8 + 13312/26127607275*n^9 + 2048/13080031965*n^10 + 84992/1504203675975*n^11 + 241664/10529425731825*n^12 + 13312/1302972414975*n^13 + 2048/418462676775*n^14 + 467968/187919280413865*n^15 + 2834432/2126455015209525*n^16 + 17408/23367637529775*n^17 + 268288/620766370899675*n^18 + 175104/675945603868535*n^19 + 1101824/6894645159459057*n^20 + 130048/1285771264783005*n^21 + 2048/31266894280083*n^22 + 1672192/38614614435902505*n^23 + 499712/17129791366302615*n^24 + 2145280/107315828073214761*n^25) * eps^4
-        - (136/63063 - 256/45045*n + 512/1072071*n^2 + 494336/33948915*n^3 - 44032/1996995*n^4 + 204032/14196819*n^5 - 42496/10140585*n^6 + 1651456/5019589575*n^7 + 3172352/145568097675*n^8 + 39570176/10529425731825*n^9 + 6040064/6317655439095*n^10 + 9663232/31588277195475*n^11 + 44557312/389588752077525*n^12 + 156928/3273855059475*n^13 + 50066944/2281876976454075*n^14 + 211489024/19624141997505045*n^15 + 61804544/11018903260631175*n^16 + 83527936/27257287013140275*n^17 + 1220781568/699603700003933725*n^18 + 319501568/310259032175657565*n^19 + 294585344/469820820151710027*n^20 + 6025472/15353621573585295*n^21 + 6149632/24429654030877095*n^22 + 1419008/8597216044219803*n^23 + 15341295616/138973997354813115495*n^24) * eps^5
-        + (64/315315 - 16384/5360355*n + 966656/101846745*n^2 - 868352/101846745*n^3 - 3506176/468495027*n^4 + 966656/46293975*n^5 - 2736128/168120225*n^6 + 254590976/48522699225*n^7 - 930414592/2105885146365*n^8 - 975978496/31588277195475*n^9 - 175947776/31588277195475*n^10 - 1719713792/1168766256232575*n^11 - 189497344/389588752077525*n^12 - 471973888/2522074552922925*n^13 - 23683022848/294362129962575675*n^14 - 2875506688/76316107768075175*n^15 - 166335741952/8804103705244308825*n^16 - 7264288768/725043834549531315*n^17 - 8638251008/1551295160878287825*n^18 - 43198234624/13411551780926474175*n^19 - 5872648192/3045134945427750175*n^20 - 10622910464/8926595582882490513*n^21 - 4633606045696/6144473292884114303115*n^22 - 6324103528448/12924581753997619741035*n^23) * eps^6
-        - (16/97461 + 14848/101846745*n + 74752/101846745*n^2 - 1180160/156165009*n^3 + 1804288/156165009*n^4 + 21661184/11712375675*n^5 - 6329863168/339658894575*n^6 + 77686373888/4512611027925*n^7 - 191476584448/31588277195475*n^8 + 1902050816/3509808577275*n^9 + 602135552/15178782548475*n^10 + 1734961664/233753251246515*n^11 + 32315783168/15973138835178525*n^12 + 4767689216/6937827978915925*n^13 + 354268160/1308276133167003*n^14 + 3839243089408/32281713585895799025*n^15 + 5498545266688/96845140757687397075*n^16 + 19638642446848/677915985303811779525*n^17 + 62312623694848/3992171913455780479425*n^18 + 16645612231168/1891028801110632858675*n^19 + 185414359607296/35929547221102024314825*n^20 + 2746091096576/877781898983444900445*n^21 + 146389811987456/74962574173186194498003*n^22) * eps^7
-        + (5024/33948915 - 96256/101846745*n + 2363392/2342475135*n^2 - 223232/3904125225*n^3 + 179101696/35137127025*n^4 - 12169295872/1018976683725*n^5 + 21649608704/10529425731825*n^6 + 73147930624/4512611027925*n^7 - 110974713856/6317655439095*n^8 + 45664495616/6834890387325*n^9 - 38688231424/61514013485925*n^10 - 6727825408/140526148110075*n^11 - 204859727872/22156289352021825*n^12 - 5333835708416/2060534909738029725*n^13 - 12449383788544/13835020108241056725*n^14 - 11682410842112/32281713585895799025*n^15 - 15675688321024/96845140757687397075*n^16 - 564491569272832/7185909444220404862965*n^17 - 162424807264256/3992171913455780479425*n^18 - 25758343960576/1159017652293613687575*n^19 - 867930864951296/68382041485323207566925*n^20 - 986317559527424/131013617475933318651525*n^21) * eps^8
-        - (1744/101846745 + 512/15935205*n + 2819072/3904125225*n^2 - 574976/354920475*n^3 + 293840896/1018976683725*n^4 - 104608193024/31588277195475*n^5 + 50770254848/4512611027925*n^6 - 2319237632/501401225325*n^7 - 70544060416/5059594182825*n^8 + 152043321856/8657527823945*n^9 - 12686255881216/1774793203908725*n^10 + 1910603827712/2714802252619275*n^11 + 4965264541696/89588474336436075*n^12 + 11708566053376/1064232316018542825*n^13 + 27753253723136/8804103705244308825*n^14 + 8328847653376/7449626212129799775*n^15 + 12046676107264/26322012616191959205*n^16 + 118607935682048/570310273350825782775*n^17 + 136251371367424/1330723971151926826475*n^18 + 3451317953686016/64237675334697558623475*n^19 + 60965191496247296/2052546673789621992207225*n^20) * eps^9
-        + (13760/156165009 - 868352/2342475135*n + 2834432/11712375675*n^2 - 7192576/16174233075*n^3 + 7776468992/4512611027925*n^4 - 4603068416/6317655439095*n^5 + 23153426432/10529425731825*n^6 - 68229349376/6678664321329*n^7 + 7325440344064/1168766256232575*n^8 + 63577941262336/5324379611726175*n^9 - 44408364941312/2559670695326745*n^10 + 28661243789312/3822884804708775*n^11 - 24786086817923072/32281713585895799025*n^12 - 3817219702784/61277771427624675*n^13 - 1226804449460224/96845140757687397075*n^14 - 8872730492715008/2395303148073468287655*n^15 - 623934886248448/466617496377948367725*n^16 - 2853622228533248/5132792460157432044975*n^17 - 1724063864471552/6729661225539744236745*n^18 - 16517156456001093632/129310440448746185509055175*n^19) * eps^10
-        + (2824/688963275 + 169216/11712375675*n - 776704/1940907969*n^2 + 22551296/45581929575*n^3 - 485960704/1504203675975*n^4 + 304217344/191444104215*n^5 - 2695489024/2419805913525*n^6 + 8952644864/5757469242525*n^7 - 5695372408832/622330084487475*n^8 + 17565250440448/2409982350570795*n^9 + 22610939298304/2213249097462975*n^10 - 21402530278491392/1257729100749186975*n^11 + 1752626126402468864/225971995101270593175*n^12 - 14296223366555392/17382461161636199475*n^13 - 288001255055872/4203761228630165475*n^14 - 170463009837350144/11976515740367341438275*n^15 - 30452830506323968/7185909444220404862965*n^16 - 1203551903703808/774513440279510206275*n^17 - 1344666689909348864/2052546673789621992207225*n^18) * eps^11
-        + (848/15540525 - 1506304/8562829275*n + 494897152/4512611027925*n^2 - 1525812224/4512611027925*n^3 + 1189474304/1858133952675*n^4 - 74582428672/233753251246515*n^5 + 1436219392/1037059677225*n^6 - 9475007491072/6845630929362225*n^7 + 70856261853184/58872425992515135*n^8 - 16848457551905792/2060534909738029725*n^9 + 254950781338028032/32281713585895799025*n^10 + 19961192018277376/2282545405063339325*n^11 - 11266641625872879616/677915985303811779525*n^12 + 20501971947705344/2580589472175682275*n^13 - 70802116737542144/81472896192975111825*n^14 - 54344855357336576/733256065736776006425*n^15 - 19768531954614272/1259562261464658012225*n^16 - 104711917718588416/22047815933290057205295*n^17) * eps^12
-        + (2456/364832325 + 1801984/79168614525*n - 339889664/1504203675975*n^2 + 205509376/957220521075*n^3 - 109868782592/389588752077525*n^4 + 54139545344/77917750415505*n^5 - 312640051712/840691517640975*n^6 + 349164957867776/294362129962575675*n^7 - 58011733055488/37464271086145995*n^8 + 33115510536049408/32281713585895799025*n^9 - 215925931198897664/29474608056687468675*n^10 + 507489742441723648/61628725936710161775*n^11 + 9972967174487194624/1330723971151926826475*n^12 - 34133956918870784/2108170346834596275*n^13 + 1256638470211792384/155539165459316122575*n^14 - 1517965285997460736/1670483282935397505575*n^15 - 10235580119040855076864/129310440448746185509055175*n^16) * eps^13
-        + (17536/491730525 - 32768/342721275*n + 32768/479809785*n^2 - 87051763712/389588752077525*n^3 + 115073417216/389588752077525*n^4 - 809341124608/3194627767035705*n^5 + 476140039995392/686844969912676575*n^6 - 7648126664704/17315419409563275*n^7 + 2295366957006848/2252212575760172025*n^8 - 1505996592152576/922334673882737115*n^9 + 642554502878101504/677915985303811779525*n^10 - 937147600273702912/142014020636766894525*n^11 + 44138249302114304/5259778542102477575*n^12 + 31679339599003648/4926579901426302525*n^13 - 38784788290715746304/2462071180075516184175*n^14 + 910141441476937023488/111378501678506619732175*n^15) * eps^14
-        + (6752/1121145597 + 828416/39240095895*n - 22733400064/166966608033225*n^2 + 12663202816/106251477839325*n^3 - 9940302737408/47919416505535575*n^4 + 142477291621376/412106981947605945*n^5 - 511499016656896/2060534909738029725*n^6 + 1833727522382848/2767004021648211345*n^7 - 49222696013062144/96845140757687397075*n^8 + 1755522210632704/1976431444034436675*n^9 - 3980569541165627392/2395303148073468287655*n^10 + 3693492679339365376/3992171913455780479425*n^11 - 214983640335726014464/35929547221102024314825*n^12 + 152736093675883697152/18118318684145465252775*n^13 + 1030498930683129116672/186595152162692908382475*n^14) * eps^15
-        + (7104/290667377 - 5550080/96792236541*n + 116482048/2419805913525*n^2 - 37516668928/253541886272675*n^3 + 112198220398592/686844969912676575*n^4 - 12087336398848/62440451810243325*n^5 + 9147933925376/24661354916650725*n^6 - 24968440568492032/96845140757687397075*n^7 + 60100118709960704/96845140757687397075*n^8 - 12851567387414528/22812410934033031311*n^9 + 578870590466711552/733256065736776006425*n^10 - 94517652107104256/57121696694915777925*n^11 + 658362218889165488128/706614428681673144858225*n^12 - 2587762813002169044992/473664617028374305893975*n^13) * eps^16
-        + (63136/12979801835 + 6603776/376414253215*n - 115496960/1322827232727*n^2 + 887622656/11561294920175*n^3 - 43488723791872/294362129962575675*n^4 + 75193702847488/382787117619317775*n^5 - 3822735799883776/20542908645570053925*n^6 + 36656101850983424/96845140757687397075*n^7 - 1972951098707156992/7185909444220404862965*n^8 + 328771821253526528/570310273350825782775*n^9 - 3105328344576980992/5132792460157432044975*n^10 + 217025910651311236096/302834755149288490653525*n^11 - 70045496023034800943104/43103480149582061836351725*n^12) * eps^17
-        + (384/22037015 - 19693568/532171875235*n + 23750672384/663618328418045*n^2 - 906788864/8981300685357*n^3 + 2473671458816/24060904536071403*n^4 - 97688010118627328/677915985303811779525*n^5 + 458602279763968/2098811100011801175*n^6 - 3630274708209664/19665871494856061475*n^7 + 4490469276862251008/11976515740367341438275*n^8 - 1171359654445416448/3992171913455780479425*n^9 + 18008930028582633472/33648306127698721183725*n^10 - 1241396166426066944/1957914156238113188115*n^11) * eps^18
-        + (7256/1889173195 + 4900096/346489785785*n - 31059853824/526317984607415*n^2 + 38700561003264/717371413019906645*n^3 - 2876286797818880/27116639412152471181*n^4 + 84142172780774656/677915985303811779525*n^5 - 5603644391945728/39789088838429705775*n^6 + 107992837810298624/466617496377948367725*n^7 - 192399843750455296/1026558492031486408995*n^8 + 1829483213954652416/5011449848806192516725*n^9 - 92159294855156056576/295904898052050767755275*n^10) * eps^19
-        + (208560/16246889477 - 23395328/926072700189*n + 5966964736/217627084544415*n^2 - 59040218112/828510128879615*n^3 + 96692817891328/1369527243038003595*n^4 - 203186292622336/1893520275156891927*n^5 + 17678406396274688/126068586740708857245*n^6 - 714429587557256192/5132792460157432044975*n^7 + 45769716805203484672/192713026004092675870425*n^8 - 2770267341515812025344/14367826716527353945450575*n^9) * eps^20
-        + (5695096/1877174392275 + 37023086848/3264406268166225*n - 135977211392/3264406268166225*n^2 + 19436995328/486188167599225*n^3 - 2916383737510912/37543936490179753725*n^4 + 1016222889010513664/11976515740367341438275*n^5 - 3851462753392374272/35929547221102024314825*n^6 + 67996526692104448/448644081702649615783*n^7 - 6002521005978183563264/43103480149582061836351725*n^8) * eps^21
-        + (1293248/133072694475 - 31178752/1729945028175*n + 23344955392/1088135422722075*n^2 - 20955891089408/403698241829889825*n^3 + 31312543744/608896292352775*n^4 - 3711165786734592/45887033487997476775*n^5 + 22699071565427326976/235538142893891048286075*n^6 - 1975768440081947803648/18472920064106597929865025*n^7) * eps^22
-        + (70576/29211079275 + 7439872/814404890187*n - 61061929984/2004017747638725*n^2 + 1769998572032/57671177404269975*n^3 - 70447795996672/1211094725489669475*n^4 + 48276040517729792/786000476842795489275*n^5 - 307128224790756352/3725130079472998170975*n^6) * eps^23
-        + (4576/607819275 - 292864/21987621075*n + 323268608/18931341745575*n^2 - 204679168/5263836485355*n^3 + 30640655949824/785215261581214275*n^4 - 20770366119528448/335286916695178495425*n^5) * eps^24
-        + (363376/186843645135 + 76231168/10276400482425*n - 192745499648/8395819194141225*n^2 + 163618760840704/6769828876875874425*n^3 - 6126423998867456/137653187163142779975*n^4) * eps^25
-        + (433472/72882272925 - 1978056704/195251609166075*n + 158870945792/11519844940798425*n^2 - 1279016321024/42860359262006055*n^3) * eps^26
-        + (4160936/2628224005275 + 3079920896/506546373283335*n - 128748399563264/7261342261016607225*n^2) * eps^27
-        + (631696/132195410325 - 3245452288/411259921521075*n) * eps^28
-        + 594728/456448303575 * eps^29;
-C4[4] = + (64/31185 - 512/81081*n + 1024/135135*n^2 - 512/109395*n^3 + 2048/1247103*n^4 - 2560/8729721*n^5 + 1024/66927861*n^6 + 512/717084225*n^7 + 4096/45176306175*n^8 + 512/29113619535*n^9 + 1024/232077138579*n^10 + 512/386795230965*n^11 + 2048/4512611027925*n^12 + 6656/38530755699975*n^13 + 1024/14311423545705*n^14 + 512/16107366892617*n^15 + 8192/546802718196735*n^16 + 8704/1171720110421575*n^17 + 1024/266042730385575*n^18 + 9728/4692993764001543*n^19 + 10240/8864543776447359*n^20 + 512/771462758869803*n^21 + 1024/2613019021978365*n^22 + 11776/49647361417588935*n^23 + 4096/27897088796549973*n^24 + 12800/137977493236990407*n^25) * eps^4
-        - (128/135135 - 2048/405405*n + 77824/6891885*n^2 - 198656/14549535*n^3 + 8192/855855*n^4 - 256000/66927861*n^5 + 1282048/1673196525*n^6 - 284672/6453758025*n^7 - 2932736/1310112879075*n^8 - 1378304/4512611027925*n^9 - 102400/1624539970053*n^10 - 677888/40613499251325*n^11 - 876544/166966608033225*n^12 - 2048/1091285019825*n^13 - 241664/325982425207725*n^14 - 3737600/11774485198503027*n^15 - 22642688/155838774686069475*n^16 - 661504/9402339422651175*n^17 - 10719232/299830157144543025*n^18 - 37783552/1994522349700655775*n^19 - 1024000/98334590264311401*n^20 - 38912/6580123531536555*n^21 - 1773568/513022734648418995*n^22 - 47104/22706932741377885*n^23 - 1851392/1452689867820346155*n^24) * eps^5
-        - (512/405405 - 2048/530145*n + 299008/130945815*n^2 + 280576/43648605*n^3 - 14114816/1003917915*n^4 + 63039488/5019589575*n^5 - 87683072/15058768725*n^6 + 243132416/187158982725*n^7 - 3305586688/40613499251325*n^8 - 1816576/410237366175*n^9 - 26021888/40613499251325*n^10 - 208984064/1502699472299025*n^11 - 1482752/38530755699975*n^12 - 258390016/20536892788086675*n^13 - 1101824/236688927871275*n^14 - 1674704896/883086389887727025*n^15 - 103952580608/124515180974169510525*n^16 - 20090607616/51270956871716857275*n^17 - 141357056/728158953065318775*n^18 - 244905162752/2431322744285099389725*n^19 - 5751365632/105709684534134756075*n^20 - 52934656/1738947191470615035*n^21 - 46270369792/2633345696950334701335*n^22 - 57764907008/5539106465998979889015*n^23) * eps^6
-        + (128/2297295 - 2048/1438965*n + 241664/43648605*n^2 - 1071104/143416845*n^3 - 598016/3011753745*n^4 + 27613184/2377700325*n^5 - 863424512/62386327575*n^6 + 14341695488/1933976154825*n^7 - 10573889536/5801928464475*n^8 + 554350592/4512611027925*n^9 + 10652495872/1502699472299025*n^10 + 19990528/18551845337025*n^11 + 385441792/1579760983698975*n^12 + 26510989312/378465595666168725*n^13 + 36253696/1532249375166675*n^14 + 53436065792/5929294332103310025*n^15 + 52137918464/13835020108241056725*n^16 + 1480593344512/871606266819186573675*n^17 + 4181365755904/5132792460157432044975*n^18 + 1000732862464/2431322744285099389725*n^19 + 43487879168/199978927019120729025*n^20 + 134786934784/1128576727264429157715*n^21 + 14014785654784/206529541089390535861845*n^22) * eps^7
-        - (17536/130945815 + 1024/43648605*n - 333824/3011753745*n^2 - 3402752/1003917915*n^3 + 76509184/9035261235*n^4 - 506510336/119101170825*n^5 - 544454656/64774320975*n^6 + 81273324544/5801928464475*n^7 - 116438441984/13537833083775*n^8 + 384681841664/166966608033225*n^9 - 9210947584/55655536011075*n^10 - 56273062912/5600970760387275*n^11 - 1406799613952/883086389887727025*n^12 - 17382315008/46478231046722475*n^13 - 7065012224/63755853033368925*n^14 - 1597517556736/41505060324723170175*n^15 - 13088473088/870735531287898675*n^16 - 96767968256/15052177302514463475*n^17 - 2168797042688/733256065736776006425*n^18 - 22253970224128/15398377380472296134925*n^19 - 2024631116115968/2725512796343596415881725*n^20 - 631344565525504/1583393148351994108274145*n^21) * eps^8
-        + (2944/43648605 - 1722368/3011753745*n + 13266944/15058768725*n^2 + 108544/717084225*n^3 + 19259392/13790661885*n^4 - 304229926912/40613499251325*n^5 + 13166350336/1933976154825*n^6 + 217784215552/40613499251325*n^7 - 1070803042304/79089445910475*n^8 + 1576695216128/166966608033225*n^9 - 7317091151872/2678725146272175*n^10 + 71083022336/342591383636775*n^11 + 332174286848/25231039711077915*n^12 + 180362430464/83287746471016395*n^13 + 457253050314752/871606266819186573675*n^14 + 66028500992/413279405793829575*n^15 + 2626638683471872/46195132141416888404775*n^16 + 1048407575824384/46195132141416888404775*n^17 + 1373352398848/138724120544795460675*n^18 + 341593997830144/73662508009286389618425*n^19 + 382965711284199424/166256280576959381368785225*n^20) * eps^9
-        - (14848/602350749 + 63488/1673196525*n + 413696/1368978975*n^2 - 58701824/48522699225*n^3 + 71114752/164427122475*n^4 - 241801216/738427259115*n^5 + 890097664/148767396525*n^6 - 185319725056/23118453419985*n^7 - 14710882304/5272629727365*n^8 + 87149336576/6838792137225*n^9 - 1769065070153728/176617277977545405*n^10 + 39343512737792/12675881194560675*n^11 - 10281234043641856/41505060324723170175*n^12 - 1581078206464/96748392365322075*n^13 - 806631639658496/290535422273062191225*n^14 - 112074429466624/162088182952339959315*n^15 - 269338565378048/1248517084903159146075*n^16 - 18582400043008/236898113545727632845*n^17 - 1933197962104832/60566951029857698130705*n^18 - 60399947547314176/4262981553255368753045775*n^19) * eps^10
-        + (13696/295269975 - 1263616/5019589575*n + 93507584/436704293025*n^2 - 143448064/1504203675975*n^3 + 14614028288/13537833083775*n^4 - 609875968/624823065405*n^5 - 1237520384/26363148636825*n^6 - 253546190848/55655536011075*n^7 + 5681519509504/677040421585275*n^8 + 214664647481344/294362129962575675*n^9 - 31278745921441792/2649259169663181075*n^10 + 290271896455168/27949535572204155*n^11 - 994793732507705344/290535422273062191225*n^12 + 1007756234246144/3528770311008852525*n^13 + 180209601368526848/9239026428283377680955*n^14 + 52513246916810752/15398377380472296134925*n^15 + 4467930789675008/5132792460157432044975*n^16 + 1202387450415104/4333088706428611154025*n^17 + 146144562349641728/1420993851085122917681925*n^18) * eps^11
-        - (2752/792566775 + 3126784/436704293025*n + 278027264/1230712098525*n^2 - 1906406912/4512611027925*n^3 + 13318144/148767396525*n^4 - 385723904/479329975215*n^5 + 651327491072/500899824099675*n^6 + 2585190754816/61610678364260025*n^7 + 1285145378811904/378465595666168725*n^8 - 1896715047424/228719603700525*n^9 + 108991838453582848/124515180974169510525*n^10 + 34341601112433152/3169477333887951177*n^11 - 616093273555376128/58107084454612438245*n^12 + 79626751390577152/21536192140520693895*n^13 - 611808984871936/1906919799439293639*n^14 - 348075945959202304/15398377380472296134925*n^15 - 11052858295372292096/2725512796343596415881725*n^16 - 16246381930177024/15352874741615973900525*n^17) * eps^12
-        + (34048/1094496975 - 4296704/33929406225*n + 9199616/113763303225*n^2 - 666202112/4512611027925*n^3 + 11972722688/23852372576175*n^4 - 19444084736/100179964819935*n^5 + 97002643456/175528998188775*n^6 - 539677367382016/378465595666168725*n^7 + 37863377108992/294362129962575675*n^8 - 849685773930496/337439514835147725*n^9 + 2307997411351846912/290535422273062191225*n^10 - 952506302124032/452782476269707311*n^11 - 10149533533759029248/1026558492031486408995*n^12 + 2536635024778391552/236898113545727632845*n^13 - 345761202095071232/87990727888413120771*n^14 + 170146429996470272/481454300714290128225*n^15 + 4257384430093558022144/166256280576959381368785225*n^16) * eps^13
-        + (7168/4946230575 + 8974336/1933976154825*n - 93282304/644658718275*n^2 + 1573646336/8787716212275*n^3 - 1366114304/12843585233325*n^4 + 202461184/415348221015*n^5 - 411651006464/1274294934902925*n^6 + 3839857856512/10228799882869425*n^7 - 494905525829632/348782019535488825*n^8 + 3102394617856/8943128706038175*n^9 - 23750499115491328/12631974881437486575*n^10 + 6281828177286582272/839911493480307061905*n^11 - 362043035983265792/119367266515289117325*n^12 - 66153523158142976/7357084271606448225*n^13 + 278535696937581191168/25957264727081870627445*n^14 - 10888422776491155263488/2638988580586656847123575*n^15) * eps^14
-        + (120064/5605727985 - 192512/2712449025*n + 3118014464/71557117728525*n^2 - 661172224/5386019613975*n^3 + 716483084288/2933841826869525*n^4 - 51287781376/468480843441765*n^5 + 378645470961664/883086389887727025*n^6 - 307621081034752/711515319852397203*n^7 + 14911080071168/54731947680953631*n^8 - 881401908588544/658810481344812225*n^9 + 5137439471148163072/9239026428283377680955*n^10 - 1347004173866315776/942757798804426293975*n^11 + 107407504440093753344/15398377380472296134925*n^12 - 260611080305794551808/69884943495989651689275*n^13 - 64625496610661007302656/7916965741759970541370725*n^14) * eps^15
-        + (6400/2616006393 + 1107968/140504859495*n - 2029686784/21778253221725*n^2 + 1198225408/12989812010175*n^3 - 1367443873792/13585944459811185*n^4 + 719433310676992/2649259169663181075*n^5 - 63814622162944/456099564007946925*n^6 + 157784678176768/438213306595870575*n^7 - 442694333281845248/871606266819186573675*n^8 + 4703020945135616/20780536275941020425*n^9 - 174940641115230208/143018984957947022925*n^10 + 179184835005863936/244418688578925335475*n^11 - 3826143738499702784/3428317982822133856455*n^12 + 16560752844714960140288/2557788931953221251827465*n^13) * eps^16
-        + (84736/5562772215 - 1101824/25471641195*n + 5169913856/178581676418145*n^2 - 233627242496/2559670695326745*n^3 + 70218421682176/529851833932636215*n^4 - 367435176251392/4016618741102242275*n^5 + 11260909794107392/41505060324723170175*n^6 - 157314981962559488/871606266819186573675*n^7 + 4600932081707548672/15398377380472296134925*n^8 - 2826045097184792576/5132792460157432044975*n^9 + 3358887872888479744/15398377380472296134925*n^10 - 2997036152580109078528/2725512796343596415881725*n^11 + 48333318506986607427584/55418760192319793789595075*n^12) * eps^17
-        + (29696/12381654285 + 126963712/15737082596235*n - 174095884288/2803448856786435*n^2 + 192265793536/3463083881912655*n^3 - 2065111023763456/24903036194833902105*n^4 + 137907822072991744/871606266819186573675*n^5 - 1454755457867776/15291338014371694275*n^6 + 16143676059275264/63194435213976591525*n^7 - 923844554893459456/4199557467401535309525*n^8 + 1290691679389454336/5132792460157432044975*n^9 - 90880238263941996544/160324282137858612698925*n^10 + 38669172193378346979328/166256280576959381368785225*n^11) * eps^18
-        + (171776/15383267445 - 4296704/152649346185*n + 786882560/36910611907533*n^2 - 1117064032256/16769721343322493*n^3 + 1268559669477376/15847386669439755885*n^4 - 6079247310737408/79236933347198779425*n^5 + 238252404104617984/1399852489133845103175*n^6 - 4954857180036468736/46195132141416888404775*n^7 + 3590745911011278848/15398377380472296134925*n^8 - 10935270658690822144/43262107878469784379075*n^9 + 4039796192998858153984/18472920064106597929865025*n^10) * eps^19
-        + (244288/116731852965 + 16665088/2289740192775*n - 60094358528/1399031257785525*n^2 + 3775697939968/101196594313152975*n^3 - 11699335030784/179675585821312425*n^4 + 16586730946151936/167982298696061412381*n^5 - 60983345813341184/810440914761699796575*n^6 + 378264738379902464/2199768197210328019275*n^7 - 19768926062753615872/160324282137858612698925*n^8 + 9935173508449188352/47245319857050122582775*n^9) * eps^20
-        + (2254208/268167770325 - 202909696/10519032013425*n + 1358934016/82295956340325*n^2 - 160058079232/3264406268166225*n^3 + 850193500332032/16090258495791323025*n^4 - 321074139364931584/5132792460157432044975*n^5 + 243713411755012096/2199768197210328019275*n^6 - 707822781060487168/9054859788516931614225*n^7 + 3972497411381290090496/23750897225279911624112175*n^8) * eps^21
-        + (46064128/26177300041725 + 2135226368/340304900542425*n - 129082421248/4197093773356575*n^2 + 14011652593664/519040596638429775*n^3 - 11242059096064/222445969987898475*n^4 + 34969938420373504/530978530361113659825*n^5 - 31791272768638976/519442118609414220675*n^6 + 64623481105209387008/552346447099532828467725*n^7) * eps^22
-        + (567424/87633237825 - 2525366272/183241100292075*n + 127744077824/9711778315479975*n^2 - 1465656547328/39926199741417675*n^3 + 64825892864/1735921727887725*n^4 - 434460028991488/8637367877393357025*n^5 + 3702905819309092864/48999787968452514402825*n^6) * eps^23
-        + (4411264/3014175784725 + 36530244608/6869306613388275*n - 6393343404032/281641571148919275*n^2 + 1926123498496/93880523716306425*n^3 - 8066704574943232/204941183272696925775*n^4 + 83042824808834048/1785916025662073210325*n^5) * eps^24
-        + (14258816/2802654677025 - 85649408/8407964031075*n + 24432791552/2289768871129425*n^2 - 155146314299392/5538950899262079075*n^3 + 28150215791353856/1013628014564960470725*n^4) * eps^25
-        + (74207744/61002462438225 + 81445824512/18158399652444975*n - 55287432851456/3214036738482760575*n^2 + 45322371937982464/2810139455013426996075*n^3) * eps^26
-        + (32066944/7884672015825 - 75653347328/9769108627607175*n + 245769011032064/28008034435349770725*n^2) * eps^27
-        + (83335616/82093349811825 + 9767500288/2579721325904925*n) * eps^28
-        + 4519424/1369344910725 * eps^29;
-C4[5] = + (128/99099 - 2048/495495*n + 4096/765765*n^2 - 6144/1616615*n^3 + 8192/4849845*n^4 - 10240/22309287*n^5 + 12288/185910725*n^6 - 2048/717084225*n^7 - 16384/145568097675*n^8 - 2048/167133741775*n^9 - 4096/1985548852287*n^10 - 2048/4512611027925*n^11 - 8192/68023432902425*n^12 - 2048/55655536011075*n^13 - 4096/325982425207725*n^14 - 2048/436092044389001*n^15 - 32768/17315419409563275*n^16 - 34816/42832879592077575*n^17 - 4096/11104820634983075*n^18 - 38912/221613594411183975*n^19 - 40960/469820820151710027*n^20 - 6144/136720344488592865*n^21 - 4096/171007578216139665*n^22 - 47104/3580126395557246535*n^23 - 49152/6617809397848243595*n^24) * eps^5
-        - (256/495495 - 8192/2807805*n + 376832/53348295*n^2 - 8192/855855*n^3 + 294912/37182145*n^4 - 761856/185910725*n^5 + 6373376/5019589575*n^6 - 1417216/6931814175*n^7 + 14614528/1504203675975*n^8 + 6873088/16546240435725*n^9 + 114688/2363748633675*n^10 + 483328/55655536011075*n^11 + 3702784/1836632688365475*n^12 + 1564672/2788960748999425*n^13 + 16384/91615975711975*n^14 + 434176/6845630929362225*n^15 + 113115136/4611673369413685575*n^16 + 19357696/1898924328582105825*n^17 + 7651328/1699037557152410475*n^18 + 188801024/90048990529077755175*n^19 + 2588672/2533347559641573675*n^20 + 36364288/70137536722648139745*n^21 + 26591232/97531322109271655605*n^22 + 334061568/2256673004666251065895*n^23) * eps^6
-        - (6784/8423415 - 432128/160044885*n + 397312/160044885*n^2 + 3233792/1227010785*n^3 - 90112/10140585*n^4 + 16893952/1673196525*n^5 - 304615424/48522699225*n^6 + 129972224/58605338025*n^7 - 19623657472/49638721307175*n^8 + 112556032/5515413478575*n^9 + 1717645312/1836632688365475*n^10 + 1488896/12843585233325*n^11 + 548397056/25100646740994825*n^12 + 1909467136/359775936620925825*n^13 + 26341376/17132187458139325*n^14 + 212998144/419243033583062325*n^15 + 2574811136/13835020108241056725*n^16 + 7177459712/96845140757687397075*n^17 + 1640075264/51846388486438707525*n^18 + 42549766144/2971616687459565920775*n^19 + 384894803968/56460717061731752494725*n^20 + 4678068224/1379371555545413414985*n^21 + 93907152896/53544695837990138927145*n^22) * eps^7
-        + (512/53348295 - 16384/22863555*n + 950272/283156335*n^2 - 7094272/1227010785*n^3 + 27459584/11043097065*n^4 + 44056576/7661478825*n^5 - 15664185344/1504203675975*n^6 + 55903043584/7091245901025*n^7 - 156559081472/49638721307175*n^8 + 125727391744/204070298707275*n^9 - 62808752128/1836632688365475*n^10 - 11392663552/6845630929362225*n^11 - 33476509696/154189687123253925*n^12 - 138500489216/3237983429588332425*n^13 - 950960128/88019214106796775*n^14 - 1150632968192/355098849444853789275*n^15 - 106967072768/96845140757687397075*n^16 - 305122557952/733256065736776006425*n^17 - 22689579008/133476872486363481075*n^18 - 4193065713664/56460717061731752494725*n^19 - 114398135779328/3331182306642173397188775*n^20 - 32269630521344/1935258292430215021223955*n^21) * eps^8
-        - (16768/160044885 - 18432/409003595*n - 1716224/6135053925*n^2 - 784384/557732175*n^3 + 358162432/64049962977*n^4 - 21357307904/3818363177475*n^5 - 8616275968/3818363177475*n^6 + 393340928/41057668575*n^7 - 4234428416/475688341975*n^8 + 84470368256/21110720555925*n^9 - 102917165056/121259162999975*n^10 + 4928882046976/98120709987525225*n^11 + 8343515193344/3237983429588332425*n^12 + 178912274432/508980672878433525*n^13 + 633749204992/8804103705244308825*n^14 + 20039994431488/1065296548334561367825*n^15 + 2233706971136/384086510624025527175*n^16 + 4259891402752/2091137668953027870175*n^17 + 1138831732736/1447710693890557756275*n^18 + 283557603328/862777080197403107275*n^19 + 26333931741184/179665889217659219477025*n^20) * eps^9
-        + (40192/1227010785 - 6627328/18405161775*n + 13451264/18405161775*n^2 - 1220608/177916563825*n^3 + 625639424/49638721307175*n^4 - 40023105536/9927744261435*n^5 + 8635301888/1272787725825*n^6 - 3905085440/5651177502663*n^7 - 601491439616/73465307534619*n^8 + 78960137363456/8366882246998275*n^9 - 3063088825974784/647596685917666485*n^10 + 318151765925888/294362129962575675*n^11 - 3436000146980864/50728407063550541325*n^12 - 141582966784/38892210884398575*n^13 - 18976575045632/36734363735674529925*n^14 - 14207981707264/129794751866050005735*n^15 - 1664495212691456/56460717061731752494725*n^16 - 105714509602816/11292143412346350498945*n^17 - 248688188440576/74026273480937186604195*n^18 - 20727065127968768/15630932361936352094501175*n^19) * eps^10
-        - (451456/18405161775 + 468992/18405161775*n + 2215936/21349987659*n^2 - 186566656/220616539143*n^3 + 10790330368/16546240435725*n^4 + 69511168/174170951955*n^5 + 1481088978944/612210896121825*n^6 - 336223479808/49638721307175*n^7 + 216393505521664/75301940222984475*n^8 + 2378698436777984/359775936620925825*n^9 - 31129006450757632/3237983429588332425*n^10 + 14764481067108352/2767004021648211345*n^11 - 6488450473984/4973860874943675*n^12 + 335812940167168/3902185158734657025*n^13 + 955302786666496/198107779163971061385*n^14 + 13339668624545792/18820239020577250831575*n^15 + 8742367278497792/56460717061731752494725*n^16 + 763066338654208/17813809126428734744325*n^17 + 8502065922936832/610216578694211943629175*n^18) * eps^11
-        + (75776/2906078175 - 21692416/123173005725*n + 1413349376/7091245901025*n^2 + 807206912/49638721307175*n^3 + 29159063552/49638721307175*n^4 - 392668971008/367326537673095*n^5 - 141528793088/612210896121825*n^6 - 91066548813824/75301940222984475*n^7 + 19940018063147008/3237983429588332425*n^8 - 14101050299973632/3237983429588332425*n^9 - 20817214190780416/4113114086233827675*n^10 + 36951885405552640/3873805630307495883*n^11 - 95511505657397248/16389177666685559505*n^12 + 1316229674909106176/868626416334334653765*n^13 - 18190456006246400/173725283266866930753*n^14 - 9295527959658496/1525965325992750067425*n^15 - 3078599776131874816/3331182306642173397188775*n^16 - 2480267930475757568/11953065923833681013442075*n^17) * eps^12
-        - (157952/25416651975 + 63254528/5515413478575*n + 684187648/5515413478575*n^2 - 531623936/1504203675975*n^3 + 4810227712/68023432902425*n^4 - 384561152/1316582572305*n^5 + 4242336096256/3585806677284975*n^6 - 3859307081728/27209944786456575*n^7 + 7701409398784/17315419409563275*n^8 - 546830624075776/102897377410853025*n^9 + 330876058407968768/62664502843209492225*n^10 + 14091916227989504/3873805630307495883*n^11 - 34993139294239965184/3764047804115450166315*n^12 + 1800608637785731072/289542138778111551255*n^13 - 355896986804224/208015905173553477*n^14 + 19560882727191252992/158627728887722542723275*n^15 + 1508191457506470068224/203202120705172577228515275*n^16) * eps^13
-        + (1938944/102771679725 - 17088512/181826817975*n + 34045952/472749726735*n^2 - 6395052032/122442179224365*n^3 + 25022234624/68023432902425*n^4 - 35317563392/152125131763605*n^5 + 591038611456/5771806469854425*n^6 - 506800255483904/462569061369761775*n^7 + 124425632874496/241947887425519275*n^8 - 98713540640768/2984023944914737725*n^9 + 205916220474097664/46317241231937450775*n^10 - 349988448862552064/60385793648910965235*n^11 - 3447444843814387712/1447710693890557756275*n^12 + 563260537104941056/62943943212632945925*n^13 - 15920738443405656064/2440426598272654503435*n^14 + 156734826902743629824/82905802001294401154025*n^15) * eps^14
-        - (12032/12332601567 + 4599808/2158205274225*n + 170288193536/1836632688365475*n^2 - 290734034944/1836632688365475*n^3 + 267831984128/6845630929362225*n^4 - 1040046419968/3463083881912655*n^5 + 12144070811648/32706903329175075*n^6 - 12323923677184/395286288806887335*n^7 + 10271238256623616/11213647877205909135*n^8 - 45081806458482688/56068239386029545675*n^9 - 81270905450586112/594323337491913184155*n^10 - 26646047229472768/7301269502357655825*n^11 + 20005720522276225024/3321218650690103087925*n^12 + 47542518825522900992/36606398974089817551525*n^13 - 4201054759030906560512/492014820109376700311175*n^14) * eps^15
-        + (218112/15986705735 - 290357248/5323573009755*n + 131006464/3802552149825*n^2 - 842694656/13344309803825*n^3 + 790763536384/3924828399501009*n^4 - 7426755887104/98120709987525225*n^5 + 75745991262208/354744105339514275*n^6 - 3377930257793024/7449626212129799775*n^7 + 4306377448357888/96845140757687397075*n^8 - 27137013481472/37825596510476775*n^9 + 2956012676751097856/2971616687459565920775*n^10 + 801788666804862976/5132792460157432044975*n^11 + 3289715296102045057024/1110394102214057799062925*n^12 - 31552966617464087478272/5210310787312117364833725*n^13) * eps^16
-        + (294656/469127123465 + 25858048/13604686580485*n - 9844842496/152125131763605*n^2 + 175265755136/2180460221945005*n^3 - 2666742562816/58872425992515135*n^4 + 215614078521344/1064232316018542825*n^5 - 46888924340224/354744105339514275*n^6 + 28689645211648/201341248976481075*n^7 - 11152793875152896/23225305249581140475*n^8 + 650630500139831296/6273413006859083610525*n^9 - 30411772176709967872/56460717061731752494725*n^10 + 332517313573568196608/302834755149288490653525*n^11 + 6147866059759464267776/67734040235057525742838425*n^12) * eps^17
-        + (13824/1375739365 - 59359232/1748564732915*n + 45142409216/2180460221945005*n^2 - 1079315316736/19624141997505045*n^3 + 13677762117632/120304522680357015*n^4 - 21487658647552/446290971233582475*n^5 + 107709256466432/601522613401785075*n^6 - 317939842858467328/1710930820052477348325*n^7 + 32625224557920256/330179631939951768975*n^8 - 8782461881349357568/18820239020577250831575*n^9 + 66561309202129190912/370131367404685933020975*n^10 - 9846754133827698688/24929716685703910836525*n^11) * eps^18
-        + (27392/25638779075 + 8081408/2425428500495*n - 739467264/16345279025075*n^2 + 23711257718784/512408152157076175*n^3 - 4197953748992/94483064153841363*n^4 + 66534864318464/517888453249665225*n^5 - 113093248480108544/1710930820052477348325*n^6 + 8321651132554350592/56460717061731752494725*n^7 - 12728279499474894848/56460717061731752494725*n^8 + 30034408600463986688/370131367404685933020975*n^9 - 3791666672669202522112/8834874813268372922978925*n^10) * eps^19
-        + (362496/47933369575 - 73990144/3307402500675*n + 24686231552/1709927092848975*n^2 - 5424909975552/123684726382742525*n^3 + 737167248982016/10760571195298599675*n^4 - 2806535039418368/68437232802099093933*n^5 + 141729549396082688/1107072883563367695975*n^6 - 2818897757929472/31142149510056123825*n^7 + 110767543318740992/937568901390986039175*n^8 - 1624194242334359552/6542455349662660653225*n^9) * eps^20
-        + (179072/160900662195 + 5079242752/1399031257785525*n - 45133008896/1399031257785525*n^2 + 3194148988928/107725406849485425*n^3 - 300531459629056/7695341019726284925*n^4 + 4673381031931672576/56460717061731752494725*n^5 - 2564296548162482176/56460717061731752494725*n^6 + 3314224376139778048/27993128627245154598225*n^7 - 1369582736990797021184/11953065923833681013442075*n^8) * eps^21
-        + (5634304/969529631175 - 104833024/6786707418225*n + 2751414272/251108174474325*n^2 - 23908622336/700459644586275*n^3 + 158037016576/3570635749232475*n^4 - 1796889271328768/49921058410019232975*n^5 + 7584413032870494208/85414930939542907620225*n^6 - 568203943290363904/10290278052624326592825*n^7) * eps^22
-        + (14777984/14401062082575 + 2047571968/590443545385575*n - 105351344128/4470501129347925*n^2 + 87661905668096/4245485905837412775*n^3 - 15411476668416/471720656204156975*n^4 + 16965096326715392/306146705876497876775*n^5 - 189726703450447433728/5210310787312117364833725*n^6) * eps^23
-        + (1524224/334908420525 - 8459829248/763256290376475*n + 2999519051776/344228586959790225*n^2 - 9129476276224/344228586959790225*n^3 + 22885325392510976/751451005333222061175*n^4 - 1421006686098669568/45838511325326545731675*n^5) * eps^24
-        + (99522176/110050906984515 + 655403008/208717237384425*n - 4588589584384/260270395018377975*n^2 + 3208194018019328/209864695183152107175*n^3 - 4971722761576448/185532556611192442575*n^4) * eps^25
-        + (356096/98232628725 - 49703919616/6052799884148325*n + 51891453952/7288065166627575*n^2 - 6483388995346432/312237717223714110675*n^3) * eps^26
-        + (22625408/28910464058025 + 25774721024/9286683510194475*n - 4256878292992/315710533087678575*n^2) * eps^27
-        + (98029568/33445438812225 - 650254352384/104048760144831975*n) * eps^28
-        + 3108352/4619256832179 * eps^29;
-C4[6] = + (512/585585 - 4096/1422135*n + 8192/2078505*n^2 - 4096/1322685*n^3 + 16384/10140585*n^4 - 4096/7243275*n^5 + 8192/65189475*n^6 - 28672/1890494775*n^7 + 32768/58605338025*n^8 + 4096/214886239425*n^9 + 8192/4512611027925*n^10 + 4096/15178782548475*n^11 + 16384/310080843490275*n^12 + 4096/325982425207725*n^13 + 57344/16565834153738025*n^14 + 4096/3822884804708775*n^15 + 65536/179675585821312425*n^16 + 69632/517888453249665225*n^17 + 8192/154457959741128225*n^18 + 77824/3508402228405626825*n^19 + 16384/1677931500541821525*n^20 + 4096/910877100294131685*n^21 + 8192/3799921640620973595*n^22 + 94208/87922324857126664905*n^23) * eps^6
-        - (1024/3318315 - 16384/9006855*n + 98304/21015995*n^2 - 770048/111546435*n^3 + 65536/10140585*n^4 - 606208/152108775*n^5 + 1015808/630164925*n^6 - 114688/283117575*n^7 + 11665408/214886239425*n^8 - 1097728/501401225325*n^9 - 4489216/55655536011075*n^10 - 180224/21924908125575*n^11 - 38469632/29664400693902975*n^12 - 3751936/14017244283932175*n^13 - 12156928/182224175691118275*n^14 - 14925824/778594205225687175*n^15 - 262144/42531901957701975*n^16 - 6373376/2934701235081436275*n^17 - 42827776/51846388486438707525*n^18 - 30195712/90048990529077755175*n^19 - 11730944/81472896192975111825*n^20 - 1163264/17913916305784589805*n^21 - 360448/11786197631078613015*n^22) * eps^7
-        - (103424/189143955 - 8192/4203199*n + 3260416/1450103655*n^2 + 253952/315239925*n^3 - 28082176/5019589575*n^4 + 103325696/13233463425*n^5 - 822099968/136745788725*n^6 + 1433600/505614681*n^7 - 401801216/501401225325*n^8 + 2190548992/18551845337025*n^9 - 73121792/14186705257725*n^10 - 547889152/2696763699445725*n^11 - 28002254848/1275569229837827925*n^12 - 1073225728/294362129962575675*n^13 - 20235665408/25693608772447676775*n^14 - 85799051264/419662276616645387325*n^15 - 2324824064/38151116056058671575*n^16 - 1049976832/51846388486438707525*n^17 - 838811648/114062054670165156555*n^18 - 1639800832/570310273350825782775*n^19 - 5253726208/4388909494917224502225*n^20 - 66113314816/125666122885078897482075*n^21) * eps^8
-        - (1024/189143955 + 1654784/4350310965*n - 45842432/21751554825*n^2 + 31342592/7250518275*n^3 - 6135283712/1892385269775*n^4 - 10298703872/4512611027925*n^5 + 6553174016/902522205585*n^6 - 1929592832/265447707525*n^7 + 668086697984/166966608033225*n^8 - 913531224064/723521968143975*n^9 + 1061266948096/5234894240100525*n^10 - 3303047708672/347882517228498525*n^11 - 1519936274432/3826707689513483775*n^12 - 625052991488/13835020108241056725*n^13 - 340739325952/43413338960342626275*n^14 - 76600623104/43413338960342626275*n^15 - 31673898237952/66726301982046616584675*n^16 - 9749494448128/66726301982046616584675*n^17 - 85542404096/1710930820052477348325*n^18 - 27544600576/1477242708045309710505*n^19 - 138002181062656/18472920064106597929865025*n^20) * eps^9
-        - (71168/870062193 - 36864/483367885*n - 8192/31387525*n^2 - 99487744/210265029975*n^3 + 206400176128/58663943363025*n^4 - 157536256/30474775773*n^5 + 1459478528/1504203675975*n^6 + 314377302016/55655536011075*n^7 - 124925476864/16078265958755*n^8 + 640587280384/128417319021225*n^9 - 9891103023104/5669196577057013*n^10 + 35120897650688/115960839076166175*n^11 - 129391717695488/8564536257482558925*n^12 - 838089404416/1257729100749186975*n^13 - 5874723561472/74058048814702127175*n^14 - 12759336988672/889684026427288221129*n^15 - 1516148424704/453920421646575623025*n^16 - 91688259584/98853780714143135681*n^17 - 128511000682496/437427979660083375388425*n^18 - 10085039747072/97740317799505809152725*n^19) * eps^10
-        + (118784/7250518275 - 15269888/65254664475*n + 158990336/270340752825*n^2 - 1072234496/6518215929225*n^3 - 71041024/180504441117*n^4 - 3131899904/1676112667515*n^5 + 767602327552/144704393628795*n^6 - 7247836020736/2170565904431925*n^7 - 326399017091072/88993202081708925*n^8 + 35920955899904/4672414761310725*n^9 - 22026456501714944/3826707689513483775*n^10 + 36243071515820032/16350478309739430675*n^11 - 24770945246560256/59951753802377912475*n^12 + 17755041759232/813824712249473925*n^13 + 1642198110175232/1627470780049917477675*n^14 + 2782922322673664/22242100660682205528225*n^15 + 223455531237376/9532328854578088083525*n^16 + 100384158318592/17813809126428734744325*n^17 + 42957093661179904/26683106759265085898693925*n^18) * eps^11
-        - (1445888/65254664475 + 7897088/630795089925*n + 2424832/197521694825*n^2 - 6604095488/11732788672605*n^3 + 14287765504/19554647787675*n^4 + 906395648/2630988975069*n^5 + 22769893376/42560115773175*n^6 - 4711849558016/1046978848020105*n^7 + 1066871483531264/225100452324322575*n^8 + 35504692166656/20463677484029325*n^9 - 76345812706066432/10579721259243161025*n^10 + 6068059858960384/961792841749378275*n^11 - 478285812169048064/179855261407133737425*n^12 + 11756726194307072/22219880779902303225*n^13 - 654323284159299584/22242100660682205528225*n^14 - 94770142918180864/66726301982046616584675*n^15 - 719292224190808064/3936851816940750378495825*n^16 - 499369150090805248/14126350637257986652249725*n^17) * eps^12
-        + (1380352/90113584275 - 7386628096/58663943363025*n + 368705536/2022894598725*n^2 + 6750208/205838397765*n^3 + 18468306944/70018254981675*n^4 - 82814894080/86822636177277*n^5 + 2978608709632/29664400693902975*n^6 + 9194635264/44354768930901*n^7 + 764169233629184/225100452324322575*n^8 - 18918718461771776/3526573753081053675*n^9 - 3627328171802624/74058048814702127175*n^10 + 745621946343817216/114453348168176014725*n^11 - 21203780625144479744/3177442951526029361175*n^12 + 320789326680752128/104750866533825143775*n^13 - 6167729552277241856/9532328854578088083525*n^14 + 49486985870301790208/1312283938980250126165275*n^15 + 454620391029060141056/240147960833385773088245325*n^16) * eps^13
-        - (846848/121457439675 + 2760704/270340752825*n + 3755098112/58663943363025*n^2 - 10839138304/38080103586525*n^3 + 47457796096/434113180886385*n^4 - 38041296896/1618058219667435*n^5 + 574179688448/662633366149521*n^6 - 16095472541696/28772238267018675*n^7 - 852568899584/1849925032215975*n^8 - 3031959594082304/1299264014293019775*n^9 + 199399103086592/36548518879726425*n^10 - 60421317679783936/45609228969273148725*n^11 - 6672117285593513984/1170636876878010817275*n^12 + 5045150093198467072/733256065736776006425*n^13 - 1924429501006250622976/562407402420107196927975*n^14 + 8739482245092077723648/11435617182542179670868825*n^15) * eps^14
-        + (10240/857346633 - 1343488/18893379505*n + 49142628352/723521968143975*n^2 - 800620544/94372430627475*n^3 + 29913645056/120098788234425*n^4 - 14168250155008/51022769193513117*n^5 - 24690420416512/425189743279275975*n^6 - 16306272150519808/25693608772447676775*n^7 + 1053863745683456/1204772085980800155*n^8 + 2085142575153152/5097112671457231425*n^9 + 205141644672696320/140476425225361298073*n^10 - 18323705530956218368/3511910630634032451825*n^11 + 159481393476014047232/66726301982046616584675*n^12 + 489546767922423037952/100944918383096163551175*n^13 - 79622081860613047779328/11435617182542179670868825*n^14) * eps^15
-        - (2717696/1303643185845 + 1836138496/434113180886385*n + 4381376512/74847100152825*n^2 - 1375220350976/9888133564634325*n^3 + 90641821007872/3826707689513483775*n^4 - 593210015105024/3826707689513483775*n^5 + 350306565259264/922334673882737115*n^6 + 159804932096/11168854890749325*n^7 + 488092323692281856/1258986829849936161975*n^8 - 23509815515070464/22953664252510016025*n^9 - 723446958058078208/3511910630634032451825*n^10 - 53863391092240203776/66726301982046616584675*n^11 + 6298552764167390298112/1312283938980250126165275*n^12 - 33340680555495243776/10478116882646964225675*n^13) * eps^16
-        + (264192/29180156005 - 22183936/518653740605*n + 459997184/14869373781405*n^2 - 4054633644032/141729914426425325*n^3 + 35892774436864/225100452324322575*n^4 - 165276001992704/1976431444034436675*n^5 + 330119439908864/4611673369413685575*n^6 - 2591369816276992/6456342717179159805*n^7 + 3979077460688896/43870021026986598675*n^8 - 202257437979738112/1059147650508676453725*n^9 + 7722684046167310336/7414033553560735176075*n^10 - 60600652525666336768/1312283938980250126165275*n^11 + 4062175202748267102208/11435617182542179670868825*n^12) * eps^17
-        - (29696/89423058725 + 86007808/113656707639475*n + 909564624896/20247130632346475*n^2 - 4874605256704/67135222623043575*n^3 + 8913665490944/446290971233582475*n^4 - 147497164496896/1064232316018542825*n^5 + 411105742077952/2767004021648211345*n^6 - 140225607434297344/5132792460157432044975*n^7 + 1872239470911094784/5132792460157432044975*n^8 - 18411038875648/89301676499424675*n^9 + 10877741177165627392/171167470301771755586775*n^10 - 10158457386319702188032/10441215688408077090793275*n^11) * eps^18
-        + (135168/19606125175 - 390529024/14332077502925*n + 303955968/17771776103627*n^2 - 77308821504/2451713646684575*n^3 + 121867688738816/1257729100749186975*n^4 - 2378965909504/66196268460483525*n^5 + 173125825593344/1709221598454023325*n^6 - 14482771405635584/74388296524020754275*n^7 + 4249471492292608/190103424450275260925*n^8 - 529596339336839168/1770963480405195851775*n^9 + 27063289888053788672/89241159729983564878575*n^10) * eps^19
-        + (8065024/25797739505265 + 352878592/386966092578975*n - 46464827392/1399031257785525*n^2 + 14703099904/355075769519835*n^3 - 198597506367488/8804103705244308825*n^4 + 1332322775498752/13331928467941381935*n^5 - 2265423354462208/34916955511275047925*n^6 + 49038258159517696/733256065736776006425*n^7 - 81549844466630656/379017215455930526475*n^8 + 1082408332765528064/24147607926936729320085*n^9) * eps^20
-        + (45056/8468455905 - 242941952/13324107217005*n + 1904607232/171810856219275*n^2 - 12027756544/425792121934725*n^3 + 107565505839104/1787806499532369225*n^4 - 4677584484237312/190103424450275260925*n^5 + 64934853946507264/733256065736776006425*n^6 - 48138266780041216/508965975040820992695*n^7 + 6948561124651958272/155234622387450402771975*n^8) * eps^21
-        + (14907904/28116359304075 + 12387831808/7675766090012475*n - 1394830041088/56800669066092315*n^2 + 129385368375296/5017392434171487825*n^3 - 339203576086528/15052177302514463475*n^4 + 352973598659203072/5132792460157432044975*n^5 - 19296744227725312/539812397770567719525*n^6 + 11106387256285720576/155234622387450402771975*n^7) * eps^22
-        + (20016128/4800354027525 - 7508672512/590443545385575*n + 3266801139712/406815602770661175*n^2 - 4080124248064/173013532212809925*n^3 + 30916335173632/792219858027077025*n^4 - 206717405857660928/9768863069331886795275*n^5 + 420161316872027275264/6157640021368865976621675*n^6) * eps^23
-        + (664576/1153573448475 + 43416952832/23660945001670725*n - 509581410304/27717107001957135*n^2 + 11525019836416/663751772941605075*n^3 - 189239766700490752/9176810762099651231925*n^4 + 3799119443637886976/79969350926868389306775*n^5) * eps^24
-        + (24341504/7336727132301 - 1010843648/110050906984515*n + 21086830592/3380135000238675*n^2 - 15924466597888/829504724044079475*n^3 + 1205956028389326848/45388009985519896633575*n^4) * eps^25
-        + (71266816/128782976258475 + 21557248/11798830183525*n - 333133422592/23807679544316745*n^2 + 125585723838464/10072184426571422925*n^3) * eps^26
-        + (7036928/2628224005275 - 51925090304/7598195599250025*n + 110139925594112/21784026783049821675*n^2) * eps^27
-        + (4612096/9121483312425 + 601554944/350332525740175*n) * eps^28
-        + 139264/63626127165 * eps^29;
-C4[7] = + (1024/1640925 - 65536/31177575*n + 131072/43648605*n^2 - 65536/25741485*n^3 + 262144/175510125*n^4 - 65536/105306075*n^5 + 131072/727113375*n^6 - 458752/13524308775*n^7 + 524288/148767396525*n^8 - 65536/578539875375*n^9 - 131072/38530755699975*n^10 - 65536/227681738227125*n^11 - 262144/6845630929362225*n^12 - 65536/9704246042722275*n^13 - 917504/630775992776947875*n^14 - 65536/179675585821312425*n^15 - 1048576/10158581198358817875*n^16 - 65536/2031716239671763575*n^17 - 131072/11964551189178163275*n^18 - 1245184/311708044139115306375*n^19 - 262144/169212938246948309175*n^20 - 65536/103349517148757248875*n^21 - 131072/481420841700211039305*n^22) * eps^7
-        - (2048/10392525 - 262144/218243025*n + 16252928/5019589575*n^2 - 42729472/8365982625*n^3 + 30408704/5791834125*n^4 - 11272192/3053876175*n^5 + 283639808/157783602375*n^6 - 442236928/743836982625*n^7 + 652214272/5206858878375*n^8 - 306970624/21405975388875*n^9 + 251133952/500899824099675*n^10 + 151257088/9334951267312125*n^11 + 2152726528/1471810649812878375*n^12 + 23330816/113216203831759875*n^13 + 378011648/9882157220172183375*n^14 + 835452928/96845140757687397075*n^15 + 297795584/132061555578664632375*n^16 + 356777984/538404803513017347375*n^17 + 141033472/658050315404798980125*n^18 + 444858368/5922452838643190821125*n^19 + 1970274304/69884943495989651689275*n^20 + 1628176384/144999372559706420171625*n^21) * eps^8
-        - (84992/218243025 - 2424832/1673196525*n + 5373952/2788660875*n^2 - 65536/760543875*n^3 - 7635992576/2183521465125*n^4 + 6166740992/1041371775675*n^5 - 347209728/64282208375*n^6 + 1813970944/578539875375*n^7 - 6911688704/5837993287875*n^8 + 25729630208/92759226685125*n^9 - 237436534784/6845630929362225*n^10 + 19432800256/14866774240534125*n^11 + 4423155712/98120709987525225*n^12 + 13752664064/3192696948055628475*n^13 + 84292272128/132061555578664632375*n^14 + 97583104/787358867948678025*n^15 + 82997936128/2851551366754128913875*n^16 + 202549035008/25663962300787160224875*n^17 + 525991936/219350105134932993375*n^18 + 8466399232/10588627802422674498375*n^19 + 136503885824/473664617028374305893975*n^20) * eps^9
-        - (16384/1673196525 + 1048576/5019589575*n - 14680064/10756263375*n^2 + 137363456/42814146375*n^3 - 217512411136/67689165418875*n^4 - 208666624/644658718275*n^5 + 266338304/55987729875*n^6 - 237490929664/38530755699975*n^7 + 10820641619968/2504499120498375*n^8 - 3027063799808/1629912126038625*n^9 + 424329152036864/883086389887727025*n^10 - 235471372288/3616242382832625*n^11 + 8647887290368/3294052406724061125*n^12 + 1531605680128/15963484740278142375*n^13 + 14010378354688/1452677111365310956125*n^14 + 2557180116992/1710930820052477348325*n^15 + 5922357248/19605777158737326375*n^16 + 5662418403328/76991886902361480674625*n^17 + 2079991005184/100944918383096163551175*n^18 + 19640114741248/3044986823753834823604125*n^19) * eps^10
-        - (323584/5019589575 - 262144/3011753745*n - 3670016/18348919875*n^2 - 92536832/2051186830875*n^3 + 48279584768/22563055139625*n^4 - 43778048/10342118475*n^5 + 118776922112/49107825892125*n^6 + 133187239936/49107825892125*n^7 - 369268621312/61012753381125*n^8 + 21431886020608/4122718907038875*n^9 - 131710776246272/51946258228689825*n^10 + 18575217393664/25808394680215875*n^11 - 3164393701376/30141656009239775*n^12 + 14365663428608/3192696948055628475*n^13 + 1212658841288704/6999262445669225515875*n^14 + 1834384359424/100642989414851608725*n^15 + 610225094656/207525301623615850875*n^16 + 164609601568768/267207136896431021164875*n^17 + 251045778817024/1620431584570754204374125*n^18) * eps^11
-        + (8192/1003917915 - 1048576/6718527585*n + 6314524672/13537833083775*n^2 - 189792256/727840488375*n^3 - 28491907072/67689165418875*n^4 - 326575849472/500899824099675*n^5 + 180915011584/49107825892125*n^6 - 24383142756352/6040262584731375*n^7 - 145899963547648/259731291143449125*n^8 + 461865768452096/86577097047816375*n^9 - 14004622345633792/2441474136748421775*n^10 + 3512761381289984/1109760971249282625*n^11 - 5214964780367872/5321161580092714125*n^12 + 129418252933660672/846064691234741545875*n^13 - 41050864514760704/5922452838643190821125*n^14 - 1436339103858688/5132792460157432044975*n^15 - 12667925961900032/412956484294484305436625*n^16 - 83652980966948864/16299635350682292291057375*n^17) * eps^12
-        - (937984/48522699225 + 35913728/13537833083775*n - 122159104/4512611027925*n^2 - 736362496/2051186830875*n^3 + 1751018110976/2504499120498375*n^4 + 52370341888/500899824099675*n^5 - 495914057728/1801481823516375*n^6 - 1636748754944/650955616900875*n^7 + 5727152242688/1242733450447125*n^8 - 91166448287744/71388132653462625*n^9 - 3851787754274816/899490471433629075*n^10 + 13822108124315648/2316869396116923375*n^11 - 717165187245801472/192962122562309475375*n^12 + 1293029046747136/1035574897472143875*n^13 - 207432010174038016/999894635095603645125*n^14 + 2995763339444092928/302834755149288490653525*n^15 + 939434993543806976/2252795129769097308520125*n^16) * eps^13
-        + (606208/65400159825 - 13631488/148767396525*n + 216006656/1327238537625*n^2 + 13716422656/834833040166125*n^3 + 182775185408/2504499120498375*n^4 - 15302162120704/20536892788086675*n^5 + 86374671712256/210258664258982625*n^6 + 553624010752/1006022317028625*n^7 + 123755061837824/91784741983023375*n^8 - 54365938253824/12188217770103375*n^9 + 40612998252855296/15291338014371694275*n^10 + 380996869807931392/122794077994196938875*n^11 - 123568266508500992/20780536275941020425*n^12 + 706765068528779264/169212938246948309175*n^13 - 2440372655440789504/1610252154285475845375*n^14 + 41420770302229479424/155234622387450402771975*n^15) * eps^14
-        - (1243136/180504441117 + 101318656/13537833083775*n + 72173748224/2504499120498375*n^2 - 26437353472/119261862880875*n^3 + 2168374951936/14669209134347625*n^4 + 72842321199104/883086389887727025*n^5 + 774414801829888/1471810649812878375*n^6 - 4627044041621504/5929294332103310025*n^7 - 992466414075904/2466344841027692625*n^8 - 11629158270631936/25485563357286157125*n^9 + 3172029662252761088/810440914761699796575*n^10 - 14495633009888854016/4052204573808498982875*n^11 - 49622588403021774848/25663962300787160224875*n^12 + 2005821013245790650368/349424717479948258446375*n^13 - 3394298700190297358336/746883560543393447299125*n^14) * eps^15
-        + (782336/100280245065 - 5467799552/100179964819935*n + 160890355712/2504499120498375*n^2 + 273797349376/34228154646811125*n^3 + 75710926422016/490603549937626125*n^4 - 23330738929664/80280580898884275*n^5 - 29193338355712/483741961826610375*n^6 - 9256022006300672/37248131060648998875*n^7 + 14381676595511296/15620183993175386625*n^8 + 769074433359872/10470812852218343625*n^9 - 87967869218848768/810440914761699796575*n^10 - 246744717810779815936/76991886902361480674625*n^11 + 414848533771432493056/100944918383096163551175*n^12 + 3642053818971149828096/4262981553255368753045775*n^13) * eps^16
-        - (24430592/9595782070875 + 1219100672/278277680055375*n + 105279913984/2933841826869525*n^2 - 175938815000576/1471810649812878375*n^3 + 5660664659968/191975302149505875*n^4 - 4267311104/74709183293685*n^5 + 162669271973888/483741961826610375*n^6 - 6997871323119616/111744393181946996625*n^7 + 9176096709804032/257497949506225687875*n^8 - 2742583007248384/3125558677479863625*n^9 + 184000164420386816/669494668716186788475*n^10 + 25825509353978724352/65833642423758367533375*n^11 + 474430975810962194432/191231056564250496168375*n^12) * eps^17
-        + (16384/2645652625 - 4459593728/131142354968625*n + 683694620672/23362073806553625*n^2 - 4708587536384/490603549937626125*n^3 + 4981810735874048/41505060324723170175*n^4 - 4141263468101632/41505060324723170175*n^5 - 128620429312/61488978258849141*n^6 - 846813328864968704/2851551366754128913875*n^7 + 1788171473911808/8804103705244308825*n^8 + 1326028891881472/17711499172385893875*n^9 + 9596814579755646976/13166728484751673506675*n^10 - 750111204931779166208/1338617395949753473178625*n^11) * eps^18
-        - (2904064/3461235175125 + 2958819328/1637164237834125*n + 4705547190272/152256274118573625*n^2 - 146247378010112/2231454856167912375*n^3 + 262034852675584/23058366847068427875*n^4 - 3520094671732736/41505060324723170175*n^5 + 192477728515555328/1222093442894626677375*n^6 + 197600147073138688/25663962300787160224875*n^7 + 16561239183333523456/76991886902361480674625*n^8 - 60789556653064192/195251292810630877275*n^9 - 4137720727496818688/43809296594719204576755*n^10) * eps^19
-        + (34512896/7087291072875 - 9907994624/446499337591125*n + 3823108096/246887869020975*n^2 - 25192398061568/1517948914697294625*n^3 + 3534351694299136/44020518526221544125*n^4 - 204278900719616/5404835865381641325*n^5 + 18176218480246784/407364480964875559125*n^6 - 49000957506224128/268264414293942441375*n^7 + 632282024639463424/24291557899675547378625*n^8 - 46549976629564669952/362214118904050939801275*n^9) * eps^20
-        - (2117632/16664711441625 + 26093551616/86939799590957625*n + 103808499187712/4260050179956923625*n^2 - 53918297227264/1420016726652307875*n^3 + 78919969518125056/6999262445669225515875*n^4 - 224942358339518464/3079675476094459226985*n^5 + 368415416516608/5142048146821711125*n^6 - 17484436828061696/931035320196623767125*n^7 + 410932027851051892736/2328519335811756041579625*n^8) * eps^21
-        + (25772032/6694371262875 - 133717557248/8856653180783625*n + 1545601024/163766200744125*n^2 - 101307837841408/5789298962505562875*n^3 + 911117337493504/17367896887516688625*n^4 - 4578636945424384/236898113545727632845*n^5 + 373748610906456064/6851465048626436440125*n^6 - 5893247183635873792/59705623995173231835375*n^7) * eps^22
-        + (383798272/2232164622799125 + 134230114304/274556248604292375*n - 1587412992/84540195648671*n^2 + 4215981839024128/179468267837672449125*n^3 - 6728033666596864/538404803513017347375*n^4 + 45351317263679488/822175805835172372815*n^5 - 14952491409948934144/417939367966212622847625*n^6) * eps^23
-        + (31922176/10382161036275 - 756217020416/70982835005012175*n + 83513311232/12911695808365125*n^2 - 77487943712768/4850493725342498625*n^3 + 35707127975641088/1024705916363484628875*n^4 - 154170794895474688/11072679359104853904015*n^5) * eps^24
-        + (95460352/330152720953545 + 15683878912/18158399652444975*n - 1152264568832/79674610719911625*n^2 + 16279305360441344/1049323475915760535875*n^3 - 7264491379390939136/576078588277752534195375*n^4) * eps^25
-        + (319913984/128782976258475 - 140867796992/18158399652444975*n + 8628023066624/1785575965823755875*n^2 - 21496495314305024/1561188586118570553375*n^3) * eps^26
-        + (89350144/275963520553875 + 38433980416/37990977996250125*n - 5437096198144/484089484067773815*n^2) * eps^27
-        + (648134656/319251915934875 - 48446308352/8346157230868875*n) * eps^28
-        + 13087612928/40785938165944125 * eps^29;
-C4[8] = + (16384/35334585 - 131072/82447365*n + 262144/111546435*n^2 - 393216/185910725*n^3 + 524288/386122275*n^4 - 131072/203591745*n^5 + 262144/1168767425*n^6 - 917504/16529710725*n^7 + 1048576/115707975075*n^8 - 393216/475688341975*n^9 + 262144/11131107202215*n^10 + 131072/207443361495825*n^11 + 524288/10902301109725025*n^12 + 131072/22643240766351975*n^13 + 1835008/1976431444034436675*n^14 + 131072/717371413019906645*n^15 + 2097152/49889920996384416675*n^16 + 131072/11964551189178163275*n^17 + 786432/248596785819590725825*n^18 + 131072/131610063080959796025*n^19 + 524288/1552998744355325593095*n^20 + 131072/1074069426368195704975*n^21) * eps^8
-        - (32768/247342095 - 524288/632096465*n + 1048576/451497475*n^2 - 19398656/5019589575*n^3 + 2097152/490128275*n^4 - 3670016/1101980715*n^5 + 646971392/347123925225*n^6 - 524288/701260455*n^7 + 297795584/1427065025925*n^8 - 100139008/2650263619575*n^9 + 573571072/152125131763605*n^10 - 345505792/2973354848106825*n^11 - 140509184/42051732851796525*n^12 - 31981568/118248035113171425*n^13 - 370147328/10760571195298599675*n^14 - 173539328/29933952597830650005*n^15 - 1652555776/1385039235280576901025*n^16 - 163053568/570310273350825782775*n^17 - 1048576/13559824681068585045*n^18 - 145227776/6285947298581079781575*n^19 - 236978176/31577641135224953726265*n^20) * eps^9
-        - (327680/1137773637 - 2097152/1896289395*n + 4194304/2585849175*n^2 - 140509184/274961962275*n^3 - 746586112/347123925225*n^4 + 4011851776/902522205585*n^5 - 180355072/38569325025*n^6 + 593494016/186138916425*n^7 - 16492003328/11131107202215*n^8 + 824180736/1773020183725*n^9 - 1819459715072/19624141997505045*n^10 + 1029701632/102529477520925*n^11 - 510757175296/1537224456471228525*n^12 - 140509184/13821198909331725*n^13 - 1431352377344/1646367392880685750275*n^14 - 225198473216/1939054929392807661435*n^15 - 8623489024/421533680302784274225*n^16 - 2097152/478582047567126531*n^17 - 7159676928/6574956369780209886475*n^18 - 2451870580736/8052298489482363200197575*n^19) * eps^10
-        - (32768/3160482325 + 524288/4491211725*n - 2245001216/2474657660475*n^2 + 1357381632/568254722035*n^3 - 222103076864/76714387474725*n^4 + 252182528/347123925225*n^5 + 3595567104/1236789689135*n^6 - 825139658752/166966608033225*n^7 + 2229746532352/526586994566325*n^8 - 24933922504704/10902301109725025*n^9 + 236428469469184/294362129962575675*n^10 - 220538009550848/1257729100749186975*n^11 + 1499084095488/73201164593868025*n^12 - 13072994926592/18091949372315228025*n^13 - 2040474989756416/87257471822676344764575*n^14 - 6790939410432/3231758215654679435725*n^15 - 25599422758912/87257471822676344764575*n^16 - 20380647424/379017215455930526475*n^17 - 10682977222656/894699832164707022244175*n^18) * eps^11
-        - (4390912/85333022775 - 30932992/353522522925*n - 974127104/6974035224975*n^2 + 1518862336/10959198210675*n^3 + 7400849408/5901106728825*n^4 - 488389476352/149391175608675*n^5 + 25309478912/8787716212275*n^6 + 52781645824/72059272940655*n^7 - 66496793411584/15492743682240825*n^8 + 523779964928/108340864910775*n^9 - 2218114952462336/728158953065318775*n^10 + 110526137368576/92674775844676935*n^11 - 24551725073432576/86650915414772934225*n^12 + 1139122395152384/32115374244636122475*n^13 - 243837663444992/183699940679318620557*n^14 - 3944412899442688/87257471822676344764575*n^15 - 21872702478352384/5148190837537904341109925*n^16 - 79756985368576/129181259189556628880175*n^17) * eps^12
-        + (3178496/824885886825 - 8159494144/76714387474725*n + 28228714496/76714387474725*n^2 - 7773618176/25571462491575*n^3 - 918323986432/2838432336564825*n^4 - 73427058688/2838432336564825*n^5 + 368816685056/157052261537325*n^6 - 72769601536/19245644325765*n^7 + 676461543424/534232540766925*n^8 + 9767632764928/3152203260023025*n^9 - 25415227305623552/5097112671457231425*n^10 + 135017417670656/36638864868825765*n^11 - 66304019129171968/41373860513360049675*n^12 + 145615781360041984/353269116690997347225*n^13 - 137176212422262784/2493070623505038421845*n^14 + 3729769993966452736/1716063612512634780369975*n^15 + 1058897908499218432/13653897438687485426421975*n^16) * eps^13
-        - (425787392/25571462491575 - 312475648/76714387474725*n - 3149922304/76714387474725*n^2 - 266338304/1220831112501*n^3 + 133689245696/218340948966525*n^4 - 706671017984/6125038199955675*n^5 - 169910302932992/333610413957585765*n^6 - 42284273893376/37625234656870575*n^7 + 2678029734117376/728158953065318775*n^8 - 50720495632384/18670742386290225*n^9 - 147754295071080448/86650915414772934225*n^10 + 1991354095820079104/417499865180269592175*n^11 - 6383204028028813312/1530832838994321837975*n^12 + 13477708903179354112/6712113217128949597275*n^13 - 21544372591302541312/38708201785999280760225*n^14 + 8255721773950736269312/104679880363270721602568475*n^15) * eps^14
-        + (17530880/3068575498989 - 148373504/2191839642135*n + 404992557056/2838432336564825*n^2 - 20048248832/2838432336564825*n^3 - 3228475326464/116375725799157825*n^4 - 5795679305728/10998145515085245*n^5 + 170148181835776/294362129962575675*n^6 + 465493530509312/1083849501567271725*n^7 + 208517906563072/1333091006381122065*n^8 - 260996618389028864/86650915414772934225*n^9 + 3267061749675720704/918499703396593102785*n^10 + 94463949577650176/270146971587233265525*n^11 - 374414914557426270208/87257471822676344764575*n^12 + 48107557630944739328/10703099454340757465925*n^13 - 107256596269866972872704/44862805869973166401100775*n^14) * eps^15
-        - (2392064/370600905675 + 13398966272/2838432336564825*n + 969408512/113537293462593*n^2 - 65784774656/391837460603225*n^3 + 65613878788096/384935093027983575*n^4 + 491445762654208/5004156209363786475*n^5 + 167957703950336/670072198974638075*n^6 - 27991057629184/35524164265415595*n^7 - 274682871808/4774307409778725*n^8 + 31849951526912/81267337633079675*n^9 + 85896645649629184/39934769712895352295*n^10 - 14718170769933991936/3793803122725058468025*n^11 + 6913119271458439168/8290162379288090726425*n^12 + 93498692521370058752/25617068365267327254075*n^13) * eps^16
-        + (18907136/3625073226775 - 4455923712/105127123576475*n + 2328359862272/38791908599719275*n^2 + 17735090176/1630549432832775*n^3 + 10321999691776/122052590472287475*n^4 - 1564119174479872/5736471752197511325*n^5 - 12271672623104/26132815760010884925*n^6 - 1687898088275968/548789130960228583425*n^7 + 85790295270096896/114963730991668438425*n^8 - 48612562263605248/140511226767594758075*n^9 - 144303099260960768/252920208181670564535*n^10 - 32925506590743199744/24870487137864272179275*n^11 + 5803202512319846285312/1517099715409720602935775*n^12) * eps^17
-        - (2818048/1052440614225 + 2097152/556196266395*n + 34830175698944/1668052069787928825*n^2 - 817174151168/8136839364819165*n^3 + 9693923228254208/235195341840097964325*n^4 + 1509699878912/12378702202110419175*n^5 + 20629029027577856/78398447280032654775*n^6 - 1502359475323928576/9695274646964038307175*n^7 - 77656474062422016/646351643130935887145*n^8 - 15703217037901824/28102245353518951615*n^9 + 3216346923887755264/4974097427572854435855*n^10 + 151253870568701689856/303419943081944120587155*n^11) * eps^18
-        + (5668864/1307577732825 - 35127296/1285830078225*n + 1102053376/39315814688475*n^2 - 557695107072/8710938586670294975*n^3 + 137507511468032/1606212090615303171*n^4 - 182280443123990528/1646367392880685750275*n^5 - 5069564455944192/190103424450275260925*n^6 - 1757120135666597888/9695274646964038307175*n^7 + 8143172317497786368/29085823940892114921525*n^8 + 4608940312331026432/38134746944725217341555*n^9 + 27362078865048469504/82750893567802941978315*n^10) * eps^19
-        - (30605312/27952275991419 + 2339897344/1128841915038075*n + 158625682161664/7586946510970902075*n^2 - 2136205134659584/36585942064015238895*n^3 + 18482688723779584/1646367392880685750275*n^4 - 8057707396857856/183699940679318620557*n^5 + 1468225245085171712/9695274646964038307175*n^6 - 45659846177456128/12465353117525192109225*n^7 + 3630426979762700288/43262107878469784379075*n^8 - 46360400310384984064/136836444919308132813815*n^9) * eps^20
-        + (199327744/56660018901525 - 1799016153088/98531772869751975*n + 10114609184768/689722410088263825*n^2 - 35751973093376/4828056870617846775*n^3 + 509942296483987456/7932497438425122251325*n^4 - 3839901122350809088/87257471822676344764575*n^5 + 820897336077058048/87257471822676344764575*n^6 - 6551724376476614656/43262107878469784379075*n^7 + 1594219615901188096/25479889743595307489469*n^8) * eps^21
-        - (3604480/9407823081427 + 3482423656448/4045128729436574325*n + 2660096597295104/149669762989153250025*n^2 - 92190363168538624/2644165812808374083775*n^3 + 179628626935808/27639363896951645475*n^4 - 616136831697682432/12465353117525192109225*n^5 + 7747397749250719744/100944918383096163551175*n^6 + 3997177385754558464/2638988580586656847123575*n^7) * eps^22
-        + (248348672/87234019741575 - 3932568420352/311163748418198025*n + 20285863493632/2355954095166356475*n^2 - 50564857069568/4960911468683628675*n^3 + 943092251230208/21041107263727114725*n^4 - 19962886927941632/1012825268057821038975*n^5 + 13369059142137806848/473664617028374305893975*n^6) * eps^23
-        - (9158656/176496737616675 + 51089113088/402236065028402325*n + 2603006914985984/181408465327809448575*n^2 - 790244020584448/36281693065561889715*n^3 + 3890695479230464/568170272325119119425*n^4 - 77002004121387008/1824125611149066646575*n^5) * eps^24
-        + (96272384/41574787083039 - 185838075904/20579519606104305*n + 2264108367872/402236065028402325*n^2 - 733824970391552/69954898394384035725*n^3 + 40925748722139136/1324318593741959848725*n^4) * eps^25
-        + (223215616/2189310596394075 + 9760145408/34299199343507175*n - 64667779072/5668495129599225*n^2 + 297990161956864/20815847814914274045*n^3) * eps^26
-        + (34930688/18397568036925 - 1867513856/281414651824075*n + 9746486657024/2420447420338869075*n^2) * eps^27
-        + (80084992/472492835583615 + 407322492928/816625117500347925*n) * eps^28
-        + 474546176/302118060488475 * eps^29;
-C4[9] = + (32768/92147055 - 524288/423876453*n + 1048576/557732175*n^2 - 524288/295269975*n^3 + 2097152/1712565855*n^4 - 524288/816762177*n^5 + 1048576/4083810885*n^6 - 524288/6806351475*n^7 + 4194304/251835004575*n^8 - 524288/218257003965*n^9 + 1048576/5369122297539*n^10 - 524288/104941935815535*n^11 - 2097152/17315419409563275*n^12 - 524288/62601900942267225*n^13 - 1048576/1139354597149263495*n^14 - 524288/3873805630307495883*n^15 - 8388608/342186164010495469665*n^16 - 524288/100642989414851608725*n^17 - 1048576/833530399512745374825*n^18 - 524288/1552998744355325593095*n^19 - 2097152/21175594643621439557613*n^20) * eps^9
-        - (65536/706460755 - 2097152/3532303775*n + 4194304/2445441075*n^2 - 2097152/703227525*n^3 + 310378496/88482569175*n^4 - 10485760/3539302767*n^5 + 4194304/2268783825*n^6 - 216006656/251835004575*n^7 + 16777216/57436053675*n^8 - 1050673152/14914228604275*n^9 + 20971520/1877010234099*n^10 - 2097152/2124330684525*n^11 + 2457862144/90424968027719325*n^12 + 2097152/2981042902012725*n^13 + 1665138688/32281713585895799025*n^14 + 10485760/1754800841079463947*n^15 + 33554432/36402783405371858475*n^16 + 2097152/12026520747686670225*n^17 + 8216641536/213105938808758567496925*n^18 + 1524629504/157888205676124768631325*n^19) * eps^10
-        - (2326528/10596911325 - 82313216/95372201925*n + 221249536/162693756225*n^2 - 2214068224/3175541093725*n^3 - 5773459456/4512611027925*n^4 + 38273024/11541204675*n^5 - 1439694848/363761673275*n^6 + 30220484608/9821565178425*n^7 - 675505242112/402684172315425*n^8 + 416099598336/641311829983825*n^9 - 3008871006208/17315419409563275*n^10 + 2228015857664/73984064749952175*n^11 - 606058053632/210991592064678425*n^12 + 629970305024/7449626212129799775*n^13 + 11919585968128/5132792460157432044975*n^14 + 286785536/1597507768489708075*n^15 + 2127007055872/97523056742991208854525*n^16 + 1188855021568/338462373402145960142175*n^17 + 390595608576/565194011623229244230975*n^18) * eps^11
-        - (131072/13624600275 + 180355072/2765793855825*n - 52856619008/85739609530575*n^2 + 153607995392/85739609530575*n^3 - 214295379968/85739609530575*n^4 + 9030336512/7259417740575*n^5 + 15695085568/9821565178425*n^6 - 1529423593472/402684172315425*n^7 + 6129622974464/1574129037233025*n^8 - 6244047781888/2473631344223325*n^9 + 901962769891328/813824712249473925*n^10 - 169940577419264/517888453249665225*n^11 + 5983846365396992/96845140757687397075*n^12 - 2497185367195648/394830189242879388075*n^13 + 1016145951850496/5132792460157432044975*n^14 + 79944201797632/13931865248998744122075*n^15 + 2678152291680256/5753860347836481322416975*n^16 + 1219100030271488/20646204777530903568672675*n^17) * eps^12
-        - (38371328/921931285275 - 7124549632/85739609530575*n - 7777288192/85739609530575*n^2 + 5844238336/28579869843525*n^3 + 2206377967616/3172365552631275*n^4 - 7741853138944/3172365552631275*n^5 + 588422053888/207443361495825*n^6 - 1226503094272/2473631344223325*n^7 - 47695532130304/17315419409563275*n^8 + 1124341091139584/271274904083157975*n^9 - 18477597873668096/5696772985746317475*n^10 + 2032671912361984/1257729100749186975*n^11 - 901293789562273792/1710930820052477348325*n^12 + 42334411434754048/394830189242879388075*n^13 - 163252679692255232/13931865248998744122075*n^14 + 744321399983177728/1917953449278827107472325*n^15 + 4148491175365443584/350985481218025360667435475*n^16) * eps^13
-        + (3997696/2598169985775 - 903872512/12248515647225*n + 1463812096/5043506442975*n^2 - 330303537152/1057455184210425*n^3 - 644840685568/3172365552631275*n^4 + 33686114271232/130066987657882275*n^5 + 364877893861376/266327641394711325*n^6 - 3230396317696/1025652020775525*n^7 + 250926233288704/116260673178496275*n^8 + 8017412096/6166319734575*n^9 - 375725184457375744/96845140757687397075*n^10 + 1749781404081717248/466617496377948367725*n^11 - 3629731902618861568/1710930820052477348325*n^12 + 812820766249713664/1071681942230672624775*n^13 - 136540391127453270016/821980049690925903202425*n^14 + 18969171985216569344/983152608453852550889175*n^15) * eps^14
-        - (245137408/17147921906115 - 716701696/85739609530575*n - 136481603584/3172365552631275*n^2 - 391995981824/3172365552631275*n^3 + 66031785607168/130066987657882275*n^4 - 59127928193024/223715218771557513*n^5 - 115604364197888/243168716056040775*n^6 - 446272603947008/1632704236376273775*n^7 + 1557731995549696/601522613401785075*n^8 - 64333349912576/20742159082820175*n^9 + 1510914246311936/8926595582882490513*n^10 + 103393420971081728/31880698510294608975*n^11 - 17039762398700896256/4240132901869182993675*n^12 + 49758510742429499392/19243680093098599740525*n^13 - 2203163010064352018432/2180034044832455656319475*n^14) * eps^15
-        + (11272192/3175541093725 - 160750895104/3172365552631275*n + 391966097408/3172365552631275*n^2 - 1484783616/52937316914075*n^3 - 1645274464256/22643240766351975*n^4 - 271039707742208/798982924184133975*n^5 + 1203213663469568/1947150978196889465*n^6 + 14046369685700608/80002507582437414975*n^7 - 2400351256838144/6154039044802878075*n^8 - 555325673439232/330614651217870019*n^9 + 150633156104421376/44632977914412452565*n^10 - 1199924118397386752/848026580373836598735*n^11 - 22180222633385132032/9265475600380807282475*n^12 + 681703202986871750656/167694926525573512024575*n^13) * eps^16
-        - (645431296/109391915607975 + 2509766656/1057455184210425*n - 119882645504/43355662552627425*n^2 - 77087334989824/621431163254326425*n^3 + 989579437932544/5592880469288937825*n^4 + 18971230665703424/262865382056580077775*n^5 + 361546193567744/5841452934590668395*n^6 - 4303816224145408/6456342717179159805*n^7 + 24826556685746176/94225175597092955415*n^8 + 1074863049015296/1847552462688097165*n^9 + 74487682881814528/94225175597092955415*n^10 - 10560014891117707264/3335571216137090621691*n^11 + 8338801317940035584/3569646389199342595143*n^12) * eps^17
-        + (12517376/3528771471225 - 16569597952/498340948880775*n + 34373491490816/621431163254326425*n^2 + 14185784147968/1864293489762979275*n^3 + 9593926155501568/262865382056580077775*n^4 - 433933481381199872/1840057674396060544425*n^5 + 8370378225221632/122670511626404036295*n^6 + 745576811380867072/6501537116199413923635*n^7 + 3198014784708542464/6501537116199413923635*n^8 - 18857274447495168/31408391865697651805*n^9 - 7451675099423309824/16677856080685453108455*n^10 - 21739933006661943296/203469844184362527923151*n^11) * eps^18
-        - (1007255552/381428116298775 + 175928508416/60138499669773525*n + 2279485734912/207143721084775475*n^2 - 804978403311616/9735754890984447325*n^3 + 95773494987456512/1840057674396060544425*n^4 + 50744948926447616/1840057674396060544425*n^5 + 26469016886312960/144478602582209198303*n^6 - 307334446787854336/1413377633956394331225*n^7 - 1485100810906894336/10835895193665689872725*n^8 - 251158947597647872/1039541164920773499985*n^9 + 12178767189407432704/16148400332092264120885*n^10) * eps^19
-        + (804651008/260339825410275 - 10372513792/468611685738495*n + 1906369888256/71256541625529975*n^2 + 788413234020352/204450852710673393825*n^3 + 602924036128768/10514615282263203111*n^4 - 2206517246069571584/19504611348598241770905*n^5 - 240955790435811328/10835895193665689872725*n^6 - 1142671088526819328/13931865248998744122075*n^7 + 194173652701282304/654666099423880000275*n^8 + 789891485725097984/16269664915311980747575*n^9) * eps^20
-        - (2371059712/1963103007823425 + 6706906529792/3413836130604936075*n + 329029822447616/23896852914234552525*n^2 - 94227876046962688/1840057674396060544425*n^3 + 1433188842334060544/97523056742991208854525*n^4 - 137127157376221184/8865732431181018986775*n^5 + 1854149531196719104/13931865248998744122075*n^6 - 7709842757648384/231348170473100451225*n^7 - 12929216601344966656/2949457825361557652667525*n^8) * eps^21
-        + (6121127936/2365790804300025 - 9780355661824/645860889573906825*n + 337309337649152/23896852914234552525*n^2 - 6056167547600896/2955244143727006328925*n^3 + 254426069598208/5127664795362069975*n^4 - 4848317375375736832/97523056742991208854525*n^5 - 29396030701174784/3639380359162859786475*n^6 - 326650603128022368256/2949457825361557652667525*n^7) * eps^22
-        - (1494646784/2827408522212225 + 371029704704/347771248232103675*n + 180777085042688/14094964119524672475*n^2 - 1032434305585381376/32507685580997069618175*n^3 + 533652355533504512/97523056742991208854525*n^4 - 1457447658973560832/48351767628877994306025*n^5 + 528841186136871141376/6882068259176967856224225*n^6) * eps^23
-        + (13631488/6363259989975 - 165322686464/15501998449370475*n + 1654857408708608/202750637719316442525*n^2 - 1083196489859072/202750637719316442525*n^3 + 16533872472953454592/442604642141267794032075*n^4 - 11374232737209647104/509412890011647838414275*n^5) * eps^24
-        - (133758976/696989077568595 + 3012558848/6764893988165775*n + 10799600893952/989027501069836305*n^2 - 5380229842337792/265828613898659335755*n^3 + 2984159999753715712/729699545151819876647475*n^4) * eps^25
-        + (482213888/271875172101225 - 32879149056/4259377696252525*n + 11694399029248/2261729556710090775*n^2 - 13001758565466112/1977505542416856034275*n^3) * eps^26
-        - (92864512/4311163443319425 + 13999538176/254358643155846075*n + 6558828537577472/729246229927810697025*n^2) * eps^27
-        + (7357595648/4987424375604825 - 82988498944/14487280329137825*n) * eps^28
-        + 1104084992/17220729447843075 * eps^29;
-C4[10] = + (131072/468495027 - 1048576/1064761425*n + 2097152/1368978975*n^2 - 1048576/696498075*n^3 + 4194304/3810254175*n^4 - 1048576/1676511837*n^5 + 2097152/7522809525*n^6 - 1048576/10844569575*n^7 + 8388608/328951943775*n^8 - 1048576/214079836425*n^9 + 2097152/3313955867859*n^10 - 11534336/248546690089425*n^11 + 4194304/3893898144734325*n^12 + 1048576/44031002098149675*n^13 + 2097152/1390121637670154025*n^14 + 1048576/6876468367675028577*n^15 + 16777216/810440914761699796575*n^16 + 1048576/301928968244554826175*n^17 + 2097152/3058936920699883743975*n^18 + 1048576/6799013641555612046325*n^19) * eps^10
-        - (262144/3904125225 - 4194304/9582852825*n + 360710144/277902731925*n^2 - 960495616/410237366175*n^3 + 687865856/237505843575*n^4 - 255852544/97796523825*n^5 + 6450839552/3618471381525*n^6 - 205520896/221539064175*n^7 + 14864613376/40461089084325*n^8 - 7000293376/64438030763925*n^9 + 5729419264/248546690089425*n^10 - 37971034112/11681694434202975*n^11 + 1694498816/6579345141102825*n^12 - 532676608/83169670629838275*n^13 - 8388608/55688924260406775*n^14 - 19079888896/1891028801110632858675*n^15 - 115628572672/107788641663306072944475*n^16 - 281018368/1842807840665041525275*n^17 - 54769221632/2052546673789621992207225*n^18) * eps^11
-        - (262144/1527701175 - 2097152/3053876175*n + 9844031488/8614984689675*n^2 - 24006098944/31588277195475*n^3 - 67436019712/94764831586425*n^4 + 41307602944/16776549132525*n^5 - 4194304/1270084725*n^6 + 14032044032/4890900878325*n^7 - 4864671219712/2734013590983675*n^8 + 15122563072/18707815383075*n^9 - 21874415239168/81771861039420825*n^10 + 35727997927424/572403027275945775*n^11 - 55423533056/5802535160221275*n^12 + 148618870784/182819967237017775*n^13 - 1342592516096/62341608827823061275*n^14 - 2750890901504/5132792460157432044975*n^15 - 21836318375936/578139078012278027611275*n^16 - 212753973248/50597537673958335271575*n^17) * eps^12
-        - (262144/30878081325 + 306184192/8614984689675*n - 13480493056/31588277195475*n^2 + 42828038144/31588277195475*n^3 - 255500222464/120906854093025*n^4 + 5103004155904/3506298768697725*n^5 + 1764870848512/2522074552922925*n^6 - 2563134980096/911337863661225*n^7 + 65528014045184/19138095136885725*n^8 - 258819959554048/99943385714847675*n^9 + 775812835966976/572403027275945775*n^10 - 180518863765504/360401906062632525*n^11 + 21996665896435712/171911709191875714425*n^12 - 9225991050231808/436391261794761428925*n^13 + 29608309069709312/15398377380472296134925*n^14 - 114470959603253248/2119843286045019434574675*n^15 - 61008813821526016/43103480149582061836351725*n^16) * eps^13
-        - (10878976/319073507025 - 558891008/7289602429725*n - 1700790272/31588277195475*n^2 + 22818062336/106251477839325*n^3 + 174269136896/500899824099675*n^4 - 53224669184/29906022366675*n^5 + 20868585488384/8144406757857825*n^6 - 61644734464/51815196261675*n^7 - 5434802962432/3555298306061775*n^8 + 14461527130112/4345364596297725*n^9 - 476807490961408/150125338149511725*n^10 + 4796701484253184/2491474046259068325*n^11 - 5015812205182976/6324511040503788825*n^12 + 1694502243794944/7670151687419488575*n^13 - 570392634720256/14538161742456761325*n^14 + 21341862944190758912/5622193062988964587350225*n^15) * eps^14
-        + (524288/1858133952675 - 4924112896/94764831586425*n + 804786274304/3506298768697725*n^2 - 351306514432/1168766256232575*n^3 - 13920760758272/143758249516606725*n^4 + 88386392031232/247264189168563567*n^5 + 62856661827584/89588474336436075*n^6 - 4404285865459712/1804567840205355225*n^7 + 1625213007560704/664840783233551925*n^8 + 4974444544/549909663551325*n^9 - 650529587855360/240639932272827087*n^10 + 852519184033120256/246655930579647764175*n^11 - 3820296696273829888/1562154227004435839775*n^12 + 23851902951906869248/21269330629214241818475*n^13 - 22104299820019613696/65121927370528547343825*n^14) * eps^15
-        - (1164443648/94764831586425 - 5465178112/500899824099675*n - 138923737088/3506298768697725*n^2 - 981144174592/15973138835178525*n^3 + 7859572047872/19378071251454825*n^4 - 711065948127232/2060534909738029725*n^5 - 944472426807296/2767004021648211345*n^6 + 8403040600064/45934454114318133*n^7 + 823118570455040/505278995257499463*n^8 - 68153245696/23584672156045*n^9 + 9360719917088768/7047312302275650405*n^10 + 330730366828544000/187458507240532300773*n^11 - 63248384131625648128/18433419878652342909345*n^12 + 35425062558380326912/12356468270305416675495*n^13) * eps^16
-        + (6815744/3100175745975 - 134544883712/3506298768697725*n + 391362117632/3686108961964275*n^2 - 1431121690624/32706903329175075*n^3 - 403223609344/4722387111699075*n^4 - 18764645921718272/96845140757687397075*n^5 + 78114179466133504/135583197060762355905*n^6 - 8136706490368/128840542027965495*n^7 - 56016360077000704/104143615133629055985*n^8 - 1141393774870528/1653073256089350095*n^9 + 1292681288351744/479924493703359705*n^10 - 276681095183859712/121539032166938524677*n^11 - 161296335454236311552/224887722519558583494009*n^12) * eps^17
-        - (602537984/113106411893475 + 649068544/1228702987321425*n - 111067267072/12798353476633725*n^2 - 8775330168832/98120709987525225*n^3 + 7115549582557184/41505060324723170175*n^4 + 3469524564180992/107039366100601859925*n^5 - 2252269552664576/45194399020254118635*n^6 - 56513104184344576/114062054670165156555*n^7 + 1109330446304411648/2395303148073468287655*n^8 + 22222807760896/49805650470410835*n^9 - 36414339734831104/877781898983444900445*n^10 - 22778537759673942016/10708939167598027785429*n^11) * eps^18
-        + (2883584/1180892000925 - 749643759616/28486657738313775*n + 2341788975104/46478231046722475*n^2 + 2676389576704/1257729100749186975*n^3 + 3670594293858304/677915985303811779525*n^4 - 35364246288072704/184886177810130485325*n^5 + 11426772662878208/93323499275589673545*n^6 + 315463962248347648/2199768197210328019275*n^7 + 117185833223585792/466617496377948367725*n^8 - 1011849117514596352/1519600921896071279265*n^9 - 142458605834042605568/1124438612597792917470045*n^10) * eps^19
-        - (5780537344/2293730882825265 + 11108614144/5352038726592285*n + 21118836539392/4611673369413685575*n^2 - 45338866405605376/677915985303811779525*n^3 + 24220595910606848/406749591182287067715*n^4 + 13456242259263488/378205760222126571735*n^5 + 3987380822507257856/35929547221102024314825*n^6 - 3711602295908073472/15398377380472296134925*n^7 - 1052474648635113472/12899654884655290676925*n^8 - 291969534449942528/29143664739406397455275*n^9) * eps^20
-        + (230948864/103321210938075 - 749090111488/41463596727995175*n + 14228899495936/561964066292189925*n^2 + 3116570150699008/677915985303811779525*n^3 + 3800113671217086464/107788641663306072944475*n^4 - 11642532714023747584/107788641663306072944475*n^5 - 4973179734851584/1159017652293613687575*n^6 - 23012225673330688/2137657095171448169319*n^7 + 241570468447970656256/912779579638208368299213*n^8) * eps^21
-        - (462553088/373545916468425 + 52551483392/31036793320485225*n + 5880600854528/677238746557254525*n^2 - 144514017752252416/3266322474645638574075*n^3 + 2057594272357548032/107788641663306072944475*n^4 + 22438675829751808/9798967423936915722225*n^5 + 1223011637475147776/11336060353181922110025*n^6 - 69134393521856315392/1086642356712152819403825*n^7) * eps^22
-        + (287309824/148810974853275 - 40835743744/3230073512991675*n + 171677157687296/12611283685890496425*n^2 + 4062868639055872/5132792460157432044975*n^3 + 3966011997937467392/107788641663306072944475*n^4 - 25918257887241568256/489194604471927561824925*n^5 - 239035500430102626304/18472920064106597929865025*n^6) * eps^23
-        - (2097152/3460720345425 + 3338665984/3086210217609225*n + 291547312553984/32013258587260490925*n^2 - 3969582603698176/138724120544795460675*n^3 + 5811037897687564288/908504265447865471960575*n^4 - 314980684348453289984/20417437965591502975113975*n^5) * eps^24
-        + (299892736/183418178307525 - 5670699008/626151712153275*n + 1229233061888/156162237011026785*n^2 - 25599716360192/11447165191808296755*n^3 + 388102326440689664/12801746406172278537675*n^4) * eps^25
-        - (1325662208/4764970121563575 + 131707437056/223953595713488025*n + 6957566001152/843399711516752775*n^2 - 648601731057319936/34658386611832266284925*n^3) * eps^26
-        + (729284608/529441124618175 - 622359216128/93711079057416975*n + 1318364018376704/268669663657614467325*n^2) * eps^27
-        - (1705508864/16537249245426525 + 4212251426816/17149127467507306425*n) * eps^28
-        + 7370964992/6344479270257975 * eps^29;
-C4[11] = + (262144/1166167275 - 8388608/10495505475*n + 16777216/13233463425*n^2 - 8388608/6511704225*n^3 + 33554432/33929406225*n^4 - 8388608/13970931975*n^5 + 16777216/57436053675*n^6 - 8388608/73846354725*n^7 + 67108864/1926718527825*n^8 - 25165824/3068477655425*n^9 + 16777216/11835556670925*n^10 - 92274688/556271163533475*n^11 + 33554432/3028587445904475*n^12 - 8388608/35644144555644975*n^13 - 16777216/3508402228405626825*n^14 - 8388608/30016330176359251725*n^15 - 134217728/5132792460157432044975*n^16 - 8388608/2544829875204104963475*n^17 - 50331648/97740317799505809152725*n^18) * eps^11
-        - (524288/10495505475 - 33554432/101456552925*n + 3154116608/3145153140675*n^2 - 8422162432/4512611027925*n^3 + 402653184/167133741775*n^4 - 2248146944/976412912475*n^5 + 67108864/39763421775*n^6 - 33554432/34801155675*n^7 + 130728067072/303779287887075*n^8 - 12314476544/82848896696475*n^9 + 50398756864/1297966048244775*n^10 - 66806874112/9085762337713425*n^11 + 432315301888/463373879223384675*n^12 - 14059307008/209904406827687075*n^13 + 6509559808/4288047168051321675*n^14 + 167872823296/5132792460157432044975*n^15 + 203474075648/100944918383096163551175*n^16 + 71705821184/362214118904050939801275*n^17) * eps^12
-        - (13893632/101456552925 - 209715200/377418376881*n + 100143202304/103790053642275*n^2 - 847249408/1116022082175*n^3 - 56807653376/166966608033225*n^4 + 303692775424/166966608033225*n^5 - 327877132288/120098788234425*n^6 + 340233551872/130191123380175*n^7 - 1644771147776/911337863661225*n^8 + 13324355895296/14277626530692525*n^9 - 9906258182144/27257287013140275*n^10 + 6952620916736/66196268460483525*n^11 - 177590824337408/8186271866279795925*n^12 + 61708773097472/20780536275941020425*n^13 - 167166217289728/733256065736776006425*n^14 + 553770928832512/100944918383096163551175*n^15 + 2304156941418496/18472920064106597929865025*n^16) * eps^13
-        - (23068672/3145153140675 + 268435456/14827150520325*n - 1073741824/3578967366975*n^2 + 120527519744/116370666204975*n^3 - 6792490778624/3840231984764175*n^4 + 930665725952/622330084487475*n^5 + 7516192768/74958525582525*n^6 - 268435456/133949591325*n^7 + 4294967296/1475520327675*n^8 - 36025917243392/14277626530692525*n^9 + 7782640727883776/5097112671457231425*n^10 - 969285803442176/1444636211696434575*n^11 + 19262771556253696/90048990529077755175*n^12 - 2707075742302208/56404312748982769725*n^13 + 676791282827264/95924851171773357825*n^14 - 507232968603860992/879662860195552282374525*n^15) * eps^14
-        - (195559424/6919336909485 - 7230980096/103790053642275*n - 3590324224/132421792578075*n^2 + 768782368768/3840231984764175*n^3 + 15233712128/112867033243965*n^4 - 751199846400/590006883585119*n^5 + 129850383794176/58872425992515135*n^6 - 40231411646464/26352419253792489*n^7 - 341315682304/557976209245455*n^8 + 8519923269632/3386785828210785*n^9 - 10523692446515200/3601959621163110207*n^10 + 599531481726976/285869811203421445*n^11 - 62880043025563648/60385793648910965235*n^12 + 189132496728752128/517666248118441864365*n^13 - 5202387650333376512/58644190679703485491635*n^14) * eps^15
-        - (1048576/2661283426725 + 10938744832/295402460366475*n - 19998441472/109720913850405*n^2 + 14616780341248/52483170458443725*n^3 + 278904438784/19854337211552025*n^4 - 2439370095198208/6770328989139240525*n^5 - 1901239885365248/7071232499767651215*n^6 + 13414323716096/7492854217229199*n^7 - 46041636559388672/19369028151537479415*n^8 + 1655979603132416/2001088678423950115*n^9 + 88115990755278848/54029394317446653105*n^10 - 3016160029834215424/1026558492031486408995*n^11 + 440601082733789184/172555416039480621455*n^12 - 408103109306259341312/284198770217024583536385*n^13) * eps^16
-        - (447217664/42200351480925 - 15720251392/1280077328254725*n - 1793585053696/52483170458443725*n^2 - 48544689946624/2256776329713080175*n^3 + 193959179583488/615484453558112775*n^4 - 17041511862501376/45457923212792043525*n^5 - 1340168745254912/7071232499767651215*n^6 + 1915907735552/5005422944521545*n^7 + 1984009542303744/2236510875885591305*n^8 - 91383922335678464/38020684890055052185*n^9 + 217388623232761856/114062054670165156555*n^10 + 1205183727169175552/2243220408513248078915*n^11 - 1073322175445659025408/410509334757924398441445*n^12) * eps^17
-        + (165675008/123878451121425 - 4622190116864/157449511375331175*n + 614939458797568/6770328989139240525*n^2 - 11825387143168/218397709327072275*n^3 - 5151446051848192/63641092497908860935*n^4 - 4826842355728384/54327761888458783725*n^5 + 121985894142967808/247493137491867792525*n^6 - 9299663088083009536/39351408861206979011475*n^7 - 3754773200299360256/7870281772241395802295*n^8 - 315887059992576/5431526412865007455*n^9 + 38068651355990392832/20188983676619232710235*n^10 - 3051858507355257831424/1231528004273773195324335*n^11) * eps^18
-        - (68442914816/14313591943211925 - 84196458496/98120709987525225*n - 25683753435136/2256776329713080175*n^2 - 604695332651008/9642589772410433475*n^3 + 353014314325508096/2227438237426810132725*n^4 - 80709003771904/11911434424742300175*n^5 - 124062850418212864/1192466935188090273075*n^6 - 1194565469995008/3677358084403978975*n^7 + 7413082615709696/13706516496414830725*n^8 + 360655275281088512/1779105841234645028105*n^9 - 6125829954174189568/14155494301997393049705*n^10) * eps^19
-        + (1985478656/1172351340110691 - 369199415296/17585270101660365*n + 2067731675348992/45457923212792043525*n^2 - 2675726071365632/742479412475603377575*n^3 - 135473603280896/10264692338372396925*n^4 - 3462210456242880512/23610845316724187406885*n^5 + 40055605280374784/257198750726843000075*n^6 + 2039759270643236864/16864889511945848147775*n^7 + 935494308843225088/14128193445098651693775*n^8 - 72049578521657344/120450007009226799905*n^9) * eps^20
-        - (61731504128/26140266367332975 + 5430390554624/4132538473890185775*n + 2777619103744/5785553863446260085*n^2 - 39529633695137792/742479412475603377575*n^3 + 85969920990380032/1356945133145068241775*n^4 + 1267388178910674944/39351408861206979011475*n^5 + 178954570188193792/3372977902389169629555*n^6 - 4539444203519737856/19510362376564804719975*n^7 - 13768334851964928/4265706469428147268525*n^8) * eps^21
-        + (51497664512/31502372288837175 - 11603927891968/781831603168413525*n + 687018673700864/28927769317231300425*n^2 + 451808010960896/123358648467733476525*n^3 + 315883222439297024/16864889511945848147775*n^4 - 11534590875170504704/118054226583620937034425*n^5 + 39818830423294738432/2321733122811211761677025*n^6 + 9511520652935299072/296081645626795646262645*n^7) * eps^22
-        - (15328083968/12549725545959525 + 575324291072/420986247859914975*n + 1473387591368704/290059524775481417775*n^2 - 1484013735931543552/39351408861206979011475*n^3 + 2722552774796509184/118054226583620937034425*n^4 + 2014794043929657344/169882911425210616708075*n^5 + 1634232174940323315712/20232245784497702494614075*n^6) * eps^23
-        + (348127232/238789703834325 - 213943058432/20155619816238025*n + 213938226593792/16362332166822028695*n^2 + 6461637905088512/3190654772530295595525*n^3 + 60410836325136072704/2321733122811211761677025*n^4 - 7569155107689462759424/141625720491483917462298525*n^5) * eps^24
-        - (20004732928/31217773947940755 + 5140337655808/5150932701410224575*n + 1398502957514752/221490106160639656725*n^2 - 137966723012755456/5411965321238255854725*n^3 + 692499587030337978368/84975432294890350477379115*n^4) * eps^25
-        + (5125439488/4059048622072675 - 4424890056704/572325855712247175*n + 51535312584704/6753445097404516665*n^2 - 10447444596752384/29523810817486745353825*n^3) * eps^26
-        - (573046784/1739592266602575 + 2801795072/4462432336067475*n + 1814487552229376/294257250672625368975*n^2) * eps^27
-        + (70254592/64918370480425 - 5136982212608/894398938214666775*n) * eps^28
-        - 133782044672/854691993121895775 * eps^29;
-C4[12] = + (2097152/11408158125 - 16777216/25448968125*n + 33554432/31556720475*n^2 - 16777216/15092344575*n^3 + 67108864/75461722875*n^4 - 16777216/29390355225*n^5 + 33554432/112374887625*n^6 - 16777216/131639154075*n^7 + 134217728/3047952721275*n^8 - 16777216/1385433055125*n^9 + 33554432/13023070718175*n^10 - 184549376/455807475136125*n^11 + 67108864/1549745415462825*n^12 - 218103808/82136507019529725*n^13 + 33554432/645358269439162125*n^14 + 16777216/17166529967081712525*n^15 + 268435456/5064126340289105194875*n^16 + 16777216/3634255373619240198675*n^17) * eps^12
-        - (4194304/110278861875 - 67108864/262972670625*n + 134217728/170158786875*n^2 - 872415232/578539875375*n^3 + 268435456/132956368875*n^4 - 4898947072/2419805913525*n^5 + 41204842496/26108432224875*n^6 - 9193914368/9434139375375*n^7 + 31675383808/66038975627625*n^8 - 1543503872/8232975741375*n^9 + 1744830464/30387165009075*n^10 - 738197504/54955511186625*n^11 + 314337918976/136894178365882875*n^12 - 398693761024/1505835962024711625*n^13 + 71001178112/4087269039781360125*n^14 - 7180648448/19859318981525902725*n^15 - 13958643712/1942840923003996332625*n^16) * eps^13
-        - (67108864/603290244375 - 3959422976/8678098130625*n + 7113539584/8678098130625*n^2 - 4093640704/5633151418125*n^3 - 27111981056/278277680055375*n^4 + 132405788672/99212042454525*n^5 - 47840969621504/21330589127722875*n^6 + 12952010752/5530357564875*n^7 - 5504537460736/3103831854498375*n^8 + 3169350320128/3103831854498375*n^9 - 858590806016/1894133285565675*n^10 + 2349682655232/15210464262875875*n^11 - 322390982656/8139653848782225*n^12 + 41969279565824/5722176655693904175*n^13 - 218880525991936/241148873347100247375*n^14 + 1306280681537536/20594113783842361125825*n^15) * eps^14
-        - (54525952/8678098130625 + 67108864/8678098130625*n - 9797894144/45869947261875*n^2 + 3333095948288/4174165200830625*n^3 - 204279382016/138575524885875*n^4 + 424884404486144/294362129962575675*n^5 - 18405142822912/63991767383168625*n^6 - 20177018159104/14815827916300125*n^7 + 533664182042624/221613594411183975*n^8 - 201738439098368/85235997850455375*n^9 + 2721633399734272/1677931500541821525*n^10 - 3710043685912576/4517507886074134875*n^11 + 621105152786432/1996108135707175875*n^12 - 441490659916906496/5064126340289105194875*n^13 + 768849625137283072/44130243822519345269625*n^14) * eps^15
-        - (29360128/1239728304375 - 20166213632/321089630833125*n - 34158411776/4174165200830625*n^2 + 20367540224/115713842619375*n^3 + 145894670336/19624141997505045*n^4 - 48704828473344/54511505548625125*n^5 + 14158386065047552/7686122282356142625*n^6 - 675825217175552/412809636648283875*n^7 + 270735679422464/7017763823020825875*n^8 + 19077338759168/10714760539858375*n^9 - 117763506962432/46060864720755885*n^10 + 795676952773001216/371941482620103771375*n^11 - 3778958784987136/3041517321494958075*n^12 + 3591058194887081984/6864704594614120375275*n^13) * eps^16
-        - (4194304/5633151418125 + 111199387648/4174165200830625*n - 1310099243008/9007409117581875*n^2 + 9516238241792/37738734610586625*n^3 - 335643372683264/7359053249064391875*n^4 - 22046090417143808/69175100541205283625*n^5 - 136217706364928/38430611411780713125*n^6 + 201471972012457984/161408567929478995125*n^7 - 791337814187835392/371941482620103771375*n^8 + 53952165240111104/41326831402233752375*n^9 + 4257445253742592/5722176655693904175*n^10 - 1374618086908362752/593095877691516824625*n^11 + 1102596198475294048256/446205798649917824392875*n^12) * eps^17
-        - (38319161344/4174165200830625 - 733969645568/57046924411351875*n - 201192374272/7110196375907625*n^2 + 77779173376/22783446591530625*n^3 + 1923744574472192/8043616342000614375*n^4 - 5134140219326464/13835020108241056725*n^5 - 73618021154816/1325193496957955625*n^6 + 12436689368645632/28920399257141266875*n^7 + 11914712262377472/32776452491426769125*n^8 - 2836087701504/1540608812758015*n^9 + 6146994640781312/2967484445515364775*n^10 - 1130662023437221888/3077281369999433271675*n^11) * eps^18
-        + (809500672/1037216807479125 - 33355856871424/1471810649812878375*n + 65364033536/843057996226875*n^2 - 364693793275904/6067991275544323125*n^3 - 165619962893828096/2421128518942184926875*n^4 - 449830111412224/25485563357286157125*n^5 + 5641720934655066112/14257756833770644569375*n^6 - 499918004516028416/1474940362114204610625*n^7 - 486984838402801664/1474940362114204610625*n^8 + 786107394424832/2750797577516613625*n^9 + 10606783160177917952/9231844109998299815025*n^10) * eps^19
-        - (10592714752/2473631344223325 - 2744769314816/1471810649812878375*n - 145531712045056/11926741472621600625*n^2 - 62140576694272/1464687549269319375*n^3 + 12704342603726848/89671426627488330625*n^4 - 7144092454617088/182013917026859292375*n^5 - 1709258891583291392/14257756833770644569375*n^6 - 35423917799636992/197111845628165593125*n^7 + 87349623902961664/165126150597225943125*n^8 - 7274724790894592/223837670809572945125*n^9) * eps^20
-        + (117440512/99695905291125 - 166726067027968/9882157220172183375*n + 43686796722176/1070821989801939375*n^2 - 163178960912384/18768438131334766875*n^3 - 174335826732253184/7548224206113870654375*n^4 - 2725675759334064128/25663962300787160224875*n^5 + 750779530699866112/4424821086342613831875*n^6 + 81652953558166798336/1081552696961744609476875*n^7 - 18791673242996178944/346453864668165752623125*n^8) * eps^21
-        - (224948912128/102725127028816875 + 1906697043968/2845039387711145625*n - 994752543588352/484225703788436985375*n^2 - 3193548971180032/76517478535441741875*n^3 + 2736885148577431552/42773270501311933708125*n^4 + 39548874636918784/1710930820052477348325*n^5 + 2478501459553943552/229420269052491280798125*n^6 - 4479132491550602297344/21991571504888807059363125*n^7) * eps^22
-        + (2902458368/2407236357920625 - 663840882688/54123991660344375*n + 3649770329473024/165147762553327929375*n^2 + 16748683190075392/8554654100262386741625*n^3 + 5156555989188608/750408254408981293125*n^4 - 14223212158493130752/168241530638493605918625*n^5 + 5623976056189811163136/153941000534221649415541875*n^6) * eps^23
-        - (124436611072/105638488544098125 + 10877407330304/10467396321391288125*n + 584845428260864/229552435606325225625*n^2 - 214471771993145344/6753674289680831638125*n^3 + 3034186506932584448/116474905826649419482125*n^4 + 1440843898823037157376/92364600320532989649325125*n^5) * eps^24
-        + (20954742784/18851312770495625 - 16716281151488/1866279964279066875*n + 1001681399578624/80250038463999875625*n^2 + 48918012396306432/21569427004935077681875*n^3 + 233305107083558912/13509521766934765196625*n^4) * eps^25
-        - (8589934592/13236028115454375 + 539823702016/622093321426355625*n + 22135724572672/5243357994879283125*n^2 - 721163988242530304/32091098714659505819375*n^3) * eps^26
-        + (16777216/17034785219375 - 5177851510784/780925658811808125*n + 570623449366528/77203926338394961875*n^2) * eps^27
-        - (96162807808/269058420262891875 + 169771903483904/279013581812618874375*n) * eps^28
-        + 17725128704/20644734133379125 * eps^29;
-C4[13] = + (4194304/27484885575 - 67108864/121718778975*n + 134217728/148767396525*n^2 - 67108864/69424785045*n^3 + 268435456/335050049565*n^4 - 67108864/124447161267*n^5 + 134217728/447573123855*n^6 - 469762048/3396290175135*n^7 + 536870912/10188870525405*n^8 - 67108864/4092965082855*n^9 + 134217728/32818138209801*n^10 - 738197504/929847249277695*n^11 + 268435456/2346757343415135*n^12 - 872415232/77442992332699455*n^13 + 134217728/210202407760184235*n^14 - 67108864/5787572960330405937*n^15 - 1073741824/5295629258702321432355*n^16) * eps^13
-        - (8388608/284010484275 - 268435456/1338906568725*n + 536870912/852031452825*n^2 - 15837691904/12843585233325*n^3 + 56908316672/33393321606645*n^4 - 21206401024/11905445094543*n^5 + 535260299264/365667242189535*n^6 - 167235289088/173210798931885*n^7 + 49392123904/95775382938807*n^8 - 52881784832/237019887070785*n^9 + 476204498944/6136991845232787*n^10 - 3156532527104/147845712635153505*n^11 + 817117528064/180700315442965395*n^12 - 3489660928/4954265502765285*n^13 + 102542344192/1377993561983429985*n^14 - 1586721980416/353041950580154762157*n^15) * eps^14
-        - (171966464/1874469196215 - 3556769792/9372345981075*n + 243068305408/346776801299775*n^2 - 32950452224/48474176525775*n^3 + 19058917376/315952196739795*n^4 + 34250552246272/35323455595509081*n^5 - 14085747900416/7679012085980235*n^6 + 64179360759808/30935448689234661*n^7 - 679288269438976/398904469940131155*n^8 + 3663003123712/3409439914018215*n^9 - 2248062789484544/4228387381365390243*n^10 + 336487132430336/1626302838986688555*n^11 - 645641764077568/10299917980249027515*n^12 + 8774655565365248/607695160834692623385*n^13 - 1832502691889152/756518465528903061765*n^14) * eps^15
-        - (16777216/3124115327025 + 536870912/346776801299775*n - 46170898432/300539894459805*n^2 + 5905580032/9509288217975*n^3 - 9754744755060736/7947777508989543225*n^4 + 3564488385101824/2649259169663181075*n^5 - 257937482186752/488294827349684355*n^6 - 2181820300918784/2526394976287497315*n^7 + 1340283199422464/689016811714771995*n^8 - 1013098496393216/469820820151710027*n^9 + 34875738960166912/21141936906826951215*n^10 - 274679801577472/291718809898120605*n^11 + 249518931822247936/607695160834692623385*n^12 - 15207870067304824832/111208214432748750079455*n^13) * eps^16
-        - (6949961728/346776801299775 - 28252831744/500899824099675*n + 131130720256/26404576441825725*n^2 + 2771797409792/18526287899742525*n^3 - 525786406715392/7947777508989543225*n^4 - 1127691377967104/1840125827204475525*n^5 + 431369469558784/286241795342918415*n^6 - 9685634637627392/6011077702201286715*n^7 + 39917962919936/83949174760650381*n^8 + 253937189912576/219866886277893855*n^9 - 761094108872704/355169585525828535*n^10 + 339072536111218688/163449043258986291807*n^11 - 3279870352129261568/2373902771142419952435*n^12) * eps^17
-        - (1367343104/1502699472299025 + 3567238774784/184832035092780075*n - 132465918214144/1135396786998506175*n^2 + 16112301375488/71601599180085975*n^3 - 6424649378299904/74709108584501706315*n^4 - 97291441461526528/373545542922508531575*n^5 + 12455942029312/84188763336152475*n^6 + 27848647672594432/33892246618794488925*n^7 - 30246214112903168/16767743064035168205*n^8 + 66986725867520/43973377255578771*n^9 + 52142753567473664/817245216294931459035*n^10 - 260303992792285184/154340427845172814245*n^11) * eps^18
-        - (1476978016256/184832035092780075 - 34286388379648/2649259169663181075*n - 180670617878528/7947777508989543225*n^2 + 61736732327936/3365275161464040825*n^3 + 66288410624524288/373545542922508531575*n^4 - 129772872452276224/373545542922508531575*n^5 + 385471838420992/7884473825126623725*n^6 + 882496258441216/2234131263791502075*n^7 + 35024921427968/1557121789915289325*n^8 - 88175242312155136/67371469443668184795*n^9 + 353258965091483648/178680853741902577065*n^10) * eps^19
-        + (6308233216/15138623826646749 - 28033251540992/1589555501797908645*n + 2745111167369216/41505060324723170175*n^2 - 1883871440273408/30055388511006433575*n^3 - 138534565269471232/2614818800457559721025*n^4 + 36477384878194688/1319860918326196811565*n^5 + 20047764876427264/66659642339706909675*n^6 - 81615489704394752/212880793278418840575*n^7 - 806526138712064/4835272926579056325*n^8 + 40776148925284352/95573479908459517965*n^9) * eps^20
-        - (117658615808/30686399648608275 - 137275476279296/53363648988929790225*n - 113666846359552/9508432001663853531*n^2 - 23743407872540672/871606266819186573675*n^3 + 5706074921671589888/46195132141416888404775*n^4 - 94257108270186496/1490165552948931884025*n^5 - 49559085925793792/439953639442065603855*n^6 - 26648109036760727552/389358970906228059411675*n^7 + 355114185834643849216/766157975009029407229425*n^8) * eps^21
-        + (1778384896/2175355631198475 - 56733296754688/4157104611220285725*n + 95240944885956608/2614818800457559721025*n^2 - 27553288945664/2149710649235277975*n^3 - 24604832551665664/905786904733664478525*n^4 - 3321420989153148928/46195132141416888404775*n^5 + 153260985824307052544/908504265447865471960575*n^6 + 39586202742075424768/1583393148351994108274145*n^7) * eps^22
-        - (582454607872/288579494587524525 + 29103503704064/201139907727504593925*n - 512589851262976/144812326462121907225*n^2 - 495843902356455424/15398377380472296134925*n^3 + 2873676414538743808/46195132141416888404775*n^4 + 3616386677989179392/302834755149288490653525*n^5 - 954646975949855260672/55418760192319793789595075*n^6) * eps^23
-        + (11341398016/12676618625291775 - 28490665558016/2795807791649027925*n + 2074293110308864/101527762948168985505*n^2 + 487478788096/45156531907543390425*n^3 - 263322391923392512/209654830487968955067825*n^4 - 21704426226697895936/308453210717920930183275*n^5) * eps^24
-        - (1957280350208/1746838046565206595 + 1484716507136/2015582361421392225*n + 9798431014912/12381434505874266525*n^2 - 168009336415584256/6353176681453604699025*n^3 + 928284064644245487616/33251256115391876273757045*n^4) * eps^25
-        + (2785017856/3260242714754025 - 5101347405824/671860787140464075*n + 281627448049664/23783871864772428255*n^2 + 200888040405598208/103975159835496798854775*n^3) * eps^26
-        - (24041750528/37532941992020475 + 24928795492352/34579388172186863775*n + 9096895888621568/3418589858264128911825*n^2) * eps^27
-        + (75027709952/96861031294641075 - 245770913579008/43047809765375483475*n) * eps^28
-        - 5320214577152/14381121797311898475 * eps^29;
-C4[14] = + (16777216/130734984825 - 134217728/287616966615*n + 268435456/347123925225*n^2 - 402653184/475688341975*n^3 + 536870912/742073813481*n^4 - 671088640/1322827232727*n^5 + 805306368/2708646238441*n^6 - 939524096/6415214775255*n^7 + 1073741824/17736182025705*n^8 - 402653184/19312731539101*n^9 + 1342177280/227295994267881*n^10 - 1476395008/1095153426927063*n^11 + 1610612736/6692604275665385*n^12 - 1744830464/54496920530418135*n^13 + 268435456/91866237465561999*n^14 - 2013265920/13075627799264991191*n^15) * eps^14
-        - (33554432/1438084833075 - 536870912/3355531277175*n + 63350767616/124154657255475*n^2 - 170188079104/166966608033225*n^3 + 19327352832/13344309803825*n^4 - 40265318400/25652473199353*n^5 + 1073741824/795175736355*n^6 - 1800128167936/1909595598100905*n^7 + 2658584756224/4924746542470755*n^8 - 1252519837696/4924746542470755*n^9 + 5127117209600/52202313350190003*n^10 - 617938419712/20077812826996155*n^11 + 517543559168/67319725361104755*n^12 - 272193552384/182985594951729185*n^13 + 1987496116224/9339734142332136565*n^14) * eps^15
-        - (33554432/437677992675 - 118916907008/372463971766425*n + 2921114632192/4842031632963525*n^2 - 41529917833216/66174432317168175*n^3 + 15828028227584/98120709987525225*n^4 + 688000073728/991118282702275*n^5 - 41783052468224/27949535572204155*n^6 + 511575970545664/280710552920833035*n^7 - 451179871993856/280710552920833035*n^8 + 3293434609664/3000132951160345*n^9 - 466469418696704/783034700252850045*n^10 + 3850775604232192/14877659304804150855*n^11 - 2019084526944256/22507228179062689755*n^12 + 33587298968797184/1372940918922824075055*n^13) * eps^16
-        - (33554432/7303215132675 - 536870912/254843770155975*n - 185757335552/1668262999592475*n^2 + 1385680466870272/2845500589638231525*n^3 - 8731481681690624/8536501768914694575*n^4 + 220686693957632/179675585821312425*n^5 - 18664854126592/27949535572204155*n^6 - 3126150465323008/6456342717179159805*n^7 + 22847709891264512/14877659304804150855*n^8 - 8552890499072/4455723062235445*n^9 + 24140837571002368/14877659304804150855*n^10 - 902189565035413504/877781898983444900445*n^11 + 1286177449842835456/2549747420856673282245*n^12) * eps^17
-        - (7532969984/440184693905775 - 3347792789504/66174432317168175*n + 628407402496/45166676026003675*n^2 + 1061963278843904/8536501768914694575*n^3 - 42469753851215872/401215583138990645025*n^4 - 5274287887876096/12942438165773891775*n^5 + 211258703872/173992581377615*n^6 - 1850811063730176/1226473706130808135*n^7 + 2759545478709248/3679421118392424405*n^8 + 14770795184128/22853547319207605*n^9 - 561234382422016/325466035959749685*n^10 + 370678562706948096/191916472537599064255*n^11) * eps^18
-        - (64156073984/66174432317168175 + 119902602002432/8536501768914694575*n - 803081574940672/8536501768914694575*n^2 + 26611905128824832/133738527712996881675*n^3 - 1091076312006656/9785745930219284025*n^4 - 80232536004886528/401215583138990645025*n^5 + 40295383171072/179333130140134971*n^6 + 27565954804219904/55191316775886366075*n^7 - 7369373605953536/5017392434171487825*n^8 + 113261581835436032/72361948661717679965*n^9 - 730314374996033536/1727248252838391578295*n^10) * eps^19
-        - (11934908809216/1707300353782938915 - 21674552459264/1707300353782938915*n - 7136169766682624/401215583138990645025*n^2 + 2271120724066304/85106335817361651975*n^3 + 2672234162290688/20803770977577292705*n^4 - 444331359809306624/1417628393757766945755*n^5 + 15332470606004224/124353367873488328575*n^6 + 1711864442519552/5317435835550513675*n^7 - 53216998439518208/296026153616117781675*n^8 - 18886946599852834816/22070394341823892389325*n^9) * eps^20
-        + (268435456/1507949438070075 - 2452426326016/177450501167178525*n + 9324812086280192/165206416586643206775*n^2 - 8403666155339776/133738527712996881675*n^3 - 797421959095779328/21264425906366504186325*n^4 + 8042800387494772736/148850981344565529304275*n^5 + 4598266951456784384/21264425906366504186325*n^6 - 19374719994788052992/50184045139024949879727*n^7 - 2122206253634551808/98749250112274901376237*n^8) * eps^21
-        - (201259483136/58563068623411275 - 503944082096128/165206416586643206775*n - 31263441683480576/2808509081972934515175*n^2 - 4250309836668928/265331517548245150275*n^3 + 127802792763981824/1210170580037118124425*n^4 - 3927713021463363584/49616993781521843101425*n^5 - 7376736415775719424/79118990084048344404975*n^6 + 247806897622756622336/25510222945671016188861225*n^7) * eps^22
-        + (58116276224/103318584481953225 - 799750827802624/72013053383921397825*n + 1608466708345913344/49616993781521843101425*n^2 - 790392194996371456/49616993781521843101425*n^3 - 454932135812268032/16538997927173947700475*n^4 - 624347071410864128/14142041705844390062725*n^5 + 28145849041027147497472/178571560619697113322028575*n^6) * eps^23
-        - (2953729540096/1593028407244999725 - 993263800549376/3630511740111354373275*n - 92005258259070976/21264425906366504186325*n^2 - 330227400669396992/13531907394960502664025*n^3 + 516170577441955250176/8782207899329366228952225*n^4 + 64371065618968870912/76530668837013048566583675*n^5) * eps^24
-        + (109655883776/164581882229990225 - 12603581530112/1481236940069912025*n + 129935645605888/6915260457354960711*n^2 - 11155084482183168/5913944713353108571685*n^3 - 1162207852366183530496/178571560619697113322028575*n^4) * eps^25
-        - (455065206784/430714287538059525 + 180582436831232/384627858771487155825*n - 9176950320922624/22693043667517742193675*n^2 - 432325319462741868544/19841284513299679258003175*n^3) * eps^26
-        + (36775657472/55670554171585925 - 3120779071848448/482830716330164727525*n + 15460645461047640064/1384275663718582273814175*n^2) * eps^27
-        - (15502416019456/24924034576467086775 + 14832869272715264/25846223855796368985675*n) * eps^28
-        + 11005853696/17940058163291825 * eps^29;
-C4[15] = + (33554432/307452619485 - 4294967296/10760841681975*n + 8589934592/12843585233325*n^2 - 4294967296/5757469242525*n^3 + 17179869184/26228470993725*n^4 - 21474836480/45112970109207*n^5 + 8589934592/29421502245135*n^6 - 30064771072/197544372217335*n^7 + 34359738368/509456538876285*n^8 - 4294967296/169818846292095*n^9 + 42949672960/5400239312088621*n^10 - 4294967296/2077015120034085*n^11 + 17179869184/39463287280647615*n^12 - 55834574848/776111316519403095*n^13 + 8589934592/966179394034358955*n^14) * eps^15
-        - (67108864/3586947227325 - 17179869184/132717047411025*n + 34359738368/82158172206825*n^2 - 1941325217792/2281876976454075*n^3 + 4191888080896/3383472758190525*n^4 - 17179869184/12393673106925*n^5 + 13159779794944/10601547975663645*n^6 - 51539607552/56606282097365*n^7 + 137438953472/248196775349985*n^8 - 17179869184/61227203084905*n^9 + 34359738368/290335446886485*n^10 - 2353642078208/57002526072046555*n^11 + 68719476736/5835423432476715*n^12 - 127526168952832/47342790307683588795*n^13) * eps^16
-        - (25803358208/398151142233075 - 468151435264/1725321616343325*n + 2843268349952/5441398943852025*n^2 - 1749413194104832/3041742009613281975*n^3 + 2869038153728/12798353476633725*n^4 + 7477538062336/15389343835640775*n^5 - 12876311953408/10601547975663645*n^6 + 3191160700928/2005698265666095*n^7 - 256083130056704/171007578216139665*n^8 + 62521838927872/57002526072046555*n^9 - 2688649527296/4170916541857065*n^10 + 238675627606016/776111316519403095*n^11 - 73356546767060992/615456273999886654335*n^12) * eps^17
-        - (1073741824/272419202580525 - 68719476736/16324196831556075*n - 740383642353664/9125226028839845925*n^2 + 184786672943104/480275054149465575*n^3 - 366345454624964608/428885623355472758475*n^4 + 15312142525792256/13835020108241056725*n^5 - 137438953472/185992069748485*n^6 - 2361269940125696/11799522896913636885*n^7 + 13962148405313536/11799522896913636885*n^8 - 6665789243392/3976920423631155*n^9 + 47061983886835712/30268341344256720705*n^10 - 1994417129603989504/1846368821999659963005*n^11) * eps^18
-        - (164550934528/11169187305801525 - 481036337152/10598404214680425*n + 60335700574208/3041742009613281975*n^2 + 2078970329694208/20423124921689178975*n^3 - 8688615760592896/69818589848565332775*n^4 - 70574146693627904/272927214862573573575*n^5 + 10019162269155328/10369277697287741505*n^6 - 26920099097083904/19665871494856061475*n^7 + 17804941544390656/19665871494856061475*n^8 + 19171565778239488/77352427879767175135*n^9 - 43066633509404672/32392435473678244965*n^10) * eps^19
-        - (9126805504/9417157924499325 + 1099511627776/107355600339292305*n - 1923595592794112/25228566079733691675*n^2 + 18691697672192/106836033005526825*n^3 - 75660693642149888/600439872697661861865*n^4 - 4587735356639543296/31823313252976078678845*n^5 + 4633891755261952/18245220303277192225*n^6 + 5232575836585984/19817731506399351525*n^7 - 12071927388468936704/10442577763768568643225*n^8 + 35301152318329716736/23592490503328988416175*n^9) * eps^20
-        - (3298803318784/536778001696461525 - 23776938950656/1940658929210283975*n - 31061203484672/2293506007248517425*n^2 + 30755676691103744/1000733121162769769775*n^3 + 4781985526162915328/53038855421626797798075*n^4 - 14610072603059027968/53038855421626797798075*n^5 + 1187972560910811136/6918111576733930147575*n^6 + 105931591945715449856/447041781410854438583775*n^7 - 581521673484192710656/2052546673789621992207225*n^8) * eps^21
-        + (13958643712/646886309736761325 - 46935402610688/4307316159954532725*n + 484197433081856/10040800546783643175*n^2 - 112187225831112704/1828926049021613717175*n^3 - 3719479336609251328/159116566264880393394225*n^4 + 10694315528765308928/159116566264880393394225*n^5 + 64983725589372338176/447041781410854438583775*n^6 - 1741649722614854189056/4812273294010962485931225*n^7) * eps^22
-        - (1476797661184/478590684439392525 - 10072883720093696/3002199363488309309325*n - 714923076222976/71256859052790144825*n^2 - 31964572545974272/4079911955509753676775*n^3 + 14137901009686495232/159116566264880393394225*n^4 - 828273098770840813568/9387877409627943210259275*n^5 - 13142314124239393783808/190886840662434845275271925*n^6) * eps^23
-        + (34091302912/89625917648992725 - 206227149684736/22695274035783824475*n + 3494935147839488/121370378539191756975*n^2 - 221792729640730624/12239735866529261030325*n^3 - 1863430041644302336/72774243485487931862475*n^4 - 4307536620664800673792/190886840662434845275271925*n^5) * eps^24
-        - (22080561086464/12983807936750746095 - 8985071583232/14981316850097014725*n - 148111053849362432/31823313252976078678845*n^2 - 3775266271680004096/208619497991732071339095*n^3 + 31015178546408587264/570947678950453176296925*n^4) * eps^25
-        + (76235669504/153472907053791325 - 2934527815057408/411153917997106959675*n + 1924007909654528/111788392450826316225*n^2 - 76026719619927506944/21209648962492760586141325*n^3) * eps^26
-        - (262261440512/264716463890811075 + 410392715067392/1707197201241669978225*n - 2623596372082819072/2194101616809595922704275*n^2) * eps^27
-        + (4558570913792/8880977837591720575 - 152607815888797696/27628722052747842708825*n) * eps^28
-        - 54965112406016/91993525147884048975 * eps^29;
-C4[16] = + (1073741824/11455089532425 - 8589934592/24931665452925*n + 17179869184/29464695535275*n^2 - 8589934592/12989812010175*n^3 + 34359738368/57782267217675*n^4 - 8589934592/19260755739225*n^5 + 17179869184/60350367982905*n^6 - 8589934592/55102509897435*n^7 + 68719476736/936742668256395*n^8 - 8589934592/290335446886485*n^9 + 17179869184/1690777014221295*n^10 - 8589934592/2920433024564055*n^11 + 34359738368/48599000844668505*n^12 - 111669149696/808510650415848765*n^13) * eps^16
-        - (2147483648/141279437566575 - 34359738368/324111650888025*n + 4604204941312/13288577686409025*n^2 - 652835028992/911337863661225*n^3 + 137438953472/128898903793275*n^4 - 3332894621696/2715766559230725*n^5 + 68719476736/60350367982905*n^6 - 18794776887296/21545081369897085*n^7 + 27762668601344/49647361417588935*n^8 - 34359738368/113846357221905*n^9 + 74972949118976/546120975593478285*n^10 - 9036611190784/172305548449279245*n^11 + 643351741202432/38539007669822124465*n^12) * eps^17
-        - (304942678016/5509898065096425 - 68719476736/295301726364645*n + 86723979640832/190469613505196025*n^2 - 6665789243392/12697974233679735*n^3 + 57999238365184/221952194249856525*n^4 + 180938382245888/551300611523837175*n^5 - 35321811042304/35908468949828475*n^6 + 239212498518016/173013532212809925*n^7 - 91809220919296/66459166342063495*n^8 + 21784074125312/20226702799758455*n^9 - 2430333014245376/3580126395557246535*n^10 + 20911817807101952/59560284580634192355*n^11) * eps^18
-        - (2147483648/632789413638525 - 3058016714752/571408840515588075*n - 1168231104512/19703753121227175*n^2 + 2740292214063104/8952071834744213175*n^3 - 471827927269376/659626345717994655*n^4 + 287384886069690368/290535422273062191225*n^5 - 126580520233467904/165573950327659098225*n^6 + 73426760892416/8191814633902174275*n^7 + 7949743946727424/8971987456178571825*n^8 - 118514262413934592/82342907097816670305*n^9 + 2867242032764551168/1965489391160928347715*n^10) * eps^19
-        - (292057776128/22856353620623523 - 7765300871168/190469613505196025*n + 7284264534016/308692132232559075*n^2 + 68719476736/835916799082365*n^3 - 59394793498738688/456555663571954871925*n^4 - 20119482240335872/132848746027604123517*n^5 + 42939215642347175936/56460717061731752494725*n^6 - 948135883385602048/780562908687535748775*n^7 + 986509869987135488/1010572041655022771925*n^8 - 270217970507055104/5022917332966816888605*n^9) * eps^20
-        - (178241142784/190469613505196025 + 28621662060544/3836602214890377075*n - 238250425843712/3836602214890377075*n^2 + 373730874228736/2437749538523023725*n^3 - 22471975741209706496/169382151185195257484175*n^4 - 16232352634898481152/169382151185195257484175*n^5 + 70734537952329728/278131611141535726575*n^6 + 139064563512243126272/1427649559989502884509475*n^7 - 26056261464529829888/29571009561752012208855*n^8) * eps^21
-        - (313532612608/57755302159640085 - 44873818308608/3836602214890377075*n - 217016107532288/21740745884378803425*n^2 + 1808506343460438016/56460717061731752494725*n^3 + 209591930143637504/3456778595616229744575*n^4 - 40204026742784917504/169382151185195257484175*n^5 + 17961121261241237504/90031954233572253978075*n^6 + 121171809712218308608/784564172606843927523225*n^7) * eps^22
-        - (2147483648/26814079094227425 + 1452764097937408/168204718158088637025*n - 122625576908357632/2971616687459565920775*n^2 + 10274283326537728/174800981615268583575*n^3 + 270955536650862592/24197450169313608212025*n^4 - 714492347456237338624/9993546919926520191566325*n^5 - 17971202853986776383488/203202120705172577228515275*n^6) * eps^23
-        - (1206885810176/434637514620384075 - 31478708665581568/8914850062378697762325*n - 1921327850061824/217435367375090189325*n^2 - 2008361067347968/1026558492031486408995*n^3 + 43335953522509217792/587855701172148246562725*n^4 - 56042554411652231462912/609606362115517731685545825*n^5) * eps^24
-        + (229780750336/921431530995214239 - 309821760864256/41464418894784640755*n + 4327713982090575872/169382151185195257484175*n^2 - 2828328495191425024/144834013332268408573425*n^3 - 1522125277009729814528/67734040235057525742838425*n^4) * eps^25
-        - (98573794410496/63225886967224806825 - 47942074225393664/56460717061731752494725*n - 46815176099431972864/9993546919926520191566325*n^2 - 530028984910848458752/40640424141034515445703055*n^3) * eps^26
-        + (1007169830912/2724017805844152675 - 20291933767204864/3375058061440905164325*n + 5244397854327308288/333665222832795693314475*n^2) * eps^27
-        - (15753940041728/17017099469449942005 + 4223018003857408/88233660749097949295925*n) * eps^28
-        + 1187558457344/2967533069286582225 * eps^29;
-C4[17] = + (2147483648/26442675480375 - 34359738368/114584927081625*n + 68719476736/134228057438475*n^2 - 34359738368/58301075453075*n^3 + 137438953472/253891780198875*n^4 - 34359738368/82295956340325*n^5 + 206158430208/746759603828875*n^6 - 34359738368/217627084544415*n^7 + 274877906944/3510419494172955*n^8 - 309237645312/9193955818072025*n^9 + 68719476736/5516373490843215*n^10 - 34359738368/8702300426731275*n^11 + 412316860416/389282905755779035*n^12) * eps^17
-        - (4294967296/343754781244875 - 137438953472/1565994003448875*n + 19516331393024/67337742148301625*n^2 - 52639119179776/86577097047816375*n^3 + 549755813888/595684901368375*n^4 - 14156212207616/12993617106622425*n^5 + 357616156934144/342762658157453625*n^6 - 11407433138176/13731232715302375*n^7 + 825733232459776/1480226886709596025*n^8 - 20478404067328/64357690726504175*n^9 + 16767552323584/108488678653249895*n^10 - 192002218000384/3008095180840110725*n^11) * eps^18
-        - (672162381824/14093946031039875 - 446676598784/2219925565328625*n + 1168231104512/2927727919491375*n^2 - 504504038457344/1054957960323392125*n^3 + 56045268763672576/199387054501121111625*n^4 + 299170241970176/1433226184574654925*n^5 - 2212698431422464/2787440241206382125*n^6 + 277867204182016/232091323700110875*n^7 - 4011293296033792/3171914757234848625*n^8 + 91101719546560512/87333386315866165475*n^9 - 97236616472428544/138973997354813115495*n^10) * eps^19
-        - (8589934592/2927727919491375 - 274877906944/46618436871901125*n - 246840360435712/5696772985746317475*n^2 + 5429663295864832/22154117166791234625*n^3 - 2036694657362034688/3389579926519058897625*n^4 + 1858884660575076352/2113502777711883783225*n^5 - 15175708525948043264/19960859567278902397125*n^6 + 132330897327259648/827869751638295491125*n^7 + 7537479862869557248/11790007152641932339125*n^8 - 6483944038931103744/5327336565267836093975*n^9) * eps^20
-        - (6762426007552/606039679334714625 - 1044982722985984/28483864928731587375*n + 9552007266304/369920323749760875*n^2 + 222305823613779968/3389579926519058897625*n^3 - 34475324527869952/269336935690419972375*n^4 - 470625336426496/6264960282668182095*n^5 + 3519193123127296/5942893780988789625*n^6 - 43409782051822370816/40923615560714660899125*n^7 + 557434867142939901952/563689801433069683997625*n^8) * eps^21
-        - (442381631488/499716928574238375 + 8108898254848/1499150785722715125*n - 184992831373312/3640794765326593875*n^2 + 14573614309310464/108679816155783497625*n^3 - 34212953565691904/255544432582517953875*n^4 - 399858431600623616/7185909444220404862965*n^5 + 528521220698669056/2220661309496144389875*n^6 - 1001307509790605312/60886354858624251581625*n^7) * eps^22
-        - (2407329169408/499716928574238375 - 282471409123328/25485563357286157125*n - 34565896798208/4911763119767877555*n^2 + 119606249259008/3783571030633519125*n^3 + 14237438629117952/373488016851372394125*n^4 - 322117427598983168/1599881725316995799679*n^5 + 501588313596791619584/2368323085141871529469875*n^6) * eps^23
-        - (17179869184/118537503987377475 + 59923383713792/8714418438297847275*n - 975266813837312/27566017508901353625*n^2 + 46008514308472832/827869751638295491125*n^3 + 98201781523185664/89069045632143673721625*n^4 - 170579883200610304/2434995583254800593335*n^5) * eps^24
-        - (6444598427648/2572828300830793005 - 139397458558976/38592424512461895075*n - 196192800411222016/25663962300787160224875*n^2 + 367602162055774208/168241530638493605918625*n^3 + 18650877066060234752/308911706757635416887375*n^4) * eps^25
-        + (4294967296/27767187952228725 - 1173316345790464/190103424450275260925*n + 11436993233410850816/504724591915480817755875*n^2 - 5081081138781356032/250310569974344145391125*n^3) * eps^26
-        - (5310727061504/3714569735242026375 - 11122006791553024/10738821104584698250125*n - 22042390638362624/4867699621635467175195*n^2) * eps^27
-        + (1176821039104/4297247340770187375 - 175646982537216/34544538700609955875*n) * eps^28
-        - 602006238527488/697370271282346822875 * eps^29;
-C4[18] = + (8589934592/121132637200575 - 68719476736/261391480274925*n + 137438953472/303779287887075*n^2 - 68719476736/130191123380175*n^3 + 274877906944/556271163533475*n^4 - 68719476736/175853464600905*n^5 + 137438953472/515432568657825*n^6 - 68719476736/433617875220075*n^7 + 549755813888/6677715278389155*n^8 - 68719476736/1838791163614405*n^9 + 137438953472/9299029598849991*n^10 - 68719476736/13570354199278695*n^11) * eps^18
-        - (17179869184/1655479375074525 - 274877906944/3746611217273925*n + 549755813888/2247966730364355*n^2 - 824633720832/1586402947854725*n^3 + 80264348827648/99943385714847675*n^4 - 29961691856896/30891591948225645*n^5 + 1649267441664/1725969189601475*n^6 - 274877906944/349009509323475*n^7 + 2199023255552/3989829883314275*n^8 - 22265110462464/67438908352020205*n^9 + 224850127880192/1323561879569648719*n^10) * eps^19
-        - (1769526525952/42711367876922745 - 137438953472/784174440824775*n + 557177517375488/1584816544906870275*n^2 - 9758165696512/22411547099693115*n^3 + 210556476719104/728158953065318775*n^4 + 6389949263773696/54029394317446653105*n^5 - 1126174784749568/1765666480962308925*n^6 + 24452176529063936/23653421475379871175*n^7 - 35240447181848576/30623395201667356725*n^8 + 6613974757933056/6617809397848243595*n^9) * eps^20
-        - (17179869184/6743900191093065 - 274877906944/45280472711624865*n - 549755813888/17415566427548025*n^2 + 37220942501380096/188593168843917562725*n^3 - 5061923935373754368/9995437948727630824425*n^4 + 210619973515608064/270146971587233265525*n^5 - 540556749854212096/733256065736776006425*n^6 + 62215590579798016/233849231775512347995*n^7 + 37208280525474627584/85128663889892156358825*n^8) * eps^21
-        - (575525617664/58696909070624825 - 7490422964224/226402363558124325*n + 20753281974272/769768036097622705*n^2 + 15646943816450048/302892059052352449225*n^3 - 173465276589801472/1427919706961090117775*n^4 - 312763435504893952/14608717001986537358775*n^5 + 95646928817094656/209864695183152107175*n^6 - 266525260705169408/291246946317918204075*n^7) * eps^22
-        - (3058016714752/3697905271449363975 + 549755813888/141480246694611825*n - 11279889789353984/270146971587233265525*n^2 + 390507497523249152/3331812649575876941475*n^3 - 1085215777591656448/8257100914166303724525*n^4 - 259937076091977465856/11204885940523674154180425*n^5 + 3732761141304157536256/17525590830049849318077075*n^6) * eps^23
-        - (809755954118656/188593168843917562725 - 104456628295696384/9995437948727630824425*n - 9252940103548928/1999087589745526164885*n^2 + 520739427153084416/17264847365984089605825*n^3 + 236963197894260686848/11204885940523674154180425*n^4 - 2173497279199697698816/12896189478715926856698225*n^5) * eps^24
-        - (8211977469952/44424168661011692553 + 549755813888/100049426442396585*n - 5772652649614671872/189913321025824985664075*n^2 + 64786503302480134144/1244987326724852683797825*n^3 - 281804537728895811584/40205767198349654317941525*n^4) * eps^25
-        - (481783661461504/212668892526119804775 - 20856155030945792/5754949121994696535275*n - 324453099534024704/49799493068994107351913*n^2 + 20093572867302621184/3997064575274527037456175*n^3) * eps^26
-        + (7095285972992/82463448122372985525 - 496704377847808/97029641238005820575*n + 218039311403828903936/10849175275745144815952475*n^2) * eps^27
-        - (410444254674944/312819619211135826075 - 102777261723222016/87729180127319230317675*n) * eps^28
-        + 601295421440/2991617395646009559 * eps^29;
-C4[19] = + (17179869184/275520749478975 - 549755813888/2369478445519185*n + 1099511627776/2734013590983675*n^2 - 549755813888/1157645394380475*n^3 + 2199023255552/4862110656397995*n^4 - 549755813888/1502834202886653*n^5 + 1099511627776/4282269502849065*n^6 - 549755813888/3480662403793575*n^7 + 4398046511104/51436455522727275*n^8 - 549755813888/13487781670404041*n^9 + 5497558138880/321947484219644283*n^10) * eps^19
-        - (34359738368/3949130742531975 - 2199023255552/35542176682787775*n + 347445674377216/1670482304091025425*n^2 - 134140418588672/299830157144543025*n^3 + 8796093022208/12523618357388775*n^4 - 10995116277760/12697860004100271*n^5 + 6390361580634112/7301269502357655825*n^6 - 129742372077568/174349544044569075*n^7 + 14759844091265024/27312757882568183025*n^8 - 6955510557310976/20568867047366162525*n^9) * eps^20
-        - (17179869184/473895689103837 - 256735965085696/1670482304091025425*n + 1099511627776/3531675061503225*n^2 - 26276678636404736/66262464728944008525*n^3 + 234554417506942976/810440914761699796575*n^4 + 1092364802195456/21903808507072967475*n^5 - 70701896200880128/138724120544795460675*n^6 + 3123725178895335424/3507738476632685219925*n^7 - 50355798566745669632/48316268694263115771225*n^8) * eps^21
-        - (137438953472/61869714966334275 - 70368744177664/11693376128637177975*n - 35184372088832/1540987551835907175*n^2 + 4714705859903488/29511854038941449175*n^3 - 121949033659891712/284749510591948577175*n^4 + 10624202627199533056/15398377380472296134925*n^5 - 5751835595965988864/8184723112142932179825*n^6 + 455215406085308416/1345736145123231436575*n^7) * eps^22
-        - (33775622815744/3897792042879059325 - 5945059371384832/198787394186832025575*n + 6597069766656/241318671795096025*n^2 + 140795762471600128/3511910630634032451825*n^3 - 609362538252992512/5410240701247022966325*n^4 + 4538644361482600448/288062328068835393548475*n^5 + 155909009391241658368/450559025953819461704025*n^6) * eps^23
-        - (50783693307904/66262464728944008525 + 998356558020608/363301099720761977775*n - 362953186375368704/10535731891902097355475*n^2 + 6835782537139191808/66726301982046616584675*n^3 - 8847585350760005632/69884943495989651689275*n^4 + 1707339911901640392704/720443882500157319264735975*n^5) * eps^24
-        - (8097250303541248/2107146378380419471095 - 103462944662093824/10535731891902097355475*n - 535446769564123136/200178905946139849754025*n^2 + 12306584060557262848/437427979660083375388425*n^3 + 557162471658373513216/65494898409105210842248725*n^4) * eps^25
-        - (15530601742336/74721502779447498975 + 881509258313596928/200178905946139849754025*n - 14719628353967489024/562407402420107196927975*n^2 + 203822997141859598336/4213122119883960931372725*n^3) * eps^26
-        - (8392074038607872/4085283794819180607225 - 14119724364492439552/3936851816940750378495825*n - 438401893076171751424/80049320277795257696081775*n^2) * eps^27
-        + (240518168576/6628488955650844425 - 2724235770884784128/639258103371923087191425*n) * eps^28
-        - 1197385342517248/993297829878681822495 * eps^29;
-C4[20] = + (137438953472/2490990160674015 - 1099511627776/5337836058587175*n + 2199023255552/6118982798868225*n^2 - 1099511627776/2562650915765325*n^3 + 4398046511104/10596907840867425*n^4 - 1099511627776/3209349231805563*n^5 + 2199023255552/8914858977237675*n^6 - 1099511627776/7025073203261025*n^7 + 8796093022208/100046732170579425*n^8 - 9895604649984/226031506015012775*n^9) * eps^20
-        - (274877906944/37364852410110225 - 4398046511104/83626098251199075*n + 730075720843264/4097678814308754675*n^2 - 1974722883485696/5097112671457231425*n^3 + 474989023199232/769649491701519275*n^4 - 4398046511104/5673092076423975*n^5 + 1222656930086912/1524440885107642425*n^6 - 3003865767084032/4282952962921471575*n^7 + 31067800554438656/58994223069918334275*n^8) * eps^21
-        - (18691697672192/585382687758393525 - 1666859627708416/12293036442926264025*n + 57887088179150848/208981619529746488425*n^2 - 1334644388399153152/3692008611692187962175*n^3 + 4521191813414912/15890998328660780325*n^4 - 655308930154496/394830189242879388075*n^5 - 7714173580476416/19078608653013827925*n^6 + 600012291370385408/783780392214629298225*n^7) * eps^22
-        - (274877906944/141299269458922575 - 1218258883575808/208981619529746488425*n - 180610178024996864/11076025835076563886525*n^2 + 479664146640535552/3692008611692187962175*n^3 - 2637051095871913984/7256706581601886684275*n^4 + 184775141265151885312/302834755149288490653525*n^5 - 11443717021892608/17286398928081978975*n^6) * eps^23
-        - (536286796447744/69660539843248829475 - 300168873406103552/11076025835076563886525*n + 43017292925108224/1582289405010937698075*n^2 + 6426889555932086272/210444490866454713843975*n^3 - 425316984525521158144/4138741653706942705598175*n^4 + 30568622275428352/748214369811373640175*n^5) * eps^24
-        - (237219633692672/335637146517471632925 + 1614083069575168/852001987313581837425*n - 857627865758302208/30063498695207816263425*n^2 + 370804592201131098112/4138741653706942705598175*n^3 - 3142647162680895340544/26116886987185190176705725*n^4) * eps^25
-        - (38242113925677056/11076025835076563886525 - 215297570858074112/23382721207383857093775*n - 4560536737503248384/4138741653706942705598175*n^2 + 6519761472431813820416/252463240876123505041488675*n^3) * eps^26
-        - (40956808134656/186729805560296995425 + 146855171052273664/41525835990370662597975*n - 743768959490749104128/32929987940363935440194175*n^2) * eps^27
-        - (8472149408874496/4536435864494274065325 - 1836887006316068864/522698221275618022860225*n) * eps^28
-        + 549755813888/1740393633548117723175 * eps^29;
-C4[21] = + (274877906944/5598218305347525 - 4398046511104/23919660031939425*n + 8796093022208/27257287013140275*n^2 - 4398046511104/11301801932277675*n^3 + 17592186044416/46076577108516675*n^4 - 4398046511104/13698441843072525*n^5 + 8796093022208/37181485002625425*n^6 - 4398046511104/28489709287725975*n^7 + 35184372088832/392422769866419075*n^8) * eps^21
-        - (549755813888/87705420117111225 - 17592186044416/390687780521677275*n + 35184372088832/229023871340293575*n^2 - 2761973208973312/8186271866279795925*n^3 + 70368744177664/129195108363095775*n^4 - 2234207627640832/3210001538559995025*n^5 + 3764727813505024/5118651102028100175*n^6 - 4204532464615424/6372198310688043075*n^7) * eps^22
-        - (364762982514688/12892696757215350075 - 479387069710336/3985015361321108205*n + 261411088526999552/1056029070750093674325*n^2 - 1277645705615245312/3872106592750343472525*n^3 + 228698418577408/827736245792199975*n^4 - 3003865767084032/74608217578045944975*n^5 - 333714973169549312/1050254139752492917725*n^6) * eps^23
-        - (1099511627776/642744413116307775 - 5875790138834944/1056029070750093674325*n - 18929192183791616/1659474254035861488225*n^2 + 4683145478139805696/44142015157353915586785*n^3 - 4028567116287362203648/13021894471419405098101575*n^4 + 109531870615417389056/202999121583588988240275*n^5) * eps^24
-        - (1451630226571264/211205814150018734865 - 285991770477559808/11616319778251030417575*n + 841091210876551168/31530010826681368276275*n^2 + 8952412789352169472/394602862770285002972775*n^3 - 629287817602805006336/6789192844073365051146975*n^4) * eps^25
-        - (109401406963712/168352460554362759675 + 12015463068336128/9596090251598677301475*n - 13419213961564258304/566169324844321960787025*n^2 + 180572689076536213504/2302421921033575973867235*n^3) * eps^26
-        - (29879503362719744/9596090251598677301475 - 36156340367785984/4193846850698681191015*n + 1788694312159019008/11512109605167879869336175*n^2) * eps^27
-        - (2476100185751552/11101359310672979623275 + 14029979476654292992/4933761259357662801144075*n) * eps^28
-        - 1109241755926003712/651628845575540369962425 * eps^29;
-C4[22] = + (1099511627776/25032202359006375 - 8796093022208/53329474590926625*n + 17592186044416/60440071203050175*n^2 - 8796093022208/24831967238462475*n^3 + 35184372088832/99933526691373375*n^4 - 8796093022208/29211338571324525*n^5 + 17592186044416/77633737644511125*n^6 - 8796093022208/57987648934471575*n^7) * eps^22
-        - (2199023255552/408859305197104125 - 35184372088832/906601068045752625*n + 70368744177664/528020402268405375*n^2 - 35184372088832/119122926001954875*n^3 + 12525636463624192/25949405764193286375*n^4 - 35184372088832/56153124521819325*n^5 + 118289858962653184/175219345863661609125*n^6) * eps^23
-        - (525566558076928/20851824565052310375 - 5154510511013888/48049856606424889125*n + 2498090418307072/11245711120652633625*n^2 - 1009738702391345152/3347473343580933942375*n^3 + 52541456158950424576/197500927271275102600125*n^4 - 3862311669493399552/56035146807198982598175*n^5) * eps^24
-        - (24189255811072/16016618868808296375 - 2779565395017728/528548422670673780375*n - 25825329113202688/3347473343580933942375*n^2 + 1561165773953564672/17954629751934100236375*n^3 - 9549604208874704863232/36142669690643343775822875*n^4) * eps^25
-        - (3257852953100288/528548422670673780375 - 202310139510784/9022839201026776125*n + 15361127418077118464/592502781813825307800375*n^2 + 27973484562807259136/1721079509078254465515375*n^3) * eps^26
-        - (1996713116041216/3347473343580933942375 + 8584986789675008/11179297770072175618875*n - 713879932158309564416/36142669690643343775822875*n^2) * eps^27
-        - (1669577620452278272/592502781813825307800375 - 97178602390656385024/12047556563547781258607625*n) * eps^28
-        - 2014305302085632/9092495519658702836685 * eps^29;
-C4[23] = + (2199023255552/55699673461634475 - 140737488355328/946894448847786075*n + 281474976710656/1067774591253886425*n^2 - 140737488355328/435019277918250025*n^3 + 562949953421312/1729960384279552425*n^4 - 140737488355328/497891037426798015*n^5 + 281474976710656/1297921080471567475*n^6) * eps^23
-        - (4398046511104/946894448847786075 - 562949953421312/16728468596310887325*n + 21392098230009856/184013154559419760575*n^2 - 57983845202395136/223164889572062262825*n^3 + 6755399441055744/15730858404721234775*n^4 - 78250043525562368/138358387178269092835*n^5) * eps^24
-        - (226499395321856/10037081157786532395 - 140737488355328/1464295659624029925*n + 2098958901331361792/10488749809886926352775*n^2 - 56978557323073028096/206278746261109551604575*n^3 + 22721223070037573632/89241159729983564878575*n^4) * eps^25
-        - (35184372088832/26287593508488537225 - 51791395714760704/10488749809886926352775*n - 3048936947729825792/618836238783328654813725*n^2 + 21939285584735371264/306902524925065430436075*n^3) * eps^26
-        - (58221339713994752/10488749809886926352775 - 324822123124097024/15867595866239196277275*n + 314868042047701385216/12583003521927682647879075*n^2) * eps^27
-        - (22570774694985728/41255749252221910320915 + 434597364041252864/1078543159022372798389635*n) * eps^28
-        - 19316123519745523712/7549802113156609588727445 * eps^29;
-C4[24] = + (35184372088832/987187829649819525 - 281474976710656/2092838198857617393*n + 562949953421312/2349104100758550135*n^2 - 281474976710656/949637827966222395*n^3 + 1125899906842624/3735242123333808087*n^4 - 1407374883553280/5298831849380518449*n^5) * eps^24
-        - (70368744177664/17440318323813478275 - 1125899906842624/38368700312389652205*n + 2251799813685248/22091069876830405815*n^2 - 201536083324829696/877781898983444900445*n^3 + 436849163854938112/1139248847616811466535*n^4) * eps^25
-        - (11681211533492224/575530504685844783075 - 9007199254740992/104143615133629055985*n + 864691128455135232/4779034783354311124645*n^2 - 21446141425538301952/84635164389081187336455*n^3) * eps^26
-        - (70368744177664/59108538319086761505 - 595601050719748096/129033939150566400365415*n - 22195990763495489536/7871070288184550422290315*n^2) * eps^27
-        - (15058911254020096/3000789282571311636405 - 49153412233028435968/2623690096061516807430105*n) * eps^28
-        - 101260622871658496/201822315081655139033085 * eps^29;
-C4[25] = + (70368744177664/2178260166157928307 - 1125899906842624/9215716087591235145*n + 2251799813685248/10299917980249027515*n^2 - 1125899906842624/4133980685950289955*n^3 + 4503599627370496/16096137564444745995*n^4) * eps^25
-        - (140737488355328/39934769712895352295 - 4503599627370496/175098605664233467755*n + 927741523238322176/10330817734189774597545*n^2 - 58546795155816448/287359727216405038965*n^3) * eps^26
-        - (41728665297354752/2276281873635035080815 - 269090077735387136/3443605911396591532515*n + 34481810546962202624/210059960595192083483415*n^2) * eps^27
-        - (3659174697238528/3443605911396591532515 - 9007199254740992/2093620869719522426745*n) * eps^28
-        - 260856934666600448/57289080162325113677295 * eps^29;
-C4[26] = + (281474976710656/9577116718477165935 - 2251799813685248/20218357516785128085*n + 4503599627370496/22507228179062689755*n^2 - 6755399441055744/26920410174957334805*n^3) * eps^26
-        - (562949953421312/181965217651066152765 - 9007199254740992/397627697830107519005*n + 1927540640514572288/24255289567636558659305*n^2) * eps^27
-        - (178455135234555904/10735947841412903013135 - 1031324314667843584/14553173740581935195583*n) * eps^28
-        - 562949953421312/591592428478940455105 * eps^29;
-C4[27] = + (562949953421312/20981314404210981975 - 18014398509481984/176842507121206848075*n + 36028797018963968/196134416988974867865*n^2) * eps^27
-        - (1125899906842624/412632516616149312175 - 72057594037927936/3595797644797872577525*n) * eps^28
-        - 1142225455491842048/75511750540755324128025 * eps^29;
-C4[28] = + (4503599627370496/183273143743796188005 - 36028797018963968/385505578219709223045*n) * eps^28
-        - 9007199254740992/3726553922790522489435 * eps^29;
-C4[29] = + 9007199254740992/399032089736190248415 * eps^29;
-
- - diff --git a/libs/GeographicLib-1.50.1/doc/index.html.in b/libs/GeographicLib-1.50.1/doc/index.html.in deleted file mode 100644 index c7d3682d5ac5725fb73adee5ea730700930988c8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/index.html.in +++ /dev/null @@ -1,24 +0,0 @@ - - - GeographicLib-@PROJECT_VERSION@ documentation - - - -

-
- - Online documentation for GeographicLib version - @PROJECT_VERSION@ is available at -
- - https://geographiclib.sourceforge.io/@PROJECT_VERSION@/index.html. -
-
- You will be redirected there. Click on the link to go there - directly. - -
-

- - diff --git a/libs/GeographicLib-1.50.1/doc/meridian-measures.png b/libs/GeographicLib-1.50.1/doc/meridian-measures.png deleted file mode 100644 index f18deae359a0c9a6fa521373e28117e4e42fd90f..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/meridian-measures.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/normal-gravity-potential-1.svg b/libs/GeographicLib-1.50.1/doc/normal-gravity-potential-1.svg deleted file mode 100644 index e773811b4474b2cdb842db5742c3638204477a7d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/normal-gravity-potential-1.svg +++ /dev/null @@ -1,170 +0,0 @@ - - -0123R012Z diff --git a/libs/GeographicLib-1.50.1/doc/thompson-tm-graticule-a.png b/libs/GeographicLib-1.50.1/doc/thompson-tm-graticule-a.png deleted file mode 100644 index b3740ea99f336e6cf82de91a9d77019fbd665338..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/thompson-tm-graticule-a.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/thompson-tm-graticule.png b/libs/GeographicLib-1.50.1/doc/thompson-tm-graticule.png deleted file mode 100644 index ba60e4ddbe72f6d08fc2a905512afcc0f76df525..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/thompson-tm-graticule.png and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/doc/tmseries30.html b/libs/GeographicLib-1.50.1/doc/tmseries30.html deleted file mode 100644 index 75a050d8e1d80f3b4df070e1a13f360a4bbd17c6..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/tmseries30.html +++ /dev/null @@ -1,1047 +0,0 @@ - - - - Krueger's series for the transverse Mercator projection - - - -

- Krueger's series for the transverse Mercator projection -

- This extends Krueger's series for the transverse Mercator projection - given in here to 30th - order in the flattening. See -
- Louis Krueger, - - Konforme Abbildung des Erdellipsoids in der Ebene, - Royal Prussian Geodetic Institute, New Series 52, 172 pp. (1912), - DOI: - - 10.2312/GFZ.b103-krueger28 -
- and -
- Charles F. F. Karney, - - Transverse Mercator with an accuracy of a few nanometers, - J. Geodesy 85(8), 475–485 (Aug. 2011); preprint - arXiv:1002.1417; - resource page - tm.html. -
- 
-
-Krueger, p. 12, Eq. (5)
-A = a/(n + 1) * (1 + 1/4 * n^2
-                   + 1/64 * n^4
-                   + 1/256 * n^6
-                   + 25/16384 * n^8
-                   + 49/65536 * n^10
-                   + 441/1048576 * n^12
-                   + 1089/4194304 * n^14
-                   + 184041/1073741824 * n^16
-                   + 511225/4294967296 * n^18
-                   + 5909761/68719476736 * n^20
-                   + 17631601/274877906944 * n^22
-                   + 863948449/17592186044416 * n^24
-                   + 2704312009/70368744177664 * n^26
-                   + 34493775625/1125899906842624 * n^28
-                   + 111759833025/4503599627370496 * n^30);
-
-Krueger's gamma[j], p. 21, Eq. (41)
-alpha[1]
-   = 1/2 * n
-   - 2/3 * n^2
-   + 5/16 * n^3
-   + 41/180 * n^4
-   - 127/288 * n^5
-   + 7891/37800 * n^6
-   + 72161/387072 * n^7
-   - 18975107/50803200 * n^8
-   + 60193001/290304000 * n^9
-   + 134592031/1026432000 * n^10
-   - 1043934033787/3218890752000 * n^11
-   + 1107802529272207/5178390497280000 * n^12
-   + 142419537515471/2027901173760000 * n^13
-   - 20550145413484373/80782891757568000 * n^14
-   + 2101511170951245259/11421139410616320000 * n^15
-   + 6871484604164555073473/152001089131039948800000 * n^16
-   - 316612189636291463036929/1590165240140110233600000 * n^17
-   + 311760891443585845069947023/2276285401141473705984000000 * n^18
-   + 347174131720182892842402053/5544999731500337332224000000 * n^19
-   - 10268774819324130983842267351303/53283288669919616509673472000000 * n^20
-   + 464746136644252720151415143064067/3701786370752310199619420160000000 * n^21
-   + 2064362591952186950153454576839857/30080838421836438047733841920000000 * n^22
-   - 371073254699693809696179501698840034443/1863568101909611009933206974627840000000 * n^23
-   + 5346008647175289889016543194428866601311819/37129264970421612359156732460741427200000000 * n^24
-   + 6137137281591956159684411551066421423706607/167888850301036855884882616344222105600000000 * n^25
-   - 5694433253276142746311340663687118018405227/34071560796386891341343825081621544960000000 * n^26
-   + 1499618325109985269858805780437308686284756403/11441314242737326475117926447161802752000000000 * n^27
-   + 28163788993539415131077859632876464031084037436421/1310187798864261519640035449688674889891840000000000 * n^28
-   - 1382954166683887199687110280755185774160434238372379/10481502390914092157120283597509399119134720000000000 * n^29
-   + 115342138314917862218900682540434301181025997372394740949/1236751772737919661464211462733624662313402368000000000000 * n^30;
-alpha[2]
-   = 13/48 * n^2
-   - 3/5 * n^3
-   + 557/1440 * n^4
-   + 281/630 * n^5
-   - 1983433/1935360 * n^6
-   + 13769/28800 * n^7
-   + 148003883/174182400 * n^8
-   - 705286231/465696000 * n^9
-   + 1703267974087/3218890752000 * n^10
-   + 490493610499/373621248000 * n^11
-   - 1975809888712343/976396861440000 * n^12
-   + 1116592309932851/2013818526720000 * n^13
-   + 802251814098377521231/445424437014036480000 * n^14
-   - 25718419234005720100069/10254041727093964800000 * n^15
-   + 10411677743818269012186343/20672148121821433036800000 * n^16
-   + 58069234404819345427642159/24548175894662951731200000 * n^17
-   - 1619780216513490679161882727/538657116774318483701760000 * n^18
-   + 15210374203334956573188013/39416197422363181056000000 * n^19
-   + 1350424643880191120787483875017417/444214364490277223954330419200000 * n^20
-   - 363512649110052773321859331443938611/101105040251172472327105413120000000 * n^21
-   + 110501360211107135866854552436284378043/372713620381922201986641394925568000000 * n^22
-   + 435725651868235317320938241439343987241/116473006369350688120825435914240000000 * n^23
-   - 236785644303962703650496588593815148631118759/55962950100345618628294205448074035200000000 * n^24
-   + 29951219608236318375984513968969852637391/119180356695180484115811733824602112000000 * n^25
-   + 62685650245065205952020811520018086774286032497/14257637748641899145916185264924708044800000000 * n^26
-   - 4483003054643316539810052609365683886313161406697/933182192923263190626805875846634536960000000000 * n^27
-   + 1345853871818243074858148169703931833087859724988709/10481502390914092157120283597509399119134720000000000 * n^28
-   + 645835710031983279557286116276652061340439304187459/126360334379353222116394530036641089380679680000000 * n^29
-   - 6417447834385545863906095749619028053009319834823545892863/1194396760656532610281735373146342851007532236800000000000 * n^30;
-alpha[3]
-   = 61/240 * n^3
-   - 103/140 * n^4
-   + 15061/26880 * n^5
-   + 167603/181440 * n^6
-   - 67102379/29030400 * n^7
-   + 79682431/79833600 * n^8
-   + 6304945039/2128896000 * n^9
-   - 6601904925257/1307674368000 * n^10
-   + 35472608886503/41845579776000 * n^11
-   + 7660808256523559/1098446469120000 * n^12
-   - 388334559174821269/43261891706880000 * n^13
-   - 121304505560337904991/236631732163706880000 * n^14
-   + 171473290780515481554677/12620359048731033600000 * n^15
-   - 132727036454031241642633/9465269286548275200000 * n^16
-   - 30639039363651602964664613/7934763925547620761600000 * n^17
-   + 41628755176036445034328803761/1767468664415732524646400000 * n^18
-   - 62731007539014996251923219444381/3110744849371689243377664000000 * n^19
-   - 4253576948330492615223590251863457/425705432636515672956233318400000 * n^20
-   + 21109173608034038907290057857778161/560369142096606397967892480000000 * n^21
-   - 228353389351527744252835451931600005809/8319500454953620580058959708160000000 * n^22
-   - 36528815353507244513448437301156996025493/1863568101909611009933206974627840000000 * n^23
-   + 179949541301186621467483604212502389572317467/3179713073883273785698534400458752000000000 * n^24
-   - 6667459517369124611809567288843679508075480287/186543167001152062094314018160246784000000000 * n^25
-   - 236468538717455606379697014767782772375800752929/7057680450680141777849792338335891456000000000 * n^26
-   + 2724615431989937919395302944576209366322330213709/33653452487089882156338604087632199680000000000 * n^27
-   - 326200170759406656773108233662108528251650506200184011/7290019291116532045176607502113909002731520000000000 * n^28
-   - 36898523581280468039266697831389451828857036025105495411081/698722104984071577014815193290610567839406358528000000000 * n^29
-   + 48301814797856398208935403861888385264392898018206796432963809/432334302458894288277916900848565288850632684339200000000000 * n^30;
-alpha[4]
-   = 49561/161280 * n^4
-   - 179/168 * n^5
-   + 6601661/7257600 * n^6
-   + 97445/49896 * n^7
-   - 40176129013/7664025600 * n^8
-   + 138471097/66528000 * n^9
-   + 48087451385201/5230697472000 * n^10
-   - 634613396309/40864824000 * n^11
-   + 152161926556090753/1124809184378880000 * n^12
-   + 797541596189032241/27161585418240000 * n^13
-   - 670034891213941619/19612057573785600 * n^14
-   - 797738204370016183711/62444484876533760000 * n^15
-   + 1262572420740885661534720343/17264651178664053964800000 * n^16
-   - 1504688538793152003510638173/24548175894662951731200000 * n^17
-   - 4908380662744446707535585282187/97210776542865288855552000000 * n^18
-   + 21617826231307521472044305870999/139740491280368852729856000000 * n^19
-   - 9011412074161616811750466480987610329/96159344783777657891290349568000000 * n^20
-   - 5712764954291035029425456603013754181/42570543263651567295623331840000000 * n^21
-   + 13285505291912233404719867451738427771511/45538318279746133701375358402560000000 * n^22
-   - 179649231017237416866042466928297549711/1455912579616883601510317948928000000 * n^23
-   - 29884145110494866094058551866948880229303499503/101750818364264761142353100814680064000000000 * n^24
-   + 2382017529810135366707938471482990925184741/4716709930568539119450511386869760000000 * n^25
-   - 188545346993373372341522235835513997267194575937/1391079045351448234474741678280697446400000000 * n^26
-   - 77189939882994048469559094011678147843496599936029/135603037409161682387957728833964081152000000000 * n^27
-   + 5055292347375802605991447871089890508241922361424571717527/6177914279257927294560700205929359574176890880000000000 * n^28
-   - 896129405773425784164009625079521008114002654837731749413/8398102223366244916043451842435223171146711040000000000 * n^29
-   - 4583499403987764386036616357058392174411208549700462493009598039/4522881933416124861984361424261913791052772697702400000000000 * n^30;
-alpha[5]
-   = 34729/80640 * n^5
-   - 3418889/1995840 * n^6
-   + 14644087/9123840 * n^7
-   + 2605413599/622702080 * n^8
-   - 31015475399/2583060480 * n^9
-   + 5820486440369/1307674368000 * n^10
-   + 98568244458947/3678732288000 * n^11
-   - 1367520624030470251/29877743960064000 * n^12
-   - 11234223222165655787/1912175613444096000 * n^13
-   + 2982454477844692970369/27248502491578368000 * n^14
-   - 869190895988598534264203/7266267331087564800000 * n^15
-   - 2458295530839889742624897/30213139562662094438400 * n^16
-   + 20076007526718092337920372531/60426279125324188876800000 * n^17
-   - 92612134608258706595931646307/396778679766797097369600000 * n^18
-   - 3111621093870597339292256540131/8985511024872697343508480000 * n^19
-   + 618939899724538734690312503581728709/751244881123262952275705856000000 * n^20
-   - 349880405493459820104679463829848683211/1041726235157591293822312120320000000 * n^21
-   - 207806888296724735724043450497658236815707/199230142473889334943517193011200000000 * n^22
-   + 1022460523953867701806308301182024494003729/579578596287678065290231834214400000000 * n^23
-   - 383432658756943317231248322200166817451364947/1418641217578691381311653809435443200000000 * n^24
-   - 763997490849414433043000164958612268471750563033/295077373256367807312823992362572185600000000 * n^25
-   + 69453259794643484263302719504607020126095692449473/20581646784631654560069473467289409945600000000 * n^26
-   + 3526475778372639978202920400355285382983253400925713433/11591583469104547848231127456777395681361920000000000 * n^27
-   - 3386844879506808385587873157467763778147265832357828657961/599864444526160351145960845888230226510479360000000000 * n^28
-   + 8975715445112376764326365404354369942872021811244023950781587/1522855869837079078109212600761587135034603601920000000000 * n^29
-   + 1141689688674260410162806230731137824563608969465073820136479347/565360241677015607748045178032739223881596587212800000000000 * n^30;
-alpha[6]
-   = 212378941/319334400 * n^6
-   - 30705481/10378368 * n^7
-   + 175214326799/58118860800 * n^8
-   + 870492877/96096000 * n^9
-   - 1328004581729009/47823519744000 * n^10
-   + 3512873113922087/355687428096000 * n^11
-   + 986615629722639449/13133074268160000 * n^12
-   - 186591382609938512501/1419192838103040000 * n^13
-   - 11945326540608489526613/373693748455931904000 * n^14
-   + 4125626927677466366821/10899400996631347200 * n^15
-   - 4011823062707782237989439819/10071046520887364812800000 * n^16
-   - 5594107510292126787316683247/14477129373775586918400000 * n^17
-   + 14982221707493385549304025695646893/11007251005469054245797888000000 * n^18
-   - 7291595279883773582199320279582809/8943391441943606574710784000000 * n^19
-   - 8513492703227656510956084303336491/4584255567495120990240768000000 * n^20
-   + 157105326583313971040653100185655846951/40692431060843409914934067200000000 * n^21
-   - 342420444562433578699362565080425434441037/375021444656732865776032363315200000000 * n^22
-   - 6663996141625951282430738551524458085888493/1050486205771416493338545199513600000000 * n^23
-   + 1065943196304789336567113254479304136821982769941/116477910495934660781377891722067968000000000 * n^24
-   + 282615555043864261481140961100818513817314366357/285856205342106313334298242601241804800000000 * n^25
-   - 2234022131193996792575080782842298020429068641824778623/126453637844776885617066844983026134705766400000000 * n^26
-   + 1670315644839955612203042568472364219380574770260571/89166026685419598832547134282903043702784000000 * n^27
-   + 10801933283402577517707581324454394034794780353978810731521/1182341513848663880519575000591294359498915840000000000 * n^28
-   - 16737951977035205802462496054004751707736362520790525486549/392219059882489460364666706926919763487621120000000000 * n^29
-   + 608596584899951573523771478197765351237552575059720715257651893101/18091527733664499447937445697047655164211090790809600000000000 * n^30;
-alpha[7]
-   = 1522256789/1383782400 * n^7
-   - 16759934899/3113510400 * n^8
-   + 1315149374443/221405184000 * n^9
-   + 71809987837451/3629463552000 * n^10
-   - 52653013293696143/812999835648000 * n^11
-   + 101784256296129577/4455864483840000 * n^12
-   + 4323558791348929159/21064086650880000 * n^13
-   - 4743350772552838010233/12772735542927360000 * n^14
-   - 29903451511253057978977829/239786821925889638400000 * n^15
-   + 15436840428957043227623443109/12408968034664788787200000 * n^16
-   - 510180710084169862809596281619/397086977109273241190400000 * n^17
-   - 25997085578966927070281529664931/16379837805757521199104000000 * n^18
-   + 35427299825029861083061489601504459/6814012527195128818827264000000 * n^19
-   - 41290529970653089580171330206559029/15331528186189039842361344000000 * n^20
-   - 5636751993648050664276890397282425312669/651078896973494558638945075200000000 * n^21
-   + 141025630513942054689154210633777771281593/8496579605504103990238233231360000000 * n^22
-   - 5083353505162393632768455472240415265887349/3625207298348417702501646178713600000000 * n^23
-   - 2146307295003485715426155323634480307223656521293/64478843310249544361119904346144768000000000 * n^24
-   + 2825817217957521232544774598978333849050291610759191/66026335549695533425786782050452242432000000000 * n^25
-   + 1121526321726686366084998741747165637003373989067391/71050078471954976186444471989073608704000000000 * n^26
-   - 24751330931089944559270444413306567745123372815680765867/240606738674941774627508140128468530626560000000000 * n^27
-   + 283315570304624430111229930361091346970544306955451389315961/3103646473852742686363884376552147693684654080000000000 * n^28
-   + 4800340784447363734591990355494651667081994231886256711/55232397096636431665504905041636298326016000000000 * n^29
-   - 5883627608079327862661606773104442557734582970571316091093779/21654584826138278971716016135829556194222643609600000000 * n^30;
-alpha[8]
-   = 1424729850961/743921418240 * n^8
-   - 256783708069/25204608000 * n^9
-   + 2468749292989891/203249958912000 * n^10
-   + 117880637749661/2707556544000 * n^11
-   - 5921832934345276446697/38926432130826240000 * n^12
-   + 58559280970406047561/1064394628577280000 * n^13
-   + 707308930074513293534401/1284572260317265920000 * n^14
-   - 174465694566990976559029/168307400643782400000 * n^15
-   - 4693110873155601006258565965271/11118435359059650753331200000 * n^16
-   + 676391985485095809371733839/171665565696943718400000 * n^17
-   - 2198445417091794111397602386175901/542023723754157974224896000000 * n^18
-   - 53363941504564359044259819052979/8957723800023644405760000000 * n^19
-   + 3980756637943323854029497343795084553/210875756104775565551075328000000 * n^20
-   - 57605246865079073769101876100784936151/6705002845252607315528908800000000 * n^21
-   - 131556990309544385502695007449463535506251/3577507202317517469573992939520000000 * n^22
-   + 16563201841502261061487372612686514822354259/246931844784963022216298653286400000000 * n^23
-   + 3716622905750730591889081511594229480962791354087/1091129684472639151636059353184731136000000000 * n^24
-   - 2213908725034918327552841712951816333387504312678259/14018459110275430350511715674314768384000000000 * n^25
-   + 17011573703835625757730804229750060144161108086423592979/91512501071878009328140479921926808010752000000000 * n^26
-   + 682892898514410238829628389193295165408986121549166351/5831466588978968792019684149065332817920000000000 * n^27
-   - 155436494065578924089463413379949231968540857163058763243101/289553023799672787066018367491745557428305920000000000 * n^28
-   + 165551112077463450636444122527612450331221233114708176183743/410124712616255283555227578330105230951186432000000000 * n^29
-   + 1403124695221106030113716236806514839242351489435235474477081785401/2304047825501112882590584116852264779065289280061440000000000 * n^30;
-alpha[9]
-   = 21091646195357/6080126976000 * n^9
-   - 67196182138355857/3379030566912000 * n^10
-   + 395018924202597949/15446996877312000 * n^11
-   + 91220875613845291081/946128558735360000 * n^12
-   - 4988552993547340999703/13876552194785280000 * n^13
-   + 2274808037645071351151/16571805601849344000 * n^14
-   + 535711648203373741428799361/367673126953030778880000 * n^15
-   - 27678709003769097826752781127/9651419582517057945600000 * n^16
-   - 5280108162364963042999830777751/4014990546327096105369600000 * n^17
-   + 1174431699627195631670489145666649/96789950670385352540160000000 * n^18
-   - 1183738252014628519027860764867029/93856921862191857008640000000 * n^19
-   - 40137685403486395923628481749776837043/1911061539699528562806620160000000 * n^20
-   + 287333201658715623813482736998287053515959/4357220310514925123199093964800000000 * n^21
-   - 106257838315599820564882015419176890518173209/3950909516559408355460778452582400000000 * n^22
-   - 90892763520143573996692682431035087078662489897/622420206916436023998744174683750400000000 * n^23
-   + 201524866709123266853440470935579547318921733655003/778803283904190575028428648573042688000000000 * n^24
-   + 10814621264427896099430746759393142670689600538379/246140297135151589144787325968764108800000000 * n^25
-   - 530693286808080774017187055905756612819533423821542721/762604175598983411067837332682723400089600000000 * n^26
-   + 528646912311960943475639104830106896257711233429178692933/691427785876411626034839181632335882747904000000000 * n^27
-   + 1238335239482617295952056865714588188866564716732256454849533/1822776500516690149134344792578245470894161920000000000 * n^28
-   - 65933487212841390272205814518074033193900839255445948294377851/25518871007233662087880827096095436592518266880000000000 * n^29
-   + 162727413247772587683519571850133568153397325055616238461382829/98282138338670185068189671924151343633347379200000000000 * n^30;
-alpha[10]
-   = 77911515623232821/12014330904576000 * n^10
-   - 268897530802721453/6758061133824000 * n^11
-   + 8257746726303249815683/149866763703681024000 * n^12
-   + 323404376453879141969/1506527781986304000 * n^13
-   - 565045774309646240886321061/661811628515455401984000 * n^14
-   + 606966182513981199158868163/1723467782592331776000000 * n^15
-   + 75743290339815584481785361977/19854348855463662059520000 * n^16
-   - 22241327027192487028642722150343/2823040227886239449088000000 * n^17
-   - 1526410847130700516846978043440307/394199071821205799436288000000 * n^18
-   + 1980853898587532814589028918136701/54202372375415797422489600000 * n^19
-   - 32336501755791644291373778373511296903/833917762777976100133797888000000 * n^20
-   - 9178264588912399043908657569412179727459/129878682332656421941511454720000000 * n^21
-   + 1806166894952081193938559978698482758385827197/8083379310603065246736937333555200000000 * n^22
-   - 361654991248988355171855093660297726396047881/4322362548030805722213501213081600000000 * n^23
-   - 105020035995730778911321036642305474913412418767240671/190651043899745852766959333170680850022400000000 * n^24
-   + 2294386994267351811538453796616269131419043757692511/2383138048746823159586991664633510625280000000 * n^25
-   + 2743769449547669368889674700489658732983220398593193929/10458571551071772494644626276791635201228800000000 * n^26
-   - 23157882459582328183252760859500524302121767786137065570859/7994633774196009426027828037623883644272640000000000 * n^27
-   + 89430614800491857673988760128056842290692364119137870498038657/29634817943884252747216444369659216688085729280000000000 * n^28
-   + 2567130086431563482452599790796650371294900574502194735538864809/746426976961584616070514192560791520331159306240000000000 * n^29
-   - 509038828002331582891050965787949294310918940649244811719555481648577/43567449791293770870803772391388279458689106386616320000000000 * n^30;
-alpha[11]
-   = 12809767642647461/1029799791820800 * n^11
-   - 5303630969873795374429/65282870552739840000 * n^12
-   + 505329992704194411750631/4178103715375349760000 * n^13
-   + 902773043678795981447423/1880146671918907392000 * n^14
-   - 52457275102567933937177869/25762220537492275200000 * n^15
-   + 67595745292234822704267032563/73325720204837388288000000 * n^16
-   + 81338369151994478217697814085661/8212480662941787488256000000 * n^17
-   - 19217318226298386878750945280512161/893107272094919389347840000000 * n^18
-   - 1873245185945872710662470867765863817/171476596242224522754785280000000 * n^19
-   + 476337982883129731566963871315011795997/4406497269224532801843363840000000 * n^20
-   - 8440994919935476843536233253371860518791717/71444009058360425160553739059200000000 * n^21
-   - 33526203318350561460792162793779755990401717/146245349369463351503464326758400000000 * n^22
-   + 710399978033562118273811779126576411439704335403/961922137961764764361695542693068800000000 * n^23
-   - 34930525249908548784563565768397098265832106510929/133733897236073129045285727532744704000000000 * n^24
-   - 23048480004933480948529688590232835511983254849209969/11554608721196718349512686858829142425600000000 * n^25
-   + 3343638043167525209592261539785084441516908110518987/960960215823802999597333847150375731200000000 * n^26
-   + 3245082101525034287044377973345367353808255099669736817511/2599324777920413759906374035762203880062976000000000 * n^27
-   - 1563650841338021630530049879900135725592709642522865259185153573/135713995811197202921911671374689367332938055680000000000 * n^28
-   + 100228142507845651554674218817828912081709008921929406668291104191/8685695731916620987002346967980119509308035563520000000000 * n^29
-   + 1348681612012517778664036601950009019623074500848299186242899657141/84859828283817488489232796254889378316274578227200000000000 * n^30;
-alpha[12]
-   = 2240624428311897034834681/91918281738257694720000 * n^12
-   - 1694308924283012695547/10043518546575360000 * n^13
-   + 2898270966023179721324929303/10754438963376150282240000 * n^14
-   + 5049523426723058614103389/4683336365740032000000 * n^15
-   - 293488823111024724225343654073741/60224858194906441580544000000 * n^16
-   + 15397766080743841984369762728863/6297551277592380309504000000 * n^17
-   + 5863952550107110495571900519504737/229656155681550700118016000000 * n^18
-   - 1430933931370883795713846515020911423/24472734089815246481326080000000 * n^19
-   - 1870907814706500734631241404968509423277611/62870727971357174141287290372096000000 * n^20
-   + 85087672018039782610988182307863449111159229/270147659251925357638343825817600000000 * n^21
-   - 17181221423420856035067255437638564537594025459/48096106898088238218084777134653440000000 * n^22
-   - 29840743030792811125826874514052113793829046631/41332591865544579718666605350092800000000 * n^23
-   + 233752394874908577315877184530185132629657928559209871/97769766102433770649722734959323512832000000000 * n^24
-   - 201646398092527015113891771761912798737265288328930229/244933632787867935846440809976221925376000000000 * n^25
-   - 1478405663522054837879701822965363491041325865689756503513/211622658728717896571324859819455743524864000000000 * n^26
-   + 321386243763712289433592425205485189709512429739435078423/26177282004203385643588361566208718274560000000000 * n^27
-   + 2818199590151532790384019625468928958215697625600921714777625549/535252958269371601439920541444153022982568017920000000000 * n^28
-   - 11378071070442404926793965546213173776855685042822972281764801951/257713735203578688495924900168357493335389739417600000000 * n^29
-   + 26391837116130703226086300212905604518448450453630780847639554556493/613134590884340253673783066835327045013588110475264000000000 * n^30;
-alpha[13]
-   = 1987049611350093295679/40852569661447864320 * n^13
-   - 49990807275475500894703/140691247558557696000 * n^14
-   + 620844046443235040902108541/1021314241536196608000000 * n^15
-   + 30593679475357306372670316797813/12595102555184760619008000000 * n^16
-   - 785749129848932618333134357025453/67173880294318723301376000000 * n^17
-   + 275581708051003997988541817255279573/42168403354758578552438784000000 * n^18
-   + 642193387846955979009281483738217042761/9813737508016541917658480640000000 * n^19
-   - 10379707152495210640484367519099555203413/65622913178605350033605787648000000 * n^20
-   - 28662530127283669901885121584468088960326233/364665822910787579541585710284800000000 * n^21
-   + 4609055620394562855489493272499773205216196129/5087088229605486734605120658472960000000 * n^22
-   - 873057563036453343326459102080494704028393390097/813934116736877877536819305355673600000000 * n^23
-   - 19289084079854993646765928794776984023563835229561783/8695868619687619024133993253593677824000000000 * n^24
-   + 1182490481385670104330958793922877551368861956689593353/155502591787355069608043173476028121088000000000 * n^25
-   - 293417158736416271896554762676460700877470285796817656847/111689736551267778745977009349157197971456000000000 * n^26
-   - 39859038349761443605955883817872550236932196068750468867903/1675346048269016681189655140237357969571840000000000 * n^27
-   + 26244234609643418748414712844720424679053976070350152552610637/618202691811267155358982746747585090772008960000000000 * n^28
-   + 2077245025145718452430941958359096421872386057259172217716184873/101286329026358010734015733227124341272085948006400000000 * n^29
-   - 191207856187024789574592797220884621637003872633248259491607835405551/1166134827662716367083406640577189322150843540884684800000000 * n^30;
-alpha[14]
-   = 10469176753142937388346729/106216681119764447232000 * n^14
-   - 2524263545672345614192283257/3332037713011841433600000 * n^15
-   + 28798233421533175181823218687239/20791915329193890545664000000 * n^16
-   + 13912456133127892258104161571997/2535377787082646618112000000 * n^17
-   - 5642793384271167571209335562965961618499/200480637663766499175023247360000000 * n^18
-   + 2416612854960792848747357744110015450361/137830438393839468182828482560000000 * n^19
-   + 37531174405336506824031127490381559959133931/224939275458746012074376083537920000000 * n^20
-   - 2616330145733138560090205392154735810050979/6139719528452849037235086950400000000 * n^21
-   - 68829610700469773329308127037458237442895425239/341327210244497174450924224826572800000000 * n^22
-   + 63069353283833076130495586379466422512525299809581/24468894384402391193450630367254937600000000 * n^23
-   - 714098347019839680389819042844541592537678056730181857/223156316785749807684269748949365030912000000000 * n^24
-   - 2661752462851196865891091928419385880894607083642023593/398891916254527781235632176246989992755200000000 * n^25
-   + 5961320530838574206567558505826389702787945152445692779/250285123924409588226279012547130975846400000000 * n^26
-   - 94590092745211556049112510107228668331259876881195561421/11150842204387935702723354017813583888384000000000 * n^27
-   - 17802000569076164486140040573046212865608178116650965279535007359/225025779819301244550669719816120973041011261440000000000 * n^28
-   + 6231272989222159551881242282050573601231377672788471696790420989/43196913090312292480708919428987508217694126080000000000 * n^29
-   + 422268052780700950950541531621666843181077037988763165839750231840343627/5605286734647678672031164692522288170338508448622182400000000000 * n^30;
-alpha[15]
-   = 100206984674719544740861653301/495045603076045012992000000 * n^15
-   - 36822741875265270244508239254871/22559228132175371242045440000 * n^16
-   + 179792631498449481362046446075850677/56496153931013103632252928000000 * n^17
-   + 1198746750769645158859022771229488225047/96481306875687627727979937792000000 * n^18
-   - 712415136407467601227112286139274196716669/10497166188074813896804217231769600000 * n^19
-   + 4324780012493436320334302458159540323213361/91850204145654621597036900777984000000 * n^20
-   + 1555975364258875353541471977713778721787643043/3674008165826184863881476031119360000000 * n^21
-   - 1749084094448959255650030230541491009564819115959/1529305899025149449590664397953433600000000 * n^22
-   - 3736902111701391887100479481424584566863791566838269/7438543892858326922808991631645501030400000000 * n^23
-   + 160288079478771431803467565454719360005157928068793941/22073070464677426629639725167817628057600000000 * n^24
-   - 205505625990694957725950514798454096070237493947357149/21661039816003447999219783631351699000524800000 * n^25
-   - 12495724210779737453458596500764106334450954721020624496477/634054042883350928573315637689830862330265600000000 * n^26
-   + 5055693252244555496228110569294083881781629217112771929053811/68689187979029683928775860749731676752445440000000000 * n^27
-   - 3183992173345900271685562628167128755396195058359564971811781053/115191768240832779948557118477300021913851002880000000000 * n^28
-   - 5698640861911756799224037518645406078168295920245835514736969952989/22116819502239893750122966747641604207459392552960000000000 * n^29
-   + 142278670225215087706896520822001994673082990276889571404960221414791/294749152212543199400677229925300609918641519984640000000000 * n^30;
-alpha[16]
-   = 7712781743942384637654934879373/18338215136419449195724800000 * n^16
-   - 2402063456298622602221186822696471/676776843965261137261363200000 * n^17
-   + 7668107436276322919714287100049904599403/1041385534531231537381370757120000000 * n^18
-   + 361303680860095904135414295125524607/12819051189903224347361280000000 * n^19
-   - 7227390188103426658110578949868094476645931431/44088097989914218366577712373432320000000 * n^20
-   + 12901408373363616730918554960524450439118853/102117113984051111751513381273600000000 * n^21
-   + 497747383538267321534956030212997835594308172021801/464908993303645432675561976977843814400000000 * n^22
-   - 252499664598382602456303781455085911751340300461/82547761595107498699496089662259200000000 * n^23
-   - 131281534185888595153825331846748525760537617955805958541/108305199080017239996098918156758495002624000000000 * n^24
-   + 1426262784250791324747799093000080956187589936714029719/70320626514158153080237367679905483980800000000 * n^25
-   - 23170473116883805794188278794166757632616659619691851519/828740273599081251646377980227632916070400000000 * n^26
-   - 44044500279817699335584829646278793104954720796019992410409/769175802890176148160771357353766171967488000000000 * n^27
-   + 62420418657558519149643437875852556019705678659537976085016650961/277762254345241993722109472497853742008909168640000000000 * n^28
-   - 109511822578379305705407097075954475716527637153298910483976431823/1209513566528744189459849744011650230095435530240000000000 * n^29
-   - 168398596910687560076596170666837371522448204565539850254693515405079907/204359412200696618251136212748208422876924787189350400000000000 * n^30;
-alpha[17]
-   = 136336614071421552738346511544707/154416107000986498341273600000 * n^17
-   - 27801197719443334715141091692509100501/3573381736136578804739997696000000 * n^18
-   + 576392411336288932474450636964598560303/33631828104814859338729390080000000 * n^19
-   + 556540535711605007979630683151193569919453/8691707297670641941407583961088000000 * n^20
-   - 301243011881263087198414763542811432614781470369/759655217816414105679022838199091200000000 * n^21
-   + 989789926631181163755007364622407618669102051/2925597777633984541291825940398080000000 * n^22
-   + 2103270728132227977532547099652140536893417990637/779966854656425178023381737616179200000000 * n^23
-   - 149750803535199564120198336297627481136417850061461067253/18366093042521305863309053676398844051456000000000 * n^24
-   - 827633945205212562322541676028753996760694367358637422131/293857488680340893812944858822381504823296000000000 * n^25
-   + 10871559511195696848205970321319912766271482873182818466013/193406204284510078070764728510649051643904000000000 * n^26
-   - 1185910777714920025608418139877185236744968114328617926870881/14478603348520962788908637314894422060564480000000000 * n^27
-   - 1794514783827843337644294958827668476221297946256830260008605439/10945824131481847868414929810060183077786746880000000000 * n^28
-   + 128661408285411985453738219706261617148768669184661116871488103229/189555919076956236027138549181277523417671663616000000000 * n^29
-   - 1855414703915628112302305459595288498254055876861869243258846990726549/6247526147877631344159452657828430574942185943203840000000000 * n^30;
-alpha[18]
-   = 67752028110741493306780180177177973987/36222105548912401300221591552000000 * n^18
-   - 5545658735018547601364002065686581343/322869656256540697864175616000000 * n^19
-   + 6903145472582253547590916629983711429839564343/172188516038387197287245176658460672000000 * n^20
-   + 2594359997714507009889054556821919665165991039/17814495239540271366199495675084800000000 * n^21
-   - 2653661574489733699865151526666294107005175728022119/2762887731633092857043339748896900382720000000 * n^22
-   + 223899545504288463905906021765274294443981546647858717/247796493430843015616074533729190753075200000000 * n^23
-   + 144506895392063363464005464205241390539753389057581011317/21348620972503398268461805982822587957248000000000 * n^24
-   - 199508703723852397940714471767792646467211904185547826559/9208240064528857740794868475615606996992000000000 * n^25
-   - 123747223374921892225259794899435553979183207374624389411529/19856370306543034681931845460426635968774144000000000 * n^26
-   + 74365730590824979951370872254622112553384627249684845833999/480734876806360092600482098346103857479680000000000 * n^27
-   - 453806568576657850636481186180714169477831867390896126354437393759/1902140993515290007355661135881569592628719124480000000000 * n^28
-   - 129377367350744075863584786744687343612005128384626716428469495967/279376958422558219830362729332605533917343121408000000000 * n^29
-   + 9812276168495581890730160638055577559800537496316269869797927437190396177/4833641563655724730627900082998991975493047684412997632000000000 * n^30;
-alpha[19]
-   = 471824901393496747102665687245792177081/118103493571358059411833618432000000 * n^19
-   - 50561675675044750669650971499055765086319/1324934718670261598085912408883200000 * n^20
-   + 67251111238362727892454291277989954473027123753/714019364752482795768480796350873600000000 * n^21
-   + 240180124848943302649869868199872368699919588928959/724551150382581917006065888097048985600000000 * n^22
-   - 485940263706654462038872744309833664639315267073048459/208670731310183592097746975771950107852800000000 * n^23
-   + 1699999199365185300098132938338874634674993023922086094213/706611263899109188740995696707766052716544000000000 * n^24
-   + 18316002921325135783401359443916180813949011876130693396319/1081422456054288845377523848874494132853145600000000 * n^25
-   - 1070798289679403964467272203329695220087675802370874334174677/18654537366936482582762286393085023791716761600000000 * n^26
-   - 66905570444410496337928253364613460714163911189816744933/5208993291563945942641955456499557439897600000000 * n^27
-   + 639717024183652714810791734101835747576462370463927529907834770743/1512416617024375325397452369319368303913436446720000000000 * n^28
-   - 121315610544001063260669429484399550327396846073348792749387872304069/175562790458797122792695361672570558744154047774720000000000 * n^29
-   - 2310657553908327208643487025983368468395539176694805984465325989447845451/1788765381287069184854074866241403280404499554264678400000000000 * n^30;
-alpha[20]
-   = 202399116895368048088234707551711981612353729/23547147492429018432443784842182656000000 * n^20
-   - 3365095273417630466576291762515903066833421003/39463570282275703540635396955176960000000 * n^21
-   + 2717825461890719651841152458000965236132994648134207/12236863873128050153880223887861271756800000000 * n^22
-   + 167575736694631175164505551372730340638238831166089517/221984358698463534822733436465733382963200000000 * n^23
-   - 1780457197357285934359849612457829809553519546045920132315603/315054408863816150286651947972102624037883084800000000 * n^24
-   + 31433611667605561414091907198192986558131456317053607536179/4922725138497127348228936687064103500591923200000000 * n^25
-   + 81043708724580147220822100302291795209006507032171545390245907/1918125371612057150274616271477213034583582310400000000 * n^26
-   - 1577108197581107731425828348589622362098940512581130343622369/10399988029071674998896733424633161124413440000000000 * n^27
-   - 5514916654831738928837454570878277449201710700255298388849026950313581/235404621606609970647462666379821037767518556059074560000000000 * n^28
-   + 2277087194186373183792618936007821692864753094815436081352010122233691/1980567729863305041505094548868686615832487851458560000000000 * n^29
-   - 143439353635410339941300281453638717803865413230045426199413290694870693/72062639267329582851264081544843174826791394711961600000000000 * n^30;
-alpha[21]
-   = 7593597428771861155598510033855442354788700917369/407895462437601671796007462928709058560000000 * n^21
-   - 45805642625336613066067381416091711616993807717957/239175066611139162098568012353652129792000000 * n^22
-   + 1990618787705329951428358040285346629497792311202946171/3788533055120444327641317315681849735905280000000 * n^23
-   + 930144112851858298709480062321695584642393218056377949791/540958806428255752552630405171879505559552000000000 * n^24
-   - 752902102022542070422923926458337877174355061465216481203/54858440486545321043175068539316832105922560000000 * n^25
-   + 24990276016004332532181513229852654837023995611735929270423877/1479326420770302763580519691998352523776334233600000000 * n^26
-   + 1273703517934435922639076948106483178914355724092343511679304023/12119166110998363411723475629310149719087906816000000000 * n^27
-   - 387147736345336231749751695652681175080211230836264638568453074861881/968987437728821283747116150252959580864281690767360000000000 * n^28
-   - 26472588474688318840378923145456844687860042284441254323438583079847087/823916175623134897266119332329373632186314946206760960000000000 * n^29
-   + 489733176366105123100315909250683812497390264686335645655218001765029594209/157573968587924549102145322307992707155632733462043033600000000000 * n^30;
-alpha[22]
-   = 2439323846938124516749950544509820877337338687175781/60135445319372132184782814534632535490560000000 * n^22
-   - 34073601205416895076590748626649694428085903921401/78848923058617306186341102973731471360000000 * n^23
-   + 114050797567384263375075461734480044074661222373269471907217/91493073281158730512537813173716671122112512000000000 * n^24
-   + 137273833008580661426413574856400098350445610433824603561993/35055769925661361419206064286668615837548544000000000 * n^25
-   - 45059179088074031893922072777375249940924991766835661888221084641/1351036625382288628601140188130286029427907231744000000000 * n^26
-   + 206898006671113514273360240583654940027344524273411544491451421031/4644188399751617160816419396697858226158431109120000000000 * n^27
-   + 2440824507911814657571898799746797396009020312235697337059397039885469/9362683813899260196205901503742882183935397115985920000000000 * n^28
-   - 696311481675417712820466561405304148537325788366564328711011454870887/663190103484530930564584689848454154695423962382336000000000 * n^29
-   - 6924245472208385163375477930704649011923426449727911613839020300441563381/3208778996699554454443686563362760582078339299590694502400000000000 * n^30;
-alpha[23]
-   = 7474565215206746325580483864591180104671541156913/84105517929191793265430509838646902784000000 * n^23
-   - 16782060552985470049913293468183373087712600299046298630661/17138376408101110027167409206815767742801510400000000 * n^24
-   + 6503735528674785551831538506800050725715065676154256817241867/2193712180236942083477428378472418271078593331200000000 * n^25
-   + 43999179965065941867057377378097709899255133565469268235339039/4935852405533119687824213851562941109926834995200000000 * n^26
-   - 320196265269217417773345496488501328010142269670188589023798556437/3948681924426495750259371081250352887941467996160000000000 * n^27
-   + 123832182350468652680214620379816199199842965715033754557125222024173/1057259585265194237131946607004781985746328055971840000000000 * n^28
-   + 223366335034930390488779600823060385213901770612295015887755022091478569/346358240132877632084425708454766578530497071136374784000000000 * n^29
-   - 5683975145729510214638167363294386038771152028333168572495195332205249204543/2065161006792282881303388286661545724488088786650634649600000000000 * n^30;
-alpha[24]
-   = 39494178711472476796003427487122912293893944185276935843160849/201821520581798671679923410819462480939230586470400000000 * n^24
-   - 76348957557716638341723622087037389639067389665177807014579/34276752816202220054334818413631535485603020800000000 * n^25
-   + 4701748482852793217057834734347787548724108110072753226999643/665345672247687928615132123580645541557903032320000000 * n^26
-   + 679403733200977595115362734887022205196905112342852746889825923/33505525877837670103112284999324825937176952832000000000 * n^27
-   - 1551880057739501281928982393705767292741074023417989103820403149655498881/7867890886969072136238806216750253141927340875196661760000000000 * n^28
-   + 40509752985115825377187326802004288703338863504362380792112685460851409119/131940842100618072972160918314487643508961228036012769280000000000 * n^29
-   + 930119149078652355869135614976346780332901622265792177140238904719349791424829/584599423461200077168959145762652943547397441144179654656000000000000 * n^30;
-alpha[25]
-   = 8740098043964194699013511747075939410275887707894105297617/20190228149439643025202422050766554715809382400000000 * n^25
-   - 560970870667805373435462259322216583674714967329353232405989/110325175245152335101998949063117245411386982400000000 * n^26
-   + 37599914809270379883026138747614917048973558104768871252051312999/2227899902526348973090063625929131283095402577920000000000 * n^27
-   + 62112464645162326712991624734748037976412787406014636486771832698244341/1348054580849226799204709254809580010308671550814945280000000000 * n^28
-   - 337728148943314333204134420372420356729249456410758236907291010482662683997/703684491203296389184858231010600765381126549525401436160000000000 * n^29
-   + 9318731629311992919328873307373838077895502043140333484055412345740103859247/11610794104854390421550160811674912628788588067169123696640000000000 * n^30;
-alpha[26]
-   = 981053882391585426104317525561993317308039476510023968359/1020137843340108279168122377301889080377737216000000 * n^26
-   - 804535427693867223518181752525105894684868959294094526147221449/69088598041109651665505696484929975427905303347200000000 * n^27
-   + 1850220524749669257030657681847129002392911081379585567459419325323237/45823979891138552002269970273380595222214183119277260800000000 * n^28
-   + 4964057679773584492591452849477564911024827566211763096636472333282359/47482084426673170660246844197746340444070617376882688000000000 * n^29
-   - 4451537474316831472817032033079424859226655324781227836739835901181143999400077/3810722167747081984508770727934330298679331468199097008128000000000000 * n^30;
-alpha[27]
-   = 219796242799180006558858282267295702822729406335181729959735197/102474606956438773279014366383959253494644552499200000000 * n^27
-   - 1991862922927036259097631233677478784353889919238496520767270708775317/74463967323100147003688701694243467236098047568825548800000000 * n^28
-   + 6916252182087743491582730686935092456222021350509646835638283740939656053/71485408630176141123541153626473728546654125666072526848000000000 * n^29
-   + 4178831185325638216557225776185254600956561244767568179257086044280129070299149/17648407039378673440756244433745867195758653862097068018892800000000000 * n^30;
-alpha[28]
-   = 215719482708468448409738976464239418783926747463596671692384366197697/44929100822557395094481533143462725012487441496072519680000000 * n^28
-   - 278069851593691889742988308687280247895937313870882245850732354899927/4512967716551524060829618284499604074915033185989427200000000 * n^29
-   + 10456333895529602975165309445620837322364136333954987435106098028819923116751/45038779803274177894987830782750235833811918467990185574400000000000 * n^30;
-alpha[29]
-   = 27323334865827529185376977771399500293634233810796735936299404584293/2533595911046469648185048861473461936794404595643187200000000 * n^29
-   - 52262641147658201267292303345886757439639836488719164781023668387608491790413/367286072424459165080994152236686477795330009828475136901120000000000 * n^30;
-alpha[30]
-   = 138503251037159093918050273397984791664345186887370360837473296764761046660471/5699690220901306106942517947753261728997763363224497107763200000000000 * n^30;
-
-Krueger, p. 18, Eq. (26*)
-beta[1]
-   = 1/2 * n
-   - 2/3 * n^2
-   + 37/96 * n^3
-   - 1/360 * n^4
-   - 81/512 * n^5
-   + 96199/604800 * n^6
-   - 5406467/38707200 * n^7
-   + 7944359/67737600 * n^8
-   - 7378753979/97542144000 * n^9
-   + 25123531261/804722688000 * n^10
-   - 9280258847/6437781504000 * n^11
-   - 1628053924171/99584432640000 * n^12
-   + 171201246542931467/6186450514083840000 * n^13
-   - 5718183564876629179/180953677536952320000 * n^14
-   + 644468750008654952687/23162070724729896960000 * n^15
-   - 212771552062192641437497/10336074060910716518400000 * n^16
-   + 490410367787088228908921/33923525122989018316800000 * n^17
-   - 17113867364186490261786648857/1602504922403597489012736000000 * n^18
-   + 395980314414341959891853827859/51280157516915119648407552000000 * n^19
-   - 19481411440513215539899023606263/5115195712312283184928653312000000 * n^20
-   - 135570116300721989060886034459593007/108032933444035420865693157949440000000 * n^21
-   + 11080348232555971953029572642513796537/1863568101909611009933206974627840000000 * n^22
-   - 250868515348150853528597220771122960249/29817089630553776158931311594045440000000 * n^23
-   + 961059950401200029458005065879527529605493/118813647905349159549301543874372567040000000 * n^24
-   - 4018789334131226157542250009395235956239124497/659019700381670004966792563356519838515200000000 * n^25
-   + 2391844895236730308938558863293259934461956219/570305509945675965836647410596988321792000000000 * n^26
-   - 1573270095968198180509050797007198841027307027401/474494184274802403576090645616694283730944000000000 * n^27
-   + 2061253330556904530218418240686914940538061818436749/670816153018501898055698150240601543624622080000000000 * n^28
-   - 2710857345655764890042245118743890636519888766789337/1100826507517541576296530297830730738255790080000000000 * n^29
-   + 455119247458368582897233478322666951033511063680152518561/460521387375865357577946377396084237894154190848000000000000 * n^30;
-beta[2]
-   = 1/48 * n^2
-   + 1/15 * n^3
-   - 437/1440 * n^4
-   + 46/105 * n^5
-   - 1118711/3870720 * n^6
-   + 51841/1209600 * n^7
-   + 24749483/348364800 * n^8
-   - 115295683/1397088000 * n^9
-   + 5487737251099/51502252032000 * n^10
-   - 5845886411021/41845579776000 * n^11
-   + 6339155669701909/46867049349120000 * n^12
-   - 3825933403819459/36248733480960000 * n^13
-   + 1576089193435485637/19579096132485120000 * n^14
-   - 796020536210393262877/13672055636125286400000 * n^15
-   + 2472784862443506933077081/82688592487285732147200000 * n^16
-   - 1031884087773262337231/259769057086380441600000 * n^17
-   - 3043575175820301204619799099/301647985393618350872985600000 * n^18
-   + 1240087853302816440305681741/76309758209695118524416000000 * n^19
-   - 162802157643900956474519187209659/7107429831844435583269286707200000 * n^20
-   + 12816799444007020333086273455167501/404420161004689889308421652480000000 * n^21
-   - 8434093090274924630876141677262180833/219243306107013059992141997015040000000 * n^22
-   + 4577121708190925068719017020286339507/116473006369350688120825435914240000000 * n^23
-   - 3765607524414111763649498176471170518355049/111925900200691237256588410896148070400000000 * n^24
-   + 1131301743028144854789954188008691387730629/46411581213027015448945915575926784000000000 * n^25
-   - 460026540064989874633511523684594620842417879/29318721223109392213055526792924758016000000000 * n^26
-   + 604271886240145180390884566623502375996747842517/59723660347088844200115576054184610365440000000000 * n^27
-   - 935636652514721565914189601103950324131311023910747/134163230603700379611139630048120308724924416000000000 * n^28
-   + 13991916555135286064709925920796585055379160510097/3716480422922153591658662648136502628843520000000000 * n^29
-   + 551187495544637127580837409130179426064488050021383801799/558977683987257261611852154632488454271525086822400000000000 * n^30;
-beta[3]
-   = 17/480 * n^3
-   - 37/840 * n^4
-   - 209/4480 * n^5
-   + 5569/90720 * n^6
-   + 9261899/58060800 * n^7
-   - 6457463/17740800 * n^8
-   + 2473691167/9289728000 * n^9
-   - 852549456029/20922789888000 * n^10
-   - 2673218294321/191294078976000 * n^11
-   - 1619588070701683/35150287011840000 * n^12
-   + 799518679601909/34085126799360000 * n^13
-   + 29003748875152374779/473263464327413760000 * n^14
-   - 1018892483578870404121/11218096932205363200000 * n^15
-   + 481644368636077473383677/6234457370073130598400000 * n^16
-   - 723295134325860384163989341/8379110705378287524249600000 * n^17
-   + 18449123896439664237491327/175105254678958021017600000 * n^18
-   - 9545551652020360064000248463489/99543835179894055788085248000000 * n^19
-   + 1624734283470807394728668252816369/22704289740614169224332443648000000 * n^20
-   - 2700625783869782207997557873010304073/43592236301979204910718291804160000000 * n^21
-   + 115833584495328576175632817607784109681/1863568101909611009933206974627840000000 * n^22
-   - 80331805706465175347621476210358062805003/1550488660788796360264428202890362880000000 * n^23
-   + 521874000525184838244754419829212765128887/18500148793502683844064200148123648000000000 * n^24
-   - 381143434387098814023111575357004480524467771/143265152256884783688433165947069530112000000000 * n^25
-   - 3524924454475074760191004058569251720124879785757/215005177249519839120416073795064597315584000000000 * n^26
-   + 38831080481512203835364300143596202089804731885903/1433367848330132260802773825300430648770560000000000 * n^27
-   - 8744571180068348778510935237066929988537179992179467/279936740778874830534781728081174105704890368000000000 * n^28
-   + 924277626444402405054252433779774364643696474585704740403/27948884199362863080592607731624422713576254341120000000000 * n^29
-   - 126306569153879537470902727265265301493989903234598946584327/3458674419671154306223335206788522310805061474713600000000000 * n^30;
-beta[4]
-   = 4397/161280 * n^4
-   - 11/504 * n^5
-   - 830251/7257600 * n^6
-   + 466511/2494800 * n^7
-   + 324154477/7664025600 * n^8
-   - 937932223/3891888000 * n^9
-   - 89112264211/5230697472000 * n^10
-   + 12003335387/32691859200 * n^11
-   - 537877266968267441/2249618368757760000 * n^12
-   - 63357208977773989/597554879201280000 * n^13
-   + 887398150788484759/8825425908203520000 * n^14
-   + 2384026112354539199/18578524426076160000 * n^15
-   - 367013781018742745596861/2656100181332931379200000 * n^16
-   - 116368807092865455691/7292981549216563200000 * n^17
-   + 13509292858664313453220237223/388843106171461155422208000000 * n^18
-   + 12614093798238667596568634093/279480982560737705459712000000 * n^19
-   - 42830094113304502651660706556769109/1538549516540442526260645593088000000 * n^20
-   - 1668094745107834360626912832785989/31436708871619618925998768128000000 * n^21
-   + 324878397379290831787720619212058141009/5100291647331566974554040141086720000000 * n^22
-   - 83347374922531563076841834327924641529/3028298165603117891141461333770240000000 * n^23
-   + 61194082538219225945927920756047806920251343/1628013093828236178277649613034881024000000000 * n^24
-   - 98047007466353520331537046826194116951241/1156259299593917740254012509257728000000000 * n^25
-   + 1493069566723126691789414021618816357112902099/14163713916305654751015551633403464908800000000 * n^26
-   - 428919341299773794465717432164006775623731672469/4733778760465280548815978897476564287488000000000 * n^27
-   + 17024219401413321980501656137013731587720179574723869633/238879352131306522056347074629268570201506447360000000000 * n^28
-   - 1999391624298578429684484594521785906724957573844027707/33592408893464979664173807369740892684586844160000000000 * n^29
-   + 11744245649394563850890264467671937396646650052934109768653353/235189860537638492823186794061619517134744180280524800000000000 * n^30;
-beta[5]
-   = 4583/161280 * n^5
-   - 108847/3991680 * n^6
-   - 8005831/63866880 * n^7
-   + 22894433/124540416 * n^8
-   + 112731569449/557941063680 * n^9
-   - 5391039814733/10461394944000 * n^10
-   + 4863559943251/167382319104000 * n^11
-   + 37588208648677/67596705792000 * n^12
-   - 940430600213372183/7648702453776384000 * n^13
-   - 3291872437542629663/5190190950776832000 * n^14
-   + 189272332747364970877559/523171247838304665600000 * n^15
-   + 502532269819919668347149/1208525582506483777536000 * n^16
-   - 949451228897166389540897/2708180577045341798400000 * n^17
-   - 1784576325496520253476120683753/7154713153554885259768627200000 * n^18
-   + 524830142025358848902662672939/2071953130441233740385484800000 * n^19
-   + 2016209403231616185652826723458583/12019918097972207236411293696000000 * n^20
-   - 16096897691007333935470338878197156361/100005718575128764206941963550720000000 * n^21
-   - 76250060255013791707276485885487883543/490412658397266055245580782796800000000 * n^22
-   + 9252161795915253082728155240170650043693/58289047398075051137760458755276800000000 * n^23
-   + 7020751793938461613149395590976276678732551/107300863002315566295572360859117158400000000 * n^24
-   - 579414190481675218910106244870862973300742643/8393311950403350963564771338313164390400000000 * n^25
-   - 14173007029062232289088502554662276328011078147/150540045053305816210793863075031112744960000000 * n^26
-   + 772937441939971334194668845837513587924053359303309/7321000085750240746251238393754144640860160000000000 * n^27
-   + 49025366795674025628029223704689793073534968814712031/2399457778104641404583843383552920906041917440000000000 * n^28
-   - 669686609255507094686692239475289306509135059892997117053/9137135219022474468655275604569522810207621611520000000000 * n^29
-   + 40227222695357598417206145371640258351589316954641039386851/1130720483354031215496090356065478447763193174425600000000000 * n^30;
-beta[6]
-   = 20648693/638668800 * n^6
-   - 16363163/518918400 * n^7
-   - 2204645983/12915302400 * n^8
-   + 4543317553/18162144000 * n^9
-   + 54894890298749/167382319104000 * n^10
-   - 132058444054073/177843714048000 * n^11
-   - 21678380925301381/85364982743040000 * n^12
-   + 12818665941423773/9855505820160000 * n^13
-   - 4808615626581842484821/26158562391915233280000 * n^14
-   - 17463465220672744627/12110445551812608000 * n^15
-   + 165202773463857304705337/353370053364468940800000 * n^16
-   + 812997634361998476236143/536189976806503219200000 * n^17
-   - 154619327801320908736885805799083/176116016087504867932766208000000 * n^18
-   - 161959155482489360388164840926603/143094263071097705195372544000000 * n^19
-   + 9349367148014299101273724109539769/10684371642641961987921149952000000 * n^20
-   + 131732029936307954433180838298519269/162769724243373639659736268800000000 * n^21
-   - 8489365993766826694602346374698947667527/12000686229015451704833035626086400000000 * n^22
-   - 235155180584267064004207367582121161331463/369771144431538605655167910228787200000000 * n^23
-   + 10739171442634029743650624432194704913120097/17833938449138321267962165239742464000000000 * n^24
-   + 1762807308141499286674865995442897164018384597/4035617016594442070601857542605766656000000000 * n^25
-   - 558496189945509263731011585527531303192423984003189/1264536378447768856170668449830261347057664000000000 * n^26
-   - 97808507187022352611022156010465649331807161947569/289789586727613696205778186419434892034048000000000 * n^27
-   + 32615652758302709344528899560237170963687405836157/90059147187314916442820962074212161290240000000000 * n^28
-   + 943749252435341852900014209629694019211039392602319/4138675144863930994107684407508081919918080000000000 * n^29
-   - 2396490245787484054215780490518037472472963419615505648060407/7617485361542947135973661346125328490194143490867200000000000 * n^30;
-beta[7]
-   = 219941297/5535129600 * n^7
-   - 497323811/12454041600 * n^8
-   - 79431132943/332107776000 * n^9
-   + 4346429528407/12703122432000 * n^10
-   + 947319776978297/1625999671296000 * n^11
-   - 139564766909992667/115852476579840000 * n^12
-   - 3704835620812833323/5560918875832320000 * n^13
-   + 498841790610177443141/204363768686837760000 * n^14
-   + 39982484505071686289633/174390415946101555200000 * n^15
-   - 356813950170946951528704559/99271744277318310297600000 * n^16
-   + 15060663961223625760663/21138232235891097600000 * n^17
-   + 38394769836703949013594096271/9359907317575726399488000000 * n^18
-   - 175303180605302340156213620047457/109024200435122061101236224000000 * n^19
-   - 4999297133725717096793715285507829/1226522254895123187388907520000000 * n^20
-   + 130827473840213685129346417144165899127/55558732541738202337189979750400000000 * n^21
-   + 36940598630244479002168059481052336008621/10875621895045253107504938536140800000000 * n^22
-   - 526486046546475419696035545214440337907/215492198539596346402574633533440000000 * n^23
-   - 181704492729012922104603484325333564859103969/66558805997676949017930223841181696000000000 * n^24
-   + 16251647159655239438323473490445618080618846399/7202872969057694555540376223685699174400000000 * n^25
-   + 341205978466077200076092703065430429896507462203/161292905414256231654421996151819049369600000000 * n^26
-   - 897269639413978000885629059505489580735895982361633/465305593801127068287908304050096166666240000000000 * n^27
-   - 399121663633099371655729890858867495172854098268708589/248291717908219414909110750124171815494772326400000000 * n^28
-   + 40132241906468687661336733055001237954868039321697804833/25223285628771496117750933345947613002643537920000000000 * n^29
-   + 1896891499373733290268263706761724164585169669418091941816783/1593777443203777332318298787597055335894786569666560000000000 * n^30;
-beta[8]
-   = 191773887257/3719607091200 * n^8
-   - 17822319343/336825216000 * n^9
-   - 497155444501631/1422749712384000 * n^10
-   + 4081516004323/8281937664000 * n^11
-   + 3016420810780677019/2994340933140480000 * n^12
-   - 41961075720314059/21502921789440000 * n^13
-   - 14085528104367162867569/8992005822220861440000 * n^14
-   + 10746171896356804622543/2308215780257587200000 * n^15
-   + 13662158833536453560398591327/11118435359059650753331200000 * n^16
-   - 57341614923409542539239823/7238564686887793459200000 * n^17
-   + 144453057736406779924709655689/542023723754157974224896000000 * n^18
-   + 887382930255915812302412329/81992895194724433920000000 * n^19
-   - 2060398135313747799783225762752903/741970252961247360272302080000000 * n^20
-   - 10832617062792890567329480261903684747/885060375573344165649815961600000000 * n^21
-   + 10495965053853858396700728872356351447/2011024758699196210707274137600000000 * n^22
-   + 2827633829976426948425669998692889423/232406442150553432674163438387200000 * n^23
-   - 413070973425124733081767504737914466664159819031/59317777392239837516214863018588110848000000000 * n^24
-   - 192169586323003861221251799348718483715643402161/17652874435161653033977716034322300928000000000 * n^25
-   + 1383590112272607978551162261646356694508727283546677/183025002143756018656280959843853616021504000000000 * n^26
-   + 42340030181859331179384696226318556087021301196292587/4618521538471343283279589846059743591792640000000000 * n^27
-   - 41375761937244157344578465659087922365834839154673258123/5675239266473586626493960002838212925594796032000000000 * n^28
-   - 20325331939679357943380416802660356668728866279500649633/2734164750775035223701517188867368206341242880000000000 * n^29
-   + 26392423128042468212590130065257380662845826882235929755361/4017520183960092210271288782654341375876703191040000000000 * n^30;
-beta[9]
-   = 11025641854267/158083301376000 * n^9
-   - 492293158444691/6758061133824000 * n^10
-   - 3340781295639871/6360528125952000 * n^11
-   + 230755947172792843/315376186245120000 * n^12
-   + 2325760279413600365521/1332149010699386880000 * n^13
-   - 348782269044368632301/108224036583505920000 * n^14
-   - 136098374245460277375071/40852569661447864320000 * n^15
-   + 239596529464231037411713/27496921887512985600000 * n^16
-   + 35364463403763955482475445281/9177121248747648240844800000 * n^17
-   - 184592588983229841779643912853103/10840474475083159484497920000000 * n^18
-   - 104873550118556639023307009752009/57815863867110183917322240000000 * n^19
-   + 7665339074386065543669975721317792709/290481354034328341546606264320000000 * n^20
-   - 138062270900799459529491732714711746071/42901861518916185828421848268800000000 * n^21
-   - 17357777314150207521711937000950161082441881/505716418119604269498979641930547200000000 * n^22
-   + 4926642534361691999909217208854551999460491/475968393524333430116686721816985600000000 * n^23
-   + 10015652615289525910183306384331679276443744239/259601094634730191676142882857680896000000000 * n^24
-   - 116738227431164324545575763544019189664534311289453/6778703783102074765047442957179763556352000000000 * n^25
-   - 84974069676491141925432663367251874389066142853087/2178869073139952603050963807664924000256000000000 * n^26
-   + 3976320059916609695369389466291419325879319135434479/178432977000364290589635917840602808451072000000000 * n^27
-   + 1586328506886857290329263116615881138694586692983247121/43790426438839402982206481503381272574033920000000000 * n^28
-   - 80406545804397163817501103989422456991161536019523815972843/3266415488925908747248745868300215883842338160640000000000 * n^29
-   - 96019711772725383787880372103741416386264796387585150918847311/3025517346617622977139150860513074962408965721292800000000000 * n^30;
-beta[10]
-   = 7028504530429621/72085985427456000 * n^10
-   - 1396721719354981/13516122267648000 * n^11
-   - 242069739433316973869/299733527407362048000 * n^12
-   + 19998425063839930261/17952789402003456000 * n^13
-   + 2005763449529247335066903/661811628515455401984000 * n^14
-   - 1210830366517042702115957/224800145555521536000000 * n^15
-   - 1753821857771614575775682513/258106535121027606773760000 * n^16
-   + 332272605573163585761859289/20456813245552459776000000 * n^17
-   + 344973470391758976060874801536373/34689518320266110350393344000000 * n^18
-   - 2237438243573786540754649786424759/62874751955482325010087936000000 * n^19
-   - 1109701881606701094584605721502811981/126755499942252367220337278976000000 * n^20
-   + 627358150977452113555749190570504329703/10130537221947200911437893468160000000 * n^21
-   - 9310014587788716960656374062579608860273/311210103458218011999372087341875200000000 * n^22
-   - 446788868484797840813986816673961950907461/4958004099211806563715486685593600000000 * n^23
-   + 1592669172541355914905142337333376652510632300857/95325521949872926383479666585340425011200000000 * n^24
-   + 112875421374453323075239925362172217825744049933/992974186977842983161246526930629427200000000 * n^25
-   - 11164164940636962806588613537158861808945650584917881/292840003430009629850049535750165785634406400000000 * n^26
-   - 36738853303604438684911490335783868504502367676508134849/287806815871056339337001809354459811193815040000000000 * n^27
-   + 216582649507727909201718946529683408391594400595766366243093/3674717425041647340654839101837742869322630430720000000000 * n^28
-   + 4070973538524250670523695550641268121153963563101596930691/31101124040066025669604758023366313347131637760000000000 * n^29
-   - 2373100737803367912157154987764399515404306692774646531223199381/31685418030031833360584561739191475969955713735720960000000000 * n^30;
-beta[11]
-   = 20180430688893997/144171970854912000 * n^11
-   - 39227670225311092139/261131482210959360000 * n^12
-   - 15850794471105785046511/12534311146126049280000 * n^13
-   + 250199410574189500301/144626667070685184000 * n^14
-   + 137588598842474725924656737/26071367183942182502400000 * n^15
-   - 2668119315218475090518868331/293302880819349553152000000 * n^16
-   - 147889032611857077276756370409/10949974217255716651008000000 * n^17
-   + 107809340048140291312939137043109/3572429088379677557391360000000 * n^18
-   + 6793119291340068971080115425271339/288802688407957090955427840000000 * n^19
-   - 6754847041326342703335830346240936391/92384494472017791155888455680000000 * n^20
-   - 64145623999655583749753779305277081997/2304645453495497585824314163200000000 * n^21
-   + 2737268880658025692322671196199068915388587/19450631466138625749960755458867200000000 * n^22
-   + 63226986025671434632048293692546868186915331/3847688551847059057446782170772275200000000 * n^23
-   - 1090700244153262995408297323217157326170412252281/4814420300498632645630286191178809344000000000 * n^24
-   + 55625038880876569156054733788858925319816102829/3136997842858837560953670640406102016000000000 * n^25
-   + 6071056974043791221702396204511472430847588724030069/19238423520792536051938623619950522138624000000000 * n^26
-   - 1146269064361582904187395791106052397722761459105729423/15595948667522482559438244214573223280377856000000000 * n^27
-   - 106019806434003656675170902610826150161372006096027080991357/271427991622394405843823342749378734665876111360000000000 * n^28
-   + 261700017996377874094049879699967368736409082839966183897/1848807094916266706471338222217990529865482240000000000 * n^29
-   + 5564919878581209713189603625962524384371461254179337341860987383/12686544328430714529140303040105962058283049444966400000000000 * n^30;
-beta[12]
-   = 170866240186706518133/831839653739888640000 * n^12
-   - 213377450872182833497/957482101440184320000 * n^13
-   - 6175888888953945958057483/3072696846678900080640000 * n^14
-   + 1699533901862334396426791/622363365936119808000000 * n^15
-   + 1110507543583378006712775869269/120449716389812883161088000000 * n^16
-   - 410039885606415108766607293/26460299485682270208000000 * n^17
-   - 1868368333536354056091172181516467/70734095949917615636348928000000 * n^18
-   + 38905214964730326413906323913167/694966079629641887907840000000 * n^19
-   + 2767874903566891102867927978915243454399/52392273309464311784406075310080000000 * n^20
-   - 20032373737511717465214006054179506710383/135073829625962678819171912908800000000 * n^21
-   - 100577682847890502637160841018962740658759229/1322642939697426550997331371202969600000000 * n^22
-   + 135919298571923883567006460953143491460279/435079914374153470722806372106240000000 * n^23
-   + 3510216107422604000609260948095627318487208075137/48884883051216885324861367479661756416000000000 * n^24
-   - 101070009063831782999779504525998847565124914603267/183700224590900951884830607482166444032000000000 * n^25
-   - 290915990038543653257693921668246116917159442076793/22092475361789230960742705145987138060288000000000 * n^26
-   + 87749504586448696585237158790684148758827946213899707/104709128016813542574353446264834873098240000000000 * n^27
-   - 24637643848282085933220710334515754322900635607050021800141/214101183307748640575968216577661209193027207168000000000 * n^28
-   - 21317214475850887868873427382826252613387447653666787141648689/18832926803338442620856050396918432205278480957440000000000 * n^29
-   + 3923499613488828643584115055056306377586308324262330823616543131/12820086900308932576815464124738656395738660491755520000000000 * n^30;
-beta[13]
-   = 18814610183483742537419/61278854492171796480000 * n^13
-   - 46368551984271450700489/137877422607386542080000 * n^14
-   - 23268635133649915499415221/7193604657776689152000000 * n^15
-   + 445607162860807165073496089/101984636074370531328000000 * n^16
-   + 133255376497039560923384901787/8246409857103065776128000000 * n^17
-   - 17940677571433980181912441444683151/674694453676137256839020544000000 * n^18
-   - 2757949059159666555325445738852023379/53975556294090980547121643520000000 * n^19
-   + 24878591848279833324547251174969715273/239776028921827240507405762560000000 * n^20
-   + 15564548980094931213936099440270052236488729/135655686122812979589469884225945600000000 * n^21
-   - 30311212070549573455862406697198244599608233/101741764592109734692102413169459200000000 * n^22
-   - 62329425035966782423701548637355352965648981/325573646694751151014727722142269440000000 * n^23
-   + 623169776009883975758448302456707372300199400409/915354591546065160435157184588808192000000000 * n^24
-   + 9796262122721002376057350329922999007473366798297439/42296704966160578933387743185479648935936000000000 * n^25
-   - 6972722553962255796263966532090565610961098085631862003/5361107354460853379806896448759545502629888000000000 * n^26
-   - 204621385793344479983894287397851209945711725896319703509/1286665765070604811153655147702290920631173120000000000 * n^27
-   + 16994612718512721017891137595235443147803252876143561437699/7912994455184219588594979158369089161881714688000000000 * n^28
-   - 2017139943063547149336991050682980115243753114376812382829593/20257265805271602146803146645424868254417189601280000000000 * n^29
-   - 38559351426567355385426086606064720807546966166200767527984103843/12275103449081224916667438321865150759482563588259840000000000 * n^30;
-beta[14]
-   = 8913139575903156465851797/19119002601557600501760000 * n^14
-   - 267685764482874813822622157/519797883229847263641600000 * n^15
-   - 1312607511537430955013430449229/249502983950326686547968000000 * n^16
-   + 394441446207451421108383701253/55778311315818225598464000000 * n^17
-   + 23930383074197527389616417665944303/842355620435993694012702720000000 * n^18
-   - 3163985271870363313136985965093069527/68915219196919734091414241280000000 * n^19
-   - 11031130611852394131866851413708829814267/112469637729373006037188041768960000000 * n^20
-   + 82762604768504677943482108437799827136297/430547831932756038736110472396800000000 * n^21
-   + 5150460631556395571372500982024919497071310731/21162287035158824815957301939247513600000000 * n^22
-   - 29066497085581091842637088116335089148411714769/48937788768804782386901260734509875200000000 * n^23
-   - 18574016067923889310355562046347950371431867757801/40573875779227237760776317990793641984000000000 * n^24
-   + 2915644146751542300994700670854893964155460634998359/1994459581272638906178160881234949963776000000000 * n^25
-   + 44136416359780678842389174803925334595468092209791307/67329448721643370547025387111579849326592000000000 * n^26
-   - 19779807925985904471082228799863307496144797516514281/6575618800968119560003273400983467589632000000000 * n^27
-   - 9437414987664054735309211086890504857237214217749919547327367/14401649908435279651242862068231742274624720732160000000000 * n^28
-   + 10935173238809263052452436833453551042581316812365555123043/2044824288298806744648942931549704531015106560000000000 * n^29
-   + 9844133982291098741335196902427881991238566220082170652715161789559/44842293877181429376249317540178305362708067588977459200000000000 * n^30;
-beta[15]
-   = 602749854274775522930992007/840077387038136991744000000 * n^15
-   - 432388677389347815771203181653/541421475172208909809090560000 * n^16
-   - 509985088489059649186381056338807/59064160927877335615537152000000 * n^17
-   + 557542563821291613858429695152674917/48240653437843813863989968896000000 * n^18
-   + 228594885325983207294554048445139632797/4563985299162962563827920535552000000 * n^19
-   - 4879838474674757743673587551351918389761/61233469430436414398024600518656000000 * n^20
-   - 2751159808671003044739048717767661132425533/14696032663304739455525904124477440000000 * n^21
-   + 128125601507169052141729932672077247523358897/359836682123564576374273975989043200000000 * n^22
-   + 30192393359192032330697554623405270813965905808153/59508351142866615382471933053164008243200000000 * n^23
-   - 4779918733110943106587948891017151456334707858595371/4061444965500646499853709430878443562598400000000 * n^24
-   - 43635999640355928220666371208517025763949804332853/41311582611576823901881341954262617292800000000 * n^25
-   + 1093615732500524413310474447806551664943154712853580337/352628986416409072575533830586857805787955200000000 * n^26
-   + 12242342315633438381845240050057352332923530458934703251/7112724086411810733447920053364873798615040000000000 * n^27
-   - 201490867217252848518061423700123290704826593788569337593504193/29489092669653191666830622330188805609945856737280000000000 * n^28
-   - 177101515631733926913192960801449153246340895052913001485847913/83263320479020776471051168932297804075141242552320000000000 * n^29
-   + 3188424179872321062468258619737006762022989524905745242529616829657/245231294640835941901363455297850107452309744627220480000000000 * n^30;
-beta[16]
-   = 258111286167289650792323028754789/231006496073475801518545305600000 * n^16
-   - 5263782718468783726282279549/4203582881771808305971200000 * n^17
-   - 5480008133286071057255185152124708229/383668354827295829561557647360000000 * n^18
-   + 3254656358469551348762078052918542501/170852314259030174101631139840000000 * n^19
-   + 3903418284121815685136619157954211820691189/44088097989914218366577712373432320000000 * n^20
-   - 1475869269349982196110739285641411486418113/10620179854341315622157391652454400000000 * n^21
-   - 165406053235626113240302780087909075941876233947/464908993303645432675561976977843814400000000 * n^22
-   + 31141324189381440915034448751509805569920381009/47217319632401489256111763286812262400000000 * n^23
-   + 3425331498104147467678431771772144489569980472050747/3281975729697492121093906610810863484928000000000 * n^24
-   - 181114801957939134097279485499338367321177700348427827/78055895430715549919063478124695087218688000000000 * n^25
-   - 20329880662120223623532772221831681492746536794968375279/8563846812969934619691535885680832426278912000000000 * n^26
-   + 15514402521245792750246961997116209460024931536101177881/2381963776692158394304324203418114597060608000000000 * n^27
-   + 58528872092571805627208033537162293354868952581483996308205593/13610350462916857692383364152394833358436549263360000000000 * n^28
-   - 2739294316618535857897844520835697665418072257962762663947501/179187195041295435475533295409133367421546004480000000000 * n^29
-   - 28963918619355858559987610778078259702157647632421717394029814967389/4700266480616022219776132893208793726169270105355059200000000000 * n^30;
-beta[17]
-   = 5972486266662395092991359700731/3397154354021702963508019200000 * n^17
-   - 14169262403755308738265442730293527/7146763472273157609479995392000000 * n^18
-   - 1407123059162889531671157095700694121/59145628736053718147420651520000000 * n^19
-   + 31616271318862027601140911742786459816003/999546339232123823261872155525120000000 * n^20
-   + 33847994330735322699501662950595147934349517/215760061865017024098184001381990400000000 * n^21
-   - 86502185255596416338989303038079495440176441813/355518641938081801457782688277174681600000000 * n^22
-   - 1381419926651852376155125702746693024900887647/2049837214778129305702530815291817984000000 * n^23
-   + 2039800582062773533252062008847436810010590704673393/1669644822047391442119004879672622186496000000000 * n^24
-   + 6658940828673534449931395737435432548555706698080023117/3134479879256969534004745160772069384781824000000000 * n^25
-   - 1381470469487772782735900360391332279866899387998419366549/303260928318111802414959094304697712977641472000000000 * n^26
-   - 1395295684620560872662304928419977863449010608559002595498087/266869616919938386125164002988133987420324495360000000000 * n^27
-   + 3800355884806913283793161651067966638660881579408061104605403/280213097765935305431422203137540686791340720128000000000 * n^28
-   + 14254272866295825003590094337320088635299910217415520581006075573/1374912266371522565316844943394866303189511800094720000000000 * n^29
-   - 702046212944594816164772022402471437675208441448777951843503358652627/20791767020136757113362658445253016953407594818982379520000000000 * n^30;
-beta[18]
-   = 32561519486094387080527719588034341533/11663517986749793218671352479744000000 * n^18
-   - 729907719647457582367271201256463879/230528934567170058275021389824000000 * n^19
-   - 2367236104332471655932050118751689811238261/59375350358064550788705233330503680000000 * n^20
-   + 277337936278972764824727659347223162007380783/5246368848044609917345751476312473600000000 * n^21
-   + 2072215526282883572284838680097819963389051894913/7438543892858326922808991631645501030400000000 * n^22
-   - 21187399770302239981520985962108187969123956327017/49559298686168603123214906745838150615040000000 * n^23
-   - 117781246505279918774486020036924169110810872979542077/92510690880848059163334492592231214481408000000000 * n^24
-   + 15346233021039229146148984542248316965482710596146903/6780613138425795245494403150226037879603200000000 * n^25
-   + 23577648358032142021574052998960694124312121496108401309501/5499131500168427350457924910058518528661232025600000000 * n^26
-   - 25523104372278110417409133482492688317169934216303321881481/2864130989671055911696835890655478400344391680000000000 * n^27
-   - 4904614526502535650801519867527379473641587091534278367071269/432842750524368215007154889587272725078179640770560000000 * n^28
-   + 21605254007739675177136169588021592098439361907000904630780859/770695057717401985738931667124429059082325852160000000000 * n^29
-   + 587901467817860255311504068569140875259033445501764848866062463918953/24168207818278623653139500414994959877465238422064988160000000000 * n^30;
-beta[19]
-   = 428624286990709813412232185601376712413/95900036779942744242408898166784000000 * n^19
-   - 7696493507391194218978151080255673578313/1510425579284098221817940146126848000000 * n^20
-   - 527610184507500637130291508233596994938727387/7854213012277310753453288759859609600000000 * n^21
-   + 11361451298084078444421426214576116338438506193/127861967714573279471658686134773350400000000 * n^22
-   + 413731746541624122896290630838483865650422207002637/834682925240734368390987903087800431411200000000 * n^23
-   - 193620425636569480838170976533462900238070466349524697/256949550508766977723998435166460382806016000000000 * n^24
-   - 132662492287173341243380190879466905201764211256445800247/55272703309441429874851218942474144568049664000000000 * n^25
-   + 13146789691243844636190690725166722508695370878744595367/3135216364191005476094501914804205679280128000000000 * n^26
-   + 37750506608225008520506075562486792560657544757045773087576929/4393516640660880377892173691299384803425131692032000000000 * n^27
-   - 708261955363343231843730776055545581965081551994723487001141417/40755647785077903505447137531132451137035761090560000000000 * n^28
-   - 41215834581264644962808643579846154211341882270808962207078377401/1700549382091093699207676640514703059208080384327680000000000 * n^29
-   + 205978745011375578132532475847110147598943760061270638697653240745727/3577530762574138369708149732482806560808999108529356800000000000 * n^30;
-beta[20]
-   = 4413022171315891282875633078306076423077823/612225834803154479243538405896749056000000 * n^20
-   - 20372356369389063598321199048537111545322489/2467109651840332692314561267713966080000000 * n^21
-   - 8350441420653344994230757754481656794198878169653/73421183238768300923281343327167630540800000000 * n^22
-   + 3602842136240118426653037995310224523478929843329/23998309048482544305160371509809014374400000000 * n^23
-   + 556742892772424708949943649093699359972707482370822028429/630108817727632300573303895944205248075766169600000000 * n^24
-   - 19669578953730635368229268600445326314943118813499628227/14768175415491382044686810061192310501775769600000000 * n^25
-   - 58913853325627285400915530112249848640529228986228560671583/13043252526961988621867390646045048635168359710720000000 * n^26
-   + 6202219939216563039972447651959676151814355411005403328908487/798219881207309199515322083807444382620980346880000000000 * n^27
-   + 4029539464888473312146356584746881268371745066400450670075103971919/235404621606609970647462666379821037767518556059074560000000000 * n^28
-   - 96689844226844260169337694369507826490314199510140141134776628313/2860820054246996171062914348365880667313593563217920000000000 * n^29
-   - 1267431993370297356535644841552515784699654333219083107594851764271651/24717485268694046917983579969881208965589448386202828800000000000 * n^30;
-beta[21]
-   = 6364309775760426912861320334716314963236880099/543860616583468895728009950571612078080000000 * n^21
-   - 163511162729184839208619679935376666925954633509/12142734151027065152696529857954646589440000000 * n^22
-   - 293082088716477537348152181351392414509711063444079/1515413222048177731056526926272739894362112000000 * n^23
-   + 3584068349124466527596686906788906996841447765124034119/14064928967134649566368390534468867144548352000000000 * n^24
-   + 65325328354812776334115933271141213585155594697569614279619/41407150879244408323388541733476344873550348288000000000 * n^25
-   - 295262389665020199502850268061912716873799689551659695461801/125108748728002748005666808237574956296512838041600000000 * n^26
-   - 198220070520799681801810036957883626038127951175197474869802841/23353633095893846294391137537680658508682396434432000000000 * n^27
-   + 9203041943910402313157326557559771543787851843067288847306443759/639119373821137442471502141656207383123249625825280000000000 * n^28
-   + 223639420140739590352779061494286234859561093634481454398610059052269/6591329404985079178128954658634989057490519569654087680000000000 * n^29
-   - 7514702451752062815378233648033968164404526829002371317311008928464377/114599249882126944801560234405812877931369260699667660800000000000 * n^30;
-beta[22]
-   = 4597258274619973879852787439286345056927543926539/240541781277488528739131258138530141962240000000 * n^22
-   - 90547738027796418205837133798540945489664737617/4100143999048099921689737354634036510720000000 * n^23
-   - 120833998747258442540330733531559589117031890572073705423/365972293124634922050151252694866684488450048000000000 * n^24
-   + 700385303317244963533430016841479945264946535743006370213/1612565416580422625283478957186756328527233024000000000 * n^25
-   + 41927528317378886896874815834318257768184011744864991769792173/14861402879205174914612542069433146323706979549184000000000 * n^26
-   - 1883738571943229874285781147684391885621206162239253551981097/449437587072737144595137360970760473499203010560000000000 * n^27
-   - 1193194903894549620369066288907357112160028172942643483767868101/74901470511194081569647212029943057471483176927887360000000 * n^28
-   + 16593315611956986881113970672924159996956254881446619306408644351/621740722016747747404298146732925770026959964733440000000000 * n^29
-   + 11172709187913729666978241526344191734961305583177742422182451010341965837/166856507828376831631071701294863550268073643578716114124800000000000 * n^30;
-beta[23]
-   = 105692798364122771092494104410403169316822970007103/3367584937884839402347837613939421987471360000000 * n^23
-   - 4991587424316475527559827056175081831817518759624141283/137107011264808880217339273654526141942412083200000000 * n^24
-   - 1094971199704775675327145588577419573356229203017369297031/1935628394326713603068319157475663180363464704000000000 * n^25
-   + 55016459854774144990504572561411573956468991982011620879183/74037786082996795317363207773444116648902524928000000000 * n^26
-   + 239397211441168562919535061028225053930721123237942287411752901/47384183093117949003112452975004234655297615953920000000000 * n^27
-   - 3785206531097832093379025924494221733602175663051851724063493677/507484600927293233823334371362295353158237466866483200000000 * n^28
-   - 2878530207214341630613762260409649820059076958972834659710423583641/96377945080452906319144544961326352286747011098817331200000000 * n^29
-   + 4793620231717494054901024202427349307198672366940440795548189424277463/96899050172071924049425843362418567717916189402962329600000000000 * n^30;
-beta[24]
-   = 674454707484204643577912579775944698106967657841301509703/13020743263341849785801510375449192318660037836800000000 * n^24
-   - 14426118473738594318758580084527169080893428452291501/239224795864861496358580131547117377080524800000000 * n^25
-   - 8831250255802996377564597692702488675170603573810490306068589/9081968426180940225596553486875811642265376391168000000000 * n^26
-   + 8524975532343064334059520385109401209472880856691153037771/6682542557352665505329874016485837860046372864000000000 * n^27
-   + 3849014409982539112685345447510980453367887363991057306125975552515257/424866107896329895356895535704513669664076407260619735040000000000 * n^28
-   - 7018181262756669326759909066253824968190524410099850934366975116824761/527763368402472291888643673257950574035844912144051077120000000000 * n^29
-   - 850361604060552572056063294333220546778996672875303006775383312452755647779/15199585009991202006392937789828976532232333469748671021056000000000000 * n^30;
-beta[25]
-   = 199227752516955126043105919223151730212773157895262123371/2319787592894237605516361043901867597002650419200000000 * n^25
-   - 1168128087731386349278531921296393465205853015166911689601/11643549264334538750764812162661296977263303065600000000 * n^26
-   - 27390759516798680521492333486028666245475773964938356987895799/16337932618526559135993799923480296076032952238080000000000 * n^27
-   + 16623553892978221252992741635428809183176541795604885967233054812289/7566499905411789131019980978608610380442220962638725120000000000 * n^28
-   + 1391206775167565949946814294410548218174156897307634862471204069769203/85538095796791963737570611176977111081466475155984220160000000000 * n^29
-   - 309601436775289074939542822961271536740569529708755160589227851116770297/13036681100187385736477373542933235232324028706996910817280000000000 * n^30;
-beta[26]
-   = 20988866881167764922693397699209941026240719371894993737321/146779287695853579403580662414154531592167699251200000000 * n^26
-   - 20776782371826844247557167727961747229906685936639469810900161/123982629575591320352462040782956155904259153461248000000000 * n^27
-   - 56519161473334888467049876826142477266800694645666348046158762501/19499565911122788086072327775906636264771992816713728000000000 * n^28
-   + 713184336250531653186104175190769152673340166708863511978540935479/187949917522247967196810424949412597591112860450160640000000000 * n^29
-   + 222786377756937595153775101581958876025910578503920819534055082789529097879/7621444335494163969017541455868660597358662936398194016256000000000000 * n^30;
-beta[27]
-   = 1159063206283901297028135487345019691847337244400674181558705769/4849098401178682751562959817288951875366580224262144000000000 * n^27
-   - 836866364429699038099446680535614249403163042061868319644600230131/2978558692924005880147548067769738689443921902753021952000000000 * n^28
-   - 276258332981610143691601963914139654258026350011955431757944008776431/54988775869366262402723964328056714266657019743132712960000000000 * n^29
-   + 231942644768785218497452105692225263551992039422426853153865797716482578787/35296814078757346881512488867491734391517307724194136037785600000000000 * n^30;
-beta[28]
-   = 4820642953919212694667891843709465549522940845258602976903974801919/12021570220089681390145058868115702097935828940841025536000000000 * n^28
-   - 1407966726686721532660580475865160144206500909159825439202238905333/2978558692924005880147548067769738689443921902753021952000000000 * n^29
-   - 2269078966250518419628311750199082816400532696920651885729048451938814396007/259963837024498554809869759278034361232762393397239351135436800000000000 * n^30;
-beta[29]
-   = 2257448691193994841515777396189088185825275740674810644118087064739/3344346602581339935604264497144969756568614066249007104000000000 * n^29
-   - 190079826774799091739713735364123004573671877623337777048243884284125889/238239614545595134106590801450823661272646492861713602314240000000000 * n^30;
-beta[30]
-   = 46619651201884945136956267547124218081125978370322440448000334604980392416839/40900977025187772623419508793077406167287949894498991245308723200000000000 * n^30;
-
- - diff --git a/libs/GeographicLib-1.50.1/doc/utilities.html.in b/libs/GeographicLib-1.50.1/doc/utilities.html.in deleted file mode 100644 index d92eb00824b863e9b120ad67872dbc9491b25989..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/doc/utilities.html.in +++ /dev/null @@ -1,24 +0,0 @@ - - - GeographicLib-@PROJECT_VERSION@ utilities - - - -

-
- - Online documentation for utilities for GeographicLib version - @PROJECT_VERSION@ is available at -
- - https://geographiclib.sourceforge.io/@PROJECT_VERSION@/utilities.html. -
-
- You will be redirected there. Click on the link to go there - directly. - -
-

- - diff --git a/libs/GeographicLib-1.50.1/doc/vptree.gif b/libs/GeographicLib-1.50.1/doc/vptree.gif deleted file mode 100644 index 4f70cce6bcbaf9b4dcdf64dafa1d87790e5e0fa1..0000000000000000000000000000000000000000 Binary files a/libs/GeographicLib-1.50.1/doc/vptree.gif and /dev/null differ diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Accumulator.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Accumulator.cpp deleted file mode 100644 index 47946c4953f88e621b183ba64df79ac1f451aae3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Accumulator.cpp +++ /dev/null @@ -1,99 +0,0 @@ -/** - * \file NETGeographicLib/Accumulator.cpp - * \brief Implementation for NETGeographicLib::Accumulator class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Accumulator.hpp" -#include "Accumulator.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -Accumulator::!Accumulator(void) -{ - if ( m_pAccumulator != NULL ) - { - delete m_pAccumulator; - m_pAccumulator = NULL; - } -} - -//***************************************************************************** -Accumulator::Accumulator(void) -{ - try - { - m_pAccumulator = new GeographicLib::Accumulator(); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr("Failed to allocate memory for a GeogrpicLib::Accumulator"); - } -} - -//***************************************************************************** -void Accumulator::Assign( double a ) -{ - m_pAccumulator->operator=( a); -} - -//***************************************************************************** -double Accumulator::Result() -{ - return m_pAccumulator->operator()(); -} - -//***************************************************************************** -void Accumulator::Sum( double a ) -{ - m_pAccumulator->operator+=( a ); -} - -//***************************************************************************** -void Accumulator::Multiply( int i ) -{ - m_pAccumulator->operator*=( i ); -} - -//***************************************************************************** -bool Accumulator::operator == ( Accumulator^ lhs, double a ) -{ - return lhs->m_pAccumulator->operator==( a ); -} - -//***************************************************************************** -bool Accumulator::operator != ( Accumulator^ lhs, double a ) -{ - return lhs->m_pAccumulator->operator!=( a ); -} - -//***************************************************************************** -bool Accumulator::operator < ( Accumulator^ lhs, double a ) -{ - return lhs->m_pAccumulator->operator<( a ); -} - -//***************************************************************************** -bool Accumulator::operator <= ( Accumulator^ lhs, double a ) -{ - return lhs->m_pAccumulator->operator<=( a ); -} - -//***************************************************************************** -bool Accumulator::operator > ( Accumulator^ lhs, double a ) -{ - return lhs->m_pAccumulator->operator>( a ); -} - -//***************************************************************************** -bool Accumulator::operator >= ( Accumulator^ lhs, double a ) -{ - return lhs->m_pAccumulator->operator>=( a ); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Accumulator.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Accumulator.h deleted file mode 100644 index 3402a7434f24fe0fa9709aaa25fbc2ae081eba14..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Accumulator.h +++ /dev/null @@ -1,116 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/Accumulator.h - * \brief Header for NETGeographicLib::Accumulator class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /*! - \brief .NET wrapper for GeographicLib::Accumulator. - - This class allows .NET applications to access GeographicLib::Accumulator. - - This allow many numbers of floating point type \e double to be added together - with twice the normal precision. The effective - precision of the sum is 106 bits or about 32 decimal places. - - The implementation follows J. R. Shewchuk, - Adaptive Precision - Floating-Point Arithmetic and Fast Robust Geometric Predicates, - Discrete & Computational Geometry 18(3) 305--363 (1997). - - C# Example: - \include example-Accumulator.cs - Managed C++ Example: - \include example-Accumulator.cpp - Visual Basic Example: - \include example-Accumulator.vb - - INTERFACE DIFFERENCES:
- Since assignment operators (=,+=,-=,*=) are not supported in managed classes; - - the Assign() method replaces the = operator, - - the Sum() method replaces the += and -= operators, and - - the Multiply() method replaces the *= operator, - - Use Result() instead of the () operator to obtain the summed value from the accumulator. - */ - public ref class Accumulator - { - private: - // Pointer to the unmanaged GeographicLib::Accumulator. - GeographicLib::Accumulator* m_pAccumulator; - // The finalizer releases the unmanaged object when this class is destroyrd. - !Accumulator(void); - public: - //! \brief Constructor. - Accumulator(void); - //! \brief Destructor calls the finalizer. - ~Accumulator() { this->!Accumulator(); } - /*! - \brief Assigns a value to an accumulator. - \param[in] a The value to be assigned. - */ - void Assign( double a ); - //! \brief Returns the accumulated value. - double Result(); - /*! - \brief Adds a value to the accumulator. - \param[in] a The value to be added. - */ - void Sum( double a ); - /*! - \brief Multiplication by an integer - \param[in] i The multiplier. - */ - void Multiply( int i ); - /*! - \brief Equality operator. - \param[in] lhs The accumulator. - \param[in] a The value to be compared to. - \return true if the accumulated value is equal to a. - */ - static bool operator == ( Accumulator^ lhs, double a ); - /*! - \brief Inequality operator. - \param[in] lhs The accumulator. - \param[in] a The value to be compared to. - \return true if the accumulated value is not equal to a. - */ - static bool operator != ( Accumulator^ lhs, double a ); - /*! - \brief Less than operator. - \param[in] lhs The accumulator. - \param[in] a The value to be compared to. - \return true if the accumulated value is less than a. - */ - static bool operator < ( Accumulator^ lhs, double a ); - /*! - \brief Less than or equal to operator. - \param[in] lhs The accumulator. - \param[in] a The value to be compared to. - \return true if the accumulated value is less than or equal to a. - */ - static bool operator <= ( Accumulator^ lhs, double a ); - /*! - \brief Greater than operator. - \param[in] lhs The accumulator. - \param[in] a The value to be compared to. - \return true if the accumulated value is greater than a. - */ - static bool operator > ( Accumulator^ lhs, double a ); - /*! - \brief Greater than or equal to operator. - \param[in] lhs The accumulator. - \param[in] a The value to be compared to. - \return true if the accumulated value is greater than or equal to a. - */ - static bool operator >= ( Accumulator^ lhs, double a ); - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AlbersEqualArea.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AlbersEqualArea.cpp deleted file mode 100644 index 70a8824585e9391de7d90e65476201fcb4b6ef14..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AlbersEqualArea.cpp +++ /dev/null @@ -1,186 +0,0 @@ -/** - * \file NETGeographicLib/AlbersEqualArea.cpp - * \brief Implementation for NETGeographicLib::AlbersEqualArea class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/AlbersEqualArea.hpp" -#include "AlbersEqualArea.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -AlbersEqualArea::!AlbersEqualArea() -{ - if ( m_pAlbersEqualArea != NULL ) - { - delete m_pAlbersEqualArea; - m_pAlbersEqualArea = NULL; - } -} - -//***************************************************************************** -AlbersEqualArea::AlbersEqualArea( StandardTypes type ) -{ - try - { - switch ( type ) - { - case StandardTypes::CylindricalEqualArea: - m_pAlbersEqualArea = new GeographicLib::AlbersEqualArea( GeographicLib::AlbersEqualArea::CylindricalEqualArea() ); - break; - case StandardTypes::AzimuthalEqualAreaNorth: - m_pAlbersEqualArea = new GeographicLib::AlbersEqualArea( GeographicLib::AlbersEqualArea::AzimuthalEqualAreaNorth() ); - break; - case StandardTypes::AzimuthalEqualAreaSouth: - m_pAlbersEqualArea = new GeographicLib::AlbersEqualArea( GeographicLib::AlbersEqualArea::AzimuthalEqualAreaSouth() ); - break; - } - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::AlbersEqualArea" ); - } -} - -//***************************************************************************** -AlbersEqualArea::AlbersEqualArea(double a, double f, double stdlat1, double stdlat2, double k1) -{ - try - { - m_pAlbersEqualArea = new GeographicLib::AlbersEqualArea( a, f, stdlat1, stdlat2, k1 ); - } - catch ( GeographicLib::GeographicErr err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::AlbersEqualArea" ); - } -} - -//***************************************************************************** -AlbersEqualArea::AlbersEqualArea(double a, double f, double stdlat, double k0) -{ - try - { - m_pAlbersEqualArea = new GeographicLib::AlbersEqualArea( a, f, stdlat, k0 ); - } - catch ( GeographicLib::GeographicErr err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::AlbersEqualArea" ); - } -} - -//***************************************************************************** -AlbersEqualArea::AlbersEqualArea(double a, double f, - double sinlat1, double coslat1, - double sinlat2, double coslat2, - double k1) -{ - try - { - m_pAlbersEqualArea = new GeographicLib::AlbersEqualArea( - a, f, sinlat1, coslat1, sinlat2, coslat2, k1 ); - } - catch ( GeographicLib::GeographicErr err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::AlbersEqualArea" ); - } -} - -//***************************************************************************** -void AlbersEqualArea::SetScale(double lat, double k) -{ - try - { - m_pAlbersEqualArea->SetScale( lat, k ); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} - -//***************************************************************************** -void AlbersEqualArea::Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double lx, ly, lgamma, lk; - m_pAlbersEqualArea->Forward( lon0, lat, lon, lx, ly, lgamma, lk ); - x = lx; - y = ly; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void AlbersEqualArea::Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double llat, llon, lgamma, lk; - m_pAlbersEqualArea->Reverse( lon0, x, y, llat, llon, lgamma, lk ); - lat = llat; - lon = llon; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void AlbersEqualArea::Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y) -{ - double lx, ly, lgamma, lk; - m_pAlbersEqualArea->Forward( lon0, lat, lon, lx, ly, lgamma, lk ); - x = lx; - y = ly; -} - -//***************************************************************************** -void AlbersEqualArea::Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon, lgamma, lk; - m_pAlbersEqualArea->Reverse( lon0, x, y, llat, llon, lgamma, lk ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double AlbersEqualArea::EquatorialRadius::get() -{ return m_pAlbersEqualArea->EquatorialRadius(); } - -//***************************************************************************** -double AlbersEqualArea::Flattening::get() -{ return m_pAlbersEqualArea->Flattening(); } - -//***************************************************************************** -double AlbersEqualArea::OriginLatitude::get() -{ return m_pAlbersEqualArea->OriginLatitude(); } - -//***************************************************************************** -double AlbersEqualArea::CentralScale::get() -{ return m_pAlbersEqualArea->CentralScale(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AlbersEqualArea.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AlbersEqualArea.h deleted file mode 100644 index 2109cc44649fea4edfd4a9c15fb9ee806391c329..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AlbersEqualArea.h +++ /dev/null @@ -1,264 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/AlbersEqualArea.h - * \brief Header for NETGeographicLib::AlbersEqualArea class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET Wrapper for GeographicLib::AlbersEqualArea. - * - * This class allows .NET applications to access - * GeographicLib::AlbersEqualArea - * - * Implementation taken from the report, - * - J. P. Snyder, - * Map Projections: A - * Working Manual, USGS Professional Paper 1395 (1987), - * pp. 101--102. - * - * This is a implementation of the equations in Snyder except that divided - * differences will be [have been] used to transform the expressions into - * ones which may be evaluated accurately. [In this implementation, the - * projection correctly becomes the cylindrical equal area or the azimuthal - * equal area projection when the standard latitude is the equator or a - * pole.] - * - * The ellipsoid parameters, the standard parallels, and the scale on the - * standard parallels are set in the constructor. Internally, the case with - * two standard parallels is converted into a single standard parallel, the - * latitude of minimum azimuthal scale, with an azimuthal scale specified on - * this parallel. This latitude is also used as the latitude of origin which - * is returned by AlbersEqualArea::OriginLatitude. The azimuthal scale on - * the latitude of origin is given by AlbersEqualArea::CentralScale. The - * case with two standard parallels at opposite poles is singular and is - * disallowed. The central meridian (which is a trivial shift of the - * longitude) is specified as the \e lon0 argument of the - * AlbersEqualArea::Forward and AlbersEqualArea::Reverse functions. - * AlbersEqualArea::Forward and AlbersEqualArea::Reverse also return the - * meridian convergence, γ, and azimuthal scale, \e k. A small square - * aligned with the cardinal directions is projected to a rectangle with - * dimensions \e k (in the E-W direction) and 1/\e k (in the N-S direction). - * The E-W sides of the rectangle are oriented γ degrees - * counter-clockwise from the \e x axis. There is no provision in this class - * for specifying a false easting or false northing or a different latitude - * of origin. - * - * C# Example: - * \include example-AlbersEqualArea.cs - * Managed C++ Example: - * \include example-AlbersEqualArea.cpp - * Visual Basic Example: - * \include example-AlbersEqualArea.vb - * - * INTERFACE DIFFERENCES:
- * A constructor has been provided that creates the standard projections. - * - * The EquatorialRadius, Flattening, OriginLatitude, and CentralScale functions - * are implemented as properties. - **********************************************************************/ - public ref class AlbersEqualArea - { - private: - // pointer to the unmanaged GeographicLib::AlbersEqualArea - GeographicLib::AlbersEqualArea* m_pAlbersEqualArea; - - // Frees the unmanaged m_pAlbersEqualArea when object is destroyed. - !AlbersEqualArea(); - public: - /** - Standard AlbersEqualAreaProjections that assume the WGS84 ellipsoid. - *********************************************************************/ - enum class StandardTypes - { - CylindricalEqualArea, //!< cylindrical equal area projection (stdlat = 0, and \e k0 = 1) - AzimuthalEqualAreaNorth, //!< Lambert azimuthal equal area projection (stdlat = 90°, and \e k0 = 1) - AzimuthalEqualAreaSouth //!< Lambert azimuthal equal area projection (stdlat = −90°, and \e k0 = 1) - }; - - //! \brief Destructor - ~AlbersEqualArea() { this->!AlbersEqualArea(); } - - /**! - * Constructor for one of the standard types. - * @param[in] type The desired standard type. - **********************************************************************/ - AlbersEqualArea( StandardTypes type ); - - /** - * Constructor with a single standard parallel. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] stdlat standard parallel (degrees), the circle of tangency. - * @param[in] k0 azimuthal scale on the standard parallel. - * @exception GeographicErr if \e a, (1 − \e f ) \e a, or \e k0 is - * not positive. - * @exception GeographicErr if \e stdlat is not in [−90°, - * 90°]. - **********************************************************************/ - AlbersEqualArea(double a, double f, double stdlat, double k0); - - /** - * Constructor with two standard parallels. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] stdlat1 first standard parallel (degrees). - * @param[in] stdlat2 second standard parallel (degrees). - * @param[in] k1 azimuthal scale on the standard parallels. - * @exception GeographicErr if \e a, (1 − \e f ) \e a, or \e k1 is - * not positive. - * @exception GeographicErr if \e stdlat1 or \e stdlat2 is not in - * [−90°, 90°], or if \e stdlat1 and \e stdlat2 are - * opposite poles. - **********************************************************************/ - AlbersEqualArea(double a, double f, double stdlat1, double stdlat2, double k1); - - /** - * Constructor with two standard parallels specified by sines and cosines. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] sinlat1 sine of first standard parallel. - * @param[in] coslat1 cosine of first standard parallel. - * @param[in] sinlat2 sine of second standard parallel. - * @param[in] coslat2 cosine of second standard parallel. - * @param[in] k1 azimuthal scale on the standard parallels. - * @exception GeographicErr if \e a, (1 − \e f ) \e a, or \e k1 is - * not positive. - * @exception GeographicErr if \e stdlat1 or \e stdlat2 is not in - * [−90°, 90°], or if \e stdlat1 and \e stdlat2 are - * opposite poles. - * - * This allows parallels close to the poles to be specified accurately. - * This routine computes the latitude of origin and the azimuthal scale at - * this latitude. If \e dlat = abs(\e lat2 − \e lat1) ≤ 160°, - * then the error in the latitude of origin is less than 4.5 × - * 10−14d;. - **********************************************************************/ - AlbersEqualArea(double a, double f, - double sinlat1, double coslat1, - double sinlat2, double coslat2, - double k1); - - /** - * Set the azimuthal scale for the projection. - * - * @param[in] lat (degrees). - * @param[in] k azimuthal scale at latitude \e lat (default 1). - * @exception GeographicErr \e k is not positive. - * @exception GeographicErr if \e lat is not in (−90°, - * 90°). - * - * This allows a "latitude of conformality" to be specified. - **********************************************************************/ - void SetScale(double lat, double k); - - /** - * Forward projection, from geographic to Lambert conformal conic. - * - * @param[in] lon0 central meridian longitude (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k azimuthal scale of projection at point; the radial - * scale is the 1/\e k. - * - * The latitude origin is given by AlbersEqualArea::LatitudeOrigin(). - * No false easting or northing is added and \e lat should be in the - * range [−90°, 90°]. The values of \e x and \e y - * returned for points which project to infinity (i.e., one or both of - * the poles) will be large but finite. - **********************************************************************/ - void Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * Reverse projection, from Lambert conformal conic to geographic. - * - * @param[in] lon0 central meridian longitude (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k azimuthal scale of projection at point; the radial - * scale is the 1/\e k. - * - * The latitude origin is given by AlbersEqualArea::LatitudeOrigin(). - * No false easting or northing is added. The value of \e lon returned - * is in the range [−180°, 180°). The value of \e lat - * returned is in the range [−90°, 90°]. If the input - * point is outside the legal projected space the nearest pole is - * returned. - **********************************************************************/ - void Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * AlbersEqualArea::Forward without returning the convergence and - * scale. - **********************************************************************/ - void Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * AlbersEqualArea::Reverse without returning the convergence and - * scale. - **********************************************************************/ - void Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value used in - * the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return latitude of the origin for the projection (degrees). - * - * This is the latitude of minimum azimuthal scale and equals the \e stdlat - * in the 1-parallel constructor and lies between \e stdlat1 and \e stdlat2 - * in the 2-parallel constructors. - **********************************************************************/ - property double OriginLatitude { double get(); } - - /** - * @return central scale for the projection. This is the azimuthal scale - * on the latitude of origin. - **********************************************************************/ - property double CentralScale { double get(); } - ///@} - }; -} // namespace NETGeographic diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AssemblyInfo.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AssemblyInfo.cpp deleted file mode 100644 index f7b190abb1c68a3cb8039505a4ea2219b1817278..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AssemblyInfo.cpp +++ /dev/null @@ -1,43 +0,0 @@ -#include "stdafx.h" - -using namespace System; -using namespace System::Reflection; -using namespace System::Runtime::CompilerServices; -using namespace System::Runtime::InteropServices; -using namespace System::Security::Permissions; - -// -// General Information about an assembly is controlled through the following -// set of attributes. Change these attribute values to modify the information -// associated with an assembly. -// -[assembly:AssemblyTitleAttribute("NETGeographic")]; -[assembly:AssemblyDescriptionAttribute(".NET Interface for GeographicLib")]; -[assembly:AssemblyConfigurationAttribute("1.33")]; -[assembly:AssemblyCompanyAttribute("Open Source")]; -[assembly:AssemblyProductAttribute("NETGeographic")]; -[assembly:AssemblyCopyrightAttribute("GeographicLib copyright (c) Charles Karney 2013\nNETGeographicLib copyright (c) Scott Heiman 2013")]; -[assembly:AssemblyTrademarkAttribute("")]; -[assembly:AssemblyCultureAttribute("")]; - -// -// Version information for an assembly consists of the following four values: -// -// Major Version -// Minor Version -// Build Number -// Revision -// -// You can specify all the value or you can default the Revision and Build Numbers -// by using the '*' as shown below: - -[assembly:AssemblyVersionAttribute("1.33.*")]; - -[assembly:ComVisible(false)]; - -[assembly:CLSCompliantAttribute(true)]; - -#if _MSC_VER < 1800 -// RequestMinium marked as obsolete in Visual Studio 12 (2013) -[assembly:SecurityPermission(SecurityAction::RequestMinimum, UnmanagedCode = true)]; -#endif diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AzimuthalEquidistant.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AzimuthalEquidistant.cpp deleted file mode 100644 index b5a3162968b70a3bcefd3f170a9de4d5c74030bd..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AzimuthalEquidistant.cpp +++ /dev/null @@ -1,110 +0,0 @@ -/** - * \file NETGeographicLib/AzimuthalEquidistant.cpp - * \brief Implementation for NETGeographicLib::AzimuthalEquidistant class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/AzimuthalEquidistant.hpp" -#include "AzimuthalEquidistant.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::AzimuthalEquidistant"; - -//***************************************************************************** -AzimuthalEquidistant::!AzimuthalEquidistant() -{ - if ( m_pAzimuthalEquidistant != NULL ) - { - delete m_pAzimuthalEquidistant; - m_pAzimuthalEquidistant = NULL; - } -} - -//***************************************************************************** -AzimuthalEquidistant::AzimuthalEquidistant(void) -{ - try - { - m_pAzimuthalEquidistant = new GeographicLib::AzimuthalEquidistant( GeographicLib::Geodesic::WGS84() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -AzimuthalEquidistant::AzimuthalEquidistant( Geodesic^ g ) -{ - try - { - const GeographicLib::Geodesic* pGeodesic = - reinterpret_cast( - g->GetUnmanaged()->ToPointer() ); - m_pAzimuthalEquidistant = new GeographicLib::AzimuthalEquidistant( *pGeodesic ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void AzimuthalEquidistant::Forward(double lat0, double lon0, double lat, double lon, - double% x, double% y, double% azi, double% rk) -{ - double lx, ly, lazi, lrk; - m_pAzimuthalEquidistant->Forward( lat0, lon0, lat, lon, - lx, ly, lazi, lrk ); - x = lx; - y = ly; - azi = lazi; - rk = lrk; -} - -//***************************************************************************** -void AzimuthalEquidistant::Reverse(double lat0, double lon0, double x, double y, - double% lat, double% lon, double% azi, double% rk) -{ - double llat, llon, lazi, lrk; - m_pAzimuthalEquidistant->Reverse(lat0, lon0, x, y, - llat, llon, lazi, lrk); - lat = llat; - lon = llon; - azi = lazi; - rk = lrk; -} -//***************************************************************************** -void AzimuthalEquidistant::Forward(double lat0, double lon0, double lat, double lon, - double% x, double% y) -{ - double azi, rk, lx, ly; - m_pAzimuthalEquidistant->Forward(lat0, lon0, lat, lon, lx, ly, azi, rk); - x = lx; - y = ly; -} - -//***************************************************************************** -void AzimuthalEquidistant::Reverse(double lat0, double lon0, double x, double y, - double% lat, double% lon) -{ - double azi, rk, llat, llon; - m_pAzimuthalEquidistant->Reverse(lat0, lon0, x, y, llat, llon, azi, rk); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double AzimuthalEquidistant::EquatorialRadius::get() -{ return m_pAzimuthalEquidistant->EquatorialRadius(); } - -//***************************************************************************** -double AzimuthalEquidistant::Flattening::get() -{ return m_pAzimuthalEquidistant->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AzimuthalEquidistant.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AzimuthalEquidistant.h deleted file mode 100644 index fc3c678bb715787d82e1d35f7ce708a2f2e1aea4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/AzimuthalEquidistant.h +++ /dev/null @@ -1,159 +0,0 @@ -/** - * \file NETGeographicLib/AzimuthalEquidistant.h - * \brief Header for NETGeographicLib::AzimuthalEquidistant class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once -#include "Geodesic.h" - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::AzimuthalEquidistant. - * - * This class allows .NET applications to access GeographicLib::AzimuthalEquidistant. - * - * Azimuthal equidistant projection centered at an arbitrary position on the - * ellipsoid. For a point in projected space (\e x, \e y), the geodesic - * distance from the center position is hypot(\e x, \e y) and the azimuth of - * the geodesic from the center point is atan2(\e x, \e y). The Forward and - * Reverse methods also return the azimuth \e azi of the geodesic at (\e x, - * \e y) and reciprocal scale \e rk in the azimuthal direction which, - * together with the basic properties of the projection, serve to specify - * completely the local affine transformation between geographic and - * projected coordinates. - * - * The conversions all take place using a Geodesic object (by default - * Geodesic::WGS84). For more information on geodesics see \ref geodesic. - * - * C# Example: - * \include example-AzimuthalEquidistant.cs - * Managed C++ Example: - * \include example-AzimuthalEquidistant.cpp - * Visual Basic Example: - * \include example-AzimuthalEquidistant.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor is provided that assumes a WGS84 ellipsoid. - * - * The EquatorialRadius and Flattening functions are implemented as - * properties. - **********************************************************************/ - public ref class AzimuthalEquidistant - { - private: - // Pointer to the unmanaged GeographicLib::AzimuthalEquidistant - const GeographicLib::AzimuthalEquidistant* m_pAzimuthalEquidistant; - - // Frees the unmanaged memory when the object is destroyed. - !AzimuthalEquidistant(); - public: - /** - * Default Constructor for AzimuthalEquidistant. - * Assumes WGS84 Geodesic - **********************************************************************/ - AzimuthalEquidistant(void); - - /** - * Constructor for AzimuthalEquidistant. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - **********************************************************************/ - AzimuthalEquidistant( Geodesic^ earth ); - - /** - * Destructor - * - * frees unmanaged memory. - **********************************************************************/ - ~AzimuthalEquidistant() - { this->!AzimuthalEquidistant(); } - - /** - * Forward projection, from geographic to azimuthal equidistant. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] azi azimuth of geodesic at point (degrees). - * @param[out] rk reciprocal of azimuthal scale at point. - * - * \e lat0 and \e lat should be in the range [−90°, 90°]. - * The scale of the projection is 1 in the "radial" direction, \e azi - * clockwise from true north, and is 1/\e rk in the direction - * perpendicular to this. A call to Forward followed by a call to - * Reverse will return the original (\e lat, \e lon) (to within - * roundoff). - **********************************************************************/ - void Forward(double lat0, double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk); - - /** - * Reverse projection, from azimuthal equidistant to geographic. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] azi azimuth of geodesic at point (degrees). - * @param[out] rk reciprocal of azimuthal scale at point. - * - * \e lat0 should be in the range [−90°, 90°]. \e lat - * will be in the range [−90°, 90°] and \e lon will be in - * the range [−180°, 180°). The scale of the projection - * is 1 in the "radial" direction, \e azi clockwise from true north, - * and is 1/\e rk in the direction perpendicular to this. A call to - * Reverse followed by a call to Forward will return the original (\e - * x, \e y) (to roundoff) only if the geodesic to (\e x, \e y) is a - * shortest path. - **********************************************************************/ - void Reverse(double lat0, double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk); - - /** - * AzimuthalEquidistant::Forward without returning the azimuth and scale. - **********************************************************************/ - void Forward(double lat0, double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * AzimuthalEquidistant::Reverse without returning the azimuth and scale. - **********************************************************************/ - void Reverse(double lat0, double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CMakeLists.txt b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CMakeLists.txt deleted file mode 100644 index a55124162849f9d4351e8f01158656997d425960..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CMakeLists.txt +++ /dev/null @@ -1,48 +0,0 @@ -# Build the .NET library... - -# Include all the .cpp files in the library. -file (GLOB SOURCES [A-Za-z]*.cpp) -file (GLOB HEADERS [A-Za-z]*.h) - -add_library (${NETGEOGRAPHICLIB_LIBRARIES} SHARED ${SOURCES} ${HEADERS}) -if (CMAKE_VERSION VERSION_LESS 3.12) - set_target_properties (${NETGEOGRAPHICLIB_LIBRARIES} - PROPERTIES COMPILE_FLAGS "/clr") -else () - set_target_properties (${NETGEOGRAPHICLIB_LIBRARIES} - PROPERTIES COMMON_LANGUAGE_RUNTIME "") -endif() - -string (REPLACE "/RTC1" "" CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG}") -string (REPLACE "/EHsc" "" CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}") - -if (MSVC AND NOT MSVC_VERSION GREATER 1600) - # Disable "already imported" and "unsupported default parameter" - # warnings with VS 10 - set (CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4945 /wd4564") -endif () - -add_definitions (${PROJECT_DEFINITIONS}) -target_link_libraries (${NETGEOGRAPHICLIB_LIBRARIES} ${PROJECT_LIBRARIES}) - -# Set the version number on the library -set_target_properties (${NETGEOGRAPHICLIB_LIBRARIES} PROPERTIES - VERSION "${LIBVERSIONFULL}" OUTPUT_NAME ${NETLIBNAME}) - -# Specify where the library is installed, adding it to the export targets -install (TARGETS ${NETGEOGRAPHICLIB_LIBRARIES} - EXPORT targets - RUNTIME DESTINATION bin) - -if (PACKAGE_DEBUG_LIBS) - install (PROGRAMS - "${PROJECT_BINARY_DIR}/bin/Debug/${NETLIBNAME}${CMAKE_DEBUG_POSTFIX}.dll" - DESTINATION bin CONFIGURATIONS Release) -endif () - -# Install pdb file. -install (FILES $ - DESTINATION bin OPTIONAL) - -# Put all the library into a folder in the IDE -set_property (TARGET ${NETGEOGRAPHICLIB_LIBRARIES} PROPERTY FOLDER library) diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CassiniSoldner.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CassiniSoldner.cpp deleted file mode 100644 index 990d1275fd4223f05f100b75a1c6aa1e326f11fe..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CassiniSoldner.cpp +++ /dev/null @@ -1,134 +0,0 @@ -/** - * \file NETGeographicLib/CassiniSoldner.cpp - * \brief Implementation for NETGeographicLib::CassiniSoldner class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/CassiniSoldner.hpp" -#include "Geodesic.h" -#include "CassiniSoldner.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::CassiniSoldner"; - -//***************************************************************************** -CassiniSoldner::!CassiniSoldner() -{ - if ( m_pCassiniSoldner != NULL ) - { - delete m_pCassiniSoldner; - m_pCassiniSoldner = NULL; - } -} - -//***************************************************************************** -CassiniSoldner::CassiniSoldner(double lat0, double lon0) -{ - try - { - m_pCassiniSoldner = new GeographicLib::CassiniSoldner( GeographicLib::Geodesic::WGS84() ); - m_pCassiniSoldner->Reset(lat0, lon0); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -CassiniSoldner::CassiniSoldner(double lat0, double lon0, - Geodesic^ earth ) -{ - try - { - const GeographicLib::Geodesic* pGeodesic = - reinterpret_cast( - earth->GetUnmanaged()->ToPointer() ); - m_pCassiniSoldner = new GeographicLib::CassiniSoldner( *pGeodesic ); - m_pCassiniSoldner->Reset(lat0, lon0); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void CassiniSoldner::Reset(double lat0, double lon0) -{ - m_pCassiniSoldner->Reset(lat0, lon0); -} - -//***************************************************************************** -void CassiniSoldner::Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk) -{ - double lx, ly, lazi, lrk; - m_pCassiniSoldner->Forward(lat, lon, lx, ly, lazi, lrk); - x = lx; - y = ly; - azi = lazi; - rk = lrk; -} - -//***************************************************************************** -void CassiniSoldner::Reverse(double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk) -{ - double llat, llon, lazi, lrk; - m_pCassiniSoldner->Reverse( x, y, llat, llon, lazi, lrk ); - lat = llat; - lon = llon; - azi = lazi; - rk = lrk; -} -//***************************************************************************** -void CassiniSoldner::Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y) -{ - double lx, ly, azi, rk; - m_pCassiniSoldner->Forward(lat, lon, lx, ly, azi, rk); - x = lx; - y = ly; -} - -//***************************************************************************** -void CassiniSoldner::Reverse(double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon, lazi, lrk; - m_pCassiniSoldner->Reverse( x, y, llat, llon, lazi, lrk ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double CassiniSoldner::LatitudeOrigin::get() -{ return m_pCassiniSoldner->LatitudeOrigin(); } - -//***************************************************************************** -double CassiniSoldner::LongitudeOrigin::get() -{ return m_pCassiniSoldner->LongitudeOrigin(); } - -//***************************************************************************** -double CassiniSoldner::EquatorialRadius::get() -{ return m_pCassiniSoldner->EquatorialRadius(); } - -//***************************************************************************** -double CassiniSoldner::Flattening::get() -{ return m_pCassiniSoldner->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CassiniSoldner.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CassiniSoldner.h deleted file mode 100644 index 6bafbfe283d73f3d9ab2b0a8acd131248cb0fdda..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CassiniSoldner.h +++ /dev/null @@ -1,198 +0,0 @@ -/** - * \file NETGeographicLib/CassiniSoldner.h - * \brief Header for NETGeographicLib::CassiniSoldner class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::CassiniSoldner. - * - * This class allows .NET applications to access GeographicLib::CassiniSoldner. - * - * Cassini-Soldner projection centered at an arbitrary position, \e lat0, \e - * lon0, on the ellipsoid. This projection is a transverse cylindrical - * equidistant projection. The projection from (\e lat, \e lon) to easting - * and northing (\e x, \e y) is defined by geodesics as follows. Go north - * along a geodesic a distance \e y from the central point; then turn - * clockwise 90° and go a distance \e x along a geodesic. - * (Although the initial heading is north, this changes to south if the pole - * is crossed.) This procedure uniquely defines the reverse projection. The - * forward projection is constructed as follows. Find the point (\e lat1, \e - * lon1) on the meridian closest to (\e lat, \e lon). Here we consider the - * full meridian so that \e lon1 may be either \e lon0 or \e lon0 + - * 180°. \e x is the geodesic distance from (\e lat1, \e lon1) to - * (\e lat, \e lon), appropriately signed according to which side of the - * central meridian (\e lat, \e lon) lies. \e y is the shortest distance - * along the meridian from (\e lat0, \e lon0) to (\e lat1, \e lon1), again, - * appropriately signed according to the initial heading. [Note that, in the - * case of prolate ellipsoids, the shortest meridional path from (\e lat0, \e - * lon0) to (\e lat1, \e lon1) may not be the shortest path.] This procedure - * uniquely defines the forward projection except for a small class of points - * for which there may be two equally short routes for either leg of the - * path. - * - * Because of the properties of geodesics, the (\e x, \e y) grid is - * orthogonal. The scale in the easting direction is unity. The scale, \e - * k, in the northing direction is unity on the central meridian and - * increases away from the central meridian. The projection routines return - * \e azi, the true bearing of the easting direction, and \e rk = 1/\e k, the - * reciprocal of the scale in the northing direction. - * - * The conversions all take place using a Geodesic object (by default - * Geodesic::WGS84). For more information on geodesics see \ref geodesic. - * The determination of (\e lat1, \e lon1) in the forward projection is by - * solving the inverse geodesic problem for (\e lat, \e lon) and its twin - * obtained by reflection in the meridional plane. The scale is found by - * determining where two neighboring geodesics intersecting the central - * meridian at \e lat1 and \e lat1 + \e dlat1 intersect and taking the ratio - * of the reduced lengths for the two geodesics between that point and, - * respectively, (\e lat1, \e lon1) and (\e lat, \e lon). - * - * C# Example: - * \include example-CassiniSoldner.cs - * Managed C++ Example: - * \include example-CassiniSoldner.cpp - * Visual Basic Example: - * \include example-CassiniSoldner.vb - * - * INTERFACE DIFFERENCES:
- * The LatitudeOrigin, LongitudeOrigin, EquatorialRadius and Flattening - * functions are implimented as properties. - **********************************************************************/ - public ref class CassiniSoldner - { - private: - // A pointer to the unmanaged GeographicLib::CassiniSoldner - GeographicLib::CassiniSoldner* m_pCassiniSoldner; - - // The finalizer frees the unmanaged memory when the object is destroyed. - !CassiniSoldner(); - public: - /** - * Constructor for CassiniSoldner specifying a center point and - * assuming the WGS84 ellipsoid. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - **********************************************************************/ - CassiniSoldner(double lat0, double lon0); - - /** - * Constructor for CassiniSoldner specifying a center point. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] earth the Geodesic object to use for geodesic calculations. - * By default this uses the WGS84 ellipsoid. - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - CassiniSoldner(double lat0, double lon0, Geodesic^ earth ); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~CassiniSoldner() - { this->!CassiniSoldner(); } - - /** - * Set the central point of the projection - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - void Reset(double lat0, double lon0); - - /** - * Forward projection, from geographic to Cassini-Soldner. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] azi azimuth of easting direction at point (degrees). - * @param[out] rk reciprocal of azimuthal northing scale at point. - * - * \e lat should be in the range [−90°, 90°]. A call to - * Forward followed by a call to Reverse will return the original (\e - * lat, \e lon) (to within roundoff). The routine does nothing if the - * origin has not been set. - **********************************************************************/ - void Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk); - - /** - * Reverse projection, from Cassini-Soldner to geographic. - * - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] azi azimuth of easting direction at point (degrees). - * @param[out] rk reciprocal of azimuthal northing scale at point. - * - * A call to Reverse followed by a call to Forward will return the original - * (\e x, \e y) (to within roundoff), provided that \e x and \e y are - * sufficiently small not to "wrap around" the earth. The routine does - * nothing if the origin has not been set. - **********************************************************************/ - void Reverse(double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk); - - /** - * CassiniSoldner::Forward without returning the azimuth and scale. - **********************************************************************/ - void Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * CassiniSoldner::Reverse without returning the azimuth and scale. - **********************************************************************/ - void Reverse(double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e lat0 the latitude of origin (degrees). - **********************************************************************/ - property double LatitudeOrigin { double get(); } - - /** - * @return \e lon0 the longitude of origin (degrees). - **********************************************************************/ - property double LongitudeOrigin { double get(); } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CircularEngine.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CircularEngine.cpp deleted file mode 100644 index 5363de53037d9e49bd965bdbc811f63ae96ce32d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CircularEngine.cpp +++ /dev/null @@ -1,83 +0,0 @@ -/** - * \file NETGeographicLib/CircularEngine.cpp - * \brief Implementation for NETGeographicLib::CircularEngine class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/CircularEngine.hpp" -#include "CircularEngine.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -CircularEngine::CircularEngine(const GeographicLib::CircularEngine& c) -{ - try - { - m_pCircularEngine = new GeographicLib::CircularEngine( c ); - } - catch ( GeographicLib::GeographicErr err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::CircularEngine" ); - } -} - -//***************************************************************************** -CircularEngine::!CircularEngine() -{ - if ( m_pCircularEngine != NULL ) - { - delete m_pCircularEngine; - m_pCircularEngine = NULL; - } -} - -//***************************************************************************** -double CircularEngine::LongitudeSum(double coslon, double sinlon) -{ - return m_pCircularEngine->operator()( coslon, sinlon ); -} - -//***************************************************************************** -double CircularEngine::LongitudeSum(double lon) -{ - return m_pCircularEngine->operator()( lon ); -} - -//***************************************************************************** -double CircularEngine::LongitudeSum(double coslon, double sinlon, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz) -{ - double lgradx, lgrady, lgradz; - double output = m_pCircularEngine->operator()( coslon, sinlon, lgradx, lgrady, lgradz ); - gradx = lgradx; - grady = lgrady; - gradz = lgradz; - return output; -} - -//***************************************************************************** -double CircularEngine::LongitudeSum(double lon, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz) -{ - double lgradx, lgrady, lgradz; - double output = m_pCircularEngine->operator()( lon, lgradx, lgrady, lgradz ); - gradx = lgradx; - grady = lgrady; - gradz = lgradz; - return output; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CircularEngine.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CircularEngine.h deleted file mode 100644 index 5858246b67053c20dfc664203f1ce2d79a8f1153..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/CircularEngine.h +++ /dev/null @@ -1,142 +0,0 @@ -/** - * \file NETGeographicLib/CircularEngine.h - * \brief Header for NETGeographicLib::CircularEngine class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::CircularEngine. - * - * This class allows .NET applications to access GeographicLib::CircularEngine. - * - * The class is a companion to SphericalEngine. If the results of a - * spherical harmonic sum are needed for several points on a circle of - * constant latitude \e lat and height \e h, then SphericalEngine::Circle can - * compute the inner sum, which is independent of longitude \e lon, and - * produce a CircularEngine object. CircularEngine::LongitudeSum() can - * then be used to perform the outer sum for particular values of \e lon. - * This can lead to substantial improvements in computational speed for high - * degree sum (approximately by a factor of \e N / 2 where \e N is the - * maximum degree). - * - * CircularEngine is tightly linked to the internals of SphericalEngine. For - * that reason, the constructor for this class is for internal use only. Use - * SphericalHarmonic::Circle, SphericalHarmonic1::Circle, and - * SphericalHarmonic2::Circle to create instances of this class. - * - * CircularEngine stores the coefficients needed to allow the summation over - * order to be performed in 2 or 6 vectors of length \e M + 1 (depending on - * whether gradients are to be calculated). For this reason the constructor - * may throw a GeographicErr exception. - * - * C# Example: - * \include example-CircularEngine.cs - * Managed C++ Example: - * \include example-CircularEngine.cpp - * Visual Basic Example: - * \include example-CircularEngine.vb - * - * INTERFACE DIFFERENCES:
- * The () operator has been replaced with with LongitudeSum. - * - * This class does not have a constructor that can be used in a .NET - * application. Use SphericalHarmonic::Circle, SphericalHarmonic1::Circle or - * SphericalHarmonic2::Circle to create instances of this class. - **********************************************************************/ - public ref class CircularEngine - { - private: - // pointer to the unmanaged GeographicLib::CircularEngine - const GeographicLib::CircularEngine* m_pCircularEngine; - - // The finalizer frees the unmanaged memory when the object is destroyed. - !CircularEngine(); - public: - /** - * The constructor. - * - * This constructor should not be used in .NET applications. - * Use SphericalHarmonic::Circle, SphericalHarmonic1::Circle or - * SphericalHarmonic2::Circle to create instances of this class. - * - * @param[in] c The unmanaged CircularEngine to be copied. - **********************************************************************/ - CircularEngine( const GeographicLib::CircularEngine& c ); - - /** - * The destructor calls the finalizer - **********************************************************************/ - ~CircularEngine() - { this->!CircularEngine(); } - - /** - * Evaluate the sum for a particular longitude given in terms of its - * cosine and sine. - * - * @param[in] coslon the cosine of the longitude. - * @param[in] sinlon the sine of the longitude. - * @return \e V the value of the sum. - * - * The arguments must satisfy coslon2 + - * sinlon2 = 1. - **********************************************************************/ - double LongitudeSum(double coslon, double sinlon); - - /** - * Evaluate the sum for a particular longitude. - * - * @param[in] lon the longitude (degrees). - * @return \e V the value of the sum. - **********************************************************************/ - double LongitudeSum(double lon); - - /** - * Evaluate the sum and its gradient for a particular longitude given in - * terms of its cosine and sine. - * - * @param[in] coslon the cosine of the longitude. - * @param[in] sinlon the sine of the longitude. - * @param[out] gradx \e x component of the gradient. - * @param[out] grady \e y component of the gradient. - * @param[out] gradz \e z component of the gradient. - * @return \e V the value of the sum. - * - * The gradients will only be computed if the CircularEngine object was - * created with this capability (e.g., via \e gradp = true in - * SphericalHarmonic::Circle). If not, \e gradx, etc., will not be - * touched. The arguments must satisfy coslon2 + - * sinlon2 = 1. - **********************************************************************/ - double LongitudeSum(double coslon, double sinlon, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz); - - /** - * Evaluate the sum and its gradient for a particular longitude. - * - * @param[in] lon the longitude (degrees). - * @param[out] gradx \e x component of the gradient. - * @param[out] grady \e y component of the gradient. - * @param[out] gradz \e z component of the gradient. - * @return \e V the value of the sum. - * - * The gradients will only be computed if the CircularEngine object was - * created with this capability (e.g., via \e gradp = true in - * SphericalHarmonic::Circle). If not, \e gradx, etc., will not be - * touched. - **********************************************************************/ - double LongitudeSum(double lon, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz); - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/DMS.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/DMS.cpp deleted file mode 100644 index c3b556599c56e5f90d638bedf8888f35965db923..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/DMS.cpp +++ /dev/null @@ -1,117 +0,0 @@ -/** - * \file NETGeographicLib/DMS.cpp - * \brief Implementation for NETGeographicLib::DMS class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/DMS.hpp" -#include "DMS.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -double DMS::Decode( System::String^ dms, - [System::Runtime::InteropServices::Out] Flag% ind) -{ - try - { - GeographicLib::DMS::flag lind; - double out = GeographicLib::DMS::Decode( StringConvert::ManagedToUnmanaged(dms), lind ); - ind = static_cast(lind); - return out; - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} - -//***************************************************************************** -void DMS::DecodeLatLon(System::String^ dmsa, System::String^ dmsb, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - bool longfirst ) -{ - try - { - double llat, llon; - GeographicLib::DMS::DecodeLatLon( StringConvert::ManagedToUnmanaged( dmsa ), - StringConvert::ManagedToUnmanaged( dmsb ), llat, llon, longfirst ); - lat = llat; - lon = llon; - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} - -//***************************************************************************** -double DMS::DecodeAngle(System::String^ angstr) -{ - try - { - return GeographicLib::DMS::DecodeAngle(StringConvert::ManagedToUnmanaged( angstr )); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} - -//***************************************************************************** -double DMS::DecodeAzimuth(System::String^ azistr) -{ - try - { - return GeographicLib::DMS::DecodeAzimuth(StringConvert::ManagedToUnmanaged( azistr )); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} - -//***************************************************************************** -System::String^ DMS::Encode(double angle, Component trailing, unsigned prec, - Flag ind, char dmssep) -{ - try - { - return StringConvert::UnmanagedToManaged( - GeographicLib::DMS::Encode( angle, - static_cast(trailing), - prec, - static_cast(ind), - dmssep ) - ); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} -//***************************************************************************** -System::String^ DMS::Encode(double angle, unsigned prec, Flag ind, - char dmssep ) -{ - try - { - return StringConvert::UnmanagedToManaged( - GeographicLib::DMS::Encode( angle, - prec, - static_cast(ind), - dmssep ) - ); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/DMS.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/DMS.h deleted file mode 100644 index 0dfe5690e0322f4ad2557e939e5fd6a831f0ed6d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/DMS.h +++ /dev/null @@ -1,334 +0,0 @@ -/** - * \file NETGeographicLib/DMS.h - * \brief Header for NETGeographicLib::DMS class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::DMS. - * - * Parse a string representing degree, minutes, and seconds and return the - * angle in degrees and format an angle in degrees as degree, minutes, and - * seconds. In addition, handle NANs and infinities on input and output. - * - * C# Example: - * \include example-DMS.cs - * Managed C++ Example: - * \include example-DMS.cpp - * Visual Basic Example: - * \include example-DMS.vb - **********************************************************************/ -public ref class DMS -{ -public: - /** - * Indicator for presence of hemisphere indicator (N/S/E/W) on latitudes - * and longitudes. - **********************************************************************/ - enum class Flag { - /** - * No indicator present. - * @hideinitializer - **********************************************************************/ - NONE = 0, - /** - * Latitude indicator (N/S) present. - * @hideinitializer - **********************************************************************/ - LATITUDE = 1, - /** - * Longitude indicator (E/W) present. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 2, - /** - * Used in Encode to indicate output of an azimuth in [000, 360) with no - * letter indicator. - * @hideinitializer - **********************************************************************/ - AZIMUTH = 3, - /** - * Used in Encode to indicate output of a plain number. - * @hideinitializer - **********************************************************************/ - NUMBER = 4, - }; - - /** - * Indicator for trailing units on an angle. - **********************************************************************/ - enum class Component { - /** - * Trailing unit is degrees. - * @hideinitializer - **********************************************************************/ - DEGREE = 0, - /** - * Trailing unit is arc minutes. - * @hideinitializer - **********************************************************************/ - MINUTE = 1, - /** - * Trailing unit is arc seconds. - * @hideinitializer - **********************************************************************/ - SECOND = 2, - }; - - /** - * Convert a string in DMS to an angle. - * - * @param[in] dms string input. - * @param[out] ind a DMS::flag value signaling the presence of a - * hemisphere indicator. - * @exception GeographicErr if \e dms is malformed (see below). - * @return angle (degrees). - * - * Degrees, minutes, and seconds are indicated by the characters d, ' - * (single quote), " (double quote), and these components may only be - * given in this order. Any (but not all) components may be omitted and - * other symbols (e.g., the ° symbol for degrees and the unicode prime - * and double prime symbols for minutes and seconds) may be substituted; - * two single quotes can be used instead of ". The last component - * indicator may be omitted and is assumed to be the next smallest unit - * (thus 33d10 is interpreted as 33d10'). The final component may be a - * decimal fraction but the non-final components must be integers. Instead - * of using d, ', and " to indicate degrees, minutes, and seconds, : - * (colon) may be used to separate these components (numbers must - * appear before and after each colon); thus 50d30'10.3" may be - * written as 50:30:10.3, 5.5' may be written 0:5.5, and so on. The - * integer parts of the minutes and seconds components must be less - * than 60. A single leading sign is permitted. A hemisphere designator - * (N, E, W, S) may be added to the beginning or end of the string. The - * result is multiplied by the implied sign of the hemisphere designator - * (negative for S and W). In addition \e ind is set to DMS::LATITUDE if N - * or S is present, to DMS::LONGITUDE if E or W is present, and to - * DMS::NONE otherwise. Throws an error on a malformed string. No check - * is performed on the range of the result. Examples of legal and illegal - * strings are - * - LEGAL (all the entries on each line are equivalent) - * - -20.51125, 20d30'40.5"S, -20°30'40.5, -20d30.675, - * N-20d30'40.5", -20:30:40.5 - * - 4d0'9, 4d9", 4d9'', 4:0:9, 004:00:09, 4.0025, 4.0025d, 4d0.15, - * 04:.15 - * - 4:59.99999999999999, 4:60.0, 4:59:59.9999999999999, 4:59:60.0, 5 - * - ILLEGAL (the exception thrown explains the problem) - * - 4d5"4', 4::5, 4:5:, :4:5, 4d4.5'4", -N20.5, 1.8e2d, 4:60, - * 4:59:60 - * - * The decoding operation can also perform addition and subtraction - * operations. If the string includes internal signs (i.e., not at - * the beginning nor immediately after an initial hemisphere designator), - * then the string is split immediately before such signs and each piece is - * decoded according to the above rules and the results added; thus - * S3-2.5+4.1N is parsed as the sum of S3, - * -2.5, +4.1N. Any piece can include a - * hemisphere designator; however, if multiple designators are given, they - * must compatible; e.g., you cannot mix N and E. In addition, the - * designator can appear at the beginning or end of the first piece, but - * must be at the end of all subsequent pieces (a hemisphere designator is - * not allowed after the initial sign). Examples of legal and illegal - * combinations are - * - LEGAL (these are all equivalent) - * - 070:00:45, 70:01:15W+0:0.5, 70:01:15W-0:0:30W, W70:01:15+0:0:30E - * - ILLEGAL (the exception thrown explains the problem) - * - 70:01:15W+0:0:15N, W70:01:15+W0:0:15 - * - * WARNING: "Exponential" notation is not recognized. Thus - * 7.0E1 is illegal, while 7.0E+1 is parsed as - * (7.0E) + (+1), yielding the same result as - * 8.0E. - * - * NOTE: At present, all the string handling in the C++ - * implementation %GeographicLib is with 8-bit characters. The support for - * unicode symbols for degrees, minutes, and seconds is therefore via the - * UTF-8 encoding. (The - * JavaScript implementation of this class uses unicode natively, of - * course.) - * - * Here is the list of Unicode symbols supported for degrees, minutes, - * seconds: - * - degrees: - * - d, D lower and upper case letters - * - U+00b0 degree symbol (°) - * - U+00ba masculine ordinal indicator - * - U+2070 superscript zero - * - U+02da ring above - * - minutes: - * - ' apostrophe - * - U+2032 prime (′) - * - U+00b4 acute accent - * - U+2019 right single quote (’) - * - seconds: - * - " quotation mark - * - U+2033 double prime (″) - * - U+201d right double quote (”) - * - ' ' any two consecutive symbols for minutes - * . - * The codes with a leading zero byte, e.g., U+00b0, are accepted in their - * UTF-8 coded form 0xc2 0xb0 and as a single byte 0xb0. - **********************************************************************/ - static double Decode(System::String^ dms, - [System::Runtime::InteropServices::Out] Flag% ind); - - /** - * Convert DMS to an angle. - * - * @param[in] d degrees. - * @param[in] m arc minutes. - * @param[in] s arc seconds. - * @return angle (degrees) - * - * This does not propagate the sign on \e d to the other components, so - * -3d20' would need to be represented as - DMS::Decode(3.0, 20.0) or - * DMS::Decode(-3.0, -20.0). - **********************************************************************/ - static double Decode(double d, double m, double s ) - { return d + (m + s/double(60))/double(60); } - - /** - * Convert a pair of strings to latitude and longitude. - * - * @param[in] dmsa first string. - * @param[in] dmsb second string. - * @param[out] lat latitude (degrees). - * @param[out] lon longitude (degrees). - * @param[in] longfirst if true assume longitude is given before latitude - * in the absence of hemisphere designators (default false). - * @exception GeographicErr if \e dmsa or \e dmsb is malformed. - * @exception GeographicErr if \e dmsa and \e dmsb are both interpreted as - * latitudes. - * @exception GeographicErr if \e dmsa and \e dmsb are both interpreted as - * longitudes. - * @exception GeographicErr if decoded latitude is not in [−90°, - * 90°]. - * - * By default, the \e lat (resp., \e lon) is assigned to the results of - * decoding \e dmsa (resp., \e dmsb). However this is overridden if either - * \e dmsa or \e dmsb contain a latitude or longitude hemisphere designator - * (N, S, E, W). If an exception is thrown, \e lat and \e lon are - * unchanged. - **********************************************************************/ - static void DecodeLatLon(System::String^ dmsa, System::String^ dmsb, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - bool longfirst ); - - /** - * Convert a string to an angle in degrees. - * - * @param[in] angstr input string. - * @exception GeographicErr if \e angstr is malformed. - * @exception GeographicErr if \e angstr includes a hemisphere designator. - * @return angle (degrees) - * - * No hemisphere designator is allowed and no check is done on the range of - * the result. - **********************************************************************/ - static double DecodeAngle(System::String^ angstr); - - /** - * Convert a string to an azimuth in degrees. - * - * @param[in] azistr input string. - * @exception GeographicErr if \e azistr is malformed. - * @exception GeographicErr if \e azistr includes a N/S designator. - * @return azimuth (degrees) reduced to the range [−180°, - * 180°). - * - * A hemisphere designator E/W can be used; the result is multiplied by - * −1 if W is present. - **********************************************************************/ - static double DecodeAzimuth(System::String^ azistr); - - /** - * Convert angle (in degrees) into a DMS string (using d, ', and "). - * - * @param[in] angle input angle (degrees) - * @param[in] trailing DMS::component value indicating the trailing units - * on the string and this is given as a decimal number if necessary. - * @param[in] prec the number of digits after the decimal point for the - * trailing component. - * @param[in] ind DMS::flag value indicated additional formatting. - * @param[in] dmssep if non-null, use as the DMS separator character - * (instead of d, ', " delimiters). - * @exception GeographicErr if memory for the string can't be allocated. - * @return formatted string - * - * The interpretation of \e ind is as follows: - * - ind == DMS::NONE, signed result no leading zeros on degrees except in - * the units place, e.g., -8d03'. - * - ind == DMS::LATITUDE, trailing N or S hemisphere designator, no sign, - * pad degrees to 2 digits, e.g., 08d03'S. - * - ind == DMS::LONGITUDE, trailing E or W hemisphere designator, no - * sign, pad degrees to 3 digits, e.g., 008d03'W. - * - ind == DMS::AZIMUTH, convert to the range [0, 360°), no - * sign, pad degrees to 3 digits, , e.g., 351d57'. - * . - * The integer parts of the minutes and seconds components are always given - * with 2 digits. - **********************************************************************/ - static System::String^ Encode(double angle, Component trailing, unsigned prec, - Flag ind, char dmssep ); - - /** - * Convert angle into a DMS string (using d, ', and ") selecting the - * trailing component based on the precision. - * - * @param[in] angle input angle (degrees) - * @param[in] prec the precision relative to 1 degree. - * @param[in] ind DMS::flag value indicated additional formatting. - * @param[in] dmssep if non-null, use as the DMS separator character - * (instead of d, ', " delimiters). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return formatted string - * - * \e prec indicates the precision relative to 1 degree, e.g., \e prec = 3 - * gives a result accurate to 0.1' and \e prec = 4 gives a result accurate - * to 1". \e ind is interpreted as in DMS::Encode with the additional - * facility that DMS::NUMBER represents \e angle as a number in fixed - * format with precision \e prec. - **********************************************************************/ - static System::String^ Encode(double angle, unsigned prec, Flag ind, - char dmssep ); - - /** - * Split angle into degrees and minutes - * - * @param[in] ang angle (degrees) - * @param[out] d degrees (an integer returned as a double) - * @param[out] m arc minutes. - **********************************************************************/ - static void Encode(double ang, - [System::Runtime::InteropServices::Out] double% d, - [System::Runtime::InteropServices::Out] double% m) - { - d = int(ang); m = 60 * (ang - d); - } - - /** - * Split angle into degrees and minutes and seconds. - * - * @param[in] ang angle (degrees) - * @param[out] d degrees (an integer returned as a double) - * @param[out] m arc minutes (an integer returned as a double) - * @param[out] s arc seconds. - **********************************************************************/ - static void Encode(double ang, - [System::Runtime::InteropServices::Out] double% d, - [System::Runtime::InteropServices::Out] double% m, - [System::Runtime::InteropServices::Out] double% s) - { - d = int(ang); ang = 60 * (ang - d); - m = int(ang); s = 60 * (ang - m); - } -}; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Ellipsoid.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Ellipsoid.cpp deleted file mode 100644 index 71f569ced853e18fd01ff8dd5b6096adf92fe18a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Ellipsoid.cpp +++ /dev/null @@ -1,270 +0,0 @@ -/** - * \file NETGeographicLib/Ellipsoid.cpp - * \brief Implementation for NETGeographicLib::Ellipsoid class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Ellipsoid.hpp" -#include "Ellipsoid.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::Ellipsoid"; - -//***************************************************************************** -Ellipsoid::!Ellipsoid(void) -{ - if ( m_pEllipsoid != NULL ) - { - delete m_pEllipsoid; - m_pEllipsoid = NULL; - } -} - -//***************************************************************************** -Ellipsoid::Ellipsoid() -{ - try - { - m_pEllipsoid = new GeographicLib::Ellipsoid( GeographicLib::Ellipsoid::WGS84() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -Ellipsoid::Ellipsoid(double a, double f) -{ - try - { - m_pEllipsoid = new GeographicLib::Ellipsoid( a, f ); - } - catch ( std::bad_alloc err ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double Ellipsoid::ParametricLatitude(double phi) -{ - return m_pEllipsoid->ParametricLatitude( phi ); -} - -//***************************************************************************** -double Ellipsoid::InverseParametricLatitude(double beta) -{ - return m_pEllipsoid->InverseParametricLatitude( beta ); -} - -//***************************************************************************** -double Ellipsoid::GeocentricLatitude(double phi) -{ - return m_pEllipsoid->GeocentricLatitude( phi ); -} - -//***************************************************************************** -double Ellipsoid::InverseGeocentricLatitude(double theta) -{ - return m_pEllipsoid->InverseGeocentricLatitude( theta ); -} - -//***************************************************************************** -double Ellipsoid::RectifyingLatitude(double phi) -{ - return m_pEllipsoid->RectifyingLatitude( phi ); -} - -//***************************************************************************** -double Ellipsoid::InverseRectifyingLatitude(double mu) -{ - return m_pEllipsoid->InverseRectifyingLatitude( mu ); -} - -//***************************************************************************** -double Ellipsoid::AuthalicLatitude(double phi) -{ - return m_pEllipsoid->AuthalicLatitude( phi ); -} - -//***************************************************************************** -double Ellipsoid::InverseAuthalicLatitude(double xi) -{ - return m_pEllipsoid->InverseAuthalicLatitude( xi ); -} - -//***************************************************************************** -double Ellipsoid::ConformalLatitude(double phi) -{ - return m_pEllipsoid->ConformalLatitude( phi ); -} - -//***************************************************************************** -double Ellipsoid::InverseConformalLatitude(double chi) -{ - return m_pEllipsoid->InverseConformalLatitude( chi ); -} - -//***************************************************************************** -double Ellipsoid::IsometricLatitude(double phi) -{ - return m_pEllipsoid->IsometricLatitude( phi ); -} - -//***************************************************************************** -double Ellipsoid::InverseIsometricLatitude(double psi) -{ - return m_pEllipsoid->InverseIsometricLatitude( psi ); -} - -//***************************************************************************** -double Ellipsoid::CircleRadius(double phi) -{ - return m_pEllipsoid->CircleRadius( phi ); -} - -//***************************************************************************** -double Ellipsoid::CircleHeight(double phi) -{ - return m_pEllipsoid->CircleHeight( phi ); -} - -//***************************************************************************** -double Ellipsoid::MeridianDistance(double phi) -{ - return m_pEllipsoid->MeridianDistance( phi ); -} - -//***************************************************************************** -double Ellipsoid::MeridionalCurvatureRadius(double phi) -{ - return m_pEllipsoid->MeridionalCurvatureRadius( phi ); -} - -//***************************************************************************** -double Ellipsoid::TransverseCurvatureRadius(double phi) -{ - return m_pEllipsoid->TransverseCurvatureRadius( phi ); -} - -//***************************************************************************** -double Ellipsoid::NormalCurvatureRadius(double phi, double azi) -{ - return m_pEllipsoid->NormalCurvatureRadius( phi, azi ); -} - -//***************************************************************************** -double Ellipsoid::SecondFlatteningToFlattening(double fp) -{ - return GeographicLib::Ellipsoid::SecondFlatteningToFlattening( fp ); -} - -//***************************************************************************** -double Ellipsoid::FlatteningToSecondFlattening(double f) -{ - return GeographicLib::Ellipsoid::FlatteningToSecondFlattening( f ); -} - -//***************************************************************************** -double Ellipsoid::ThirdFlatteningToFlattening(double n) -{ - return GeographicLib::Ellipsoid::ThirdFlatteningToFlattening( n ); -} - -//***************************************************************************** -double Ellipsoid::FlatteningToThirdFlattening(double f) -{ - return GeographicLib::Ellipsoid::FlatteningToThirdFlattening( f ); -} - -//***************************************************************************** -double Ellipsoid::EccentricitySqToFlattening(double e2) -{ - return GeographicLib::Ellipsoid::EccentricitySqToFlattening( e2 ); -} - -//***************************************************************************** -double Ellipsoid::FlatteningToEccentricitySq(double f) -{ - return GeographicLib::Ellipsoid::FlatteningToEccentricitySq( f ); -} - -//***************************************************************************** -double Ellipsoid::SecondEccentricitySqToFlattening(double ep2) -{ - return GeographicLib::Ellipsoid::SecondEccentricitySqToFlattening( ep2 ); -} - -//***************************************************************************** -double Ellipsoid::FlatteningToSecondEccentricitySq(double f) -{ - return GeographicLib::Ellipsoid::FlatteningToSecondEccentricitySq( f ); -} - -//***************************************************************************** -double Ellipsoid::ThirdEccentricitySqToFlattening(double epp2) -{ - return GeographicLib::Ellipsoid::ThirdEccentricitySqToFlattening( epp2 ); -} - -//***************************************************************************** -double Ellipsoid::FlatteningToThirdEccentricitySq(double f) -{ - return GeographicLib::Ellipsoid::FlatteningToThirdEccentricitySq( f ); -} - -//***************************************************************************** -double Ellipsoid::EquatorialRadius::get() -{ return m_pEllipsoid->EquatorialRadius(); } - -//***************************************************************************** -double Ellipsoid::MinorRadius::get() -{ return m_pEllipsoid->MinorRadius(); } - -//***************************************************************************** -double Ellipsoid::QuarterMeridian::get() -{ return m_pEllipsoid->QuarterMeridian(); } - -//***************************************************************************** -double Ellipsoid::Area::get() -{ return m_pEllipsoid->Area(); } - -//***************************************************************************** -double Ellipsoid::Volume::get() -{ return m_pEllipsoid->Volume(); } - -//***************************************************************************** -double Ellipsoid::Flattening::get() -{ return m_pEllipsoid->Flattening(); } - -//***************************************************************************** -double Ellipsoid::SecondFlattening::get() -{ return m_pEllipsoid->SecondFlattening(); } - -//***************************************************************************** -double Ellipsoid::ThirdFlattening::get() -{ return m_pEllipsoid->ThirdFlattening(); } - -//***************************************************************************** -double Ellipsoid::EccentricitySq::get() -{ return m_pEllipsoid->EccentricitySq(); } - -//***************************************************************************** -double Ellipsoid::SecondEccentricitySq::get() -{ return m_pEllipsoid->SecondEccentricitySq(); } - -//***************************************************************************** -double Ellipsoid::ThirdEccentricitySq::get() -{ return m_pEllipsoid->ThirdEccentricitySq(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Ellipsoid.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Ellipsoid.h deleted file mode 100644 index b233c13433d640fa80b541d85395e2ab27b28a4b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Ellipsoid.h +++ /dev/null @@ -1,519 +0,0 @@ -/** - * \file NETGeographicLib/Ellipsoid.h - * \brief Header for NETGeographicLib::Ellipsoid class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::Ellipsoid. - * - * This class allows .NET applications to access GeographicLib::Ellipsoid. - * - * This class returns various properties of the ellipsoid and converts - * between various types of latitudes. The latitude conversions are also - * possible using the various projections supported by %GeographicLib; but - * Ellipsoid provides more direct access (sometimes using private functions - * of the projection classes). Ellipsoid::RectifyingLatitude, - * Ellipsoid::InverseRectifyingLatitude, and Ellipsoid::MeridianDistance - * provide functionality which can be provided by the Geodesic class. - * However Geodesic uses a series approximation (valid for abs \e f < 1/150), - * whereas Ellipsoid computes these quantities using EllipticFunction which - * provides accurate results even when \e f is large. Use of this class - * should be limited to −3 < \e f < 3/4 (i.e., 1/4 < b/a < 4). - * - * C# Example: - * \include example-Ellipsoid.cs - * Managed C++ Example: - * \include example-Ellipsoid.cpp - * Visual Basic Example: - * \include example-Ellipsoid.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor has been provided that assumes a WGS84 ellipsoid. - * - * The following functions are implemented as properties: - * EquatorialRadius, MinorRadius, QuarterMeridian, Area, Volume, Flattening, - * SecondFlattening, ThirdFlattening, EccentricitySq, SecondEccentricitySq, - * and ThirdEccentricitySq. - **********************************************************************/ - public ref class Ellipsoid - { - private: - // A pointer to the unmanaged GeographicLib::Ellipsoid - GeographicLib::Ellipsoid* m_pEllipsoid; - - // The finalizer frees the unmanaged memory when the object is destroyed. - !Ellipsoid(); - public: - /** \name Constructor - **********************************************************************/ - ///@{ - - /** - * Constructor for a WGS84 ellipsoid - **********************************************************************/ - Ellipsoid(); - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @exception GeographicErr if \e a or (1 − \e f ) \e a is not - * positive. - **********************************************************************/ - Ellipsoid(double a, double f); - ///@} - - /** The destructor calls the finalizer. - **********************************************************************/ - ~Ellipsoid() - { this->!Ellipsoid(); } - - /** \name %Ellipsoid dimensions. - **********************************************************************/ - ///@{ - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e b the polar semi-axis (meters). - **********************************************************************/ - property double MinorRadius { double get(); } - - /** - * @return \e L the distance between the equator and a pole along a - * meridian (meters). For a sphere \e L = (π/2) \e a. The radius - * of a sphere with the same meridian length is \e L / (π/2). - **********************************************************************/ - property double QuarterMeridian { double get(); } - - /** - * @return \e A the total area of the ellipsoid (meters2). For - * a sphere \e A = 4π a2. The radius of a sphere - * with the same area is sqrt(\e A / (4π)). - **********************************************************************/ - property double Area { double get(); } - - /** - * @return \e V the total volume of the ellipsoid (meters3). - * For a sphere \e V = (4π / 3) a3. The radius of - * a sphere with the same volume is cbrt(\e V / (4π/3)). - **********************************************************************/ - property double Volume { double get(); } - ///@} - - /** \name %Ellipsoid shape - **********************************************************************/ - ///@{ - - /** - * @return \e f = (\e a − \e b) / \e a, the flattening of the - * ellipsoid. This is the value used in the constructor. This is zero, - * positive, or negative for a sphere, oblate ellipsoid, or prolate - * ellipsoid. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return \e f ' = (\e a − \e b) / \e b, the second flattening of - * the ellipsoid. This is zero, positive, or negative for a sphere, - * oblate ellipsoid, or prolate ellipsoid. - **********************************************************************/ - property double SecondFlattening { double get(); } - - /** - * @return \e n = (\e a − \e b) / (\e a + \e b), the third flattening - * of the ellipsoid. This is zero, positive, or negative for a sphere, - * oblate ellipsoid, or prolate ellipsoid. - **********************************************************************/ - property double ThirdFlattening { double get(); } - - /** - * @return e2 = (a2 − - * b2) / a2, the eccentricity squared - * of the ellipsoid. This is zero, positive, or negative for a sphere, - * oblate ellipsoid, or prolate ellipsoid. - **********************************************************************/ - property double EccentricitySq { double get(); } - - /** - * @return e' 2 = (a2 − - * b2) / b2, the second eccentricity - * squared of the ellipsoid. This is zero, positive, or negative for a - * sphere, oblate ellipsoid, or prolate ellipsoid. - **********************************************************************/ - property double SecondEccentricitySq { double get(); } - - /** - * @return e'' 2 = (a2 − - * b2) / (a2 + b2), - * the third eccentricity squared of the ellipsoid. This is zero, - * positive, or negative for a sphere, oblate ellipsoid, or prolate - * ellipsoid. - **********************************************************************/ - property double ThirdEccentricitySq { double get(); } - ///@} - - /** \name Latitude conversion. - **********************************************************************/ - ///@{ - - /** - * @param[in] phi the geographic latitude (degrees). - * @return β the parametric latitude (degrees). - * - * The geographic latitude, φ, is the angle beween the equatorial - * plane and a vector normal to the surface of the ellipsoid. - * - * The parametric latitude (also called the reduced latitude), β, - * allows the cartesian coordinated of a meridian to be expressed - * conveniently in parametric form as - * - \e R = \e a cos β - * - \e Z = \e b sin β - * . - * where \e a and \e b are the equatorial radius and the polar semi-axis. - * For a sphere β = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * β lies in [−90°, 90°]. - **********************************************************************/ - double ParametricLatitude(double phi); - - /** - * @param[in] beta the parametric latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * β must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - double InverseParametricLatitude(double beta); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return θ the geocentric latitude (degrees). - * - * The geocentric latitude, θ, is the angle beween the equatorial - * plane and a line between the center of the ellipsoid and a point on the - * ellipsoid. For a sphere θ = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * θ lies in [−90°, 90°]. - **********************************************************************/ - double GeocentricLatitude(double phi); - - /** - * @param[in] theta the geocentric latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * θ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - double InverseGeocentricLatitude(double theta); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return μ the rectifying latitude (degrees). - * - * The rectifying latitude, μ, has the property that the distance along - * a meridian of the ellipsoid between two points with rectifying latitudes - * μ1 and μ2 is equal to - * (μ2 - μ1) \e L / 90°, - * where \e L = QuarterMeridian(). For a sphere μ = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * μ lies in [−90°, 90°]. - **********************************************************************/ - double RectifyingLatitude(double phi); - - /** - * @param[in] mu the rectifying latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * μ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - double InverseRectifyingLatitude(double mu); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return ξ the authalic latitude (degrees). - * - * The authalic latitude, ξ, has the property that the area of the - * ellipsoid between two circles with authalic latitudes - * ξ1 and ξ2 is equal to (sin - * ξ2 - sin ξ1) \e A / 2, where \e A - * = Area(). For a sphere ξ = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * ξ lies in [−90°, 90°]. - **********************************************************************/ - double AuthalicLatitude(double phi); - - /** - * @param[in] xi the authalic latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * ξ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - double InverseAuthalicLatitude(double xi); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return χ the conformal latitude (degrees). - * - * The conformal latitude, χ, gives the mapping of the ellipsoid to a - * sphere which which is conformal (angles are preserved) and in which the - * equator of the ellipsoid maps to the equator of the sphere. For a - * sphere χ = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * χ lies in [−90°, 90°]. - **********************************************************************/ - double ConformalLatitude(double phi); - - /** - * @param[in] chi the conformal latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * χ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - double InverseConformalLatitude(double chi); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return ψ the isometric latitude (degrees). - * - * The isometric latitude gives the mapping of the ellipsoid to a plane - * which which is conformal (angles are preserved) and in which the equator - * of the ellipsoid maps to a straight line of constant scale; this mapping - * defines the Mercator projection. For a sphere ψ = - * sinh−1 tan φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - double IsometricLatitude(double phi); - - /** - * @param[in] psi the isometric latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * The returned value φ lies in [−90°, 90°]. - **********************************************************************/ - double InverseIsometricLatitude(double psi); - ///@} - - /** \name Other quantities. - **********************************************************************/ - ///@{ - - /** - * @param[in] phi the geographic latitude (degrees). - * @return \e R = \e a cos β the radius of a circle of latitude - * φ (meters). \e R (π/180°) gives meters per degree - * longitude measured along a circle of latitude. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - double CircleRadius(double phi); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return \e Z = \e b sin β the distance of a circle of latitude - * φ from the equator measured parallel to the ellipsoid axis - * (meters). - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - double CircleHeight(double phi); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return \e s the distance along a meridian - * between the equator and a point of latitude φ (meters). \e s is - * given by \e s = μ \e L / 90°, where \e L = - * QuarterMeridian()). - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - double MeridianDistance(double phi); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return ρ the meridional radius of curvature of the ellipsoid at - * latitude φ (meters); this is the curvature of the meridian. \e - * rho is given by ρ = (180°/π) d\e s / dφ, - * where \e s = MeridianDistance(); thus ρ (π/180°) - * gives meters per degree latitude measured along a meridian. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - double MeridionalCurvatureRadius(double phi); - - /** - * @param[in] phi the geographic latitude (degrees). - * @return ν the transverse radius of curvature of the ellipsoid at - * latitude φ (meters); this is the curvature of a curve on the - * ellipsoid which also lies in a plane perpendicular to the ellipsoid - * and to the meridian. ν is related to \e R = CircleRadius() by \e - * R = ν cos φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - double TransverseCurvatureRadius(double phi); - - /** - * @param[in] phi the geographic latitude (degrees). - * @param[in] azi the angle between the meridian and the normal section - * (degrees). - * @return the radius of curvature of the ellipsoid in the normal - * section at latitude φ inclined at an angle \e azi to the - * meridian (meters). - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - double NormalCurvatureRadius(double phi, double azi); - ///@} - - /** \name Eccentricity conversions. - **********************************************************************/ - ///@{ - - /** - * @param[in] fp = \e f ' = (\e a − \e b) / \e b, the second - * flattening. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * \e f ' should lie in (−1, ∞). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static double SecondFlatteningToFlattening(double fp); - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return \e f ' = (\e a − \e b) / \e b, the second flattening. - * - * \e f should lie in (−∞, 1). - * The returned value \e f ' lies in (−1, ∞). - **********************************************************************/ - static double FlatteningToSecondFlattening(double f); - - /** - * @param[in] n = (\e a − \e b) / (\e a + \e b), the third - * flattening. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * \e n should lie in (−1, 1). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static double ThirdFlatteningToFlattening(double n); - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return \e n = (\e a − \e b) / (\e a + \e b), the third - * flattening. - * - * \e f should lie in (−∞, 1). - * The returned value \e n lies in (−1, 1). - **********************************************************************/ - static double FlatteningToThirdFlattening(double f); - - /** - * @param[in] e2 = e2 = (a2 − - * b2) / a2, the eccentricity - * squared. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * e2 should lie in (−∞, 1). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static double EccentricitySqToFlattening(double e2); - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return e2 = (a2 − - * b2) / a2, the eccentricity - * squared. - * - * \e f should lie in (−∞, 1). - * The returned value e2 lies in (−∞, 1). - **********************************************************************/ - static double FlatteningToEccentricitySq(double f); - - /** - * @param[in] ep2 = e' 2 = (a2 − - * b2) / b2, the second eccentricity - * squared. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * e' 2 should lie in (−1, ∞). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static double SecondEccentricitySqToFlattening(double ep2); - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return e' 2 = (a2 − - * b2) / b2, the second eccentricity - * squared. - * - * \e f should lie in (−∞, 1). - * The returned value e' 2 lies in (−1, ∞). - **********************************************************************/ - static double FlatteningToSecondEccentricitySq(double f); - - /** - * @param[in] epp2 = e'' 2 = (a2 - * − b2) / (a2 + - * b2), the third eccentricity squared. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * e'' 2 should lie in (−1, 1). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static double ThirdEccentricitySqToFlattening(double epp2); - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return e'' 2 = (a2 − - * b2) / (a2 + b2), - * the third eccentricity squared. - * - * \e f should lie in (−∞, 1). - * The returned value e'' 2 lies in (−1, 1). - **********************************************************************/ - static double FlatteningToThirdEccentricitySq(double f); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/EllipticFunction.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/EllipticFunction.cpp deleted file mode 100644 index b6abe6962a5757cb2229a3f21065c1dacd383d97..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/EllipticFunction.cpp +++ /dev/null @@ -1,311 +0,0 @@ -/** - * \file NETGeographicLib/EllipticFunction.cpp - * \brief Implementation for NETGeographicLib::EllipticFunction class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/EllipticFunction.hpp" -#include "EllipticFunction.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for the GeographicLib::EllipticFunction."; - -//***************************************************************************** -EllipticFunction::EllipticFunction(double k2, double alpha2) -{ - try - { - m_pEllipticFunction = new GeographicLib::EllipticFunction( k2, alpha2 ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -EllipticFunction::EllipticFunction(double k2, double alpha2, double kp2, double alphap2) -{ - try - { - m_pEllipticFunction = new GeographicLib::EllipticFunction( k2, alpha2, kp2, alphap2 ); - } - catch ( std::bad_alloc err ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -EllipticFunction::!EllipticFunction() -{ - if ( m_pEllipticFunction != NULL ) - { - delete m_pEllipticFunction; - m_pEllipticFunction = NULL; - } -} - -//***************************************************************************** -void EllipticFunction::Reset(double k2, double alpha2 ) -{ - m_pEllipticFunction->Reset( k2, alpha2 ); -} - -//***************************************************************************** -void EllipticFunction::Reset(double k2, double alpha2, double kp2, double alphap2) -{ - m_pEllipticFunction->Reset( k2, alpha2, kp2, alphap2 ); -} - -//***************************************************************************** -double EllipticFunction::K() -{ - return m_pEllipticFunction->K(); -} - -//***************************************************************************** -double EllipticFunction::E() -{ - return m_pEllipticFunction->E(); -} - -//***************************************************************************** -double EllipticFunction::D() -{ - return m_pEllipticFunction->D(); -} - -//***************************************************************************** -double EllipticFunction::KE() -{ - return m_pEllipticFunction->KE(); -} - -//***************************************************************************** -double EllipticFunction::Pi() -{ - return m_pEllipticFunction->Pi(); -} - -//***************************************************************************** -double EllipticFunction::G() -{ - return m_pEllipticFunction->G(); -} - -//***************************************************************************** -double EllipticFunction::H() -{ - return m_pEllipticFunction->H(); -} - -//***************************************************************************** -double EllipticFunction::F(double phi) -{ - return m_pEllipticFunction->F( phi ); -} - -//***************************************************************************** -double EllipticFunction::E(double phi) -{ - return m_pEllipticFunction->E( phi ); -} - -//***************************************************************************** -double EllipticFunction::Ed(double ang) -{ - return m_pEllipticFunction->Ed(ang); -} - -//***************************************************************************** -double EllipticFunction::Einv(double x) -{ - return m_pEllipticFunction->Einv(x); -} - -//***************************************************************************** -double EllipticFunction::Pi(double phi) -{ - return m_pEllipticFunction->Pi(phi); -} - -//***************************************************************************** -double EllipticFunction::D(double phi) -{ - return m_pEllipticFunction->D(phi); -} - -//***************************************************************************** -double EllipticFunction::G(double phi) -{ - return m_pEllipticFunction->G(phi); -} - -//***************************************************************************** -double EllipticFunction::H(double phi) -{ - return m_pEllipticFunction->H(phi); -} - -//***************************************************************************** -double EllipticFunction::F(double sn, double cn, double dn) -{ - return m_pEllipticFunction->F( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::E(double sn, double cn, double dn) -{ - return m_pEllipticFunction->E( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::Pi(double sn, double cn, double dn) -{ - return m_pEllipticFunction->Pi( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::D(double sn, double cn, double dn) -{ - return m_pEllipticFunction->D( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::G(double sn, double cn, double dn) -{ - return m_pEllipticFunction->G( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::H(double sn, double cn, double dn) -{ - return m_pEllipticFunction->H( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::deltaF(double sn, double cn, double dn) -{ - return m_pEllipticFunction->deltaF( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::deltaE(double sn, double cn, double dn) -{ - return m_pEllipticFunction->deltaE( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::deltaEinv(double stau, double ctau) -{ - return m_pEllipticFunction->deltaEinv( stau, ctau ); -} - -//***************************************************************************** -double EllipticFunction::deltaPi(double sn, double cn, double dn) -{ - return m_pEllipticFunction->deltaPi( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::deltaD(double sn, double cn, double dn) -{ - return m_pEllipticFunction->deltaD( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::deltaG(double sn, double cn, double dn) -{ - return m_pEllipticFunction->deltaG( sn, cn, dn ); -} - -//***************************************************************************** -double EllipticFunction::deltaH(double sn, double cn, double dn) -{ - return m_pEllipticFunction->deltaH( sn, cn, dn ); -} - -//***************************************************************************** -void EllipticFunction::sncndn(double x, - [System::Runtime::InteropServices::Out] double% sn, - [System::Runtime::InteropServices::Out] double% cn, - [System::Runtime::InteropServices::Out] double% dn) -{ - double lsn, lcn, ldn; - m_pEllipticFunction->sncndn( x, lsn, lcn, ldn ); - sn = lsn; - cn = lcn; - dn = ldn; -} - -//***************************************************************************** -double EllipticFunction::Delta(double sn, double cn) -{ - return m_pEllipticFunction->Delta( sn, cn ); -} - -//***************************************************************************** -double EllipticFunction::RF(double x, double y, double z) -{ - return GeographicLib::EllipticFunction::RF( x, y, z ); -} - -//***************************************************************************** -double EllipticFunction::RF(double x, double y) -{ - return GeographicLib::EllipticFunction::RF( x, y ); -} - -//***************************************************************************** -double EllipticFunction::RC(double x, double y) -{ - return GeographicLib::EllipticFunction::RC( x, y ); -} - -//***************************************************************************** -double EllipticFunction::RG(double x, double y, double z) -{ - return GeographicLib::EllipticFunction::RG( x, y, z ); -} - -//***************************************************************************** -double EllipticFunction::RG(double x, double y) -{ - return GeographicLib::EllipticFunction::RG( x, y ); -} - -//***************************************************************************** -double EllipticFunction::RJ(double x, double y, double z, double p) -{ - return GeographicLib::EllipticFunction::RJ( x, y, z, p ); -} - -//***************************************************************************** -double EllipticFunction::RD(double x, double y, double z) -{ - return GeographicLib::EllipticFunction::RD( x, y, z ); -} - -//***************************************************************************** -double EllipticFunction::k2::get() -{ return m_pEllipticFunction->k2(); } - -//***************************************************************************** -double EllipticFunction::kp2::get() -{ return m_pEllipticFunction->kp2(); } - -//***************************************************************************** -double EllipticFunction::alpha2::get() -{ return m_pEllipticFunction->alpha2(); } - -//***************************************************************************** -double EllipticFunction::alphap2::get() -{ return m_pEllipticFunction->alpha2(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/EllipticFunction.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/EllipticFunction.h deleted file mode 100644 index 7793f6fe60c1e858e10107d8a388920804288535..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/EllipticFunction.h +++ /dev/null @@ -1,698 +0,0 @@ -/** - * \file NETGeographicLib/EllipticFunction.h - * \brief Header for NETGeographicLib::EllipticFunction class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::EllipticFunction. - * - * This class allows .NET applications to access GeographicLib::EllipticFunction. - * - * This provides the elliptic functions and integrals needed for Ellipsoid, - * GeodesicExact, and TransverseMercatorExact. Two categories of function - * are provided: - * - \e static functions to compute symmetric elliptic integrals - * (https://dlmf.nist.gov/19.16.i) - * - \e member functions to compute Legrendre's elliptic - * integrals (https://dlmf.nist.gov/19.2.ii) and the - * Jacobi elliptic functions (https://dlmf.nist.gov/22.2). - * . - * In the latter case, an object is constructed giving the modulus \e k (and - * optionally the parameter α2). The modulus is always - * passed as its square k2 which allows \e k to be pure - * imaginary (k2 < 0). (Confusingly, Abramowitz and - * Stegun call \e m = k2 the "parameter" and \e n = - * α2 the "characteristic".) - * - * In geodesic applications, it is convenient to separate the incomplete - * integrals into secular and periodic components, e.g., - * \f[ - * E(\phi, k) = (2 E(\phi) / \pi) [ \phi + \delta E(\phi, k) ] - * \f] - * where δ\e E(φ, \e k) is an odd periodic function with period - * π. - * - * The computation of the elliptic integrals uses the algorithms given in - * - B. C. Carlson, - * Computation of real or - * complex elliptic integrals, Numerical Algorithms 10, 13--26 (1995) - * . - * with the additional optimizations given in https://dlmf.nist.gov/19.36.i. - * The computation of the Jacobi elliptic functions uses the algorithm given - * in - * - R. Bulirsch, - * Numerical Calculation of - * Elliptic Integrals and Elliptic Functions, Numericshe Mathematik 7, - * 78--90 (1965). - * . - * The notation follows https://dlmf.nist.gov/19 and https://dlmf.nist.gov/22 - * - * C# Example: - * \include example-EllipticFunction.cs - * Managed C++ Example: - * \include example-EllipticFunction.cpp - * Visual Basic Example: - * \include example-EllipticFunction.vb - * - * INTERFACE DIFFERENCES:
- * The k2, kp2, alpha2, and alphap2 functions are implemented as properties. - **********************************************************************/ - public ref class EllipticFunction - { - private: - // a pointer to the unmanaged GeographicLib::EllipticFunction. - GeographicLib::EllipticFunction* m_pEllipticFunction; - - // The finalizer frees the unmanaged memory. - !EllipticFunction(); - public: - /** \name Constructor - **********************************************************************/ - ///@{ - /** - * Constructor specifying the modulus and parameter. - * - * @param[in] k2 the square of the modulus k2. - * k2 must lie in (-∞, 1). (No checking is - * done.) - * @param[in] alpha2 the parameter α2. - * α2 must lie in (-∞, 1). (No checking is done.) - * - * If only elliptic integrals of the first and second kinds are needed, - * then set α2 = 0 (the default value); in this case, we - * have Π(φ, 0, \e k) = \e F(φ, \e k), \e G(φ, 0, \e k) = \e - * E(φ, \e k), and \e H(φ, 0, \e k) = \e F(φ, \e k) - \e - * D(φ, \e k). - **********************************************************************/ - EllipticFunction(double k2, double alpha2 ); - - /** - * Constructor specifying the modulus and parameter and their complements. - * - * @param[in] k2 the square of the modulus k2. - * k2 must lie in (-∞, 1). (No checking is - * done.) - * @param[in] alpha2 the parameter α2. - * α2 must lie in (-∞, 1). (No checking is done.) - * @param[in] kp2 the complementary modulus squared k'2 = - * 1 − k2. - * @param[in] alphap2 the complementary parameter α'2 = 1 - * − α2. - * - * The arguments must satisfy \e k2 + \e kp2 = 1 and \e alpha2 + \e alphap2 - * = 1. (No checking is done that these conditions are met.) This - * constructor is provided to enable accuracy to be maintained, e.g., when - * \e k is very close to unity. - **********************************************************************/ - EllipticFunction(double k2, double alpha2, double kp2, double alphap2); - - /** - * Destructor calls the finalizer. - **********************************************************************/ - ~EllipticFunction() - { this->!EllipticFunction(); } - - /** - * Reset the modulus and parameter. - * - * @param[in] k2 the new value of square of the modulus - * k2 which must lie in (-∞, 1). (No checking is - * done.) - * @param[in] alpha2 the new value of parameter α2. - * α2 must lie in (-∞, 1). (No checking is done.) - **********************************************************************/ - void Reset(double k2, double alpha2 ); - - /** - * Reset the modulus and parameter supplying also their complements. - * - * @param[in] k2 the square of the modulus k2. - * k2 must lie in (-∞, 1). (No checking is - * done.) - * @param[in] alpha2 the parameter α2. - * α2 must lie in (-∞, 1). (No checking is done.) - * @param[in] kp2 the complementary modulus squared k'2 = - * 1 − k2. - * @param[in] alphap2 the complementary parameter α'2 = 1 - * − α2. - * - * The arguments must satisfy \e k2 + \e kp2 = 1 and \e alpha2 + \e alphap2 - * = 1. (No checking is done that these conditions are met.) This - * constructor is provided to enable accuracy to be maintained, e.g., when - * is very small. - **********************************************************************/ - void Reset(double k2, double alpha2, double kp2, double alphap2); - - ///@} - - /** \name Inspector functions. - **********************************************************************/ - ///@{ - /** - * @return the square of the modulus k2. - **********************************************************************/ - property double k2 { double get(); } - - /** - * @return the square of the complementary modulus k'2 = - * 1 − k2. - **********************************************************************/ - property double kp2 { double get(); } - - /** - * @return the parameter α2. - **********************************************************************/ - property double alpha2 { double get(); } - - /** - * @return the complementary parameter α'2 = 1 − - * α2. - **********************************************************************/ - property double alphap2 { double get(); } - ///@} - - /** \name Complete elliptic integrals. - **********************************************************************/ - ///@{ - /** - * The complete integral of the first kind. - * - * @return \e K(\e k). - * - * \e K(\e k) is defined in https://dlmf.nist.gov/19.2.E4 - * \f[ - * K(k) = \int_0^{\pi/2} \frac1{\sqrt{1-k^2\sin^2\phi}}\,d\phi. - * \f] - **********************************************************************/ - double K(); - - /** - * The complete integral of the second kind. - * - * @return \e E(\e k) - * - * \e E(\e k) is defined in https://dlmf.nist.gov/19.2.E5 - * \f[ - * E(k) = \int_0^{\pi/2} \sqrt{1-k^2\sin^2\phi}\,d\phi. - * \f] - **********************************************************************/ - double E(); - - /** - * Jahnke's complete integral. - * - * @return \e D(\e k). - * - * \e D(\e k) is defined in https://dlmf.nist.gov/19.2.E6 - * \f[ - * D(k) = \int_0^{\pi/2} \frac{\sin^2\phi}{\sqrt{1-k^2\sin^2\phi}}\,d\phi. - * \f] - **********************************************************************/ - double D(); - - /** - * The difference between the complete integrals of the first and second - * kinds. - * - * @return \e K(\e k) − \e E(\e k). - **********************************************************************/ - double KE(); - - /** - * The complete integral of the third kind. - * - * @return Π(α2, \e k) - * - * Π(α2, \e k) is defined in - * https://dlmf.nist.gov/19.2.E7 - * \f[ - * \Pi(\alpha^2, k) = \int_0^{\pi/2} - * \frac1{\sqrt{1-k^2\sin^2\phi}(1 - \alpha^2\sin^2\phi_)}\,d\phi. - * \f] - **********************************************************************/ - double Pi(); - - /** - * Legendre's complete geodesic longitude integral. - * - * @return \e G(α2, \e k) - * - * \e G(α2, \e k) is given by - * \f[ - * G(\alpha^2, k) = \int_0^{\pi/2} - * \frac{\sqrt{1-k^2\sin^2\phi}}{1 - \alpha^2\sin^2\phi}\,d\phi. - * \f] - **********************************************************************/ - double G(); - - /** - * Cayley's complete geodesic longitude difference integral. - * - * @return \e H(α2, \e k) - * - * \e H(α2, \e k) is given by - * \f[ - * H(\alpha^2, k) = \int_0^{\pi/2} - * \frac{\cos^2\phi}{(1-\alpha^2\sin^2\phi)\sqrt{1-k^2\sin^2\phi}} - * \,d\phi. - * \f] - **********************************************************************/ - double H(); - ///@} - - /** \name Incomplete elliptic integrals. - **********************************************************************/ - ///@{ - /** - * The incomplete integral of the first kind. - * - * @param[in] phi - * @return \e F(φ, \e k). - * - * \e F(φ, \e k) is defined in https://dlmf.nist.gov/19.2.E4 - * \f[ - * F(\phi, k) = \int_0^\phi \frac1{\sqrt{1-k^2\sin^2\theta}}\,d\theta. - * \f] - **********************************************************************/ - double F(double phi); - - /** - * The incomplete integral of the second kind. - * - * @param[in] phi - * @return \e E(φ, \e k). - * - * \e E(φ, \e k) is defined in https://dlmf.nist.gov/19.2.E5 - * \f[ - * E(\phi, k) = \int_0^\phi \sqrt{1-k^2\sin^2\theta}\,d\theta. - * \f] - **********************************************************************/ - double E(double phi); - - /** - * The incomplete integral of the second kind with the argument given in - * degrees. - * - * @param[in] ang in degrees. - * @return \e E(π ang/180, \e k). - **********************************************************************/ - double Ed(double ang); - - /** - * The inverse of the incomplete integral of the second kind. - * - * @param[in] x - * @return φ = E−1(\e x, \e k); i.e., the - * solution of such that \e E(φ, \e k) = \e x. - **********************************************************************/ - double Einv(double x); - - /** - * The incomplete integral of the third kind. - * - * @param[in] phi - * @return Π(φ, α2, \e k). - * - * Π(φ, α2, \e k) is defined in - * https://dlmf.nist.gov/19.2.E7 - * \f[ - * \Pi(\phi, \alpha^2, k) = \int_0^\phi - * \frac1{\sqrt{1-k^2\sin^2\theta}(1 - \alpha^2\sin^2\theta_)}\,d\theta. - * \f] - **********************************************************************/ - double Pi(double phi); - - /** - * Jahnke's incomplete elliptic integral. - * - * @param[in] phi - * @return \e D(φ, \e k). - * - * \e D(φ, \e k) is defined in https://dlmf.nist.gov/19.2.E4 - * \f[ - * D(\phi, k) = \int_0^\phi - * \frac{\sin^2\theta}{\sqrt{1-k^2\sin^2\theta}}\,d\theta. - * \f] - **********************************************************************/ - double D(double phi); - - /** - * Legendre's geodesic longitude integral. - * - * @param[in] phi - * @return \e G(φ, α2, \e k). - * - * \e G(φ, α2, \e k) is defined by - * \f[ - * \begin{aligned} - * G(\phi, \alpha^2, k) &= - * \frac{k^2}{\alpha^2} F(\phi, k) + - * \biggl(1 - \frac{k^2}{\alpha^2}\biggr) \Pi(\phi, \alpha^2, k) \\ - * &= \int_0^\phi - * \frac{\sqrt{1-k^2\sin^2\theta}}{1 - \alpha^2\sin^2\theta}\,d\theta. - * \end{aligned} - * \f] - * - * Legendre expresses the longitude of a point on the geodesic in terms of - * this combination of elliptic integrals in Exercices de Calcul - * Intégral, Vol. 1 (1811), p. 181, - * https://books.google.com/books?id=riIOAAAAQAAJ&pg=PA181. - * - * See \ref geodellip for the expression for the longitude in terms of this - * function. - **********************************************************************/ - double G(double phi); - - /** - * Cayley's geodesic longitude difference integral. - * - * @param[in] phi - * @return \e H(φ, α2, \e k). - * - * \e H(φ, α2, \e k) is defined by - * \f[ - * \begin{aligned} - * H(\phi, \alpha^2, k) &= - * \frac1{\alpha^2} F(\phi, k) + - * \biggl(1 - \frac1{\alpha^2}\biggr) \Pi(\phi, \alpha^2, k) \\ - * &= \int_0^\phi - * \frac{\cos^2\theta}{(1-\alpha^2\sin^2\theta)\sqrt{1-k^2\sin^2\theta}} - * \,d\theta. - * \end{aligned} - * \f] - * - * Cayley expresses the longitude difference of a point on the geodesic in - * terms of this combination of elliptic integrals in Phil. Mag. 40 - * (1870), p. 333, https://books.google.com/books?id=Zk0wAAAAIAAJ&pg=PA333. - * - * See \ref geodellip for the expression for the longitude in terms of this - * function. - **********************************************************************/ - double H(double phi); - ///@} - - /** \name Incomplete integrals in terms of Jacobi elliptic functions. - **********************************************************************/ - /** - * The incomplete integral of the first kind in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return \e F(φ, \e k) as though φ ∈ (−π, π]. - **********************************************************************/ - double F(double sn, double cn, double dn); - - /** - * The incomplete integral of the second kind in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return \e E(φ, \e k) as though φ ∈ (−π, π]. - **********************************************************************/ - double E(double sn, double cn, double dn); - - /** - * The incomplete integral of the third kind in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return Π(φ, α2, \e k) as though φ ∈ - * (−π, π]. - **********************************************************************/ - double Pi(double sn, double cn, double dn); - - /** - * Jahnke's incomplete elliptic integral in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return \e D(φ, \e k) as though φ ∈ (−π, π]. - **********************************************************************/ - double D(double sn, double cn, double dn); - - /** - * Legendre's geodesic longitude integral in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return \e G(φ, α2, \e k) as though φ ∈ - * (−π, π]. - **********************************************************************/ - double G(double sn, double cn, double dn); - - /** - * Cayley's geodesic longitude difference integral in terms of Jacobi - * elliptic functions. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return \e H(φ, α2, \e k) as though φ ∈ - * (−π, π]. - **********************************************************************/ - double H(double sn, double cn, double dn); - ///@} - - /** \name Periodic versions of incomplete elliptic integrals. - **********************************************************************/ - ///@{ - /** - * The periodic incomplete integral of the first kind. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return the periodic function π \e F(φ, \e k) / (2 \e K(\e k)) - - * φ - **********************************************************************/ - double deltaF(double sn, double cn, double dn); - - /** - * The periodic incomplete integral of the second kind. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return the periodic function π \e E(φ, \e k) / (2 \e E(\e k)) - - * φ - **********************************************************************/ - double deltaE(double sn, double cn, double dn); - - /** - * The periodic inverse of the incomplete integral of the second kind. - * - * @param[in] stau = sinτ - * @param[in] ctau = sinτ - * @return the periodic function E−1(τ (2 \e - * E(\e k)/π), \e k) - τ - **********************************************************************/ - double deltaEinv(double stau, double ctau); - - /** - * The periodic incomplete integral of the third kind. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return the periodic function π Π(φ, \e k) / (2 Π(\e k)) - - * φ - **********************************************************************/ - double deltaPi(double sn, double cn, double dn); - - /** - * The periodic Jahnke's incomplete elliptic integral. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return the periodic function π \e D(φ, \e k) / (2 \e D(\e k)) - - * φ - **********************************************************************/ - double deltaD(double sn, double cn, double dn); - - /** - * Legendre's periodic geodesic longitude integral. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return the periodic function π \e G(φ, \e k) / (2 \e G(\e k)) - - * φ - **********************************************************************/ - double deltaG(double sn, double cn, double dn); - - /** - * Cayley's periodic geodesic longitude difference integral. - * - * @param[in] sn = sinφ - * @param[in] cn = cosφ - * @param[in] dn = sqrt(1 − k2 - * sin2φ) - * @return the periodic function π \e H(φ, \e k) / (2 \e H(\e k)) - - * φ - **********************************************************************/ - double deltaH(double sn, double cn, double dn); - ///@} - - /** \name Elliptic functions. - **********************************************************************/ - ///@{ - /** - * The Jacobi elliptic functions. - * - * @param[in] x the argument. - * @param[out] sn sn(\e x, \e k). - * @param[out] cn cn(\e x, \e k). - * @param[out] dn dn(\e x, \e k). - **********************************************************************/ - void sncndn(double x, - [System::Runtime::InteropServices::Out] double% sn, - [System::Runtime::InteropServices::Out] double% cn, - [System::Runtime::InteropServices::Out] double% dn); - - /** - * The Δ amplitude function. - * - * @param[in] sn sinφ - * @param[in] cn cosφ - * @return Δ = sqrt(1 − k2 - * sin2φ) - **********************************************************************/ - double Delta(double sn, double cn); - ///@} - - /** \name Symmetric elliptic integrals. - **********************************************************************/ - ///@{ - /** - * Symmetric integral of the first kind RF. - * - * @param[in] x - * @param[in] y - * @param[in] z - * @return RF(\e x, \e y, \e z) - * - * RF is defined in https://dlmf.nist.gov/19.16.E1 - * \f[ R_F(x, y, z) = \frac12 - * \int_0^\infty\frac1{\sqrt{(t + x) (t + y) (t + z)}}\, dt \f] - * If one of the arguments is zero, it is more efficient to call the - * two-argument version of this function with the non-zero arguments. - **********************************************************************/ - static double RF(double x, double y, double z); - - /** - * Complete symmetric integral of the first kind, RF with - * one argument zero. - * - * @param[in] x - * @param[in] y - * @return RF(\e x, \e y, 0) - **********************************************************************/ - static double RF(double x, double y); - - /** - * Degenerate symmetric integral of the first kind RC. - * - * @param[in] x - * @param[in] y - * @return RC(\e x, \e y) = RF(\e x, \e - * y, \e y) - * - * RC is defined in https://dlmf.nist.gov/19.2.E17 - * \f[ R_C(x, y) = \frac12 - * \int_0^\infty\frac1{\sqrt{t + x}(t + y)}\,dt \f] - **********************************************************************/ - static double RC(double x, double y); - - /** - * Symmetric integral of the second kind RG. - * - * @param[in] x - * @param[in] y - * @param[in] z - * @return RG(\e x, \e y, \e z) - * - * RG is defined in Carlson, eq 1.5 - * \f[ R_G(x, y, z) = \frac14 - * \int_0^\infty[(t + x) (t + y) (t + z)]^{-1/2} - * \biggl( - * \frac x{t + x} + \frac y{t + y} + \frac z{t + z} - * \biggr)t\,dt \f] - * See also https://dlmf.nist.gov/19.16.E3. - * If one of the arguments is zero, it is more efficient to call the - * two-argument version of this function with the non-zero arguments. - **********************************************************************/ - static double RG(double x, double y, double z); - - /** - * Complete symmetric integral of the second kind, RG - * with one argument zero. - * - * @param[in] x - * @param[in] y - * @return RG(\e x, \e y, 0) - **********************************************************************/ - static double RG(double x, double y); - - /** - * Symmetric integral of the third kind RJ. - * - * @param[in] x - * @param[in] y - * @param[in] z - * @param[in] p - * @return RJ(\e x, \e y, \e z, \e p) - * - * RJ is defined in https://dlmf.nist.gov/19.16.E2 - * \f[ R_J(x, y, z, p) = \frac32 - * \int_0^\infty[(t + x) (t + y) (t + z)]^{-1/2} (t + p)^{-1}\, dt \f] - **********************************************************************/ - static double RJ(double x, double y, double z, double p); - - /** - * Degenerate symmetric integral of the third kind RD. - * - * @param[in] x - * @param[in] y - * @param[in] z - * @return RD(\e x, \e y, \e z) = RJ(\e - * x, \e y, \e z, \e z) - * - * RD is defined in https://dlmf.nist.gov/19.16.E5 - * \f[ R_D(x, y, z) = \frac32 - * \int_0^\infty[(t + x) (t + y)]^{-1/2} (t + z)^{-3/2}\, dt \f] - **********************************************************************/ - static double RD(double x, double y, double z); - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GARS.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GARS.cpp deleted file mode 100644 index e095aa61b77b37c144cfe598ccc8cd56a7b7c61f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GARS.cpp +++ /dev/null @@ -1,57 +0,0 @@ -/** - * \file NETGeographicLib/GARS.cpp - * \brief Source for NETGeographicLib::GARS class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013-2015) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/GARS.hpp" -#include "GARS.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -void GARS::Forward(double lat, double lon, int prec, System::String^% gars) -{ - try - { - std::string l; - GeographicLib::GARS::Forward( lat, lon, prec, l ); - gars = gcnew System::String( l.c_str() ); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} - -//***************************************************************************** -void GARS::Reverse( System::String^ gars, double% lat, double% lon, - int% prec, bool centerp) -{ - try - { - double llat, llon; - int lprec; - GeographicLib::GARS::Reverse( StringConvert::ManagedToUnmanaged( gars ), - llat, llon, lprec, centerp ); - lat = llat; - lon = llon; - prec = lprec; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double GARS::Resolution(int prec) { return GeographicLib::GARS::Resolution(prec); } - -//***************************************************************************** -int GARS::Precision(double res) { return GeographicLib::GARS::Precision(res); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GARS.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GARS.h deleted file mode 100644 index 35ec3e154bf34783e4f8bf14e206c9122202544e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GARS.h +++ /dev/null @@ -1,109 +0,0 @@ -/** - * \file NETGeographicLib/GARS.h - * \brief Header for NETGeographicLib::GARS class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013-2015) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET Wrapper for GeographicLib::GARS - * - * This class allows .NET applications to access GeographicLib::GARS. - * - * The Global Area Reference System is described in - * - https://en.wikipedia.org/wiki/Global_Area_Reference_System - * - http://earth-info.nga.mil/GandG/coordsys/grids/gars.html - * . - * It provides a compact string representation of a geographic area - * (expressed as latitude and longitude). The classes Georef and Geohash - * implement similar compact representations. - * - * C# Example: - * \include example-GARS.cs - * Managed C++ Example: - * \include example-GARS.cpp - * Visual Basic Example: - * \include example-GARS.vb - **********************************************************************/ - public ref class GARS - { - // all memebers of this class are static so the constructor is hidden. - GARS() {} - - public: - - /** - * Convert from geographic coordinates to GARS. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] prec the precision of the resulting GARS. - * @param[out] gars the GARS string. - * @exception GeographicErr if \e lat is not in [−90°, - * 90°] or if memory for \e gars can't be allocated. - * - * \e prec specifies the precision of \e gars as follows: - * - \e prec = 0 (min), 30' precision, e.g., 006AG; - * - \e prec = 1, 15' precision, e.g., 006AG3; - * - \e prec = 2 (max), 5' precision, e.g., 006AG39. - * - * If \e lat or \e lon is NaN, then \e gars is set to "INVALID". - **********************************************************************/ - static void Forward(double lat, double lon, int prec, - [System::Runtime::InteropServices::Out] System::String^% gars); - - /** - * Convert from GARS to geographic coordinates. - * - * @param[in] gars the GARS. - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] prec the precision of \e gars. - * @param[in] centerp if true (the default) return the center of the - * \e gars, otherwise return the south-west corner. - * @exception GeographicErr if \e gars is illegal. - * - * The case of the letters in \e gars is ignored. \e prec is in the range - * [0, 2] and gives the precision of \e gars as follows: - * - \e prec = 0 (min), 30' precision, e.g., 006AG; - * - \e prec = 1, 15' precision, e.g., 006AG3; - * - \e prec = 2 (max), 5' precision, e.g., 006AG39. - * - * If the first 3 characters of \e gars are "INV", then \e lat and \e lon - * are set to NaN and \e prec is unchanged. - **********************************************************************/ - static void Reverse( System::String^ gars, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] int% prec, - bool centerp); - - /** - * The angular resolution of a GARS. - * - * @param[in] prec the precision of the GARS. - * @return the latitude-longitude resolution (degrees). - * - * Internally, \e prec is first put in the range [0, 2]. - **********************************************************************/ - static double Resolution(int prec); - - /** - * The GARS precision required to meet a given geographic resolution. - * - * @param[in] res the minimum of resolution in latitude and longitude - * (degrees). - * @return GARS precision. - * - * The returned length is in the range [0, 2]. - **********************************************************************/ - static int Precision(double res); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeoCoords.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeoCoords.cpp deleted file mode 100644 index f86ec37faa64c55d66527ccf95ddb3e559f7b642..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeoCoords.cpp +++ /dev/null @@ -1,243 +0,0 @@ -/** - * \file NETGeographicLib/GeoCoords.cpp - * \brief Implementation for NETGeographicLib::GeoCoords class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/GeoCoords.hpp" -#include "GeoCoords.h" -#include "UTMUPS.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::GeoCoords"; - -//***************************************************************************** -GeoCoords::!GeoCoords(void) -{ - if ( m_pGeoCoords != NULL ) - { - delete m_pGeoCoords; - m_pGeoCoords = NULL; - } -} - -//***************************************************************************** -GeoCoords::GeoCoords() -{ - try - { - m_pGeoCoords = new GeographicLib::GeoCoords(); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -GeoCoords::GeoCoords(System::String^ s, bool centerp, bool longfirst ) -{ - try - { - m_pGeoCoords = new GeographicLib::GeoCoords(StringConvert::ManagedToUnmanaged(s), centerp, longfirst); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -GeoCoords::GeoCoords(double latitude, double longitude, int zone ) -{ - try - { - m_pGeoCoords = new GeographicLib::GeoCoords(latitude, longitude, zone); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -GeoCoords::GeoCoords(int zone, bool northp, double easting, double northing) -{ - try - { - m_pGeoCoords = new GeographicLib::GeoCoords(zone, northp, easting, northing); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void GeoCoords::Reset( System::String^ s, bool centerp, bool longfirst ) -{ - try - { - m_pGeoCoords->Reset(StringConvert::ManagedToUnmanaged(s), centerp, longfirst); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void GeoCoords::Reset(double latitude, double longitude, int zone) -{ - try - { - m_pGeoCoords->Reset(latitude, longitude, zone); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void GeoCoords::Reset(int zone, bool northp, double easting, double northing) -{ - try - { - m_pGeoCoords->Reset(zone, northp, easting, northing); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void GeoCoords::AltZone::set( int zone ) -{ - try - { - m_pGeoCoords->SetAltZone(zone); - } - catch ( GeographicLib::GeographicErr err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -int GeoCoords::AltZone::get() { return m_pGeoCoords->AltZone(); } - -//***************************************************************************** -double GeoCoords::Latitude::get() { return m_pGeoCoords->Latitude(); } - -//***************************************************************************** -double GeoCoords::Longitude::get() { return m_pGeoCoords->Longitude(); } - -//***************************************************************************** -double GeoCoords::Easting::get() { return m_pGeoCoords->Easting(); } - -//***************************************************************************** -double GeoCoords::Northing::get() { return m_pGeoCoords->Northing(); } - -//***************************************************************************** -double GeoCoords::Convergence::get() { return m_pGeoCoords->Convergence(); } - -//***************************************************************************** -double GeoCoords::Scale::get() { return m_pGeoCoords->Scale(); } - -//***************************************************************************** -bool GeoCoords::Northp::get() { return m_pGeoCoords->Northp(); } - -//***************************************************************************** -char GeoCoords::Hemisphere::get() { return m_pGeoCoords->Hemisphere(); } - -//***************************************************************************** -int GeoCoords::Zone::get() { return m_pGeoCoords->Zone(); } - -//***************************************************************************** -double GeoCoords::AltEasting::get() { return m_pGeoCoords->AltEasting(); } - -//***************************************************************************** -double GeoCoords::AltNorthing::get() { return m_pGeoCoords->AltNorthing(); } - -//***************************************************************************** -double GeoCoords::AltConvergence::get() -{ return m_pGeoCoords->AltConvergence(); } - -//***************************************************************************** -double GeoCoords::AltScale::get() { return m_pGeoCoords->AltScale(); } - -//***************************************************************************** -double GeoCoords::EquatorialRadius::get() { return UTMUPS::EquatorialRadius(); } - -//***************************************************************************** -double GeoCoords::Flattening::get() { return UTMUPS::Flattening(); } - -//***************************************************************************** -System::String^ GeoCoords::GeoRepresentation(int prec, bool longfirst ) -{ - return gcnew System::String( m_pGeoCoords->GeoRepresentation(prec, longfirst).c_str() ); -} - -//***************************************************************************** -System::String^ GeoCoords::DMSRepresentation(int prec, bool longfirst, - char dmssep ) -{ - return gcnew System::String( m_pGeoCoords->DMSRepresentation(prec, longfirst, dmssep).c_str() ); -} - -//***************************************************************************** -System::String^ GeoCoords::MGRSRepresentation(int prec) -{ - return gcnew System::String( m_pGeoCoords->MGRSRepresentation(prec).c_str() ); -} - -//***************************************************************************** -System::String^ GeoCoords::UTMUPSRepresentation(int prec, bool abbrev) -{ - return gcnew System::String( m_pGeoCoords->UTMUPSRepresentation(prec, abbrev).c_str() ); -} - -//***************************************************************************** -System::String^ GeoCoords::UTMUPSRepresentation(bool northp, int prec, bool abbrev) -{ - return gcnew System::String( m_pGeoCoords->UTMUPSRepresentation(northp, prec, abbrev).c_str() ); -} - -//***************************************************************************** -System::String^ GeoCoords::AltMGRSRepresentation(int prec) -{ - return gcnew System::String( m_pGeoCoords->AltMGRSRepresentation(prec).c_str() ); -} - -//***************************************************************************** -System::String^ GeoCoords::AltUTMUPSRepresentation(int prec, bool abbrev) -{ - return gcnew System::String( m_pGeoCoords->AltUTMUPSRepresentation(prec, abbrev).c_str() ); -} - -//***************************************************************************** -System::String^ GeoCoords::AltUTMUPSRepresentation(bool northp, int prec, bool abbrev) -{ - return gcnew System::String( m_pGeoCoords->AltUTMUPSRepresentation(northp, prec, abbrev).c_str() ); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeoCoords.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeoCoords.h deleted file mode 100644 index 37726604883e58768a9a42e627323feb6291a190..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeoCoords.h +++ /dev/null @@ -1,476 +0,0 @@ -/** - * \file NETGeographicLib/GeoCoords.h - * \brief Header for NETGeographicLib::GeoCoords class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::GeoCoords. - * - * This class allows .NET applications to access GeographicLib::GeoCoords. - * - * This class stores a geographic position which may be set via the - * constructors or Reset via - * - latitude and longitude - * - UTM or UPS coordinates - * - a string representation of these or an MGRS coordinate string - * - * The state consists of the latitude and longitude and the supplied UTM or - * UPS coordinates (possibly derived from the MGRS coordinates). If latitude - * and longitude were given then the UTM/UPS coordinates follows the standard - * conventions. - * - * The mutable state consists of the UTM or UPS coordinates for a alternate - * zone. A method SetAltZone is provided to set the alternate UPS/UTM zone. - * - * Methods are provided to return the geographic coordinates, the input UTM - * or UPS coordinates (and associated meridian convergence and scale), or - * alternate UTM or UPS coordinates (and their associated meridian - * convergence and scale). - * - * Once the input string has been parsed, you can print the result out in any - * of the formats, decimal degrees, degrees minutes seconds, MGRS, UTM/UPS. - * - * C# Example: - * \include example-GeoCoords.cs - * Managed C++ Example: - * \include example-GeoCoords.cpp - * Visual Basic Example: - * \include example-GeoCoords.vb - * - * INTERFACE DIFFERENCES:
- * The following functions are implemented as properties: EquatorialRadius, - * Flattening, Latitude, Longitude, Easting, Northing, Convergence, - * Scale, Northp, Hemisphere, Zone, AltZone, AltEasting, AltNorthing, - * AltConvergence, and AltScale. - **********************************************************************/ - public ref class GeoCoords - { - private: - // pointer to the unmanaged GeographicLib::GeoCoords - GeographicLib::GeoCoords* m_pGeoCoords; - - // The finalizer frees unmanaged memory when the object is destroyed. - !GeoCoords(); - public: - /** \name Initializing the GeoCoords object - **********************************************************************/ - ///@{ - /** - * The default constructor sets the coordinate as undefined. - **********************************************************************/ - GeoCoords(); - - /** - * Construct from a string. - * - * @param[in] s 1-element, 2-element, or 3-element string representation of - * the position. - * @param[in] centerp governs the interpretation of MGRS coordinates (see - * below). - * @param[in] longfirst governs the interpretation of geographic - * coordinates (see below). - * @exception GeographicErr if the \e s is malformed (see below). - * - * Parse as a string and interpret it as a geographic position. The input - * string is broken into space (or comma) separated pieces and Basic - * decision on which format is based on number of components - * -# MGRS - * -# "Lat Long" or "Long Lat" - * -# "Zone Easting Northing" or "Easting Northing Zone" - * - * The following inputs are approximately the same (Ar Ramadi Bridge, Iraq) - * - Latitude and Longitude - * - 33.44 43.27 - * - N33d26.4' E43d16.2' - * - 43d16'12"E 33d26'24"N - * - 43:16:12E 33:26:24 - * - MGRS - * - 38SLC30 - * - 38SLC391014 - * - 38SLC3918701405 - * - 37SHT9708 - * - UTM - * - 38N 339188 3701405 - * - 897039 3708229 37N - * - * Latitude and Longitude parsing: Latitude precedes longitude, - * unless a N, S, E, W hemisphere designator is used on one or both - * coordinates. If \e longfirst = true (default is false), then - * longitude precedes latitude in the absence of a hemisphere designator. - * Thus (with \e longfirst = false) - * - 40 -75 - * - N40 W75 - * - -75 N40 - * - 75W 40N - * - E-75 -40S - * . - * are all the same position. The coordinates may be given in - * decimal degrees, degrees and decimal minutes, degrees, minutes, - * seconds, etc. Use d, ', and " to mark off the degrees, - * minutes and seconds. Various alternative symbols for degrees, minutes, - * and seconds are allowed. Alternatively, use : to separate these - * components. (See DMS::Decode for details.) Thus - * - 40d30'30" - * - 40d30'30 - * - 40°30'30 - * - 40d30.5' - * - 40d30.5 - * - 40:30:30 - * - 40:30.5 - * - 40.508333333 - * . - * all specify the same angle. The leading sign applies to all - * components so -1d30 is -(1+30/60) = -1.5. Latitudes must be in the - * range [−90°, 90°]. Internally longitudes are reduced - * to the range [−180°, 180°). - * - * UTM/UPS parsing: For UTM zones (−80° ≤ Lat < - * 84°), the zone designator is made up of a zone number (for 1 to 60) - * and a hemisphere letter (N or S), e.g., 38N. The latitude zone designer - * ([C--M] in the southern hemisphere and [N--X] in the northern) should - * NOT be used. (This is part of the MGRS coordinate.) The zone - * designator for the poles (where UPS is employed) is a hemisphere letter - * by itself, i.e., N or S. - * - * MGRS parsing interprets the grid references as square area at the - * specified precision (1m, 10m, 100m, etc.). If \e centerp = true (the - * default), the center of this square is then taken to be the precise - * position; thus: - * - 38SMB = 38N 450000 3650000 - * - 38SMB4484 = 38N 444500 3684500 - * - 38SMB44148470 = 38N 444145 3684705 - * . - * Otherwise, the "south-west" corner of the square is used, i.e., - * - 38SMB = 38N 400000 3600000 - * - 38SMB4484 = 38N 444000 3684000 - * - 38SMB44148470 = 38N 444140 3684700 - **********************************************************************/ - GeoCoords(System::String^ s, bool centerp, bool longfirst ); - - /** - * Construct from geographic coordinates. - * - * @param[in] latitude (degrees). - * @param[in] longitude (degrees). - * @param[in] zone if specified, force the UTM/UPS representation to use a - * specified zone using the rules given in UTMUPS::zonespec. - * @exception GeographicErr if \e latitude is not in [−90°, - * 90°]. - * @exception GeographicErr if \e zone cannot be used for this location. - **********************************************************************/ - GeoCoords(double latitude, double longitude, int zone ); - - /** - * Construct from UTM/UPS coordinates. - * - * @param[in] zone UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] easting (meters). - * @param[in] northing (meters). - * @exception GeographicErr if \e zone, \e easting, or \e northing is - * outside its allowed range. - **********************************************************************/ - GeoCoords(int zone, bool northp, double easting, double northing); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~GeoCoords() { this->!GeoCoords(); } - - /** - * Reset the location from a string. See - * GeoCoords(const std::string& s, bool centerp, bool longfirst). - * - * @param[in] s 1-element, 2-element, or 3-element string representation of - * the position. - * @param[in] centerp governs the interpretation of MGRS coordinates. - * @param[in] longfirst governs the interpretation of geographic - * coordinates. - * @exception GeographicErr if the \e s is malformed. - **********************************************************************/ - void Reset( System::String^ s, bool centerp, bool longfirst); - - /** - * Reset the location in terms of geographic coordinates. See - * GeoCoords(double latitude, double longitude, int zone). - * - * @param[in] latitude (degrees). - * @param[in] longitude (degrees). - * @param[in] zone if specified, force the UTM/UPS representation to use a - * specified zone using the rules given in UTMUPS::zonespec. - * @exception GeographicErr if \e latitude is not in [−90°, - * 90°]. - * @exception GeographicErr if \e zone cannot be used for this location. - **********************************************************************/ - void Reset(double latitude, double longitude, int zone ) ; - - /** - * Reset the location in terms of UPS/UPS coordinates. See - * GeoCoords(int zone, bool northp, double easting, double northing). - * - * @param[in] zone UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] easting (meters). - * @param[in] northing (meters). - * @exception GeographicErr if \e zone, \e easting, or \e northing is - * outside its allowed range. - **********************************************************************/ - void Reset(int zone, bool northp, double easting, double northing); - ///@} - - /** \name Querying the GeoCoords object - **********************************************************************/ - ///@{ - /** - * @return latitude (degrees) - **********************************************************************/ - property double Latitude { double get(); } - - /** - * @return longitude (degrees) - **********************************************************************/ - property double Longitude { double get(); } - - /** - * @return easting (meters) - **********************************************************************/ - property double Easting { double get(); } - - /** - * @return northing (meters) - **********************************************************************/ - property double Northing { double get(); } - - /** - * @return meridian convergence (degrees) for the UTM/UPS projection. - **********************************************************************/ - property double Convergence { double get(); } - - /** - * @return scale for the UTM/UPS projection. - **********************************************************************/ - property double Scale { double get(); } - - /** - * @return hemisphere (false means south, true means north). - **********************************************************************/ - property bool Northp { bool get(); } - - /** - * @return hemisphere letter N or S. - **********************************************************************/ - property char Hemisphere { char get(); } - - /** - * @return the zone corresponding to the input (return 0 for UPS). - **********************************************************************/ - property int Zone { int get(); } - - /** - * Gets/Sets the current alternate zone (0 = UPS). - * @exception GeographicErr if \e zone cannot be used for this location. - * - * See UTMUPS::zonespec for more information on the interpretation of \e - * zone. Note that \e zone == UTMUPS::STANDARD (the default) use the - * standard UPS or UTM zone, UTMUPS::MATCH does nothing retaining the - * existing alternate representation. Before this is called the alternate - * zone is the input zone. - **********************************************************************/ - property int AltZone - { - int get(); - void set( int zone ); - } - ///@} - - /** - * @return easting (meters) for alternate zone. - **********************************************************************/ - property double AltEasting { double get(); } - - /** - * @return northing (meters) for alternate zone. - **********************************************************************/ - property double AltNorthing { double get(); } - - /** - * @return meridian convergence (degrees) for alternate zone. - **********************************************************************/ - property double AltConvergence { double get(); } - - /** - * @return scale for alternate zone. - **********************************************************************/ - property double AltScale { double get(); } - ///@} - - /** \name String representations of the GeoCoords object - **********************************************************************/ - ///@{ - /** - * String representation with latitude and longitude as signed decimal - * degrees. - * - * @param[in] prec precision (relative to about 1m). - * @param[in] longfirst if true give longitude first (default = false) - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return decimal latitude/longitude string representation. - * - * Precision specifies accuracy of representation as follows: - * - prec = −5 (min), 1° - * - prec = 0, 10−5° (about 1m) - * - prec = 3, 10−8° - * - prec = 9 (max), 10−14° - **********************************************************************/ - System::String^ GeoRepresentation(int prec, bool longfirst ); - - /** - * String representation with latitude and longitude as degrees, minutes, - * seconds, and hemisphere. - * - * @param[in] prec precision (relative to about 1m) - * @param[in] longfirst if true give longitude first (default = false) - * @param[in] dmssep if non-null, use as the DMS separator character - * (instead of d, ', " delimiters). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return DMS latitude/longitude string representation. - * - * Precision specifies accuracy of representation as follows: - * - prec = −5 (min), 1° - * - prec = −4, 0.1° - * - prec = −3, 1' - * - prec = −2, 0.1' - * - prec = −1, 1" - * - prec = 0, 0.1" (about 3m) - * - prec = 1, 0.01" - * - prec = 10 (max), 10−11" - **********************************************************************/ - System::String^ DMSRepresentation(int prec, bool longfirst, - char dmssep ); - - /** - * MGRS string. - * - * @param[in] prec precision (relative to about 1m). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return MGRS string. - * - * This gives the coordinates of the enclosing grid square with size given - * by the precision. Thus 38N 444180 3684790 converted to a MGRS - * coordinate at precision −2 (100m) is 38SMB441847 and not - * 38SMB442848. \e prec specifies the precision of the MGRS string as - * follows: - * - prec = −5 (min), 100km - * - prec = −4, 10km - * - prec = −3, 1km - * - prec = −2, 100m - * - prec = −1, 10m - * - prec = 0, 1m - * - prec = 1, 0.1m - * - prec = 6 (max), 1μm - **********************************************************************/ - System::String^ MGRSRepresentation(int prec); - - /** - * UTM/UPS string. - * - * @param[in] prec precision (relative to about 1m) - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return UTM/UPS string representation: zone designator, easting, and - * northing. - * - * Precision specifies accuracy of representation as follows: - * - prec = −5 (min), 100km - * - prec = −3, 1km - * - prec = 0, 1m - * - prec = 3, 1mm - * - prec = 6, 1μm - * - prec = 9 (max), 1nm - **********************************************************************/ - System::String^ UTMUPSRepresentation(int prec, bool abbrev); - - /** - * UTM/UPS string with hemisphere override. - * - * @param[in] northp hemisphere override - * @param[in] prec precision (relative to about 1m) - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception GeographicErr if the hemisphere override attempts to change - * UPS N to UPS S or vice versa. - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return UTM/UPS string representation: zone designator, easting, and - * northing. - **********************************************************************/ - System::String^ UTMUPSRepresentation(bool northp, int prec, bool abbrev); - - /** - * MGRS string for the alternate zone. See GeoCoords::MGRSRepresentation. - * - * @param[in] prec precision (relative to about 1m). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return MGRS string. - **********************************************************************/ - System::String^ AltMGRSRepresentation(int prec); - - /** - * UTM/UPS string for the alternate zone. See - * GeoCoords::UTMUPSRepresentation. - * - * @param[in] prec precision (relative to about 1m) - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return UTM/UPS string representation: zone designator, easting, and - * northing. - **********************************************************************/ - System::String^ AltUTMUPSRepresentation(int prec, bool abbrev); - - /** - * UTM/UPS string for the alternate zone, with hemisphere override. - * - * @param[in] northp hemisphere override - * @param[in] prec precision (relative to about 1m) - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception GeographicErr if the hemisphere override attempts to change - * UPS n to UPS s or vice verse. - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return UTM/UPS string representation: zone designator, easting, and - * northing. - **********************************************************************/ - System::String^ AltUTMUPSRepresentation(bool northp, int prec, bool abbrev); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the WGS84 ellipsoid (meters). - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the WGS84 ellipsoid. - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - property double Flattening { double get(); } - ///@} - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geocentric.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geocentric.cpp deleted file mode 100644 index 3771a12001790e30099d271e678882e4f9cc78be..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geocentric.cpp +++ /dev/null @@ -1,151 +0,0 @@ -/** - * \file NETGeographicLib/Geocentric.cpp - * \brief Implementation for NETGeographicLib::Geocentric class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Geocentric.hpp" -#include "Geocentric.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Unable to allocate memory for a GeographicLib::Geocentric"; - -//***************************************************************************** -Geocentric::!Geocentric() -{ - if ( m_pGeocentric != NULL ) - { - delete m_pGeocentric; - m_pGeocentric = NULL; - } -} - -//***************************************************************************** -Geocentric::Geocentric(void) -{ - try - { - m_pGeocentric = new GeographicLib::Geocentric( - GeographicLib::Geocentric::WGS84() ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -Geocentric::Geocentric(double a, double f) -{ - try - { - m_pGeocentric = new GeographicLib::Geocentric( a, f ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch (std::exception err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -Geocentric::Geocentric( const GeographicLib::Geocentric& g ) -{ - try - { - m_pGeocentric = new GeographicLib::Geocentric( g ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void Geocentric::Forward(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% X, - [System::Runtime::InteropServices::Out] double% Y, - [System::Runtime::InteropServices::Out] double% Z) -{ - double lX, lY, lZ; - m_pGeocentric->Forward( lat, lon, h, lX, lY, lZ); - X = lX; - Y = lY; - Z = lZ; -} - -//***************************************************************************** -void Geocentric::Forward(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% X, - [System::Runtime::InteropServices::Out] double% Y, - [System::Runtime::InteropServices::Out] double% Z, - [System::Runtime::InteropServices::Out] array^% M) -{ - double lX, lY, lZ; - std::vector lM(9); - m_pGeocentric->Forward( lat, lon, h, lX, lY, lZ, lM); - X = lX; - Y = lY; - Z = lZ; - M = gcnew array( 3, 3 ); - for ( int i = 0; i < 3; i++ ) - for ( int j = 0; j < 3; j++ ) - M[i,j] = lM[3*i+j]; -} - -//***************************************************************************** -void Geocentric::Reverse(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% h) -{ - double llat, llon, lh; - m_pGeocentric->Reverse(X, Y, Z, llat, llon, lh); - lat = llat; - lon = llon; - h = lh; -} - -//***************************************************************************** -void Geocentric::Reverse(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% h, - [System::Runtime::InteropServices::Out] array^% M) -{ - std::vector lM(9); - double llat, llon, lh; - m_pGeocentric->Reverse(X, Y, Z, llat, llon, lh, lM); - lat = llat; - lon = llon; - h = lh; - M = gcnew array( 3, 3 ); - for ( int i = 0; i < 3; i++ ) - for ( int j = 0; j < 3; j++ ) - M[i,j] = lM[3*i+j]; -} - -//***************************************************************************** -System::IntPtr^ Geocentric::GetUnmanaged() -{ - return gcnew System::IntPtr( const_cast( - reinterpret_cast(m_pGeocentric) ) ); -} - -//***************************************************************************** -double Geocentric::EquatorialRadius::get() -{ return m_pGeocentric->EquatorialRadius(); } - -//***************************************************************************** -double Geocentric::Flattening::get() -{ return m_pGeocentric->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geocentric.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geocentric.h deleted file mode 100644 index 3132a5e4dd891bff54fce0d30a77002400849508..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geocentric.h +++ /dev/null @@ -1,225 +0,0 @@ -/** - * \file NETGeographicLib/Geocentric.h - * \brief Header for NETGeographicLib::Geocentric class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::Geocentric. - * - * This class allows .NET applications to access GeographicLib::Geocentric. - * - * Convert between geodetic coordinates latitude = \e lat, longitude = \e - * lon, height = \e h (measured vertically from the surface of the ellipsoid) - * to geocentric coordinates (\e X, \e Y, \e Z). The origin of geocentric - * coordinates is at the center of the earth. The \e Z axis goes thru the - * north pole, \e lat = 90°. The \e X axis goes thru \e lat = 0, - * \e lon = 0. %Geocentric coordinates are also known as earth centered, - * earth fixed (ECEF) coordinates. - * - * The conversion from geographic to geocentric coordinates is - * straightforward. For the reverse transformation we use - * - H. Vermeille, - * Direct - * transformation from geocentric coordinates to geodetic coordinates, - * J. Geodesy 76, 451--454 (2002). - * . - * Several changes have been made to ensure that the method returns accurate - * results for all finite inputs (even if \e h is infinite). The changes are - * described in Appendix B of - * - C. F. F. Karney, - * Geodesics - * on an ellipsoid of revolution, - * Feb. 2011; - * preprint - * arxiv:1102.1215v1. - * . - * See \ref geocentric for more information. - * - * The errors in these routines are close to round-off. Specifically, for - * points within 5000 km of the surface of the ellipsoid (either inside or - * outside the ellipsoid), the error is bounded by 7 nm (7 nanometers) for - * the WGS84 ellipsoid. See \ref geocentric for further information on the - * errors. - * - * C# Example: - * \include example-Geocentric.cs - * Managed C++ Example: - * \include example-Geocentric.cpp - * Visual Basic Example: - * \include example-Geocentric.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor is provided that assumes WGS84 parameters. - * - * The EquatorialRadius and Flattening functions are implemented as properties. - * - * The Forward and Reverse functions return rotation matrices as 2D, - * 3 × 3 arrays rather than vectors. - **********************************************************************/ - public ref class Geocentric - { - private: - // pointer to the unmanaged GeographicLib::Geocentric - const GeographicLib::Geocentric* m_pGeocentric; - - // The finalizer frees unmanaged memory when the object is destroyed. - !Geocentric(); - public: - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @exception GeographicErr if \e a or (1 − \e f ) \e a is not - * positive. - **********************************************************************/ - Geocentric(double a, double f); - - /** - * A default constructor which assumes WGS84. - **********************************************************************/ - Geocentric(); - - /** - * A constructor that is initialized from an unmanaged - * GeographicLib::Geocentric. For internal use only. - * @param[in] g An existing GeographicLib::Geocentric. - **********************************************************************/ - Geocentric( const GeographicLib::Geocentric& g ); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~Geocentric() - { this->!Geocentric(); } - - /** - * Convert from geodetic to geocentric coordinates. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] h height of point above the ellipsoid (meters). - * @param[out] X geocentric coordinate (meters). - * @param[out] Y geocentric coordinate (meters). - * @param[out] Z geocentric coordinate (meters). - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - void Forward(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% X, - [System::Runtime::InteropServices::Out] double% Y, - [System::Runtime::InteropServices::Out] double% Z); - - /** - * Convert from geodetic to geocentric coordinates and return rotation - * matrix. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] h height of point above the ellipsoid (meters). - * @param[out] X geocentric coordinate (meters). - * @param[out] Y geocentric coordinate (meters). - * @param[out] Z geocentric coordinate (meters). - * @param[out] M a 3 × 3 rotation matrix. - * - * Let \e v be a unit vector located at (\e lat, \e lon, \e h). We can - * express \e v as \e column vectors in one of two ways - * - in east, north, up coordinates (where the components are relative to a - * local coordinate system at (\e lat, \e lon, \e h)); call this - * representation \e v1. - * - in geocentric \e X, \e Y, \e Z coordinates; call this representation - * \e v0. - * . - * Then we have \e v0 = \e M ⋅ \e v1. - **********************************************************************/ - void Forward(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% X, - [System::Runtime::InteropServices::Out] double% Y, - [System::Runtime::InteropServices::Out] double% Z, - [System::Runtime::InteropServices::Out] array^% M); - - /** - * Convert from geocentric to geodetic to coordinates. - * - * @param[in] X geocentric coordinate (meters). - * @param[in] Y geocentric coordinate (meters). - * @param[in] Z geocentric coordinate (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] h height of point above the ellipsoid (meters). - * - * In general there are multiple solutions and the result which maximizes - * \e h is returned. If there are still multiple solutions with different - * latitudes (applies only if \e Z = 0), then the solution with \e lat > 0 - * is returned. If there are still multiple solutions with different - * longitudes (applies only if \e X = \e Y = 0) then \e lon = 0 is - * returned. The value of \e h returned satisfies \e h ≥ − \e a - * (1 − e2) / sqrt(1 − e2 - * sin2\e lat). The value of \e lon returned is in the range - * [−180°, 180°). - **********************************************************************/ - void Reverse(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% h); - - /** - * Convert from geocentric to geodetic to coordinates. - * - * @param[in] X geocentric coordinate (meters). - * @param[in] Y geocentric coordinate (meters). - * @param[in] Z geocentric coordinate (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] h height of point above the ellipsoid (meters). - * @param[out] M a 3 × 3 rotation matrix. - * - * Let \e v be a unit vector located at (\e lat, \e lon, \e h). We can - * express \e v as \e column vectors in one of two ways - * - in east, north, up coordinates (where the components are relative to a - * local coordinate system at (\e lat, \e lon, \e h)); call this - * representation \e v1. - * - in geocentric \e X, \e Y, \e Z coordinates; call this representation - * \e v0. - * . - * Then we have \e v1 = \e MT ⋅ \e v0, where \e - * MT is the transpose of \e M. - **********************************************************************/ - void Reverse(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% h, - [System::Runtime::InteropServices::Out] array^% M); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return a pointer to the unmanaged GeographicLib::Geocentric. - **********************************************************************/ - System::IntPtr^ GetUnmanaged(); - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geodesic.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geodesic.cpp deleted file mode 100644 index cc37ebe9302801289fa817f69e969e7979537a8d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geodesic.cpp +++ /dev/null @@ -1,516 +0,0 @@ -/** - * \file NETGeographicLib/Geodesic.cpp - * \brief Implementation for NETGeographicLib::Geodesic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include -#include -#include "Geodesic.h" -#include "GeodesicLine.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::Geodesic"; - -//***************************************************************************** -Geodesic::!Geodesic() -{ - if ( m_pGeodesic != NULL ) - { - delete m_pGeodesic; - m_pGeodesic = NULL; - } -} - -//***************************************************************************** -Geodesic::Geodesic(double a, double f) -{ - try - { - m_pGeodesic = new GeographicLib::Geodesic( a, f ); - } - catch ( std::bad_alloc err ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( GeographicLib::GeographicErr err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -Geodesic::Geodesic() -{ - try - { - m_pGeodesic = new GeographicLib::Geodesic( GeographicLib::Geodesic::WGS84() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -double Geodesic::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21, lS12; - double out = m_pGeodesic->Direct(lat1, lon1, azi1, s12, - llat2, llon2, lazi2, lm12, lM12, lM21, lS12); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double Geodesic::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double llat2, llon2; - double out = m_pGeodesic->Direct(lat1, lon1, azi1, s12, - llat2, llon2 ); - lat2 = llat2; - lon2 = llon2; - return out; -} - -//***************************************************************************** -double Geodesic::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double llat2, llon2, lazi2; - double out = m_pGeodesic->Direct(lat1, lon1, azi1, s12, - llat2, llon2, lazi2 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - return out; -} - -//***************************************************************************** -double Geodesic::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12) -{ - double llat2, llon2, lazi2, lm12; - double out = m_pGeodesic->Direct(lat1, lon1, azi1, s12, - llat2, llon2, lazi2, lm12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - return out; -} - -//***************************************************************************** -double Geodesic::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, lM12, lM21; - double out = m_pGeodesic->Direct(lat1, lon1, azi1, s12, - llat2, llon2, lazi2, lM12, lM21); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -double Geodesic::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21; - double out = m_pGeodesic->Direct(lat1, lon1, azi1, s12, - llat2, llon2, lazi2, lm12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -void Geodesic::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12; - m_pGeodesic->ArcDirect(lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; -} - -//***************************************************************************** -void Geodesic::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double llat2, llon2; - m_pGeodesic->ArcDirect(lat1, lon1, azi1, a12, llat2, llon2 ); - lat2 = llat2; - lon2 = llon2; -} - -//***************************************************************************** -void Geodesic::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double llat2, llon2, lazi2; - m_pGeodesic->ArcDirect(lat1, lon1, azi1, a12, llat2, llon2, lazi2 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; -} - -//***************************************************************************** -void Geodesic::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12) -{ - double llat2, llon2, lazi2, ls12; - m_pGeodesic->ArcDirect(lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; -} - -//***************************************************************************** -void Geodesic::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12) -{ - double llat2, llon2, lazi2, ls12, lm12; - m_pGeodesic->ArcDirect(lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12, lm12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; -} - -//***************************************************************************** -void Geodesic::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, ls12, lM12, lM21; - m_pGeodesic->ArcDirect(lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - M12 = lM12; - M21 = lM21; -} - -//***************************************************************************** -void Geodesic::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21; - m_pGeodesic->ArcDirect(lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12, lm12, lM12, lM21); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - s12 = ls12; - M12 = lM12; - M21 = lM21; -} - -//***************************************************************************** -double Geodesic::GenDirect(double lat1, double lon1, double azi1, - bool arcmode, double s12_a12, - Geodesic::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21, ls12, lS12; - double out = m_pGeodesic->GenDirect(lat1, lon1, azi1, arcmode, s12_a12, - static_cast(outmask), - llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - s12 = ls12; - S12 = lS12; - return out; -} - -//***************************************************************************** -double Geodesic::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double ls12, lazi1, lazi2, lm12, lM12, lM21, lS12; - double out = m_pGeodesic->Inverse(lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2, lm12, lM12, lM21, lS12); - s12 = ls12; - azi1 = lazi1; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double Geodesic::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12) -{ - double ls12; - double out = m_pGeodesic->Inverse(lat1, lon1, lat2, lon2, ls12 ); - s12 = ls12; - return out; -} - -//***************************************************************************** -double Geodesic::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double lazi1, lazi2; - double out = m_pGeodesic->Inverse(lat1, lon1, lat2, lon2, lazi1, lazi2); - azi1 = lazi1; - azi2 = lazi2; - return out; -} - -//***************************************************************************** -double Geodesic::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double ls12, lazi1, lazi2; - double out = m_pGeodesic->Inverse(lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2 ); - azi1 = lazi1; - azi2 = lazi2; - s12 = ls12; - return out; -} - -//***************************************************************************** -double Geodesic::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12) -{ - double ls12, lazi1, lazi2, lm12; - double out = m_pGeodesic->Inverse(lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2, lm12 ); - azi1 = lazi1; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - return out; -} - -//***************************************************************************** -double Geodesic::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double ls12, lazi1, lazi2, lM12, lM21; - double out = m_pGeodesic->Inverse(lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2, lM12, lM21 ); - azi1 = lazi1; - azi2 = lazi2; - s12 = ls12; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -double Geodesic::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double ls12, lazi1, lazi2, lm12, lM12, lM21; - double out = m_pGeodesic->Inverse(lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2, lm12, lM12, lM21 ); - azi1 = lazi1; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -double Geodesic::GenInverse(double lat1, double lon1, double lat2, double lon2, - Geodesic::mask outmask, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double ls12, lazi1, lazi2, lm12, lM12, lM21, lS12; - double out = m_pGeodesic->GenInverse(lat1, lon1, lat2, lon2, - static_cast(outmask), - ls12, lazi1, lazi2, lm12, lM12, lM21, lS12); - azi1 = lazi1; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -System::IntPtr^ Geodesic::GetUnmanaged() -{ - return gcnew System::IntPtr( const_cast(reinterpret_cast(m_pGeodesic)) ); -} - -//***************************************************************************** -GeodesicLine^ Geodesic::Line(double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps ) -{ - return gcnew GeodesicLine( this, lat1, lon1, azi1, caps ); -} - -//***************************************************************************** -GeodesicLine^ Geodesic::InverseLine(double lat1, double lon1, double lat2, - double lon2, NETGeographicLib::Mask caps) -{ - return gcnew GeodesicLine(m_pGeodesic->InverseLine(lat1, lon1, lat2, - lon2, static_cast(caps))); -} - -//***************************************************************************** -GeodesicLine^ Geodesic::DirectLine(double lat1, double lon1, double azi1, - double s12, NETGeographicLib::Mask caps) -{ - return gcnew GeodesicLine(m_pGeodesic->DirectLine(lat1, lon1, azi1, - s12, static_cast(caps))); -} - -//***************************************************************************** -GeodesicLine^ Geodesic::ArcDirectLine(double lat1, double lon1, double azi1, - double a12, NETGeographicLib::Mask caps) -{ - return gcnew GeodesicLine(m_pGeodesic->ArcDirectLine(lat1, lon1, azi1, - a12, static_cast(caps))); -} - -//***************************************************************************** -GeodesicLine^ Geodesic::GenDirectLine(double lat1, double lon1, double azi1, - bool arcmode, double s12_a12, NETGeographicLib::Mask caps) -{ - return gcnew GeodesicLine(m_pGeodesic->GenDirectLine(lat1, lon1, azi1, - arcmode, s12_a12, static_cast(caps))); -} - -//***************************************************************************** -double Geodesic::EquatorialRadius::get() { return m_pGeodesic->EquatorialRadius(); } - -//***************************************************************************** -double Geodesic::Flattening::get() { return m_pGeodesic->Flattening(); } - -//***************************************************************************** -double Geodesic::EllipsoidArea::get() { return m_pGeodesic->EllipsoidArea(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geodesic.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geodesic.h deleted file mode 100644 index 8470a7ba8207fdba51205bb8f9f069853efaca8f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geodesic.h +++ /dev/null @@ -1,854 +0,0 @@ -/** - * \file NETGeographicLib/Geodesic.h - * \brief Header for NETGeographicLib::Geodesic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once -#include "NETGeographicLib.h" - -namespace NETGeographicLib -{ - ref class GeodesicLine; - /** - * \brief .NET wrapper for GeographicLib::Geodesic. - * - * This class allows .NET applications to access GeographicLib::Geodesic. - * - * The shortest path between two points on a ellipsoid at (\e lat1, \e lon1) - * and (\e lat2, \e lon2) is called the geodesic. Its length is \e s12 and - * the geodesic from point 1 to point 2 has azimuths \e azi1 and \e azi2 at - * the two end points. (The azimuth is the heading measured clockwise from - * north. \e azi2 is the "forward" azimuth, i.e., the heading that takes you - * beyond point 2 not back to point 1.) In the figure below, latitude if - * labeled φ, longitude λ (with λ12 = - * λ2 − λ1), and azimuth α. - * - * spheroidal triangle - * - * Given \e lat1, \e lon1, \e azi1, and \e s12, we can determine \e lat2, \e - * lon2, and \e azi2. This is the \e direct geodesic problem and its - * solution is given by the function Geodesic::Direct. (If \e s12 is - * sufficiently large that the geodesic wraps more than halfway around the - * earth, there will be another geodesic between the points with a smaller \e - * s12.) - * - * Given \e lat1, \e lon1, \e lat2, and \e lon2, we can determine \e azi1, \e - * azi2, and \e s12. This is the \e inverse geodesic problem, whose solution - * is given by Geodesic::Inverse. Usually, the solution to the inverse - * problem is unique. In cases where there are multiple solutions (all with - * the same \e s12, of course), all the solutions can be easily generated - * once a particular solution is provided. - * - * The standard way of specifying the direct problem is the specify the - * distance \e s12 to the second point. However it is sometimes useful - * instead to specify the arc length \e a12 (in degrees) on the auxiliary - * sphere. This is a mathematical construct used in solving the geodesic - * problems. The solution of the direct problem in this form is provided by - * Geodesic::ArcDirect. An arc length in excess of 180° indicates that - * the geodesic is not a shortest path. In addition, the arc length between - * an equatorial crossing and the next extremum of latitude for a geodesic is - * 90°. - * - * This class can also calculate several other quantities related to - * geodesics. These are: - * - reduced length. If we fix the first point and increase \e azi1 - * by \e dazi1 (radians), the second point is displaced \e m12 \e dazi1 in - * the direction \e azi2 + 90°. The quantity \e m12 is called - * the "reduced length" and is symmetric under interchange of the two - * points. On a curved surface the reduced length obeys a symmetry - * relation, \e m12 + \e m21 = 0. On a flat surface, we have \e m12 = \e - * s12. The ratio s12/\e m12 gives the azimuthal scale for an - * azimuthal equidistant projection. - * - geodesic scale. Consider a reference geodesic and a second - * geodesic parallel to this one at point 1 and separated by a small - * distance \e dt. The separation of the two geodesics at point 2 is \e - * M12 \e dt where \e M12 is called the "geodesic scale". \e M21 is - * defined similarly (with the geodesics being parallel at point 2). On a - * flat surface, we have \e M12 = \e M21 = 1. The quantity 1/\e M12 gives - * the scale of the Cassini-Soldner projection. - * - area. The area between the geodesic from point 1 to point 2 and - * the equation is represented by \e S12; it is the area, measured - * counter-clockwise, of the geodesic quadrilateral with corners - * (lat1,lon1), (0,lon1), (0,lon2), and - * (lat2,lon2). It can be used to compute the area of any - * geodesic polygon. - * - * Overloaded versions of Geodesic::Direct, Geodesic::ArcDirect, and - * Geodesic::Inverse allow these quantities to be returned. In addition - * there are general functions Geodesic::GenDirect, and Geodesic::GenInverse - * which allow an arbitrary set of results to be computed. The quantities \e - * m12, \e M12, \e M21 which all specify the behavior of nearby geodesics - * obey addition rules. If points 1, 2, and 3 all lie on a single geodesic, - * then the following rules hold: - * - \e s13 = \e s12 + \e s23 - * - \e a13 = \e a12 + \e a23 - * - \e S13 = \e S12 + \e S23 - * - \e m13 = \e m12 \e M23 + \e m23 \e M21 - * - \e M13 = \e M12 \e M23 − (1 − \e M12 \e M21) \e m23 / \e m12 - * - \e M31 = \e M32 \e M21 − (1 − \e M23 \e M32) \e m12 / \e m23 - * - * Additional functionality is provided by the GeodesicLine class, which - * allows a sequence of points along a geodesic to be computed. - * - * The shortest distance returned by the solution of the inverse problem is - * (obviously) uniquely defined. However, in a few special cases there are - * multiple azimuths which yield the same shortest distance. Here is a - * catalog of those cases: - * - \e lat1 = −\e lat2 (with neither point at a pole). If \e azi1 = - * \e azi2, the geodesic is unique. Otherwise there are two geodesics and - * the second one is obtained by setting [\e azi1, \e azi2] → [\e - * azi2, \e azi1], [\e M12, \e M21] → [\e M21, \e M12], \e S12 → - * −\e S12. (This occurs when the longitude difference is near - * ±180° for oblate ellipsoids.) - * - \e lon2 = \e lon1 ± 180° (with neither point at a pole). If - * \e azi1 = 0° or ±180°, the geodesic is unique. Otherwise - * there are two geodesics and the second one is obtained by setting [\e - * azi1, \e azi2] → [−\e azi1, −\e azi2], \e S12 → - * −\e S12. (This occurs when \e lat2 is near −\e lat1 for - * prolate ellipsoids.) - * - Points 1 and 2 at opposite poles. There are infinitely many geodesics - * which can be generated by setting [\e azi1, \e azi2] → [\e azi1, \e - * azi2] + [\e d, −\e d], for arbitrary \e d. (For spheres, this - * prescription applies when points 1 and 2 are antipodal.) - * - \e s12 = 0 (coincident points). There are infinitely many geodesics - * which can be generated by setting [\e azi1, \e azi2] → - * [\e azi1, \e azi2] + [\e d, \e d], for arbitrary \e d. - * - * The calculations are accurate to better than 15 nm (15 nanometers) for the - * WGS84 ellipsoid. See Sec. 9 of - * arXiv:1102.1215v1 for - * details. The algorithms used by this class are based on series expansions - * using the flattening \e f as a small parameter. These are only accurate - * for |f| < 0.02; however reasonably accurate results will be - * obtained for |f| < 0.2. Here is a table of the approximate - * maximum error (expressed as a distance) for an ellipsoid with the same - * equatorial radius as the WGS84 ellipsoid and different values of the - * flattening.
-   *     |f|      error
-   *     0.01     25 nm
-   *     0.02     30 nm
-   *     0.05     10 um
-   *     0.1     1.5 mm
-   *     0.2     300 mm
-   *
- * For very eccentric ellipsoids, use GeodesicExact instead. - * - * The algorithms are described in - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * geod-addenda.html. - * . - * For more information on geodesics see \ref geodesic. - * - * C# Example: - * \include example-Geodesic.cs - * Managed C++ Example: - * \include example-Geodesic.cpp - * Visual Basic Example: - * \include example-Geodesic.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor has been provided that assumes WGS84 parameters. - * - * The EquatorialRadius, Flattening, and EllipsoidArea functions are - * implemented as properties. - * - * The GenDirect, GenInverse, and Line functions accept the - * "capabilities mask" as a NETGeographicLib::Mask rather than an - * unsigned. - **********************************************************************/ - public ref class Geodesic - { - private: - // The pointer to the unmanaged GeographicLib::Geodesic. - const GeographicLib::Geodesic* m_pGeodesic; - - // Frees the unmanaged memory when this object is destroyed. - !Geodesic(); - public: - /** - * Bit masks for what calculations to do. These masks do double duty. - * They signify to the GeodesicLine::GeodesicLine constructor and to - * Geodesic::Line what capabilities should be included in the GeodesicLine - * object. They also specify which results to return in the general - * routines Geodesic::GenDirect and Geodesic::GenInverse routines. - * GeodesicLine::mask is a duplication of this enum. - **********************************************************************/ - enum class mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLine because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7 | unsigned(captype::CAP_NONE), - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8 | unsigned(captype::CAP_C3), - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLine because this is included - * by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9 | unsigned(captype::CAP_NONE), - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10 | unsigned(captype::CAP_C1), - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = 1U<<11 | unsigned(captype::CAP_C1) | unsigned(captype::CAP_C1p), - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = 1U<<12 | unsigned(captype::CAP_C1) | unsigned(captype::CAP_C2), - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = 1U<<13 | unsigned(captype::CAP_C1) | unsigned(captype::CAP_C2), - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14 | unsigned(captype::CAP_C4), - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * All capabilities, calculate everything. (LONG_UNROLL is not - * included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = unsigned(captype::OUT_ALL)| unsigned(captype::CAP_ALL), - }; - /** \name Constructor - **********************************************************************/ - ///@{ - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @exception GeographicErr if \e a or (1 − \e f ) \e a is not - * positive. - **********************************************************************/ - Geodesic(double a, double f); - - /** - * Constructor for the WGS84 ellipsoid. - **********************************************************************/ - Geodesic(); - ///@} - - /** - * \brief the destructor calls the finalizer. - **********************************************************************/ - ~Geodesic() { this->!Geodesic(); } - - /** \name Direct geodesic problem specified in terms of distance. - **********************************************************************/ - ///@{ - /** - * Solve the direct geodesic problem where the length of the geodesic - * is specified in terms of distance. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * \e lat1 should be in the range [−90°, 90°]. The - * values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - * - * The following functions are overloaded versions of Geodesic::Direct - * which omit some of the output parameters. Note, however, that the arc - * length is always computed and returned as the function value. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - ///@} - - /** \name Direct geodesic problem specified in terms of arc length. - **********************************************************************/ - ///@{ - /** - * Solve the direct geodesic problem where the length of the geodesic - * is specified in terms of arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * - * \e lat1 should be in the range [−90°, 90°]. The - * values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - * - * The following functions are overloaded versions of Geodesic::Direct - * which omit some of the output parameters. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12); - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - ///@} - - /** \name General version of the direct geodesic solution. - **********************************************************************/ - ///@{ - - /** - * The general direct geodesic problem. Geodesic::Direct and - * Geodesic::ArcDirect are defined in terms of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] arcmode boolean flag determining the meaning of the \e - * s12_a12. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param[in] outmask a bitor'ed combination of Geodesic::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The Geodesic::mask values possible for \e outmask are - * - \e outmask |= Geodesic::LATITUDE for the latitude \e lat2; - * - \e outmask |= Geodesic::LONGITUDE for the latitude \e lon2; - * - \e outmask |= Geodesic::AZIMUTH for the latitude \e azi2; - * - \e outmask |= Geodesic::DISTANCE for the distance \e s12; - * - \e outmask |= Geodesic::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= Geodesic::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= Geodesic::AREA for the area \e S12; - * - \e outmask |= Geodesic::ALL for all of the above; - * - \e outmask |= Geodesic::LONG_UNROLL to unroll \e lon2 instead of - * wrapping it into the range [−180°, 180°). - * . - * The function value \e a12 is always computed and returned and this - * equals \e s12_a12 is \e arcmode is true. If \e outmask includes - * Geodesic::DISTANCE and \e arcmode is false, then \e s12 = \e s12_a12. - * It is not necessary to include Geodesic::DISTANCE_IN in \e outmask; this - * is automatically included is \e arcmode is false. - * - * With the LONG_UNROLL bit set, the quantity \e lon2 − \e lon1 - * indicates how many times and in what sense the geodesic encircles - * the ellipsoid. - **********************************************************************/ - double GenDirect(double lat1, double lon1, double azi1, - bool arcmode, double s12_a12, - Geodesic::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - ///@} - - /** \name Inverse geodesic problem. - **********************************************************************/ - ///@{ - /** - * Solve the inverse geodesic problem. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] azi1 azimuth at point 1 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * \e lat1 and \e lat2 should be in the range [−90°, - * 90°]. The values of \e azi1 and \e azi2 returned are in the - * range [−180°, 180°). - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. - * - * The solution to the inverse problem is found using Newton's method. If - * this fails to converge (this is very unlikely in geodetic applications - * but does occur for very eccentric ellipsoids), then the bisection method - * is used to refine the solution. - * - * The following functions are overloaded versions of Geodesic::Inverse - * which omit some of the output parameters. Note, however, that the arc - * length is always computed and returned as the function value. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12); - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - ///@} - - /** \name General version of inverse geodesic solution. - **********************************************************************/ - ///@{ - /** - * The general inverse geodesic calculation. Geodesic::Inverse is defined - * in terms of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] outmask a bitor'ed combination of Geodesic::mask values - * specifying which of the following parameters should be set. - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] azi1 azimuth at point 1 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The Geodesic::mask values possible for \e outmask are - * - \e outmask |= Geodesic::DISTANCE for the distance \e s12; - * - \e outmask |= Geodesic::AZIMUTH for the latitude \e azi2; - * - \e outmask |= Geodesic::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= Geodesic::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= Geodesic::AREA for the area \e S12; - * - \e outmask |= Geodesic::ALL for all of the above. - * . - * The arc length is always computed and returned as the function value. - **********************************************************************/ - double GenInverse(double lat1, double lon1, double lat2, double lon2, - Geodesic::mask outmask, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - ///@} - - /** \name Interface to GeodesicLine. - **********************************************************************/ - ///@{ - - /** - * Set up to compute several points on a single geodesic. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of NETGeographicLib::Mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * The NETGeographicLib::Mask values are - * - \e caps |= NETGeographicLib::Mask::LATITUDE for the latitude \e lat2; this is - * added automatically; - * - \e caps |= NETGeographicLib::Mask::LONGITUDE for the latitude \e lon2; - * - \e caps |= NETGeographicLib::Mask::AZIMUTH for the azimuth \e azi2; this is - * added automatically; - * - \e caps |= NETGeographicLib::Mask::DISTANCE for the distance \e s12; - * - \e caps |= NETGeographicLib::Mask::REDUCEDLENGTH for the reduced length \e m12; - * - \e caps |= NETGeographicLib::Mask::GEODESICSCALE for the geodesic scales \e M12 - * and \e M21; - * - \e caps |= NETGeographicLib::Mask::AREA for the area \e S12; - * - \e caps |= NETGeographicLib::Mask::DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length; - * - \e caps |= NETGeographicLib::Mask::ALL for all of the above. - * . - * - * If the point is at a pole, the azimuth is defined by keeping \e lon1 - * fixed, writing \e lat1 = ±(90 − ε), and taking the - * limit ε → 0+. - **********************************************************************/ - GeodesicLine^ Line(double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps ); - - /** - * Define a GeodesicLine in terms of the inverse geodesic problem. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the inverse geodesic problem. - * - * \e lat1 and \e lat2 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLine^ InverseLine(double lat1, double lon1, double lat2, - double lon2, NETGeographicLib::Mask caps); - - /** - * Define a GeodesicLine in terms of the direct geodesic problem specified - * in terms of distance. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLine^ DirectLine(double lat1, double lon1, double azi1, - double s12, NETGeographicLib::Mask caps); - - /** - * Define a GeodesicLine in terms of the direct geodesic problem specified - * in terms of arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLine^ ArcDirectLine(double lat1, double lon1, double azi1, - double a12, NETGeographicLib::Mask caps); - - /** - * Define a GeodesicLine in terms of the direct geodesic problem specified - * in terms of either distance or arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] arcmode boolean flag determining the meaning of the \e - * s12_a12. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLine^ GenDirectLine(double lat1, double lon1, double azi1, - bool arcmode, double s12_a12, - NETGeographicLib::Mask caps); - ///@} - - /** \name Inspector functions. - **********************************************************************/ - ///@{ - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return total area of ellipsoid in meters2. The area of a - * polygon encircling a pole can be found by adding - * Geodesic::EllipsoidArea()/2 to the sum of \e S12 for each side of the - * polygon. - **********************************************************************/ - property double EllipsoidArea { double get(); } - - /** - * %return The unmanaged pointer to the GeographicLib::Geodesic. - * - * This function is for internal use only. - **********************************************************************/ - System::IntPtr^ GetUnmanaged(); - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicExact.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicExact.cpp deleted file mode 100644 index cfc2909cc0240b4dd12a2b611368c7778f4b43cc..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicExact.cpp +++ /dev/null @@ -1,522 +0,0 @@ -/** - * \file NETGeographicLib/GeodesicExact.cpp - * \brief Implementation for NETGeographicLib::GeodesicExact class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/GeodesicExact.hpp" -#include "GeographicLib/GeodesicLineExact.hpp" -#include "GeodesicExact.h" -#include "GeodesicLineExact.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::GeodesicExact"; - -//***************************************************************************** -GeodesicExact::!GeodesicExact(void) -{ - if ( m_pGeodesicExact != NULL ) - { - delete m_pGeodesicExact; - m_pGeodesicExact = NULL; - } -} - -//***************************************************************************** -GeodesicExact::GeodesicExact() -{ - try - { - m_pGeodesicExact = new GeographicLib::GeodesicExact( GeographicLib::GeodesicExact::WGS84() ); - } - catch ( std::bad_alloc err ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -GeodesicExact::GeodesicExact(double a, double f) -{ - try - { - m_pGeodesicExact = new GeographicLib::GeodesicExact( a, f ); - } - catch ( std::bad_alloc err ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( GeographicLib::GeographicErr err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double GeodesicExact::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21, lS12; - double out = m_pGeodesicExact->Direct( lat1, lon1, azi1, s12, - llat2, llon2, lazi2, lm12, lM12, lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double GeodesicExact::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double llat2, llon2; - double out = m_pGeodesicExact->Direct( lat1, lon1, azi1, s12, - llat2, llon2 ); - lat2 = llat2; - lon2 = llon2; - return out; -} - -//***************************************************************************** -double GeodesicExact::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double llat2, llon2, lazi2; - double out = m_pGeodesicExact->Direct( lat1, lon1, azi1, s12, - llat2, llon2, lazi2 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - return out; -} - -//***************************************************************************** -double GeodesicExact::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12) -{ - double llat2, llon2, lazi2, lm12; - double out = m_pGeodesicExact->Direct( lat1, lon1, azi1, s12, - llat2, llon2, lazi2, lm12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - return out; -} - -//***************************************************************************** -double GeodesicExact::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, lM12, lM21; - double out = m_pGeodesicExact->Direct( lat1, lon1, azi1, s12, - llat2, llon2, lazi2, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -double GeodesicExact::Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21; - double out = m_pGeodesicExact->Direct( lat1, lon1, azi1, s12, - llat2, llon2, lazi2, lm12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -void GeodesicExact::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12; - m_pGeodesicExact->ArcDirect( lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; -} - -//***************************************************************************** -void GeodesicExact::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double llat2, llon2; - m_pGeodesicExact->ArcDirect( lat1, lon1, azi1, a12, - llat2, llon2 ); - lat2 = llat2; - lon2 = llon2; -} - -//***************************************************************************** -void GeodesicExact::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double llat2, llon2, lazi2; - m_pGeodesicExact->ArcDirect( lat1, lon1, azi1, a12, - llat2, llon2, lazi2 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; -} - -//***************************************************************************** -void GeodesicExact::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12) -{ - double llat2, llon2, lazi2, ls12; - m_pGeodesicExact->ArcDirect( lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; -} - -//***************************************************************************** -void GeodesicExact::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12) -{ - double llat2, llon2, lazi2, ls12, lm12; - m_pGeodesicExact->ArcDirect( lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12, lm12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; -} - -//***************************************************************************** -void GeodesicExact::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, ls12, lM12, lM21; - m_pGeodesicExact->ArcDirect( lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - M12 = lM12; - M21 = lM21; -} - -//***************************************************************************** -void GeodesicExact::ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21; - m_pGeodesicExact->ArcDirect( lat1, lon1, azi1, a12, - llat2, llon2, lazi2, ls12, lm12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; -} - -//***************************************************************************** -double GeodesicExact::GenDirect(double lat1, double lon1, double azi1, - bool arcmode, double s12_a12, - GeodesicExact::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12; - double out = m_pGeodesicExact->GenDirect( lat1, lon1, azi1, arcmode, s12_a12, - static_cast(outmask), llat2, llon2, lazi2, ls12, lm12, lM12, - lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double GeodesicExact::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double ls12, lazi1, lazi2, lm12, lM12, lM21, lS12; - double out = m_pGeodesicExact->Inverse( lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2, lm12, lM12, lM21, lS12 ); - s12 = ls12; - azi1 = lazi1; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double GeodesicExact::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12) -{ - double ls12; - double out = m_pGeodesicExact->Inverse( lat1, lon1, lat2, lon2, ls12 ); - s12 = ls12; - return out; -} - -//***************************************************************************** -double GeodesicExact::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double lazi1, lazi2; - double out = m_pGeodesicExact->Inverse( lat1, lon1, lat2, lon2, - lazi1, lazi2 ); - azi1 = lazi1; - azi2 = lazi2; - return out; -} - -//***************************************************************************** -double GeodesicExact::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double ls12, lazi1, lazi2; - double out = m_pGeodesicExact->Inverse( lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2 ); - s12 = ls12; - azi1 = lazi1; - azi2 = lazi2; - return out; -} - -//***************************************************************************** -double GeodesicExact::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12) -{ - double ls12, lazi1, lazi2, lm12; - double out = m_pGeodesicExact->Inverse( lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2, lm12 ); - s12 = ls12; - azi1 = lazi1; - azi2 = lazi2; - m12 = lm12; - return out; -} - -//***************************************************************************** -double GeodesicExact::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double ls12, lazi1, lazi2, lM12, lM21; - double out = m_pGeodesicExact->Inverse( lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2, lM12, lM21 ); - s12 = ls12; - azi1 = lazi1; - azi2 = lazi2; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -double GeodesicExact::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double ls12, lazi1, lazi2, lm12, lM12, lM21; - double out = m_pGeodesicExact->Inverse( lat1, lon1, lat2, lon2, - ls12, lazi1, lazi2, lm12, lM12, lM21 ); - s12 = ls12; - azi1 = lazi1; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -double GeodesicExact::GenInverse(double lat1, double lon1, double lat2, double lon2, - GeodesicExact::mask outmask, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double ls12, lazi1, lazi2, lm12, lM12, lM21, lS12; - double out = m_pGeodesicExact->GenInverse( lat1, lon1, lat2, lon2, - static_cast(outmask), ls12, lazi1, lazi2, lm12, lM12, - lM21, lS12 ); - s12 = ls12; - azi1 = lazi1; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -System::IntPtr^ GeodesicExact::GetUnmanaged() -{ - return gcnew System::IntPtr( const_cast( - reinterpret_cast(m_pGeodesicExact) ) ); -} - -//***************************************************************************** -GeodesicLineExact^ GeodesicExact::Line(double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps ) -{ - return gcnew GeodesicLineExact( this, lat1, lon1, azi1, caps ); -} - -//***************************************************************************** -GeodesicLineExact^ GeodesicExact::InverseLine(double lat1, double lon1, - double lat2, double lon2, NETGeographicLib::Mask caps) -{ - return gcnew GeodesicLineExact(m_pGeodesicExact->InverseLine( - lat1, lon1, lat2, lon2, static_cast(caps))); -} - -//***************************************************************************** -GeodesicLineExact^ GeodesicExact::DirectLine(double lat1, double lon1, - double azi1, double s12, NETGeographicLib::Mask caps) -{ - return gcnew GeodesicLineExact(m_pGeodesicExact->DirectLine( - lat1, lon1, azi1, s12, static_cast(caps))); -} - -//***************************************************************************** -GeodesicLineExact^ GeodesicExact::ArcDirectLine(double lat1, double lon1, - double azi1, double a12, NETGeographicLib::Mask caps) -{ - return gcnew GeodesicLineExact(m_pGeodesicExact->ArcDirectLine( - lat1, lon1, azi1, a12, static_cast(caps))); -} - -//***************************************************************************** -GeodesicLineExact^ GeodesicExact::GenDirectLine(double lat1, double lon1, - double azi1, bool arcmode, double s12_a12, NETGeographicLib::Mask caps) -{ - return gcnew GeodesicLineExact(m_pGeodesicExact->GenDirectLine( - lat1, lon1, azi1, arcmode, s12_a12, static_cast(caps))); -} - -//***************************************************************************** -double GeodesicExact::EquatorialRadius::get() -{ return m_pGeodesicExact->EquatorialRadius(); } - -//***************************************************************************** -double GeodesicExact::Flattening::get() -{ return m_pGeodesicExact->Flattening(); } - -//***************************************************************************** -double GeodesicExact::EllipsoidArea::get() -{ return m_pGeodesicExact->EllipsoidArea(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicExact.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicExact.h deleted file mode 100644 index 90763e8839943bb230c9cd325bf4819e6b3f3766..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicExact.h +++ /dev/null @@ -1,780 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/GeodesicExact.h - * \brief Header for NETGeographicLib::GeodesicExact class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "NETGeographicLib.h" - -namespace NETGeographicLib -{ - ref class GeodesicLineExact; - /*! - \brief .NET wrapper for GeographicLib::GeodesicExact. - - This class allows .NET applications to access GeographicLib::GeodesicExact. - */ - /** - * \brief .NET wrapper for GeographicLib::GeodesicExact. - * - * This class allows .NET applications to access GeographicLib::GeodesicExact. - * - * The equations for geodesics on an ellipsoid can be expressed in terms of - * incomplete elliptic integrals. The Geodesic class expands these integrals - * in a series in the flattening \e f and this provides an accurate solution - * for \e f &isin [-0.01, 0.01]. The GeodesicExact class computes the - * ellitpic integrals directly and so provides a solution which is valid for - * all \e f. However, in practice, its use should be limited to about \e - * b/\e a ∈ [0.01, 100] or \e f ∈ [-99, 0.99]. - * - * For the WGS84 ellipsoid, these classes are 2--3 times \e slower than the - * series solution and 2--3 times \e less \e accurate (because it's less easy - * to control round-off errors with the elliptic integral formulation); i.e., - * the error is about 40 nm (40 nanometers) instead of 15 nm. However the - * error in the series solution scales as f7 while the - * error in the elliptic integral solution depends weakly on \e f. If the - * quarter meridian distance is 10000 km and the ratio \e b/\e a = 1 − - * \e f is varied then the approximate maximum error (expressed as a - * distance) is 
-   *       1 - f  error (nm)
-   *       1/128     387
-   *       1/64      345
-   *       1/32      269
-   *       1/16      210
-   *       1/8       115
-   *       1/4        69
-   *       1/2        36
-   *         1        15
-   *         2        25
-   *         4        96
-   *         8       318
-   *        16       985
-   *        32      2352
-   *        64      6008
-   *       128     19024
-   *
- * - * The computation of the area in these classes is via a 30th order series. - * This gives accurate results for \e b/\e a ∈ [1/2, 2]; the accuracy is - * about 8 decimal digits for \e b/\e a ∈ [1/4, 4]. - * - * See \ref geodellip for the formulation. See the documentation on the - * Geodesic class for additional information on the geodesics problems. - * - * C# Example: - * \include example-GeodesicExact.cs - * Managed C++ Example: - * \include example-GeodesicExact.cpp - * Visual Basic Example: - * \include example-GeodesicExact.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor is provided that assumes WGS84 parameters. - * - * The EquatorialRadius, Flattening, and EllipsoidArea functions are - * implemented as properties. - * - * The GenDirect, GenInverse, and Line functions accept the - * "capabilities mask" as a NETGeographicLib::Mask rather than an - * unsigned. - **********************************************************************/ - public ref class GeodesicExact - { - private: - enum class captype { - CAP_NONE = 0U, - CAP_E = 1U<<0, - // Skip 1U<<1 for compatibility with Geodesic (not required) - CAP_D = 1U<<2, - CAP_H = 1U<<3, - CAP_C4 = 1U<<4, - CAP_ALL = 0x1FU, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80U, - OUT_MASK = 0xFF80U, // Includes LONG_UNROLL - }; - // pointer to the unmanaged GeographicLib::GeodesicExact. - const GeographicLib::GeodesicExact* m_pGeodesicExact; - - // the finalizer deletes the unmanaged memory. - !GeodesicExact(); - public: - /** - * Bit masks for what calculations to do. These masks do double duty. - * They signify to the GeodesicLineExact::GeodesicLineExact constructor and - * to GeodesicExact::Line what capabilities should be included in the - * GeodesicLineExact object. They also specify which results to return in - * the general routines GeodesicExact::GenDirect and - * GeodesicExact::GenInverse routines. GeodesicLineExact::mask is a - * duplication of this enum. - **********************************************************************/ - enum class mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLineExact because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7 | unsigned(captype::CAP_NONE), - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8 | unsigned(captype::CAP_H), - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLineExact because this is - * included by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9 | unsigned(captype::CAP_NONE), - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10 | unsigned(captype::CAP_E), - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = 1U<<11 | unsigned(captype::CAP_E), - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = 1U<<12 | unsigned(captype::CAP_D), - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = 1U<<13 | unsigned(captype::CAP_D), - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14 | unsigned(captype::CAP_C4), - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * All capabilities, calculate everything. (LONG_UNROLL is not - * included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = unsigned(captype::OUT_ALL)| unsigned(captype::CAP_ALL), - }; - - /** \name Constructor - **********************************************************************/ - ///@{ - /** - * Constructor for a WGS84 ellipsoid - **********************************************************************/ - GeodesicExact(); - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @exception GeographicErr if \e a or (1 − \e f ) \e a is not - * positive. - **********************************************************************/ - GeodesicExact(double a, double f); - ///@} - - /** - * The desstructor calls the finalizer. - **********************************************************************/ - ~GeodesicExact() - { this->!GeodesicExact(); } - - /** \name Direct geodesic problem specified in terms of distance. - **********************************************************************/ - ///@{ - /** - * Perform the direct geodesic calculation where the length of the geodesic - * is specified in terms of distance. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * signed. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * \e lat1 should be in the range [−90°, 90°];. The - * values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - * - * The following functions are overloaded versions of GeodesicExact::Direct - * which omit some of the output parameters. Note, however, that the arc - * length is always computed and returned as the function value. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - double Direct(double lat1, double lon1, double azi1, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - ///@} - - /** \name Direct geodesic problem specified in terms of arc length. - **********************************************************************/ - ///@{ - /** - * Perform the direct geodesic calculation where the length of the geodesic - * is specified in terms of arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be signed. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * - * \e lat1 should be in the range [−90°, 90°]. The - * values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - * - * The following functions are overloaded versions of GeodesicExact::Direct - * which omit some of the output parameters. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12); - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(double lat1, double lon1, double azi1, double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - ///@} - - /** \name General version of the direct geodesic solution. - **********************************************************************/ - ///@{ - - /** - * The general direct geodesic calculation. GeodesicExact::Direct and - * GeodesicExact::ArcDirect are defined in terms of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be signed. - * @param[in] outmask a bitor'ed combination of GeodesicExact::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The GeodesicExact::mask values possible for \e outmask are - * - \e outmask |= GeodesicExact::LATITUDE for the latitude \e lat2; - * - \e outmask |= GeodesicExact::LONGITUDE for the latitude \e lon2; - * - \e outmask |= GeodesicExact::AZIMUTH for the latitude \e azi2; - * - \e outmask |= GeodesicExact::DISTANCE for the distance \e s12; - * - \e outmask |= GeodesicExact::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= GeodesicExact::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= GeodesicExact::AREA for the area \e S12; - * - \e outmask |= GeodesicExact::ALL for all of the above; - * - \e outmask |= GeodesicExact::LONG_UNROLL to unroll \e lon2 instead of - * wrapping it into the range [−180°, 180°). - * . - * The function value \e a12 is always computed and returned and this - * equals \e s12_a12 is \e arcmode is true. If \e outmask includes - * GeodesicExact::DISTANCE and \e arcmode is false, then \e s12 = \e - * s12_a12. It is not necessary to include GeodesicExact::DISTANCE_IN in - * \e outmask; this is automatically included is \e arcmode is false. - * - * With the LONG_UNROLL bit set, the quantity \e lon2 − \e lon1 - * indicates how many times and in what sense the geodesic encircles - * the ellipsoid. - **********************************************************************/ - double GenDirect(double lat1, double lon1, double azi1, - bool arcmode, double s12_a12, GeodesicExact::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - ///@} - - /** \name Inverse geodesic problem. - **********************************************************************/ - ///@{ - /** - * Perform the inverse geodesic calculation. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] azi1 azimuth at point 1 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * \e lat1 and \e lat2 should be in the range [−90°, - * 90°]. The values of \e azi1 and \e azi2 returned are in the - * range [−180°, 180°). - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. - * - * The following functions are overloaded versions of GeodesicExact::Inverse - * which omit some of the output parameters. Note, however, that the arc - * length is always computed and returned as the function value. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12); - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - double Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - ///@} - - /** \name General version of inverse geodesic solution. - **********************************************************************/ - ///@{ - /** - * The general inverse geodesic calculation. GeodesicExact::Inverse is - * defined in terms of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] outmask a bitor'ed combination of GeodesicExact::mask values - * specifying which of the following parameters should be set. - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] azi1 azimuth at point 1 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The GeodesicExact::mask values possible for \e outmask are - * - \e outmask |= GeodesicExact::DISTANCE for the distance \e s12; - * - \e outmask |= GeodesicExact::AZIMUTH for the latitude \e azi2; - * - \e outmask |= GeodesicExact::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= GeodesicExact::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= GeodesicExact::AREA for the area \e S12; - * - \e outmask |= GeodesicExact::ALL for all of the above. - * . - * The arc length is always computed and returned as the function value. - **********************************************************************/ - double GenInverse(double lat1, double lon1, double lat2, double lon2, - GeodesicExact::mask outmask, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi1, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - ///@} - - /** \name Interface to GeodesicLineExact. - **********************************************************************/ - ///@{ - - /** - * Set up to compute several points on a single geodesic. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of NETGeographicLib::Mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * The GeodesicExact::mask values are - * - \e caps |= NETGeographicLib::Mask::LATITUDE for the latitude \e lat2; this is - * added automatically; - * - \e caps |= NETGeographicLib::Mask::LONGITUDE for the latitude \e lon2; - * - \e caps |= NETGeographicLib::Mask::AZIMUTH for the azimuth \e azi2; this is - * added automatically; - * - \e caps |= NETGeographicLib::Mask::DISTANCE for the distance \e s12; - * - \e caps |= NETGeographicLib::Mask::REDUCEDLENGTH for the reduced length \e m12; - * - \e caps |= NETGeographicLib::Mask::GEODESICSCALE for the geodesic scales \e M12 - * and \e M21; - * - \e caps |= NETGeographicLib::Mask::AREA for the area \e S12; - * - \e caps |= NETGeographicLib::Mask::DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length; - * - \e caps |= GeodesicExact::ALL for all of the above. - * . - * The default value of \e caps is GeodesicExact::ALL which turns on all - * the capabilities. - * - * If the point is at a pole, the azimuth is defined by keeping \e lon1 - * fixed, writing \e lat1 = ±(90 − ε), and taking the - * limit ε → 0+. - **********************************************************************/ - GeodesicLineExact^ Line(double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps ); - - /** - * Define a GeodesicLineExact in terms of the inverse geodesic problem. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * This function sets point 3 of the GeodesicLineExact to correspond to - * point 2 of the inverse geodesic problem. - * - * \e lat1 and \e lat2 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLineExact^ InverseLine(double lat1, double lon1, double lat2, - double lon2, NETGeographicLib::Mask caps ); - - /** - * Define a GeodesicLineExact in terms of the direct geodesic problem - * specified in terms of distance. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * This function sets point 3 of the GeodesicLineExact to correspond to - * point 2 of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLineExact^ DirectLine(double lat1, double lon1, double azi1, - double s12, NETGeographicLib::Mask caps); - - /** - * Define a GeodesicLineExact in terms of the direct geodesic problem - * specified in terms of arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * This function sets point 3 of the GeodesicLineExact to correspond to - * point 2 of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLineExact^ ArcDirectLine(double lat1, double lon1, double azi1, - double a12, NETGeographicLib::Mask caps); - - /** - * Define a GeodesicLineExact in terms of the direct geodesic problem - * specified in terms of either distance or arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] arcmode boolean flag determining the meaning of the \e - * s12_a12. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * This function sets point 3 of the GeodesicLineExact to correspond to - * point 2 of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLineExact^ GenDirectLine(double lat1, double lon1, double azi1, - bool arcmode, double s12_a12, NETGeographicLib::Mask caps); - ///@} - - /** \name Inspector functions. - **********************************************************************/ - ///@{ - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return total area of ellipsoid in meters2. The area of a - * polygon encircling a pole can be found by adding - * GeodesicExact::EllipsoidArea()/2 to the sum of \e S12 for each side of - * the polygon. - **********************************************************************/ - property double EllipsoidArea { double get(); } - ///@} - - /** - * @return A pointer to the unmanaged GeographicLib::GeodesicExact. - * - * This function is for internal use only. - **********************************************************************/ - System::IntPtr^ GetUnmanaged(); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLine.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLine.cpp deleted file mode 100644 index f10e5509c0378df5fd7797e916edabc0bd0f438d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLine.cpp +++ /dev/null @@ -1,405 +0,0 @@ -/** - * \file NETGeographicLib/GeodesicLine.cpp - * \brief Implementation for NETGeographicLib::GeodesicLine class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/GeodesicLine.hpp" -#include "Geodesic.h" -#include "GeodesicLine.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::GeodesicLine"; - -//***************************************************************************** -GeodesicLine::!GeodesicLine(void) -{ - if ( m_pGeodesicLine != NULL ) - { - delete m_pGeodesicLine; - m_pGeodesicLine = NULL; - } -} - -//***************************************************************************** -GeodesicLine::GeodesicLine( Geodesic^ g, double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps ) -{ - try - { - const GeographicLib::Geodesic* pGeodesic = - reinterpret_cast( - g->GetUnmanaged()->ToPointer() ); - m_pGeodesicLine = new GeographicLib::GeodesicLine( *pGeodesic, - lat1, lon1, azi1, static_cast(caps) ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -GeodesicLine::GeodesicLine(const GeographicLib::GeodesicLine& gl) -{ - try - { - m_pGeodesicLine = new GeographicLib::GeodesicLine(gl); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr(BADALLOC); - } -} - -//***************************************************************************** -GeodesicLine::GeodesicLine(double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps) -{ - try - { - m_pGeodesicLine = new GeographicLib::GeodesicLine( - GeographicLib::Geodesic::WGS84(), lat1, lon1, azi1, - static_cast(caps) ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -double GeodesicLine::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21, lS12; - double out = m_pGeodesicLine->Position( s12, llat2, llon2, lazi2, lm12, - lM12, lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double GeodesicLine::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double llat2, llon2; - double out = m_pGeodesicLine->Position( s12, llat2, llon2); - lat2 = llat2; - lon2 = llon2; - return out; -} - -//***************************************************************************** -double GeodesicLine::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double llat2, llon2, lazi2; - double out = m_pGeodesicLine->Position( s12, llat2, llon2, lazi2 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - return out; -} - -//***************************************************************************** -double GeodesicLine::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12) -{ - double llat2, llon2, lazi2, lm12; - double out = m_pGeodesicLine->Position( s12, llat2, llon2, lazi2, - lm12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - return out; -} - -//***************************************************************************** -double GeodesicLine::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, lM12, lM21; - double out = m_pGeodesicLine->Position( s12, llat2, llon2, lazi2, - lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -double GeodesicLine::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21; - double out = m_pGeodesicLine->Position( s12, llat2, llon2, lazi2, lm12, - lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -void GeodesicLine::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12; - m_pGeodesicLine->ArcPosition( a12, llat2, llon2, lazi2, - ls12, lm12, lM12, lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; -} - -//***************************************************************************** -void GeodesicLine::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double llat2, llon2; - m_pGeodesicLine->ArcPosition( a12, llat2, llon2 ); - lat2 = llat2; - lon2 = llon2; -} - -//***************************************************************************** -void GeodesicLine::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double llat2, llon2, lazi2; - m_pGeodesicLine->ArcPosition( a12, llat2, llon2, lazi2 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; -} - -//***************************************************************************** -void GeodesicLine::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12) -{ - double llat2, llon2, lazi2, ls12; - m_pGeodesicLine->ArcPosition( a12, llat2, llon2, lazi2, ls12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; -} - -//***************************************************************************** -void GeodesicLine::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12) -{ - double llat2, llon2, lazi2, ls12, lm12; - m_pGeodesicLine->ArcPosition( a12, llat2, llon2, lazi2, ls12, lm12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; -} - -//***************************************************************************** -void GeodesicLine::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, ls12, lM12, lM21; - m_pGeodesicLine->ArcPosition( a12, llat2, llon2, lazi2, - ls12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - M12 = lM12; - M21 = lM21; -} - -//***************************************************************************** -void GeodesicLine::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21; - m_pGeodesicLine->ArcPosition( a12, llat2, llon2, lazi2, - ls12, lm12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; -} - -//***************************************************************************** -double GeodesicLine::GenPosition(bool arcmode, double s12_a12, - GeodesicLine::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12; - double out = m_pGeodesicLine->GenPosition( arcmode, s12_a12, - static_cast(outmask), - llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double GeodesicLine::Latitude::get() { return m_pGeodesicLine->Latitude(); } - -//***************************************************************************** -double GeodesicLine::Longitude::get() { return m_pGeodesicLine->Longitude(); } - -//***************************************************************************** -double GeodesicLine::Azimuth::get() { return m_pGeodesicLine->Azimuth(); } - -//***************************************************************************** -double GeodesicLine::EquatorialAzimuth::get() -{ return m_pGeodesicLine->EquatorialAzimuth(); } - -//***************************************************************************** -double GeodesicLine::EquatorialArc::get() -{ return m_pGeodesicLine->EquatorialArc(); } - -//***************************************************************************** -double GeodesicLine::EquatorialRadius::get() -{ return m_pGeodesicLine->EquatorialRadius(); } - -//***************************************************************************** -double GeodesicLine::Flattening::get() -{ return m_pGeodesicLine->Flattening(); } - -//***************************************************************************** -double GeodesicLine::Distance::get() -{ return m_pGeodesicLine->Distance(); } - -//***************************************************************************** -double GeodesicLine::Arc::get() -{ return m_pGeodesicLine->Arc(); } - -//***************************************************************************** -NETGeographicLib::Mask GeodesicLine::Capabilities() -{ return static_cast(m_pGeodesicLine->Capabilities()); } - -//***************************************************************************** -bool GeodesicLine::Capabilities(GeodesicLine::mask testcaps) -{ return m_pGeodesicLine->Capabilities( static_cast(testcaps) ); } - -//***************************************************************************** -void GeodesicLine::SetDistance(double s13) -{ m_pGeodesicLine->SetDistance(s13); } - -//***************************************************************************** -void GeodesicLine::SetArc(double a13) -{ m_pGeodesicLine->SetArc(a13); } - -//***************************************************************************** -void GeodesicLine::GenSetDistance(bool arcmode, double s13_a13) -{ m_pGeodesicLine->GenSetDistance(arcmode, s13_a13); } - -//***************************************************************************** -void GeodesicLine::AzimuthSinCos(double% sazi1, double% cazi1) -{ - double x1, x2; - m_pGeodesicLine->Azimuth(x1, x2); - sazi1 = x1; - cazi1 = x2; -} - -//***************************************************************************** -void GeodesicLine::EquatorialAzimuthSinCos(double% sazi0, double% cazi0) -{ - double x1, x2; - m_pGeodesicLine->EquatorialAzimuth(x1, x2); - sazi0 = x1; - cazi0 = x2; -} - -//***************************************************************************** -double GeodesicLine::GenDistance(bool arcmode) -{ return m_pGeodesicLine->GenDistance(arcmode); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLine.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLine.h deleted file mode 100644 index 990a17cfcbbd37e4975656d84e6d50587831f99d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLine.h +++ /dev/null @@ -1,636 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/GeodesicLine.h - * \brief Header for NETGeographicLib::GeodesicLine class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "NETGeographicLib.h" - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::GeodesicLine. - * - * This class allows .NET applications to access GeographicLib::GeodesicLine. - * - * GeodesicLine facilitates the determination of a series of points on a - * single geodesic. The starting point (\e lat1, \e lon1) and the azimuth \e - * azi1 are specified in the constructor. GeodesicLine.Position returns the - * location of point 2 a distance \e s12 along the geodesic. Alternatively - * GeodesicLine.ArcPosition gives the position of point 2 an arc length \e - * a12 along the geodesic. - * - * The default copy constructor and assignment operators work with this - * class. Similarly, a vector can be used to hold GeodesicLine objects. - * - * The calculations are accurate to better than 15 nm (15 nanometers). See - * Sec. 9 of - * arXiv:1102.1215v1 for - * details. The algorithms used by this class are based on series expansions - * using the flattening \e f as a small parameter. These are only accurate - * for |f| < 0.02; however reasonably accurate results will be - * obtained for |f| < 0.2. For very eccentric ellipsoids, use - * GeodesicLineExact instead. - * - * The algorithms are described in - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * geod-addenda.html. - * . - * For more information on geodesics see \ref geodesic. - * - * C# Example: - * \include example-GeodesicLine.cs - * Managed C++ Example: - * \include example-GeodesicLine.cpp - * Visual Basic Example: - * \include example-GeodesicLine.vb - * - * INTERFACE DIFFERENCES:
- * A constructor has been provided which assumes WGS84 parameters. - * - * The following functions are implemented as properties: - * Latitude, Longitude, Azimuth, EquatorialAzimuth, EquatorialArc, - * EquatorialRadius, Distance, Arc, and Flattening. - * - * The constructors, Capabilities, and GenPosition functions accept the - * "capabilities mask" as a NETGeographicLib::Mask rather than an - * unsigned. The Capabilities function returns a NETGeographicLib::Mask - * rather than an unsigned. - * - * The overloaded Azimuth and EquatorialAzimuth functions that return - * the sin and cosine terms have been renamed AzimuthSinCos and - * EquatorialAzimuthSinCos, repectively. - **********************************************************************/ - public ref class GeodesicLine - { - private: - // pointer to the unmanaged GeographicLib::GeodesicLine. - GeographicLib::GeodesicLine* m_pGeodesicLine; - - // The finalizer frees the unmanaged memory when this object is destroyed. - !GeodesicLine(void); - public: - - /** - * Bit masks for what calculations to do. They signify to the - * GeodesicLine::GeodesicLine constructor and to Geodesic::Line what - * capabilities should be included in the GeodesicLine object. This is - * merely a duplication of Geodesic::mask. - **********************************************************************/ - enum class mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLine because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7 | unsigned(captype::CAP_NONE), - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8 | unsigned(captype::CAP_C3), - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLine because this is included - * by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9 | unsigned(captype::CAP_NONE), - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10 | unsigned(captype::CAP_C1), - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = 1U<<11 | unsigned(captype::CAP_C1) | unsigned(captype::CAP_C1p), - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = 1U<<12 | unsigned(captype::CAP_C1) | unsigned(captype::CAP_C2), - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = 1U<<13 | unsigned(captype::CAP_C1) | unsigned(captype::CAP_C2), - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14 | unsigned(captype::CAP_C4), - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * All capabilities, calculate everything. (LONG_UNROLL is not - * included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = unsigned(captype::OUT_ALL)| unsigned(captype::CAP_ALL), - }; - /** \name Constructors - **********************************************************************/ - ///@{ - - /** - * Constructor for a geodesic line staring at latitude \e lat1, longitude - * \e lon1, and azimuth \e azi1 (all in degrees). - * - * @param[in] g A Geodesic object used to compute the necessary information - * about the GeodesicLine. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of NETGeographicLib::Mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * The NETGeographicLib::Mask values are - * - \e caps |= GeodesicLine::LATITUDE for the latitude \e lat2; this is - * added automatically; - * - \e caps |= GeodesicLine::LONGITUDE for the latitude \e lon2; - * - \e caps |= GeodesicLine::AZIMUTH for the latitude \e azi2; this is - * added automatically; - * - \e caps |= GeodesicLine::DISTANCE for the distance \e s12; - * - \e caps |= GeodesicLine::REDUCEDLENGTH for the reduced length \e m12; - * - \e caps |= GeodesicLine::GEODESICSCALE for the geodesic scales \e M12 - * and \e M21; - * - \e caps |= GeodesicLine::AREA for the area \e S12; - * - \e caps |= GeodesicLine::DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length; - * - \e caps |= GeodesicLine::ALL for all of the above. - * . - * The default value of \e caps is GeodesicLine::ALL. - * - * If the point is at a pole, the azimuth is defined by keeping \e lon1 - * fixed, writing \e lat1 = ±(90° − ε), and taking - * the limit ε → 0+. - **********************************************************************/ - GeodesicLine( Geodesic^ g, double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps ); - - /** - * A constructor which assumes the WGS84 ellipsoid. - **********************************************************************/ - GeodesicLine(double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps); - - /** - * A constructoe that accepts a reference to an unmanages GeodesicLin. - * FOR INTERNAL USE ONLY - **********************************************************************/ - GeodesicLine(const GeographicLib::GeodesicLine& gl); - ///@} - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~GeodesicLine() - { this->!GeodesicLine(); } - - /** \name Position in terms of distance - **********************************************************************/ - ///@{ - - /** - * Compute the position of point 2 which is a distance \e s12 (meters) from - * point 1. - * - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLine object was constructed with \e caps |= - * GeodesicLine::AREA. - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * The GeodesicLine object \e must have been constructed with \e caps |= - * GeodesicLine::DISTANCE_IN; otherwise Math::NaN() is returned and no - * parameters are set. Requesting a value which the GeodesicLine object is - * not capable of computing is not an error; the corresponding argument - * will not be altered. - * - * The following functions are overloaded versions of - * GeodesicLine::Position which omit some of the output parameters. Note, - * however, that the arc length is always computed and returned as the - * function value. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - ///@} - - /** \name Position in terms of arc length - **********************************************************************/ - ///@{ - - /** - * Compute the position of point 2 which is an arc length \e a12 (degrees) - * from point 1. - * - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLine object was constructed with \e caps |= - * NETGeographicLib::Mask::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters); requires - * that the GeodesicLine object was constructed with \e caps |= - * NETGeographicLib::Mask::DISTANCE. - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLine object was constructed with \e caps |= - * NETGeographicLib::Mask::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= NETGeographicLib::Mask::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= NETGeographicLib::Mask::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLine object was constructed with \e caps |= - * NETGeographicLib::Mask::AREA. - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * Requesting a value which the GeodesicLine object is not capable of - * computing is not an error; the corresponding argument will not be - * altered. - * - * The following functions are overloaded versions of - * GeodesicLine::ArcPosition which omit some of the output parameters. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12); - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - ///@} - - /** \name The general position function. - **********************************************************************/ - ///@{ - - /** - * The general position function. GeodesicLine::Position and - * GeodesicLine::ArcPosition are defined in terms of this function. - * - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter; if arcmode is false, then the GeodesicLine object must have - * been constructed with \e caps |= GeodesicLine::DISTANCE_IN. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param[in] outmask a bitor'ed combination of GeodesicLine::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters); requires - * that the GeodesicLine object was constructed with \e caps |= - * GeodesicLine::DISTANCE. - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLine object was constructed with \e caps |= - * GeodesicLine::AREA. - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The GeodesicLine::mask values possible for \e outmask are - * - \e outmask |= GeodesicLine::LATITUDE for the latitude \e lat2; - * - \e outmask |= GeodesicLine::LONGITUDE for the latitude \e lon2; - * - \e outmask |= GeodesicLine::AZIMUTH for the latitude \e azi2; - * - \e outmask |= GeodesicLine::DISTANCE for the distance \e s12; - * - \e outmask |= GeodesicLine::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= GeodesicLine::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= GeodesicLine::AREA for the area \e S12; - * - \e outmask |= GeodesicLine::ALL for all of the above; - * - \e outmask |= GeodesicLine::LONG_UNROLL to unroll \e lon2 instead of - * wrapping it into the range [−180°, 180°). - * . - * Requesting a value which the GeodesicLine object is not capable of - * computing is not an error; the corresponding argument will not be - * altered. Note, however, that the arc length is always computed and - * returned as the function value. - * - * With the LONG_UNROLL bit set, the quantity \e lon2 − \e lon1 - * indicates how many times and in what sense the geodesic encircles - * the ellipsoid. - **********************************************************************/ - double GenPosition(bool arcmode, double s12_a12, - GeodesicLine::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - ///@} - - /** \name Setting point 3 - **********************************************************************/ - ///@{ - - /** - * Specify position of point 3 in terms of distance. - * - * @param[in] s13 the distance from point 1 to point 3 (meters); it - * can be negative. - * - * This is only useful if the GeodesicLine object has been constructed - * with \e caps |= GeodesicLine::DISTANCE_IN. - **********************************************************************/ - void SetDistance(double s13); - - /** - * Specify position of point 3 in terms of arc length. - * - * @param[in] a13 the arc length from point 1 to point 3 (degrees); it - * can be negative. - * - * The distance \e s13 is only set if the GeodesicLine object has been - * constructed with \e caps |= GeodesicLine::DISTANCE. - **********************************************************************/ - void SetArc(double a13); - - /** - * Specify position of point 3 in terms of either distance or arc length. - * - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter; if \e arcmode is false, then the GeodesicLine object must - * have been constructed with \e caps |= GeodesicLine::DISTANCE_IN. - * @param[in] s13_a13 if \e arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - **********************************************************************/ - void GenSetDistance(bool arcmode, double s13_a13); - ///@} - - /** \name Trigonometric accessor functions - **********************************************************************/ - ///@{ - /** - * The sine and cosine of \e azi1. - * - * @param[out] sazi1 the sine of \e azi1. - * @param[out] cazi1 the cosine of \e azi1. - **********************************************************************/ - void AzimuthSinCos([System::Runtime::InteropServices::Out] double% sazi1, - [System::Runtime::InteropServices::Out] double% cazi1); - - /** - * The sine and cosine of \e azi0. - * - * @param[out] sazi0 the sine of \e azi0. - * @param[out] cazi0 the cosine of \e azi0. - **********************************************************************/ - void EquatorialAzimuthSinCos( - [System::Runtime::InteropServices::Out] double% sazi0, - [System::Runtime::InteropServices::Out] double% cazi0); - - /** - * The distance or arc length to point 3. - * - * @param[in] arcmode boolean flag determining the meaning of returned - * value. - * @return \e s13 if \e arcmode is false; \e a13 if \e arcmode is true. - **********************************************************************/ - double GenDistance(bool arcmode); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - - /** - * @return \e lat1 the latitude of point 1 (degrees). - **********************************************************************/ - property double Latitude { double get(); } - - /** - * @return \e lon1 the longitude of point 1 (degrees). - **********************************************************************/ - property double Longitude { double get(); } - - /** - * @return \e azi1 the azimuth (degrees) of the geodesic line at point 1. - **********************************************************************/ - property double Azimuth { double get(); } - - /** - * @return \e azi0 the azimuth (degrees) of the geodesic line as it crosses - * the equator in a northward direction. - **********************************************************************/ - property double EquatorialAzimuth { double get(); } - - /** - * @return \e a1 the arc length (degrees) between the northward equatorial - * crossing and point 1. - **********************************************************************/ - property double EquatorialArc { double get(); } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return \e s13, the distance to point 3 (meters). - **********************************************************************/ - property double Distance { double get(); } - - /** - * @return \e a13, the arc length to point 3 (degrees). - **********************************************************************/ - property double Arc { double get(); } - - /** - * @return \e caps the computational capabilities that this object was - * constructed with. LATITUDE and AZIMUTH are always included. - **********************************************************************/ - NETGeographicLib::Mask Capabilities(); - - /** - * @param[in] testcaps a set of bitor'ed GeodesicLine::mask values. - * @return true if the GeodesicLine object has all these capabilities. - **********************************************************************/ - bool Capabilities(GeodesicLine::mask testcaps); - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLineExact.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLineExact.cpp deleted file mode 100644 index 5351ac23a2bf1c589bdb7ae859c95e4d041cd0ad..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLineExact.cpp +++ /dev/null @@ -1,410 +0,0 @@ -/** - * \file NETGeographicLib/GeodesicLineExact.cpp - * \brief Implementation for NETGeographicLib::GeodesicLineExact class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/GeodesicLineExact.hpp" -#include "GeodesicLineExact.h" -#include "GeodesicExact.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::GeodesicLineExact"; - -//***************************************************************************** -GeodesicLineExact::!GeodesicLineExact(void) -{ - if ( m_pGeodesicLineExact != NULL ) - { - delete m_pGeodesicLineExact; - m_pGeodesicLineExact = NULL; - } -} - -//***************************************************************************** -GeodesicLineExact::GeodesicLineExact(GeodesicExact^ g, double lat1, - double lon1, double azi1, NETGeographicLib::Mask caps ) -{ - try - { - const GeographicLib::GeodesicExact* pGeodesicExact= - reinterpret_cast( - g->GetUnmanaged()->ToPointer() ); - m_pGeodesicLineExact = new GeographicLib::GeodesicLineExact( - *pGeodesicExact, lat1, lon1, azi1, static_cast(caps) ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -GeodesicLineExact::GeodesicLineExact( - const GeographicLib::GeodesicLineExact& gle) -{ - try - { - m_pGeodesicLineExact = new GeographicLib::GeodesicLineExact(gle); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr(BADALLOC); - } -} - -//***************************************************************************** -GeodesicLineExact::GeodesicLineExact(double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps) -{ - try - { - m_pGeodesicLineExact = new GeographicLib::GeodesicLineExact( - GeographicLib::GeodesicExact::WGS84(), lat1, lon1, azi1, - static_cast(caps) ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -double GeodesicLineExact::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21, lS12; - double out = m_pGeodesicLineExact->Position( s12, llat2, llon2, lazi2, - lm12, lM12, lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double GeodesicLineExact::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double llat2, llon2; - double out = m_pGeodesicLineExact->Position( s12, llat2, llon2); - lat2 = llat2; - lon2 = llon2; - return out; -} - -//***************************************************************************** -double GeodesicLineExact::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double llat2, llon2, lazi2; - double out = m_pGeodesicLineExact->Position( s12, llat2, llon2, lazi2); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - return out; -} - -//***************************************************************************** -double GeodesicLineExact::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12) -{ - double llat2, llon2, lazi2, lm12; - double out = m_pGeodesicLineExact->Position( s12, llat2, llon2, lazi2, - lm12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - return out; -} - -//***************************************************************************** -double GeodesicLineExact::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, lM12, lM21; - double out = m_pGeodesicLineExact->Position( s12, llat2, llon2, lazi2, - lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -double GeodesicLineExact::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, lm12, lM12, lM21; - double out = m_pGeodesicLineExact->Position( s12, llat2, llon2, lazi2, - lm12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - m12 = lm12; - M12 = lM12; - M21 = lM21; - return out; -} - -//***************************************************************************** -void GeodesicLineExact::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12; - m_pGeodesicLineExact->ArcPosition( a12, llat2, llon2, lazi2, ls12, - lm12, lM12, lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; -} - -//***************************************************************************** -void GeodesicLineExact::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double llat2, llon2; - m_pGeodesicLineExact->ArcPosition( a12, llat2, llon2 ); - lat2 = llat2; - lon2 = llon2; -} - -//***************************************************************************** -void GeodesicLineExact::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2) -{ - double llat2, llon2, lazi2; - m_pGeodesicLineExact->ArcPosition( a12, llat2, llon2, lazi2 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; -} - -//***************************************************************************** -void GeodesicLineExact::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12) -{ - double llat2, llon2, lazi2, ls12; - m_pGeodesicLineExact->ArcPosition( a12, llat2, llon2, lazi2, ls12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; -} - -//***************************************************************************** -void GeodesicLineExact::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12) -{ - double llat2, llon2, lazi2, ls12, lm12; - m_pGeodesicLineExact->ArcPosition( a12, llat2, llon2, lazi2, ls12, - lm12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; -} - -//***************************************************************************** -void GeodesicLineExact::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, ls12, lM12, lM21; - m_pGeodesicLineExact->ArcPosition( a12, llat2, llon2, lazi2, ls12, - lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - M12 = lM12; - M21 = lM21; -} - -//***************************************************************************** -void GeodesicLineExact::ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21; - m_pGeodesicLineExact->ArcPosition( a12, llat2, llon2, lazi2, ls12, - lm12, lM12, lM21 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; -} - -//***************************************************************************** -double GeodesicLineExact::GenPosition(bool arcmode, double s12_a12, - GeodesicLineExact::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12) -{ - double llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12; - double out = m_pGeodesicLineExact->GenPosition( arcmode, s12_a12, - static_cast(outmask), - llat2, llon2, lazi2, ls12, lm12, lM12, lM21, lS12 ); - lat2 = llat2; - lon2 = llon2; - azi2 = lazi2; - s12 = ls12; - m12 = lm12; - M12 = lM12; - M21 = lM21; - S12 = lS12; - return out; -} - -//***************************************************************************** -double GeodesicLineExact::Latitude::get() -{ return m_pGeodesicLineExact->Latitude(); } - -//***************************************************************************** -double GeodesicLineExact::Longitude::get() -{ return m_pGeodesicLineExact->Longitude(); } - -//***************************************************************************** -double GeodesicLineExact::Azimuth::get() -{ return m_pGeodesicLineExact->Azimuth(); } - -//***************************************************************************** -double GeodesicLineExact::EquatorialAzimuth::get() -{ return m_pGeodesicLineExact->EquatorialAzimuth(); } - -//***************************************************************************** -double GeodesicLineExact::EquatorialArc::get() -{ return m_pGeodesicLineExact->EquatorialArc(); } - -//***************************************************************************** -double GeodesicLineExact::EquatorialRadius::get() -{ return m_pGeodesicLineExact->EquatorialRadius(); } - -//***************************************************************************** -double GeodesicLineExact::Flattening::get() -{ return m_pGeodesicLineExact->Flattening(); } - -//***************************************************************************** -double GeodesicLineExact::Distance::get() -{ return m_pGeodesicLineExact->Distance(); } - -//***************************************************************************** -double GeodesicLineExact::Arc::get() -{ return m_pGeodesicLineExact->Arc(); } - -//***************************************************************************** -NETGeographicLib::Mask GeodesicLineExact::Capabilities() -{ return static_cast(m_pGeodesicLineExact->Capabilities()); } - -//***************************************************************************** -bool GeodesicLineExact::Capabilities(NETGeographicLib::Mask testcaps) -{ return m_pGeodesicLineExact->Capabilities(static_cast(testcaps)); } - -//***************************************************************************** -void GeodesicLineExact::SetDistance(double s13) -{ m_pGeodesicLineExact->SetDistance(s13); } - -//***************************************************************************** -void GeodesicLineExact::SetArc(double a13) -{ m_pGeodesicLineExact->SetArc(a13); } - -//***************************************************************************** -void GeodesicLineExact::GenSetDistance(bool arcmode, double s13_a13) -{ m_pGeodesicLineExact->GenSetDistance(arcmode, s13_a13); } - -//***************************************************************************** -void GeodesicLineExact::AzimuthSinCos(double% sazi1, double% cazi1) -{ - double x1, x2; - m_pGeodesicLineExact->Azimuth(x1, x2); - sazi1 = x1; - cazi1 = x2; -} - -//***************************************************************************** -void GeodesicLineExact::EquatorialAzimuthSinCos(double% sazi0, double% cazi0) -{ - double x1, x2; - m_pGeodesicLineExact->EquatorialAzimuth(x1, x2); - sazi0 = x1; - cazi0 = x2; -} - -//***************************************************************************** -double GeodesicLineExact::GenDistance(bool arcmode) -{ return m_pGeodesicLineExact->GenDistance(arcmode); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLineExact.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLineExact.h deleted file mode 100644 index 7b5101262f8df0782e038599c8c56a157083b848..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GeodesicLineExact.h +++ /dev/null @@ -1,630 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/GeodesicLineExact.h - * \brief Header for NETGeographicLib::GeodesicLineExact class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "NETGeographicLib.h" - -namespace NETGeographicLib -{ - ref class GeodesicExact; - /** - * \brief .NET wrapper for GeographicLib::GeodesicLineExact. - * - * This class allows .NET applications to access GeographicLib::GeodesicLineExact. - * - * GeodesicLineExact facilitates the determination of a series of points on a - * single geodesic. This is a companion to the GeodesicExact class. For - * additional information on this class see the documentation on the - * GeodesicLine class. - * - * C# Example: - * \include example-GeodesicLineExact.cs - * Managed C++ Example: - * \include example-GeodesicLineExact.cpp - * Visual Basic Example: - * \include example-GeodesicLineExact.vb - * - * INTERFACE DIFFERENCES:
- * A constructor has been provided that assumes WGS84 parameters. - * - * The following functions are implemented as properties: - * Latitude, Longitude, Azimuth, EquatorialAzimuth, EquatorialArc, - * EquatorialRadius, Distance, Arc, and Flattening. - * - * The constructors, GenPosition, and Capabilities functions accept the - * "capabilities mask" as a NETGeographicLib::Mask rather than an - * unsigned. The Capabilities function returns a NETGeographicLib::Mask - * rather than an unsigned. - * - * The overloaded Azimuth and EquatorialAzimuth functions that return - * the sin and cosine terms have been renamed AzimuthSinCos and - * EquatorialAzimuthSinCos, repectively. - **********************************************************************/ - public ref class GeodesicLineExact - { - private: - enum class captype { - CAP_NONE = 0U, - CAP_E = 1U<<0, - // Skip 1U<<1 for compatibility with Geodesic (not required) - CAP_D = 1U<<2, - CAP_H = 1U<<3, - CAP_C4 = 1U<<4, - CAP_ALL = 0x1FU, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80U, - OUT_MASK = 0xFF80U, // Includes LONG_UNROLL - }; - // a pointer to the GeographicLib::GeodesicLineExact. - GeographicLib::GeodesicLineExact* m_pGeodesicLineExact; - - // the finalizer frees the unmanaged memory when the object is destroyed. - !GeodesicLineExact(void); - public: - /** - * Bit masks for what calculations to do. These masks do double duty. - * They signify to the GeodesicLineExact::GeodesicLineExact constructor and - * to GeodesicExact::Line what capabilities should be included in the - * GeodesicLineExact object. They also specify which results to return in - * the general routines GeodesicExact::GenDirect and - * GeodesicExact::GenInverse routines. GeodesicLineExact::mask is a - * duplication of this enum. - **********************************************************************/ - enum class mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLineExact because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7 | unsigned(captype::CAP_NONE), - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8 | unsigned(captype::CAP_H), - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLineExact because this is - * included by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9 | unsigned(captype::CAP_NONE), - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10 | unsigned(captype::CAP_E), - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = 1U<<11 | unsigned(captype::CAP_E), - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = 1U<<12 | unsigned(captype::CAP_D), - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = 1U<<13 | unsigned(captype::CAP_D), - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14 | unsigned(captype::CAP_C4), - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * All capabilities, calculate everything. (LONG_UNROLL is not - * included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = unsigned(captype::OUT_ALL)| unsigned(captype::CAP_ALL), - }; - - /** \name Constructors - **********************************************************************/ - ///@{ - - /** - * Constructor for a geodesic line staring at latitude \e lat1, longitude - * \e lon1, and azimuth \e azi1 (all in degrees). - * - * @param[in] g A GeodesicExact object used to compute the necessary - * information about the GeodesicLineExact. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of NETGeographicLib::Mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * The NETGeographicLib::Mask values are - * - \e caps |= GeodesicLineExact::LATITUDE for the latitude \e lat2; this - * is added automatically; - * - \e caps |= NETGeographicLib::Mask::LONGITUDE for the latitude \e lon2; - * - \e caps |= NETGeographicLib::Mask::AZIMUTH for the latitude \e azi2; this is - * added automatically; - * - \e caps |= NETGeographicLib::Mask::DISTANCE for the distance \e s12; - * - \e caps |= NETGeographicLib::Mask::REDUCEDLENGTH for the reduced length \e - m12; - * - \e caps |= NETGeographicLib::Mask::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e caps |= NETGeographicLib::Mask::AREA for the area \e S12; - * - \e caps |= NETGeographicLib::Mask::DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length; - * - \e caps |= NETGeographicLib::Mask::ALL for all of the above. - * . - * - * If the point is at a pole, the azimuth is defined by keeping \e lon1 - * fixed, writing \e lat1 = ±(90° − ε), and taking - * the limit ε → 0+. - **********************************************************************/ - GeodesicLineExact(GeodesicExact^ g, double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps ); - - /** - * A default constructor which assumes the WGS84 ellipsoid. See - * constructor comments for details. - **********************************************************************/ - GeodesicLineExact(double lat1, double lon1, double azi1, - NETGeographicLib::Mask caps); - - /** - * This constructor accepts a reference to an unmanaged - * GeodesicLineExact. - * FOR INTERNAL USE ONLY. - **********************************************************************/ - GeodesicLineExact(const GeographicLib::GeodesicLineExact& gle); - ///@} - - /** - * The destructor calls the finalizer - **********************************************************************/ - ~GeodesicLineExact() - { this->!GeodesicLineExact(); } - - /** \name Position in terms of distance - **********************************************************************/ - ///@{ - - /** - * Compute the position of point 2 which is a distance \e s12 (meters) - * from point 1. - * - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * signed. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::AREA. - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * The GeodesicLineExact object \e must have been constructed with \e caps - * |= GeodesicLineExact::DISTANCE_IN; otherwise Math::NaN() is returned and - * no parameters are set. Requesting a value which the GeodesicLineExact - * object is not capable of computing is not an error; the corresponding - * argument will not be altered. - * - * The following functions are overloaded versions of - * GeodesicLineExact::Position which omit some of the output parameters. - * Note, however, that the arc length is always computed and returned as - * the function value. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - double Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - ///@} - - /** \name Position in terms of arc length - **********************************************************************/ - ///@{ - - /** - * Compute the position of point 2 which is an arc length \e a12 (degrees) - * from point 1. - * - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be signed. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::DISTANCE. - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::AREA. - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * Requesting a value which the GeodesicLineExact object is not capable of - * computing is not an error; the corresponding argument will not be - * altered. - * - * The following functions are overloaded versions of - * GeodesicLineExact::ArcPosition which omit some of the output parameters. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2); - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12); - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12); - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(double a12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21); - ///@} - - /** \name The general position function. - **********************************************************************/ - ///@{ - - /** - * The general position function. GeodesicLineExact::Position and - * GeodesicLineExact::ArcPosition are defined in terms of this function. - * - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter; if arcmode is false, then the GeodesicLineExact object must - * have been constructed with \e caps |= GeodesicLineExact::DISTANCE_IN. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be signed. - * @param[in] outmask a bitor'ed combination of GeodesicLineExact::mask - * values specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::DISTANCE. - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::AREA. - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The GeodesicLineExact::mask values possible for \e outmask are - * - \e outmask |= GeodesicLineExact::LATITUDE for the latitude \e lat2; - * - \e outmask |= GeodesicLineExact::LONGITUDE for the latitude \e lon2; - * - \e outmask |= GeodesicLineExact::AZIMUTH for the latitude \e azi2; - * - \e outmask |= GeodesicLineExact::DISTANCE for the distance \e s12; - * - \e outmask |= GeodesicLineExact::REDUCEDLENGTH for the reduced length - * \e m12; - * - \e outmask |= GeodesicLineExact::GEODESICSCALE for the geodesic scales - * \e M12 and \e M21; - * - \e outmask |= GeodesicLineExact::AREA for the area \e S12; - * - \e outmask |= GeodesicLineExact::ALL for all of the above; - * - \e outmask |= GeodesicLineExact::LONG_UNROLL to unroll \e lon2 instead - * of wrapping it into the range [−180°, 180°). - * . - * Requesting a value which the GeodesicLineExact object is not capable of - * computing is not an error; the corresponding argument will not be - * altered. Note, however, that the arc length is always computed and - * returned as the function value. - * - * With the LONG_UNROLL bit set, the quantity \e lon2 − \e lon1 - * indicates how many times and in what sense the geodesic encircles - * the ellipsoid. - **********************************************************************/ - double GenPosition(bool arcmode, double s12_a12, - GeodesicLineExact::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% azi2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% m12, - [System::Runtime::InteropServices::Out] double% M12, - [System::Runtime::InteropServices::Out] double% M21, - [System::Runtime::InteropServices::Out] double% S12); - - ///@} - - /** \name Setting point 3 - **********************************************************************/ - ///@{ - - /** - * Specify position of point 3 in terms of distance. - * - * @param[in] s13 the distance from point 1 to point 3 (meters); it - * can be negative. - * - * This is only useful if the GeodesicLineExact object has been constructed - * with \e caps |= GeodesicLineExact::DISTANCE_IN. - **********************************************************************/ - void SetDistance(double s13); - - /** - * Specify position of point 3 in terms of arc length. - * - * @param[in] a13 the arc length from point 1 to point 3 (degrees); it - * can be negative. - * - * The distance \e s13 is only set if the GeodesicLineExact object has been - * constructed with \e caps |= GeodesicLineExact::DISTANCE. - **********************************************************************/ - void SetArc(double a13); - - /** - * Specify position of point 3 in terms of either distance or arc length. - * - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter; if \e arcmode is false, then the GeodesicLineExact object - * must have been constructed with \e caps |= - * GeodesicLineExact::DISTANCE_IN. - * @param[in] s13_a13 if \e arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - **********************************************************************/ - void GenSetDistance(bool arcmode, double s13_a13); - - /** - * The distance or arc length to point 3. - * - * @param[in] arcmode boolean flag determining the meaning of returned - * value. - * @return \e s13 if \e arcmode is false; \e a13 if \e arcmode is true. - **********************************************************************/ - double GenDistance(bool arcmode); - ///@} - - /** \name Trigonometric accessor functions - **********************************************************************/ - ///@{ - /** - * The sine and cosine of \e azi1. - * - * @param[out] sazi1 the sine of \e azi1. - * @param[out] cazi1 the cosine of \e azi1. - **********************************************************************/ - void AzimuthSinCos( - [System::Runtime::InteropServices::Out] double% sazi1, - [System::Runtime::InteropServices::Out] double% cazi1); - - /** - * The sine and cosine of \e azi0. - * - * @param[out] sazi0 the sine of \e azi0. - * @param[out] cazi0 the cosine of \e azi0. - **********************************************************************/ - void EquatorialAzimuthSinCos( - [System::Runtime::InteropServices::Out] double% sazi0, - [System::Runtime::InteropServices::Out] double% cazi0); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e lat1 the latitude of point 1 (degrees). - **********************************************************************/ - property double Latitude { double get(); } - - /** - * @return \e lon1 the longitude of point 1 (degrees). - **********************************************************************/ - property double Longitude { double get(); } - - /** - * @return \e azi1 the azimuth (degrees) of the geodesic line at point 1. - **********************************************************************/ - property double Azimuth { double get(); } - - /** - * @return \e azi0 the azimuth (degrees) of the geodesic line as it crosses - * the equator in a northward direction. - **********************************************************************/ - property double EquatorialAzimuth { double get(); } - - /** - * @return \e a1 the arc length (degrees) between the northward equatorial - * crossing and point 1. - **********************************************************************/ - property double EquatorialArc { double get(); } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the GeodesicExact object used in the - * constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the GeodesicExact object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return \e s13, the distance to point 3 (meters). - **********************************************************************/ - property double Distance { double get(); } - - /** - * @return \e a13, the arc length to point 3 (degrees). - **********************************************************************/ - property double Arc { double get(); } - - /** - * @return \e caps the computational capabilities that this object was - * constructed with. LATITUDE and AZIMUTH are always included. - **********************************************************************/ - NETGeographicLib::Mask Capabilities(); - - /** - * @param[in] testcaps a set of bitor'ed GeodesicLineExact::mask values. - * @return true if the GeodesicLineExact object has all these capabilities. - **********************************************************************/ - bool Capabilities(NETGeographicLib::Mask testcaps); - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geohash.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geohash.cpp deleted file mode 100644 index 37a7dc048be5415e02cd29d5ae8d2d8d4a9c6b6f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geohash.cpp +++ /dev/null @@ -1,84 +0,0 @@ -/** - * \file NETGeographicLib/Geohash.cpp - * \brief Implementation for NETGeographicLib::Geohash class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Geohash.hpp" -#include "Geohash.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -void Geohash::Forward(double lat, double lon, int len, System::String^% geohash) -{ - try - { - std::string l; - GeographicLib::Geohash::Forward( lat, lon, len, l ); - geohash = gcnew System::String( l.c_str() ); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} - -//***************************************************************************** -void Geohash::Reverse(System::String^ geohash, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] int% len, - bool centerp ) -{ - try - { - double llat, llon; - int llen; - GeographicLib::Geohash::Reverse( StringConvert::ManagedToUnmanaged( geohash ), - llat, llon, llen, centerp ); - lat = llat; - lon = llon; - len = llen; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double Geohash::LatitudeResolution(int len) -{ - return GeographicLib::Geohash::LatitudeResolution( len ); -} - -//***************************************************************************** -double Geohash::LongitudeResolution(int len) -{ - return GeographicLib::Geohash::LongitudeResolution( len ); -} - -//***************************************************************************** -int Geohash::GeohashLength(double res) -{ - return GeographicLib::Geohash::GeohashLength( res ); -} - -//***************************************************************************** -int Geohash::GeohashLength(double latres, double lonres) -{ - return GeographicLib::Geohash::GeohashLength( latres, lonres ); -} - -//***************************************************************************** -int Geohash::DecimalPrecision(int len) -{ - return GeographicLib::Geohash::DecimalPrecision( len ); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geohash.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geohash.h deleted file mode 100644 index 7a67b8605542de11fef74c8907ce0e054655cd57..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geohash.h +++ /dev/null @@ -1,137 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/Geohash.h - * \brief Header for NETGeographicLib::Geohash class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::Geohash. - * - * Geohashes are described in - * - https://en.wikipedia.org/wiki/Geohash - * - http://geohash.org/ (this link is broken as of 2012-12-11) - * . - * They provide a compact string representation of a particular geographic - * location (expressed as latitude and longitude), with the property that if - * trailing characters are dropped from the string the geographic location - * remains nearby. - * - * C# Example: - * \include example-Geohash.cs - * Managed C++ Example: - * \include example-Geohash.cpp - * Visual Basic Example: - * \include example-Geohash.vb - **********************************************************************/ - public ref class Geohash - { - private: - // hide the constructor since all members of this class are static. - Geohash() {} - public: - - /** - * Convert from geographic coordinates to a geohash. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] len the length of the resulting geohash. - * @param[out] geohash the geohash. - * @exception GeographicErr if \e lat is not in [−90°, - * 90°]. - * @exception std::bad_alloc if memory for \e geohash can't be allocated. - * - * Internally, \e len is first put in the range [0, 18]. - * - * If \e lat or \e lon is NaN, the returned geohash is "nan". - **********************************************************************/ - static void Forward(double lat, double lon, int len, - [System::Runtime::InteropServices::Out] System::String^% geohash); - - /** - * Convert from a geohash to geographic coordinates. - * - * @param[in] geohash the geohash. - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] len the length of the geohash. - * @param[in] centerp if true (the default) return the center of the - * geohash location, otherwise return the south-west corner. - * @exception GeographicErr if \e geohash contains illegal characters. - * - * Only the first 18 characters for \e geohash are considered. The case of - * the letters in \e geohash is ignored. - * - * If the first three characters in \e geohash are "nan", then \e lat and - * \e lon are set to NaN. - **********************************************************************/ - static void Reverse(System::String^ geohash, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] int% len, - bool centerp); - - /** - * The latitude resolution of a geohash. - * - * @param[in] len the length of the geohash. - * @return the latitude resolution (degrees). - * - * Internally, \e len is first put in the range [0, 18]. - **********************************************************************/ - static double LatitudeResolution(int len); - - /** - * The longitude resolution of a geohash. - * - * @param[in] len the length of the geohash. - * @return the longitude resolution (degrees). - * - * Internally, \e len is first put in the range [0, 18]. - **********************************************************************/ - static double LongitudeResolution(int len); - - /** - * The geohash length required to meet a given geographic resolution. - * - * @param[in] res the minimum of resolution in latitude and longitude - * (degrees). - * @return geohash length. - * - * The returned length is in the range [0, 18]. - **********************************************************************/ - static int GeohashLength(double res); - - /** - * The geohash length required to meet a given geographic resolution. - * - * @param[in] latres the resolution in latitude (degrees). - * @param[in] lonres the resolution in longitude (degrees). - * @return geohash length. - * - * The returned length is in the range [0, 18]. - **********************************************************************/ - static int GeohashLength(double latres, double lonres); - - /** - * The decimal geographic precision required to match a given geohash - * length. This is the number of digits needed after decimal point in a - * decimal degrees representation. - * - * @param[in] len the length of the geohash. - * @return the decimal precision (may be negative). - * - * Internally, \e len is first put in the range [0, 18]. The returned - * decimal precision is in the range [−2, 12]. - **********************************************************************/ - static int DecimalPrecision(int len); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geoid.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geoid.cpp deleted file mode 100644 index 187132aaaa8741912e8d136041e40491401ee377..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geoid.cpp +++ /dev/null @@ -1,196 +0,0 @@ -/** - * \file NETGeographicLib/Geoid.cpp - * \brief Implementation for NETGeographicLib::Geoid class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Geoid.hpp" -#include "Geoid.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -Geoid::!Geoid(void) -{ - if ( m_pGeoid != NULL ) - { - delete m_pGeoid; - m_pGeoid = NULL; - } -} - -//***************************************************************************** -Geoid::Geoid(System::String^ name, System::String^ path, - bool cubic, bool threadsafe) -{ - if ( name == nullptr ) throw gcnew GeographicErr("name cannot be a null pointer."); - if ( path == nullptr ) throw gcnew GeographicErr("path cannot be a null pointer."); - try - { - m_pGeoid = new GeographicLib::Geoid( - StringConvert::ManagedToUnmanaged( name ), - StringConvert::ManagedToUnmanaged( path ), - cubic, threadsafe ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::Geoid" ); - } - catch ( const GeographicLib::GeographicErr& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} -//***************************************************************************** -void Geoid::CacheArea(double south, double west, double north, double east) -{ - try - { - m_pGeoid->CacheArea( south, west, north, east ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void Geoid::CacheAll() -{ - try - { - m_pGeoid->CacheAll(); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void Geoid::CacheClear() -{ - m_pGeoid->CacheClear(); -} - -//***************************************************************************** -double Geoid::Height(double lat, double lon) -{ - try - { - return m_pGeoid->operator()( lat, lon ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double Geoid::ConvertHeight(double lat, double lon, double h, - ConvertFlag d) -{ - try - { - return m_pGeoid->ConvertHeight( lat, lon, h, - static_cast(d) ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -System::String^ Geoid::DefaultGeoidPath() -{ - try - { - return StringConvert::UnmanagedToManaged( - GeographicLib::Geoid::DefaultGeoidPath() ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -System::String^ Geoid::DefaultGeoidName() -{ - try - { - return StringConvert::UnmanagedToManaged( - GeographicLib::Geoid::DefaultGeoidName() ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -System::String^ Geoid::Description::get() -{ return StringConvert::UnmanagedToManaged(m_pGeoid->Description()); } - -//***************************************************************************** -System::String^ Geoid::DateTime::get() -{ return StringConvert::UnmanagedToManaged(m_pGeoid->DateTime()); } - -//***************************************************************************** -System::String^ Geoid::GeoidFile::get() -{ return StringConvert::UnmanagedToManaged(m_pGeoid->GeoidFile()); } - -//***************************************************************************** -System::String^ Geoid::GeoidName::get() -{ return StringConvert::UnmanagedToManaged(m_pGeoid->GeoidName()); } - -//***************************************************************************** -System::String^ Geoid::GeoidDirectory::get() -{ return StringConvert::UnmanagedToManaged(m_pGeoid->GeoidDirectory()); } - -//***************************************************************************** -System::String^ Geoid::Interpolation::get() -{ return StringConvert::UnmanagedToManaged(m_pGeoid->Interpolation()); } - -//***************************************************************************** -double Geoid::MaxError::get() { return m_pGeoid->MaxError(); } - -//***************************************************************************** -double Geoid::RMSError::get() { return m_pGeoid->RMSError(); } - -//***************************************************************************** -double Geoid::Offset::get() { return m_pGeoid->Offset(); } - -//***************************************************************************** -double Geoid::Scale::get() { return m_pGeoid->Scale(); } - -//***************************************************************************** -bool Geoid::ThreadSafe::get() { return m_pGeoid->ThreadSafe(); } - -//***************************************************************************** -bool Geoid::Cache::get() { return m_pGeoid->Cache(); } - -//***************************************************************************** -double Geoid::CacheWest::get() { return m_pGeoid->CacheWest(); } - -//***************************************************************************** -double Geoid::CacheEast::get() { return m_pGeoid->CacheEast(); } - -//***************************************************************************** -double Geoid::CacheNorth::get() { return m_pGeoid->CacheNorth(); } - -//***************************************************************************** -double Geoid::CacheSouth::get() { return m_pGeoid->CacheSouth(); } - -//***************************************************************************** -double Geoid::EquatorialRadius::get() { return m_pGeoid->EquatorialRadius(); } - -//***************************************************************************** -double Geoid::Flattening::get() { return m_pGeoid->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geoid.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geoid.h deleted file mode 100644 index fb7871383788eeef9f9a0ab1170d5fb5a6ed4791..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Geoid.h +++ /dev/null @@ -1,352 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/Geoid.h - * \brief Header for NETGeographicLib::Geoid class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::Geoid. - * - * This class allows .NET applications to access GeographicLib::Geoid. - * - * This class evaluated the height of one of the standard geoids, EGM84, - * EGM96, or EGM2008 by bilinear or cubic interpolation into a rectangular - * grid of data. These geoid models are documented in - * - EGM84: - * http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html - * - EGM96: - * http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html - * - EGM2008: - * http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008 - * - * The geoids are defined in terms of spherical harmonics. However in order - * to provide a quick and flexible method of evaluating the geoid heights, - * this class evaluates the height by interpolation into a grid of - * precomputed values. - * - * The geoid height, \e N, can be used to convert a height above the - * ellipsoid, \e h, to the corresponding height above the geoid (roughly the - * height above mean sea level), \e H, using the relations - * - *    \e h = \e N + \e H; - *   \e H = −\e N + \e h. - * - * See \ref geoid for details of how to install the data sets, the data - * format, estimates of the interpolation errors, and how to use caching. - * - * This class is typically \e not thread safe in that a single instantiation - * cannot be safely used by multiple threads because of the way the object - * reads the data set and because it maintains a single-cell cache. If - * multiple threads need to calculate geoid heights they should all construct - * thread-local instantiations. Alternatively, set the optional \e - * threadsafe parameter to true in the constructor. This causes the - * constructor to read all the data into memory and to turn off the - * single-cell caching which results in a Geoid object which \e is thread - * safe. - * - * C# Example: - * \include example-Geoid.cs - * Managed C++ Example: - * \include example-Geoid.cpp - * Visual Basic Example: - * \include example-Geoid.vb - * - * INTERFACE DIFFERENCES:
- * The () operator has been replaced with Height method. - * - * The following functions are implemented as properties: - * Description, DateTime, GeoidFile, GeoidName, GeoidDirectory, - * Interpolation, MaxError, RMSError, Offset, Scale, ThreadSafe, - * Cache, CacheWest, CacheEast, CacheNorth, CacheSouth, EquatorialRadius, - * and Flattening. - **********************************************************************/ - public ref class Geoid - { - private: - // a pointer to the unmanaged GeographicLib::Geoid. - const GeographicLib::Geoid* m_pGeoid; - - // the finalizer frees hthe unmanaged memory when the object is destroyed. - !Geoid(void); - public: - /** - * Flags indicating conversions between heights above the geoid and heights - * above the ellipsoid. - **********************************************************************/ - enum class ConvertFlag { - /** - * The multiplier for converting from heights above the geoid to heights - * above the ellipsoid. - **********************************************************************/ - ELLIPSOIDTOGEOID = -1, - /** - * No conversion. - **********************************************************************/ - NONE = 0, - /** - * The multiplier for converting from heights above the ellipsoid to - * heights above the geoid. - **********************************************************************/ - GEOIDTOELLIPSOID = 1, - }; - - /** \name Setting up the geoid - **********************************************************************/ - ///@{ - /** - * Construct a geoid. - * - * @param[in] name the name of the geoid. - * @param[in] path (optional) directory for data file. - * @param[in] cubic (optional) interpolation method; false means bilinear, - * true (the default) means cubic. - * @param[in] threadsafe (optional), if true, construct a thread safe - * object. The default is false - * @exception GeographicErr if the data file cannot be found, is - * unreadable, or is corrupt. - * @exception GeographicErr if \e threadsafe is true but the memory - * necessary for caching the data can't be allocated. - * - * The data file is formed by appending ".pgm" to the name. If \e path is - * specified (and is non-empty), then the file is loaded from directory, \e - * path. Otherwise the path is given by DefaultGeoidPath(). If the \e - * threadsafe parameter is true, the data set is read into memory, the data - * file is closed, and single-cell caching is turned off; this results in a - * Geoid object which \e is thread safe. - **********************************************************************/ - Geoid(System::String^ name, System::String^ path, - bool cubic, bool threadsafe); - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~Geoid() - { this->!Geoid(); } - - /** - * Set up a cache. - * - * @param[in] south latitude (degrees) of the south edge of the cached area. - * @param[in] west longitude (degrees) of the west edge of the cached area. - * @param[in] north latitude (degrees) of the north edge of the cached area. - * @param[in] east longitude (degrees) of the east edge of the cached area. - * @exception GeographicErr if the memory necessary for caching the data - * can't be allocated (in this case, you will have no cache and can try - * again with a smaller area). - * @exception GeographicErr if there's a problem reading the data. - * @exception GeographicErr if this is called on a threadsafe Geoid. - * - * Cache the data for the specified "rectangular" area bounded by the - * parallels \e south and \e north and the meridians \e west and \e east. - * \e east is always interpreted as being east of \e west, if necessary by - * adding 360° to its value. \e south and \e north should be in - * the range [−90°, 90°]. - **********************************************************************/ - void CacheArea(double south, double west, double north, double east); - - /** - * Cache all the data. - * - * @exception GeographicErr if the memory necessary for caching the data - * can't be allocated (in this case, you will have no cache and can try - * again with a smaller area). - * @exception GeographicErr if there's a problem reading the data. - * @exception GeographicErr if this is called on a threadsafe Geoid. - * - * On most computers, this is fast for data sets with grid resolution of 5' - * or coarser. For a 1' grid, the required RAM is 450MB; a 2.5' grid needs - * 72MB; and a 5' grid needs 18MB. - **********************************************************************/ - void CacheAll(); - - /** - * Clear the cache. This never throws an error. (This does nothing with a - * thread safe Geoid.) - **********************************************************************/ - void CacheClear(); - - ///@} - - /** \name Compute geoid heights - **********************************************************************/ - ///@{ - /** - * Compute the geoid height at a point - * - * @param[in] lat latitude of the point (degrees). - * @param[in] lon longitude of the point (degrees). - * @exception GeographicErr if there's a problem reading the data; this - * never happens if (\e lat, \e lon) is within a successfully cached area. - * @return geoid height (meters). - * - * The latitude should be in [−90°, 90°]. - **********************************************************************/ - double Height(double lat, double lon); - - /** - * Convert a height above the geoid to a height above the ellipsoid and - * vice versa. - * - * @param[in] lat latitude of the point (degrees). - * @param[in] lon longitude of the point (degrees). - * @param[in] h height of the point (degrees). - * @param[in] d a Geoid::convertflag specifying the direction of the - * conversion; Geoid::GEOIDTOELLIPSOID means convert a height above the - * geoid to a height above the ellipsoid; Geoid::ELLIPSOIDTOGEOID means - * convert a height above the ellipsoid to a height above the geoid. - * @exception GeographicErr if there's a problem reading the data; this - * never happens if (\e lat, \e lon) is within a successfully cached area. - * @return converted height (meters). - **********************************************************************/ - double ConvertHeight(double lat, double lon, double h, - ConvertFlag d); - - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return geoid description, if available, in the data file; if - * absent, return "NONE". - **********************************************************************/ - property System::String^ Description { System::String^ get(); } - - /** - * @return date of the data file; if absent, return "UNKNOWN". - **********************************************************************/ - property System::String^ DateTime { System::String^ get(); } - - /** - * @return full file name used to load the geoid data. - **********************************************************************/ - property System::String^ GeoidFile { System::String^ get(); } - - /** - * @return "name" used to load the geoid data (from the first argument of - * the constructor). - **********************************************************************/ - property System::String^ GeoidName { System::String^ get(); } - - /** - * @return directory used to load the geoid data. - **********************************************************************/ - property System::String^ GeoidDirectory { System::String^ get(); } - - /** - * @return interpolation method ("cubic" or "bilinear"). - **********************************************************************/ - property System::String^ Interpolation { System::String^ get(); } - - /** - * @return estimate of the maximum interpolation and quantization error - * (meters). - * - * This relies on the value being stored in the data file. If the value is - * absent, return −1. - **********************************************************************/ - property double MaxError { double get(); } - - /** - * @return estimate of the RMS interpolation and quantization error - * (meters). - * - * This relies on the value being stored in the data file. If the value is - * absent, return −1. - **********************************************************************/ - property double RMSError { double get(); } - - /** - * @return offset (meters). - * - * This in used in converting from the pixel values in the data file to - * geoid heights. - **********************************************************************/ - property double Offset { double get(); } - - /** - * @return scale (meters). - * - * This in used in converting from the pixel values in the data file to - * geoid heights. - **********************************************************************/ - property double Scale { double get(); } - - /** - * @return true if the object is constructed to be thread safe. - **********************************************************************/ - property bool ThreadSafe { bool get(); } - - /** - * @return true if a data cache is active. - **********************************************************************/ - property bool Cache { bool get(); } - - /** - * @return west edge of the cached area; the cache includes this edge. - **********************************************************************/ - property double CacheWest { double get(); } - - /** - * @return east edge of the cached area; the cache excludes this edge. - **********************************************************************/ - property double CacheEast { double get(); } - - /** - * @return north edge of the cached area; the cache includes this edge. - **********************************************************************/ - property double CacheNorth { double get(); } - - /** - * @return south edge of the cached area; the cache excludes this edge - * unless it's the south pole. - **********************************************************************/ - property double CacheSouth { double get(); } - - /** - * @return \e a the equatorial radius of the WGS84 ellipsoid (meters). - * - * (The WGS84 value is returned because the supported geoid models are all - * based on this ellipsoid.) - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the WGS84 ellipsoid. - * - * (The WGS84 value is returned because the supported geoid models are all - * based on this ellipsoid.) - **********************************************************************/ - property double Flattening { double get(); } - ///@} - - /** - * @return the default path for geoid data files. - * - * This is the value of the environment variable - * GEOGRAPHICLIB_GEOID_PATH, if set; otherwise, it is - * $GEOGRAPHICLIB_DATA/geoids if the environment variable - * GEOGRAPHICLIB_DATA is set; otherwise, it is a compile-time default - * (/usr/local/share/GeographicLib/geoids on non-Windows systems and - * C:/ProgramData/GeographicLib/geoids on Windows systems). - **********************************************************************/ - static System::String^ DefaultGeoidPath(); - - /** - * @return the default name for the geoid. - * - * This is the value of the environment variable - * GEOGRAPHICLIB_GEOID_NAME, if set, otherwise, it is "egm96-5". The - * Geoid class does not use this function; it is just provided as a - * convenience for a calling program when constructing a Geoid object. - **********************************************************************/ - static System::String^ DefaultGeoidName(); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Georef.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Georef.cpp deleted file mode 100644 index f45ff79115b9290433717eeeab2847cb77577106..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Georef.cpp +++ /dev/null @@ -1,57 +0,0 @@ -/** - * \file NETGeographicLib/Georef.cpp - * \brief Source for NETGeographicLib::Georef class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013-2015) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Georef.hpp" -#include "Georef.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -void Georef::Forward(double lat, double lon, int prec, System::String^% georef) -{ - try - { - std::string l; - GeographicLib::Georef::Forward( lat, lon, prec, l ); - georef = gcnew System::String( l.c_str() ); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } -} - -//***************************************************************************** -void Georef::Reverse( System::String^ georef, double% lat, double% lon, - int% prec, bool centerp) -{ - try - { - double llat, llon; - int lprec; - GeographicLib::Georef::Reverse( StringConvert::ManagedToUnmanaged( georef ), - llat, llon, lprec, centerp ); - lat = llat; - lon = llon; - prec = lprec; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double Georef::Resolution(int prec) { return GeographicLib::Georef::Resolution(prec); } - -//***************************************************************************** -int Georef::Precision(double res) { return GeographicLib::Georef::Precision(res); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Georef.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Georef.h deleted file mode 100644 index b83e5eba08723df53d7659899c63907cfcf40d87..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Georef.h +++ /dev/null @@ -1,119 +0,0 @@ -/** - * \file NETGeographicLib/Georef.h - * \brief Header for NETGeographicLib::Georef class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013-2015) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::Georef. - * - * The World Geographic Reference System is described in - * - https://en.wikipedia.org/wiki/Georef - * - http://earth-info.nga.mil/GandG/coordsys/grids/georef.pdf - * . - * It provides a compact string representation of a geographic area - * (expressed as latitude and longitude). The classes GARS and Geohash - * implement similar compact representations. - * - * C# Example: - * \include example-Georef.cs - * Managed C++ Example: - * \include example-Georef.cpp - * Visual Basic Example: - * \include example-Georef.vb - **********************************************************************/ - public ref class Georef - { - private: - // hide the constructor since all members of this class are static. - Georef() {} - - public: - /** - * Convert from geographic coordinates to georef. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] prec the precision of the resulting georef. - * @param[out] georef the georef string. - * @exception GeographicErr if \e lat is not in [−90°, - * 90°] or if memory for \e georef can't be allocated. - * - * \e prec specifies the precision of \e georef as follows: - * - \e prec = −1 (min), 15° - * - \e prec = 0, 1° - * - \e prec = 1, converted to \e prec = 2 - * - \e prec = 2, 1' - * - \e prec = 3, 0.1' - * - \e prec = 4, 0.01' - * - \e prec = 5, 0.001' - * - … - * - \e prec = 11 (max), 10−9' - * - * If \e lat or \e lon is NaN, then \e georef is set to "INVALID". - **********************************************************************/ - static void Forward(double lat, double lon, int prec, - [System::Runtime::InteropServices::Out] System::String^% georef); - - /** - * Convert from Georef to geographic coordinates. - * - * @param[in] georef the Georef. - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] prec the precision of \e georef. - * @param[in] centerp if true (the default) return the center - * \e georef, otherwise return the south-west corner. - * @exception GeographicErr if \e georef is illegal. - * - * The case of the letters in \e georef is ignored. \e prec is in the - * range [−1, 11] and gives the precision of \e georef as follows: - * - \e prec = −1 (min), 15° - * - \e prec = 0, 1° - * - \e prec = 1, not returned - * - \e prec = 2, 1' - * - \e prec = 3, 0.1' - * - \e prec = 4, 0.01' - * - \e prec = 5, 0.001' - * - … - * - \e prec = 11 (max), 10−9' - * - * If the first 3 characters of \e georef are "INV", then \e lat and \e lon - * are set to NaN and \e prec is unchanged. - **********************************************************************/ - static void Reverse( System::String^ georef, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] int% prec, - bool centerp ); - - /** - * The angular resolution of a Georef. - * - * @param[in] prec the precision of the Georef. - * @return the latitude-longitude resolution (degrees). - * - * Internally, \e prec is first put in the range [−1, 11]. - **********************************************************************/ - static double Resolution(int prec); - - /** - * The Georef precision required to meet a given geographic resolution. - * - * @param[in] res the minimum of resolution in latitude and longitude - * (degrees). - * @return Georef precision. - * - * The returned length is in the range [0, 11]. - **********************************************************************/ - static int Precision(double res); - }; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Gnomonic.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Gnomonic.cpp deleted file mode 100644 index db54e62036078284ff735f5f8a91a56367dbde6b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Gnomonic.cpp +++ /dev/null @@ -1,116 +0,0 @@ -/** - * \file NETGeographicLib/Gnomonic.cpp - * \brief Implementation for NETGeographicLib::Gnomonic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Gnomonic.hpp" -#include "Gnomonic.h" -#include "Geodesic.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::Gnomonic"; - -//***************************************************************************** -Gnomonic::!Gnomonic(void) -{ - if ( m_pGnomonic != NULL ) - { - delete m_pGnomonic; - m_pGnomonic = NULL; - } -} - -//***************************************************************************** -Gnomonic::Gnomonic( Geodesic^ earth ) -{ - try - { - const GeographicLib::Geodesic* pGeodesic = - reinterpret_cast( - earth->GetUnmanaged()->ToPointer() ); - m_pGnomonic = new GeographicLib::Gnomonic( *pGeodesic ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -Gnomonic::Gnomonic() -{ - try - { - m_pGnomonic = new GeographicLib::Gnomonic( GeographicLib::Geodesic::WGS84() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void Gnomonic::Forward(double lat0, double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk) -{ - double lx, ly, lazi, lrk; - m_pGnomonic->Forward( lat0, lon0, lat, lon, lx, ly, lazi, lrk ); - x = lx; - y = ly; - azi = lazi; - rk = lrk; -} - -//***************************************************************************** -void Gnomonic::Reverse(double lat0, double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk) -{ - double llat, llon, lazi, lrk; - m_pGnomonic->Reverse( lat0, lon0, x, y, llat, llon, lazi, lrk ); - lat = llat; - lon = llon; - azi = lazi; - rk = lrk; -} - -//***************************************************************************** -void Gnomonic::Forward(double lat0, double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y) -{ - double lx, ly; - m_pGnomonic->Forward( lat0, lon0, lat, lon, lx, ly ); - x = lx; - y = ly; -} - -//***************************************************************************** -void Gnomonic::Reverse(double lat0, double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - m_pGnomonic->Reverse( lat0, lon0, x, y, llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double Gnomonic::EquatorialRadius::get() { return m_pGnomonic->EquatorialRadius(); } - -//***************************************************************************** -double Gnomonic::Flattening::get() { return m_pGnomonic->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Gnomonic.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Gnomonic.h deleted file mode 100644 index 1f96154ec8d02d1f8e6e369ada63c243f6aecfee..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Gnomonic.h +++ /dev/null @@ -1,218 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/Gnomonic.h - * \brief Header for NETGeographicLib::Gnomonic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class Geodesic; - /** - * \brief .NET wrapper for GeographicLib::Gnomonic. - * - * This class allows .NET applications to access GeographicLib::Gnomonic. - * - * %Gnomonic projection centered at an arbitrary position \e C on the - * ellipsoid. This projection is derived in Section 8 of - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * geod-addenda.html. - * . - * The projection of \e P is defined as follows: compute the geodesic line - * from \e C to \e P; compute the reduced length \e m12, geodesic scale \e - * M12, and ρ = m12/\e M12; finally \e x = ρ sin \e azi1; \e - * y = ρ cos \e azi1, where \e azi1 is the azimuth of the geodesic at \e - * C. The Gnomonic::Forward and Gnomonic::Reverse methods also return the - * azimuth \e azi of the geodesic at \e P and reciprocal scale \e rk in the - * azimuthal direction. The scale in the radial direction if - * 1/rk2. - * - * For a sphere, ρ is reduces to \e a tan(s12/a), where \e - * s12 is the length of the geodesic from \e C to \e P, and the gnomonic - * projection has the property that all geodesics appear as straight lines. - * For an ellipsoid, this property holds only for geodesics interesting the - * centers. However geodesic segments close to the center are approximately - * straight. - * - * Consider a geodesic segment of length \e l. Let \e T be the point on the - * geodesic (extended if necessary) closest to \e C the center of the - * projection and \e t be the distance \e CT. To lowest order, the maximum - * deviation (as a true distance) of the corresponding gnomonic line segment - * (i.e., with the same end points) from the geodesic is
- *
- * (K(T) - K(C)) - * l2 \e t / 32.
- *
- * where \e K is the Gaussian curvature. - * - * This result applies for any surface. For an ellipsoid of revolution, - * consider all geodesics whose end points are within a distance \e r of \e - * C. For a given \e r, the deviation is maximum when the latitude of \e C - * is 45°, when endpoints are a distance \e r away, and when their - * azimuths from the center are ± 45° or ± 135°. - * To lowest order in \e r and the flattening \e f, the deviation is \e f - * (r/2a)3 \e r. - * - * The conversions all take place using a Geodesic object (by default - * Geodesic::WGS84). For more information on geodesics see \ref geodesic. - * - * CAUTION: The definition of this projection for a sphere is - * standard. However, there is no standard for how it should be extended to - * an ellipsoid. The choices are: - * - Declare that the projection is undefined for an ellipsoid. - * - Project to a tangent plane from the center of the ellipsoid. This - * causes great ellipses to appear as straight lines in the projection; - * i.e., it generalizes the spherical great circle to a great ellipse. - * This was proposed by independently by Bowring and Williams in 1997. - * - Project to the conformal sphere with the constant of integration chosen - * so that the values of the latitude match for the center point and - * perform a central projection onto the plane tangent to the conformal - * sphere at the center point. This causes normal sections through the - * center point to appear as straight lines in the projection; i.e., it - * generalizes the spherical great circle to a normal section. This was - * proposed by I. G. Letoval'tsev, Generalization of the %Gnomonic - * Projection for a Spheroid and the Principal Geodetic Problems Involved - * in the Alignment of Surface Routes, Geodesy and Aerophotography (5), - * 271--274 (1963). - * - The projection given here. This causes geodesics close to the center - * point to appear as straight lines in the projection; i.e., it - * generalizes the spherical great circle to a geodesic. - * - * C# Example: - * \include example-Gnomonic.cs - * Managed C++ Example: - * \include example-Gnomonic.cpp - * Visual Basic Example: - * \include example-Gnomonic.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor has been provided that assumes WGS84 parameters. - * - * The EquatorialRadius and Flattening functions are implemented as properties. - **********************************************************************/ - public ref class Gnomonic - { - private: - // the pointer to the unmanaged GeographicLib::Gnomonic. - const GeographicLib::Gnomonic* m_pGnomonic; - - // The finalizer frees the unmanaged memory when the object is destroyed. - !Gnomonic(void); - public: - /** - * Constructor for Gnomonic. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - **********************************************************************/ - Gnomonic( Geodesic^ earth ); - - /** - * The default constructor assumes a WGS84 ellipsoid.. - **********************************************************************/ - Gnomonic(); - - /** - * The destructor calls the finalizer - **********************************************************************/ - ~Gnomonic() - { this->!Gnomonic(); } - - /** - * Forward projection, from geographic to gnomonic. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] azi azimuth of geodesic at point (degrees). - * @param[out] rk reciprocal of azimuthal scale at point. - * - * \e lat0 and \e lat should be in the range [−90°, 90°]. - * The scale of the projection is 1/rk2 in the - * "radial" direction, \e azi clockwise from true north, and is 1/\e rk - * in the direction perpendicular to this. If the point lies "over the - * horizon", i.e., if \e rk ≤ 0, then NaNs are returned for \e x and - * \e y (the correct values are returned for \e azi and \e rk). A call - * to Forward followed by a call to Reverse will return the original - * (\e lat, \e lon) (to within roundoff) provided the point in not over - * the horizon. - **********************************************************************/ - void Forward(double lat0, double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk); - - /** - * Reverse projection, from gnomonic to geographic. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] azi azimuth of geodesic at point (degrees). - * @param[out] rk reciprocal of azimuthal scale at point. - * - * \e lat0 should be in the range [−90°, 90°]. \e lat - * will be in the range [−90°, 90°] and \e lon will be in - * the range [−180°, 180°). The scale of the projection - * is 1/\e rk2 in the "radial" direction, \e azi clockwise - * from true north, and is 1/\e rk in the direction perpendicular to - * this. Even though all inputs should return a valid \e lat and \e - * lon, it's possible that the procedure fails to converge for very - * large \e x or \e y; in this case NaNs are returned for all the - * output arguments. A call to Reverse followed by a call to Forward - * will return the original (\e x, \e y) (to roundoff). - **********************************************************************/ - void Reverse(double lat0, double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% azi, - [System::Runtime::InteropServices::Out] double% rk); - - /** - * Gnomonic::Forward without returning the azimuth and scale. - **********************************************************************/ - void Forward(double lat0, double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * Gnomonic::Reverse without returning the azimuth and scale. - **********************************************************************/ - void Reverse(double lat0, double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityCircle.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityCircle.cpp deleted file mode 100644 index 004a8e99f13efc22276fc1b493c4b8b1dea02a13..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityCircle.cpp +++ /dev/null @@ -1,178 +0,0 @@ -/** - * \file NETGeographicLib/GravityCircle.cpp - * \brief Implementation for NETGeographicLib::GravityCircle class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/GravityCircle.hpp" -#include "GravityModel.h" -#include "GravityCircle.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -GravityCircle::!GravityCircle(void) -{ - if ( m_pGravityCircle != NULL ) - { - delete m_pGravityCircle; - m_pGravityCircle = NULL; - } -} - -//***************************************************************************** -GravityCircle::GravityCircle( const GeographicLib::GravityCircle& gc ) -{ - try - { - m_pGravityCircle = new GeographicLib::GravityCircle(gc); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::GravityCircle" ); - } -} - -//***************************************************************************** -double GravityCircle::Gravity(double lon, - [System::Runtime::InteropServices::Out] double% gx, - [System::Runtime::InteropServices::Out] double% gy, - [System::Runtime::InteropServices::Out] double% gz) -{ - double lgx, lgy, lgz; - double out = m_pGravityCircle->Gravity( lon, lgx, lgy, lgz ); - gx = lgx; - gy = lgy; - gz = lgz; - return out; -} - -//***************************************************************************** -double GravityCircle::Disturbance(double lon, - [System::Runtime::InteropServices::Out] double% deltax, - [System::Runtime::InteropServices::Out] double% deltay, - [System::Runtime::InteropServices::Out] double% deltaz) -{ - double ldeltax, ldeltay, ldeltaz; - double out = m_pGravityCircle->Disturbance( lon, ldeltax, ldeltay, ldeltaz ); - deltax = ldeltax; - deltay = ldeltay; - deltaz = ldeltaz; - return out; -} - -//***************************************************************************** -double GravityCircle::GeoidHeight(double lon) -{ - return m_pGravityCircle->GeoidHeight( lon ); -} - -//***************************************************************************** -void GravityCircle::SphericalAnomaly(double lon, - [System::Runtime::InteropServices::Out] double% Dg01, - [System::Runtime::InteropServices::Out] double% xi, - [System::Runtime::InteropServices::Out] double% eta) -{ - double lDg01, lxi, leta; - m_pGravityCircle->SphericalAnomaly( lon, lDg01, lxi, leta ); - Dg01 = lDg01; - xi = lxi; - eta = leta; -} - -//***************************************************************************** -double GravityCircle::W(double lon, - [System::Runtime::InteropServices::Out] double% gX, - [System::Runtime::InteropServices::Out] double% gY, - [System::Runtime::InteropServices::Out] double% gZ) -{ - double lgx, lgy, lgz; - double out = m_pGravityCircle->W( lon, lgx, lgy, lgz ); - gX = lgx; - gY = lgy; - gZ = lgz; - return out; -} - -//***************************************************************************** -double GravityCircle::V(double lon, - [System::Runtime::InteropServices::Out] double% GX, - [System::Runtime::InteropServices::Out] double% GY, - [System::Runtime::InteropServices::Out] double% GZ) -{ - double lgx, lgy, lgz; - double out = m_pGravityCircle->V( lon, lgx, lgy, lgz ); - GX = lgx; - GY = lgy; - GZ = lgz; - return out; -} - -//***************************************************************************** -double GravityCircle::T(double lon, - [System::Runtime::InteropServices::Out] double% deltaX, - [System::Runtime::InteropServices::Out] double% deltaY, - [System::Runtime::InteropServices::Out] double% deltaZ) -{ - double lgx, lgy, lgz; - double out = m_pGravityCircle->T( lon, lgx, lgy, lgz ); - deltaX = lgx; - deltaY = lgy; - deltaZ = lgz; - return out; -} - -//***************************************************************************** -double GravityCircle::T(double lon) -{ - return m_pGravityCircle->T( lon ); -} - -//***************************************************************************** -double GravityCircle::EquatorialRadius::get() -{ - if ( m_pGravityCircle->Init() ) - return m_pGravityCircle->EquatorialRadius(); - throw gcnew GeographicErr("GravityCircle::EquatorialRadius failed because the GravityCircle is not initialized."); -} - -//***************************************************************************** -double GravityCircle::Flattening::get() -{ - if ( m_pGravityCircle->Init() ) - return m_pGravityCircle->Flattening(); - throw gcnew GeographicErr("GravityCircle::Flattening failed because the GravityCircle is not initialized."); -} - -//***************************************************************************** -double GravityCircle::Latitude::get() -{ - if ( m_pGravityCircle->Init() ) - return m_pGravityCircle->Latitude(); - throw gcnew GeographicErr("GravityCircle::Latitude failed because the GravityCircle is not initialized."); -} - -//***************************************************************************** -double GravityCircle::Height::get() -{ - if ( m_pGravityCircle->Init() ) - return m_pGravityCircle->Height(); - throw gcnew GeographicErr("GravityCircle::Height failed because the GravityCircle is not initialized."); -} - -//***************************************************************************** -bool GravityCircle::Init::get() { return m_pGravityCircle->Init(); } - -//***************************************************************************** -GravityModel::Mask GravityCircle::Capabilities() -{ return static_cast(m_pGravityCircle->Capabilities()); } - -//***************************************************************************** -bool GravityCircle::Capabilities(GravityModel::Mask testcaps) -{ return m_pGravityCircle->Capabilities( (unsigned int)testcaps ); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityCircle.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityCircle.h deleted file mode 100644 index 19f2caca9a4ec49ae62570e88fe95f9221167eb4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityCircle.h +++ /dev/null @@ -1,259 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/GravityCircle.h - * \brief Header for NETGeographicLib::GravityCircle class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::GravityCircle. - * - * This class allows .NET applications to access GeographicLib::GravityCircle. - * - * Evaluate the earth's gravity field on a circle of constant height and - * latitude. This uses a CircularEngine to pre-evaluate the inner sum of the - * spherical harmonic sum, allowing the values of the field at several - * different longitudes to be evaluated rapidly. - * - * Use GravityModel::Circle to create a GravityCircle object. (The - * constructor for this class is private.) - * - * See \ref gravityparallel for an example of using GravityCircle (together - * with OpenMP) to speed up the computation of geoid heights. - * - * C# Example: - * \include example-GravityCircle.cs - * Managed C++ Example: - * \include example-GravityCircle.cpp - * Visual Basic Example: - * \include example-GravityCircle.vb - * - * INTERFACE DIFFERENCES:
- * The following functions are implemented as properties: - * Init, EquatorialRadius, Flattening, Latitude, and Height. - * - * The Capabilities functions accept and return the "capabilities mask" - * as a NETGeographicLib::GravityModel::Mask rather than an unsigned. - **********************************************************************/ - public ref class GravityCircle - { - private: - // the pointer to the unmanaged GeographicLib::GravityCircle. - const GeographicLib::GravityCircle* m_pGravityCircle; - - // the finalizer frees the unmanaged memory when the object is destroyed. - !GravityCircle(void); - public: - /** - * A constructor that is initialized from an unmanaged - * GeographicLib::GravityCircle. For internal use only. Developers - * should use GravityModel::Circle to create a GavityCircle object. - **********************************************************************/ - GravityCircle( const GeographicLib::GravityCircle& gc ); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~GravityCircle() - { this->!GravityCircle(); } - - /** \name Compute the gravitational field - **********************************************************************/ - ///@{ - /** - * Evaluate the gravity. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] gx the easterly component of the acceleration - * (m s−2). - * @param[out] gy the northerly component of the acceleration - * (m s−2). - * @param[out] gz the upward component of the acceleration - * (m s−2); this is usually negative. - * @return \e W the sum of the gravitational and centrifugal potentials. - * - * The function includes the effects of the earth's rotation. - **********************************************************************/ - double Gravity(double lon, - [System::Runtime::InteropServices::Out] double% gx, - [System::Runtime::InteropServices::Out] double% gy, - [System::Runtime::InteropServices::Out] double% gz); - - /** - * Evaluate the gravity disturbance vector. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] deltax the easterly component of the disturbance vector - * (m s−2). - * @param[out] deltay the northerly component of the disturbance vector - * (m s−2). - * @param[out] deltaz the upward component of the disturbance vector - * (m s−2). - * @return \e T the corresponding disturbing potential. - **********************************************************************/ - double Disturbance(double lon, - [System::Runtime::InteropServices::Out] double% deltax, - [System::Runtime::InteropServices::Out] double% deltay, - [System::Runtime::InteropServices::Out] double% deltaz); - - /** - * Evaluate the geoid height. - * - * @param[in] lon the geographic longitude (degrees). - * @return \e N the height of the geoid above the reference ellipsoid - * (meters). - * - * Some approximations are made in computing the geoid height so that the - * results of the NGA codes are reproduced accurately. Details are given - * in \ref gravitygeoid. - **********************************************************************/ - double GeoidHeight(double lon); - - /** - * Evaluate the components of the gravity anomaly vector using the - * spherical approximation. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] Dg01 the gravity anomaly (m s−2). - * @param[out] xi the northerly component of the deflection of the vertical - * (degrees). - * @param[out] eta the easterly component of the deflection of the vertical - * (degrees). - * - * The spherical approximation (see Heiskanen and Moritz, Sec 2-14) is used - * so that the results of the NGA codes are reproduced accurately. - * approximations used here. Details are given in \ref gravitygeoid. - **********************************************************************/ - void SphericalAnomaly(double lon, - [System::Runtime::InteropServices::Out] double% Dg01, - [System::Runtime::InteropServices::Out] double% xi, - [System::Runtime::InteropServices::Out] double% eta); - - /** - * Evaluate the components of the acceleration due to gravity and the - * centrifugal acceleration in geocentric coordinates. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] gX the \e X component of the acceleration - * (m s−2). - * @param[out] gY the \e Y component of the acceleration - * (m s−2). - * @param[out] gZ the \e Z component of the acceleration - * (m s−2). - * @return \e W = \e V + Φ the sum of the gravitational and - * centrifugal potentials (m2 s−2). - **********************************************************************/ - double W(double lon, - [System::Runtime::InteropServices::Out] double% gX, - [System::Runtime::InteropServices::Out] double% gY, - [System::Runtime::InteropServices::Out] double% gZ); - - /** - * Evaluate the components of the acceleration due to gravity in geocentric - * coordinates. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] GX the \e X component of the acceleration - * (m s−2). - * @param[out] GY the \e Y component of the acceleration - * (m s−2). - * @param[out] GZ the \e Z component of the acceleration - * (m s−2). - * @return \e V = \e W - Φ the gravitational potential - * (m2 s−2). - **********************************************************************/ - double V(double lon, - [System::Runtime::InteropServices::Out] double% GX, - [System::Runtime::InteropServices::Out] double% GY, - [System::Runtime::InteropServices::Out] double% GZ); - - /** - * Evaluate the components of the gravity disturbance in geocentric - * coordinates. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] deltaX the \e X component of the gravity disturbance - * (m s−2). - * @param[out] deltaY the \e Y component of the gravity disturbance - * (m s−2). - * @param[out] deltaZ the \e Z component of the gravity disturbance - * (m s−2). - * @return \e T = \e W - \e U the disturbing potential (also called the - * anomalous potential) (m2 s−2). - **********************************************************************/ - double T(double lon, - [System::Runtime::InteropServices::Out] double% deltaX, - [System::Runtime::InteropServices::Out] double% deltaY, - [System::Runtime::InteropServices::Out] double% deltaZ); - - /** - * Evaluate disturbing potential in geocentric coordinates. - * - * @param[in] lon the geographic longitude (degrees). - * @return \e T = \e W - \e U the disturbing potential (also called the - * anomalous potential) (m2 s−2). - **********************************************************************/ - double T(double lon); - - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return true if the object has been initialized. - **********************************************************************/ - property bool Init { bool get(); } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the GravityModel object used in the - * constructor. - * This property throws an exception if the GravityCircles has not - * been initialized. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the GravityModel object used in the constructor. - * This property throws an exception if the GravityCircles has not - * been initialized. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return the latitude of the circle (degrees). - * This property throws an exception if the GravityCircles has not - * been initialized. - **********************************************************************/ - property double Latitude { double get(); } - - /** - * @return the height of the circle (meters). - * This property throws an exception if the GravityCircles has not - * been initialized. - **********************************************************************/ - property double Height { double get(); } - - /** - * @return \e caps the computational capabilities that this object was - * constructed with. - **********************************************************************/ - GravityModel::Mask Capabilities(); - - /** - * @param[in] testcaps a set of bitor'ed GeodesicLine::mask values. - * @return true if the GeodesicLine object has all these capabilities. - **********************************************************************/ - bool Capabilities(GravityModel::Mask testcaps); - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityModel.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityModel.cpp deleted file mode 100644 index bd8215d558821e5d6aa3e432442fdc445324bc19..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityModel.cpp +++ /dev/null @@ -1,266 +0,0 @@ -/** - * \file NETGeographicLib/GravityModel.cpp - * \brief Implementation for NETGeographicLib::GravityModel class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/GravityModel.hpp" -#include "GravityModel.h" -#include "GeographicLib/GravityCircle.hpp" -#include "GravityCircle.h" -#include "NormalGravity.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -GravityModel::!GravityModel(void) -{ - if ( m_pGravityModel != NULL ) - { - delete m_pGravityModel; - m_pGravityModel = NULL; - } -} - -//***************************************************************************** -GravityModel::GravityModel(System::String^ name, System::String^ path) -{ - if ( name == nullptr ) throw gcnew GeographicErr("name cannot be a null pointer."); - if ( path == nullptr ) throw gcnew GeographicErr("path cannot be a null pointer."); - try - { - m_pGravityModel = new GeographicLib::GravityModel( - StringConvert::ManagedToUnmanaged( name ), - StringConvert::ManagedToUnmanaged( path )); - } - catch ( std::bad_alloc err ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::GravityModel" ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double GravityModel::Gravity(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% gx, - [System::Runtime::InteropServices::Out] double% gy, - [System::Runtime::InteropServices::Out] double% gz) -{ - double lgx, lgy, lgz; - double out = m_pGravityModel->Gravity( lat, lon, h, lgx, lgy, lgz ); - gx = lgx; - gy = lgy; - gz = lgz; - return out; -} - -//***************************************************************************** -double GravityModel::Disturbance(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% deltax, - [System::Runtime::InteropServices::Out] double% deltay, - [System::Runtime::InteropServices::Out] double% deltaz) -{ - double lgx, lgy, lgz; - double out = m_pGravityModel->Disturbance( lat, lon, h, lgx, lgy, lgz ); - deltax = lgx; - deltay = lgy; - deltaz = lgz; - return out; -} - -//***************************************************************************** -double GravityModel::GeoidHeight(double lat, double lon) -{ - return m_pGravityModel->GeoidHeight( lat, lon ); -} - -//***************************************************************************** -void GravityModel::SphericalAnomaly(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% Dg01, - [System::Runtime::InteropServices::Out] double% xi, - [System::Runtime::InteropServices::Out] double% eta) -{ - double lgx, lgy, lgz; - m_pGravityModel->SphericalAnomaly( lat, lon, h, lgx, lgy, lgz ); - Dg01 = lgx; - xi = lgy; - eta = lgz; -} - -//***************************************************************************** -double GravityModel::W(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% gX, - [System::Runtime::InteropServices::Out] double% gY, - [System::Runtime::InteropServices::Out] double% gZ) -{ - double lgx, lgy, lgz; - double out = m_pGravityModel->W( X, Y, Z, lgx, lgy, lgz ); - gX = lgx; - gY = lgy; - gZ = lgz; - return out; -} - -//***************************************************************************** -double GravityModel::V(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% GX, - [System::Runtime::InteropServices::Out] double% GY, - [System::Runtime::InteropServices::Out] double% GZ) -{ - double lgx, lgy, lgz; - double out = m_pGravityModel->V( X, Y, Z, lgx, lgy, lgz ); - GX = lgx; - GY = lgy; - GZ = lgz; - return out; -} - -//***************************************************************************** -double GravityModel::T(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% deltaX, - [System::Runtime::InteropServices::Out] double% deltaY, - [System::Runtime::InteropServices::Out] double% deltaZ) -{ - double lgx, lgy, lgz; - double out = m_pGravityModel->T( X, Y, Z, lgx, lgy, lgz ); - deltaX = lgx; - deltaY = lgy; - deltaZ = lgz; - return out; -} - -//***************************************************************************** -double GravityModel::T(double X, double Y, double Z) -{ - return m_pGravityModel->T( X, Y, Z ); -} - -//***************************************************************************** -double GravityModel::U(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% gammaX, - [System::Runtime::InteropServices::Out] double% gammaY, - [System::Runtime::InteropServices::Out] double% gammaZ) -{ - double lgx, lgy, lgz; - double out = m_pGravityModel->U( X, Y, Z, lgx, lgy, lgz ); - gammaX = lgx; - gammaY = lgy; - gammaZ = lgz; - return out; -} - -//***************************************************************************** -double GravityModel::Phi(double X, double Y, - [System::Runtime::InteropServices::Out] double% fX, - [System::Runtime::InteropServices::Out] double% fY) -{ - double lgx, lgy; - double out = m_pGravityModel->Phi( X, Y, lgx, lgy ); - fX = lgx; - fY = lgy; - return out; -} - -//***************************************************************************** -GravityCircle^ GravityModel::Circle(double lat, double h, Mask caps ) -{ - try - { - return gcnew GravityCircle( m_pGravityModel->Circle( lat, h, (unsigned)caps ) ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -System::String^ GravityModel::Description::get() -{ - return StringConvert::UnmanagedToManaged( m_pGravityModel->Description() ); -} - -//***************************************************************************** -System::String^ GravityModel::DateTime::get() -{ - return StringConvert::UnmanagedToManaged( m_pGravityModel->DateTime() ); -} - -//***************************************************************************** -System::String^ GravityModel::GravityFile::get() -{ - return StringConvert::UnmanagedToManaged( m_pGravityModel->GravityFile() ); -} - -//***************************************************************************** -System::String^ GravityModel::GravityModelName::get() -{ - return StringConvert::UnmanagedToManaged( m_pGravityModel->GravityModelName() ); -} - -//***************************************************************************** -System::String^ GravityModel::GravityModelDirectory::get() -{ - return StringConvert::UnmanagedToManaged( m_pGravityModel->GravityModelDirectory() ); -} - -//***************************************************************************** -System::String^ GravityModel::DefaultGravityPath() -{ - try - { - return StringConvert::UnmanagedToManaged( GeographicLib::GravityModel::DefaultGravityPath() ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -System::String^ GravityModel::DefaultGravityName() -{ - try - { - return StringConvert::UnmanagedToManaged( GeographicLib::GravityModel::DefaultGravityName() ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -NormalGravity^ GravityModel::ReferenceEllipsoid() -{ - return gcnew NormalGravity( m_pGravityModel->ReferenceEllipsoid() ); -} - -//***************************************************************************** -double GravityModel::EquatorialRadius::get() -{ return m_pGravityModel->EquatorialRadius(); } - -//***************************************************************************** -double GravityModel::MassConstant::get() -{ return m_pGravityModel->MassConstant(); } - -//***************************************************************************** -double GravityModel::ReferenceMassConstant::get() -{ return m_pGravityModel->ReferenceMassConstant(); } - -//***************************************************************************** -double GravityModel::AngularVelocity::get() -{ return m_pGravityModel->AngularVelocity(); } - -//***************************************************************************** -double GravityModel::Flattening::get() -{ return m_pGravityModel->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityModel.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityModel.h deleted file mode 100644 index 00000a692ea0154658ff52bd9d8562a99acb3fe4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/GravityModel.h +++ /dev/null @@ -1,512 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/GravityModel.h - * \brief Header for NETGeographicLib::GravityModel class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class GravityCircle; - ref class NormalGravity; - /** - * \brief .NET wrapper for GeographicLib::GravityModel. - * - * This class allows .NET applications to access GeographicLib::GravityModel. - * - * Evaluate the earth's gravity field according to a model. The supported - * models treat only the gravitational field exterior to the mass of the - * earth. When computing the field at points near (but above) the surface of - * the earth a small correction can be applied to account for the mass of the - * atomsphere above the point in question; see \ref gravityatmos. - * Determining the geoid height entails correcting for the mass of the earth - * above the geoid. The egm96 and egm2008 include separate correction terms - * to account for this mass. - * - * Definitions and terminology (from Heiskanen and Moritz, Sec 2-13): - * - \e V = gravitational potential; - * - Φ = rotational potential; - * - \e W = \e V + Φ = \e T + \e U = total potential; - * - V0 = normal gravitation potential; - * - \e U = V0 + Φ = total normal potential; - * - \e T = \e W − \e U = \e V − V0 = anomalous - * or disturbing potential; - * - g = ∇\e W = γ + δ; - * - f = ∇Φ; - * - Γ = ∇V0; - * - γ = ∇\e U; - * - δ = ∇\e T = gravity disturbance vector - * = gP − γP; - * - δ\e g = gravity disturbance = \e gP − - * γP; - * - Δg = gravity anomaly vector = gP - * − γQ; here the line \e PQ is - * perpendicular to ellipsoid and the potential at \e P equals the normal - * potential at \e Q; - * - Δ\e g = gravity anomaly = \e gP − - * γQ; - * - (ξ, η) deflection of the vertical, the difference in - * directions of gP and - * γQ, ξ = NS, η = EW. - * - \e X, \e Y, \e Z, geocentric coordinates; - * - \e x, \e y, \e z, local cartesian coordinates used to denote the east, - * north and up directions. - * - * See \ref gravity for details of how to install the gravity model and the - * data format. - * - * References: - * - W. A. Heiskanen and H. Moritz, Physical Geodesy (Freeman, San - * Francisco, 1967). - * - * C# Example: - * \include example-GravityModel.cs - * Managed C++ Example: - * \include example-GravityModel.cpp - * Visual Basic Example: - * \include example-GravityModel.vb - * - * INTERFACE DIFFERENCES:
- * The following functions are implemented as properties: - * Description, DateTime, GravityFile, GravityModelName, - * GravityModelDirectory, EquatorialRadius, MassConstant, - * ReferenceMassConstant, AngularVelocity, and Flattening. - * - * The Circle function accepts the "capabilities mask" as a - * NETGeographicLib::GravityModel::Mask rather than an unsigned. - **********************************************************************/ - public ref class GravityModel - { - private: - // pointer to the unmanaged GeographicLib::GravityModel. - const GeographicLib::GravityModel* m_pGravityModel; - - // the finalizer frees the unmanaged memory when the object is destroyed. - !GravityModel(void); - - enum class CapType { - CAP_NONE = 0U, - CAP_G = 1U<<0, // implies potentials W and V - CAP_T = 1U<<1, - CAP_DELTA = 1U<<2 | CapType::CAP_T, // delta implies T? - CAP_C = 1U<<3, - CAP_GAMMA0 = 1U<<4, - CAP_GAMMA = 1U<<5, - CAP_ALL = 0x3FU, - }; - - public: - - /** - * Bit masks for the capabilities to be given to the GravityCircle object - * produced by Circle. - **********************************************************************/ - enum class Mask { - /** - * No capabilities. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Allow calls to GravityCircle::Gravity, GravityCircle::W, and - * GravityCircle::V. - * @hideinitializer - **********************************************************************/ - GRAVITY = CapType::CAP_G, - /** - * Allow calls to GravityCircle::Disturbance and GravityCircle::T. - * @hideinitializer - **********************************************************************/ - DISTURBANCE = CapType::CAP_DELTA, - /** - * Allow calls to GravityCircle::T(double lon) (i.e., computing the - * disturbing potential and not the gravity disturbance vector). - * @hideinitializer - **********************************************************************/ - DISTURBING_POTENTIAL = CapType::CAP_T, - /** - * Allow calls to GravityCircle::SphericalAnomaly. - * @hideinitializer - **********************************************************************/ - SPHERICAL_ANOMALY = CapType::CAP_DELTA | CapType::CAP_GAMMA, - /** - * Allow calls to GravityCircle::GeoidHeight. - * @hideinitializer - **********************************************************************/ - GEOID_HEIGHT = CapType::CAP_T | CapType::CAP_C | CapType::CAP_GAMMA0, - /** - * All capabilities. - * @hideinitializer - **********************************************************************/ - ALL = CapType::CAP_ALL, - }; - /** \name Setting up the gravity model - **********************************************************************/ - ///@{ - /** - * Construct a gravity model. - * - * @param[in] name the name of the model. - * @param[in] path (optional) directory for data file. - * @exception GeographicErr if the data file cannot be found, is - * unreadable, or is corrupt. - * @exception std::bad_alloc if the memory necessary for storing the model - * can't be allocated. - * - * A filename is formed by appending ".egm" (World Gravity Model) to the - * name. If \e path is specified (and is non-empty), then the file is - * loaded from directory, \e path. Otherwise the path is given by - * DefaultGravityPath(). - * - * This file contains the metadata which specifies the properties of the - * model. The coefficients for the spherical harmonic sums are obtained - * from a file obtained by appending ".cof" to metadata file (so the - * filename ends in ".egm.cof"). - **********************************************************************/ - GravityModel(System::String^ name, System::String^ path); - ///@} - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~GravityModel() - { this->!GravityModel(); } - - /** \name Compute gravity in geodetic coordinates - **********************************************************************/ - ///@{ - /** - * Evaluate the gravity at an arbitrary point above (or below) the - * ellipsoid. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] lon the geographic longitude (degrees). - * @param[in] h the height above the ellipsoid (meters). - * @param[out] gx the easterly component of the acceleration - * (m s−2). - * @param[out] gy the northerly component of the acceleration - * (m s−2). - * @param[out] gz the upward component of the acceleration - * (m s−2); this is usually negative. - * @return \e W the sum of the gravitational and centrifugal potentials. - * - * The function includes the effects of the earth's rotation. - **********************************************************************/ - double Gravity(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% gx, - [System::Runtime::InteropServices::Out] double% gy, - [System::Runtime::InteropServices::Out] double% gz); - - /** - * Evaluate the gravity disturbance vector at an arbitrary point above (or - * below) the ellipsoid. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] lon the geographic longitude (degrees). - * @param[in] h the height above the ellipsoid (meters). - * @param[out] deltax the easterly component of the disturbance vector - * (m s−2). - * @param[out] deltay the northerly component of the disturbance vector - * (m s−2). - * @param[out] deltaz the upward component of the disturbance vector - * (m s−2). - * @return \e T the corresponding disturbing potential. - **********************************************************************/ - double Disturbance(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% deltax, - [System::Runtime::InteropServices::Out] double% deltay, - [System::Runtime::InteropServices::Out] double% deltaz); - - /** - * Evaluate the geoid height. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] lon the geographic longitude (degrees). - * @return \e N the height of the geoid above the ReferenceEllipsoid() - * (meters). - * - * This calls NormalGravity::U for ReferenceEllipsoid(). Some - * approximations are made in computing the geoid height so that the - * results of the NGA codes are reproduced accurately. Details are given - * in \ref gravitygeoid. - **********************************************************************/ - double GeoidHeight(double lat, double lon); - - /** - * Evaluate the components of the gravity anomaly vector using the - * spherical approximation. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] lon the geographic longitude (degrees). - * @param[in] h the height above the ellipsoid (meters). - * @param[out] Dg01 the gravity anomaly (m s−2). - * @param[out] xi the northerly component of the deflection of the vertical - * (degrees). - * @param[out] eta the easterly component of the deflection of the vertical - * (degrees). - * - * The spherical approximation (see Heiskanen and Moritz, Sec 2-14) is used - * so that the results of the NGA codes are reproduced accurately. - * approximations used here. Details are given in \ref gravitygeoid. - **********************************************************************/ - void SphericalAnomaly(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% Dg01, - [System::Runtime::InteropServices::Out] double% xi, - [System::Runtime::InteropServices::Out] double% eta); - ///@} - - /** \name Compute gravity in geocentric coordinates - **********************************************************************/ - ///@{ - /** - * Evaluate the components of the acceleration due to gravity and the - * centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] gX the \e X component of the acceleration - * (m s−2). - * @param[out] gY the \e Y component of the acceleration - * (m s−2). - * @param[out] gZ the \e Z component of the acceleration - * (m s−2). - * @return \e W = \e V + Φ the sum of the gravitational and - * centrifugal potentials (m2 s−2). - * - * This calls NormalGravity::U for ReferenceEllipsoid(). - **********************************************************************/ - double W(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% gX, - [System::Runtime::InteropServices::Out] double% gY, - [System::Runtime::InteropServices::Out] double% gZ); - - /** - * Evaluate the components of the acceleration due to gravity in geocentric - * coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] GX the \e X component of the acceleration - * (m s−2). - * @param[out] GY the \e Y component of the acceleration - * (m s−2). - * @param[out] GZ the \e Z component of the acceleration - * (m s−2). - * @return \e V = \e W - Φ the gravitational potential - * (m2 s−2). - **********************************************************************/ - double V(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% GX, - [System::Runtime::InteropServices::Out] double% GY, - [System::Runtime::InteropServices::Out] double% GZ); - - /** - * Evaluate the components of the gravity disturbance in geocentric - * coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] deltaX the \e X component of the gravity disturbance - * (m s−2). - * @param[out] deltaY the \e Y component of the gravity disturbance - * (m s−2). - * @param[out] deltaZ the \e Z component of the gravity disturbance - * (m s−2). - * @return \e T = \e W - \e U the disturbing potential (also called the - * anomalous potential) (m2 s−2). - **********************************************************************/ - double T(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% deltaX, - [System::Runtime::InteropServices::Out] double% deltaY, - [System::Runtime::InteropServices::Out] double% deltaZ); - - /** - * Evaluate disturbing potential in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @return \e T = \e W - \e U the disturbing potential (also called the - * anomalous potential) (m2 s−2). - **********************************************************************/ - double T(double X, double Y, double Z); - - /** - * Evaluate the components of the acceleration due to normal gravity and - * the centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] gammaX the \e X component of the normal acceleration - * (m s−2). - * @param[out] gammaY the \e Y component of the normal acceleration - * (m s−2). - * @param[out] gammaZ the \e Z component of the normal acceleration - * (m s−2). - * @return \e U = V0 + Φ the sum of the - * normal gravitational and centrifugal potentials - * (m2 s−2). - * - * This calls NormalGravity::U for ReferenceEllipsoid(). - **********************************************************************/ - double U(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% gammaX, - [System::Runtime::InteropServices::Out] double% gammaY, - [System::Runtime::InteropServices::Out] double% gammaZ); - - /** - * Evaluate the centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[out] fX the \e X component of the centrifugal acceleration - * (m s−2). - * @param[out] fY the \e Y component of the centrifugal acceleration - * (m s−2). - * @return Φ the centrifugal potential (m2 - * s−2). - * - * This calls NormalGravity::Phi for ReferenceEllipsoid(). - **********************************************************************/ - double Phi(double X, double Y, - [System::Runtime::InteropServices::Out] double% fX, - [System::Runtime::InteropServices::Out] double% fY); - ///@} - - /** \name Compute gravity on a circle of constant latitude - **********************************************************************/ - ///@{ - /** - * Create a GravityCircle object to allow the gravity field at many points - * with constant \e lat and \e h and varying \e lon to be computed - * efficiently. - * - * @param[in] lat latitude of the point (degrees). - * @param[in] h the height of the point above the ellipsoid (meters). - * @param[in] caps bitor'ed combination of GravityModel::mask values - * specifying the capabilities of the resulting GravityCircle object. - * @exception std::bad_alloc if the memory necessary for creating a - * GravityCircle can't be allocated. - * @return a GravityCircle object whose member functions computes the - * gravitational field at a particular values of \e lon. - * - * The GravityModel::mask values are - * - \e caps |= GravityModel::GRAVITY - * - \e caps |= GravityModel::DISTURBANCE - * - \e caps |= GravityModel::DISTURBING_POTENTIAL - * - \e caps |= GravityModel::SPHERICAL_ANOMALY - * - \e caps |= GravityModel::GEOID_HEIGHT - * . - * The default value of \e caps is GravityModel::ALL which turns on all the - * capabilities. If an unsupported function is invoked, it will return - * NaNs. Note that GravityModel::GEOID_HEIGHT will only be honored if \e h - * = 0. - * - * If the field at several points on a circle of latitude need to be - * calculated then creating a GravityCircle object and using its member - * functions will be substantially faster, especially for high-degree - * models. See \ref gravityparallel for an example of using GravityCircle - * (together with OpenMP) to speed up the computation of geoid heights. - **********************************************************************/ - GravityCircle^ Circle(double lat, double h, Mask caps ); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - - /** - * @return the NormalGravity object for the reference ellipsoid. - **********************************************************************/ - NormalGravity^ ReferenceEllipsoid(); - - /** - * @return the description of the gravity model, if available, in the data - * file; if absent, return "NONE". - **********************************************************************/ - property System::String^ Description { System::String^ get(); } - - /** - * @return date of the model; if absent, return "UNKNOWN". - **********************************************************************/ - property System::String^ DateTime { System::String^ get(); } - - /** - * @return full file name used to load the gravity model. - **********************************************************************/ - property System::String^ GravityFile { System::String^ get(); } - - /** - * @return "name" used to load the gravity model (from the first argument - * of the constructor, but this may be overridden by the model file). - **********************************************************************/ - property System::String^ GravityModelName { System::String^ get(); } - - /** - * @return directory used to load the gravity model. - **********************************************************************/ - property System::String^ GravityModelDirectory - { System::String^ get(); } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e GM the mass constant of the model (m3 - * s−2); this is the product of \e G the gravitational - * constant and \e M the mass of the earth (usually including the mass of - * the earth's atmosphere). - **********************************************************************/ - property double MassConstant { double get(); } - - /** - * @return \e GM the mass constant of the ReferenceEllipsoid() - * (m3 s−2). - **********************************************************************/ - property double ReferenceMassConstant { double get(); } - - /** - * @return ω the angular velocity of the model and the - * ReferenceEllipsoid() (rad s−1). - **********************************************************************/ - property double AngularVelocity { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. - **********************************************************************/ - property double Flattening { double get(); } - ///@} - - /** - * @return the default path for gravity model data files. - * - * This is the value of the environment variable GEOGRAPHICLIB_GRAVITY_PATH, if set; - * otherwise, it is $GEOGRAPHICLIB_DATA/gravity if the environment variable - * GEOGRAPHICLIB_DATA is set; otherwise, it is a compile-time default - * (/usr/local/share/GeographicLib/gravity on non-Windows systems and - * C:/ProgramData/GeographicLib/gravity on Windows systems). - **********************************************************************/ - static System::String^ DefaultGravityPath(); - - /** - * @return the default name for the gravity model. - * - * This is the value of the environment variable GEOGRAPHICLIB_GRAVITY_NAME, if set, - * otherwise, it is "egm96". The GravityModel class does not use - * this function; it is just provided as a convenience for a calling - * program when constructing a GravityModel object. - **********************************************************************/ - static System::String^ DefaultGravityName(); - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LambertConformalConic.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LambertConformalConic.cpp deleted file mode 100644 index b7599028ada194fdca9bc2763e92514172918367..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LambertConformalConic.cpp +++ /dev/null @@ -1,183 +0,0 @@ -/** - * \file NETGeographicLib/LambertConformalConic.cpp - * \brief Implementation for NETGeographicLib::LambertConformalConic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/LambertConformalConic.hpp" -#include "LambertConformalConic.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocte memory for a GeographicLib::LambertConformalConic"; - -//***************************************************************************** -LambertConformalConic::!LambertConformalConic(void) -{ - if ( m_pLambertConformalConic != NULL ) - { - delete m_pLambertConformalConic; - m_pLambertConformalConic = NULL; - } -} - -//***************************************************************************** -LambertConformalConic::LambertConformalConic(double a, double f, double stdlat, - double k0) -{ - try - { - m_pLambertConformalConic = - new GeographicLib::LambertConformalConic( a, f, stdlat, k0 ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -LambertConformalConic::LambertConformalConic(double a, double f, - double stdlat1, double stdlat2, double k1) -{ - try - { - m_pLambertConformalConic = - new GeographicLib::LambertConformalConic( a, f, stdlat1, stdlat2, k1 ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -LambertConformalConic::LambertConformalConic(double a, double f, - double sinlat1, double coslat1, - double sinlat2, double coslat2, - double k1) -{ - try - { - m_pLambertConformalConic = - new GeographicLib::LambertConformalConic( a, f, sinlat1, coslat1, - sinlat2, coslat2, k1 ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -LambertConformalConic::LambertConformalConic() -{ - try - { - m_pLambertConformalConic = new GeographicLib::LambertConformalConic( - GeographicLib::LambertConformalConic::Mercator() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void LambertConformalConic::SetScale(double lat, double k) -{ - try - { - m_pLambertConformalConic->SetScale( lat, k ); - } - catch ( std::exception err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void LambertConformalConic::Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double lx, ly, lgamma, lk; - m_pLambertConformalConic->Forward( lon0, lat, lon, lx, ly, lgamma, lk ); - x = lx; - y = ly; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void LambertConformalConic::Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double llat, llon, lgamma, lk; - m_pLambertConformalConic->Reverse( lon0, x, y, llat, llon, lgamma, lk ); - lat = llat; - lon = llon; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void LambertConformalConic::Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y) -{ - double lx, ly; - m_pLambertConformalConic->Forward( lon0, lat, lon, lx, ly ); - x = lx; - y = ly; -} - -//***************************************************************************** -void LambertConformalConic::Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - m_pLambertConformalConic->Reverse( lon0, x, y, llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double LambertConformalConic::EquatorialRadius::get() -{ return m_pLambertConformalConic->EquatorialRadius(); } - -//***************************************************************************** -double LambertConformalConic::Flattening::get() -{ return m_pLambertConformalConic->Flattening(); } - -//***************************************************************************** -double LambertConformalConic::OriginLatitude::get() -{ return m_pLambertConformalConic->OriginLatitude(); } - -//***************************************************************************** -double LambertConformalConic::CentralScale::get() -{ return m_pLambertConformalConic->CentralScale(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LambertConformalConic.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LambertConformalConic.h deleted file mode 100644 index dfdff371dfe6387018d2fe555fa29ba36ba181f9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LambertConformalConic.h +++ /dev/null @@ -1,259 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/LambertConformalConic.h - * \brief Header for NETGeographicLib::LambertConformalConic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::LambertConformalConic. - * - * This class allows .NET applications to access GeographicLib::LambertConformalConic. - * - * Implementation taken from the report, - * - J. P. Snyder, - * Map Projections: A - * Working Manual, USGS Professional Paper 1395 (1987), - * pp. 107--109. - * - * This is a implementation of the equations in Snyder except that divided - * differences have been used to transform the expressions into ones which - * may be evaluated accurately and that Newton's method is used to invert the - * projection. In this implementation, the projection correctly becomes the - * Mercator projection or the polar stereographic projection when the - * standard latitude is the equator or a pole. The accuracy of the - * projections is about 10 nm (10 nanometers). - * - * The ellipsoid parameters, the standard parallels, and the scale on the - * standard parallels are set in the constructor. Internally, the case with - * two standard parallels is converted into a single standard parallel, the - * latitude of tangency (also the latitude of minimum scale), with a scale - * specified on this parallel. This latitude is also used as the latitude of - * origin which is returned by LambertConformalConic::OriginLatitude. The - * scale on the latitude of origin is given by - * LambertConformalConic::CentralScale. The case with two distinct standard - * parallels where one is a pole is singular and is disallowed. The central - * meridian (which is a trivial shift of the longitude) is specified as the - * \e lon0 argument of the LambertConformalConic::Forward and - * LambertConformalConic::Reverse functions. There is no provision in this - * class for specifying a false easting or false northing or a different - * latitude of origin. However these are can be simply included by the - * calling function. For example the Pennsylvania South state coordinate - * system ( - * EPSG:3364) is obtained by: - * C# Example: - * \include example-LambertConformalConic.cs - * Managed C++ Example: - * \include example-LambertConformalConic.cpp - * Visual Basic Example: - * \include example-LambertConformalConic.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor has been provided that assumes a Mercator - * projection. - * - * The EquatorialRadius, Flattening, OriginLatitude, and CentralScale - * functions are implemented as properties. - **********************************************************************/ - public ref class LambertConformalConic - { - private: - // Pointer to the unmanaged GeographicLib::LambertConformalConic. - GeographicLib::LambertConformalConic* m_pLambertConformalConic; - - // the finalizer frres the unmanaged memory when the object is destroyed. - !LambertConformalConic(void); - public: - - /** - * Constructor with a single standard parallel. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] stdlat standard parallel (degrees), the circle of tangency. - * @param[in] k0 scale on the standard parallel. - * @exception GeographicErr if \e a, (1 − \e f ) \e a, or \e k0 is - * not positive. - * @exception GeographicErr if \e stdlat is not in [−90°, - * 90°]. - **********************************************************************/ - LambertConformalConic(double a, double f, double stdlat, double k0); - - /** - * Constructor with two standard parallels. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] stdlat1 first standard parallel (degrees). - * @param[in] stdlat2 second standard parallel (degrees). - * @param[in] k1 scale on the standard parallels. - * @exception GeographicErr if \e a, (1 − \e f ) \e a, or \e k1 is - * not positive. - * @exception GeographicErr if \e stdlat1 or \e stdlat2 is not in - * [−90°, 90°], or if either \e stdlat1 or \e - * stdlat2 is a pole and \e stdlat1 is not equal \e stdlat2. - **********************************************************************/ - LambertConformalConic(double a, double f, double stdlat1, double stdlat2, double k1); - - /** - * Constructor with two standard parallels specified by sines and cosines. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] sinlat1 sine of first standard parallel. - * @param[in] coslat1 cosine of first standard parallel. - * @param[in] sinlat2 sine of second standard parallel. - * @param[in] coslat2 cosine of second standard parallel. - * @param[in] k1 scale on the standard parallels. - * @exception GeographicErr if \e a, (1 − \e f ) \e a, or \e k1 is - * not positive. - * @exception GeographicErr if \e stdlat1 or \e stdlat2 is not in - * [−90°, 90°], or if either \e stdlat1 or \e - * stdlat2 is a pole and \e stdlat1 is not equal \e stdlat2. - * - * This allows parallels close to the poles to be specified accurately. - * This routine computes the latitude of origin and the scale at this - * latitude. In the case where \e lat1 and \e lat2 are different, the - * errors in this routines are as follows: if \e dlat = abs(\e lat2 − - * \e lat1) ≤ 160° and max(abs(\e lat1), abs(\e lat2)) ≤ 90 - * − min(0.0002, 2.2 × 10−6(180 − \e - * dlat), 6 × 10−8 dlat2) (in - * degrees), then the error in the latitude of origin is less than 4.5 - * × 10−14d and the relative error in the scale is - * less than 7 × 10−15. - **********************************************************************/ - LambertConformalConic(double a, double f, - double sinlat1, double coslat1, - double sinlat2, double coslat2, - double k1); - - /** - * The default constructor assumes a Mercator projection. - **********************************************************************/ - LambertConformalConic(); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~LambertConformalConic() - { this->!LambertConformalConic(); } - - /** - * Set the scale for the projection. - * - * @param[in] lat (degrees). - * @param[in] k scale at latitude \e lat (default 1). - * @exception GeographicErr \e k is not positive. - * @exception GeographicErr if \e lat is not in [−90°, - * 90°]. - **********************************************************************/ - void SetScale(double lat, double k); - - /** - * Forward projection, from geographic to Lambert conformal conic. - * - * @param[in] lon0 central meridian longitude (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * The latitude origin is given by - * LambertConformalConic::LatitudeOrigin(). No false easting or - * northing is added and \e lat should be in the range [−90°, - * 90°]. The error in the projection is less than about 10 nm (10 - * nanometers), true distance, and the errors in the meridian - * convergence and scale are consistent with this. The values of \e x - * and \e y returned for points which project to infinity (i.e., one or - * both of the poles) will be large but finite. - **********************************************************************/ - void Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * Reverse projection, from Lambert conformal conic to geographic. - * - * @param[in] lon0 central meridian longitude (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * The latitude origin is given by - * LambertConformalConic::LatitudeOrigin(). No false easting or - * northing is added. The value of \e lon returned is in the range - * [−180°, 180°). The error in the projection is less - * than about 10 nm (10 nanometers), true distance, and the errors in - * the meridian convergence and scale are consistent with this. - **********************************************************************/ - void Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * LambertConformalConic::Forward without returning the convergence and - * scale. - **********************************************************************/ - void Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * LambertConformalConic::Reverse without returning the convergence and - * scale. - **********************************************************************/ - void Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return latitude of the origin for the projection (degrees). - * - * This is the latitude of minimum scale and equals the \e stdlat in the - * 1-parallel constructor and lies between \e stdlat1 and \e stdlat2 in the - * 2-parallel constructors. - **********************************************************************/ - property double OriginLatitude { double get(); } - - /** - * @return central scale for the projection. This is the scale on the - * latitude of origin. - **********************************************************************/ - property double CentralScale { double get(); } - ///@} - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LocalCartesian.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LocalCartesian.cpp deleted file mode 100644 index 5b27e13ef9cb7360cb701468611d8a58f4d34245..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LocalCartesian.cpp +++ /dev/null @@ -1,180 +0,0 @@ -/** - * \file NETGeographicLib/LocalCartesian.cpp - * \brief Implementation for NETGeographicLib::LocalCartesian class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/LocalCartesian.hpp" -#include "LocalCartesian.h" -#include "Geocentric.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::LocalCartesian"; - -//***************************************************************************** -LocalCartesian::!LocalCartesian(void) -{ - if ( m_pLocalCartesian != NULL ) - { - delete m_pLocalCartesian; - m_pLocalCartesian = NULL; - } -} - -//***************************************************************************** -LocalCartesian::LocalCartesian(double lat0, double lon0, double h0, - Geocentric^ earth ) -{ - try - { - const GeographicLib::Geocentric* pGeocentric = - reinterpret_cast( - earth->GetUnmanaged()->ToPointer() ); - m_pLocalCartesian = new GeographicLib::LocalCartesian( lat0, lon0, h0, *pGeocentric ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -LocalCartesian::LocalCartesian(double lat0, double lon0, double h0 ) -{ - try - { - m_pLocalCartesian = new GeographicLib::LocalCartesian( lat0, lon0, h0, - GeographicLib::Geocentric::WGS84() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -LocalCartesian::LocalCartesian(Geocentric^ earth) -{ - try - { - const GeographicLib::Geocentric* pGeocentric = - reinterpret_cast( - earth->GetUnmanaged()->ToPointer() ); - m_pLocalCartesian = new GeographicLib::LocalCartesian( *pGeocentric ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -LocalCartesian::LocalCartesian() -{ - try - { - m_pLocalCartesian = new GeographicLib::LocalCartesian( - GeographicLib::Geocentric::WGS84() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void LocalCartesian::Reset(double lat0, double lon0, double h0 ) -{ - m_pLocalCartesian->Reset( lat0, lon0, h0 ); -} - -//***************************************************************************** -void LocalCartesian::Forward(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% z) -{ - double lx, ly, lz; - m_pLocalCartesian->Forward( lat, lon, h, lx, ly, lz ); - x = lx; - y = ly; - z = lz; -} - -//***************************************************************************** -void LocalCartesian::Forward(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% z, - [System::Runtime::InteropServices::Out] array^% M) -{ - double lx, ly, lz; - std::vector lM(9); - m_pLocalCartesian->Forward( lat, lon, h, lx, ly, lz, lM ); - x = lx; - y = ly; - z = lz; - M = gcnew array(3,3); - for ( int i = 0; i < 3; i++ ) - for ( int j = 0; j < 3; j++ ) - M[i,j] = lM[3*i+j]; -} - -//***************************************************************************** -void LocalCartesian::Reverse(double x, double y, double z, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% h) -{ - double llat, llon, lh; - m_pLocalCartesian->Reverse( x, y, z, llat, llon, lh ); - lat = llat; - lon = llon; - h = lh; -} - -//***************************************************************************** -void LocalCartesian::Reverse(double x, double y, double z, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% h, - [System::Runtime::InteropServices::Out] array^% M) -{ - double llat, llon, lh; - std::vector lM(9); - m_pLocalCartesian->Reverse( x, y, z, llat, llon, lh, lM ); - lat = llat; - lon = llon; - h = lh; - M = gcnew array(3,3); - for ( int i = 0; i < 3; i++ ) - for ( int j = 0; j < 3; j++ ) - M[i,j] = lM[3*i+j]; -} - -//***************************************************************************** -double LocalCartesian::LatitudeOrigin::get() -{ return m_pLocalCartesian->LatitudeOrigin(); } - -//***************************************************************************** -double LocalCartesian::LongitudeOrigin::get() -{ return m_pLocalCartesian->LongitudeOrigin(); } - -//***************************************************************************** -double LocalCartesian::HeightOrigin::get() -{ return m_pLocalCartesian->HeightOrigin(); } - -//***************************************************************************** -double LocalCartesian::EquatorialRadius::get() -{ return m_pLocalCartesian->EquatorialRadius(); } - -//***************************************************************************** -double LocalCartesian::Flattening::get() -{ return m_pLocalCartesian->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LocalCartesian.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LocalCartesian.h deleted file mode 100644 index 8580ae0a79c0d2e39115b1d53964b1d02c5aef9f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/LocalCartesian.h +++ /dev/null @@ -1,245 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/LocalCartesian.h - * \brief Header for NETGeographicLib::LocalCartesian class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class Geocentric; - /** - * \brief .NET wrapper for GeographicLib::LocalCartesian. - * - * This class allows .NET applications to access GeographicLib::LocalCartesian. - * - * Convert between geodetic coordinates latitude = \e lat, longitude = \e - * lon, height = \e h (measured vertically from the surface of the ellipsoid) - * to local cartesian coordinates (\e x, \e y, \e z). The origin of local - * cartesian coordinate system is at \e lat = \e lat0, \e lon = \e lon0, \e h - * = \e h0. The \e z axis is normal to the ellipsoid; the \e y axis points - * due north. The plane \e z = - \e h0 is tangent to the ellipsoid. - * - * The conversions all take place via geocentric coordinates using a - * Geocentric object. - * - * C# Example: - * \include example-LocalCartesian.cs - * Managed C++ Example: - * \include example-LocalCartesian.cpp - * Visual Basic Example: - * \include example-LocalCartesian.vb - * - * INTERFACE DIFFERENCES:
- * Constructors have been provided that assume WGS84 parameters. - * - * The following functions are implemented as properties: - * LatitudeOrigin, LongitudeOrigin, HeightOrigin, EquatorialRadius, - * and Flattening. - * - * The rotation matrices returned by the Forward and Reverse functions - * are 2D, 3 × 3 arrays rather than vectors. - **********************************************************************/ - public ref class LocalCartesian - { - private: - // the pointer to the GeographicLib::LocalCartesian. - GeographicLib::LocalCartesian* m_pLocalCartesian; - - // the finalizer frees the unmanaged memory when the object is destroyed. - !LocalCartesian(void); - public: - - /** - * Constructor setting the origin. - * - * @param[in] lat0 latitude at origin (degrees). - * @param[in] lon0 longitude at origin (degrees). - * @param[in] h0 height above ellipsoid at origin (meters); default 0. - * @param[in] earth Geocentric object for the transformation; default - * Geocentric::WGS84. - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - LocalCartesian(double lat0, double lon0, double h0, - Geocentric^ earth ); - - /** - * Constructor setting the origin and assuming a WGS84 ellipsoid. - * - * @param[in] lat0 latitude at origin (degrees). - * @param[in] lon0 longitude at origin (degrees). - * @param[in] h0 height above ellipsoid at origin (meters); default 0. - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - LocalCartesian(double lat0, double lon0, double h0 ); - - /** - * Constructor that uses the provided ellipsoid. - * - * @param[in] earth Geocentric object for the transformation; default - * Geocentric::WGS84. - * - * Sets \e lat0 = 0, \e lon0 = 0, \e h0 = 0. - **********************************************************************/ - LocalCartesian(Geocentric^ earth); - - /** - * The default constructor assumes the WGS84 ellipsoid. - * - * Sets \e lat0 = 0, \e lon0 = 0, \e h0 = 0. - **********************************************************************/ - LocalCartesian(); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~LocalCartesian() - { this->!LocalCartesian(); } - - /** - * Reset the origin. - * - * @param[in] lat0 latitude at origin (degrees). - * @param[in] lon0 longitude at origin (degrees). - * @param[in] h0 height above ellipsoid at origin (meters); default 0. - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - void Reset(double lat0, double lon0, double h0 ); - - /** - * Convert from geodetic to local cartesian coordinates. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] h height of point above the ellipsoid (meters). - * @param[out] x local cartesian coordinate (meters). - * @param[out] y local cartesian coordinate (meters). - * @param[out] z local cartesian coordinate (meters). - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - void Forward(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% z); - - /** - * Convert from geodetic to local cartesian coordinates and return rotation - * matrix. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] h height of point above the ellipsoid (meters). - * @param[out] x local cartesian coordinate (meters). - * @param[out] y local cartesian coordinate (meters). - * @param[out] z local cartesian coordinate (meters). - * @param[out] M a 3 × 3 rotation matrix. - * - * \e lat should be in the range [−90°, 90°]. - * - * Let \e v be a unit vector located at (\e lat, \e lon, \e h). We can - * express \e v as \e column vectors in one of two ways - * - in east, north, up coordinates (where the components are relative to a - * local coordinate system at (\e lat, \e lon, \e h)); call this - * representation \e v1. - * - in \e x, \e y, \e z coordinates (where the components are relative to - * the local coordinate system at (\e lat0, \e lon0, \e h0)); call this - * representation \e v0. - * . - * Then we have \e v0 = \e M ⋅ \e v1. - **********************************************************************/ - void Forward(double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% z, - [System::Runtime::InteropServices::Out] array^% M); - - /** - * Convert from local cartesian to geodetic coordinates. - * - * @param[in] x local cartesian coordinate (meters). - * @param[in] y local cartesian coordinate (meters). - * @param[in] z local cartesian coordinate (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] h height of point above the ellipsoid (meters). - * - * The value of \e lon returned is in the range [−180°, - * 180°). - **********************************************************************/ - void Reverse(double x, double y, double z, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% h); - - /** - * Convert from local cartesian to geodetic coordinates and return rotation - * matrix. - * - * @param[in] x local cartesian coordinate (meters). - * @param[in] y local cartesian coordinate (meters). - * @param[in] z local cartesian coordinate (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] h height of point above the ellipsoid (meters). - * @param[out] M a 3 × 3 rotation matrix. - * - * Let \e v be a unit vector located at (\e lat, \e lon, \e h). We can - * express \e v as \e column vectors in one of two ways - * - in east, north, up coordinates (where the components are relative to a - * local coordinate system at (\e lat, \e lon, \e h)); call this - * representation \e v1. - * - in \e x, \e y, \e z coordinates (where the components are relative to - * the local coordinate system at (\e lat0, \e lon0, \e h0)); call this - * representation \e v0. - * . - * Then we have \e v1 = \e MT ⋅ \e v0, where \e - * MT is the transpose of \e M. - **********************************************************************/ - void Reverse(double x, double y, double z, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% h, - [System::Runtime::InteropServices::Out] array^% M); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return latitude of the origin (degrees). - **********************************************************************/ - property double LatitudeOrigin { double get(); } - - /** - * @return longitude of the origin (degrees). - **********************************************************************/ - property double LongitudeOrigin { double get(); } - - /** - * @return height of the origin (meters). - **********************************************************************/ - property double HeightOrigin { double get(); } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value of \e a inherited from the Geocentric object used in the - * constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geocentric object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MGRS.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MGRS.cpp deleted file mode 100644 index ee60d2d20b14702457657ed0fbdbc314dbeefab5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MGRS.cpp +++ /dev/null @@ -1,83 +0,0 @@ -/** - * \file NETGeographicLib/MGRS.cpp - * \brief Implementation for NETGeographicLib::MGRS class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/MGRS.hpp" -#include "MGRS.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -void MGRS::Forward(int zone, bool northp, double x, double y, - int prec, - [System::Runtime::InteropServices::Out] System::String^% mgrs) -{ - try - { - std::string lmgrs; - GeographicLib::MGRS::Forward( zone, northp, x, y, prec, lmgrs ); - mgrs = gcnew System::String( lmgrs.c_str() ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void MGRS::Forward(int zone, bool northp, double x, double y, double lat, - int prec, System::String^% mgrs) -{ - try - { - std::string lmgrs; - GeographicLib::MGRS::Forward( zone, northp, x, y, lat, prec, lmgrs ); - mgrs = gcnew System::String( lmgrs.c_str() ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void MGRS::Reverse(System::String^ mgrs, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] int% prec, - bool centerp ) -{ - try - { - double lx, ly; - int lzone, lprec; - bool lnorthp; - GeographicLib::MGRS::Reverse( StringConvert::ManagedToUnmanaged( mgrs ), - lzone, lnorthp, lx, ly, lprec, centerp ); - x = lx; - y = ly; - zone = lzone; - prec = lprec; - northp = lnorthp; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double MGRS::EquatorialRadius() { return GeographicLib::UTMUPS::EquatorialRadius(); } - -//***************************************************************************** -double MGRS::Flattening() { return GeographicLib::UTMUPS::Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MGRS.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MGRS.h deleted file mode 100644 index 2825b3756b05a5787fb665ccfe5070b6dc0a2898..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MGRS.h +++ /dev/null @@ -1,249 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/MGRS.h - * \brief Header for NETGeographicLib::MGRS class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::MGRS. - * - * This class allows .NET applications to access GeographicLib::MGRS. - * - * MGRS is defined in Chapter 3 of - * - J. W. Hager, L. L. Fry, S. S. Jacks, D. R. Hill, - * - - * Datums, Ellipsoids, Grids, and Grid Reference Systems, - * Defense Mapping Agency, Technical Manual TM8358.1 (1990). - * - * This implementation has the following properties: - * - The conversions are closed, i.e., output from Forward is legal input for - * Reverse and vice versa. Conversion in both directions preserve the - * UTM/UPS selection and the UTM zone. - * - Forward followed by Reverse and vice versa is approximately the - * identity. (This is affected in predictable ways by errors in - * determining the latitude band and by loss of precision in the MGRS - * coordinates.) - * - All MGRS coordinates truncate to legal 100 km blocks. All MGRS - * coordinates with a legal 100 km block prefix are legal (even though the - * latitude band letter may now belong to a neighboring band). - * - The range of UTM/UPS coordinates allowed for conversion to MGRS - * coordinates is the maximum consistent with staying within the letter - * ranges of the MGRS scheme. - * - All the transformations are implemented as static methods in the MGRS - * class. - * - * The NGA software package - * geotrans - * also provides conversions to and from MGRS. Version 3.0 (and earlier) - * suffers from some drawbacks: - * - Inconsistent rules are used to determine the whether a particular MGRS - * coordinate is legal. A more systematic approach is taken here. - * - The underlying projections are not very accurately implemented. - * - * C# Example: - * \include example-MGRS.cs - * Managed C++ Example: - * \include example-MGRS.cpp - * Visual Basic Example: - * \include example-MGRS.vb - * - **********************************************************************/ - public ref class MGRS - { - private: - // Hide the constructor since all members are static. - MGRS(void) {} - public: - - /** - * Convert UTM or UPS coordinate to an MGRS coordinate. - * - * @param[in] zone UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[in] prec precision relative to 100 km. - * @param[out] mgrs MGRS string. - * @exception GeographicErr if \e zone, \e x, or \e y is outside its - * allowed range. - * @exception GeographicErr if the memory for the MGRS string can't be - * allocated. - * - * \e prec specifies the precision of the MGRS string as follows: - * - prec = −1 (min), only the grid zone is returned - * - prec = 0 (min), 100 km - * - prec = 1, 10 km - * - prec = 2, 1 km - * - prec = 3, 100 m - * - prec = 4, 10 m - * - prec = 5, 1 m - * - prec = 6, 0.1 m - * - prec = 11 (max), 1 μm - * - * UTM eastings are allowed to be in the range [100 km, 900 km], northings - * are allowed to be in in [0 km, 9500 km] for the northern hemisphere and - * in [1000 km, 10000 km] for the southern hemisphere. (However UTM - * northings can be continued across the equator. So the actual limits on - * the northings are [−9000 km, 9500 km] for the "northern" - * hemisphere and [1000 km, 19500 km] for the "southern" hemisphere.) - * - * UPS eastings/northings are allowed to be in the range [1300 km, 2700 km] - * in the northern hemisphere and in [800 km, 3200 km] in the southern - * hemisphere. - * - * The ranges are 100 km more restrictive that for the conversion between - * geographic coordinates and UTM and UPS given by UTMUPS. These - * restrictions are dictated by the allowed letters in MGRS coordinates. - * The choice of 9500 km for the maximum northing for northern hemisphere - * and of 1000 km as the minimum northing for southern hemisphere provide - * at least 0.5 degree extension into standard UPS zones. The upper ends - * of the ranges for the UPS coordinates is dictated by requiring symmetry - * about the meridians 0E and 90E. - * - * All allowed UTM and UPS coordinates may now be converted to legal MGRS - * coordinates with the proviso that eastings and northings on the upper - * boundaries are silently reduced by about 4 nm (4 nanometers) to place - * them \e within the allowed range. (This includes reducing a southern - * hemisphere northing of 10000 km by 4 nm so that it is placed in latitude - * band M.) The UTM or UPS coordinates are truncated to requested - * precision to determine the MGRS coordinate. Thus in UTM zone 38n, the - * square area with easting in [444 km, 445 km) and northing in [3688 km, - * 3689 km) maps to MGRS coordinate 38SMB4488 (at \e prec = 2, 1 km), - * Khulani Sq., Baghdad. - * - * The UTM/UPS selection and the UTM zone is preserved in the conversion to - * MGRS coordinate. Thus for \e zone > 0, the MGRS coordinate begins with - * the zone number followed by one of [C--M] for the southern - * hemisphere and [N--X] for the northern hemisphere. For \e zone = - * 0, the MGRS coordinates begins with one of [AB] for the southern - * hemisphere and [XY] for the northern hemisphere. - * - * The conversion to the MGRS is exact for prec in [0, 5] except that a - * neighboring latitude band letter may be given if the point is within 5nm - * of a band boundary. For prec in [6, 11], the conversion is accurate to - * roundoff. - * - * If \e prec = −1, then the "grid zone designation", e.g., 18T, is - * returned. This consists of the UTM zone number (absent for UPS) and the - * first letter of the MGRS string which labels the latitude band for UTM - * and the hemisphere for UPS. - * - * If \e x or \e y is NaN or if \e zone is UTMUPS::INVALID, the returned - * MGRS string is "INVALID". - * - * Return the result via a reference argument to avoid the overhead of - * allocating a potentially large number of small strings. If an error is - * thrown, then \e mgrs is unchanged. - **********************************************************************/ - static void Forward(int zone, bool northp, double x, double y, - int prec, - [System::Runtime::InteropServices::Out] System::String^% mgrs); - - /** - * Convert UTM or UPS coordinate to an MGRS coordinate when the latitude is - * known. - * - * @param[in] zone UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[in] lat latitude (degrees). - * @param[in] prec precision relative to 100 km. - * @param[out] mgrs MGRS string. - * @exception GeographicErr if \e zone, \e x, or \e y is outside its - * allowed range. - * @exception GeographicErr if \e lat is inconsistent with the given UTM - * coordinates. - * @exception std::bad_alloc if the memory for \e mgrs can't be allocated. - * - * The latitude is ignored for \e zone = 0 (UPS); otherwise the latitude is - * used to determine the latitude band and this is checked for consistency - * using the same tests as Reverse. - **********************************************************************/ - static void Forward(int zone, bool northp, double x, double y, double lat, - int prec, - [System::Runtime::InteropServices::Out] System::String^% mgrs); - - /** - * Convert a MGRS coordinate to UTM or UPS coordinates. - * - * @param[in] mgrs MGRS string. - * @param[out] zone UTM zone (zero means UPS). - * @param[out] northp hemisphere (true means north, false means south). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] prec precision relative to 100 km. - * @param[in] centerp if true (default), return center of the MGRS square, - * else return SW (lower left) corner. - * @exception GeographicErr if \e mgrs is illegal. - * - * All conversions from MGRS to UTM/UPS are permitted provided the MGRS - * coordinate is a possible result of a conversion in the other direction. - * (The leading 0 may be dropped from an input MGRS coordinate for UTM - * zones 1--9.) In addition, MGRS coordinates with a neighboring - * latitude band letter are permitted provided that some portion of the - * 100 km block is within the given latitude band. Thus - * - 38VLS and 38WLS are allowed (latitude 64N intersects the square - * 38[VW]LS); but 38VMS is not permitted (all of 38VMS is north of 64N) - * - 38MPE and 38NPF are permitted (they straddle the equator); but 38NPE - * and 38MPF are not permitted (the equator does not intersect either - * block). - * - Similarly ZAB and YZB are permitted (they straddle the prime - * meridian); but YAB and ZZB are not (the prime meridian does not - * intersect either block). - * - * The UTM/UPS selection and the UTM zone is preserved in the conversion - * from MGRS coordinate. The conversion is exact for prec in [0, 5]. With - * centerp = true the conversion from MGRS to geographic and back is - * stable. This is not assured if \e centerp = false. - * - * If a "grid zone designation" (for example, 18T or A) is given, then some - * suitable (but essentially arbitrary) point within that grid zone is - * returned. The main utility of the conversion is to allow \e zone and \e - * northp to be determined. In this case, the \e centerp parameter is - * ignored and \e prec is set to −1. - * - * If the first 3 characters of \e mgrs are "INV", then \e x and \e y are - * set to NaN, \e zone is set to UTMUPS::INVALID, and \e prec is set to - * −2. - * - * If an exception is thrown, then the arguments are unchanged. - **********************************************************************/ - static void Reverse(System::String^ mgrs, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] int% prec, - bool centerp ); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the WGS84 ellipsoid (meters). - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - static double EquatorialRadius(); - - /** - * @return \e f the flattening of the WGS84 ellipsoid. - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - static double Flattening(); - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticCircle.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticCircle.cpp deleted file mode 100644 index fe6222b9b3a0032fbcb495fcaf2f9c54af0b2073..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticCircle.cpp +++ /dev/null @@ -1,114 +0,0 @@ -/** - * \file NETGeographicLib/MagneticCircle.cpp - * \brief Implementation for NETGeographicLib::MagneticCircle class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/MagneticCircle.hpp" -#include "MagneticCircle.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -MagneticCircle::!MagneticCircle(void) -{ - if ( m_pMagneticCircle != NULL ) - { - delete m_pMagneticCircle; - m_pMagneticCircle = NULL; - } -} - -//***************************************************************************** -MagneticCircle::MagneticCircle( const GeographicLib::MagneticCircle& c ) -{ - try - { - m_pMagneticCircle = new GeographicLib::MagneticCircle( c ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a GeographicLib::MagneticCircle" ); - } -} - -//***************************************************************************** -void MagneticCircle::Field(double lon, - [System::Runtime::InteropServices::Out] double% Bx, - [System::Runtime::InteropServices::Out] double% By, - [System::Runtime::InteropServices::Out] double% Bz) -{ - double lx, ly, lz; - m_pMagneticCircle->operator()( lon, lx, ly, lz ); - Bx = lx; - By = ly; - Bz = lz; -} - -//***************************************************************************** -void MagneticCircle::Field(double lon, - [System::Runtime::InteropServices::Out] double% Bx, - [System::Runtime::InteropServices::Out] double% By, - [System::Runtime::InteropServices::Out] double% Bz, - [System::Runtime::InteropServices::Out] double% Bxt, - [System::Runtime::InteropServices::Out] double% Byt, - [System::Runtime::InteropServices::Out] double% Bzt) -{ - double lx, ly, lz, lxt, lyt, lzt; - m_pMagneticCircle->operator()( lon, lx, ly, lz, lxt, lyt, lzt ); - Bx = lx; - By = ly; - Bz = lz; - Bxt = lxt; - Byt = lyt; - Bzt = lzt; -} - -//***************************************************************************** -double MagneticCircle::EquatorialRadius::get() -{ - if ( m_pMagneticCircle->Init() ) - return m_pMagneticCircle->EquatorialRadius(); - throw gcnew GeographicErr("MagneticCircle::EquatorialRadius failed because the MagneticCircle is not initialized."); -} - -//***************************************************************************** -double MagneticCircle::Flattening::get() -{ - if ( m_pMagneticCircle->Init() ) - return m_pMagneticCircle->Flattening(); - throw gcnew GeographicErr("MagneticCircle::Flattening failed because the MagneticCircle is not initialized."); -} - -//***************************************************************************** -double MagneticCircle::Latitude::get() -{ - if ( m_pMagneticCircle->Init() ) - return m_pMagneticCircle->Latitude(); - throw gcnew GeographicErr("MagneticCircle::Latitude failed because the MagneticCircle is not initialized."); -} - -//***************************************************************************** -double MagneticCircle::Height::get() -{ - if ( m_pMagneticCircle->Init() ) - return m_pMagneticCircle->Height(); - throw gcnew GeographicErr("MagneticCircle::Height failed because the MagneticCircle is not initialized."); -} - -//***************************************************************************** -double MagneticCircle::Time::get() -{ - if ( m_pMagneticCircle->Init() ) - return m_pMagneticCircle->Height(); - throw gcnew GeographicErr("MagneticCircle::Height failed because the MagneticCircle is not initialized."); -} - -//***************************************************************************** -bool MagneticCircle::Init::get() { return m_pMagneticCircle->Init(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticCircle.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticCircle.h deleted file mode 100644 index b20657ac81d29bced6c58975e68d221cbb56a9f0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticCircle.h +++ /dev/null @@ -1,147 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/MagneticCircle.h - * \brief Header for NETGeographicLib::MagneticCircle class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::MagneticCircle. - * - * This class allows .NET applications to access GeographicLib::MagneticCircle. - * - * Evaluate the earth's magnetic field on a circle of constant height and - * latitude. This uses a CircularEngine to pre-evaluate the inner sum of the - * spherical harmonic sum, allowing the values of the field at several - * different longitudes to be evaluated rapidly. - * - * Use MagneticModel::Circle to create a MagneticCircle object. (The - * constructor for this class is for internal use only.) - * - * C# Example: - * \include example-MagneticCircle.cs - * Managed C++ Example: - * \include example-MagneticCircle.cpp - * Visual Basic Example: - * \include example-MagneticCircle.vb - * - * INTERFACE DIFFERENCES:
- * The () operator has been replaced with Field. - * - * The following functions are implemented as properties: - * Init, EquatorialRadius, Flattening, Latitude, Height, and Time. - **********************************************************************/ - public ref class MagneticCircle - { - private: - // pointer to the unmanaged GeographicLib::MagneticCircle. - const GeographicLib::MagneticCircle* m_pMagneticCircle; - - // the finalizer frees the unmanaged memory when the object is destroyed. - !MagneticCircle(void); - public: - - /** - * %brief A constructor that is initialized from an unmanaged - * GeographicLib::MagneticCircle. This is for internal use only. - * - * Developers should use MagneticModel::Circle to create a - * MagneticCircle. - **********************************************************************/ - MagneticCircle( const GeographicLib::MagneticCircle& c ); - - /** - * %brief The destructor calls the finalizer. - **********************************************************************/ - ~MagneticCircle() - { this->!MagneticCircle(); } - - /** \name Compute the magnetic field - **********************************************************************/ - ///@{ - /** - * %brief Evaluate the components of the geomagnetic field at a - * particular longitude. - * - * @param[in] lon longitude of the point (degrees). - * @param[out] Bx the easterly component of the magnetic field (nanotesla). - * @param[out] By the northerly component of the magnetic field (nanotesla). - * @param[out] Bz the vertical (up) component of the magnetic field - * (nanotesla). - **********************************************************************/ - void Field(double lon, - [System::Runtime::InteropServices::Out] double% Bx, - [System::Runtime::InteropServices::Out] double% By, - [System::Runtime::InteropServices::Out] double% Bz); - - /** - * Evaluate the components of the geomagnetic field and their time - * derivatives at a particular longitude. - * - * @param[in] lon longitude of the point (degrees). - * @param[out] Bx the easterly component of the magnetic field (nanotesla). - * @param[out] By the northerly component of the magnetic field (nanotesla). - * @param[out] Bz the vertical (up) component of the magnetic field - * (nanotesla). - * @param[out] Bxt the rate of change of \e Bx (nT/yr). - * @param[out] Byt the rate of change of \e By (nT/yr). - * @param[out] Bzt the rate of change of \e Bz (nT/yr). - **********************************************************************/ - void Field(double lon, - [System::Runtime::InteropServices::Out] double% Bx, - [System::Runtime::InteropServices::Out] double% By, - [System::Runtime::InteropServices::Out] double% Bz, - [System::Runtime::InteropServices::Out] double% Bxt, - [System::Runtime::InteropServices::Out] double% Byt, - [System::Runtime::InteropServices::Out] double% Bzt); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return true if the object has been initialized. - **********************************************************************/ - property bool Init { bool get(); } - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the MagneticModel object used in the - * constructor. This property throws a GeographicErr exception if - * the object is not initialized. - **********************************************************************/ - property double EquatorialRadius { double get(); } - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the MagneticModel object used in the constructor. - * This property throws a GeographicErr exception if the object is - * not initialized. - **********************************************************************/ - property double Flattening { double get(); } - /** - * @return the latitude of the circle (degrees). - * This property throws a GeographicErr exception if the object is - * not initialized. - **********************************************************************/ - property double Latitude { double get(); } - /** - * @return the height of the circle (meters). - * This property throws a GeographicErr exception if the object is - * not initialized. - **********************************************************************/ - property double Height { double get(); } - /** - * @return the time (fractional years). - * This property throws a GeographicErr exception if the object is - * not initialized. - **********************************************************************/ - property double Time { double get(); } - ///@} - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticModel.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticModel.cpp deleted file mode 100644 index 59ad02f35954365891bee78133f01884f993b563..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticModel.cpp +++ /dev/null @@ -1,234 +0,0 @@ -/** - * \file NETGeographicLib/MagneticModel.cpp - * \brief Implementation for NETGeographicLib::MagneticModel class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/MagneticModel.hpp" -#include "MagneticModel.h" -#include "GeographicLib/MagneticCircle.hpp" -#include "MagneticCircle.h" -#include "Geocentric.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::MagneticModel"; - -//***************************************************************************** -MagneticModel::!MagneticModel(void) -{ - if ( m_pMagneticModel != NULL ) - { - delete m_pMagneticModel; - m_pMagneticModel = NULL; - } -} - -//***************************************************************************** -MagneticModel::MagneticModel(System::String^ name, - System::String^ path, - Geocentric^ earth) -{ - if ( name == nullptr ) throw gcnew GeographicErr("name cannot be a null pointer."); - if ( path == nullptr ) throw gcnew GeographicErr("path cannot be a null pointer."); - if ( earth == nullptr ) throw gcnew GeographicErr("earth cannot be a null pointer."); - - try - { - const GeographicLib::Geocentric* pGeocentric = - reinterpret_cast( - earth->GetUnmanaged()->ToPointer() ); - - m_pMagneticModel = new GeographicLib::MagneticModel( - StringConvert::ManagedToUnmanaged( name ), - StringConvert::ManagedToUnmanaged( path ), - *pGeocentric ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch (const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -MagneticModel::MagneticModel(System::String^ name, - System::String^ path) -{ - if ( name == nullptr ) throw gcnew GeographicErr("name cannot be a null pointer."); - if ( path == nullptr ) throw gcnew GeographicErr("path cannot be a null pointer."); - - try - { - m_pMagneticModel = new GeographicLib::MagneticModel( - StringConvert::ManagedToUnmanaged( name ), - StringConvert::ManagedToUnmanaged( path ), - GeographicLib::Geocentric::WGS84() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch (const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void MagneticModel::Field(double t, double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% Bx, - [System::Runtime::InteropServices::Out] double% By, - [System::Runtime::InteropServices::Out] double% Bz) -{ - double lx, ly, lz; - m_pMagneticModel->operator()( t, lat, lon, h, lx, ly, lz ); - Bx = lx; - By = ly; - Bz = lz; -} - -//***************************************************************************** -void MagneticModel::Field(double t, double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% Bx, - [System::Runtime::InteropServices::Out] double% By, - [System::Runtime::InteropServices::Out] double% Bz, - [System::Runtime::InteropServices::Out] double% Bxt, - [System::Runtime::InteropServices::Out] double% Byt, - [System::Runtime::InteropServices::Out] double% Bzt) -{ - double lx, ly, lz, lxt, lyt, lzt; - m_pMagneticModel->operator()( t, lat, lon, h, lx, ly, lz, lxt, lyt, lzt ); - Bx = lx; - By = ly; - Bz = lz; - Bxt = lxt; - Byt = lyt; - Bzt = lzt; -} - -//***************************************************************************** -MagneticCircle^ MagneticModel::Circle(double t, double lat, double h) -{ - try - { - return gcnew MagneticCircle( m_pMagneticModel->Circle( t, lat, h ) ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr("Failed to allocate memory for a MagneticCircle in MagneticModel::Circle"); - } -} - -//***************************************************************************** -void MagneticModel::FieldComponents(double Bx, double By, double Bz, - [System::Runtime::InteropServices::Out] double% H, - [System::Runtime::InteropServices::Out] double% F, - [System::Runtime::InteropServices::Out] double% D, - [System::Runtime::InteropServices::Out] double% I) -{ - double lh, lf, ld, li; - GeographicLib::MagneticModel::FieldComponents(Bx, By, Bz, lh, lf, ld, li); - H = lh; - F = lf; - D = ld; - I = li; -} - -//***************************************************************************** -void MagneticModel::FieldComponents(double Bx, double By, double Bz, - double Bxt, double Byt, double Bzt, - [System::Runtime::InteropServices::Out] double% H, - [System::Runtime::InteropServices::Out] double% F, - [System::Runtime::InteropServices::Out] double% D, - [System::Runtime::InteropServices::Out] double% I, - [System::Runtime::InteropServices::Out] double% Ht, - [System::Runtime::InteropServices::Out] double% Ft, - [System::Runtime::InteropServices::Out] double% Dt, - [System::Runtime::InteropServices::Out] double% It) -{ - double lh, lf, ld, li, lht, lft, ldt, lit; - GeographicLib::MagneticModel::FieldComponents(Bx, By, Bz, Bxt, Byt, Bzt, - lh, lf, ld, li, lht, lft, ldt, lit); - H = lh; - F = lf; - D = ld; - I = li; - Ht = lht; - Ft = lft; - Dt = ldt; - It = lit; -} - -//***************************************************************************** -System::String^ MagneticModel::Description::get() -{ - return StringConvert::UnmanagedToManaged( m_pMagneticModel->Description() ); -} - -//***************************************************************************** -System::String^ MagneticModel::DateTime::get() -{ - return StringConvert::UnmanagedToManaged( m_pMagneticModel->DateTime() ); -} - -//***************************************************************************** -System::String^ MagneticModel::MagneticFile::get() -{ - return StringConvert::UnmanagedToManaged( m_pMagneticModel->MagneticFile() ); -} - -//***************************************************************************** -System::String^ MagneticModel::MagneticModelName::get() -{ - return StringConvert::UnmanagedToManaged( m_pMagneticModel->MagneticModelName() ); -} - -//***************************************************************************** -System::String^ MagneticModel::MagneticModelDirectory::get() -{ - return StringConvert::UnmanagedToManaged( m_pMagneticModel->MagneticModelDirectory() ); -} - -//***************************************************************************** -System::String^ MagneticModel::DefaultMagneticPath() -{ - return StringConvert::UnmanagedToManaged( GeographicLib::MagneticModel::DefaultMagneticPath() ); -} - -//***************************************************************************** -System::String^ MagneticModel::DefaultMagneticName() -{ - return StringConvert::UnmanagedToManaged( GeographicLib::MagneticModel::DefaultMagneticName() ); -} - -//***************************************************************************** -double MagneticModel::MinHeight::get() -{ return m_pMagneticModel->MinHeight(); } - -//***************************************************************************** -double MagneticModel::MaxHeight::get() -{ return m_pMagneticModel->MaxHeight(); } - -//***************************************************************************** -double MagneticModel::MinTime::get() { return m_pMagneticModel->MinTime(); } - -//***************************************************************************** -double MagneticModel::MaxTime::get() { return m_pMagneticModel->MaxTime(); } - -//***************************************************************************** -double MagneticModel::EquatorialRadius::get() -{ return m_pMagneticModel->EquatorialRadius(); } - -//***************************************************************************** -double MagneticModel::Flattening::get() -{ return m_pMagneticModel->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticModel.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticModel.h deleted file mode 100644 index 9532c02fd7334e3b47bd69e99639b11e4765267b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/MagneticModel.h +++ /dev/null @@ -1,375 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/MagneticModel.h - * \brief Header for NETGeographicLib::MagneticModel class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class MagneticCircle; - ref class Geocentric; - /** - * \brief .NET wrapper for GeographicLib::MagneticModel. - * - * This class allows .NET applications to access GeographicLib::MagneticModel. - * - * Evaluate the earth's magnetic field according to a model. At present only - * internal magnetic fields are handled. These are due to the earth's code - * and crust; these vary slowly (over many years). Excluded are the effects - * of currents in the ionosphere and magnetosphere which have daily and - * annual variations. - * - * See \ref magnetic for details of how to install the magnetic model and the - * data format. - * - * See - * - General information: - * - http://geomag.org/models/index.html - * - WMM2010: - * - http://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml - * - http://ngdc.noaa.gov/geomag/WMM/data/WMM2010/WMM2010COF.zip - * - WMM2015 (deprecated): - * - http://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml - * - http://ngdc.noaa.gov/geomag/WMM/data/WMM2015/WMM2015COF.zip - * - WMM2015v2: - * - http://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml - * - http://ngdc.noaa.gov/geomag/WMM/data/WMM2015/WMM2015v2COF.zip - * - WMM2020: - * - http://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml - * - http://ngdc.noaa.gov/geomag/WMM/data/WMM2020/WMM2020COF.zip - * - IGRF11: - * - http://ngdc.noaa.gov/IAGA/vmod/igrf.html - * - http://ngdc.noaa.gov/IAGA/vmod/igrf11coeffs.txt - * - http://ngdc.noaa.gov/IAGA/vmod/geomag70_linux.tar.gz - * - EMM2010: - * - http://ngdc.noaa.gov/geomag/EMM/index.html - * - http://ngdc.noaa.gov/geomag/EMM/data/geomag/EMM2010_Sph_Windows_Linux.zip - * - * C# Example: - * \include example-MagneticModel.cs - * Managed C++ Example: - * \include example-MagneticModel.cpp - * Visual Basic Example: - * \include example-MagneticModel.vb - * - * INTERFACE DIFFERENCES:
- * The () operator has been replaced with Field. - * - * The following functions are implemented as properties: - * Description, DateTime, MagneticFile, MagneticModelName, - * MagneticModelDirectory, MinHeight, MaxHeight, MinTime, MaxTime, - * EquatorialRadius, and Flattening. - **********************************************************************/ - public ref class MagneticModel - { - private: - // The pointer to the unmanaged GeographicLib::MagneticModel. - const GeographicLib::MagneticModel* m_pMagneticModel; - - // The finalizer frees the unmanaged memory when the object is destroyed. - !MagneticModel(void); - public: - - /** \name Setting up the magnetic model - **********************************************************************/ - ///@{ - /** - * Construct a magnetic model. - * - * @param[in] name the name of the model. - * @param[in] path (optional) directory for data file. - * @param[in] earth (optional) Geocentric object for converting - * coordinates. - * @exception GeographicErr if the data file cannot be found, is - * unreadable, or is corrupt. - * @exception std::bad_alloc if the memory necessary for storing the model - * can't be allocated. - * - * A filename is formed by appending ".wmm" (World Magnetic Model) to the - * name. If \e path is specified (and is non-empty), then the file is - * loaded from directory, \e path. Otherwise the path is given by the - * DefaultMagneticPath(). - * - * This file contains the metadata which specifies the properties of the - * model. The coefficients for the spherical harmonic sums are obtained - * from a file obtained by appending ".cof" to metadata file (so the - * filename ends in ".wwm.cof"). - * - * The model is not tied to a particular ellipsoidal model of the earth. - * The final earth argument to the constructor specifies an ellipsoid to - * allow geodetic coordinates to the transformed into the spherical - * coordinates used in the spherical harmonic sum. - **********************************************************************/ - MagneticModel(System::String^ name, - System::String^ path, - Geocentric^ earth); - /** - * Construct a magnetic model that assumes the WGS84 ellipsoid. - * - * @param[in] name the name of the model. - * @param[in] path (optional) directory for data file. - * @exception GeographicErr if the data file cannot be found, is - * unreadable, or is corrupt. - * @exception GeographicErr if the memory necessary for storing the model - * can't be allocated. - * - * A filename is formed by appending ".wmm" (World Magnetic Model) to the - * name. If \e path is specified (and is non-empty), then the file is - * loaded from directory, \e path. Otherwise the path is given by the - * DefaultMagneticPath(). - * - * This file contains the metadata which specifies the properties of the - * model. The coefficients for the spherical harmonic sums are obtained - * from a file obtained by appending ".cof" to metadata file (so the - * filename ends in ".wwm.cof"). - * - * The model is not tied to a particular ellipsoidal model of the earth. - * The final earth argument to the constructor specifies an ellipsoid to - * allow geodetic coordinates to the transformed into the spherical - * coordinates used in the spherical harmonic sum. - **********************************************************************/ - MagneticModel(System::String^ name, - System::String^ path); - - ///@} - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~MagneticModel() - { this->!MagneticModel(); } - - /** \name Compute the magnetic field - **********************************************************************/ - ///@{ - /** - * Evaluate the components of the geomagnetic field. - * - * @param[in] t the time (years). - * @param[in] lat latitude of the point (degrees). - * @param[in] lon longitude of the point (degrees). - * @param[in] h the height of the point above the ellipsoid (meters). - * @param[out] Bx the easterly component of the magnetic field (nanotesla). - * @param[out] By the northerly component of the magnetic field (nanotesla). - * @param[out] Bz the vertical (up) component of the magnetic field - * (nanotesla). - **********************************************************************/ - void Field(double t, double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% Bx, - [System::Runtime::InteropServices::Out] double% By, - [System::Runtime::InteropServices::Out] double% Bz); - - /** - * Evaluate the components of the geomagnetic field and their time - * derivatives - * - * @param[in] t the time (years). - * @param[in] lat latitude of the point (degrees). - * @param[in] lon longitude of the point (degrees). - * @param[in] h the height of the point above the ellipsoid (meters). - * @param[out] Bx the easterly component of the magnetic field (nanotesla). - * @param[out] By the northerly component of the magnetic field (nanotesla). - * @param[out] Bz the vertical (up) component of the magnetic field - * (nanotesla). - * @param[out] Bxt the rate of change of \e Bx (nT/yr). - * @param[out] Byt the rate of change of \e By (nT/yr). - * @param[out] Bzt the rate of change of \e Bz (nT/yr). - **********************************************************************/ - void Field(double t, double lat, double lon, double h, - [System::Runtime::InteropServices::Out] double% Bx, - [System::Runtime::InteropServices::Out] double% By, - [System::Runtime::InteropServices::Out] double% Bz, - [System::Runtime::InteropServices::Out] double% Bxt, - [System::Runtime::InteropServices::Out] double% Byt, - [System::Runtime::InteropServices::Out] double% Bzt); - - /** - * Create a MagneticCircle object to allow the geomagnetic field at many - * points with constant \e lat, \e h, and \e t and varying \e lon to be - * computed efficiently. - * - * @param[in] t the time (years). - * @param[in] lat latitude of the point (degrees). - * @param[in] h the height of the point above the ellipsoid (meters). - * @exception std::bad_alloc if the memory necessary for creating a - * MagneticCircle can't be allocated. - * @return a MagneticCircle object whose MagneticCircle::Field(double - * lon) member function computes the field at particular values of \e - * lon. - * - * If the field at several points on a circle of latitude need to be - * calculated then creating a MagneticCircle and using its member functions - * will be substantially faster, especially for high-degree models. - **********************************************************************/ - MagneticCircle^ Circle(double t, double lat, double h); - - /** - * Compute various quantities dependent on the magnetic field. - * - * @param[in] Bx the \e x (easterly) component of the magnetic field (nT). - * @param[in] By the \e y (northerly) component of the magnetic field (nT). - * @param[in] Bz the \e z (vertical, up positive) component of the magnetic - * field (nT). - * @param[out] H the horizontal magnetic field (nT). - * @param[out] F the total magnetic field (nT). - * @param[out] D the declination of the field (degrees east of north). - * @param[out] I the inclination of the field (degrees down from - * horizontal). - **********************************************************************/ - static void FieldComponents(double Bx, double By, double Bz, - [System::Runtime::InteropServices::Out] double% H, - [System::Runtime::InteropServices::Out] double% F, - [System::Runtime::InteropServices::Out] double% D, - [System::Runtime::InteropServices::Out] double% I); - - /** - * Compute various quantities dependent on the magnetic field and its rate - * of change. - * - * @param[in] Bx the \e x (easterly) component of the magnetic field (nT). - * @param[in] By the \e y (northerly) component of the magnetic field (nT). - * @param[in] Bz the \e z (vertical, up positive) component of the magnetic - * field (nT). - * @param[in] Bxt the rate of change of \e Bx (nT/yr). - * @param[in] Byt the rate of change of \e By (nT/yr). - * @param[in] Bzt the rate of change of \e Bz (nT/yr). - * @param[out] H the horizontal magnetic field (nT). - * @param[out] F the total magnetic field (nT). - * @param[out] D the declination of the field (degrees east of north). - * @param[out] I the inclination of the field (degrees down from - * horizontal). - * @param[out] Ht the rate of change of \e H (nT/yr). - * @param[out] Ft the rate of change of \e F (nT/yr). - * @param[out] Dt the rate of change of \e D (degrees/yr). - * @param[out] It the rate of change of \e I (degrees/yr). - **********************************************************************/ - static void FieldComponents(double Bx, double By, double Bz, - double Bxt, double Byt, double Bzt, - [System::Runtime::InteropServices::Out] double% H, - [System::Runtime::InteropServices::Out] double% F, - [System::Runtime::InteropServices::Out] double% D, - [System::Runtime::InteropServices::Out] double% I, - [System::Runtime::InteropServices::Out] double% Ht, - [System::Runtime::InteropServices::Out] double% Ft, - [System::Runtime::InteropServices::Out] double% Dt, - [System::Runtime::InteropServices::Out] double% It); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return the description of the magnetic model, if available, from the - * Description file in the data file; if absent, return "NONE". - **********************************************************************/ - property System::String^ Description { System::String^ get(); } - - /** - * @return date of the model, if available, from the ReleaseDate field in - * the data file; if absent, return "UNKNOWN". - **********************************************************************/ - property System::String^ DateTime { System::String^ get(); } - - /** - * @return full file name used to load the magnetic model. - **********************************************************************/ - property System::String^ MagneticFile { System::String^ get(); } - - /** - * @return "name" used to load the magnetic model (from the first argument - * of the constructor, but this may be overridden by the model file). - **********************************************************************/ - property System::String^ MagneticModelName { System::String^ get(); } - - /** - * @return directory used to load the magnetic model. - **********************************************************************/ - property System::String^ MagneticModelDirectory { System::String^ get(); } - - /** - * @return the minimum height above the ellipsoid (in meters) for which - * this MagneticModel should be used. - * - * Because the model will typically provide useful results - * slightly outside the range of allowed heights, no check of \e t - * argument is made by MagneticModel::Field() or - * MagneticModel::Circle. - **********************************************************************/ - property double MinHeight { double get(); } - - /** - * @return the maximum height above the ellipsoid (in meters) for which - * this MagneticModel should be used. - * - * Because the model will typically provide useful results - * slightly outside the range of allowed heights, no check of \e t - * argument is made by MagneticModel::Field() or - * MagneticModel::Circle. - **********************************************************************/ - property double MaxHeight { double get(); } - - /** - * @return the minimum time (in years) for which this MagneticModel should - * be used. - * - * Because the model will typically provide useful results - * slightly outside the range of allowed times, no check of \e t - * argument is made by MagneticModel::Field() or - * MagneticModel::Circle. - **********************************************************************/ - property double MinTime { double get(); } - - /** - * @return the maximum time (in years) for which this MagneticModel should - * be used. - * - * Because the model will typically provide useful results - * slightly outside the range of allowed times, no check of \e t - * argument is made by MagneticModel::Field() or - * MagneticModel::Circle. - **********************************************************************/ - property double MaxTime { double get(); } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value of \e a inherited from the Geocentric object used in the - * constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geocentric object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - ///@} - - /** - * @return the default path for magnetic model data files. - * - * This is the value of the environment variable - * GEOGRAPHICLIB_MAGNETIC_PATH, if set; otherwise, it is - * $GEOGRAPHICLIB_DATA/magnetic if the environment variable - * GEOGRAPHICLIB_DATA is set; otherwise, it is a compile-time default - * (/usr/local/share/GeographicLib/magnetic on non-Windows systems and - * C:/ProgramData/GeographicLib/magnetic on Windows systems). - **********************************************************************/ - static System::String^ DefaultMagneticPath(); - - /** - * @return the default name for the magnetic model. - * - * This is the value of the environment variable - * GEOGRAPHICLIB_MAGNETIC_NAME, if set, otherwise, it is "wmm2020". - * The MagneticModel class does not use this function; it is just - * provided as a convenience for a calling program when constructing a - * MagneticModel object. - **********************************************************************/ - static System::String^ DefaultMagneticName(); - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NETGeographicLib.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NETGeographicLib.cpp deleted file mode 100644 index a121bf8fdaa9938687c3ca0456fc4e0e89ed42c9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NETGeographicLib.cpp +++ /dev/null @@ -1,57 +0,0 @@ -/** - * \file NETGeographicLib/NETGeographicLib.cpp - * \brief Implementation for NETGeographicLib Utility functions. - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Config.h" -#include "GeographicLib/Utility.hpp" -#include "NETGeographicLib.h" - -using namespace System::Runtime::InteropServices; -using namespace NETGeographicLib; - -//***************************************************************************** -std::string StringConvert::ManagedToUnmanaged( System::String^ s ) -{ - System::IntPtr buffer = Marshal::StringToHGlobalAnsi(s); - std::string output( reinterpret_cast(buffer.ToPointer()) ); - Marshal::FreeHGlobal(buffer); - return output; -} - -//***************************************************************************** -System::String^ VersionInfo::GetString() -{ - return gcnew System::String(GEOGRAPHICLIB_VERSION_STRING); -} - -//***************************************************************************** -int VersionInfo::MajorVersion() -{ - return GEOGRAPHICLIB_VERSION_MAJOR; -} - -//***************************************************************************** -int VersionInfo::MinorVersion() -{ - return GEOGRAPHICLIB_VERSION_MINOR; -} - -//***************************************************************************** -int VersionInfo::Patch() -{ - return GEOGRAPHICLIB_VERSION_PATCH; -} - -//***************************************************************************** -double Utility::FractionalYear( System::String^ s ) -{ - return GeographicLib::Utility::fractionalyear( - StringConvert::ManagedToUnmanaged( s ) ); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NETGeographicLib.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NETGeographicLib.h deleted file mode 100644 index e097adb23d2f7fbe5b811c3b96b68375efa28428..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NETGeographicLib.h +++ /dev/null @@ -1,290 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/NETGeographicLib.h - * \brief Header for NETGeographicLib::NETGeographicLib objects - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include - -using namespace System; - -namespace NETGeographicLib -{ - enum class captype { - CAP_NONE = 0U, - CAP_C1 = 1U<<0, - CAP_C1p = 1U<<1, - CAP_C2 = 1U<<2, - CAP_C3 = 1U<<3, - CAP_C4 = 1U<<4, - CAP_ALL = 0x1FU, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80U, - OUT_MASK = 0xFF80U, - }; - - /** - * Bit masks for what calculations to do. These masks do double duty. - * They signify to the GeodesicLine::GeodesicLine constructor and to - * Geodesic::Line what capabilities should be included in the GeodesicLine - * object. They also specify which results to return in the general - * routines Geodesic::GenDirect and Geodesic::GenInverse routines. - **********************************************************************/ - public enum class Mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLine because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7 | unsigned(captype::CAP_NONE), - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8 | unsigned(captype::CAP_C3), - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLine because this is included - * by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9 | unsigned(captype::CAP_NONE), - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10 | unsigned(captype::CAP_C1), - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = 1U<<11 | unsigned(captype::CAP_C1) | - unsigned(captype::CAP_C1p), - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = 1U<<12 | unsigned(captype::CAP_C1) | - unsigned(captype::CAP_C2), - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = 1U<<13 | unsigned(captype::CAP_C1) | - unsigned(captype::CAP_C2), - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14 | unsigned(captype::CAP_C4), - /** - * Do not wrap the \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * All capabilities, calculate everything. - * @hideinitializer - **********************************************************************/ - ALL = unsigned(captype::OUT_ALL) | unsigned(captype::CAP_ALL), - }; - - /** - * @brief The version information. - **********************************************************************/ - public ref class VersionInfo - { - private: - VersionInfo() {} - public: - /** - * @return The version string. - *******************************************************************/ - static System::String^ GetString(); - /** - * @return The major version. - *******************************************************************/ - static int MajorVersion(); - /** - * @return The minor version. - *******************************************************************/ - static int MinorVersion(); - /** - * @return The patch number. - *******************************************************************/ - static int Patch(); - }; - - /** - * @brief Exception class for NETGeographicLib - **********************************************************************/ - public ref class GeographicErr : public System::Exception - { - public: - /** - * @brief Creates an exception using an unmanaged string. - * @param[in] msg The error string. - ******************************************************************/ - GeographicErr( const char* msg ) : - System::Exception( gcnew System::String( msg ) ) {} - /** - * @brief Creates an exception using a managed string. - * @param[in] msg The error string. - ******************************************************************/ - GeographicErr( System::String^ msg ) : System::Exception( msg ) {} - }; - - ref class StringConvert - { - StringConvert() {} - public: - static std::string ManagedToUnmanaged( System::String^ s ); - static System::String^ UnmanagedToManaged( const std::string& s ) - { return gcnew System::String( s.c_str() ); } - }; - - /** - * @brief Physical constants - * - * References:
- * http://www.orekit.org/static/apidocs/org/orekit/utils/Constants.html
- * A COMPENDIUM OF EARTH CONSTANTS RELEVANT TO AUSTRALIAN GEODETIC SCIENCE
- * http://espace.library.curtin.edu.au/R?func=dbin-jump-full&local_base=gen01-era02&object_id=146669 - **********************************************************************/ - public ref class Constants - { - private: - Constants() {} - public: - - /** - * @brief WGS72 Parameters - **********************************************************************/ - ref class WGS72 - { - private: - WGS72() {} - // The equatorial radius in meters. - static const double m_EquatorialRadius = 6378135.0; - // The flattening of the ellipsoid - static const double m_Flattening = 1.0 / 298.26; - // The gravitational constant in meters3/second2. - static const double m_GravitationalConstant = 3.986008e+14; - // The spin rate of the Earth in radians/second. - static const double m_EarthRate = 7.292115147e-5; - // dynamical form factor - static const double m_J2 = 1.0826158e-3; - public: - //! The equatorial radius in meters. - static property double EquatorialRadius { double get() { return m_EquatorialRadius; } } - //! The flattening of the ellipsoid - static property double Flattening { double get() { return m_Flattening; } } - //! The gravitational constant in meters3/second2. - static property double GravitationalConstant { double get() { return m_GravitationalConstant; } } - //! The spin rate of the Earth in radians/second. - static property double EarthRate { double get() { return m_EarthRate; } } - //! The dynamical form factor (J2). - static property double J2 { double get() { return m_J2; } } - }; - - /** - * @brief WGS84 Parameters - **********************************************************************/ - ref class WGS84 - { - private: - WGS84() {} - // The equatorial radius in meters. - static const double m_EquatorialRadius = 6378137.0; - // The flattening of the ellipsoid - static const double m_Flattening = 1.0 / 298.257223563; - // The gravitational constant in meters3/second2. - // I have also seen references that set this value to 3.986004418e+14. - // The following value is used to maintain consistency with GeographicLib. - static const double m_GravitationalConstant = 3.986005e+14; - // The spin rate of the Earth in radians/second. - static const double m_EarthRate = 7.292115e-5; - // dynamical form factor - static const double m_J2 = 1.08263e-3; - public: - //! The equatorial radius in meters. - static property double EquatorialRadius { double get() { return m_EquatorialRadius; } } - //! The flattening of the ellipsoid - static property double Flattening { double get() { return m_Flattening; } } - //! The gravitational constant in meters3/second2. - static property double GravitationalConstant { double get() { return m_GravitationalConstant; } } - //! The spin rate of the Earth in radians/second. - static property double EarthRate { double get() { return m_EarthRate; } } - //! The dynamical form factor (J2). - static property double J2 { double get() { return m_J2; } } - }; - - /** - * @brief GRS80 Parameters - **********************************************************************/ - ref class GRS80 - { - private: - GRS80() {} - // The equatorial radius in meters. - static const double m_EquatorialRadius = 6378137.0; - // The flattening of the ellipsoid - static const double m_Flattening = 1.0 / 298.257222100882711; - // The gravitational constant in meters3/second2. - static const double m_GravitationalConstant = 3.986005e+14; - // The spin rate of the Earth in radians/second. - static const double m_EarthRate = 7.292115e-5; - // dynamical form factor - static const double m_J2 = 1.08263e-3; - public: - //! The equatorial radius in meters. - static property double EquatorialRadius { double get() { return m_EquatorialRadius; } } - //! The flattening of the ellipsoid - static property double Flattening { double get() { return m_Flattening; } } - //! The gravitational constant in meters3/second2. - static property double GravitationalConstant { double get() { return m_GravitationalConstant; } } - //! The spin rate of the Earth in radians/second. - static property double EarthRate { double get() { return m_EarthRate; } } - //! The dynamical form factor (J2). - static property double J2 { double get() { return m_J2; } } - }; - }; - - /** - * @brief Utility library. - * - * This class only exposes the GeographicLib::Utility::fractionalyear - * function. - **********************************************************************/ - public ref class Utility - { - private: - // hide the constructor since all members of this class are static - Utility() {} - public: - /** - * Convert a string representing a date to a fractional year. - * - * @param[in] s the string to be converted. - * @exception GeographicErr if \e s can't be interpreted as a date. - * @return the fractional year. - * - * The string is first read as an ordinary number (e.g., 2010 or 2012.5); - * if this is successful, the value is returned. Otherwise the string - * should be of the form yyyy-mm or yyyy-mm-dd and this is converted to a - * number with 2010-01-01 giving 2010.0 and 2012-07-03 giving 2012.5. - **********************************************************************/ - static double FractionalYear( System::String^ s ); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NormalGravity.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NormalGravity.cpp deleted file mode 100644 index 7e2acee46259295c29069f6bd512b7961d884baf..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NormalGravity.cpp +++ /dev/null @@ -1,200 +0,0 @@ -/** - * \file NETGeographicLib/NormalGravity.cpp - * \brief Implementation for NETGeographicLib::NormalGravity class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/NormalGravity.hpp" -#include "NormalGravity.h" -#include "Geocentric.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::NormalGravity"; - -//***************************************************************************** -NormalGravity::!NormalGravity(void) -{ - if ( m_pNormalGravity != NULL ) - { - delete m_pNormalGravity; - m_pNormalGravity = NULL; - } -} - -//***************************************************************************** -NormalGravity::NormalGravity(double a, double GM, double omega, double f_J2, bool geometricp) -{ - try - { - m_pNormalGravity = new GeographicLib::NormalGravity( a, GM, omega, f_J2, geometricp ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -NormalGravity::NormalGravity(StandardModels model) -{ - try - { - m_pNormalGravity = model == StandardModels::WGS84 ? - new GeographicLib::NormalGravity( GeographicLib::NormalGravity::WGS84() ) : - new GeographicLib::NormalGravity( GeographicLib::NormalGravity::GRS80() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -NormalGravity::NormalGravity( const GeographicLib::NormalGravity& g) -{ - try - { - m_pNormalGravity = new GeographicLib::NormalGravity( g ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -double NormalGravity::SurfaceGravity(double lat) -{ - return m_pNormalGravity->SurfaceGravity( lat ); -} - -//***************************************************************************** -double NormalGravity::Gravity(double lat, double h, - [System::Runtime::InteropServices::Out] double% gammay, - [System::Runtime::InteropServices::Out] double% gammaz) -{ - double ly, lz; - double out = m_pNormalGravity->Gravity( lat, h, ly, lz ); - gammay = ly; - gammaz = lz; - return out; -} - -//***************************************************************************** -double NormalGravity::U(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% gammaX, - [System::Runtime::InteropServices::Out] double% gammaY, - [System::Runtime::InteropServices::Out] double% gammaZ) -{ - double lx, ly, lz; - double out = m_pNormalGravity->U( X, Y, Z, lx, ly, lz ); - gammaX = lx; - gammaY = ly; - gammaZ = lz; - return out; -} - -//***************************************************************************** -double NormalGravity::V0(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% GammaX, - [System::Runtime::InteropServices::Out] double% GammaY, - [System::Runtime::InteropServices::Out] double% GammaZ) -{ - double lx, ly, lz; - double out = m_pNormalGravity->V0( X, Y, Z, lx, ly, lz ); - GammaX = lx; - GammaY = ly; - GammaZ = lz; - return out; -} - -//***************************************************************************** -double NormalGravity::Phi(double X, double Y, - [System::Runtime::InteropServices::Out] double% fX, - [System::Runtime::InteropServices::Out] double% fY) -{ - double lx, ly; - double out = m_pNormalGravity->Phi( X, Y, lx, ly ); - fX = lx; - fY = ly; - return out; -} - -//***************************************************************************** -Geocentric^ NormalGravity::Earth() -{ - return gcnew Geocentric( m_pNormalGravity->Earth() ); -} - -//***************************************************************************** -double NormalGravity::EquatorialRadius::get() -{ return m_pNormalGravity->EquatorialRadius(); } - -//***************************************************************************** -double NormalGravity::MassConstant::get() -{ return m_pNormalGravity->MassConstant(); } - -//***************************************************************************** -double NormalGravity::DynamicalFormFactor(int n) -{ return m_pNormalGravity->DynamicalFormFactor(n); } - -//***************************************************************************** -double NormalGravity::AngularVelocity::get() -{ return m_pNormalGravity->AngularVelocity(); } - -//***************************************************************************** -double NormalGravity::Flattening::get() -{ return m_pNormalGravity->Flattening(); } - -//***************************************************************************** -double NormalGravity::EquatorialGravity::get() -{ return m_pNormalGravity->EquatorialGravity(); } - -//***************************************************************************** -double NormalGravity::PolarGravity::get() -{ return m_pNormalGravity->PolarGravity(); } - -//***************************************************************************** -double NormalGravity::GravityFlattening::get() -{ return m_pNormalGravity->GravityFlattening(); } - -//***************************************************************************** -double NormalGravity::SurfacePotential::get() -{ return m_pNormalGravity->SurfacePotential(); } - -//***************************************************************************** -NormalGravity^ NormalGravity::WGS84() -{ - return gcnew NormalGravity( StandardModels::WGS84 ); -} - -//***************************************************************************** -NormalGravity^ NormalGravity::GRS80() -{ - return gcnew NormalGravity( StandardModels::GRS80 ); -} - -//***************************************************************************** -double NormalGravity::J2ToFlattening(double a, double GM, double omega, - double J2) -{ - return GeographicLib::NormalGravity::J2ToFlattening( a, GM, omega, J2); -} - -//***************************************************************************** -double NormalGravity::FlatteningToJ2(double a, double GM, double omega, - double f) -{ - return GeographicLib::NormalGravity::FlatteningToJ2( a, GM, omega, f); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NormalGravity.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NormalGravity.h deleted file mode 100644 index 5eea671f84819181eed8df7f9f58a73d7e30cd2d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/NormalGravity.h +++ /dev/null @@ -1,365 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/NormalGravity.h - * \brief Header for NETGeographicLib::NormalGravity class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class Geocentric; - /** - * \brief .NET wrapper for GeographicLib::NormalGravity. - * - * This class allows .NET applications to access GeographicLib::NormalGravity. - * - * "Normal" gravity refers to an idealization of the earth which is modeled - * as an rotating ellipsoid. The eccentricity of the ellipsoid, the rotation - * speed, and the distribution of mass within the ellipsoid are such that the - * surface of the ellipsoid is a surface of constant potential (gravitational - * plus centrifugal). The acceleration due to gravity is therefore - * perpendicular to the surface of the ellipsoid. - * - * There is a closed solution to this problem which is implemented here. - * Series "approximations" are only used to evaluate certain combinations of - * elementary functions where use of the closed expression results in a loss - * of accuracy for small arguments due to cancellation of the two leading - * terms. However these series include sufficient terms to give full machine - * precision. - * - * Definitions: - * - V0, the gravitational contribution to the normal - * potential; - * - Φ, the rotational contribution to the normal potential; - * - \e U = V0 + Φ, the total - * potential; - * - Γ = ∇V0, the acceleration due to - * mass of the earth; - * - f = ∇Φ, the centrifugal acceleration; - * - γ = ∇\e U = Γ + f, the normal - * acceleration; - * - \e X, \e Y, \e Z, geocentric coordinates; - * - \e x, \e y, \e z, local cartesian coordinates used to denote the east, - * north and up directions. - * - * References: - * - W. A. Heiskanen and H. Moritz, Physical Geodesy (Freeman, San - * Francisco, 1967), Secs. 1-19, 2-7, 2-8 (2-9, 2-10), 6-2 (6-3). - * - H. Moritz, Geodetic Reference System 1980, J. Geodesy 54(3), 395-405 - * (1980) https://doi.org/10.1007/BF02521480 - * - * C# Example: - * \include example-NormalGravity.cs - * Managed C++ Example: - * \include example-NormalGravity.cpp - * Visual Basic Example: - * \include example-NormalGravity.vb - * - * INTERFACE DIFFERENCES:
- * A constructor has been provided for creating standard WGS84 and GRS80 - * gravity models. - * - * The following functions are implemented as properties: - * EquatorialRadius, MassConstant, AngularVelocity, Flattening, - * EquatorialGravity, PolarGravity, GravityFlattening, SurfacePotential. - **********************************************************************/ - public ref class NormalGravity - { - private: - // a pointer to the unmanaged GeographicLib::NormalGravity. - const GeographicLib::NormalGravity* m_pNormalGravity; - - // the finalizer frees the unmanaged memory when the object is destroyed. - !NormalGravity(void); - public: - //! The enumerated standard gravity models. - enum class StandardModels - { - WGS84, //!< WGS84 gravity model. - GRS80 //!< GRS80 gravity model. - }; - - /** \name Setting up the normal gravity - **********************************************************************/ - ///@{ - /** - * Constructor for the normal gravity. - * - * @param[in] a equatorial radius (meters). - * @param[in] GM mass constant of the ellipsoid - * (meters3/seconds2); this is the product of \e G - * the gravitational constant and \e M the mass of the earth (usually - * including the mass of the earth's atmosphere). - * @param[in] omega the angular velocity (rad s−1). - * @param[in] f_J2 either the flattening of the ellipsoid \e f or the - * the dynamical form factor \e J2. - * @param[out] geometricp if true, then \e f_J2 denotes the - * flattening, else it denotes the dynamical form factor \e J2. - * @exception if \e a is not positive or if the other parameters do not - * obey the restrictions given below. - * - * The shape of the ellipsoid can be given in one of two ways: - * - geometrically (\e geomtricp = true), the ellipsoid is defined by the - * flattening \e f = (\e a − \e b) / \e a, where \e a and \e b are - * the equatorial radius and the polar semi-axis. The parameters should - * obey \e a > 0, \e f < 1. There are no restrictions on \e GM or - * \e omega, in particular, \e GM need not be positive. - * - physically (\e geometricp = false), the ellipsoid is defined by the - * dynamical form factor J2 = (\e C − \e A) / - * Ma2, where \e A and \e C are the equatorial and - * polar moments of inertia and \e M is the mass of the earth. The - * parameters should obey \e a > 0, \e GM > 0 and \e J2 < 1/3 - * − (omega2a3/GM) - * 8/(45π). There is no restriction on \e omega. - **********************************************************************/ - NormalGravity(double a, double GM, double omega, double f_J2, - bool geometricp); - - /** - * A constructor for creating standard gravity models.. - * @param[in] model Specifies the desired model. - **********************************************************************/ - NormalGravity(StandardModels model); - - /** - * A constructor that accepts a GeographicLib::NormalGravity. - * For internal use only. - * @param g An existing GeographicLib::NormalGravity. - **********************************************************************/ - NormalGravity( const GeographicLib::NormalGravity& g); - ///@} - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~NormalGravity() - { this->!NormalGravity(); } - - /** \name Compute the gravity - **********************************************************************/ - ///@{ - /** - * Evaluate the gravity on the surface of the ellipsoid. - * - * @param[in] lat the geographic latitude (degrees). - * @return γ the acceleration due to gravity, positive downwards - * (m s−2). - * - * Due to the axial symmetry of the ellipsoid, the result is independent of - * the value of the longitude. This acceleration is perpendicular to the - * surface of the ellipsoid. It includes the effects of the earth's - * rotation. - **********************************************************************/ - double SurfaceGravity(double lat); - - /** - * Evaluate the gravity at an arbitrary point above (or below) the - * ellipsoid. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] h the height above the ellipsoid (meters). - * @param[out] gammay the northerly component of the acceleration - * (m s−2). - * @param[out] gammaz the upward component of the acceleration - * (m s−2); this is usually negative. - * @return \e U the corresponding normal potential. - * - * Due to the axial symmetry of the ellipsoid, the result is independent of - * the value of the longitude and the easterly component of the - * acceleration vanishes, \e gammax = 0. The function includes the effects - * of the earth's rotation. When \e h = 0, this function gives \e gammay = - * 0 and the returned value matches that of NormalGravity::SurfaceGravity. - **********************************************************************/ - double Gravity(double lat, double h, - [System::Runtime::InteropServices::Out] double% gammay, - [System::Runtime::InteropServices::Out] double% gammaz); - - /** - * Evaluate the components of the acceleration due to gravity and the - * centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] gammaX the \e X component of the acceleration - * (m s−2). - * @param[out] gammaY the \e Y component of the acceleration - * (m s−2). - * @param[out] gammaZ the \e Z component of the acceleration - * (m s−2). - * @return \e U = V0 + Φ the sum of the - * gravitational and centrifugal potentials - * (m2 s−2). - * - * The acceleration given by γ = ∇\e U = - * ∇V0 + ∇Φ = Γ + f. - **********************************************************************/ - double U(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% gammaX, - [System::Runtime::InteropServices::Out] double% gammaY, - [System::Runtime::InteropServices::Out] double% gammaZ); - - /** - * Evaluate the components of the acceleration due to gravity alone in - * geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] GammaX the \e X component of the acceleration due to gravity - * (m s−2). - * @param[out] GammaY the \e Y component of the acceleration due to gravity - * (m s−2). - * @param[out] GammaZ the \e Z component of the acceleration due to gravity - * (m s−2). - * @return V0 the gravitational potential - * (m2 s−2). - * - * This function excludes the centrifugal acceleration and is appropriate - * to use for space applications. In terrestrial applications, the - * function NormalGravity::U (which includes this effect) should usually be - * used. - **********************************************************************/ - double V0(double X, double Y, double Z, - [System::Runtime::InteropServices::Out] double% GammaX, - [System::Runtime::InteropServices::Out] double% GammaY, - [System::Runtime::InteropServices::Out] double% GammaZ); - - /** - * Evaluate the centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[out] fX the \e X component of the centrifugal acceleration - * (m s−2). - * @param[out] fY the \e Y component of the centrifugal acceleration - * (m s−2). - * @return Φ the centrifugal potential (m2 - * s−2). - * - * Φ is independent of \e Z, thus \e fZ = 0. This function - * NormalGravity::U sums the results of NormalGravity::V0 and - * NormalGravity::Phi. - **********************************************************************/ - double Phi(double X, double Y, - [System::Runtime::InteropServices::Out] double% fX, - [System::Runtime::InteropServices::Out] double% fY); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e GM the mass constant of the ellipsoid - * (m3 s−2). This is the value used in the - * constructor. - **********************************************************************/ - property double MassConstant { double get(); } - - /** - * @return \e Jn the dynamical form factors of the ellipsoid. - * - * If \e n = 2 (the default), this is the value of J2 - * used in the constructor. Otherwise it is the zonal coefficient of the - * Legendre harmonic sum of the normal gravitational potential. Note that - * \e Jn = 0 if \e n is odd. In most gravity applications, - * fully normalized Legendre functions are used and the corresponding - * coefficient is Cn0 = −\e Jn / - * sqrt(2 \e n + 1). - **********************************************************************/ - double DynamicalFormFactor(int n); - - /** - * @return ω the angular velocity of the ellipsoid (rad - * s−1). This is the value used in the constructor. - **********************************************************************/ - property double AngularVelocity { double get(); } - - /** - * @return f the flattening of the ellipsoid (\e a − \e b)/\e - * a. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return γe the normal gravity at equator (m - * s−2). - **********************************************************************/ - property double EquatorialGravity { double get(); } - - /** - * @return γp the normal gravity at poles (m - * s−2). - **********************************************************************/ - property double PolarGravity { double get(); } - - /** - * @return f* the gravity flattening (γp − - * γe) / γe. - **********************************************************************/ - property double GravityFlattening { double get(); } - - /** - * @return U0 the constant normal potential for the - * surface of the ellipsoid (m2 s−2). - **********************************************************************/ - property double SurfacePotential { double get(); } - - /** - * @return the Geocentric object used by this instance. - **********************************************************************/ - Geocentric^ Earth(); - ///@} - - /** - * A global instantiation of NormalGravity for the WGS84 ellipsoid. - **********************************************************************/ - static NormalGravity^ WGS84(); - - /** - * A global instantiation of NormalGravity for the GRS80 ellipsoid. - **********************************************************************/ - static NormalGravity^ GRS80(); - - /** - * Compute the flattening from the dynamical form factor. - * - * @param[in] a equatorial radius (meters). - * @param[in] GM mass constant of the ellipsoid - * (meters3/seconds2); this is the product of \e G - * the gravitational constant and \e M the mass of the earth (usually - * including the mass of the earth's atmosphere). - * @param[in] omega the angular velocity (rad s−1). - * @param[in] J2 the dynamical form factor. - * @return \e f the flattening of the ellipsoid. - **********************************************************************/ - static double J2ToFlattening(double a, double GM, double omega, - double J2); - - /** - * Compute the dynamical form factor from the flattening. - * - * @param[in] a equatorial radius (meters). - * @param[in] GM mass constant of the ellipsoid - * (meters3/seconds2); this is the product of \e G - * the gravitational constant and \e M the mass of the earth (usually - * including the mass of the earth's atmosphere). - * @param[in] omega the angular velocity (rad s−1). - * @param[in] f the flattening of the ellipsoid. - * @return \e J2 the dynamical form factor. - **********************************************************************/ - static double FlatteningToJ2(double a, double GM, double omega, - double f); - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/OSGB.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/OSGB.cpp deleted file mode 100644 index ead88d626e63f57a96879443204b3cd00c4ad390..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/OSGB.cpp +++ /dev/null @@ -1,134 +0,0 @@ -/** - * \file NETGeographicLib/OSGB.cpp - * \brief Implementation for NETGeographicLib::OSGB class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/OSGB.hpp" -#include "OSGB.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -void OSGB::Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double lx, ly, lgamma, lk; - GeographicLib::OSGB::Forward( lat, lon, lx, ly, lgamma, lk ); - x = lx; - y = ly; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void OSGB::Reverse(double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double llat, llon, lgamma, lk; - GeographicLib::OSGB::Reverse( x, y, llat, llon, lgamma, lk ); - lat = llat; - lon = llon; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void OSGB::Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y) -{ - double lx, ly; - GeographicLib::OSGB::Forward( lat, lon, lx, ly ); - x = lx; - y = ly; -} - -//***************************************************************************** -void OSGB::Reverse(double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - GeographicLib::OSGB::Reverse( x, y, llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -void OSGB::GridReference(double x, double y, int prec, - [System::Runtime::InteropServices::Out] System::String^% gridref) -{ - try - { - std::string lgridref; - GeographicLib::OSGB::GridReference( x, y, prec, lgridref ); - gridref = gcnew System::String( lgridref.c_str() ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Memory allocation error in OSGB::GridReference" ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void OSGB::GridReference(System::String^ gridref, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] int% prec, - bool centerp ) -{ - try - { - double lx, ly; - int lprec; - GeographicLib::OSGB::GridReference( - StringConvert::ManagedToUnmanaged( gridref ), - lx, ly, lprec, centerp ); - x = lx; - y = ly; - prec = lprec; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -double OSGB::EquatorialRadius() { return GeographicLib::OSGB::EquatorialRadius(); } - -//***************************************************************************** -double OSGB::Flattening() { return GeographicLib::OSGB::Flattening(); } - -//***************************************************************************** -double OSGB::CentralScale() { return GeographicLib::OSGB::CentralScale(); } - -//***************************************************************************** -double OSGB::OriginLatitude() { return GeographicLib::OSGB::OriginLatitude(); } - -//***************************************************************************** -double OSGB::OriginLongitude() -{ return GeographicLib::OSGB::OriginLongitude(); } - -//***************************************************************************** -double OSGB::FalseNorthing() { return GeographicLib::OSGB::FalseNorthing(); } - -//***************************************************************************** -double OSGB::FalseEasting() { return GeographicLib::OSGB::FalseEasting(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/OSGB.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/OSGB.h deleted file mode 100644 index 00c9850cfccdffe91128f7be1260c9b79e31a560..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/OSGB.h +++ /dev/null @@ -1,204 +0,0 @@ -/** - * \file NETGeographicLib/OSGB.h - * \brief Header for NETGeographicLib::OSGB class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#pragma once - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::OSGB. - * - * This class allows .NET applications to access GeographicLib::OSGB. - * - * The class implements the coordinate system used by the Ordnance Survey for - * maps of Great Britain and conversions to the grid reference system. - * - * See - * - - * A guide to coordinate systems in Great Britain - * - - * Guide to the National Grid - * - * \b WARNING: the latitudes and longitudes for the Ordnance Survey grid - * system do not use the WGS84 datum. Do not use the values returned by this - * class in the UTMUPS, MGRS, or Geoid classes without first converting the - * datum (and vice versa). - * - * C# Example: - * \include example-OSGB.cs - * Managed C++ Example: - * \include example-OSGB.cpp - * Visual Basic Example: - * \include example-OSGB.vb - **********************************************************************/ - public ref class OSGB - { - private: - // hide the constructor since all member are static - OSGB(void) {} - public: - - /** - * Forward projection, from geographic to OSGB coordinates. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - static void Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * Reverse projection, from OSGB coordinates to geographic. - * - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * The value of \e lon returned is in the range [−180°, - * 180°). - **********************************************************************/ - - static void Reverse(double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * OSGB::Forward without returning the convergence and scale. - **********************************************************************/ - static void Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * OSGB::Reverse without returning the convergence and scale. - **********************************************************************/ - static void Reverse(double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** - * Convert OSGB coordinates to a grid reference. - * - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[in] prec precision relative to 100 km. - * @param[out] gridref National Grid reference. - * @exception GeographicErr if \e prec, \e x, or \e y is outside its - * allowed range. - * @exception std::bad_alloc if the memory for \e gridref can't be - * allocatied. - * - * \e prec specifies the precision of the grid reference string as follows: - * - prec = 0 (min), 100km - * - prec = 1, 10km - * - prec = 2, 1km - * - prec = 3, 100m - * - prec = 4, 10m - * - prec = 5, 1m - * - prec = 6, 0.1m - * - prec = 11 (max), 1μm - * - * The easting must be in the range [−1000 km, 1500 km) and the - * northing must be in the range [−500 km, 2000 km). These bounds - * are consistent with rules for the letter designations for the grid - * system. - * - * If \e x or \e y is NaN, the returned grid reference is "INVALID". - **********************************************************************/ - static void GridReference(double x, double y, int prec, - [System::Runtime::InteropServices::Out] System::String^% gridref); - - /** - * Convert OSGB coordinates to a grid reference. - * - * @param[in] gridref National Grid reference. - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] prec precision relative to 100 km. - * @param[in] centerp if true (default), return center of the grid square, - * else return SW (lower left) corner. - * @exception GeographicErr if \e gridref is illegal. - * - * The grid reference must be of the form: two letters (not including I) - * followed by an even number of digits (up to 22). - * - * If the first 2 characters of \e gridref are "IN", then \e x and \e y are - * set to NaN and \e prec is set to −2. - **********************************************************************/ - static void GridReference(System::String^ gridref, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] int% prec, - bool centerp ); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the Airy 1830 ellipsoid (meters). - * - * This is 20923713 ft converted to meters using the rule 1 ft = - * 109.48401603−10 m. (The Airy 1830 value is returned - * because the OSGB projection is based on this ellipsoid.) - **********************************************************************/ - static double EquatorialRadius(); - - /** - * @return \e f the inverse flattening of the Airy 1830 ellipsoid. - * - * For the Airy 1830 ellipsoid, \e a = 20923713 ft and \e b = 20853810 ft; - * thus the flattening = (20923713 − 20853810)/20923713 = - * 7767/2324857 = 1/299.32496459... (The Airy 1830 value is returned - * because the OSGB projection is based on this ellipsoid.) - **********************************************************************/ - static double Flattening(); - - /** - * @return \e k0 central scale for the OSGB projection (0.9996012717). - **********************************************************************/ - static double CentralScale(); - - /** - * @return latitude of the origin for the OSGB projection (49 degrees). - **********************************************************************/ - static double OriginLatitude(); - - /** - * @return longitude of the origin for the OSGB projection (−2 - * degrees). - **********************************************************************/ - static double OriginLongitude(); - - /** - * @return false northing the OSGB projection (−100000 meters). - **********************************************************************/ - static double FalseNorthing(); - - /** - * @return false easting the OSGB projection (400000 meters). - **********************************************************************/ - static double FalseEasting(); - ///@} - }; -} // diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolarStereographic.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolarStereographic.cpp deleted file mode 100644 index d36b36a9bbdc079f7c8c0180bdab469b3e4ddcf9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolarStereographic.cpp +++ /dev/null @@ -1,138 +0,0 @@ -/** - * \file NETGeographicLib/PolarStereographic.cpp - * \brief Implementation for NETGeographicLib::PolarStereographic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/PolarStereographic.hpp" -#include "PolarStereographic.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::PolarStereographic"; - -//***************************************************************************** -PolarStereographic::!PolarStereographic(void) -{ - if ( m_pPolarStereographic != NULL ) - { - delete m_pPolarStereographic; - m_pPolarStereographic = NULL; - } -} - -//***************************************************************************** -PolarStereographic::PolarStereographic(double a, double f, double k0) -{ - try - { - m_pPolarStereographic = new GeographicLib::PolarStereographic( a, f, k0 ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -PolarStereographic::PolarStereographic() -{ - try - { - m_pPolarStereographic = new GeographicLib::PolarStereographic( - GeographicLib::PolarStereographic::UPS() ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void PolarStereographic::SetScale(double lat, double k) -{ - try - { - m_pPolarStereographic->SetScale( lat, k ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void PolarStereographic::Forward(bool northp, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double lx, ly, lgamma, lk; - m_pPolarStereographic->Forward( northp, lat, lon, - lx, ly, lgamma, lk ); - x = lx; - y = ly; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void PolarStereographic::Reverse(bool northp, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double llat, llon, lgamma, lk; - m_pPolarStereographic->Reverse( northp, x, y, - llat, llon, lgamma, lk ); - lat = llat; - lon = llon; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void PolarStereographic::Forward(bool northp, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y) -{ - double lx, ly; - m_pPolarStereographic->Forward( northp, lat, lon, lx, ly ); - x = lx; - y = ly; -} - -//***************************************************************************** -void PolarStereographic::Reverse(bool northp, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - m_pPolarStereographic->Reverse( northp, x, y, llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double PolarStereographic::EquatorialRadius::get() -{ return m_pPolarStereographic->EquatorialRadius(); } - -//***************************************************************************** -double PolarStereographic::Flattening::get() -{ return m_pPolarStereographic->Flattening(); } - -//***************************************************************************** -double PolarStereographic::CentralScale::get() -{ return m_pPolarStereographic->CentralScale(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolarStereographic.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolarStereographic.h deleted file mode 100644 index fd6e69c8c2ee466f02e14571db7a9b2296fa1f77..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolarStereographic.h +++ /dev/null @@ -1,173 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/PolarStereographic.h - * \brief Header for NETGeographicLib::PolarStereographic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /*! - \brief .NET wrapper for GeographicLib::PolarStereographic. - - This class allows .NET applications to access GeographicLib::PolarStereographic. - */ - /** - * \brief .NET wrapper for GeographicLib::PolarStereographic. - * - * This class allows .NET applications to access GeographicLib::PolarStereographic. - * - * Implementation taken from the report, - * - J. P. Snyder, - * Map Projections: A - * Working Manual, USGS Professional Paper 1395 (1987), - * pp. 160--163. - * - * This is a straightforward implementation of the equations in Snyder except - * that Newton's method is used to invert the projection. - * - * C# Example: - * \include example-PolarStereographic.cs - * Managed C++ Example: - * \include example-PolarStereographic.cpp - * Visual Basic Example: - * \include example-PolarStereographic.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor is provided that assumes WGS84 parameters and - * a UPS scale factor. - * - * The EquatorialRadius, Flattening, and CentralScale functions are - * implemented as properties. - **********************************************************************/ - public ref class PolarStereographic - { - private: - // pointer to the unmanaged GeographicLib::PolarStereographic - GeographicLib::PolarStereographic* m_pPolarStereographic; - - // the finalizer frees the unmanaged memory when the object is destroyed. - !PolarStereographic(void); - public: - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] k0 central scale factor. - * @exception GeographicErr if \e a, (1 − \e f ) \e a, or \e k0 is - * not positive. - **********************************************************************/ - PolarStereographic(double a, double f, double k0); - - /** - * An instantiation of PolarStereographic with the WGS84 ellipsoid - * and the UPS scale factor. - **********************************************************************/ - PolarStereographic(); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~PolarStereographic() - { this->!PolarStereographic(); } - - /** - * Set the scale for the projection. - * - * @param[in] lat (degrees) assuming \e northp = true. - * @param[in] k scale at latitude \e lat - * @exception GeographicErr \e k is not positive. - * @exception GeographicErr if \e lat is not in (−90°, - * 90°] or this object was created with the default constructor. - **********************************************************************/ - void SetScale(double lat, double k); - - /** - * Forward projection, from geographic to polar stereographic. - * - * @param[in] northp the pole which is the center of projection (true means - * north, false means south). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. \e lat should be in the range - * (−90°, 90°] for \e northp = true and in the range - * [−90°, 90°) for \e northp = false. - **********************************************************************/ - void Forward(bool northp, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * Reverse projection, from polar stereographic to geographic. - * - * @param[in] northp the pole which is the center of projection (true means - * north, false means south). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. The value of \e lon returned is - * in the range [−180°, 180°). - **********************************************************************/ - void Reverse(bool northp, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * PolarStereographic::Forward without returning the convergence and scale. - **********************************************************************/ - void Forward(bool northp, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * PolarStereographic::Reverse without returning the convergence and scale. - **********************************************************************/ - void Reverse(bool northp, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value used in - * the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * The central scale for the projection. This is the value of \e k0 used - * in the constructor and is the scale at the pole unless overridden by - * PolarStereographic::SetScale. - **********************************************************************/ - property double CentralScale { double get(); } - ///@} - }; -} //namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolygonArea.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolygonArea.cpp deleted file mode 100644 index 8cfe4d78790bee131cccd27edbd8b171eeba06f3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolygonArea.cpp +++ /dev/null @@ -1,354 +0,0 @@ -/** - * \file NETGeographicLib/PolygonArea.cpp - * \brief Implementation for NETGeographicLib::PolygonArea class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/PolygonArea.hpp" -#include "PolygonArea.h" -#include "Geodesic.h" -#include "GeodesicExact.h" -#include "Rhumb.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::PolygonArea"; - -//***************************************************************************** -PolygonArea::!PolygonArea(void) -{ - if ( m_pPolygonArea != NULL ) - { - delete m_pPolygonArea; - m_pPolygonArea = NULL; - } -} - -//***************************************************************************** -PolygonArea::PolygonArea(Geodesic^ earth, bool polyline ) -{ - try - { - const GeographicLib::Geodesic* pGeodesic = - reinterpret_cast( - earth->GetUnmanaged()->ToPointer() ); - m_pPolygonArea = new GeographicLib::PolygonArea( *pGeodesic, polyline ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -PolygonArea::PolygonArea(const bool polyline ) -{ - try - { - m_pPolygonArea = new GeographicLib::PolygonArea( - GeographicLib::Geodesic::WGS84(), polyline ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void PolygonArea::Clear() { m_pPolygonArea->Clear(); } - -//***************************************************************************** -void PolygonArea::AddPoint(double lat, double lon) -{ - m_pPolygonArea->AddPoint( lat, lon ); -} - -//***************************************************************************** -void PolygonArea::AddEdge(double azi, double s) -{ - m_pPolygonArea->AddEdge( azi, s ); -} - -//***************************************************************************** -unsigned PolygonArea::Compute(bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->Compute( reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -unsigned PolygonArea::TestPoint(double lat, double lon, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->TestPoint( lat, lon, reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -unsigned PolygonArea::TestEdge(double azi, double s, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->TestEdge( azi, s, reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -void PolygonArea::CurrentPoint( - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - m_pPolygonArea->CurrentPoint( llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double PolygonArea::EquatorialRadius::get() -{ return m_pPolygonArea->EquatorialRadius(); } - -//***************************************************************************** -double PolygonArea::Flattening::get() { return m_pPolygonArea->Flattening(); } - -//***************************************************************************** -// PolygonAreaExact -//***************************************************************************** -PolygonAreaExact::!PolygonAreaExact(void) -{ - if ( m_pPolygonArea != NULL ) - { - delete m_pPolygonArea; - m_pPolygonArea = NULL; - } -} - -//***************************************************************************** -PolygonAreaExact::PolygonAreaExact(GeodesicExact^ earth, bool polyline ) -{ - try - { - const GeographicLib::GeodesicExact* pGeodesic = - reinterpret_cast( - earth->GetUnmanaged()->ToPointer() ); - m_pPolygonArea = new GeographicLib::PolygonAreaExact( *pGeodesic, polyline ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -PolygonAreaExact::PolygonAreaExact(const bool polyline ) -{ - try - { - m_pPolygonArea = new GeographicLib::PolygonAreaExact( - GeographicLib::GeodesicExact::WGS84(), polyline ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void PolygonAreaExact::Clear() { m_pPolygonArea->Clear(); } - -//***************************************************************************** -void PolygonAreaExact::AddPoint(double lat, double lon) -{ - m_pPolygonArea->AddPoint( lat, lon ); -} - -//***************************************************************************** -void PolygonAreaExact::AddEdge(double azi, double s) -{ - m_pPolygonArea->AddEdge( azi, s ); -} - -//***************************************************************************** -unsigned PolygonAreaExact::Compute(bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->Compute( reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -unsigned PolygonAreaExact::TestPoint(double lat, double lon, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->TestPoint( lat, lon, reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -unsigned PolygonAreaExact::TestEdge(double azi, double s, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->TestEdge( azi, s, reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -void PolygonAreaExact::CurrentPoint( - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - m_pPolygonArea->CurrentPoint( llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double PolygonAreaExact::EquatorialRadius::get() -{ return m_pPolygonArea->EquatorialRadius(); } - -//***************************************************************************** -double PolygonAreaExact::Flattening::get() -{ return m_pPolygonArea->Flattening(); } - -//***************************************************************************** -// PolygonAreaRhumb -//***************************************************************************** -PolygonAreaRhumb::!PolygonAreaRhumb(void) -{ - if ( m_pPolygonArea != NULL ) - { - delete m_pPolygonArea; - m_pPolygonArea = NULL; - } -} - -//***************************************************************************** -PolygonAreaRhumb::PolygonAreaRhumb(Rhumb^ earth, bool polyline ) -{ - try - { - const GeographicLib::Rhumb* pGeodesic = - reinterpret_cast( - earth->GetUnmanaged()->ToPointer() ); - m_pPolygonArea = new GeographicLib::PolygonAreaRhumb( *pGeodesic, polyline ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -PolygonAreaRhumb::PolygonAreaRhumb(const bool polyline ) -{ - try - { - m_pPolygonArea = new GeographicLib::PolygonAreaRhumb( - GeographicLib::Rhumb::WGS84(), polyline ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void PolygonAreaRhumb::Clear() { m_pPolygonArea->Clear(); } - -//***************************************************************************** -void PolygonAreaRhumb::AddPoint(double lat, double lon) -{ - m_pPolygonArea->AddPoint( lat, lon ); -} - -//***************************************************************************** -void PolygonAreaRhumb::AddEdge(double azi, double s) -{ - m_pPolygonArea->AddEdge( azi, s ); -} - -//***************************************************************************** -unsigned PolygonAreaRhumb::Compute(bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->Compute( reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -unsigned PolygonAreaRhumb::TestPoint(double lat, double lon, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->TestPoint( lat, lon, reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -unsigned PolygonAreaRhumb::TestEdge(double azi, double s, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area) -{ - double lperimeter, larea; - unsigned out = m_pPolygonArea->TestEdge( azi, s, reverse, sign, lperimeter, larea ); - perimeter = lperimeter; - area = larea; - return out; -} - -//***************************************************************************** -void PolygonAreaRhumb::CurrentPoint( - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - m_pPolygonArea->CurrentPoint( llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double PolygonAreaRhumb::EquatorialRadius::get() -{ return m_pPolygonArea->EquatorialRadius(); } - -//***************************************************************************** -double PolygonAreaRhumb::Flattening::get() -{ return m_pPolygonArea->Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolygonArea.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolygonArea.h deleted file mode 100644 index 4f5e65395b4f6b22d52a41d7d6b2220c5e0e24f9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/PolygonArea.h +++ /dev/null @@ -1,547 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/PolygonArea.h - * \brief Header for NETGeographicLib::PolygonArea class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class Geodesic; - /** - * \brief .NET wrapper for GeographicLib::PolygonArea and PolygonAreaExact. - * - * This class allows .NET applications to access GeographicLib::PolygonArea. - * - * This computes the area of a geodesic polygon using the method given - * Section 6 of - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * geod-addenda.html. - * - * This class lets you add vertices one at a time to the polygon. The area - * and perimeter are accumulated in two times the standard floating point - * precision to guard against the loss of accuracy with many-sided polygons. - * At any point you can ask for the perimeter and area so far. There's an - * option to treat the points as defining a polyline instead of a polygon; in - * that case, only the perimeter is computed. - * - * C# Example: - * \include example-PolygonArea.cs - * Managed C++ Example: - * \include example-PolygonArea.cpp - * Visual Basic Example: - * \include example-PolygonArea.vb - * - * INTERFACE DIFFERENCES:
- * The EquatorialRadius and Flattening functions are implemented as properties. - **********************************************************************/ - public ref class PolygonArea - { - private: - // a pointer to the unmanaged GeographicLib::PolygonArea - GeographicLib::PolygonArea* m_pPolygonArea; - - // the finalize frees the unmanaged memory when the object is destroyed. - !PolygonArea(void); - public: - - /** - * Constructor for PolygonArea. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - * @param[in] polyline if true that treat the points as defining a polyline - * instead of a polygon. - **********************************************************************/ - PolygonArea(Geodesic^ earth, bool polyline ); - - /** - * Constructor for PolygonArea that assumes a WGS84 ellipsoid. - * - * @param[in] polyline if true that treat the points as defining a polyline - * instead of a polygon. - **********************************************************************/ - PolygonArea(const bool polyline ); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~PolygonArea() - { this->!PolygonArea(); } - - /** - * Clear PolygonArea, allowing a new polygon to be started. - **********************************************************************/ - void Clear(); - - /** - * Add a point to the polygon or polyline. - * - * @param[in] lat the latitude of the point (degrees). - * @param[in] lon the longitude of the point (degrees). - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - void AddPoint(double lat, double lon); - - /** - * Add an edge to the polygon or polyline. - * - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to next point (meters). - * - * This does nothing if no points have been added yet. Use - * PolygonArea::CurrentPoint to determine the position of the new - * vertex. - **********************************************************************/ - void AddEdge(double azi, double s); - - /** - * Return the results so far. - * - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the perimeter of the polygon or length of the - * polyline (meters). - * @param[out] area the area of the polygon (meters2); only set - * if \e polyline is false in the constructor. - * @return the number of points. - **********************************************************************/ - unsigned Compute(bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** - * Return the results assuming a tentative final test point is added; - * however, the data for the test point is not saved. This lets you report - * a running result for the perimeter and area as the user moves the mouse - * cursor. Ordinary floating point arithmetic is used to accumulate the - * data for the test point; thus the area and perimeter returned are less - * accurate than if PolygonArea::AddPoint and PolygonArea::Compute are - * used. - * - * @param[in] lat the latitude of the test point (degrees). - * @param[in] lon the longitude of the test point (degrees). - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the approximate perimeter of the polygon or length - * of the polyline (meters). - * @param[out] area the approximate area of the polygon - * (meters2); only set if polyline is false in the - * constructor. - * @return the number of points. - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - unsigned TestPoint(double lat, double lon, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** - * Return the results assuming a tentative final test point is added via an - * azimuth and distance; however, the data for the test point is not saved. - * This lets you report a running result for the perimeter and area as the - * user moves the mouse cursor. Ordinary floating point arithmetic is used - * to accumulate the data for the test point; thus the area and perimeter - * returned are less accurate than if PolygonArea::AddEdge and - * PolygonArea::Compute are used. - * - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to final test point (meters). - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the approximate perimeter of the polygon or length - * of the polyline (meters). - * @param[out] area the approximate area of the polygon - * (meters2); only set if polyline is false in the - * constructor. - * @return the number of points. - **********************************************************************/ - unsigned TestEdge(double azi, double s, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * Report the previous vertex added to the polygon or polyline. - * - * @param[out] lat the latitude of the point (degrees). - * @param[out] lon the longitude of the point (degrees). - * - * If no points have been added, then NaNs are returned. Otherwise, \e lon - * will be in the range [−180°, 180°). - **********************************************************************/ - void CurrentPoint([System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - ///@} - }; - - //************************************************************************* - // PolygonAreaExact - //************************************************************************* - ref class GeodesicExact; - - public ref class PolygonAreaExact - { - private: - // a pointer to the unmanaged GeographicLib::PolygonArea - GeographicLib::PolygonAreaExact* m_pPolygonArea; - - // the finalize frees the unmanaged memory when the object is destroyed. - !PolygonAreaExact(void); - public: - - /** - * Constructor for PolygonArea. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - * @param[in] polyline if true that treat the points as defining a polyline - * instead of a polygon. - **********************************************************************/ - PolygonAreaExact(GeodesicExact^ earth, bool polyline ); - - /** - * Constructor for PolygonArea that assumes a WGS84 ellipsoid. - * - * @param[in] polyline if true that treat the points as defining a polyline - * instead of a polygon. - **********************************************************************/ - PolygonAreaExact(const bool polyline ); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~PolygonAreaExact() - { this->!PolygonAreaExact(); } - - /** - * Clear PolygonArea, allowing a new polygon to be started. - **********************************************************************/ - void Clear(); - - /** - * Add a point to the polygon or polyline. - * - * @param[in] lat the latitude of the point (degrees). - * @param[in] lon the longitude of the point (degrees). - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - void AddPoint(double lat, double lon); - - /** - * Add an edge to the polygon or polyline. - * - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to next point (meters). - * - * This does nothing if no points have been added yet. Use - * PolygonArea::CurrentPoint to determine the position of the new - * vertex. - **********************************************************************/ - void AddEdge(double azi, double s); - - /** - * Return the results so far. - * - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the perimeter of the polygon or length of the - * polyline (meters). - * @param[out] area the area of the polygon (meters2); only set - * if \e polyline is false in the constructor. - * @return the number of points. - **********************************************************************/ - unsigned Compute(bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** - * Return the results assuming a tentative final test point is added; - * however, the data for the test point is not saved. This lets you report - * a running result for the perimeter and area as the user moves the mouse - * cursor. Ordinary floating point arithmetic is used to accumulate the - * data for the test point; thus the area and perimeter returned are less - * accurate than if PolygonArea::AddPoint and PolygonArea::Compute are - * used. - * - * @param[in] lat the latitude of the test point (degrees). - * @param[in] lon the longitude of the test point (degrees). - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the approximate perimeter of the polygon or length - * of the polyline (meters). - * @param[out] area the approximate area of the polygon - * (meters2); only set if polyline is false in the - * constructor. - * @return the number of points. - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - unsigned TestPoint(double lat, double lon, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** - * Return the results assuming a tentative final test point is added via an - * azimuth and distance; however, the data for the test point is not saved. - * This lets you report a running result for the perimeter and area as the - * user moves the mouse cursor. Ordinary floating point arithmetic is used - * to accumulate the data for the test point; thus the area and perimeter - * returned are less accurate than if PolygonArea::AddEdge and - * PolygonArea::Compute are used. - * - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to final test point (meters). - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the approximate perimeter of the polygon or length - * of the polyline (meters). - * @param[out] area the approximate area of the polygon - * (meters2); only set if polyline is false in the - * constructor. - * @return the number of points. - **********************************************************************/ - unsigned TestEdge(double azi, double s, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * Report the previous vertex added to the polygon or polyline. - * - * @param[out] lat the latitude of the point (degrees). - * @param[out] lon the longitude of the point (degrees). - * - * If no points have been added, then NaNs are returned. Otherwise, \e lon - * will be in the range [−180°, 180°). - **********************************************************************/ - void CurrentPoint([System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - ///@} - }; - - //************************************************************************* - // PolygonAreaRhumb - //************************************************************************* - ref class Rhumb; - - public ref class PolygonAreaRhumb - { - private: - // a pointer to the unmanaged GeographicLib::PolygonArea - GeographicLib::PolygonAreaRhumb* m_pPolygonArea; - - // the finalize frees the unmanaged memory when the object is destroyed. - !PolygonAreaRhumb(void); - public: - - /** - * Constructor for PolygonArea. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - * @param[in] polyline if true that treat the points as defining a polyline - * instead of a polygon. - **********************************************************************/ - PolygonAreaRhumb(Rhumb^ earth, bool polyline ); - - /** - * Constructor for PolygonArea that assumes a WGS84 ellipsoid. - * - * @param[in] polyline if true that treat the points as defining a polyline - * instead of a polygon. - **********************************************************************/ - PolygonAreaRhumb(const bool polyline ); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~PolygonAreaRhumb() - { this->!PolygonAreaRhumb(); } - - /** - * Clear PolygonArea, allowing a new polygon to be started. - **********************************************************************/ - void Clear(); - - /** - * Add a point to the polygon or polyline. - * - * @param[in] lat the latitude of the point (degrees). - * @param[in] lon the longitude of the point (degrees). - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - void AddPoint(double lat, double lon); - - /** - * Add an edge to the polygon or polyline. - * - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to next point (meters). - * - * This does nothing if no points have been added yet. Use - * PolygonArea::CurrentPoint to determine the position of the new - * vertex. - **********************************************************************/ - void AddEdge(double azi, double s); - - /** - * Return the results so far. - * - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the perimeter of the polygon or length of the - * polyline (meters). - * @param[out] area the area of the polygon (meters2); only set - * if \e polyline is false in the constructor. - * @return the number of points. - **********************************************************************/ - unsigned Compute(bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** - * Return the results assuming a tentative final test point is added; - * however, the data for the test point is not saved. This lets you report - * a running result for the perimeter and area as the user moves the mouse - * cursor. Ordinary floating point arithmetic is used to accumulate the - * data for the test point; thus the area and perimeter returned are less - * accurate than if PolygonArea::AddPoint and PolygonArea::Compute are - * used. - * - * @param[in] lat the latitude of the test point (degrees). - * @param[in] lon the longitude of the test point (degrees). - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the approximate perimeter of the polygon or length - * of the polyline (meters). - * @param[out] area the approximate area of the polygon - * (meters2); only set if polyline is false in the - * constructor. - * @return the number of points. - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - unsigned TestPoint(double lat, double lon, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** - * Return the results assuming a tentative final test point is added via an - * azimuth and distance; however, the data for the test point is not saved. - * This lets you report a running result for the perimeter and area as the - * user moves the mouse cursor. Ordinary floating point arithmetic is used - * to accumulate the data for the test point; thus the area and perimeter - * returned are less accurate than if PolygonArea::AddEdge and - * PolygonArea::Compute are used. - * - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to final test point (meters). - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the approximate perimeter of the polygon or length - * of the polyline (meters). - * @param[out] area the approximate area of the polygon - * (meters2); only set if polyline is false in the - * constructor. - * @return the number of points. - **********************************************************************/ - unsigned TestEdge(double azi, double s, bool reverse, bool sign, - [System::Runtime::InteropServices::Out] double% perimeter, - [System::Runtime::InteropServices::Out] double% area); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * Report the previous vertex added to the polygon or polyline. - * - * @param[out] lat the latitude of the point (degrees). - * @param[out] lon the longitude of the point (degrees). - * - * If no points have been added, then NaNs are returned. Otherwise, \e lon - * will be in the range [−180°, 180°). - **********************************************************************/ - void CurrentPoint([System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/ReadMe.txt b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/ReadMe.txt deleted file mode 100644 index 3d90197653bf2eb02f2ec67fb81498f23e3d576d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/ReadMe.txt +++ /dev/null @@ -1,38 +0,0 @@ -======================================================================== - DYNAMIC LINK LIBRARY : NETGeographic Project Overview -======================================================================== - -AppWizard has created this NETGeographic DLL for you. - -This file contains a summary of what you will find in each of the files that -make up your NETGeographic application. - -NETGeographic.vcxproj - This is the main project file for VC++ projects generated using an Application Wizard. - It contains information about the version of Visual C++ that generated the file, and - information about the platforms, configurations, and project features selected with the - Application Wizard. - -NETGeographic.vcxproj.filters - This is the filters file for VC++ projects generated using an Application Wizard. - It contains information about the association between the files in your project - and the filters. This association is used in the IDE to show grouping of files with - similar extensions under a specific node (for e.g. ".cpp" files are associated with the - "Source Files" filter). - -NETGeographic.cpp - This is the main DLL source file. - -NETGeographic.h - This file contains a class declaration. - -AssemblyInfo.cpp - Contains custom attributes for modifying assembly metadata. - -///////////////////////////////////////////////////////////////////////////// -Other notes: - -AppWizard uses "TODO:" to indicate parts of the source code you -should add to or customize. - -///////////////////////////////////////////////////////////////////////////// diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Rhumb.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Rhumb.cpp deleted file mode 100644 index b36827b75a30974762c6370242a0b30f95cca995..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Rhumb.cpp +++ /dev/null @@ -1,237 +0,0 @@ -/** - * \file NETGeographicLib/Rhumb.cpp - * \brief Implementation for NETGeographicLib::Rhumb and NETGeographicLib::RhumbLine class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/Rhumb.hpp" -#include "Rhumb.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -Rhumb::!Rhumb(void) -{ - if ( m_pRhumb != NULL ) - { - delete m_pRhumb; - m_pRhumb = NULL; - } -} - -//***************************************************************************** -Rhumb::Rhumb(double a, double f, bool exact) -{ - try - { - m_pRhumb = new GeographicLib::Rhumb( a, f, exact ); - } - catch ( GeographicLib::GeographicErr& err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( std::bad_alloc ) - { - throw gcnew System::Exception("Failed to allocate memory for a Rhumb."); - } -} - -//***************************************************************************** -void Rhumb::Direct(double lat1, double lon1, double azi12, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% S12) -{ - double ilat2, ilon2, iS12; - m_pRhumb->Direct( lat1, lon1, azi12, s12, ilat2, ilon2, iS12 ); - lat2 = ilat2; - lon2 = ilon2; - S12 = iS12; -} - -//***************************************************************************** -void Rhumb::Direct(double lat1, double lon1, double azi12, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double ilat2, ilon2; - m_pRhumb->Direct( lat1, lon1, azi12, s12, ilat2, ilon2 ); - lat2 = ilat2; - lon2 = ilon2; -} - -//***************************************************************************** -void Rhumb::GenDirect(double lat1, double lon1, double azi12, double s12, - Rhumb::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% S12) -{ - double ilat2, ilon2, iS12; - unsigned int iMask = (unsigned int)outmask; - m_pRhumb->GenDirect( lat1, lon1, azi12, s12, iMask, ilat2, ilon2, iS12 ); - lat2 = ilat2; - lon2 = ilon2; - S12 = iS12; -} - -//***************************************************************************** -void Rhumb::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi12, - [System::Runtime::InteropServices::Out] double% S12) -{ - double is12, iazi12, iS12; - m_pRhumb->Inverse( lat1, lon1, lat2, lon2, is12, iazi12, iS12 ); - s12 = is12; - azi12 = iazi12; - S12 = iS12; -} - -//***************************************************************************** -void Rhumb::Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi12) -{ - double is12, iazi12; - m_pRhumb->Inverse( lat1, lon1, lat2, lon2, is12, iazi12 ); - s12 = is12; - azi12 = iazi12; -} - -//***************************************************************************** -void Rhumb::GenInverse(double lat1, double lon1, double lat2, double lon2, - Rhumb::mask outmask, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi12, - [System::Runtime::InteropServices::Out] double% S12) -{ - double is12, iazi12, iS12; - unsigned int iMask = (unsigned int)outmask; - m_pRhumb->GenInverse( lat1, lon1, lat2, lon2, iMask, is12, iazi12, iS12 ); - s12 = is12; - azi12 = iazi12; - S12 = iS12; -} - -//***************************************************************************** -RhumbLine^ Rhumb::Line(double lat1, double lon1, double azi12) -{ - return gcnew RhumbLine( new GeographicLib::RhumbLine(m_pRhumb->Line( lat1, lon1, azi12 )) ); -} - -//***************************************************************************** -double Rhumb::EquatorialRadius::get() { return m_pRhumb->EquatorialRadius(); } - -//***************************************************************************** -double Rhumb::Flattening::get() { return m_pRhumb->Flattening(); } - -//***************************************************************************** -double Rhumb::EllipsoidArea::get() { return m_pRhumb->EllipsoidArea(); } - -//***************************************************************************** -Rhumb^ Rhumb::WGS84() -{ - return gcnew Rhumb( GeographicLib::Constants::WGS84_a(), - GeographicLib::Constants::WGS84_f(), false ); -} - -//***************************************************************************** -System::IntPtr^ Rhumb::GetUnmanaged() -{ - return gcnew System::IntPtr( const_cast(reinterpret_cast(m_pRhumb)) ); -} - -//***************************************************************************** -// RhumbLine functions -//***************************************************************************** -RhumbLine::!RhumbLine(void) -{ - if ( m_pRhumbLine != NULL ) - { - delete m_pRhumbLine; - m_pRhumbLine = NULL; - } -} - -//***************************************************************************** -RhumbLine::RhumbLine( GeographicLib::RhumbLine* pRhumbLine ) -{ - if ( pRhumbLine == NULL ) - throw gcnew System::Exception("Invalid pointer in RhumbLine constructor."); - m_pRhumbLine = pRhumbLine; -} - -//***************************************************************************** -void RhumbLine::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% S12) -{ - double ilat2, ilon2, iS12; - m_pRhumbLine->Position( s12, ilat2, ilon2, iS12); - lat2 = ilat2; - lon2 = ilon2; - S12 = iS12; -} - -//***************************************************************************** -void RhumbLine::Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2) -{ - double ilat2, ilon2; - m_pRhumbLine->Position( s12, ilat2, ilon2 ); - lat2 = ilat2; - lon2 = ilon2; -} - -//***************************************************************************** -void RhumbLine::GenPosition(double s12, RhumbLine::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% S12) -{ - double ilat2, ilon2, iS12; - unsigned int iMask = (unsigned int)outmask; - m_pRhumbLine->GenPosition( s12, iMask, ilat2, ilon2, iS12); - lat2 = ilat2; - lon2 = ilon2; - S12 = iS12; -} - -//***************************************************************************** -double RhumbLine::Latitude::get() -{ - return m_pRhumbLine->Latitude(); -} - -//***************************************************************************** -double RhumbLine::Longitude::get() -{ - return m_pRhumbLine->Longitude(); -} - -//***************************************************************************** -double RhumbLine::Azimuth::get() -{ - return m_pRhumbLine->Azimuth(); -} - -//***************************************************************************** -double RhumbLine::EquatorialRadius::get() -{ - return m_pRhumbLine->EquatorialRadius(); -} - -//***************************************************************************** -double RhumbLine::Flattening::get() -{ - return m_pRhumbLine->Flattening(); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Rhumb.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Rhumb.h deleted file mode 100644 index f6a6d376101db01d3a85607c8c013f3bd9877367..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/Rhumb.h +++ /dev/null @@ -1,543 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/Rhumb.h - * \brief Header for NETGeographicLib::Rhumb and NETGeographicLib::RhumbLine classes - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib { - - ref class RhumbLine; - - /** - * \brief .NET wrapper for GeographicLib::Rhumb. - * - * This class allows .NET applications to access GeographicLib::Rhumb. - * - * Solve of the direct and inverse rhumb problems. - * - * The path of constant azimuth between two points on a ellipsoid at (\e - * lat1, \e lon1) and (\e lat2, \e lon2) is called the rhumb line (also - * called the loxodrome). Its length is \e s12 and its azimuth is \e azi12. - * (The azimuth is the heading measured clockwise from north.) - * - * Given \e lat1, \e lon1, \e azi12, and \e s12, we can determine \e lat2, - * and \e lon2. This is the \e direct rhumb problem and its solution is - * given by the function Rhumb::Direct. - * - * Given \e lat1, \e lon1, \e lat2, and \e lon2, we can determine \e azi12 - * and \e s12. This is the \e inverse rhumb problem, whose solution is given - * by Rhumb::Inverse. This finds the shortest such rhumb line, i.e., the one - * that wraps no more than half way around the earth. If the end points are - * on opposite meridians, there are two shortest rhumb lines and the - * east-going one is chosen. - * - * These routines also optionally calculate the area under the rhumb line, \e - * S12. This is the area, measured counter-clockwise, of the rhumb line - * quadrilateral with corners (lat1,lon1), (0,lon1), - * (0,lon2), and (lat2,lon2). - * - * Note that rhumb lines may be appreciably longer (up to 50%) than the - * corresponding Geodesic. For example the distance between London Heathrow - * and Tokyo Narita via the rhumb line is 11400 km which is 18% longer than - * the geodesic distance 9600 km. - * - * For more information on rhumb lines see \ref rhumb. - * - * For more information on rhumb lines see \ref rhumb. - * - * C# Example: - * \include example-Rhumb.cs - * Managed C++ Example: - * \include example-Rhumb.cpp - * Visual Basic Example: - * \include example-Rhumb.vb - * - * INTERFACE DIFFERENCES:
- * The EquatorialRadius and Flattening functions are implemented as properties. - **********************************************************************/ - - public ref class Rhumb { - private: - // pointer to the unmanaged Rhumb object - GeographicLib::Rhumb* m_pRhumb; - - // The finalizer destroys m_pRhumb when this object is destroyed. - !Rhumb(void); - public: - /** - * Bit masks for what calculations to do. They specify which results to - * return in the general routines Rhumb::GenDirect and Rhumb::GenInverse - * routines. RhumbLine::mask is a duplication of this enum. - **********************************************************************/ - enum class mask { - /** - * No output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7, - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8, - /** - * Calculate azimuth \e azi12. - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9, - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10, - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14, - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * Calculate everything. (LONG_UNROLL is not included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = 0x7F80U, - }; - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] exact if true (the default) use an addition theorem for - * elliptic integrals to compute divided differences; otherwise use - * series expansion (accurate for |f| < 0.01). - * @exception GeographicErr if \e a or (1 − \e f) \e a is not - * positive. - * - * See \ref rhumb, for a detailed description of the \e exact parameter. - **********************************************************************/ - Rhumb(double a, double f, bool exact); - - /** - * \brief The destructor calls the finalizer. - **********************************************************************/ - ~Rhumb() { this->!Rhumb(); } - - /** - * Solve the direct rhumb problem returning also the area. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi12 azimuth of the rhumb line (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * \e lat1 should be in the range [−90°, 90°]. The value of - * \e lon2 returned is in the range [−180°, 180°). - * - * If point 1 is a pole, the cosine of its latitude is taken to be - * 1/ε2 (where ε is 2-52). This - * position, which is extremely close to the actual pole, allows the - * calculation to be carried out in finite terms. If \e s12 is large - * enough that the rhumb line crosses a pole, the longitude of point 2 - * is indeterminate (a NaN is returned for \e lon2 and \e S12). - **********************************************************************/ - void Direct(double lat1, double lon1, double azi12, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * Solve the direct rhumb problem without the area. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi12 azimuth of the rhumb line (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * - * \e lat1 should be in the range [−90°, 90°]. The values of - * \e lon2 and \e azi2 returned are in the range [−180°, - * 180°). - * - * If point 1 is a pole, the cosine of its latitude is taken to be - * 1/ε2 (where ε is 2-52). This - * position, which is extremely close to the actual pole, allows the - * calculation to be carried out in finite terms. If \e s12 is large - * enough that the rhumb line crosses a pole, the longitude of point 2 - * is indeterminate (a NaN is returned for \e lon2). - **********************************************************************/ - void Direct(double lat1, double lon1, double azi12, double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * The general direct rhumb problem. Rhumb::Direct is defined in terms - * of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi12 azimuth of the rhumb line (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[in] outmask a bitor'ed combination of Rhumb::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The Rhumb::mask values possible for \e outmask are - * - \e outmask |= Rhumb.LATITUDE for the latitude \e lat2; - * - \e outmask |= Rhumb.LONGITUDE for the latitude \e lon2; - * - \e outmask |= Rhumb.AREA for the area \e S12; - * - \e outmask |= Rhumb:.ALL for all of the above; - * - \e outmask |= Rhumb.LONG_UNROLL to unroll \e lon2 instead of - * wrapping it into the range [−180°, 180°). - * . - * With the LONG_UNROLL bit set, the quantity \e lon2 − \e lon1 - * indicates how many times the rhumb line wrapped around the ellipsoid. - **********************************************************************/ - void GenDirect(double lat1, double lon1, double azi12, double s12, - Rhumb::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * Solve the inverse rhumb problem returning also the area. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] s12 rhumb distance between point 1 and point 2 (meters). - * @param[out] azi12 azimuth of the rhumb line (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The shortest rhumb line is found. If the end points are on opposite - * meridians, there are two shortest rhumb lines and the east-going one is - * chosen. \e lat1 and \e lat2 should be in the range [−90°, - * 90°]. The value of \e azi12 returned is in the range - * [−180°, 180°). - * - * If either point is a pole, the cosine of its latitude is taken to be - * 1/ε2 (where ε is 2-52). This - * position, which is extremely close to the actual pole, allows the - * calculation to be carried out in finite terms. - **********************************************************************/ - void Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi12, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * Solve the inverse rhumb problem without the area. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] s12 rhumb distance between point 1 and point 2 (meters). - * @param[out] azi12 azimuth of the rhumb line (degrees). - * - * The shortest rhumb line is found. \e lat1 and \e lat2 should be in the - * range [−90°, 90°]. The value of \e azi12 returned is in - * the range [−180°, 180°). - * - * If either point is a pole, the cosine of its latitude is taken to be - * 1/ε2 (where ε is 2-52). This - * position, which is extremely close to the actual pole, allows the - * calculation to be carried out in finite terms. - **********************************************************************/ - void Inverse(double lat1, double lon1, double lat2, double lon2, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi12); - - /** - * The general inverse rhumb problem. Rhumb::Inverse is defined in terms - * of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] outmask a bitor'ed combination of Rhumb::mask values - * specifying which of the following parameters should be set. - * @param[out] s12 rhumb distance between point 1 and point 2 (meters). - * @param[out] azi12 azimuth of the rhumb line (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The Rhumb::mask values possible for \e outmask are - * - \e outmask |= Rhumb::DISTANCE for the latitude \e s12; - * - \e outmask |= Rhumb::AZIMUTH for the latitude \e azi12; - * - \e outmask |= Rhumb::AREA for the area \e S12; - * - \e outmask |= Rhumb::ALL for all of the above; - **********************************************************************/ - void GenInverse(double lat1, double lon1, double lat2, double lon2, - Rhumb::mask outmask, - [System::Runtime::InteropServices::Out] double% s12, - [System::Runtime::InteropServices::Out] double% azi12, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * Set up to compute several points on a single rhumb line. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi12 azimuth of the rhumb line (degrees). - * @return a RhumbLine object. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * If point 1 is a pole, the cosine of its latitude is taken to be - * 1/ε2 (where ε is 2-52). This - * position, which is extremely close to the actual pole, allows the - * calculation to be carried out in finite terms. - **********************************************************************/ - RhumbLine^ Line(double lat1, double lon1, double azi12); - - /** \name Inspector functions. - **********************************************************************/ - ///@{ - - /** - * @return the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return the area of the ellipsoid. - **********************************************************************/ - property double EllipsoidArea { double get(); } - - /** - * %return The unmanaged pointer to the GeographicLib::Geodesic. - * - * This function is for internal use only. - **********************************************************************/ - System::IntPtr^ GetUnmanaged(); - - /** - * A global instantiation of Rhumb with the parameters for the WGS84 - * ellipsoid. - **********************************************************************/ - static Rhumb^ WGS84(); - }; - - /** - * \brief .NET wrapper for GeographicLib::RhumbLine. - * - * This class allows .NET applications to access GeographicLib::RhumbLine. - * - * Find a sequence of points on a single rhumb line. - * - * RhumbLine facilitates the determination of a series of points on a single - * rhumb line. The starting point (\e lat1, \e lon1) and the azimuth \e - * azi12 are specified in the call to Rhumb::Line which returns a RhumbLine - * object. RhumbLine.Position returns the location of point 2 a distance \e - * s12 along the rhumb line. - - * There is no public constructor for this class. (Use Rhumb::Line to create - * an instance.) The Rhumb object used to create a RhumbLine must stay in - * scope as long as the RhumbLine. - * - **********************************************************************/ - - public ref class RhumbLine { - private: - // pointer to the unmanaged RhumbLine object. - GeographicLib::RhumbLine* m_pRhumbLine; - - // The finalizer destroys m_pRhumbLine when this object is destroyed. - !RhumbLine(void); - public: - enum class mask { - /** - * No output. - * @hideinitializer - **********************************************************************/ - NONE = 0, //NETGeographicLib::Rhumb::NONE, - /** - * Calculate latitude \e lat2. - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7, //Rhumb::LATITUDE, - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8, //Rhumb::LONGITUDE, - /** - * Calculate azimuth \e azi12. - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9, //Rhumb::AZIMUTH, - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10, //Rhumb::DISTANCE, - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14, //Rhumb::AREA, - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, //Rhumb::LONG_UNROLL, - /** - * Calculate everything. (LONG_UNROLL is not included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = 0x7F80U, //Rhumb::ALL, - }; - /** - * \brief Constructor. - * - * For internal use only. Developers should not call this constructor - * directly. Use the Rhumb::Line function to create RhumbLine objects. - **********************************************************************/ - RhumbLine( GeographicLib::RhumbLine* pRhumbLine ); - - /** - * \brief The destructor calls the finalizer. - **********************************************************************/ - ~RhumbLine() { this->!RhumbLine(); } - - /** - * Compute the position of point 2 which is a distance \e s12 (meters) from - * point 1. The area is also computed. - * - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The value of \e lon2 returned is in the range [−180°, - * 180°). - * - * If \e s12 is large enough that the rhumb line crosses a pole, the - * longitude of point 2 is indeterminate (a NaN is returned for \e lon2 and - * \e S12). - **********************************************************************/ - void Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% S12); - - /** - * Compute the position of point 2 which is a distance \e s12 (meters) from - * point 1. - * - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°). - * - * If \e s12 is large enough that the rhumb line crosses a pole, the - * longitude of point 2 is indeterminate (a NaN is returned for \e lon2). - **********************************************************************/ - void Position(double s12, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2); - - /** - * The general position routine. RhumbLine::Position is defined in term so - * this function. - * - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[in] outmask a bitor'ed combination of RhumbLine::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The RhumbLine::mask values possible for \e outmask are - * - \e outmask |= RhumbLine::LATITUDE for the latitude \e lat2; - * - \e outmask |= RhumbLine::LONGITUDE for the latitude \e lon2; - * - \e outmask |= RhumbLine::AREA for the area \e S12; - * - \e outmask |= RhumbLine::ALL for all of the above; - * - \e outmask |= RhumbLine::LONG_UNROLL to unroll \e lon2 instead of - * wrapping it into the range [−180°, 180°). - * . - * With the LONG_UNROLL bit set, the quantity \e lon2 − \e lon1 - * indicates how many times and in what sense the rhumb line encircles the - * ellipsoid. - * - * If \e s12 is large enough that the rhumb line crosses a pole, the - * longitude of point 2 is indeterminate (a NaN is returned for \e lon2 and - * \e S12). - **********************************************************************/ - void GenPosition(double s12, RhumbLine::mask outmask, - [System::Runtime::InteropServices::Out] double% lat2, - [System::Runtime::InteropServices::Out] double% lon2, - [System::Runtime::InteropServices::Out] double% S12); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - - /** - * @return the latitude of point 1 (degrees). - **********************************************************************/ - property double Latitude { double get(); } - - /** - * @return the longitude of point 1 (degrees). - **********************************************************************/ - property double Longitude { double get(); } - - /** - * @return the azimuth of the rhumb line (degrees). - **********************************************************************/ - property double Azimuth { double get(); } - - /** - * @return the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Rhumb object used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return the flattening of the ellipsoid. This is the value - * inherited from the Rhumb object used in the constructor. - **********************************************************************/ - property double Flattening { double get(); } - }; - -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalCoefficients.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalCoefficients.cpp deleted file mode 100644 index 0a4d10a906f0bea3da38fa171baf2788339f608b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalCoefficients.cpp +++ /dev/null @@ -1,30 +0,0 @@ -/** - * \file NETGeographicLib/SphericalCoefficients.cpp - * \brief Implementation for NETGeographicLib::SphericalCoefficients class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/SphericalEngine.hpp" -#include "SphericalCoefficients.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -SphericalCoefficients::SphericalCoefficients(const GeographicLib::SphericalEngine::coeff& c) -{ - m_N = c.N(); - m_nmx = c.nmx(); - m_mmx = c.mmx(); - int csize = Csize( c.nmx(), c.mmx() ); - int ssize = Ssize( c.nmx(), c.mmx() ); - int offset = csize - ssize; - m_C = gcnew array( csize ); - m_S = gcnew array( ssize ); - for ( int i = 0; i < csize; i++ ) m_C[i] = c.Cv(i); - for ( int i = 0; i < ssize; i++ ) m_S[i] = c.Sv(i+offset); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalCoefficients.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalCoefficients.h deleted file mode 100644 index 5973118c6dd96a5027f2242bee05d8d930103810..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalCoefficients.h +++ /dev/null @@ -1,140 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/SphericalCoefficients.h - * \brief Header for NETGeographicLib::SphericalCoefficients class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /*! - \brief .NET wrapper for GeographicLib::SphericalEngine::coeff. - - This class allows .NET applications to access GeographicLib::SphericalEngine::coeff. - - The SphericalHarmonic classes provide accessor functions that allow - you to examine the coefficients. These accessor functions export a - GeographicLib::SphericalEngine::coeff object. The GeographicLib::SphericalEngine - class is not implemented in NETGeographicLib. SphericalCoefficients is provided as - a substitute for GeographicLib::SphericalEngine::coeff allowing you to examine the - coefficients in .NET applications. - - Use SphericalHarmonic::Coefficients, SphericalHarmonic1::Coefficient*, - or SphericalHarmonic2::Coefficient* to obtain an instance of this - class. - - INTERFACE DIFFERENCES:
- This class does not implement readcoeffs. - */ - public ref class SphericalCoefficients - { - private: - // The cosine coefficients. - array^ m_C; // size = Csize(m_nmx,m_mmx) - // The sine coefficients - array^ m_S; // size = Ssize(m_nmx,m_mmx) - // The dimension of the coefficients - int m_N; - int m_nmx; - int m_mmx; - public: - /*! - \brief Constructor. - \param[in] c A reference to a GeographicLib::SphericalEngine::coeff object. - This constructor is for internal use only. Developers should - not create an instance of SphericalCoefficients. Use - SphericalHarmonic::Coefficients, SphericalHarmonic1::Coefficient*, - or SphericalHarmonic2::Coefficient* to obtain an instance of this - class. - */ - SphericalCoefficients( const GeographicLib::SphericalEngine::coeff& c ); - - /** - * @return \e N the degree giving storage layout for \e C and \e S. - **********************************************************************/ - property int N { int get() { return m_N; } } - /** - * @return \e nmx the maximum degree to be used. - **********************************************************************/ - property int nmx { int get() { return m_nmx; } } - /** - * @return \e mmx the maximum order to be used. - **********************************************************************/ - property int mmx { int get() { return m_mmx; } } - /** - * The one-dimensional index into \e C and \e S. - * - * @param[in] n the degree. - * @param[in] m the order. - * @return the one-dimensional index. - **********************************************************************/ - int index(int n, int m) - { return m * m_N - m * (m - 1) / 2 + n; } - /** - * An element of \e C. - * - * @param[in] k the one-dimensional index. - * @return the value of the \e C coefficient. - **********************************************************************/ - double Cv(int k) { return m_C[k]; } - /** - * An element of \e S. - * - * @param[in] k the one-dimensional index. - * @return the value of the \e S coefficient. - **********************************************************************/ - double Sv(int k) { return m_S[k - (m_N + 1)]; } - /** - * An element of \e C with checking. - * - * @param[in] k the one-dimensional index. - * @param[in] n the requested degree. - * @param[in] m the requested order. - * @param[in] f a multiplier. - * @return the value of the \e C coefficient multiplied by \e f in \e n - * and \e m are in range else 0. - **********************************************************************/ - double Cv(int k, int n, int m, double f) - { return m > m_mmx || n > m_nmx ? 0 : m_C[k] * f; } - /** - * An element of \e S with checking. - * - * @param[in] k the one-dimensional index. - * @param[in] n the requested degree. - * @param[in] m the requested order. - * @param[in] f a multiplier. - * @return the value of the \e S coefficient multiplied by \e f in \e n - * and \e m are in range else 0. - **********************************************************************/ - double Sv(int k, int n, int m, double f) - { return m > m_mmx || n > m_nmx ? 0 : m_S[k - (m_N + 1)] * f; } - - /** - * The size of the coefficient vector for the cosine terms. - * - * @param[in] N the maximum degree. - * @param[in] M the maximum order. - * @return the size of the vector of cosine terms as stored in column - * major order. - **********************************************************************/ - static int Csize(int N, int M) - { return (M + 1) * (2 * N - M + 2) / 2; } - - /** - * The size of the coefficient vector for the sine terms. - * - * @param[in] N the maximum degree. - * @param[in] M the maximum order. - * @return the size of the vector of cosine terms as stored in column - * major order. - **********************************************************************/ - static int Ssize(int N, int M) - { return Csize(N, M) - (N + 1); } - - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic.cpp deleted file mode 100644 index 631f39bc5c53093aded2593841956ec4aa5a0081..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic.cpp +++ /dev/null @@ -1,127 +0,0 @@ -/** - * \file NETGeographicLib/SphericalHarmonic.cpp - * \brief Implementation for NETGeographicLib::SphericalHarmonic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/SphericalHarmonic.hpp" -#include "SphericalHarmonic.h" -#include "CircularEngine.h" -#include "SphericalCoefficients.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::SphericalHarmonic"; - -//***************************************************************************** -SphericalHarmonic::!SphericalHarmonic(void) -{ - if ( m_pSphericalHarmonic != NULL ) - { - delete m_pSphericalHarmonic; - m_pSphericalHarmonic = NULL; - } - if ( m_C != NULL ) - { - delete m_C; - m_C = NULL; - } - if ( m_S != NULL ) - { - delete m_S; - m_S = NULL; - } -} - -//***************************************************************************** -SphericalHarmonic::SphericalHarmonic(array^ C, - array^ S, - int N, double a, Normalization norm ) -{ - try - { - m_C = new std::vector(); - m_S = new std::vector(); - for each ( double x in C ) m_C->push_back(x); - for each ( double x in S ) m_S->push_back(x); - m_pSphericalHarmonic = new GeographicLib::SphericalHarmonic( - *m_C, *m_S, N, a, static_cast(norm) ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } - catch ( System::Exception^ sxpt ) - { - throw gcnew GeographicErr( sxpt->Message ); - } -} - -//***************************************************************************** -SphericalHarmonic::SphericalHarmonic(array^ C, - array^ S, - int N, int nmx, int mmx, - double a, Normalization norm) -{ - try - { - m_C = new std::vector(); - m_S = new std::vector(); - for each ( double x in C ) m_C->push_back(x); - for each ( double x in S ) m_S->push_back(x); - m_pSphericalHarmonic = new GeographicLib::SphericalHarmonic( - *m_C, *m_S, N, nmx, mmx, a, static_cast(norm) ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& xcpt ) - { - throw gcnew GeographicErr( xcpt.what() ); - } - catch ( System::Exception^ sxpt ) - { - throw gcnew GeographicErr( sxpt->Message ); - } -} - -//***************************************************************************** -double SphericalHarmonic::HarmonicSum(double x, double y, double z) -{ - return m_pSphericalHarmonic->operator()( x, y, z ); -} - -//***************************************************************************** -double SphericalHarmonic::HarmonicSum(double x, double y, double z, - double% gradx, double% grady, double% gradz) -{ - double lx, ly, lz; - double out = m_pSphericalHarmonic->operator()( x, y, z, lx, ly, lz ); - gradx = lx; - grady = ly; - gradz = lz; - return out; -} - -//***************************************************************************** -CircularEngine^ SphericalHarmonic::Circle(double p, double z, bool gradp) -{ - return gcnew CircularEngine( m_pSphericalHarmonic->Circle( p, z, gradp ) ); -} - -//***************************************************************************** -SphericalCoefficients^ SphericalHarmonic::Coefficients() -{ - return gcnew SphericalCoefficients( m_pSphericalHarmonic->Coefficients() ); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic.h deleted file mode 100644 index 91b7dc181b85f3d4bfd455f49fc26b24c50bb17a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic.h +++ /dev/null @@ -1,271 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/SphericalHarmonic.h - * \brief Header for NETGeographicLib::SphericalHarmonic class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class CircularEngine; - ref class SphericalCoefficients; - /** - * \brief .NET wrapper for GeographicLib::SphericalHarmonic. - * - * This class allows .NET applications to access GeographicLib::SphericalHarmonic. - * - * This class evaluates the spherical harmonic sum \verbatim - V(x, y, z) = sum(n = 0..N)[ q^(n+1) * sum(m = 0..n)[ - (C[n,m] * cos(m*lambda) + S[n,m] * sin(m*lambda)) * - P[n,m](cos(theta)) ] ] - \endverbatim - * where - * - p2 = x2 + y2, - * - r2 = p2 + z2, - * - \e q = a/r, - * - θ = atan2(\e p, \e z) = the spherical \e colatitude, - * - λ = atan2(\e y, \e x) = the longitude. - * - P\e nm(\e t) is the associated Legendre polynomial of degree - * \e n and order \e m. - * - * Two normalizations are supported for P\e nm - * - fully normalized denoted by SphericalHarmonic::FULL. - * - Schmidt semi-normalized denoted by SphericalHarmonic::SCHMIDT. - * - * Clenshaw summation is used for the sums over both \e n and \e m. This - * allows the computation to be carried out without the need for any - * temporary arrays. See GeographicLib::SphericalEngine.cpp for more - * information on the implementation. - * - * References: - * - C. W. Clenshaw, A note on the summation of Chebyshev series, - * %Math. Tables Aids Comput. 9(51), 118--120 (1955). - * - R. E. Deakin, Derivatives of the earth's potentials, Geomatics - * Research Australasia 68, 31--60, (June 1998). - * - W. A. Heiskanen and H. Moritz, Physical Geodesy, (Freeman, San - * Francisco, 1967). (See Sec. 1-14, for a definition of Pbar.) - * - S. A. Holmes and W. E. Featherstone, A unified approach to the Clenshaw - * summation and the recursive computation of very high degree and order - * normalised associated Legendre functions, J. Geodesy 76(5), - * 279--299 (2002). - * - C. C. Tscherning and K. Poder, Some geodetic applications of Clenshaw - * summation, Boll. Geod. Sci. Aff. 41(4), 349--375 (1982). - * - * C# Example: - * \include example-SphericalHarmonic.cs - * Managed C++ Example: - * \include example-SphericalHarmonic.cpp - * Visual Basic Example: - * \include example-SphericalHarmonic.vb - * - * INTERFACE DIFFERENCES:
- * This class replaces the GeographicLib::SphericalHarmonic::operator() with - * HarmonicSum. - * - * Coefficients returns a SphericalCoefficients object. - * - * The Normalization parameter in the constructors is passed in as an - * enumeration rather than an unsigned. - **********************************************************************/ - public ref class SphericalHarmonic - { - private: - // a pointer to the unmanaged GeographicLib::SphericalHarmonic - const GeographicLib::SphericalHarmonic* m_pSphericalHarmonic; - // the finalizer frees the unmanaged memory when the object is destroyed. - !SphericalHarmonic(); - // local containers for the cosine and sine coefficients. The - // GeographicLib::SphericalEngine::coeffs class uses a - // std::vector::iterator to access these vectors. - std::vector *m_C, *m_S; - public: - /** - * Supported normalizations for the associated Legendre polynomials. - **********************************************************************/ - enum class Normalization { - /** - * Fully normalized associated Legendre polynomials. - * - * These are defined by Pnmfull(\e z) - * = (−1)m sqrt(\e k (2\e n + 1) (\e n − \e - * m)! / (\e n + \e m)!) - * Pnm(\e z), where - * Pnm(\e z) is Ferrers - * function (also known as the Legendre function on the cut or the - * associated Legendre polynomial) https://dlmf.nist.gov/14.7.E10 and \e k - * = 1 for \e m = 0 and \e k = 2 otherwise. - * - * The mean squared value of - * Pnmfull(cosθ) - * cos(mλ) and - * Pnmfull(cosθ) - * sin(mλ) over the sphere is 1. - * - * @hideinitializer - **********************************************************************/ - FULL = GeographicLib::SphericalEngine::FULL, - /** - * Schmidt semi-normalized associated Legendre polynomials. - * - * These are defined by Pnmschmidt(\e - * z) = (−1)m sqrt(\e k (\e n − \e m)! / - * (\e n + \e m)!) Pnm(\e z), - * where Pnm(\e z) is Ferrers - * function (also known as the Legendre function on the cut or the - * associated Legendre polynomial) https://dlmf.nist.gov/14.7.E10 and \e k - * = 1 for \e m = 0 and \e k = 2 otherwise. - * - * The mean squared value of - * Pnmschmidt(cosθ) - * cos(mλ) and - * Pnmschmidt(cosθ) - * sin(mλ) over the sphere is 1/(2\e n + 1). - * - * @hideinitializer - **********************************************************************/ - SCHMIDT = GeographicLib::SphericalEngine::SCHMIDT, - }; - - /** - * Constructor with a full set of coefficients specified. - * - * @param[in] C the coefficients \e C\e nm. - * @param[in] S the coefficients \e S\e nm. - * @param[in] N the maximum degree and order of the sum - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic::full (the default) or - * SphericalHarmonic::schmidt. - * @exception GeographicErr if \e N does not satisfy \e N ≥ −1. - * @exception GeographicErr if \e C or \e S is not big enough to hold the - * coefficients. - * - * The coefficients \e C\e nm and \e S\e nm are - * stored in the one-dimensional vectors \e C and \e S which must contain - * (\e N + 1)(\e N + 2)/2 and N (\e N + 1)/2 elements, respectively, stored - * in "column-major" order. Thus for \e N = 3, the order would be: - * C00, - * C10, - * C20, - * C30, - * C11, - * C21, - * C31, - * C22, - * C32, - * C33. - * In general the (\e n,\e m) element is at index \e m \e N − \e m - * (\e m − 1)/2 + \e n. The layout of \e S is the same except that - * the first column is omitted (since the \e m = 0 terms never contribute - * to the sum) and the 0th element is S11 - * - * The class stores pointers to the first elements of \e C and \e S. - * These arrays should not be altered or destroyed during the lifetime of a - * SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic(array^ C, - array^ S, - int N, double a, Normalization norm ); - - /** - * Constructor with a subset of coefficients specified. - * - * @param[in] C the coefficients \e C\e nm. - * @param[in] S the coefficients \e S\e nm. - * @param[in] N the degree used to determine the layout of \e C and \e S. - * @param[in] nmx the maximum degree used in the sum. The sum over \e n is - * from 0 thru \e nmx. - * @param[in] mmx the maximum order used in the sum. The sum over \e m is - * from 0 thru min(\e n, \e mmx). - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic::FULL (the default) or - * SphericalHarmonic::SCHMIDT. - * @exception GeographicErr if \e N, \e nmx, and \e mmx do not satisfy - * \e N ≥ \e nmx ≥ \e mmx ≥ −1. - * @exception GeographicErr if \e C or \e S is not big enough to hold the - * coefficients. - * - * The class stores pointers to the first elements of \e C and \e S. - * These arrays should not be altered or destroyed during the lifetime of a - * SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic(array^ C, - array^ S, - int N, int nmx, int mmx, - double a, Normalization norm); - - /** - * The destructor calls the finalizer - **********************************************************************/ - ~SphericalHarmonic() { this->!SphericalHarmonic(); } - - /** - * Compute the spherical harmonic sum. - * - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @return \e V the spherical harmonic sum. - * - * This routine requires constant memory and thus never throws an - * exception. - **********************************************************************/ - double HarmonicSum(double x, double y, double z); - - /** - * Compute a spherical harmonic sum and its gradient. - * - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @param[out] gradx \e x component of the gradient - * @param[out] grady \e y component of the gradient - * @param[out] gradz \e z component of the gradient - * @return \e V the spherical harmonic sum. - * - * This is the same as the previous function, except that the components of - * the gradients of the sum in the \e x, \e y, and \e z directions are - * computed. This routine requires constant memory and thus never throws - * an exception. - **********************************************************************/ - double HarmonicSum(double x, double y, double z, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz); - - /** - * Create a CircularEngine to allow the efficient evaluation of several - * points on a circle of latitude. - * - * @param[in] p the radius of the circle. - * @param[in] z the height of the circle above the equatorial plane. - * @param[in] gradp if true the returned object will be able to compute the - * gradient of the sum. - * @exception std::bad_alloc if the memory for the CircularEngine can't be - * allocated. - * @return the CircularEngine object. - * - * SphericalHarmonic::operator()() exchanges the order of the sums in the - * definition, i.e., ∑n = 0..N ∑m = 0..n - * becomes ∑m = 0..N ∑n = m..N. - * SphericalHarmonic::Circle performs the inner sum over degree \e n (which - * entails about N2 operations). Calling - * CircularEngine::operator()() on the returned object performs the outer - * sum over the order \e m (about \e N operations). - **********************************************************************/ - CircularEngine^ Circle(double p, double z, bool gradp); - - /** - * @return the zeroth SphericalCoefficients object. - **********************************************************************/ - SphericalCoefficients^ Coefficients(); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic1.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic1.cpp deleted file mode 100644 index c9a7a7b1f46649bed2d38c7ff9002845ff7b3444..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic1.cpp +++ /dev/null @@ -1,168 +0,0 @@ -/** - * \file NETGeographicLib/SphericalHarmonic1.cpp - * \brief Implementation for NETGeographicLib::SphericalHarmonic1 class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/SphericalHarmonic1.hpp" -#include "SphericalHarmonic1.h" -#include "CircularEngine.h" -#include "SphericalCoefficients.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::SphericalHarmonic1"; - -//***************************************************************************** -SphericalHarmonic1::!SphericalHarmonic1(void) -{ - if ( m_pSphericalHarmonic1 != NULL ) - { - delete m_pSphericalHarmonic1; - m_pSphericalHarmonic1 = NULL; - } - - if ( m_C != NULL ) - { - for ( int i = 0; i < m_numCoeffVectors; i++ ) - if ( m_C[i] != NULL ) - delete m_C[i]; - delete [] m_C; - m_C = NULL; - } - - if ( m_S != NULL ) - { - for ( int i = 0; i < m_numCoeffVectors; i++ ) - if ( m_S[i] != NULL ) - delete m_S[i]; - delete [] m_S; - m_S = NULL; - } -} - -//***************************************************************************** -SphericalHarmonic1::SphericalHarmonic1( array^ C, - array^ S, - int N, - array^ C1, - array^ S1, - int N1, - double a, - Normalization norm ) -{ - try - { - m_C = new std::vector*[m_numCoeffVectors]; - for ( int i = 0; i < m_numCoeffVectors; i++ ) m_C[i] = new std::vector(); - m_S = new std::vector*[m_numCoeffVectors]; - for ( int i = 0; i < m_numCoeffVectors; i++ ) m_S[i] = new std::vector(); - for each ( double x in C ) m_C[0]->push_back( x ); - for each ( double x in S ) m_S[0]->push_back( x ); - for each ( double x in C1 ) m_C[1]->push_back( x ); - for each ( double x in S1 ) m_S[1]->push_back( x ); - m_pSphericalHarmonic1 = new GeographicLib::SphericalHarmonic1( - *m_C[0], *m_S[0], N, *m_C[1], *m_S[1], N1, a, (unsigned)norm ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( System::Exception^ sxpt ) - { - throw gcnew GeographicErr( sxpt->Message ); - } -} - -//***************************************************************************** -SphericalHarmonic1::SphericalHarmonic1( array^ C, - array^ S, - int N, int nmx, int mmx, - array^ C1, - array^ S1, - int N1, int nmx1, int mmx1, - double a, - Normalization norm ) -{ - try - { - m_C = new std::vector*[m_numCoeffVectors]; - for ( int i = 0; i < m_numCoeffVectors; i++ ) m_C[i] = new std::vector(); - m_S = new std::vector*[m_numCoeffVectors]; - for ( int i = 0; i < m_numCoeffVectors; i++ ) m_S[i] = new std::vector(); - for each ( double x in C ) m_C[0]->push_back( x ); - for each ( double x in S ) m_S[0]->push_back( x ); - for each ( double x in C1 ) m_C[1]->push_back( x ); - for each ( double x in S1 ) m_S[1]->push_back( x ); - m_pSphericalHarmonic1 = new GeographicLib::SphericalHarmonic1( - *m_C[0], *m_S[0], N, nmx, mmx, *m_C[1], *m_S[1], N1, nmx1, mmx1, a, - (unsigned)norm ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( System::Exception^ sxpt ) - { - throw gcnew GeographicErr( sxpt->Message ); - } -} - -//***************************************************************************** -double SphericalHarmonic1::HarmonicSum(double tau, double x, double y, double z) -{ - return m_pSphericalHarmonic1->operator()( tau, x, y, z ); -} - -//***************************************************************************** -double SphericalHarmonic1::HarmonicSum(double tau, double x, double y, double z, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz) -{ - double lgradx, lgrady, lgradz; - double out = m_pSphericalHarmonic1->operator()( tau, x, y, z, lgradx, lgrady, lgradz ); - gradx = lgradx; - grady = lgrady; - gradz = lgradz; - return out; -} - -//***************************************************************************** -CircularEngine^ SphericalHarmonic1::Circle(double tau, double p, double z, bool gradp) -{ - try - { - return gcnew CircularEngine( m_pSphericalHarmonic1->Circle( tau, p, z, gradp ) ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Failed to allocate memory for a CircularEngine in SphericalHarmonic1::Circle" ); - } -} - -//***************************************************************************** -SphericalCoefficients^ SphericalHarmonic1::Coefficients() -{ - return gcnew SphericalCoefficients( m_pSphericalHarmonic1->Coefficients() ); -} - -//***************************************************************************** -SphericalCoefficients^ SphericalHarmonic1::Coefficients1() -{ - return gcnew SphericalCoefficients( m_pSphericalHarmonic1->Coefficients1() ); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic1.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic1.h deleted file mode 100644 index c2aafe33d5a234d3bd7b11ae32cec4b136407dfd..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic1.h +++ /dev/null @@ -1,226 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/SphericalHarmonic1.h - * \brief Header for NETGeographicLib::SphericalHarmonic1 class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class SphericalCoefficients; - ref class CircularEngine; - /** - * \brief .NET wrapper for GeographicLib::SphericalHarmonic1. - * - * This class allows .NET applications to access GeographicLib::SphericalHarmonic1. - * - * This class is similar to SphericalHarmonic, except that the coefficients - * \e C\e nm are replaced by \e C\e nm + \e tau - * C'\e nm (and similarly for \e S\e nm). - * - * C# Example: - * \include example-SphericalHarmonic1.cs - * Managed C++ Example: - * \include example-SphericalHarmonic1.cpp - * Visual Basic Example: - * \include example-SphericalHarmonic1.vb - * - * INTERFACE DIFFERENCES:
- * This class replaces the () operator with HarmonicSum(). - * - * Coefficients returns a SphericalCoefficients object. - **********************************************************************/ - public ref class SphericalHarmonic1 - { - private: - // pointer to the unmanaged GeographicLib::SphericalHarmonic1. - const GeographicLib::SphericalHarmonic1* m_pSphericalHarmonic1; - - // the finalizer destroys the unmanaged memory when the object is destroyed. - !SphericalHarmonic1(void); - // the number of coefficient vectors. - static const int m_numCoeffVectors = 2; - // local containers for the cosine and sine coefficients. The - // GeographicLib::SphericalEngine::coeffs class uses a - // std::vector::iterator to access these vectors. - std::vector **m_C, **m_S; - public: - /** - * Supported normalizations for associate Legendre polynomials. - **********************************************************************/ - enum class Normalization { - /** - * Fully normalized associated Legendre polynomials. See - * SphericalHarmonic::FULL for documentation. - * - * @hideinitializer - **********************************************************************/ - FULL = GeographicLib::SphericalEngine::FULL, - /** - * Schmidt semi-normalized associated Legendre polynomials. See - * SphericalHarmonic::SCHMIDT for documentation. - * - * @hideinitializer - **********************************************************************/ - SCHMIDT = GeographicLib::SphericalEngine::SCHMIDT, - }; - - /** - * Constructor with a full set of coefficients specified. - * - * @param[in] C the coefficients \e C\e nm. - * @param[in] S the coefficients \e S\e nm. - * @param[in] N the maximum degree and order of the sum - * @param[in] C1 the coefficients \e C'\e nm. - * @param[in] S1 the coefficients \e S'\e nm. - * @param[in] N1 the maximum degree and order of the correction - * coefficients \e C'\e nm and \e S'\e nm. - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic1::FULL (the default) or - * SphericalHarmonic1::SCHMIDT. - * @exception GeographicErr if \e N and \e N1 do not satisfy \e N ≥ - * \e N1 ≥ −1. - * @exception GeographicErr if any of the vectors of coefficients is not - * large enough. - * - * See SphericalHarmonic for the way the coefficients should be stored. - * - * The class stores pointers to the first elements of \e C, \e S, \e - * C', and \e S'. These arrays should not be altered or destroyed during - * the lifetime of a SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic1(array^ C, - array^ S, - int N, - array^ C1, - array^ S1, - int N1, - double a, - Normalization norm ); - - /** - * Constructor with a subset of coefficients specified. - * - * @param[in] C the coefficients \e C\e nm. - * @param[in] S the coefficients \e S\e nm. - * @param[in] N the degree used to determine the layout of \e C and \e S. - * @param[in] nmx the maximum degree used in the sum. The sum over \e n is - * from 0 thru \e nmx. - * @param[in] mmx the maximum order used in the sum. The sum over \e m is - * from 0 thru min(\e n, \e mmx). - * @param[in] C1 the coefficients \e C'\e nm. - * @param[in] S1 the coefficients \e S'\e nm. - * @param[in] N1 the degree used to determine the layout of \e C' and \e - * S'. - * @param[in] nmx1 the maximum degree used for \e C' and \e S'. - * @param[in] mmx1 the maximum order used for \e C' and \e S'. - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic1::FULL (the default) or - * SphericalHarmonic1::SCHMIDT. - * @exception GeographicErr if the parameters do not satisfy \e N ≥ \e - * nmx ≥ \e mmx ≥ −1; \e N1 ≥ \e nmx1 ≥ \e mmx1 ≥ - * −1; \e N ≥ \e N1; \e nmx ≥ \e nmx1; \e mmx ≥ \e mmx1. - * @exception GeographicErr if any of the vectors of coefficients is not - * large enough. - * - * The class stores pointers to the first elements of \e C, \e S, \e - * C', and \e S'. These arrays should not be altered or destroyed during - * the lifetime of a SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic1(array^ C, - array^ S, - int N, int nmx, int mmx, - array^ C1, - array^ S1, - int N1, int nmx1, int mmx1, - double a, - Normalization norm ); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~SphericalHarmonic1() - { this->!SphericalHarmonic1(); } - - /** - * Compute a spherical harmonic sum with a correction term. - * - * @param[in] tau multiplier for correction coefficients \e C' and \e S'. - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @return \e V the spherical harmonic sum. - * - * This routine requires constant memory and thus never throws - * an exception. - **********************************************************************/ - double HarmonicSum(double tau, double x, double y, double z); - - /** - * Compute a spherical harmonic sum with a correction term and its - * gradient. - * - * @param[in] tau multiplier for correction coefficients \e C' and \e S'. - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @param[out] gradx \e x component of the gradient - * @param[out] grady \e y component of the gradient - * @param[out] gradz \e z component of the gradient - * @return \e V the spherical harmonic sum. - * - * This is the same as the previous function, except that the components of - * the gradients of the sum in the \e x, \e y, and \e z directions are - * computed. This routine requires constant memory and thus never throws - * an exception. - **********************************************************************/ - double HarmonicSum(double tau, double x, double y, double z, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz); - - /** - * Create a CircularEngine to allow the efficient evaluation of several - * points on a circle of latitude at a fixed value of \e tau. - * - * @param[in] tau the multiplier for the correction coefficients. - * @param[in] p the radius of the circle. - * @param[in] z the height of the circle above the equatorial plane. - * @param[in] gradp if true the returned object will be able to compute the - * gradient of the sum. - * @exception std::bad_alloc if the memory for the CircularEngine can't be - * allocated. - * @return the CircularEngine object. - * - * SphericalHarmonic1::operator()() exchanges the order of the sums in the - * definition, i.e., ∑n = 0..N ∑m = 0..n - * becomes ∑m = 0..N ∑n = m..N. - * SphericalHarmonic1::Circle performs the inner sum over degree \e n - * (which entails about N2 operations). Calling - * CircularEngine::operator()() on the returned object performs the outer - * sum over the order \e m (about \e N operations). - * - * See SphericalHarmonic::Circle for an example of its use. - **********************************************************************/ - CircularEngine^ Circle(double tau, double p, double z, bool gradp); - - /** - * @return the zeroth SphericalCoefficients object. - **********************************************************************/ - SphericalCoefficients^ Coefficients(); - - /** - * @return the first SphericalCoefficients object. - **********************************************************************/ - SphericalCoefficients^ Coefficients1(); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic2.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic2.cpp deleted file mode 100644 index 0ce4a343e1e5a737e236cd1b71dc594e7531637a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic2.cpp +++ /dev/null @@ -1,186 +0,0 @@ -/** - * \file NETGeographicLib/SphericalHarmonic2.cpp - * \brief Implementation for NETGeographicLib::SphericalHarmonic2 class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/SphericalHarmonic2.hpp" -#include "SphericalHarmonic2.h" -#include "CircularEngine.h" -#include "SphericalCoefficients.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::SphericalHarmonic2"; - -//***************************************************************************** -SphericalHarmonic2::!SphericalHarmonic2(void) -{ - if ( m_pSphericalHarmonic2 != NULL ) - { - delete m_pSphericalHarmonic2; - m_pSphericalHarmonic2 = NULL; - } - - if ( m_C != NULL ) - { - for ( int i = 0; i < m_numCoeffVectors; i++ ) - if ( m_C[i] != NULL ) - delete m_C[i]; - delete [] m_C; - m_C = NULL; - } - - if ( m_S != NULL ) - { - for ( int i = 0; i < m_numCoeffVectors; i++ ) - if ( m_S[i] != NULL ) - delete m_S[i]; - delete [] m_S; - m_S = NULL; - } -} - -//***************************************************************************** -SphericalHarmonic2::SphericalHarmonic2(array^ C, - array^ S, - int N, - array^ C1, - array^ S1, - int N1, - array^ C2, - array^ S2, - int N2, - double a, - Normalization norm ) -{ - try - { - m_C = new std::vector*[m_numCoeffVectors]; - for ( int i = 0; i < m_numCoeffVectors; i++ ) m_C[i] = new std::vector(); - m_S = new std::vector*[m_numCoeffVectors]; - for ( int i = 0; i < m_numCoeffVectors; i++ ) m_S[i] = new std::vector(); - for each ( double x in C ) m_C[0]->push_back( x ); - for each ( double x in S ) m_S[0]->push_back( x ); - for each ( double x in C1 ) m_C[1]->push_back( x ); - for each ( double x in S1 ) m_S[1]->push_back( x ); - for each ( double x in C2 ) m_C[2]->push_back( x ); - for each ( double x in S2 ) m_S[2]->push_back( x ); - m_pSphericalHarmonic2 = new GeographicLib::SphericalHarmonic2( *m_C[0], *m_S[0], N, - *m_C[1], *m_S[1], N1, *m_C[2], *m_S[2], N2, a, (unsigned)norm); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( System::Exception^ sxpt ) - { - throw gcnew GeographicErr( sxpt->Message ); - } -} - -//***************************************************************************** -SphericalHarmonic2::SphericalHarmonic2(array^ C, - array^ S, - int N, int nmx, int mmx, - array^ C1, - array^ S1, - int N1, int nmx1, int mmx1, - array^ C2, - array^ S2, - int N2, int nmx2, int mmx2, - double a, - Normalization norm ) -{ - try - { - m_C = new std::vector*[m_numCoeffVectors]; - for ( int i = 0; i < m_numCoeffVectors; i++ ) m_C[i] = new std::vector(); - m_S = new std::vector*[m_numCoeffVectors]; - for ( int i = 0; i < m_numCoeffVectors; i++ ) m_S[i] = new std::vector(); - for each ( double x in C ) m_C[0]->push_back( x ); - for each ( double x in S ) m_S[0]->push_back( x ); - for each ( double x in C1 ) m_C[1]->push_back( x ); - for each ( double x in S1 ) m_S[1]->push_back( x ); - for each ( double x in C2 ) m_C[2]->push_back( x ); - for each ( double x in S2 ) m_S[2]->push_back( x ); - m_pSphericalHarmonic2 = new GeographicLib::SphericalHarmonic2( *m_C[0], *m_S[0], N, - nmx, mmx, *m_C[1], *m_S[1], N1, nmx1, mmx1, *m_C[2], *m_S[2], N2, nmx2, mmx2, a, - (unsigned)norm ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } - catch ( System::Exception^ sxpt ) - { - throw gcnew GeographicErr( sxpt->Message ); - } -} - -//***************************************************************************** -double SphericalHarmonic2::HarmonicSum(double tau1, double tau2, double x, double y, double z) -{ - return m_pSphericalHarmonic2->operator()( tau1, tau2, x, y, z ); -} - -//***************************************************************************** -double SphericalHarmonic2::HarmonicSum(double tau1, double tau2, double x, double y, double z, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz) -{ - double lgradx, lgrady, lgradz; - double out = m_pSphericalHarmonic2->operator()( tau1, tau2, x, y, z, - lgradx, lgrady, lgradz ); - gradx = lgradx; - grady = lgrady; - gradz = lgradz; - return out; -} - -//***************************************************************************** -CircularEngine^ SphericalHarmonic2::Circle(double tau1, double tau2, double p, - double z, bool gradp) -{ - try - { - return gcnew CircularEngine( m_pSphericalHarmonic2->Circle( tau1, tau2, p, z, gradp ) ); - } - catch ( std::bad_alloc ) - { - throw gcnew GeographicErr( "Memory allocation error in SphericalHarmonic2::Circle" ); - } -} - -//***************************************************************************** -SphericalCoefficients^ SphericalHarmonic2::Coefficients() -{ - return gcnew SphericalCoefficients( m_pSphericalHarmonic2->Coefficients() ); -} - -//***************************************************************************** -SphericalCoefficients^ SphericalHarmonic2::Coefficients1() -{ - return gcnew SphericalCoefficients( m_pSphericalHarmonic2->Coefficients1() ); -} - -//***************************************************************************** -SphericalCoefficients^ SphericalHarmonic2::Coefficients2() -{ - return gcnew SphericalCoefficients( m_pSphericalHarmonic2->Coefficients2() ); -} diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic2.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic2.h deleted file mode 100644 index 9d38c9ef03b9992508e1e60e3add3b5bbc262d04..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/SphericalHarmonic2.h +++ /dev/null @@ -1,251 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/SphericalHarmonic2.h - * \brief Header for NETGeographicLib::SphericalHarmonic2 class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - ref class CircularEngine; - ref class SphericalCoefficients; - /** - * \brief .NET wrapper for GeographicLib::SphericalHarmonic2. - * - * This class allows .NET applications to access GeographicLib::SphericalHarmonic2. - * - * This class is similar to SphericalHarmonic, except that the coefficients - * \e C\e nm are replaced by \e C\e nm + \e tau' - * C'\e nm + \e tau'' C''\e nm (and similarly for \e - * S\e nm). - * - * C# Example: - * \include example-SphericalHarmonic2.cs - * Managed C++ Example: - * \include example-SphericalHarmonic2.cpp - * Visual Basic Example: - * \include example-SphericalHarmonic2.vb - * - * INTERFACE DIFFERENCES:
- * This class replaces the () operator with HarmonicSum(). - * - * Coefficients, Coefficients1, and Coefficients2 return a SphericalCoefficients - * object. - **********************************************************************/ - public ref class SphericalHarmonic2 - { - private: - // pointer to the unmanaged GeographicLib::SphericalHarmonic2 - const GeographicLib::SphericalHarmonic2* m_pSphericalHarmonic2; - // the finalizer destroys the unmanaged memory when the object is destroyed. - !SphericalHarmonic2(void); - // the number of coefficient vectors. - static const int m_numCoeffVectors = 3; - // local containers for the cosine and sine coefficients. The - // GeographicLib::SphericalEngine::coeffs class uses a - // std::vector::iterator to access these vectors. - std::vector **m_C, **m_S; - public: - /** - * Supported normalizations for associate Legendre polynomials. - **********************************************************************/ - enum class Normalization { - /** - * Fully normalized associated Legendre polynomials. See - * SphericalHarmonic::FULL for documentation. - * - * @hideinitializer - **********************************************************************/ - FULL = GeographicLib::SphericalEngine::FULL, - /** - * Schmidt semi-normalized associated Legendre polynomials. See - * SphericalHarmonic::SCHMIDT for documentation. - * - * @hideinitializer - **********************************************************************/ - SCHMIDT = GeographicLib::SphericalEngine::SCHMIDT - }; - - /** - * Constructor with a full set of coefficients specified. - * - * @param[in] C the coefficients \e C\e nm. - * @param[in] S the coefficients \e S\e nm. - * @param[in] N the maximum degree and order of the sum - * @param[in] C1 the coefficients \e C'\e nm. - * @param[in] S1 the coefficients \e S'\e nm. - * @param[in] N1 the maximum degree and order of the first correction - * coefficients \e C'\e nm and \e S'\e nm. - * @param[in] C2 the coefficients \e C''\e nm. - * @param[in] S2 the coefficients \e S''\e nm. - * @param[in] N2 the maximum degree and order of the second correction - * coefficients \e C'\e nm and \e S'\e nm. - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic2::FULL (the default) or - * SphericalHarmonic2::SCHMIDT. - * @exception GeographicErr if \e N and \e N1 do not satisfy \e N ≥ - * \e N1 ≥ −1, and similarly for \e N2. - * @exception GeographicErr if any of the vectors of coefficients is not - * large enough. - * - * See SphericalHarmonic for the way the coefficients should be stored. \e - * N1 and \e N2 should satisfy \e N1 ≤ \e N and \e N2 ≤ \e N. - * - * The class stores pointers to the first elements of \e C, \e S, \e - * C', \e S', \e C'', and \e S''. These arrays should not be altered or - * destroyed during the lifetime of a SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic2(array^ C, - array^ S, - int N, - array^ C1, - array^ S1, - int N1, - array^ C2, - array^ S2, - int N2, - double a, - Normalization norm ); - - /** - * Constructor with a subset of coefficients specified. - * - * @param[in] C the coefficients \e C\e nm. - * @param[in] S the coefficients \e S\e nm. - * @param[in] N the degree used to determine the layout of \e C and \e S. - * @param[in] nmx the maximum degree used in the sum. The sum over \e n is - * from 0 thru \e nmx. - * @param[in] mmx the maximum order used in the sum. The sum over \e m is - * from 0 thru min(\e n, \e mmx). - * @param[in] C1 the coefficients \e C'\e nm. - * @param[in] S1 the coefficients \e S'\e nm. - * @param[in] N1 the degree used to determine the layout of \e C' and \e - * S'. - * @param[in] nmx1 the maximum degree used for \e C' and \e S'. - * @param[in] mmx1 the maximum order used for \e C' and \e S'. - * @param[in] C2 the coefficients \e C''\e nm. - * @param[in] S2 the coefficients \e S''\e nm. - * @param[in] N2 the degree used to determine the layout of \e C'' and \e - * S''. - * @param[in] nmx2 the maximum degree used for \e C'' and \e S''. - * @param[in] mmx2 the maximum order used for \e C'' and \e S''. - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic2::FULL (the default) or - * SphericalHarmonic2::SCHMIDT. - * @exception GeographicErr if the parameters do not satisfy \e N ≥ \e - * nmx ≥ \e mmx ≥ −1; \e N1 ≥ \e nmx1 ≥ \e mmx1 ≥ - * −1; \e N ≥ \e N1; \e nmx ≥ \e nmx1; \e mmx ≥ \e mmx1; - * and similarly for \e N2, \e nmx2, and \e mmx2. - * @exception GeographicErr if any of the vectors of coefficients is not - * large enough. - * - * The class stores pointers to the first elements of \e C, \e S, \e - * C', \e S', \e C'', and \e S''. These arrays should not be altered or - * destroyed during the lifetime of a SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic2(array^ C, - array^ S, - int N, int nmx, int mmx, - array^ C1, - array^ S1, - int N1, int nmx1, int mmx1, - array^ C2, - array^ S2, - int N2, int nmx2, int mmx2, - double a, - Normalization norm ); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~SphericalHarmonic2() - { this->!SphericalHarmonic2(); } - - /** - * Compute a spherical harmonic sum with two correction terms. - * - * @param[in] tau1 multiplier for correction coefficients \e C' and \e S'. - * @param[in] tau2 multiplier for correction coefficients \e C'' and \e S''. - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @return \e V the spherical harmonic sum. - * - * This routine requires constant memory and thus never throws an - * exception. - **********************************************************************/ - double HarmonicSum(double tau1, double tau2, double x, double y, double z); - - /** - * Compute a spherical harmonic sum with two correction terms and its - * gradient. - * - * @param[in] tau1 multiplier for correction coefficients \e C' and \e S'. - * @param[in] tau2 multiplier for correction coefficients \e C'' and \e S''. - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @param[out] gradx \e x component of the gradient - * @param[out] grady \e y component of the gradient - * @param[out] gradz \e z component of the gradient - * @return \e V the spherical harmonic sum. - * - * This is the same as the previous function, except that the components of - * the gradients of the sum in the \e x, \e y, and \e z directions are - * computed. This routine requires constant memory and thus never throws - * an exception. - **********************************************************************/ - double HarmonicSum(double tau1, double tau2, double x, double y, double z, - [System::Runtime::InteropServices::Out] double% gradx, - [System::Runtime::InteropServices::Out] double% grady, - [System::Runtime::InteropServices::Out] double% gradz); - - /** - * Create a CircularEngine to allow the efficient evaluation of several - * points on a circle of latitude at fixed values of \e tau1 and \e tau2. - * - * @param[in] tau1 multiplier for correction coefficients \e C' and \e S'. - * @param[in] tau2 multiplier for correction coefficients \e C'' and \e S''. - * @param[in] p the radius of the circle. - * @param[in] z the height of the circle above the equatorial plane. - * @param[in] gradp if true the returned object will be able to compute the - * gradient of the sum. - * @exception std::bad_alloc if the memory for the CircularEngine can't be - * allocated. - * @return the CircularEngine object. - * - * SphericalHarmonic2::operator()() exchanges the order of the sums in the - * definition, i.e., ∑n = 0..N ∑m = 0..n - * becomes ∑m = 0..N ∑n = m..N.. - * SphericalHarmonic2::Circle performs the inner sum over degree \e n - * (which entails about N2 operations). Calling - * CircularEngine::operator()() on the returned object performs the outer - * sum over the order \e m (about \e N operations). - * - * See SphericalHarmonic::Circle for an example of its use. - **********************************************************************/ - CircularEngine^ Circle(double tau1, double tau2, double p, double z, bool gradp); - - /** - * @return the zeroth SphericalCoefficients object. - **********************************************************************/ - SphericalCoefficients^ Coefficients(); - /** - * @return the first SphericalCoefficients object. - **********************************************************************/ - SphericalCoefficients^ Coefficients1(); - /** - * @return the second SphericalCoefficients object. - **********************************************************************/ - SphericalCoefficients^ Coefficients2(); - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercator.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercator.cpp deleted file mode 100644 index 75b9e96eb32656627ba87703f9806164b525cf09..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercator.cpp +++ /dev/null @@ -1,123 +0,0 @@ -/** - * \file NETGeographicLib/TransverseMercator.cpp - * \brief Implementation for NETGeographicLib::TransverseMercator class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/TransverseMercator.hpp" -#include "TransverseMercator.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Failed to allocate memory for a GeographicLib::TransverseMercator"; - -//***************************************************************************** -TransverseMercator::!TransverseMercator(void) -{ - if ( m_pTransverseMercator != NULL ) - { - delete m_pTransverseMercator; - m_pTransverseMercator = NULL; - } -} - -//***************************************************************************** -TransverseMercator::TransverseMercator(double a, double f, double k0) -{ - try - { - m_pTransverseMercator = new GeographicLib::TransverseMercator( a, f, k0 ); - } - catch (std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch (std::exception err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -TransverseMercator::TransverseMercator() -{ - try - { - m_pTransverseMercator = new GeographicLib::TransverseMercator( - GeographicLib::TransverseMercator::UTM() ); - } - catch (std::bad_alloc ) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void TransverseMercator::Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double lx, ly, lgamma, lk; - m_pTransverseMercator->Forward( lon0, lat, lon, lx, ly, lgamma, lk ); - x = lx; - y = ly; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void TransverseMercator::Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double llat, llon, lgamma, lk; - m_pTransverseMercator->Reverse( lon0, x, y, llat, llon, lgamma, lk ); - lat = llat; - lon = llon; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void TransverseMercator::Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y) -{ - double lx, ly; - m_pTransverseMercator->Forward( lon0, lat, lon, lx, ly ); - x = lx; - y = ly; -} - -//***************************************************************************** -void TransverseMercator::Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - m_pTransverseMercator->Reverse( lon0, x, y, llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double TransverseMercator::EquatorialRadius::get() -{ return m_pTransverseMercator->EquatorialRadius(); } - -//***************************************************************************** -double TransverseMercator::Flattening::get() -{ return m_pTransverseMercator->Flattening(); } - -//***************************************************************************** -double TransverseMercator::CentralScale::get() -{ return m_pTransverseMercator->CentralScale(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercator.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercator.h deleted file mode 100644 index 9ae0846abcb209332235dd3d0489a9197e148894..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercator.h +++ /dev/null @@ -1,185 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/TransverseMercator.h - * \brief Header for NETGeographicLib::TransverseMercator class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::TransverseMercator. - * - * This class allows .NET applications to access GeographicLib::TransverseMercator. - * - * This uses Krüger's method which evaluates the projection and its - * inverse in terms of a series. See - * - L. Krüger, - * Konforme - * Abbildung des Erdellipsoids in der Ebene (Conformal mapping of the - * ellipsoidal earth to the plane), Royal Prussian Geodetic Institute, New - * Series 52, 172 pp. (1912). - * - C. F. F. Karney, - * - * Transverse Mercator with an accuracy of a few nanometers, - * J. Geodesy 85(8), 475--485 (Aug. 2011); - * preprint - * arXiv:1002.1417. - * - * Krüger's method has been extended from 4th to 6th order. The maximum - * error is 5 nm (5 nanometers), ground distance, for all positions within 35 - * degrees of the central meridian. The error in the convergence is 2 - * × 10−15" and the relative error in the scale - * is 6 − 10−12%%. See Sec. 4 of - * arXiv:1002.1417 for details. - * The speed penalty in going to 6th order is only about 1%. - * TransverseMercatorExact is an alternative implementation of the projection - * using exact formulas which yield accurate (to 8 nm) results over the - * entire ellipsoid. - * - * The ellipsoid parameters and the central scale are set in the constructor. - * The central meridian (which is a trivial shift of the longitude) is - * specified as the \e lon0 argument of the TransverseMercator::Forward and - * TransverseMercator::Reverse functions. The latitude of origin is taken to - * be the equator. There is no provision in this class for specifying a - * false easting or false northing or a different latitude of origin. - * However these are can be simply included by the calling function. For - * example, the UTMUPS class applies the false easting and false northing for - * the UTM projections. A more complicated example is the British National - * Grid ( - * EPSG:7405) which requires the use of a latitude of origin. This is - * implemented by the GeographicLib::OSGB class. - * - * See GeographicLib::TransverseMercator.cpp for more information on the - * implementation. - * - * See \ref transversemercator for a discussion of this projection. - * - * C# Example: - * \include example-TransverseMercator.cs - * Managed C++ Example: - * \include example-TransverseMercator.cpp - * Visual Basic Example: - * \include example-TransverseMercator.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor is provided that assumes WGS84 parameters and - * a UTM scale factor. - * - * The EquatorialRadius, Flattening, and CentralScale functions are - * implemented as properties. - **********************************************************************/ - public ref class TransverseMercator - { - private: - // pointer to the unmanaged GeographicLib::TransverseMercator. - const GeographicLib::TransverseMercator* m_pTransverseMercator; - // the finalizer frees the unmanaged memory when the object is destroyed. - !TransverseMercator(void); - public: - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] k0 central scale factor. - * @exception GeographicErr if \e a, (1 − \e f ) \e a, or \e k0 is - * not positive. - **********************************************************************/ - TransverseMercator(double a, double f, double k0); - - /** - * The default constructor assumes a WGS84 ellipsoid and a UTM scale - * factor. - **********************************************************************/ - TransverseMercator(); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~TransverseMercator() - { this->!TransverseMercator(); } - - /** - * Forward projection, from geographic to transverse Mercator. - * - * @param[in] lon0 central meridian of the projection (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. \e lat should be in the range - * [−90°, 90°]. - **********************************************************************/ - void Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * Reverse projection, from transverse Mercator to geographic. - * - * @param[in] lon0 central meridian of the projection (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. The value of \e lon returned - * is in the range [−180°, 180°). - **********************************************************************/ - void Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * TransverseMercator::Forward without returning the convergence and scale. - **********************************************************************/ - void Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * TransverseMercator::Reverse without returning the convergence and scale. - **********************************************************************/ - void Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value used in - * the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return \e k0 central scale for the projection. This is the value of \e - * k0 used in the constructor and is the scale on the central meridian. - **********************************************************************/ - property double CentralScale { double get(); } - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercatorExact.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercatorExact.cpp deleted file mode 100644 index bb0cb879b4cc012fe232d06ecdd530d0086f5a44..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercatorExact.cpp +++ /dev/null @@ -1,128 +0,0 @@ -/** - * \file NETGeographicLib/TransverseMercatorExact.cpp - * \brief Implementation for NETGeographicLib::TransverseMercatorExact class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/TransverseMercatorExact.hpp" -#include "TransverseMercatorExact.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -const char BADALLOC[] = "Unable to allocate memory for a GeographicLib::TransverseMercatorExact"; - -//***************************************************************************** -TransverseMercatorExact::!TransverseMercatorExact(void) -{ - if ( m_pTransverseMercatorExact != NULL ) - { - delete m_pTransverseMercatorExact; - m_pTransverseMercatorExact = NULL; - } -} - -//***************************************************************************** -TransverseMercatorExact::TransverseMercatorExact(double a, double f, double k0, - bool extendp) -{ - try - { - m_pTransverseMercatorExact = new GeographicLib::TransverseMercatorExact( - a, f, k0, extendp ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } - catch ( std::exception err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -TransverseMercatorExact::TransverseMercatorExact() -{ - try - { - m_pTransverseMercatorExact = - new GeographicLib::TransverseMercatorExact( - GeographicLib::TransverseMercatorExact::UTM() ); - } - catch (std::bad_alloc) - { - throw gcnew GeographicErr( BADALLOC ); - } -} - -//***************************************************************************** -void TransverseMercatorExact::Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double lx, ly, lgamma, lk; - m_pTransverseMercatorExact->Forward( lon0, lat, lon, lx, ly, - lgamma, lk ); - x = lx; - y = ly; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void TransverseMercatorExact::Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k) -{ - double llat, llon, lgamma, lk; - m_pTransverseMercatorExact->Reverse( lon0, x, y, llat, llon, - lgamma, lk ); - lat = llat; - lon = llon; - gamma = lgamma; - k = lk; -} - -//***************************************************************************** -void TransverseMercatorExact::Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y) -{ - double lx, ly; - m_pTransverseMercatorExact->Forward( lon0, lat, lon, lx, ly ); - x = lx; - y = ly; -} - -//***************************************************************************** -void TransverseMercatorExact::Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon) -{ - double llat, llon; - m_pTransverseMercatorExact->Reverse( lon0, x, y, llat, llon ); - lat = llat; - lon = llon; -} - -//***************************************************************************** -double TransverseMercatorExact::EquatorialRadius::get() -{ return m_pTransverseMercatorExact->EquatorialRadius(); } - -//***************************************************************************** -double TransverseMercatorExact::Flattening::get() -{ return m_pTransverseMercatorExact->Flattening(); } - -//***************************************************************************** -double TransverseMercatorExact::CentralScale::get() -{ return m_pTransverseMercatorExact->CentralScale(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercatorExact.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercatorExact.h deleted file mode 100644 index 926fbcc9fe07b647251ae1f9f2efdff60e2d5200..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/TransverseMercatorExact.h +++ /dev/null @@ -1,233 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/TransverseMercatorExact.h - * \brief Header for NETGeographicLib::TransverseMercatorExact class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::TransverseMercatorExact. - * - * This class allows .NET applications to access GeographicLib::TransverseMercatorExact. - * - * Implementation of the Transverse Mercator Projection given in - * - L. P. Lee, - * Conformal - * Projections Based On Jacobian Elliptic Functions, Part V of - * Conformal Projections Based on Elliptic Functions, - * (B. V. Gutsell, Toronto, 1976), 128pp., - * ISBN: 0919870163 - * (also appeared as: - * Monograph 16, Suppl. No. 1 to Canadian Cartographer, Vol 13). - * - C. F. F. Karney, - * - * Transverse Mercator with an accuracy of a few nanometers, - * J. Geodesy 85(8), 475--485 (Aug. 2011); - * preprint - * arXiv:1002.1417. - * - * Lee gives the correct results for forward and reverse transformations - * subject to the branch cut rules (see the description of the \e extendp - * argument to the constructor). The maximum error is about 8 nm (8 - * nanometers), ground distance, for the forward and reverse transformations. - * The error in the convergence is 2 × 10−15", - * the relative error in the scale is 7 × 10−12%%. - * See Sec. 3 of - * arXiv:1002.1417 for details. - * The method is "exact" in the sense that the errors are close to the - * round-off limit and that no changes are needed in the algorithms for them - * to be used with reals of a higher precision. Thus the errors using long - * double (with a 64-bit fraction) are about 2000 times smaller than using - * double (with a 53-bit fraction). - * - * This algorithm is about 4.5 times slower than the 6th-order Krüger - * method, TransverseMercator, taking about 11 us for a combined forward and - * reverse projection on a 2.66 GHz Intel machine (g++, version 4.3.0, -O3). - * - * The ellipsoid parameters and the central scale are set in the constructor. - * The central meridian (which is a trivial shift of the longitude) is - * specified as the \e lon0 argument of the TransverseMercatorExact::Forward - * and TransverseMercatorExact::Reverse functions. The latitude of origin is - * taken to be the equator. See the documentation on TransverseMercator for - * how to include a false easting, false northing, or a latitude of origin. - * - * See tm-grid.kmz, for an - * illustration of the transverse Mercator grid in Google Earth. - * - * See GeographicLib::TransverseMercatorExact.cpp for more information on the - * implementation. - * - * See \ref transversemercator for a discussion of this projection. - * - * C# Example: - * \include example-TransverseMercatorExact.cs - * Managed C++ Example: - * \include example-TransverseMercatorExact.cpp - * Visual Basic Example: - * \include example-TransverseMercatorExact.vb - * - * INTERFACE DIFFERENCES:
- * A default constructor is provided that assumes WGS84 parameters and - * a UTM scale factor. - * - * The EquatorialRadius, Flattening, and CentralScale functions are - * implemented as properties. - **********************************************************************/ - public ref class TransverseMercatorExact - { - private: - // a pointer to the unmanaged GeographicLib::TransverseMercatorExact. - GeographicLib::TransverseMercatorExact* m_pTransverseMercatorExact; - // the finalizer frees the unmanaged memory when the object is destroyed. - !TransverseMercatorExact(void); - public: - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. - * @param[in] k0 central scale factor. - * @param[in] extendp use extended domain. - * @exception GeographicErr if \e a, \e f, or \e k0 is not positive. - * - * The transverse Mercator projection has a branch point singularity at \e - * lat = 0 and \e lon − \e lon0 = 90 (1 − \e e) or (for - * TransverseMercatorExact::UTM) x = 18381 km, y = 0m. The \e extendp - * argument governs where the branch cut is placed. With \e extendp = - * false, the "standard" convention is followed, namely the cut is placed - * along \e x > 18381 km, \e y = 0m. Forward can be called with any \e lat - * and \e lon then produces the transformation shown in Lee, Fig 46. - * Reverse analytically continues this in the ± \e x direction. As - * a consequence, Reverse may map multiple points to the same geographic - * location; for example, for TransverseMercatorExact::UTM, \e x = - * 22051449.037349 m, \e y = −7131237.022729 m and \e x = - * 29735142.378357 m, \e y = 4235043.607933 m both map to \e lat = - * −2°, \e lon = 88°. - * - * With \e extendp = true, the branch cut is moved to the lower left - * quadrant. The various symmetries of the transverse Mercator projection - * can be used to explore the projection on any sheet. In this mode the - * domains of \e lat, \e lon, \e x, and \e y are restricted to - * - the union of - * - \e lat in [0, 90] and \e lon − \e lon0 in [0, 90] - * - \e lat in (-90, 0] and \e lon − \e lon0 in [90 (1 − \e - e), 90] - * - the union of - * - x/(\e k0 \e a) in [0, ∞) and - * y/(\e k0 \e a) in [0, E(e2)] - * - x/(\e k0 \e a) in [K(1 − e2) − - * E(1 − e2), ∞) and y/(\e k0 \e - * a) in (−∞, 0] - * . - * See Sec. 5 of - * arXiv:1002.1417 for a full - * discussion of the treatment of the branch cut. - * - * The method will work for all ellipsoids used in terrestrial geodesy. - * The method cannot be applied directly to the case of a sphere (\e f = 0) - * because some the constants characterizing this method diverge in that - * limit, and in practice, \e f should be larger than about - * numeric_limits::epsilon(). However, TransverseMercator treats the - * sphere exactly. - **********************************************************************/ - TransverseMercatorExact(double a, double f, double k0, bool extendp ); - - /** - * The default constructor assumes a WGS84 ellipsoid and a UTM scale - * factor. - **********************************************************************/ - TransverseMercatorExact(); - - /** - * The destructor calls the finalizer. - **********************************************************************/ - ~TransverseMercatorExact() - { this->!TransverseMercatorExact(); } - - /** - * Forward projection, from geographic to transverse Mercator. - * - * @param[in] lon0 central meridian of the projection (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. \e lat should be in the range - * [−90°, 90°]. - **********************************************************************/ - void Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * Reverse projection, from transverse Mercator to geographic. - * - * @param[in] lon0 central meridian of the projection (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. The value of \e lon returned - * is in the range [−180°, 180°). - **********************************************************************/ - void Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k); - - /** - * TransverseMercatorExact::Forward without returning the convergence and - * scale. - **********************************************************************/ - void Forward(double lon0, double lat, double lon, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y); - - /** - * TransverseMercatorExact::Reverse without returning the convergence and - * scale. - **********************************************************************/ - void Reverse(double lon0, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - property double EquatorialRadius { double get(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value used in - * the constructor. - **********************************************************************/ - property double Flattening { double get(); } - - /** - * @return \e k0 central scale for the projection. This is the value of \e - * k0 used in the constructor and is the scale on the central meridian. - **********************************************************************/ - property double CentralScale { double get(); } - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/UTMUPS.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/UTMUPS.cpp deleted file mode 100644 index eb34b9223d803af346be80c26dfad642f837728e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/UTMUPS.cpp +++ /dev/null @@ -1,215 +0,0 @@ -/** - * \file NETGeographicLib/UTMUPS.cpp - * \brief Implementation for NETGeographicLib::UTMUPS class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -#include "stdafx.h" -#include "GeographicLib/UTMUPS.hpp" -#include "UTMUPS.h" -#include "NETGeographicLib.h" - -using namespace NETGeographicLib; - -//***************************************************************************** -int UTMUPS::StandardZone(double lat, double lon, int setzone) -{ - try - { - return GeographicLib::UTMUPS::StandardZone( lat, lon, setzone ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void UTMUPS::Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k, - int setzone, bool mgrslimits) -{ - try - { - int lzone; - bool lnorthp; - double lx, ly, lgamma, lk; - GeographicLib::UTMUPS::Forward(lat, lon, - lzone, lnorthp, lx, ly, - lgamma, lk, - setzone, mgrslimits); - zone = lzone; - northp = lnorthp; - x = lx; - y = ly; - gamma = lgamma; - k = lk; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void UTMUPS::Reverse(int zone, bool northp, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k, - bool mgrslimits) -{ - try - { - double llat, llon, lgamma, lk; - GeographicLib::UTMUPS::Reverse( zone, northp, x, y, llat, llon, lgamma, - lk, mgrslimits ); - lat = llat; - lon = llon; - gamma = lgamma; - k = lk; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void UTMUPS::Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - int setzone, bool mgrslimits ) -{ - try - { - double gamma, k, lx, ly; - bool lnorthp; - int lzone; - GeographicLib::UTMUPS::Forward(lat, lon, lzone, lnorthp, lx, ly, - gamma, k, setzone, mgrslimits); - x = lx; - y = ly; - zone = lzone; - northp = lnorthp; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void UTMUPS::Reverse(int zone, bool northp, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - bool mgrslimits) -{ - try - { - double gamma, k, llat, llon; - GeographicLib::UTMUPS::Reverse(zone, northp, x, y, llat, llon, gamma, - k, mgrslimits); - lat = llat; - lon = llon; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void UTMUPS::Transfer(int zonein, bool northpin, double xin, double yin, - int zoneout, bool northpout, - [System::Runtime::InteropServices::Out] double% xout, - [System::Runtime::InteropServices::Out] double% yout, - [System::Runtime::InteropServices::Out] int% zone) -{ - try - { - int lzone; - double lxout, lyout; - GeographicLib::UTMUPS::Transfer(zonein, northpin, xin, yin, - zoneout, northpout, lxout, lyout, - lzone); - xout = lxout; - yout = lyout; - zone = lzone; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void UTMUPS::DecodeZone(System::String^ zonestr, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp) -{ - try - { - std::string zoneIn = StringConvert::ManagedToUnmanaged( zonestr ); - int lzone; - bool lnorthp; - GeographicLib::UTMUPS::DecodeZone( zoneIn, lzone, lnorthp ); - zone = lzone; - northp = lnorthp; - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -System::String^ UTMUPS::EncodeZone(int zone, bool northp, bool abbrev) -{ - try - { - return StringConvert::UnmanagedToManaged( GeographicLib::UTMUPS::EncodeZone( zone, northp, abbrev ) ); - } - catch ( const std::exception& err ) - { - throw gcnew GeographicErr( err.what() ); - } -} - -//***************************************************************************** -void UTMUPS::DecodeEPSG(int epsg, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp) -{ - int lzone; - bool lnorthp; - GeographicLib::UTMUPS::DecodeEPSG( epsg, lzone, lnorthp ); - zone = lzone; - northp = lnorthp; -} - -//***************************************************************************** -int UTMUPS::EncodeEPSG(int zone, bool northp) -{ - return GeographicLib::UTMUPS::EncodeEPSG( zone, northp ); -} - -//**************************************************************************** -double UTMUPS::UTMShift() { return GeographicLib::UTMUPS::UTMShift(); } - -//**************************************************************************** -double UTMUPS::EquatorialRadius() { return GeographicLib::UTMUPS::EquatorialRadius(); } - -//**************************************************************************** -double UTMUPS::Flattening() { return GeographicLib::UTMUPS::Flattening(); } diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/UTMUPS.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/UTMUPS.h deleted file mode 100644 index 1d69ff1284401d88e7dc7e6e9928ed5a1c4ba6c3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/UTMUPS.h +++ /dev/null @@ -1,399 +0,0 @@ -#pragma once -/** - * \file NETGeographicLib/UTMUPS.h - * \brief Header for NETGeographicLib::UTMUPS class - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -namespace NETGeographicLib -{ - /** - * \brief .NET wrapper for GeographicLib::UTMUPS. - * - * This class allows .NET applications to access GeographicLib::UTMUPS. - * - * UTM and UPS are defined - * - J. W. Hager, J. F. Behensky, and B. W. Drew, - * - * The Universal Grids: Universal Transverse Mercator (UTM) and Universal - * Polar Stereographic (UPS), Defense Mapping Agency, Technical Manual - * TM8358.2 (1989). - * . - * Section 2-3 defines UTM and section 3-2.4 defines UPS. This document also - * includes approximate algorithms for the computation of the underlying - * transverse Mercator and polar stereographic projections. Here we - * substitute much more accurate algorithms given by - * GeographicLib:TransverseMercator and GeographicLib:PolarStereographic. - * - * In this implementation, the conversions are closed, i.e., output from - * Forward is legal input for Reverse and vice versa. The error is about 5nm - * in each direction. However, the conversion from legal UTM/UPS coordinates - * to geographic coordinates and back might throw an error if the initial - * point is within 5nm of the edge of the allowed range for the UTM/UPS - * coordinates. - * - * The simplest way to guarantee the closed property is to define allowed - * ranges for the eastings and northings for UTM and UPS coordinates. The - * UTM boundaries are the same for all zones. (The only place the - * exceptional nature of the zone boundaries is evident is when converting to - * UTM/UPS coordinates requesting the standard zone.) The MGRS lettering - * scheme imposes natural limits on UTM/UPS coordinates which may be - * converted into MGRS coordinates. For the conversion to/from geographic - * coordinates these ranges have been extended by 100km in order to provide a - * generous overlap between UTM and UPS and between UTM zones. - * - * The NGA software package - * geotrans - * also provides conversions to and from UTM and UPS. Version 2.4.2 (and - * earlier) suffers from some drawbacks: - * - Inconsistent rules are used to determine the whether a particular UTM or - * UPS coordinate is legal. A more systematic approach is taken here. - * - The underlying projections are not very accurately implemented. - * - * C# Example: - * \include example-UTMUPS.cs - * Managed C++ Example: - * \include example-UTMUPS.cpp - * Visual Basic Example: - * \include example-UTMUPS.vb - * - **********************************************************************/ - public ref class UTMUPS - { - private: - // hide the constructor since all members of the class are static. - UTMUPS() {} - public: - /** - * In this class we bring together the UTM and UPS coordinates systems. - * The UTM divides the earth between latitudes −80° and 84° - * into 60 zones numbered 1 thru 60. Zone assign zone number 0 to the UPS - * regions, covering the two poles. Within UTMUPS, non-negative zone - * numbers refer to one of the "physical" zones, 0 for UPS and [1, 60] for - * UTM. Negative "pseudo-zone" numbers are used to select one of the - * physical zones. - **********************************************************************/ - enum class ZoneSpec { - /** - * The smallest pseudo-zone number. - **********************************************************************/ - MINPSEUDOZONE = -4, - /** - * A marker for an undefined or invalid zone. Equivalent to NaN. - **********************************************************************/ - INVALID = -4, - /** - * If a coordinate already include zone information (e.g., it is an MGRS - * coordinate), use that, otherwise apply the UTMUPS::STANDARD rules. - **********************************************************************/ - MATCH = -3, - /** - * Apply the standard rules for UTM zone assigment extending the UTM zone - * to each pole to give a zone number in [1, 60]. For example, use UTM - * zone 38 for longitude in [42°, 48°). The rules include the - * Norway and Svalbard exceptions. - **********************************************************************/ - UTM = -2, - /** - * Apply the standard rules for zone assignment to give a zone number in - * [0, 60]. If the latitude is not in [−80°, 84°), then - * use UTMUPS::UPS = 0, otherwise apply the rules for UTMUPS::UTM. The - * tests on latitudes and longitudes are all closed on the lower end open - * on the upper. Thus for UTM zone 38, latitude is in [−80°, - * 84°) and longitude is in [42°, 48°). - **********************************************************************/ - STANDARD = -1, - /** - * The largest pseudo-zone number. - **********************************************************************/ - MAXPSEUDOZONE = -1, - /** - * The smallest physical zone number. - **********************************************************************/ - MINZONE = 0, - /** - * The zone number used for UPS - **********************************************************************/ - UPS = 0, - /** - * The smallest UTM zone number. - **********************************************************************/ - MINUTMZONE = 1, - /** - * The largest UTM zone number. - **********************************************************************/ - MAXUTMZONE = 60, - /** - * The largest physical zone number. - **********************************************************************/ - MAXZONE = 60, - }; - - /** - * The standard zone. - * - * @param[in] lat latitude (degrees). - * @param[in] lon longitude (degrees). - * @param[in] setzone zone override (use ZoneSpec.STANDARD as default). If - * omitted, use the standard rules for picking the zone. If \e setzone - * is given then use that zone if it is non-negative, otherwise apply the - * rules given in UTMUPS::zonespec. - * @exception GeographicErr if \e setzone is outside the range - * [UTMUPS::MINPSEUDOZONE, UTMUPS::MAXZONE] = [−4, 60]. - * - * This is exact. - **********************************************************************/ - static int StandardZone(double lat, double lon, int setzone); - - /** - * Forward projection, from geographic to UTM/UPS. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] zone the UTM zone (zero means UPS). - * @param[out] northp hemisphere (true means north, false means south). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * @param[in] setzone zone override (use ZoneSpec.STANDARD as default). - * @param[in] mgrslimits if true enforce the stricter MGRS limits on the - * coordinates (default = false). - * @exception GeographicErr if \e lat is not in [−90°, - * 90°]. - * @exception GeographicErr if the resulting \e x or \e y is out of allowed - * range (see Reverse); in this case, these arguments are unchanged. - * - * If \e setzone is omitted, use the standard rules for picking the zone. - * If \e setzone is given then use that zone if it is non-negative, - * otherwise apply the rules given in UTMUPS::zonespec. The accuracy of - * the conversion is about 5nm. - * - * The northing \e y jumps by UTMUPS::UTMShift() when crossing the equator - * in the southerly direction. Sometimes it is useful to remove this - * discontinuity in \e y by extending the "northern" hemisphere using - * UTMUPS::Transfer: - * \code - double lat = -1, lon = 123; - int zone; - bool northp; - double x, y, gamma, k; - GeographicLib::UTMUPS::Forward(lat, lon, zone, northp, x, y, gamma, k); - GeographicLib::UTMUPS::Transfer(zone, northp, x, y, - zone, true, x, y, zone); - northp = true; - \endcode - **********************************************************************/ - static void Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k, - int setzone, bool mgrslimits); - - /** - * Reverse projection, from UTM/UPS to geographic. - * - * @param[in] zone the UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * @param[in] mgrslimits if true enforce the stricter MGRS limits on the - * coordinates (default = false). - * @exception GeographicErr if \e zone, \e x, or \e y is out of allowed - * range; this this case the arguments are unchanged. - * - * The accuracy of the conversion is about 5nm. - * - * UTM eastings are allowed to be in the range [0km, 1000km], northings are - * allowed to be in in [0km, 9600km] for the northern hemisphere and in - * [900km, 10000km] for the southern hemisphere. However UTM northings - * can be continued across the equator. So the actual limits on the - * northings are [-9100km, 9600km] for the "northern" hemisphere and - * [900km, 19600km] for the "southern" hemisphere. - * - * UPS eastings and northings are allowed to be in the range [1200km, - * 2800km] in the northern hemisphere and in [700km, 3100km] in the - * southern hemisphere. - * - * These ranges are 100km larger than allowed for the conversions to MGRS. - * (100km is the maximum extra padding consistent with eastings remaining - * non-negative.) This allows generous overlaps between zones and UTM and - * UPS. If \e mgrslimits = true, then all the ranges are shrunk by 100km - * so that they agree with the stricter MGRS ranges. No checks are - * performed besides these (e.g., to limit the distance outside the - * standard zone boundaries). - **********************************************************************/ - static void Reverse(int zone, bool northp, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - [System::Runtime::InteropServices::Out] double% gamma, - [System::Runtime::InteropServices::Out] double% k, - bool mgrslimits); - - /** - * UTMUPS::Forward without returning convergence and scale. - **********************************************************************/ - static void Forward(double lat, double lon, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp, - [System::Runtime::InteropServices::Out] double% x, - [System::Runtime::InteropServices::Out] double% y, - int setzone, bool mgrslimits ); - - /** - * UTMUPS::Reverse without returning convergence and scale. - **********************************************************************/ - static void Reverse(int zone, bool northp, double x, double y, - [System::Runtime::InteropServices::Out] double% lat, - [System::Runtime::InteropServices::Out] double% lon, - bool mgrslimits); - - /** - * Transfer UTM/UPS coordinated from one zone to another. - * - * @param[in] zonein the UTM zone for \e xin and \e yin (or zero for UPS). - * @param[in] northpin hemisphere for \e xin and \e yin (true means north, - * false means south). - * @param[in] xin easting of point (meters) in \e zonein. - * @param[in] yin northing of point (meters) in \e zonein. - * @param[in] zoneout the requested UTM zone for \e xout and \e yout (or - * zero for UPS). - * @param[in] northpout hemisphere for \e xout output and \e yout. - * @param[out] xout easting of point (meters) in \e zoneout. - * @param[out] yout northing of point (meters) in \e zoneout. - * @param[out] zone the actual UTM zone for \e xout and \e yout (or zero - * for UPS); this equals \e zoneout if \e zoneout ≥ 0. - * @exception GeographicErr if \e zonein is out of range (see below). - * @exception GeographicErr if \e zoneout is out of range (see below). - * @exception GeographicErr if \e xin or \e yin fall outside their allowed - * ranges (see UTMUPS::Reverse). - * @exception GeographicErr if \e xout or \e yout fall outside their - * allowed ranges (see UTMUPS::Reverse). - * - * \e zonein must be in the range [UTMUPS::MINZONE, UTMUPS::MAXZONE] = [0, - * 60] with \e zonein = UTMUPS::UPS, 0, indicating UPS. \e zonein may - * also be UTMUPS::INVALID. - * - * \e zoneout must be in the range [UTMUPS::MINPSEUDOZONE, UTMUPS::MAXZONE] - * = [-4, 60]. If \e zoneout < UTMUPS::MINZONE then the rules give in - * the documentation of UTMUPS::zonespec are applied, and \e zone is set to - * the actual zone used for output. - * - * (\e xout, \e yout) can overlap with (\e xin, \e yin). - **********************************************************************/ - static void Transfer(int zonein, bool northpin, double xin, double yin, - int zoneout, bool northpout, - [System::Runtime::InteropServices::Out] double% xout, - [System::Runtime::InteropServices::Out] double% yout, - [System::Runtime::InteropServices::Out] int% zone); - - /** - * Decode a UTM/UPS zone string. - * - * @param[in] zonestr string representation of zone and hemisphere. - * @param[out] zone the UTM zone (zero means UPS). - * @param[out] northp hemisphere (true means north, false means south). - * @exception GeographicErr if \e zonestr is malformed. - * - * For UTM, \e zonestr has the form of a zone number in the range - * [UTMUPS::MINUTMZONE, UTMUPS::MAXUTMZONE] = [1, 60] followed by a - * hemisphere letter, n or s (or "north" or "south" spelled out). For UPS, - * it consists just of the hemisphere letter (or the spelled out - * hemisphere). The returned value of \e zone is UTMUPS::UPS = 0 for UPS. - * Note well that "38s" indicates the southern hemisphere of zone 38 and - * not latitude band S, 32° ≤ \e lat < 40°. n, 01s, 2n, 38s, - * south, 3north are legal. 0n, 001s, +3n, 61n, 38P are illegal. INV is a - * special value for which the returned value of \e is UTMUPS::INVALID. - **********************************************************************/ - static void DecodeZone(System::String^ zonestr, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp); - - /** - * Encode a UTM/UPS zone string. - * - * @param[in] zone the UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception GeographicErr if \e zone is out of range (see below). - * @exception std::bad_alloc if memoy for the string can't be allocated. - * @return string representation of zone and hemisphere. - * - * \e zone must be in the range [UTMUPS::MINZONE, UTMUPS::MAXZONE] = [0, - * 60] with \e zone = UTMUPS::UPS, 0, indicating UPS (but the resulting - * string does not contain "0"). \e zone may also be UTMUPS::INVALID, in - * which case the returned string is "inv". This reverses - * UTMUPS::DecodeZone. - **********************************************************************/ - static System::String^ EncodeZone(int zone, bool northp, bool abbrev); - - /** - * Decode EPSG. - * - * @param[in] epsg the EPSG code. - * @param[out] zone the UTM zone (zero means UPS). - * @param[out] northp hemisphere (true means north, false means south). - * - * EPSG (European Petroleum Survery Group) codes are a way to refer to many - * different projections. DecodeEPSG decodes those refering to UTM or UPS - * projections for the WGS84 ellipsoid. If the code does not refer to one - * of these projections, \e zone is set to UTMUPS::INVALID. See - * http://spatialreference.org/ref/epsg/ - **********************************************************************/ - static void DecodeEPSG(int epsg, - [System::Runtime::InteropServices::Out] int% zone, - [System::Runtime::InteropServices::Out] bool% northp); - - /** - * Encode zone as EPSG. - * - * @param[in] zone the UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @return EPSG code (or -1 if \e zone is not in the range - * [UTMUPS::MINZONE, UTMUPS::MAXZONE] = [0, 60]) - * - * Convert \e zone and \e northp to the corresponding EPSG (European - * Petroleum Survery Group) codes - **********************************************************************/ - static int EncodeEPSG(int zone, bool northp); - - /** - * @return shift (meters) necessary to align N and S halves of a UTM zone - * (107). - **********************************************************************/ - static double UTMShift(); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the WGS84 ellipsoid (meters). - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - static double EquatorialRadius(); - - /** - * @return \e f the flattening of the WGS84 ellipsoid. - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - static double Flattening(); - ///@} - }; -} // namespace NETGeographicLib diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/stdafx.cpp b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/stdafx.cpp deleted file mode 100644 index 24c11e76878035eaa4a94ab5cb9f766c1e0f81f8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/stdafx.cpp +++ /dev/null @@ -1,5 +0,0 @@ -// stdafx.cpp : source file that includes just the standard includes -// NETGeographic.pch will be the pre-compiled header -// stdafx.obj will contain the pre-compiled type information - -#include "stdafx.h" diff --git a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/stdafx.h b/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/stdafx.h deleted file mode 100644 index 15ab87b79db8ba33999a2aa35c927c0511a73563..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/NETGeographicLib/stdafx.h +++ /dev/null @@ -1,5 +0,0 @@ -// stdafx.h : include file for standard system include files, -// or project specific include files that are used frequently, -// but are changed infrequently - -#pragma once diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.Designer.cs deleted file mode 100644 index 3319b74403fa3a1afa03a3c49c9e7988804f61cd..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.Designer.cs +++ /dev/null @@ -1,193 +0,0 @@ -namespace Projections -{ - partial class AccumPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.label1 = new System.Windows.Forms.Label(); - this.m_inputTextBox = new System.Windows.Forms.TextBox(); - this.label2 = new System.Windows.Forms.Label(); - this.m_accumTtextBox = new System.Windows.Forms.TextBox(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.button3 = new System.Windows.Forms.Button(); - this.button4 = new System.Windows.Forms.Button(); - this.m_equalsCheckBox = new System.Windows.Forms.CheckBox(); - this.m_testTextBox = new System.Windows.Forms.TextBox(); - this.m_lessThanCheckBox = new System.Windows.Forms.CheckBox(); - this.m_greaterTanCheckBox = new System.Windows.Forms.CheckBox(); - this.SuspendLayout(); - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(4, 8); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(31, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Input"; - // - // m_inputTextBox - // - this.m_inputTextBox.Location = new System.Drawing.Point(109, 4); - this.m_inputTextBox.Name = "m_inputTextBox"; - this.m_inputTextBox.Size = new System.Drawing.Size(202, 20); - this.m_inputTextBox.TabIndex = 1; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(4, 35); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(99, 13); - this.label2.TabIndex = 2; - this.label2.Text = "Accumulated Value"; - // - // m_accumTtextBox - // - this.m_accumTtextBox.Location = new System.Drawing.Point(109, 31); - this.m_accumTtextBox.Name = "m_accumTtextBox"; - this.m_accumTtextBox.ReadOnly = true; - this.m_accumTtextBox.Size = new System.Drawing.Size(202, 20); - this.m_accumTtextBox.TabIndex = 3; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(317, 3); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 4; - this.button1.Text = "Add"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnAdd); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(7, 64); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 5; - this.button2.Text = "Reset"; - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnReset); - // - // button3 - // - this.button3.Location = new System.Drawing.Point(318, 30); - this.button3.Name = "button3"; - this.button3.Size = new System.Drawing.Size(75, 23); - this.button3.TabIndex = 6; - this.button3.Text = "Multiply"; - this.button3.UseVisualStyleBackColor = true; - this.button3.Click += new System.EventHandler(this.OnMultiply); - // - // button4 - // - this.button4.Location = new System.Drawing.Point(405, 32); - this.button4.Name = "button4"; - this.button4.Size = new System.Drawing.Size(75, 23); - this.button4.TabIndex = 7; - this.button4.Text = "Test"; - this.button4.UseVisualStyleBackColor = true; - this.button4.Click += new System.EventHandler(this.OnTest); - // - // m_equalsCheckBox - // - this.m_equalsCheckBox.AutoSize = true; - this.m_equalsCheckBox.Location = new System.Drawing.Point(405, 69); - this.m_equalsCheckBox.Name = "m_equalsCheckBox"; - this.m_equalsCheckBox.Size = new System.Drawing.Size(58, 17); - this.m_equalsCheckBox.TabIndex = 8; - this.m_equalsCheckBox.Text = "Equals"; - this.m_equalsCheckBox.UseVisualStyleBackColor = true; - // - // m_testTextBox - // - this.m_testTextBox.Location = new System.Drawing.Point(405, 4); - this.m_testTextBox.Name = "m_testTextBox"; - this.m_testTextBox.Size = new System.Drawing.Size(139, 20); - this.m_testTextBox.TabIndex = 10; - // - // m_lessThanCheckBox - // - this.m_lessThanCheckBox.AutoSize = true; - this.m_lessThanCheckBox.Location = new System.Drawing.Point(405, 93); - this.m_lessThanCheckBox.Name = "m_lessThanCheckBox"; - this.m_lessThanCheckBox.Size = new System.Drawing.Size(76, 17); - this.m_lessThanCheckBox.TabIndex = 11; - this.m_lessThanCheckBox.Text = "Less Than"; - this.m_lessThanCheckBox.UseVisualStyleBackColor = true; - // - // m_greaterTanCheckBox - // - this.m_greaterTanCheckBox.AutoSize = true; - this.m_greaterTanCheckBox.Location = new System.Drawing.Point(405, 117); - this.m_greaterTanCheckBox.Name = "m_greaterTanCheckBox"; - this.m_greaterTanCheckBox.Size = new System.Drawing.Size(86, 17); - this.m_greaterTanCheckBox.TabIndex = 12; - this.m_greaterTanCheckBox.Text = "GreaterThan"; - this.m_greaterTanCheckBox.UseVisualStyleBackColor = true; - // - // AccumPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.m_greaterTanCheckBox); - this.Controls.Add(this.m_lessThanCheckBox); - this.Controls.Add(this.m_testTextBox); - this.Controls.Add(this.m_equalsCheckBox); - this.Controls.Add(this.button4); - this.Controls.Add(this.button3); - this.Controls.Add(this.button2); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_accumTtextBox); - this.Controls.Add(this.label2); - this.Controls.Add(this.m_inputTextBox); - this.Controls.Add(this.label1); - this.Name = "AccumPanel"; - this.Size = new System.Drawing.Size(969, 353); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_inputTextBox; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.TextBox m_accumTtextBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.Button button3; - private System.Windows.Forms.Button button4; - private System.Windows.Forms.CheckBox m_equalsCheckBox; - private System.Windows.Forms.TextBox m_testTextBox; - private System.Windows.Forms.CheckBox m_lessThanCheckBox; - private System.Windows.Forms.CheckBox m_greaterTanCheckBox; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.cs deleted file mode 100644 index 15a93836263e983ace4b091637bfbf603955a0a4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.cs +++ /dev/null @@ -1,84 +0,0 @@ -/** - * \file NETGeographicLib\AccumPanel.cs - * \brief NETGeographicLib.Accumulator example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class AccumPanel : UserControl - { - Accumulator m_accum = new Accumulator(); - - public AccumPanel() - { - InitializeComponent(); - OnReset(null, null); - - } - - private void OnAdd(object sender, EventArgs e) - { - try - { - double a = Double.Parse(m_inputTextBox.Text); - m_accum.Sum(a); - m_accumTtextBox.Text = m_accum.Result().ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnMultiply(object sender, EventArgs e) - { - try - { - int a = Int32.Parse(m_inputTextBox.Text); - m_accum.Multiply(a); - m_accumTtextBox.Text = m_accum.Result().ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - - } - - private void OnReset(object sender, EventArgs e) - { - m_accum.Assign(0.0); - m_accumTtextBox.Text = m_accum.Result().ToString(); - } - - private void OnTest(object sender, EventArgs e) - { - try - { - double test = Double.Parse(m_testTextBox.Text); - m_equalsCheckBox.Checked = m_accum == test; - m_lessThanCheckBox.Checked = m_accum < test; - m_greaterTanCheckBox.Checked = m_accum > test; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.resx deleted file mode 100644 index ed0aef9346c39ab245aad1ccc01439f98d437d7e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/AccumPanel.resx +++ /dev/null @@ -1,120 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.Designer.cs deleted file mode 100644 index f3e1e44fb516d26ce0c4442b02bea16970b2d37a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.Designer.cs +++ /dev/null @@ -1,551 +0,0 @@ -namespace Projections -{ - partial class AlbersPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.groupBox1 = new System.Windows.Forms.GroupBox(); - this.m_setButton = new System.Windows.Forms.Button(); - this.m_flatteningTextBox = new System.Windows.Forms.TextBox(); - this.label1 = new System.Windows.Forms.Label(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.m_originLatitudeTextBox = new System.Windows.Forms.TextBox(); - this.label4 = new System.Windows.Forms.Label(); - this.m_centralScaleTextBox = new System.Windows.Forms.TextBox(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.m_constructorComboBox = new System.Windows.Forms.ComboBox(); - this.m_azimuthalScaleTextBox = new System.Windows.Forms.TextBox(); - this.m_functionComboBox = new System.Windows.Forms.ComboBox(); - this.m_convertButton = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.m_scaleLabel = new System.Windows.Forms.Label(); - this.m_stdLatLabel = new System.Windows.Forms.Label(); - this.m_stdLat2Label = new System.Windows.Forms.Label(); - this.label12 = new System.Windows.Forms.Label(); - this.m_sinLat2Label = new System.Windows.Forms.Label(); - this.m_cosLat2Label = new System.Windows.Forms.Label(); - this.m_KTextBox = new System.Windows.Forms.TextBox(); - this.m_stdLat1TextBox = new System.Windows.Forms.TextBox(); - this.m_stdLat2TextBox = new System.Windows.Forms.TextBox(); - this.m_sinLat2TextBox = new System.Windows.Forms.TextBox(); - this.m_cosLat2TextBox = new System.Windows.Forms.TextBox(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.m_lon0TextBox = new System.Windows.Forms.TextBox(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_xTextBox = new System.Windows.Forms.TextBox(); - this.m_yTextBox = new System.Windows.Forms.TextBox(); - this.m_gammaTextBox = new System.Windows.Forms.TextBox(); - this.label13 = new System.Windows.Forms.Label(); - this.label14 = new System.Windows.Forms.Label(); - this.m_projectionComboBox = new System.Windows.Forms.ComboBox(); - this.groupBox1.SuspendLayout(); - this.SuspendLayout(); - // - // groupBox1 - // - this.groupBox1.Controls.Add(this.m_setButton); - this.groupBox1.Controls.Add(this.m_flatteningTextBox); - this.groupBox1.Controls.Add(this.label1); - this.groupBox1.Controls.Add(this.m_equatorialRadiusTextBox); - this.groupBox1.Controls.Add(this.label2); - this.groupBox1.Location = new System.Drawing.Point(3, 3); - this.groupBox1.Name = "groupBox1"; - this.groupBox1.Size = new System.Drawing.Size(146, 140); - this.groupBox1.TabIndex = 6; - this.groupBox1.TabStop = false; - this.groupBox1.Text = "Ellipsoid Parameters"; - // - // m_setButton - // - this.m_setButton.Location = new System.Drawing.Point(12, 109); - this.m_setButton.Name = "m_setButton"; - this.m_setButton.Size = new System.Drawing.Size(75, 23); - this.m_setButton.TabIndex = 4; - this.m_setButton.Text = "Set"; - this.m_toolTip.SetToolTip(this.m_setButton, "Set constructor inputs"); - this.m_setButton.UseVisualStyleBackColor = true; - this.m_setButton.Click += new System.EventHandler(this.OnSet); - // - // m_flatteningTextBox - // - this.m_flatteningTextBox.Location = new System.Drawing.Point(12, 83); - this.m_flatteningTextBox.Name = "m_flatteningTextBox"; - this.m_flatteningTextBox.Size = new System.Drawing.Size(125, 20); - this.m_flatteningTextBox.TabIndex = 3; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(12, 25); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(109, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Equatorial Radius (meters)"; - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(12, 42); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(125, 20); - this.m_equatorialRadiusTextBox.TabIndex = 2; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(12, 66); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(53, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Flattening"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(165, 11); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(122, 13); - this.label3.TabIndex = 7; - this.label3.Text = "Origin Latitude (degrees)"; - // - // m_originLatitudeTextBox - // - this.m_originLatitudeTextBox.Location = new System.Drawing.Point(319, 7); - this.m_originLatitudeTextBox.Name = "m_originLatitudeTextBox"; - this.m_originLatitudeTextBox.ReadOnly = true; - this.m_originLatitudeTextBox.Size = new System.Drawing.Size(115, 20); - this.m_originLatitudeTextBox.TabIndex = 8; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(165, 38); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(70, 13); - this.label4.TabIndex = 9; - this.label4.Text = "Central Scale"; - // - // m_centralScaleTextBox - // - this.m_centralScaleTextBox.Location = new System.Drawing.Point(319, 34); - this.m_centralScaleTextBox.Name = "m_centralScaleTextBox"; - this.m_centralScaleTextBox.ReadOnly = true; - this.m_centralScaleTextBox.Size = new System.Drawing.Size(115, 20); - this.m_centralScaleTextBox.TabIndex = 10; - // - // m_constructorComboBox - // - this.m_constructorComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_constructorComboBox.FormattingEnabled = true; - this.m_constructorComboBox.Location = new System.Drawing.Point(10, 170); - this.m_constructorComboBox.Name = "m_constructorComboBox"; - this.m_constructorComboBox.Size = new System.Drawing.Size(139, 21); - this.m_constructorComboBox.TabIndex = 18; - this.m_toolTip.SetToolTip(this.m_constructorComboBox, "Select constructor type"); - this.m_constructorComboBox.SelectedIndexChanged += new System.EventHandler(this.OnConstructorChanged); - // - // m_azimuthalScaleTextBox - // - this.m_azimuthalScaleTextBox.Location = new System.Drawing.Point(580, 169); - this.m_azimuthalScaleTextBox.Name = "m_azimuthalScaleTextBox"; - this.m_azimuthalScaleTextBox.ReadOnly = true; - this.m_azimuthalScaleTextBox.Size = new System.Drawing.Size(109, 20); - this.m_azimuthalScaleTextBox.TabIndex = 36; - this.m_toolTip.SetToolTip(this.m_azimuthalScaleTextBox, "Verifies interfaces"); - this.m_azimuthalScaleTextBox.Click += new System.EventHandler(this.OnValidate); - // - // m_functionComboBox - // - this.m_functionComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_functionComboBox.FormattingEnabled = true; - this.m_functionComboBox.Items.AddRange(new object[] { - "Forward", - "Reverse"}); - this.m_functionComboBox.Location = new System.Drawing.Point(697, 34); - this.m_functionComboBox.Name = "m_functionComboBox"; - this.m_functionComboBox.Size = new System.Drawing.Size(75, 21); - this.m_functionComboBox.TabIndex = 38; - this.m_toolTip.SetToolTip(this.m_functionComboBox, "Select function"); - this.m_functionComboBox.SelectedIndexChanged += new System.EventHandler(this.OnFunction); - // - // m_convertButton - // - this.m_convertButton.Location = new System.Drawing.Point(697, 114); - this.m_convertButton.Name = "m_convertButton"; - this.m_convertButton.Size = new System.Drawing.Size(75, 23); - this.m_convertButton.TabIndex = 39; - this.m_convertButton.Text = "Convert"; - this.m_toolTip.SetToolTip(this.m_convertButton, "Executes the selected Function using the selected Projection"); - this.m_convertButton.UseVisualStyleBackColor = true; - this.m_convertButton.Click += new System.EventHandler(this.OnConvert); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(700, 168); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 40; - this.button2.Text = "Validate"; - this.m_toolTip.SetToolTip(this.button2, "Verifies interfaces"); - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnValidate); - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(443, 38); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(92, 13); - this.label5.TabIndex = 11; - this.label5.Text = "Latitude (degrees)"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(443, 65); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(101, 13); - this.label6.TabIndex = 12; - this.label6.Text = "Longitude (degrees)"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(443, 92); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(54, 13); - this.label7.TabIndex = 13; - this.label7.Text = "X (meters)"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(443, 119); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(54, 13); - this.label8.TabIndex = 14; - this.label8.Text = "Y (meters)"; - // - // m_scaleLabel - // - this.m_scaleLabel.AutoSize = true; - this.m_scaleLabel.Location = new System.Drawing.Point(165, 65); - this.m_scaleLabel.Name = "m_scaleLabel"; - this.m_scaleLabel.Size = new System.Drawing.Size(50, 13); - this.m_scaleLabel.TabIndex = 15; - this.m_scaleLabel.Text = "Scale (K)"; - // - // m_stdLatLabel - // - this.m_stdLatLabel.AutoSize = true; - this.m_stdLatLabel.Location = new System.Drawing.Point(165, 92); - this.m_stdLatLabel.Name = "m_stdLatLabel"; - this.m_stdLatLabel.Size = new System.Drawing.Size(147, 13); - this.m_stdLatLabel.TabIndex = 16; - this.m_stdLatLabel.Text = "Standard Latitude 1 (degrees)"; - // - // m_stdLat2Label - // - this.m_stdLat2Label.AutoSize = true; - this.m_stdLat2Label.Location = new System.Drawing.Point(165, 119); - this.m_stdLat2Label.Name = "m_stdLat2Label"; - this.m_stdLat2Label.Size = new System.Drawing.Size(147, 13); - this.m_stdLat2Label.TabIndex = 17; - this.m_stdLat2Label.Text = "Standard Latitude 2 (degrees)"; - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(9, 150); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(61, 13); - this.label12.TabIndex = 19; - this.label12.Text = "Constructor"; - // - // m_sinLat2Label - // - this.m_sinLat2Label.AutoSize = true; - this.m_sinLat2Label.Location = new System.Drawing.Point(165, 146); - this.m_sinLat2Label.Name = "m_sinLat2Label"; - this.m_sinLat2Label.Size = new System.Drawing.Size(49, 13); - this.m_sinLat2Label.TabIndex = 20; - this.m_sinLat2Label.Text = "Sin(Lat2)"; - // - // m_cosLat2Label - // - this.m_cosLat2Label.AutoSize = true; - this.m_cosLat2Label.Location = new System.Drawing.Point(165, 173); - this.m_cosLat2Label.Name = "m_cosLat2Label"; - this.m_cosLat2Label.Size = new System.Drawing.Size(52, 13); - this.m_cosLat2Label.TabIndex = 21; - this.m_cosLat2Label.Text = "Cos(Lat2)"; - // - // m_KTextBox - // - this.m_KTextBox.Location = new System.Drawing.Point(319, 61); - this.m_KTextBox.Name = "m_KTextBox"; - this.m_KTextBox.Size = new System.Drawing.Size(115, 20); - this.m_KTextBox.TabIndex = 22; - // - // m_stdLat1TextBox - // - this.m_stdLat1TextBox.Location = new System.Drawing.Point(319, 88); - this.m_stdLat1TextBox.Name = "m_stdLat1TextBox"; - this.m_stdLat1TextBox.Size = new System.Drawing.Size(115, 20); - this.m_stdLat1TextBox.TabIndex = 23; - // - // m_stdLat2TextBox - // - this.m_stdLat2TextBox.Location = new System.Drawing.Point(319, 115); - this.m_stdLat2TextBox.Name = "m_stdLat2TextBox"; - this.m_stdLat2TextBox.Size = new System.Drawing.Size(115, 20); - this.m_stdLat2TextBox.TabIndex = 24; - // - // m_sinLat2TextBox - // - this.m_sinLat2TextBox.Location = new System.Drawing.Point(319, 142); - this.m_sinLat2TextBox.Name = "m_sinLat2TextBox"; - this.m_sinLat2TextBox.Size = new System.Drawing.Size(115, 20); - this.m_sinLat2TextBox.TabIndex = 25; - // - // m_cosLat2TextBox - // - this.m_cosLat2TextBox.Location = new System.Drawing.Point(319, 169); - this.m_cosLat2TextBox.Name = "m_cosLat2TextBox"; - this.m_cosLat2TextBox.Size = new System.Drawing.Size(115, 20); - this.m_cosLat2TextBox.TabIndex = 26; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(443, 11); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(131, 13); - this.label9.TabIndex = 27; - this.label9.Text = "Origin Longitude (degrees)"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(443, 146); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(90, 13); - this.label10.TabIndex = 28; - this.label10.Text = "Gamma (degrees)"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(443, 173); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(82, 13); - this.label11.TabIndex = 29; - this.label11.Text = "Azimuthal Scale"; - // - // m_lon0TextBox - // - this.m_lon0TextBox.Location = new System.Drawing.Point(580, 7); - this.m_lon0TextBox.Name = "m_lon0TextBox"; - this.m_lon0TextBox.Size = new System.Drawing.Size(109, 20); - this.m_lon0TextBox.TabIndex = 30; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(580, 34); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(109, 20); - this.m_latitudeTextBox.TabIndex = 31; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(580, 61); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(109, 20); - this.m_longitudeTextBox.TabIndex = 32; - // - // m_xTextBox - // - this.m_xTextBox.Location = new System.Drawing.Point(580, 88); - this.m_xTextBox.Name = "m_xTextBox"; - this.m_xTextBox.Size = new System.Drawing.Size(109, 20); - this.m_xTextBox.TabIndex = 33; - // - // m_yTextBox - // - this.m_yTextBox.Location = new System.Drawing.Point(580, 115); - this.m_yTextBox.Name = "m_yTextBox"; - this.m_yTextBox.Size = new System.Drawing.Size(109, 20); - this.m_yTextBox.TabIndex = 34; - // - // m_gammaTextBox - // - this.m_gammaTextBox.Location = new System.Drawing.Point(580, 142); - this.m_gammaTextBox.Name = "m_gammaTextBox"; - this.m_gammaTextBox.ReadOnly = true; - this.m_gammaTextBox.Size = new System.Drawing.Size(109, 20); - this.m_gammaTextBox.TabIndex = 35; - // - // label13 - // - this.label13.AutoSize = true; - this.label13.Location = new System.Drawing.Point(697, 11); - this.label13.Name = "label13"; - this.label13.Size = new System.Drawing.Size(48, 13); - this.label13.TabIndex = 37; - this.label13.Text = "Function"; - // - // label14 - // - this.label14.AutoSize = true; - this.label14.Location = new System.Drawing.Point(697, 65); - this.label14.Name = "label14"; - this.label14.Size = new System.Drawing.Size(54, 13); - this.label14.TabIndex = 41; - this.label14.Text = "Projection"; - // - // m_projectionComboBox - // - this.m_projectionComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_projectionComboBox.FormattingEnabled = true; - this.m_projectionComboBox.Items.AddRange(new object[] { - "Albers Equal Area", - "Lambert Conformal Conic", - "Transverse Mercator", - "Transverse Mercator Exact"}); - this.m_projectionComboBox.Location = new System.Drawing.Point(697, 88); - this.m_projectionComboBox.Name = "m_projectionComboBox"; - this.m_projectionComboBox.Size = new System.Drawing.Size(134, 21); - this.m_projectionComboBox.TabIndex = 42; - this.m_toolTip.SetToolTip(this.m_projectionComboBox, "Projection Type"); - this.m_projectionComboBox.SelectedIndexChanged += new System.EventHandler(this.OnProjection); - // - // AlbersPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.m_projectionComboBox); - this.Controls.Add(this.label14); - this.Controls.Add(this.button2); - this.Controls.Add(this.m_convertButton); - this.Controls.Add(this.m_functionComboBox); - this.Controls.Add(this.label13); - this.Controls.Add(this.m_azimuthalScaleTextBox); - this.Controls.Add(this.m_gammaTextBox); - this.Controls.Add(this.m_yTextBox); - this.Controls.Add(this.m_xTextBox); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.m_lon0TextBox); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.m_cosLat2TextBox); - this.Controls.Add(this.m_sinLat2TextBox); - this.Controls.Add(this.m_stdLat2TextBox); - this.Controls.Add(this.m_stdLat1TextBox); - this.Controls.Add(this.m_KTextBox); - this.Controls.Add(this.m_cosLat2Label); - this.Controls.Add(this.m_sinLat2Label); - this.Controls.Add(this.label12); - this.Controls.Add(this.m_constructorComboBox); - this.Controls.Add(this.m_stdLat2Label); - this.Controls.Add(this.m_stdLatLabel); - this.Controls.Add(this.m_scaleLabel); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.m_centralScaleTextBox); - this.Controls.Add(this.label4); - this.Controls.Add(this.m_originLatitudeTextBox); - this.Controls.Add(this.label3); - this.Controls.Add(this.groupBox1); - this.Name = "AlbersPanel"; - this.Size = new System.Drawing.Size(851, 248); - this.groupBox1.ResumeLayout(false); - this.groupBox1.PerformLayout(); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.GroupBox groupBox1; - private System.Windows.Forms.Button m_setButton; - private System.Windows.Forms.TextBox m_flatteningTextBox; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.TextBox m_originLatitudeTextBox; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.TextBox m_centralScaleTextBox; - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label m_scaleLabel; - private System.Windows.Forms.Label m_stdLatLabel; - private System.Windows.Forms.Label m_stdLat2Label; - private System.Windows.Forms.ComboBox m_constructorComboBox; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.Label m_sinLat2Label; - private System.Windows.Forms.Label m_cosLat2Label; - private System.Windows.Forms.TextBox m_KTextBox; - private System.Windows.Forms.TextBox m_stdLat1TextBox; - private System.Windows.Forms.TextBox m_stdLat2TextBox; - private System.Windows.Forms.TextBox m_sinLat2TextBox; - private System.Windows.Forms.TextBox m_cosLat2TextBox; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.TextBox m_lon0TextBox; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.TextBox m_xTextBox; - private System.Windows.Forms.TextBox m_yTextBox; - private System.Windows.Forms.TextBox m_gammaTextBox; - private System.Windows.Forms.TextBox m_azimuthalScaleTextBox; - private System.Windows.Forms.Label label13; - private System.Windows.Forms.ComboBox m_functionComboBox; - private System.Windows.Forms.Button m_convertButton; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.Label label14; - private System.Windows.Forms.ComboBox m_projectionComboBox; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.cs deleted file mode 100644 index 4cb82e2b95dc775dcf859a4ebbb75262da545b5f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.cs +++ /dev/null @@ -1,570 +0,0 @@ -/** - * \file NETGeographicLib\AlbersPanel.cs - * \brief Example of various projections. - * - * NETGeographicLib.AlbersEqualArea, - * NETGeographicLib.LambertConformalConic, - * NETGeographicLib.TransverseMercator, - * and NETGeographicLib.TransverseMercatorExact example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class AlbersPanel : UserControl - { - enum ProjectionTypes - { - AlbersEqualArea = 0, - LambertConformalConic = 1, - TransverseMercator = 2, - TransverseMercatorExact = 3 - } - ProjectionTypes m_projection; - AlbersEqualArea m_albers = null; - LambertConformalConic m_lambert = null; - TransverseMercator m_trans = null; - TransverseMercatorExact m_transExact = null; - - public AlbersPanel() - { - InitializeComponent(); - m_projectionComboBox.SelectedIndex = 0; // this calls OnProjection and sets it to an AlbersEqualArea - m_constructorComboBox.SelectedIndex = 3; // this calls OnConstructorChanged - m_majorRadiusTextBox.Text = m_albers.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = m_albers.Flattening.ToString(); - m_centralScaleTextBox.Text = m_albers.CentralScale.ToString(); - m_originLatitudeTextBox.Text = m_albers.OriginLatitude.ToString(); - m_functionComboBox.SelectedIndex = 0; // this calls OnFunction - } - - private void OnConstructorChanged(object sender, EventArgs e) - { - try - { - if (m_projectionComboBox.SelectedIndex > 1) - { - m_originLatitudeTextBox.ReadOnly = true; - m_originLatitudeTextBox.Text = "N/A"; - if (m_constructorComboBox.SelectedIndex == 0) - { - m_convertButton.Enabled = true; - m_setButton.Enabled = false; - m_majorRadiusTextBox.ReadOnly = true; - m_flatteningTextBox.ReadOnly = true; - m_scaleLabel.Hide(); - m_KTextBox.Hide(); - m_stdLatLabel.Hide(); - m_stdLat1TextBox.Hide(); - m_stdLat2Label.Hide(); - m_stdLat2TextBox.Hide(); - m_sinLat2Label.Hide(); - m_sinLat2TextBox.Hide(); - m_cosLat2Label.Hide(); - m_cosLat2TextBox.Hide(); - if (m_projection == ProjectionTypes.TransverseMercator) - { - m_trans = new TransverseMercator(); - m_centralScaleTextBox.Text = m_trans.CentralScale.ToString(); - } - else - { - m_transExact = new TransverseMercatorExact(); - m_centralScaleTextBox.Text = m_transExact.CentralScale.ToString(); - } - } - else - { - m_convertButton.Enabled = false; - m_setButton.Enabled = true; - m_majorRadiusTextBox.ReadOnly = false; - m_flatteningTextBox.ReadOnly = false; - m_scaleLabel.Show(); - m_KTextBox.Show(); - m_stdLatLabel.Hide(); - m_stdLat1TextBox.Hide(); - m_stdLat2Label.Hide(); - m_stdLat2TextBox.Hide(); - m_sinLat2Label.Hide(); - m_sinLat2TextBox.Hide(); - m_cosLat2Label.Hide(); - m_cosLat2TextBox.Hide(); - } - } - else - { - m_originLatitudeTextBox.ReadOnly = false; - switch (m_constructorComboBox.SelectedIndex) - { - case 0: - m_convertButton.Enabled = false; - m_setButton.Enabled = true; - m_majorRadiusTextBox.ReadOnly = false; - m_flatteningTextBox.ReadOnly = false; - m_scaleLabel.Show(); - m_KTextBox.Show(); - m_stdLatLabel.Show(); - m_stdLatLabel.Text = "Standard Latitude (degrees)"; - m_stdLat1TextBox.Show(); - m_stdLat2Label.Hide(); - m_stdLat2TextBox.Hide(); - m_sinLat2Label.Hide(); - m_sinLat2TextBox.Hide(); - m_cosLat2Label.Hide(); - m_cosLat2TextBox.Hide(); - break; - case 1: - m_convertButton.Enabled = false; - m_setButton.Enabled = true; - m_majorRadiusTextBox.ReadOnly = false; - m_flatteningTextBox.ReadOnly = false; - m_scaleLabel.Show(); - m_KTextBox.Show(); - m_stdLatLabel.Show(); - m_stdLatLabel.Text = "Standard Latitude 1 (degrees)"; - m_stdLat1TextBox.Show(); - m_stdLat2Label.Text = "Standard Latitude 2 (degrees)"; - m_stdLat2Label.Show(); - m_stdLat2TextBox.Show(); - m_sinLat2Label.Hide(); - m_sinLat2TextBox.Hide(); - m_cosLat2Label.Hide(); - m_cosLat2TextBox.Hide(); - break; - case 2: - m_convertButton.Enabled = false; - m_setButton.Enabled = true; - m_majorRadiusTextBox.ReadOnly = false; - m_flatteningTextBox.ReadOnly = false; - m_scaleLabel.Show(); - m_KTextBox.Show(); - m_stdLatLabel.Show(); - m_stdLatLabel.Text = "Sin(Lat1)"; - m_stdLat1TextBox.Show(); - m_stdLat2Label.Text = "Cos(Lat1)"; - m_stdLat2Label.Show(); - m_stdLat2TextBox.Show(); - m_sinLat2Label.Show(); - m_sinLat2TextBox.Show(); - m_cosLat2Label.Show(); - m_cosLat2TextBox.Show(); - break; - default: - m_convertButton.Enabled = true; - m_setButton.Enabled = false; - m_majorRadiusTextBox.ReadOnly = true; - m_flatteningTextBox.ReadOnly = true; - m_scaleLabel.Hide(); - m_KTextBox.Hide(); - m_stdLatLabel.Hide(); - m_stdLat1TextBox.Hide(); - m_stdLat2Label.Hide(); - m_stdLat2TextBox.Hide(); - m_sinLat2Label.Hide(); - m_sinLat2TextBox.Hide(); - m_cosLat2Label.Hide(); - m_cosLat2TextBox.Hide(); - break; - } - - if (m_projection == ProjectionTypes.AlbersEqualArea) - AlbersConstructorChanged(); - } - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void AlbersConstructorChanged() - { - switch (m_constructorComboBox.SelectedIndex) - { - case 3: - m_albers = new AlbersEqualArea(AlbersEqualArea.StandardTypes.CylindricalEqualArea); - break; - case 4: - m_albers = new AlbersEqualArea(AlbersEqualArea.StandardTypes.AzimuthalEqualAreaNorth); - break; - case 5: - m_albers = new AlbersEqualArea(AlbersEqualArea.StandardTypes.AzimuthalEqualAreaSouth); - break; - default: - break; - } - - if (m_constructorComboBox.SelectedIndex > 2) - { - m_majorRadiusTextBox.Text = m_albers.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = m_albers.Flattening.ToString(); - m_centralScaleTextBox.Text = m_albers.CentralScale.ToString(); - m_originLatitudeTextBox.Text = m_albers.OriginLatitude.ToString(); - } - } - - private void OnSet(object sender, EventArgs e) - { - try - { - switch (m_projection) - { - case ProjectionTypes.AlbersEqualArea: - SetAlbers(); - break; - case ProjectionTypes.LambertConformalConic: - SetLambert(); - break; - case ProjectionTypes.TransverseMercator: - SetTransverse(); - break; - case ProjectionTypes.TransverseMercatorExact: - SetTransverseExact(); - break; - } - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - m_convertButton.Enabled = true; - } - - private void SetAlbers() - { - double s2, s3, s4; - double a = Double.Parse(m_majorRadiusTextBox.Text); - double f = Double.Parse(m_flatteningTextBox.Text); - double k = Double.Parse(m_KTextBox.Text); - double s1 = Double.Parse(m_stdLat1TextBox.Text); - switch (m_constructorComboBox.SelectedIndex) - { - case 0: - m_albers = new AlbersEqualArea(a, f, s1, k); - break; - case 1: - s2 = Double.Parse(m_stdLat2TextBox.Text); - m_albers = new AlbersEqualArea(a, f, s1, s2, k); - break; - case 2: - s2 = Double.Parse(m_stdLat2TextBox.Text); - s3 = Double.Parse(m_sinLat2TextBox.Text); - s4 = Double.Parse(m_cosLat2TextBox.Text); - m_albers = new AlbersEqualArea(a, f, s1, s2, s3, s4, k); - break; - default: - break; - } - m_centralScaleTextBox.Text = m_albers.CentralScale.ToString(); - m_originLatitudeTextBox.Text = m_albers.OriginLatitude.ToString(); - } - - private void SetLambert() - { - double s2, s3, s4; - double a = Double.Parse(m_majorRadiusTextBox.Text); - double f = Double.Parse(m_flatteningTextBox.Text); - double k = Double.Parse(m_KTextBox.Text); - double s1 = Double.Parse(m_stdLat1TextBox.Text); - switch (m_constructorComboBox.SelectedIndex) - { - case 0: - m_lambert = new LambertConformalConic(a, f, s1, k); - break; - case 1: - s2 = Double.Parse(m_stdLat2TextBox.Text); - m_lambert = new LambertConformalConic(a, f, s1, s2, k); - break; - case 2: - s2 = Double.Parse(m_stdLat2TextBox.Text); - s3 = Double.Parse(m_sinLat2TextBox.Text); - s4 = Double.Parse(m_cosLat2TextBox.Text); - m_lambert = new LambertConformalConic(a, f, s1, s2, s3, s4, k); - break; - default: - break; - } - m_centralScaleTextBox.Text = m_lambert.CentralScale.ToString(); - m_originLatitudeTextBox.Text = m_lambert.OriginLatitude.ToString(); - } - - private void SetTransverse() - { - switch (m_constructorComboBox.SelectedIndex) - { - case 1: - double a = Double.Parse(m_majorRadiusTextBox.Text); - double f = Double.Parse(m_flatteningTextBox.Text); - double k = Double.Parse(m_KTextBox.Text); - m_trans = new TransverseMercator(a, f, k); - break; - default: - break; - } - m_centralScaleTextBox.Text = m_trans.CentralScale.ToString(); - } - - private void SetTransverseExact() - { - switch (m_constructorComboBox.SelectedIndex) - { - case 1: - double a = Double.Parse(m_majorRadiusTextBox.Text); - double f = Double.Parse(m_flatteningTextBox.Text); - double k = Double.Parse(m_KTextBox.Text); - m_transExact = new TransverseMercatorExact(a, f, k, false); - break; - default: - break; - } - m_centralScaleTextBox.Text = m_transExact.CentralScale.ToString(); - } - - private void OnFunction(object sender, EventArgs e) - { - switch (m_functionComboBox.SelectedIndex) - { - case 0: - m_latitudeTextBox.ReadOnly = m_longitudeTextBox.ReadOnly = false; - m_xTextBox.ReadOnly = m_yTextBox.ReadOnly = true; - break; - case 1: - m_latitudeTextBox.ReadOnly = m_longitudeTextBox.ReadOnly = true; - m_xTextBox.ReadOnly = m_yTextBox.ReadOnly = false; - break; - } - } - - private void OnConvert(object sender, EventArgs e) - { - try - { - switch (m_projection) - { - case ProjectionTypes.AlbersEqualArea: - ConvertAlbers(); - break; - case ProjectionTypes.LambertConformalConic: - ConvertLambert(); - break; - case ProjectionTypes.TransverseMercator: - ConvertTransverse(); - break; - case ProjectionTypes.TransverseMercatorExact: - ConvertTransverseExact(); - break; - } - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void ConvertAlbers() - { - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, gamma = 0.0, k = 0.0; - double lon0 = Double.Parse(m_lon0TextBox.Text); - switch (m_functionComboBox.SelectedIndex) - { - case 0: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - m_albers.Forward(lon0, lat, lon, out x, out y, out gamma, out k); - m_xTextBox.Text = x.ToString(); - m_yTextBox.Text = y.ToString(); - break; - case 1: - x = Double.Parse(m_xTextBox.Text); - y = Double.Parse(m_yTextBox.Text); - m_albers.Reverse(lon0, x, y, out lat, out lon, out gamma, out k); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - break; - } - m_gammaTextBox.Text = gamma.ToString(); - m_azimuthalScaleTextBox.Text = k.ToString(); - } - - private void ConvertLambert() - { - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, gamma = 0.0, k = 0.0; - double lon0 = Double.Parse(m_lon0TextBox.Text); - switch (m_functionComboBox.SelectedIndex) - { - case 0: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - m_lambert.Forward(lon0, lat, lon, out x, out y, out gamma, out k); - m_xTextBox.Text = x.ToString(); - m_yTextBox.Text = y.ToString(); - break; - case 1: - x = Double.Parse(m_xTextBox.Text); - y = Double.Parse(m_yTextBox.Text); - m_lambert.Reverse(lon0, x, y, out lat, out lon, out gamma, out k); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - break; - } - m_gammaTextBox.Text = gamma.ToString(); - m_azimuthalScaleTextBox.Text = k.ToString(); - } - - private void ConvertTransverse() - { - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, gamma = 0.0, k = 0.0; - double lon0 = Double.Parse(m_lon0TextBox.Text); - switch (m_functionComboBox.SelectedIndex) - { - case 0: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - m_trans.Forward(lon0, lat, lon, out x, out y, out gamma, out k); - m_xTextBox.Text = x.ToString(); - m_yTextBox.Text = y.ToString(); - break; - case 1: - x = Double.Parse(m_xTextBox.Text); - y = Double.Parse(m_yTextBox.Text); - m_trans.Reverse(lon0, x, y, out lat, out lon, out gamma, out k); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - break; - } - m_gammaTextBox.Text = gamma.ToString(); - m_azimuthalScaleTextBox.Text = k.ToString(); - } - - private void ConvertTransverseExact() - { - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, gamma = 0.0, k = 0.0; - double lon0 = Double.Parse(m_lon0TextBox.Text); - switch (m_functionComboBox.SelectedIndex) - { - case 0: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - m_transExact.Forward(lon0, lat, lon, out x, out y, out gamma, out k); - m_xTextBox.Text = x.ToString(); - m_yTextBox.Text = y.ToString(); - break; - case 1: - x = Double.Parse(m_xTextBox.Text); - y = Double.Parse(m_yTextBox.Text); - m_transExact.Reverse(lon0, x, y, out lat, out lon, out gamma, out k); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - break; - } - m_gammaTextBox.Text = gamma.ToString(); - m_azimuthalScaleTextBox.Text = k.ToString(); - } - - private void OnProjection(object sender, EventArgs e) - { - m_projection = (ProjectionTypes)m_projectionComboBox.SelectedIndex; - int save = m_constructorComboBox.SelectedIndex; - m_constructorComboBox.Items.Clear(); - if (m_projectionComboBox.SelectedIndex > 1) // TransverseMercator or TransverseMercatorExact - { - m_constructorComboBox.Items.Add("Default"); - m_constructorComboBox.Items.Add("Constructor #1"); - } - else - { - m_constructorComboBox.Items.Add("Constructor #1"); - m_constructorComboBox.Items.Add("Constructor #2"); - m_constructorComboBox.Items.Add("Constructor #3"); - if (m_projection == ProjectionTypes.AlbersEqualArea) - { - m_constructorComboBox.Items.Add("CylindricalEqualArea"); - m_constructorComboBox.Items.Add("AzimuthalEqualAreaNorth"); - m_constructorComboBox.Items.Add("AzimuthalEqualAreaSouth"); - } - } - // calls OnConstructor - m_constructorComboBox.SelectedIndex = m_constructorComboBox.Items.Count > save ? save : 0; - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - const double DEG_TO_RAD = 3.1415926535897932384626433832795 / 180.0; - AlbersEqualArea a = new AlbersEqualArea(AlbersEqualArea.StandardTypes.AzimuthalEqualAreaNorth); - a = new AlbersEqualArea(AlbersEqualArea.StandardTypes.AzimuthalEqualAreaSouth); - double radius = a.EquatorialRadius; - double f = a.Flattening; - a = new AlbersEqualArea(radius, f, 60.0, 1.0); - a = new AlbersEqualArea(radius, f, 60.0, 70.0, 1.0); - a = new AlbersEqualArea(radius, f, Math.Sin(88.0 * DEG_TO_RAD), Math.Cos(88.0 * DEG_TO_RAD), - Math.Sin(89.0*DEG_TO_RAD), Math.Cos(89.0*DEG_TO_RAD), 1.0); - a = new AlbersEqualArea(AlbersEqualArea.StandardTypes.CylindricalEqualArea); - double lon0 = 0.0, lat = 32.0, lon = -86.0, x, y, gamma, k, x1, y1; - a.Forward(lon0, lat, lon, out x, out y, out gamma, out k); - a.Forward(lon0, lat, lon, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in AlbersEqualArea.Forward"); - a.Reverse(lon0, x, y, out lat, out lon, out gamma, out k); - a.Reverse(lon0, x, y, out x1, out y1); - if (lat != x1 || lon != y1) - throw new Exception("Error in AlbersEqualArea.Reverse"); - LambertConformalConic b = new LambertConformalConic(radius, f, 60.0, 1.0); - b = new LambertConformalConic(radius, f, 60.0, 65.0, 1.0); - b = new LambertConformalConic(radius, f, Math.Sin(88.0 * DEG_TO_RAD), Math.Cos(88.0 * DEG_TO_RAD), - Math.Sin(89.0 * DEG_TO_RAD), Math.Cos(89.0 * DEG_TO_RAD), 1.0); - b = new LambertConformalConic(); - b.SetScale(60.0, 1.0); - b.Forward(-87.0, 32.0, -86.0, out x, out y, out gamma, out k); - b.Forward(-87.0, 32.0, -86.0, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in LambertConformalConic.Forward"); - b.Reverse(-87.0, x, y, out lat, out lon, out gamma, out k); - b.Reverse(-87.0, x, y, out x1, out y1, out gamma, out k); - if (lat != x1 || lon != y1) - throw new Exception("Error in LambertConformalConic.Reverse"); - TransverseMercator c = new TransverseMercator(radius, f, 1.0); - c = new TransverseMercator(); - c.Forward(-87.0, 32.0, -86.0, out x, out y, out gamma, out k); - c.Forward(-87.0, 32.0, -86.0, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in TransverseMercator.Forward"); - c.Reverse(-87.0, x, y, out lat, out lon, out gamma, out k); - c.Reverse(-87.0, x, y, out x1, out y1); - if (lat != x1 || lon != y1) - throw new Exception("Error in TransverseMercator.Reverse"); - TransverseMercatorExact d = new TransverseMercatorExact(radius, f, 1.0, false); - d = new TransverseMercatorExact(); - d.Forward(-87.0, 32.0, -86.0, out x, out y, out gamma, out k); - d.Forward(-87.0, 32.0, -86.0, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in TransverseMercatorExact.Forward"); - d.Reverse(-87.0, x, y, out lat, out lon, out gamma, out k); - d.Reverse(-87.0, x, y, out x1, out y1); - if (lat != x1 || lon != y1) - throw new Exception("Error in TransverseMercatorExact.Reverse"); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.resx deleted file mode 100644 index 3ec30e045320778f2e0b8b29b0f198907a187341..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/AlbersPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.Designer.cs deleted file mode 100644 index 9bc01655174d4786263013ce6c86d3a7ba728440..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.Designer.cs +++ /dev/null @@ -1,493 +0,0 @@ -namespace Projections -{ - partial class EllipsoidPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.groupBox1 = new System.Windows.Forms.GroupBox(); - this.m_setButton = new System.Windows.Forms.Button(); - this.m_flatteningTextBox = new System.Windows.Forms.TextBox(); - this.label1 = new System.Windows.Forms.Label(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.label4 = new System.Windows.Forms.Label(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.m_minorRadiusTextBox = new System.Windows.Forms.TextBox(); - this.m_quarterMeridianTextBox = new System.Windows.Forms.TextBox(); - this.m_areaTextBox = new System.Windows.Forms.TextBox(); - this.m_volumeTextBox = new System.Windows.Forms.TextBox(); - this.m_2ndFlatTextBox = new System.Windows.Forms.TextBox(); - this.m_3rdFlatTextBox = new System.Windows.Forms.TextBox(); - this.m_ecc2TextBox = new System.Windows.Forms.TextBox(); - this.m_2ecc2TextBox = new System.Windows.Forms.TextBox(); - this.label11 = new System.Windows.Forms.Label(); - this.label12 = new System.Windows.Forms.Label(); - this.label13 = new System.Windows.Forms.Label(); - this.m_phiTextBox = new System.Windows.Forms.TextBox(); - this.label14 = new System.Windows.Forms.Label(); - this.label15 = new System.Windows.Forms.Label(); - this.label16 = new System.Windows.Forms.Label(); - this.label17 = new System.Windows.Forms.Label(); - this.m_parametericLatTextBox = new System.Windows.Forms.TextBox(); - this.m_geocentricLatTextBox = new System.Windows.Forms.TextBox(); - this.m_rectifyingLatTextBox = new System.Windows.Forms.TextBox(); - this.m_authalicLatTextBox = new System.Windows.Forms.TextBox(); - this.m_conformalTextBox = new System.Windows.Forms.TextBox(); - this.m_isometricLatTextBox = new System.Windows.Forms.TextBox(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.groupBox1.SuspendLayout(); - this.SuspendLayout(); - // - // groupBox1 - // - this.groupBox1.Controls.Add(this.m_setButton); - this.groupBox1.Controls.Add(this.m_flatteningTextBox); - this.groupBox1.Controls.Add(this.label1); - this.groupBox1.Controls.Add(this.m_equatorialRadiusTextBox); - this.groupBox1.Controls.Add(this.label2); - this.groupBox1.Location = new System.Drawing.Point(3, 3); - this.groupBox1.Name = "groupBox1"; - this.groupBox1.Size = new System.Drawing.Size(146, 140); - this.groupBox1.TabIndex = 7; - this.groupBox1.TabStop = false; - this.groupBox1.Text = "Ellipsoid Parameters"; - // - // m_setButton - // - this.m_setButton.Location = new System.Drawing.Point(12, 107); - this.m_setButton.Name = "m_setButton"; - this.m_setButton.Size = new System.Drawing.Size(75, 23); - this.m_setButton.TabIndex = 4; - this.m_setButton.Text = "Set"; - this.m_toolTip.SetToolTip(this.m_setButton, "Sets ellipsoid parameters"); - this.m_setButton.UseVisualStyleBackColor = true; - this.m_setButton.Click += new System.EventHandler(this.OnSet); - // - // m_flatteningTextBox - // - this.m_flatteningTextBox.Location = new System.Drawing.Point(12, 83); - this.m_flatteningTextBox.Name = "m_flatteningTextBox"; - this.m_flatteningTextBox.Size = new System.Drawing.Size(125, 20); - this.m_flatteningTextBox.TabIndex = 3; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(12, 25); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(109, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Equatorial Radius (meters)"; - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(12, 42); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(125, 20); - this.m_equatorialRadiusTextBox.TabIndex = 2; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(12, 66); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(53, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Flattening"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(159, 8); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(69, 13); - this.label3.TabIndex = 8; - this.label3.Text = "Minor Radius"; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(159, 34); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(85, 13); - this.label4.TabIndex = 9; - this.label4.Text = "Quarter Meridian"; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(159, 60); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(29, 13); - this.label5.TabIndex = 10; - this.label5.Text = "Area"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(159, 86); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(42, 13); - this.label6.TabIndex = 11; - this.label6.Text = "Volume"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(159, 112); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(74, 13); - this.label7.TabIndex = 12; - this.label7.Text = "2nd Flattening"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(159, 138); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(71, 13); - this.label8.TabIndex = 13; - this.label8.Text = "3rd Flattening"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(159, 164); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(74, 13); - this.label9.TabIndex = 14; - this.label9.Text = "Eccentricity^2"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(159, 190); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(94, 13); - this.label10.TabIndex = 15; - this.label10.Text = "2nd eccentricity^2"; - // - // m_minorRadiusTextBox - // - this.m_minorRadiusTextBox.Location = new System.Drawing.Point(259, 4); - this.m_minorRadiusTextBox.Name = "m_minorRadiusTextBox"; - this.m_minorRadiusTextBox.ReadOnly = true; - this.m_minorRadiusTextBox.Size = new System.Drawing.Size(134, 20); - this.m_minorRadiusTextBox.TabIndex = 16; - // - // m_quarterMeridianTextBox - // - this.m_quarterMeridianTextBox.Location = new System.Drawing.Point(259, 30); - this.m_quarterMeridianTextBox.Name = "m_quarterMeridianTextBox"; - this.m_quarterMeridianTextBox.ReadOnly = true; - this.m_quarterMeridianTextBox.Size = new System.Drawing.Size(134, 20); - this.m_quarterMeridianTextBox.TabIndex = 17; - // - // m_areaTextBox - // - this.m_areaTextBox.Location = new System.Drawing.Point(259, 56); - this.m_areaTextBox.Name = "m_areaTextBox"; - this.m_areaTextBox.ReadOnly = true; - this.m_areaTextBox.Size = new System.Drawing.Size(134, 20); - this.m_areaTextBox.TabIndex = 18; - // - // m_volumeTextBox - // - this.m_volumeTextBox.Location = new System.Drawing.Point(259, 82); - this.m_volumeTextBox.Name = "m_volumeTextBox"; - this.m_volumeTextBox.ReadOnly = true; - this.m_volumeTextBox.Size = new System.Drawing.Size(134, 20); - this.m_volumeTextBox.TabIndex = 19; - // - // m_2ndFlatTextBox - // - this.m_2ndFlatTextBox.Location = new System.Drawing.Point(259, 108); - this.m_2ndFlatTextBox.Name = "m_2ndFlatTextBox"; - this.m_2ndFlatTextBox.ReadOnly = true; - this.m_2ndFlatTextBox.Size = new System.Drawing.Size(134, 20); - this.m_2ndFlatTextBox.TabIndex = 20; - // - // m_3rdFlatTextBox - // - this.m_3rdFlatTextBox.Location = new System.Drawing.Point(259, 134); - this.m_3rdFlatTextBox.Name = "m_3rdFlatTextBox"; - this.m_3rdFlatTextBox.ReadOnly = true; - this.m_3rdFlatTextBox.Size = new System.Drawing.Size(134, 20); - this.m_3rdFlatTextBox.TabIndex = 21; - // - // m_ecc2TextBox - // - this.m_ecc2TextBox.Location = new System.Drawing.Point(259, 160); - this.m_ecc2TextBox.Name = "m_ecc2TextBox"; - this.m_ecc2TextBox.ReadOnly = true; - this.m_ecc2TextBox.Size = new System.Drawing.Size(134, 20); - this.m_ecc2TextBox.TabIndex = 22; - // - // m_2ecc2TextBox - // - this.m_2ecc2TextBox.Location = new System.Drawing.Point(259, 186); - this.m_2ecc2TextBox.Name = "m_2ecc2TextBox"; - this.m_2ecc2TextBox.ReadOnly = true; - this.m_2ecc2TextBox.Size = new System.Drawing.Size(134, 20); - this.m_2ecc2TextBox.TabIndex = 23; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(402, 8); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(22, 13); - this.label11.TabIndex = 24; - this.label11.Text = "Phi"; - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(402, 34); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(98, 13); - this.label12.TabIndex = 25; - this.label12.Text = "Parametric Latitude"; - // - // label13 - // - this.label13.AutoSize = true; - this.label13.Location = new System.Drawing.Point(402, 60); - this.label13.Name = "label13"; - this.label13.Size = new System.Drawing.Size(100, 13); - this.label13.TabIndex = 26; - this.label13.Text = "Geocentric Latitude"; - // - // m_phiTextBox - // - this.m_phiTextBox.Location = new System.Drawing.Point(512, 4); - this.m_phiTextBox.Name = "m_phiTextBox"; - this.m_phiTextBox.Size = new System.Drawing.Size(100, 20); - this.m_phiTextBox.TabIndex = 27; - // - // label14 - // - this.label14.AutoSize = true; - this.label14.Location = new System.Drawing.Point(402, 86); - this.label14.Name = "label14"; - this.label14.Size = new System.Drawing.Size(95, 13); - this.label14.TabIndex = 28; - this.label14.Text = "Rectifying Latitude"; - // - // label15 - // - this.label15.AutoSize = true; - this.label15.Location = new System.Drawing.Point(402, 112); - this.label15.Name = "label15"; - this.label15.Size = new System.Drawing.Size(86, 13); - this.label15.TabIndex = 29; - this.label15.Text = "Authalic Latitude"; - // - // label16 - // - this.label16.AutoSize = true; - this.label16.Location = new System.Drawing.Point(402, 138); - this.label16.Name = "label16"; - this.label16.Size = new System.Drawing.Size(95, 13); - this.label16.TabIndex = 30; - this.label16.Text = "Conformal Latitude"; - // - // label17 - // - this.label17.AutoSize = true; - this.label17.Location = new System.Drawing.Point(402, 164); - this.label17.Name = "label17"; - this.label17.Size = new System.Drawing.Size(90, 13); - this.label17.TabIndex = 31; - this.label17.Text = "Isometric Latitude"; - // - // m_parametericLatTextBox - // - this.m_parametericLatTextBox.Location = new System.Drawing.Point(512, 30); - this.m_parametericLatTextBox.Name = "m_parametericLatTextBox"; - this.m_parametericLatTextBox.ReadOnly = true; - this.m_parametericLatTextBox.Size = new System.Drawing.Size(100, 20); - this.m_parametericLatTextBox.TabIndex = 32; - // - // m_geocentricLatTextBox - // - this.m_geocentricLatTextBox.Location = new System.Drawing.Point(512, 56); - this.m_geocentricLatTextBox.Name = "m_geocentricLatTextBox"; - this.m_geocentricLatTextBox.ReadOnly = true; - this.m_geocentricLatTextBox.Size = new System.Drawing.Size(100, 20); - this.m_geocentricLatTextBox.TabIndex = 33; - // - // m_rectifyingLatTextBox - // - this.m_rectifyingLatTextBox.Location = new System.Drawing.Point(512, 82); - this.m_rectifyingLatTextBox.Name = "m_rectifyingLatTextBox"; - this.m_rectifyingLatTextBox.ReadOnly = true; - this.m_rectifyingLatTextBox.Size = new System.Drawing.Size(100, 20); - this.m_rectifyingLatTextBox.TabIndex = 34; - // - // m_authalicLatTextBox - // - this.m_authalicLatTextBox.Location = new System.Drawing.Point(512, 108); - this.m_authalicLatTextBox.Name = "m_authalicLatTextBox"; - this.m_authalicLatTextBox.ReadOnly = true; - this.m_authalicLatTextBox.Size = new System.Drawing.Size(100, 20); - this.m_authalicLatTextBox.TabIndex = 35; - // - // m_conformalTextBox - // - this.m_conformalTextBox.Location = new System.Drawing.Point(512, 134); - this.m_conformalTextBox.Name = "m_conformalTextBox"; - this.m_conformalTextBox.ReadOnly = true; - this.m_conformalTextBox.Size = new System.Drawing.Size(100, 20); - this.m_conformalTextBox.TabIndex = 36; - // - // m_isometricLatTextBox - // - this.m_isometricLatTextBox.Location = new System.Drawing.Point(512, 160); - this.m_isometricLatTextBox.Name = "m_isometricLatTextBox"; - this.m_isometricLatTextBox.ReadOnly = true; - this.m_isometricLatTextBox.Size = new System.Drawing.Size(100, 20); - this.m_isometricLatTextBox.TabIndex = 37; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(435, 185); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(126, 23); - this.button1.TabIndex = 38; - this.button1.Text = "Calculate Latitudes"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnCalculateLatitudes); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(18, 150); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 39; - this.button2.Text = "Validate"; - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnValidate); - // - // EllipsoidPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.button2); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_isometricLatTextBox); - this.Controls.Add(this.m_conformalTextBox); - this.Controls.Add(this.m_authalicLatTextBox); - this.Controls.Add(this.m_rectifyingLatTextBox); - this.Controls.Add(this.m_geocentricLatTextBox); - this.Controls.Add(this.m_parametericLatTextBox); - this.Controls.Add(this.label17); - this.Controls.Add(this.label16); - this.Controls.Add(this.label15); - this.Controls.Add(this.label14); - this.Controls.Add(this.m_phiTextBox); - this.Controls.Add(this.label13); - this.Controls.Add(this.label12); - this.Controls.Add(this.label11); - this.Controls.Add(this.m_2ecc2TextBox); - this.Controls.Add(this.m_ecc2TextBox); - this.Controls.Add(this.m_3rdFlatTextBox); - this.Controls.Add(this.m_2ndFlatTextBox); - this.Controls.Add(this.m_volumeTextBox); - this.Controls.Add(this.m_areaTextBox); - this.Controls.Add(this.m_quarterMeridianTextBox); - this.Controls.Add(this.m_minorRadiusTextBox); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.label4); - this.Controls.Add(this.label3); - this.Controls.Add(this.groupBox1); - this.Name = "EllipsoidPanel"; - this.Size = new System.Drawing.Size(798, 356); - this.groupBox1.ResumeLayout(false); - this.groupBox1.PerformLayout(); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.GroupBox groupBox1; - private System.Windows.Forms.Button m_setButton; - private System.Windows.Forms.TextBox m_flatteningTextBox; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.TextBox m_minorRadiusTextBox; - private System.Windows.Forms.TextBox m_quarterMeridianTextBox; - private System.Windows.Forms.TextBox m_areaTextBox; - private System.Windows.Forms.TextBox m_volumeTextBox; - private System.Windows.Forms.TextBox m_2ndFlatTextBox; - private System.Windows.Forms.TextBox m_3rdFlatTextBox; - private System.Windows.Forms.TextBox m_ecc2TextBox; - private System.Windows.Forms.TextBox m_2ecc2TextBox; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.Label label13; - private System.Windows.Forms.TextBox m_phiTextBox; - private System.Windows.Forms.Label label14; - private System.Windows.Forms.Label label15; - private System.Windows.Forms.Label label16; - private System.Windows.Forms.Label label17; - private System.Windows.Forms.TextBox m_parametericLatTextBox; - private System.Windows.Forms.TextBox m_geocentricLatTextBox; - private System.Windows.Forms.TextBox m_rectifyingLatTextBox; - private System.Windows.Forms.TextBox m_authalicLatTextBox; - private System.Windows.Forms.TextBox m_conformalTextBox; - private System.Windows.Forms.TextBox m_isometricLatTextBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Button button2; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.cs deleted file mode 100644 index 53de53837dc7f1b5e00e47dcb69dac5e91c3107e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.cs +++ /dev/null @@ -1,117 +0,0 @@ -/** - * \file NETGeographicLib\EllipsoidPanel.cs - * \brief NETGeographicLib.Ellipsoid example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class EllipsoidPanel : UserControl - { - Ellipsoid m_ell = null; - public EllipsoidPanel() - { - InitializeComponent(); - m_ell = new Ellipsoid(); - m_majorRadiusTextBox.Text = m_ell.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = m_ell.Flattening.ToString(); - - m_minorRadiusTextBox.Text = m_ell.MinorRadius.ToString(); - m_quarterMeridianTextBox.Text = m_ell.QuarterMeridian.ToString(); - m_areaTextBox.Text = m_ell.Area.ToString(); - m_volumeTextBox.Text = m_ell.Volume.ToString(); - m_2ndFlatTextBox.Text = m_ell.SecondFlattening.ToString(); - m_3rdFlatTextBox.Text = m_ell.ThirdFlattening.ToString(); - m_ecc2TextBox.Text = m_ell.EccentricitySq.ToString(); - m_2ecc2TextBox.Text = m_ell.SecondEccentricitySq.ToString(); - } - - private void OnSet(object sender, EventArgs e) - { - try - { - double a = Double.Parse(m_majorRadiusTextBox.Text); - double f = Double.Parse(m_flatteningTextBox.Text); - m_ell = new Ellipsoid(a, f); - - m_minorRadiusTextBox.Text = m_ell.MinorRadius.ToString(); - m_quarterMeridianTextBox.Text = m_ell.QuarterMeridian.ToString(); - m_areaTextBox.Text = m_ell.Area.ToString(); - m_volumeTextBox.Text = m_ell.Volume.ToString(); - m_2ndFlatTextBox.Text = m_ell.SecondFlattening.ToString(); - m_3rdFlatTextBox.Text = m_ell.ThirdFlattening.ToString(); - m_ecc2TextBox.Text = m_ell.EccentricitySq.ToString(); - m_2ecc2TextBox.Text = m_ell.SecondEccentricitySq.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnCalculateLatitudes(object sender, EventArgs e) - { - try - { - double phi = Double.Parse(m_phiTextBox.Text); - m_parametericLatTextBox.Text = m_ell.ParametricLatitude(phi).ToString(); - m_geocentricLatTextBox.Text = m_ell.GeocentricLatitude(phi).ToString(); - m_rectifyingLatTextBox.Text = m_ell.RectifyingLatitude(phi).ToString(); - m_authalicLatTextBox.Text = m_ell.AuthalicLatitude(phi).ToString(); - m_conformalTextBox.Text = m_ell.ConformalLatitude(phi).ToString(); - m_isometricLatTextBox.Text = m_ell.IsometricLatitude(phi).ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - Ellipsoid ee = new Ellipsoid(50000.0, .003); - ee = new Ellipsoid(); - ee.AuthalicLatitude(30.0); - ee.CircleHeight(30.0); - ee.CircleRadius(30.0); - ee.ConformalLatitude(30.0); - ee.GeocentricLatitude(30.0); - ee.InverseAuthalicLatitude(30.0); - ee.InverseConformalLatitude(30.0); - ee.InverseGeocentricLatitude(30.0); - ee.InverseIsometricLatitude(30.0); - ee.InverseParametricLatitude(30.0); - ee.InverseRectifyingLatitude(30.0); - ee.IsometricLatitude(30.0); - ee.MeridianDistance(30.0); - ee.MeridionalCurvatureRadius(30.0); - ee.NormalCurvatureRadius(30.0, 60.0); - ee.ParametricLatitude(30.0); - ee.RectifyingLatitude(30.0); - ee.TransverseCurvatureRadius(30.0); - - MessageBox.Show("no errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.resx deleted file mode 100644 index 3ec30e045320778f2e0b8b29b0f198907a187341..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipsoidPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.Designer.cs deleted file mode 100644 index b58e769562b133dc42884d5212851661bc864ab5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.Designer.cs +++ /dev/null @@ -1,529 +0,0 @@ -namespace Projections -{ - partial class EllipticPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.label4 = new System.Windows.Forms.Label(); - this.label1 = new System.Windows.Forms.Label(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.m_k2TextBox = new System.Windows.Forms.TextBox(); - this.m_alpha2TextBox = new System.Windows.Forms.TextBox(); - this.m_kp2TextBox = new System.Windows.Forms.TextBox(); - this.m_alphap2TextBox = new System.Windows.Forms.TextBox(); - this.button1 = new System.Windows.Forms.Button(); - this.m_constructorComboBox = new System.Windows.Forms.ComboBox(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.label12 = new System.Windows.Forms.Label(); - this.m_KtextBox = new System.Windows.Forms.TextBox(); - this.m_EtextBox = new System.Windows.Forms.TextBox(); - this.m_DtextBox = new System.Windows.Forms.TextBox(); - this.m_KEtextBox = new System.Windows.Forms.TextBox(); - this.m_PItextBox = new System.Windows.Forms.TextBox(); - this.m_GtextBox = new System.Windows.Forms.TextBox(); - this.m_HtextBox = new System.Windows.Forms.TextBox(); - this.label13 = new System.Windows.Forms.Label(); - this.label14 = new System.Windows.Forms.Label(); - this.label15 = new System.Windows.Forms.Label(); - this.label16 = new System.Windows.Forms.Label(); - this.label17 = new System.Windows.Forms.Label(); - this.label18 = new System.Windows.Forms.Label(); - this.label19 = new System.Windows.Forms.Label(); - this.m_phiTextBox = new System.Windows.Forms.TextBox(); - this.m_EphiTextBox = new System.Windows.Forms.TextBox(); - this.m_DphiTextBox = new System.Windows.Forms.TextBox(); - this.m_FphiTextBox = new System.Windows.Forms.TextBox(); - this.m_PiphiTextBox = new System.Windows.Forms.TextBox(); - this.m_GphiTextBox = new System.Windows.Forms.TextBox(); - this.m_HphiTextBox = new System.Windows.Forms.TextBox(); - this.button2 = new System.Windows.Forms.Button(); - this.button3 = new System.Windows.Forms.Button(); - this.SuspendLayout(); - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(9, 11); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(19, 13); - this.label4.TabIndex = 0; - this.label4.Text = "k2"; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(9, 37); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(39, 13); - this.label1.TabIndex = 1; - this.label1.Text = "alpha2"; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(9, 63); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(25, 13); - this.label2.TabIndex = 2; - this.label2.Text = "kp2"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(9, 89); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(45, 13); - this.label3.TabIndex = 3; - this.label3.Text = "alphap2"; - // - // m_k2TextBox - // - this.m_k2TextBox.Location = new System.Drawing.Point(76, 7); - this.m_k2TextBox.Name = "m_k2TextBox"; - this.m_k2TextBox.Size = new System.Drawing.Size(100, 20); - this.m_k2TextBox.TabIndex = 4; - // - // m_alpha2TextBox - // - this.m_alpha2TextBox.Location = new System.Drawing.Point(76, 33); - this.m_alpha2TextBox.Name = "m_alpha2TextBox"; - this.m_alpha2TextBox.Size = new System.Drawing.Size(100, 20); - this.m_alpha2TextBox.TabIndex = 5; - // - // m_kp2TextBox - // - this.m_kp2TextBox.Location = new System.Drawing.Point(76, 59); - this.m_kp2TextBox.Name = "m_kp2TextBox"; - this.m_kp2TextBox.Size = new System.Drawing.Size(100, 20); - this.m_kp2TextBox.TabIndex = 6; - // - // m_alphap2TextBox - // - this.m_alphap2TextBox.Location = new System.Drawing.Point(76, 85); - this.m_alphap2TextBox.Name = "m_alphap2TextBox"; - this.m_alphap2TextBox.Size = new System.Drawing.Size(100, 20); - this.m_alphap2TextBox.TabIndex = 7; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(47, 141); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 8; - this.button1.Text = "Set"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnSet); - // - // m_constructorComboBox - // - this.m_constructorComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_constructorComboBox.FormattingEnabled = true; - this.m_constructorComboBox.Items.AddRange(new object[] { - "Constructor #1", - "Constructor #2"}); - this.m_constructorComboBox.Location = new System.Drawing.Point(76, 113); - this.m_constructorComboBox.Name = "m_constructorComboBox"; - this.m_constructorComboBox.Size = new System.Drawing.Size(100, 21); - this.m_constructorComboBox.TabIndex = 9; - this.m_toolTip.SetToolTip(this.m_constructorComboBox, "Selects the constructor"); - this.m_constructorComboBox.SelectedIndexChanged += new System.EventHandler(this.OnConstructor); - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(9, 117); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(61, 13); - this.label5.TabIndex = 10; - this.label5.Text = "Constructor"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(186, 11); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(14, 13); - this.label6.TabIndex = 11; - this.label6.Text = "K"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(186, 37); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(14, 13); - this.label7.TabIndex = 12; - this.label7.Text = "E"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(186, 63); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(15, 13); - this.label8.TabIndex = 13; - this.label8.Text = "D"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(186, 89); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(21, 13); - this.label9.TabIndex = 14; - this.label9.Text = "KE"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(186, 113); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(16, 13); - this.label10.TabIndex = 15; - this.label10.Text = "Pi"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(186, 141); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(15, 13); - this.label11.TabIndex = 16; - this.label11.Text = "G"; - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(186, 168); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(15, 13); - this.label12.TabIndex = 17; - this.label12.Text = "H"; - // - // m_KtextBox - // - this.m_KtextBox.Location = new System.Drawing.Point(218, 7); - this.m_KtextBox.Name = "m_KtextBox"; - this.m_KtextBox.ReadOnly = true; - this.m_KtextBox.Size = new System.Drawing.Size(100, 20); - this.m_KtextBox.TabIndex = 18; - // - // m_EtextBox - // - this.m_EtextBox.Location = new System.Drawing.Point(218, 33); - this.m_EtextBox.Name = "m_EtextBox"; - this.m_EtextBox.ReadOnly = true; - this.m_EtextBox.Size = new System.Drawing.Size(100, 20); - this.m_EtextBox.TabIndex = 19; - // - // m_DtextBox - // - this.m_DtextBox.Location = new System.Drawing.Point(218, 59); - this.m_DtextBox.Name = "m_DtextBox"; - this.m_DtextBox.ReadOnly = true; - this.m_DtextBox.Size = new System.Drawing.Size(100, 20); - this.m_DtextBox.TabIndex = 20; - // - // m_KEtextBox - // - this.m_KEtextBox.Location = new System.Drawing.Point(218, 85); - this.m_KEtextBox.Name = "m_KEtextBox"; - this.m_KEtextBox.ReadOnly = true; - this.m_KEtextBox.Size = new System.Drawing.Size(100, 20); - this.m_KEtextBox.TabIndex = 21; - // - // m_PItextBox - // - this.m_PItextBox.Location = new System.Drawing.Point(218, 111); - this.m_PItextBox.Name = "m_PItextBox"; - this.m_PItextBox.ReadOnly = true; - this.m_PItextBox.Size = new System.Drawing.Size(100, 20); - this.m_PItextBox.TabIndex = 22; - // - // m_GtextBox - // - this.m_GtextBox.Location = new System.Drawing.Point(218, 137); - this.m_GtextBox.Name = "m_GtextBox"; - this.m_GtextBox.ReadOnly = true; - this.m_GtextBox.Size = new System.Drawing.Size(100, 20); - this.m_GtextBox.TabIndex = 23; - // - // m_HtextBox - // - this.m_HtextBox.Location = new System.Drawing.Point(218, 163); - this.m_HtextBox.Name = "m_HtextBox"; - this.m_HtextBox.ReadOnly = true; - this.m_HtextBox.Size = new System.Drawing.Size(100, 20); - this.m_HtextBox.TabIndex = 24; - // - // label13 - // - this.label13.AutoSize = true; - this.label13.Location = new System.Drawing.Point(329, 11); - this.label13.Name = "label13"; - this.label13.Size = new System.Drawing.Size(21, 13); - this.label13.TabIndex = 25; - this.label13.Text = "phi"; - // - // label14 - // - this.label14.AutoSize = true; - this.label14.Location = new System.Drawing.Point(329, 37); - this.label14.Name = "label14"; - this.label14.Size = new System.Drawing.Size(34, 13); - this.label14.TabIndex = 26; - this.label14.Text = "E(phi)"; - // - // label15 - // - this.label15.AutoSize = true; - this.label15.Location = new System.Drawing.Point(329, 89); - this.label15.Name = "label15"; - this.label15.Size = new System.Drawing.Size(33, 13); - this.label15.TabIndex = 27; - this.label15.Text = "F(phi)"; - // - // label16 - // - this.label16.AutoSize = true; - this.label16.Location = new System.Drawing.Point(329, 63); - this.label16.Name = "label16"; - this.label16.Size = new System.Drawing.Size(35, 13); - this.label16.TabIndex = 28; - this.label16.Text = "D(phi)"; - // - // label17 - // - this.label17.AutoSize = true; - this.label17.Location = new System.Drawing.Point(329, 115); - this.label17.Name = "label17"; - this.label17.Size = new System.Drawing.Size(36, 13); - this.label17.TabIndex = 29; - this.label17.Text = "Pi(phi)"; - // - // label18 - // - this.label18.AutoSize = true; - this.label18.Location = new System.Drawing.Point(329, 141); - this.label18.Name = "label18"; - this.label18.Size = new System.Drawing.Size(35, 13); - this.label18.TabIndex = 30; - this.label18.Text = "G(phi)"; - // - // label19 - // - this.label19.AutoSize = true; - this.label19.Location = new System.Drawing.Point(329, 167); - this.label19.Name = "label19"; - this.label19.Size = new System.Drawing.Size(35, 13); - this.label19.TabIndex = 31; - this.label19.Text = "H(phi)"; - // - // m_phiTextBox - // - this.m_phiTextBox.Location = new System.Drawing.Point(371, 7); - this.m_phiTextBox.Name = "m_phiTextBox"; - this.m_phiTextBox.Size = new System.Drawing.Size(100, 20); - this.m_phiTextBox.TabIndex = 32; - // - // m_EphiTextBox - // - this.m_EphiTextBox.Location = new System.Drawing.Point(371, 33); - this.m_EphiTextBox.Name = "m_EphiTextBox"; - this.m_EphiTextBox.ReadOnly = true; - this.m_EphiTextBox.Size = new System.Drawing.Size(100, 20); - this.m_EphiTextBox.TabIndex = 33; - // - // m_DphiTextBox - // - this.m_DphiTextBox.Location = new System.Drawing.Point(372, 59); - this.m_DphiTextBox.Name = "m_DphiTextBox"; - this.m_DphiTextBox.ReadOnly = true; - this.m_DphiTextBox.Size = new System.Drawing.Size(100, 20); - this.m_DphiTextBox.TabIndex = 34; - // - // m_FphiTextBox - // - this.m_FphiTextBox.Location = new System.Drawing.Point(371, 85); - this.m_FphiTextBox.Name = "m_FphiTextBox"; - this.m_FphiTextBox.ReadOnly = true; - this.m_FphiTextBox.Size = new System.Drawing.Size(100, 20); - this.m_FphiTextBox.TabIndex = 35; - // - // m_PiphiTextBox - // - this.m_PiphiTextBox.Location = new System.Drawing.Point(371, 111); - this.m_PiphiTextBox.Name = "m_PiphiTextBox"; - this.m_PiphiTextBox.ReadOnly = true; - this.m_PiphiTextBox.Size = new System.Drawing.Size(100, 20); - this.m_PiphiTextBox.TabIndex = 36; - // - // m_GphiTextBox - // - this.m_GphiTextBox.Location = new System.Drawing.Point(371, 137); - this.m_GphiTextBox.Name = "m_GphiTextBox"; - this.m_GphiTextBox.ReadOnly = true; - this.m_GphiTextBox.Size = new System.Drawing.Size(100, 20); - this.m_GphiTextBox.TabIndex = 37; - // - // m_HphiTextBox - // - this.m_HphiTextBox.Location = new System.Drawing.Point(371, 163); - this.m_HphiTextBox.Name = "m_HphiTextBox"; - this.m_HphiTextBox.ReadOnly = true; - this.m_HphiTextBox.Size = new System.Drawing.Size(100, 20); - this.m_HphiTextBox.TabIndex = 38; - // - // button2 - // - this.button2.Location = new System.Drawing.Point(332, 190); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(139, 23); - this.button2.TabIndex = 39; - this.button2.Text = "Calculate phi functions"; - this.m_toolTip.SetToolTip(this.button2, "Calculate all functions that use phi as an input"); - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnComputePhi); - // - // button3 - // - this.button3.Location = new System.Drawing.Point(47, 168); - this.button3.Name = "button3"; - this.button3.Size = new System.Drawing.Size(75, 23); - this.button3.TabIndex = 40; - this.button3.Text = "Validate"; - this.m_toolTip.SetToolTip(this.button3, "Verifies Elliptic Function interfaces"); - this.button3.UseVisualStyleBackColor = true; - this.button3.Click += new System.EventHandler(this.OnValidate); - // - // EllipticPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.button3); - this.Controls.Add(this.button2); - this.Controls.Add(this.m_HphiTextBox); - this.Controls.Add(this.m_GphiTextBox); - this.Controls.Add(this.m_PiphiTextBox); - this.Controls.Add(this.m_FphiTextBox); - this.Controls.Add(this.m_DphiTextBox); - this.Controls.Add(this.m_EphiTextBox); - this.Controls.Add(this.m_phiTextBox); - this.Controls.Add(this.label19); - this.Controls.Add(this.label18); - this.Controls.Add(this.label17); - this.Controls.Add(this.label16); - this.Controls.Add(this.label15); - this.Controls.Add(this.label14); - this.Controls.Add(this.label13); - this.Controls.Add(this.m_HtextBox); - this.Controls.Add(this.m_GtextBox); - this.Controls.Add(this.m_PItextBox); - this.Controls.Add(this.m_KEtextBox); - this.Controls.Add(this.m_DtextBox); - this.Controls.Add(this.m_EtextBox); - this.Controls.Add(this.m_KtextBox); - this.Controls.Add(this.label12); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.m_constructorComboBox); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_alphap2TextBox); - this.Controls.Add(this.m_kp2TextBox); - this.Controls.Add(this.m_alpha2TextBox); - this.Controls.Add(this.m_k2TextBox); - this.Controls.Add(this.label3); - this.Controls.Add(this.label2); - this.Controls.Add(this.label1); - this.Controls.Add(this.label4); - this.Name = "EllipticPanel"; - this.Size = new System.Drawing.Size(764, 377); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.TextBox m_k2TextBox; - private System.Windows.Forms.TextBox m_alpha2TextBox; - private System.Windows.Forms.TextBox m_kp2TextBox; - private System.Windows.Forms.TextBox m_alphap2TextBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.ComboBox m_constructorComboBox; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.TextBox m_KtextBox; - private System.Windows.Forms.TextBox m_EtextBox; - private System.Windows.Forms.TextBox m_DtextBox; - private System.Windows.Forms.TextBox m_KEtextBox; - private System.Windows.Forms.TextBox m_PItextBox; - private System.Windows.Forms.TextBox m_GtextBox; - private System.Windows.Forms.TextBox m_HtextBox; - private System.Windows.Forms.Label label13; - private System.Windows.Forms.Label label14; - private System.Windows.Forms.Label label15; - private System.Windows.Forms.Label label16; - private System.Windows.Forms.Label label17; - private System.Windows.Forms.Label label18; - private System.Windows.Forms.Label label19; - private System.Windows.Forms.TextBox m_phiTextBox; - private System.Windows.Forms.TextBox m_EphiTextBox; - private System.Windows.Forms.TextBox m_DphiTextBox; - private System.Windows.Forms.TextBox m_FphiTextBox; - private System.Windows.Forms.TextBox m_PiphiTextBox; - private System.Windows.Forms.TextBox m_GphiTextBox; - private System.Windows.Forms.TextBox m_HphiTextBox; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.Button button3; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.cs deleted file mode 100644 index efc8a9fd035dd5d7648fb0e8aab6e1d5c1fed965..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.cs +++ /dev/null @@ -1,136 +0,0 @@ -/** - * \file NETGeographicLib\EllipticPanel.cs - * \brief NETGeographicLib.EllipticFunction example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class EllipticPanel : UserControl - { - EllipticFunction m_func = null; - - public EllipticPanel() - { - InitializeComponent(); - m_constructorComboBox.SelectedIndex = 0; - m_k2TextBox.Text = "0.5"; - m_alpha2TextBox.Text = "0.5"; - OnSet(null, null); - } - - private void OnSet(object sender, EventArgs e) - { - try - { - double k2 = Double.Parse(m_k2TextBox.Text); - double alpha2 = Double.Parse(m_alpha2TextBox.Text); - if (m_constructorComboBox.SelectedIndex == 0) - m_func = new EllipticFunction(k2, alpha2); - else - { - double kp2 = Double.Parse(m_kp2TextBox.Text); - double alphap2 = Double.Parse(m_alphap2TextBox.Text); - m_func = new EllipticFunction(k2, alpha2, kp2, alphap2); - } - m_KtextBox.Text = m_func.K().ToString(); - m_EtextBox.Text = m_func.E().ToString(); - m_DtextBox.Text = m_func.D().ToString(); - m_KEtextBox.Text = m_func.KE().ToString(); - m_PItextBox.Text = m_func.Pi().ToString(); - m_GtextBox.Text = m_func.G().ToString(); - m_HtextBox.Text = m_func.H().ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnConstructor(object sender, EventArgs e) - { - m_kp2TextBox.ReadOnly = m_alphap2TextBox.ReadOnly = m_constructorComboBox.SelectedIndex == 0; - } - - private void OnComputePhi(object sender, EventArgs e) - { - try - { - double phi = Double.Parse(m_phiTextBox.Text); - m_EphiTextBox.Text = m_func.E(phi).ToString(); - m_FphiTextBox.Text = m_func.F(phi).ToString(); - m_DphiTextBox.Text = m_func.D(phi).ToString(); - m_GphiTextBox.Text = m_func.G(phi).ToString(); - m_HphiTextBox.Text = m_func.H(phi).ToString(); - m_PiphiTextBox.Text = m_func.Pi(phi).ToString(); - } - catch ( Exception xcpt ) - { - MessageBox.Show( xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error ); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - double phi = 0.8; - EllipticFunction f = new EllipticFunction(0.3, 0.4, 0.7, 0.6); - f.Reset(0.2, 0.3, 0.8, 0.7); - f = new EllipticFunction(0.3, 0.4); - f.Reset(0.2, 0.3); - double cn, sn, dn; - f.sncndn(0.3, out sn, out cn, out dn); - f.Delta(sn, cn); - f.D(); - f.D(phi); - f.D(sn, cn, dn); - f.Pi(); - f.Pi(phi); - f.Pi(sn, cn, dn); - f.KE(); - f.K(); - f.H(); - f.H(phi); - f.H(sn, cn, dn); - f.G(); - f.G(phi); - f.G(sn, cn, dn); - f.F(phi); - f.F(sn, cn, dn); - f.Einv(0.75); - f.Ed(60.0); - f.E(); - f.E(phi); - f.E(sn, cn, dn); - double tau = 3.1415927 / 10.0; - f.deltaEinv(Math.Sin(tau), Math.Cos(tau)); - f.deltaD(sn, cn, dn); - f.deltaE(sn, cn, dn); - f.deltaF(sn, cn, dn); - f.deltaG(sn, cn, dn); - f.deltaH(sn, cn, dn); - f.deltaPi(sn, cn, dn); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.resx deleted file mode 100644 index 3ec30e045320778f2e0b8b29b0f198907a187341..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/EllipticPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.Designer.cs deleted file mode 100644 index d9b4998b1620aea085d06f0183c552440b979abe..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.Designer.cs +++ /dev/null @@ -1,278 +0,0 @@ -namespace Projections -{ - partial class Form1 - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Windows Form Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.m_tabControl = new System.Windows.Forms.TabControl(); - this.m_geocentricTabPage = new System.Windows.Forms.TabPage(); - this.m_geodesicTabPage = new System.Windows.Forms.TabPage(); - this.m_localCartesianPage = new System.Windows.Forms.TabPage(); - this.m_albersPage = new System.Windows.Forms.TabPage(); - this.m_typeIIProjections = new System.Windows.Forms.TabPage(); - this.m_typeIIIProjPage = new System.Windows.Forms.TabPage(); - this.m_polarStereoPage = new System.Windows.Forms.TabPage(); - this.m_sphericalPage = new System.Windows.Forms.TabPage(); - this.m_ellipticPage = new System.Windows.Forms.TabPage(); - this.m_ellipsoidPage = new System.Windows.Forms.TabPage(); - this.m_miscPage = new System.Windows.Forms.TabPage(); - this.m_geoidPage = new System.Windows.Forms.TabPage(); - this.m_gravityPage = new System.Windows.Forms.TabPage(); - this.m_magneticPage = new System.Windows.Forms.TabPage(); - this.m_polyPage = new System.Windows.Forms.TabPage(); - this.m_accumPage = new System.Windows.Forms.TabPage(); - this.m_rhumbTabPage = new System.Windows.Forms.TabPage(); - this.m_tabControl.SuspendLayout(); - this.SuspendLayout(); - // - // m_tabControl - // - this.m_tabControl.Controls.Add(this.m_geocentricTabPage); - this.m_tabControl.Controls.Add(this.m_geodesicTabPage); - this.m_tabControl.Controls.Add(this.m_localCartesianPage); - this.m_tabControl.Controls.Add(this.m_albersPage); - this.m_tabControl.Controls.Add(this.m_typeIIProjections); - this.m_tabControl.Controls.Add(this.m_typeIIIProjPage); - this.m_tabControl.Controls.Add(this.m_polarStereoPage); - this.m_tabControl.Controls.Add(this.m_sphericalPage); - this.m_tabControl.Controls.Add(this.m_ellipticPage); - this.m_tabControl.Controls.Add(this.m_ellipsoidPage); - this.m_tabControl.Controls.Add(this.m_miscPage); - this.m_tabControl.Controls.Add(this.m_geoidPage); - this.m_tabControl.Controls.Add(this.m_gravityPage); - this.m_tabControl.Controls.Add(this.m_magneticPage); - this.m_tabControl.Controls.Add(this.m_polyPage); - this.m_tabControl.Controls.Add(this.m_accumPage); - this.m_tabControl.Controls.Add(this.m_rhumbTabPage); - this.m_tabControl.Dock = System.Windows.Forms.DockStyle.Fill; - this.m_tabControl.Location = new System.Drawing.Point(0, 0); - this.m_tabControl.Name = "m_tabControl"; - this.m_tabControl.SelectedIndex = 0; - this.m_tabControl.ShowToolTips = true; - this.m_tabControl.Size = new System.Drawing.Size(944, 262); - this.m_tabControl.TabIndex = 0; - // - // m_geocentricTabPage - // - this.m_geocentricTabPage.Location = new System.Drawing.Point(4, 22); - this.m_geocentricTabPage.Name = "m_geocentricTabPage"; - this.m_geocentricTabPage.Size = new System.Drawing.Size(936, 236); - this.m_geocentricTabPage.TabIndex = 1; - this.m_geocentricTabPage.Text = "Geocentric"; - this.m_geocentricTabPage.UseVisualStyleBackColor = true; - // - // m_geodesicTabPage - // - this.m_geodesicTabPage.Location = new System.Drawing.Point(4, 22); - this.m_geodesicTabPage.Name = "m_geodesicTabPage"; - this.m_geodesicTabPage.Padding = new System.Windows.Forms.Padding(3); - this.m_geodesicTabPage.Size = new System.Drawing.Size(936, 236); - this.m_geodesicTabPage.TabIndex = 0; - this.m_geodesicTabPage.Text = "Geodesic"; - this.m_geodesicTabPage.ToolTipText = "Geodesic, GeodesicExact, GeodesicLine, & GeodesicLineExact"; - this.m_geodesicTabPage.UseVisualStyleBackColor = true; - // - // m_localCartesianPage - // - this.m_localCartesianPage.Location = new System.Drawing.Point(4, 22); - this.m_localCartesianPage.Name = "m_localCartesianPage"; - this.m_localCartesianPage.Size = new System.Drawing.Size(936, 236); - this.m_localCartesianPage.TabIndex = 2; - this.m_localCartesianPage.Text = "LocalCartesian"; - this.m_localCartesianPage.UseVisualStyleBackColor = true; - // - // m_albersPage - // - this.m_albersPage.Location = new System.Drawing.Point(4, 22); - this.m_albersPage.Name = "m_albersPage"; - this.m_albersPage.Size = new System.Drawing.Size(936, 236); - this.m_albersPage.TabIndex = 3; - this.m_albersPage.Text = "Type I Projections"; - this.m_albersPage.ToolTipText = "Albers Equal Area, Lambert Conformal Conic, Transverse Mercator, and Transverse M" + - "ercator Exact Projections"; - this.m_albersPage.UseVisualStyleBackColor = true; - // - // m_typeIIProjections - // - this.m_typeIIProjections.Location = new System.Drawing.Point(4, 22); - this.m_typeIIProjections.Name = "m_typeIIProjections"; - this.m_typeIIProjections.Size = new System.Drawing.Size(936, 236); - this.m_typeIIProjections.TabIndex = 4; - this.m_typeIIProjections.Text = "Type II Projections"; - this.m_typeIIProjections.ToolTipText = "Azimuth Equidistant, Cassini Soldner, and Gnomonic Projections"; - this.m_typeIIProjections.UseVisualStyleBackColor = true; - // - // m_typeIIIProjPage - // - this.m_typeIIIProjPage.Location = new System.Drawing.Point(4, 22); - this.m_typeIIIProjPage.Name = "m_typeIIIProjPage"; - this.m_typeIIIProjPage.Size = new System.Drawing.Size(936, 236); - this.m_typeIIIProjPage.TabIndex = 11; - this.m_typeIIIProjPage.Text = "Type III Projections"; - this.m_typeIIIProjPage.ToolTipText = "MGRS/OSGB/UTMUPS"; - this.m_typeIIIProjPage.UseVisualStyleBackColor = true; - // - // m_polarStereoPage - // - this.m_polarStereoPage.Location = new System.Drawing.Point(4, 22); - this.m_polarStereoPage.Name = "m_polarStereoPage"; - this.m_polarStereoPage.Size = new System.Drawing.Size(936, 236); - this.m_polarStereoPage.TabIndex = 5; - this.m_polarStereoPage.Text = "Polar Stereographic"; - this.m_polarStereoPage.UseVisualStyleBackColor = true; - // - // m_sphericalPage - // - this.m_sphericalPage.Location = new System.Drawing.Point(4, 22); - this.m_sphericalPage.Name = "m_sphericalPage"; - this.m_sphericalPage.Size = new System.Drawing.Size(936, 236); - this.m_sphericalPage.TabIndex = 6; - this.m_sphericalPage.Text = "Spherical Harmonics"; - this.m_sphericalPage.ToolTipText = "Spherical Harmonic, Spherical Harmonic 1, and Spherical Harmonic 2"; - this.m_sphericalPage.UseVisualStyleBackColor = true; - // - // m_ellipticPage - // - this.m_ellipticPage.Location = new System.Drawing.Point(4, 22); - this.m_ellipticPage.Name = "m_ellipticPage"; - this.m_ellipticPage.Size = new System.Drawing.Size(936, 236); - this.m_ellipticPage.TabIndex = 7; - this.m_ellipticPage.Text = "Elliptic Function"; - this.m_ellipticPage.UseVisualStyleBackColor = true; - // - // m_ellipsoidPage - // - this.m_ellipsoidPage.Location = new System.Drawing.Point(4, 22); - this.m_ellipsoidPage.Name = "m_ellipsoidPage"; - this.m_ellipsoidPage.Size = new System.Drawing.Size(936, 236); - this.m_ellipsoidPage.TabIndex = 8; - this.m_ellipsoidPage.Text = "Ellipsoid"; - this.m_ellipsoidPage.UseVisualStyleBackColor = true; - // - // m_miscPage - // - this.m_miscPage.Location = new System.Drawing.Point(4, 22); - this.m_miscPage.Name = "m_miscPage"; - this.m_miscPage.Size = new System.Drawing.Size(936, 236); - this.m_miscPage.TabIndex = 9; - this.m_miscPage.Text = "Miscellaneous"; - this.m_miscPage.ToolTipText = "DDS/Geohash"; - this.m_miscPage.UseVisualStyleBackColor = true; - // - // m_geoidPage - // - this.m_geoidPage.Location = new System.Drawing.Point(4, 22); - this.m_geoidPage.Name = "m_geoidPage"; - this.m_geoidPage.Size = new System.Drawing.Size(936, 236); - this.m_geoidPage.TabIndex = 10; - this.m_geoidPage.Text = "Geoid"; - this.m_geoidPage.UseVisualStyleBackColor = true; - // - // m_gravityPage - // - this.m_gravityPage.Location = new System.Drawing.Point(4, 22); - this.m_gravityPage.Name = "m_gravityPage"; - this.m_gravityPage.Size = new System.Drawing.Size(936, 236); - this.m_gravityPage.TabIndex = 12; - this.m_gravityPage.Text = "Gravity"; - this.m_gravityPage.ToolTipText = "GravityModel/GravityCircle/NormalGravity"; - this.m_gravityPage.UseVisualStyleBackColor = true; - // - // m_magneticPage - // - this.m_magneticPage.Location = new System.Drawing.Point(4, 22); - this.m_magneticPage.Name = "m_magneticPage"; - this.m_magneticPage.Size = new System.Drawing.Size(936, 236); - this.m_magneticPage.TabIndex = 13; - this.m_magneticPage.Text = "Magnetic"; - this.m_magneticPage.ToolTipText = "MagneticModel/MagneticCircle"; - this.m_magneticPage.UseVisualStyleBackColor = true; - // - // m_polyPage - // - this.m_polyPage.Location = new System.Drawing.Point(4, 22); - this.m_polyPage.Name = "m_polyPage"; - this.m_polyPage.Size = new System.Drawing.Size(936, 236); - this.m_polyPage.TabIndex = 14; - this.m_polyPage.Text = "PolygonArea"; - this.m_polyPage.UseVisualStyleBackColor = true; - // - // m_accumPage - // - this.m_accumPage.Location = new System.Drawing.Point(4, 22); - this.m_accumPage.Name = "m_accumPage"; - this.m_accumPage.Size = new System.Drawing.Size(936, 236); - this.m_accumPage.TabIndex = 15; - this.m_accumPage.Text = "Accumulator"; - this.m_accumPage.UseVisualStyleBackColor = true; - // - // m_rhumbTabPage - // - this.m_rhumbTabPage.Location = new System.Drawing.Point(4, 22); - this.m_rhumbTabPage.Name = "m_rhumbTabPage"; - this.m_rhumbTabPage.Padding = new System.Windows.Forms.Padding(3); - this.m_rhumbTabPage.Size = new System.Drawing.Size(936, 236); - this.m_rhumbTabPage.TabIndex = 16; - this.m_rhumbTabPage.Text = "Rhumb"; - this.m_rhumbTabPage.UseVisualStyleBackColor = true; - // - // Form1 - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.ClientSize = new System.Drawing.Size(944, 262); - this.Controls.Add(this.m_tabControl); - this.Name = "Form1"; - this.Text = "Projections"; - this.m_tabControl.ResumeLayout(false); - this.ResumeLayout(false); - - } - - #endregion - - private System.Windows.Forms.TabControl m_tabControl; - private System.Windows.Forms.TabPage m_geodesicTabPage; - private System.Windows.Forms.TabPage m_geocentricTabPage; - private System.Windows.Forms.TabPage m_localCartesianPage; - private System.Windows.Forms.TabPage m_albersPage; - private System.Windows.Forms.TabPage m_typeIIProjections; - private System.Windows.Forms.TabPage m_polarStereoPage; - private System.Windows.Forms.TabPage m_sphericalPage; - private System.Windows.Forms.TabPage m_ellipticPage; - private System.Windows.Forms.TabPage m_ellipsoidPage; - private System.Windows.Forms.TabPage m_miscPage; - private System.Windows.Forms.TabPage m_geoidPage; - private System.Windows.Forms.TabPage m_typeIIIProjPage; - private System.Windows.Forms.TabPage m_gravityPage; - private System.Windows.Forms.TabPage m_magneticPage; - private System.Windows.Forms.TabPage m_polyPage; - private System.Windows.Forms.TabPage m_accumPage; - private System.Windows.Forms.TabPage m_rhumbTabPage; - - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.cs deleted file mode 100644 index 76a8d6bbc5b59e3a217587bc71610d46e871d6c7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.cs +++ /dev/null @@ -1,50 +0,0 @@ -/** - * \file NETGeographicLib\Form1.cs - * \brief Main Form for C# example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Data; -using System.Drawing; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class Form1 : Form - { - public Form1() - { - InitializeComponent(); - Text = "NETGeographicLib Demo - Version " + VersionInfo.GetString(); - - // set up the tab control - m_geodesicTabPage.Controls.Add(new GeodesicPanel()); - m_geocentricTabPage.Controls.Add(new GeocentricPanel()); - m_localCartesianPage.Controls.Add(new LocalCartesianPanel()); - m_albersPage.Controls.Add(new AlbersPanel()); - m_typeIIProjections.Controls.Add(new ProjectionsPanel()); - m_typeIIIProjPage.Controls.Add(new TypeIIIProjPanel()); - m_polarStereoPage.Controls.Add(new PolarStereoPanel()); - m_sphericalPage.Controls.Add(new SphericalHarmonicsPanel()); - m_ellipticPage.Controls.Add(new EllipticPanel()); - m_ellipsoidPage.Controls.Add(new EllipsoidPanel()); - m_miscPage.Controls.Add(new MiscPanel()); - m_geoidPage.Controls.Add(new GeoidPanel()); - m_gravityPage.Controls.Add(new GravityPanel()); - m_magneticPage.Controls.Add(new MagneticPanel()); - m_polyPage.Controls.Add(new PolyPanel()); - m_accumPage.Controls.Add(new AccumPanel()); - m_rhumbTabPage.Controls.Add(new RhumbPanel()); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.resx deleted file mode 100644 index ed0aef9346c39ab245aad1ccc01439f98d437d7e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Form1.resx +++ /dev/null @@ -1,120 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.Designer.cs deleted file mode 100644 index f077d36544cc5f2b8c8ff89a51ccf5ad01050235..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.Designer.cs +++ /dev/null @@ -1,426 +0,0 @@ -namespace Projections -{ - partial class GeocentricPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.m_setButton = new System.Windows.Forms.Button(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.groupBox1 = new System.Windows.Forms.GroupBox(); - this.m_flatteningTextBox = new System.Windows.Forms.TextBox(); - this.label1 = new System.Windows.Forms.Label(); - this.label2 = new System.Windows.Forms.Label(); - this.m_toolTips = new System.Windows.Forms.ToolTip(this.components); - this.label3 = new System.Windows.Forms.Label(); - this.label4 = new System.Windows.Forms.Label(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_altitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_XTextBox = new System.Windows.Forms.TextBox(); - this.m_YTextBox = new System.Windows.Forms.TextBox(); - this.m_ZTextBox = new System.Windows.Forms.TextBox(); - this.label9 = new System.Windows.Forms.Label(); - this.m_functionComboBox = new System.Windows.Forms.ComboBox(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.m_textBox00 = new System.Windows.Forms.TextBox(); - this.m_textBox01 = new System.Windows.Forms.TextBox(); - this.groupBox2 = new System.Windows.Forms.GroupBox(); - this.m_textBox02 = new System.Windows.Forms.TextBox(); - this.m_textBox12 = new System.Windows.Forms.TextBox(); - this.m_textBox10 = new System.Windows.Forms.TextBox(); - this.m_textBox11 = new System.Windows.Forms.TextBox(); - this.m_textBox22 = new System.Windows.Forms.TextBox(); - this.m_textBox20 = new System.Windows.Forms.TextBox(); - this.m_textBox21 = new System.Windows.Forms.TextBox(); - this.groupBox1.SuspendLayout(); - this.groupBox2.SuspendLayout(); - this.SuspendLayout(); - // - // m_setButton - // - this.m_setButton.Location = new System.Drawing.Point(12, 107); - this.m_setButton.Name = "m_setButton"; - this.m_setButton.Size = new System.Drawing.Size(75, 23); - this.m_setButton.TabIndex = 4; - this.m_setButton.Text = "Set"; - this.m_toolTips.SetToolTip(this.m_setButton, "Set ellipsoid parameters"); - this.m_setButton.UseVisualStyleBackColor = true; - this.m_setButton.Click += new System.EventHandler(this.OnSetParameters); - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(12, 42); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(125, 20); - this.m_equatorialRadiusTextBox.TabIndex = 2; - // - // groupBox1 - // - this.groupBox1.Controls.Add(this.m_setButton); - this.groupBox1.Controls.Add(this.m_flatteningTextBox); - this.groupBox1.Controls.Add(this.label1); - this.groupBox1.Controls.Add(this.m_equatorialRadiusTextBox); - this.groupBox1.Controls.Add(this.label2); - this.groupBox1.Location = new System.Drawing.Point(7, 7); - this.groupBox1.Name = "groupBox1"; - this.groupBox1.Size = new System.Drawing.Size(146, 140); - this.groupBox1.TabIndex = 5; - this.groupBox1.TabStop = false; - this.groupBox1.Text = "Ellipsoid Parameters"; - // - // m_flatteningTextBox - // - this.m_flatteningTextBox.Location = new System.Drawing.Point(12, 83); - this.m_flatteningTextBox.Name = "m_flatteningTextBox"; - this.m_flatteningTextBox.Size = new System.Drawing.Size(125, 20); - this.m_flatteningTextBox.TabIndex = 3; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(12, 25); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(109, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Equatorial Radius (meters)"; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(12, 66); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(53, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Flattening"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(166, 11); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(95, 13); - this.label3.TabIndex = 6; - this.label3.Text = "Latitude ( degrees)"; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(166, 38); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(101, 13); - this.label4.TabIndex = 7; - this.label4.Text = "Longitude (degrees)"; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(166, 65); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(82, 13); - this.label5.TabIndex = 8; - this.label5.Text = "Altitude (meters)"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(166, 92); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(54, 13); - this.label6.TabIndex = 9; - this.label6.Text = "X (meters)"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(166, 119); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(54, 13); - this.label7.TabIndex = 10; - this.label7.Text = "Y (meters)"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(166, 146); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(54, 13); - this.label8.TabIndex = 11; - this.label8.Text = "Z (meters)"; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(273, 7); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_latitudeTextBox.TabIndex = 12; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(273, 34); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_longitudeTextBox.TabIndex = 13; - // - // m_altitudeTextBox - // - this.m_altitudeTextBox.Location = new System.Drawing.Point(273, 61); - this.m_altitudeTextBox.Name = "m_altitudeTextBox"; - this.m_altitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_altitudeTextBox.TabIndex = 14; - // - // m_XTextBox - // - this.m_XTextBox.Location = new System.Drawing.Point(273, 88); - this.m_XTextBox.Name = "m_XTextBox"; - this.m_XTextBox.Size = new System.Drawing.Size(100, 20); - this.m_XTextBox.TabIndex = 15; - // - // m_YTextBox - // - this.m_YTextBox.Location = new System.Drawing.Point(273, 115); - this.m_YTextBox.Name = "m_YTextBox"; - this.m_YTextBox.Size = new System.Drawing.Size(100, 20); - this.m_YTextBox.TabIndex = 16; - // - // m_ZTextBox - // - this.m_ZTextBox.Location = new System.Drawing.Point(273, 142); - this.m_ZTextBox.Name = "m_ZTextBox"; - this.m_ZTextBox.Size = new System.Drawing.Size(100, 20); - this.m_ZTextBox.TabIndex = 17; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(169, 175); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(48, 13); - this.label9.TabIndex = 18; - this.label9.Text = "Function"; - // - // m_functionComboBox - // - this.m_functionComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_functionComboBox.FormattingEnabled = true; - this.m_functionComboBox.Items.AddRange(new object[] { - "Forward", - "Reverse"}); - this.m_functionComboBox.Location = new System.Drawing.Point(273, 171); - this.m_functionComboBox.Name = "m_functionComboBox"; - this.m_functionComboBox.Size = new System.Drawing.Size(100, 21); - this.m_functionComboBox.TabIndex = 19; - this.m_toolTips.SetToolTip(this.m_functionComboBox, "Forward/Reverse"); - this.m_functionComboBox.SelectedIndexChanged += new System.EventHandler(this.OnFunctionChanged); - // - // button1 - // - this.button1.Location = new System.Drawing.Point(386, 169); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 20; - this.button1.Text = "Convert"; - this.m_toolTips.SetToolTip(this.button1, "Converts the coordinates using the selected Function"); - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnConvert); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(7, 170); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 21; - this.button2.Text = "Validate"; - this.m_toolTips.SetToolTip(this.button2, "Tests Geocentric interfaces"); - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnValidate); - // - // m_textBox00 - // - this.m_textBox00.Location = new System.Drawing.Point(6, 25); - this.m_textBox00.Name = "m_textBox00"; - this.m_textBox00.ReadOnly = true; - this.m_textBox00.Size = new System.Drawing.Size(100, 20); - this.m_textBox00.TabIndex = 22; - // - // m_textBox01 - // - this.m_textBox01.Location = new System.Drawing.Point(112, 25); - this.m_textBox01.Name = "m_textBox01"; - this.m_textBox01.ReadOnly = true; - this.m_textBox01.Size = new System.Drawing.Size(100, 20); - this.m_textBox01.TabIndex = 23; - // - // groupBox2 - // - this.groupBox2.Controls.Add(this.m_textBox22); - this.groupBox2.Controls.Add(this.m_textBox20); - this.groupBox2.Controls.Add(this.m_textBox21); - this.groupBox2.Controls.Add(this.m_textBox12); - this.groupBox2.Controls.Add(this.m_textBox10); - this.groupBox2.Controls.Add(this.m_textBox11); - this.groupBox2.Controls.Add(this.m_textBox02); - this.groupBox2.Controls.Add(this.m_textBox00); - this.groupBox2.Controls.Add(this.m_textBox01); - this.groupBox2.Location = new System.Drawing.Point(380, 11); - this.groupBox2.Name = "groupBox2"; - this.groupBox2.Size = new System.Drawing.Size(325, 99); - this.groupBox2.TabIndex = 24; - this.groupBox2.TabStop = false; - this.groupBox2.Text = "Rotation Matrix - ENU to ECEF"; - // - // m_textBox02 - // - this.m_textBox02.Location = new System.Drawing.Point(218, 25); - this.m_textBox02.Name = "m_textBox02"; - this.m_textBox02.ReadOnly = true; - this.m_textBox02.Size = new System.Drawing.Size(100, 20); - this.m_textBox02.TabIndex = 24; - // - // m_textBox12 - // - this.m_textBox12.Location = new System.Drawing.Point(218, 50); - this.m_textBox12.Name = "m_textBox12"; - this.m_textBox12.ReadOnly = true; - this.m_textBox12.Size = new System.Drawing.Size(100, 20); - this.m_textBox12.TabIndex = 27; - // - // m_textBox10 - // - this.m_textBox10.Location = new System.Drawing.Point(6, 50); - this.m_textBox10.Name = "m_textBox10"; - this.m_textBox10.ReadOnly = true; - this.m_textBox10.Size = new System.Drawing.Size(100, 20); - this.m_textBox10.TabIndex = 25; - // - // m_textBox11 - // - this.m_textBox11.Location = new System.Drawing.Point(112, 50); - this.m_textBox11.Name = "m_textBox11"; - this.m_textBox11.ReadOnly = true; - this.m_textBox11.Size = new System.Drawing.Size(100, 20); - this.m_textBox11.TabIndex = 26; - // - // m_textBox22 - // - this.m_textBox22.Location = new System.Drawing.Point(218, 74); - this.m_textBox22.Name = "m_textBox22"; - this.m_textBox22.ReadOnly = true; - this.m_textBox22.Size = new System.Drawing.Size(100, 20); - this.m_textBox22.TabIndex = 30; - // - // m_textBox20 - // - this.m_textBox20.Location = new System.Drawing.Point(6, 74); - this.m_textBox20.Name = "m_textBox20"; - this.m_textBox20.ReadOnly = true; - this.m_textBox20.Size = new System.Drawing.Size(100, 20); - this.m_textBox20.TabIndex = 28; - // - // m_textBox21 - // - this.m_textBox21.Location = new System.Drawing.Point(112, 74); - this.m_textBox21.Name = "m_textBox21"; - this.m_textBox21.ReadOnly = true; - this.m_textBox21.Size = new System.Drawing.Size(100, 20); - this.m_textBox21.TabIndex = 29; - // - // GeocentricPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.groupBox2); - this.Controls.Add(this.button2); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_functionComboBox); - this.Controls.Add(this.label9); - this.Controls.Add(this.m_ZTextBox); - this.Controls.Add(this.m_YTextBox); - this.Controls.Add(this.m_XTextBox); - this.Controls.Add(this.m_altitudeTextBox); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.label4); - this.Controls.Add(this.label3); - this.Controls.Add(this.groupBox1); - this.Name = "GeocentricPanel"; - this.Size = new System.Drawing.Size(771, 231); - this.groupBox1.ResumeLayout(false); - this.groupBox1.PerformLayout(); - this.groupBox2.ResumeLayout(false); - this.groupBox2.PerformLayout(); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.Button m_setButton; - private System.Windows.Forms.ToolTip m_toolTips; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.GroupBox groupBox1; - private System.Windows.Forms.TextBox m_flatteningTextBox; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.TextBox m_altitudeTextBox; - private System.Windows.Forms.TextBox m_XTextBox; - private System.Windows.Forms.TextBox m_YTextBox; - private System.Windows.Forms.TextBox m_ZTextBox; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.ComboBox m_functionComboBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.TextBox m_textBox00; - private System.Windows.Forms.TextBox m_textBox01; - private System.Windows.Forms.GroupBox groupBox2; - private System.Windows.Forms.TextBox m_textBox22; - private System.Windows.Forms.TextBox m_textBox20; - private System.Windows.Forms.TextBox m_textBox21; - private System.Windows.Forms.TextBox m_textBox12; - private System.Windows.Forms.TextBox m_textBox10; - private System.Windows.Forms.TextBox m_textBox11; - private System.Windows.Forms.TextBox m_textBox02; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.cs deleted file mode 100644 index 041825a5a0a328dbd8db69e0c744d046084e170b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.cs +++ /dev/null @@ -1,150 +0,0 @@ -/** - * \file NETGeographicLib\GeocentricPanel.cs - * \brief NETGeographicLib.Geocentric example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class GeocentricPanel : UserControl - { - enum Functions - { - Forward, - Inverse - }; - Functions m_function = Functions.Forward; - Geocentric m_geocentric = null; - - public GeocentricPanel() - { - InitializeComponent(); - - try - { - m_geocentric = new Geocentric(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - m_majorRadiusTextBox.Text = m_geocentric.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = m_geocentric.Flattening.ToString(); - m_functionComboBox.SelectedIndex = (int)m_function; - } - - private void OnSetParameters(object sender, EventArgs e) - { - try - { - double a = Double.Parse( m_majorRadiusTextBox.Text ); - double f = Double.Parse(m_flatteningTextBox.Text); - m_geocentric = new Geocentric(a, f); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Data entry error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - } - - private void OnFunctionChanged(object sender, EventArgs e) - { - m_function = (Functions)m_functionComboBox.SelectedIndex; - switch (m_function) - { - case Functions.Forward: - m_latitudeTextBox.ReadOnly = m_longitudeTextBox.ReadOnly = m_altitudeTextBox.ReadOnly = false; - m_XTextBox.ReadOnly = m_YTextBox.ReadOnly = m_ZTextBox.ReadOnly = true; - break; - case Functions.Inverse: - m_latitudeTextBox.ReadOnly = m_longitudeTextBox.ReadOnly = m_altitudeTextBox.ReadOnly = true; - m_XTextBox.ReadOnly = m_YTextBox.ReadOnly = m_ZTextBox.ReadOnly = false; - break; - } - } - - private void OnConvert(object sender, EventArgs e) - { - try - { - double lat, lon, alt, x, y, z; - double[,] rot = null; - switch (m_function) - { - case Functions.Forward: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - alt = Double.Parse(m_altitudeTextBox.Text); - m_geocentric.Forward(lat, lon, alt, out x, out y, out z, out rot); - m_XTextBox.Text = x.ToString(); - m_YTextBox.Text = y.ToString(); - m_ZTextBox.Text = z.ToString(); - break; - case Functions.Inverse: - x = Double.Parse(m_XTextBox.Text); - y = Double.Parse(m_YTextBox.Text); - z = Double.Parse(m_ZTextBox.Text); - m_geocentric.Reverse(x, y, z, out lat, out lon, out alt, out rot); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - m_altitudeTextBox.Text = alt.ToString(); - break; - } - m_textBox00.Text = rot[0, 0].ToString(); - m_textBox01.Text = rot[0, 1].ToString(); - m_textBox02.Text = rot[0, 2].ToString(); - m_textBox10.Text = rot[1, 0].ToString(); - m_textBox11.Text = rot[1, 1].ToString(); - m_textBox12.Text = rot[1, 2].ToString(); - m_textBox20.Text = rot[2, 0].ToString(); - m_textBox21.Text = rot[2, 1].ToString(); - m_textBox22.Text = rot[2, 2].ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - Geocentric g = new Geocentric(); - string test = g.ToString(); - g = new Geocentric(g.EquatorialRadius, g.Flattening); - double x, y, z, lat, lon, alt, tx, ty, tz; - double[,] rot; - g.Forward(32.0, -86.0, 45.0, out x, out y, out z, out rot); - g.Forward(32.0, -86.0, 45.0, out tx, out ty, out tz); - if (x != tx || y != ty || z != tz) - throw new Exception("Error in Forward"); - g.Reverse(x, y, z, out lat, out lon, out alt, out rot); - g.Reverse(x, y, z, out tx, out ty, out tz); - if ( lat != tx || lon != ty || alt != tz ) - throw new Exception("Error in Reverse"); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error detected", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.resx deleted file mode 100644 index a34b31bc47c3183392c260fbd629f7a5889b0150..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeocentricPanel.resx +++ /dev/null @@ -1,126 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.Designer.cs deleted file mode 100644 index 39c95319ed71627cd5bf6556eb4488e80e302117..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.Designer.cs +++ /dev/null @@ -1,484 +0,0 @@ -namespace Projections -{ - partial class GeodesicPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.label1 = new System.Windows.Forms.Label(); - this.label2 = new System.Windows.Forms.Label(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.m_flatteningTextBox = new System.Windows.Forms.TextBox(); - this.groupBox1 = new System.Windows.Forms.GroupBox(); - this.m_setButton = new System.Windows.Forms.Button(); - this.button1 = new System.Windows.Forms.Button(); - this.label3 = new System.Windows.Forms.Label(); - this.label4 = new System.Windows.Forms.Label(); - this.label5 = new System.Windows.Forms.Label(); - this.m_distanceRadioButton = new System.Windows.Forms.RadioButton(); - this.m_arcLengthRadioButton = new System.Windows.Forms.RadioButton(); - this.m_originLatitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_originLongitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_originAzimuthTextBox = new System.Windows.Forms.TextBox(); - this.m_distanceTextBox = new System.Windows.Forms.TextBox(); - this.m_ArcLengthTextBox = new System.Windows.Forms.TextBox(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.m12Label = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.m_finalLatitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_finalLongitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_finalAzimuthTextBox = new System.Windows.Forms.TextBox(); - this.m_reducedLengthTextBox = new System.Windows.Forms.TextBox(); - this.m_M12TextBox = new System.Windows.Forms.TextBox(); - this.m_M21TextBox = new System.Windows.Forms.TextBox(); - this.m_S12TextBox = new System.Windows.Forms.TextBox(); - this.m_functionComboBox = new System.Windows.Forms.ComboBox(); - this.FunctionLabel = new System.Windows.Forms.Label(); - this.m_classComboBox = new System.Windows.Forms.ComboBox(); - this.label12 = new System.Windows.Forms.Label(); - this.m_tooltips = new System.Windows.Forms.ToolTip(this.components); - this.m_validateButton = new System.Windows.Forms.Button(); - this.groupBox1.SuspendLayout(); - this.SuspendLayout(); - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(14, 25); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(109, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Equatorial Radius (meters)"; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(14, 51); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(53, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Flattening"; - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(129, 21); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(125, 20); - this.m_equatorialRadiusTextBox.TabIndex = 2; - // - // m_flatteningTextBox - // - this.m_flatteningTextBox.Location = new System.Drawing.Point(129, 47); - this.m_flatteningTextBox.Name = "m_flatteningTextBox"; - this.m_flatteningTextBox.Size = new System.Drawing.Size(125, 20); - this.m_flatteningTextBox.TabIndex = 3; - // - // groupBox1 - // - this.groupBox1.Controls.Add(this.m_setButton); - this.groupBox1.Controls.Add(this.m_flatteningTextBox); - this.groupBox1.Controls.Add(this.label1); - this.groupBox1.Controls.Add(this.m_equatorialRadiusTextBox); - this.groupBox1.Controls.Add(this.label2); - this.groupBox1.Location = new System.Drawing.Point(4, 4); - this.groupBox1.Name = "groupBox1"; - this.groupBox1.Size = new System.Drawing.Size(267, 107); - this.groupBox1.TabIndex = 4; - this.groupBox1.TabStop = false; - this.groupBox1.Text = "Ellipsoid Parameters"; - // - // m_setButton - // - this.m_setButton.Location = new System.Drawing.Point(176, 74); - this.m_setButton.Name = "m_setButton"; - this.m_setButton.Size = new System.Drawing.Size(75, 23); - this.m_setButton.TabIndex = 4; - this.m_setButton.Text = "Set"; - this.m_setButton.UseVisualStyleBackColor = true; - this.m_setButton.Click += new System.EventHandler(this.OnSet); - // - // button1 - // - this.button1.Location = new System.Drawing.Point(183, 143); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 5; - this.button1.Text = "Execute"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Enter += new System.EventHandler(this.OnForward); - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(279, 14); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(122, 13); - this.label3.TabIndex = 6; - this.label3.Text = "Origin Latitude (degrees)"; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(279, 41); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(131, 13); - this.label4.TabIndex = 7; - this.label4.Text = "Origin Longitude (degrees)"; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(279, 68); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(121, 13); - this.label5.TabIndex = 8; - this.label5.Text = "Origin Azimuth (degrees)"; - // - // m_distanceRadioButton - // - this.m_distanceRadioButton.AutoSize = true; - this.m_distanceRadioButton.Checked = true; - this.m_distanceRadioButton.Location = new System.Drawing.Point(279, 93); - this.m_distanceRadioButton.Name = "m_distanceRadioButton"; - this.m_distanceRadioButton.Size = new System.Drawing.Size(107, 17); - this.m_distanceRadioButton.TabIndex = 9; - this.m_distanceRadioButton.TabStop = true; - this.m_distanceRadioButton.Text = "Distance (meters)"; - this.m_distanceRadioButton.UseVisualStyleBackColor = true; - this.m_distanceRadioButton.Click += new System.EventHandler(this.OnDistance); - // - // m_arcLengthRadioButton - // - this.m_arcLengthRadioButton.AutoSize = true; - this.m_arcLengthRadioButton.Location = new System.Drawing.Point(279, 120); - this.m_arcLengthRadioButton.Name = "m_arcLengthRadioButton"; - this.m_arcLengthRadioButton.Size = new System.Drawing.Size(124, 17); - this.m_arcLengthRadioButton.TabIndex = 10; - this.m_arcLengthRadioButton.Text = "Arc Length (degrees)"; - this.m_arcLengthRadioButton.UseVisualStyleBackColor = true; - this.m_arcLengthRadioButton.Click += new System.EventHandler(this.OnArcLength); - // - // m_originLatitudeTextBox - // - this.m_originLatitudeTextBox.Location = new System.Drawing.Point(416, 10); - this.m_originLatitudeTextBox.Name = "m_originLatitudeTextBox"; - this.m_originLatitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_originLatitudeTextBox.TabIndex = 11; - // - // m_originLongitudeTextBox - // - this.m_originLongitudeTextBox.Location = new System.Drawing.Point(416, 37); - this.m_originLongitudeTextBox.Name = "m_originLongitudeTextBox"; - this.m_originLongitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_originLongitudeTextBox.TabIndex = 12; - // - // m_originAzimuthTextBox - // - this.m_originAzimuthTextBox.Location = new System.Drawing.Point(416, 64); - this.m_originAzimuthTextBox.Name = "m_originAzimuthTextBox"; - this.m_originAzimuthTextBox.Size = new System.Drawing.Size(100, 20); - this.m_originAzimuthTextBox.TabIndex = 13; - // - // m_distanceTextBox - // - this.m_distanceTextBox.Location = new System.Drawing.Point(416, 91); - this.m_distanceTextBox.Name = "m_distanceTextBox"; - this.m_distanceTextBox.Size = new System.Drawing.Size(100, 20); - this.m_distanceTextBox.TabIndex = 14; - // - // m_ArcLengthTextBox - // - this.m_ArcLengthTextBox.Location = new System.Drawing.Point(416, 118); - this.m_ArcLengthTextBox.Name = "m_ArcLengthTextBox"; - this.m_ArcLengthTextBox.ReadOnly = true; - this.m_ArcLengthTextBox.Size = new System.Drawing.Size(100, 20); - this.m_ArcLengthTextBox.TabIndex = 15; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(525, 14); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(117, 13); - this.label6.TabIndex = 16; - this.label6.Text = "Final Latitude (degrees)"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(525, 41); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(126, 13); - this.label7.TabIndex = 17; - this.label7.Text = "Final Longitude (degrees)"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(525, 68); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(116, 13); - this.label8.TabIndex = 18; - this.label8.Text = "Final Azimuth (degrees)"; - // - // m12Label - // - this.m12Label.AutoSize = true; - this.m12Label.Location = new System.Drawing.Point(525, 95); - this.m12Label.Name = "m12Label"; - this.m12Label.Size = new System.Drawing.Size(127, 13); - this.m12Label.TabIndex = 19; - this.m12Label.Text = "Reduced Length (meters)"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(525, 122); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(28, 13); - this.label9.TabIndex = 20; - this.label9.Text = "M12"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(525, 149); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(28, 13); - this.label10.TabIndex = 21; - this.label10.Text = "M21"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(525, 176); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(26, 13); - this.label11.TabIndex = 22; - this.label11.Text = "S12"; - // - // m_finalLatitudeTextBox - // - this.m_finalLatitudeTextBox.Location = new System.Drawing.Point(660, 10); - this.m_finalLatitudeTextBox.Name = "m_finalLatitudeTextBox"; - this.m_finalLatitudeTextBox.ReadOnly = true; - this.m_finalLatitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_finalLatitudeTextBox.TabIndex = 23; - // - // m_finalLongitudeTextBox - // - this.m_finalLongitudeTextBox.Location = new System.Drawing.Point(660, 37); - this.m_finalLongitudeTextBox.Name = "m_finalLongitudeTextBox"; - this.m_finalLongitudeTextBox.ReadOnly = true; - this.m_finalLongitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_finalLongitudeTextBox.TabIndex = 24; - // - // m_finalAzimuthTextBox - // - this.m_finalAzimuthTextBox.Location = new System.Drawing.Point(660, 64); - this.m_finalAzimuthTextBox.Name = "m_finalAzimuthTextBox"; - this.m_finalAzimuthTextBox.ReadOnly = true; - this.m_finalAzimuthTextBox.Size = new System.Drawing.Size(100, 20); - this.m_finalAzimuthTextBox.TabIndex = 25; - // - // m_reducedLengthTextBox - // - this.m_reducedLengthTextBox.Location = new System.Drawing.Point(660, 91); - this.m_reducedLengthTextBox.Name = "m_reducedLengthTextBox"; - this.m_reducedLengthTextBox.ReadOnly = true; - this.m_reducedLengthTextBox.Size = new System.Drawing.Size(100, 20); - this.m_reducedLengthTextBox.TabIndex = 26; - // - // m_M12TextBox - // - this.m_M12TextBox.Location = new System.Drawing.Point(660, 118); - this.m_M12TextBox.Name = "m_M12TextBox"; - this.m_M12TextBox.ReadOnly = true; - this.m_M12TextBox.Size = new System.Drawing.Size(100, 20); - this.m_M12TextBox.TabIndex = 27; - // - // m_M21TextBox - // - this.m_M21TextBox.Location = new System.Drawing.Point(660, 145); - this.m_M21TextBox.Name = "m_M21TextBox"; - this.m_M21TextBox.ReadOnly = true; - this.m_M21TextBox.Size = new System.Drawing.Size(100, 20); - this.m_M21TextBox.TabIndex = 28; - // - // m_S12TextBox - // - this.m_S12TextBox.Location = new System.Drawing.Point(660, 172); - this.m_S12TextBox.Name = "m_S12TextBox"; - this.m_S12TextBox.ReadOnly = true; - this.m_S12TextBox.Size = new System.Drawing.Size(100, 20); - this.m_S12TextBox.TabIndex = 29; - // - // m_functionComboBox - // - this.m_functionComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_functionComboBox.FormattingEnabled = true; - this.m_functionComboBox.Items.AddRange(new object[] { - "Direct", - "Inverse"}); - this.m_functionComboBox.Location = new System.Drawing.Point(416, 145); - this.m_functionComboBox.Name = "m_functionComboBox"; - this.m_functionComboBox.Size = new System.Drawing.Size(100, 21); - this.m_functionComboBox.TabIndex = 30; - this.m_functionComboBox.SelectedIndexChanged += new System.EventHandler(this.OnFunction); - // - // FunctionLabel - // - this.FunctionLabel.AutoSize = true; - this.FunctionLabel.Location = new System.Drawing.Point(282, 149); - this.FunctionLabel.Name = "FunctionLabel"; - this.FunctionLabel.Size = new System.Drawing.Size(48, 13); - this.FunctionLabel.TabIndex = 31; - this.FunctionLabel.Text = "Function"; - // - // m_classComboBox - // - this.m_classComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_classComboBox.FormattingEnabled = true; - this.m_classComboBox.Items.AddRange(new object[] { - "Geodesic", - "GeodesicExact", - "GeodesicLine", - "GeodesicLineExact"}); - this.m_classComboBox.Location = new System.Drawing.Point(395, 172); - this.m_classComboBox.Name = "m_classComboBox"; - this.m_classComboBox.Size = new System.Drawing.Size(121, 21); - this.m_classComboBox.TabIndex = 32; - this.m_classComboBox.SelectedIndexChanged += new System.EventHandler(this.OnClassChanged); - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(282, 176); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(32, 13); - this.label12.TabIndex = 33; - this.label12.Text = "Class"; - // - // m_validateButton - // - this.m_validateButton.Location = new System.Drawing.Point(21, 143); - this.m_validateButton.Name = "m_validateButton"; - this.m_validateButton.Size = new System.Drawing.Size(75, 23); - this.m_validateButton.TabIndex = 34; - this.m_validateButton.Text = "Validate"; - this.m_validateButton.UseVisualStyleBackColor = true; - this.m_validateButton.Click += new System.EventHandler(this.OnValidate); - // - // GeodesicPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.m_validateButton); - this.Controls.Add(this.label12); - this.Controls.Add(this.m_classComboBox); - this.Controls.Add(this.FunctionLabel); - this.Controls.Add(this.m_functionComboBox); - this.Controls.Add(this.m_S12TextBox); - this.Controls.Add(this.m_M21TextBox); - this.Controls.Add(this.m_M12TextBox); - this.Controls.Add(this.m_reducedLengthTextBox); - this.Controls.Add(this.m_finalAzimuthTextBox); - this.Controls.Add(this.m_finalLongitudeTextBox); - this.Controls.Add(this.m_finalLatitudeTextBox); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.m12Label); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.m_ArcLengthTextBox); - this.Controls.Add(this.m_distanceTextBox); - this.Controls.Add(this.m_originAzimuthTextBox); - this.Controls.Add(this.m_originLongitudeTextBox); - this.Controls.Add(this.m_originLatitudeTextBox); - this.Controls.Add(this.m_arcLengthRadioButton); - this.Controls.Add(this.m_distanceRadioButton); - this.Controls.Add(this.label5); - this.Controls.Add(this.label4); - this.Controls.Add(this.label3); - this.Controls.Add(this.button1); - this.Controls.Add(this.groupBox1); - this.Name = "GeodesicPanel"; - this.Size = new System.Drawing.Size(794, 220); - this.groupBox1.ResumeLayout(false); - this.groupBox1.PerformLayout(); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.Label label1; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.TextBox m_flatteningTextBox; - private System.Windows.Forms.GroupBox groupBox1; - private System.Windows.Forms.Button m_setButton; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.RadioButton m_distanceRadioButton; - private System.Windows.Forms.RadioButton m_arcLengthRadioButton; - private System.Windows.Forms.TextBox m_originLatitudeTextBox; - private System.Windows.Forms.TextBox m_originLongitudeTextBox; - private System.Windows.Forms.TextBox m_originAzimuthTextBox; - private System.Windows.Forms.TextBox m_distanceTextBox; - private System.Windows.Forms.TextBox m_ArcLengthTextBox; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label m12Label; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.TextBox m_finalLatitudeTextBox; - private System.Windows.Forms.TextBox m_finalLongitudeTextBox; - private System.Windows.Forms.TextBox m_finalAzimuthTextBox; - private System.Windows.Forms.TextBox m_reducedLengthTextBox; - private System.Windows.Forms.TextBox m_M12TextBox; - private System.Windows.Forms.TextBox m_M21TextBox; - private System.Windows.Forms.TextBox m_S12TextBox; - private System.Windows.Forms.ComboBox m_functionComboBox; - private System.Windows.Forms.Label FunctionLabel; - private System.Windows.Forms.ComboBox m_classComboBox; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.ToolTip m_tooltips; - private System.Windows.Forms.Button m_validateButton; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.cs deleted file mode 100644 index 92dbb826ee432e6b63dce35d0bd396ea8aa8f8dd..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.cs +++ /dev/null @@ -1,639 +0,0 @@ -/** - * \file NETGeographicLib\GeodesicPanel.cs - * \brief NETGeographicLib.Geodesic example - * - * NETGeographicLib.Geodesic, - * NETGeographicLib.GeodesicLine, - * NETGeographicLib.GeodesicExact, - * NETGeographicLib.GeodesicLineExact - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class GeodesicPanel : UserControl - { - public string warning = "GeographicLib Error"; - public string warning2 = "Data Conversion Error"; - - enum Function - { - Direct = 0, - Inverse = 1 - }; - Function m_function = Function.Direct; - - enum Variable - { - Distance = 0, - ArcLength = 2 - }; - Variable m_variable = Variable.Distance; - - enum Classes - { - GEODESIC = 0, - GEODESICEXACT= 1, - GEODESICLINE = 2, - GEODESICLINEEXACT = 3 - }; - Classes m_class = Classes.GEODESIC; - - Geodesic m_geodesic = null; - - public GeodesicPanel() - { - InitializeComponent(); - m_tooltips.SetToolTip(button1, "Performs the selected function with the selected class"); - m_tooltips.SetToolTip(m_setButton, "Sets the ellipsoid attributes"); - m_tooltips.SetToolTip(m_validateButton, "Validates Geodesic, GeodesicExact, GeodesicLine, and GeodesicLineExact interfaces"); - try - { - m_geodesic = new Geodesic(); - } - catch (GeographicErr err) - { - MessageBox.Show(err.Message, warning, MessageBoxButtons.OK, MessageBoxIcon.Error); - } - - m_equatorialRadiusTextBox.Text = m_geodesic.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = m_geodesic.Flattening.ToString(); - m_functionComboBox.SelectedIndex = 0; - m_classComboBox.SelectedIndex = 0; - } - - // gets the equatorial radius and flattening and creates a new Geodesic - private void OnSet(object sender, EventArgs e) - { - try - { - double radius = Double.Parse(m_equatorialRadiusTextBox.Text); - double flattening = Double.Parse(m_flatteningTextBox.Text); - m_geodesic = new Geodesic(radius, flattening); - } - catch (GeographicErr err) - { - MessageBox.Show(err.Message, warning, MessageBoxButtons.OK, MessageBoxIcon.Error); - } - catch (Exception err2) - { - MessageBox.Show(err2.Message, warning2, MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - // Gets the input parameters and calls the appropriate function - private void OnForward(object sender, EventArgs e) - { - double origLatitude = 0.0, origLongitude = 0.0, origAzimuth = 0.0, - distance = 0.0, finalLatitude = 0.0, finalLongitude = 0.0; - // get & validate inputs - try - { - if ( m_function == Function.Direct ) - { - distance = Double.Parse( m_variable == Variable.Distance ? - m_distanceTextBox.Text : m_ArcLengthTextBox.Text ); - origAzimuth = Double.Parse( m_originAzimuthTextBox.Text ); - if ( origAzimuth < -180.0 || origAzimuth > 180.0 ) - { - m_originAzimuthTextBox.Focus(); - throw new Exception( "Range Error: -180 <= initial azimuth <= 180 degrees" ); - } - } - else - { - finalLatitude = Double.Parse( m_finalLatitudeTextBox.Text ); - if (finalLatitude < -90.0 || finalLatitude > 90.0) - { - m_finalLatitudeTextBox.Focus(); - throw new Exception("Range Error: -90 <= final latitude <= 90 degrees"); - } - finalLongitude = Double.Parse( m_finalLongitudeTextBox.Text ); - if (finalLongitude < -540.0 || finalLongitude > 540.0) - { - m_finalLongitudeTextBox.Focus(); - throw new Exception("Range Error: -540 <= final longitude <= 540 degrees"); - } - } - origLatitude = Double.Parse( m_originLatitudeTextBox.Text ); - if (origLatitude < -90.0 || origLatitude > 90.0) - { - m_originLatitudeTextBox.Focus(); - throw new Exception("Range Error: -90 <= initial latitude <= 90 degrees"); - } - origLongitude = Double.Parse(m_originLongitudeTextBox.Text); - if (origLongitude < -540.0 || origLongitude > 540.0) - { - m_originLongitudeTextBox.Focus(); - throw new Exception("Range Error: -540 <= initial longitude <= 540 degrees"); - } - } - catch ( Exception xcpt ) - { - MessageBox.Show(xcpt.Message, warning2, MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - - // excute the appropriate function. - double finalAzimuth = 0.0, reducedLength = 0.0, M12 = 0.0, M21 = 0.0, - S12 = 0.0, arcDistance = 0.0; - int sw = (int)m_function | (int)m_variable; - if (sw == 3) sw = 1; // cases 1 & 3 are identical. - try - { - switch (m_class) - { - case Classes.GEODESIC: - switch (sw) - { - case 0: // function == Direct, variable == distance - m_ArcLengthTextBox.Text = - m_geodesic.Direct(origLatitude, origLongitude, origAzimuth, distance, - out finalLatitude, out finalLongitude, out finalAzimuth, out reducedLength, - out M12, out M21, out S12).ToString(); - m_finalLatitudeTextBox.Text = finalLatitude.ToString(); - m_finalLongitudeTextBox.Text = finalLongitude.ToString(); - break; - case 1: // function == Inverse, variable == distance - m_ArcLengthTextBox.Text = - m_geodesic.Inverse(origLatitude, origLongitude, finalLatitude, finalLongitude, - out distance, out origAzimuth, out finalAzimuth, out reducedLength, out M12, - out M21, out S12).ToString(); - m_distanceTextBox.Text = distance.ToString(); - m_originAzimuthTextBox.Text = origAzimuth.ToString(); - break; - case 2: // function == Direct, variable == arc length - m_geodesic.ArcDirect(origLatitude, origLongitude, origAzimuth, distance, - out finalLatitude, out finalLongitude, out finalAzimuth, out arcDistance, - out reducedLength, out M12, out M21, out S12); - m_distanceTextBox.Text = arcDistance.ToString(); - m_finalLatitudeTextBox.Text = finalLatitude.ToString(); - m_finalLongitudeTextBox.Text = finalLongitude.ToString(); - break; - } - m_finalAzimuthTextBox.Text = finalAzimuth.ToString(); - m_reducedLengthTextBox.Text = reducedLength.ToString(); - m_M12TextBox.Text = M12.ToString(); - m_M21TextBox.Text = M21.ToString(); - m_S12TextBox.Text = S12.ToString(); - break; - case Classes.GEODESICEXACT: - GeodesicExact ge = new GeodesicExact(m_geodesic.EquatorialRadius, m_geodesic.Flattening); - switch (sw) - { - case 0: // function == Direct, variable == distance - m_ArcLengthTextBox.Text = - ge.Direct(origLatitude, origLongitude, origAzimuth, distance, - out finalLatitude, out finalLongitude, out finalAzimuth, out reducedLength, - out M12, out M21, out S12).ToString(); - m_finalLatitudeTextBox.Text = finalLatitude.ToString(); - m_finalLongitudeTextBox.Text = finalLongitude.ToString(); - break; - case 1: // function == Inverse, variable == distance - m_ArcLengthTextBox.Text = - ge.Inverse(origLatitude, origLongitude, finalLatitude, finalLongitude, - out distance, out origAzimuth, out finalAzimuth, out reducedLength, out M12, - out M21, out S12).ToString(); - m_distanceTextBox.Text = distance.ToString(); - m_originAzimuthTextBox.Text = origAzimuth.ToString(); - break; - case 2: // function == Direct, variable == arc length - ge.ArcDirect(origLatitude, origLongitude, origAzimuth, distance, - out finalLatitude, out finalLongitude, out finalAzimuth, out arcDistance, - out reducedLength, out M12, out M21, out S12); - m_distanceTextBox.Text = arcDistance.ToString(); - m_finalLatitudeTextBox.Text = finalLatitude.ToString(); - m_finalLongitudeTextBox.Text = finalLongitude.ToString(); - break; - } - m_finalAzimuthTextBox.Text = finalAzimuth.ToString(); - m_reducedLengthTextBox.Text = reducedLength.ToString(); - m_M12TextBox.Text = M12.ToString(); - m_M21TextBox.Text = M21.ToString(); - m_S12TextBox.Text = S12.ToString(); - break; - case Classes.GEODESICLINE: - GeodesicLine gl = new GeodesicLine(m_geodesic, origLatitude, origLongitude, origAzimuth, Mask.ALL); - switch (sw) - { - case 0: // function == Direct, variable == distance - m_ArcLengthTextBox.Text = - gl.Position(distance, - out finalLatitude, out finalLongitude, out finalAzimuth, out reducedLength, - out M12, out M21, out S12).ToString(); - m_finalLatitudeTextBox.Text = finalLatitude.ToString(); - m_finalLongitudeTextBox.Text = finalLongitude.ToString(); - break; - case 1: // function == Inverse, variable == distance - throw new Exception("GeodesicLine does not have an Inverse function"); - case 2: // function == Direct, variable == arc length - gl.ArcPosition(distance, - out finalLatitude, out finalLongitude, out finalAzimuth, out arcDistance, - out reducedLength, out M12, out M21, out S12); - m_distanceTextBox.Text = arcDistance.ToString(); - m_finalLatitudeTextBox.Text = finalLatitude.ToString(); - m_finalLongitudeTextBox.Text = finalLongitude.ToString(); - break; - } - m_finalAzimuthTextBox.Text = finalAzimuth.ToString(); - m_reducedLengthTextBox.Text = reducedLength.ToString(); - m_M12TextBox.Text = M12.ToString(); - m_M21TextBox.Text = M21.ToString(); - m_S12TextBox.Text = S12.ToString(); - break; - case Classes.GEODESICLINEEXACT: - GeodesicLineExact gle = new GeodesicLineExact(origLatitude, origLongitude, origAzimuth, Mask.ALL); - switch (sw) - { - case 0: // function == Direct, variable == distance - m_ArcLengthTextBox.Text = - gle.Position(distance, - out finalLatitude, out finalLongitude, out finalAzimuth, out reducedLength, - out M12, out M21, out S12).ToString(); - m_finalLatitudeTextBox.Text = finalLatitude.ToString(); - m_finalLongitudeTextBox.Text = finalLongitude.ToString(); - break; - case 1: // function == Inverse, variable == distance - throw new Exception("GeodesicLineExact does not have an Inverse function"); - case 2: // function == Direct, variable == arc length - gle.ArcPosition(distance, - out finalLatitude, out finalLongitude, out finalAzimuth, out arcDistance, - out reducedLength, out M12, out M21, out S12); - m_distanceTextBox.Text = arcDistance.ToString(); - m_finalLatitudeTextBox.Text = finalLatitude.ToString(); - m_finalLongitudeTextBox.Text = finalLongitude.ToString(); - break; - } - m_finalAzimuthTextBox.Text = finalAzimuth.ToString(); - m_reducedLengthTextBox.Text = reducedLength.ToString(); - m_M12TextBox.Text = M12.ToString(); - m_M21TextBox.Text = M21.ToString(); - m_S12TextBox.Text = S12.ToString(); - break; - } - } - catch (Exception err) - { - MessageBox.Show(err.Message, warning, MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - // gui stuff - private void OnDistance(object sender, EventArgs e) - { - m_distanceTextBox.ReadOnly = false; - m_ArcLengthTextBox.ReadOnly = true; - m_variable = Variable.Distance; - } - - // gui stuff - private void OnArcLength(object sender, EventArgs e) - { - m_distanceTextBox.ReadOnly = true; - m_ArcLengthTextBox.ReadOnly = false; - m_variable = Variable.ArcLength; - } - - // gui stuff - private void OnFunction(object sender, EventArgs e) - { - m_function = (Function)m_functionComboBox.SelectedIndex; - switch (m_function) - { - case Function.Direct: - m_distanceTextBox.ReadOnly = m_variable == Variable.ArcLength; - m_ArcLengthTextBox.ReadOnly = m_variable == Variable.Distance; - m_originAzimuthTextBox.ReadOnly = false; - m_finalLatitudeTextBox.ReadOnly = true; - m_finalLongitudeTextBox.ReadOnly = true; - break; - case Function.Inverse: - m_distanceTextBox.ReadOnly = true; - m_ArcLengthTextBox.ReadOnly = true; - m_originAzimuthTextBox.ReadOnly = true; - m_finalLatitudeTextBox.ReadOnly = false; - m_finalLongitudeTextBox.ReadOnly = false; - break; - } - } - // gui stuff - private void OnClassChanged(object sender, EventArgs e) - { - m_class = (Classes)m_classComboBox.SelectedIndex; - } - - // a simple validation function...does not change GUI elements - private void OnValidate(object sender, EventArgs e) - { - double finalAzimuth = 0.0, reducedLength = 0.0, M12 = 0.0, M21 = 0.0, - S12 = 0.0, arcDistance = 0.0, finalLatitude = 0.0, finalLongitude = 0.0, - distance = 0.0; - try - { - Geodesic g = new Geodesic(); - g = new Geodesic(g.EquatorialRadius, g.Flattening); - arcDistance = g.Direct(32.0, -86.0, 45.0, 20000.0, out finalLatitude, out finalLongitude, - out finalAzimuth, out reducedLength, out M12, out M21, - out S12); - double flat = 0.0, flon = 0.0, faz = 0.0, frd = 0.0, fm12 = 0.0, fm21 = 0.0, fs12 = 0.0, fad = 0.0; - fad = g.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude) - throw new Exception("Geodesic.Direct #1 failed"); - fad = g.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon, out faz); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth) - throw new Exception("Geodesic.Direct #2 failed"); - fad = g.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon, out faz, out frd); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength) - throw new Exception("Geodesic.Direct #3 failed"); - fad = g.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon, out faz, out fm12, out fm21); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || fm12 != M12 || fm21 != M21) - throw new Exception("Geodesic.Direct #4 failed"); - fad = g.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon, out faz, out frd, out fm12, out fm21); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength || fm12 != M12 || fm21 != M21) - throw new Exception("Geodesic.Direct #5 failed"); - double outd = 0.0; - fad = g.GenDirect(32.0, -86.0, 45.0, false, 20000.0, Geodesic.mask.ALL, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21, out fs12); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength || fm12 != M12 || fm21 != M21 || - outd != 20000.0 || fs12 != S12) - throw new Exception("Geodesic.GenDirect (false) failed"); - g.ArcDirect(32.0, -86.0, 45.0, 1.0, out finalLatitude, out finalLongitude, out finalAzimuth, - out arcDistance, out reducedLength, out M12, out M21, out S12); - g.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon); - if (flat != finalLatitude || flon != finalLongitude) - throw new Exception("Geodesic.ArcDirect #1 failed"); - g.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon, out faz); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth) - throw new Exception("Geodesic.ArcDirect #2 failed"); - g.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon, out faz, out fad); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - fad != arcDistance) - throw new Exception("Geodesic.ArcDirect #3 failed"); - g.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon, out faz, out fad, out frd); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - fad != arcDistance || frd != reducedLength) - throw new Exception("Geodesic.ArcDirect #4 failed"); - g.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon, out faz, out fad, out fm12, out fm21); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - fad != arcDistance || fm12 != M12 || fm21 != M21) - throw new Exception("Geodesic.ArcDirect #5 failed"); - fad = g.GenDirect(32.0, -86.0, 45.0, true, 1.0, Geodesic.mask.ALL, out flat, out flon, - out faz, out outd, out frd, out fm12, out fm21, out fs12); - if (outd != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength || fm12 != M12 || fm21 != M21 || - fs12 != S12 || fad != 1.0) - throw new Exception("Geodesic.GenDirect (true) failed"); - double initAzimuth = 0.0, iaz = 0.0; - arcDistance = g.Inverse(32.0, -86.0, 33.0, -87.0, out distance, out initAzimuth, out finalAzimuth, - out reducedLength, out M12, out M21, out S12); - fad = g.Inverse(32.0, -86.0, 33.0, -87.0, out outd); - if (fad != arcDistance || outd != distance) - throw new Exception("Geodesic.Inverse #1 failed"); - fad = g.Inverse(32.0, -86.0, 33.0, -87.0, out iaz, out faz); - if (fad != arcDistance || iaz != initAzimuth || faz != finalAzimuth) - throw new Exception("Geodesic.Inverse #2 failed"); - fad = g.Inverse(32.0, -86.0, 33.0, -87.0, out outd, out iaz, out faz); - if (fad != arcDistance || outd != distance || faz != finalAzimuth || - outd != distance) - throw new Exception("Geodesic.Inverse #3 failed"); - fad = g.Inverse(32.0, -86.0, 33.0, -87.0, out outd, out iaz, out faz, out frd); - if (fad != arcDistance || outd != distance || faz != finalAzimuth || - outd != distance || frd != reducedLength) - throw new Exception("Geodesic.Inverse #4 failed"); - fad = g.Inverse(32.0, -86.0, 33.0, -87.0, out outd, out iaz, out faz, out fm12, out fm21 ); - if (fad != arcDistance || outd != distance || faz != finalAzimuth || - outd != distance || fm12 != M12 || fm21 != M21 ) - throw new Exception("Geodesic.Inverse #5 failed"); - fad = g.Inverse(32.0, -86.0, 33.0, -87.0, out outd, out iaz, out faz, out frd, out fm12, out fm21); - if (fad != arcDistance || outd != distance || faz != finalAzimuth || - outd != distance || fm12 != M12 || fm21 != M21 || frd != reducedLength) - throw new Exception("Geodesic.Inverse #6 failed"); - GeodesicLine gl = g.Line(32.0, -86.0, 45.0, Mask.ALL); - gl = g.InverseLine(32.0, -86.0, 33.0, -87.0, Mask.ALL); - gl = g.DirectLine(32.0, -86.0, 45.0, 10000.0, Mask.ALL); - gl = g.ArcDirectLine(32.0, -86.0, 45.0, 10000.0, Mask.ALL); - gl = new GeodesicLine(32.0, -86.0, 45.0, Mask.ALL); - gl = new GeodesicLine(g, 32.0, -86.0, 45.0, Mask.ALL); - arcDistance = gl.Position(10000.0, out finalLatitude, out finalLongitude, out finalAzimuth, - out reducedLength, out M12, out M21, out S12); - fad = gl.Position(10000.0, out flat, out flon); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude) - throw new Exception("GeodesicLine.Position #1 failed"); - fad = gl.Position(10000.0, out flat, out flon, out faz); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth) - throw new Exception("GeodesicLine.Position #2 failed"); - fad = gl.Position(10000.0, out flat, out flon, out faz, out frd); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength) - throw new Exception("GeodesicLine.Position #3 failed"); - fad = gl.Position(10000.0, out flat, out flon, out faz, out fm12, out fm21); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || fm12 != M12 || fm21 != M21) - throw new Exception("GeodesicLine.Position #4 failed"); - fad = gl.Position(10000.0, out flat, out flon, out faz, out frd, out fm12, out fm21); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || fm12 != M12 || fm21 != M21 || frd != reducedLength ) - throw new Exception("GeodesicLine.Position #5 failed"); - fad = gl.GenPosition(false, 10000.0, GeodesicLine.mask.ALL, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21, out fs12); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || outd != 10000.0 || fm12 != M12 || fm21 != M21 || - frd != reducedLength || fs12 != S12 ) - throw new Exception("GeodesicLine.GenPosition (false) failed"); - gl.ArcPosition(1.0, out finalLatitude, out finalLongitude, out finalAzimuth, - out distance, out reducedLength, out M12, out M21, out S12); - gl.ArcPosition(1.0, out flat, out flon); - if (flat != finalLatitude || flon != finalLongitude) - throw new Exception("GeodesicLine.ArcPosition #1 failed"); - gl.ArcPosition(1.0, out flat, out flon, out faz); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth) - throw new Exception("GeodesicLine.ArcPosition #2 failed"); - gl.ArcPosition(1.0, out flat, out flon, out faz, out outd); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - outd != distance) - throw new Exception("GeodesicLine.ArcPosition #3 failed"); - gl.ArcPosition(1.0, out flat, out flon, out faz, out outd, out frd); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - outd != distance || frd != reducedLength) - throw new Exception("GeodesicLine.ArcPosition #4 failed"); - gl.ArcPosition(1.0, out flat, out flon, out faz, out outd, out fm12, out fm21); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - outd != distance || fm12 != M12 || fm21 != M21) - throw new Exception("GeodesicLine.ArcPosition #5 failed"); - gl.ArcPosition(1.0, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - outd != distance || fm12 != M12 || fm21 != M21 || frd != reducedLength) - throw new Exception("GeodesicLine.ArcPosition #6 failed"); - fad = gl.GenPosition(true, 1.0, GeodesicLine.mask.ALL, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21, out fs12); - if (fad != 1.0 || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || outd != distance || fm12 != M12 || fm21 != M21 || - frd != reducedLength || fs12 != S12) - throw new Exception("GeodesicLine.GenPosition (false) failed"); - - GeodesicExact ge = new GeodesicExact(); - ge = new GeodesicExact(g.EquatorialRadius, g.Flattening); - arcDistance = ge.Direct(32.0, -86.0, 45.0, 20000.0, out finalLatitude, out finalLongitude, - out finalAzimuth, out reducedLength, out M12, out M21, - out S12); - fad = ge.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude) - throw new Exception("GeodesicExact.Direct #1 failed"); - fad = ge.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon, out faz); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth) - throw new Exception("GeodesicExact.Direct #2 failed"); - fad = ge.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon, out faz, out frd); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength) - throw new Exception("GeodesicExact.Direct #3 failed"); - fad = ge.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon, out faz, out fm12, out fm21); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || fm12 != M12 || fm21 != M21) - throw new Exception("GeodesicExact.Direct #4 failed"); - fad = ge.Direct(32.0, -86.0, 45.0, 20000.0, out flat, out flon, out faz, out frd, out fm12, out fm21); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength || fm12 != M12 || fm21 != M21) - throw new Exception("GeodesicExact.Direct #5 failed"); - fad = ge.GenDirect(32.0, -86.0, 45.0, false, 20000.0, GeodesicExact.mask.ALL, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21, out fs12); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength || fm12 != M12 || fm21 != M21 || - outd != 20000.0 || fs12 != S12) - throw new Exception("GeodesicExact.GenDirect (false) failed"); - ge.ArcDirect(32.0, -86.0, 45.0, 1.0, out finalLatitude, out finalLongitude, out finalAzimuth, - out arcDistance, out reducedLength, out M12, out M21, out S12); - ge.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon); - if (flat != finalLatitude || flon != finalLongitude) - throw new Exception("GeodesicExact.ArcDirect #1 failed"); - ge.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon, out faz); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth) - throw new Exception("GeodesicExact.ArcDirect #2 failed"); - ge.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon, out faz, out fad); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - fad != arcDistance) - throw new Exception("GeodesicExact.ArcDirect #3 failed"); - ge.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon, out faz, out fad, out frd); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - fad != arcDistance || frd != reducedLength) - throw new Exception("GeodesicExact.ArcDirect #4 failed"); - ge.ArcDirect(32.0, -86.0, 45.0, 1.0, out flat, out flon, out faz, out fad, out fm12, out fm21); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - fad != arcDistance || fm12 != M12 || fm21 != M21) - throw new Exception("GeodesicExact.ArcDirect #5 failed"); - fad = ge.GenDirect(32.0, -86.0, 45.0, true, 1.0, GeodesicExact.mask.ALL, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21, out fs12); - if (outd != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength || fm12 != M12 || fm21 != M21 || - fad != 1.0 || fs12 != S12) - throw new Exception("GeodesicExact.GenDirect (true) failed"); - arcDistance = ge.Inverse(32.0, -86.0, 33.0, -87.0, out distance, out initAzimuth, out finalAzimuth, - out reducedLength, out M12, out M21, out S12); - fad = ge.Inverse(32.0, -86.0, 33.0, -87.0, out outd); - if (fad != arcDistance || outd != distance) - throw new Exception("GeodesicExact.Inverse #1 failed"); - fad = ge.Inverse(32.0, -86.0, 33.0, -87.0, out iaz, out faz); - if (fad != arcDistance || iaz != initAzimuth || faz != finalAzimuth) - throw new Exception("GeodesicExact.Inverse #2 failed"); - fad = ge.Inverse(32.0, -86.0, 33.0, -87.0, out outd, out iaz, out faz); - if (fad != arcDistance || outd != distance || faz != finalAzimuth || - outd != distance) - throw new Exception("GeodesicExact.Inverse #3 failed"); - fad = ge.Inverse(32.0, -86.0, 33.0, -87.0, out outd, out iaz, out faz, out frd); - if (fad != arcDistance || outd != distance || faz != finalAzimuth || - outd != distance || frd != reducedLength) - throw new Exception("GeodesicExact.Inverse #4 failed"); - fad = ge.Inverse(32.0, -86.0, 33.0, -87.0, out outd, out iaz, out faz, out fm12, out fm21); - if (fad != arcDistance || outd != distance || faz != finalAzimuth || - outd != distance || fm12 != M12 || fm21 != M21) - throw new Exception("GeodesicExact.Inverse #5 failed"); - fad = ge.Inverse(32.0, -86.0, 33.0, -87.0, out outd, out iaz, out faz, out frd, out fm12, out fm21); - if (fad != arcDistance || outd != distance || faz != finalAzimuth || - outd != distance || fm12 != M12 || fm21 != M21 || frd != reducedLength) - throw new Exception("GeodesicExact.Inverse #6 failed"); - GeodesicLineExact gle = ge.Line(32.0, -86.0, 45.0, Mask.ALL); - gle = ge.InverseLine(32.0, -86.0, 33.0, -87.0, Mask.ALL); - gle = ge.DirectLine(32.0, -86.0, 45.0, 10000.0, Mask.ALL); - gle = ge.ArcDirectLine(32.0, -86.0, 45.0, 10000.0, Mask.ALL); - gle = new GeodesicLineExact(32.0, -86.0, 45.0, Mask.ALL); - gle = new GeodesicLineExact(ge, 32.0, -86.0, 45.0, Mask.ALL); - arcDistance = gle.Position(10000.0, out finalLatitude, out finalLongitude, out finalAzimuth, - out reducedLength, out M12, out M21, out S12); - fad = gle.Position(10000.0, out flat, out flon); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude) - throw new Exception("GeodesicLineExact.Position #1 failed"); - fad = gle.Position(10000.0, out flat, out flon, out faz); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth) - throw new Exception("GeodesicLineExact.Position #2 failed"); - fad = gle.Position(10000.0, out flat, out flon, out faz, out frd); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || frd != reducedLength) - throw new Exception("GeodesicLineExact.Position #3 failed"); - fad = gle.Position(10000.0, out flat, out flon, out faz, out fm12, out fm21); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || fm12 != M12 || fm21 != M21) - throw new Exception("GeodesicLineExact.Position #4 failed"); - fad = gle.Position(10000.0, out flat, out flon, out faz, out frd, out fm12, out fm21); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || fm12 != M12 || fm21 != M21 || frd != reducedLength) - throw new Exception("GeodesicLineExact.Position #5 failed"); - fad = gle.GenPosition(false, 10000.0, GeodesicLineExact.mask.ALL, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21, out fs12); - if (fad != arcDistance || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || outd != 10000.0 || fm12 != M12 || fm21 != M21 || - frd != reducedLength || fs12 != S12) - throw new Exception("GeodesicLineExact.GenPosition (false) failed"); - gle.ArcPosition(1.0, out finalLatitude, out finalLongitude, out finalAzimuth, - out distance, out reducedLength, out M12, out M21, out S12); - gle.ArcPosition(1.0, out flat, out flon); - if (flat != finalLatitude || flon != finalLongitude) - throw new Exception("GeodesicLineExact.ArcPosition #1 failed"); - gle.ArcPosition(1.0, out flat, out flon, out faz); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth) - throw new Exception("GeodesicLineExact.ArcPosition #2 failed"); - gle.ArcPosition(1.0, out flat, out flon, out faz, out outd); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - outd != distance) - throw new Exception("GeodesicLineExact.ArcPosition #3 failed"); - gle.ArcPosition(1.0, out flat, out flon, out faz, out outd, out frd); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - outd != distance || frd != reducedLength) - throw new Exception("GeodesicLineExact.ArcPosition #4 failed"); - gle.ArcPosition(1.0, out flat, out flon, out faz, out outd, out fm12, out fm21); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - outd != distance || fm12 != M12 || fm21 != M21) - throw new Exception("GeodesicLineExact.ArcPosition #5 failed"); - gle.ArcPosition(1.0, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21); - if (flat != finalLatitude || flon != finalLongitude || faz != finalAzimuth || - outd != distance || fm12 != M12 || fm21 != M21 || frd != reducedLength) - throw new Exception("GeodesicLineExact.ArcPosition #6 failed"); - fad = gle.GenPosition(true, 1.0, GeodesicLineExact.mask.ALL, out flat, out flon, out faz, out outd, out frd, out fm12, out fm21, out fs12); - if (fad != 1.0 || flat != finalLatitude || flon != finalLongitude || - faz != finalAzimuth || outd != distance || fm12 != M12 || fm21 != M21 || - frd != reducedLength || fs12 != S12) - throw new Exception("GeodesicLineExact.GenPosition (false) failed"); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Interface Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - - MessageBox.Show("No errors detected", "Interfaces OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.resx deleted file mode 100644 index cd3e124e77e64e93bc3cdba87e4ef15bdbc9a58c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeodesicPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.Designer.cs deleted file mode 100644 index e42f846d6350ff7a684593af0f68491a55b61c57..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.Designer.cs +++ /dev/null @@ -1,441 +0,0 @@ -namespace Projections -{ - partial class GeoidPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.label1 = new System.Windows.Forms.Label(); - this.m_geoidFileNameTextBox = new System.Windows.Forms.TextBox(); - this.button1 = new System.Windows.Forms.Button(); - this.m_threadSafeCheckBox = new System.Windows.Forms.CheckBox(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.m_dateTimeTextBox = new System.Windows.Forms.TextBox(); - this.m_descriptionTextBox = new System.Windows.Forms.TextBox(); - this.label4 = new System.Windows.Forms.Label(); - this.label5 = new System.Windows.Forms.Label(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.m_flatteningTtextBox = new System.Windows.Forms.TextBox(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.m_northTextBox = new System.Windows.Forms.TextBox(); - this.m_southTextBox = new System.Windows.Forms.TextBox(); - this.m_eastTextBox = new System.Windows.Forms.TextBox(); - this.m_westTextBox = new System.Windows.Forms.TextBox(); - this.m_cacheButton = new System.Windows.Forms.Button(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.m_ellipsoidTextBox = new System.Windows.Forms.TextBox(); - this.m_geoidTextBox = new System.Windows.Forms.TextBox(); - this.m_convertEllipsodButton = new System.Windows.Forms.Button(); - this.m_convertGeoidButton = new System.Windows.Forms.Button(); - this.label12 = new System.Windows.Forms.Label(); - this.label13 = new System.Windows.Forms.Label(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.m_heightButton = new System.Windows.Forms.Button(); - this.m_validateButton = new System.Windows.Forms.Button(); - this.SuspendLayout(); - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(6, 5); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(54, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Geoid File"; - // - // m_geoidFileNameTextBox - // - this.m_geoidFileNameTextBox.Location = new System.Drawing.Point(9, 21); - this.m_geoidFileNameTextBox.Name = "m_geoidFileNameTextBox"; - this.m_geoidFileNameTextBox.Size = new System.Drawing.Size(388, 20); - this.m_geoidFileNameTextBox.TabIndex = 1; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(404, 20); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(25, 23); - this.button1.TabIndex = 2; - this.button1.Text = "..."; - this.m_toolTip.SetToolTip(this.button1, "Select Geoid File"); - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnSelectFile); - // - // m_threadSafeCheckBox - // - this.m_threadSafeCheckBox.AutoSize = true; - this.m_threadSafeCheckBox.Location = new System.Drawing.Point(9, 48); - this.m_threadSafeCheckBox.Name = "m_threadSafeCheckBox"; - this.m_threadSafeCheckBox.Size = new System.Drawing.Size(85, 17); - this.m_threadSafeCheckBox.TabIndex = 3; - this.m_threadSafeCheckBox.Text = "Thread Safe"; - this.m_threadSafeCheckBox.UseVisualStyleBackColor = true; - this.m_threadSafeCheckBox.CheckedChanged += new System.EventHandler(this.OnThreadSafe); - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(7, 72); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(58, 13); - this.label2.TabIndex = 4; - this.label2.Text = "Date/Time"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(7, 101); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(60, 13); - this.label3.TabIndex = 5; - this.label3.Text = "Description"; - // - // m_dateTimeTextBox - // - this.m_dateTimeTextBox.Location = new System.Drawing.Point(80, 68); - this.m_dateTimeTextBox.Name = "m_dateTimeTextBox"; - this.m_dateTimeTextBox.ReadOnly = true; - this.m_dateTimeTextBox.Size = new System.Drawing.Size(181, 20); - this.m_dateTimeTextBox.TabIndex = 6; - // - // m_descriptionTextBox - // - this.m_descriptionTextBox.Location = new System.Drawing.Point(80, 97); - this.m_descriptionTextBox.Name = "m_descriptionTextBox"; - this.m_descriptionTextBox.ReadOnly = true; - this.m_descriptionTextBox.Size = new System.Drawing.Size(349, 20); - this.m_descriptionTextBox.TabIndex = 7; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(7, 130); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(69, 13); - this.label4.TabIndex = 8; - this.label4.Text = "Equatorial Radius"; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(7, 159); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(53, 13); - this.label5.TabIndex = 9; - this.label5.Text = "Flattening"; - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(83, 126); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.ReadOnly = true; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(126, 20); - this.m_equatorialRadiusTextBox.TabIndex = 10; - // - // m_flatteningTtextBox - // - this.m_flatteningTtextBox.Location = new System.Drawing.Point(83, 155); - this.m_flatteningTtextBox.Name = "m_flatteningTtextBox"; - this.m_flatteningTtextBox.ReadOnly = true; - this.m_flatteningTtextBox.Size = new System.Drawing.Size(126, 20); - this.m_flatteningTtextBox.TabIndex = 11; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(442, 12); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(33, 13); - this.label6.TabIndex = 12; - this.label6.Text = "North"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(442, 38); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(35, 13); - this.label7.TabIndex = 13; - this.label7.Text = "South"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(442, 64); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(28, 13); - this.label8.TabIndex = 14; - this.label8.Text = "East"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(442, 90); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(32, 13); - this.label9.TabIndex = 15; - this.label9.Text = "West"; - // - // m_northTextBox - // - this.m_northTextBox.Location = new System.Drawing.Point(482, 8); - this.m_northTextBox.Name = "m_northTextBox"; - this.m_northTextBox.Size = new System.Drawing.Size(100, 20); - this.m_northTextBox.TabIndex = 16; - // - // m_southTextBox - // - this.m_southTextBox.Location = new System.Drawing.Point(482, 34); - this.m_southTextBox.Name = "m_southTextBox"; - this.m_southTextBox.Size = new System.Drawing.Size(100, 20); - this.m_southTextBox.TabIndex = 17; - // - // m_eastTextBox - // - this.m_eastTextBox.Location = new System.Drawing.Point(482, 60); - this.m_eastTextBox.Name = "m_eastTextBox"; - this.m_eastTextBox.Size = new System.Drawing.Size(100, 20); - this.m_eastTextBox.TabIndex = 18; - // - // m_westTextBox - // - this.m_westTextBox.Location = new System.Drawing.Point(482, 86); - this.m_westTextBox.Name = "m_westTextBox"; - this.m_westTextBox.Size = new System.Drawing.Size(100, 20); - this.m_westTextBox.TabIndex = 19; - // - // m_cacheButton - // - this.m_cacheButton.Location = new System.Drawing.Point(492, 113); - this.m_cacheButton.Name = "m_cacheButton"; - this.m_cacheButton.Size = new System.Drawing.Size(75, 23); - this.m_cacheButton.TabIndex = 20; - this.m_cacheButton.Text = "Cache"; - this.m_toolTip.SetToolTip(this.m_cacheButton, "Cache Geoid Data"); - this.m_cacheButton.UseVisualStyleBackColor = true; - this.m_cacheButton.Click += new System.EventHandler(this.OnCache); - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(606, 63); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(113, 13); - this.label10.TabIndex = 21; - this.label10.Text = "Height Above Ellipsoid"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(754, 63); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(102, 13); - this.label11.TabIndex = 22; - this.label11.Text = "Height above Geoid"; - // - // m_ellipsoidTextBox - // - this.m_ellipsoidTextBox.Location = new System.Drawing.Point(596, 85); - this.m_ellipsoidTextBox.Name = "m_ellipsoidTextBox"; - this.m_ellipsoidTextBox.Size = new System.Drawing.Size(132, 20); - this.m_ellipsoidTextBox.TabIndex = 23; - // - // m_geoidTextBox - // - this.m_geoidTextBox.Location = new System.Drawing.Point(739, 85); - this.m_geoidTextBox.Name = "m_geoidTextBox"; - this.m_geoidTextBox.Size = new System.Drawing.Size(132, 20); - this.m_geoidTextBox.TabIndex = 24; - // - // m_convertEllipsodButton - // - this.m_convertEllipsodButton.Enabled = false; - this.m_convertEllipsodButton.Location = new System.Drawing.Point(625, 109); - this.m_convertEllipsodButton.Name = "m_convertEllipsodButton"; - this.m_convertEllipsodButton.Size = new System.Drawing.Size(75, 23); - this.m_convertEllipsodButton.TabIndex = 25; - this.m_convertEllipsodButton.Text = "Convert ->"; - this.m_toolTip.SetToolTip(this.m_convertEllipsodButton, "Convert Ellipsod Height to Geoid Height"); - this.m_convertEllipsodButton.UseVisualStyleBackColor = true; - this.m_convertEllipsodButton.Click += new System.EventHandler(this.OnConvertEllipsod); - // - // m_convertGeoidButton - // - this.m_convertGeoidButton.Enabled = false; - this.m_convertGeoidButton.Location = new System.Drawing.Point(768, 109); - this.m_convertGeoidButton.Name = "m_convertGeoidButton"; - this.m_convertGeoidButton.Size = new System.Drawing.Size(75, 23); - this.m_convertGeoidButton.TabIndex = 26; - this.m_convertGeoidButton.Text = "<- Convert"; - this.m_toolTip.SetToolTip(this.m_convertGeoidButton, "Convert Geoid Height to Ellipsoid Height"); - this.m_convertGeoidButton.UseVisualStyleBackColor = true; - this.m_convertGeoidButton.Click += new System.EventHandler(this.OnConvertGeoid); - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(593, 12); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(45, 13); - this.label12.TabIndex = 27; - this.label12.Text = "Latitude"; - // - // label13 - // - this.label13.AutoSize = true; - this.label13.Location = new System.Drawing.Point(593, 38); - this.label13.Name = "label13"; - this.label13.Size = new System.Drawing.Size(54, 13); - this.label13.TabIndex = 28; - this.label13.Text = "Longitude"; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(653, 8); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_latitudeTextBox.TabIndex = 29; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(653, 34); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_longitudeTextBox.TabIndex = 30; - // - // m_heightButton - // - this.m_heightButton.Enabled = false; - this.m_heightButton.Location = new System.Drawing.Point(768, 18); - this.m_heightButton.Name = "m_heightButton"; - this.m_heightButton.Size = new System.Drawing.Size(75, 23); - this.m_heightButton.TabIndex = 31; - this.m_heightButton.Text = "Height"; - this.m_toolTip.SetToolTip(this.m_heightButton, "Calculate Geoid Height at Longitude/Latitude"); - this.m_heightButton.UseVisualStyleBackColor = true; - this.m_heightButton.Click += new System.EventHandler(this.OnHeight); - // - // m_validateButton - // - this.m_validateButton.Enabled = false; - this.m_validateButton.Location = new System.Drawing.Point(638, 148); - this.m_validateButton.Name = "m_validateButton"; - this.m_validateButton.Size = new System.Drawing.Size(75, 23); - this.m_validateButton.TabIndex = 32; - this.m_validateButton.Text = "Validate"; - this.m_validateButton.UseVisualStyleBackColor = true; - this.m_validateButton.Click += new System.EventHandler(this.OnValidate); - // - // GeoidPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.m_validateButton); - this.Controls.Add(this.m_heightButton); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.label13); - this.Controls.Add(this.label12); - this.Controls.Add(this.m_convertGeoidButton); - this.Controls.Add(this.m_convertEllipsodButton); - this.Controls.Add(this.m_geoidTextBox); - this.Controls.Add(this.m_ellipsoidTextBox); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.m_cacheButton); - this.Controls.Add(this.m_westTextBox); - this.Controls.Add(this.m_eastTextBox); - this.Controls.Add(this.m_southTextBox); - this.Controls.Add(this.m_northTextBox); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.m_flatteningTtextBox); - this.Controls.Add(this.m_equatorialRadiusTextBox); - this.Controls.Add(this.label5); - this.Controls.Add(this.label4); - this.Controls.Add(this.m_descriptionTextBox); - this.Controls.Add(this.m_dateTimeTextBox); - this.Controls.Add(this.label3); - this.Controls.Add(this.label2); - this.Controls.Add(this.m_threadSafeCheckBox); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_geoidFileNameTextBox); - this.Controls.Add(this.label1); - this.Name = "GeoidPanel"; - this.Size = new System.Drawing.Size(1002, 273); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_geoidFileNameTextBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.CheckBox m_threadSafeCheckBox; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.TextBox m_dateTimeTextBox; - private System.Windows.Forms.TextBox m_descriptionTextBox; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.TextBox m_flatteningTtextBox; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.TextBox m_northTextBox; - private System.Windows.Forms.TextBox m_southTextBox; - private System.Windows.Forms.TextBox m_eastTextBox; - private System.Windows.Forms.TextBox m_westTextBox; - private System.Windows.Forms.Button m_cacheButton; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.TextBox m_ellipsoidTextBox; - private System.Windows.Forms.TextBox m_geoidTextBox; - private System.Windows.Forms.Button m_convertEllipsodButton; - private System.Windows.Forms.Button m_convertGeoidButton; - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.Label label13; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.Button m_heightButton; - private System.Windows.Forms.Button m_validateButton; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.cs deleted file mode 100644 index ff6772eb47a37689c55ca04d61c8e618bd201b12..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.cs +++ /dev/null @@ -1,166 +0,0 @@ -/** - * \file NETGeographicLib\GeoidPanel.cs - * \brief NETGeographicLib.Geoid example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -using System.IO; - -namespace Projections -{ - public partial class GeoidPanel : UserControl - { - Geoid m_geoid = null; - string m_path; - string m_fileName; - - public GeoidPanel() - { - InitializeComponent(); - m_threadSafeCheckBox.Checked = true; - } - - private void OnSelectFile(object sender, EventArgs e) - { - OpenFileDialog dlg = new OpenFileDialog(); - dlg.Filter = "Geoid File (*.pgm)|*.pgm"; - dlg.DefaultExt = "pgm"; - dlg.Title = "Open Geoid File"; - - if (dlg.ShowDialog() == DialogResult.Cancel) return; - - m_path = dlg.FileName.Substring(0, dlg.FileName.LastIndexOf('\\')).Replace('\\', '/'); - int length = dlg.FileName.LastIndexOf('.') - dlg.FileName.LastIndexOf('\\') - 1; - m_fileName = dlg.FileName.Substring(dlg.FileName.LastIndexOf('\\') + 1, length); - - try - { - m_geoid = new Geoid(m_fileName, m_path, true, m_threadSafeCheckBox.Checked); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - - m_convertEllipsodButton.Enabled = m_convertGeoidButton.Enabled = m_heightButton.Enabled = m_validateButton.Enabled = true; - m_geoidFileNameTextBox.Text = dlg.FileName; - m_dateTimeTextBox.Text = m_geoid.DateTime; - m_descriptionTextBox.Text = m_geoid.Description; - m_majorRadiusTextBox.Text = m_geoid.EquatorialRadius.ToString(); - m_flatteningTtextBox.Text = m_geoid.Flattening.ToString(); - } - - private void OnThreadSafe(object sender, EventArgs e) - { - if (m_geoidFileNameTextBox.Text.Length > 0) - { - try - { - m_geoid = new Geoid(m_fileName, m_path, true, m_threadSafeCheckBox.Checked); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - } - m_cacheButton.Enabled = !m_threadSafeCheckBox.Checked; - m_northTextBox.ReadOnly = m_southTextBox.ReadOnly = m_eastTextBox.ReadOnly = m_westTextBox.ReadOnly = m_threadSafeCheckBox.Checked; - } - - private void OnCache(object sender, EventArgs e) - { - if (m_geoid == null) return; - - try - { - double south = Double.Parse(m_southTextBox.Text); - double north = Double.Parse(m_northTextBox.Text); - double west = Double.Parse(m_westTextBox.Text); - double east = Double.Parse(m_eastTextBox.Text); - m_geoid.CacheArea(south, west, north, east); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnConvertEllipsod(object sender, EventArgs e) - { - try - { - double lat = Double.Parse(m_latitudeTextBox.Text); - double lon = Double.Parse(m_longitudeTextBox.Text); - double h = Double.Parse(m_ellipsoidTextBox.Text); - m_geoidTextBox.Text = m_geoid.ConvertHeight(lat, lon, h, Geoid.ConvertFlag.ELLIPSOIDTOGEOID).ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnConvertGeoid(object sender, EventArgs e) - { - try - { - double lat = Double.Parse(m_latitudeTextBox.Text); - double lon = Double.Parse(m_longitudeTextBox.Text); - double h = Double.Parse(m_geoidTextBox.Text); - m_ellipsoidTextBox.Text = m_geoid.ConvertHeight(lat, lon, h, Geoid.ConvertFlag.GEOIDTOELLIPSOID).ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnHeight(object sender, EventArgs e) - { - try - { - double lat = Double.Parse(m_latitudeTextBox.Text); - double lon = Double.Parse(m_longitudeTextBox.Text); - m_ellipsoidTextBox.Text = m_geoid.Height(lat, lon).ToString(); - m_geoidTextBox.Text = "0"; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - Geoid g = new Geoid(m_fileName, m_path, false, false); - g.CacheArea(20.0, -30.0, 30.0, -20.0); - g.CacheAll(); - double h2 = g.Height(32.0, -60.0); - g.ConvertHeight(32.0, -60.0, 100.0, Geoid.ConvertFlag.ELLIPSOIDTOGEOID); - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.resx deleted file mode 100644 index 3ec30e045320778f2e0b8b29b0f198907a187341..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GeoidPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.Designer.cs deleted file mode 100644 index a127b71998b69eeeb6a80bb620b1fcbf13ada4da..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.Designer.cs +++ /dev/null @@ -1,382 +0,0 @@ -namespace Projections -{ - partial class GravityPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.toolTip1 = new System.Windows.Forms.ToolTip(this.components); - this.button1 = new System.Windows.Forms.Button(); - this.m_updateButton = new System.Windows.Forms.Button(); - this.m_gravityModelNameTextBox = new System.Windows.Forms.TextBox(); - this.label1 = new System.Windows.Forms.Label(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.label4 = new System.Windows.Forms.Label(); - this.m_nameTextBox = new System.Windows.Forms.TextBox(); - this.m_descriptionTextBox = new System.Windows.Forms.TextBox(); - this.m_dateTextBox = new System.Windows.Forms.TextBox(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.m_longitudetextBoxT = new System.Windows.Forms.TextBox(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_altitudeTextBox = new System.Windows.Forms.TextBox(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.m_accelXTextBox = new System.Windows.Forms.TextBox(); - this.m_accelYTextBox = new System.Windows.Forms.TextBox(); - this.m_accelZTextBox = new System.Windows.Forms.TextBox(); - this.label12 = new System.Windows.Forms.Label(); - this.m_geoidTextBox = new System.Windows.Forms.TextBox(); - this.m_normGravButton = new System.Windows.Forms.Button(); - this.m_GravityCircleButton = new System.Windows.Forms.Button(); - this.m_validateButton = new System.Windows.Forms.Button(); - this.SuspendLayout(); - // - // button1 - // - this.button1.Location = new System.Drawing.Point(391, 21); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(29, 23); - this.button1.TabIndex = 2; - this.button1.Text = "..."; - this.toolTip1.SetToolTip(this.button1, "Select gravity model file"); - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnSelectGravityModel); - // - // m_updateButton - // - this.m_updateButton.Enabled = false; - this.m_updateButton.Location = new System.Drawing.Point(565, 106); - this.m_updateButton.Name = "m_updateButton"; - this.m_updateButton.Size = new System.Drawing.Size(75, 23); - this.m_updateButton.TabIndex = 24; - this.m_updateButton.Text = "Update"; - this.toolTip1.SetToolTip(this.m_updateButton, "Calculate acceleration and geoid height"); - this.m_updateButton.UseVisualStyleBackColor = true; - this.m_updateButton.Click += new System.EventHandler(this.OnUpdate); - // - // m_gravityModelNameTextBox - // - this.m_gravityModelNameTextBox.Location = new System.Drawing.Point(7, 22); - this.m_gravityModelNameTextBox.Name = "m_gravityModelNameTextBox"; - this.m_gravityModelNameTextBox.Size = new System.Drawing.Size(377, 20); - this.m_gravityModelNameTextBox.TabIndex = 0; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(4, 6); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(72, 13); - this.label1.TabIndex = 1; - this.label1.Text = "Gravity Model"; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(7, 52); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(35, 13); - this.label2.TabIndex = 3; - this.label2.Text = "Name"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(10, 79); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(60, 13); - this.label3.TabIndex = 4; - this.label3.Text = "Description"; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(13, 106); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(30, 13); - this.label4.TabIndex = 5; - this.label4.Text = "Date"; - // - // m_nameTextBox - // - this.m_nameTextBox.Location = new System.Drawing.Point(85, 48); - this.m_nameTextBox.Name = "m_nameTextBox"; - this.m_nameTextBox.ReadOnly = true; - this.m_nameTextBox.Size = new System.Drawing.Size(299, 20); - this.m_nameTextBox.TabIndex = 6; - // - // m_descriptionTextBox - // - this.m_descriptionTextBox.Location = new System.Drawing.Point(85, 75); - this.m_descriptionTextBox.Name = "m_descriptionTextBox"; - this.m_descriptionTextBox.ReadOnly = true; - this.m_descriptionTextBox.Size = new System.Drawing.Size(299, 20); - this.m_descriptionTextBox.TabIndex = 7; - // - // m_dateTextBox - // - this.m_dateTextBox.Location = new System.Drawing.Point(85, 102); - this.m_dateTextBox.Name = "m_dateTextBox"; - this.m_dateTextBox.ReadOnly = true; - this.m_dateTextBox.Size = new System.Drawing.Size(299, 20); - this.m_dateTextBox.TabIndex = 8; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(433, 32); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(101, 13); - this.label5.TabIndex = 9; - this.label5.Text = "Longitude (degrees)"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(433, 58); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(92, 13); - this.label6.TabIndex = 10; - this.label6.Text = "Latitude (degrees)"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(433, 84); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(82, 13); - this.label7.TabIndex = 11; - this.label7.Text = "Altitude (meters)"; - // - // m_longitudetextBoxT - // - this.m_longitudetextBoxT.Location = new System.Drawing.Point(539, 28); - this.m_longitudetextBoxT.Name = "m_longitudetextBoxT"; - this.m_longitudetextBoxT.Size = new System.Drawing.Size(126, 20); - this.m_longitudetextBoxT.TabIndex = 12; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(539, 54); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(126, 20); - this.m_latitudeTextBox.TabIndex = 13; - // - // m_altitudeTextBox - // - this.m_altitudeTextBox.Location = new System.Drawing.Point(539, 80); - this.m_altitudeTextBox.Name = "m_altitudeTextBox"; - this.m_altitudeTextBox.Size = new System.Drawing.Size(126, 20); - this.m_altitudeTextBox.TabIndex = 14; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(670, 32); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(14, 13); - this.label8.TabIndex = 15; - this.label8.Text = "X"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(670, 58); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(14, 13); - this.label9.TabIndex = 16; - this.label9.Text = "Y"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(670, 84); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(14, 13); - this.label10.TabIndex = 17; - this.label10.Text = "Z"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(700, 6); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(105, 13); - this.label11.TabIndex = 18; - this.label11.Text = "Acceleration (m/s^2)"; - // - // m_accelXTextBox - // - this.m_accelXTextBox.Location = new System.Drawing.Point(691, 28); - this.m_accelXTextBox.Name = "m_accelXTextBox"; - this.m_accelXTextBox.ReadOnly = true; - this.m_accelXTextBox.Size = new System.Drawing.Size(122, 20); - this.m_accelXTextBox.TabIndex = 19; - // - // m_accelYTextBox - // - this.m_accelYTextBox.Location = new System.Drawing.Point(690, 54); - this.m_accelYTextBox.Name = "m_accelYTextBox"; - this.m_accelYTextBox.ReadOnly = true; - this.m_accelYTextBox.Size = new System.Drawing.Size(122, 20); - this.m_accelYTextBox.TabIndex = 20; - // - // m_accelZTextBox - // - this.m_accelZTextBox.Location = new System.Drawing.Point(691, 80); - this.m_accelZTextBox.Name = "m_accelZTextBox"; - this.m_accelZTextBox.ReadOnly = true; - this.m_accelZTextBox.Size = new System.Drawing.Size(122, 20); - this.m_accelZTextBox.TabIndex = 21; - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(709, 106); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(86, 13); - this.label12.TabIndex = 22; - this.label12.Text = "Geoid Height (m)"; - // - // m_geoidTextBox - // - this.m_geoidTextBox.Location = new System.Drawing.Point(691, 125); - this.m_geoidTextBox.Name = "m_geoidTextBox"; - this.m_geoidTextBox.ReadOnly = true; - this.m_geoidTextBox.Size = new System.Drawing.Size(122, 20); - this.m_geoidTextBox.TabIndex = 23; - // - // m_normGravButton - // - this.m_normGravButton.Enabled = false; - this.m_normGravButton.Location = new System.Drawing.Point(544, 135); - this.m_normGravButton.Name = "m_normGravButton"; - this.m_normGravButton.Size = new System.Drawing.Size(117, 42); - this.m_normGravButton.TabIndex = 25; - this.m_normGravButton.Text = "Acceleration using NormalGravity"; - this.m_normGravButton.UseVisualStyleBackColor = true; - this.m_normGravButton.Click += new System.EventHandler(this.OnNormGravity); - // - // m_GravityCircleButton - // - this.m_GravityCircleButton.Enabled = false; - this.m_GravityCircleButton.Location = new System.Drawing.Point(403, 135); - this.m_GravityCircleButton.Name = "m_GravityCircleButton"; - this.m_GravityCircleButton.Size = new System.Drawing.Size(131, 54); - this.m_GravityCircleButton.TabIndex = 26; - this.m_GravityCircleButton.Text = "Acceleration and geoid height using GravityCircle"; - this.m_GravityCircleButton.UseVisualStyleBackColor = true; - this.m_GravityCircleButton.Click += new System.EventHandler(this.OnGravityCircle); - // - // m_validateButton - // - this.m_validateButton.Enabled = false; - this.m_validateButton.Location = new System.Drawing.Point(43, 145); - this.m_validateButton.Name = "m_validateButton"; - this.m_validateButton.Size = new System.Drawing.Size(75, 23); - this.m_validateButton.TabIndex = 27; - this.m_validateButton.Text = "Validate"; - this.m_validateButton.UseVisualStyleBackColor = true; - this.m_validateButton.Click += new System.EventHandler(this.OnValidate); - // - // GravityPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.m_validateButton); - this.Controls.Add(this.m_GravityCircleButton); - this.Controls.Add(this.m_normGravButton); - this.Controls.Add(this.m_updateButton); - this.Controls.Add(this.m_geoidTextBox); - this.Controls.Add(this.label12); - this.Controls.Add(this.m_accelZTextBox); - this.Controls.Add(this.m_accelYTextBox); - this.Controls.Add(this.m_accelXTextBox); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.m_altitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.m_longitudetextBoxT); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.m_dateTextBox); - this.Controls.Add(this.m_descriptionTextBox); - this.Controls.Add(this.m_nameTextBox); - this.Controls.Add(this.label4); - this.Controls.Add(this.label3); - this.Controls.Add(this.label2); - this.Controls.Add(this.button1); - this.Controls.Add(this.label1); - this.Controls.Add(this.m_gravityModelNameTextBox); - this.Name = "GravityPanel"; - this.Size = new System.Drawing.Size(1083, 403); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.ToolTip toolTip1; - private System.Windows.Forms.TextBox m_gravityModelNameTextBox; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.TextBox m_nameTextBox; - private System.Windows.Forms.TextBox m_descriptionTextBox; - private System.Windows.Forms.TextBox m_dateTextBox; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.TextBox m_longitudetextBoxT; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_altitudeTextBox; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.TextBox m_accelXTextBox; - private System.Windows.Forms.TextBox m_accelYTextBox; - private System.Windows.Forms.TextBox m_accelZTextBox; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.TextBox m_geoidTextBox; - private System.Windows.Forms.Button m_updateButton; - private System.Windows.Forms.Button m_normGravButton; - private System.Windows.Forms.Button m_GravityCircleButton; - private System.Windows.Forms.Button m_validateButton; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.cs deleted file mode 100644 index aff6827522b924cec5cbb6a816e220727191cfd2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.cs +++ /dev/null @@ -1,188 +0,0 @@ -/** - * \file NETGeographicLib\GravityPanel.cs - * \brief NETGeographicLib.GravityModel example - * - * NETGeographicLib.GravityModel, - * NETGeographicLib.NormalGravity, and - * NETGeographicLib.GravityCircle example. - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class GravityPanel : UserControl - { - GravityModel m_gm = null; - string m_path; - string m_name; - public GravityPanel() - { - InitializeComponent(); - } - - private void OnSelectGravityModel(object sender, EventArgs e) - { - OpenFileDialog dlg = new OpenFileDialog(); - dlg.Filter = "Gravity Model (*.egm)|*.egm"; - dlg.DefaultExt = "egm"; - - if (dlg.ShowDialog() == DialogResult.Cancel) return; - - m_path = dlg.FileName.Substring(0, dlg.FileName.LastIndexOf('\\')).Replace('\\', '/'); - int length = dlg.FileName.LastIndexOf('.') - dlg.FileName.LastIndexOf('\\') - 1; - m_name = dlg.FileName.Substring(dlg.FileName.LastIndexOf('\\') + 1, length); - - try - { - m_gm = new GravityModel(m_name, m_path); - m_gravityModelNameTextBox.Text = dlg.FileName; - m_nameTextBox.Text = m_gm.GravityModelName; - m_descriptionTextBox.Text = m_gm.Description; - m_dateTextBox.Text = m_gm.DateTime; - m_updateButton.Enabled = true; - m_normGravButton.Enabled = true; - m_GravityCircleButton.Enabled = true; - m_validateButton.Enabled = true; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnUpdate(object sender, EventArgs e) - { - Cursor = Cursors.WaitCursor; - try - { - double lon = Double.Parse(m_longitudetextBoxT.Text); - double lat = Double.Parse(m_latitudeTextBox.Text); - double alt = Double.Parse(m_altitudeTextBox.Text); - - double gx, gy, gz; - m_gm.Gravity(lat, lon, alt, out gx, out gy, out gz); - m_accelXTextBox.Text = gx.ToString(); - m_accelYTextBox.Text = gy.ToString(); - m_accelZTextBox.Text = gz.ToString(); - m_geoidTextBox.Text = m_gm.GeoidHeight(lat, lon).ToString(); - Cursor = Cursors.Default; - } - catch (Exception xcpt) - { - Cursor = Cursors.Default; - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnNormGravity(object sender, EventArgs e) - { - try - { - double lat = Double.Parse(m_latitudeTextBox.Text); - double alt = Double.Parse(m_altitudeTextBox.Text); - - double gx, gz; - NormalGravity ng = m_gm.ReferenceEllipsoid(); - ng.Gravity(lat, alt, out gx, out gz); - m_accelXTextBox.Text = gx.ToString(); - m_accelYTextBox.Text = "0.0"; - m_accelZTextBox.Text = gz.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - - } - - private void OnGravityCircle(object sender, EventArgs e) - { - Cursor = Cursors.WaitCursor; - try - { - double lon = Double.Parse(m_longitudetextBoxT.Text); - double lat = Double.Parse(m_latitudeTextBox.Text); - double alt = Double.Parse(m_altitudeTextBox.Text); - - double gx, gy, gz; - GravityCircle gc = m_gm.Circle(lat, alt, GravityModel.Mask.GEOID_HEIGHT|GravityModel.Mask.GRAVITY); - gc.Gravity(lon, out gx, out gy, out gz); - m_accelXTextBox.Text = gx.ToString(); - m_accelYTextBox.Text = gy.ToString(); - m_accelZTextBox.Text = gz.ToString(); - if (alt != 0.0) - MessageBox.Show("Geoid height cannot be calculated with GravityCircle if altitude is not 0", "", MessageBoxButtons.OK, MessageBoxIcon.Information); - else - m_geoidTextBox.Text = gc.GeoidHeight(lon).ToString(); - Cursor = Cursors.Default; - } - catch (Exception xcpt) - { - Cursor = Cursors.Default; - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - double lon = -86.0; - double lat = 32.0; - double alt = 0.0; - - double x, y, z; - GravityModel gm = new GravityModel(m_name,m_path); - gm.Disturbance( lat, lon, alt, out x, out y, out z); - gm.GeoidHeight(lat,lon); - gm.Gravity(lat,lon,alt,out x,out y, out z); - gm.Phi(5000000.0,5000000.0,out x,out y); - gm.SphericalAnomaly(lat,lon,alt,out x, out y, out z); - gm.T(5000000.0,5000000.0,5000000.0); - gm.U(5000000.0,5000000.0,5000000.0,out x,out y,out z); - gm.V(5000000.0,5000000.0,5000000.0,out x,out y,out z); - gm.W(5000000.0,5000000.0,5000000.0,out x,out y,out z); - NormalGravity ng = new NormalGravity(NormalGravity.StandardModels.GRS80); - ng = new NormalGravity( NormalGravity.StandardModels.WGS84); - ng = new NormalGravity(6378137.0,3.986005e+14,7.292115147e-5,1.08263e-3, false); - ng = gm.ReferenceEllipsoid(); - ng.DynamicalFormFactor(1); - Geocentric geo = ng.Earth(); - ng.Gravity(lat,alt,out x, out z); - ng.Phi(5000000.0,5000000.0,out x,out y); - ng.SurfaceGravity(lat); - ng.U(5000000.0,5000000.0,5000000.0,out x, out y, out z); - ng.V0(5000000.0,5000000.0,5000000.0,out x, out y, out z); - GravityCircle gc = gm.Circle(lat,0.0,GravityModel.Mask.ALL); - gc.Capabilities(); - gc.Capabilities(GravityModel.Mask.GRAVITY); - gc.Disturbance(lon, out x, out y, out z); - gc.GeoidHeight(lon); - gc.Gravity(lon, out x, out y, out z); - gc.SphericalAnomaly(lon, out x, out y, out z); - gc.T(lon); - gc.V(lon, out x, out y, out z); - gc.W(lon, out x, out y, out z); - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.resx deleted file mode 100644 index 749de3c20460c12ec5df7fe2f7b2d70c0c16cb4f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/GravityPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.Designer.cs deleted file mode 100644 index 397d36002827caa249a2436aae4f69a1306e6b55..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.Designer.cs +++ /dev/null @@ -1,520 +0,0 @@ -namespace Projections -{ - partial class LocalCartesianPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.m_setButton = new System.Windows.Forms.Button(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.groupBox1 = new System.Windows.Forms.GroupBox(); - this.m_flatteningTextBox = new System.Windows.Forms.TextBox(); - this.label1 = new System.Windows.Forms.Label(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.label2 = new System.Windows.Forms.Label(); - this.groupBox2 = new System.Windows.Forms.GroupBox(); - this.m_altitudeTextBox = new System.Windows.Forms.TextBox(); - this.label5 = new System.Windows.Forms.Label(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.label4 = new System.Windows.Forms.Label(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.label3 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.m_latTextBox = new System.Windows.Forms.TextBox(); - this.m_lonTextBox = new System.Windows.Forms.TextBox(); - this.m_altTextBox = new System.Windows.Forms.TextBox(); - this.m_XTextBox = new System.Windows.Forms.TextBox(); - this.m_YTextBox = new System.Windows.Forms.TextBox(); - this.m_ZTextBox = new System.Windows.Forms.TextBox(); - this.m_functionComboBox = new System.Windows.Forms.ComboBox(); - this.label12 = new System.Windows.Forms.Label(); - this.groupBox3 = new System.Windows.Forms.GroupBox(); - this.m_textBox22 = new System.Windows.Forms.TextBox(); - this.m_textBox20 = new System.Windows.Forms.TextBox(); - this.m_textBox21 = new System.Windows.Forms.TextBox(); - this.m_textBox12 = new System.Windows.Forms.TextBox(); - this.m_textBox10 = new System.Windows.Forms.TextBox(); - this.m_textBox11 = new System.Windows.Forms.TextBox(); - this.m_textBox02 = new System.Windows.Forms.TextBox(); - this.m_textBox00 = new System.Windows.Forms.TextBox(); - this.m_textBox01 = new System.Windows.Forms.TextBox(); - this.button3 = new System.Windows.Forms.Button(); - this.groupBox1.SuspendLayout(); - this.groupBox2.SuspendLayout(); - this.groupBox3.SuspendLayout(); - this.SuspendLayout(); - // - // m_setButton - // - this.m_setButton.Location = new System.Drawing.Point(12, 107); - this.m_setButton.Name = "m_setButton"; - this.m_setButton.Size = new System.Drawing.Size(75, 23); - this.m_setButton.TabIndex = 4; - this.m_setButton.Text = "Set"; - this.m_toolTip.SetToolTip(this.m_setButton, "Sets the Ellipsoid Parameters"); - this.m_setButton.UseVisualStyleBackColor = true; - this.m_setButton.Click += new System.EventHandler(this.OnSetEllipsoid); - // - // button1 - // - this.button1.Location = new System.Drawing.Point(16, 150); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 6; - this.button1.Text = "Set"; - this.m_toolTip.SetToolTip(this.button1, "Sets the reference coordinates"); - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnSetReference); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(517, 163); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 22; - this.button2.Text = "Convert"; - this.m_toolTip.SetToolTip(this.button2, "Executes the current function"); - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnConvert); - // - // groupBox1 - // - this.groupBox1.Controls.Add(this.m_setButton); - this.groupBox1.Controls.Add(this.m_flatteningTextBox); - this.groupBox1.Controls.Add(this.label1); - this.groupBox1.Controls.Add(this.m_equatorialRadiusTextBox); - this.groupBox1.Controls.Add(this.label2); - this.groupBox1.Location = new System.Drawing.Point(3, 3); - this.groupBox1.Name = "groupBox1"; - this.groupBox1.Size = new System.Drawing.Size(146, 140); - this.groupBox1.TabIndex = 6; - this.groupBox1.TabStop = false; - this.groupBox1.Text = "Ellipsoid Parameters"; - // - // m_flatteningTextBox - // - this.m_flatteningTextBox.Location = new System.Drawing.Point(12, 83); - this.m_flatteningTextBox.Name = "m_flatteningTextBox"; - this.m_flatteningTextBox.Size = new System.Drawing.Size(125, 20); - this.m_flatteningTextBox.TabIndex = 3; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(12, 25); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(109, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Equatorial Radius (meters)"; - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(12, 42); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(125, 20); - this.m_equatorialRadiusTextBox.TabIndex = 2; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(12, 66); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(53, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Flattening"; - // - // groupBox2 - // - this.groupBox2.Controls.Add(this.button1); - this.groupBox2.Controls.Add(this.m_altitudeTextBox); - this.groupBox2.Controls.Add(this.label5); - this.groupBox2.Controls.Add(this.m_longitudeTextBox); - this.groupBox2.Controls.Add(this.label4); - this.groupBox2.Controls.Add(this.m_latitudeTextBox); - this.groupBox2.Controls.Add(this.label3); - this.groupBox2.Location = new System.Drawing.Point(155, 6); - this.groupBox2.Name = "groupBox2"; - this.groupBox2.Size = new System.Drawing.Size(128, 178); - this.groupBox2.TabIndex = 7; - this.groupBox2.TabStop = false; - this.groupBox2.Text = "Origin"; - // - // m_altitudeTextBox - // - this.m_altitudeTextBox.Location = new System.Drawing.Point(16, 123); - this.m_altitudeTextBox.Name = "m_altitudeTextBox"; - this.m_altitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_altitudeTextBox.TabIndex = 5; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(13, 106); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(82, 13); - this.label5.TabIndex = 4; - this.label5.Text = "Altitude (meters)"; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(13, 79); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_longitudeTextBox.TabIndex = 3; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(10, 63); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(101, 13); - this.label4.TabIndex = 2; - this.label4.Text = "Longitude (degrees)"; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(10, 38); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_latitudeTextBox.TabIndex = 1; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(7, 22); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(92, 13); - this.label3.TabIndex = 0; - this.label3.Text = "Latitude (degrees)"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(295, 10); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(92, 13); - this.label6.TabIndex = 8; - this.label6.Text = "Latitude (degrees)"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(295, 36); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(101, 13); - this.label7.TabIndex = 9; - this.label7.Text = "Longitude (degrees)"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(295, 62); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(82, 13); - this.label8.TabIndex = 10; - this.label8.Text = "Altitude (meters)"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(295, 88); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(54, 13); - this.label9.TabIndex = 11; - this.label9.Text = "X (meters)"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(295, 114); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(54, 13); - this.label10.TabIndex = 12; - this.label10.Text = "Y (meters)"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(295, 140); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(54, 13); - this.label11.TabIndex = 13; - this.label11.Text = "Z (meters)"; - // - // m_latTextBox - // - this.m_latTextBox.Location = new System.Drawing.Point(405, 6); - this.m_latTextBox.Name = "m_latTextBox"; - this.m_latTextBox.Size = new System.Drawing.Size(100, 20); - this.m_latTextBox.TabIndex = 14; - // - // m_lonTextBox - // - this.m_lonTextBox.Location = new System.Drawing.Point(405, 32); - this.m_lonTextBox.Name = "m_lonTextBox"; - this.m_lonTextBox.Size = new System.Drawing.Size(100, 20); - this.m_lonTextBox.TabIndex = 15; - // - // m_altTextBox - // - this.m_altTextBox.Location = new System.Drawing.Point(405, 58); - this.m_altTextBox.Name = "m_altTextBox"; - this.m_altTextBox.Size = new System.Drawing.Size(100, 20); - this.m_altTextBox.TabIndex = 16; - // - // m_XTextBox - // - this.m_XTextBox.Location = new System.Drawing.Point(405, 84); - this.m_XTextBox.Name = "m_XTextBox"; - this.m_XTextBox.Size = new System.Drawing.Size(100, 20); - this.m_XTextBox.TabIndex = 17; - // - // m_YTextBox - // - this.m_YTextBox.Location = new System.Drawing.Point(405, 110); - this.m_YTextBox.Name = "m_YTextBox"; - this.m_YTextBox.Size = new System.Drawing.Size(100, 20); - this.m_YTextBox.TabIndex = 18; - // - // m_ZTextBox - // - this.m_ZTextBox.Location = new System.Drawing.Point(405, 136); - this.m_ZTextBox.Name = "m_ZTextBox"; - this.m_ZTextBox.Size = new System.Drawing.Size(100, 20); - this.m_ZTextBox.TabIndex = 19; - // - // m_functionComboBox - // - this.m_functionComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_functionComboBox.FormattingEnabled = true; - this.m_functionComboBox.Items.AddRange(new object[] { - "Forward", - "Reverse"}); - this.m_functionComboBox.Location = new System.Drawing.Point(405, 163); - this.m_functionComboBox.Name = "m_functionComboBox"; - this.m_functionComboBox.Size = new System.Drawing.Size(100, 21); - this.m_functionComboBox.TabIndex = 20; - this.m_functionComboBox.SelectedIndexChanged += new System.EventHandler(this.OnNewFunction); - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(295, 167); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(48, 13); - this.label12.TabIndex = 21; - this.label12.Text = "Function"; - // - // groupBox3 - // - this.groupBox3.Controls.Add(this.m_textBox22); - this.groupBox3.Controls.Add(this.m_textBox20); - this.groupBox3.Controls.Add(this.m_textBox21); - this.groupBox3.Controls.Add(this.m_textBox12); - this.groupBox3.Controls.Add(this.m_textBox10); - this.groupBox3.Controls.Add(this.m_textBox11); - this.groupBox3.Controls.Add(this.m_textBox02); - this.groupBox3.Controls.Add(this.m_textBox00); - this.groupBox3.Controls.Add(this.m_textBox01); - this.groupBox3.Location = new System.Drawing.Point(511, 10); - this.groupBox3.Name = "groupBox3"; - this.groupBox3.Size = new System.Drawing.Size(325, 99); - this.groupBox3.TabIndex = 25; - this.groupBox3.TabStop = false; - this.groupBox3.Text = "Rotation Matrix"; - // - // m_textBox22 - // - this.m_textBox22.Location = new System.Drawing.Point(218, 74); - this.m_textBox22.Name = "m_textBox22"; - this.m_textBox22.ReadOnly = true; - this.m_textBox22.Size = new System.Drawing.Size(100, 20); - this.m_textBox22.TabIndex = 30; - // - // m_textBox20 - // - this.m_textBox20.Location = new System.Drawing.Point(6, 74); - this.m_textBox20.Name = "m_textBox20"; - this.m_textBox20.ReadOnly = true; - this.m_textBox20.Size = new System.Drawing.Size(100, 20); - this.m_textBox20.TabIndex = 28; - // - // m_textBox21 - // - this.m_textBox21.Location = new System.Drawing.Point(112, 74); - this.m_textBox21.Name = "m_textBox21"; - this.m_textBox21.ReadOnly = true; - this.m_textBox21.Size = new System.Drawing.Size(100, 20); - this.m_textBox21.TabIndex = 29; - // - // m_textBox12 - // - this.m_textBox12.Location = new System.Drawing.Point(218, 50); - this.m_textBox12.Name = "m_textBox12"; - this.m_textBox12.ReadOnly = true; - this.m_textBox12.Size = new System.Drawing.Size(100, 20); - this.m_textBox12.TabIndex = 27; - // - // m_textBox10 - // - this.m_textBox10.Location = new System.Drawing.Point(6, 50); - this.m_textBox10.Name = "m_textBox10"; - this.m_textBox10.ReadOnly = true; - this.m_textBox10.Size = new System.Drawing.Size(100, 20); - this.m_textBox10.TabIndex = 25; - // - // m_textBox11 - // - this.m_textBox11.Location = new System.Drawing.Point(112, 50); - this.m_textBox11.Name = "m_textBox11"; - this.m_textBox11.ReadOnly = true; - this.m_textBox11.Size = new System.Drawing.Size(100, 20); - this.m_textBox11.TabIndex = 26; - // - // m_textBox02 - // - this.m_textBox02.Location = new System.Drawing.Point(218, 25); - this.m_textBox02.Name = "m_textBox02"; - this.m_textBox02.ReadOnly = true; - this.m_textBox02.Size = new System.Drawing.Size(100, 20); - this.m_textBox02.TabIndex = 24; - // - // m_textBox00 - // - this.m_textBox00.Location = new System.Drawing.Point(6, 25); - this.m_textBox00.Name = "m_textBox00"; - this.m_textBox00.ReadOnly = true; - this.m_textBox00.Size = new System.Drawing.Size(100, 20); - this.m_textBox00.TabIndex = 22; - // - // m_textBox01 - // - this.m_textBox01.Location = new System.Drawing.Point(112, 25); - this.m_textBox01.Name = "m_textBox01"; - this.m_textBox01.ReadOnly = true; - this.m_textBox01.Size = new System.Drawing.Size(100, 20); - this.m_textBox01.TabIndex = 23; - // - // button3 - // - this.button3.Location = new System.Drawing.Point(18, 155); - this.button3.Name = "button3"; - this.button3.Size = new System.Drawing.Size(75, 23); - this.button3.TabIndex = 26; - this.button3.Text = "Validate"; - this.m_toolTip.SetToolTip(this.button3, "Verifies LocalCartesian Interfaces"); - this.button3.UseVisualStyleBackColor = true; - this.button3.Click += new System.EventHandler(this.OnValidate); - // - // LocalCartesianPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.button3); - this.Controls.Add(this.groupBox3); - this.Controls.Add(this.button2); - this.Controls.Add(this.label12); - this.Controls.Add(this.m_functionComboBox); - this.Controls.Add(this.m_ZTextBox); - this.Controls.Add(this.m_YTextBox); - this.Controls.Add(this.m_XTextBox); - this.Controls.Add(this.m_altTextBox); - this.Controls.Add(this.m_lonTextBox); - this.Controls.Add(this.m_latTextBox); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.groupBox2); - this.Controls.Add(this.groupBox1); - this.Name = "LocalCartesianPanel"; - this.Size = new System.Drawing.Size(842, 295); - this.groupBox1.ResumeLayout(false); - this.groupBox1.PerformLayout(); - this.groupBox2.ResumeLayout(false); - this.groupBox2.PerformLayout(); - this.groupBox3.ResumeLayout(false); - this.groupBox3.PerformLayout(); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.GroupBox groupBox1; - private System.Windows.Forms.Button m_setButton; - private System.Windows.Forms.TextBox m_flatteningTextBox; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.GroupBox groupBox2; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.TextBox m_altitudeTextBox; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.TextBox m_latTextBox; - private System.Windows.Forms.TextBox m_lonTextBox; - private System.Windows.Forms.TextBox m_altTextBox; - private System.Windows.Forms.TextBox m_XTextBox; - private System.Windows.Forms.TextBox m_YTextBox; - private System.Windows.Forms.TextBox m_ZTextBox; - private System.Windows.Forms.ComboBox m_functionComboBox; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.GroupBox groupBox3; - private System.Windows.Forms.TextBox m_textBox22; - private System.Windows.Forms.TextBox m_textBox20; - private System.Windows.Forms.TextBox m_textBox21; - private System.Windows.Forms.TextBox m_textBox12; - private System.Windows.Forms.TextBox m_textBox10; - private System.Windows.Forms.TextBox m_textBox11; - private System.Windows.Forms.TextBox m_textBox02; - private System.Windows.Forms.TextBox m_textBox00; - private System.Windows.Forms.TextBox m_textBox01; - private System.Windows.Forms.Button button3; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.cs deleted file mode 100644 index 0bb3a578fbc7fb787ed24be7f4791cce3c697235..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.cs +++ /dev/null @@ -1,173 +0,0 @@ -/** - * \file NETGeographicLib\LocalCartesianPanel.cs - * \brief NETGeographicLib.LocalCartesian example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class LocalCartesianPanel : UserControl - { - LocalCartesian m_lc = null; - enum Functions - { - Forward, - Reverse - }; - Functions m_function = Functions.Forward; - - public LocalCartesianPanel() - { - InitializeComponent(); - - Geocentric g = new Geocentric(); - m_majorRadiusTextBox.Text = g.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = g.Flattening.ToString(); - m_lc = new LocalCartesian(g); - m_functionComboBox.SelectedIndex = (int)m_function; - } - - private void OnSetEllipsoid(object sender, EventArgs e) - { - double a, f; - try - { - a = Double.Parse(m_majorRadiusTextBox.Text); - f = Double.Parse(m_flatteningTextBox.Text); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Data Entry Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - - try - { - m_lc = new LocalCartesian(new Geocentric(a, f)); - } - catch (GeographicErr err) - { - MessageBox.Show(err.Message, "GeographicLib error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnSetReference(object sender, EventArgs e) - { - double lat, lon, alt; - try - { - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - alt = Double.Parse(m_altitudeTextBox.Text); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Data Entry Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - - m_lc.Reset(lat, lon, alt); - } - - private void OnConvert(object sender, EventArgs e) - { - try - { - double lat, lon, alt, x, y, z; - double[,] rot = null; - switch (m_function) - { - case Functions.Forward: - lat = Double.Parse(m_latTextBox.Text); - lon = Double.Parse(m_lonTextBox.Text); - alt = Double.Parse(m_altTextBox.Text); - m_lc.Forward(lat, lon, alt, out x, out y, out z, out rot); - m_XTextBox.Text = x.ToString("0.00###"); - m_YTextBox.Text = y.ToString("0.00###"); - m_ZTextBox.Text = z.ToString("0.00###"); - break; - case Functions.Reverse: - x = Double.Parse(m_XTextBox.Text); - y = Double.Parse(m_YTextBox.Text); - z = Double.Parse(m_ZTextBox.Text); - m_lc.Reverse(x, y, z, out lat, out lon, out alt, out rot); - m_latTextBox.Text = lat.ToString(); - m_lonTextBox.Text = lon.ToString(); - m_altTextBox.Text = alt.ToString(); - break; - } - m_textBox00.Text = rot[0, 0].ToString("#.000000000000"); - m_textBox01.Text = rot[0, 1].ToString("#.000000000000"); - m_textBox02.Text = rot[0, 2].ToString("#.000000000000"); - m_textBox10.Text = rot[1, 0].ToString("#.000000000000"); - m_textBox11.Text = rot[1, 1].ToString("#.000000000000"); - m_textBox12.Text = rot[1, 2].ToString("#.000000000000"); - m_textBox20.Text = rot[2, 0].ToString("#.000000000000"); - m_textBox21.Text = rot[2, 1].ToString("#.000000000000"); - m_textBox22.Text = rot[2, 2].ToString("#.000000000000"); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnNewFunction(object sender, EventArgs e) - { - m_function = (Functions)m_functionComboBox.SelectedIndex; - switch (m_function) - { - case Functions.Forward: - m_latTextBox.ReadOnly = m_lonTextBox.ReadOnly = m_altTextBox.ReadOnly = false; - m_XTextBox.ReadOnly = m_YTextBox.ReadOnly = m_ZTextBox.ReadOnly = true; - break; - case Functions.Reverse: - m_latTextBox.ReadOnly = m_lonTextBox.ReadOnly = m_altTextBox.ReadOnly = true; - m_XTextBox.ReadOnly = m_YTextBox.ReadOnly = m_ZTextBox.ReadOnly = false; - break; - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - LocalCartesian p = new LocalCartesian(); - p = new LocalCartesian(new Geocentric()); - p = new LocalCartesian(32.0, -86.0, 45.0); - p = new LocalCartesian(32.0, -86.0, 45.0, new Geocentric()); - double x, y, z, x1, y1, z1; - double[,] rot; - p.Forward(32.0, -86.0, 45.0, out x, out y, out z, out rot); - p.Forward(32.0, -86.0, 45.0, out x1, out y1, out z1); - if (x != x1 || y != y1 || z != z1) - throw new Exception("Error in Forward"); - double lat, lon, alt; - p.Reverse(x, y, z, out lat, out lon, out alt, out rot); - p.Reverse(x, y, z, out x1, out y1, out z1); - if (lat != x1 || lon != y1 || alt != z1) - throw new Exception("Error in Reverse"); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.resx deleted file mode 100644 index 3ec30e045320778f2e0b8b29b0f198907a187341..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/LocalCartesianPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.Designer.cs deleted file mode 100644 index 17d3453e3a0daffa7e5ec9acfed204ba50399dca..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.Designer.cs +++ /dev/null @@ -1,411 +0,0 @@ -namespace Projections -{ - partial class MagneticPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.toolTip1 = new System.Windows.Forms.ToolTip(this.components); - this.m_validateButton = new System.Windows.Forms.Button(); - this.m_dateTextBox = new System.Windows.Forms.TextBox(); - this.m_descriptionTextBox = new System.Windows.Forms.TextBox(); - this.m_nameTextBox = new System.Windows.Forms.TextBox(); - this.label4 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.label2 = new System.Windows.Forms.Label(); - this.button1 = new System.Windows.Forms.Button(); - this.label1 = new System.Windows.Forms.Label(); - this.m_magneticModelNameTextBox = new System.Windows.Forms.TextBox(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.m_timeTextBox = new System.Windows.Forms.TextBox(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_altitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_updateButton = new System.Windows.Forms.Button(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.m_mfXTextBox = new System.Windows.Forms.TextBox(); - this.m_mfYTextBox = new System.Windows.Forms.TextBox(); - this.label11 = new System.Windows.Forms.Label(); - this.label12 = new System.Windows.Forms.Label(); - this.label13 = new System.Windows.Forms.Label(); - this.m_mfZTextBox = new System.Windows.Forms.TextBox(); - this.m_mfdXTextBox = new System.Windows.Forms.TextBox(); - this.m_mfdYTextBox = new System.Windows.Forms.TextBox(); - this.m_mfdZTextBox = new System.Windows.Forms.TextBox(); - this.m_magCircButton = new System.Windows.Forms.Button(); - this.SuspendLayout(); - // - // m_validateButton - // - this.m_validateButton.Enabled = false; - this.m_validateButton.Location = new System.Drawing.Point(182, 126); - this.m_validateButton.Name = "m_validateButton"; - this.m_validateButton.Size = new System.Drawing.Size(75, 23); - this.m_validateButton.TabIndex = 37; - this.m_validateButton.Text = "Validate"; - this.m_validateButton.UseVisualStyleBackColor = true; - this.m_validateButton.Click += new System.EventHandler(this.OnValidate); - // - // m_dateTextBox - // - this.m_dateTextBox.Location = new System.Drawing.Point(82, 100); - this.m_dateTextBox.Name = "m_dateTextBox"; - this.m_dateTextBox.ReadOnly = true; - this.m_dateTextBox.Size = new System.Drawing.Size(299, 20); - this.m_dateTextBox.TabIndex = 36; - // - // m_descriptionTextBox - // - this.m_descriptionTextBox.Location = new System.Drawing.Point(82, 73); - this.m_descriptionTextBox.Name = "m_descriptionTextBox"; - this.m_descriptionTextBox.ReadOnly = true; - this.m_descriptionTextBox.Size = new System.Drawing.Size(299, 20); - this.m_descriptionTextBox.TabIndex = 35; - // - // m_nameTextBox - // - this.m_nameTextBox.Location = new System.Drawing.Point(82, 46); - this.m_nameTextBox.Name = "m_nameTextBox"; - this.m_nameTextBox.ReadOnly = true; - this.m_nameTextBox.Size = new System.Drawing.Size(299, 20); - this.m_nameTextBox.TabIndex = 34; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(9, 104); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(30, 13); - this.label4.TabIndex = 33; - this.label4.Text = "Date"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(9, 77); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(60, 13); - this.label3.TabIndex = 32; - this.label3.Text = "Description"; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(9, 50); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(35, 13); - this.label2.TabIndex = 31; - this.label2.Text = "Name"; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(388, 19); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(29, 23); - this.button1.TabIndex = 30; - this.button1.Text = "..."; - this.toolTip1.SetToolTip(this.button1, "Select gravity model file"); - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnSelectMagneticModel); - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(9, 4); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(83, 13); - this.label1.TabIndex = 29; - this.label1.Text = "Magnetic Model"; - // - // m_magneticModelNameTextBox - // - this.m_magneticModelNameTextBox.Location = new System.Drawing.Point(9, 20); - this.m_magneticModelNameTextBox.Name = "m_magneticModelNameTextBox"; - this.m_magneticModelNameTextBox.Size = new System.Drawing.Size(377, 20); - this.m_magneticModelNameTextBox.TabIndex = 28; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(429, 8); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(64, 13); - this.label5.TabIndex = 38; - this.label5.Text = "Time (years)"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(429, 34); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(101, 13); - this.label6.TabIndex = 39; - this.label6.Text = "Longitude (degrees)"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(429, 60); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(92, 13); - this.label7.TabIndex = 40; - this.label7.Text = "Latitude (degrees)"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(429, 86); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(82, 13); - this.label8.TabIndex = 41; - this.label8.Text = "Altitude (meters)"; - // - // m_timeTextBox - // - this.m_timeTextBox.Location = new System.Drawing.Point(544, 4); - this.m_timeTextBox.Name = "m_timeTextBox"; - this.m_timeTextBox.Size = new System.Drawing.Size(118, 20); - this.m_timeTextBox.TabIndex = 42; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(544, 30); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(118, 20); - this.m_longitudeTextBox.TabIndex = 43; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(544, 56); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(118, 20); - this.m_latitudeTextBox.TabIndex = 44; - // - // m_altitudeTextBox - // - this.m_altitudeTextBox.Location = new System.Drawing.Point(544, 82); - this.m_altitudeTextBox.Name = "m_altitudeTextBox"; - this.m_altitudeTextBox.Size = new System.Drawing.Size(118, 20); - this.m_altitudeTextBox.TabIndex = 45; - // - // m_updateButton - // - this.m_updateButton.Enabled = false; - this.m_updateButton.Location = new System.Drawing.Point(566, 108); - this.m_updateButton.Name = "m_updateButton"; - this.m_updateButton.Size = new System.Drawing.Size(75, 23); - this.m_updateButton.TabIndex = 46; - this.m_updateButton.Text = "Update"; - this.m_updateButton.UseVisualStyleBackColor = true; - this.m_updateButton.Click += new System.EventHandler(this.OnUpdate); - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(709, 8); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(76, 13); - this.label9.TabIndex = 47; - this.label9.Text = "Magnetic Field"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(814, 8); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(116, 13); - this.label10.TabIndex = 48; - this.label10.Text = "Magnetic Field Change"; - // - // m_mfXTextBox - // - this.m_mfXTextBox.Location = new System.Drawing.Point(688, 30); - this.m_mfXTextBox.Name = "m_mfXTextBox"; - this.m_mfXTextBox.ReadOnly = true; - this.m_mfXTextBox.Size = new System.Drawing.Size(118, 20); - this.m_mfXTextBox.TabIndex = 49; - // - // m_mfYTextBox - // - this.m_mfYTextBox.Location = new System.Drawing.Point(688, 56); - this.m_mfYTextBox.Name = "m_mfYTextBox"; - this.m_mfYTextBox.ReadOnly = true; - this.m_mfYTextBox.Size = new System.Drawing.Size(118, 20); - this.m_mfYTextBox.TabIndex = 50; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(668, 34); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(14, 13); - this.label11.TabIndex = 51; - this.label11.Text = "X"; - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(668, 60); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(14, 13); - this.label12.TabIndex = 52; - this.label12.Text = "Y"; - // - // label13 - // - this.label13.AutoSize = true; - this.label13.Location = new System.Drawing.Point(668, 86); - this.label13.Name = "label13"; - this.label13.Size = new System.Drawing.Size(14, 13); - this.label13.TabIndex = 53; - this.label13.Text = "Z"; - // - // m_mfZTextBox - // - this.m_mfZTextBox.Location = new System.Drawing.Point(688, 82); - this.m_mfZTextBox.Name = "m_mfZTextBox"; - this.m_mfZTextBox.ReadOnly = true; - this.m_mfZTextBox.Size = new System.Drawing.Size(118, 20); - this.m_mfZTextBox.TabIndex = 54; - // - // m_mfdXTextBox - // - this.m_mfdXTextBox.Location = new System.Drawing.Point(813, 30); - this.m_mfdXTextBox.Name = "m_mfdXTextBox"; - this.m_mfdXTextBox.ReadOnly = true; - this.m_mfdXTextBox.Size = new System.Drawing.Size(118, 20); - this.m_mfdXTextBox.TabIndex = 55; - // - // m_mfdYTextBox - // - this.m_mfdYTextBox.Location = new System.Drawing.Point(813, 56); - this.m_mfdYTextBox.Name = "m_mfdYTextBox"; - this.m_mfdYTextBox.ReadOnly = true; - this.m_mfdYTextBox.Size = new System.Drawing.Size(118, 20); - this.m_mfdYTextBox.TabIndex = 56; - // - // m_mfdZTextBox - // - this.m_mfdZTextBox.Location = new System.Drawing.Point(813, 82); - this.m_mfdZTextBox.Name = "m_mfdZTextBox"; - this.m_mfdZTextBox.ReadOnly = true; - this.m_mfdZTextBox.Size = new System.Drawing.Size(118, 20); - this.m_mfdZTextBox.TabIndex = 57; - // - // m_magCircButton - // - this.m_magCircButton.Enabled = false; - this.m_magCircButton.Location = new System.Drawing.Point(712, 108); - this.m_magCircButton.Name = "m_magCircButton"; - this.m_magCircButton.Size = new System.Drawing.Size(197, 23); - this.m_magCircButton.TabIndex = 58; - this.m_magCircButton.Text = "Use MagneticCircle to update Field"; - this.m_magCircButton.UseVisualStyleBackColor = true; - this.m_magCircButton.Click += new System.EventHandler(this.OnMagneticCircle); - // - // MagneticPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.m_magCircButton); - this.Controls.Add(this.m_mfdZTextBox); - this.Controls.Add(this.m_mfdYTextBox); - this.Controls.Add(this.m_mfdXTextBox); - this.Controls.Add(this.m_mfZTextBox); - this.Controls.Add(this.label13); - this.Controls.Add(this.label12); - this.Controls.Add(this.label11); - this.Controls.Add(this.m_mfYTextBox); - this.Controls.Add(this.m_mfXTextBox); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.m_updateButton); - this.Controls.Add(this.m_altitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.m_timeTextBox); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.m_validateButton); - this.Controls.Add(this.m_dateTextBox); - this.Controls.Add(this.m_descriptionTextBox); - this.Controls.Add(this.m_nameTextBox); - this.Controls.Add(this.label4); - this.Controls.Add(this.label3); - this.Controls.Add(this.label2); - this.Controls.Add(this.button1); - this.Controls.Add(this.label1); - this.Controls.Add(this.m_magneticModelNameTextBox); - this.Name = "MagneticPanel"; - this.Size = new System.Drawing.Size(984, 428); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.ToolTip toolTip1; - private System.Windows.Forms.Button m_validateButton; - private System.Windows.Forms.TextBox m_dateTextBox; - private System.Windows.Forms.TextBox m_descriptionTextBox; - private System.Windows.Forms.TextBox m_nameTextBox; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_magneticModelNameTextBox; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.TextBox m_timeTextBox; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_altitudeTextBox; - private System.Windows.Forms.Button m_updateButton; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.TextBox m_mfXTextBox; - private System.Windows.Forms.TextBox m_mfYTextBox; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.Label label13; - private System.Windows.Forms.TextBox m_mfZTextBox; - private System.Windows.Forms.TextBox m_mfdXTextBox; - private System.Windows.Forms.TextBox m_mfdYTextBox; - private System.Windows.Forms.TextBox m_mfdZTextBox; - private System.Windows.Forms.Button m_magCircButton; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.cs deleted file mode 100644 index 31636060c844cb9ba79b6d81ec8905deb4220f74..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.cs +++ /dev/null @@ -1,148 +0,0 @@ -/** - * \file NETGeographicLib\MagneticPanel.cs - * \brief NETGeographicLib.MagneticModel example - * - * NETGeographicLib.MagneticModel and - * NETGeographicLib.MagneticCircle example. - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class MagneticPanel : UserControl - { - string m_path, m_name; - MagneticModel m_magnetic = null; - - public MagneticPanel() - { - InitializeComponent(); - } - - private void OnSelectMagneticModel(object sender, EventArgs e) - { - OpenFileDialog dlg = new OpenFileDialog(); - dlg.Filter = "Magnetic Model (*.wmm)|*.wmm"; - dlg.DefaultExt = "wmm"; - - if (dlg.ShowDialog() == DialogResult.Cancel) return; - - m_path = dlg.FileName.Substring(0, dlg.FileName.LastIndexOf('\\')).Replace('\\', '/'); - int length = dlg.FileName.LastIndexOf('.') - dlg.FileName.LastIndexOf('\\') - 1; - m_name = dlg.FileName.Substring(dlg.FileName.LastIndexOf('\\') + 1, length); - - try - { - m_magnetic = new MagneticModel(m_name, m_path); - m_magneticModelNameTextBox.Text = dlg.FileName; - m_nameTextBox.Text = m_magnetic.MagneticModelName; - m_descriptionTextBox.Text = m_magnetic.Description; - m_dateTextBox.Text = m_magnetic.DateTime; - m_updateButton.Enabled = true; - m_magCircButton.Enabled = true; - m_validateButton.Enabled = true; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - - } - - private void OnUpdate(object sender, EventArgs e) - { - try - { - double time = Double.Parse(m_timeTextBox.Text); - double lon = Double.Parse(m_longitudeTextBox.Text); - double lat = Double.Parse(m_latitudeTextBox.Text); - double alt = Double.Parse(m_altitudeTextBox.Text); - - double bx, by, bz, bxt, byt, bzt; - m_magnetic.Field(time, lat, lon, alt, out bx, out by, out bz, out bxt, out byt, out bzt); - m_mfXTextBox.Text = bx.ToString(); - m_mfYTextBox.Text = by.ToString(); - m_mfZTextBox.Text = bz.ToString(); - m_mfdXTextBox.Text = bxt.ToString(); - m_mfdYTextBox.Text = byt.ToString(); - m_mfdZTextBox.Text = bzt.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnMagneticCircle(object sender, EventArgs e) - { - try - { - double time = Double.Parse(m_timeTextBox.Text); - double lon = Double.Parse(m_longitudeTextBox.Text); - double lat = Double.Parse(m_latitudeTextBox.Text); - double alt = Double.Parse(m_altitudeTextBox.Text); - - double bx, by, bz, bxt, byt, bzt; - MagneticCircle mc = m_magnetic.Circle(time, lat, alt); - mc.Field(lon, out bx, out by, out bz, out bxt, out byt, out bzt); - m_mfXTextBox.Text = bx.ToString(); - m_mfYTextBox.Text = by.ToString(); - m_mfZTextBox.Text = bz.ToString(); - m_mfdXTextBox.Text = bxt.ToString(); - m_mfdYTextBox.Text = byt.ToString(); - m_mfdZTextBox.Text = bzt.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - double bx, by, bz, bxt, byt, bzt, x, y, z; - double time = 1.0; - double lon = -86.0; - double lat = 32.0; - double alt = 30.0; - - MagneticModel mag = new MagneticModel(m_name, m_path, new Geocentric()); - mag = new MagneticModel(m_name, m_path); - mag.Field(time, lat, lon, alt, out bx, out by, out bz, out bxt, out byt, out bzt); - mag.Field(time, lat, lon, alt, out x, out y, out z); - if (bx != x || by != y || bz != z) - throw new Exception("Error in MagneticField.Field"); - MagneticCircle mc = mag.Circle(time, lat, alt); - mc.Field(lon, out bx, out by, out bz); - mc.Field(lon, out x, out y, out z, out bxt, out byt, out bzt); - if (bx != x || by != y || bz != z ) - throw new Exception("Error in MagneticCircle.Field (2)"); - - double dtest = Utility.FractionalYear("2015.34"); - dtest = Utility.FractionalYear("2015-07-31"); - - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.resx deleted file mode 100644 index 749de3c20460c12ec5df7fe2f7b2d70c0c16cb4f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/MagneticPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.Designer.cs deleted file mode 100644 index b43a764ab410149beb37b8633e1c738962f303c4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.Designer.cs +++ /dev/null @@ -1,217 +0,0 @@ -namespace Projections -{ - partial class MiscPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.label1 = new System.Windows.Forms.Label(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.m_longitudeDMSTextBox = new System.Windows.Forms.TextBox(); - this.label4 = new System.Windows.Forms.Label(); - this.m_latitudeDMSTextBox = new System.Windows.Forms.TextBox(); - this.m_LongitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_geohashTextBox = new System.Windows.Forms.TextBox(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.button3 = new System.Windows.Forms.Button(); - this.button4 = new System.Windows.Forms.Button(); - this.m_comboBox = new System.Windows.Forms.ComboBox(); - this.SuspendLayout(); - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(13, 33); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(54, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Longitude"; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(120, 4); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(31, 13); - this.label2.TabIndex = 1; - this.label2.Text = "DMS"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(229, 4); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(88, 13); - this.label3.TabIndex = 2; - this.label3.Text = "Decimal Degrees"; - // - // m_longitudeDMSTextBox - // - this.m_longitudeDMSTextBox.Location = new System.Drawing.Point(86, 29); - this.m_longitudeDMSTextBox.Name = "m_longitudeDMSTextBox"; - this.m_longitudeDMSTextBox.Size = new System.Drawing.Size(100, 20); - this.m_longitudeDMSTextBox.TabIndex = 3; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(13, 63); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(45, 13); - this.label4.TabIndex = 4; - this.label4.Text = "Latitude"; - // - // m_latitudeDMSTextBox - // - this.m_latitudeDMSTextBox.Location = new System.Drawing.Point(86, 56); - this.m_latitudeDMSTextBox.Name = "m_latitudeDMSTextBox"; - this.m_latitudeDMSTextBox.Size = new System.Drawing.Size(100, 20); - this.m_latitudeDMSTextBox.TabIndex = 5; - // - // m_LongitudeTextBox - // - this.m_LongitudeTextBox.Location = new System.Drawing.Point(203, 29); - this.m_LongitudeTextBox.Name = "m_LongitudeTextBox"; - this.m_LongitudeTextBox.Size = new System.Drawing.Size(137, 20); - this.m_LongitudeTextBox.TabIndex = 6; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(203, 55); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(137, 20); - this.m_latitudeTextBox.TabIndex = 7; - // - // m_geohashTextBox - // - this.m_geohashTextBox.Location = new System.Drawing.Point(360, 43); - this.m_geohashTextBox.Name = "m_geohashTextBox"; - this.m_geohashTextBox.Size = new System.Drawing.Size(155, 20); - this.m_geohashTextBox.TabIndex = 8; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(96, 83); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 10; - this.button1.Text = "Convert ->"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnConvertDMS); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(229, 83); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(85, 23); - this.button2.TabIndex = 11; - this.button2.Text = "<- Convert ->"; - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnConvert); - // - // button3 - // - this.button3.Location = new System.Drawing.Point(400, 83); - this.button3.Name = "button3"; - this.button3.Size = new System.Drawing.Size(75, 23); - this.button3.TabIndex = 12; - this.button3.Text = "<- Convert"; - this.button3.UseVisualStyleBackColor = true; - this.button3.Click += new System.EventHandler(this.OnConvertGeohash); - // - // button4 - // - this.button4.Location = new System.Drawing.Point(541, 4); - this.button4.Name = "button4"; - this.button4.Size = new System.Drawing.Size(75, 23); - this.button4.TabIndex = 13; - this.button4.Text = "Validate"; - this.button4.UseVisualStyleBackColor = true; - this.button4.Click += new System.EventHandler(this.OnValidate); - // - // m_comboBox - // - this.m_comboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_comboBox.FormattingEnabled = true; - this.m_comboBox.Items.AddRange(new object[] { - "Geohash", - "GARS", - "Georef"}); - this.m_comboBox.Location = new System.Drawing.Point(376, 4); - this.m_comboBox.Name = "m_comboBox"; - this.m_comboBox.Size = new System.Drawing.Size(121, 21); - this.m_comboBox.TabIndex = 14; - this.m_toolTip.SetToolTip(this.m_comboBox, "Select the reference system"); - // - // MiscPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.m_comboBox); - this.Controls.Add(this.button4); - this.Controls.Add(this.button3); - this.Controls.Add(this.button2); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_geohashTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.m_LongitudeTextBox); - this.Controls.Add(this.m_latitudeDMSTextBox); - this.Controls.Add(this.label4); - this.Controls.Add(this.m_longitudeDMSTextBox); - this.Controls.Add(this.label3); - this.Controls.Add(this.label2); - this.Controls.Add(this.label1); - this.Name = "MiscPanel"; - this.Size = new System.Drawing.Size(977, 389); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.TextBox m_longitudeDMSTextBox; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.TextBox m_latitudeDMSTextBox; - private System.Windows.Forms.TextBox m_LongitudeTextBox; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_geohashTextBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.Button button3; - private System.Windows.Forms.Button button4; - private System.Windows.Forms.ComboBox m_comboBox; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.cs deleted file mode 100644 index 52645201f7edebaa124d7d6f4e03fa8ecf7d690a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.cs +++ /dev/null @@ -1,144 +0,0 @@ -/** - * \file NETGeographicLib\MiscPanel.cs - * \brief NETGeographicLib.DMS and NETGeographicLib.Geohash example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class MiscPanel : UserControl - { - public MiscPanel() - { - InitializeComponent(); - m_comboBox.SelectedIndex = 0; - } - - private void OnConvertDMS(object sender, EventArgs e) - { - try - { - DMS.Flag ind; - double lon = DMS.Decode(m_longitudeDMSTextBox.Text, out ind); - m_LongitudeTextBox.Text = lon.ToString(); - double lat = DMS.Decode(m_latitudeDMSTextBox.Text, out ind); - m_latitudeTextBox.Text = lat.ToString(); - string tmp = ""; - Geohash.Forward(lat, lon, 12, out tmp); - m_geohashTextBox.Text = tmp; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnConvert(object sender, EventArgs e) - { - try - { - double lon = Double.Parse(m_LongitudeTextBox.Text); - double lat = Double.Parse(m_latitudeTextBox.Text); - m_longitudeDMSTextBox.Text = DMS.Encode(lon, 5, DMS.Flag.LONGITUDE, 0); - m_latitudeDMSTextBox.Text = DMS.Encode(lat, 5, DMS.Flag.LATITUDE, 0); - string tmp = ""; - switch (m_comboBox.SelectedIndex) - { - case 0: // Geohash - Geohash.Forward(lat, lon, 12, out tmp); - break; - case 1: // GARS - GARS.Forward(lat, lon, 2, out tmp); - break; - case 2: // Georef - Georef.Forward(lat, lon, 2, out tmp); - break; - } - m_geohashTextBox.Text = tmp; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnConvertGeohash(object sender, EventArgs e) - { - try - { - double lat = 0.0, lon = 0.0; - int len; - switch (m_comboBox.SelectedIndex) - { - case 0: // Geohash - Geohash.Reverse(m_geohashTextBox.Text, out lat, out lon, out len, true); - break; - case 1: // GARS - GARS.Reverse(m_geohashTextBox.Text, out lat, out lon, out len, true); - break; - case 2: // Georef - Georef.Reverse(m_geohashTextBox.Text, out lat, out lon, out len, true); - break; - } - m_LongitudeTextBox.Text = lon.ToString(); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeDMSTextBox.Text = DMS.Encode(lon, 5, DMS.Flag.LONGITUDE, 0); - m_latitudeDMSTextBox.Text = DMS.Encode(lat, 5, DMS.Flag.LATITUDE, 0); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - double lat, lon, d, m, s; - DMS.Flag ind; - int len; - string tmp; - DMS.Decode("34d22\'34.567\"", out ind); - DMS.Decode(-86.0, 32.0, 34.214); - DMS.DecodeAngle("-67.4532"); - DMS.DecodeAzimuth("85.3245W"); - DMS.DecodeLatLon("86d34\'24.5621\"", "21d56\'32.1234\"", out lat, out lon, false); - DMS.Encode(-86.453214, out d, out m); - DMS.Encode(-86.453214, out d, out m, out s); - DMS.Encode(-86.453214, DMS.Component.SECOND, 12, DMS.Flag.LONGITUDE, 0); - DMS.Encode(-86.453214, 12, DMS.Flag.LONGITUDE, 0); - Geohash.DecimalPrecision(12); - Geohash.Forward(31.23456, -86.43678, 12, out tmp); - Geohash.GeohashLength(0.001); - Geohash.GeohashLength(0.002, 0.003); - Geohash.LatitudeResolution(12); - Geohash.LongitudeResolution(12); - Geohash.Reverse("djds54mrfc0g", out lat, out lon, out len, true); - GARS.Forward(32.0, -86.0, 2, out tmp); - GARS.Reverse("189LE37", out lat, out lon, out len, true); - Georef.Forward(32.0, -86.0, 2, out tmp); - Georef.Reverse("GJEC0000", out lat, out lon, out len, true); - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.resx deleted file mode 100644 index 3ec30e045320778f2e0b8b29b0f198907a187341..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/MiscPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.Designer.cs deleted file mode 100644 index 540eaab5d7636cd6ed6a4c115906b810f6a04dca..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.Designer.cs +++ /dev/null @@ -1,349 +0,0 @@ -namespace Projections -{ - partial class PolarStereoPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.groupBox1 = new System.Windows.Forms.GroupBox(); - this.m_setButton = new System.Windows.Forms.Button(); - this.m_flatteningTextBox = new System.Windows.Forms.TextBox(); - this.label1 = new System.Windows.Forms.Label(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.m_scaleTextBox = new System.Windows.Forms.TextBox(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.m_northPoleCheckBox = new System.Windows.Forms.CheckBox(); - this.label4 = new System.Windows.Forms.Label(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_xTextBox = new System.Windows.Forms.TextBox(); - this.m_yTextBox = new System.Windows.Forms.TextBox(); - this.m_gammaTextBox = new System.Windows.Forms.TextBox(); - this.m_kTextBox = new System.Windows.Forms.TextBox(); - this.label10 = new System.Windows.Forms.Label(); - this.m_functionComboBox = new System.Windows.Forms.ComboBox(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.groupBox1.SuspendLayout(); - this.SuspendLayout(); - // - // groupBox1 - // - this.groupBox1.Controls.Add(this.m_scaleTextBox); - this.groupBox1.Controls.Add(this.label3); - this.groupBox1.Controls.Add(this.m_setButton); - this.groupBox1.Controls.Add(this.m_flatteningTextBox); - this.groupBox1.Controls.Add(this.label1); - this.groupBox1.Controls.Add(this.m_equatorialRadiusTextBox); - this.groupBox1.Controls.Add(this.label2); - this.groupBox1.Location = new System.Drawing.Point(3, 3); - this.groupBox1.Name = "groupBox1"; - this.groupBox1.Size = new System.Drawing.Size(146, 184); - this.groupBox1.TabIndex = 20; - this.groupBox1.TabStop = false; - this.groupBox1.Text = "Ellipsoid Parameters"; - // - // m_setButton - // - this.m_setButton.Location = new System.Drawing.Point(15, 153); - this.m_setButton.Name = "m_setButton"; - this.m_setButton.Size = new System.Drawing.Size(75, 23); - this.m_setButton.TabIndex = 4; - this.m_setButton.Text = "Set"; - this.m_toolTip.SetToolTip(this.m_setButton, "Sets parameters"); - this.m_setButton.UseVisualStyleBackColor = true; - this.m_setButton.Click += new System.EventHandler(this.OnSet); - // - // m_flatteningTextBox - // - this.m_flatteningTextBox.Location = new System.Drawing.Point(12, 83); - this.m_flatteningTextBox.Name = "m_flatteningTextBox"; - this.m_flatteningTextBox.Size = new System.Drawing.Size(125, 20); - this.m_flatteningTextBox.TabIndex = 3; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(12, 25); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(109, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Equatorial Radius (meters)"; - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(12, 42); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(125, 20); - this.m_equatorialRadiusTextBox.TabIndex = 2; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(12, 66); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(53, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Flattening"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(12, 110); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(103, 13); - this.label3.TabIndex = 5; - this.label3.Text = "Central Scale Factor"; - // - // m_scaleTextBox - // - this.m_scaleTextBox.Location = new System.Drawing.Point(12, 127); - this.m_scaleTextBox.Name = "m_scaleTextBox"; - this.m_scaleTextBox.Size = new System.Drawing.Size(125, 20); - this.m_scaleTextBox.TabIndex = 6; - // - // m_northPoleCheckBox - // - this.m_northPoleCheckBox.AutoSize = true; - this.m_northPoleCheckBox.Checked = true; - this.m_northPoleCheckBox.CheckState = System.Windows.Forms.CheckState.Checked; - this.m_northPoleCheckBox.Location = new System.Drawing.Point(161, 4); - this.m_northPoleCheckBox.Name = "m_northPoleCheckBox"; - this.m_northPoleCheckBox.Size = new System.Drawing.Size(76, 17); - this.m_northPoleCheckBox.TabIndex = 21; - this.m_northPoleCheckBox.Text = "North Pole"; - this.m_toolTip.SetToolTip(this.m_northPoleCheckBox, "checked = Noth Pole, uncheck = South Pole"); - this.m_northPoleCheckBox.UseVisualStyleBackColor = true; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(161, 28); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(92, 13); - this.label4.TabIndex = 22; - this.label4.Text = "Latitude (degrees)"; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(161, 55); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(101, 13); - this.label5.TabIndex = 23; - this.label5.Text = "Longitude (degrees)"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(161, 81); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(54, 13); - this.label6.TabIndex = 24; - this.label6.Text = "X (meters)"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(161, 107); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(54, 13); - this.label7.TabIndex = 25; - this.label7.Text = "Y (meters)"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(161, 133); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(90, 13); - this.label8.TabIndex = 26; - this.label8.Text = "Gamma (degrees)"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(161, 159); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(34, 13); - this.label9.TabIndex = 27; - this.label9.Text = "Scale"; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(274, 25); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(120, 20); - this.m_latitudeTextBox.TabIndex = 28; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(274, 51); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(120, 20); - this.m_longitudeTextBox.TabIndex = 29; - // - // m_xTextBox - // - this.m_xTextBox.Location = new System.Drawing.Point(274, 77); - this.m_xTextBox.Name = "m_xTextBox"; - this.m_xTextBox.Size = new System.Drawing.Size(120, 20); - this.m_xTextBox.TabIndex = 30; - // - // m_yTextBox - // - this.m_yTextBox.Location = new System.Drawing.Point(274, 103); - this.m_yTextBox.Name = "m_yTextBox"; - this.m_yTextBox.Size = new System.Drawing.Size(120, 20); - this.m_yTextBox.TabIndex = 31; - // - // m_gammaTextBox - // - this.m_gammaTextBox.Location = new System.Drawing.Point(274, 129); - this.m_gammaTextBox.Name = "m_gammaTextBox"; - this.m_gammaTextBox.ReadOnly = true; - this.m_gammaTextBox.Size = new System.Drawing.Size(120, 20); - this.m_gammaTextBox.TabIndex = 32; - // - // m_kTextBox - // - this.m_kTextBox.Location = new System.Drawing.Point(274, 155); - this.m_kTextBox.Name = "m_kTextBox"; - this.m_kTextBox.ReadOnly = true; - this.m_kTextBox.Size = new System.Drawing.Size(120, 20); - this.m_kTextBox.TabIndex = 33; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(411, 4); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(48, 13); - this.label10.TabIndex = 34; - this.label10.Text = "Function"; - // - // m_functionComboBox - // - this.m_functionComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_functionComboBox.FormattingEnabled = true; - this.m_functionComboBox.Items.AddRange(new object[] { - "Forward", - "Reverse"}); - this.m_functionComboBox.Location = new System.Drawing.Point(414, 25); - this.m_functionComboBox.Name = "m_functionComboBox"; - this.m_functionComboBox.Size = new System.Drawing.Size(75, 21); - this.m_functionComboBox.TabIndex = 35; - this.m_functionComboBox.SelectedIndexChanged += new System.EventHandler(this.OnFunction); - // - // button1 - // - this.button1.Location = new System.Drawing.Point(414, 53); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 36; - this.button1.Text = "Convert"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnConvert); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(414, 155); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 37; - this.button2.Text = "Validate"; - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnValidate); - // - // PolarStereoPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.button2); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_functionComboBox); - this.Controls.Add(this.label10); - this.Controls.Add(this.m_kTextBox); - this.Controls.Add(this.m_gammaTextBox); - this.Controls.Add(this.m_yTextBox); - this.Controls.Add(this.m_xTextBox); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.label4); - this.Controls.Add(this.m_northPoleCheckBox); - this.Controls.Add(this.groupBox1); - this.Name = "PolarStereoPanel"; - this.Size = new System.Drawing.Size(779, 299); - this.groupBox1.ResumeLayout(false); - this.groupBox1.PerformLayout(); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.GroupBox groupBox1; - private System.Windows.Forms.Button m_setButton; - private System.Windows.Forms.TextBox m_flatteningTextBox; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.TextBox m_scaleTextBox; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.CheckBox m_northPoleCheckBox; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.TextBox m_xTextBox; - private System.Windows.Forms.TextBox m_yTextBox; - private System.Windows.Forms.TextBox m_gammaTextBox; - private System.Windows.Forms.TextBox m_kTextBox; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.ComboBox m_functionComboBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Button button2; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.cs deleted file mode 100644 index 25f7c280c32fdab564af4107274cecbf4d407723..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.cs +++ /dev/null @@ -1,130 +0,0 @@ -/** - * \file NETGeographicLib\PolarStereoPanel.cs - * \brief NETGeographicLib.PolarStereographic example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class PolarStereoPanel : UserControl - { - PolarStereographic m_polar = null; - - public PolarStereoPanel() - { - InitializeComponent(); - try - { - m_polar = new PolarStereographic(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - m_majorRadiusTextBox.Text = m_polar.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = m_polar.Flattening.ToString(); - m_scaleTextBox.Text = m_polar.CentralScale.ToString(); - m_functionComboBox.SelectedIndex = 0; - } - - private void OnSet(object sender, EventArgs e) - { - try - { - double a = Double.Parse(m_majorRadiusTextBox.Text); - double f = Double.Parse(m_flatteningTextBox.Text); - double k = Double.Parse(m_scaleTextBox.Text); - m_polar = new PolarStereographic(a, f, k); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnFunction(object sender, EventArgs e) - { - switch (m_functionComboBox.SelectedIndex) - { - case 0: - m_latitudeTextBox.ReadOnly = m_longitudeTextBox.ReadOnly = false; - m_xTextBox.ReadOnly = m_yTextBox.ReadOnly = true; - break; - case 1: - m_latitudeTextBox.ReadOnly = m_longitudeTextBox.ReadOnly = true; - m_xTextBox.ReadOnly = m_yTextBox.ReadOnly = false; - break; - } - } - - private void OnConvert(object sender, EventArgs e) - { - try - { - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, gamma = 0.0, k = 0.0; - switch (m_functionComboBox.SelectedIndex) - { - case 0: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - m_polar.Forward(m_northPoleCheckBox.Checked, lat, lon, out x, out y, out gamma, out k); - m_xTextBox.Text = x.ToString(); - m_yTextBox.Text = y.ToString(); - break; - case 1: - x = Double.Parse(m_xTextBox.Text); - y = Double.Parse(m_yTextBox.Text); - m_polar.Reverse(m_northPoleCheckBox.Checked, x, y, out lat, out lon, out gamma, out k); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - break; - } - m_gammaTextBox.Text = gamma.ToString(); - m_kTextBox.Text = k.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - double lat, lon, x, y, x1, y1, gamma, k; - PolarStereographic p = new PolarStereographic(m_polar.EquatorialRadius, m_polar.Flattening, m_polar.CentralScale); - p.SetScale(60.0, 1.0); - p = new PolarStereographic(); - p.Forward(true, 32.0, -86.0, out x, out y, out gamma, out k); - p.Forward(true, 32.0, -86.0, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in Forward"); - p.Reverse(true, x, y, out lat, out lon, out gamma, out k); - p.Reverse(true, x, y, out x1, out y1); - if ( lat != x1 || lon != y1 ) - throw new Exception("Error in Reverse"); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - MessageBox.Show("No errors detected", "Error", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.resx deleted file mode 100644 index 338d70e3490b1a0546e755026c32929b9d784842..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/PolarStereoPanel.resx +++ /dev/null @@ -1,126 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.Designer.cs deleted file mode 100644 index 3b8f2219c49123c8b87d623d24ff8c678bb8c3ec..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.Designer.cs +++ /dev/null @@ -1,389 +0,0 @@ -namespace Projections -{ - partial class PolyPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.groupBox1 = new System.Windows.Forms.GroupBox(); - this.m_setButton = new System.Windows.Forms.Button(); - this.m_flatteningTextBox = new System.Windows.Forms.TextBox(); - this.label1 = new System.Windows.Forms.Label(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.label4 = new System.Windows.Forms.Label(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.button1 = new System.Windows.Forms.Button(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.m_azimuthTextBox = new System.Windows.Forms.TextBox(); - this.m_distanceTextBox = new System.Windows.Forms.TextBox(); - this.m_edgeButton = new System.Windows.Forms.Button(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.m_numPointsTextBox = new System.Windows.Forms.TextBox(); - this.m_currLatTextBox = new System.Windows.Forms.TextBox(); - this.m_currLonTextBox = new System.Windows.Forms.TextBox(); - this.m_lengthTextBox = new System.Windows.Forms.TextBox(); - this.m_areaTextBox = new System.Windows.Forms.TextBox(); - this.button2 = new System.Windows.Forms.Button(); - this.button3 = new System.Windows.Forms.Button(); - this.m_polylineCheckBox = new System.Windows.Forms.CheckBox(); - this.groupBox1.SuspendLayout(); - this.SuspendLayout(); - // - // groupBox1 - // - this.groupBox1.Controls.Add(this.m_polylineCheckBox); - this.groupBox1.Controls.Add(this.m_setButton); - this.groupBox1.Controls.Add(this.m_flatteningTextBox); - this.groupBox1.Controls.Add(this.label1); - this.groupBox1.Controls.Add(this.m_equatorialRadiusTextBox); - this.groupBox1.Controls.Add(this.label2); - this.groupBox1.Location = new System.Drawing.Point(3, 3); - this.groupBox1.Name = "groupBox1"; - this.groupBox1.Size = new System.Drawing.Size(146, 169); - this.groupBox1.TabIndex = 6; - this.groupBox1.TabStop = false; - this.groupBox1.Text = "Ellipsoid Parameters"; - // - // m_setButton - // - this.m_setButton.Location = new System.Drawing.Point(30, 135); - this.m_setButton.Name = "m_setButton"; - this.m_setButton.Size = new System.Drawing.Size(75, 23); - this.m_setButton.TabIndex = 4; - this.m_setButton.Text = "Set"; - this.m_setButton.UseVisualStyleBackColor = true; - this.m_setButton.Click += new System.EventHandler(this.OnSet); - // - // m_flatteningTextBox - // - this.m_flatteningTextBox.Location = new System.Drawing.Point(12, 83); - this.m_flatteningTextBox.Name = "m_flatteningTextBox"; - this.m_flatteningTextBox.Size = new System.Drawing.Size(125, 20); - this.m_flatteningTextBox.TabIndex = 3; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(12, 25); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(109, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Equatorial Radius (meters)"; - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(12, 42); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(125, 20); - this.m_equatorialRadiusTextBox.TabIndex = 2; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(12, 66); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(53, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Flattening"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(154, 10); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(92, 13); - this.label3.TabIndex = 7; - this.label3.Text = "Latitude (degrees)"; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(154, 36); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(101, 13); - this.label4.TabIndex = 8; - this.label4.Text = "Longitude (degrees)"; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(263, 6); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(127, 20); - this.m_latitudeTextBox.TabIndex = 9; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(263, 32); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(127, 20); - this.m_longitudeTextBox.TabIndex = 10; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(289, 60); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 11; - this.button1.Text = "Add Point"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnAddPoint); - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(400, 8); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(91, 13); - this.label5.TabIndex = 12; - this.label5.Text = "Azimuth (degrees)"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(400, 34); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(89, 13); - this.label6.TabIndex = 13; - this.label6.Text = "Distance (meters)"; - // - // m_azimuthTextBox - // - this.m_azimuthTextBox.Location = new System.Drawing.Point(495, 4); - this.m_azimuthTextBox.Name = "m_azimuthTextBox"; - this.m_azimuthTextBox.Size = new System.Drawing.Size(127, 20); - this.m_azimuthTextBox.TabIndex = 14; - // - // m_distanceTextBox - // - this.m_distanceTextBox.Location = new System.Drawing.Point(495, 30); - this.m_distanceTextBox.Name = "m_distanceTextBox"; - this.m_distanceTextBox.Size = new System.Drawing.Size(127, 20); - this.m_distanceTextBox.TabIndex = 15; - // - // m_edgeButton - // - this.m_edgeButton.Enabled = false; - this.m_edgeButton.Location = new System.Drawing.Point(515, 58); - this.m_edgeButton.Name = "m_edgeButton"; - this.m_edgeButton.Size = new System.Drawing.Size(75, 23); - this.m_edgeButton.TabIndex = 16; - this.m_edgeButton.Text = "Add Edge"; - this.m_edgeButton.UseVisualStyleBackColor = true; - this.m_edgeButton.Click += new System.EventHandler(this.OnAddEdge); - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(634, 8); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(87, 13); - this.label7.TabIndex = 17; - this.label7.Text = "Number of points"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(634, 34); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(82, 13); - this.label8.TabIndex = 18; - this.label8.Text = "Current Latitude"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(634, 61); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(91, 13); - this.label9.TabIndex = 19; - this.label9.Text = "Current Longitude"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(634, 89); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(40, 13); - this.label10.TabIndex = 20; - this.label10.Text = "Length"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(634, 116); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(29, 13); - this.label11.TabIndex = 21; - this.label11.Text = "Area"; - // - // m_numPointsTextBox - // - this.m_numPointsTextBox.Location = new System.Drawing.Point(729, 4); - this.m_numPointsTextBox.Name = "m_numPointsTextBox"; - this.m_numPointsTextBox.ReadOnly = true; - this.m_numPointsTextBox.Size = new System.Drawing.Size(127, 20); - this.m_numPointsTextBox.TabIndex = 22; - this.m_numPointsTextBox.Text = "0"; - // - // m_currLatTextBox - // - this.m_currLatTextBox.Location = new System.Drawing.Point(729, 30); - this.m_currLatTextBox.Name = "m_currLatTextBox"; - this.m_currLatTextBox.ReadOnly = true; - this.m_currLatTextBox.Size = new System.Drawing.Size(127, 20); - this.m_currLatTextBox.TabIndex = 23; - // - // m_currLonTextBox - // - this.m_currLonTextBox.Location = new System.Drawing.Point(729, 57); - this.m_currLonTextBox.Name = "m_currLonTextBox"; - this.m_currLonTextBox.ReadOnly = true; - this.m_currLonTextBox.Size = new System.Drawing.Size(127, 20); - this.m_currLonTextBox.TabIndex = 24; - // - // m_lengthTextBox - // - this.m_lengthTextBox.Location = new System.Drawing.Point(729, 85); - this.m_lengthTextBox.Name = "m_lengthTextBox"; - this.m_lengthTextBox.ReadOnly = true; - this.m_lengthTextBox.Size = new System.Drawing.Size(127, 20); - this.m_lengthTextBox.TabIndex = 25; - // - // m_areaTextBox - // - this.m_areaTextBox.Location = new System.Drawing.Point(729, 112); - this.m_areaTextBox.Name = "m_areaTextBox"; - this.m_areaTextBox.ReadOnly = true; - this.m_areaTextBox.Size = new System.Drawing.Size(127, 20); - this.m_areaTextBox.TabIndex = 26; - // - // button2 - // - this.button2.Location = new System.Drawing.Point(405, 84); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 27; - this.button2.Text = "Clear"; - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnClear); - // - // button3 - // - this.button3.Location = new System.Drawing.Point(405, 109); - this.button3.Name = "button3"; - this.button3.Size = new System.Drawing.Size(75, 23); - this.button3.TabIndex = 28; - this.button3.Text = "Validate"; - this.button3.UseVisualStyleBackColor = true; - this.button3.Click += new System.EventHandler(this.OnValidate); - // - // m_polylineCheckBox - // - this.m_polylineCheckBox.AutoSize = true; - this.m_polylineCheckBox.Location = new System.Drawing.Point(15, 112); - this.m_polylineCheckBox.Name = "m_polylineCheckBox"; - this.m_polylineCheckBox.Size = new System.Drawing.Size(62, 17); - this.m_polylineCheckBox.TabIndex = 29; - this.m_polylineCheckBox.Text = "Polyline"; - this.m_polylineCheckBox.UseVisualStyleBackColor = true; - // - // PolyPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.button3); - this.Controls.Add(this.button2); - this.Controls.Add(this.m_areaTextBox); - this.Controls.Add(this.m_lengthTextBox); - this.Controls.Add(this.m_currLonTextBox); - this.Controls.Add(this.m_currLatTextBox); - this.Controls.Add(this.m_numPointsTextBox); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.m_edgeButton); - this.Controls.Add(this.m_distanceTextBox); - this.Controls.Add(this.m_azimuthTextBox); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.label4); - this.Controls.Add(this.label3); - this.Controls.Add(this.groupBox1); - this.Name = "PolyPanel"; - this.Size = new System.Drawing.Size(979, 359); - this.groupBox1.ResumeLayout(false); - this.groupBox1.PerformLayout(); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.GroupBox groupBox1; - private System.Windows.Forms.Button m_setButton; - private System.Windows.Forms.TextBox m_flatteningTextBox; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.TextBox m_azimuthTextBox; - private System.Windows.Forms.TextBox m_distanceTextBox; - private System.Windows.Forms.Button m_edgeButton; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.TextBox m_numPointsTextBox; - private System.Windows.Forms.TextBox m_currLatTextBox; - private System.Windows.Forms.TextBox m_currLonTextBox; - private System.Windows.Forms.TextBox m_lengthTextBox; - private System.Windows.Forms.TextBox m_areaTextBox; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.Button button3; - private System.Windows.Forms.CheckBox m_polylineCheckBox; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.cs deleted file mode 100644 index 90d48624a12ef3c27f241305063eafcf1dd1ab0a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.cs +++ /dev/null @@ -1,148 +0,0 @@ -/** - * \file NETGeographicLib\PolyPanel.cs - * \brief NETGeographicLib.PolygonArea example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class PolyPanel : UserControl - { - PolygonArea m_poly = null; - public PolyPanel() - { - InitializeComponent(); - m_poly = new PolygonArea(false); - m_majorRadiusTextBox.Text = m_poly.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = m_poly.Flattening.ToString(); - m_lengthTextBox.Text = m_areaTextBox.Text = m_numPointsTextBox.Text = "0"; - m_currLatTextBox.Text = m_currLonTextBox.Text = ""; - } - - private void OnSet(object sender, EventArgs e) - { - try - { - double a = Double.Parse(m_majorRadiusTextBox.Text); - double f = Double.Parse(m_flatteningTextBox.Text); - m_poly = new PolygonArea(new Geodesic(a, f), m_polylineCheckBox.Checked); - m_lengthTextBox.Text = m_areaTextBox.Text = m_numPointsTextBox.Text = "0"; - m_currLatTextBox.Text = m_currLonTextBox.Text = ""; - m_edgeButton.Enabled = false; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnAddPoint(object sender, EventArgs e) - { - try - { - double lat = Double.Parse(m_latitudeTextBox.Text); - double lon = Double.Parse(m_longitudeTextBox.Text); - double length, area; - - m_poly.AddPoint(lat, lon); - m_edgeButton.Enabled = true; - m_currLatTextBox.Text = m_latitudeTextBox.Text; - m_currLonTextBox.Text = m_longitudeTextBox.Text; - m_numPointsTextBox.Text = m_poly.Compute(false, false, out length, out area).ToString(); - m_lengthTextBox.Text = length.ToString(); - if ( !m_polylineCheckBox.Checked ) - m_areaTextBox.Text = area.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnAddEdge(object sender, EventArgs e) - { - try - { - double azi = Double.Parse(m_azimuthTextBox.Text); - double dist = Double.Parse(m_distanceTextBox.Text); - - m_poly.AddEdge(azi, dist); - double lat, lon, length, area; - m_poly.CurrentPoint(out lat, out lon); - m_currLatTextBox.Text = lat.ToString(); - m_currLonTextBox.Text = lon.ToString(); - m_numPointsTextBox.Text = m_poly.Compute(false, false, out length, out area).ToString(); - m_lengthTextBox.Text = length.ToString(); - if (!m_polylineCheckBox.Checked) - m_areaTextBox.Text = area.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnClear(object sender, EventArgs e) - { - m_poly.Clear(); - m_edgeButton.Enabled = false; - m_lengthTextBox.Text = m_areaTextBox.Text = m_numPointsTextBox.Text = "0"; - m_currLatTextBox.Text = m_currLonTextBox.Text = ""; - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - double lat, lon, perim, area; - PolygonArea pa = new PolygonArea(new Geodesic(50000.0, 0.001), true); - pa = new PolygonArea(false); - pa.AddPoint(32.0, -86.0); - pa.AddEdge(20.0, 10000.0); - pa.AddEdge(-45.0, 10000.0); - pa.CurrentPoint(out lat, out lon); - pa.Compute(false, false, out perim, out area); - pa.TestEdge(-70.0, 5000.0, false, false, out perim, out area); - pa.TestPoint(31.0, -86.5, false, false, out perim, out area); - - PolygonAreaExact p2 = new PolygonAreaExact(new GeodesicExact(), false); - p2.AddPoint(32.0, -86.0); - p2.AddEdge(20.0, 10000.0); - p2.AddEdge(-45.0, 10000.0); - p2.CurrentPoint(out lat, out lon); - p2.Compute(false, false, out perim, out area); - p2.TestEdge(-70.0, 5000.0, false, false, out perim, out area); - p2.TestPoint(31.0, -86.5, false, false, out perim, out area); - - PolygonAreaRhumb p3 = new PolygonAreaRhumb(Rhumb.WGS84(), false); - p3.AddPoint(32.0, -86.0); - p3.AddEdge(20.0, 10000.0); - p3.AddEdge(-45.0, 10000.0); - p3.CurrentPoint(out lat, out lon); - p3.Compute(false, false, out perim, out area); - p3.TestEdge(-70.0, 5000.0, false, false, out perim, out area); - p3.TestPoint(31.0, -86.5, false, false, out perim, out area); - - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Exception", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.resx deleted file mode 100644 index ed0aef9346c39ab245aad1ccc01439f98d437d7e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/PolyPanel.resx +++ /dev/null @@ -1,120 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Program.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/Program.cs deleted file mode 100644 index 78d7076d51a010bf2229c6a2b87230c21b7ba3bf..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Program.cs +++ /dev/null @@ -1,31 +0,0 @@ -/** - * \file NETGeographicLib\Program.cs - * \brief NETGeographicLib application example - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.Linq; -using System.Windows.Forms; - -namespace Projections -{ - static class Program - { - /// - /// The main entry point for the application. - /// - [STAThread] - static void Main() - { - Application.EnableVisualStyles(); - Application.SetCompatibleTextRenderingDefault(false); - Application.Run(new Form1()); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Projections-vs13.csproj b/libs/GeographicLib-1.50.1/dotnet/Projections/Projections-vs13.csproj deleted file mode 100644 index 5c2fa7f39dc7d16a0224fdbf0a95998822e94390..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Projections-vs13.csproj +++ /dev/null @@ -1,273 +0,0 @@ - - - - Debug - x86 - 8.0.30703 - 2.0 - {74B48389-E1D1-491F-B198-ADD4878C3F2B} - WinExe - Properties - Projections - Projections - v4.5 - - - 512 - - - x86 - true - full - false - $(SolutionDir)$(Configuration)\ - DEBUG;TRACE - prompt - 4 - false - - - x64 - true - full - false - $(SolutionDir)$(Configuration)64\ - DEBUG;TRACE - prompt - 4 - false - - - x86 - pdbonly - true - $(SolutionDir)$(Configuration)\ - TRACE - prompt - 4 - false - - - x64 - pdbonly - true - $(SolutionDir)$(Configuration)64\ - TRACE - prompt - 4 - false - - - - - - - - - - - - - - - - UserControl - - - AccumPanel.cs - - - UserControl - - - AlbersPanel.cs - - - - UserControl - - - EllipsoidPanel.cs - - - UserControl - - - EllipticPanel.cs - - - Form - - - Form1.cs - - - UserControl - - - GeocentricPanel.cs - - - UserControl - - - GeodesicPanel.cs - - - UserControl - - - GeoidPanel.cs - - - UserControl - - - GravityPanel.cs - - - UserControl - - - LocalCartesianPanel.cs - - - UserControl - - - MagneticPanel.cs - - - UserControl - - - MiscPanel.cs - - - UserControl - - - PolarStereoPanel.cs - - - UserControl - - - PolyPanel.cs - - - - UserControl - - - ProjectionsPanel.cs - - - True - True - Resources.resx - - - True - True - Settings.settings - - - UserControl - - - RhumbPanel.cs - - - UserControl - - - SphericalHarmonicsPanel.cs - - - UserControl - - - TypeIIIProjPanel.cs - - - AccumPanel.cs - - - AlbersPanel.cs - - - EllipsoidPanel.cs - - - EllipticPanel.cs - - - Form1.cs - - - GeocentricPanel.cs - - - GeodesicPanel.cs - - - GeoidPanel.cs - - - GravityPanel.cs - - - LocalCartesianPanel.cs - - - MagneticPanel.cs - - - MiscPanel.cs - - - PolarStereoPanel.cs - - - PolyPanel.cs - - - ProjectionsPanel.cs - - - ResXFileCodeGenerator - Resources.Designer.cs - - - RhumbPanel.cs - - - SphericalHarmonicsPanel.cs - - - TypeIIIProjPanel.cs - - - - - {BC1ADBEC-537D-487E-AF21-8B7025AAF46D} - NETGeographic - - - - - SettingsSingleFileGenerator - Settings.Designer.cs - - - - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Projections.csproj b/libs/GeographicLib-1.50.1/dotnet/Projections/Projections.csproj deleted file mode 100644 index 0bb5f956092bc5c160e357f3f9828d913cef5cd1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Projections.csproj +++ /dev/null @@ -1,268 +0,0 @@ - - - - Debug - x86 - 8.0.30703 - 2.0 - {74B48389-E1D1-491F-B198-ADD4878C3F2B} - WinExe - Properties - Projections - Projections - v4.0 - Client - 512 - - - x86 - true - full - false - $(SolutionDir)$(Configuration)\ - DEBUG;TRACE - prompt - 4 - - - x64 - true - full - false - $(SolutionDir)$(Configuration)64\ - DEBUG;TRACE - prompt - 4 - - - x86 - pdbonly - true - $(SolutionDir)$(Configuration)\ - TRACE - prompt - 4 - - - x64 - pdbonly - true - $(SolutionDir)$(Configuration)64\ - TRACE - prompt - 4 - - - - - - - - - - - - - - - - UserControl - - - AccumPanel.cs - - - UserControl - - - AlbersPanel.cs - - - - UserControl - - - EllipsoidPanel.cs - - - UserControl - - - EllipticPanel.cs - - - Form - - - Form1.cs - - - UserControl - - - GeocentricPanel.cs - - - UserControl - - - GeodesicPanel.cs - - - UserControl - - - GeoidPanel.cs - - - UserControl - - - GravityPanel.cs - - - UserControl - - - LocalCartesianPanel.cs - - - UserControl - - - MagneticPanel.cs - - - UserControl - - - MiscPanel.cs - - - UserControl - - - PolarStereoPanel.cs - - - UserControl - - - PolyPanel.cs - - - - UserControl - - - ProjectionsPanel.cs - - - True - True - Resources.resx - - - True - True - Settings.settings - - - UserControl - - - RhumbPanel.cs - - - UserControl - - - SphericalHarmonicsPanel.cs - - - UserControl - - - TypeIIIProjPanel.cs - - - AccumPanel.cs - - - AlbersPanel.cs - - - EllipsoidPanel.cs - - - EllipticPanel.cs - - - Form1.cs - - - GeocentricPanel.cs - - - GeodesicPanel.cs - - - GeoidPanel.cs - - - GravityPanel.cs - - - LocalCartesianPanel.cs - - - MagneticPanel.cs - - - MiscPanel.cs - - - PolarStereoPanel.cs - - - PolyPanel.cs - - - ProjectionsPanel.cs - - - ResXFileCodeGenerator - Resources.Designer.cs - - - RhumbPanel.cs - - - SphericalHarmonicsPanel.cs - - - TypeIIIProjPanel.cs - - - - - {BC1ADBEC-537D-487E-AF21-8B7025AAF46D} - NETGeographic - - - - - SettingsSingleFileGenerator - Settings.Designer.cs - - - - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.Designer.cs deleted file mode 100644 index 4bf85e4e38ef8e345437cda80bd32f40ec54f27e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.Designer.cs +++ /dev/null @@ -1,388 +0,0 @@ -namespace Projections -{ - partial class ProjectionsPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.groupBox1 = new System.Windows.Forms.GroupBox(); - this.m_setButton = new System.Windows.Forms.Button(); - this.m_flatteningTextBox = new System.Windows.Forms.TextBox(); - this.label1 = new System.Windows.Forms.Label(); - this.m_equatorialRadiusTextBox = new System.Windows.Forms.TextBox(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.m_projectionComboBox = new System.Windows.Forms.ComboBox(); - this.label4 = new System.Windows.Forms.Label(); - this.m_lat0TextBox = new System.Windows.Forms.TextBox(); - this.label5 = new System.Windows.Forms.Label(); - this.m_lon0TextBox = new System.Windows.Forms.TextBox(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_xTextBox = new System.Windows.Forms.TextBox(); - this.m_yTextBox = new System.Windows.Forms.TextBox(); - this.m_azimuthTextBox = new System.Windows.Forms.TextBox(); - this.m_scaleTextBox = new System.Windows.Forms.TextBox(); - this.m_functionComboBox = new System.Windows.Forms.ComboBox(); - this.label12 = new System.Windows.Forms.Label(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.groupBox1.SuspendLayout(); - this.SuspendLayout(); - // - // groupBox1 - // - this.groupBox1.Controls.Add(this.m_setButton); - this.groupBox1.Controls.Add(this.m_flatteningTextBox); - this.groupBox1.Controls.Add(this.label1); - this.groupBox1.Controls.Add(this.m_equatorialRadiusTextBox); - this.groupBox1.Controls.Add(this.label2); - this.groupBox1.Location = new System.Drawing.Point(3, 3); - this.groupBox1.Name = "groupBox1"; - this.groupBox1.Size = new System.Drawing.Size(146, 140); - this.groupBox1.TabIndex = 6; - this.groupBox1.TabStop = false; - this.groupBox1.Text = "Ellipsoid Parameters"; - // - // m_setButton - // - this.m_setButton.Location = new System.Drawing.Point(12, 107); - this.m_setButton.Name = "m_setButton"; - this.m_setButton.Size = new System.Drawing.Size(75, 23); - this.m_setButton.TabIndex = 4; - this.m_setButton.Text = "Set"; - this.m_toolTip.SetToolTip(this.m_setButton, "Sets ellipsoid parameters"); - this.m_setButton.UseVisualStyleBackColor = true; - this.m_setButton.Click += new System.EventHandler(this.OnSet); - // - // m_flatteningTextBox - // - this.m_flatteningTextBox.Location = new System.Drawing.Point(12, 83); - this.m_flatteningTextBox.Name = "m_flatteningTextBox"; - this.m_flatteningTextBox.Size = new System.Drawing.Size(125, 20); - this.m_flatteningTextBox.TabIndex = 3; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(12, 25); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(109, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Equatorial Radius (meters)"; - // - // m_equatorialRadiusTextBox - // - this.m_equatorialRadiusTextBox.Location = new System.Drawing.Point(12, 42); - this.m_equatorialRadiusTextBox.Name = "m_equatorialRadiusTextBox"; - this.m_equatorialRadiusTextBox.Size = new System.Drawing.Size(125, 20); - this.m_equatorialRadiusTextBox.TabIndex = 2; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(12, 66); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(53, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Flattening"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(14, 146); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(54, 13); - this.label3.TabIndex = 7; - this.label3.Text = "Projection"; - // - // m_projectionComboBox - // - this.m_projectionComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_projectionComboBox.FormattingEnabled = true; - this.m_projectionComboBox.Items.AddRange(new object[] { - "Azimuthal Equidistant", - "Cassini Soldner", - "Gnomonic"}); - this.m_projectionComboBox.Location = new System.Drawing.Point(14, 163); - this.m_projectionComboBox.Name = "m_projectionComboBox"; - this.m_projectionComboBox.Size = new System.Drawing.Size(135, 21); - this.m_projectionComboBox.TabIndex = 8; - this.m_toolTip.SetToolTip(this.m_projectionComboBox, "Select projection type"); - this.m_projectionComboBox.SelectedIndexChanged += new System.EventHandler(this.OnProjectectionType); - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(156, 12); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(122, 13); - this.label4.TabIndex = 9; - this.label4.Text = "Origin Latitude (degrees)"; - // - // m_lat0TextBox - // - this.m_lat0TextBox.Location = new System.Drawing.Point(156, 28); - this.m_lat0TextBox.Name = "m_lat0TextBox"; - this.m_lat0TextBox.Size = new System.Drawing.Size(128, 20); - this.m_lat0TextBox.TabIndex = 10; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(156, 52); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(131, 13); - this.label5.TabIndex = 11; - this.label5.Text = "Origin Longitude (degrees)"; - // - // m_lon0TextBox - // - this.m_lon0TextBox.Location = new System.Drawing.Point(156, 69); - this.m_lon0TextBox.Name = "m_lon0TextBox"; - this.m_lon0TextBox.Size = new System.Drawing.Size(128, 20); - this.m_lon0TextBox.TabIndex = 12; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(299, 12); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(92, 13); - this.label6.TabIndex = 13; - this.label6.Text = "Latitude (degrees)"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(299, 38); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(101, 13); - this.label7.TabIndex = 14; - this.label7.Text = "Longitude (degrees)"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(299, 64); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(54, 13); - this.label8.TabIndex = 15; - this.label8.Text = "X (meters)"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(299, 90); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(54, 13); - this.label9.TabIndex = 16; - this.label9.Text = "Y (meters)"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(299, 116); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(91, 13); - this.label10.TabIndex = 17; - this.label10.Text = "Azimuth (degrees)"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(299, 142); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(100, 13); - this.label11.TabIndex = 18; - this.label11.Text = "Reciprocal of Scale"; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(407, 8); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_latitudeTextBox.TabIndex = 19; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(407, 34); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_longitudeTextBox.TabIndex = 20; - // - // m_xTextBox - // - this.m_xTextBox.Location = new System.Drawing.Point(407, 60); - this.m_xTextBox.Name = "m_xTextBox"; - this.m_xTextBox.Size = new System.Drawing.Size(100, 20); - this.m_xTextBox.TabIndex = 21; - // - // m_yTextBox - // - this.m_yTextBox.Location = new System.Drawing.Point(407, 86); - this.m_yTextBox.Name = "m_yTextBox"; - this.m_yTextBox.Size = new System.Drawing.Size(100, 20); - this.m_yTextBox.TabIndex = 22; - // - // m_azimuthTextBox - // - this.m_azimuthTextBox.Location = new System.Drawing.Point(407, 112); - this.m_azimuthTextBox.Name = "m_azimuthTextBox"; - this.m_azimuthTextBox.ReadOnly = true; - this.m_azimuthTextBox.Size = new System.Drawing.Size(100, 20); - this.m_azimuthTextBox.TabIndex = 23; - // - // m_scaleTextBox - // - this.m_scaleTextBox.Location = new System.Drawing.Point(407, 138); - this.m_scaleTextBox.Name = "m_scaleTextBox"; - this.m_scaleTextBox.ReadOnly = true; - this.m_scaleTextBox.Size = new System.Drawing.Size(100, 20); - this.m_scaleTextBox.TabIndex = 24; - // - // m_functionComboBox - // - this.m_functionComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_functionComboBox.FormattingEnabled = true; - this.m_functionComboBox.Items.AddRange(new object[] { - "Forward", - "Reverse"}); - this.m_functionComboBox.Location = new System.Drawing.Point(513, 34); - this.m_functionComboBox.Name = "m_functionComboBox"; - this.m_functionComboBox.Size = new System.Drawing.Size(75, 21); - this.m_functionComboBox.TabIndex = 25; - this.m_toolTip.SetToolTip(this.m_functionComboBox, "Select Function"); - this.m_functionComboBox.SelectedIndexChanged += new System.EventHandler(this.OnFunction); - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(513, 12); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(48, 13); - this.label12.TabIndex = 26; - this.label12.Text = "Function"; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(513, 59); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 27; - this.button1.Text = "Convert"; - this.m_toolTip.SetToolTip(this.button1, "Execute the selected Function using the selected Projection"); - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnConvert); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(516, 137); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 28; - this.button2.Text = "Validate"; - this.m_toolTip.SetToolTip(this.button2, "Verified interfaces"); - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnValidate); - // - // ProjectionsPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.button2); - this.Controls.Add(this.button1); - this.Controls.Add(this.label12); - this.Controls.Add(this.m_functionComboBox); - this.Controls.Add(this.m_scaleTextBox); - this.Controls.Add(this.m_azimuthTextBox); - this.Controls.Add(this.m_yTextBox); - this.Controls.Add(this.m_xTextBox); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.m_lon0TextBox); - this.Controls.Add(this.label5); - this.Controls.Add(this.m_lat0TextBox); - this.Controls.Add(this.label4); - this.Controls.Add(this.m_projectionComboBox); - this.Controls.Add(this.label3); - this.Controls.Add(this.groupBox1); - this.Name = "ProjectionsPanel"; - this.Size = new System.Drawing.Size(790, 289); - this.groupBox1.ResumeLayout(false); - this.groupBox1.PerformLayout(); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.GroupBox groupBox1; - private System.Windows.Forms.Button m_setButton; - private System.Windows.Forms.TextBox m_flatteningTextBox; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.TextBox m_equatorialRadiusTextBox; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.ComboBox m_projectionComboBox; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.TextBox m_lat0TextBox; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.TextBox m_lon0TextBox; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.TextBox m_xTextBox; - private System.Windows.Forms.TextBox m_yTextBox; - private System.Windows.Forms.TextBox m_azimuthTextBox; - private System.Windows.Forms.TextBox m_scaleTextBox; - private System.Windows.Forms.ComboBox m_functionComboBox; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Button button2; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.cs deleted file mode 100644 index 5b0749c025a4079b43b9051cdfa258ea617d67ea..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.cs +++ /dev/null @@ -1,250 +0,0 @@ -/** - * \file NETGeographicLib\ProjectionsPanel.cs - * \brief NETGeographicLib projection example - * - * NETGeographicLib.AzimuthalEquidistant, - * NETGeographicLib.CassiniSoldner, and - * NETGeographicLib.Gnomonic example. - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class ProjectionsPanel : UserControl - { - enum ProjectionTypes - { - AzimuthalEquidistant = 0, - CassiniSoldner = 1, - Gnomonic = 2 - } - ProjectionTypes m_type; - AzimuthalEquidistant m_azimuthal = null; - CassiniSoldner m_cassini = null; - Gnomonic m_gnomonic = null; - Geodesic m_geodesic = null; - - public ProjectionsPanel() - { - InitializeComponent(); - try - { - m_geodesic = new Geodesic(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - m_majorRadiusTextBox.Text = m_geodesic.EquatorialRadius.ToString(); - m_flatteningTextBox.Text = m_geodesic.Flattening.ToString(); - m_lat0TextBox.Text = m_lon0TextBox.Text = "0"; - m_projectionComboBox.SelectedIndex = 0; - m_functionComboBox.SelectedIndex = 0; - } - - private void OnProjectectionType(object sender, EventArgs e) - { - m_type = (ProjectionTypes)m_projectionComboBox.SelectedIndex; - switch (m_type) - { - case ProjectionTypes.AzimuthalEquidistant: - m_azimuthal = new AzimuthalEquidistant(m_geodesic); - break; - case ProjectionTypes.CassiniSoldner: - double lat0 = Double.Parse( m_lat0TextBox.Text ); - double lon0 = Double.Parse( m_lon0TextBox.Text ); - m_cassini = new CassiniSoldner(lat0, lon0, m_geodesic); - break; - case ProjectionTypes.Gnomonic: - m_gnomonic = new Gnomonic(m_geodesic); - break; - } - } - - private void OnSet(object sender, EventArgs e) - { - try - { - double a = Double.Parse(m_majorRadiusTextBox.Text); - double f = Double.Parse(m_flatteningTextBox.Text); - m_geodesic = new Geodesic(a, f); - } - catch ( Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnFunction(object sender, EventArgs e) - { - switch (m_functionComboBox.SelectedIndex) - { - case 0: - m_latitudeTextBox.ReadOnly = m_longitudeTextBox.ReadOnly = false; - m_xTextBox.ReadOnly = m_yTextBox.ReadOnly = true; - break; - case 1: - m_latitudeTextBox.ReadOnly = m_longitudeTextBox.ReadOnly = true; - m_xTextBox.ReadOnly = m_yTextBox.ReadOnly = false; - break; - } - } - - private void OnConvert(object sender, EventArgs e) - { - try - { - switch (m_type) - { - case ProjectionTypes.AzimuthalEquidistant: - ConvertAzimuthalEquidistant(); - break; - case ProjectionTypes.CassiniSoldner: - ConvertCassiniSoldner(); - break; - case ProjectionTypes.Gnomonic: - ConvertGnomonic(); - break; - } - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void ConvertAzimuthalEquidistant() - { - double lat0 = Double.Parse(m_lat0TextBox.Text); - double lon0 = Double.Parse(m_lon0TextBox.Text); - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, azi = 0.0, rk = 0.0; - switch (m_functionComboBox.SelectedIndex) - { - case 0: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - m_azimuthal.Forward(lat0, lon0, lat, lon, out x, out y, out azi, out rk); - m_xTextBox.Text = x.ToString(); - m_yTextBox.Text = y.ToString(); - break; - case 1: - x = Double.Parse(m_xTextBox.Text); - y = Double.Parse(m_yTextBox.Text); - m_azimuthal.Reverse(lat0, lon0, x, y, out lat, out lon, out azi, out rk); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - break; - } - m_azimuthTextBox.Text = azi.ToString(); - m_scaleTextBox.Text = rk.ToString(); - } - - private void ConvertCassiniSoldner() - { - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, azi = 0.0, rk = 0.0; - switch (m_functionComboBox.SelectedIndex) - { - case 0: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - m_cassini.Forward(lat, lon, out x, out y, out azi, out rk); - m_xTextBox.Text = x.ToString(); - m_yTextBox.Text = y.ToString(); - break; - case 1: - x = Double.Parse(m_xTextBox.Text); - y = Double.Parse(m_yTextBox.Text); - m_cassini.Reverse(x, y, out lat, out lon, out azi, out rk); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - break; - } - m_azimuthTextBox.Text = azi.ToString(); - m_scaleTextBox.Text = rk.ToString(); - } - - private void ConvertGnomonic() - { - double lat0 = Double.Parse(m_lat0TextBox.Text); - double lon0 = Double.Parse(m_lon0TextBox.Text); - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, azi = 0.0, rk = 0.0; - switch (m_functionComboBox.SelectedIndex) - { - case 0: - lat = Double.Parse(m_latitudeTextBox.Text); - lon = Double.Parse(m_longitudeTextBox.Text); - m_gnomonic.Forward(lat0, lon0, lat, lon, out x, out y, out azi, out rk); - m_xTextBox.Text = x.ToString(); - m_yTextBox.Text = y.ToString(); - break; - case 1: - x = Double.Parse(m_xTextBox.Text); - y = Double.Parse(m_yTextBox.Text); - m_gnomonic.Reverse(lat0, lon0, x, y, out lat, out lon, out azi, out rk); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - break; - } - m_azimuthTextBox.Text = azi.ToString(); - m_scaleTextBox.Text = rk.ToString(); - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - double lat = 0.0, lon = 0.0, x = 0.0, y = 0.0, x1 = 0.0, y1 = 0.0, azi = 0.0, rk = 0.0; - AzimuthalEquidistant azimuthal = new AzimuthalEquidistant(m_geodesic); - azimuthal = new AzimuthalEquidistant(); - azimuthal.Forward(32.0, -86.0, 33.0, -87.0, out x, out y, out azi, out rk); - azimuthal.Forward(32.0, -86.0, 33.0, -87.0, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in AzimuthalEquidistant.Forward"); - azimuthal.Reverse(32.0, -86.0, x, y, out lat, out lon, out azi, out rk); - azimuthal.Reverse(32.0, -86.0, x, y, out x1, out y1); - if ( x1 != lat || y1 != lon ) - throw new Exception("Error in AzimuthalEquidistant.Reverse"); - CassiniSoldner cassini = new CassiniSoldner(32.0, -86.0, m_geodesic); - cassini = new CassiniSoldner(32.0, -86.0); - cassini.Reset(31.0, -87.0); - cassini.Forward(32.0, -86.0, out x, out y, out azi, out rk); - cassini.Forward(32.0, -86.0, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in CassiniSoldner.Forward"); - cassini.Reverse(x, y, out lat, out lon, out azi, out rk); - cassini.Reverse(x, y, out x1, out y1); - if (x1 != lat || y1 != lon) - throw new Exception("Error in CassiniSoldner.Reverse"); - Gnomonic gnomonic = new Gnomonic(m_geodesic); - gnomonic = new Gnomonic(); - gnomonic.Forward(32.0, -86.0, 31.0, -87.0, out x, out y, out azi, out rk); - gnomonic.Forward(32.0, -86.0, 31.0, -87.0, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in Gnomonic.Forward"); - gnomonic.Reverse(32.0, -86.0, x, y, out lat, out lon, out azi, out rk); - gnomonic.Reverse(32.0, -86.0, x, y, out x1, out y1); - if (x1 != lat || y1 != lon) - throw new Exception("Error in Gnomonic.Reverse"); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.resx deleted file mode 100644 index 3ec30e045320778f2e0b8b29b0f198907a187341..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/ProjectionsPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/AssemblyInfo.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/AssemblyInfo.cs deleted file mode 100644 index f5ccffd66c8ef279d5fddc9384a93b585b4e927a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/AssemblyInfo.cs +++ /dev/null @@ -1,36 +0,0 @@ -using System.Reflection; -using System.Runtime.CompilerServices; -using System.Runtime.InteropServices; - -// General Information about an assembly is controlled through the following -// set of attributes. Change these attribute values to modify the information -// associated with an assembly. -[assembly: AssemblyTitle("Projections")] -[assembly: AssemblyDescription("")] -[assembly: AssemblyConfiguration("")] -[assembly: AssemblyCompany("")] -[assembly: AssemblyProduct("Projections")] -[assembly: AssemblyCopyright("Copyright (c) 2013")] -[assembly: AssemblyTrademark("")] -[assembly: AssemblyCulture("")] - -// Setting ComVisible to false makes the types in this assembly not visible -// to COM components. If you need to access a type in this assembly from -// COM, set the ComVisible attribute to true on that type. -[assembly: ComVisible(false)] - -// The following GUID is for the ID of the typelib if this project is exposed to COM -[assembly: Guid("9ac75a52-f578-43e8-9994-5f993a535d0d")] - -// Version information for an assembly consists of the following four values: -// -// Major Version -// Minor Version -// Build Number -// Revision -// -// You can specify all the values or you can default the Build and Revision Numbers -// by using the '*' as shown below: -// [assembly: AssemblyVersion("1.0.*")] -[assembly: AssemblyVersion("1.0.0.0")] -[assembly: AssemblyFileVersion("1.0.0.0")] diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Resources.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Resources.Designer.cs deleted file mode 100644 index 1a39d09a1cf3f1594e1c4cc2608074e06eb0883d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Resources.Designer.cs +++ /dev/null @@ -1,71 +0,0 @@ -//------------------------------------------------------------------------------ -// -// This code was generated by a tool. -// Runtime Version:4.0.30319.239 -// -// Changes to this file may cause incorrect behavior and will be lost if -// the code is regenerated. -// -//------------------------------------------------------------------------------ - -namespace Projections.Properties -{ - - - /// - /// A strongly-typed resource class, for looking up localized strings, etc. - /// - // This class was auto-generated by the StronglyTypedResourceBuilder - // class via a tool like ResGen or Visual Studio. - // To add or remove a member, edit your .ResX file then rerun ResGen - // with the /str option, or rebuild your VS project. - [global::System.CodeDom.Compiler.GeneratedCodeAttribute("System.Resources.Tools.StronglyTypedResourceBuilder", "4.0.0.0")] - [global::System.Diagnostics.DebuggerNonUserCodeAttribute()] - [global::System.Runtime.CompilerServices.CompilerGeneratedAttribute()] - internal class Resources - { - - private static global::System.Resources.ResourceManager resourceMan; - - private static global::System.Globalization.CultureInfo resourceCulture; - - [global::System.Diagnostics.CodeAnalysis.SuppressMessageAttribute("Microsoft.Performance", "CA1811:AvoidUncalledPrivateCode")] - internal Resources() - { - } - - /// - /// Returns the cached ResourceManager instance used by this class. - /// - [global::System.ComponentModel.EditorBrowsableAttribute(global::System.ComponentModel.EditorBrowsableState.Advanced)] - internal static global::System.Resources.ResourceManager ResourceManager - { - get - { - if ((resourceMan == null)) - { - global::System.Resources.ResourceManager temp = new global::System.Resources.ResourceManager("Projections.Properties.Resources", typeof(Resources).Assembly); - resourceMan = temp; - } - return resourceMan; - } - } - - /// - /// Overrides the current thread's CurrentUICulture property for all - /// resource lookups using this strongly typed resource class. - /// - [global::System.ComponentModel.EditorBrowsableAttribute(global::System.ComponentModel.EditorBrowsableState.Advanced)] - internal static global::System.Globalization.CultureInfo Culture - { - get - { - return resourceCulture; - } - set - { - resourceCulture = value; - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Resources.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Resources.resx deleted file mode 100644 index 117d382fa129000431513242c710c3c4831daa46..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Resources.resx +++ /dev/null @@ -1,117 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Settings.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Settings.Designer.cs deleted file mode 100644 index f6c435ed0bc858cb1e4d3bac99c8c64357a6c77e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Settings.Designer.cs +++ /dev/null @@ -1,30 +0,0 @@ -//------------------------------------------------------------------------------ -// -// This code was generated by a tool. -// Runtime Version:4.0.30319.239 -// -// Changes to this file may cause incorrect behavior and will be lost if -// the code is regenerated. -// -//------------------------------------------------------------------------------ - -namespace Projections.Properties -{ - - - [global::System.Runtime.CompilerServices.CompilerGeneratedAttribute()] - [global::System.CodeDom.Compiler.GeneratedCodeAttribute("Microsoft.VisualStudio.Editors.SettingsDesigner.SettingsSingleFileGenerator", "10.0.0.0")] - internal sealed partial class Settings : global::System.Configuration.ApplicationSettingsBase - { - - private static Settings defaultInstance = ((Settings)(global::System.Configuration.ApplicationSettingsBase.Synchronized(new Settings()))); - - public static Settings Default - { - get - { - return defaultInstance; - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Settings.settings b/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Settings.settings deleted file mode 100644 index 4ed82c03dff51e2ef527b204894875209b5e8009..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/Properties/Settings.settings +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.Designer.cs deleted file mode 100644 index e2adb306123497c193636322207ce7215dc776ce..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.Designer.cs +++ /dev/null @@ -1,260 +0,0 @@ -namespace Projections -{ - partial class RhumbPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.label1 = new System.Windows.Forms.Label(); - this.label2 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.label4 = new System.Windows.Forms.Label(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.m_Lat1TextBox = new System.Windows.Forms.TextBox(); - this.m_lon1TextBox = new System.Windows.Forms.TextBox(); - this.m_lat2TextBox = new System.Windows.Forms.TextBox(); - this.m_lon2TextBox = new System.Windows.Forms.TextBox(); - this.m_s12TextBox = new System.Windows.Forms.TextBox(); - this.m_azimuthTextBox = new System.Windows.Forms.TextBox(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.label7 = new System.Windows.Forms.Label(); - this.m_pointsView = new System.Windows.Forms.ListView(); - this.columnHeader1 = ((System.Windows.Forms.ColumnHeader)(new System.Windows.Forms.ColumnHeader())); - this.columnHeader2 = ((System.Windows.Forms.ColumnHeader)(new System.Windows.Forms.ColumnHeader())); - this.button3 = new System.Windows.Forms.Button(); - this.SuspendLayout(); - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(16, 15); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(101, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Latitude 1 (degrees)"; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(16, 42); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(110, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Longitude 1 (degrees)"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(16, 69); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(101, 13); - this.label3.TabIndex = 2; - this.label3.Text = "Latitude 2 (degrees)"; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(16, 96); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(110, 13); - this.label4.TabIndex = 3; - this.label4.Text = "Longitude 2 (degrees)"; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(16, 123); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(66, 13); - this.label5.TabIndex = 4; - this.label5.Text = "S12 (meters)"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(16, 150); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(91, 13); - this.label6.TabIndex = 5; - this.label6.Text = "Azimuth (degrees)"; - // - // m_Lat1TextBox - // - this.m_Lat1TextBox.Location = new System.Drawing.Point(131, 11); - this.m_Lat1TextBox.Name = "m_Lat1TextBox"; - this.m_Lat1TextBox.Size = new System.Drawing.Size(129, 20); - this.m_Lat1TextBox.TabIndex = 6; - // - // m_lon1TextBox - // - this.m_lon1TextBox.Location = new System.Drawing.Point(131, 38); - this.m_lon1TextBox.Name = "m_lon1TextBox"; - this.m_lon1TextBox.Size = new System.Drawing.Size(129, 20); - this.m_lon1TextBox.TabIndex = 7; - // - // m_lat2TextBox - // - this.m_lat2TextBox.Location = new System.Drawing.Point(131, 65); - this.m_lat2TextBox.Name = "m_lat2TextBox"; - this.m_lat2TextBox.Size = new System.Drawing.Size(129, 20); - this.m_lat2TextBox.TabIndex = 8; - // - // m_lon2TextBox - // - this.m_lon2TextBox.Location = new System.Drawing.Point(131, 92); - this.m_lon2TextBox.Name = "m_lon2TextBox"; - this.m_lon2TextBox.Size = new System.Drawing.Size(129, 20); - this.m_lon2TextBox.TabIndex = 9; - // - // m_s12TextBox - // - this.m_s12TextBox.Location = new System.Drawing.Point(131, 119); - this.m_s12TextBox.Name = "m_s12TextBox"; - this.m_s12TextBox.Size = new System.Drawing.Size(129, 20); - this.m_s12TextBox.TabIndex = 10; - // - // m_azimuthTextBox - // - this.m_azimuthTextBox.Location = new System.Drawing.Point(131, 146); - this.m_azimuthTextBox.Name = "m_azimuthTextBox"; - this.m_azimuthTextBox.Size = new System.Drawing.Size(129, 20); - this.m_azimuthTextBox.TabIndex = 11; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(19, 178); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 12; - this.button1.Text = "Direct"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnDirect); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(131, 177); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(75, 23); - this.button2.TabIndex = 13; - this.button2.Text = "Inverse"; - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnIndirect); - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(306, 17); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(96, 13); - this.label7.TabIndex = 14; - this.label7.Text = "Rhumb Line Points"; - // - // m_pointsView - // - this.m_pointsView.Columns.AddRange(new System.Windows.Forms.ColumnHeader[] { - this.columnHeader1, - this.columnHeader2}); - this.m_pointsView.Location = new System.Drawing.Point(309, 38); - this.m_pointsView.Name = "m_pointsView"; - this.m_pointsView.Size = new System.Drawing.Size(321, 128); - this.m_pointsView.TabIndex = 15; - this.m_pointsView.UseCompatibleStateImageBehavior = false; - this.m_pointsView.View = System.Windows.Forms.View.Details; - // - // columnHeader1 - // - this.columnHeader1.Text = "Latitude (deg)"; - this.columnHeader1.Width = 161; - // - // columnHeader2 - // - this.columnHeader2.Text = "Longitude (deg)"; - this.columnHeader2.TextAlign = System.Windows.Forms.HorizontalAlignment.Center; - this.columnHeader2.Width = 120; - // - // button3 - // - this.button3.Location = new System.Drawing.Point(309, 177); - this.button3.Name = "button3"; - this.button3.Size = new System.Drawing.Size(75, 23); - this.button3.TabIndex = 16; - this.button3.Text = "Validate"; - this.button3.UseVisualStyleBackColor = true; - this.button3.Click += new System.EventHandler(this.OnValidate); - // - // RhumbPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.button3); - this.Controls.Add(this.m_pointsView); - this.Controls.Add(this.label7); - this.Controls.Add(this.button2); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_azimuthTextBox); - this.Controls.Add(this.m_s12TextBox); - this.Controls.Add(this.m_lon2TextBox); - this.Controls.Add(this.m_lat2TextBox); - this.Controls.Add(this.m_lon1TextBox); - this.Controls.Add(this.m_Lat1TextBox); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.label4); - this.Controls.Add(this.label3); - this.Controls.Add(this.label2); - this.Controls.Add(this.label1); - this.Name = "RhumbPanel"; - this.Size = new System.Drawing.Size(662, 287); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.Label label1; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.TextBox m_Lat1TextBox; - private System.Windows.Forms.TextBox m_lon1TextBox; - private System.Windows.Forms.TextBox m_lat2TextBox; - private System.Windows.Forms.TextBox m_lon2TextBox; - private System.Windows.Forms.TextBox m_s12TextBox; - private System.Windows.Forms.TextBox m_azimuthTextBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.ListView m_pointsView; - private System.Windows.Forms.ColumnHeader columnHeader1; - private System.Windows.Forms.ColumnHeader columnHeader2; - private System.Windows.Forms.Button button3; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.cs deleted file mode 100644 index 8a921d41a457c1187b0f36119659e27bcbe644b3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.cs +++ /dev/null @@ -1,120 +0,0 @@ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class RhumbPanel : UserControl - { - Rhumb m_rhumb; - public RhumbPanel() - { - InitializeComponent(); - m_rhumb = Rhumb.WGS84(); - m_Lat1TextBox.Text = "32"; - m_lon1TextBox.Text = "-86"; - m_lat2TextBox.Text = "33"; - m_lon2TextBox.Text = "-87"; - OnIndirect(this, null); - } - - private void OnDirect(object sender, EventArgs e) - { - try - { - double lat1 = Double.Parse( m_Lat1TextBox.Text ); - double lon1 = Double.Parse( m_lon1TextBox.Text ); - double s12 = Double.Parse( m_s12TextBox.Text ); - double azimuth = Double.Parse( m_azimuthTextBox.Text ); - double lat2, lon2; - m_rhumb.Direct(lat1, lon1, azimuth, s12, out lat2, out lon2); - m_lat2TextBox.Text = lat2.ToString(); - m_lon2TextBox.Text = lon2.ToString(); - GeneratePoints(lat1, lon1, azimuth, 0.25 * s12); - } - catch (Exception xcpt ) - { - MessageBox.Show( xcpt.Message, "Invalid input", MessageBoxButtons.OK, MessageBoxIcon.Error ); - } - } - - private void OnIndirect(object sender, EventArgs e) - { - try - { - double lat1 = Double.Parse(m_Lat1TextBox.Text); - double lon1 = Double.Parse(m_lon1TextBox.Text); - double lat2 = Double.Parse(m_lat2TextBox.Text); - double lon2 = Double.Parse(m_lon2TextBox.Text); - double s12, azimuth; - m_rhumb.Inverse(lat1, lon1, lat2, lon2, out s12, out azimuth); - m_s12TextBox.Text = s12.ToString(); - m_azimuthTextBox.Text = azimuth.ToString(); - GeneratePoints(lat1, lon1, azimuth, 0.25 * s12); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Invalid input", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void GeneratePoints( double lat1, double lon1, double azimuth, double space ) - { - RhumbLine line = m_rhumb.Line(lat1, lon1, azimuth); - m_pointsView.Items.Clear(); - for (int i = 0; i < 5; i++) - { - double lat2, lon2; - line.Position(i * space, out lat2, out lon2); - string[] items = new string[2] { lat2.ToString(), lon2.ToString() }; - ListViewItem item = new ListViewItem(items); - m_pointsView.Items.Add(item); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - Rhumb r = new Rhumb(NETGeographicLib.Constants.WGS84.EquatorialRadius, NETGeographicLib.Constants.WGS84.Flattening, true); - double lat1 = 32.0, lon1 = -86.0, azi12 = 45.0, s12 = 5000.0; - double lat2, lon2, _s12, _azi12, Area, _Area; - r.Direct(lat1, lon1, azi12, s12, out lat2, out lon2); - r.Inverse(lat1, lon1, lat2, lon2, out _s12, out _azi12); - if ( Test(s12,_s12) || Test(azi12,_azi12)) - throw new Exception(String.Format("Inverse != Direct: S12 -> {0}, {1}, azi12 -> {2}, {3}", s12, _s12, azi12, _azi12)); - r.Direct(lat1, lon1, azi12, s12, out lat2, out lon2, out Area); - r.Inverse(lat1, lon1, lat2, lon2, out _s12, out _azi12, out _Area); - if (Test(s12, _s12) || Test(azi12, _azi12) || Test(Area,_Area)) - throw new Exception(String.Format("Inverse != Direct: S12 -> {0}, {1}, azi12 -> {2}, {3}, Area -> {4}, {5}", s12, _s12, azi12, _azi12, Area, _Area)); - - double _lat2, _lon2; - RhumbLine l = r.Line(lat1, lon1, azi12); - l.Position(s12, out _lat2, out _lon2); - if (Test(lat2,_lat2) || Test(lon2, _lon2)) - throw new Exception(String.Format("Latitude -> {0}, {1}, Longitude -> {2}, {3}", lat2, _lat2, lon2, _lon2)); - l.Position(s12, out _lat2, out _lon2, out _Area); - if (Test(lat2, _lat2) || Test(lon2, _lon2) || Test(Area, _Area)) - throw new Exception(String.Format("Latitude -> {0}, {1}, Longitude -> {2}, {3}, Area -> {4}, {5}", lat2, _lat2, lon2, _lon2, Area, _Area)); - - MessageBox.Show("No exceptions detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - catch ( Exception xcpt ) - { - MessageBox.Show( xcpt.Message, "Exception thrown", MessageBoxButtons.OK, MessageBoxIcon.Error ); - } - } - - bool Test(double a, double b) - { - double delta = a != 0.0 ? Math.Abs((a - b) / a) : Math.Abs(a - b); - return delta > 1.0e-12; - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.resx deleted file mode 100644 index ed0aef9346c39ab245aad1ccc01439f98d437d7e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/RhumbPanel.resx +++ /dev/null @@ -1,120 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.Designer.cs deleted file mode 100644 index b025e4d2863865dcab35ae67c5a126243eabbf6b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.Designer.cs +++ /dev/null @@ -1,390 +0,0 @@ -namespace Projections -{ - partial class SphericalHarmonicsPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.components = new System.ComponentModel.Container(); - this.m_toolTip = new System.Windows.Forms.ToolTip(this.components); - this.m_classComboBox = new System.Windows.Forms.ComboBox(); - this.button1 = new System.Windows.Forms.Button(); - this.label2 = new System.Windows.Forms.Label(); - this.label1 = new System.Windows.Forms.Label(); - this.label3 = new System.Windows.Forms.Label(); - this.m_tau1Label = new System.Windows.Forms.Label(); - this.label4 = new System.Windows.Forms.Label(); - this.m_xTextBox = new System.Windows.Forms.TextBox(); - this.m_yTextBox = new System.Windows.Forms.TextBox(); - this.m_zTextBox = new System.Windows.Forms.TextBox(); - this.m_tau1TextBox = new System.Windows.Forms.TextBox(); - this.m_tau2TextBox = new System.Windows.Forms.TextBox(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.label7 = new System.Windows.Forms.Label(); - this.label8 = new System.Windows.Forms.Label(); - this.label9 = new System.Windows.Forms.Label(); - this.m_sumTextBox = new System.Windows.Forms.TextBox(); - this.m_gradXTextBox = new System.Windows.Forms.TextBox(); - this.m_gradYTextBox = new System.Windows.Forms.TextBox(); - this.m_gradZTextBox = new System.Windows.Forms.TextBox(); - this.button2 = new System.Windows.Forms.Button(); - this.label10 = new System.Windows.Forms.Label(); - this.label11 = new System.Windows.Forms.Label(); - this.m_circleRadiusTextBox = new System.Windows.Forms.TextBox(); - this.m_circleHeightTextBox = new System.Windows.Forms.TextBox(); - this.label12 = new System.Windows.Forms.Label(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.button3 = new System.Windows.Forms.Button(); - this.SuspendLayout(); - // - // m_classComboBox - // - this.m_classComboBox.DropDownStyle = System.Windows.Forms.ComboBoxStyle.DropDownList; - this.m_classComboBox.FormattingEnabled = true; - this.m_classComboBox.Items.AddRange(new object[] { - "Spherical Harmonic", - "Spherical Harmonic 1", - "Spherical Harmonic 2"}); - this.m_classComboBox.Location = new System.Drawing.Point(4, 155); - this.m_classComboBox.Name = "m_classComboBox"; - this.m_classComboBox.Size = new System.Drawing.Size(139, 21); - this.m_classComboBox.TabIndex = 10; - this.m_toolTip.SetToolTip(this.m_classComboBox, "Select Class"); - this.m_classComboBox.SelectedIndexChanged += new System.EventHandler(this.OnClass); - // - // button1 - // - this.button1.Location = new System.Drawing.Point(203, 112); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(75, 23); - this.button1.TabIndex = 12; - this.button1.Text = "Compute"; - this.m_toolTip.SetToolTip(this.button1, "Compute harmonic sum and gradient"); - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnCompute); - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(4, 8); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(14, 13); - this.label2.TabIndex = 0; - this.label2.Text = "X"; - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(4, 34); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(14, 13); - this.label1.TabIndex = 1; - this.label1.Text = "Y"; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(4, 60); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(14, 13); - this.label3.TabIndex = 2; - this.label3.Text = "Z"; - // - // m_tau1Label - // - this.m_tau1Label.AutoSize = true; - this.m_tau1Label.Location = new System.Drawing.Point(4, 86); - this.m_tau1Label.Name = "m_tau1Label"; - this.m_tau1Label.Size = new System.Drawing.Size(31, 13); - this.m_tau1Label.TabIndex = 3; - this.m_tau1Label.Text = "tau 1"; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(4, 112); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(31, 13); - this.label4.TabIndex = 4; - this.label4.Text = "tau 2"; - // - // m_xTextBox - // - this.m_xTextBox.Location = new System.Drawing.Point(43, 4); - this.m_xTextBox.Name = "m_xTextBox"; - this.m_xTextBox.Size = new System.Drawing.Size(100, 20); - this.m_xTextBox.TabIndex = 5; - // - // m_yTextBox - // - this.m_yTextBox.Location = new System.Drawing.Point(43, 30); - this.m_yTextBox.Name = "m_yTextBox"; - this.m_yTextBox.Size = new System.Drawing.Size(100, 20); - this.m_yTextBox.TabIndex = 6; - // - // m_zTextBox - // - this.m_zTextBox.Location = new System.Drawing.Point(43, 56); - this.m_zTextBox.Name = "m_zTextBox"; - this.m_zTextBox.Size = new System.Drawing.Size(100, 20); - this.m_zTextBox.TabIndex = 7; - // - // m_tau1TextBox - // - this.m_tau1TextBox.Location = new System.Drawing.Point(43, 82); - this.m_tau1TextBox.Name = "m_tau1TextBox"; - this.m_tau1TextBox.Size = new System.Drawing.Size(100, 20); - this.m_tau1TextBox.TabIndex = 8; - // - // m_tau2TextBox - // - this.m_tau2TextBox.Location = new System.Drawing.Point(43, 108); - this.m_tau2TextBox.Name = "m_tau2TextBox"; - this.m_tau2TextBox.Size = new System.Drawing.Size(100, 20); - this.m_tau2TextBox.TabIndex = 9; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(4, 136); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(32, 13); - this.label5.TabIndex = 11; - this.label5.Text = "Class"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(158, 8); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(76, 13); - this.label6.TabIndex = 13; - this.label6.Text = "Harmonic Sum"; - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(158, 33); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(57, 13); - this.label7.TabIndex = 14; - this.label7.Text = "X Gradient"; - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(158, 60); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(57, 13); - this.label8.TabIndex = 15; - this.label8.Text = "Y Gradient"; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(158, 86); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(57, 13); - this.label9.TabIndex = 16; - this.label9.Text = "X Gradient"; - // - // m_sumTextBox - // - this.m_sumTextBox.Location = new System.Drawing.Point(241, 4); - this.m_sumTextBox.Name = "m_sumTextBox"; - this.m_sumTextBox.ReadOnly = true; - this.m_sumTextBox.Size = new System.Drawing.Size(100, 20); - this.m_sumTextBox.TabIndex = 17; - // - // m_gradXTextBox - // - this.m_gradXTextBox.Location = new System.Drawing.Point(241, 29); - this.m_gradXTextBox.Name = "m_gradXTextBox"; - this.m_gradXTextBox.ReadOnly = true; - this.m_gradXTextBox.Size = new System.Drawing.Size(100, 20); - this.m_gradXTextBox.TabIndex = 18; - // - // m_gradYTextBox - // - this.m_gradYTextBox.Location = new System.Drawing.Point(241, 56); - this.m_gradYTextBox.Name = "m_gradYTextBox"; - this.m_gradYTextBox.ReadOnly = true; - this.m_gradYTextBox.Size = new System.Drawing.Size(100, 20); - this.m_gradYTextBox.TabIndex = 19; - // - // m_gradZTextBox - // - this.m_gradZTextBox.Location = new System.Drawing.Point(241, 82); - this.m_gradZTextBox.Name = "m_gradZTextBox"; - this.m_gradZTextBox.ReadOnly = true; - this.m_gradZTextBox.Size = new System.Drawing.Size(100, 20); - this.m_gradZTextBox.TabIndex = 20; - // - // button2 - // - this.button2.Location = new System.Drawing.Point(406, 86); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(100, 23); - this.button2.TabIndex = 21; - this.button2.Text = "Circular Engine"; - this.m_toolTip.SetToolTip(this.button2, "Calculates the sum for the given radius, height, and longitude using a Circular E" + - "ngine"); - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnCircularEngine); - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(348, 8); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(69, 13); - this.label10.TabIndex = 22; - this.label10.Text = "Circle Radius"; - // - // label11 - // - this.label11.AutoSize = true; - this.label11.Location = new System.Drawing.Point(348, 33); - this.label11.Name = "label11"; - this.label11.Size = new System.Drawing.Size(67, 13); - this.label11.TabIndex = 23; - this.label11.Text = "Circle Height"; - // - // m_circleRadiusTextBox - // - this.m_circleRadiusTextBox.Location = new System.Drawing.Point(458, 4); - this.m_circleRadiusTextBox.Name = "m_circleRadiusTextBox"; - this.m_circleRadiusTextBox.Size = new System.Drawing.Size(100, 20); - this.m_circleRadiusTextBox.TabIndex = 24; - // - // m_circleHeightTextBox - // - this.m_circleHeightTextBox.Location = new System.Drawing.Point(458, 29); - this.m_circleHeightTextBox.Name = "m_circleHeightTextBox"; - this.m_circleHeightTextBox.Size = new System.Drawing.Size(100, 20); - this.m_circleHeightTextBox.TabIndex = 25; - // - // label12 - // - this.label12.AutoSize = true; - this.label12.Location = new System.Drawing.Point(348, 60); - this.label12.Name = "label12"; - this.label12.Size = new System.Drawing.Size(101, 13); - this.label12.TabIndex = 26; - this.label12.Text = "Longitude (degrees)"; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(458, 56); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(100, 20); - this.m_longitudeTextBox.TabIndex = 27; - // - // button3 - // - this.button3.Location = new System.Drawing.Point(203, 155); - this.button3.Name = "button3"; - this.button3.Size = new System.Drawing.Size(75, 23); - this.button3.TabIndex = 28; - this.button3.Text = "Validate"; - this.button3.UseVisualStyleBackColor = true; - this.button3.Click += new System.EventHandler(this.OnValidate); - // - // SphericalHarmonicsPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.button3); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.label12); - this.Controls.Add(this.m_circleHeightTextBox); - this.Controls.Add(this.m_circleRadiusTextBox); - this.Controls.Add(this.label11); - this.Controls.Add(this.label10); - this.Controls.Add(this.button2); - this.Controls.Add(this.m_gradZTextBox); - this.Controls.Add(this.m_gradYTextBox); - this.Controls.Add(this.m_gradXTextBox); - this.Controls.Add(this.m_sumTextBox); - this.Controls.Add(this.label9); - this.Controls.Add(this.label8); - this.Controls.Add(this.label7); - this.Controls.Add(this.label6); - this.Controls.Add(this.button1); - this.Controls.Add(this.label5); - this.Controls.Add(this.m_classComboBox); - this.Controls.Add(this.m_tau2TextBox); - this.Controls.Add(this.m_tau1TextBox); - this.Controls.Add(this.m_zTextBox); - this.Controls.Add(this.m_yTextBox); - this.Controls.Add(this.m_xTextBox); - this.Controls.Add(this.label4); - this.Controls.Add(this.m_tau1Label); - this.Controls.Add(this.label3); - this.Controls.Add(this.label1); - this.Controls.Add(this.label2); - this.Name = "SphericalHarmonicsPanel"; - this.Size = new System.Drawing.Size(785, 293); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.ToolTip m_toolTip; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.Label label1; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label m_tau1Label; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.TextBox m_xTextBox; - private System.Windows.Forms.TextBox m_yTextBox; - private System.Windows.Forms.TextBox m_zTextBox; - private System.Windows.Forms.TextBox m_tau1TextBox; - private System.Windows.Forms.TextBox m_tau2TextBox; - private System.Windows.Forms.ComboBox m_classComboBox; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.TextBox m_sumTextBox; - private System.Windows.Forms.TextBox m_gradXTextBox; - private System.Windows.Forms.TextBox m_gradYTextBox; - private System.Windows.Forms.TextBox m_gradZTextBox; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Label label11; - private System.Windows.Forms.TextBox m_circleRadiusTextBox; - private System.Windows.Forms.TextBox m_circleHeightTextBox; - private System.Windows.Forms.Label label12; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.Button button3; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.cs deleted file mode 100644 index 2ae960a63019172279262a4200ca0a93a982b133..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.cs +++ /dev/null @@ -1,199 +0,0 @@ -/** - * \file NETGeographicLib\SphericalHarmonicsPanel.cs - * \brief NETGeographicLib Spherical Harmonics example - * - * NETGeographicLib.CircularEngine, - * NETGeographicLib.SphericalHarmonic, - * NETGeographicLib.SphericalHarmonic1, and - * NETGeographicLib.SphericalHarmonic2 example. - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class SphericalHarmonicsPanel : UserControl - { - int N = 3, N1 = 2, N2 = 1; // The maxium degrees - double[] C = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - double[] S = {6, 5, 4, 3, 2, 1}; // sine coefficients - double[] C1 = {1, 2, 3, 4, 5, 6}; - double[] S1 = {3, 2, 1}; - double[] C2 = {1, 2, 3}; - double[] S2 = {1}; - double a = 1; - - SphericalHarmonic m_sh0 = null; - SphericalHarmonic1 m_sh1 = null; - SphericalHarmonic2 m_sh2 = null; - - public SphericalHarmonicsPanel() - { - InitializeComponent(); - try - { - m_sh0 = new SphericalHarmonic(C, S, N, a, SphericalHarmonic.Normalization.SCHMIDT); - m_sh1 = new SphericalHarmonic1(C, S, N, C1, S1, N1, a, SphericalHarmonic1.Normalization.FULL); - m_sh2 = new SphericalHarmonic2(C, S, N, C1, S1, N1, C2, S2, N2, a, SphericalHarmonic2.Normalization.FULL); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - m_classComboBox.SelectedIndex = 0; - } - - private void OnClass(object sender, EventArgs e) - { - switch (m_classComboBox.SelectedIndex) - { - case 0: - m_tau1TextBox.ReadOnly = m_tau2TextBox.ReadOnly = true; - break; - case 1: - m_tau1TextBox.ReadOnly = false; - m_tau2TextBox.ReadOnly = true; - break; - case 2: - m_tau1TextBox.ReadOnly = m_tau2TextBox.ReadOnly = false; - break; - } - } - - private void OnCompute(object sender, EventArgs e) - { - try - { - double sum = 0.0, gradx = 0.0, grady = 0.0, gradz = 0.0; - double x = Double.Parse(m_xTextBox.Text); - double y = Double.Parse(m_yTextBox.Text); - double z = Double.Parse(m_zTextBox.Text); - switch (m_classComboBox.SelectedIndex) - { - case 0: - sum = m_sh0.HarmonicSum(x, y, z, out gradx, out grady, out gradz); - break; - case 1: - double tau1 = Double.Parse(m_tau1TextBox.Text); - sum = m_sh1.HarmonicSum(tau1, x, y, z, out gradx, out grady, out gradz); - break; - case 2: - tau1 = Double.Parse(m_tau1TextBox.Text); - double tau2 = Double.Parse(m_tau2TextBox.Text); - sum = m_sh2.HarmonicSum(tau1, tau2, x, y, z, out gradx, out grady, out gradz); - break; - } - m_sumTextBox.Text = sum.ToString(); - m_gradXTextBox.Text = gradx.ToString(); - m_gradYTextBox.Text = grady.ToString(); - m_gradZTextBox.Text = gradz.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnCircularEngine(object sender, EventArgs e) - { - try - { - CircularEngine ce = null; - double p = Double.Parse(m_circleRadiusTextBox.Text); - double z = Double.Parse(m_circleHeightTextBox.Text); - double longitude = Double.Parse(m_longitudeTextBox.Text); - - switch (m_classComboBox.SelectedIndex) - { - case 0: - ce = m_sh0.Circle(p, z, true); - break; - case 1: - double tau1 = Double.Parse(m_tau1TextBox.Text); - ce = m_sh1.Circle(tau1, p, z, true); - break; - case 2: - tau1 = Double.Parse(m_tau1TextBox.Text); - double tau2 = Double.Parse(m_tau2TextBox.Text); - ce = m_sh2.Circle(tau1, tau2, p, z, true); - break; - } - double gradx, grady, gradz; - m_sumTextBox.Text = ce.LongitudeSum(longitude, out gradx, out grady, out gradz).ToString(); - m_gradXTextBox.Text = gradx.ToString(); - m_gradYTextBox.Text = grady.ToString(); - m_gradZTextBox.Text = gradz.ToString(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - const double DEG_TO_RAD = 3.1415926535897932384626433832795 / 180.0; - double gradx, grady, gradz; - SphericalHarmonic s0 = new SphericalHarmonic(C, S, N, N - 1, 0, a, SphericalHarmonic.Normalization.SCHMIDT); - s0 = new SphericalHarmonic(C, S, N, a, SphericalHarmonic.Normalization.SCHMIDT); - double sum = s0.HarmonicSum(1.0, 2.0, 3.0); - double test = s0.HarmonicSum(1.0, 2.0, 3.0, out gradx, out grady, out grady); - if (sum != test) - throw new Exception("Error in SphericalHarmonic.HarmonicSum"); - SphericalCoefficients sc = s0.Coefficients(); - CircularEngine ce = s0.Circle(1.0, 0.5, true); - sum = ce.LongitudeSum(60.0); - test = ce.LongitudeSum(Math.Cos(60.0 * DEG_TO_RAD), Math.Sin(60.0 * DEG_TO_RAD)); - if ( sum != test ) - throw new Exception("Error in CircularEngine.LongitudeSum 1"); - test = ce.LongitudeSum(60.0, out gradx, out grady, out gradz); - if ( sum != test ) - throw new Exception("Error in CircularEngine.LongitudeSum 2"); - ce.LongitudeSum(Math.Cos(60.0 * DEG_TO_RAD), Math.Sin(60.0 * DEG_TO_RAD), out gradx, out grady, out gradz); - if (sum != test) - throw new Exception("Error in CircularEngine.LongitudeSum 3"); - SphericalHarmonic1 s1 = new SphericalHarmonic1(C, S, N, N - 1, 1, C1, S1, N1, N1 - 1, 0, a, SphericalHarmonic1.Normalization.SCHMIDT); - s1 = new SphericalHarmonic1(C, S, N, C1, S1, N1, a, SphericalHarmonic1.Normalization.SCHMIDT); - sum = s1.HarmonicSum(0.95, 1.0, 2.0, 3.0); - test = s1.HarmonicSum(0.95, 1.0, 2.0, 3.0, out gradx, out grady, out gradz); - if (sum != test) - throw new Exception("Error in SphericalHarmonic1.HarmonicSum 3"); - ce = s1.Circle(0.95, 1.0, 0.5, true); - sc = s1.Coefficients(); - sc = s1.Coefficients1(); - SphericalHarmonic2 s2 = new SphericalHarmonic2(C, S, N, N - 1, 2, C1, S1, N1, N1 - 1, 1, - C2, S2, N2, N2 - 1, 0, a, SphericalHarmonic2.Normalization.SCHMIDT); - s2 = new SphericalHarmonic2(C, S, N, C1, S1, N1, C2, S2, N2, a, SphericalHarmonic2.Normalization.SCHMIDT); - sum = s2.HarmonicSum(0.95, 0.8, 1.0, 2.0, 3.0); - test = s2.HarmonicSum(0.95, 0.8, 1.0, 2.0, 3.0, out gradx, out grady, out gradz); - if (sum != test) - throw new Exception("Error in SphericalHarmonic2.HarmonicSum 3"); - ce = s2.Circle(0.95, 0.8, 1.0, 0.5, true); - sc = s2.Coefficients(); - sc = s2.Coefficients1(); - sc = s2.Coefficients2(); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - return; - } - MessageBox.Show("No errors found", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.resx deleted file mode 100644 index 3ec30e045320778f2e0b8b29b0f198907a187341..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/SphericalHarmonicsPanel.resx +++ /dev/null @@ -1,123 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - 17, 17 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.Designer.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.Designer.cs deleted file mode 100644 index 048967f83af40957d016b2b915637cb82b084087..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.Designer.cs +++ /dev/null @@ -1,336 +0,0 @@ -namespace Projections -{ - partial class TypeIIIProjPanel - { - /// - /// Required designer variable. - /// - private System.ComponentModel.IContainer components = null; - - /// - /// Clean up any resources being used. - /// - /// true if managed resources should be disposed; otherwise, false. - protected override void Dispose(bool disposing) - { - if (disposing && (components != null)) - { - components.Dispose(); - } - base.Dispose(disposing); - } - - #region Component Designer generated code - - /// - /// Required method for Designer support - do not modify - /// the contents of this method with the code editor. - /// - private void InitializeComponent() - { - this.label1 = new System.Windows.Forms.Label(); - this.label2 = new System.Windows.Forms.Label(); - this.m_latitudeTextBox = new System.Windows.Forms.TextBox(); - this.m_longitudeTextBox = new System.Windows.Forms.TextBox(); - this.label3 = new System.Windows.Forms.Label(); - this.label4 = new System.Windows.Forms.Label(); - this.label5 = new System.Windows.Forms.Label(); - this.label6 = new System.Windows.Forms.Label(); - this.m_utmPoleCheckBox = new System.Windows.Forms.CheckBox(); - this.m_utmXTextBox = new System.Windows.Forms.TextBox(); - this.m_utmYTextBox = new System.Windows.Forms.TextBox(); - this.m_utmZoneTextBox = new System.Windows.Forms.TextBox(); - this.button1 = new System.Windows.Forms.Button(); - this.button2 = new System.Windows.Forms.Button(); - this.label7 = new System.Windows.Forms.Label(); - this.m_mgrsTextBox = new System.Windows.Forms.TextBox(); - this.button3 = new System.Windows.Forms.Button(); - this.label8 = new System.Windows.Forms.Label(); - this.m_osgbYTextBox = new System.Windows.Forms.TextBox(); - this.m_osgbXTextBox = new System.Windows.Forms.TextBox(); - this.label9 = new System.Windows.Forms.Label(); - this.label10 = new System.Windows.Forms.Label(); - this.button4 = new System.Windows.Forms.Button(); - this.button5 = new System.Windows.Forms.Button(); - this.m_osgbTextBox = new System.Windows.Forms.TextBox(); - this.SuspendLayout(); - // - // label1 - // - this.label1.AutoSize = true; - this.label1.Location = new System.Drawing.Point(167, 38); - this.label1.Name = "label1"; - this.label1.Size = new System.Drawing.Size(45, 13); - this.label1.TabIndex = 0; - this.label1.Text = "Latitude"; - // - // label2 - // - this.label2.AutoSize = true; - this.label2.Location = new System.Drawing.Point(167, 67); - this.label2.Name = "label2"; - this.label2.Size = new System.Drawing.Size(54, 13); - this.label2.TabIndex = 1; - this.label2.Text = "Longitude"; - // - // m_latitudeTextBox - // - this.m_latitudeTextBox.Location = new System.Drawing.Point(227, 34); - this.m_latitudeTextBox.Name = "m_latitudeTextBox"; - this.m_latitudeTextBox.Size = new System.Drawing.Size(126, 20); - this.m_latitudeTextBox.TabIndex = 2; - // - // m_longitudeTextBox - // - this.m_longitudeTextBox.Location = new System.Drawing.Point(227, 63); - this.m_longitudeTextBox.Name = "m_longitudeTextBox"; - this.m_longitudeTextBox.Size = new System.Drawing.Size(126, 20); - this.m_longitudeTextBox.TabIndex = 3; - // - // label3 - // - this.label3.AutoSize = true; - this.label3.Location = new System.Drawing.Point(445, 10); - this.label3.Name = "label3"; - this.label3.Size = new System.Drawing.Size(53, 13); - this.label3.TabIndex = 4; - this.label3.Text = "UTMUPS"; - // - // label4 - // - this.label4.AutoSize = true; - this.label4.Location = new System.Drawing.Point(364, 38); - this.label4.Name = "label4"; - this.label4.Size = new System.Drawing.Size(14, 13); - this.label4.TabIndex = 5; - this.label4.Text = "X"; - // - // label5 - // - this.label5.AutoSize = true; - this.label5.Location = new System.Drawing.Point(364, 67); - this.label5.Name = "label5"; - this.label5.Size = new System.Drawing.Size(14, 13); - this.label5.TabIndex = 6; - this.label5.Text = "Y"; - // - // label6 - // - this.label6.AutoSize = true; - this.label6.Location = new System.Drawing.Point(364, 98); - this.label6.Name = "label6"; - this.label6.Size = new System.Drawing.Size(32, 13); - this.label6.TabIndex = 7; - this.label6.Text = "Zone"; - // - // m_utmPoleCheckBox - // - this.m_utmPoleCheckBox.AutoSize = true; - this.m_utmPoleCheckBox.Location = new System.Drawing.Point(364, 124); - this.m_utmPoleCheckBox.Name = "m_utmPoleCheckBox"; - this.m_utmPoleCheckBox.Size = new System.Drawing.Size(76, 17); - this.m_utmPoleCheckBox.TabIndex = 8; - this.m_utmPoleCheckBox.Text = "North Pole"; - this.m_utmPoleCheckBox.UseVisualStyleBackColor = true; - // - // m_utmXTextBox - // - this.m_utmXTextBox.Location = new System.Drawing.Point(456, 34); - this.m_utmXTextBox.Name = "m_utmXTextBox"; - this.m_utmXTextBox.Size = new System.Drawing.Size(126, 20); - this.m_utmXTextBox.TabIndex = 9; - // - // m_utmYTextBox - // - this.m_utmYTextBox.Location = new System.Drawing.Point(456, 63); - this.m_utmYTextBox.Name = "m_utmYTextBox"; - this.m_utmYTextBox.Size = new System.Drawing.Size(126, 20); - this.m_utmYTextBox.TabIndex = 10; - // - // m_utmZoneTextBox - // - this.m_utmZoneTextBox.Location = new System.Drawing.Point(456, 94); - this.m_utmZoneTextBox.Name = "m_utmZoneTextBox"; - this.m_utmZoneTextBox.Size = new System.Drawing.Size(126, 20); - this.m_utmZoneTextBox.TabIndex = 11; - // - // button1 - // - this.button1.Location = new System.Drawing.Point(228, 148); - this.button1.Name = "button1"; - this.button1.Size = new System.Drawing.Size(85, 23); - this.button1.TabIndex = 12; - this.button1.Text = "<- Convert ->"; - this.button1.UseVisualStyleBackColor = true; - this.button1.Click += new System.EventHandler(this.OnConvertLatLon); - // - // button2 - // - this.button2.Location = new System.Drawing.Point(431, 148); - this.button2.Name = "button2"; - this.button2.Size = new System.Drawing.Size(81, 23); - this.button2.TabIndex = 13; - this.button2.Text = "<- Convert ->"; - this.button2.UseVisualStyleBackColor = true; - this.button2.Click += new System.EventHandler(this.OnConvertUTMUPS); - // - // label7 - // - this.label7.AutoSize = true; - this.label7.Location = new System.Drawing.Point(663, 10); - this.label7.Name = "label7"; - this.label7.Size = new System.Drawing.Size(39, 13); - this.label7.TabIndex = 14; - this.label7.Text = "MGRS"; - // - // m_mgrsTextBox - // - this.m_mgrsTextBox.Location = new System.Drawing.Point(606, 34); - this.m_mgrsTextBox.Name = "m_mgrsTextBox"; - this.m_mgrsTextBox.Size = new System.Drawing.Size(152, 20); - this.m_mgrsTextBox.TabIndex = 15; - // - // button3 - // - this.button3.Location = new System.Drawing.Point(642, 148); - this.button3.Name = "button3"; - this.button3.Size = new System.Drawing.Size(81, 23); - this.button3.TabIndex = 16; - this.button3.Text = "<- Convert "; - this.button3.UseVisualStyleBackColor = true; - this.button3.Click += new System.EventHandler(this.OnConvertMGRS); - // - // label8 - // - this.label8.AutoSize = true; - this.label8.Location = new System.Drawing.Point(69, 10); - this.label8.Name = "label8"; - this.label8.Size = new System.Drawing.Size(37, 13); - this.label8.TabIndex = 17; - this.label8.Text = "OSGB"; - // - // m_osgbYTextBox - // - this.m_osgbYTextBox.Location = new System.Drawing.Point(24, 63); - this.m_osgbYTextBox.Name = "m_osgbYTextBox"; - this.m_osgbYTextBox.Size = new System.Drawing.Size(126, 20); - this.m_osgbYTextBox.TabIndex = 21; - // - // m_osgbXTextBox - // - this.m_osgbXTextBox.Location = new System.Drawing.Point(24, 38); - this.m_osgbXTextBox.Name = "m_osgbXTextBox"; - this.m_osgbXTextBox.Size = new System.Drawing.Size(126, 20); - this.m_osgbXTextBox.TabIndex = 20; - // - // label9 - // - this.label9.AutoSize = true; - this.label9.Location = new System.Drawing.Point(4, 68); - this.label9.Name = "label9"; - this.label9.Size = new System.Drawing.Size(14, 13); - this.label9.TabIndex = 19; - this.label9.Text = "Y"; - // - // label10 - // - this.label10.AutoSize = true; - this.label10.Location = new System.Drawing.Point(4, 39); - this.label10.Name = "label10"; - this.label10.Size = new System.Drawing.Size(14, 13); - this.label10.TabIndex = 18; - this.label10.Text = "X"; - // - // button4 - // - this.button4.Location = new System.Drawing.Point(50, 147); - this.button4.Name = "button4"; - this.button4.Size = new System.Drawing.Size(75, 23); - this.button4.TabIndex = 22; - this.button4.Text = "Convert ->"; - this.button4.UseVisualStyleBackColor = true; - this.button4.Click += new System.EventHandler(this.OnConvertOSGB); - // - // button5 - // - this.button5.Location = new System.Drawing.Point(367, 189); - this.button5.Name = "button5"; - this.button5.Size = new System.Drawing.Size(75, 23); - this.button5.TabIndex = 23; - this.button5.Text = "Validate"; - this.button5.UseVisualStyleBackColor = true; - this.button5.Click += new System.EventHandler(this.OnValidate); - // - // m_osgbTextBox - // - this.m_osgbTextBox.Location = new System.Drawing.Point(7, 93); - this.m_osgbTextBox.Name = "m_osgbTextBox"; - this.m_osgbTextBox.ReadOnly = true; - this.m_osgbTextBox.Size = new System.Drawing.Size(143, 20); - this.m_osgbTextBox.TabIndex = 24; - // - // TypeIIIProjPanel - // - this.AutoScaleDimensions = new System.Drawing.SizeF(6F, 13F); - this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font; - this.Controls.Add(this.m_osgbTextBox); - this.Controls.Add(this.button5); - this.Controls.Add(this.button4); - this.Controls.Add(this.m_osgbYTextBox); - this.Controls.Add(this.m_osgbXTextBox); - this.Controls.Add(this.label9); - this.Controls.Add(this.label10); - this.Controls.Add(this.label8); - this.Controls.Add(this.button3); - this.Controls.Add(this.m_mgrsTextBox); - this.Controls.Add(this.label7); - this.Controls.Add(this.button2); - this.Controls.Add(this.button1); - this.Controls.Add(this.m_utmZoneTextBox); - this.Controls.Add(this.m_utmYTextBox); - this.Controls.Add(this.m_utmXTextBox); - this.Controls.Add(this.m_utmPoleCheckBox); - this.Controls.Add(this.label6); - this.Controls.Add(this.label5); - this.Controls.Add(this.label4); - this.Controls.Add(this.label3); - this.Controls.Add(this.m_longitudeTextBox); - this.Controls.Add(this.m_latitudeTextBox); - this.Controls.Add(this.label2); - this.Controls.Add(this.label1); - this.Name = "TypeIIIProjPanel"; - this.Size = new System.Drawing.Size(1001, 358); - this.ResumeLayout(false); - this.PerformLayout(); - - } - - #endregion - - private System.Windows.Forms.Label label1; - private System.Windows.Forms.Label label2; - private System.Windows.Forms.TextBox m_latitudeTextBox; - private System.Windows.Forms.TextBox m_longitudeTextBox; - private System.Windows.Forms.Label label3; - private System.Windows.Forms.Label label4; - private System.Windows.Forms.Label label5; - private System.Windows.Forms.Label label6; - private System.Windows.Forms.CheckBox m_utmPoleCheckBox; - private System.Windows.Forms.TextBox m_utmXTextBox; - private System.Windows.Forms.TextBox m_utmYTextBox; - private System.Windows.Forms.TextBox m_utmZoneTextBox; - private System.Windows.Forms.Button button1; - private System.Windows.Forms.Button button2; - private System.Windows.Forms.Label label7; - private System.Windows.Forms.TextBox m_mgrsTextBox; - private System.Windows.Forms.Button button3; - private System.Windows.Forms.Label label8; - private System.Windows.Forms.TextBox m_osgbYTextBox; - private System.Windows.Forms.TextBox m_osgbXTextBox; - private System.Windows.Forms.Label label9; - private System.Windows.Forms.Label label10; - private System.Windows.Forms.Button button4; - private System.Windows.Forms.Button button5; - private System.Windows.Forms.TextBox m_osgbTextBox; - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.cs b/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.cs deleted file mode 100644 index 27710f1eea102f3555da081322bddc46df91c7c0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.cs +++ /dev/null @@ -1,157 +0,0 @@ -/** - * \file NETGeographicLib\TypeIIIProjPanel.cs - * \brief NETGeographicLib.projections example - * - * NETGeographicLib.UTMUPS, - * NETGeographicLib.MGRS, and - * NETGeographicLib.OSGB example. - * - * NETGeographicLib is copyright (c) Scott Heiman (2013) - * GeographicLib is Copyright (c) Charles Karney (2010-2012) - * and licensed under the MIT/X11 License. - * For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -using System; -using System.Collections.Generic; -using System.ComponentModel; -using System.Drawing; -using System.Data; -using System.Linq; -using System.Text; -using System.Windows.Forms; -using NETGeographicLib; - -namespace Projections -{ - public partial class TypeIIIProjPanel : UserControl - { - public TypeIIIProjPanel() - { - InitializeComponent(); - } - - private void OnConvertLatLon(object sender, EventArgs e) - { - try - { - int zone; - bool northp; - double x, y; - string str; - double lat = Double.Parse(m_latitudeTextBox.Text); - double lon = Double.Parse(m_longitudeTextBox.Text); - UTMUPS.Forward(lat, lon, out zone, out northp, out x, out y, (int)UTMUPS.ZoneSpec.STANDARD, true); - m_utmPoleCheckBox.Checked = northp; - m_utmXTextBox.Text = x.ToString(); - m_utmYTextBox.Text = y.ToString(); - m_utmZoneTextBox.Text = zone.ToString(); - MGRS.Forward(zone,northp,x,y,8,out str ); - m_mgrsTextBox.Text = str; - OSGB.Forward(lat, lon, out x, out y); - m_osgbXTextBox.Text = x.ToString(); - m_osgbYTextBox.Text = y.ToString(); - OSGB.GridReference(x, y, 8, out str); - m_osgbTextBox.Text = str; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnConvertUTMUPS(object sender, EventArgs e) - { - try - { - double lat, lon; - string str; - double x = Double.Parse(m_utmXTextBox.Text); - double y = Double.Parse(m_utmYTextBox.Text); - int zone = Int32.Parse(m_utmZoneTextBox.Text); - UTMUPS.Reverse(zone, m_utmPoleCheckBox.Checked, x, y, out lat, out lon, true); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - MGRS.Forward(zone, m_utmPoleCheckBox.Checked, x, y, 8, out str); - m_mgrsTextBox.Text = str; - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - - private void OnConvertMGRS(object sender, EventArgs e) - { - int zone, prec; - bool northp; - double x, y, lat, lon; - MGRS.Reverse(m_mgrsTextBox.Text, out zone, out northp, out x, out y, out prec, true); - m_utmPoleCheckBox.Checked = northp; - m_utmXTextBox.Text = x.ToString(); - m_utmYTextBox.Text = y.ToString(); - m_utmZoneTextBox.Text = zone.ToString(); - UTMUPS.Reverse(zone, northp, x, y, out lat, out lon, true); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - } - - private void OnConvertOSGB(object sender, EventArgs e) - { - // the latitude and longitude returned by OSGB is not WGS84 and should not - // be used with UTMUPS or MGRS. - double x = Double.Parse(m_osgbXTextBox.Text); - double y = Double.Parse(m_osgbYTextBox.Text); - double lat, lon; - OSGB.Reverse(x, y, out lat, out lon); - m_latitudeTextBox.Text = lat.ToString(); - m_longitudeTextBox.Text = lon.ToString(); - } - - private void OnValidate(object sender, EventArgs e) - { - try - { - string str; - int prec, zone, zout; - bool northp; - double x, y, x1, y1, gamma, k, lat, lon; - OSGB.Forward(52.0,-2.0, out x, out y, out gamma, out k); - OSGB.Forward(52.0, -2.0, out x1, out y1); - if (x != x1 || y != y1) - throw new Exception("Error in OSGB.Forward"); - OSGB.Reverse(x, y, out lat, out lon, out gamma, out k); - OSGB.Reverse(x, y, out x1, out y1); - if ( lat != x1 || lon != y1 ) - throw new Exception("Error in OSGB.Reverse"); - OSGB.GridReference(x,y,8,out str); - OSGB.GridReference(str, out x1, out y1, out prec, true); - UTMUPS.StandardZone(32.0, -80.0, (int)UTMUPS.ZoneSpec.STANDARD); - UTMUPS.UTMShift(); - UTMUPS.StandardZone(32.0, -86.0, (int)UTMUPS.ZoneSpec.STANDARD); - UTMUPS.Forward(32.0, -86.0, out zone, out northp, out x, out y, out gamma, out k, (int)UTMUPS.ZoneSpec.STANDARD, true); - UTMUPS.Forward(32.0, -86.0, out zone, out northp, out x1, out y1, (int)UTMUPS.ZoneSpec.STANDARD, true); - if (x != x1 || y != y1) - throw new Exception("Error in UTMUPS.Forward"); - UTMUPS.Reverse(zone, northp, x, y, out lat, out lon, out gamma, out k, true); - UTMUPS.Reverse(zone, northp, x, y, out x1, out y1, true); - if (lat != x1 || lon != y1) - throw new Exception("Error in UTMUPS.Reverse"); - UTMUPS.Transfer(zone, northp, x, y, zone + 1, true, out x1, out y1, out zout); - str = UTMUPS.EncodeZone(zone, northp, true); - prec = UTMUPS.EncodeEPSG(zone, northp); - UTMUPS.DecodeZone(str, out zone, out northp); - UTMUPS.DecodeEPSG(prec, out zone, out northp); - MGRS.Forward(zone, northp, x, y, 8, out str); - MGRS.Forward(zone, northp, x, y, 32.0, 8, out str); - MGRS.Reverse(str, out zone, out northp, out x, out y, out prec, true); - - MessageBox.Show("No errors detected", "OK", MessageBoxButtons.OK, MessageBoxIcon.Information); - } - catch (Exception xcpt) - { - MessageBox.Show(xcpt.Message, "Error", MessageBoxButtons.OK, MessageBoxIcon.Error); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.resx b/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.resx deleted file mode 100644 index ed0aef9346c39ab245aad1ccc01439f98d437d7e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/Projections/TypeIIIProjPanel.resx +++ /dev/null @@ -1,120 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - text/microsoft-resx - - - 2.0 - - - System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - - System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089 - - diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Accumulator.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Accumulator.cs deleted file mode 100644 index cdeb86cdc851c0574df9137baa79b6ec99bc9bf4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Accumulator.cs +++ /dev/null @@ -1,25 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_Accumulator -{ - class Program - { - static void Main(string[] args) - { - try { - // Compare using Accumulator and ordinary summation for a sum of large and - // small terms. - double sum = 0; - Accumulator acc = new Accumulator(); - acc.Assign( 0.0 ); - sum += 1e20; sum += 1; sum += 2; sum += 100; sum += 5000; sum += -1e20; - acc.Sum( 1e20 ); acc.Sum( 1 ); acc.Sum( 2 ); acc.Sum( 100 ); acc.Sum( 5000 ); acc.Sum( -1e20 ); - Console.WriteLine(String.Format("{0} {1}", sum, acc.Result())); - } - catch (GeographicErr e) { - Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-AlbersEqualArea.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-AlbersEqualArea.cs deleted file mode 100644 index 4c79eeb1bd4cc3958c6d8754667a95dc5f52e061..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-AlbersEqualArea.cs +++ /dev/null @@ -1,39 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_AlbersEqualArea -{ - class Program - { - static void Main(string[] args) - { - try { - const double - lat1 = 40 + 58/60.0, lat2 = 39 + 56/60.0, // standard parallels - k1 = 1, // scale - lon0 = -77 - 45/60.0; // Central meridian - // Set up basic projection - AlbersEqualArea albers = new AlbersEqualArea( Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening, - lat1, lat2, k1); - { - // Sample conversion from geodetic to Albers Equal Area - double lat = 39.95, lon = -75.17; // Philadelphia - double x, y; - albers.Forward(lon0, lat, lon, out x, out y); - Console.WriteLine( String.Format("X: {0} Y: {1}", x, y ) ); - } - { - // Sample conversion from Albers Equal Area grid to geodetic - double x = 220e3, y = -53e3; - double lat, lon; - albers.Reverse(lon0, x, y, out lat, out lon); - Console.WriteLine( String.Format("Latitude: {0} Longitude: {1}", lat, lon ) ); - } - } - catch (GeographicErr e) { - Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-AzimuthalEquidistant.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-AzimuthalEquidistant.cs deleted file mode 100644 index c6d993d9badd003a14ad9141e37b826353ab93b1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-AzimuthalEquidistant.cs +++ /dev/null @@ -1,34 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_AzimuthalEquidistant -{ - class Program - { - static void Main(string[] args) - { - try { - Geodesic geod = new Geodesic(); // WGS84 - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - AzimuthalEquidistant proj = new AzimuthalEquidistant(geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj.Forward(lat0, lon0, lat, lon, out x, out y); - Console.WriteLine( String.Format("X: {0} Y: {1}", x, y ) ); - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj.Reverse(lat0, lon0, x, y, out lat, out lon); - Console.WriteLine( String.Format("Latitude: {0} Longitude: {1}", lat, lon ) ); - } - } - catch (GeographicErr e) { - Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-CassiniSoldner.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-CassiniSoldner.cs deleted file mode 100644 index e54b08aba01f74cb96679e52bfe85a40e27679be..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-CassiniSoldner.cs +++ /dev/null @@ -1,34 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_CassiniSoldner -{ - class Program - { - static void Main(string[] args) - { - try { - Geodesic geod = new Geodesic(); // WGS84 - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - CassiniSoldner proj = new CassiniSoldner(lat0, lon0, geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj.Forward(lat, lon, out x, out y); - Console.WriteLine(String.Format("X: {0} Y: {1}", x, y)); - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj.Reverse(x, y, out lat, out lon); - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat, lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-CircularEngine.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-CircularEngine.cs deleted file mode 100644 index 2bf990a7b913ac25bab295fe4b64fe0fc25c3827..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-CircularEngine.cs +++ /dev/null @@ -1,30 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_CircularEngine -{ - class Program - { - static void Main(string[] args) - { - // This computes the same value as example-SphericalHarmonic.cpp using a - // CircularEngine (which will be faster if many values on a circle of - // latitude are to be found). - try { - int N = 3; // The maxium degree - double[] ca = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - double[] sa = {6, 5, 4, 3, 2, 1}; // sine coefficients - double a = 1; - SphericalHarmonic h = new SphericalHarmonic(ca, sa, N, a, SphericalHarmonic.Normalization.SCHMIDT); - double x = 2, y = 3, z = 1, p = Math.Sqrt(x*x+y*y); - CircularEngine circ = h.Circle(p, z, true); - double v, vx, vy, vz; - v = circ.LongitudeSum(x/p, y/p, out vx, out vy, out vz); - Console.WriteLine(String.Format("{0} {1} {2} {3}", v, vx, vy, vz)); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-DMS.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-DMS.cs deleted file mode 100644 index 7fedc9c0b8fc5effa61342dd453f2a00e61322f5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-DMS.cs +++ /dev/null @@ -1,28 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_DMS -{ - class Program - { - static void Main(string[] args) - { - try { - { - string dms = "30d14'45.6\"S"; - DMS.Flag type; - double ang = DMS.Decode(dms, out type); - Console.WriteLine(String.Format("Type: {0} String: {1}", type, ang)); - } - { - double ang = -30.245715; - string dms = DMS.Encode(ang, 6, DMS.Flag.LATITUDE, 0); - Console.WriteLine(String.Format("Latitude: {0}", dms)); - } - } - catch (GeographicErr e) { - Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Ellipsoid.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Ellipsoid.cs deleted file mode 100644 index fadfc73db7a754dda59aea70ce164ca8c33713f2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Ellipsoid.cs +++ /dev/null @@ -1,29 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_Ellipsoid -{ - class Program - { - static void Main(string[] args) - { - try { - Ellipsoid wgs84 = new Ellipsoid( Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening); - // Alternatively: Ellipsoid wgs84 = new Ellipsoid(); - Console.WriteLine( String.Format( - "The latitude half way between the equator and the pole is {0}", - wgs84.InverseRectifyingLatitude(45)) ); - Console.WriteLine( String.Format( - "Half the area of the ellipsoid lies between latitudes +/- {0}", - wgs84.InverseAuthalicLatitude(30))); ; - Console.WriteLine( String.Format( - "The northernmost edge of a square Mercator map is at latitude {0}", - wgs84.InverseIsometricLatitude(180))); - } - catch (GeographicErr e) { - Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-EllipticFunction.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-EllipticFunction.cs deleted file mode 100644 index 4457875a7a1d83609bc7e163ad7fa748fa2e2a8e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-EllipticFunction.cs +++ /dev/null @@ -1,39 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_EllipticFunction -{ - class Program - { - static void Main(string[] args) - { - try { - EllipticFunction ell = new EllipticFunction(0.1, 1.0); // parameter m = 0.1 - // See Abramowitz and Stegun, table 17.1 - Console.WriteLine( String.Format( "{0} {1}", ell.K(), ell.E())); - double phi = 20 * Math.Acos(-1.0) / 180.0;; - // See Abramowitz and Stegun, table 17.6 with - // alpha = asin(sqrt(m)) = 18.43 deg and phi = 20 deg - Console.WriteLine( String.Format("{0} {1}", ell.E(phi), - ell.E(Math.Sin(phi), Math.Cos(phi), - Math.Sqrt(1 - ell.k2 * Math.Sin(phi) * Math.Sin(phi))) ) ); - // See Carlson 1995, Sec 3. - Console.WriteLine(String.Format("RF(1,2,0) = {0}", EllipticFunction.RF(1,2))); - Console.WriteLine(String.Format("RF(2,3,4) = {0}", EllipticFunction.RF(2,3,4))); - Console.WriteLine(String.Format("RC(0,1/4) = {0}", EllipticFunction.RC(0,0.25))); - Console.WriteLine(String.Format("RC(9/4,2) = {0}", EllipticFunction.RC(2.25,2))); - Console.WriteLine(String.Format("RC(1/4,-2) = {0}", EllipticFunction.RC(0.25,-2))); - Console.WriteLine(String.Format("RJ(0,1,2,3) = {0}", EllipticFunction.RJ(0,1,2,3))); - Console.WriteLine(String.Format("RJ(2,3,4,5) = {0}", EllipticFunction.RJ(2,3,4,5))); - Console.WriteLine(String.Format("RD(0,2,1) = {0}", EllipticFunction.RD(0,2,1))); - Console.WriteLine(String.Format("RD(2,3,4) = {0}", EllipticFunction.RD(2,3,4))); - Console.WriteLine(String.Format("RG(0,16,16) = {0}", EllipticFunction.RG(16,16))); - Console.WriteLine(String.Format("RG(2,3,4) = {0}", EllipticFunction.RG(2,3,4))); - Console.WriteLine(String.Format("RG(0,0.0796,4) = {0}", EllipticFunction.RG(0.0796, 4))); - } - catch (GeographicErr e) { - Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GARS.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GARS.cs deleted file mode 100644 index 1a95978fc51b23332cd479a5b68faff993d01e6d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GARS.cs +++ /dev/null @@ -1,36 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_GARS -{ - class Program - { - static void Main(string[] args) - { - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland - string gars; - for (int prec = 0; prec <= 2; ++prec) { - GARS.Forward(lat, lon, prec, out gars); - Console.WriteLine(String.Format("Precision: {0} GARS: {1}", prec, gars)); - } - } - { - // Sample reverse calculation - string gars = "381NH45"; - double lat, lon; - for (int len = 5; len <= gars.Length; ++len) { - int prec; - GARS.Reverse(gars.Substring(0, len), out lat, out lon, out prec, true); - Console.WriteLine(String.Format("Precision: {0} Latitude: {1} Longitude {2}", prec, lat, lon)); - } - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught Exception {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeoCoords.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeoCoords.cs deleted file mode 100644 index 274dea7cb6f593f6e7255497d4676d56a1e96469..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeoCoords.cs +++ /dev/null @@ -1,26 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_GeoCoords -{ - class Program - { - static void Main(string[] args) - { - try { - // Miscellaneous conversions - double lat = 33.3, lon = 44.4; - GeoCoords c = new GeoCoords(lat, lon, -1); - Console.WriteLine(c.MGRSRepresentation(-3)); - c.Reset("18TWN0050", true, false); - Console.WriteLine(c.DMSRepresentation(0, false, 0)); - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", c.Latitude, c.Longitude)); - c.Reset("1d38'W 55d30'N", true, false); - Console.WriteLine(c.GeoRepresentation(0, false)); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geocentric.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geocentric.cs deleted file mode 100644 index 5b1a1572268948673ee30c576606e5d827e62465..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geocentric.cs +++ /dev/null @@ -1,37 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_Geocentric -{ - class Program - { - static void Main(string[] args) - { - try { - Geocentric earth = new Geocentric( Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening); - // Alternatively: Geocentric earth = new Geocentric(); - { - // Sample forward calculation - double lat = 27.99, lon = 86.93, h = 8820; // Mt Everest - double X, Y, Z; - earth.Forward(lat, lon, h, out X, out Y, out Z); - Console.WriteLine( String.Format( "{0} {1} {2}", - Math.Floor(X / 1000 + 0.5), - Math.Floor(Y / 1000 + 0.5), - Math.Floor(Z / 1000 + 0.5) ) ); - } - { - // Sample reverse calculation - double X = 302e3, Y = 5636e3, Z = 2980e3; - double lat, lon, h; - earth.Reverse(X, Y, Z, out lat, out lon, out h); - Console.WriteLine(String.Format("{0} {1} {2}", lat, lon, h)); - } - } - catch (GeographicErr e) { - Console.WriteLine( String.Format( "Caught exception: {0}", e.Message ) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geodesic.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geodesic.cs deleted file mode 100644 index 95d199823ca14e77963cbdd5151bf5d37d9fdf2b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geodesic.cs +++ /dev/null @@ -1,36 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_Geodesic -{ - class Program - { - static void Main(string[] args) - { - try { - Geodesic geod = new Geodesic( Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening ); - // Alternatively: Geodesic geod = new Geodesic(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi1 = 51; - double lat2, lon2; - geod.Direct(lat1, lon1, azi1, s12, out lat2, out lon2); - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat2, lon2)); - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12; - geod.Inverse(lat1, lon1, lat2, lon2, out s12); - Console.WriteLine( s12 ); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicExact.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicExact.cs deleted file mode 100644 index 8785c5623ea905a9a23ca9bef01e4546e51eaaef..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicExact.cs +++ /dev/null @@ -1,36 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_GeodesicExact -{ - class Program - { - static void Main(string[] args) - { - try { - GeodesicExact geod = new GeodesicExact( Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening ); - // Alternatively: GeodesicExact geod = new GeodesicExact(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi1 = 51; - double lat2, lon2; - geod.Direct(lat1, lon1, azi1, s12, out lat2, out lon2); - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat2, lon2)); - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12; - geod.Inverse(lat1, lon1, lat2, lon2, out s12); - Console.WriteLine(s12); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicLine.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicLine.cs deleted file mode 100644 index 3a0c34a987d408d1fa1142ca79d77e07994c0c96..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicLine.cs +++ /dev/null @@ -1,50 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_GeodesicLine -{ - class Program - { - static void Main(string[] args) - { - try - { - // Print waypoints between JFK and SIN - Geodesic geod = new Geodesic(); // WGS84 - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - double s12, azi1, azi2, - a12 = geod.Inverse(lat1, lon1, lat2, lon2, out s12, out azi1, out azi2); - GeodesicLine line = new GeodesicLine(geod, lat1, lon1, azi1, Mask.ALL); - // Alternatively GeodesicLine line = geod.Line(lat1, lon1, azi1, Mask.ALL); - double ds = 500e3; // Nominal distance between points = 500 km - int num = (int)(Math.Ceiling(s12 / ds)); // The number of intervals - { - // Use intervals of equal length - ds = s12 / num; - for (int i = 0; i <= num; ++i) - { - double lat, lon; - line.Position(i * ds, out lat, out lon); - Console.WriteLine(String.Format("i: {0} Latitude: {1} Longitude: {2}", i, lat, lon)); - } - } - { - // Slightly faster, use intervals of equal arc length - double da = a12 / num; - for (int i = 0; i <= num; ++i) - { - double lat, lon; - line.ArcPosition(i * da, out lat, out lon); - Console.WriteLine(String.Format("i: {0} Latitude: {1} Longitude: {2}", i, lat, lon)); - } - } - } - catch (GeographicErr e) - { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicLineExact.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicLineExact.cs deleted file mode 100644 index 71747d9505fef339859e7f962d5d79a47f9fbb43..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GeodesicLineExact.cs +++ /dev/null @@ -1,46 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_GeodesicLineExact -{ - class Program - { - static void Main(string[] args) - { - try { - // Print waypoints between JFK and SIN - GeodesicExact geod = new GeodesicExact(); // WGS84 - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - double s12, azi1, azi2, - a12 = geod.Inverse(lat1, lon1, lat2, lon2, out s12, out azi1, out azi2); - GeodesicLineExact line = new GeodesicLineExact(geod, lat1, lon1, azi1, Mask.ALL); - // Alternatively GeodesicLine line = geod.Line(lat1, lon1, azi1, Mask.ALL); - double ds = 500e3; // Nominal distance between points = 500 km - int num = (int)(Math.Ceiling(s12 / ds)); // The number of intervals - { - // Use intervals of equal length - ds = s12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line.Position(i * ds, out lat, out lon); - Console.WriteLine( String.Format( "i: {0} Latitude: {1} Longitude: {2}", i, lat, lon )); - } - } - { - // Slightly faster, use intervals of equal arc length - double da = a12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line.ArcPosition(i * da, out lat, out lon); - Console.WriteLine( String.Format( "i: {0} Latitude: {1} Longitude: {2}", i, lat, lon )); - } - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geohash.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geohash.cs deleted file mode 100644 index 1815f33242881e4dbfb2bafa83c4d5eb6a38423c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geohash.cs +++ /dev/null @@ -1,37 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_Geohash -{ - class Program - { - static void Main(string[] args) - { - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland (the wikipedia example) - string geohash; - int maxlen = Geohash.GeohashLength(1.0e-5); - for (int len = 0; len <= maxlen; ++len) { - Geohash.Forward(lat, lon, len, out geohash); - Console.WriteLine( geohash ); - } - } - { - // Sample reverse calculation - string geohash = "u4pruydqqvj"; - double lat, lon; - for (int i = 0; i <= geohash.Length; ++i) { - int len; - Geohash.Reverse(geohash.Substring(0, i), out lat, out lon, out len, true); - Console.WriteLine(String.Format("Length: {0} Latitude: {1} Longitude: {2}", len, lat, lon ) ); - } - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geoid.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geoid.cs deleted file mode 100644 index 9c8ccbc637fe7aa00be18fd270f640913344cb3e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Geoid.cs +++ /dev/null @@ -1,25 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_Geoid -{ - class Program - { - static void Main(string[] args) - { - try { - Geoid egm96 = new Geoid("egm96-5", "", true, false); - // Convert height above egm96 to height above the ellipsoid - double lat = 42, lon = -75, height_above_geoid = 20; - double - geoid_height = egm96.Height(lat, lon), - height_above_ellipsoid = (height_above_geoid + - (double)Geoid.ConvertFlag.GEOIDTOELLIPSOID * geoid_height); - Console.WriteLine(height_above_ellipsoid); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Georef.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Georef.cs deleted file mode 100644 index c5697adaa73d0a9519e04f9a679ffc5cc7e4a9ac..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Georef.cs +++ /dev/null @@ -1,38 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_Georef -{ - class Program - { - static void Main(string[] args) - { - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland - string georef; - for (int prec = -1; prec <= 11; ++prec) { - Georef.Forward(lat, lon, prec, out georef); - Console.WriteLine(String.Format("Precision: {0} Georef: {1}", prec, georef)); - } - } - { - // Sample reverse calculation - string georef = "NKLN2444638946"; - double lat, lon; - int prec; - Georef.Reverse(georef.Substring(0, 2), out lat, out lon, out prec, true); - Console.WriteLine(String.Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)); - Georef.Reverse(georef.Substring(0, 4), out lat, out lon, out prec, true); - Console.WriteLine(String.Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)); - Georef.Reverse(georef, out lat, out lon, out prec, true); - Console.WriteLine(String.Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught Exception {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Gnomonic.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Gnomonic.cs deleted file mode 100644 index 6db9c2137bff368f4f4bf9aecc50b99e8dc8f0b3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Gnomonic.cs +++ /dev/null @@ -1,34 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_Gnomonic -{ - class Program - { - static void Main(string[] args) - { - try { - Geodesic geod = new Geodesic(); // WGS84 - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - Gnomonic proj = new Gnomonic(geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj.Forward(lat0, lon0, lat, lon, out x, out y); - Console.WriteLine(String.Format("X: {0} Y: {1}", x, y)); - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj.Reverse(lat0, lon0, x, y, out lat, out lon); - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat, lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GravityCircle.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GravityCircle.cs deleted file mode 100644 index 28a83a1509d3854f2b77ec9adae40dcf5667788b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GravityCircle.cs +++ /dev/null @@ -1,40 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_GravityCircle -{ - class Program - { - static void Main(string[] args) - { - try { - GravityModel grav = new GravityModel("egm96", ""); - double lat = 27.99, lon0 = 86.93, h = 8820; // Mt Everest - { - // Slow method of evaluating the values at several points on a circle of - // latitude. - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double gx, gy, gz; - grav.Gravity(lat, lon, h, out gx, out gy, out gz); - Console.WriteLine(String.Format("{0} {1} {2} {3}", lon, gx, gy, gz)); - } - } - { - // Fast method of evaluating the values at several points on a circle of - // latitude using GravityCircle. - GravityCircle circ = grav.Circle(lat, h, GravityModel.Mask.ALL); - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double gx, gy, gz; - circ.Gravity(lon, out gx, out gy, out gz); - Console.WriteLine(String.Format("{0} {1} {2} {3}", lon, gx, gy, gz)); - } - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GravityModel.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GravityModel.cs deleted file mode 100644 index 5e354a557e9ce9a871499a5a5ca5356847f02d7c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-GravityModel.cs +++ /dev/null @@ -1,22 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_GravityModel -{ - class Program - { - static void Main(string[] args) - { - try { - GravityModel grav = new GravityModel("egm96",""); - double lat = 27.99, lon = 86.93, h = 8820; // Mt Everest - double gx, gy, gz; - grav.Gravity(lat, lon, h, out gx, out gy, out gz); - Console.WriteLine(String.Format("{0} {1} {2}", gx, gy, gz)); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-LambertConformalConic.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-LambertConformalConic.cs deleted file mode 100644 index ad840f5efd2d6c71edced2b2cab68a23a92bd2c1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-LambertConformalConic.cs +++ /dev/null @@ -1,48 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_LambertConformalConic -{ - class Program - { - static void Main(string[] args) - { - try { - // Define the Pennsylvania South state coordinate system EPSG:3364 - // http://www.spatialreference.org/ref/epsg/3364/ - const double - lat1 = 40 + 58/60.0, lat2 = 39 + 56/60.0, // standard parallels - k1 = 1, // scale - lat0 = 39 + 20/60.0, lon0 =-77 - 45/60.0, // origin - fe = 600000, fn = 0; // false easting and northing - // Set up basic projection - LambertConformalConic PASouth = new LambertConformalConic( Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening, - lat1, lat2, k1); - double x0, y0; - // Transform origin point - PASouth.Forward(lon0, lat0, lon0, out x0, out y0); - x0 -= fe; y0 -= fn; - { - // Sample conversion from geodetic to PASouth grid - double lat = 39.95, lon = -75.17; // Philadelphia - double x, y; - PASouth.Forward(lon0, lat, lon, out x, out y); - x -= x0; y -= y0; - Console.WriteLine( String.Format("{0} {1}", x, y) ); - } - { - // Sample conversion from PASouth grid to geodetic - double x = 820e3, y = 72e3; - double lat, lon; - x += x0; y += y0; - PASouth.Reverse(lon0, x, y, out lat, out lon); - Console.WriteLine( String.Format("{0} {1}", lat, lon) ); - } - } - catch (GeographicErr e) { - Console.WriteLine( String.Format("Caught exception: {0}", e.Message) ); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-LocalCartesian.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-LocalCartesian.cs deleted file mode 100644 index eaba098a4ed1dfc1bb058aa2357428a88e649a64..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-LocalCartesian.cs +++ /dev/null @@ -1,34 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_LocalCartesian -{ - class Program - { - static void Main(string[] args) - { - try { - Geocentric earth = new Geocentric(); - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - LocalCartesian proj = new LocalCartesian(lat0, lon0, 0, earth); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8, h = 0; // Calais - double x, y, z; - proj.Forward(lat, lon, h, out x, out y, out z); - Console.WriteLine(String.Format("{0} {1} {2}", x, y, z)); - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3, z = -4e3; - double lat, lon, h; - proj.Reverse(x, y, z, out lat, out lon, out h); - Console.WriteLine(String.Format("{0} {1} {2}", lat, lon, h)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MGRS.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MGRS.cs deleted file mode 100644 index 772de13c1beb0181b572334b584525dfdfa1770c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MGRS.cs +++ /dev/null @@ -1,40 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_MGRS -{ - class Program - { - static void Main(string[] args) - { - try { - // See also example-GeoCoords.cpp - { - // Sample forward calculation - double lat = 33.3, lon = 44.4; // Baghdad - int zone; - bool northp; - double x, y; - UTMUPS.Forward(lat, lon, out zone, out northp, out x, out y, -1, true); - string mgrs; - MGRS.Forward(zone, northp, x, y, lat, 5, out mgrs); - Console.WriteLine(mgrs); - } - { - // Sample reverse calculation - string mgrs = "38SMB4488"; - int zone, prec; - bool northp; - double x, y; - MGRS.Reverse(mgrs, out zone, out northp, out x, out y, out prec, true); - double lat, lon; - UTMUPS.Reverse(zone, northp, x, y, out lat, out lon, true); - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat, lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MagneticCircle.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MagneticCircle.cs deleted file mode 100644 index 948d841582136afa03ce6cb458180b399521d481..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MagneticCircle.cs +++ /dev/null @@ -1,40 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_MagneticCircle -{ - class Program - { - static void Main(string[] args) - { - try { - MagneticModel mag = new MagneticModel("wmm2010",""); - double lat = 27.99, lon0 = 86.93, h = 8820, t = 2012; // Mt Everest - { - // Slow method of evaluating the values at several points on a circle of - // latitude. - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double Bx, By, Bz; - mag.Field(t, lat, lon, h, out Bx, out By, out Bz); - Console.WriteLine(String.Format("{0} {1} {2} {3}", lon, Bx, By, Bz)); - } - } - { - // Fast method of evaluating the values at several points on a circle of - // latitude using MagneticCircle. - MagneticCircle circ = mag.Circle(t, lat, h); - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double Bx, By, Bz; - circ.Field(lon, out Bx, out By, out Bz); - Console.WriteLine(String.Format("{0} {1} {2} {3}", lon, Bx, By, Bz)); - } - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MagneticModel.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MagneticModel.cs deleted file mode 100644 index 218b96bd260047555a388651910be9782552cc9e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-MagneticModel.cs +++ /dev/null @@ -1,24 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_MagneticModel -{ - class Program - { - static void Main(string[] args) - { - try { - MagneticModel mag = new MagneticModel("wmm2010",""); - double lat = 27.99, lon = 86.93, h = 8820, t = 2012; // Mt Everest - double Bx, By, Bz; - mag.Field(t, lat,lon, h, out Bx, out By, out Bz); - double H, F, D, I; - MagneticModel.FieldComponents(Bx, By, Bz, out H, out F, out D, out I); - Console.WriteLine(String.Format("{0} {1} {2} {3}", H, F, D, I)); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-NormalGravity.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-NormalGravity.cs deleted file mode 100644 index 270a6659ef1def2b7c3366d002056d82f7787a95..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-NormalGravity.cs +++ /dev/null @@ -1,22 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_NormalGravity -{ - class Program - { - static void Main(string[] args) - { - try { - NormalGravity grav = new NormalGravity(NormalGravity.StandardModels.WGS84); - double lat = 27.99, h = 8820; // Mt Everest - double gammay, gammaz; - grav.Gravity(lat, h, out gammay, out gammaz); - Console.WriteLine(String.Format("{0} {1}", gammay, gammaz)); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-OSGB.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-OSGB.cs deleted file mode 100644 index 2733bcfb7062c3bc7ee39b685cfbf2e011572bae..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-OSGB.cs +++ /dev/null @@ -1,39 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_OSGB -{ - class Program - { - static void Main(string[] args) - { - try { - { - // Sample forward calculation from - // A guide to coordinate systems in Great Britain - double - lat = DMS.Decode(52,39,27.2531), - lon = DMS.Decode( 1,43, 4.5177); - double x, y; - OSGB.Forward(lat, lon, out x, out y); - string gridref; - OSGB.GridReference(x, y, 2, out gridref); - Console.WriteLine(String.Format("{0} {1} {2}", x, y, gridref)); - } - { - // Sample reverse calculation - string gridref = "TG5113"; - double x, y; - int prec; - OSGB.GridReference(gridref, out x, out y, out prec, true); - double lat, lon; - OSGB.Reverse(x, y, out lat, out lon); - Console.WriteLine(String.Format("{0} {1} {2}", prec, lat, lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-PolarStereographic.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-PolarStereographic.cs deleted file mode 100644 index cfa95d9624af540ebc9138df53b7f5715f5d741d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-PolarStereographic.cs +++ /dev/null @@ -1,33 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_PolarStereographic -{ - class Program - { - static void Main(string[] args) - { - try { - PolarStereographic proj = new PolarStereographic(); // WGS84 - bool northp = true; - { - // Sample forward calculation - double lat = 61.2, lon = -149.9; // Anchorage - double x, y; - proj.Forward(northp, lat, lon, out x, out y); - Console.WriteLine(String.Format("{0} {1}", x, y)); - } - { - // Sample reverse calculation - double x = -1637e3, y = 2824e3; - double lat, lon; - proj.Reverse(northp, x, y, out lat, out lon); - Console.WriteLine(String.Format("{0} {1}", lat, lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-PolygonArea.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-PolygonArea.cs deleted file mode 100644 index 045c3b614c9fe00bfc977a12f6081b2fbbb2d5b4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-PolygonArea.cs +++ /dev/null @@ -1,26 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_PolygonArea -{ - class Program - { - static void Main(string[] args) - { - try { - Geodesic geod = new Geodesic(); // WGS84 - PolygonArea poly = new PolygonArea(geod, true); - poly.AddPoint( 52, 0); // London - poly.AddPoint( 41,-74); // New York - poly.AddPoint(-23,-43); // Rio de Janeiro - poly.AddPoint(-26, 28); // Johannesburg - double perimeter, area; - uint n = poly.Compute(false, true, out perimeter, out area); - Console.WriteLine(String.Format("{0} {1} {2}", n, perimeter, area)); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Rhumb.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Rhumb.cs deleted file mode 100644 index 8639d6b2fe04906af99aaa68a4bc2ef67db50896..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-Rhumb.cs +++ /dev/null @@ -1,38 +0,0 @@ -using System; -using System.Collections.Generic; -using System.Linq; -using System.Text; -using NETGeographicLib; - -namespace example_Rhumb -{ - class Program - { - static void Main(string[] args) - { - try { - Rhumb rhumb = new Rhumb(Constants.WGS84.EquatorialRadius, Constants.WGS84.Flattening, true); - // Alternatively: const Rhumb& rhumb = Rhumb::WGS84(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi12 = 51; - double lat2, lon2; - rhumb.Direct(lat1, lon1, azi12, s12, out lat2, out lon2); - Console.WriteLine( "{0} {1}", lat2, lon2 ); - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12, azi12; - rhumb.Inverse(lat1, lon1, lat2, lon2, out s12, out azi12); - Console.WriteLine( "{0} {1}", s12, azi12 ); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-RhumbLine.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-RhumbLine.cs deleted file mode 100644 index bf3947d9a1579465802990cc4faaf40dce15dbcb..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-RhumbLine.cs +++ /dev/null @@ -1,42 +0,0 @@ -using System; -using System.Collections.Generic; -using System.Linq; -using System.Text; -using NETGeographicLib; - -namespace example_RhumbLine -{ - class Program - { - static void Main(string[] args) - { - try { - // Print waypoints between JFK and SIN - Rhumb rhumb = new Rhumb(Constants.WGS84.EquatorialRadius, Constants.WGS84.Flattening, true); - // Alternatively: const Rhumb& rhumb = Rhumb::WGS84(); - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - double s12, azi12; - rhumb.Inverse(lat1, lon1, lat2, lon2, out s12, out azi12); - RhumbLine line = rhumb.Line(lat1, lon1, azi12); - // Alternatively - // const GeographicLib::RhumbLine line = rhumb.Line(lat1, lon1, azi1); - double ds = 500e3; // Nominal distance between points = 500 km - int num = (int)Math.Ceiling(s12 / ds); // The number of intervals - { - // Use intervals of equal length - ds = s12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line.Position(i * ds, out lat, out lon); - Console.WriteLine( "{0} {1} {2}", i, lat, lon ); - } - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic.cs deleted file mode 100644 index f55f6485b003c4d584987bc852acc0702428b78a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic.cs +++ /dev/null @@ -1,26 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_SphericalHarmonic -{ - class Program - { - static void Main(string[] args) - { - try { - int N = 3; // The maximum degree - double[] ca = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - double[] sa = {6, 5, 4, 3, 2, 1}; // sine coefficients - double a = 1; - SphericalHarmonic h = new SphericalHarmonic(ca, sa, N, a, SphericalHarmonic.Normalization.SCHMIDT); - double x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h.HarmonicSum(x, y, z, out vx, out vy, out vz); - Console.WriteLine(String.Format("{0} {1} {2} {3}", v, vx, vy, vz)); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic1.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic1.cs deleted file mode 100644 index fcb8ecda27aa496c89b8e3f6ee4b53a273f8f9f0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic1.cs +++ /dev/null @@ -1,28 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_SphericalHarmonic1 -{ - class Program - { - static void Main(string[] args) - { - try { - int N = 3, N1 = 2; // The maximum degrees - double[] ca = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - double[] sa = {6, 5, 4, 3, 2, 1}; // sine coefficients - double[] cb = {1, 2, 3, 4, 5, 6}; - double[] sb = {3, 2, 1}; - double a = 1; - SphericalHarmonic1 h = new SphericalHarmonic1(ca, sa, N, cb, sb, N1, a, SphericalHarmonic1.Normalization.SCHMIDT); - double tau = 0.1, x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h.HarmonicSum(tau, x, y, z, out vx, out vy, out vz); - Console.WriteLine(String.Format("{0} {1} {2} {3}", v, vx, vy, vz)); - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic2.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic2.cs deleted file mode 100644 index cb76e18cd1536667dee27c755d563cfbae9c9cf4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-SphericalHarmonic2.cs +++ /dev/null @@ -1,35 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_SphericalHarmonic2 -{ - class Program - { - static void Main(string[] args) - { - try - { - int N = 3, N1 = 2, N2 = 1; // The maximum degrees - double[] ca = { 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 }; // cosine coefficients - double[] sa = { 6, 5, 4, 3, 2, 1 }; // sine coefficients - double[] cb = { 1, 2, 3, 4, 5, 6 }; - double[] sb = { 3, 2, 1 }; - double[] cc = { 2, 1 }; - double[] S2 = { 0 }; - double a = 1; - SphericalHarmonic2 h = new SphericalHarmonic2( - ca, sa, N, N, N, cb, sb, N1, N1, N1, - cc, S2, N2, N2, 0, a, - SphericalHarmonic2.Normalization.SCHMIDT); - double tau1 = 0.1, tau2 = 0.05, x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h.HarmonicSum(tau1, tau2, x, y, z, out vx, out vy, out vz); - Console.WriteLine(String.Format("{0} {1} {2} {3}", v, vx, vy, vz)); - } - catch (GeographicErr e) - { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-TransverseMercator.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-TransverseMercator.cs deleted file mode 100644 index 230bdcb25cf70ebc728f5ebd6b2888ef867b35c3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-TransverseMercator.cs +++ /dev/null @@ -1,33 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_TransverseMercator -{ - class Program - { - static void Main(string[] args) - { - try { - TransverseMercator proj = new TransverseMercator(); // WGS84 - double lon0 = -75; // Central meridian for UTM zone 18 - { - // Sample forward calculation - double lat = 40.3, lon = -74.7; // Princeton, NJ - double x, y; - proj.Forward(lon0, lat, lon, out x, out y); - Console.WriteLine(String.Format("{0} {1}", x, y)); - } - { - // Sample reverse calculation - double x = 25e3, y = 4461e3; - double lat, lon; - proj.Reverse(lon0, x, y, out lat, out lon); - Console.WriteLine(String.Format("{0} {1}", lat, lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-TransverseMercatorExact.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-TransverseMercatorExact.cs deleted file mode 100644 index 5f96a7801cad513bf4ee17c4f21e2e87d6cbf7e2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-TransverseMercatorExact.cs +++ /dev/null @@ -1,33 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_TransverseMercatorExact -{ - class Program - { - static void Main(string[] args) - { - try { - TransverseMercatorExact proj = new TransverseMercatorExact(); // WGS84 - double lon0 = -75; // Central meridian for UTM zone 18 - { - // Sample forward calculation - double lat = 40.3, lon = -74.7; // Princeton, NJ - double x, y; - proj.Forward(lon0, lat, lon, out x, out y); - Console.WriteLine(String.Format("{0} {1}", x, y)); - } - { - // Sample reverse calculation - double x = 25e3, y = 4461e3; - double lat, lon; - proj.Reverse(lon0, x, y, out lat, out lon); - Console.WriteLine(String.Format("{0} {1}", lat, lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-UTMUPS.cs b/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-UTMUPS.cs deleted file mode 100644 index a1a88e76b1c783a966d9e16a8ba5e6940c591c21..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/CS/example-UTMUPS.cs +++ /dev/null @@ -1,39 +0,0 @@ -using System; -using NETGeographicLib; - -namespace example_UTMUPS -{ - class Program - { - static void Main(string[] args) - { - try { - // See also example-GeoCoords.cpp - { - // Sample forward calculation - double lat = 33.3, lon = 44.4; // Baghdad - int zone; - bool northp; - double x, y; - UTMUPS.Forward(lat, lon, out zone, out northp, out x, out y, -1, true); - string zonestr = UTMUPS.EncodeZone(zone, northp, true); - Console.WriteLine(String.Format("{0} {1} {2}", zonestr, x, y)); - } - { - // Sample reverse calculation - string zonestr = "38N"; - int zone; - bool northp; - UTMUPS.DecodeZone(zonestr, out zone, out northp); - double x = 444e3, y = 3688e3; - double lat, lon; - UTMUPS.Reverse(zone, northp, x, y, out lat, out lon, true); - Console.WriteLine(String.Format("{0} {1}", lat,lon)); - } - } - catch (GeographicErr e) { - Console.WriteLine(String.Format("Caught exception: {0}", e.Message)); - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/CMakeLists.txt b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/CMakeLists.txt deleted file mode 100644 index 88088f1848c11d40689f9696c5676487736fc0d7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/CMakeLists.txt +++ /dev/null @@ -1,51 +0,0 @@ -# Compile (but don't install) a bunch of tiny example programs for -# NETGeographic. These are mainly for including as examples within the -# doxygen documentation; however, compiling them catches most obvious -# blunders. - -file (GLOB EXAMPLE_SOURCES example-*.cpp) -set (EXAMPLES) - -foreach (EXAMPLE_SOURCE ${EXAMPLE_SOURCES}) - get_filename_component (EXAMPLE ${EXAMPLE_SOURCE} NAME_WE) - set (EXAMPLE "net${EXAMPLE}") - set (EXAMPLES ${EXAMPLES} ${EXAMPLE}) - add_executable (${EXAMPLE} EXCLUDE_FROM_ALL ${EXAMPLE_SOURCE}) - add_dependencies (${EXAMPLE} ${NETGEOGRAPHICLIB_LIBRARIES}) - if (CMAKE_VERSION VERSION_LESS 3.12) - set_target_properties (${EXAMPLE} PROPERTIES COMPILE_FLAGS "/clr") - else () - set_target_properties (${EXAMPLE} - PROPERTIES COMMON_LANGUAGE_RUNTIME "") - endif() - # This is set up for Release builds only. Change - # Release/NETGeographic.dll to Debug/NETGeographic_d.dll for Debug - # builds. TODO: get this to work for Debug + Release. Unfortunately - # generator expressions don't work in this context. - set_target_properties (${EXAMPLE} PROPERTIES VS_DOTNET_REFERENCES - "${PROJECT_BINARY_DIR}/bin/Release/NETGeographic.dll") -endforeach () - -string (REPLACE "/RTC1" "" CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG}") -string (REPLACE "/EHsc" "" CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS}") - -if (MSVC AND NOT MSVC_VERSION GREATER 1600) - # Disable "already imported" and "unsupported default parameter" - # warnings with VS 10 - set (CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4945 /wd4564") -endif () - -add_custom_target (netexamples DEPENDS ${EXAMPLES}) - -get_target_property (_LIBTYPE ${PROJECT_LIBRARIES} TYPE) -if (_LIBTYPE STREQUAL "SHARED_LIBRARY") - # Copy the shared library on Windows systems to this directory - # (examples) so that the tests can be run. - add_custom_command (TARGET netexamples POST_BUILD - COMMAND ${CMAKE_COMMAND} -E - copy $ ${CMAKE_CFG_INTDIR} - COMMENT "Copying shared library to examples directory") -endif () - -# Put all the examples into a folder in the IDE -set_property (TARGET netexamples ${EXAMPLES} PROPERTY FOLDER dotNET-examples) diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Accumulator.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Accumulator.cpp deleted file mode 100644 index b76cf7ee06947aa1532bebeef788a3708de61fbb..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Accumulator.cpp +++ /dev/null @@ -1,21 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - // Compare using Accumulator and ordinary summation for a sum of large and - // small terms. - double sum = 0; - Accumulator^ acc = gcnew Accumulator(); - acc->Assign( 0.0 ); - sum += 1e20; sum += 1; sum += 2; sum += 100; sum += 5000; sum += -1e20; - acc->Sum( 1e20 ); acc->Sum( 1 ); acc->Sum( 2 ); acc->Sum( 100 ); acc->Sum( 5000 ); acc->Sum( -1e20 ); - Console::WriteLine(String::Format("{0} {1}", sum, acc->Result())); - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format( "Caught exception: {0}", e->Message ) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-AlbersEqualArea.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-AlbersEqualArea.cpp deleted file mode 100644 index 2a997bd73fa81dd78e4b903ce095ede340563f11..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-AlbersEqualArea.cpp +++ /dev/null @@ -1,35 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - const double - lat1 = 40 + 58/60.0, lat2 = 39 + 56/60.0, // standard parallels - k1 = 1, // scale - lon0 = -77 - 45/60.0; // Central meridian - // Set up basic projection - AlbersEqualArea^ albers = gcnew AlbersEqualArea( Constants::WGS84::EquatorialRadius, - Constants::WGS84::Flattening, - lat1, lat2, k1); - { - // Sample conversion from geodetic to Albers Equal Area - double lat = 39.95, lon = -75.17; // Philadelphia - double x, y; - albers->Forward(lon0, lat, lon, x, y); - Console::WriteLine( String::Format("X: {0} Y: {1}", x, y ) ); - } - { - // Sample conversion from Albers Equal Area grid to geodetic - double x = 220e3, y = -53e3; - double lat, lon; - albers->Reverse(lon0, x, y, lat, lon); - Console::WriteLine( String::Format("Latitude: {0} Longitude: {1}", lat, lon ) ); - } - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format( "Caught exception: {0}", e->Message ) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-AzimuthalEquidistant.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-AzimuthalEquidistant.cpp deleted file mode 100644 index b99a2fd39213cf32570855106bdaeb2b4f491bfe..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-AzimuthalEquidistant.cpp +++ /dev/null @@ -1,30 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Geodesic^ geod = gcnew Geodesic(); // WGS84 - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - AzimuthalEquidistant^ proj = gcnew AzimuthalEquidistant(geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj->Forward(lat0, lon0, lat, lon, x, y); - Console::WriteLine( String::Format("X: {0} Y: {1}", x, y ) ); - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj->Reverse(lat0, lon0, x, y, lat, lon); - Console::WriteLine( String::Format("Latitude: {0} Longitude: {1}", lat, lon ) ); - } - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format( "Caught exception: {0}", e->Message ) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-CassiniSoldner.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-CassiniSoldner.cpp deleted file mode 100644 index b327535282f8a0bf7bab9ea0c411e8b47a8a0bbf..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-CassiniSoldner.cpp +++ /dev/null @@ -1,30 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Geodesic^ geod = gcnew Geodesic(); // WGS84 - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - CassiniSoldner^ proj = gcnew CassiniSoldner(lat0, lon0, geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj->Forward(lat, lon, x, y); - Console::WriteLine(String::Format("X: {0} Y: {1}", x, y)); - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj->Reverse(x, y, lat, lon); - Console::WriteLine(String::Format("Latitude: {0} Longitude: {1}", lat, lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format( "Caught exception: {0}", e->Message ) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-CircularEngine.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-CircularEngine.cpp deleted file mode 100644 index 8e7011a7c7ec772ff317fdb9b3f1bb5d8b51c46f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-CircularEngine.cpp +++ /dev/null @@ -1,26 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - // This computes the same value as example-SphericalHarmonic.cpp using a - // CircularEngine (which will be faster if many values on a circle of - // latitude are to be found). - try { - int N = 3; // The maxium degree - array^ ca = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - array^ sa = {6, 5, 4, 3, 2, 1}; // sine coefficients - double a = 1; - SphericalHarmonic^ h = gcnew SphericalHarmonic(ca, sa, N, a, SphericalHarmonic::Normalization::SCHMIDT); - double x = 2, y = 3, z = 1, p = Math::Sqrt(x*x+y*y); - CircularEngine^ circ = h->Circle(p, z, true); - double v, vx, vy, vz; - v = circ->LongitudeSum(x/p, y/p, vx, vy, vz); - Console::WriteLine(String::Format("{0} {1} {2} {3}", v, vx, vy, vz)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-DMS.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-DMS.cpp deleted file mode 100644 index bc05b48d9e69a05e802135f88c462200ad1621ce..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-DMS.cpp +++ /dev/null @@ -1,24 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - { - System::String^ dms = "30d14'45.6\"S"; - DMS::Flag type; - double ang = DMS::Decode(dms, type); - Console::WriteLine(String::Format("Type: {0} String: {1}", type, ang)); - } - { - double ang = -30.245715; - System::String^ dms = DMS::Encode(ang, 6, DMS::Flag::LATITUDE, 0); - Console::WriteLine(String::Format("Latitude: {0}", dms)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format( "Caught exception: {0}", e->Message ) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Ellipsoid.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Ellipsoid.cpp deleted file mode 100644 index ac68174e1e486d3da9ed22099fcc22b03314f039..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Ellipsoid.cpp +++ /dev/null @@ -1,25 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Ellipsoid^ wgs84 = gcnew Ellipsoid( Constants::WGS84::EquatorialRadius, - Constants::WGS84::Flattening ); - // Alternatively: Ellipsoid^ wgs84 = gcnew Ellipsoid(); - Console::WriteLine( String::Format( - "The latitude half way between the equator and the pole is {0}", - wgs84->InverseRectifyingLatitude(45)) ); - Console::WriteLine( String::Format( - "Half the area of the ellipsoid lies between latitudes +/- {0}", - wgs84->InverseAuthalicLatitude(30))); ; - Console::WriteLine( String::Format( - "The northernmost edge of a square Mercator map is at latitude {0}", - wgs84->InverseIsometricLatitude(180))); - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format( "Caught exception: {0}", e->Message ) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-EllipticFunction.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-EllipticFunction.cpp deleted file mode 100644 index efbcdafc1219b101c556df7637f52a289cb524d5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-EllipticFunction.cpp +++ /dev/null @@ -1,35 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - EllipticFunction^ ell = gcnew EllipticFunction(0.1, 1.0); // parameter m = 0.1 - // See Abramowitz and Stegun, table 17.1 - Console::WriteLine( String::Format( "{0} {1}", ell->K(), ell->E())); - double phi = 20 * Math::Acos(-1.0) / 180.0;; - // See Abramowitz and Stegun, table 17.6 with - // alpha = asin(sqrt(m)) = 18.43 deg and phi = 20 deg - Console::WriteLine( String::Format("{0} {1}", ell->E(phi), - ell->E(Math::Sin(phi), Math::Cos(phi), - Math::Sqrt(1 - ell->k2 * Math::Sin(phi) * Math::Sin(phi))) ) ); - // See Carlson 1995, Sec 3. - Console::WriteLine(String::Format("RF(1,2,0) = {0}", EllipticFunction::RF(1,2))); - Console::WriteLine(String::Format("RF(2,3,4) = {0}", EllipticFunction::RF(2,3,4))); - Console::WriteLine(String::Format("RC(0,1/4) = {0}", EllipticFunction::RC(0,0.25))); - Console::WriteLine(String::Format("RC(9/4,2) = {0}", EllipticFunction::RC(2.25,2))); - Console::WriteLine(String::Format("RC(1/4,-2) = {0}", EllipticFunction::RC(0.25,-2))); - Console::WriteLine(String::Format("RJ(0,1,2,3) = {0}", EllipticFunction::RJ(0,1,2,3))); - Console::WriteLine(String::Format("RJ(2,3,4,5) = {0}", EllipticFunction::RJ(2,3,4,5))); - Console::WriteLine(String::Format("RD(0,2,1) = {0}", EllipticFunction::RD(0,2,1))); - Console::WriteLine(String::Format("RD(2,3,4) = {0}", EllipticFunction::RD(2,3,4))); - Console::WriteLine(String::Format("RG(0,16,16) = {0}", EllipticFunction::RG(16,16))); - Console::WriteLine(String::Format("RG(2,3,4) = {0}", EllipticFunction::RG(2,3,4))); - Console::WriteLine(String::Format("RG(0,0.0796,4) = {0}", EllipticFunction::RG(0.0796, 4))); - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format( "Caught exception: {0}", e->Message ) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GARS.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GARS.cpp deleted file mode 100644 index 6f447bff9c7c3c54aa0f98382608a22ad013444e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GARS.cpp +++ /dev/null @@ -1,32 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland - String^ gars; - for (int prec = 0; prec <= 2; ++prec) { - GARS::Forward(lat, lon, prec, gars); - Console::WriteLine(String::Format("Precision: {0} GARS: {1}", prec, gars)); - } - } - { - // Sample reverse calculation - String^ gars = gcnew String("381NH45"); - double lat, lon; - for (int len = 5; len <= gars->Length; ++len) { - int prec; - GARS::Reverse(gars->Substring(0, len), lat, lon, prec, true); - Console::WriteLine(String::Format("Precision: {0} Latitude: {1} Longitude {2}", prec, lat, lon)); - } - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught Exception {0}", e->Message)); - return 1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeoCoords.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeoCoords.cpp deleted file mode 100644 index df8198217cc0e2ed584525a46c8e7d8b3cb51734..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeoCoords.cpp +++ /dev/null @@ -1,22 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - // Miscellaneous conversions - double lat = 33.3, lon = 44.4; - GeoCoords^ c = gcnew GeoCoords(lat, lon, -1); - Console::WriteLine(c->MGRSRepresentation(-3)); - c->Reset("18TWN0050", true, false); - Console::WriteLine(c->DMSRepresentation(0, false, 0)); - Console::WriteLine(String::Format("Latitude: {0} Longitude: {1}", c->Latitude, c->Longitude)); - c->Reset("1d38'W 55d30'N", true, false); - Console::WriteLine(c->GeoRepresentation(0, false)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geocentric.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geocentric.cpp deleted file mode 100644 index 5b636b952d3b9bf7206bf53175f42b69f3abe1b7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geocentric.cpp +++ /dev/null @@ -1,33 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Geocentric^ earth = gcnew Geocentric( Constants::WGS84::EquatorialRadius, - Constants::WGS84::Flattening); - // Alternatively: Geocentric earth = new Geocentric(); - { - // Sample forward calculation - double lat = 27.99, lon = 86.93, h = 8820; // Mt Everest - double X, Y, Z; - earth->Forward(lat, lon, h, X, Y, Z); - Console::WriteLine( String::Format( "{0} {1} {2}", - Math::Floor(X / 1000 + 0.5), - Math::Floor(Y / 1000 + 0.5), - Math::Floor(Z / 1000 + 0.5) ) ); - } - { - // Sample reverse calculation - double X = 302e3, Y = 5636e3, Z = 2980e3; - double lat, lon, h; - earth->Reverse(X, Y, Z, lat, lon, h); - Console::WriteLine(String::Format("{0} {1} {2}", lat, lon, h)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format( "Caught exception: {0}", e->Message ) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geodesic-small.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geodesic-small.cpp deleted file mode 100644 index b42d50f426bd81b07597b212d69c04b13cba1548..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geodesic-small.cpp +++ /dev/null @@ -1,14 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main() { - Geodesic^ geod = gcnew Geodesic(); - // Distance from JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12; - geod->Inverse(lat1, lon1, lat2, lon2, s12); - Console::WriteLine( s12 / 1000 + " km" ); - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geodesic.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geodesic.cpp deleted file mode 100644 index 36302cb57f5ef4317ddbf3735d1df7c431ba81e0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geodesic.cpp +++ /dev/null @@ -1,32 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Geodesic^ geod = gcnew Geodesic( Constants::WGS84::EquatorialRadius, - Constants::WGS84::Flattening ); - // Alternatively: Geodesic^ geod = gcnew Geodesic(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi1 = 51; - double lat2, lon2; - geod->Direct(lat1, lon1, azi1, s12, lat2, lon2); - Console::WriteLine(String::Format("Latitude: {0} Longitude: {1}", lat2, lon2)); - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12; - geod->Inverse(lat1, lon1, lat2, lon2, s12); - Console::WriteLine( s12 ); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicExact.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicExact.cpp deleted file mode 100644 index 2ef8744b78b671adecf366ff2fefd18b40fd3b49..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicExact.cpp +++ /dev/null @@ -1,32 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - GeodesicExact^ geod = gcnew GeodesicExact( Constants::WGS84::EquatorialRadius, - Constants::WGS84::Flattening ); - // Alternatively: GeodesicExact^ geod = gcnew GeodesicExact(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi1 = 51; - double lat2, lon2; - geod->Direct(lat1, lon1, azi1, s12, lat2, lon2); - Console::WriteLine(String::Format("Latitude: {0} Longitude: {1}", lat2, lon2)); - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12; - geod->Inverse(lat1, lon1, lat2, lon2, s12); - Console::WriteLine(s12); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicLine.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicLine.cpp deleted file mode 100644 index c169f64f371a7bd06dd9ea6d9b28ebf2379a5a67..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicLine.cpp +++ /dev/null @@ -1,43 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - // Print waypoints between JFK and SIN - Geodesic^ geod = gcnew Geodesic(); // WGS84 - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - double s12, azi1, azi2, - a12 = geod->Inverse(lat1, lon1, lat2, lon2, s12, azi1, azi2); - GeodesicLine^ line = gcnew GeodesicLine(geod, lat1, lon1, azi1, Mask::ALL); - // Alternatively - // const GeographicLib::GeodesicLine line = geod.Line(lat1, lon1, azi1); - double ds0 = 500e3; // Nominal distance between points = 500 km - int num = int(Math::Ceiling(s12 / ds0)); // The number of intervals - { - // Use intervals of equal length - double ds = s12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line->Position(i * ds, lat, lon); - Console::WriteLine( String::Format( "i: {0} Latitude: {1} Longitude: {2}", i, lat, lon )); - } - } - { - // Slightly faster, use intervals of equal arc length - double da = a12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line->ArcPosition(i * da, lat, lon); - Console::WriteLine( String::Format( "i: {0} Latitude: {1} Longitude: {2}", i, lat, lon )); - } - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicLineExact.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicLineExact.cpp deleted file mode 100644 index fb303d3fb2ececbe9ba6a37d1070bdc723ca5515..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GeodesicLineExact.cpp +++ /dev/null @@ -1,43 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - // Print waypoints between JFK and SIN - GeodesicExact^ geod = gcnew GeodesicExact(); // WGS84 - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - double s12, azi1, azi2, - a12 = geod->Inverse(lat1, lon1, lat2, lon2, s12, azi1, azi2); - GeodesicLineExact^ line = gcnew GeodesicLineExact(geod, lat1, lon1, azi1, Mask::ALL); - // Alternatively - // const GeographicLib::GeodesicLine line = geod.Line(lat1, lon1, azi1); - double ds0 = 500e3; // Nominal distance between points = 500 km - int num = int(Math::Ceiling(s12 / ds0)); // The number of intervals - { - // Use intervals of equal length - double ds = s12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line->Position(i * ds, lat, lon); - Console::WriteLine( String::Format( "i: {0} Latitude: {1} Longitude: {2}", i, lat, lon )); - } - } - { - // Slightly faster, use intervals of equal arc length - double da = a12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line->ArcPosition(i * da, lat, lon); - Console::WriteLine( String::Format( "i: {0} Latitude: {1} Longitude: {2}", i, lat, lon )); - } - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geohash.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geohash.cpp deleted file mode 100644 index ed150ad973193d868974b33d86b9d0386bafcc0a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geohash.cpp +++ /dev/null @@ -1,33 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland (the wikipedia example) - String^ geohash; - int maxlen = Geohash::GeohashLength(1.0e-5); - for (int len = 0; len <= maxlen; ++len) { - Geohash::Forward(lat, lon, len, geohash); - Console::WriteLine( geohash ); - } - } - { - // Sample reverse calculation - String^ geohash = "u4pruydqqvj"; - double lat, lon; - for (int i = 0; i <= geohash->Length; ++i) { - int len; - Geohash::Reverse(geohash->Substring(0, i), lat, lon, len, true); - Console::WriteLine(String::Format("Length: {0} Latitude: {1} Longitude: {2}", len, lat, lon ) ); - } - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geoid.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geoid.cpp deleted file mode 100644 index 4a313831395976fb331dae36b14ef2520439b040..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Geoid.cpp +++ /dev/null @@ -1,21 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Geoid^ egm96 = gcnew Geoid("egm96-5", "", true, false); - // Convert height above egm96 to height above the ellipsoid - double lat = 42, lon = -75, height_above_geoid = 20; - double - geoid_height = egm96->Height(lat, lon), - height_above_ellipsoid = (height_above_geoid + - (double)Geoid::ConvertFlag::GEOIDTOELLIPSOID * geoid_height); - Console::WriteLine(height_above_ellipsoid); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Georef.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Georef.cpp deleted file mode 100644 index b8f9bdde6da4d685d101f316a0313f5cd8231b26..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Georef.cpp +++ /dev/null @@ -1,34 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland - String^ georef; - for (int prec = -1; prec <= 11; ++prec) { - Georef::Forward(lat, lon, prec, georef); - Console::WriteLine(String::Format("Precision: {0} Georef: {1}", prec, georef)); - } - } - { - // Sample reverse calculation - String^ georef = gcnew String("NKLN2444638946"); - double lat, lon; - int prec; - Georef::Reverse(georef->Substring(0, 2), lat, lon, prec, true); - Console::WriteLine(String::Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)); - Georef::Reverse(georef->Substring(0, 4), lat, lon, prec, true); - Console::WriteLine(String::Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)); - Georef::Reverse(georef, lat, lon, prec, true); - Console::WriteLine(String::Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught Exception {0}", e->Message)); - return 1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Gnomonic.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Gnomonic.cpp deleted file mode 100644 index 56865190eeb50188498eb95d50af262e520450ea..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Gnomonic.cpp +++ /dev/null @@ -1,30 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Geodesic^ geod = gcnew Geodesic(); // WGS84 - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - Gnomonic^ proj = gcnew Gnomonic(geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj->Forward(lat0, lon0, lat, lon, x, y); - Console::WriteLine(String::Format("X: {0} Y: {1}", x, y)); - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj->Reverse(lat0, lon0, x, y, lat, lon); - Console::WriteLine(String::Format("Latitude: {0} Longitude: {1}", lat, lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GravityCircle.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GravityCircle.cpp deleted file mode 100644 index 7f86e9cfabac6a16cf12acced6195df0b5581789..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GravityCircle.cpp +++ /dev/null @@ -1,36 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - GravityModel^ grav = gcnew GravityModel("egm96", ""); - double lat = 27.99, lon0 = 86.93, h = 8820; // Mt Everest - { - // Slow method of evaluating the values at several points on a circle of - // latitude. - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double gx, gy, gz; - grav->Gravity(lat, lon, h, gx, gy, gz); - Console::WriteLine(String::Format("{0} {1} {2} {3}", lon, gx, gy, gz)); - } - } - { - // Fast method of evaluating the values at several points on a circle of - // latitude using GravityCircle. - GravityCircle^ circ = grav->Circle(lat, h, GravityModel::Mask::ALL); - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double gx, gy, gz; - circ->Gravity(lon, gx, gy, gz); - Console::WriteLine(String::Format("{0} {1} {2} {3}", lon, gx, gy, gz)); - } - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GravityModel.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GravityModel.cpp deleted file mode 100644 index 824f248144e34cbcd1657d8cc08651fdeccdf344..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-GravityModel.cpp +++ /dev/null @@ -1,18 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - GravityModel^ grav = gcnew GravityModel("egm96",""); - double lat = 27.99, lon = 86.93, h = 8820; // Mt Everest - double gx, gy, gz; - grav->Gravity(lat, lon, h, gx, gy, gz); - Console::WriteLine(String::Format("{0} {1} {2}", gx, gy, gz)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-LambertConformalConic.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-LambertConformalConic.cpp deleted file mode 100644 index ad3238ec158c5dc8c78cba2d68b37a5f2f25e6d0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-LambertConformalConic.cpp +++ /dev/null @@ -1,44 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - // Define the Pennsylvania South state coordinate system EPSG:3364 - // http://www.spatialreference.org/ref/epsg/3364/ - const double - lat1 = 40 + 58/60.0, lat2 = 39 + 56/60.0, // standard parallels - k1 = 1, // scale - lat0 = 39 + 20/60.0, lon0 =-77 - 45/60.0, // origin - fe = 600000, fn = 0; // false easting and northing - // Set up basic projection - LambertConformalConic^ PASouth = gcnew LambertConformalConic( Constants::WGS84::EquatorialRadius, - Constants::WGS84::Flattening, - lat1, lat2, k1); - double x0, y0; - // Transform origin point - PASouth->Forward(lon0, lat0, lon0, x0, y0); - x0 -= fe; y0 -= fn; - { - // Sample conversion from geodetic to PASouth grid - double lat = 39.95, lon = -75.17; // Philadelphia - double x, y; - PASouth->Forward(lon0, lat, lon, x, y); - x -= x0; y -= y0; - Console::WriteLine( String::Format("{0} {1}", x, y) ); - } - { - // Sample conversion from PASouth grid to geodetic - double x = 820e3, y = 72e3; - double lat, lon; - x += x0; y += y0; - PASouth->Reverse(lon0, x, y, lat, lon); - Console::WriteLine( String::Format("{0} {1}", lat, lon) ); - } - } - catch (GeographicErr^ e) { - Console::WriteLine( String::Format("Caught exception: {0}", e->Message) ); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-LocalCartesian.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-LocalCartesian.cpp deleted file mode 100644 index 317c9774b93338e1e1dc153675e0f6f288f140d5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-LocalCartesian.cpp +++ /dev/null @@ -1,30 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Geocentric^ earth = gcnew Geocentric(); - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - LocalCartesian^ proj = gcnew LocalCartesian(lat0, lon0, 0, earth); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8, h = 0; // Calais - double x, y, z; - proj->Forward(lat, lon, h, x, y, z); - Console::WriteLine(String::Format("{0} {1} {2}", x, y, z)); - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3, z = -4e3; - double lat, lon, h; - proj->Reverse(x, y, z, lat, lon, h); - Console::WriteLine(String::Format("{0} {1} {2}", lat, lon, h)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MGRS.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MGRS.cpp deleted file mode 100644 index 2da001e6e7c3390dd6aa85dfbc89bd47ae04f527..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MGRS.cpp +++ /dev/null @@ -1,36 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - // See also example-GeoCoords.cpp - { - // Sample forward calculation - double lat = 33.3, lon = 44.4; // Baghdad - int zone; - bool northp; - double x, y; - UTMUPS::Forward(lat, lon, zone, northp, x, y, -1, true); - String^ mgrs; - MGRS::Forward(zone, northp, x, y, lat, 5, mgrs); - Console::WriteLine(mgrs); - } - { - // Sample reverse calculation - String^ mgrs = "38SMB4488"; - int zone, prec; - bool northp; - double x, y; - MGRS::Reverse(mgrs, zone, northp, x, y, prec, true); - double lat, lon; - UTMUPS::Reverse(zone, northp, x, y, lat, lon, true); - Console::WriteLine(String::Format("Latitude: {0} Longitude: {1}", lat, lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MagneticCircle.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MagneticCircle.cpp deleted file mode 100644 index fa21e4975809c2c6cc77d1b0b18ac05fa2bb1e99..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MagneticCircle.cpp +++ /dev/null @@ -1,36 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - MagneticModel^ mag = gcnew MagneticModel("wmm2010",""); - double lat = 27.99, lon0 = 86.93, h = 8820, t = 2012; // Mt Everest - { - // Slow method of evaluating the values at several points on a circle of - // latitude. - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double Bx, By, Bz; - mag->Field(t, lat, lon, h, Bx, By, Bz); - Console::WriteLine(String::Format("{0} {1} {2} {3}", lon, Bx, By, Bz)); - } - } - { - // Fast method of evaluating the values at several points on a circle of - // latitude using MagneticCircle. - MagneticCircle^ circ = mag->Circle(t, lat, h); - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double Bx, By, Bz; - circ->Field(lon, Bx, By, Bz); - Console::WriteLine(String::Format("{0} {1} {2} {3}", lon, Bx, By, Bz)); - } - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MagneticModel.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MagneticModel.cpp deleted file mode 100644 index 472807f006f5c43e7bae114331f9c27c010d17bf..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-MagneticModel.cpp +++ /dev/null @@ -1,20 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - MagneticModel^ mag = gcnew MagneticModel("wmm2010",""); - double lat = 27.99, lon = 86.93, h = 8820, t = 2012; // Mt Everest - double Bx, By, Bz; - mag->Field(t, lat,lon, h, Bx, By, Bz); - double H, F, D, I; - MagneticModel::FieldComponents(Bx, By, Bz, H, F, D, I); - Console::WriteLine(String::Format("{0} {1} {2} {3}", H, F, D, I)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-NormalGravity.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-NormalGravity.cpp deleted file mode 100644 index 4905e72f32a9bace30bebcb179ae787a10dee467..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-NormalGravity.cpp +++ /dev/null @@ -1,18 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - NormalGravity^ grav = gcnew NormalGravity(NormalGravity::StandardModels::WGS84); - double lat = 27.99, h = 8820; // Mt Everest - double gammay, gammaz; - grav->Gravity(lat, h, gammay, gammaz); - Console::WriteLine(String::Format("{0} {1}", gammay, gammaz)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-OSGB.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-OSGB.cpp deleted file mode 100644 index e03e722cffa677c390d828acb7af9185cb9c4c2a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-OSGB.cpp +++ /dev/null @@ -1,35 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - { - // Sample forward calculation from - // A guide to coordinate systems in Great Britain - double - lat = DMS::Decode(52,39,27.2531), - lon = DMS::Decode( 1,43, 4.5177); - double x, y; - OSGB::Forward(lat, lon, x, y); - String^ gridref; - OSGB::GridReference(x, y, 2, gridref); - Console::WriteLine(String::Format("{0} {1} {2}", x, y, gridref)); - } - { - // Sample reverse calculation - String^ gridref = "TG5113"; - double x, y; - int prec; - OSGB::GridReference(gridref, x, y, prec, true); - double lat, lon; - OSGB::Reverse(x, y, lat, lon); - Console::WriteLine(String::Format("{0} {1} {2}", prec, lat, lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return 0; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-PolarStereographic.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-PolarStereographic.cpp deleted file mode 100644 index c65623783e5dbb8ea5f4eb3d05068a49d66695b7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-PolarStereographic.cpp +++ /dev/null @@ -1,29 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - PolarStereographic^ proj = gcnew PolarStereographic(); // WGS84 - bool northp = true; - { - // Sample forward calculation - double lat = 61.2, lon = -149.9; // Anchorage - double x, y; - proj->Forward(northp, lat, lon, x, y); - Console::WriteLine(String::Format("{0} {1}", x, y)); - } - { - // Sample reverse calculation - double x = -1637e3, y = 2824e3; - double lat, lon; - proj->Reverse(northp, x, y, lat, lon); - Console::WriteLine(String::Format("{0} {1}", lat, lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-PolygonArea.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-PolygonArea.cpp deleted file mode 100644 index 91a0905c4c28ec78d86d87adce8c200c1c912697..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-PolygonArea.cpp +++ /dev/null @@ -1,22 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - Geodesic^ geod = gcnew Geodesic(); // WGS84 - PolygonArea^ poly = gcnew PolygonArea(geod, true); - poly->AddPoint( 52, 0); // London - poly->AddPoint( 41,-74); // New York - poly->AddPoint(-23,-43); // Rio de Janeiro - poly->AddPoint(-26, 28); // Johannesburg - double perimeter, area; - unsigned int n = poly->Compute(false, true, perimeter, area); - Console::WriteLine(String::Format("{0} {1} {2}", n, perimeter, area)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Rhumb.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Rhumb.cpp deleted file mode 100644 index a38fed8f1a5aa0d0809efa2d10adbb1d4f5b78b3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-Rhumb.cpp +++ /dev/null @@ -1,32 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/ -) -{ - try { - Rhumb^ rhumb = gcnew Rhumb(Constants::WGS84::EquatorialRadius, Constants::WGS84::Flattening, true); - // Alternatively: const Rhumb& rhumb = Rhumb::WGS84(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi12 = 51; - double lat2, lon2; - rhumb->Direct(lat1, lon1, azi12, s12, lat2, lon2); - Console::WriteLine( "{0} {1}", lat2, lon2 ); - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12, azi12; - rhumb->Inverse(lat1, lon1, lat2, lon2, s12, azi12); - Console::WriteLine( "{0} {1}", s12, azi12 ); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-RhumbLine.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-RhumbLine.cpp deleted file mode 100644 index 3b71974dd617cdb5b8cf200fbb8616f33364f0b2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-RhumbLine.cpp +++ /dev/null @@ -1,35 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - // Print waypoints between JFK and SIN - Rhumb^ rhumb = gcnew Rhumb(Constants::WGS84::EquatorialRadius, Constants::WGS84::Flattening, true); - // Alternatively: const Rhumb& rhumb = Rhumb::WGS84(); - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - double s12, azi12; - rhumb->Inverse(lat1, lon1, lat2, lon2, s12, azi12); - RhumbLine^ line = rhumb->Line(lat1, lon1, azi12); - // Alternatively - // const GeographicLib::RhumbLine line = rhumb.Line(lat1, lon1, azi1); - double ds0 = 500e3; // Nominal distance between points = 500 km - int num = int(Math::Ceiling(s12 / ds0)); // The number of intervals - { - // Use intervals of equal length - double ds = s12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line->Position(i * ds, lat, lon); - Console::WriteLine( "{0} {1} {2}", i, lat, lon ); - } - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic.cpp deleted file mode 100644 index bd30046e3c5c8dc4c2351f76402a74727c641f21..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic.cpp +++ /dev/null @@ -1,22 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - int N = 3; // The maximum degree - array^ ca = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - array^ sa = {6, 5, 4, 3, 2, 1}; // sine coefficients - double a = 1; - SphericalHarmonic^ h = gcnew SphericalHarmonic(ca, sa, N, a, SphericalHarmonic::Normalization::SCHMIDT); - double x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h->HarmonicSum(x, y, z, vx, vy, vz); - Console::WriteLine(String::Format("{0} {1} {2} {3}", v, vx, vy, vz)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic1.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic1.cpp deleted file mode 100644 index dbbd03ac7df9ecc47d7a6649fcb93be654f11092..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic1.cpp +++ /dev/null @@ -1,24 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - int N = 3, N1 = 2; // The maximum degrees - array^ ca = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - array^ sa = {6, 5, 4, 3, 2, 1}; // sine coefficients - array^ cb = {1, 2, 3, 4, 5, 6}; - array^ sb = {3, 2, 1}; - double a = 1; - SphericalHarmonic1^ h = gcnew SphericalHarmonic1(ca, sa, N, cb, sb, N1, a, SphericalHarmonic1::Normalization::SCHMIDT); - double tau = 0.1, x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h->HarmonicSum(tau, x, y, z, vx, vy, vz); - Console::WriteLine(String::Format("{0} {1} {2} {3}", v, vx, vy, vz)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic2.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic2.cpp deleted file mode 100644 index 9edd98071f381b19b8fd41bdba9b69f889d5edac..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-SphericalHarmonic2.cpp +++ /dev/null @@ -1,30 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try - { - int N = 3, N1 = 2, N2 = 1; // The maximum degrees - array^ ca = { 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 }; // cosine coefficients - array^ sa = { 6, 5, 4, 3, 2, 1 }; // sine coefficients - array^ cb = { 1, 2, 3, 4, 5, 6 }; - array^ sb = { 3, 2, 1 }; - array^ cc = { 2, 1 }; - array^ S2 = { 0 }; - double a = 1; - SphericalHarmonic2^ h = gcnew SphericalHarmonic2( - ca, sa, N, N, N, cb, sb, N1, N1, N1, - cc, S2, N2, N2, 0, a, - SphericalHarmonic2::Normalization::SCHMIDT); - double tau1 = 0.1, tau2 = 0.05, x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h->HarmonicSum(tau1, tau2, x, y, z, vx, vy, vz); - Console::WriteLine(String::Format("{0} {1} {2} {3}", v, vx, vy, vz)); - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-TransverseMercator.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-TransverseMercator.cpp deleted file mode 100644 index f960a84f47542fb214956ddb0e1d30b092daf840..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-TransverseMercator.cpp +++ /dev/null @@ -1,29 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - TransverseMercator^ proj = gcnew TransverseMercator(); // WGS84 - double lon0 = -75; // Central meridian for UTM zone 18 - { - // Sample forward calculation - double lat = 40.3, lon = -74.7; // Princeton, NJ - double x, y; - proj->Forward(lon0, lat, lon, x, y); - Console::WriteLine(String::Format("{0} {1}", x, y)); - } - { - // Sample reverse calculation - double x = 25e3, y = 4461e3; - double lat, lon; - proj->Reverse(lon0, x, y, lat, lon); - Console::WriteLine(String::Format("{0} {1}", lat, lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-TransverseMercatorExact.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-TransverseMercatorExact.cpp deleted file mode 100644 index 45d1fc176463d37d1a35249da0ae5cf965d02147..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-TransverseMercatorExact.cpp +++ /dev/null @@ -1,29 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - TransverseMercatorExact^ proj = gcnew TransverseMercatorExact(); // WGS84 - double lon0 = -75; // Central meridian for UTM zone 18 - { - // Sample forward calculation - double lat = 40.3, lon = -74.7; // Princeton, NJ - double x, y; - proj->Forward(lon0, lat, lon, x, y); - Console::WriteLine(String::Format("{0} {1}", x, y)); - } - { - // Sample reverse calculation - double x = 25e3, y = 4461e3; - double lat, lon; - proj->Reverse(lon0, x, y, lat, lon); - Console::WriteLine(String::Format("{0} {1}", lat, lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-UTMUPS.cpp b/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-UTMUPS.cpp deleted file mode 100644 index 87063c15b58de9613e118e8707d2210d0d53b06f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/ManagedCPP/example-UTMUPS.cpp +++ /dev/null @@ -1,35 +0,0 @@ -using namespace System; -using namespace NETGeographicLib; - -int main(array ^/*args*/) -{ - try { - // See also example-GeoCoords.cpp - { - // Sample forward calculation - double lat = 33.3, lon = 44.4; // Baghdad - int zone; - bool northp; - double x, y; - UTMUPS::Forward(lat, lon, zone, northp, x, y, -1, true); - String^ zonestr = UTMUPS::EncodeZone(zone, northp, true); - Console::WriteLine(String::Format("{0} {1} {2}", zonestr, x, y)); - } - { - // Sample reverse calculation - String^ zonestr = "38N"; - int zone; - bool northp; - UTMUPS::DecodeZone(zonestr, zone, northp); - double x = 444e3, y = 3688e3; - double lat, lon; - UTMUPS::Reverse(zone, northp, x, y, lat, lon, true); - Console::WriteLine(String::Format("{0} {1}", lat,lon)); - } - } - catch (GeographicErr^ e) { - Console::WriteLine(String::Format("Caught exception: {0}", e->Message)); - return -1; - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Accumulator.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Accumulator.vb deleted file mode 100644 index da4987846a20b8abc7c770254edd6ac0de10c7cb..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Accumulator.vb +++ /dev/null @@ -1,18 +0,0 @@ -Imports NETGeographicLib - -Module example_Accumulator - Public Sub Main() - Try - ' Compare using Accumulator and ordinary summation for a sum of large and - ' small terms. - Dim sum As Double = 0.0 - Dim acc As Accumulator = New Accumulator() - acc.Assign(0.0) - sum += 1.0E+20 : sum += 1 : sum += 2 : sum += 100 : sum += 5000 - sum += -1.0E+20 : acc.Sum(1.0E+20) : acc.Sum(1) : acc.Sum(2) : acc.Sum(100) : acc.Sum(5000) : acc.Sum(-1.0E+20) - Console.WriteLine(String.Format("{0} {1}", sum, acc.Result())) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-AlbersEqualArea.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-AlbersEqualArea.vb deleted file mode 100644 index d2d70bc2cd01c94c0f69ba69f17a85f3c050e01d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-AlbersEqualArea.vb +++ /dev/null @@ -1,26 +0,0 @@ -Imports NETGeographicLib - -Module example_AlbersEqualArea - Sub Main() - Try - Dim lat1 As Double = 40 + 58 / 60.0 : Dim lat2 As Double = 39 + 56 / 60.0 ' standard parallels - Dim k1 As Double = 1 ' scale - Dim lon0 As Double = -77 - 45 / 60.0 ' Central meridian - ' Set up basic projection - Dim albers As AlbersEqualArea = New AlbersEqualArea(Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening, - lat1, lat2, k1) - ' Sample conversion from geodetic to Albers Equal Area - Dim lat As Double = 39.95 : Dim lon As Double = -75.17 ' Philadelphia - Dim x, y As Double - albers.Forward(lon0, lat, lon, x, y) - Console.WriteLine(String.Format("X: {0} Y: {1}", x, y)) - ' Sample conversion from Albers Equal Area grid to geodetic - x = 220000.0 : y = -53000.0 - albers.Reverse(lon0, x, y, lat, lon) - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-AzimuthalEquidistant.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-AzimuthalEquidistant.vb deleted file mode 100644 index 7d671befd24e46ca181fc80449c619bd0c3806f0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-AzimuthalEquidistant.vb +++ /dev/null @@ -1,22 +0,0 @@ -Imports NETGeographicLib - -Module example_AzimuthalEquidistant - Sub Main() - Try - Dim geod As Geodesic = New Geodesic() ' WGS84 - Dim lat0 As Double = 48 + 50 / 60.0, lon0 = 2 + 20 / 60.0 ' Paris - Dim proj As AzimuthalEquidistant = New AzimuthalEquidistant(geod) - ' Sample forward calculation - Dim lat As Double = 50.9, lon = 1.8 ' Calais - Dim x, y As Double - proj.Forward(lat0, lon0, lat, lon, x, y) - Console.WriteLine(String.Format("X: {0} Y: {1}", x, y)) - ' Sample reverse calculation - x = -38000.0 : y = 230000.0 - proj.Reverse(lat0, lon0, x, y, lat, lon) - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-CassiniSoldner.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-CassiniSoldner.vb deleted file mode 100644 index 7be3061eab30168b2296f393da5db0495d1e7557..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-CassiniSoldner.vb +++ /dev/null @@ -1,22 +0,0 @@ -Imports NETGeographicLib - -Module example_CassiniSoldner - Sub Main() - Try - Dim geod As Geodesic = New Geodesic() ' WGS84 - Dim lat0 As Double = 48 + 50 / 60.0, lon0 = 2 + 20 / 60.0 ' Paris - Dim proj As CassiniSoldner = New CassiniSoldner(lat0, lon0, geod) - ' Sample forward calculation - Dim lat As Double = 50.9, lon = 1.8 ' Calais - Dim x, y As Double - proj.Forward(lat, lon, x, y) - Console.WriteLine(String.Format("X: {0} Y: {1}", x, y)) - ' Sample reverse calculation - x = -38000.0 : y = 230000.0 - proj.Reverse(x, y, lat, lon) - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-CircularEngine.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-CircularEngine.vb deleted file mode 100644 index bb0b3c31cf65cf9c442b44b9388103ca6cc8b620..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-CircularEngine.vb +++ /dev/null @@ -1,23 +0,0 @@ -Imports NETGeographicLib - -Module example_CircularEngine - Sub Main() - ' This computes the same value as example-SphericalHarmonic.cpp using a - ' CircularEngine (which will be faster if many values on a circle of - ' latitude are to be found). - Try - Dim N As Integer = 3 ' The maxium degree - Dim ca As Double() = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1} ' cosine coefficients - Dim sa As Double() = {6, 5, 4, 3, 2, 1} ' sine coefficients - Dim a As Double = 1 - Dim h As SphericalHarmonic = New SphericalHarmonic(ca, sa, N, a, SphericalHarmonic.Normalization.SCHMIDT) - Dim x As Double = 2, y = 3, z = 1, p = Math.Sqrt(x * x + y * y) - Dim circ As CircularEngine = h.Circle(p, z, True) - Dim v, vx, vy, vz As Double - v = circ.LongitudeSum(x / p, y / p, vx, vy, vz) - Console.WriteLine(String.Format("{0} {1} {2} {3}", v, vx, vy, vz)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-DMS.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-DMS.vb deleted file mode 100644 index 69f4390a177ed481f506643368aa4519f71d9a36..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-DMS.vb +++ /dev/null @@ -1,18 +0,0 @@ -Imports NETGeographicLib - -Module example_DMS - Sub Main() - Try - Dim desc As String = "30d14'45.6""S" - Dim type As DMS.Flag - Dim ang As Double = DMS.Decode(desc, type) - Console.WriteLine(String.Format("Type: {0} String: {1}", type, ang)) - ang = -30.245715 - Dim prec As UInteger = 6 - desc = DMS.Encode(ang, prec, DMS.Flag.LATITUDE, 0) - Console.WriteLine(String.Format("Latitude: {0}", desc)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Ellipsoid.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Ellipsoid.vb deleted file mode 100644 index 8b7ccff1bf148677be7efef3dd4fe2ba0297d934..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Ellipsoid.vb +++ /dev/null @@ -1,22 +0,0 @@ -Imports NETGeographicLib - -Module example_Ellipsoid - Sub Main() - Try - Dim wgs84 As Ellipsoid = New Ellipsoid(Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening) - ' Alternatively: Dim wgs84 As Ellipsoid = new Ellipsoid() - Console.WriteLine(String.Format( - "The latitude half way between the equator and the pole is {0}", - wgs84.InverseRectifyingLatitude(45))) - Console.WriteLine(String.Format( - "Half the area of the ellipsoid lies between latitudes +/- {0}", - wgs84.InverseAuthalicLatitude(30))) - Console.WriteLine(String.Format( - "The northernmost edge of a square Mercator map is at latitude {0}", - wgs84.InverseIsometricLatitude(180))) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-EllipticFunction.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-EllipticFunction.vb deleted file mode 100644 index 40e9509c0815a65aa07b930d2d4b9ccc27772c80..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-EllipticFunction.vb +++ /dev/null @@ -1,32 +0,0 @@ -Imports NETGeographicLib - -Module example_EllipticFunction - Sub Main() - Try - Dim ell As EllipticFunction = New EllipticFunction(0.1, 1.0) - ' See Abramowitz and Stegun, table 17.1 - Console.WriteLine(String.Format("{0} {1}", ell.K(), ell.E())) - Dim phi As Double = 20 * Math.Acos(-1.0) / 180.0 - ' See Abramowitz and Stegun, table 17.6 with - ' alpha = asin(sqrt(m)) = 18.43 deg and phi = 20 deg - Console.WriteLine(String.Format("{0} {1}", ell.E(phi), - ell.E(Math.Sin(phi), Math.Cos(phi), - Math.Sqrt(1 - ell.k2 * Math.Sin(phi) * Math.Sin(phi))))) - ' See Carlson 1995, Sec 3. - Console.WriteLine(String.Format("RF(1,2,0) = {0}", EllipticFunction.RF(1, 2))) - Console.WriteLine(String.Format("RF(2,3,4) = {0}", EllipticFunction.RF(2, 3, 4))) - Console.WriteLine(String.Format("RC(0,1/4) = {0}", EllipticFunction.RC(0, 0.25))) - Console.WriteLine(String.Format("RC(9/4,2) = {0}", EllipticFunction.RC(2.25, 2))) - Console.WriteLine(String.Format("RC(1/4,-2) = {0}", EllipticFunction.RC(0.25, -2))) - Console.WriteLine(String.Format("RJ(0,1,2,3) = {0}", EllipticFunction.RJ(0, 1, 2, 3))) - Console.WriteLine(String.Format("RJ(2,3,4,5) = {0}", EllipticFunction.RJ(2, 3, 4, 5))) - Console.WriteLine(String.Format("RD(0,2,1) = {0}", EllipticFunction.RD(0, 2, 1))) - Console.WriteLine(String.Format("RD(2,3,4) = {0}", EllipticFunction.RD(2, 3, 4))) - Console.WriteLine(String.Format("RG(0,16,16) = {0}", EllipticFunction.RG(16, 16))) - Console.WriteLine(String.Format("RG(2,3,4) = {0}", EllipticFunction.RG(2, 3, 4))) - Console.WriteLine(String.Format("RG(0,0.0796,4) = {0}", EllipticFunction.RG(0.0796, 4))) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GARS.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GARS.vb deleted file mode 100644 index 6bebcd079a97ae9a0335dc29539e146781a7533f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GARS.vb +++ /dev/null @@ -1,23 +0,0 @@ -Imports NETGeographicLib -Module example_GARS - Sub Main() - Try - ' Sample forward calculation - Dim lat As Double = 57.64911, lon = 10.40744 - Dim garstring As String - For prec As Integer = 0 To 2 - GARS.Forward(lat, lon, prec, garstring) - Console.WriteLine(String.Format("Precision: {0} GARS: {1}", prec, garstring)) - Next - ' Sample reverse calculation - garstring = "381NH45" - For len As Integer = 5 To garstring.Length - Dim prec As Integer - GARS.Reverse(garstring.Substring(0, len), lat, lon, prec, True) - Console.WriteLine(String.Format("Precision: {0} Latitude: {1} Longitude {2}", prec, lat, lon)) - Next - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught Exception {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeoCoords.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeoCoords.vb deleted file mode 100644 index 720a5dcf6f0c2b2c43efbdf0e8abdf4165f15e29..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeoCoords.vb +++ /dev/null @@ -1,19 +0,0 @@ -Imports NETGeographicLib - -Module example_GeoCoords - Sub Main() - Try - ' Miscellaneous conversions - Dim lat As Double = 33.3, lon = 44.4 - Dim c As GeoCoords = New GeoCoords(lat, lon, -1) - Console.WriteLine(c.MGRSRepresentation(-3)) - c.Reset("18TWN0050", True, False) - Console.WriteLine(c.DMSRepresentation(0, False, 0)) - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", c.Latitude, c.Longitude)) - c.Reset("1d38'W 55d30'N", True, False) - Console.WriteLine(c.GeoRepresentation(0, False)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geocentric.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geocentric.vb deleted file mode 100644 index 8fa99804bb9a43506a518977ed4473bfc80d03ff..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geocentric.vb +++ /dev/null @@ -1,25 +0,0 @@ -Imports NETGeographicLib - -Module example_Geocentric - Sub Main() - Try - Dim earth As Geocentric = New Geocentric(Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening) - ' Alternatively: Geocentric earth = new Geocentric(); - ' Sample forward calculation - Dim lat As Double = 27.99, lon = 86.93, h = 8820 ' Mt Everest - Dim X, Y, Z As Double - earth.Forward(lat, lon, h, X, Y, Z) - Console.WriteLine(String.Format("{0} {1} {2}", - Math.Floor(X / 1000 + 0.5), - Math.Floor(Y / 1000 + 0.5), - Math.Floor(Z / 1000 + 0.5))) - ' Sample reverse calculation - X = 302000.0 : Y = 5636000.0 : Z = 2980000.0 - earth.Reverse(X, Y, Z, lat, lon, h) - Console.WriteLine(String.Format("{0} {1} {2}", lat, lon, h)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geodesic.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geodesic.vb deleted file mode 100644 index a476c2295939e03553ac1bb63bb699789b3505be..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geodesic.vb +++ /dev/null @@ -1,23 +0,0 @@ -Imports NETGeographicLib - -Module example_Geodesic - Sub Main() - Try - Dim geod As Geodesic = New Geodesic(Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening) - ' Alternatively: Dim geod As Geodesic = new Geodesic() - ' Sample direct calculation, travelling about NE from JFK - Dim lat1 As Double = 40.6, lon1 = -73.8, s12 = 5500000.0, azi1 = 51 - Dim lat2, lon2 As Double - geod.Direct(lat1, lon1, azi1, s12, lat2, lon2) - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat2, lon2)) - ' Sample inverse calculation, JFK to LHR - lat1 = 40.6 : lon1 = -73.8 ' JFK Airport - lat2 = 51.6 : lon2 = -0.5 ' LHR Airport - geod.Inverse(lat1, lon1, lat2, lon2, s12) - Console.WriteLine(s12) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicExact.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicExact.vb deleted file mode 100644 index 64fb1d9a4fe9f61cea28adc1e17b9a69c9fc88d7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicExact.vb +++ /dev/null @@ -1,23 +0,0 @@ -Imports NETGeographicLib - -Module example_GeodesicExact - Sub Main() - Try - Dim geod As GeodesicExact = New GeodesicExact(Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening) - ' Alternatively: Dim geod As GeodesicExact = new GeodesicExact() - ' Sample direct calculation, travelling about NE from JFK - Dim lat1 As Double = 40.6, lon1 = -73.8, s12 = 5500000.0, azi1 = 51 - Dim lat2, lon2 As Double - geod.Direct(lat1, lon1, azi1, s12, lat2, lon2) - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat2, lon2)) - ' Sample inverse calculation, JFK to LHR - lat1 = 40.6 : lon1 = -73.8 ' JFK Airport - lat2 = 51.6 : lon2 = -0.5 ' LHR Airport - geod.Inverse(lat1, lon1, lat2, lon2, s12) - Console.WriteLine(s12) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicLine.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicLine.vb deleted file mode 100644 index a5c36c4824cd4a2b16ff8d220b6f3dc763fe7031..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicLine.vb +++ /dev/null @@ -1,34 +0,0 @@ -Imports NETGeographicLib - -Module example_GeodesicLine - Sub Main() - Try - ' Print waypoints between JFK and SIN - Dim geod As Geodesic = New Geodesic() ' WGS84 - Dim lat1 As Double = 40.64, lon1 = -73.779 ' JFK - Dim lat2 As Double = 1.359, lon2 = 103.989 ' SIN - Dim s12, azi1, azi2 As Double - Dim a12 As Double = geod.Inverse(lat1, lon1, lat2, lon2, s12, azi1, azi2) - Dim line As GeodesicLine = New GeodesicLine(geod, lat1, lon1, azi1, Mask.ALL) - ' Alternatively Dim line As GeodesicLineExact = geod.Line(lat1, lon1, azi1, Mask.ALL) - Dim ds As Double = 500000.0 ' Nominal distance between points = 500 km - Dim num As Integer = CInt(Math.Ceiling(s12 / ds)) ' The number of intervals - ' Use intervals of equal length - ds = s12 / num - For i As Integer = 0 To num - Dim lat, lon As Double - line.Position(i * ds, lat, lon) - Console.WriteLine(String.Format("i: {0} Latitude: {1} Longitude: {2}", i, lat, lon)) - Next - ' Slightly faster, use intervals of equal arc length - Dim da As Double = a12 / num - For i As Integer = 0 To num - Dim lat, lon As Double - line.ArcPosition(i * da, lat, lon) - Console.WriteLine(String.Format("i: {0} Latitude: {1} Longitude: {2}", i, lat, lon)) - Next - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicLineExact.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicLineExact.vb deleted file mode 100644 index a07abe76cbcf5abcf0844d67d9d499b9b8e4045a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GeodesicLineExact.vb +++ /dev/null @@ -1,34 +0,0 @@ -Imports NETGeographicLib - -Module example_GeodesicLineExact - Sub Main() - Try - ' Print waypoints between JFK and SIN - Dim geod As GeodesicExact = New GeodesicExact() ' WGS84 - Dim lat1 As Double = 40.64, lon1 = -73.779 ' JFK - Dim lat2 As Double = 1.359, lon2 = 103.989 ' SIN - Dim s12, azi1, azi2 As Double - Dim a12 As Double = geod.Inverse(lat1, lon1, lat2, lon2, s12, azi1, azi2) - Dim line As GeodesicLineExact = New GeodesicLineExact(geod, lat1, lon1, azi1, Mask.ALL) - ' Alternatively Dim line As GeodesicLineExact = geod.Line(lat1, lon1, azi1, Mask.ALL) - Dim ds As Double = 500000.0 ' Nominal distance between points = 500 km - Dim num As Integer = CInt(Math.Ceiling(s12 / ds)) ' The number of intervals - ' Use intervals of equal length - ds = s12 / num - For i As Integer = 0 To num - Dim lat, lon As Double - line.Position(i * ds, lat, lon) - Console.WriteLine(String.Format("i: {0} Latitude: {1} Longitude: {2}", i, lat, lon)) - Next - ' Slightly faster, use intervals of equal arc length - Dim da As Double = a12 / num - For i As Integer = 0 To num - Dim lat, lon As Double - line.ArcPosition(i * da, lat, lon) - Console.WriteLine(String.Format("i: {0} Latitude: {1} Longitude: {2}", i, lat, lon)) - Next - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geohash.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geohash.vb deleted file mode 100644 index 251800b308d3ad45c843b8c5d14337fb07a8978d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geohash.vb +++ /dev/null @@ -1,25 +0,0 @@ -Imports NETGeographicLib - -Module example_Geohash - Sub Main() - Try - ' Sample forward calculation - Dim lat As Double = 57.64911, lon = 10.40744 ' Jutland (the wikipedia example) - Dim ghash As String - Dim maxlen As Integer = Geohash.GeohashLength(0.00001) - For len As Integer = 0 To maxlen - Geohash.Forward(lat, lon, len, ghash) - Console.WriteLine(ghash) - Next - ' Sample reverse calculation - ghash = "u4pruydqqvj" - For i As Integer = 0 To ghash.Length - 1 - Dim len As Integer - Geohash.Reverse(ghash.Substring(0, i), lat, lon, len, True) - Console.WriteLine(String.Format("Length: {0} Latitude: {1} Longitude: {2}", len, lat, lon)) - Next - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geoid.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geoid.vb deleted file mode 100644 index 127770e4bb3632dbf566b34be3a91e9679d821b6..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Geoid.vb +++ /dev/null @@ -1,17 +0,0 @@ -Imports NETGeographicLib - -Module example_Geoid - Sub Main() - Try - Dim egm96 As Geoid = New Geoid("egm96-5", "", True, False) - ' Convert height above egm96 to height above the ellipsoid - Dim lat As Double = 42, lon = -75, height_above_geoid = 20 - Dim geoid_height As Double = egm96.Height(lat, lon) - Dim height_above_ellipsoid As Double = (height_above_geoid + - CDbl(Geoid.ConvertFlag.GEOIDTOELLIPSOID) * geoid_height) - Console.WriteLine(height_above_ellipsoid) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Georef.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Georef.vb deleted file mode 100644 index e984c4a1d9b2f37ba05bdb661d8968cc4389d115..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Georef.vb +++ /dev/null @@ -1,25 +0,0 @@ -Imports NETGeographicLib -Module example_Georef - Sub Main() - Try - ' Sample forward calculation - Dim lat As Double = 57.64911, lon = 10.40744 ' Jutland - Dim georefstring As String - For prec1 As Integer = -1 To 11 - Georef.Forward(lat, lon, prec1, georefstring) - Console.WriteLine(String.Format("Precision: {0} Georef: {1}", prec1, georefstring)) - Next - ' Sample reverse calculation - georefstring = "NKLN2444638946" - Dim prec As Integer - Georef.Reverse(georefstring.Substring(0, 2), lat, lon, prec, True) - Console.WriteLine(String.Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)) - Georef.Reverse(georefstring.Substring(0, 4), lat, lon, prec, True) - Console.WriteLine(String.Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)) - Georef.Reverse(georefstring, lat, lon, prec, True) - Console.WriteLine(String.Format("Precision: {0} Latitude: {1} Longitude: {2}", prec, lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught Exception {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Gnomonic.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Gnomonic.vb deleted file mode 100644 index ccfe0404ee1b02bb629f73d995bfbbb23a75cd1d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Gnomonic.vb +++ /dev/null @@ -1,22 +0,0 @@ -Imports NETGeographicLib - -Module example_Gnomonic - Sub Main() - Try - Dim geod As Geodesic = New Geodesic() ' WGS84 - Dim lat0 As Double = 48 + 50 / 60.0, lon0 = 2 + 20 / 60.0 ' Paris - Dim proj As Gnomonic = New Gnomonic(geod) - ' Sample forward calculation - Dim lat As Double = 50.9, lon = 1.8 ' Calais - Dim x, y As Double - proj.Forward(lat0, lon0, lat, lon, x, y) - Console.WriteLine(String.Format("X: {0} Y: {1}", x, y)) - ' Sample reverse calculation - x = -38000.0 : y = 230000.0 - proj.Reverse(lat0, lon0, x, y, lat, lon) - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GravityCircle.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GravityCircle.vb deleted file mode 100644 index fd4bb3daca9049b41356b6c314dbe60a1d3c6b53..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GravityCircle.vb +++ /dev/null @@ -1,29 +0,0 @@ -Imports NETGeographicLib - -Module example_GravityCircle - Sub Main() - Try - Dim grav As GravityModel = New GravityModel("egm96", "") - Dim lat As Double = 27.99, lon0 = 86.93, h = 8820 ' Mt Everest - ' Slow method of evaluating the values at several points on a circle of - ' latitude. - For i As Integer = -5 To 5 - Dim lon As Double = lon0 + i * 0.2 - Dim gx, gy, gz As Double - grav.Gravity(lat, lon, h, gx, gy, gz) - Console.WriteLine(String.Format("{0} {1} {2} {3}", lon, gx, gy, gz)) - Next - ' Fast method of evaluating the values at several points on a circle of - ' latitude using GravityCircle. - Dim circ As GravityCircle = grav.Circle(lat, h, GravityModel.Mask.ALL) - For i As Integer = -5 To 5 - Dim lon As Double = lon0 + i * 0.2 - Dim gx, gy, gz As Double - circ.Gravity(lon, gx, gy, gz) - Console.WriteLine(String.Format("{0} {1} {2} {3}", lon, gx, gy, gz)) - Next - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GravityModel.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GravityModel.vb deleted file mode 100644 index 5e9aeed093c805177034005df7a4581cc3fa2db0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-GravityModel.vb +++ /dev/null @@ -1,15 +0,0 @@ -Imports NETGeographicLib - -Module example_GravityModel - Sub Main() - Try - Dim grav As GravityModel = New GravityModel("egm96", "") - Dim lat As Double = 27.99, lon = 86.93, h = 8820 ' Mt Everest - Dim gx, gy, gz As Double - grav.Gravity(lat, lon, h, gx, gy, gz) - Console.WriteLine(String.Format("{0} {1} {2}", gx, gy, gz)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-LambertConformalConic.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-LambertConformalConic.vb deleted file mode 100644 index e37ba1f826c77fb90f442726060d382fb54871a7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-LambertConformalConic.vb +++ /dev/null @@ -1,35 +0,0 @@ -Imports NETGeographicLib - -Module example_LambertConformalConic - Sub Main() - Try - ' Define the Pennsylvania South state coordinate system EPSG:3364 - ' http://www.spatialreference.org/ref/epsg/3364/ - Dim lat1 As Double = 40 + 58 / 60.0, lat2 = 39 + 56 / 60.0 ' standard parallels - Dim k1 As Double = 1 ' scale - Dim lat0 As Double = 39 + 20 / 60.0, lon0 = -77 - 45 / 60.0 ' origin - Dim fe As Double = 600000, fn = 0 ' false easting and northing - ' Set up basic projection - Dim PASouth As LambertConformalConic = New LambertConformalConic(Constants.WGS84.EquatorialRadius, - Constants.WGS84.Flattening, - lat1, lat2, k1) - Dim x0, y0 As Double - ' Transform origin point - PASouth.Forward(lon0, lat0, lon0, x0, y0) - x0 -= fe : y0 -= fn - ' Sample conversion from geodetic to PASouth grid - Dim lat As Double = 39.95, lon = -75.17 ' Philadelphia - Dim x, y As Double - PASouth.Forward(lon0, lat, lon, x, y) - x -= x0 : y -= y0 - Console.WriteLine(String.Format("{0} {1}", x, y)) - ' Sample conversion from PASouth grid to geodetic - x = 820000.0 : y = 72000.0 - x += x0 : y += y0 - PASouth.Reverse(lon0, x, y, lat, lon) - Console.WriteLine(String.Format("{0} {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-LocalCartesian.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-LocalCartesian.vb deleted file mode 100644 index 6a9e3e98cb52414541bda378189b0d264fde9bd9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-LocalCartesian.vb +++ /dev/null @@ -1,22 +0,0 @@ -Imports NETGeographicLib - -Module example_LocalCartesian - Sub Main() - Try - Dim earth As Geocentric = New Geocentric() - Dim lat0 As Double = 48 + 50 / 60.0, lon0 = 2 + 20 / 60.0 ' Paris - Dim proj As LocalCartesian = New LocalCartesian(lat0, lon0, 0, earth) - ' Sample forward calculation - Dim lat As Double = 50.9, lon = 1.8, h = 0 ' Calais - Dim x, y, z As Double - proj.Forward(lat, lon, h, x, y, z) - Console.WriteLine(String.Format("{0} {1} {2}", x, y, z)) - ' Sample reverse calculation - x = -38000.0 : y = 230000.0 : z = -4000.0 - proj.Reverse(x, y, z, lat, lon, h) - Console.WriteLine(String.Format("{0} {1} {2}", lat, lon, h)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MGRS.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MGRS.vb deleted file mode 100644 index 119e6754c905b741f9edb5485332c691446f5b7c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MGRS.vb +++ /dev/null @@ -1,26 +0,0 @@ -Imports NETGeographicLib - -Module example_MGRS - Sub Main() - Try - ' See also example-GeoCoords.cpp - ' Sample forward calculation - Dim lat As Double = 33.3, lon = 44.4 ' Baghdad - Dim zone As Integer - Dim northp As Boolean - Dim x, y As Double - UTMUPS.Forward(lat, lon, zone, northp, x, y, -1, True) - Dim mgrsStr As String - MGRS.Forward(zone, northp, x, y, lat, 5, mgrsStr) - Console.WriteLine(mgrsStr) - ' Sample reverse calculation - mgrsStr = "38SMB4488" - Dim prec As Integer - MGRS.Reverse(mgrsStr, zone, northp, x, y, prec, True) - UTMUPS.Reverse(zone, northp, x, y, lat, lon, True) - Console.WriteLine(String.Format("Latitude: {0} Longitude: {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MagneticCircle.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MagneticCircle.vb deleted file mode 100644 index c4b96cbf64354ecde46a00e90e9642b14d3a597b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MagneticCircle.vb +++ /dev/null @@ -1,29 +0,0 @@ -Imports NETGeographicLib - -Module example_MagneticCircle - Sub Main() - Try - Dim mag As MagneticModel = New MagneticModel("wmm2010", "") - Dim lat As Double = 27.99, lon0 = 86.93, h = 8820, t = 2012 ' Mt Everest - ' Slow method of evaluating the values at several points on a circle of - ' latitude. - For i As Integer = -5 To 5 - Dim lon As Double = lon0 + i * 0.2 - Dim Bx, By, Bz As Double - mag.Field(t, lat, lon, h, Bx, By, Bz) - Console.WriteLine(String.Format("{0} {1} {2} {3}", lon, Bx, By, Bz)) - Next - ' Fast method of evaluating the values at several points on a circle of - ' latitude using MagneticCircle. - Dim circ As MagneticCircle = mag.Circle(t, lat, h) - For i As Integer = -5 To 5 - Dim lon As Double = lon0 + i * 0.2 - Dim Bx, By, Bz As Double - circ.Field(lon, Bx, By, Bz) - Console.WriteLine(String.Format("{0} {1} {2} {3}", lon, Bx, By, Bz)) - Next - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MagneticModel.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MagneticModel.vb deleted file mode 100644 index 63f831d7643a0a0c4f99aab2eff3a08935e42a59..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-MagneticModel.vb +++ /dev/null @@ -1,17 +0,0 @@ -Imports NETGeographicLib - -Module example_MagneticModel - Sub Main() - Try - Dim mag As MagneticModel = New MagneticModel("wmm2010", "") - Dim lat As Double = 27.99, lon = 86.93, h = 8820, t = 2012 ' Mt Everest - Dim Bx, By, Bz As Double - mag.Field(t, lat, lon, H, Bx, By, Bz) - Dim bigH, F, D, I As Double - MagneticModel.FieldComponents(Bx, By, Bz, bigH, F, D, I) - Console.WriteLine(String.Format("{0} {1} {2} {3}", bigH, F, D, I)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-NormalGravity.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-NormalGravity.vb deleted file mode 100644 index 47571bc86bf2976cfb076c4599de1714b4c6d51d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-NormalGravity.vb +++ /dev/null @@ -1,15 +0,0 @@ -Imports NETGeographicLib - -Module example_NormalGravity - Sub Main() - Try - Dim grav As NormalGravity = New NormalGravity(NormalGravity.StandardModels.WGS84) - Dim lat As Double = 27.99, h = 8820 ' Mt Everest - Dim gammay, gammaz As Double - grav.Gravity(lat, h, gammay, gammaz) - Console.WriteLine(String.Format("{0} {1}", gammay, gammaz)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-OSGB.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-OSGB.vb deleted file mode 100644 index 9192cab53344dc2602b035773c5dd5f715daa662..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-OSGB.vb +++ /dev/null @@ -1,25 +0,0 @@ -Imports NETGeographicLib - -Module example_OSGB - Sub Main() - Try - ' Sample forward calculation from - ' A guide to coordinate systems in Great Britain - Dim lat As Double = DMS.Decode(52, 39, 27.2531) - Dim lon As Double = DMS.Decode(1, 43, 4.5177) - Dim x, y As Double - OSGB.Forward(lat, lon, x, y) - Dim gridref As String = "" - OSGB.GridReference(x, y, 2, gridref) - Console.WriteLine(String.Format("{0} {1} {2}", x, y, gridref)) - ' Sample reverse calculation - gridref = "TG5113" - Dim prec As Integer - OSGB.GridReference(gridref, x, y, prec, True) - OSGB.Reverse(x, y, lat, lon) - Console.WriteLine(String.Format("{0} {1} {2}", prec, lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-PolarStereographic.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-PolarStereographic.vb deleted file mode 100644 index e246a9da2423355f935831fd632e4a7cb4ed677d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-PolarStereographic.vb +++ /dev/null @@ -1,21 +0,0 @@ -Imports NETGeographicLib - -Module example_PolarStereographic - Sub Main() - Try - Dim proj As PolarStereographic = New PolarStereographic() ' WGS84 - Dim northp As Boolean = True - ' Sample forward calculation - Dim lat As Double = 61.2, lon = -149.9 ' Anchorage - Dim x, y As Double - proj.Forward(northp, lat, lon, x, y) - Console.WriteLine(String.Format("{0} {1}", x, y)) - ' Sample reverse calculation - x = -1637000.0 : y = 2824000.0 - proj.Reverse(northp, x, y, lat, lon) - Console.WriteLine(String.Format("{0} {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-PolygonArea.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-PolygonArea.vb deleted file mode 100644 index 6bf613a0dce028600425c0a8e6507957b75869cc..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-PolygonArea.vb +++ /dev/null @@ -1,19 +0,0 @@ -Imports NETGeographicLib - -Module example_PolygonArea - Sub Main() - Try - Dim geod As Geodesic = New Geodesic() ' WGS84 - Dim poly As PolygonArea = New PolygonArea(geod, True) - poly.AddPoint(52, 0) ' London - poly.AddPoint(41, -74) ' New York - poly.AddPoint(-23, -43) ' Rio de Janeiro - poly.AddPoint(-26, 28) ' Johannesburg - Dim perimeter, area As Double - Dim n As UInteger = poly.Compute(False, True, perimeter, area) - Console.WriteLine(String.Format("{0} {1} {2}", n, perimeter, area)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Rhumb.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Rhumb.vb deleted file mode 100644 index 8aa3e34d71123ef835e0611045e64ce63b7da664..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-Rhumb.vb +++ /dev/null @@ -1,24 +0,0 @@ -Imports NETGeographicLib - -Module example_Rhumb - Sub Main() - Try - Dim rhumb As Rhumb = New Rhumb(Constants.WGS84.EquatorialRadius, Constants.WGS84.Flattening, True) - ' Alternatively: const Rhumb& rhumb = Rhumb::WGS84(); - - ' Sample direct calculation, travelling about NE from JFK - Dim lat1 As Double = 40.6, lon1 = -73.8, s12 = 5500000.0, azi12 = 51 - Dim lat2 As Double, lon2 - rhumb.Direct(lat1, lon1, azi12, s12, lat2, lon2) - Console.WriteLine("{0} {1}", lat2, lon2) - - ' Sample inverse calculation, JFK to LHR - lat1 = 40.6 : lon1 = -73.8 ' JFK Airport - lat2 = 51.6 : lon2 = -0.5 ' LHR Airport - rhumb.Inverse(lat1, lon1, lat2, lon2, s12, azi12) - Console.WriteLine("{0} {1}", s12, azi12) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-RhumbLine.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-RhumbLine.vb deleted file mode 100644 index 8ac4e39bf0c109678cc67ac361fadc29adb09233..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-RhumbLine.vb +++ /dev/null @@ -1,27 +0,0 @@ -Imports NETGeographicLib -Module example_RhumbLine - Sub Main() - Try - ' Print waypoints between JFK and SIN - Dim rhumb As Rhumb = New Rhumb(Constants.WGS84.EquatorialRadius, Constants.WGS84.Flattening, True) - ' Alternatively: const Rhumb& rhumb = Rhumb::WGS84(); - Dim lat1 As Double = 40.64, lon1 = -73.779 ' JFK - Dim lat2 As Double = 1.359, lon2 = 103.989 ' SIN - Dim s12 As Double, azi12 - rhumb.Inverse(lat1, lon1, lat2, lon2, s12, azi12); - Dim line As RhumbLine = rhumb.Line(lat1, lon1, azi12) - - Dim ds As Double = 500000.0 ' Nominal distance between points = 500 km - Dim num As Integer = (Integer)Math.Ceiling(s12 / ds) ' The number of intervals - ' Use intervals of equal length - ds = s12 / num - For i As Integer = 0 To num - 1 - Dim lat As Double, lon - line.Position(i * ds, lat, lon) - Console.WriteLine("{0} {1} {2}", i, lat, lon) - Next - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic.vb deleted file mode 100644 index 6921b4ce54b96dd4a730f1d3d620319b0ee9d75a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic.vb +++ /dev/null @@ -1,19 +0,0 @@ -Imports NETGeographicLib - -Module example_SphericalHarmonic - Sub Main() - Try - Dim N As Integer = 3 ' The maximum degree - Dim ca As Double() = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1} ' cosine coefficients - Dim sa As Double() = {6, 5, 4, 3, 2, 1} ' sine coefficients - Dim a As Double = 1 - Dim h As SphericalHarmonic = New SphericalHarmonic(ca, sa, N, a, SphericalHarmonic.Normalization.SCHMIDT) - Dim x As Double = 2, y = 3, z = 1 - Dim vx, vy, vz As Double - Dim v As Double = h.HarmonicSum(x, y, z, vx, vy, vz) - Console.WriteLine(String.Format("{0} {1} {2} {3}", v, vx, vy, vz)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic1.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic1.vb deleted file mode 100644 index 7ca518f8dfc9eabe8e66c0dc1ec87500c4aa13f9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic1.vb +++ /dev/null @@ -1,21 +0,0 @@ -Imports NETGeographicLib - -Module example_SphericalHarmonic1 - Sub Main() - Try - Dim N As Integer = 3, N1 = 2 ' The maximum degrees - Dim ca As Double() = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1} ' cosine coefficients - Dim sa As Double() = {6, 5, 4, 3, 2, 1} ' sine coefficients - Dim cb As Double() = {1, 2, 3, 4, 5, 6} - Dim sb As Double() = {3, 2, 1} - Dim a As Double = 1 - Dim h As SphericalHarmonic1 = New SphericalHarmonic1(ca, sa, N, cb, sb, N1, a, SphericalHarmonic1.Normalization.SCHMIDT) - Dim tau As Double = 0.1, x = 2, y = 3, z = 1 - Dim vx, vy, vz As Double - Dim v As Double = h.HarmonicSum(tau, x, y, z, vx, vy, vz) - Console.WriteLine(String.Format("{0} {1} {2} {3}", v, vx, vy, vz)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic2.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic2.vb deleted file mode 100644 index c8bd591fe5e0340a621bed1df193618191ba9fac..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-SphericalHarmonic2.vb +++ /dev/null @@ -1,26 +0,0 @@ -Imports NETGeographicLib - -Module example_SphericalHarmonic2 - Sub Main() - Try - Dim N As Integer = 3, N1 = 2, N2 = 1 ' The maximum degrees - Dim ca As Double() = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1} ' cosine coefficients - Dim sa As Double() = {6, 5, 4, 3, 2, 1} ' sine coefficients - Dim cb As Double() = {1, 2, 3, 4, 5, 6} - Dim sb As Double() = {3, 2, 1} - Dim cc As Double() = {2, 1} - Dim S2 As Double() = {0} - Dim a As Double = 1 - Dim h As SphericalHarmonic2 = New SphericalHarmonic2( - ca, sa, N, N, N, cb, sb, N1, N1, N1, - cc, S2, N2, N2, 0, a, - SphericalHarmonic2.Normalization.SCHMIDT) - Dim tau1 As Double = 0.1, tau2 = 0.05, x = 2, y = 3, z = 1 - Dim vx, vy, vz As Double - Dim v As Double = h.HarmonicSum(tau1, tau2, x, y, z, vx, vy, vz) - Console.WriteLine(String.Format("{0} {1} {2} {3}", v, vx, vy, vz)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-TransverseMercator.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-TransverseMercator.vb deleted file mode 100644 index 92186b27b46cff442c87403676a7e6a3e0dd26e2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-TransverseMercator.vb +++ /dev/null @@ -1,21 +0,0 @@ -Imports NETGeographicLib - -Module example_TransverseMercator - Sub Main() - Try - Dim proj As TransverseMercator = New TransverseMercator() ' WGS84 - Dim lon0 As Double = -75 ' Central meridian for UTM zone 18 - ' Sample forward calculation - Dim lat As Double = 40.3, lon = -74.7 ' Princeton, NJ - Dim x, y As Double - proj.Forward(lon0, lat, lon, x, y) - Console.WriteLine(String.Format("{0} {1}", x, y)) - ' Sample reverse calculation - x = 25000.0 : y = 4461000.0 - proj.Reverse(lon0, x, y, lat, lon) - Console.WriteLine(String.Format("{0} {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-TransverseMercatorExact.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-TransverseMercatorExact.vb deleted file mode 100644 index 131f78cedaf110b55f1338fce9ee39c777a59c7c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-TransverseMercatorExact.vb +++ /dev/null @@ -1,21 +0,0 @@ -Imports NETGeographicLib - -Module example_TransverseMercatorExact - Sub Main() - Try - Dim proj As TransverseMercatorExact = New TransverseMercatorExact() ' WGS84 - Dim lon0 As Double = -75 ' Central meridian for UTM zone 18 - ' Sample forward calculation - Dim lat As Double = 40.3, lon = -74.7 ' Princeton, NJ - Dim x, y As Double - proj.Forward(lon0, lat, lon, x, y) - Console.WriteLine(String.Format("{0} {1}", x, y)) - ' Sample reverse calculation - x = 25000.0 : y = 4461000.0 - proj.Reverse(lon0, x, y, lat, lon) - Console.WriteLine(String.Format("{0} {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-UTMUPS.vb b/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-UTMUPS.vb deleted file mode 100644 index 771e741586c99de318abe0a6c9500d9962cda56b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/dotnet/examples/VB/example-UTMUPS.vb +++ /dev/null @@ -1,25 +0,0 @@ -Imports NETGeographicLib - -Module example_UTMUPS - Sub Main() - Try - ' See also example-GeoCoords.cpp - ' Sample forward calculation - Dim lat As Double = 33.3, lon = 44.4 ' Baghdad - Dim zone As Integer - Dim northp As Boolean - Dim x, y As Double - UTMUPS.Forward(lat, lon, zone, northp, x, y, -1, True) - Dim zonestr As String = UTMUPS.EncodeZone(zone, northp, True) - Console.WriteLine(String.Format("{0} {1} {2}", zonestr, x, y)) - ' Sample reverse calculation - zonestr = "38N" - UTMUPS.DecodeZone(zonestr, zone, northp) - x = 444000.0 : y = 3688000.0 - UTMUPS.Reverse(zone, northp, x, y, lat, lon, True) - Console.WriteLine(String.Format("{0} {1}", lat, lon)) - Catch ex As GeographicErr - Console.WriteLine(String.Format("Caught exception: {0}", ex.Message)) - End Try - End Sub -End Module diff --git a/libs/GeographicLib-1.50.1/examples/CMakeLists.txt b/libs/GeographicLib-1.50.1/examples/CMakeLists.txt deleted file mode 100644 index cd82d89224ba7c65b095bdd85062463716aeff02..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/CMakeLists.txt +++ /dev/null @@ -1,55 +0,0 @@ -# Compile a bunch of tiny example programs. These are built with the -# "exampleprograms" target. These are mainly for including as examples -# within the doxygen documentation; however, compiling them catches some -# obvious blunders. -if (GEOGRAPHICLIB_PRECISION EQUAL 2) - # These examples all assume real = double - file (GLOB EXAMPLE_SOURCES example-*.cpp) - if (USE_BOOST_FOR_EXAMPLES AND Boost_FOUND) - add_definitions (-DGEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION=1) - include_directories ("${Boost_INCLUDE_DIRS}") - endif () -else () - set (EXAMPLE_SOURCES) -endif () -set (EXAMPLE_SOURCES ${EXAMPLE_SOURCES} - GeoidToGTX.cpp make-egmcof.cpp JacobiConformal.cpp) - -set (EXAMPLES) -add_definitions (${PROJECT_DEFINITIONS}) - -foreach (EXAMPLE_SOURCE ${EXAMPLE_SOURCES}) - get_filename_component (EXAMPLE ${EXAMPLE_SOURCE} NAME_WE) - set (EXAMPLES ${EXAMPLES} ${EXAMPLE}) - if (EXISTS ${EXAMPLE}.hpp) - set (EXAMPLE_SOURCE ${EXAMPLE_SOURCE} ${EXAMPLE}.hpp) - endif () - add_executable (${EXAMPLE} EXCLUDE_FROM_ALL ${EXAMPLE_SOURCE}) - target_link_libraries (${EXAMPLE} ${PROJECT_LIBRARIES} ${HIGHPREC_LIBRARIES}) -endforeach () - -if (Boost_FOUND AND GEOGRAPHICLIB_PRECISION EQUAL 2) - target_link_libraries (example-NearestNeighbor ${Boost_LIBRARIES}) -endif () - -find_package (OpenMP QUIET) - -if (OPENMP_FOUND) - set_target_properties (GeoidToGTX PROPERTIES - COMPILE_FLAGS ${OpenMP_CXX_FLAGS}) - if (NOT WIN32) - set_target_properties (GeoidToGTX PROPERTIES - LINK_FLAGS ${OpenMP_CXX_FLAGS}) - endif () -endif () - -if (MSVC OR CMAKE_CONFIGURATION_TYPES) - # Add _d suffix for your debug versions of the tools - set_target_properties (${EXAMPLES} PROPERTIES - DEBUG_POSTFIX ${CMAKE_DEBUG_POSTFIX}) -endif () - -add_custom_target (exampleprograms DEPENDS ${EXAMPLES}) - -# Put all the examples into a folder in the IDE -set_property (TARGET exampleprograms ${EXAMPLES} PROPERTY FOLDER examples) diff --git a/libs/GeographicLib-1.50.1/examples/GeoidToGTX.cpp b/libs/GeographicLib-1.50.1/examples/GeoidToGTX.cpp deleted file mode 100644 index 90f4aa26497fc989233003d99da6d6c87c686265..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/GeoidToGTX.cpp +++ /dev/null @@ -1,111 +0,0 @@ -// Write out a gtx file of geoid heights above the ellipsoid. For egm2008 at -// 1' resolution this takes about 40 mins on a 8-processor Intel 2.66 GHz -// machine using OpenMP. -// -// For the format of gtx files, see -// https://vdatum.noaa.gov/docs/gtx_info.html#dev_gtx_binary -// -// data is binary big-endian: -// south latitude edge (degrees double) -// west longitude edge (degrees double) -// delta latitude (degrees double) -// delta longitude (degrees double) -// nlat = number of latitude rows (integer) -// nlong = number of longitude columns (integer) -// nlat * nlong geoid heights (meters float) - -#include -#include -#include -#include -#include - -#if defined(_OPENMP) -#define HAVE_OPENMP 1 -#else -#define HAVE_OPENMP 0 -#endif - -#if HAVE_OPENMP -# include -#endif - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main(int argc, const char* const argv[]) { - // Hardwired for 3 args: - // 1 = the gravity model (e.g., egm2008) - // 2 = intervals per degree - // 3 = output GTX file - if (argc != 4) { - cerr << "Usage: " << argv[0] - << " gravity-model intervals-per-degree output.gtx\n"; - return 1; - } - try { - // Will need to set the precision for each thread, so save return value - int ndigits = Utility::set_digits(); - string model(argv[1]); - // Number of intervals per degree - int ndeg = Utility::val(string(argv[2])); - string filename(argv[3]); - GravityModel g(model); - int - nlat = 180 * ndeg + 1, - nlon = 360 * ndeg; - Math::real - delta = 1 / Math::real(ndeg), // Grid spacing - latorg = -90, - lonorg = -180; - // Write results as floats in binary mode - ofstream file(filename.c_str(), ios::binary); - - // Write header - { - Math::real transform[] = {latorg, lonorg, delta, delta}; - unsigned sizes[] = {unsigned(nlat), unsigned(nlon)}; - Utility::writearray(file, transform, 4); - Utility::writearray(file, sizes, 2); - } - - // Compute and store results for nbatch latitudes at a time - const int nbatch = 64; - vector< vector > N(nbatch, vector(nlon)); - - for (int ilat0 = 0; ilat0 < nlat; ilat0 += nbatch) { // Loop over batches - int nlat0 = min(nlat, ilat0 + nbatch); - -#if HAVE_OPENMP -# pragma omp parallel for -#endif - for (int ilat = ilat0; ilat < nlat0; ++ilat) { // Loop over latitudes - Utility::set_digits(ndigits); // Set the precision - Math::real - lat = latorg + (ilat / ndeg) + delta * (ilat - ndeg * (ilat / ndeg)), - h = 0; - GravityCircle c(g.Circle(lat, h, GravityModel::GEOID_HEIGHT)); - for (int ilon = 0; ilon < nlon; ++ilon) { // Loop over longitudes - Math::real lon = lonorg - + (ilon / ndeg) + delta * (ilon - ndeg * (ilon / ndeg)); - N[ilat - ilat0][ilon] = float(c.GeoidHeight(lon)); - } // longitude loop - } // latitude loop -- end of parallel section - - for (int ilat = ilat0; ilat < nlat0; ++ilat) // write out data - Utility::writearray(file, N[ilat - ilat0]); - } // batch loop - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } - catch (...) { - cerr << "Caught unknown exception\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/JacobiConformal.cpp b/libs/GeographicLib-1.50.1/examples/JacobiConformal.cpp deleted file mode 100644 index 5b7735b2ca86db88a521eb7961e48451fe01ec66..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/JacobiConformal.cpp +++ /dev/null @@ -1,43 +0,0 @@ -// Example of using the GeographicLib::JacobiConformal class. - -#include -#include -#include -#include -#include "JacobiConformal.hpp" - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Utility::set_digits(); - // These parameters were derived from the EGM2008 geoid; see 2011-07-04 - // E-mail to PROJ.4 list, "Analyzing the bumps in the EGM2008 geoid". The - // longitude of the major axis is -15. These are close to the values given - // by Milan Bursa, Vladimira Fialova, "Parameters of the Earth's tri-axial - // level ellipsoid", Studia Geophysica et Geodaetica 37(1), 1-13 (1993): - // - // longitude of major axis = -14.93 +/- 0.05 - // a = 6378171.36 +/- 0.30 - // a/(a-c) = 297.7738 +/- 0.0003 - // a/(a-b) = 91449 +/- 60 - // which gives: a = 6378171.36, b = 6378101.61, c = 6356751.84 - Math::real a = 6378137+35, b = 6378137-35, c = 6356752; - JacobiConformal jc(a, b, c, a-b, b-c); - cout << fixed << setprecision(1) - << "Ellipsoid parameters: a = " - << a << ", b = " << b << ", c = " << c << "\n" - << setprecision(10) - << "Quadrants: x = " << jc.x() << ", y = " << jc.y() << "\n"; - cout << "Coordinates (angle x y) in degrees:\n"; - for (int i = 0; i <= 90; i += 5) { - Math::real omg = i, bet = i; - cout << i << " " << jc.x(omg) << " " << jc.y(bet) << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/JacobiConformal.hpp b/libs/GeographicLib-1.50.1/examples/JacobiConformal.hpp deleted file mode 100644 index 3467a7fb6f3b885515a33c303baf003369dbc16d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/JacobiConformal.hpp +++ /dev/null @@ -1,167 +0,0 @@ -/** - * \file JacobiConformal.hpp - * \brief Header for GeographicLib::JacobiConformal class - * - * NOTE: This is just sample code. It is not part of GeographicLib - * itself. - * - * Copyright (c) Charles Karney (2014-2015) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#include - -namespace GeographicLib { - /** - * \brief Jacobi's conformal projection of a triaxial ellipsoid - * - * NOTE: This is just sample code. It is not part of GeographicLib - * itself. - * - * This is a conformal projection of the ellipsoid to a plane in which - * the grid lines are straight; see Jacobi, - * - * Vorlesungen über Dynamik, §28. The constructor takes the - * semi-axes of the ellipsoid (which must be in order). Member functions map - * the ellipsoidal coordinates ω and β separately to \e x and \e - * y. Jacobi's coordinates have been multiplied by - * (a2−c2)1/2 / - * (2b) so that the customary results are returned in the cases of - * a sphere or an ellipsoid of revolution. - * - * The ellipsoid is oriented so that the large principal ellipse, \f$Z=0\f$, - * is the equator, \f$\beta=0\f$, while the small principal ellipse, - * \f$Y=0\f$, is the prime meridian, \f$\omega=0\f$. The four umbilic - * points, \f$\left|\omega\right| = \left|\beta\right| = \frac12\pi\f$, lie - * on middle principal ellipse in the plane \f$X=0\f$. - * - * For more information on this projection, see \ref jacobi. - **********************************************************************/ - class JacobiConformal { - typedef Math::real real; - real _a, _b, _c, _ab2, _bc2, _ac2; - EllipticFunction _ex, _ey; - static void norm(real& x, real& y) - { real z = Math::hypot(x, y); x /= z; y /= z; } - public: - /** - * Constructor for a trixial ellipsoid with semi-axes. - * - * @param[in] a the largest semi-axis. - * @param[in] b the middle semi-axis. - * @param[in] c the smallest semi-axis. - * - * The semi-axes must satisfy \e a ≥ \e b ≥ \e c > 0 and \e a > - * \e c. This form of the constructor cannot be used to specify a - * sphere (use the next constructor). - **********************************************************************/ - JacobiConformal(real a, real b, real c) - : _a(a), _b(b), _c(c) - , _ab2((_a - _b) * (_a + _b)) - , _bc2((_b - _c) * (_b + _c)) - , _ac2((_a - _c) * (_a + _c)) - , _ex(_ab2 / _ac2 * Math::sq(_c / _b), -_ab2 / Math::sq(_b), - _bc2 / _ac2 * Math::sq(_a / _b), Math::sq(_a / _b)) - , _ey(_bc2 / _ac2 * Math::sq(_a / _b), +_bc2 / Math::sq(_b), - _ab2 / _ac2 * Math::sq(_c / _b), Math::sq(_c / _b)) - { - if (!(Math::isfinite(_a) && _a >= _b && _b >= _c && _c > 0)) - throw GeographicErr("JacobiConformal: axes are not in order"); - if (!(_a > _c)) - throw GeographicErr - ("JacobiConformal: use alternate constructor for sphere"); - } - /** - * Alternate constructor for a triaxial ellipsoid. - * - * @param[in] a the largest semi-axis. - * @param[in] b the middle semi-axis. - * @param[in] c the smallest semi-axis. - * @param[in] ab the relative magnitude of \e a − \e b. - * @param[in] bc the relative magnitude of \e b − \e c. - * - * This form can be used to specify a sphere. The semi-axes must - * satisfy \e a ≥ \e b ≥ c > 0. The ratio \e ab : \e bc must equal - * (a−b) : (b−c) with \e ab - * ≥ 0, \e bc ≥ 0, and \e ab + \e bc > 0. - **********************************************************************/ - JacobiConformal(real a, real b, real c, real ab, real bc) - : _a(a), _b(b), _c(c) - , _ab2(ab * (_a + _b)) - , _bc2(bc * (_b + _c)) - , _ac2(_ab2 + _bc2) - , _ex(_ab2 / _ac2 * Math::sq(_c / _b), - -(_a - _b) * (_a + _b) / Math::sq(_b), - _bc2 / _ac2 * Math::sq(_a / _b), Math::sq(_a / _b)) - , _ey(_bc2 / _ac2 * Math::sq(_a / _b), - +(_b - _c) * (_b + _c) / Math::sq(_b), - _ab2 / _ac2 * Math::sq(_c / _b), Math::sq(_c / _b)) - { - if (!(Math::isfinite(_a) && _a >= _b && _b >= _c && _c > 0 && - ab >= 0 && bc >= 0)) - throw GeographicErr("JacobiConformal: axes are not in order"); - if (!(ab + bc > 0 && Math::isfinite(_ac2))) - throw GeographicErr("JacobiConformal: ab + bc must be positive"); - } - /** - * @return the quadrant length in the \e x direction. - **********************************************************************/ - Math::real x() const { return Math::sq(_a / _b) * _ex.Pi(); } - /** - * The \e x projection. - * - * @param[in] somg sin(ω). - * @param[in] comg cos(ω). - * @return \e x. - **********************************************************************/ - Math::real x(real somg, real comg) const { - real somg1 = _b * somg, comg1 = _a * comg; norm(somg1, comg1); - return Math::sq(_a / _b) - * _ex.Pi(somg1, comg1, _ex.Delta(somg1, comg1)); - } - /** - * The \e x projection. - * - * @param[in] omg ω (in degrees). - * @return \e x (in degrees). - * - * ω must be in (−180°, 180°]. - **********************************************************************/ - Math::real x(real omg) const { - real somg, comg; - Math::sincosd(omg, somg, comg); - return x(somg, comg) / Math::degree(); - } - /** - * @return the quadrant length in the \e y direction. - **********************************************************************/ - Math::real y() const { return Math::sq(_c / _b) * _ey.Pi(); } - /** - * The \e y projection. - * - * @param[in] sbet sin(β). - * @param[in] cbet cos(β). - * @return \e y. - **********************************************************************/ - Math::real y(real sbet, real cbet) const { - real sbet1 = _b * sbet, cbet1 = _c * cbet; norm(sbet1, cbet1); - return Math::sq(_c / _b) - * _ey.Pi(sbet1, cbet1, _ey.Delta(sbet1, cbet1)); - } - /** - * The \e y projection. - * - * @param[in] bet β (in degrees). - * @return \e y (in degrees). - * - * β must be in (−180°, 180°]. - **********************************************************************/ - Math::real y(real bet) const { - real sbet, cbet; - Math::sincosd(bet, sbet, cbet); - return y(sbet, cbet) / Math::degree(); - } - }; - -} // namespace GeographicLib diff --git a/libs/GeographicLib-1.50.1/examples/Makefile.am b/libs/GeographicLib-1.50.1/examples/Makefile.am deleted file mode 100644 index e74aa69f53f1c6aee35728af9deb1ab2f8e5fee9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/Makefile.am +++ /dev/null @@ -1,56 +0,0 @@ -# -# Makefile.am -# -# Copyright (C) 2011, Charles Karney - -EXAMPLE_FILES = \ - example-Accumulator.cpp \ - example-AlbersEqualArea.cpp \ - example-AzimuthalEquidistant.cpp \ - example-CassiniSoldner.cpp \ - example-CircularEngine.cpp \ - example-Constants.cpp \ - example-DMS.cpp \ - example-Ellipsoid.cpp \ - example-EllipticFunction.cpp \ - example-GARS.cpp \ - example-GeoCoords.cpp \ - example-Geocentric.cpp \ - example-Geodesic.cpp \ - example-Geodesic-small.cpp \ - example-GeodesicExact.cpp \ - example-GeodesicLine.cpp \ - example-GeodesicLineExact.cpp \ - example-GeographicErr.cpp \ - example-Geohash.cpp \ - example-Geoid.cpp \ - example-Georef.cpp \ - example-Gnomonic.cpp \ - example-GravityCircle.cpp \ - example-GravityModel.cpp \ - example-LambertConformalConic.cpp \ - example-LocalCartesian.cpp \ - example-MGRS.cpp \ - example-MagneticCircle.cpp \ - example-MagneticModel.cpp \ - example-Math.cpp \ - example-NearestNeighbor.cpp \ - example-NormalGravity.cpp \ - example-OSGB.cpp \ - example-PolarStereographic.cpp \ - example-PolygonArea.cpp \ - example-Rhumb.cpp \ - example-RhumbLine.cpp \ - example-SphericalEngine.cpp \ - example-SphericalHarmonic.cpp \ - example-SphericalHarmonic1.cpp \ - example-SphericalHarmonic2.cpp \ - example-TransverseMercator.cpp \ - example-TransverseMercatorExact.cpp \ - example-UTMUPS.cpp \ - example-Utility.cpp \ - GeoidToGTX.cpp \ - JacobiConformal.cpp JacobiConformal.hpp \ - make-egmcof.cpp - -EXTRA_DIST = CMakeLists.txt $(EXAMPLE_FILES) diff --git a/libs/GeographicLib-1.50.1/examples/Makefile.in b/libs/GeographicLib-1.50.1/examples/Makefile.in deleted file mode 100644 index 73b79a26d5474e8dce6788d9305903d315cdaf78..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/Makefile.in +++ /dev/null @@ -1,518 +0,0 @@ -# Makefile.in generated by automake 1.16.1 from Makefile.am. -# @configure_input@ - -# Copyright (C) 1994-2018 Free Software Foundation, Inc. - -# This Makefile.in is free software; the Free Software Foundation -# gives unlimited permission to copy and/or distribute it, -# with or without modifications, as long as this notice is preserved. - 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-int main() { - try { - // Compare using Accumulator and ordinary summation for a sum of large and - // small terms. - double sum = 0; - Accumulator<> acc = 0; - sum += 1e20; sum += 1; sum += 2; sum += 100; sum += 5000; sum += -1e20; - acc += 1e20; acc += 1; acc += 2; acc += 100; acc += 5000; acc += -1e20; - cout << sum << " " << acc() << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-AlbersEqualArea.cpp b/libs/GeographicLib-1.50.1/examples/example-AlbersEqualArea.cpp deleted file mode 100644 index 7a041fd55e1c471ceeb931cace3ab67e3103b37e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-AlbersEqualArea.cpp +++ /dev/null @@ -1,39 +0,0 @@ -// Example of using the GeographicLib::AlbersEqualArea class - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - const double - a = Constants::WGS84_a(), - f = Constants::WGS84_f(), - lat1 = 40 + 58/60.0, lat2 = 39 + 56/60.0, // standard parallels - k1 = 1, // scale - lon0 = -77 - 45/60.0; // Central meridian - // Set up basic projection - const AlbersEqualArea albers(a, f, lat1, lat2, k1); - { - // Sample conversion from geodetic to Albers Equal Area - double lat = 39.95, lon = -75.17; // Philadelphia - double x, y; - albers.Forward(lon0, lat, lon, x, y); - cout << x << " " << y << "\n"; - } - { - // Sample conversion from Albers Equal Area grid to geodetic - double x = 220e3, y = -53e3; - double lat, lon; - albers.Reverse(lon0, x, y, lat, lon); - cout << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-AzimuthalEquidistant.cpp b/libs/GeographicLib-1.50.1/examples/example-AzimuthalEquidistant.cpp deleted file mode 100644 index e3cecd82c1c8df213d0b3f2b176d8f95ef9957f8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-AzimuthalEquidistant.cpp +++ /dev/null @@ -1,36 +0,0 @@ -// Example of using the GeographicLib::AzimuthalEquidistant class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Geodesic geod(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Geodesic& geod = Geodesic::WGS84(); - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - AzimuthalEquidistant proj(geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj.Forward(lat0, lon0, lat, lon, x, y); - cout << x << " " << y << "\n"; - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj.Reverse(lat0, lon0, x, y, lat, lon); - cout << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-CassiniSoldner.cpp b/libs/GeographicLib-1.50.1/examples/example-CassiniSoldner.cpp deleted file mode 100644 index cb329d97890b7414dd3c947f2c70eeb57457d532..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-CassiniSoldner.cpp +++ /dev/null @@ -1,36 +0,0 @@ -// Example of using the GeographicLib::CassiniSoldner class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Geodesic geod(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Geodesic& geod = Geodesic::WGS84(); - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - CassiniSoldner proj(lat0, lon0, geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj.Forward(lat, lon, x, y); - cout << x << " " << y << "\n"; - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj.Reverse(x, y, lat, lon); - cout << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-CircularEngine.cpp b/libs/GeographicLib-1.50.1/examples/example-CircularEngine.cpp deleted file mode 100644 index 3e7d1f60dee6ce9bf0f0ffa4692fac3ccfa5060e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-CircularEngine.cpp +++ /dev/null @@ -1,34 +0,0 @@ -// Example of using the GeographicLib::CircularEngine class - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - // This computes the same value as example-SphericalHarmonic.cpp using a - // CircularEngine (which will be faster if many values on a circle of - // latitude are to be found). - try { - int N = 3; // The maxium degree - double ca[] = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - vector C(ca, ca + (N + 1) * (N + 2) / 2); - double sa[] = {6, 5, 4, 3, 2, 1}; // sine coefficients - vector S(sa, sa + N * (N + 1) / 2); - double a = 1; - SphericalHarmonic h(C, S, N, a); - double x = 2, y = 3, z = 1, p = Math::hypot(x, y); - CircularEngine circ = h.Circle(p, z, true); - double v, vx, vy, vz; - v = circ(x/p, y/p, vx, vy, vz); - cout << v << " " << vx << " " << vy << " " << vz << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Constants.cpp b/libs/GeographicLib-1.50.1/examples/example-Constants.cpp deleted file mode 100644 index f9602fb7db45bc4bc9b16d8c8f4c390cddd78d65..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Constants.cpp +++ /dev/null @@ -1,20 +0,0 @@ -// Example of using the GeographicLib::Constants class - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - cout << "WGS84 parameters:\n" - << "a = " << Constants::WGS84_a() << " m\n" - << "f = 1/" << 1/Constants::WGS84_f() << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-DMS.cpp b/libs/GeographicLib-1.50.1/examples/example-DMS.cpp deleted file mode 100644 index 90939c9097cc81844b05114396a44b0565eaf4e0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-DMS.cpp +++ /dev/null @@ -1,29 +0,0 @@ -// Example of using the GeographicLib::DMS class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - { - string dms = "30d14'45.6\"S"; - DMS::flag type; - double ang = DMS::Decode(dms, type); - cout << type << " " << ang << "\n"; - } - { - double ang = -30.245715; - string dms = DMS::Encode(ang, 6, DMS::LATITUDE); - cout << dms << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Ellipsoid.cpp b/libs/GeographicLib-1.50.1/examples/example-Ellipsoid.cpp deleted file mode 100644 index 0eaeae9de225b2265b38a4a3308415692dfc970f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Ellipsoid.cpp +++ /dev/null @@ -1,42 +0,0 @@ -// Example of using the GeographicLib::Ellipsoid class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Ellipsoid wgs84(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Ellipsoid& wgs84 = Ellipsoid::WGS84(); - cout << "The latitude half way between the equator and the pole is " - << wgs84.InverseRectifyingLatitude(45) << "\n"; - cout << "Half the area of the ellipsoid lies between latitudes +/- " - << wgs84.InverseAuthalicLatitude(30) << "\n"; - cout << "The northernmost edge of a square Mercator map is at latitude " - << wgs84.InverseIsometricLatitude(180) << "\n"; - cout << "Table phi(deg) beta-phi xi-phi mu-phi chi-phi theta-phi (mins)\n" - << fixed << setprecision(2); - for (int i = 0; i <= 90; i += 15) { - double phi = i, - bet = wgs84.ParametricLatitude(phi), - xi = wgs84.AuthalicLatitude(phi), - mu = wgs84.RectifyingLatitude(phi), - chi = wgs84.ConformalLatitude(phi), - theta = wgs84.GeocentricLatitude(phi); - cout << i << " " - << (bet-phi)*60 << " " - << (xi-phi)*60 << " " - << (mu-phi)*60 << " " - << (chi-phi)*60 << " " - << (theta-phi)*60 << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-EllipticFunction.cpp b/libs/GeographicLib-1.50.1/examples/example-EllipticFunction.cpp deleted file mode 100644 index c1e21112801d1d88939d32326d13745fa27065b3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-EllipticFunction.cpp +++ /dev/null @@ -1,43 +0,0 @@ -// Example of using the GeographicLib::EllipticFunction class - -#include -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - EllipticFunction ell(0.1); // parameter m = 0.1 - // See Abramowitz and Stegun, table 17.1 - cout << ell.K() << " " << ell.E() << "\n"; - double phi = 20, sn, cn; - Math::sincosd(phi, sn ,cn); - // See Abramowitz and Stegun, table 17.6 with - // alpha = asin(sqrt(m)) = 18.43 deg and phi = 20 deg - cout << ell.E(phi * Math::degree()) << " " - << ell.E(sn, cn, ell.Delta(sn, cn)) - << "\n"; - // See Carlson 1995, Sec 3. - cout << fixed << setprecision(16) - << "RF(1,2,0) = " << EllipticFunction::RF(1,2) << "\n" - << "RF(2,3,4) = " << EllipticFunction::RF(2,3,4) << "\n" - << "RC(0,1/4) = " << EllipticFunction::RC(0,0.25) << "\n" - << "RC(9/4,2) = " << EllipticFunction::RC(2.25,2) << "\n" - << "RC(1/4,-2) = " << EllipticFunction::RC(0.25,-2) << "\n" - << "RJ(0,1,2,3) = " << EllipticFunction::RJ(0,1,2,3) << "\n" - << "RJ(2,3,4,5) = " << EllipticFunction::RJ(2,3,4,5) << "\n" - << "RD(0,2,1) = " << EllipticFunction::RD(0,2,1) << "\n" - << "RD(2,3,4) = " << EllipticFunction::RD(2,3,4) << "\n" - << "RG(0,16,16) = " << EllipticFunction::RG(16,16) << "\n" - << "RG(2,3,4) = " << EllipticFunction::RG(2,3,4) << "\n" - << "RG(0,0.0796,4) = " << EllipticFunction::RG(0.0796,4) << "\n"; - } - catch (const exception& e) { - cout << "Caught exception: " << e.what() << "\n"; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-GARS.cpp b/libs/GeographicLib-1.50.1/examples/example-GARS.cpp deleted file mode 100644 index 981e4693eb16b7501cc8aa7525fac584ada8cb8c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-GARS.cpp +++ /dev/null @@ -1,39 +0,0 @@ -// Example of using the GeographicLib::GARS class - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland - string gars; - for (int prec = 0; prec <= 2; ++prec) { - GARS::Forward(lat, lon, prec, gars); - cout << prec << " " << gars << "\n"; - } - } - { - // Sample reverse calculation - string gars = "381NH45"; - double lat, lon; - cout << fixed; - for (int len = 5; len <= int(gars.size()); ++len) { - int prec; - GARS::Reverse(gars.substr(0, len), lat, lon, prec); - cout << prec << " " << lat << " " << lon << "\n"; - } - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-GeoCoords.cpp b/libs/GeographicLib-1.50.1/examples/example-GeoCoords.cpp deleted file mode 100644 index 1a14b6cb3b14e00dfc918c67a055c94729257418..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-GeoCoords.cpp +++ /dev/null @@ -1,26 +0,0 @@ -// Example of using the GeographicLib::GeoCoords class - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - // Miscellaneous conversions - double lat = 33.3, lon = 44.4; - GeoCoords c(lat, lon); - cout << c.MGRSRepresentation(-3) << "\n"; - c.Reset("18TWN0050"); - cout << c.DMSRepresentation() << "\n"; - cout << c.Latitude() << " " << c.Longitude() << "\n"; - c.Reset("1d38'W 55d30'N"); - cout << c.GeoRepresentation() << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Geocentric.cpp b/libs/GeographicLib-1.50.1/examples/example-Geocentric.cpp deleted file mode 100644 index b2394f071888ff52876294230814afb2c889f813..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Geocentric.cpp +++ /dev/null @@ -1,36 +0,0 @@ -// Example of using the GeographicLib::Geocentric class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Geocentric earth(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Geocentric& earth = Geocentric::WGS84(); - { - // Sample forward calculation - double lat = 27.99, lon = 86.93, h = 8820; // Mt Everest - double X, Y, Z; - earth.Forward(lat, lon, h, X, Y, Z); - cout << floor(X / 1000 + 0.5) << " " - << floor(Y / 1000 + 0.5) << " " - << floor(Z / 1000 + 0.5) << "\n"; - } - { - // Sample reverse calculation - double X = 302e3, Y = 5636e3, Z = 2980e3; - double lat, lon, h; - earth.Reverse(X, Y, Z, lat, lon, h); - cout << lat << " " << lon << " " << h << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Geodesic-small.cpp b/libs/GeographicLib-1.50.1/examples/example-Geodesic-small.cpp deleted file mode 100644 index 7d936e82f64062ca7f2235ef65cdb280b3660363..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Geodesic-small.cpp +++ /dev/null @@ -1,18 +0,0 @@ -// Small example of using the GeographicLib::Geodesic class - -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - const Geodesic& geod = Geodesic::WGS84(); - // Distance from JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12; - geod.Inverse(lat1, lon1, lat2, lon2, s12); - cout << s12 / 1000 << " km\n"; -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Geodesic.cpp b/libs/GeographicLib-1.50.1/examples/example-Geodesic.cpp deleted file mode 100644 index 1d7b3452d81cf089678756d7914ec51ca1a3cc1b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Geodesic.cpp +++ /dev/null @@ -1,36 +0,0 @@ -// Example of using the GeographicLib::Geodesic class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Geodesic geod(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Geodesic& geod = Geodesic::WGS84(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi1 = 51; - double lat2, lon2; - geod.Direct(lat1, lon1, azi1, s12, lat2, lon2); - cout << lat2 << " " << lon2 << "\n"; - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12; - geod.Inverse(lat1, lon1, lat2, lon2, s12); - cout << s12 << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-GeodesicExact.cpp b/libs/GeographicLib-1.50.1/examples/example-GeodesicExact.cpp deleted file mode 100644 index c3536487cf4fe0825363ede605a5906e928694fe..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-GeodesicExact.cpp +++ /dev/null @@ -1,36 +0,0 @@ -// Example of using the GeographicLib::GeodesicExact class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - GeodesicExact geod(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const GeodesicExact& geod = GeodesicExact::WGS84(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi1 = 51; - double lat2, lon2; - geod.Direct(lat1, lon1, azi1, s12, lat2, lon2); - cout << lat2 << " " << lon2 << "\n"; - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12; - geod.Inverse(lat1, lon1, lat2, lon2, s12); - cout << s12 << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-GeodesicLine.cpp b/libs/GeographicLib-1.50.1/examples/example-GeodesicLine.cpp deleted file mode 100644 index b9b251613a415c89fb18f82b76dcc84c2e6553d2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-GeodesicLine.cpp +++ /dev/null @@ -1,50 +0,0 @@ -// Example of using the GeographicLib::GeodesicLine class - -#include -#include -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - // Print waypoints between JFK and SIN - Geodesic geod(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Geodesic& geod = Geodesic::WGS84(); - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - const GeographicLib::GeodesicLine line = - geod.InverseLine(lat1, lon1, lat2, lon2); - double ds0 = 500e3; // Nominal distance between points = 500 km - int num = int(ceil(line.Distance() / ds0)); // The number of intervals - cout << fixed << setprecision(3); - { - // Use intervals of equal length - double ds = line.Distance() / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line.Position(i * ds, lat, lon); - cout << i << " " << lat << " " << lon << "\n"; - } - } - { - // Slightly faster, use intervals of equal arc length - double da = line.Arc() / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line.ArcPosition(i * da, lat, lon); - cout << i << " " << lat << " " << lon << "\n"; - } - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-GeodesicLineExact.cpp b/libs/GeographicLib-1.50.1/examples/example-GeodesicLineExact.cpp deleted file mode 100644 index 94871c2b2ac8983acedc84f5840c58cbbff64361..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-GeodesicLineExact.cpp +++ /dev/null @@ -1,50 +0,0 @@ -// Example of using the GeographicLib::GeodesicLineExact class - -#include -#include -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - // Print waypoints between JFK and SIN - GeodesicExact geod(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const GeodesicExact& geod = GeodesicExact::WGS84(); - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - const GeographicLib::GeodesicLineExact line = - geod.InverseLine(lat1, lon1, lat2, lon2); - double ds0 = 500e3; // Nominal distance between points = 500 km - int num = int(ceil(line.Distance() / ds0)); // The number of intervals - cout << fixed << setprecision(3); - { - // Use intervals of equal length - double ds = line.Distance() / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line.Position(i * ds, lat, lon); - cout << i << " " << lat << " " << lon << "\n"; - } - } - { - // Slightly faster, use intervals of equal arc length - double da = line.Arc() / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line.ArcPosition(i * da, lat, lon); - cout << i << " " << lat << " " << lon << "\n"; - } - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-GeographicErr.cpp b/libs/GeographicLib-1.50.1/examples/example-GeographicErr.cpp deleted file mode 100644 index 6347703011800fe06162c6eece650631c1b8efd7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-GeographicErr.cpp +++ /dev/null @@ -1,16 +0,0 @@ -// Example of using the GeographicLib::GeographicErr class - -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - throw GeographicErr("Test throwing an exception"); - } - catch (const GeographicErr& e) { - cout << "Caught exception: " << e.what() << "\n"; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Geohash.cpp b/libs/GeographicLib-1.50.1/examples/example-Geohash.cpp deleted file mode 100644 index e2d350d808506a11a7234a19f4362a7211f4ed2c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Geohash.cpp +++ /dev/null @@ -1,45 +0,0 @@ -// Example of using the GeographicLib::Geohash class - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland (the wikipedia example) - string geohash; - int maxlen = Geohash::GeohashLength(1.0e-5); - for (int len = 0; len <= maxlen; ++len) { - Geohash::Forward(lat, lon, len, geohash); - cout << len << " " << geohash << "\n"; - } - } - { - // Sample reverse calculation - string geohash = "u4pruydqqvj"; - double lat, lon, latres, lonres; - cout << fixed; - for (unsigned i = 0; i <= geohash.length(); ++i) { - int len; - Geohash::Reverse(geohash.substr(0, i), lat, lon, len); - latres = Geohash::LatitudeResolution(len); - lonres = Geohash::LongitudeResolution(len); - cout << setprecision(max(0, Geohash::DecimalPrecision(len))) - << len << " " - << lat << "+/-" << latres/2 << " " - << lon << "+/-" << lonres/2 << "\n"; - } - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Geoid.cpp b/libs/GeographicLib-1.50.1/examples/example-Geoid.cpp deleted file mode 100644 index 97c44b97dfb6a16ac5c3ad2922f30fd6510ed9df..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Geoid.cpp +++ /dev/null @@ -1,27 +0,0 @@ -// Example of using the GeographicLib::Geoid class -// This requires that the egm96-5 geoid model be installed; see -// https://geographiclib.sourceforge.io/html/geoid.html#geoidinst - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Geoid egm96("egm96-5"); - // Convert height above egm96 to height above the ellipsoid - double lat = 42, lon = -75, height_above_geoid = 20; - double - geoid_height = egm96(lat, lon), - height_above_ellipsoid = (height_above_geoid + - Geoid::GEOIDTOELLIPSOID * geoid_height); - cout << height_above_ellipsoid << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Georef.cpp b/libs/GeographicLib-1.50.1/examples/example-Georef.cpp deleted file mode 100644 index acff75c0768f0529d3309d5d5813f84c33ee595b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Georef.cpp +++ /dev/null @@ -1,41 +0,0 @@ -// Example of using the GeographicLib::GARS class - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - { - // Sample forward calculation - double lat = 57.64911, lon = 10.40744; // Jutland - string georef; - for (int prec = -1; prec <= 11; ++prec) { - Georef::Forward(lat, lon, prec, georef); - cout << prec << " " << georef << "\n"; - } - } - { - // Sample reverse calculation - string georef = "NKLN2444638946"; - double lat, lon; - int prec; - cout << fixed; - Georef::Reverse(georef.substr(0, 2), lat, lon, prec); - cout << prec << " " << lat << " " << lon << "\n"; - Georef::Reverse(georef.substr(0, 4), lat, lon, prec); - cout << prec << " " << lat << " " << lon << "\n"; - Georef::Reverse(georef, lat, lon, prec); - cout << prec << " " << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Gnomonic.cpp b/libs/GeographicLib-1.50.1/examples/example-Gnomonic.cpp deleted file mode 100644 index fd6096011be8b4cbb3781a5620e8ffd6d91a3cf8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Gnomonic.cpp +++ /dev/null @@ -1,36 +0,0 @@ -// Example of using the GeographicLib::Gnomonic class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Geodesic geod(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Geodesic& geod = Geodesic::WGS84(); - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - Gnomonic proj(geod); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8; // Calais - double x, y; - proj.Forward(lat0, lon0, lat, lon, x, y); - cout << x << " " << y << "\n"; - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3; - double lat, lon; - proj.Reverse(lat0, lon0, x, y, lat, lon); - cout << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-GravityCircle.cpp b/libs/GeographicLib-1.50.1/examples/example-GravityCircle.cpp deleted file mode 100644 index 5c3231a4d19919fe06474cdd54feb7ae1aa5dd94..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-GravityCircle.cpp +++ /dev/null @@ -1,43 +0,0 @@ -// Example of using the GeographicLib::GravityCircle class -// This requires that the egm96 gravity model be installed; see -// https://geographiclib.sourceforge.io/html/gravity.html#gravityinst - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - GravityModel grav("egm96"); - double lat = 27.99, lon0 = 86.93, h = 8820; // Mt Everest - { - // Slow method of evaluating the values at several points on a circle of - // latitude. - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double gx, gy, gz; - grav.Gravity(lat, lon, h, gx, gy, gz); - cout << lon << " " << gx << " " << gy << " " << gz << "\n"; - } - } - { - // Fast method of evaluating the values at several points on a circle of - // latitude using GravityCircle. - GravityCircle circ = grav.Circle(lat, h); - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double gx, gy, gz; - circ.Gravity(lon, gx, gy, gz); - cout << lon << " " << gx << " " << gy << " " << gz << "\n"; - } - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-GravityModel.cpp b/libs/GeographicLib-1.50.1/examples/example-GravityModel.cpp deleted file mode 100644 index fba55550780f2970a442437a55fcd20e1c9d0019..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-GravityModel.cpp +++ /dev/null @@ -1,24 +0,0 @@ -// Example of using the GeographicLib::GravityModel class -// This requires that the egm96 gravity model be installed; see -// https://geographiclib.sourceforge.io/html/gravity.html#gravityinst - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - GravityModel grav("egm96"); - double lat = 27.99, lon = 86.93, h = 8820; // Mt Everest - double gx, gy, gz; - grav.Gravity(lat,lon, h, gx, gy, gz); - cout << gx << " " << gy << " " << gz << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-LambertConformalConic.cpp b/libs/GeographicLib-1.50.1/examples/example-LambertConformalConic.cpp deleted file mode 100644 index cb4c4b3c9bf13b47304a18f5a051711e695d80e5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-LambertConformalConic.cpp +++ /dev/null @@ -1,48 +0,0 @@ -// Example of using the GeographicLib::LambertConformalConic class - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - // Define the Pennsylvania South state coordinate system EPSG:3364 - // https://www.spatialreference.org/ref/epsg/3364/ - const double - a = Constants::WGS84_a(), - f = 1/298.257222101, // GRS80 - lat1 = 40 + 58/60.0, lat2 = 39 + 56/60.0, // standard parallels - k1 = 1, // scale - lat0 = 39 + 20/60.0, lon0 =-77 - 45/60.0, // origin - fe = 600000, fn = 0; // false easting and northing - // Set up basic projection - const LambertConformalConic PASouth(a, f, lat1, lat2, k1); - double x0, y0; - // Transform origin point - PASouth.Forward(lon0, lat0, lon0, x0, y0); - x0 -= fe; y0 -= fn; - { - // Sample conversion from geodetic to PASouth grid - double lat = 39.95, lon = -75.17; // Philadelphia - double x, y; - PASouth.Forward(lon0, lat, lon, x, y); - x -= x0; y -= y0; - cout << x << " " << y << "\n"; - } - { - // Sample conversion from PASouth grid to geodetic - double x = 820e3, y = 72e3; - double lat, lon; - x += x0; y += y0; - PASouth.Reverse(lon0, x, y, lat, lon); - cout << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-LocalCartesian.cpp b/libs/GeographicLib-1.50.1/examples/example-LocalCartesian.cpp deleted file mode 100644 index a24bc0c6a819919439b62b12b3a796c62a561be9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-LocalCartesian.cpp +++ /dev/null @@ -1,37 +0,0 @@ -// Example of using the GeographicLib::LocalCartesian class - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Geocentric earth(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Geocentric& earth = Geocentric::WGS84(); - const double lat0 = 48 + 50/60.0, lon0 = 2 + 20/60.0; // Paris - LocalCartesian proj(lat0, lon0, 0, earth); - { - // Sample forward calculation - double lat = 50.9, lon = 1.8, h = 0; // Calais - double x, y, z; - proj.Forward(lat, lon, h, x, y, z); - cout << x << " " << y << " " << z << "\n"; - } - { - // Sample reverse calculation - double x = -38e3, y = 230e3, z = -4e3; - double lat, lon, h; - proj.Reverse(x, y, z, lat, lon, h); - cout << lat << " " << lon << " " << h << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-MGRS.cpp b/libs/GeographicLib-1.50.1/examples/example-MGRS.cpp deleted file mode 100644 index 1aabc99cddaca1bd1d5fbc59798b0998ac77d54a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-MGRS.cpp +++ /dev/null @@ -1,42 +0,0 @@ -// Example of using the GeographicLib::MGRS class - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - // See also example-GeoCoords.cpp - { - // Sample forward calculation - double lat = 33.3, lon = 44.4; // Baghdad - int zone; - bool northp; - double x, y; - UTMUPS::Forward(lat, lon, zone, northp, x, y); - string mgrs; - MGRS::Forward(zone, northp, x, y, lat, 5, mgrs); - cout << mgrs << "\n"; - } - { - // Sample reverse calculation - string mgrs = "38SMB4488"; - int zone, prec; - bool northp; - double x, y; - MGRS::Reverse(mgrs, zone, northp, x, y, prec); - double lat, lon; - UTMUPS::Reverse(zone, northp, x, y, lat, lon); - cout << prec << " " << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-MagneticCircle.cpp b/libs/GeographicLib-1.50.1/examples/example-MagneticCircle.cpp deleted file mode 100644 index a78602c2b731139fc50bbb98230d305e46fdf23a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-MagneticCircle.cpp +++ /dev/null @@ -1,43 +0,0 @@ -// Example of using the GeographicLib::MagneticCircle class -// This requires that the wmm2010 magnetic model be installed; see -// https://geographiclib.sourceforge.io/html/magnetic.html#magneticinst - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - MagneticModel mag("wmm2010"); - double lat = 27.99, lon0 = 86.93, h = 8820, t = 2012; // Mt Everest - { - // Slow method of evaluating the values at several points on a circle of - // latitude. - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double Bx, By, Bz; - mag(t, lat, lon, h, Bx, By, Bz); - cout << lon << " " << Bx << " " << By << " " << Bz << "\n"; - } - } - { - // Fast method of evaluating the values at several points on a circle of - // latitude using MagneticCircle. - MagneticCircle circ = mag.Circle(t, lat, h); - for (int i = -5; i <= 5; ++i) { - double lon = lon0 + i * 0.2; - double Bx, By, Bz; - circ(lon, Bx, By, Bz); - cout << lon << " " << Bx << " " << By << " " << Bz << "\n"; - } - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-MagneticModel.cpp b/libs/GeographicLib-1.50.1/examples/example-MagneticModel.cpp deleted file mode 100644 index 2eeaa5f0dd40e03ed8e2cc36c216ee6aab2b4747..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-MagneticModel.cpp +++ /dev/null @@ -1,26 +0,0 @@ -// Example of using the GeographicLib::MagneticModel class -// This requires that the wmm2010 magnetic model be installed; see -// https://geographiclib.sourceforge.io/html/magnetic.html#magneticinst - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - MagneticModel mag("wmm2010"); - double lat = 27.99, lon = 86.93, h = 8820, t = 2012; // Mt Everest - double Bx, By, Bz; - mag(t, lat,lon, h, Bx, By, Bz); - double H, F, D, I; - MagneticModel::FieldComponents(Bx, By, Bz, H, F, D, I); - cout << H << " " << F << " " << D << " " << I << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Math.cpp b/libs/GeographicLib-1.50.1/examples/example-Math.cpp deleted file mode 100644 index adc2cc2ff1c2e79ca89ae582e6ec56b941796a59..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Math.cpp +++ /dev/null @@ -1,18 +0,0 @@ -// Example of using the GeographicLib::Math class - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - cout << Math::pi() << " " << Math::sq(Math::pi()) << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-NearestNeighbor.cpp b/libs/GeographicLib-1.50.1/examples/example-NearestNeighbor.cpp deleted file mode 100644 index 4ed02e3ad2148ce2b4c075cfeb06a40f4d8e08ba..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-NearestNeighbor.cpp +++ /dev/null @@ -1,140 +0,0 @@ -// Example of using the GeographicLib::NearestNeighbor class. WARNING: this -// creates a file, pointset.xml or pointset.txt, in the current directory. -// Read lat/lon locations from locations.txt and lat/lon queries from -// queries.txt. For each query print to standard output: the index for the -// closest location and the distance to it. Print statistics to standard error -// at the end. - -#include -#include -#include -#include -#include - -#if !defined(GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION) -#define GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION 0 -#endif - -#if GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION -// If Boost serialization is available, use it. -#include -#include -#endif - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -// A structure to hold a geographic coordinate. -struct pos { - double _lat, _lon; - pos(double lat = 0, double lon = 0) : _lat(lat), _lon(lon) {} -}; - -// A class to compute the distance between 2 positions. -class DistanceCalculator { -private: - Geodesic _geod; -public: - explicit DistanceCalculator(const Geodesic& geod) : _geod(geod) {} - double operator() (const pos& a, const pos& b) const { - double d; - _geod.Inverse(a._lat, a._lon, b._lat, b._lon, d); - if ( !(d >= 0) ) - // Catch illegal positions which result in d = NaN - throw GeographicErr("distance doesn't satisfy d >= 0"); - return d; - } -}; - -int main() { - try { - // Read in locations - vector locs; - double lat, lon; - string sa, sb; - { - ifstream is("locations.txt"); - if (!is.good()) - throw GeographicErr("locations.txt not readable"); - while (is >> sa >> sb) { - DMS::DecodeLatLon(sa, sb, lat, lon); - locs.push_back(pos(lat, lon)); - } - if (locs.size() == 0) - throw GeographicErr("need at least one location"); - } - - // Define a distance function object - DistanceCalculator distance(Geodesic::WGS84()); - - // Create NearestNeighbor object - NearestNeighbor pointset; - - { - // Used saved object if it is available -#if GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION - ifstream is("pointset.xml"); - if (is.good()) { - boost::archive::xml_iarchive ia(is); - ia >> BOOST_SERIALIZATION_NVP(pointset); - } -#else - ifstream is("pointset.txt"); - if (is.good()) - is >> pointset; -#endif - } - // Is the saved pointset up-to-date? - if (pointset.NumPoints() != int(locs.size())) { - // else initialize it - pointset.Initialize(locs, distance); - // and save it -#if GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION - ofstream os("pointset.xml"); - if (!os.good()) - throw GeographicErr("cannot write to pointset.xml"); - boost::archive::xml_oarchive oa(os); - oa << BOOST_SERIALIZATION_NVP(pointset); -#else - ofstream os("pointset.txt"); - if (!os.good()) - throw GeographicErr("cannot write to pointset.txt"); - os << pointset << "\n"; -#endif - } - - ifstream is("queries.txt"); - double d; - int count = 0; - vector k; - while (is >> sa >> sb) { - ++count; - DMS::DecodeLatLon(sa, sb, lat, lon); - d = pointset.Search(locs, distance, pos(lat, lon), k); - if (k.size() != 1) - throw GeographicErr("unexpected number of results"); - cout << k[0] << " " << d << "\n"; - } - int setupcost, numsearches, searchcost, mincost, maxcost; - double mean, sd; - pointset.Statistics(setupcost, numsearches, searchcost, - mincost, maxcost, mean, sd); - int - totcost = setupcost + searchcost, - exhaustivecost = count * pointset.NumPoints(); - cerr - << "Number of distance calculations = " << totcost << "\n" - << "With an exhaustive search = " << exhaustivecost << "\n" - << "Ratio = " << double(totcost) / exhaustivecost << "\n" - << "Efficiency improvement = " - << 100 * (1 - double(totcost) / exhaustivecost) << "%\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-NormalGravity.cpp b/libs/GeographicLib-1.50.1/examples/example-NormalGravity.cpp deleted file mode 100644 index 4d77ddc0f5adee278506e66acdf005eca34f43ff..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-NormalGravity.cpp +++ /dev/null @@ -1,25 +0,0 @@ -// Example of using the GeographicLib::NormalGravity class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - NormalGravity grav(Constants::WGS84_a(), Constants::WGS84_GM(), - Constants::WGS84_omega(), Constants::WGS84_f()); - // Alternatively: const NormalGravity& grav = NormalGravity::WGS84(); - double lat = 27.99, h = 8820; // Mt Everest - double gammay, gammaz; - grav.Gravity(lat, h, gammay, gammaz); - cout << gammay << " " << gammaz << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-OSGB.cpp b/libs/GeographicLib-1.50.1/examples/example-OSGB.cpp deleted file mode 100644 index 2ced1e92a949443161ac10ed94754533c931e092..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-OSGB.cpp +++ /dev/null @@ -1,44 +0,0 @@ -// Example of using the GeographicLib::OSGB class - -#include -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - { - // Sample forward calculation from - // A guide to coordinate systems in Great Britain - double - lat = DMS::Decode(52,39,27.2531), - lon = DMS::Decode( 1,43, 4.5177); - double x, y; - OSGB::Forward(lat, lon, x, y); - string gridref; - OSGB::GridReference(x, y, 2, gridref); - cout << fixed << setprecision(3) - << x << " " << y << " " << gridref << "\n"; - } - { - // Sample reverse calculation - string gridref = "TG5113"; - double x, y; - int prec; - OSGB::GridReference(gridref, x, y, prec); - double lat, lon; - OSGB::Reverse(x, y, lat, lon); - cout << fixed << setprecision(8) - << prec << " " << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-PolarStereographic.cpp b/libs/GeographicLib-1.50.1/examples/example-PolarStereographic.cpp deleted file mode 100644 index d8d2d0da9be71026bf2cacea03ed487294256345..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-PolarStereographic.cpp +++ /dev/null @@ -1,37 +0,0 @@ -// Example of using the GeographicLib::PolarStereographic class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - PolarStereographic proj(Constants::WGS84_a(), Constants::WGS84_f(), - Constants::UPS_k0()); - // Alternatively: - // const PolarStereographic& proj = PolarStereographic::UPS(); - bool northp = true; - { - // Sample forward calculation - double lat = 61.2, lon = -149.9; // Anchorage - double x, y; - proj.Forward(northp, lat, lon, x, y); - cout << x << " " << y << "\n"; - } - { - // Sample reverse calculation - double x = -1637e3, y = 2824e3; - double lat, lon; - proj.Reverse(northp, x, y, lat, lon); - cout << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-PolygonArea.cpp b/libs/GeographicLib-1.50.1/examples/example-PolygonArea.cpp deleted file mode 100644 index f59089332451630fcbdc29ef4444ffc82592153f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-PolygonArea.cpp +++ /dev/null @@ -1,40 +0,0 @@ -// Example of using the GeographicLib::PolygonArea class - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Geodesic geod(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Geodesic& geod = Geodesic::WGS84(); - PolygonArea poly(geod); - poly.AddPoint( 52, 0); // London - poly.AddPoint( 41,-74); // New York - poly.AddPoint(-23,-43); // Rio de Janeiro - poly.AddPoint(-26, 28); // Johannesburg - double perimeter, area; - unsigned n = poly.Compute(false, true, perimeter, area); - cout << n << " " << perimeter << " " << area << "\n"; - // This adds a test for a bug fix for AddEdge. (Implements the - // Planimeter29 test in geodtest.c.) - PolygonArea poly1(geod); - poly1.AddPoint(0,0); - poly1.AddEdge(90,1000); - poly1.AddEdge(0,1000); - poly1.AddEdge(-90,1000); - n = poly1.Compute(false, true, perimeter, area); - // The area should be 1e6. Prior to the fix it was 1e6 - A/2, where - // A = ellipsoid area. - cout << n << " " << perimeter << " " << area << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Rhumb.cpp b/libs/GeographicLib-1.50.1/examples/example-Rhumb.cpp deleted file mode 100644 index d89d0ca32d6fece14c01c9c46c002b9a2ab27b59..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Rhumb.cpp +++ /dev/null @@ -1,36 +0,0 @@ -// Example of using the GeographicLib::Rhumb class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Rhumb rhumb(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Rhumb& rhumb = Rhumb::WGS84(); - { - // Sample direct calculation, travelling about NE from JFK - double lat1 = 40.6, lon1 = -73.8, s12 = 5.5e6, azi12 = 51; - double lat2, lon2; - rhumb.Direct(lat1, lon1, azi12, s12, lat2, lon2); - cout << lat2 << " " << lon2 << "\n"; - } - { - // Sample inverse calculation, JFK to LHR - double - lat1 = 40.6, lon1 = -73.8, // JFK Airport - lat2 = 51.6, lon2 = -0.5; // LHR Airport - double s12, azi12; - rhumb.Inverse(lat1, lon1, lat2, lon2, s12, azi12); - cout << s12 << " " << azi12 << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-RhumbLine.cpp b/libs/GeographicLib-1.50.1/examples/example-RhumbLine.cpp deleted file mode 100644 index 4b9c1a4c4fc512e7ce550f1926e3720243a3c842..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-RhumbLine.cpp +++ /dev/null @@ -1,43 +0,0 @@ -// Example of using the GeographicLib::RhumbLine class - -#include -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - // Print waypoints between JFK and SIN - Rhumb rhumb(Constants::WGS84_a(), Constants::WGS84_f()); - // Alternatively: const Rhumb& rhumb = Rhumb::WGS84(); - double - lat1 = 40.640, lon1 = -73.779, // JFK - lat2 = 1.359, lon2 = 103.989; // SIN - double s12, azi12; - rhumb.Inverse(lat1, lon1, lat2, lon2, s12, azi12); - const GeographicLib::RhumbLine line = rhumb.Line(lat1, lon1, azi12); - // Alternatively - // const GeographicLib::RhumbLine line = rhumb.Line(lat1, lon1, azi1); - double ds0 = 500e3; // Nominal distance between points = 500 km - int num = int(ceil(s12 / ds0)); // The number of intervals - cout << fixed << setprecision(3); - { - // Use intervals of equal length - double ds = s12 / num; - for (int i = 0; i <= num; ++i) { - double lat, lon; - line.Position(i * ds, lat, lon); - cout << i << " " << lat << " " << lon << "\n"; - } - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-SphericalEngine.cpp b/libs/GeographicLib-1.50.1/examples/example-SphericalEngine.cpp deleted file mode 100644 index d8e7ae9f31121d263a13ac0c394bd8d3b45a97c1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-SphericalEngine.cpp +++ /dev/null @@ -1,32 +0,0 @@ -// Example of using the GeographicLib::SphericalEngine class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - // See also example-SphericHarmonic.cpp - try { - int N = 3; // The maxium degree - double ca[] = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - vector C(ca, ca + (N + 1) * (N + 2) / 2); - double sa[] = {6, 5, 4, 3, 2, 1}; // sine coefficients - vector S(sa, sa + N * (N + 1) / 2); - SphericalEngine::coeff c[1]; - c[0] = SphericalEngine::coeff(C, S, N); - double f[] = {1}; - double x = 2, y = 3, z = 1, a = 1; - double v, vx, vy, vz; - v = SphericalEngine::Value - (c, f, x, y, z, a, vx, vy, vz); - cout << v << " " << vx << " " << vy << " " << vz << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic.cpp b/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic.cpp deleted file mode 100644 index 82c10df6029d320d42aa0c400468b8071e09fe54..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic.cpp +++ /dev/null @@ -1,29 +0,0 @@ -// Example of using the GeographicLib::SphericalHarmonic class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - int N = 3; // The maxium degree - double ca[] = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - vector C(ca, ca + (N + 1) * (N + 2) / 2); - double sa[] = {6, 5, 4, 3, 2, 1}; // sine coefficients - vector S(sa, sa + N * (N + 1) / 2); - double a = 1; - SphericalHarmonic h(C, S, N, a); - double x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h(x, y, z, vx, vy, vz); - cout << v << " " << vx << " " << vy << " " << vz << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic1.cpp b/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic1.cpp deleted file mode 100644 index f02fcd3972c84c93562a0e1d21ab7d15950d5863..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic1.cpp +++ /dev/null @@ -1,33 +0,0 @@ -// Example of using the GeographicLib::SphericalHarmonic1 class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - int N = 3, N1 = 2; // The maxium degrees - double ca[] = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - vector C(ca, ca + (N + 1) * (N + 2) / 2); - double sa[] = {6, 5, 4, 3, 2, 1}; // sine coefficients - vector S(sa, sa + N * (N + 1) / 2); - double cb[] = {1, 2, 3, 4, 5, 6}; - vector C1(cb, cb + (N1 + 1) * (N1 + 2) / 2); - double sb[] = {3, 2, 1}; - vector S1(sb, sb + N1 * (N1 + 1) / 2); - double a = 1; - SphericalHarmonic1 h(C, S, N, C1, S1, N1, a); - double tau = 0.1, x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h(tau, x, y, z, vx, vy, vz); - cout << v << " " << vx << " " << vy << " " << vz << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic2.cpp b/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic2.cpp deleted file mode 100644 index 696cfc13d7472962c00e0f343ce796a0cd9faa04..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-SphericalHarmonic2.cpp +++ /dev/null @@ -1,37 +0,0 @@ -// Example of using the GeographicLib::SphericalHarmonic2 class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - int N = 3, N1 = 2, N2 = 1; // The maxium degrees - double ca[] = {10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; // cosine coefficients - vector C(ca, ca + (N + 1) * (N + 2) / 2); - double sa[] = {6, 5, 4, 3, 2, 1}; // sine coefficients - vector S(sa, sa + N * (N + 1) / 2); - double cb[] = {1, 2, 3, 4, 5, 6}; - vector C1(cb, cb + (N1 + 1) * (N1 + 2) / 2); - double sb[] = {3, 2, 1}; - vector S1(sb, sb + N1 * (N1 + 1) / 2); - double cc[] = {2, 1}; - vector C2(cc, cc + (N2 + 1)); - vector S2; - double a = 1; - SphericalHarmonic2 h(C, S, N, N, N, C1, S1, N1, N1, N1, - C2, S2, N2, N2, 0, a); - double tau1 = 0.1, tau2 = 0.05, x = 2, y = 3, z = 1; - double v, vx, vy, vz; - v = h(tau1, tau2, x, y, z, vx, vy, vz); - cout << v << " " << vx << " " << vy << " " << vz << "\n"; - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-TransverseMercator.cpp b/libs/GeographicLib-1.50.1/examples/example-TransverseMercator.cpp deleted file mode 100644 index ae5dadf96b71c2603a49f109036df0c17c5903ca..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-TransverseMercator.cpp +++ /dev/null @@ -1,63 +0,0 @@ -// Example of using the GeographicLib::TransverseMercator class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -// Define a UTM projection for an arbitrary ellipsoid -class UTMalt { -private: - TransverseMercator _tm; // The projection - double _lon0; // Central longitude - double _falseeasting, _falsenorthing; -public: - UTMalt(double a, // equatorial radius - double f, // flattening - int zone, // the UTM zone + hemisphere - bool northp) - : _tm(a, f, Constants::UTM_k0()) - , _lon0(6 * zone - 183) - , _falseeasting(5e5) - , _falsenorthing(northp ? 0 : 100e5) { - if (!(zone >= 1 && zone <= 60)) - throw GeographicErr("zone not in [1,60]"); - } - void Forward(double lat, double lon, double& x, double& y) { - _tm.Forward(_lon0, lat, lon, x, y); - x += _falseeasting; - y += _falsenorthing; - } - void Reverse(double x, double y, double& lat, double& lon) { - x -= _falseeasting; - y -= _falsenorthing; - _tm.Reverse(_lon0, x, y, lat, lon); - } -}; - -int main() { - try { - UTMalt tm(6378388, 1/297.0, 30, true); // International ellipsoid, zone 30n - { - // Sample forward calculation - double lat = 40.4, lon = -3.7; // Madrid - double x, y; - tm.Forward(lat, lon, x, y); - cout << fixed << setprecision(0) << x << " " << y << "\n"; - } - { - // Sample reverse calculation - double x = 441e3, y = 4472e3; - double lat, lon; - tm.Reverse(x, y, lat, lon); - cout << fixed << setprecision(5) << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-TransverseMercatorExact.cpp b/libs/GeographicLib-1.50.1/examples/example-TransverseMercatorExact.cpp deleted file mode 100644 index 8f38ddb8253811be7304e68ab207b5b935837a05..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-TransverseMercatorExact.cpp +++ /dev/null @@ -1,37 +0,0 @@ -// Example of using the GeographicLib::TransverseMercatorExact class - -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - TransverseMercatorExact proj(Constants::WGS84_a(), Constants::WGS84_f(), - Constants::UTM_k0()); - // Alternatively: - // const TransverseMercatorExact& proj = TransverseMercatorExact::UTM(); - double lon0 = -75; // Central meridian for UTM zone 18 - { - // Sample forward calculation - double lat = 40.3, lon = -74.7; // Princeton, NJ - double x, y; - proj.Forward(lon0, lat, lon, x, y); - cout << x << " " << y << "\n"; - } - { - // Sample reverse calculation - double x = 25e3, y = 4461e3; - double lat, lon; - proj.Reverse(lon0, x, y, lat, lon); - cout << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-UTMUPS.cpp b/libs/GeographicLib-1.50.1/examples/example-UTMUPS.cpp deleted file mode 100644 index 2038250b2b3c96f61030d2fc911c9cf6af5e4f5c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-UTMUPS.cpp +++ /dev/null @@ -1,42 +0,0 @@ -// Example of using the GeographicLib::UTMUPS class - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - // See also example-GeoCoords.cpp - { - // Sample forward calculation - double lat = 33.3, lon = 44.4; // Baghdad - int zone; - bool northp; - double x, y; - UTMUPS::Forward(lat, lon, zone, northp, x, y); - string zonestr = UTMUPS::EncodeZone(zone, northp); - cout << fixed << setprecision(2) - << zonestr << " " << x << " " << y << "\n"; - } - { - // Sample reverse calculation - string zonestr = "38n"; - int zone; - bool northp; - UTMUPS::DecodeZone(zonestr, zone, northp); - double x = 444e3, y = 3688e3; - double lat, lon; - UTMUPS::Reverse(zone, northp, x, y, lat, lon); - cout << lat << " " << lon << "\n"; - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/example-Utility.cpp b/libs/GeographicLib-1.50.1/examples/example-Utility.cpp deleted file mode 100644 index bcf4c9c6819e3e5253d15d529afb177bc3596428..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/example-Utility.cpp +++ /dev/null @@ -1,21 +0,0 @@ -// Example of using the GeographicLib::Utility class - -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - int - d1 = Utility::day(1939, 9, 3), // Britain declares war on Germany - d2 = Utility::day(1945, 8, 15); // Japan surrenders - cout << d2 - d1 << "\n"; // Length of Second World War for Britain - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/examples/make-egmcof.cpp b/libs/GeographicLib-1.50.1/examples/make-egmcof.cpp deleted file mode 100644 index aad903601a21f1f74dface98dd9b2b51d347f28b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/examples/make-egmcof.cpp +++ /dev/null @@ -1,45 +0,0 @@ -// Write the coefficient files needed for approximating the normal gravity -// field with a GravityModel. WARNING: this creates files, wgs84.egm.cof and -// grs80.egm.cof, in the current directory. - -#include -#include -#include -#include -#include - -using namespace std; -using namespace GeographicLib; - -int main() { - try { - Utility::set_digits(); - const char* filenames[] = {"wgs84.egm.cof", "grs80.egm.cof"}; - const char* ids[] = {"WGS1984A", "GRS1980A"}; - for (int grs80 = 0; grs80 < 2; ++grs80) { - ofstream file(filenames[grs80], ios::binary); - Utility::writearray(file, ids[grs80], 8); - const int N = 20, M = 0, - cnum = (M + 1) * (2 * N - M + 2) / 2; // cnum = N + 1 - vector num(2); - num[0] = N; num[1] = M; - Utility::writearray(file, num); - vector c(cnum, 0); - const NormalGravity& earth(grs80 ? NormalGravity::GRS80() : - NormalGravity::WGS84()); - for (int n = 2; n <= N; n += 2) - c[n] = - earth.DynamicalFormFactor(n) / sqrt(Math::real(2*n + 1)); - Utility::writearray(file, c); - num[0] = num[1] = -1; - Utility::writearray(file, num); - } - } - catch (const exception& e) { - cerr << "Caught exception: " << e.what() << "\n"; - return 1; - } - catch (...) { - cerr << "Caught unknown exception\n"; - return 1; - } -} diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Accumulator.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Accumulator.hpp deleted file mode 100644 index 0c61c058fb82154d3ee1b0061bf041829fdb9ec7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Accumulator.hpp +++ /dev/null @@ -1,196 +0,0 @@ -/** - * \file Accumulator.hpp - * \brief Header for GeographicLib::Accumulator class - * - * Copyright (c) Charles Karney (2010-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_ACCUMULATOR_HPP) -#define GEOGRAPHICLIB_ACCUMULATOR_HPP 1 - -#include - -namespace GeographicLib { - - /** - * \brief An accumulator for sums - * - * This allows many numbers of floating point type \e T to be added together - * with twice the normal precision. Thus if \e T is double, the effective - * precision of the sum is 106 bits or about 32 decimal places. - * - * The implementation follows J. R. Shewchuk, - * Adaptive Precision - * Floating-Point Arithmetic and Fast Robust Geometric Predicates, - * Discrete & Computational Geometry 18(3) 305--363 (1997). - * - * Approximate timings (summing a vector) - * - double: 2ns - * - Accumulator: 23ns - * - * In the documentation of the member functions, \e sum stands for the value - * currently held in the accumulator. - * - * Example of use: - * \include example-Accumulator.cpp - **********************************************************************/ - template - class GEOGRAPHICLIB_EXPORT Accumulator { - private: - // _s + _t accumulators for the sum. - T _s, _t; - // Same as Math::sum, but requires abs(u) >= abs(v). This isn't currently - // used. - static T fastsum(T u, T v, T& t) { - GEOGRAPHICLIB_VOLATILE T s = u + v; - GEOGRAPHICLIB_VOLATILE T vp = s - u; - t = v - vp; - return s; - } - void Add(T y) { - // Here's Shewchuk's solution... - T u; // hold exact sum as [s, t, u] - // Accumulate starting at least significant end - y = Math::sum(y, _t, u); - _s = Math::sum(y, _s, _t); - // Start is _s, _t decreasing and non-adjacent. Sum is now (s + t + u) - // exactly with s, t, u non-adjacent and in decreasing order (except for - // possible zeros). The following code tries to normalize the result. - // Ideally, we want _s = round(s+t+u) and _u = round(s+t+u - _s). The - // following does an approximate job (and maintains the decreasing - // non-adjacent property). Here are two "failures" using 3-bit floats: - // - // Case 1: _s is not equal to round(s+t+u) -- off by 1 ulp - // [12, -1] - 8 -> [4, 0, -1] -> [4, -1] = 3 should be [3, 0] = 3 - // - // Case 2: _s+_t is not as close to s+t+u as it shold be - // [64, 5] + 4 -> [64, 8, 1] -> [64, 8] = 72 (off by 1) - // should be [80, -7] = 73 (exact) - // - // "Fixing" these problems is probably not worth the expense. The - // representation inevitably leads to small errors in the accumulated - // values. The additional errors illustrated here amount to 1 ulp of the - // less significant word during each addition to the Accumulator and an - // additional possible error of 1 ulp in the reported sum. - // - // Incidentally, the "ideal" representation described above is not - // canonical, because _s = round(_s + _t) may not be true. For example, - // with 3-bit floats: - // - // [128, 16] + 1 -> [160, -16] -- 160 = round(145). - // But [160, 0] - 16 -> [128, 16] -- 128 = round(144). - // - if (_s == 0) // This implies t == 0, - _s = u; // so result is u - else - _t += u; // otherwise just accumulate u to t. - } - T Sum(T y) const { - Accumulator a(*this); - a.Add(y); - return a._s; - } - public: - /** - * Construct from a \e T. This is not declared explicit, so that you can - * write Accumulator a = 5;. - * - * @param[in] y set \e sum = \e y. - **********************************************************************/ - Accumulator(T y = T(0)) : _s(y), _t(0) { - GEOGRAPHICLIB_STATIC_ASSERT(!std::numeric_limits::is_integer, - "Accumulator type is not floating point"); - } - /** - * Set the accumulator to a number. - * - * @param[in] y set \e sum = \e y. - **********************************************************************/ - Accumulator& operator=(T y) { _s = y; _t = 0; return *this; } - /** - * Return the value held in the accumulator. - * - * @return \e sum. - **********************************************************************/ - T operator()() const { return _s; } - /** - * Return the result of adding a number to \e sum (but don't change \e - * sum). - * - * @param[in] y the number to be added to the sum. - * @return \e sum + \e y. - **********************************************************************/ - T operator()(T y) const { return Sum(y); } - /** - * Add a number to the accumulator. - * - * @param[in] y set \e sum += \e y. - **********************************************************************/ - Accumulator& operator+=(T y) { Add(y); return *this; } - /** - * Subtract a number from the accumulator. - * - * @param[in] y set \e sum -= \e y. - **********************************************************************/ - Accumulator& operator-=(T y) { Add(-y); return *this; } - /** - * Multiply accumulator by an integer. To avoid loss of accuracy, use only - * integers such that \e n × \e T is exactly representable as a \e T - * (i.e., ± powers of two). Use \e n = −1 to negate \e sum. - * - * @param[in] n set \e sum *= \e n. - **********************************************************************/ - Accumulator& operator*=(int n) { _s *= n; _t *= n; return *this; } - /** - * Multiply accumulator by a number. The fma (fused multiply and add) - * instruction is used (if available) in order to maintain accuracy. - * - * @param[in] y set \e sum *= \e y. - **********************************************************************/ - Accumulator& operator*=(T y) { - T d = _s; _s *= y; - d = Math::fma(y, d, -_s); // the error in the first multiplication - _t = Math::fma(y, _t, d); // add error to the second term - return *this; - } - /** - * Reduce accumulator to the range [-y/2, y/2]. - * - * @param[in] y the modulus. - **********************************************************************/ - Accumulator& remainder(T y) { - _s = Math::remainder(_s, y); - Add(0); // This renormalizes the result. - return *this; - } - /** - * Test equality of an Accumulator with a number. - **********************************************************************/ - bool operator==(T y) const { return _s == y; } - /** - * Test inequality of an Accumulator with a number. - **********************************************************************/ - bool operator!=(T y) const { return _s != y; } - /** - * Less operator on an Accumulator and a number. - **********************************************************************/ - bool operator<(T y) const { return _s < y; } - /** - * Less or equal operator on an Accumulator and a number. - **********************************************************************/ - bool operator<=(T y) const { return _s <= y; } - /** - * Greater operator on an Accumulator and a number. - **********************************************************************/ - bool operator>(T y) const { return _s > y; } - /** - * Greater or equal operator on an Accumulator and a number. - **********************************************************************/ - bool operator>=(T y) const { return _s >= y; } - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_ACCUMULATOR_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/AlbersEqualArea.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/AlbersEqualArea.hpp deleted file mode 100644 index 259e5ddcea6c71a1d02be73c16eaff83ffb06c18..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/AlbersEqualArea.hpp +++ /dev/null @@ -1,318 +0,0 @@ -/** - * \file AlbersEqualArea.hpp - * \brief Header for GeographicLib::AlbersEqualArea class - * - * Copyright (c) Charles Karney (2010-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_ALBERSEQUALAREA_HPP) -#define GEOGRAPHICLIB_ALBERSEQUALAREA_HPP 1 - -#include - -namespace GeographicLib { - - /** - * \brief Albers equal area conic projection - * - * Implementation taken from the report, - * - J. P. Snyder, - * Map Projections: A - * Working Manual, USGS Professional Paper 1395 (1987), - * pp. 101--102. - * - * This is a implementation of the equations in Snyder except that divided - * differences will be [have been] used to transform the expressions into - * ones which may be evaluated accurately. [In this implementation, the - * projection correctly becomes the cylindrical equal area or the azimuthal - * equal area projection when the standard latitude is the equator or a - * pole.] - * - * The ellipsoid parameters, the standard parallels, and the scale on the - * standard parallels are set in the constructor. Internally, the case with - * two standard parallels is converted into a single standard parallel, the - * latitude of minimum azimuthal scale, with an azimuthal scale specified on - * this parallel. This latitude is also used as the latitude of origin which - * is returned by AlbersEqualArea::OriginLatitude. The azimuthal scale on - * the latitude of origin is given by AlbersEqualArea::CentralScale. The - * case with two standard parallels at opposite poles is singular and is - * disallowed. The central meridian (which is a trivial shift of the - * longitude) is specified as the \e lon0 argument of the - * AlbersEqualArea::Forward and AlbersEqualArea::Reverse functions. - * AlbersEqualArea::Forward and AlbersEqualArea::Reverse also return the - * meridian convergence, γ, and azimuthal scale, \e k. A small square - * aligned with the cardinal directions is projected to a rectangle with - * dimensions \e k (in the E-W direction) and 1/\e k (in the N-S direction). - * The E-W sides of the rectangle are oriented γ degrees - * counter-clockwise from the \e x axis. There is no provision in this class - * for specifying a false easting or false northing or a different latitude - * of origin. - * - * Example of use: - * \include example-AlbersEqualArea.cpp - * - * ConicProj is a command-line utility - * providing access to the functionality of LambertConformalConic and - * AlbersEqualArea. - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT AlbersEqualArea { - private: - typedef Math::real real; - real eps_, epsx_, epsx2_, tol_, tol0_; - real _a, _f, _fm, _e2, _e, _e2m, _qZ, _qx; - real _sign, _lat0, _k0; - real _n0, _m02, _nrho0, _k2, _txi0, _scxi0, _sxi0; - static const int numit_ = 5; // Newton iterations in Reverse - static const int numit0_ = 20; // Newton iterations in Init - static real hyp(real x) { return Math::hypot(real(1), x); } - // atanh( e * x)/ e if f > 0 - // atan (sqrt(-e2) * x)/sqrt(-e2) if f < 0 - // x if f = 0 - real atanhee(real x) const { - using std::atan2; using std::abs; - return _f > 0 ? Math::atanh(_e * x)/_e : - // We only invoke atanhee in txif for positive latitude. Then x is - // only negative for very prolate ellipsoids (_b/_a >= sqrt(2)) and we - // still need to return a positive result in this case; hence the need - // for the call to atan2. - (_f < 0 ? (atan2(_e * abs(x), real(x < 0 ? -1 : 1))/_e) : x); - } - // return atanh(sqrt(x))/sqrt(x) - 1, accurate for small x - static real atanhxm1(real x); - - // Divided differences - // Definition: Df(x,y) = (f(x)-f(y))/(x-y) - // See: - // W. M. Kahan and R. J. Fateman, - // Symbolic computation of divided differences, - // SIGSAM Bull. 33(3), 7-28 (1999) - // https://doi.org/10.1145/334714.334716 - // http://www.cs.berkeley.edu/~fateman/papers/divdiff.pdf - // - // General rules - // h(x) = f(g(x)): Dh(x,y) = Df(g(x),g(y))*Dg(x,y) - // h(x) = f(x)*g(x): - // Dh(x,y) = Df(x,y)*g(x) + Dg(x,y)*f(y) - // = Df(x,y)*g(y) + Dg(x,y)*f(x) - // = Df(x,y)*(g(x)+g(y))/2 + Dg(x,y)*(f(x)+f(y))/2 - // - // sn(x) = x/sqrt(1+x^2): Dsn(x,y) = (x+y)/((sn(x)+sn(y))*(1+x^2)*(1+y^2)) - static real Dsn(real x, real y, real sx, real sy) { - // sx = x/hyp(x) - real t = x * y; - return t > 0 ? (x + y) * Math::sq( (sx * sy)/t ) / (sx + sy) : - (x - y != 0 ? (sx - sy) / (x - y) : 1); - } - // Datanhee(x,y) = atanhee((x-y)/(1-e^2*x*y))/(x-y) - real Datanhee(real x, real y) const { - real t = x - y, d = 1 - _e2 * x * y; - return t != 0 ? atanhee(t / d) / t : 1 / d; - } - // DDatanhee(x,y) = (Datanhee(1,y) - Datanhee(1,x))/(y-x) - real DDatanhee(real x, real y) const; - void Init(real sphi1, real cphi1, real sphi2, real cphi2, real k1); - real txif(real tphi) const; - real tphif(real txi) const; - - friend class Ellipsoid; // For access to txif, tphif, etc. - public: - - /** - * Constructor with a single standard parallel. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] stdlat standard parallel (degrees), the circle of tangency. - * @param[in] k0 azimuthal scale on the standard parallel. - * @exception GeographicErr if \e a, (1 − \e f) \e a, or \e k0 is - * not positive. - * @exception GeographicErr if \e stdlat is not in [−90°, - * 90°]. - **********************************************************************/ - AlbersEqualArea(real a, real f, real stdlat, real k0); - - /** - * Constructor with two standard parallels. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] stdlat1 first standard parallel (degrees). - * @param[in] stdlat2 second standard parallel (degrees). - * @param[in] k1 azimuthal scale on the standard parallels. - * @exception GeographicErr if \e a, (1 − \e f) \e a, or \e k1 is - * not positive. - * @exception GeographicErr if \e stdlat1 or \e stdlat2 is not in - * [−90°, 90°], or if \e stdlat1 and \e stdlat2 are - * opposite poles. - **********************************************************************/ - AlbersEqualArea(real a, real f, real stdlat1, real stdlat2, real k1); - - /** - * Constructor with two standard parallels specified by sines and cosines. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] sinlat1 sine of first standard parallel. - * @param[in] coslat1 cosine of first standard parallel. - * @param[in] sinlat2 sine of second standard parallel. - * @param[in] coslat2 cosine of second standard parallel. - * @param[in] k1 azimuthal scale on the standard parallels. - * @exception GeographicErr if \e a, (1 − \e f) \e a, or \e k1 is - * not positive. - * @exception GeographicErr if \e stdlat1 or \e stdlat2 is not in - * [−90°, 90°], or if \e stdlat1 and \e stdlat2 are - * opposite poles. - * - * This allows parallels close to the poles to be specified accurately. - * This routine computes the latitude of origin and the azimuthal scale at - * this latitude. If \e dlat = abs(\e lat2 − \e lat1) ≤ 160°, - * then the error in the latitude of origin is less than 4.5 × - * 10−14d;. - **********************************************************************/ - AlbersEqualArea(real a, real f, - real sinlat1, real coslat1, - real sinlat2, real coslat2, - real k1); - - /** - * Set the azimuthal scale for the projection. - * - * @param[in] lat (degrees). - * @param[in] k azimuthal scale at latitude \e lat (default 1). - * @exception GeographicErr \e k is not positive. - * @exception GeographicErr if \e lat is not in (−90°, - * 90°). - * - * This allows a "latitude of conformality" to be specified. - **********************************************************************/ - void SetScale(real lat, real k = real(1)); - - /** - * Forward projection, from geographic to Lambert conformal conic. - * - * @param[in] lon0 central meridian longitude (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k azimuthal scale of projection at point; the radial - * scale is the 1/\e k. - * - * The latitude origin is given by AlbersEqualArea::LatitudeOrigin(). No - * false easting or northing is added and \e lat should be in the range - * [−90°, 90°]. The values of \e x and \e y returned for - * points which project to infinity (i.e., one or both of the poles) will - * be large but finite. - **********************************************************************/ - void Forward(real lon0, real lat, real lon, - real& x, real& y, real& gamma, real& k) const; - - /** - * Reverse projection, from Lambert conformal conic to geographic. - * - * @param[in] lon0 central meridian longitude (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k azimuthal scale of projection at point; the radial - * scale is the 1/\e k. - * - * The latitude origin is given by AlbersEqualArea::LatitudeOrigin(). No - * false easting or northing is added. The value of \e lon returned is in - * the range [−180°, 180°]. The value of \e lat returned is - * in the range [−90°, 90°]. If the input point is outside - * the legal projected space the nearest pole is returned. - **********************************************************************/ - void Reverse(real lon0, real x, real y, - real& lat, real& lon, real& gamma, real& k) const; - - /** - * AlbersEqualArea::Forward without returning the convergence and - * scale. - **********************************************************************/ - void Forward(real lon0, real lat, real lon, - real& x, real& y) const { - real gamma, k; - Forward(lon0, lat, lon, x, y, gamma, k); - } - - /** - * AlbersEqualArea::Reverse without returning the convergence and - * scale. - **********************************************************************/ - void Reverse(real lon0, real x, real y, - real& lat, real& lon) const { - real gamma, k; - Reverse(lon0, x, y, lat, lon, gamma, k); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _a; } - - /** - * @return \e f the flattening of the ellipsoid. This is the value used in - * the constructor. - **********************************************************************/ - Math::real Flattening() const { return _f; } - - /** - * @return latitude of the origin for the projection (degrees). - * - * This is the latitude of minimum azimuthal scale and equals the \e stdlat - * in the 1-parallel constructor and lies between \e stdlat1 and \e stdlat2 - * in the 2-parallel constructors. - **********************************************************************/ - Math::real OriginLatitude() const { return _lat0; } - - /** - * @return central scale for the projection. This is the azimuthal scale - * on the latitude of origin. - **********************************************************************/ - Math::real CentralScale() const { return _k0; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of AlbersEqualArea with the WGS84 ellipsoid, \e - * stdlat = 0, and \e k0 = 1. This degenerates to the cylindrical equal - * area projection. - **********************************************************************/ - static const AlbersEqualArea& CylindricalEqualArea(); - - /** - * A global instantiation of AlbersEqualArea with the WGS84 ellipsoid, \e - * stdlat = 90°, and \e k0 = 1. This degenerates to the - * Lambert azimuthal equal area projection. - **********************************************************************/ - static const AlbersEqualArea& AzimuthalEqualAreaNorth(); - - /** - * A global instantiation of AlbersEqualArea with the WGS84 ellipsoid, \e - * stdlat = −90°, and \e k0 = 1. This degenerates to the - * Lambert azimuthal equal area projection. - **********************************************************************/ - static const AlbersEqualArea& AzimuthalEqualAreaSouth(); - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_ALBERSEQUALAREA_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/AzimuthalEquidistant.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/AzimuthalEquidistant.hpp deleted file mode 100644 index a9ff539fe22ba496d84c7fe9c0331e9474e69cda..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/AzimuthalEquidistant.hpp +++ /dev/null @@ -1,145 +0,0 @@ -/** - * \file AzimuthalEquidistant.hpp - * \brief Header for GeographicLib::AzimuthalEquidistant class - * - * Copyright (c) Charles Karney (2009-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_AZIMUTHALEQUIDISTANT_HPP) -#define GEOGRAPHICLIB_AZIMUTHALEQUIDISTANT_HPP 1 - -#include -#include - -namespace GeographicLib { - - /** - * \brief Azimuthal equidistant projection - * - * Azimuthal equidistant projection centered at an arbitrary position on the - * ellipsoid. For a point in projected space (\e x, \e y), the geodesic - * distance from the center position is hypot(\e x, \e y) and the azimuth of - * the geodesic from the center point is atan2(\e x, \e y). The Forward and - * Reverse methods also return the azimuth \e azi of the geodesic at (\e x, - * \e y) and reciprocal scale \e rk in the azimuthal direction which, - * together with the basic properties of the projection, serve to specify - * completely the local affine transformation between geographic and - * projected coordinates. - * - * The conversions all take place using a Geodesic object (by default - * Geodesic::WGS84()). For more information on geodesics see \ref geodesic. - * - * Example of use: - * \include example-AzimuthalEquidistant.cpp - * - * GeodesicProj is a command-line utility - * providing access to the functionality of AzimuthalEquidistant, Gnomonic, - * and CassiniSoldner. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT AzimuthalEquidistant { - private: - typedef Math::real real; - real eps_; - Geodesic _earth; - public: - - /** - * Constructor for AzimuthalEquidistant. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - * By default this uses the WGS84 ellipsoid. - **********************************************************************/ - explicit AzimuthalEquidistant(const Geodesic& earth = Geodesic::WGS84()); - - /** - * Forward projection, from geographic to azimuthal equidistant. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] azi azimuth of geodesic at point (degrees). - * @param[out] rk reciprocal of azimuthal scale at point. - * - * \e lat0 and \e lat should be in the range [−90°, 90°]. - * The scale of the projection is 1 in the "radial" direction, \e azi - * clockwise from true north, and is 1/\e rk in the direction perpendicular - * to this. A call to Forward followed by a call to Reverse will return - * the original (\e lat, \e lon) (to within roundoff). - **********************************************************************/ - void Forward(real lat0, real lon0, real lat, real lon, - real& x, real& y, real& azi, real& rk) const; - - /** - * Reverse projection, from azimuthal equidistant to geographic. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] azi azimuth of geodesic at point (degrees). - * @param[out] rk reciprocal of azimuthal scale at point. - * - * \e lat0 should be in the range [−90°, 90°]. \e lat will - * be in the range [−90°, 90°] and \e lon will be in the - * range [−180°, 180°]. The scale of the projection is 1 in - * the "radial" direction, \e azi clockwise from true north, and is 1/\e rk - * in the direction perpendicular to this. A call to Reverse followed by a - * call to Forward will return the original (\e x, \e y) (to roundoff) only - * if the geodesic to (\e x, \e y) is a shortest path. - **********************************************************************/ - void Reverse(real lat0, real lon0, real x, real y, - real& lat, real& lon, real& azi, real& rk) const; - - /** - * AzimuthalEquidistant::Forward without returning the azimuth and scale. - **********************************************************************/ - void Forward(real lat0, real lon0, real lat, real lon, - real& x, real& y) const { - real azi, rk; - Forward(lat0, lon0, lat, lon, x, y, azi, rk); - } - - /** - * AzimuthalEquidistant::Reverse without returning the azimuth and scale. - **********************************************************************/ - void Reverse(real lat0, real lon0, real x, real y, - real& lat, real& lon) const { - real azi, rk; - Reverse(lat0, lon0, x, y, lat, lon, azi, rk); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _earth.EquatorialRadius(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _earth.Flattening(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_AZIMUTHALEQUIDISTANT_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/CMakeLists.txt b/libs/GeographicLib-1.50.1/include/GeographicLib/CMakeLists.txt deleted file mode 100644 index 892f3d0b61fdcdcb97097b7c44b956971ef6b11b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/CMakeLists.txt +++ /dev/null @@ -1,6 +0,0 @@ -# Install the header files including the generated Config.h (which is in -# the build tree). -file (GLOB HEADERS [A-Za-z]*.hpp) -install (FILES ${HEADERS} DESTINATION include/GeographicLib) -install (FILES ${CMAKE_CURRENT_BINARY_DIR}/Config.h - DESTINATION include/GeographicLib) diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/CassiniSoldner.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/CassiniSoldner.hpp deleted file mode 100644 index ae9f55b311b763152b25ed17a46695b990fbd568..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/CassiniSoldner.hpp +++ /dev/null @@ -1,210 +0,0 @@ -/** - * \file CassiniSoldner.hpp - * \brief Header for GeographicLib::CassiniSoldner class - * - * Copyright (c) Charles Karney (2009-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_CASSINISOLDNER_HPP) -#define GEOGRAPHICLIB_CASSINISOLDNER_HPP 1 - -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief Cassini-Soldner projection - * - * Cassini-Soldner projection centered at an arbitrary position, \e lat0, \e - * lon0, on the ellipsoid. This projection is a transverse cylindrical - * equidistant projection. The projection from (\e lat, \e lon) to easting - * and northing (\e x, \e y) is defined by geodesics as follows. Go north - * along a geodesic a distance \e y from the central point; then turn - * clockwise 90° and go a distance \e x along a geodesic. - * (Although the initial heading is north, this changes to south if the pole - * is crossed.) This procedure uniquely defines the reverse projection. The - * forward projection is constructed as follows. Find the point (\e lat1, \e - * lon1) on the meridian closest to (\e lat, \e lon). Here we consider the - * full meridian so that \e lon1 may be either \e lon0 or \e lon0 + - * 180°. \e x is the geodesic distance from (\e lat1, \e lon1) to - * (\e lat, \e lon), appropriately signed according to which side of the - * central meridian (\e lat, \e lon) lies. \e y is the shortest distance - * along the meridian from (\e lat0, \e lon0) to (\e lat1, \e lon1), again, - * appropriately signed according to the initial heading. [Note that, in the - * case of prolate ellipsoids, the shortest meridional path from (\e lat0, \e - * lon0) to (\e lat1, \e lon1) may not be the shortest path.] This procedure - * uniquely defines the forward projection except for a small class of points - * for which there may be two equally short routes for either leg of the - * path. - * - * Because of the properties of geodesics, the (\e x, \e y) grid is - * orthogonal. The scale in the easting direction is unity. The scale, \e - * k, in the northing direction is unity on the central meridian and - * increases away from the central meridian. The projection routines return - * \e azi, the true bearing of the easting direction, and \e rk = 1/\e k, the - * reciprocal of the scale in the northing direction. - * - * The conversions all take place using a Geodesic object (by default - * Geodesic::WGS84()). For more information on geodesics see \ref geodesic. - * The determination of (\e lat1, \e lon1) in the forward projection is by - * solving the inverse geodesic problem for (\e lat, \e lon) and its twin - * obtained by reflection in the meridional plane. The scale is found by - * determining where two neighboring geodesics intersecting the central - * meridian at \e lat1 and \e lat1 + \e dlat1 intersect and taking the ratio - * of the reduced lengths for the two geodesics between that point and, - * respectively, (\e lat1, \e lon1) and (\e lat, \e lon). - * - * Example of use: - * \include example-CassiniSoldner.cpp - * - * GeodesicProj is a command-line utility - * providing access to the functionality of AzimuthalEquidistant, Gnomonic, - * and CassiniSoldner. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT CassiniSoldner { - private: - typedef Math::real real; - Geodesic _earth; - GeodesicLine _meridian; - real _sbet0, _cbet0; - static const unsigned maxit_ = 10; - - public: - - /** - * Constructor for CassiniSoldner. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - * By default this uses the WGS84 ellipsoid. - * - * This constructor makes an "uninitialized" object. Call Reset to set the - * central latitude and longitude, prior to calling Forward and Reverse. - **********************************************************************/ - explicit CassiniSoldner(const Geodesic& earth = Geodesic::WGS84()); - - /** - * Constructor for CassiniSoldner specifying a center point. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] earth the Geodesic object to use for geodesic calculations. - * By default this uses the WGS84 ellipsoid. - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - CassiniSoldner(real lat0, real lon0, - const Geodesic& earth = Geodesic::WGS84()); - - /** - * Set the central point of the projection - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - void Reset(real lat0, real lon0); - - /** - * Forward projection, from geographic to Cassini-Soldner. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] azi azimuth of easting direction at point (degrees). - * @param[out] rk reciprocal of azimuthal northing scale at point. - * - * \e lat should be in the range [−90°, 90°]. A call to - * Forward followed by a call to Reverse will return the original (\e lat, - * \e lon) (to within roundoff). The routine does nothing if the origin - * has not been set. - **********************************************************************/ - void Forward(real lat, real lon, - real& x, real& y, real& azi, real& rk) const; - - /** - * Reverse projection, from Cassini-Soldner to geographic. - * - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] azi azimuth of easting direction at point (degrees). - * @param[out] rk reciprocal of azimuthal northing scale at point. - * - * A call to Reverse followed by a call to Forward will return the original - * (\e x, \e y) (to within roundoff), provided that \e x and \e y are - * sufficiently small not to "wrap around" the earth. The routine does - * nothing if the origin has not been set. - **********************************************************************/ - void Reverse(real x, real y, - real& lat, real& lon, real& azi, real& rk) const; - - /** - * CassiniSoldner::Forward without returning the azimuth and scale. - **********************************************************************/ - void Forward(real lat, real lon, - real& x, real& y) const { - real azi, rk; - Forward(lat, lon, x, y, azi, rk); - } - - /** - * CassiniSoldner::Reverse without returning the azimuth and scale. - **********************************************************************/ - void Reverse(real x, real y, - real& lat, real& lon) const { - real azi, rk; - Reverse(x, y, lat, lon, azi, rk); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return true if the object has been initialized. - **********************************************************************/ - bool Init() const { return _meridian.Init(); } - - /** - * @return \e lat0 the latitude of origin (degrees). - **********************************************************************/ - Math::real LatitudeOrigin() const - { return _meridian.Latitude(); } - - /** - * @return \e lon0 the longitude of origin (degrees). - **********************************************************************/ - Math::real LongitudeOrigin() const - { return _meridian.Longitude(); } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _earth.EquatorialRadius(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _earth.Flattening(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_CASSINISOLDNER_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/CircularEngine.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/CircularEngine.hpp deleted file mode 100644 index 0c8bf0c1195aeaeb2cd12e3606741e92343971cc..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/CircularEngine.hpp +++ /dev/null @@ -1,195 +0,0 @@ -/** - * \file CircularEngine.hpp - * \brief Header for GeographicLib::CircularEngine class - * - * Copyright (c) Charles Karney (2011-2015) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_CIRCULARENGINE_HPP) -#define GEOGRAPHICLIB_CIRCULARENGINE_HPP 1 - -#include -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs vector -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - /** - * \brief Spherical harmonic sums for a circle - * - * The class is a companion to SphericalEngine. If the results of a - * spherical harmonic sum are needed for several points on a circle of - * constant latitude \e lat and height \e h, then SphericalEngine::Circle can - * compute the inner sum, which is independent of longitude \e lon, and - * produce a CircularEngine object. CircularEngine::operator()() can - * then be used to perform the outer sum for particular vales of \e lon. - * This can lead to substantial improvements in computational speed for high - * degree sum (approximately by a factor of \e N / 2 where \e N is the - * maximum degree). - * - * CircularEngine is tightly linked to the internals of SphericalEngine. For - * that reason, the constructor for this class is private. Use - * SphericalHarmonic::Circle, SphericalHarmonic1::Circle, and - * SphericalHarmonic2::Circle to create instances of this class. - * - * CircularEngine stores the coefficients needed to allow the summation over - * order to be performed in 2 or 6 vectors of length \e M + 1 (depending on - * whether gradients are to be calculated). For this reason the constructor - * may throw a std::bad_alloc exception. - * - * Example of use: - * \include example-CircularEngine.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT CircularEngine { - private: - typedef Math::real real; - enum normalization { - FULL = SphericalEngine::FULL, - SCHMIDT = SphericalEngine::SCHMIDT, - }; - int _M; - bool _gradp; - unsigned _norm; - real _a, _r, _u, _t; - std::vector _wc, _ws, _wrc, _wrs, _wtc, _wts; - real _q, _uq, _uq2; - - Math::real Value(bool gradp, real sl, real cl, - real& gradx, real& grady, real& gradz) const; - - friend class SphericalEngine; - CircularEngine(int M, bool gradp, unsigned norm, - real a, real r, real u, real t) - : _M(M) - , _gradp(gradp) - , _norm(norm) - , _a(a) - , _r(r) - , _u(u) - , _t(t) - , _wc(std::vector(_M + 1, 0)) - , _ws(std::vector(_M + 1, 0)) - , _wrc(std::vector(_gradp ? _M + 1 : 0, 0)) - , _wrs(std::vector(_gradp ? _M + 1 : 0, 0)) - , _wtc(std::vector(_gradp ? _M + 1 : 0, 0)) - , _wts(std::vector(_gradp ? _M + 1 : 0, 0)) - { - _q = _a / _r; - _uq = _u * _q; - _uq2 = Math::sq(_uq); - } - - void SetCoeff(int m, real wc, real ws) - { _wc[m] = wc; _ws[m] = ws; } - - void SetCoeff(int m, real wc, real ws, - real wrc, real wrs, real wtc, real wts) { - _wc[m] = wc; _ws[m] = ws; - if (_gradp) { - _wrc[m] = wrc; _wrs[m] = wrs; - _wtc[m] = wtc; _wts[m] = wts; - } - } - - public: - - /** - * A default constructor. CircularEngine::operator()() on the resulting - * object returns zero. The resulting object can be assigned to the result - * of SphericalHarmonic::Circle. - **********************************************************************/ - CircularEngine() - : _M(-1) - , _gradp(true) - , _u(0) - , _t(1) - {} - - /** - * Evaluate the sum for a particular longitude given in terms of its - * sine and cosine. - * - * @param[in] sinlon the sine of the longitude. - * @param[in] coslon the cosine of the longitude. - * @return \e V the value of the sum. - * - * The arguments must satisfy sinlon2 + - * coslon2 = 1. - **********************************************************************/ - Math::real operator()(real sinlon, real coslon) const { - real dummy; - return Value(false, sinlon, coslon, dummy, dummy, dummy); - } - - /** - * Evaluate the sum for a particular longitude. - * - * @param[in] lon the longitude (degrees). - * @return \e V the value of the sum. - **********************************************************************/ - Math::real operator()(real lon) const { - real sinlon, coslon; - Math::sincosd(lon, sinlon, coslon); - return (*this)(sinlon, coslon); - } - - /** - * Evaluate the sum and its gradient for a particular longitude given in - * terms of its sine and cosine. - * - * @param[in] sinlon the sine of the longitude. - * @param[in] coslon the cosine of the longitude. - * @param[out] gradx \e x component of the gradient. - * @param[out] grady \e y component of the gradient. - * @param[out] gradz \e z component of the gradient. - * @return \e V the value of the sum. - * - * The gradients will only be computed if the CircularEngine object was - * created with this capability (e.g., via \e gradp = true in - * SphericalHarmonic::Circle). If not, \e gradx, etc., will not be - * touched. The arguments must satisfy sinlon2 + - * coslon2 = 1. - **********************************************************************/ - Math::real operator()(real sinlon, real coslon, - real& gradx, real& grady, real& gradz) const { - return Value(true, sinlon, coslon, gradx, grady, gradz); - } - - /** - * Evaluate the sum and its gradient for a particular longitude. - * - * @param[in] lon the longitude (degrees). - * @param[out] gradx \e x component of the gradient. - * @param[out] grady \e y component of the gradient. - * @param[out] gradz \e z component of the gradient. - * @return \e V the value of the sum. - * - * The gradients will only be computed if the CircularEngine object was - * created with this capability (e.g., via \e gradp = true in - * SphericalHarmonic::Circle). If not, \e gradx, etc., will not be - * touched. - **********************************************************************/ - Math::real operator()(real lon, - real& gradx, real& grady, real& gradz) const { - real sinlon, coslon; - Math::sincosd(lon, sinlon, coslon); - return (*this)(sinlon, coslon, gradx, grady, gradz); - } - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_CIRCULARENGINE_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Config-ac.h.in b/libs/GeographicLib-1.50.1/include/GeographicLib/Config-ac.h.in deleted file mode 100644 index b8fcc44533fe0ddca68075b990a4abacdcaeefa6..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Config-ac.h.in +++ /dev/null @@ -1,88 +0,0 @@ -/* include/GeographicLib/Config-ac.h.in. Generated from configure.ac by autoheader. */ - -/* Define if building universal (internal helper macro) */ -#undef AC_APPLE_UNIVERSAL_BUILD - -/* major version number */ -#undef GEOGRAPHICLIB_VERSION_MAJOR - -/* minor version number */ -#undef GEOGRAPHICLIB_VERSION_MINOR - -/* patch number */ -#undef GEOGRAPHICLIB_VERSION_PATCH - -/* Define to 1 if you have the header file. */ -#undef HAVE_DLFCN_H - -/* Define to 1 if you have the header file. */ -#undef HAVE_INTTYPES_H - -/* Define to 1 if the system has the type `long double'. */ -#undef HAVE_LONG_DOUBLE - -/* Define to 1 if you have the header file. */ -#undef HAVE_MEMORY_H - -/* Define to 1 if you have the header file. */ -#undef HAVE_STDINT_H - -/* Define to 1 if you have the header file. */ -#undef HAVE_STDLIB_H - -/* Define to 1 if you have the header file. */ -#undef HAVE_STRINGS_H - -/* Define to 1 if you have the header file. */ -#undef HAVE_STRING_H - -/* Define to 1 if you have the header file. */ -#undef HAVE_SYS_STAT_H - -/* Define to 1 if you have the header file. */ -#undef HAVE_SYS_TYPES_H - -/* Define to 1 if you have the header file. */ -#undef HAVE_UNISTD_H - -/* Define to the sub-directory where libtool stores uninstalled libraries. */ -#undef LT_OBJDIR - -/* Name of package */ -#undef PACKAGE - -/* Define to the address where bug reports for this package should be sent. */ -#undef PACKAGE_BUGREPORT - -/* Define to the full name of this package. */ -#undef PACKAGE_NAME - -/* Define to the full name and version of this package. */ -#undef PACKAGE_STRING - -/* Define to the one symbol short name of this package. */ -#undef PACKAGE_TARNAME - -/* Define to the home page for this package. */ -#undef PACKAGE_URL - -/* Define to the version of this package. */ -#undef PACKAGE_VERSION - -/* Define to 1 if you have the ANSI C header files. */ -#undef STDC_HEADERS - -/* Version number of package */ -#undef VERSION - -/* Define WORDS_BIGENDIAN to 1 if your processor stores words with the most - significant byte first (like Motorola and SPARC, unlike Intel). */ -#if defined AC_APPLE_UNIVERSAL_BUILD -# if defined __BIG_ENDIAN__ -# define WORDS_BIGENDIAN 1 -# endif -#else -# ifndef WORDS_BIGENDIAN -# undef WORDS_BIGENDIAN -# endif -#endif diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Config.h b/libs/GeographicLib-1.50.1/include/GeographicLib/Config.h deleted file mode 100644 index e3832d05195ae0d2b443914a553d24bec844b0cc..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Config.h +++ /dev/null @@ -1,12 +0,0 @@ -// This will be overwritten by ./configure - -#define GEOGRAPHICLIB_VERSION_STRING "1.50.1" -#define GEOGRAPHICLIB_VERSION_MAJOR 1 -#define GEOGRAPHICLIB_VERSION_MINOR 50 -#define GEOGRAPHICLIB_VERSION_PATCH 1 - -// Undefine HAVE_LONG_DOUBLE if this type is unknown to the compiler -#define GEOGRAPHICLIB_HAVE_LONG_DOUBLE 1 - -// Define WORDS_BIGENDIAN to be 1 if your machine is big endian -/* #undef WORDS_BIGENDIAN */ diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Config.h.in b/libs/GeographicLib-1.50.1/include/GeographicLib/Config.h.in deleted file mode 100644 index 3240d283462d44715844fe2a42a00a922cd015dd..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Config.h.in +++ /dev/null @@ -1,25 +0,0 @@ -#define GEOGRAPHICLIB_VERSION_STRING "@PROJECT_VERSION@" -#define GEOGRAPHICLIB_VERSION_MAJOR @PROJECT_VERSION_MAJOR@ -#define GEOGRAPHICLIB_VERSION_MINOR @PROJECT_VERSION_MINOR@ -#define GEOGRAPHICLIB_VERSION_PATCH @PROJECT_VERSION_PATCH@ -#define GEOGRAPHICLIB_DATA "@GEOGRAPHICLIB_DATA@" - -// These are macros which affect the building of the library -#cmakedefine01 GEOGRAPHICLIB_HAVE_LONG_DOUBLE -#cmakedefine01 GEOGRAPHICLIB_WORDS_BIGENDIAN -#define GEOGRAPHICLIB_PRECISION @GEOGRAPHICLIB_PRECISION@ - -// Specify whether GeographicLib is a shared or static library. When compiling -// under Visual Studio it is necessary to specify whether GeographicLib is a -// shared library. This is done with the macro GEOGRAPHICLIB_SHARED_LIB, which -// cmake will correctly define as 0 or 1 when only one type of library is in -// the package. If both shared and static libraries are available, -// GEOGRAPHICLIB_SHARED_LIB is set to 2 which triggers a preprocessor error in -// Constants.hpp. In this case, the appropriate value (0 or 1) for -// GEOGRAPHICLIB_SHARED_LIB must be specified when compiling any program that -// includes GeographicLib headers. This is done automatically if GeographicLib -// and the user's code were built with cmake version 2.8.11 (which introduced -// the command target_compile_definitions) or later. -#if !defined(GEOGRAPHICLIB_SHARED_LIB) -#define GEOGRAPHICLIB_SHARED_LIB @GEOGRAPHICLIB_LIB_TYPE_VAL@ -#endif diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Constants.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Constants.hpp deleted file mode 100644 index d35cec6f48f07b7d10fe99c5a563bec11241cd17..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Constants.hpp +++ /dev/null @@ -1,404 +0,0 @@ -/** - * \file Constants.hpp - * \brief Header for GeographicLib::Constants class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_CONSTANTS_HPP) -#define GEOGRAPHICLIB_CONSTANTS_HPP 1 - -#include - -/** - * @relates GeographicLib::Constants - * Pack the version components into a single integer. Users should not rely on - * this particular packing of the components of the version number; see the - * documentation for GEOGRAPHICLIB_VERSION, below. - **********************************************************************/ -#define GEOGRAPHICLIB_VERSION_NUM(a,b,c) ((((a) * 10000 + (b)) * 100) + (c)) - -/** - * @relates GeographicLib::Constants - * The version of GeographicLib as a single integer, packed as MMmmmmpp where - * MM is the major version, mmmm is the minor version, and pp is the patch - * level. Users should not rely on this particular packing of the components - * of the version number. Instead they should use a test such as \code - #if GEOGRAPHICLIB_VERSION >= GEOGRAPHICLIB_VERSION_NUM(1,37,0) - ... - #endif - * \endcode - **********************************************************************/ -#define GEOGRAPHICLIB_VERSION \ - GEOGRAPHICLIB_VERSION_NUM(GEOGRAPHICLIB_VERSION_MAJOR, \ - GEOGRAPHICLIB_VERSION_MINOR, \ - GEOGRAPHICLIB_VERSION_PATCH) - -/** - * @relates GeographicLib::Constants - * Is the C++11 static_assert available? - **********************************************************************/ -#if !defined(GEOGRAPHICLIB_HAS_STATIC_ASSERT) -# if __cplusplus >= 201103 || defined(__GXX_EXPERIMENTAL_CXX0X__) -# define GEOGRAPHICLIB_HAS_STATIC_ASSERT 1 -# elif defined(_MSC_VER) && _MSC_VER >= 1600 -// For reference, here is a table of Visual Studio and _MSC_VER -// correspondences: -// -// _MSC_VER Visual Studio -// 1100 vc5 -// 1200 vc6 -// 1300 vc7 -// 1310 vc7.1 (2003) -// 1400 vc8 (2005) -// 1500 vc9 (2008) -// 1600 vc10 (2010) -// 1700 vc11 (2012) -// 1800 vc12 (2013) First version of VS to include enough C++11 support -// 1900 vc14 (2015) -// 191[0-9] vc15 (2017) -// 192[0-9] vc16 (2019) -# define GEOGRAPHICLIB_HAS_STATIC_ASSERT 1 -# else -# define GEOGRAPHICLIB_HAS_STATIC_ASSERT 0 -# endif -#endif - -/** - * @relates GeographicLib::Constants - * A compile-time assert. Use C++11 static_assert, if available. - **********************************************************************/ -#if !defined(GEOGRAPHICLIB_STATIC_ASSERT) -# if GEOGRAPHICLIB_HAS_STATIC_ASSERT -# define GEOGRAPHICLIB_STATIC_ASSERT static_assert -# else -# define GEOGRAPHICLIB_STATIC_ASSERT(cond,reason) \ - { enum{ GEOGRAPHICLIB_STATIC_ASSERT_ENUM = 1/int(cond) }; } -# endif -#endif - -#if defined(_MSC_VER) && defined(GEOGRAPHICLIB_SHARED_LIB) && \ - GEOGRAPHICLIB_SHARED_LIB -# if GEOGRAPHICLIB_SHARED_LIB > 1 -# error GEOGRAPHICLIB_SHARED_LIB must be 0 or 1 -# elif defined(GeographicLib_SHARED_EXPORTS) -# define GEOGRAPHICLIB_EXPORT __declspec(dllexport) -# else -# define GEOGRAPHICLIB_EXPORT __declspec(dllimport) -# endif -#else -# define GEOGRAPHICLIB_EXPORT -#endif - -// Use GEOGRAPHICLIB_DEPRECATED to mark functions, types or variables as -// deprecated. Code inspired by Apache Subversion's svn_types.h file (via -// MPFR). -#if defined(__GNUC__) -# if __GNUC__ > 4 -# define GEOGRAPHICLIB_DEPRECATED(msg) __attribute__((deprecated(msg))) -# else -# define GEOGRAPHICLIB_DEPRECATED(msg) __attribute__((deprecated)) -# endif -#elif defined(_MSC_VER) && _MSC_VER >= 1300 -# define GEOGRAPHICLIB_DEPRECATED(msg) __declspec(deprecated(msg)) -#else -# define GEOGRAPHICLIB_DEPRECATED(msg) -#endif - -#include -#include -#include - -/** - * \brief Namespace for %GeographicLib - * - * All of %GeographicLib is defined within the GeographicLib namespace. In - * addition all the header files are included via %GeographicLib/Class.hpp. - * This minimizes the likelihood of conflicts with other packages. - **********************************************************************/ -namespace GeographicLib { - - /** - * \brief %Constants needed by %GeographicLib - * - * Define constants specifying the WGS84 ellipsoid, the UTM and UPS - * projections, and various unit conversions. - * - * Example of use: - * \include example-Constants.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT Constants { - private: - typedef Math::real real; - Constants(); // Disable constructor - - public: - /** - * A synonym for Math::degree(). - **********************************************************************/ - static Math::real degree() { return Math::degree(); } - /** - * @return the number of radians in an arcminute. - **********************************************************************/ - static Math::real arcminute() - { return Math::degree() / 60; } - /** - * @return the number of radians in an arcsecond. - **********************************************************************/ - static Math::real arcsecond() - { return Math::degree() / 3600; } - - /** \name Ellipsoid parameters - **********************************************************************/ - ///@{ - /** - * @tparam T the type of the returned value. - * @return the equatorial radius of WGS84 ellipsoid (6378137 m). - **********************************************************************/ - template static T WGS84_a() - { return 6378137 * meter(); } - /** - * A synonym for WGS84_a(). - **********************************************************************/ - static Math::real WGS84_a() { return WGS84_a(); } - /** - * @tparam T the type of the returned value. - * @return the flattening of WGS84 ellipsoid (1/298.257223563). - **********************************************************************/ - template static T WGS84_f() { - // Evaluating this as 1000000000 / T(298257223563LL) reduces the - // round-off error by about 10%. However, expressing the flattening as - // 1/298.257223563 is well ingrained. - return 1 / ( T(298257223563LL) / 1000000000 ); - } - /** - * A synonym for WGS84_f(). - **********************************************************************/ - static Math::real WGS84_f() { return WGS84_f(); } - /** - * @tparam T the type of the returned value. - * @return the gravitational constant of the WGS84 ellipsoid, \e GM, in - * m3 s−2. - **********************************************************************/ - template static T WGS84_GM() - { return T(3986004) * 100000000 + 41800000; } - /** - * A synonym for WGS84_GM(). - **********************************************************************/ - static Math::real WGS84_GM() { return WGS84_GM(); } - /** - * @tparam T the type of the returned value. - * @return the angular velocity of the WGS84 ellipsoid, ω, in rad - * s−1. - **********************************************************************/ - template static T WGS84_omega() - { return 7292115 / (T(1000000) * 100000); } - /** - * A synonym for WGS84_omega(). - **********************************************************************/ - static Math::real WGS84_omega() { return WGS84_omega(); } - /** - * @tparam T the type of the returned value. - * @return the equatorial radius of GRS80 ellipsoid, \e a, in m. - **********************************************************************/ - template static T GRS80_a() - { return 6378137 * meter(); } - /** - * A synonym for GRS80_a(). - **********************************************************************/ - static Math::real GRS80_a() { return GRS80_a(); } - /** - * @tparam T the type of the returned value. - * @return the gravitational constant of the GRS80 ellipsoid, \e GM, in - * m3 s−2. - **********************************************************************/ - template static T GRS80_GM() - { return T(3986005) * 100000000; } - /** - * A synonym for GRS80_GM(). - **********************************************************************/ - static Math::real GRS80_GM() { return GRS80_GM(); } - /** - * @tparam T the type of the returned value. - * @return the angular velocity of the GRS80 ellipsoid, ω, in rad - * s−1. - * - * This is about 2 π 366.25 / (365.25 × 24 × 3600) rad - * s−1. 365.25 is the number of days in a Julian year and - * 365.35/366.25 converts from solar days to sidereal days. Using the - * number of days in a Gregorian year (365.2425) results in a worse - * approximation (because the Gregorian year includes the precession of the - * earth's axis). - **********************************************************************/ - template static T GRS80_omega() - { return 7292115 / (T(1000000) * 100000); } - /** - * A synonym for GRS80_omega(). - **********************************************************************/ - static Math::real GRS80_omega() { return GRS80_omega(); } - /** - * @tparam T the type of the returned value. - * @return the dynamical form factor of the GRS80 ellipsoid, - * J2. - **********************************************************************/ - template static T GRS80_J2() - { return T(108263) / 100000000; } - /** - * A synonym for GRS80_J2(). - **********************************************************************/ - static Math::real GRS80_J2() { return GRS80_J2(); } - /** - * @tparam T the type of the returned value. - * @return the central scale factor for UTM (0.9996). - **********************************************************************/ - template static T UTM_k0() - {return T(9996) / 10000; } - /** - * A synonym for UTM_k0(). - **********************************************************************/ - static Math::real UTM_k0() { return UTM_k0(); } - /** - * @tparam T the type of the returned value. - * @return the central scale factor for UPS (0.994). - **********************************************************************/ - template static T UPS_k0() - { return T(994) / 1000; } - /** - * A synonym for UPS_k0(). - **********************************************************************/ - static Math::real UPS_k0() { return UPS_k0(); } - ///@} - - /** \name SI units - **********************************************************************/ - ///@{ - /** - * @tparam T the type of the returned value. - * @return the number of meters in a meter. - * - * This is unity, but this lets the internal system of units be changed if - * necessary. - **********************************************************************/ - template static T meter() { return T(1); } - /** - * A synonym for meter(). - **********************************************************************/ - static Math::real meter() { return meter(); } - /** - * @return the number of meters in a kilometer. - **********************************************************************/ - static Math::real kilometer() - { return 1000 * meter(); } - /** - * @return the number of meters in a nautical mile (approximately 1 arc - * minute) - **********************************************************************/ - static Math::real nauticalmile() - { return 1852 * meter(); } - - /** - * @tparam T the type of the returned value. - * @return the number of square meters in a square meter. - * - * This is unity, but this lets the internal system of units be changed if - * necessary. - **********************************************************************/ - template static T square_meter() - { return meter() * meter(); } - /** - * A synonym for square_meter(). - **********************************************************************/ - static Math::real square_meter() - { return square_meter(); } - /** - * @return the number of square meters in a hectare. - **********************************************************************/ - static Math::real hectare() - { return 10000 * square_meter(); } - /** - * @return the number of square meters in a square kilometer. - **********************************************************************/ - static Math::real square_kilometer() - { return kilometer() * kilometer(); } - /** - * @return the number of square meters in a square nautical mile. - **********************************************************************/ - static Math::real square_nauticalmile() - { return nauticalmile() * nauticalmile(); } - ///@} - - /** \name Anachronistic British units - **********************************************************************/ - ///@{ - /** - * @return the number of meters in an international foot. - **********************************************************************/ - static Math::real foot() - { return real(254 * 12) / 10000 * meter(); } - /** - * @return the number of meters in a yard. - **********************************************************************/ - static Math::real yard() { return 3 * foot(); } - /** - * @return the number of meters in a fathom. - **********************************************************************/ - static Math::real fathom() { return 2 * yard(); } - /** - * @return the number of meters in a chain. - **********************************************************************/ - static Math::real chain() { return 22 * yard(); } - /** - * @return the number of meters in a furlong. - **********************************************************************/ - static Math::real furlong() { return 10 * chain(); } - /** - * @return the number of meters in a statute mile. - **********************************************************************/ - static Math::real mile() { return 8 * furlong(); } - /** - * @return the number of square meters in an acre. - **********************************************************************/ - static Math::real acre() { return chain() * furlong(); } - /** - * @return the number of square meters in a square statute mile. - **********************************************************************/ - static Math::real square_mile() { return mile() * mile(); } - ///@} - - /** \name Anachronistic US units - **********************************************************************/ - ///@{ - /** - * @return the number of meters in a US survey foot. - **********************************************************************/ - static Math::real surveyfoot() - { return real(1200) / 3937 * meter(); } - ///@} - }; - - /** - * \brief Exception handling for %GeographicLib - * - * A class to handle exceptions. It's derived from std::runtime_error so it - * can be caught by the usual catch clauses. - * - * Example of use: - * \include example-GeographicErr.cpp - **********************************************************************/ - class GeographicErr : public std::runtime_error { - public: - - /** - * Constructor - * - * @param[in] msg a string message, which is accessible in the catch - * clause via what(). - **********************************************************************/ - GeographicErr(const std::string& msg) : std::runtime_error(msg) {} - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_CONSTANTS_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/DMS.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/DMS.hpp deleted file mode 100644 index f65a5ffcc37bf0cdc3b0862fce5d36b28bd3ae2e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/DMS.hpp +++ /dev/null @@ -1,371 +0,0 @@ -/** - * \file DMS.hpp - * \brief Header for GeographicLib::DMS class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_DMS_HPP) -#define GEOGRAPHICLIB_DMS_HPP 1 - -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs vector and constant conditional expressions -# pragma warning (push) -# pragma warning (disable: 4251 4127) -#endif - -namespace GeographicLib { - - /** - * \brief Convert between degrees and the %DMS representation - * - * Parse a string representing degree, minutes, and seconds and return the - * angle in degrees and format an angle in degrees as degree, minutes, and - * seconds. In addition, handle NANs and infinities on input and output. - * - * Example of use: - * \include example-DMS.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT DMS { - public: - - /** - * Indicator for presence of hemisphere indicator (N/S/E/W) on latitudes - * and longitudes. - **********************************************************************/ - enum flag { - /** - * No indicator present. - * @hideinitializer - **********************************************************************/ - NONE = 0, - /** - * Latitude indicator (N/S) present. - * @hideinitializer - **********************************************************************/ - LATITUDE = 1, - /** - * Longitude indicator (E/W) present. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 2, - /** - * Used in Encode to indicate output of an azimuth in [000, 360) with no - * letter indicator. - * @hideinitializer - **********************************************************************/ - AZIMUTH = 3, - /** - * Used in Encode to indicate output of a plain number. - * @hideinitializer - **********************************************************************/ - NUMBER = 4, - }; - - /** - * Indicator for trailing units on an angle. - **********************************************************************/ - enum component { - /** - * Trailing unit is degrees. - * @hideinitializer - **********************************************************************/ - DEGREE = 0, - /** - * Trailing unit is arc minutes. - * @hideinitializer - **********************************************************************/ - MINUTE = 1, - /** - * Trailing unit is arc seconds. - * @hideinitializer - **********************************************************************/ - SECOND = 2, - }; - - private: - typedef Math::real real; - // Replace all occurrences of pat by c. If c is NULL remove pat. - static void replace(std::string& s, const std::string& pat, char c) { - std::string::size_type p = 0; - int count = c ? 1 : 0; - while (true) { - p = s.find(pat, p); - if (p == std::string::npos) - break; - s.replace(p, pat.length(), count, c); - } - } - static const char* const hemispheres_; - static const char* const signs_; - static const char* const digits_; - static const char* const dmsindicators_; - static const char* const components_[3]; - static Math::real NumMatch(const std::string& s); - static Math::real InternalDecode(const std::string& dmsa, flag& ind); - DMS(); // Disable constructor - - public: - - /** - * Convert a string in DMS to an angle. - * - * @param[in] dms string input. - * @param[out] ind a DMS::flag value signaling the presence of a - * hemisphere indicator. - * @exception GeographicErr if \e dms is malformed (see below). - * @return angle (degrees). - * - * Degrees, minutes, and seconds are indicated by the characters d, ' - * (single quote), " (double quote), and these components may only be - * given in this order. Any (but not all) components may be omitted and - * other symbols (e.g., the ° symbol for degrees and the unicode prime - * and double prime symbols for minutes and seconds) may be substituted; - * two single quotes can be used instead of ". The last component - * indicator may be omitted and is assumed to be the next smallest unit - * (thus 33d10 is interpreted as 33d10'). The final component may be a - * decimal fraction but the non-final components must be integers. Instead - * of using d, ', and " to indicate degrees, minutes, and seconds, : - * (colon) may be used to separate these components (numbers must - * appear before and after each colon); thus 50d30'10.3" may be - * written as 50:30:10.3, 5.5' may be written 0:5.5, and so on. The - * integer parts of the minutes and seconds components must be less - * than 60. A single leading sign is permitted. A hemisphere designator - * (N, E, W, S) may be added to the beginning or end of the string. The - * result is multiplied by the implied sign of the hemisphere designator - * (negative for S and W). In addition \e ind is set to DMS::LATITUDE if N - * or S is present, to DMS::LONGITUDE if E or W is present, and to - * DMS::NONE otherwise. Throws an error on a malformed string. No check - * is performed on the range of the result. Examples of legal and illegal - * strings are - * - LEGAL (all the entries on each line are equivalent) - * - -20.51125, 20d30'40.5"S, -20°30'40.5, -20d30.675, - * N-20d30'40.5", -20:30:40.5 - * - 4d0'9, 4d9", 4d9'', 4:0:9, 004:00:09, 4.0025, 4.0025d, 4d0.15, - * 04:.15 - * - 4:59.99999999999999, 4:60.0, 4:59:59.9999999999999, 4:59:60.0, 5 - * - ILLEGAL (the exception thrown explains the problem) - * - 4d5"4', 4::5, 4:5:, :4:5, 4d4.5'4", -N20.5, 1.8e2d, 4:60, - * 4:59:60 - * - * The decoding operation can also perform addition and subtraction - * operations. If the string includes internal signs (i.e., not at - * the beginning nor immediately after an initial hemisphere designator), - * then the string is split immediately before such signs and each piece is - * decoded according to the above rules and the results added; thus - * S3-2.5+4.1N is parsed as the sum of S3, - * -2.5, +4.1N. Any piece can include a - * hemisphere designator; however, if multiple designators are given, they - * must compatible; e.g., you cannot mix N and E. In addition, the - * designator can appear at the beginning or end of the first piece, but - * must be at the end of all subsequent pieces (a hemisphere designator is - * not allowed after the initial sign). Examples of legal and illegal - * combinations are - * - LEGAL (these are all equivalent) - * - 070:00:45, 70:01:15W+0:0.5, 70:01:15W-0:0:30W, W70:01:15+0:0:30E - * - ILLEGAL (the exception thrown explains the problem) - * - 70:01:15W+0:0:15N, W70:01:15+W0:0:15 - * - * \warning The "exponential" notation is not recognized. Thus - * 7.0E1 is illegal, while 7.0E+1 is parsed as - * (7.0E) + (+1), yielding the same result as - * 8.0E. - * - * \note At present, all the string handling in the C++ - * implementation %GeographicLib is with 8-bit characters. The support for - * unicode symbols for degrees, minutes, and seconds is therefore via the - * UTF-8 encoding. (The - * JavaScript implementation of this class uses unicode natively, of - * course.) - * - * Here is the list of Unicode symbols supported for degrees, minutes, - * seconds, and the sign: - * - degrees: - * - d, D lower and upper case letters - * - U+00b0 degree symbol (°) - * - U+00ba masculine ordinal indicator - * - U+2070 superscript zero - * - U+02da ring above - * - minutes: - * - ' apostrophe - * - U+2032 prime (′) - * - U+00b4 acute accent - * - U+2019 right single quote (’) - * - seconds: - * - " quotation mark - * - U+2033 double prime (″) - * - U+201d right double quote (”) - * - ' ' any two consecutive symbols for minutes - * - leading sign: - * - U+2212 minus sign (−) - * . - * The codes with a leading zero byte, e.g., U+00b0, are accepted in their - * UTF-8 coded form 0xc2 0xb0 and as a single byte 0xb0. - **********************************************************************/ - static Math::real Decode(const std::string& dms, flag& ind); - - /** - * Convert DMS to an angle. - * - * @param[in] d degrees. - * @param[in] m arc minutes. - * @param[in] s arc seconds. - * @return angle (degrees) - * - * This does not propagate the sign on \e d to the other components, - * so -3d20' would need to be represented as - DMS::Decode(3.0, 20.0) or - * DMS::Decode(-3.0, -20.0). - **********************************************************************/ - static Math::real Decode(real d, real m = 0, real s = 0) - { return d + (m + s / 60) / 60; } - - /** - * Convert a pair of strings to latitude and longitude. - * - * @param[in] dmsa first string. - * @param[in] dmsb second string. - * @param[out] lat latitude (degrees). - * @param[out] lon longitude (degrees). - * @param[in] longfirst if true assume longitude is given before latitude - * in the absence of hemisphere designators (default false). - * @exception GeographicErr if \e dmsa or \e dmsb is malformed. - * @exception GeographicErr if \e dmsa and \e dmsb are both interpreted as - * latitudes. - * @exception GeographicErr if \e dmsa and \e dmsb are both interpreted as - * longitudes. - * @exception GeographicErr if decoded latitude is not in [−90°, - * 90°]. - * - * By default, the \e lat (resp., \e lon) is assigned to the results of - * decoding \e dmsa (resp., \e dmsb). However this is overridden if either - * \e dmsa or \e dmsb contain a latitude or longitude hemisphere designator - * (N, S, E, W). If an exception is thrown, \e lat and \e lon are - * unchanged. - **********************************************************************/ - static void DecodeLatLon(const std::string& dmsa, const std::string& dmsb, - real& lat, real& lon, - bool longfirst = false); - - /** - * Convert a string to an angle in degrees. - * - * @param[in] angstr input string. - * @exception GeographicErr if \e angstr is malformed. - * @exception GeographicErr if \e angstr includes a hemisphere designator. - * @return angle (degrees) - * - * No hemisphere designator is allowed and no check is done on the range of - * the result. - **********************************************************************/ - static Math::real DecodeAngle(const std::string& angstr); - - /** - * Convert a string to an azimuth in degrees. - * - * @param[in] azistr input string. - * @exception GeographicErr if \e azistr is malformed. - * @exception GeographicErr if \e azistr includes a N/S designator. - * @return azimuth (degrees) reduced to the range [−180°, - * 180°]. - * - * A hemisphere designator E/W can be used; the result is multiplied by - * −1 if W is present. - **********************************************************************/ - static Math::real DecodeAzimuth(const std::string& azistr); - - /** - * Convert angle (in degrees) into a DMS string (using d, ', and "). - * - * @param[in] angle input angle (degrees) - * @param[in] trailing DMS::component value indicating the trailing units - * of the string (this component is given as a decimal number if - * necessary). - * @param[in] prec the number of digits after the decimal point for the - * trailing component. - * @param[in] ind DMS::flag value indicating additional formatting. - * @param[in] dmssep if non-null, use as the DMS separator character - * (instead of d, ', " delimiters). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return formatted string - * - * The interpretation of \e ind is as follows: - * - ind == DMS::NONE, signed result no leading zeros on degrees except in - * the units place, e.g., -8d03'. - * - ind == DMS::LATITUDE, trailing N or S hemisphere designator, no sign, - * pad degrees to 2 digits, e.g., 08d03'S. - * - ind == DMS::LONGITUDE, trailing E or W hemisphere designator, no - * sign, pad degrees to 3 digits, e.g., 008d03'W. - * - ind == DMS::AZIMUTH, convert to the range [0, 360°), no - * sign, pad degrees to 3 digits, e.g., 351d57'. - * . - * The integer parts of the minutes and seconds components are always given - * with 2 digits. - **********************************************************************/ - static std::string Encode(real angle, component trailing, unsigned prec, - flag ind = NONE, char dmssep = char(0)); - - /** - * Convert angle into a DMS string (using d, ', and ") selecting the - * trailing component based on the precision. - * - * @param[in] angle input angle (degrees) - * @param[in] prec the precision relative to 1 degree. - * @param[in] ind DMS::flag value indicated additional formatting. - * @param[in] dmssep if non-null, use as the DMS separator character - * (instead of d, ', " delimiters). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return formatted string - * - * \e prec indicates the precision relative to 1 degree, e.g., \e prec = 3 - * gives a result accurate to 0.1' and \e prec = 4 gives a result accurate - * to 1". \e ind is interpreted as in DMS::Encode with the additional - * facility that DMS::NUMBER represents \e angle as a number in fixed - * format with precision \e prec. - **********************************************************************/ - static std::string Encode(real angle, unsigned prec, flag ind = NONE, - char dmssep = char(0)) { - return ind == NUMBER ? Utility::str(angle, int(prec)) : - Encode(angle, - prec < 2 ? DEGREE : (prec < 4 ? MINUTE : SECOND), - prec < 2 ? prec : (prec < 4 ? prec - 2 : prec - 4), - ind, dmssep); - } - - /** - * Split angle into degrees and minutes - * - * @param[in] ang angle (degrees) - * @param[out] d degrees (an integer returned as a real) - * @param[out] m arc minutes. - **********************************************************************/ - static void Encode(real ang, real& d, real& m) { - d = int(ang); m = 60 * (ang - d); - } - - /** - * Split angle into degrees and minutes and seconds. - * - * @param[in] ang angle (degrees) - * @param[out] d degrees (an integer returned as a real) - * @param[out] m arc minutes (an integer returned as a real) - * @param[out] s arc seconds. - **********************************************************************/ - static void Encode(real ang, real& d, real& m, real& s) { - d = int(ang); ang = 60 * (ang - d); - m = int(ang); s = 60 * (ang - m); - } - - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_DMS_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Ellipsoid.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Ellipsoid.hpp deleted file mode 100644 index 6f625cfbf228f145da74b9a2b8ae714da95c3a4d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Ellipsoid.hpp +++ /dev/null @@ -1,542 +0,0 @@ -/** - * \file Ellipsoid.hpp - * \brief Header for GeographicLib::Ellipsoid class - * - * Copyright (c) Charles Karney (2012-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_ELLIPSOID_HPP) -#define GEOGRAPHICLIB_ELLIPSOID_HPP 1 - -#include -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief Properties of an ellipsoid - * - * This class returns various properties of the ellipsoid and converts - * between various types of latitudes. The latitude conversions are also - * possible using the various projections supported by %GeographicLib; but - * Ellipsoid provides more direct access (sometimes using private functions - * of the projection classes). Ellipsoid::RectifyingLatitude, - * Ellipsoid::InverseRectifyingLatitude, and Ellipsoid::MeridianDistance - * provide functionality which can be provided by the Geodesic class. - * However Geodesic uses a series approximation (valid for abs \e f < 1/150), - * whereas Ellipsoid computes these quantities using EllipticFunction which - * provides accurate results even when \e f is large. Use of this class - * should be limited to −3 < \e f < 3/4 (i.e., 1/4 < b/a < 4). - * - * Example of use: - * \include example-Ellipsoid.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT Ellipsoid { - private: - typedef Math::real real; - static const int numit_ = 10; - real stol_; - real _a, _f, _f1, _f12, _e2, _es, _e12, _n, _b; - TransverseMercator _tm; - EllipticFunction _ell; - AlbersEqualArea _au; - - // These are the alpha and beta coefficients in the Krueger series from - // TransverseMercator. Thy are used by RhumbSolve to compute - // (psi2-psi1)/(mu2-mu1). - const Math::real* ConformalToRectifyingCoeffs() const { return _tm._alp; } - const Math::real* RectifyingToConformalCoeffs() const { return _tm._bet; } - friend class Rhumb; friend class RhumbLine; - public: - /** \name Constructor - **********************************************************************/ - ///@{ - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @exception GeographicErr if \e a or (1 − \e f) \e a is not - * positive. - **********************************************************************/ - Ellipsoid(real a, real f); - ///@} - - /** \name %Ellipsoid dimensions. - **********************************************************************/ - ///@{ - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _a; } - - /** - * @return \e b the polar semi-axis (meters). - **********************************************************************/ - Math::real MinorRadius() const { return _b; } - - /** - * @return \e L the distance between the equator and a pole along a - * meridian (meters). For a sphere \e L = (π/2) \e a. The radius - * of a sphere with the same meridian length is \e L / (π/2). - **********************************************************************/ - Math::real QuarterMeridian() const; - - /** - * @return \e A the total area of the ellipsoid (meters2). For - * a sphere \e A = 4π a2. The radius of a sphere - * with the same area is sqrt(\e A / (4π)). - **********************************************************************/ - Math::real Area() const; - - /** - * @return \e V the total volume of the ellipsoid (meters3). - * For a sphere \e V = (4π / 3) a3. The radius of - * a sphere with the same volume is cbrt(\e V / (4π/3)). - **********************************************************************/ - Math::real Volume() const - { return (4 * Math::pi()) * Math::sq(_a) * _b / 3; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** \name %Ellipsoid shape - **********************************************************************/ - ///@{ - - /** - * @return \e f = (\e a − \e b) / \e a, the flattening of the - * ellipsoid. This is the value used in the constructor. This is zero, - * positive, or negative for a sphere, oblate ellipsoid, or prolate - * ellipsoid. - **********************************************************************/ - Math::real Flattening() const { return _f; } - - /** - * @return \e f ' = (\e a − \e b) / \e b, the second flattening of - * the ellipsoid. This is zero, positive, or negative for a sphere, - * oblate ellipsoid, or prolate ellipsoid. - **********************************************************************/ - Math::real SecondFlattening() const { return _f / (1 - _f); } - - /** - * @return \e n = (\e a − \e b) / (\e a + \e b), the third flattening - * of the ellipsoid. This is zero, positive, or negative for a sphere, - * oblate ellipsoid, or prolate ellipsoid. - **********************************************************************/ - Math::real ThirdFlattening() const { return _n; } - - /** - * @return e2 = (a2 − - * b2) / a2, the eccentricity squared - * of the ellipsoid. This is zero, positive, or negative for a sphere, - * oblate ellipsoid, or prolate ellipsoid. - **********************************************************************/ - Math::real EccentricitySq() const { return _e2; } - - /** - * @return e' 2 = (a2 − - * b2) / b2, the second eccentricity - * squared of the ellipsoid. This is zero, positive, or negative for a - * sphere, oblate ellipsoid, or prolate ellipsoid. - **********************************************************************/ - Math::real SecondEccentricitySq() const { return _e12; } - - /** - * @return e'' 2 = (a2 − - * b2) / (a2 + b2), - * the third eccentricity squared of the ellipsoid. This is zero, - * positive, or negative for a sphere, oblate ellipsoid, or prolate - * ellipsoid. - **********************************************************************/ - Math::real ThirdEccentricitySq() const { return _e2 / (2 - _e2); } - ///@} - - /** \name Latitude conversion. - **********************************************************************/ - ///@{ - - /** - * @param[in] phi the geographic latitude (degrees). - * @return β the parametric latitude (degrees). - * - * The geographic latitude, φ, is the angle between the equatorial - * plane and a vector normal to the surface of the ellipsoid. - * - * The parametric latitude (also called the reduced latitude), β, - * allows the cartesian coordinated of a meridian to be expressed - * conveniently in parametric form as - * - \e R = \e a cos β - * - \e Z = \e b sin β - * . - * where \e a and \e b are the equatorial radius and the polar semi-axis. - * For a sphere β = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * β lies in [−90°, 90°]. - **********************************************************************/ - Math::real ParametricLatitude(real phi) const; - - /** - * @param[in] beta the parametric latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * β must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - Math::real InverseParametricLatitude(real beta) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return θ the geocentric latitude (degrees). - * - * The geocentric latitude, θ, is the angle between the equatorial - * plane and a line between the center of the ellipsoid and a point on the - * ellipsoid. For a sphere θ = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * θ lies in [−90°, 90°]. - **********************************************************************/ - Math::real GeocentricLatitude(real phi) const; - - /** - * @param[in] theta the geocentric latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * θ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - Math::real InverseGeocentricLatitude(real theta) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return μ the rectifying latitude (degrees). - * - * The rectifying latitude, μ, has the property that the distance along - * a meridian of the ellipsoid between two points with rectifying latitudes - * μ1 and μ2 is equal to - * (μ2 - μ1) \e L / 90°, - * where \e L = QuarterMeridian(). For a sphere μ = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * μ lies in [−90°, 90°]. - **********************************************************************/ - Math::real RectifyingLatitude(real phi) const; - - /** - * @param[in] mu the rectifying latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * μ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - Math::real InverseRectifyingLatitude(real mu) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return ξ the authalic latitude (degrees). - * - * The authalic latitude, ξ, has the property that the area of the - * ellipsoid between two circles with authalic latitudes - * ξ1 and ξ2 is equal to (sin - * ξ2 - sin ξ1) \e A / 2, where \e A - * = Area(). For a sphere ξ = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * ξ lies in [−90°, 90°]. - **********************************************************************/ - Math::real AuthalicLatitude(real phi) const; - - /** - * @param[in] xi the authalic latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * ξ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - Math::real InverseAuthalicLatitude(real xi) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return χ the conformal latitude (degrees). - * - * The conformal latitude, χ, gives the mapping of the ellipsoid to a - * sphere which which is conformal (angles are preserved) and in which the - * equator of the ellipsoid maps to the equator of the sphere. For a - * sphere χ = φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * χ lies in [−90°, 90°]. - **********************************************************************/ - Math::real ConformalLatitude(real phi) const; - - /** - * @param[in] chi the conformal latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * χ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. The returned value - * φ lies in [−90°, 90°]. - **********************************************************************/ - Math::real InverseConformalLatitude(real chi) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return ψ the isometric latitude (degrees). - * - * The isometric latitude gives the mapping of the ellipsoid to a plane - * which which is conformal (angles are preserved) and in which the equator - * of the ellipsoid maps to a straight line of constant scale; this mapping - * defines the Mercator projection. For a sphere ψ = - * sinh−1 tan φ. - * - * φ must lie in the range [−90°, 90°]; the result is - * undefined if this condition does not hold. The value returned for φ - * = ±90° is some (positive or negative) large but finite value, - * such that InverseIsometricLatitude returns the original value of φ. - **********************************************************************/ - Math::real IsometricLatitude(real phi) const; - - /** - * @param[in] psi the isometric latitude (degrees). - * @return φ the geographic latitude (degrees). - * - * The returned value φ lies in [−90°, 90°]. For a - * sphere φ = tan−1 sinh ψ. - **********************************************************************/ - Math::real InverseIsometricLatitude(real psi) const; - ///@} - - /** \name Other quantities. - **********************************************************************/ - ///@{ - - /** - * @param[in] phi the geographic latitude (degrees). - * @return \e R = \e a cos β the radius of a circle of latitude - * φ (meters). \e R (π/180°) gives meters per degree - * longitude measured along a circle of latitude. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - Math::real CircleRadius(real phi) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return \e Z = \e b sin β the distance of a circle of latitude - * φ from the equator measured parallel to the ellipsoid axis - * (meters). - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - Math::real CircleHeight(real phi) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return \e s the distance along a meridian - * between the equator and a point of latitude φ (meters). \e s is - * given by \e s = μ \e L / 90°, where \e L = - * QuarterMeridian()). - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - Math::real MeridianDistance(real phi) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return ρ the meridional radius of curvature of the ellipsoid at - * latitude φ (meters); this is the curvature of the meridian. \e - * rho is given by ρ = (180°/π) d\e s / dφ, - * where \e s = MeridianDistance(); thus ρ (π/180°) - * gives meters per degree latitude measured along a meridian. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - Math::real MeridionalCurvatureRadius(real phi) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @return ν the transverse radius of curvature of the ellipsoid at - * latitude φ (meters); this is the curvature of a curve on the - * ellipsoid which also lies in a plane perpendicular to the ellipsoid - * and to the meridian. ν is related to \e R = CircleRadius() by \e - * R = ν cos φ. - * - * φ must lie in the range [−90°, 90°]; the - * result is undefined if this condition does not hold. - **********************************************************************/ - Math::real TransverseCurvatureRadius(real phi) const; - - /** - * @param[in] phi the geographic latitude (degrees). - * @param[in] azi the angle between the meridian and the normal section - * (degrees). - * @return the radius of curvature of the ellipsoid in the normal - * section at latitude φ inclined at an angle \e azi to the - * meridian (meters). - * - * φ must lie in the range [−90°, 90°]; the result is - * undefined this condition does not hold. - **********************************************************************/ - Math::real NormalCurvatureRadius(real phi, real azi) const; - ///@} - - /** \name Eccentricity conversions. - **********************************************************************/ - ///@{ - - /** - * @param[in] fp = \e f ' = (\e a − \e b) / \e b, the second - * flattening. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * \e f ' should lie in (−1, ∞). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static Math::real SecondFlatteningToFlattening(real fp) - { return fp / (1 + fp); } - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return \e f ' = (\e a − \e b) / \e b, the second flattening. - * - * \e f should lie in (−∞, 1). - * The returned value \e f ' lies in (−1, ∞). - **********************************************************************/ - static Math::real FlatteningToSecondFlattening(real f) - { return f / (1 - f); } - - /** - * @param[in] n = (\e a − \e b) / (\e a + \e b), the third - * flattening. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * \e n should lie in (−1, 1). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static Math::real ThirdFlatteningToFlattening(real n) - { return 2 * n / (1 + n); } - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return \e n = (\e a − \e b) / (\e a + \e b), the third - * flattening. - * - * \e f should lie in (−∞, 1). - * The returned value \e n lies in (−1, 1). - **********************************************************************/ - static Math::real FlatteningToThirdFlattening(real f) - { return f / (2 - f); } - - /** - * @param[in] e2 = e2 = (a2 − - * b2) / a2, the eccentricity - * squared. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * e2 should lie in (−∞, 1). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static Math::real EccentricitySqToFlattening(real e2) - { using std::sqrt; return e2 / (sqrt(1 - e2) + 1); } - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return e2 = (a2 − - * b2) / a2, the eccentricity - * squared. - * - * \e f should lie in (−∞, 1). - * The returned value e2 lies in (−∞, 1). - **********************************************************************/ - static Math::real FlatteningToEccentricitySq(real f) - { return f * (2 - f); } - - /** - * @param[in] ep2 = e' 2 = (a2 − - * b2) / b2, the second eccentricity - * squared. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * e' 2 should lie in (−1, ∞). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static Math::real SecondEccentricitySqToFlattening(real ep2) - { using std::sqrt; return ep2 / (sqrt(1 + ep2) + 1 + ep2); } - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return e' 2 = (a2 − - * b2) / b2, the second eccentricity - * squared. - * - * \e f should lie in (−∞, 1). - * The returned value e' 2 lies in (−1, ∞). - **********************************************************************/ - static Math::real FlatteningToSecondEccentricitySq(real f) - { return f * (2 - f) / Math::sq(1 - f); } - - /** - * @param[in] epp2 = e'' 2 = (a2 - * − b2) / (a2 + - * b2), the third eccentricity squared. - * @return \e f = (\e a − \e b) / \e a, the flattening. - * - * e'' 2 should lie in (−1, 1). - * The returned value \e f lies in (−∞, 1). - **********************************************************************/ - static Math::real ThirdEccentricitySqToFlattening(real epp2) { - using std::sqrt; - return 2 * epp2 / (sqrt((1 - epp2) * (1 + epp2)) + 1 + epp2); - } - - /** - * @param[in] f = (\e a − \e b) / \e a, the flattening. - * @return e'' 2 = (a2 − - * b2) / (a2 + b2), - * the third eccentricity squared. - * - * \e f should lie in (−∞, 1). - * The returned value e'' 2 lies in (−1, 1). - **********************************************************************/ - static Math::real FlatteningToThirdEccentricitySq(real f) - { return f * (2 - f) / (1 + Math::sq(1 - f)); } - - ///@} - - /** - * A global instantiation of Ellipsoid with the parameters for the WGS84 - * ellipsoid. - **********************************************************************/ - static const Ellipsoid& WGS84(); - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_ELLIPSOID_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/EllipticFunction.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/EllipticFunction.hpp deleted file mode 100644 index 462e444b8af7625825fbc38cd6e496a191d61d36..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/EllipticFunction.hpp +++ /dev/null @@ -1,701 +0,0 @@ -/** - * \file EllipticFunction.hpp - * \brief Header for GeographicLib::EllipticFunction class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_ELLIPTICFUNCTION_HPP) -#define GEOGRAPHICLIB_ELLIPTICFUNCTION_HPP 1 - -#include - -namespace GeographicLib { - - /** - * \brief Elliptic integrals and functions - * - * This provides the elliptic functions and integrals needed for Ellipsoid, - * GeodesicExact, and TransverseMercatorExact. Two categories of function - * are provided: - * - \e static functions to compute symmetric elliptic integrals - * (https://dlmf.nist.gov/19.16.i) - * - \e member functions to compute Legrendre's elliptic - * integrals (https://dlmf.nist.gov/19.2.ii) and the - * Jacobi elliptic functions (https://dlmf.nist.gov/22.2). - * . - * In the latter case, an object is constructed giving the modulus \e k (and - * optionally the parameter α2). The modulus is always - * passed as its square k2 which allows \e k to be pure - * imaginary (k2 < 0). (Confusingly, Abramowitz and - * Stegun call \e m = k2 the "parameter" and \e n = - * α2 the "characteristic".) - * - * In geodesic applications, it is convenient to separate the incomplete - * integrals into secular and periodic components, e.g., - * \f[ - * E(\phi, k) = (2 E(k) / \pi) [ \phi + \delta E(\phi, k) ] - * \f] - * where δ\e E(φ, \e k) is an odd periodic function with period - * π. - * - * The computation of the elliptic integrals uses the algorithms given in - * - B. C. Carlson, - * Computation of real or - * complex elliptic integrals, Numerical Algorithms 10, 13--26 (1995) - * . - * with the additional optimizations given in https://dlmf.nist.gov/19.36.i. - * The computation of the Jacobi elliptic functions uses the algorithm given - * in - * - R. Bulirsch, - * Numerical Calculation of - * Elliptic Integrals and Elliptic Functions, Numericshe Mathematik 7, - * 78--90 (1965). - * . - * The notation follows https://dlmf.nist.gov/19 and https://dlmf.nist.gov/22 - * - * Example of use: - * \include example-EllipticFunction.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT EllipticFunction { - private: - typedef Math::real real; - - enum { num_ = 13 }; // Max depth required for sncndn; probably 5 is enough. - real _k2, _kp2, _alpha2, _alphap2, _eps; - real _Kc, _Ec, _Dc, _Pic, _Gc, _Hc; - public: - /** \name Constructor - **********************************************************************/ - ///@{ - /** - * Constructor specifying the modulus and parameter. - * - * @param[in] k2 the square of the modulus k2. - * k2 must lie in (−∞, 1]. - * @param[in] alpha2 the parameter α2. - * α2 must lie in (−∞, 1]. - * @exception GeographicErr if \e k2 or \e alpha2 is out of its legal - * range. - * - * If only elliptic integrals of the first and second kinds are needed, - * then set α2 = 0 (the default value); in this case, we - * have Π(φ, 0, \e k) = \e F(φ, \e k), \e G(φ, 0, \e k) = \e - * E(φ, \e k), and \e H(φ, 0, \e k) = \e F(φ, \e k) - \e - * D(φ, \e k). - **********************************************************************/ - EllipticFunction(real k2 = 0, real alpha2 = 0) - { Reset(k2, alpha2); } - - /** - * Constructor specifying the modulus and parameter and their complements. - * - * @param[in] k2 the square of the modulus k2. - * k2 must lie in (−∞, 1]. - * @param[in] alpha2 the parameter α2. - * α2 must lie in (−∞, 1]. - * @param[in] kp2 the complementary modulus squared k'2 = - * 1 − k2. This must lie in [0, ∞). - * @param[in] alphap2 the complementary parameter α'2 = 1 - * − α2. This must lie in [0, ∞). - * @exception GeographicErr if \e k2, \e alpha2, \e kp2, or \e alphap2 is - * out of its legal range. - * - * The arguments must satisfy \e k2 + \e kp2 = 1 and \e alpha2 + \e alphap2 - * = 1. (No checking is done that these conditions are met.) This - * constructor is provided to enable accuracy to be maintained, e.g., when - * \e k is very close to unity. - **********************************************************************/ - EllipticFunction(real k2, real alpha2, real kp2, real alphap2) - { Reset(k2, alpha2, kp2, alphap2); } - - /** - * Reset the modulus and parameter. - * - * @param[in] k2 the new value of square of the modulus - * k2 which must lie in (−∞, ]. - * done.) - * @param[in] alpha2 the new value of parameter α2. - * α2 must lie in (−∞, 1]. - * @exception GeographicErr if \e k2 or \e alpha2 is out of its legal - * range. - **********************************************************************/ - void Reset(real k2 = 0, real alpha2 = 0) - { Reset(k2, alpha2, 1 - k2, 1 - alpha2); } - - /** - * Reset the modulus and parameter supplying also their complements. - * - * @param[in] k2 the square of the modulus k2. - * k2 must lie in (−∞, 1]. - * @param[in] alpha2 the parameter α2. - * α2 must lie in (−∞, 1]. - * @param[in] kp2 the complementary modulus squared k'2 = - * 1 − k2. This must lie in [0, ∞). - * @param[in] alphap2 the complementary parameter α'2 = 1 - * − α2. This must lie in [0, ∞). - * @exception GeographicErr if \e k2, \e alpha2, \e kp2, or \e alphap2 is - * out of its legal range. - * - * The arguments must satisfy \e k2 + \e kp2 = 1 and \e alpha2 + \e alphap2 - * = 1. (No checking is done that these conditions are met.) This - * constructor is provided to enable accuracy to be maintained, e.g., when - * is very small. - **********************************************************************/ - void Reset(real k2, real alpha2, real kp2, real alphap2); - - ///@} - - /** \name Inspector functions. - **********************************************************************/ - ///@{ - /** - * @return the square of the modulus k2. - **********************************************************************/ - Math::real k2() const { return _k2; } - - /** - * @return the square of the complementary modulus k'2 = - * 1 − k2. - **********************************************************************/ - Math::real kp2() const { return _kp2; } - - /** - * @return the parameter α2. - **********************************************************************/ - Math::real alpha2() const { return _alpha2; } - - /** - * @return the complementary parameter α'2 = 1 − - * α2. - **********************************************************************/ - Math::real alphap2() const { return _alphap2; } - ///@} - - /** \name Complete elliptic integrals. - **********************************************************************/ - ///@{ - /** - * The complete integral of the first kind. - * - * @return \e K(\e k). - * - * \e K(\e k) is defined in https://dlmf.nist.gov/19.2.E4 - * \f[ - * K(k) = \int_0^{\pi/2} \frac1{\sqrt{1-k^2\sin^2\phi}}\,d\phi. - * \f] - **********************************************************************/ - Math::real K() const { return _Kc; } - - /** - * The complete integral of the second kind. - * - * @return \e E(\e k). - * - * \e E(\e k) is defined in https://dlmf.nist.gov/19.2.E5 - * \f[ - * E(k) = \int_0^{\pi/2} \sqrt{1-k^2\sin^2\phi}\,d\phi. - * \f] - **********************************************************************/ - Math::real E() const { return _Ec; } - - /** - * Jahnke's complete integral. - * - * @return \e D(\e k). - * - * \e D(\e k) is defined in https://dlmf.nist.gov/19.2.E6 - * \f[ - * D(k) = - * \int_0^{\pi/2} \frac{\sin^2\phi}{\sqrt{1-k^2\sin^2\phi}}\,d\phi. - * \f] - **********************************************************************/ - Math::real D() const { return _Dc; } - - /** - * The difference between the complete integrals of the first and second - * kinds. - * - * @return \e K(\e k) − \e E(\e k). - **********************************************************************/ - Math::real KE() const { return _k2 * _Dc; } - - /** - * The complete integral of the third kind. - * - * @return Π(α2, \e k). - * - * Π(α2, \e k) is defined in - * https://dlmf.nist.gov/19.2.E7 - * \f[ - * \Pi(\alpha^2, k) = \int_0^{\pi/2} - * \frac1{\sqrt{1-k^2\sin^2\phi}(1 - \alpha^2\sin^2\phi)}\,d\phi. - * \f] - **********************************************************************/ - Math::real Pi() const { return _Pic; } - - /** - * Legendre's complete geodesic longitude integral. - * - * @return \e G(α2, \e k). - * - * \e G(α2, \e k) is given by - * \f[ - * G(\alpha^2, k) = \int_0^{\pi/2} - * \frac{\sqrt{1-k^2\sin^2\phi}}{1 - \alpha^2\sin^2\phi}\,d\phi. - * \f] - **********************************************************************/ - Math::real G() const { return _Gc; } - - /** - * Cayley's complete geodesic longitude difference integral. - * - * @return \e H(α2, \e k). - * - * \e H(α2, \e k) is given by - * \f[ - * H(\alpha^2, k) = \int_0^{\pi/2} - * \frac{\cos^2\phi}{(1-\alpha^2\sin^2\phi)\sqrt{1-k^2\sin^2\phi}} - * \,d\phi. - * \f] - **********************************************************************/ - Math::real H() const { return _Hc; } - ///@} - - /** \name Incomplete elliptic integrals. - **********************************************************************/ - ///@{ - /** - * The incomplete integral of the first kind. - * - * @param[in] phi - * @return \e F(φ, \e k). - * - * \e F(φ, \e k) is defined in https://dlmf.nist.gov/19.2.E4 - * \f[ - * F(\phi, k) = \int_0^\phi \frac1{\sqrt{1-k^2\sin^2\theta}}\,d\theta. - * \f] - **********************************************************************/ - Math::real F(real phi) const; - - /** - * The incomplete integral of the second kind. - * - * @param[in] phi - * @return \e E(φ, \e k). - * - * \e E(φ, \e k) is defined in https://dlmf.nist.gov/19.2.E5 - * \f[ - * E(\phi, k) = \int_0^\phi \sqrt{1-k^2\sin^2\theta}\,d\theta. - * \f] - **********************************************************************/ - Math::real E(real phi) const; - - /** - * The incomplete integral of the second kind with the argument given in - * degrees. - * - * @param[in] ang in degrees. - * @return \e E(π ang/180, \e k). - **********************************************************************/ - Math::real Ed(real ang) const; - - /** - * The inverse of the incomplete integral of the second kind. - * - * @param[in] x - * @return φ = E−1(\e x, \e k); i.e., the - * solution of such that \e E(φ, \e k) = \e x. - **********************************************************************/ - Math::real Einv(real x) const; - - /** - * The incomplete integral of the third kind. - * - * @param[in] phi - * @return Π(φ, α2, \e k). - * - * Π(φ, α2, \e k) is defined in - * https://dlmf.nist.gov/19.2.E7 - * \f[ - * \Pi(\phi, \alpha^2, k) = \int_0^\phi - * \frac1{\sqrt{1-k^2\sin^2\theta}(1 - \alpha^2\sin^2\theta)}\,d\theta. - * \f] - **********************************************************************/ - Math::real Pi(real phi) const; - - /** - * Jahnke's incomplete elliptic integral. - * - * @param[in] phi - * @return \e D(φ, \e k). - * - * \e D(φ, \e k) is defined in https://dlmf.nist.gov/19.2.E4 - * \f[ - * D(\phi, k) = \int_0^\phi - * \frac{\sin^2\theta}{\sqrt{1-k^2\sin^2\theta}}\,d\theta. - * \f] - **********************************************************************/ - Math::real D(real phi) const; - - /** - * Legendre's geodesic longitude integral. - * - * @param[in] phi - * @return \e G(φ, α2, \e k). - * - * \e G(φ, α2, \e k) is defined by - * \f[ - * \begin{align} - * G(\phi, \alpha^2, k) &= - * \frac{k^2}{\alpha^2} F(\phi, k) + - * \biggl(1 - \frac{k^2}{\alpha^2}\biggr) \Pi(\phi, \alpha^2, k) \\ - * &= \int_0^\phi - * \frac{\sqrt{1-k^2\sin^2\theta}}{1 - \alpha^2\sin^2\theta}\,d\theta. - * \end{align} - * \f] - * - * Legendre expresses the longitude of a point on the geodesic in terms of - * this combination of elliptic integrals in Exercices de Calcul - * Intégral, Vol. 1 (1811), p. 181, - * https://books.google.com/books?id=riIOAAAAQAAJ&pg=PA181. - * - * See \ref geodellip for the expression for the longitude in terms of this - * function. - **********************************************************************/ - Math::real G(real phi) const; - - /** - * Cayley's geodesic longitude difference integral. - * - * @param[in] phi - * @return \e H(φ, α2, \e k). - * - * \e H(φ, α2, \e k) is defined by - * \f[ - * \begin{align} - * H(\phi, \alpha^2, k) &= - * \frac1{\alpha^2} F(\phi, k) + - * \biggl(1 - \frac1{\alpha^2}\biggr) \Pi(\phi, \alpha^2, k) \\ - * &= \int_0^\phi - * \frac{\cos^2\theta} - * {(1-\alpha^2\sin^2\theta)\sqrt{1-k^2\sin^2\theta}} - * \,d\theta. - * \end{align} - * \f] - * - * Cayley expresses the longitude difference of a point on the geodesic in - * terms of this combination of elliptic integrals in Phil. Mag. 40 - * (1870), p. 333, https://books.google.com/books?id=Zk0wAAAAIAAJ&pg=PA333. - * - * See \ref geodellip for the expression for the longitude in terms of this - * function. - **********************************************************************/ - Math::real H(real phi) const; - ///@} - - /** \name Incomplete integrals in terms of Jacobi elliptic functions. - **********************************************************************/ - /** - * The incomplete integral of the first kind in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return \e F(φ, \e k) as though φ ∈ (−π, π]. - **********************************************************************/ - Math::real F(real sn, real cn, real dn) const; - - /** - * The incomplete integral of the second kind in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return \e E(φ, \e k) as though φ ∈ (−π, π]. - **********************************************************************/ - Math::real E(real sn, real cn, real dn) const; - - /** - * The incomplete integral of the third kind in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return Π(φ, α2, \e k) as though φ ∈ - * (−π, π]. - **********************************************************************/ - Math::real Pi(real sn, real cn, real dn) const; - - /** - * Jahnke's incomplete elliptic integral in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return \e D(φ, \e k) as though φ ∈ (−π, π]. - **********************************************************************/ - Math::real D(real sn, real cn, real dn) const; - - /** - * Legendre's geodesic longitude integral in terms of Jacobi elliptic - * functions. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return \e G(φ, α2, \e k) as though φ ∈ - * (−π, π]. - **********************************************************************/ - Math::real G(real sn, real cn, real dn) const; - - /** - * Cayley's geodesic longitude difference integral in terms of Jacobi - * elliptic functions. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return \e H(φ, α2, \e k) as though φ ∈ - * (−π, π]. - **********************************************************************/ - Math::real H(real sn, real cn, real dn) const; - ///@} - - /** \name Periodic versions of incomplete elliptic integrals. - **********************************************************************/ - ///@{ - /** - * The periodic incomplete integral of the first kind. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return the periodic function π \e F(φ, \e k) / (2 \e K(\e k)) - - * φ. - **********************************************************************/ - Math::real deltaF(real sn, real cn, real dn) const; - - /** - * The periodic incomplete integral of the second kind. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return the periodic function π \e E(φ, \e k) / (2 \e E(\e k)) - - * φ. - **********************************************************************/ - Math::real deltaE(real sn, real cn, real dn) const; - - /** - * The periodic inverse of the incomplete integral of the second kind. - * - * @param[in] stau = sinτ. - * @param[in] ctau = sinτ. - * @return the periodic function E−1(τ (2 \e - * E(\e k)/π), \e k) - τ. - **********************************************************************/ - Math::real deltaEinv(real stau, real ctau) const; - - /** - * The periodic incomplete integral of the third kind. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return the periodic function π Π(φ, α2, - * \e k) / (2 Π(α2, \e k)) - φ. - **********************************************************************/ - Math::real deltaPi(real sn, real cn, real dn) const; - - /** - * The periodic Jahnke's incomplete elliptic integral. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return the periodic function π \e D(φ, \e k) / (2 \e D(\e k)) - - * φ. - **********************************************************************/ - Math::real deltaD(real sn, real cn, real dn) const; - - /** - * Legendre's periodic geodesic longitude integral. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return the periodic function π \e G(φ, \e k) / (2 \e G(\e k)) - - * φ. - **********************************************************************/ - Math::real deltaG(real sn, real cn, real dn) const; - - /** - * Cayley's periodic geodesic longitude difference integral. - * - * @param[in] sn = sinφ. - * @param[in] cn = cosφ. - * @param[in] dn = sqrt(1 − k2 - * sin2φ). - * @return the periodic function π \e H(φ, \e k) / (2 \e H(\e k)) - - * φ. - **********************************************************************/ - Math::real deltaH(real sn, real cn, real dn) const; - ///@} - - /** \name Elliptic functions. - **********************************************************************/ - ///@{ - /** - * The Jacobi elliptic functions. - * - * @param[in] x the argument. - * @param[out] sn sn(\e x, \e k). - * @param[out] cn cn(\e x, \e k). - * @param[out] dn dn(\e x, \e k). - **********************************************************************/ - void sncndn(real x, real& sn, real& cn, real& dn) const; - - /** - * The Δ amplitude function. - * - * @param[in] sn sinφ. - * @param[in] cn cosφ. - * @return Δ = sqrt(1 − k2 - * sin2φ). - **********************************************************************/ - Math::real Delta(real sn, real cn) const { - using std::sqrt; - return sqrt(_k2 < 0 ? 1 - _k2 * sn*sn : _kp2 + _k2 * cn*cn); - } - ///@} - - /** \name Symmetric elliptic integrals. - **********************************************************************/ - ///@{ - /** - * Symmetric integral of the first kind RF. - * - * @param[in] x - * @param[in] y - * @param[in] z - * @return RF(\e x, \e y, \e z). - * - * RF is defined in https://dlmf.nist.gov/19.16.E1 - * \f[ R_F(x, y, z) = \frac12 - * \int_0^\infty\frac1{\sqrt{(t + x) (t + y) (t + z)}}\, dt \f] - * If one of the arguments is zero, it is more efficient to call the - * two-argument version of this function with the non-zero arguments. - **********************************************************************/ - static real RF(real x, real y, real z); - - /** - * Complete symmetric integral of the first kind, - * RF with one argument zero. - * - * @param[in] x - * @param[in] y - * @return RF(\e x, \e y, 0). - **********************************************************************/ - static real RF(real x, real y); - - /** - * Degenerate symmetric integral of the first kind - * RC. - * - * @param[in] x - * @param[in] y - * @return RC(\e x, \e y) = - * RF(\e x, \e y, \e y). - * - * RC is defined in https://dlmf.nist.gov/19.2.E17 - * \f[ R_C(x, y) = \frac12 - * \int_0^\infty\frac1{\sqrt{t + x}(t + y)}\,dt \f] - **********************************************************************/ - static real RC(real x, real y); - - /** - * Symmetric integral of the second kind RG. - * - * @param[in] x - * @param[in] y - * @param[in] z - * @return RG(\e x, \e y, \e z). - * - * RG is defined in Carlson, eq 1.5 - * \f[ R_G(x, y, z) = \frac14 - * \int_0^\infty[(t + x) (t + y) (t + z)]^{-1/2} - * \biggl( - * \frac x{t + x} + \frac y{t + y} + \frac z{t + z} - * \biggr)t\,dt \f] - * See also https://dlmf.nist.gov/19.16.E3. - * If one of the arguments is zero, it is more efficient to call the - * two-argument version of this function with the non-zero arguments. - **********************************************************************/ - static real RG(real x, real y, real z); - - /** - * Complete symmetric integral of the second kind, - * RG with one argument zero. - * - * @param[in] x - * @param[in] y - * @return RG(\e x, \e y, 0). - **********************************************************************/ - static real RG(real x, real y); - - /** - * Symmetric integral of the third kind RJ. - * - * @param[in] x - * @param[in] y - * @param[in] z - * @param[in] p - * @return RJ(\e x, \e y, \e z, \e p). - * - * RJ is defined in https://dlmf.nist.gov/19.16.E2 - * \f[ R_J(x, y, z, p) = \frac32 - * \int_0^\infty - * [(t + x) (t + y) (t + z)]^{-1/2} (t + p)^{-1}\, dt \f] - **********************************************************************/ - static real RJ(real x, real y, real z, real p); - - /** - * Degenerate symmetric integral of the third kind - * RD. - * - * @param[in] x - * @param[in] y - * @param[in] z - * @return RD(\e x, \e y, \e z) = - * RJ(\e x, \e y, \e z, \e z). - * - * RD is defined in https://dlmf.nist.gov/19.16.E5 - * \f[ R_D(x, y, z) = \frac32 - * \int_0^\infty[(t + x) (t + y)]^{-1/2} (t + z)^{-3/2}\, dt \f] - **********************************************************************/ - static real RD(real x, real y, real z); - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_ELLIPTICFUNCTION_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/GARS.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/GARS.hpp deleted file mode 100644 index 3371cdf99ac9dd501f1a432f114210cce0edcc23..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/GARS.hpp +++ /dev/null @@ -1,143 +0,0 @@ -/** - * \file GARS.hpp - * \brief Header for GeographicLib::GARS class - * - * Copyright (c) Charles Karney (2015-2017) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GARS_HPP) -#define GEOGRAPHICLIB_GARS_HPP 1 - -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs string -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - /** - * \brief Conversions for the Global Area Reference System (GARS) - * - * The Global Area Reference System is described in - * - https://en.wikipedia.org/wiki/Global_Area_Reference_System - * - http://earth-info.nga.mil/GandG/coordsys/grids/gars.html - * . - * It provides a compact string representation of a geographic area - * (expressed as latitude and longitude). The classes Georef and Geohash - * implement similar compact representations. - * - * Example of use: - * \include example-GARS.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT GARS { - private: - typedef Math::real real; - static const char* const digits_; - static const char* const letters_; - enum { - lonorig_ = -180, // Origin for longitude - latorig_ = -90, // Origin for latitude - baselon_ = 10, // Base for longitude tiles - baselat_ = 24, // Base for latitude tiles - lonlen_ = 3, - latlen_ = 2, - baselen_ = lonlen_ + latlen_, - mult1_ = 2, // base precision = 1/2 degree - mult2_ = 2, // 6th char gives 2x more precision - mult3_ = 3, // 7th char gives 3x more precision - m_ = mult1_ * mult2_ * mult3_, - maxprec_ = 2, - maxlen_ = baselen_ + maxprec_, - }; - GARS(); // Disable constructor - - public: - - /** - * Convert from geographic coordinates to GARS. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] prec the precision of the resulting GARS. - * @param[out] gars the GARS string. - * @exception GeographicErr if \e lat is not in [−90°, - * 90°]. - * @exception std::bad_alloc if memory for \e gars can't be allocated. - * - * \e prec specifies the precision of \e gars as follows: - * - \e prec = 0 (min), 30' precision, e.g., 006AG; - * - \e prec = 1, 15' precision, e.g., 006AG3; - * - \e prec = 2 (max), 5' precision, e.g., 006AG39. - * - * If \e lat or \e lon is NaN, then \e gars is set to "INVALID". - **********************************************************************/ - static void Forward(real lat, real lon, int prec, std::string& gars); - - /** - * Convert from GARS to geographic coordinates. - * - * @param[in] gars the GARS. - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] prec the precision of \e gars. - * @param[in] centerp if true (the default) return the center of the - * \e gars, otherwise return the south-west corner. - * @exception GeographicErr if \e gars is illegal. - * - * The case of the letters in \e gars is ignored. \e prec is in the range - * [0, 2] and gives the precision of \e gars as follows: - * - \e prec = 0 (min), 30' precision, e.g., 006AG; - * - \e prec = 1, 15' precision, e.g., 006AG3; - * - \e prec = 2 (max), 5' precision, e.g., 006AG39. - * - * If the first 3 characters of \e gars are "INV", then \e lat and \e lon - * are set to NaN and \e prec is unchanged. - **********************************************************************/ - static void Reverse(const std::string& gars, real& lat, real& lon, - int& prec, bool centerp = true); - - /** - * The angular resolution of a GARS. - * - * @param[in] prec the precision of the GARS. - * @return the latitude-longitude resolution (degrees). - * - * Internally, \e prec is first put in the range [0, 2]. - **********************************************************************/ - static Math::real Resolution(int prec) { - return 1/real(prec <= 0 ? mult1_ : (prec == 1 ? mult1_ * mult2_ : - mult1_ * mult2_ * mult3_)); - } - - /** - * The GARS precision required to meet a given geographic resolution. - * - * @param[in] res the minimum of resolution in latitude and longitude - * (degrees). - * @return GARS precision. - * - * The returned length is in the range [0, 2]. - **********************************************************************/ - static int Precision(real res) { - using std::abs; res = abs(res); - for (int prec = 0; prec < maxprec_; ++prec) - if (Resolution(prec) <= res) - return prec; - return maxprec_; - } - - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_GARS_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/GeoCoords.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/GeoCoords.hpp deleted file mode 100644 index b5bc198e8f8e8deac3ba648441dc338b9a1b1ba7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/GeoCoords.hpp +++ /dev/null @@ -1,553 +0,0 @@ -/** - * \file GeoCoords.hpp - * \brief Header for GeographicLib::GeoCoords class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEOCOORDS_HPP) -#define GEOGRAPHICLIB_GEOCOORDS_HPP 1 - -#include -#include - -namespace GeographicLib { - - /** - * \brief Conversion between geographic coordinates - * - * This class stores a geographic position which may be set via the - * constructors or Reset via - * - latitude and longitude - * - UTM or UPS coordinates - * - a string representation of these or an MGRS coordinate string - * - * The state consists of the latitude and longitude and the supplied UTM or - * UPS coordinates (possibly derived from the MGRS coordinates). If latitude - * and longitude were given then the UTM/UPS coordinates follows the standard - * conventions. - * - * The mutable state consists of the UTM or UPS coordinates for a alternate - * zone. A method SetAltZone is provided to set the alternate UPS/UTM zone. - * - * Methods are provided to return the geographic coordinates, the input UTM - * or UPS coordinates (and associated meridian convergence and scale), or - * alternate UTM or UPS coordinates (and their associated meridian - * convergence and scale). - * - * Once the input string has been parsed, you can print the result out in any - * of the formats, decimal degrees, degrees minutes seconds, MGRS, UTM/UPS. - * - * Example of use: - * \include example-GeoCoords.cpp - * - * GeoConvert is a command-line utility - * providing access to the functionality of GeoCoords. - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT GeoCoords { - private: - typedef Math::real real; - real _lat, _long, _easting, _northing, _gamma, _k; - bool _northp; - int _zone; // See UTMUPS::zonespec - mutable real _alt_easting, _alt_northing, _alt_gamma, _alt_k; - mutable int _alt_zone; - - void CopyToAlt() const { - _alt_easting = _easting; - _alt_northing = _northing; - _alt_gamma = _gamma; - _alt_k = _k; - _alt_zone = _zone; - } - static void UTMUPSString(int zone, bool northp, - real easting, real northing, - int prec, bool abbrev, std::string& utm); - void FixHemisphere(); - public: - - /** \name Initializing the GeoCoords object - **********************************************************************/ - ///@{ - /** - * The default constructor sets the coordinate as undefined. - **********************************************************************/ - GeoCoords() - : _lat(Math::NaN()) - , _long(Math::NaN()) - , _easting(Math::NaN()) - , _northing(Math::NaN()) - , _gamma(Math::NaN()) - , _k(Math::NaN()) - , _northp(false) - , _zone(UTMUPS::INVALID) - { CopyToAlt(); } - - /** - * Construct from a string. - * - * @param[in] s 1-element, 2-element, or 3-element string representation of - * the position. - * @param[in] centerp governs the interpretation of MGRS coordinates (see - * below). - * @param[in] longfirst governs the interpretation of geographic - * coordinates (see below). - * @exception GeographicErr if the \e s is malformed (see below). - * - * Parse as a string and interpret it as a geographic position. The input - * string is broken into space (or comma) separated pieces and Basic - * decision on which format is based on number of components - * -# MGRS - * -# "Lat Long" or "Long Lat" - * -# "Zone Easting Northing" or "Easting Northing Zone" - * - * The following inputs are approximately the same (Ar Ramadi Bridge, Iraq) - * - Latitude and Longitude - * - 33.44 43.27 - * - N33d26.4' E43d16.2' - * - 43d16'12"E 33d26'24"N - * - 43:16:12E 33:26:24 - * - MGRS - * - 38SLC30 - * - 38SLC391014 - * - 38SLC3918701405 - * - 37SHT9708 - * - UTM - * - 38n 339188 3701405 - * - 897039 3708229 37n - * - * Latitude and Longitude parsing: Latitude precedes longitude, - * unless a N, S, E, W hemisphere designator is used on one or both - * coordinates. If \e longfirst = true (default is false), then - * longitude precedes latitude in the absence of a hemisphere designator. - * Thus (with \e longfirst = false) - * - 40 -75 - * - N40 W75 - * - -75 N40 - * - 75W 40N - * - E-75 -40S - * . - * are all the same position. The coordinates may be given in - * decimal degrees, degrees and decimal minutes, degrees, minutes, - * seconds, etc. Use d, ', and " to mark off the degrees, - * minutes and seconds. Various alternative symbols for degrees, minutes, - * and seconds are allowed. Alternatively, use : to separate these - * components. A single addition or subtraction is allowed. (See - * DMS::Decode for details.) Thus - * - 40d30'30" - * - 40d30'30 - * - 40°30'30 - * - 40d30.5' - * - 40d30.5 - * - 40:30:30 - * - 40:30.5 - * - 40.508333333 - * - 40:30+0:0:30 - * - 40:31-0:0.5 - * . - * all specify the same angle. The leading sign applies to the following - * components so -1d30 is -(1+30/60) = −1.5. However, note - * that -1:30-0:0:15 is parsed as (-1:30) + (-0:0:15) = −(1+30/60) - * − (15/3600). Latitudes must be in the range [−90°, - * 90°]. Internally longitudes are reduced to the range - * [−180°, 180°]. - * - * UTM/UPS parsing: For UTM zones (−80° ≤ Lat < - * 84°), the zone designator is made up of a zone number (for 1 to 60) - * and a hemisphere letter (n or s), e.g., 38n (38north can also be used). - * The latitude band designer ([C--M] in the southern hemisphere and [N--X] - * in the northern) should NOT be used. (This is part of the MGRS - * coordinate.) The zone designator for the poles (where UPS is employed) - * is a hemisphere letter by itself, i.e., n or s (north or south can also - * be used). - * - * MGRS parsing interprets the grid references as square area at the - * specified precision (1m, 10m, 100m, etc.). If \e centerp = true (the - * default), the center of this square is then taken to be the precise - * position; thus: - * - 38SMB = 38n 450000 3650000 - * - 38SMB4484 = 38n 444500 3684500 - * - 38SMB44148470 = 38n 444145 3684705 - * . - * Otherwise, the "south-west" corner of the square is used, i.e., - * - 38SMB = 38n 400000 3600000 - * - 38SMB4484 = 38n 444000 3684000 - * - 38SMB44148470 = 38n 444140 3684700 - **********************************************************************/ - explicit GeoCoords(const std::string& s, - bool centerp = true, bool longfirst = false) - { Reset(s, centerp, longfirst); } - - /** - * Construct from geographic coordinates. - * - * @param[in] latitude (degrees). - * @param[in] longitude (degrees). - * @param[in] zone if specified, force the UTM/UPS representation to use a - * specified zone using the rules given in UTMUPS::zonespec. - * @exception GeographicErr if \e latitude is not in [−90°, - * 90°]. - * @exception GeographicErr if \e zone cannot be used for this location. - **********************************************************************/ - GeoCoords(real latitude, real longitude, int zone = UTMUPS::STANDARD) { - Reset(latitude, longitude, zone); - } - - /** - * Construct from UTM/UPS coordinates. - * - * @param[in] zone UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] easting (meters). - * @param[in] northing (meters). - * @exception GeographicErr if \e zone, \e easting, or \e northing is - * outside its allowed range. - **********************************************************************/ - GeoCoords(int zone, bool northp, real easting, real northing) { - Reset(zone, northp, easting, northing); - } - - /** - * Reset the location from a string. See - * GeoCoords(const std::string& s, bool centerp, bool longfirst). - * - * @param[in] s 1-element, 2-element, or 3-element string representation of - * the position. - * @param[in] centerp governs the interpretation of MGRS coordinates. - * @param[in] longfirst governs the interpretation of geographic - * coordinates. - * @exception GeographicErr if the \e s is malformed. - **********************************************************************/ - void Reset(const std::string& s, - bool centerp = true, bool longfirst = false); - - /** - * Reset the location in terms of geographic coordinates. See - * GeoCoords(real latitude, real longitude, int zone). - * - * @param[in] latitude (degrees). - * @param[in] longitude (degrees). - * @param[in] zone if specified, force the UTM/UPS representation to use a - * specified zone using the rules given in UTMUPS::zonespec. - * @exception GeographicErr if \e latitude is not in [−90°, - * 90°]. - * @exception GeographicErr if \e zone cannot be used for this location. - **********************************************************************/ - void Reset(real latitude, real longitude, int zone = UTMUPS::STANDARD) { - UTMUPS::Forward(latitude, longitude, - _zone, _northp, _easting, _northing, _gamma, _k, - zone); - _lat = latitude; - _long = longitude; - if (_long >= 180) _long -= 360; - else if (_long < -180) _long += 360; - CopyToAlt(); - } - - /** - * Reset the location in terms of UPS/UPS coordinates. See - * GeoCoords(int zone, bool northp, real easting, real northing). - * - * @param[in] zone UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] easting (meters). - * @param[in] northing (meters). - * @exception GeographicErr if \e zone, \e easting, or \e northing is - * outside its allowed range. - **********************************************************************/ - void Reset(int zone, bool northp, real easting, real northing) { - UTMUPS::Reverse(zone, northp, easting, northing, - _lat, _long, _gamma, _k); - _zone = zone; - _northp = northp; - _easting = easting; - _northing = northing; - FixHemisphere(); - CopyToAlt(); - } - ///@} - - /** \name Querying the GeoCoords object - **********************************************************************/ - ///@{ - /** - * @return latitude (degrees) - **********************************************************************/ - Math::real Latitude() const { return _lat; } - - /** - * @return longitude (degrees) - **********************************************************************/ - Math::real Longitude() const { return _long; } - - /** - * @return easting (meters) - **********************************************************************/ - Math::real Easting() const { return _easting; } - - /** - * @return northing (meters) - **********************************************************************/ - Math::real Northing() const { return _northing; } - - /** - * @return meridian convergence (degrees) for the UTM/UPS projection. - **********************************************************************/ - Math::real Convergence() const { return _gamma; } - - /** - * @return scale for the UTM/UPS projection. - **********************************************************************/ - Math::real Scale() const { return _k; } - - /** - * @return hemisphere (false means south, true means north). - **********************************************************************/ - bool Northp() const { return _northp; } - - /** - * @return hemisphere letter n or s. - **********************************************************************/ - char Hemisphere() const { return _northp ? 'n' : 's'; } - - /** - * @return the zone corresponding to the input (return 0 for UPS). - **********************************************************************/ - int Zone() const { return _zone; } - - ///@} - - /** \name Setting and querying the alternate zone - **********************************************************************/ - ///@{ - /** - * Specify alternate zone number. - * - * @param[in] zone zone number for the alternate representation. - * @exception GeographicErr if \e zone cannot be used for this location. - * - * See UTMUPS::zonespec for more information on the interpretation of \e - * zone. Note that \e zone == UTMUPS::STANDARD (the default) use the - * standard UPS or UTM zone, UTMUPS::MATCH does nothing retaining the - * existing alternate representation. Before this is called the alternate - * zone is the input zone. - **********************************************************************/ - void SetAltZone(int zone = UTMUPS::STANDARD) const { - if (zone == UTMUPS::MATCH) - return; - zone = UTMUPS::StandardZone(_lat, _long, zone); - if (zone == _zone) - CopyToAlt(); - else { - bool northp; - UTMUPS::Forward(_lat, _long, - _alt_zone, northp, - _alt_easting, _alt_northing, _alt_gamma, _alt_k, - zone); - } - } - - /** - * @return current alternate zone (return 0 for UPS). - **********************************************************************/ - int AltZone() const { return _alt_zone; } - - /** - * @return easting (meters) for alternate zone. - **********************************************************************/ - Math::real AltEasting() const { return _alt_easting; } - - /** - * @return northing (meters) for alternate zone. - **********************************************************************/ - Math::real AltNorthing() const { return _alt_northing; } - - /** - * @return meridian convergence (degrees) for alternate zone. - **********************************************************************/ - Math::real AltConvergence() const { return _alt_gamma; } - - /** - * @return scale for alternate zone. - **********************************************************************/ - Math::real AltScale() const { return _alt_k; } - ///@} - - /** \name String representations of the GeoCoords object - **********************************************************************/ - ///@{ - /** - * String representation with latitude and longitude as signed decimal - * degrees. - * - * @param[in] prec precision (relative to about 1m). - * @param[in] longfirst if true give longitude first (default = false) - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return decimal latitude/longitude string representation. - * - * Precision specifies accuracy of representation as follows: - * - prec = −5 (min), 1° - * - prec = 0, 10−5° (about 1m) - * - prec = 3, 10−8° - * - prec = 9 (max), 10−14° - **********************************************************************/ - std::string GeoRepresentation(int prec = 0, bool longfirst = false) const; - - /** - * String representation with latitude and longitude as degrees, minutes, - * seconds, and hemisphere. - * - * @param[in] prec precision (relative to about 1m) - * @param[in] longfirst if true give longitude first (default = false) - * @param[in] dmssep if non-null, use as the DMS separator character - * (instead of d, ', " delimiters). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return DMS latitude/longitude string representation. - * - * Precision specifies accuracy of representation as follows: - * - prec = −5 (min), 1° - * - prec = −4, 0.1° - * - prec = −3, 1' - * - prec = −2, 0.1' - * - prec = −1, 1" - * - prec = 0, 0.1" (about 3m) - * - prec = 1, 0.01" - * - prec = 10 (max), 10−11" - **********************************************************************/ - std::string DMSRepresentation(int prec = 0, bool longfirst = false, - char dmssep = char(0)) - const; - - /** - * MGRS string. - * - * @param[in] prec precision (relative to about 1m). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return MGRS string. - * - * This gives the coordinates of the enclosing grid square with size given - * by the precision. Thus 38n 444180 3684790 converted to a MGRS - * coordinate at precision −2 (100m) is 38SMB441847 and not - * 38SMB442848. \e prec specifies the precision of the MGRS string as - * follows: - * - prec = −6 (min), only the grid zone is returned, e.g., 38S - * - prec = −5, 100km, e.g., 38SMB - * - prec = −4, 10km - * - prec = −3, 1km - * - prec = −2, 100m - * - prec = −1, 10m - * - prec = 0, 1m - * - prec = 1, 0.1m - * - prec = 6 (max), 1μm - **********************************************************************/ - std::string MGRSRepresentation(int prec = 0) const; - - /** - * UTM/UPS string. - * - * @param[in] prec precision (relative to about 1m) - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return UTM/UPS string representation: zone designator, easting, and - * northing. - * - * Precision specifies accuracy of representation as follows: - * - prec = −5 (min), 100km - * - prec = −3, 1km - * - prec = 0, 1m - * - prec = 3, 1mm - * - prec = 6, 1μm - * - prec = 9 (max), 1nm - **********************************************************************/ - std::string UTMUPSRepresentation(int prec = 0, bool abbrev = true) const; - - /** - * UTM/UPS string with hemisphere override. - * - * @param[in] northp hemisphere override - * @param[in] prec precision (relative to about 1m) - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception GeographicErr if the hemisphere override attempts to change - * UPS N to UPS S or vice versa. - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return UTM/UPS string representation: zone designator, easting, and - * northing. - **********************************************************************/ - std::string UTMUPSRepresentation(bool northp, int prec = 0, - bool abbrev = true) const; - - /** - * MGRS string for the alternate zone. See GeoCoords::MGRSRepresentation. - * - * @param[in] prec precision (relative to about 1m). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return MGRS string. - **********************************************************************/ - std::string AltMGRSRepresentation(int prec = 0) const; - - /** - * UTM/UPS string for the alternate zone. See - * GeoCoords::UTMUPSRepresentation. - * - * @param[in] prec precision (relative to about 1m) - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return UTM/UPS string representation: zone designator, easting, and - * northing. - **********************************************************************/ - std::string AltUTMUPSRepresentation(int prec = 0, bool abbrev = true) - const; - - /** - * UTM/UPS string for the alternate zone, with hemisphere override. - * - * @param[in] northp hemisphere override - * @param[in] prec precision (relative to about 1m) - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception GeographicErr if the hemisphere override attempts to change - * UPS n to UPS s or vice verse. - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return UTM/UPS string representation: zone designator, easting, and - * northing. - **********************************************************************/ - std::string AltUTMUPSRepresentation(bool northp, int prec = 0, - bool abbrev = true) const; - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the WGS84 ellipsoid (meters). - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - Math::real EquatorialRadius() const { return UTMUPS::EquatorialRadius(); } - - /** - * @return \e f the flattening of the WGS84 ellipsoid. - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - Math::real Flattening() const { return UTMUPS::Flattening(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_GEOCOORDS_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Geocentric.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Geocentric.hpp deleted file mode 100644 index 43bcf0f0826bf5f87ed57d55e7053087d65a410e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Geocentric.hpp +++ /dev/null @@ -1,274 +0,0 @@ -/** - * \file Geocentric.hpp - * \brief Header for GeographicLib::Geocentric class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEOCENTRIC_HPP) -#define GEOGRAPHICLIB_GEOCENTRIC_HPP 1 - -#include -#include - -namespace GeographicLib { - - /** - * \brief %Geocentric coordinates - * - * Convert between geodetic coordinates latitude = \e lat, longitude = \e - * lon, height = \e h (measured vertically from the surface of the ellipsoid) - * to geocentric coordinates (\e X, \e Y, \e Z). The origin of geocentric - * coordinates is at the center of the earth. The \e Z axis goes thru the - * north pole, \e lat = 90°. The \e X axis goes thru \e lat = 0, - * \e lon = 0. %Geocentric coordinates are also known as earth centered, - * earth fixed (ECEF) coordinates. - * - * The conversion from geographic to geocentric coordinates is - * straightforward. For the reverse transformation we use - * - H. Vermeille, - * Direct - * transformation from geocentric coordinates to geodetic coordinates, - * J. Geodesy 76, 451--454 (2002). - * . - * Several changes have been made to ensure that the method returns accurate - * results for all finite inputs (even if \e h is infinite). The changes are - * described in Appendix B of - * - C. F. F. Karney, - * Geodesics - * on an ellipsoid of revolution, - * Feb. 2011; - * preprint - * arxiv:1102.1215v1. - * . - * Vermeille similarly updated his method in - * - H. Vermeille, - * - * An analytical method to transform geocentric into - * geodetic coordinates, J. Geodesy 85, 105--117 (2011). - * . - * See \ref geocentric for more information. - * - * The errors in these routines are close to round-off. Specifically, for - * points within 5000 km of the surface of the ellipsoid (either inside or - * outside the ellipsoid), the error is bounded by 7 nm (7 nanometers) for - * the WGS84 ellipsoid. See \ref geocentric for further information on the - * errors. - * - * Example of use: - * \include example-Geocentric.cpp - * - * CartConvert is a command-line utility - * providing access to the functionality of Geocentric and LocalCartesian. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT Geocentric { - private: - typedef Math::real real; - friend class LocalCartesian; - friend class MagneticCircle; // MagneticCircle uses Rotation - friend class MagneticModel; // MagneticModel uses IntForward - friend class GravityCircle; // GravityCircle uses Rotation - friend class GravityModel; // GravityModel uses IntForward - friend class NormalGravity; // NormalGravity uses IntForward - static const size_t dim_ = 3; - static const size_t dim2_ = dim_ * dim_; - real _a, _f, _e2, _e2m, _e2a, _e4a, _maxrad; - static void Rotation(real sphi, real cphi, real slam, real clam, - real M[dim2_]); - static void Rotate(real M[dim2_], real x, real y, real z, - real& X, real& Y, real& Z) { - // Perform [X,Y,Z]^t = M.[x,y,z]^t - // (typically local cartesian to geocentric) - X = M[0] * x + M[1] * y + M[2] * z; - Y = M[3] * x + M[4] * y + M[5] * z; - Z = M[6] * x + M[7] * y + M[8] * z; - } - static void Unrotate(real M[dim2_], real X, real Y, real Z, - real& x, real& y, real& z) { - // Perform [x,y,z]^t = M^t.[X,Y,Z]^t - // (typically geocentric to local cartesian) - x = M[0] * X + M[3] * Y + M[6] * Z; - y = M[1] * X + M[4] * Y + M[7] * Z; - z = M[2] * X + M[5] * Y + M[8] * Z; - } - void IntForward(real lat, real lon, real h, real& X, real& Y, real& Z, - real M[dim2_]) const; - void IntReverse(real X, real Y, real Z, real& lat, real& lon, real& h, - real M[dim2_]) const; - - public: - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @exception GeographicErr if \e a or (1 − \e f) \e a is not - * positive. - **********************************************************************/ - Geocentric(real a, real f); - - /** - * A default constructor (for use by NormalGravity). - **********************************************************************/ - Geocentric() : _a(-1) {} - - /** - * Convert from geodetic to geocentric coordinates. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] h height of point above the ellipsoid (meters). - * @param[out] X geocentric coordinate (meters). - * @param[out] Y geocentric coordinate (meters). - * @param[out] Z geocentric coordinate (meters). - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - void Forward(real lat, real lon, real h, real& X, real& Y, real& Z) - const { - if (Init()) - IntForward(lat, lon, h, X, Y, Z, NULL); - } - - /** - * Convert from geodetic to geocentric coordinates and return rotation - * matrix. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] h height of point above the ellipsoid (meters). - * @param[out] X geocentric coordinate (meters). - * @param[out] Y geocentric coordinate (meters). - * @param[out] Z geocentric coordinate (meters). - * @param[out] M if the length of the vector is 9, fill with the rotation - * matrix in row-major order. - * - * Let \e v be a unit vector located at (\e lat, \e lon, \e h). We can - * express \e v as \e column vectors in one of two ways - * - in east, north, up coordinates (where the components are relative to a - * local coordinate system at (\e lat, \e lon, \e h)); call this - * representation \e v1. - * - in geocentric \e X, \e Y, \e Z coordinates; call this representation - * \e v0. - * . - * Then we have \e v0 = \e M ⋅ \e v1. - **********************************************************************/ - void Forward(real lat, real lon, real h, real& X, real& Y, real& Z, - std::vector& M) - const { - if (!Init()) - return; - if (M.end() == M.begin() + dim2_) { - real t[dim2_]; - IntForward(lat, lon, h, X, Y, Z, t); - std::copy(t, t + dim2_, M.begin()); - } else - IntForward(lat, lon, h, X, Y, Z, NULL); - } - - /** - * Convert from geocentric to geodetic to coordinates. - * - * @param[in] X geocentric coordinate (meters). - * @param[in] Y geocentric coordinate (meters). - * @param[in] Z geocentric coordinate (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] h height of point above the ellipsoid (meters). - * - * In general, there are multiple solutions and the result which minimizes - * |h |is returned, i.e., (lat, lon) corresponds to - * the closest point on the ellipsoid. If there are still multiple - * solutions with different latitudes (applies only if \e Z = 0), then the - * solution with \e lat > 0 is returned. If there are still multiple - * solutions with different longitudes (applies only if \e X = \e Y = 0) - * then \e lon = 0 is returned. The value of \e h returned satisfies \e h - * ≥ − \e a (1 − e2) / sqrt(1 − - * e2 sin2\e lat). The value of \e lon - * returned is in the range [−180°, 180°]. - **********************************************************************/ - void Reverse(real X, real Y, real Z, real& lat, real& lon, real& h) - const { - if (Init()) - IntReverse(X, Y, Z, lat, lon, h, NULL); - } - - /** - * Convert from geocentric to geodetic to coordinates. - * - * @param[in] X geocentric coordinate (meters). - * @param[in] Y geocentric coordinate (meters). - * @param[in] Z geocentric coordinate (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] h height of point above the ellipsoid (meters). - * @param[out] M if the length of the vector is 9, fill with the rotation - * matrix in row-major order. - * - * Let \e v be a unit vector located at (\e lat, \e lon, \e h). We can - * express \e v as \e column vectors in one of two ways - * - in east, north, up coordinates (where the components are relative to a - * local coordinate system at (\e lat, \e lon, \e h)); call this - * representation \e v1. - * - in geocentric \e X, \e Y, \e Z coordinates; call this representation - * \e v0. - * . - * Then we have \e v1 = MT ⋅ \e v0, where - * MT is the transpose of \e M. - **********************************************************************/ - void Reverse(real X, real Y, real Z, real& lat, real& lon, real& h, - std::vector& M) - const { - if (!Init()) - return; - if (M.end() == M.begin() + dim2_) { - real t[dim2_]; - IntReverse(X, Y, Z, lat, lon, h, t); - std::copy(t, t + dim2_, M.begin()); - } else - IntReverse(X, Y, Z, lat, lon, h, NULL); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return true if the object has been initialized. - **********************************************************************/ - bool Init() const { return _a > 0; } - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const - { return Init() ? _a : Math::NaN(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - Math::real Flattening() const - { return Init() ? _f : Math::NaN(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of Geocentric with the parameters for the WGS84 - * ellipsoid. - **********************************************************************/ - static const Geocentric& WGS84(); - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_GEOCENTRIC_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Geodesic.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Geodesic.hpp deleted file mode 100644 index 00f0a50ef0d5e527b137b1eae5e9ed3b258cb76b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Geodesic.hpp +++ /dev/null @@ -1,977 +0,0 @@ -/** - * \file Geodesic.hpp - * \brief Header for GeographicLib::Geodesic class - * - * Copyright (c) Charles Karney (2009-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEODESIC_HPP) -#define GEOGRAPHICLIB_GEODESIC_HPP 1 - -#include - -#if !defined(GEOGRAPHICLIB_GEODESIC_ORDER) -/** - * The order of the expansions used by Geodesic. - * GEOGRAPHICLIB_GEODESIC_ORDER can be set to any integer in [3, 8]. - **********************************************************************/ -# define GEOGRAPHICLIB_GEODESIC_ORDER \ - (GEOGRAPHICLIB_PRECISION == 2 ? 6 : \ - (GEOGRAPHICLIB_PRECISION == 1 ? 3 : \ - (GEOGRAPHICLIB_PRECISION == 3 ? 7 : 8))) -#endif - -namespace GeographicLib { - - class GeodesicLine; - - /** - * \brief %Geodesic calculations - * - * The shortest path between two points on a ellipsoid at (\e lat1, \e lon1) - * and (\e lat2, \e lon2) is called the geodesic. Its length is \e s12 and - * the geodesic from point 1 to point 2 has azimuths \e azi1 and \e azi2 at - * the two end points. (The azimuth is the heading measured clockwise from - * north. \e azi2 is the "forward" azimuth, i.e., the heading that takes you - * beyond point 2 not back to point 1.) In the figure below, latitude if - * labeled φ, longitude λ (with λ12 = - * λ2 − λ1), and azimuth α. - * - * spheroidal triangle - * - * Given \e lat1, \e lon1, \e azi1, and \e s12, we can determine \e lat2, \e - * lon2, and \e azi2. This is the \e direct geodesic problem and its - * solution is given by the function Geodesic::Direct. (If \e s12 is - * sufficiently large that the geodesic wraps more than halfway around the - * earth, there will be another geodesic between the points with a smaller \e - * s12.) - * - * Given \e lat1, \e lon1, \e lat2, and \e lon2, we can determine \e azi1, \e - * azi2, and \e s12. This is the \e inverse geodesic problem, whose solution - * is given by Geodesic::Inverse. Usually, the solution to the inverse - * problem is unique. In cases where there are multiple solutions (all with - * the same \e s12, of course), all the solutions can be easily generated - * once a particular solution is provided. - * - * The standard way of specifying the direct problem is the specify the - * distance \e s12 to the second point. However it is sometimes useful - * instead to specify the arc length \e a12 (in degrees) on the auxiliary - * sphere. This is a mathematical construct used in solving the geodesic - * problems. The solution of the direct problem in this form is provided by - * Geodesic::ArcDirect. An arc length in excess of 180° indicates that - * the geodesic is not a shortest path. In addition, the arc length between - * an equatorial crossing and the next extremum of latitude for a geodesic is - * 90°. - * - * This class can also calculate several other quantities related to - * geodesics. These are: - * - reduced length. If we fix the first point and increase \e azi1 - * by \e dazi1 (radians), the second point is displaced \e m12 \e dazi1 in - * the direction \e azi2 + 90°. The quantity \e m12 is called - * the "reduced length" and is symmetric under interchange of the two - * points. On a curved surface the reduced length obeys a symmetry - * relation, \e m12 + \e m21 = 0. On a flat surface, we have \e m12 = \e - * s12. The ratio s12/\e m12 gives the azimuthal scale for an - * azimuthal equidistant projection. - * - geodesic scale. Consider a reference geodesic and a second - * geodesic parallel to this one at point 1 and separated by a small - * distance \e dt. The separation of the two geodesics at point 2 is \e - * M12 \e dt where \e M12 is called the "geodesic scale". \e M21 is - * defined similarly (with the geodesics being parallel at point 2). On a - * flat surface, we have \e M12 = \e M21 = 1. The quantity 1/\e M12 gives - * the scale of the Cassini-Soldner projection. - * - area. The area between the geodesic from point 1 to point 2 and - * the equation is represented by \e S12; it is the area, measured - * counter-clockwise, of the geodesic quadrilateral with corners - * (lat1,lon1), (0,lon1), (0,lon2), and - * (lat2,lon2). It can be used to compute the area of any - * geodesic polygon. - * - * Overloaded versions of Geodesic::Direct, Geodesic::ArcDirect, and - * Geodesic::Inverse allow these quantities to be returned. In addition - * there are general functions Geodesic::GenDirect, and Geodesic::GenInverse - * which allow an arbitrary set of results to be computed. The quantities \e - * m12, \e M12, \e M21 which all specify the behavior of nearby geodesics - * obey addition rules. If points 1, 2, and 3 all lie on a single geodesic, - * then the following rules hold: - * - \e s13 = \e s12 + \e s23 - * - \e a13 = \e a12 + \e a23 - * - \e S13 = \e S12 + \e S23 - * - \e m13 = \e m12 \e M23 + \e m23 \e M21 - * - \e M13 = \e M12 \e M23 − (1 − \e M12 \e M21) \e m23 / \e m12 - * - \e M31 = \e M32 \e M21 − (1 − \e M23 \e M32) \e m12 / \e m23 - * - * Additional functionality is provided by the GeodesicLine class, which - * allows a sequence of points along a geodesic to be computed. - * - * The shortest distance returned by the solution of the inverse problem is - * (obviously) uniquely defined. However, in a few special cases there are - * multiple azimuths which yield the same shortest distance. Here is a - * catalog of those cases: - * - \e lat1 = −\e lat2 (with neither point at a pole). If \e azi1 = - * \e azi2, the geodesic is unique. Otherwise there are two geodesics and - * the second one is obtained by setting [\e azi1, \e azi2] → [\e - * azi2, \e azi1], [\e M12, \e M21] → [\e M21, \e M12], \e S12 → - * −\e S12. (This occurs when the longitude difference is near - * ±180° for oblate ellipsoids.) - * - \e lon2 = \e lon1 ± 180° (with neither point at a pole). If - * \e azi1 = 0° or ±180°, the geodesic is unique. Otherwise - * there are two geodesics and the second one is obtained by setting [\e - * azi1, \e azi2] → [−\e azi1, −\e azi2], \e S12 → - * −\e S12. (This occurs when \e lat2 is near −\e lat1 for - * prolate ellipsoids.) - * - Points 1 and 2 at opposite poles. There are infinitely many geodesics - * which can be generated by setting [\e azi1, \e azi2] → [\e azi1, \e - * azi2] + [\e d, −\e d], for arbitrary \e d. (For spheres, this - * prescription applies when points 1 and 2 are antipodal.) - * - \e s12 = 0 (coincident points). There are infinitely many geodesics - * which can be generated by setting [\e azi1, \e azi2] → - * [\e azi1, \e azi2] + [\e d, \e d], for arbitrary \e d. - * - * The calculations are accurate to better than 15 nm (15 nanometers) for the - * WGS84 ellipsoid. See Sec. 9 of - * arXiv:1102.1215v1 for - * details. The algorithms used by this class are based on series expansions - * using the flattening \e f as a small parameter. These are only accurate - * for |f| < 0.02; however reasonably accurate results will be - * obtained for |f| < 0.2. Here is a table of the approximate - * maximum error (expressed as a distance) for an ellipsoid with the same - * equatorial radius as the WGS84 ellipsoid and different values of the - * flattening.
-   *     |f|      error
-   *     0.01     25 nm
-   *     0.02     30 nm
-   *     0.05     10 um
-   *     0.1     1.5 mm
-   *     0.2     300 mm
-   *
- * For very eccentric ellipsoids, use GeodesicExact instead. - * - * The algorithms are described in - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * - * geod-addenda.html. - * . - * For more information on geodesics see \ref geodesic. - * - * Example of use: - * \include example-Geodesic.cpp - * - * GeodSolve is a command-line utility - * providing access to the functionality of Geodesic and GeodesicLine. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT Geodesic { - private: - typedef Math::real real; - friend class GeodesicLine; - static const int nA1_ = GEOGRAPHICLIB_GEODESIC_ORDER; - static const int nC1_ = GEOGRAPHICLIB_GEODESIC_ORDER; - static const int nC1p_ = GEOGRAPHICLIB_GEODESIC_ORDER; - static const int nA2_ = GEOGRAPHICLIB_GEODESIC_ORDER; - static const int nC2_ = GEOGRAPHICLIB_GEODESIC_ORDER; - static const int nA3_ = GEOGRAPHICLIB_GEODESIC_ORDER; - static const int nA3x_ = nA3_; - static const int nC3_ = GEOGRAPHICLIB_GEODESIC_ORDER; - static const int nC3x_ = (nC3_ * (nC3_ - 1)) / 2; - static const int nC4_ = GEOGRAPHICLIB_GEODESIC_ORDER; - static const int nC4x_ = (nC4_ * (nC4_ + 1)) / 2; - // Size for temporary array - // nC = max(max(nC1_, nC1p_, nC2_) + 1, max(nC3_, nC4_)) - static const int nC_ = GEOGRAPHICLIB_GEODESIC_ORDER + 1; - static const unsigned maxit1_ = 20; - unsigned maxit2_; - real tiny_, tol0_, tol1_, tol2_, tolb_, xthresh_; - - enum captype { - CAP_NONE = 0U, - CAP_C1 = 1U<<0, - CAP_C1p = 1U<<1, - CAP_C2 = 1U<<2, - CAP_C3 = 1U<<3, - CAP_C4 = 1U<<4, - CAP_ALL = 0x1FU, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80U, - OUT_MASK = 0xFF80U, // Includes LONG_UNROLL - }; - - static real SinCosSeries(bool sinp, - real sinx, real cosx, const real c[], int n); - static real Astroid(real x, real y); - - real _a, _f, _f1, _e2, _ep2, _n, _b, _c2, _etol2; - real _A3x[nA3x_], _C3x[nC3x_], _C4x[nC4x_]; - - void Lengths(real eps, real sig12, - real ssig1, real csig1, real dn1, - real ssig2, real csig2, real dn2, - real cbet1, real cbet2, unsigned outmask, - real& s12s, real& m12a, real& m0, - real& M12, real& M21, real Ca[]) const; - real InverseStart(real sbet1, real cbet1, real dn1, - real sbet2, real cbet2, real dn2, - real lam12, real slam12, real clam12, - real& salp1, real& calp1, - real& salp2, real& calp2, real& dnm, - real Ca[]) const; - real Lambda12(real sbet1, real cbet1, real dn1, - real sbet2, real cbet2, real dn2, - real salp1, real calp1, real slam120, real clam120, - real& salp2, real& calp2, real& sig12, - real& ssig1, real& csig1, real& ssig2, real& csig2, - real& eps, real& domg12, - bool diffp, real& dlam12, real Ca[]) const; - real GenInverse(real lat1, real lon1, real lat2, real lon2, - unsigned outmask, real& s12, - real& salp1, real& calp1, real& salp2, real& calp2, - real& m12, real& M12, real& M21, real& S12) const; - - // These are Maxima generated functions to provide series approximations to - // the integrals for the ellipsoidal geodesic. - static real A1m1f(real eps); - static void C1f(real eps, real c[]); - static void C1pf(real eps, real c[]); - static real A2m1f(real eps); - static void C2f(real eps, real c[]); - - void A3coeff(); - real A3f(real eps) const; - void C3coeff(); - void C3f(real eps, real c[]) const; - void C4coeff(); - void C4f(real k2, real c[]) const; - - public: - - /** - * Bit masks for what calculations to do. These masks do double duty. - * They signify to the GeodesicLine::GeodesicLine constructor and to - * Geodesic::Line what capabilities should be included in the GeodesicLine - * object. They also specify which results to return in the general - * routines Geodesic::GenDirect and Geodesic::GenInverse routines. - * GeodesicLine::mask is a duplication of this enum. - **********************************************************************/ - enum mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLine because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7 | CAP_NONE, - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8 | CAP_C3, - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLine because this is included - * by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9 | CAP_NONE, - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10 | CAP_C1, - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = 1U<<11 | CAP_C1 | CAP_C1p, - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = 1U<<12 | CAP_C1 | CAP_C2, - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = 1U<<13 | CAP_C1 | CAP_C2, - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14 | CAP_C4, - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * All capabilities, calculate everything. (LONG_UNROLL is not - * included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = OUT_ALL| CAP_ALL, - }; - - /** \name Constructor - **********************************************************************/ - ///@{ - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @exception GeographicErr if \e a or (1 − \e f) \e a is not - * positive. - **********************************************************************/ - Geodesic(real a, real f); - ///@} - - /** \name Direct geodesic problem specified in terms of distance. - **********************************************************************/ - ///@{ - /** - * Solve the direct geodesic problem where the length of the geodesic - * is specified in terms of distance. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * \e lat1 should be in the range [−90°, 90°]. The values of - * \e lon2 and \e azi2 returned are in the range [−180°, - * 180°]. - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - * - * The following functions are overloaded versions of Geodesic::Direct - * which omit some of the output parameters. Note, however, that the arc - * length is always computed and returned as the function value. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2, - real& m12, real& M12, real& M21, real& S12) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE | AREA, - lat2, lon2, azi2, t, m12, M12, M21, S12); - } - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE, - lat2, lon2, t, t, t, t, t, t); - } - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH, - lat2, lon2, azi2, t, t, t, t, t); - } - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2, real& m12) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH | REDUCEDLENGTH, - lat2, lon2, azi2, t, m12, t, t, t); - } - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2, - real& M12, real& M21) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH | GEODESICSCALE, - lat2, lon2, azi2, t, t, M12, M21, t); - } - - /** - * See the documentation for Geodesic::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2, - real& m12, real& M12, real& M21) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE, - lat2, lon2, azi2, t, m12, M12, M21, t); - } - ///@} - - /** \name Direct geodesic problem specified in terms of arc length. - **********************************************************************/ - ///@{ - /** - * Solve the direct geodesic problem where the length of the geodesic - * is specified in terms of arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * - * \e lat1 should be in the range [−90°, 90°]. The values of - * \e lon2 and \e azi2 returned are in the range [−180°, - * 180°]. - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - * - * The following functions are overloaded versions of Geodesic::Direct - * which omit some of the output parameters. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, real& s12, - real& m12, real& M12, real& M21, real& S12) - const { - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - REDUCEDLENGTH | GEODESICSCALE | AREA, - lat2, lon2, azi2, s12, m12, M12, M21, S12); - } - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE, - lat2, lon2, t, t, t, t, t, t); - } - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH, - lat2, lon2, azi2, t, t, t, t, t); - } - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, real& s12) - const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE, - lat2, lon2, azi2, s12, t, t, t, t); - } - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, - real& s12, real& m12) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - REDUCEDLENGTH, - lat2, lon2, azi2, s12, m12, t, t, t); - } - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, real& s12, - real& M12, real& M21) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - GEODESICSCALE, - lat2, lon2, azi2, s12, t, M12, M21, t); - } - - /** - * See the documentation for Geodesic::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, real& s12, - real& m12, real& M12, real& M21) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - REDUCEDLENGTH | GEODESICSCALE, - lat2, lon2, azi2, s12, m12, M12, M21, t); - } - ///@} - - /** \name General version of the direct geodesic solution. - **********************************************************************/ - ///@{ - - /** - * The general direct geodesic problem. Geodesic::Direct and - * Geodesic::ArcDirect are defined in terms of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] arcmode boolean flag determining the meaning of the \e - * s12_a12. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param[in] outmask a bitor'ed combination of Geodesic::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The Geodesic::mask values possible for \e outmask are - * - \e outmask |= Geodesic::LATITUDE for the latitude \e lat2; - * - \e outmask |= Geodesic::LONGITUDE for the latitude \e lon2; - * - \e outmask |= Geodesic::AZIMUTH for the latitude \e azi2; - * - \e outmask |= Geodesic::DISTANCE for the distance \e s12; - * - \e outmask |= Geodesic::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= Geodesic::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= Geodesic::AREA for the area \e S12; - * - \e outmask |= Geodesic::ALL for all of the above; - * - \e outmask |= Geodesic::LONG_UNROLL to unroll \e lon2 instead of - * wrapping it into the range [−180°, 180°]. - * . - * The function value \e a12 is always computed and returned and this - * equals \e s12_a12 is \e arcmode is true. If \e outmask includes - * Geodesic::DISTANCE and \e arcmode is false, then \e s12 = \e s12_a12. - * It is not necessary to include Geodesic::DISTANCE_IN in \e outmask; this - * is automatically included is \e arcmode is false. - * - * With the Geodesic::LONG_UNROLL bit set, the quantity \e lon2 − \e - * lon1 indicates how many times and in what sense the geodesic encircles - * the ellipsoid. - **********************************************************************/ - Math::real GenDirect(real lat1, real lon1, real azi1, - bool arcmode, real s12_a12, unsigned outmask, - real& lat2, real& lon2, real& azi2, - real& s12, real& m12, real& M12, real& M21, - real& S12) const; - ///@} - - /** \name Inverse geodesic problem. - **********************************************************************/ - ///@{ - /** - * Solve the inverse geodesic problem. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] azi1 azimuth at point 1 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * \e lat1 and \e lat2 should be in the range [−90°, 90°]. - * The values of \e azi1 and \e azi2 returned are in the range - * [−180°, 180°]. - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. - * - * The solution to the inverse problem is found using Newton's method. If - * this fails to converge (this is very unlikely in geodetic applications - * but does occur for very eccentric ellipsoids), then the bisection method - * is used to refine the solution. - * - * The following functions are overloaded versions of Geodesic::Inverse - * which omit some of the output parameters. Note, however, that the arc - * length is always computed and returned as the function value. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2, real& m12, - real& M12, real& M21, real& S12) const { - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE | AREA, - s12, azi1, azi2, m12, M12, M21, S12); - } - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12) const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE, - s12, t, t, t, t, t, t); - } - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& azi1, real& azi2) const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - AZIMUTH, - t, azi1, azi2, t, t, t, t); - } - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2) - const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH, - s12, azi1, azi2, t, t, t, t); - } - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2, real& m12) - const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | REDUCEDLENGTH, - s12, azi1, azi2, m12, t, t, t); - } - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2, - real& M12, real& M21) const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | GEODESICSCALE, - s12, azi1, azi2, t, M12, M21, t); - } - - /** - * See the documentation for Geodesic::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2, real& m12, - real& M12, real& M21) const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE, - s12, azi1, azi2, m12, M12, M21, t); - } - ///@} - - /** \name General version of inverse geodesic solution. - **********************************************************************/ - ///@{ - /** - * The general inverse geodesic calculation. Geodesic::Inverse is defined - * in terms of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] outmask a bitor'ed combination of Geodesic::mask values - * specifying which of the following parameters should be set. - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] azi1 azimuth at point 1 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The Geodesic::mask values possible for \e outmask are - * - \e outmask |= Geodesic::DISTANCE for the distance \e s12; - * - \e outmask |= Geodesic::AZIMUTH for the latitude \e azi2; - * - \e outmask |= Geodesic::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= Geodesic::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= Geodesic::AREA for the area \e S12; - * - \e outmask |= Geodesic::ALL for all of the above. - * . - * The arc length is always computed and returned as the function value. - **********************************************************************/ - Math::real GenInverse(real lat1, real lon1, real lat2, real lon2, - unsigned outmask, - real& s12, real& azi1, real& azi2, - real& m12, real& M12, real& M21, real& S12) const; - ///@} - - /** \name Interface to GeodesicLine. - **********************************************************************/ - ///@{ - - /** - * Set up to compute several points on a single geodesic. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * The Geodesic::mask values are - * - \e caps |= Geodesic::LATITUDE for the latitude \e lat2; this is - * added automatically; - * - \e caps |= Geodesic::LONGITUDE for the latitude \e lon2; - * - \e caps |= Geodesic::AZIMUTH for the azimuth \e azi2; this is - * added automatically; - * - \e caps |= Geodesic::DISTANCE for the distance \e s12; - * - \e caps |= Geodesic::REDUCEDLENGTH for the reduced length \e m12; - * - \e caps |= Geodesic::GEODESICSCALE for the geodesic scales \e M12 - * and \e M21; - * - \e caps |= Geodesic::AREA for the area \e S12; - * - \e caps |= Geodesic::DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length; - * - \e caps |= Geodesic::ALL for all of the above. - * . - * The default value of \e caps is Geodesic::ALL. - * - * If the point is at a pole, the azimuth is defined by keeping \e lon1 - * fixed, writing \e lat1 = ±(90 − ε), and taking the - * limit ε → 0+. - **********************************************************************/ - GeodesicLine Line(real lat1, real lon1, real azi1, unsigned caps = ALL) - const; - - /** - * Define a GeodesicLine in terms of the inverse geodesic problem. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the inverse geodesic problem. - * - * \e lat1 and \e lat2 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLine InverseLine(real lat1, real lon1, real lat2, real lon2, - unsigned caps = ALL) const; - - /** - * Define a GeodesicLine in terms of the direct geodesic problem specified - * in terms of distance. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLine DirectLine(real lat1, real lon1, real azi1, real s12, - unsigned caps = ALL) const; - - /** - * Define a GeodesicLine in terms of the direct geodesic problem specified - * in terms of arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLine ArcDirectLine(real lat1, real lon1, real azi1, real a12, - unsigned caps = ALL) const; - - /** - * Define a GeodesicLine in terms of the direct geodesic problem specified - * in terms of either distance or arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] arcmode boolean flag determining the meaning of the \e - * s12_a12. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param[in] caps bitor'ed combination of Geodesic::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * @return a GeodesicLine object. - * - * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLine GenDirectLine(real lat1, real lon1, real azi1, - bool arcmode, real s12_a12, - unsigned caps = ALL) const; - ///@} - - /** \name Inspector functions. - **********************************************************************/ - ///@{ - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _a; } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _f; } - - /** - * @return total area of ellipsoid in meters2. The area of a - * polygon encircling a pole can be found by adding - * Geodesic::EllipsoidArea()/2 to the sum of \e S12 for each side of the - * polygon. - **********************************************************************/ - Math::real EllipsoidArea() const - { return 4 * Math::pi() * _c2; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of Geodesic with the parameters for the WGS84 - * ellipsoid. - **********************************************************************/ - static const Geodesic& WGS84(); - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_GEODESIC_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicExact.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicExact.hpp deleted file mode 100644 index 65c57e5dbde170c9341ea231924a6bceaab00e6d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicExact.hpp +++ /dev/null @@ -1,869 +0,0 @@ -/** - * \file GeodesicExact.hpp - * \brief Header for GeographicLib::GeodesicExact class - * - * Copyright (c) Charles Karney (2012-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEODESICEXACT_HPP) -#define GEOGRAPHICLIB_GEODESICEXACT_HPP 1 - -#include -#include - -#if !defined(GEOGRAPHICLIB_GEODESICEXACT_ORDER) -/** - * The order of the expansions used by GeodesicExact. - **********************************************************************/ -# define GEOGRAPHICLIB_GEODESICEXACT_ORDER 30 -#endif - -namespace GeographicLib { - - class GeodesicLineExact; - - /** - * \brief Exact geodesic calculations - * - * The equations for geodesics on an ellipsoid can be expressed in terms of - * incomplete elliptic integrals. The Geodesic class expands these integrals - * in a series in the flattening \e f and this provides an accurate solution - * for \e f ∈ [-0.01, 0.01]. The GeodesicExact class computes the - * ellitpic integrals directly and so provides a solution which is valid for - * all \e f. However, in practice, its use should be limited to about - * b/\e a ∈ [0.01, 100] or \e f ∈ [−99, 0.99]. - * - * For the WGS84 ellipsoid, these classes are 2--3 times \e slower than the - * series solution and 2--3 times \e less \e accurate (because it's less easy - * to control round-off errors with the elliptic integral formulation); i.e., - * the error is about 40 nm (40 nanometers) instead of 15 nm. However the - * error in the series solution scales as f7 while the - * error in the elliptic integral solution depends weakly on \e f. If the - * quarter meridian distance is 10000 km and the ratio b/\e a = 1 - * − \e f is varied then the approximate maximum error (expressed as a - * distance) is 
-   *       1 - f  error (nm)
-   *       1/128     387
-   *       1/64      345
-   *       1/32      269
-   *       1/16      210
-   *       1/8       115
-   *       1/4        69
-   *       1/2        36
-   *         1        15
-   *         2        25
-   *         4        96
-   *         8       318
-   *        16       985
-   *        32      2352
-   *        64      6008
-   *       128     19024
-   *
- * - * The computation of the area in these classes is via a 30th order series. - * This gives accurate results for b/\e a ∈ [1/2, 2]; the - * accuracy is about 8 decimal digits for b/\e a ∈ [1/4, 4]. - * - * See \ref geodellip for the formulation. See the documentation on the - * Geodesic class for additional information on the geodesic problems. - * - * Example of use: - * \include example-GeodesicExact.cpp - * - * GeodSolve is a command-line utility - * providing access to the functionality of GeodesicExact and - * GeodesicLineExact (via the -E option). - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT GeodesicExact { - private: - typedef Math::real real; - friend class GeodesicLineExact; - static const int nC4_ = GEOGRAPHICLIB_GEODESICEXACT_ORDER; - static const int nC4x_ = (nC4_ * (nC4_ + 1)) / 2; - static const unsigned maxit1_ = 20; - unsigned maxit2_; - real tiny_, tol0_, tol1_, tol2_, tolb_, xthresh_; - - enum captype { - CAP_NONE = 0U, - CAP_E = 1U<<0, - // Skip 1U<<1 for compatibility with Geodesic (not required) - CAP_D = 1U<<2, - CAP_H = 1U<<3, - CAP_C4 = 1U<<4, - CAP_ALL = 0x1FU, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80U, - OUT_MASK = 0xFF80U, // Includes LONG_UNROLL - }; - - static real CosSeries(real sinx, real cosx, const real c[], int n); - static real Astroid(real x, real y); - - real _a, _f, _f1, _e2, _ep2, _n, _b, _c2, _etol2; - real _C4x[nC4x_]; - - void Lengths(const EllipticFunction& E, - real sig12, - real ssig1, real csig1, real dn1, - real ssig2, real csig2, real dn2, - real cbet1, real cbet2, unsigned outmask, - real& s12s, real& m12a, real& m0, - real& M12, real& M21) const; - real InverseStart(EllipticFunction& E, - real sbet1, real cbet1, real dn1, - real sbet2, real cbet2, real dn2, - real lam12, real slam12, real clam12, - real& salp1, real& calp1, - real& salp2, real& calp2, real& dnm) const; - real Lambda12(real sbet1, real cbet1, real dn1, - real sbet2, real cbet2, real dn2, - real salp1, real calp1, real slam120, real clam120, - real& salp2, real& calp2, real& sig12, - real& ssig1, real& csig1, real& ssig2, real& csig2, - EllipticFunction& E, - real& domg12, bool diffp, real& dlam12) const; - real GenInverse(real lat1, real lon1, real lat2, real lon2, - unsigned outmask, real& s12, - real& salp1, real& calp1, real& salp2, real& calp2, - real& m12, real& M12, real& M21, real& S12) const; - - // These are Maxima generated functions to provide series approximations to - // the integrals for the area. - void C4coeff(); - void C4f(real k2, real c[]) const; - // Large coefficients are split so that lo contains the low 52 bits and hi - // the rest. This choice avoids double rounding with doubles and higher - // precision types. float coefficients will suffer double rounding; - // however the accuracy is already lousy for floats. - static Math::real reale(long long hi, long long lo) { - using std::ldexp; - return ldexp(real(hi), 52) + lo; - } - - public: - - /** - * Bit masks for what calculations to do. These masks do double duty. - * They signify to the GeodesicLineExact::GeodesicLineExact constructor and - * to GeodesicExact::Line what capabilities should be included in the - * GeodesicLineExact object. They also specify which results to return in - * the general routines GeodesicExact::GenDirect and - * GeodesicExact::GenInverse routines. GeodesicLineExact::mask is a - * duplication of this enum. - **********************************************************************/ - enum mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLineExact because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7 | CAP_NONE, - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8 | CAP_H, - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLineExact because this is - * included by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9 | CAP_NONE, - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10 | CAP_E, - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = 1U<<11 | CAP_E, - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = 1U<<12 | CAP_D, - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = 1U<<13 | CAP_D, - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14 | CAP_C4, - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * All capabilities, calculate everything. (LONG_UNROLL is not - * included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = OUT_ALL| CAP_ALL, - }; - - /** \name Constructor - **********************************************************************/ - ///@{ - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @exception GeographicErr if \e a or (1 − \e f) \e a is not - * positive. - **********************************************************************/ - GeodesicExact(real a, real f); - ///@} - - /** \name Direct geodesic problem specified in terms of distance. - **********************************************************************/ - ///@{ - /** - * Perform the direct geodesic calculation where the length of the geodesic - * is specified in terms of distance. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * signed. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * \e lat1 should be in the range [−90°, 90°]. The values of - * \e lon2 and \e azi2 returned are in the range [−180°, - * 180°]. - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - * - * The following functions are overloaded versions of GeodesicExact::Direct - * which omit some of the output parameters. Note, however, that the arc - * length is always computed and returned as the function value. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2, - real& m12, real& M12, real& M21, real& S12) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE | AREA, - lat2, lon2, azi2, t, m12, M12, M21, S12); - } - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE, - lat2, lon2, t, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH, - lat2, lon2, azi2, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2, real& m12) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH | REDUCEDLENGTH, - lat2, lon2, azi2, t, m12, t, t, t); - } - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2, - real& M12, real& M21) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH | GEODESICSCALE, - lat2, lon2, azi2, t, t, M12, M21, t); - } - - /** - * See the documentation for GeodesicExact::Direct. - **********************************************************************/ - Math::real Direct(real lat1, real lon1, real azi1, real s12, - real& lat2, real& lon2, real& azi2, - real& m12, real& M12, real& M21) - const { - real t; - return GenDirect(lat1, lon1, azi1, false, s12, - LATITUDE | LONGITUDE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE, - lat2, lon2, azi2, t, m12, M12, M21, t); - } - ///@} - - /** \name Direct geodesic problem specified in terms of arc length. - **********************************************************************/ - ///@{ - /** - * Perform the direct geodesic calculation where the length of the geodesic - * is specified in terms of arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be signed. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * - * \e lat1 should be in the range [−90°, 90°]. The values of - * \e lon2 and \e azi2 returned are in the range [−180°, - * 180°]. - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - * - * The following functions are overloaded versions of GeodesicExact::Direct - * which omit some of the output parameters. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, real& s12, - real& m12, real& M12, real& M21, real& S12) - const { - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - REDUCEDLENGTH | GEODESICSCALE | AREA, - lat2, lon2, azi2, s12, m12, M12, M21, S12); - } - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE, - lat2, lon2, t, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH, - lat2, lon2, azi2, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, real& s12) - const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE, - lat2, lon2, azi2, s12, t, t, t, t); - } - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, - real& s12, real& m12) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - REDUCEDLENGTH, - lat2, lon2, azi2, s12, m12, t, t, t); - } - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, real& s12, - real& M12, real& M21) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - GEODESICSCALE, - lat2, lon2, azi2, s12, t, M12, M21, t); - } - - /** - * See the documentation for GeodesicExact::ArcDirect. - **********************************************************************/ - void ArcDirect(real lat1, real lon1, real azi1, real a12, - real& lat2, real& lon2, real& azi2, real& s12, - real& m12, real& M12, real& M21) const { - real t; - GenDirect(lat1, lon1, azi1, true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - REDUCEDLENGTH | GEODESICSCALE, - lat2, lon2, azi2, s12, m12, M12, M21, t); - } - ///@} - - /** \name General version of the direct geodesic solution. - **********************************************************************/ - ///@{ - - /** - * The general direct geodesic calculation. GeodesicExact::Direct and - * GeodesicExact::ArcDirect are defined in terms of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be signed. - * @param[in] outmask a bitor'ed combination of GeodesicExact::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The GeodesicExact::mask values possible for \e outmask are - * - \e outmask |= GeodesicExact::LATITUDE for the latitude \e lat2; - * - \e outmask |= GeodesicExact::LONGITUDE for the latitude \e lon2; - * - \e outmask |= GeodesicExact::AZIMUTH for the latitude \e azi2; - * - \e outmask |= GeodesicExact::DISTANCE for the distance \e s12; - * - \e outmask |= GeodesicExact::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= GeodesicExact::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= GeodesicExact::AREA for the area \e S12; - * - \e outmask |= GeodesicExact::ALL for all of the above; - * - \e outmask |= GeodesicExact::LONG_UNROLL to unroll \e lon2 instead of - * wrapping it into the range [−180°, 180°]. - * . - * The function value \e a12 is always computed and returned and this - * equals \e s12_a12 is \e arcmode is true. If \e outmask includes - * GeodesicExact::DISTANCE and \e arcmode is false, then \e s12 = \e - * s12_a12. It is not necessary to include GeodesicExact::DISTANCE_IN in - * \e outmask; this is automatically included is \e arcmode is false. - * - * With the GeodesicExact::LONG_UNROLL bit set, the quantity \e lon2 - * − \e lon1 indicates how many times and in what sense the geodesic - * encircles the ellipsoid. - **********************************************************************/ - Math::real GenDirect(real lat1, real lon1, real azi1, - bool arcmode, real s12_a12, unsigned outmask, - real& lat2, real& lon2, real& azi2, - real& s12, real& m12, real& M12, real& M21, - real& S12) const; - ///@} - - /** \name Inverse geodesic problem. - **********************************************************************/ - ///@{ - /** - * Perform the inverse geodesic calculation. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] azi1 azimuth at point 1 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * \e lat1 and \e lat2 should be in the range [−90°, 90°]. - * The values of \e azi1 and \e azi2 returned are in the range - * [−180°, 180°]. - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), - * and taking the limit ε → 0+. - * - * The following functions are overloaded versions of - * GeodesicExact::Inverse which omit some of the output parameters. Note, - * however, that the arc length is always computed and returned as the - * function value. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2, real& m12, - real& M12, real& M21, real& S12) const { - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE | AREA, - s12, azi1, azi2, m12, M12, M21, S12); - } - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12) const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE, - s12, t, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& azi1, real& azi2) const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - AZIMUTH, - t, azi1, azi2, t, t, t, t); - } - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2) - const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH, - s12, azi1, azi2, t, t, t, t); - } - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2, real& m12) - const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | REDUCEDLENGTH, - s12, azi1, azi2, m12, t, t, t); - } - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2, - real& M12, real& M21) const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | GEODESICSCALE, - s12, azi1, azi2, t, M12, M21, t); - } - - /** - * See the documentation for GeodesicExact::Inverse. - **********************************************************************/ - Math::real Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi1, real& azi2, real& m12, - real& M12, real& M21) const { - real t; - return GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE, - s12, azi1, azi2, m12, M12, M21, t); - } - ///@} - - /** \name General version of inverse geodesic solution. - **********************************************************************/ - ///@{ - /** - * The general inverse geodesic calculation. GeodesicExact::Inverse is - * defined in terms of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] outmask a bitor'ed combination of GeodesicExact::mask values - * specifying which of the following parameters should be set. - * @param[out] s12 distance between point 1 and point 2 (meters). - * @param[out] azi1 azimuth at point 1 (degrees). - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters). - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless). - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless). - * @param[out] S12 area under the geodesic (meters2). - * @return \e a12 arc length of between point 1 and point 2 (degrees). - * - * The GeodesicExact::mask values possible for \e outmask are - * - \e outmask |= GeodesicExact::DISTANCE for the distance \e s12; - * - \e outmask |= GeodesicExact::AZIMUTH for the latitude \e azi2; - * - \e outmask |= GeodesicExact::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= GeodesicExact::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= GeodesicExact::AREA for the area \e S12; - * - \e outmask |= GeodesicExact::ALL for all of the above. - * . - * The arc length is always computed and returned as the function value. - **********************************************************************/ - Math::real GenInverse(real lat1, real lon1, real lat2, real lon2, - unsigned outmask, - real& s12, real& azi1, real& azi2, - real& m12, real& M12, real& M21, real& S12) const; - ///@} - - /** \name Interface to GeodesicLineExact. - **********************************************************************/ - ///@{ - - /** - * Set up to compute several points on a single geodesic. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * The GeodesicExact::mask values are - * - \e caps |= GeodesicExact::LATITUDE for the latitude \e lat2; this is - * added automatically; - * - \e caps |= GeodesicExact::LONGITUDE for the latitude \e lon2; - * - \e caps |= GeodesicExact::AZIMUTH for the azimuth \e azi2; this is - * added automatically; - * - \e caps |= GeodesicExact::DISTANCE for the distance \e s12; - * - \e caps |= GeodesicExact::REDUCEDLENGTH for the reduced length \e m12; - * - \e caps |= GeodesicExact::GEODESICSCALE for the geodesic scales \e M12 - * and \e M21; - * - \e caps |= GeodesicExact::AREA for the area \e S12; - * - \e caps |= GeodesicExact::DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length; - * - \e caps |= GeodesicExact::ALL for all of the above. - * . - * The default value of \e caps is GeodesicExact::ALL which turns on all - * the capabilities. - * - * If the point is at a pole, the azimuth is defined by keeping \e lon1 - * fixed, writing \e lat1 = ±(90 − ε), and taking the - * limit ε → 0+. - **********************************************************************/ - GeodesicLineExact Line(real lat1, real lon1, real azi1, - unsigned caps = ALL) const; - - /** - * Define a GeodesicLineExact in terms of the inverse geodesic problem. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * This function sets point 3 of the GeodesicLineExact to correspond to - * point 2 of the inverse geodesic problem. - * - * \e lat1 and \e lat2 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLineExact InverseLine(real lat1, real lon1, real lat2, real lon2, - unsigned caps = ALL) const; - - /** - * Define a GeodesicLineExact in terms of the direct geodesic problem - * specified in terms of distance. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * This function sets point 3 of the GeodesicLineExact to correspond to - * point 2 of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLineExact DirectLine(real lat1, real lon1, real azi1, real s12, - unsigned caps = ALL) const; - - /** - * Define a GeodesicLineExact in terms of the direct geodesic problem - * specified in terms of arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * This function sets point 3 of the GeodesicLineExact to correspond to - * point 2 of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLineExact ArcDirectLine(real lat1, real lon1, real azi1, real a12, - unsigned caps = ALL) const; - - /** - * Define a GeodesicLineExact in terms of the direct geodesic problem - * specified in terms of either distance or arc length. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] arcmode boolean flag determining the meaning of the \e - * s12_a12. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param[in] caps bitor'ed combination of GeodesicExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLineExact::Position. - * @return a GeodesicLineExact object. - * - * This function sets point 3 of the GeodesicLineExact to correspond to - * point 2 of the direct geodesic problem. - * - * \e lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - GeodesicLineExact GenDirectLine(real lat1, real lon1, real azi1, - bool arcmode, real s12_a12, - unsigned caps = ALL) const; - ///@} - - /** \name Inspector functions. - **********************************************************************/ - ///@{ - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _a; } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _f; } - - /** - * @return total area of ellipsoid in meters2. The area of a - * polygon encircling a pole can be found by adding - * GeodesicExact::EllipsoidArea()/2 to the sum of \e S12 for each side of - * the polygon. - **********************************************************************/ - Math::real EllipsoidArea() const - { return 4 * Math::pi() * _c2; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of GeodesicExact with the parameters for the - * WGS84 ellipsoid. - **********************************************************************/ - static const GeodesicExact& WGS84(); - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_GEODESICEXACT_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicLine.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicLine.hpp deleted file mode 100644 index 3dc4bcfdab3809a1b6cbb30494627090a4f97c23..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicLine.hpp +++ /dev/null @@ -1,708 +0,0 @@ -/** - * \file GeodesicLine.hpp - * \brief Header for GeographicLib::GeodesicLine class - * - * Copyright (c) Charles Karney (2009-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEODESICLINE_HPP) -#define GEOGRAPHICLIB_GEODESICLINE_HPP 1 - -#include -#include - -namespace GeographicLib { - - /** - * \brief A geodesic line - * - * GeodesicLine facilitates the determination of a series of points on a - * single geodesic. The starting point (\e lat1, \e lon1) and the azimuth \e - * azi1 are specified in the constructor; alternatively, the Geodesic::Line - * method can be used to create a GeodesicLine. GeodesicLine.Position - * returns the location of point 2 a distance \e s12 along the geodesic. In - * addition, GeodesicLine.ArcPosition gives the position of point 2 an arc - * length \e a12 along the geodesic. - * - * You can register the position of a reference point 3 a distance (arc - * length), \e s13 (\e a13) along the geodesic with the - * GeodesicLine.SetDistance (GeodesicLine.SetArc) functions. Points a - * fractional distance along the line can be found by providing, for example, - * 0.5 * Distance() as an argument to GeodesicLine.Position. The - * Geodesic::InverseLine or Geodesic::DirectLine methods return GeodesicLine - * objects with point 3 set to the point 2 of the corresponding geodesic - * problem. GeodesicLine objects created with the public constructor or with - * Geodesic::Line have \e s13 and \e a13 set to NaNs. - * - * The default copy constructor and assignment operators work with this - * class. Similarly, a vector can be used to hold GeodesicLine objects. - * - * The calculations are accurate to better than 15 nm (15 nanometers). See - * Sec. 9 of - * arXiv:1102.1215v1 for - * details. The algorithms used by this class are based on series expansions - * using the flattening \e f as a small parameter. These are only accurate - * for |f| < 0.02; however reasonably accurate results will be - * obtained for |f| < 0.2. For very eccentric ellipsoids, use - * GeodesicLineExact instead. - * - * The algorithms are described in - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * - * geod-addenda.html. - * . - * For more information on geodesics see \ref geodesic. - * - * Example of use: - * \include example-GeodesicLine.cpp - * - * GeodSolve is a command-line utility - * providing access to the functionality of Geodesic and GeodesicLine. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT GeodesicLine { - private: - typedef Math::real real; - friend class Geodesic; - static const int nC1_ = Geodesic::nC1_; - static const int nC1p_ = Geodesic::nC1p_; - static const int nC2_ = Geodesic::nC2_; - static const int nC3_ = Geodesic::nC3_; - static const int nC4_ = Geodesic::nC4_; - - real tiny_; - real _lat1, _lon1, _azi1; - real _a, _f, _b, _c2, _f1, _salp0, _calp0, _k2, - _salp1, _calp1, _ssig1, _csig1, _dn1, _stau1, _ctau1, _somg1, _comg1, - _A1m1, _A2m1, _A3c, _B11, _B21, _B31, _A4, _B41; - real _a13, _s13; - // index zero elements of _C1a, _C1pa, _C2a, _C3a are unused - real _C1a[nC1_ + 1], _C1pa[nC1p_ + 1], _C2a[nC2_ + 1], _C3a[nC3_], - _C4a[nC4_]; // all the elements of _C4a are used - unsigned _caps; - - void LineInit(const Geodesic& g, - real lat1, real lon1, - real azi1, real salp1, real calp1, - unsigned caps); - GeodesicLine(const Geodesic& g, - real lat1, real lon1, - real azi1, real salp1, real calp1, - unsigned caps, bool arcmode, real s13_a13); - - enum captype { - CAP_NONE = Geodesic::CAP_NONE, - CAP_C1 = Geodesic::CAP_C1, - CAP_C1p = Geodesic::CAP_C1p, - CAP_C2 = Geodesic::CAP_C2, - CAP_C3 = Geodesic::CAP_C3, - CAP_C4 = Geodesic::CAP_C4, - CAP_ALL = Geodesic::CAP_ALL, - CAP_MASK = Geodesic::CAP_MASK, - OUT_ALL = Geodesic::OUT_ALL, - OUT_MASK = Geodesic::OUT_MASK, - }; - public: - - /** - * Bit masks for what calculations to do. They signify to the - * GeodesicLine::GeodesicLine constructor and to Geodesic::Line what - * capabilities should be included in the GeodesicLine object. This is - * merely a duplication of Geodesic::mask. - **********************************************************************/ - enum mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = Geodesic::NONE, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLine because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = Geodesic::LATITUDE, - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = Geodesic::LONGITUDE, - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLine because this is included - * by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = Geodesic::AZIMUTH, - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = Geodesic::DISTANCE, - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = Geodesic::DISTANCE_IN, - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = Geodesic::REDUCEDLENGTH, - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = Geodesic::GEODESICSCALE, - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = Geodesic::AREA, - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = Geodesic::LONG_UNROLL, - /** - * All capabilities, calculate everything. (LONG_UNROLL is not - * included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = Geodesic::ALL, - }; - - /** \name Constructors - **********************************************************************/ - ///@{ - - /** - * Constructor for a geodesic line staring at latitude \e lat1, longitude - * \e lon1, and azimuth \e azi1 (all in degrees). - * - * @param[in] g A Geodesic object used to compute the necessary information - * about the GeodesicLine. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of GeodesicLine::mask values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * The GeodesicLine::mask values are - * - \e caps |= GeodesicLine::LATITUDE for the latitude \e lat2; this is - * added automatically; - * - \e caps |= GeodesicLine::LONGITUDE for the latitude \e lon2; - * - \e caps |= GeodesicLine::AZIMUTH for the latitude \e azi2; this is - * added automatically; - * - \e caps |= GeodesicLine::DISTANCE for the distance \e s12; - * - \e caps |= GeodesicLine::REDUCEDLENGTH for the reduced length \e m12; - * - \e caps |= GeodesicLine::GEODESICSCALE for the geodesic scales \e M12 - * and \e M21; - * - \e caps |= GeodesicLine::AREA for the area \e S12; - * - \e caps |= GeodesicLine::DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length; - * - \e caps |= GeodesicLine::ALL for all of the above. - * . - * The default value of \e caps is GeodesicLine::ALL. - * - * If the point is at a pole, the azimuth is defined by keeping \e lon1 - * fixed, writing \e lat1 = ±(90° − ε), and taking - * the limit ε → 0+. - **********************************************************************/ - GeodesicLine(const Geodesic& g, real lat1, real lon1, real azi1, - unsigned caps = ALL); - - /** - * A default constructor. If GeodesicLine::Position is called on the - * resulting object, it returns immediately (without doing any - * calculations). The object can be set with a call to Geodesic::Line. - * Use Init() to test whether object is still in this uninitialized state. - **********************************************************************/ - GeodesicLine() : _caps(0U) {} - ///@} - - /** \name Position in terms of distance - **********************************************************************/ - ///@{ - - /** - * Compute the position of point 2 which is a distance \e s12 (meters) from - * point 1. - * - * @param[in] s12 distance from point 1 to point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLine object was constructed with \e caps |= - * GeodesicLine::AREA. - * @return \e a12 arc length from point 1 to point 2 (degrees). - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°]. - * - * The GeodesicLine object \e must have been constructed with \e caps |= - * GeodesicLine::DISTANCE_IN; otherwise Math::NaN() is returned and no - * parameters are set. Requesting a value which the GeodesicLine object is - * not capable of computing is not an error; the corresponding argument - * will not be altered. - * - * The following functions are overloaded versions of - * GeodesicLine::Position which omit some of the output parameters. Note, - * however, that the arc length is always computed and returned as the - * function value. - **********************************************************************/ - Math::real Position(real s12, - real& lat2, real& lon2, real& azi2, - real& m12, real& M12, real& M21, - real& S12) const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE | AREA, - lat2, lon2, azi2, t, m12, M12, M21, S12); - } - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - Math::real Position(real s12, real& lat2, real& lon2) const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE, - lat2, lon2, t, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - Math::real Position(real s12, real& lat2, real& lon2, - real& azi2) const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | AZIMUTH, - lat2, lon2, azi2, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - Math::real Position(real s12, real& lat2, real& lon2, - real& azi2, real& m12) const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | - AZIMUTH | REDUCEDLENGTH, - lat2, lon2, azi2, t, m12, t, t, t); - } - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - Math::real Position(real s12, real& lat2, real& lon2, - real& azi2, real& M12, real& M21) - const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | - AZIMUTH | GEODESICSCALE, - lat2, lon2, azi2, t, t, M12, M21, t); - } - - /** - * See the documentation for GeodesicLine::Position. - **********************************************************************/ - Math::real Position(real s12, - real& lat2, real& lon2, real& azi2, - real& m12, real& M12, real& M21) - const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE, - lat2, lon2, azi2, t, m12, M12, M21, t); - } - ///@} - - /** \name Position in terms of arc length - **********************************************************************/ - ///@{ - - /** - * Compute the position of point 2 which is an arc length \e a12 (degrees) - * from point 1. - * - * @param[in] a12 arc length from point 1 to point 2 (degrees); it can - * be negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance from point 1 to point 2 (meters); requires - * that the GeodesicLine object was constructed with \e caps |= - * GeodesicLine::DISTANCE. - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLine object was constructed with \e caps |= - * GeodesicLine::AREA. - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°]. - * - * Requesting a value which the GeodesicLine object is not capable of - * computing is not an error; the corresponding argument will not be - * altered. - * - * The following functions are overloaded versions of - * GeodesicLine::ArcPosition which omit some of the output parameters. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12, real& m12, real& M12, real& M21, - real& S12) const { - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - REDUCEDLENGTH | GEODESICSCALE | AREA, - lat2, lon2, azi2, s12, m12, M12, M21, S12); - } - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2) - const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE, - lat2, lon2, t, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, - real& lat2, real& lon2, real& azi2) - const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH, - lat2, lon2, azi2, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12) const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE, - lat2, lon2, azi2, s12, t, t, t, t); - } - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12, real& m12) const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | - DISTANCE | REDUCEDLENGTH, - lat2, lon2, azi2, s12, m12, t, t, t); - } - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12, real& M12, real& M21) - const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | - DISTANCE | GEODESICSCALE, - lat2, lon2, azi2, s12, t, M12, M21, t); - } - - /** - * See the documentation for GeodesicLine::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12, real& m12, real& M12, real& M21) - const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | - DISTANCE | REDUCEDLENGTH | GEODESICSCALE, - lat2, lon2, azi2, s12, m12, M12, M21, t); - } - ///@} - - /** \name The general position function. - **********************************************************************/ - ///@{ - - /** - * The general position function. GeodesicLine::Position and - * GeodesicLine::ArcPosition are defined in terms of this function. - * - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter; if \e arcmode is false, then the GeodesicLine object must - * have been constructed with \e caps |= GeodesicLine::DISTANCE_IN. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param[in] outmask a bitor'ed combination of GeodesicLine::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance from point 1 to point 2 (meters); requires - * that the GeodesicLine object was constructed with \e caps |= - * GeodesicLine::DISTANCE. - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLine object was constructed with \e caps |= - * GeodesicLine::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLine object was constructed - * with \e caps |= GeodesicLine::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLine object was constructed with \e caps |= - * GeodesicLine::AREA. - * @return \e a12 arc length from point 1 to point 2 (degrees). - * - * The GeodesicLine::mask values possible for \e outmask are - * - \e outmask |= GeodesicLine::LATITUDE for the latitude \e lat2; - * - \e outmask |= GeodesicLine::LONGITUDE for the latitude \e lon2; - * - \e outmask |= GeodesicLine::AZIMUTH for the latitude \e azi2; - * - \e outmask |= GeodesicLine::DISTANCE for the distance \e s12; - * - \e outmask |= GeodesicLine::REDUCEDLENGTH for the reduced length \e - * m12; - * - \e outmask |= GeodesicLine::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e outmask |= GeodesicLine::AREA for the area \e S12; - * - \e outmask |= GeodesicLine::ALL for all of the above; - * - \e outmask |= GeodesicLine::LONG_UNROLL to unroll \e lon2 instead of - * reducing it into the range [−180°, 180°]. - * . - * Requesting a value which the GeodesicLine object is not capable of - * computing is not an error; the corresponding argument will not be - * altered. Note, however, that the arc length is always computed and - * returned as the function value. - * - * With the GeodesicLine::LONG_UNROLL bit set, the quantity \e lon2 − - * \e lon1 indicates how many times and in what sense the geodesic - * encircles the ellipsoid. - **********************************************************************/ - Math::real GenPosition(bool arcmode, real s12_a12, unsigned outmask, - real& lat2, real& lon2, real& azi2, - real& s12, real& m12, real& M12, real& M21, - real& S12) const; - ///@} - - /** \name Setting point 3 - **********************************************************************/ - ///@{ - - /** - * Specify position of point 3 in terms of distance. - * - * @param[in] s13 the distance from point 1 to point 3 (meters); it - * can be negative. - * - * This is only useful if the GeodesicLine object has been constructed - * with \e caps |= GeodesicLine::DISTANCE_IN. - **********************************************************************/ - void SetDistance(real s13); - - /** - * Specify position of point 3 in terms of arc length. - * - * @param[in] a13 the arc length from point 1 to point 3 (degrees); it - * can be negative. - * - * The distance \e s13 is only set if the GeodesicLine object has been - * constructed with \e caps |= GeodesicLine::DISTANCE. - **********************************************************************/ - void SetArc(real a13); - - /** - * Specify position of point 3 in terms of either distance or arc length. - * - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter; if \e arcmode is false, then the GeodesicLine object must - * have been constructed with \e caps |= GeodesicLine::DISTANCE_IN. - * @param[in] s13_a13 if \e arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - **********************************************************************/ - void GenSetDistance(bool arcmode, real s13_a13); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - - /** - * @return true if the object has been initialized. - **********************************************************************/ - bool Init() const { return _caps != 0U; } - - /** - * @return \e lat1 the latitude of point 1 (degrees). - **********************************************************************/ - Math::real Latitude() const - { return Init() ? _lat1 : Math::NaN(); } - - /** - * @return \e lon1 the longitude of point 1 (degrees). - **********************************************************************/ - Math::real Longitude() const - { return Init() ? _lon1 : Math::NaN(); } - - /** - * @return \e azi1 the azimuth (degrees) of the geodesic line at point 1. - **********************************************************************/ - Math::real Azimuth() const - { return Init() ? _azi1 : Math::NaN(); } - - /** - * The sine and cosine of \e azi1. - * - * @param[out] sazi1 the sine of \e azi1. - * @param[out] cazi1 the cosine of \e azi1. - **********************************************************************/ - void Azimuth(real& sazi1, real& cazi1) const - { if (Init()) { sazi1 = _salp1; cazi1 = _calp1; } } - - /** - * @return \e azi0 the azimuth (degrees) of the geodesic line as it crosses - * the equator in a northward direction. - * - * The result lies in [−90°, 90°]. - **********************************************************************/ - Math::real EquatorialAzimuth() const - { return Init() ? Math::atan2d(_salp0, _calp0) : Math::NaN(); } - - /** - * The sine and cosine of \e azi0. - * - * @param[out] sazi0 the sine of \e azi0. - * @param[out] cazi0 the cosine of \e azi0. - **********************************************************************/ - void EquatorialAzimuth(real& sazi0, real& cazi0) const - { if (Init()) { sazi0 = _salp0; cazi0 = _calp0; } } - - /** - * @return \e a1 the arc length (degrees) between the northward equatorial - * crossing and point 1. - * - * The result lies in (−180°, 180°]. - **********************************************************************/ - Math::real EquatorialArc() const { - return Init() ? Math::atan2d(_ssig1, _csig1) : Math::NaN(); - } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const - { return Init() ? _a : Math::NaN(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real Flattening() const - { return Init() ? _f : Math::NaN(); } - - /** - * @return \e caps the computational capabilities that this object was - * constructed with. LATITUDE and AZIMUTH are always included. - **********************************************************************/ - unsigned Capabilities() const { return _caps; } - - /** - * Test what capabilities are available. - * - * @param[in] testcaps a set of bitor'ed GeodesicLine::mask values. - * @return true if the GeodesicLine object has all these capabilities. - **********************************************************************/ - bool Capabilities(unsigned testcaps) const { - testcaps &= OUT_ALL; - return (_caps & testcaps) == testcaps; - } - - /** - * The distance or arc length to point 3. - * - * @param[in] arcmode boolean flag determining the meaning of returned - * value. - * @return \e s13 if \e arcmode is false; \e a13 if \e arcmode is true. - **********************************************************************/ - Math::real GenDistance(bool arcmode) const - { return Init() ? (arcmode ? _a13 : _s13) : Math::NaN(); } - - /** - * @return \e s13, the distance to point 3 (meters). - **********************************************************************/ - Math::real Distance() const { return GenDistance(false); } - - /** - * @return \e a13, the arc length to point 3 (degrees). - **********************************************************************/ - Math::real Arc() const { return GenDistance(true); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_GEODESICLINE_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicLineExact.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicLineExact.hpp deleted file mode 100644 index 8881ab839eba7d124766cda67b45ff3a338473a0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/GeodesicLineExact.hpp +++ /dev/null @@ -1,673 +0,0 @@ -/** - * \file GeodesicLineExact.hpp - * \brief Header for GeographicLib::GeodesicLineExact class - * - * Copyright (c) Charles Karney (2012-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEODESICLINEEXACT_HPP) -#define GEOGRAPHICLIB_GEODESICLINEEXACT_HPP 1 - -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief An exact geodesic line - * - * GeodesicLineExact facilitates the determination of a series of points on a - * single geodesic. This is a companion to the GeodesicExact class. For - * additional information on this class see the documentation on the - * GeodesicLine class. - * - * Example of use: - * \include example-GeodesicLineExact.cpp - * - * GeodSolve is a command-line utility - * providing access to the functionality of GeodesicExact and - * GeodesicLineExact (via the -E option). - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT GeodesicLineExact { - private: - typedef Math::real real; - friend class GeodesicExact; - static const int nC4_ = GeodesicExact::nC4_; - - real tiny_; - real _lat1, _lon1, _azi1; - real _a, _f, _b, _c2, _f1, _e2, _salp0, _calp0, _k2, - _salp1, _calp1, _ssig1, _csig1, _dn1, _stau1, _ctau1, - _somg1, _comg1, _cchi1, - _A4, _B41, _E0, _D0, _H0, _E1, _D1, _H1; - real _a13, _s13; - real _C4a[nC4_]; // all the elements of _C4a are used - EllipticFunction _E; - unsigned _caps; - - void LineInit(const GeodesicExact& g, - real lat1, real lon1, - real azi1, real salp1, real calp1, - unsigned caps); - GeodesicLineExact(const GeodesicExact& g, - real lat1, real lon1, - real azi1, real salp1, real calp1, - unsigned caps, bool arcmode, real s13_a13); - - enum captype { - CAP_NONE = GeodesicExact::CAP_NONE, - CAP_E = GeodesicExact::CAP_E, - CAP_D = GeodesicExact::CAP_D, - CAP_H = GeodesicExact::CAP_H, - CAP_C4 = GeodesicExact::CAP_C4, - CAP_ALL = GeodesicExact::CAP_ALL, - CAP_MASK = GeodesicExact::CAP_MASK, - OUT_ALL = GeodesicExact::OUT_ALL, - OUT_MASK = GeodesicExact::OUT_MASK, - }; - public: - - /** - * Bit masks for what calculations to do. They signify to the - * GeodesicLineExact::GeodesicLineExact constructor and to - * GeodesicExact::Line what capabilities should be included in the - * GeodesicLineExact object. This is merely a duplication of - * GeodesicExact::mask. - **********************************************************************/ - enum mask { - /** - * No capabilities, no output. - * @hideinitializer - **********************************************************************/ - NONE = GeodesicExact::NONE, - /** - * Calculate latitude \e lat2. (It's not necessary to include this as a - * capability to GeodesicLineExact because this is included by default.) - * @hideinitializer - **********************************************************************/ - LATITUDE = GeodesicExact::LATITUDE, - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = GeodesicExact::LONGITUDE, - /** - * Calculate azimuths \e azi1 and \e azi2. (It's not necessary to - * include this as a capability to GeodesicLineExact because this is - * included by default.) - * @hideinitializer - **********************************************************************/ - AZIMUTH = GeodesicExact::AZIMUTH, - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = GeodesicExact::DISTANCE, - /** - * Allow distance \e s12 to be used as input in the direct geodesic - * problem. - * @hideinitializer - **********************************************************************/ - DISTANCE_IN = GeodesicExact::DISTANCE_IN, - /** - * Calculate reduced length \e m12. - * @hideinitializer - **********************************************************************/ - REDUCEDLENGTH = GeodesicExact::REDUCEDLENGTH, - /** - * Calculate geodesic scales \e M12 and \e M21. - * @hideinitializer - **********************************************************************/ - GEODESICSCALE = GeodesicExact::GEODESICSCALE, - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = GeodesicExact::AREA, - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = GeodesicExact::LONG_UNROLL, - /** - * All capabilities, calculate everything. (LONG_UNROLL is not - * included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = GeodesicExact::ALL, - }; - - /** \name Constructors - **********************************************************************/ - ///@{ - - /** - * Constructor for a geodesic line staring at latitude \e lat1, longitude - * \e lon1, and azimuth \e azi1 (all in degrees). - * - * @param[in] g A GeodesicExact object used to compute the necessary - * information about the GeodesicLineExact. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of GeodesicLineExact::mask values - * specifying the capabilities the GeodesicLineExact object should - * possess, i.e., which quantities can be returned in calls to - * GeodesicLine::Position. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * The GeodesicLineExact::mask values are - * - \e caps |= GeodesicLineExact::LATITUDE for the latitude \e lat2; this - * is added automatically; - * - \e caps |= GeodesicLineExact::LONGITUDE for the latitude \e lon2; - * - \e caps |= GeodesicLineExact::AZIMUTH for the latitude \e azi2; this - * is added automatically; - * - \e caps |= GeodesicLineExact::DISTANCE for the distance \e s12; - * - \e caps |= GeodesicLineExact::REDUCEDLENGTH for the reduced length \e - m12; - * - \e caps |= GeodesicLineExact::GEODESICSCALE for the geodesic scales \e - * M12 and \e M21; - * - \e caps |= GeodesicLineExact::AREA for the area \e S12; - * - \e caps |= GeodesicLineExact::DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length; - * - \e caps |= GeodesicLineExact::ALL for all of the above. - * . - * The default value of \e caps is GeodesicLineExact::ALL. - * - * If the point is at a pole, the azimuth is defined by keeping \e lon1 - * fixed, writing \e lat1 = ±(90° − ε), and taking - * the limit ε → 0+. - **********************************************************************/ - GeodesicLineExact(const GeodesicExact& g, real lat1, real lon1, real azi1, - unsigned caps = ALL); - - /** - * A default constructor. If GeodesicLineExact::Position is called on the - * resulting object, it returns immediately (without doing any - * calculations). The object can be set with a call to - * GeodesicExact::Line. Use Init() to test whether object is still in this - * uninitialized state. - **********************************************************************/ - GeodesicLineExact() : _caps(0U) {} - ///@} - - /** \name Position in terms of distance - **********************************************************************/ - ///@{ - - /** - * Compute the position of point 2 which is a distance \e s12 (meters) - * from point 1. - * - * @param[in] s12 distance from point 1 to point 2 (meters); it can be - * signed. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::AREA. - * @return \e a12 arc length from point 1 to point 2 (degrees). - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°]. - * - * The GeodesicLineExact object \e must have been constructed with \e caps - * |= GeodesicLineExact::DISTANCE_IN; otherwise Math::NaN() is returned and - * no parameters are set. Requesting a value which the GeodesicLineExact - * object is not capable of computing is not an error; the corresponding - * argument will not be altered. - * - * The following functions are overloaded versions of - * GeodesicLineExact::Position which omit some of the output parameters. - * Note, however, that the arc length is always computed and returned as - * the function value. - **********************************************************************/ - Math::real Position(real s12, - real& lat2, real& lon2, real& azi2, - real& m12, real& M12, real& M21, - real& S12) const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE | AREA, - lat2, lon2, azi2, t, m12, M12, M21, S12); - } - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - Math::real Position(real s12, real& lat2, real& lon2) const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE, - lat2, lon2, t, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - Math::real Position(real s12, real& lat2, real& lon2, - real& azi2) const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | AZIMUTH, - lat2, lon2, azi2, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - Math::real Position(real s12, real& lat2, real& lon2, - real& azi2, real& m12) const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | - AZIMUTH | REDUCEDLENGTH, - lat2, lon2, azi2, t, m12, t, t, t); - } - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - Math::real Position(real s12, real& lat2, real& lon2, - real& azi2, real& M12, real& M21) - const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | - AZIMUTH | GEODESICSCALE, - lat2, lon2, azi2, t, t, M12, M21, t); - } - - /** - * See the documentation for GeodesicLineExact::Position. - **********************************************************************/ - Math::real Position(real s12, - real& lat2, real& lon2, real& azi2, - real& m12, real& M12, real& M21) - const { - real t; - return GenPosition(false, s12, - LATITUDE | LONGITUDE | AZIMUTH | - REDUCEDLENGTH | GEODESICSCALE, - lat2, lon2, azi2, t, m12, M12, M21, t); - } - ///@} - - /** \name Position in terms of arc length - **********************************************************************/ - ///@{ - - /** - * Compute the position of point 2 which is an arc length \e a12 (degrees) - * from point 1. - * - * @param[in] a12 arc length from point 1 to point 2 (degrees); it can - * be signed. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance from point 1 to point 2 (meters); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::DISTANCE. - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::AREA. - * - * The values of \e lon2 and \e azi2 returned are in the range - * [−180°, 180°]. - * - * Requesting a value which the GeodesicLineExact object is not capable of - * computing is not an error; the corresponding argument will not be - * altered. - * - * The following functions are overloaded versions of - * GeodesicLineExact::ArcPosition which omit some of the output parameters. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12, real& m12, real& M12, real& M21, - real& S12) const { - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE | - REDUCEDLENGTH | GEODESICSCALE | AREA, - lat2, lon2, azi2, s12, m12, M12, M21, S12); - } - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2) - const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE, - lat2, lon2, t, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, - real& lat2, real& lon2, real& azi2) - const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH, - lat2, lon2, azi2, t, t, t, t, t); - } - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12) const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | DISTANCE, - lat2, lon2, azi2, s12, t, t, t, t); - } - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12, real& m12) const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | - DISTANCE | REDUCEDLENGTH, - lat2, lon2, azi2, s12, m12, t, t, t); - } - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12, real& M12, real& M21) - const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | - DISTANCE | GEODESICSCALE, - lat2, lon2, azi2, s12, t, M12, M21, t); - } - - /** - * See the documentation for GeodesicLineExact::ArcPosition. - **********************************************************************/ - void ArcPosition(real a12, real& lat2, real& lon2, real& azi2, - real& s12, real& m12, real& M12, real& M21) - const { - real t; - GenPosition(true, a12, - LATITUDE | LONGITUDE | AZIMUTH | - DISTANCE | REDUCEDLENGTH | GEODESICSCALE, - lat2, lon2, azi2, s12, m12, M12, M21, t); - } - ///@} - - /** \name The general position function. - **********************************************************************/ - ///@{ - - /** - * The general position function. GeodesicLineExact::Position and - * GeodesicLineExact::ArcPosition are defined in terms of this function. - * - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter; if \e arcmode is false, then the GeodesicLineExact object - * must have been constructed with \e caps |= - * GeodesicLineExact::DISTANCE_IN. - * @param[in] s12_a12 if \e arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be signed. - * @param[in] outmask a bitor'ed combination of GeodesicLineExact::mask - * values specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::LONGITUDE. - * @param[out] azi2 (forward) azimuth at point 2 (degrees). - * @param[out] s12 distance from point 1 to point 2 (meters); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::DISTANCE. - * @param[out] m12 reduced length of geodesic (meters); requires that the - * GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::REDUCEDLENGTH. - * @param[out] M12 geodesic scale of point 2 relative to point 1 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] M21 geodesic scale of point 1 relative to point 2 - * (dimensionless); requires that the GeodesicLineExact object was - * constructed with \e caps |= GeodesicLineExact::GEODESICSCALE. - * @param[out] S12 area under the geodesic (meters2); requires - * that the GeodesicLineExact object was constructed with \e caps |= - * GeodesicLineExact::AREA. - * @return \e a12 arc length from point 1 to point 2 (degrees). - * - * The GeodesicLineExact::mask values possible for \e outmask are - * - \e outmask |= GeodesicLineExact::LATITUDE for the latitude \e lat2; - * - \e outmask |= GeodesicLineExact::LONGITUDE for the latitude \e lon2; - * - \e outmask |= GeodesicLineExact::AZIMUTH for the latitude \e azi2; - * - \e outmask |= GeodesicLineExact::DISTANCE for the distance \e s12; - * - \e outmask |= GeodesicLineExact::REDUCEDLENGTH for the reduced length - * \e m12; - * - \e outmask |= GeodesicLineExact::GEODESICSCALE for the geodesic scales - * \e M12 and \e M21; - * - \e outmask |= GeodesicLineExact::AREA for the area \e S12; - * - \e outmask |= GeodesicLineExact::ALL for all of the above; - * - \e outmask |= GeodesicLineExact::LONG_UNROLL to unroll \e lon2 instead - * of wrapping it into the range [−180°, 180°]. - * . - * Requesting a value which the GeodesicLineExact object is not capable of - * computing is not an error; the corresponding argument will not be - * altered. Note, however, that the arc length is always computed and - * returned as the function value. - * - * With the GeodesicLineExact::LONG_UNROLL bit set, the quantity \e lon2 - * − \e lon1 indicates how many times and in what sense the geodesic - * encircles the ellipsoid. - **********************************************************************/ - Math::real GenPosition(bool arcmode, real s12_a12, unsigned outmask, - real& lat2, real& lon2, real& azi2, - real& s12, real& m12, real& M12, real& M21, - real& S12) const; - ///@} - - /** \name Setting point 3 - **********************************************************************/ - ///@{ - - /** - * Specify position of point 3 in terms of distance. - * - * @param[in] s13 the distance from point 1 to point 3 (meters); it - * can be negative. - * - * This is only useful if the GeodesicLineExact object has been constructed - * with \e caps |= GeodesicLineExact::DISTANCE_IN. - **********************************************************************/ - void SetDistance(real s13); - - /** - * Specify position of point 3 in terms of arc length. - * - * @param[in] a13 the arc length from point 1 to point 3 (degrees); it - * can be negative. - * - * The distance \e s13 is only set if the GeodesicLineExact object has been - * constructed with \e caps |= GeodesicLineExact::DISTANCE. - **********************************************************************/ - void SetArc(real a13); - - /** - * Specify position of point 3 in terms of either distance or arc length. - * - * @param[in] arcmode boolean flag determining the meaning of the second - * parameter; if \e arcmode is false, then the GeodesicLineExact object - * must have been constructed with \e caps |= - * GeodesicLineExact::DISTANCE_IN. - * @param[in] s13_a13 if \e arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - **********************************************************************/ - void GenSetDistance(bool arcmode, real s13_a13); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - - /** - * @return true if the object has been initialized. - **********************************************************************/ - bool Init() const { return _caps != 0U; } - - /** - * @return \e lat1 the latitude of point 1 (degrees). - **********************************************************************/ - Math::real Latitude() const - { return Init() ? _lat1 : Math::NaN(); } - - /** - * @return \e lon1 the longitude of point 1 (degrees). - **********************************************************************/ - Math::real Longitude() const - { return Init() ? _lon1 : Math::NaN(); } - - /** - * @return \e azi1 the azimuth (degrees) of the geodesic line at point 1. - **********************************************************************/ - Math::real Azimuth() const - { return Init() ? _azi1 : Math::NaN(); } - - /** - * The sine and cosine of \e azi1. - * - * @param[out] sazi1 the sine of \e azi1. - * @param[out] cazi1 the cosine of \e azi1. - **********************************************************************/ - void Azimuth(real& sazi1, real& cazi1) const - { if (Init()) { sazi1 = _salp1; cazi1 = _calp1; } } - - /** - * @return \e azi0 the azimuth (degrees) of the geodesic line as it crosses - * the equator in a northward direction. - * - * The result lies in [−90°, 90°]. - **********************************************************************/ - Math::real EquatorialAzimuth() const - { return Init() ? Math::atan2d(_salp0, _calp0) : Math::NaN(); } - - /** - * The sine and cosine of \e azi0. - * - * @param[out] sazi0 the sine of \e azi0. - * @param[out] cazi0 the cosine of \e azi0. - **********************************************************************/ - void EquatorialAzimuth(real& sazi0, real& cazi0) const - { if (Init()) { sazi0 = _salp0; cazi0 = _calp0; } } - - /** - * @return \e a1 the arc length (degrees) between the northward equatorial - * crossing and point 1. - * - * The result lies in (−180°, 180°]. - **********************************************************************/ - Math::real EquatorialArc() const { - using std::atan2; - return Init() ? atan2(_ssig1, _csig1) / Math::degree() : Math::NaN(); - } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the GeodesicExact object used in the - * constructor. - **********************************************************************/ - Math::real EquatorialRadius() const - { return Init() ? _a : Math::NaN(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the GeodesicExact object used in the constructor. - **********************************************************************/ - Math::real Flattening() const - { return Init() ? _f : Math::NaN(); } - - /** - * @return \e caps the computational capabilities that this object was - * constructed with. LATITUDE and AZIMUTH are always included. - **********************************************************************/ - unsigned Capabilities() const { return _caps; } - - /** - * Test what capabilities are available. - * - * @param[in] testcaps a set of bitor'ed GeodesicLineExact::mask values. - * @return true if the GeodesicLineExact object has all these capabilities. - **********************************************************************/ - bool Capabilities(unsigned testcaps) const { - testcaps &= OUT_ALL; - return (_caps & testcaps) == testcaps; - } - - /** - * The distance or arc length to point 3. - * - * @param[in] arcmode boolean flag determining the meaning of returned - * value. - * @return \e s13 if \e arcmode is false; \e a13 if \e arcmode is true. - **********************************************************************/ - Math::real GenDistance(bool arcmode) const - { return Init() ? (arcmode ? _a13 : _s13) : Math::NaN(); } - - /** - * @return \e s13, the distance to point 3 (meters). - **********************************************************************/ - Math::real Distance() const { return GenDistance(false); } - - /** - * @return \e a13, the arc length to point 3 (degrees). - **********************************************************************/ - Math::real Arc() const { return GenDistance(true); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_GEODESICLINEEXACT_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Geohash.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Geohash.hpp deleted file mode 100644 index 129c4f0983794ce17ce7ba084a9f2d0358180dea..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Geohash.hpp +++ /dev/null @@ -1,180 +0,0 @@ -/** - * \file Geohash.hpp - * \brief Header for GeographicLib::Geohash class - * - * Copyright (c) Charles Karney (2012-2017) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEOHASH_HPP) -#define GEOGRAPHICLIB_GEOHASH_HPP 1 - -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs string -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - /** - * \brief Conversions for geohashes - * - * Geohashes are described in - * - https://en.wikipedia.org/wiki/Geohash - * - http://geohash.org/ - * . - * They provide a compact string representation of a particular geographic - * location (expressed as latitude and longitude), with the property that if - * trailing characters are dropped from the string the geographic location - * remains nearby. The classes Georef and GARS implement similar compact - * representations. - * - * Example of use: - * \include example-Geohash.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT Geohash { - private: - typedef Math::real real; - static const int maxlen_ = 18; - static const unsigned long long mask_ = 1ULL << 45; - static const char* const lcdigits_; - static const char* const ucdigits_; - Geohash(); // Disable constructor - - public: - - /** - * Convert from geographic coordinates to a geohash. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] len the length of the resulting geohash. - * @param[out] geohash the geohash. - * @exception GeographicErr if \e lat is not in [−90°, - * 90°]. - * @exception std::bad_alloc if memory for \e geohash can't be allocated. - * - * Internally, \e len is first put in the range [0, 18]. (\e len = 18 - * provides approximately 1μm precision.) - * - * If \e lat or \e lon is NaN, the returned geohash is "invalid". - **********************************************************************/ - static void Forward(real lat, real lon, int len, std::string& geohash); - - /** - * Convert from a geohash to geographic coordinates. - * - * @param[in] geohash the geohash. - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] len the length of the geohash. - * @param[in] centerp if true (the default) return the center of the - * geohash location, otherwise return the south-west corner. - * @exception GeographicErr if \e geohash contains illegal characters. - * - * Only the first 18 characters for \e geohash are considered. (18 - * characters provides approximately 1μm precision.) The case of the - * letters in \e geohash is ignored. - * - * If the first 3 characters of \e geohash are "inv", then \e lat and \e - * lon are set to NaN and \e len is unchanged. ("nan" is treated - * similarly.) - **********************************************************************/ - static void Reverse(const std::string& geohash, real& lat, real& lon, - int& len, bool centerp = true); - - /** - * The latitude resolution of a geohash. - * - * @param[in] len the length of the geohash. - * @return the latitude resolution (degrees). - * - * Internally, \e len is first put in the range [0, 18]. - **********************************************************************/ - static Math::real LatitudeResolution(int len) { - using std::ldexp; - len = (std::max)(0, (std::min)(int(maxlen_), len)); - return ldexp(real(180), -(5 * len / 2)); - } - - /** - * The longitude resolution of a geohash. - * - * @param[in] len the length of the geohash. - * @return the longitude resolution (degrees). - * - * Internally, \e len is first put in the range [0, 18]. - **********************************************************************/ - static Math::real LongitudeResolution(int len) { - using std::ldexp; - len = (std::max)(0, (std::min)(int(maxlen_), len)); - return ldexp(real(360), -(5 * len - 5 * len / 2)); - } - - /** - * The geohash length required to meet a given geographic resolution. - * - * @param[in] res the minimum of resolution in latitude and longitude - * (degrees). - * @return geohash length. - * - * The returned length is in the range [0, 18]. - **********************************************************************/ - static int GeohashLength(real res) { - using std::abs; res = abs(res); - for (int len = 0; len < maxlen_; ++len) - if (LongitudeResolution(len) <= res) - return len; - return maxlen_; - } - - /** - * The geohash length required to meet a given geographic resolution. - * - * @param[in] latres the resolution in latitude (degrees). - * @param[in] lonres the resolution in longitude (degrees). - * @return geohash length. - * - * The returned length is in the range [0, 18]. - **********************************************************************/ - static int GeohashLength(real latres, real lonres) { - using std::abs; - latres = abs(latres); - lonres = abs(lonres); - for (int len = 0; len < maxlen_; ++len) - if (LatitudeResolution(len) <= latres && - LongitudeResolution(len) <= lonres) - return len; - return maxlen_; - } - - /** - * The decimal geographic precision required to match a given geohash - * length. This is the number of digits needed after decimal point in a - * decimal degrees representation. - * - * @param[in] len the length of the geohash. - * @return the decimal precision (may be negative). - * - * Internally, \e len is first put in the range [0, 18]. The returned - * decimal precision is in the range [−2, 12]. - **********************************************************************/ - static int DecimalPrecision(int len) { - using std::floor; using std::log; - return -int(floor(log(LatitudeResolution(len))/log(Math::real(10)))); - } - - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_GEOHASH_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Geoid.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Geoid.hpp deleted file mode 100644 index 4fc7b3828efd8252381e97c9a80f25ed102473b3..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Geoid.hpp +++ /dev/null @@ -1,478 +0,0 @@ -/** - * \file Geoid.hpp - * \brief Header for GeographicLib::Geoid class - * - * Copyright (c) Charles Karney (2009-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEOID_HPP) -#define GEOGRAPHICLIB_GEOID_HPP 1 - -#include -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs vector and constant conditional expressions -# pragma warning (push) -# pragma warning (disable: 4251 4127) -#endif - -#if !defined(GEOGRAPHICLIB_GEOID_PGM_PIXEL_WIDTH) -/** - * The size of the pixel data in the pgm data files for the geoids. 2 is the - * standard size corresponding to a maxval 216−1. Setting it - * to 4 uses a maxval of 232−1 and changes the extension for - * the data files from .pgm to .pgm4. Note that the format of these pgm4 files - * is a non-standard extension of the pgm format. - **********************************************************************/ -# define GEOGRAPHICLIB_GEOID_PGM_PIXEL_WIDTH 2 -#endif - -namespace GeographicLib { - - /** - * \brief Looking up the height of the geoid above the ellipsoid - * - * This class evaluates the height of one of the standard geoids, EGM84, - * EGM96, or EGM2008 by bilinear or cubic interpolation into a rectangular - * grid of data. These geoid models are documented in - * - EGM84: - * http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html - * - EGM96: - * http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html - * - EGM2008: - * http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008 - * - * The geoids are defined in terms of spherical harmonics. However in order - * to provide a quick and flexible method of evaluating the geoid heights, - * this class evaluates the height by interpolation into a grid of - * precomputed values. - * - * The height of the geoid above the ellipsoid, \e N, is sometimes called the - * geoid undulation. It can be used to convert a height above the ellipsoid, - * \e h, to the corresponding height above the geoid (the orthometric height, - * roughly the height above mean sea level), \e H, using the relations - * - *    \e h = \e N + \e H; - *   \e H = −\e N + \e h. - * - * See \ref geoid for details of how to install the data sets, the data - * format, estimates of the interpolation errors, and how to use caching. - * - * This class is typically \e not thread safe in that a single instantiation - * cannot be safely used by multiple threads because of the way the object - * reads the data set and because it maintains a single-cell cache. If - * multiple threads need to calculate geoid heights they should all construct - * thread-local instantiations. Alternatively, set the optional \e - * threadsafe parameter to true in the constructor. This causes the - * constructor to read all the data into memory and to turn off the - * single-cell caching which results in a Geoid object which \e is thread - * safe. - * - * Example of use: - * \include example-Geoid.cpp - * - * GeoidEval is a command-line utility - * providing access to the functionality of Geoid. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT Geoid { - private: - typedef Math::real real; -#if GEOGRAPHICLIB_GEOID_PGM_PIXEL_WIDTH != 4 - typedef unsigned short pixel_t; - static const unsigned pixel_size_ = 2; - static const unsigned pixel_max_ = 0xffffu; -#else - typedef unsigned pixel_t; - static const unsigned pixel_size_ = 4; - static const unsigned pixel_max_ = 0xffffffffu; -#endif - static const unsigned stencilsize_ = 12; - static const unsigned nterms_ = ((3 + 1) * (3 + 2))/2; // for a cubic fit - static const int c0_; - static const int c0n_; - static const int c0s_; - static const int c3_[stencilsize_ * nterms_]; - static const int c3n_[stencilsize_ * nterms_]; - static const int c3s_[stencilsize_ * nterms_]; - - std::string _name, _dir, _filename; - const bool _cubic; - const real _a, _e2, _degree, _eps; - mutable std::ifstream _file; - real _rlonres, _rlatres; - std::string _description, _datetime; - real _offset, _scale, _maxerror, _rmserror; - int _width, _height; - unsigned long long _datastart, _swidth; - bool _threadsafe; - // Area cache - mutable std::vector< std::vector > _data; - mutable bool _cache; - // NE corner and extent of cache - mutable int _xoffset, _yoffset, _xsize, _ysize; - // Cell cache - mutable int _ix, _iy; - mutable real _v00, _v01, _v10, _v11; - mutable real _t[nterms_]; - void filepos(int ix, int iy) const { - _file.seekg(std::streamoff - (_datastart + - pixel_size_ * (unsigned(iy)*_swidth + unsigned(ix)))); - } - real rawval(int ix, int iy) const { - if (ix < 0) - ix += _width; - else if (ix >= _width) - ix -= _width; - if (_cache && iy >= _yoffset && iy < _yoffset + _ysize && - ((ix >= _xoffset && ix < _xoffset + _xsize) || - (ix + _width >= _xoffset && ix + _width < _xoffset + _xsize))) { - return real(_data[iy - _yoffset] - [ix >= _xoffset ? ix - _xoffset : ix + _width - _xoffset]); - } else { - if (iy < 0 || iy >= _height) { - iy = iy < 0 ? -iy : 2 * (_height - 1) - iy; - ix += (ix < _width/2 ? 1 : -1) * _width/2; - } - try { - filepos(ix, iy); - // initial values to suppress warnings in case get fails - char a = 0, b = 0; - _file.get(a); - _file.get(b); - unsigned r = ((unsigned char)(a) << 8) | (unsigned char)(b); - if (pixel_size_ == 4) { - _file.get(a); - _file.get(b); - r = (r << 16) | ((unsigned char)(a) << 8) | (unsigned char)(b); - } - return real(r); - } - catch (const std::exception& e) { - // throw GeographicErr("Error reading " + _filename + ": " - // + e.what()); - // triggers complaints about the "binary '+'" under Visual Studio. - // So use '+=' instead. - std::string err("Error reading "); - err += _filename; - err += ": "; - err += e.what(); - throw GeographicErr(err); - } - } - } - real height(real lat, real lon) const; - Geoid(const Geoid&); // copy constructor not allowed - Geoid& operator=(const Geoid&); // copy assignment not allowed - public: - - /** - * Flags indicating conversions between heights above the geoid and heights - * above the ellipsoid. - **********************************************************************/ - enum convertflag { - /** - * The multiplier for converting from heights above the geoid to heights - * above the ellipsoid. - **********************************************************************/ - ELLIPSOIDTOGEOID = -1, - /** - * No conversion. - **********************************************************************/ - NONE = 0, - /** - * The multiplier for converting from heights above the ellipsoid to - * heights above the geoid. - **********************************************************************/ - GEOIDTOELLIPSOID = 1, - }; - - /** \name Setting up the geoid - **********************************************************************/ - ///@{ - /** - * Construct a geoid. - * - * @param[in] name the name of the geoid. - * @param[in] path (optional) directory for data file. - * @param[in] cubic (optional) interpolation method; false means bilinear, - * true (the default) means cubic. - * @param[in] threadsafe (optional), if true, construct a thread safe - * object. The default is false - * @exception GeographicErr if the data file cannot be found, is - * unreadable, or is corrupt. - * @exception GeographicErr if \e threadsafe is true but the memory - * necessary for caching the data can't be allocated. - * - * The data file is formed by appending ".pgm" to the name. If \e path is - * specified (and is non-empty), then the file is loaded from directory, \e - * path. Otherwise the path is given by DefaultGeoidPath(). If the \e - * threadsafe parameter is true, the data set is read into memory, the data - * file is closed, and single-cell caching is turned off; this results in a - * Geoid object which \e is thread safe. - **********************************************************************/ - explicit Geoid(const std::string& name, const std::string& path = "", - bool cubic = true, bool threadsafe = false); - - /** - * Set up a cache. - * - * @param[in] south latitude (degrees) of the south edge of the cached - * area. - * @param[in] west longitude (degrees) of the west edge of the cached area. - * @param[in] north latitude (degrees) of the north edge of the cached - * area. - * @param[in] east longitude (degrees) of the east edge of the cached area. - * @exception GeographicErr if the memory necessary for caching the data - * can't be allocated (in this case, you will have no cache and can try - * again with a smaller area). - * @exception GeographicErr if there's a problem reading the data. - * @exception GeographicErr if this is called on a threadsafe Geoid. - * - * Cache the data for the specified "rectangular" area bounded by the - * parallels \e south and \e north and the meridians \e west and \e east. - * \e east is always interpreted as being east of \e west, if necessary by - * adding 360° to its value. \e south and \e north should be in - * the range [−90°, 90°]. - **********************************************************************/ - void CacheArea(real south, real west, real north, real east) const; - - /** - * Cache all the data. - * - * @exception GeographicErr if the memory necessary for caching the data - * can't be allocated (in this case, you will have no cache and can try - * again with a smaller area). - * @exception GeographicErr if there's a problem reading the data. - * @exception GeographicErr if this is called on a threadsafe Geoid. - * - * On most computers, this is fast for data sets with grid resolution of 5' - * or coarser. For a 1' grid, the required RAM is 450MB; a 2.5' grid needs - * 72MB; and a 5' grid needs 18MB. - **********************************************************************/ - void CacheAll() const { CacheArea(real(-90), real(0), - real(90), real(360)); } - - /** - * Clear the cache. This never throws an error. (This does nothing with a - * thread safe Geoid.) - **********************************************************************/ - void CacheClear() const; - - ///@} - - /** \name Compute geoid heights - **********************************************************************/ - ///@{ - /** - * Compute the geoid height at a point - * - * @param[in] lat latitude of the point (degrees). - * @param[in] lon longitude of the point (degrees). - * @exception GeographicErr if there's a problem reading the data; this - * never happens if (\e lat, \e lon) is within a successfully cached - * area. - * @return the height of the geoid above the ellipsoid (meters). - * - * The latitude should be in [−90°, 90°]. - **********************************************************************/ - Math::real operator()(real lat, real lon) const { - return height(lat, lon); - } - - /** - * Convert a height above the geoid to a height above the ellipsoid and - * vice versa. - * - * @param[in] lat latitude of the point (degrees). - * @param[in] lon longitude of the point (degrees). - * @param[in] h height of the point (degrees). - * @param[in] d a Geoid::convertflag specifying the direction of the - * conversion; Geoid::GEOIDTOELLIPSOID means convert a height above the - * geoid to a height above the ellipsoid; Geoid::ELLIPSOIDTOGEOID means - * convert a height above the ellipsoid to a height above the geoid. - * @exception GeographicErr if there's a problem reading the data; this - * never happens if (\e lat, \e lon) is within a successfully cached - * area. - * @return converted height (meters). - **********************************************************************/ - Math::real ConvertHeight(real lat, real lon, real h, - convertflag d) const { - return h + real(d) * height(lat, lon); - } - - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return geoid description, if available, in the data file; if - * absent, return "NONE". - **********************************************************************/ - const std::string& Description() const { return _description; } - - /** - * @return date of the data file; if absent, return "UNKNOWN". - **********************************************************************/ - const std::string& DateTime() const { return _datetime; } - - /** - * @return full file name used to load the geoid data. - **********************************************************************/ - const std::string& GeoidFile() const { return _filename; } - - /** - * @return "name" used to load the geoid data (from the first argument of - * the constructor). - **********************************************************************/ - const std::string& GeoidName() const { return _name; } - - /** - * @return directory used to load the geoid data. - **********************************************************************/ - const std::string& GeoidDirectory() const { return _dir; } - - /** - * @return interpolation method ("cubic" or "bilinear"). - **********************************************************************/ - const std::string Interpolation() const - { return std::string(_cubic ? "cubic" : "bilinear"); } - - /** - * @return estimate of the maximum interpolation and quantization error - * (meters). - * - * This relies on the value being stored in the data file. If the value is - * absent, return −1. - **********************************************************************/ - Math::real MaxError() const { return _maxerror; } - - /** - * @return estimate of the RMS interpolation and quantization error - * (meters). - * - * This relies on the value being stored in the data file. If the value is - * absent, return −1. - **********************************************************************/ - Math::real RMSError() const { return _rmserror; } - - /** - * @return offset (meters). - * - * This in used in converting from the pixel values in the data file to - * geoid heights. - **********************************************************************/ - Math::real Offset() const { return _offset; } - - /** - * @return scale (meters). - * - * This in used in converting from the pixel values in the data file to - * geoid heights. - **********************************************************************/ - Math::real Scale() const { return _scale; } - - /** - * @return true if the object is constructed to be thread safe. - **********************************************************************/ - bool ThreadSafe() const { return _threadsafe; } - - /** - * @return true if a data cache is active. - **********************************************************************/ - bool Cache() const { return _cache; } - - /** - * @return west edge of the cached area; the cache includes this edge. - **********************************************************************/ - Math::real CacheWest() const { - return _cache ? ((_xoffset + (_xsize == _width ? 0 : _cubic) - + _width/2) % _width - _width/2) / _rlonres : - 0; - } - - /** - * @return east edge of the cached area; the cache excludes this edge. - **********************************************************************/ - Math::real CacheEast() const { - return _cache ? - CacheWest() + - (_xsize - (_xsize == _width ? 0 : 1 + 2 * _cubic)) / _rlonres : - 0; - } - - /** - * @return north edge of the cached area; the cache includes this edge. - **********************************************************************/ - Math::real CacheNorth() const { - return _cache ? 90 - (_yoffset + _cubic) / _rlatres : 0; - } - - /** - * @return south edge of the cached area; the cache excludes this edge - * unless it's the south pole. - **********************************************************************/ - Math::real CacheSouth() const { - return _cache ? 90 - ( _yoffset + _ysize - 1 - _cubic) / _rlatres : 0; - } - - /** - * @return \e a the equatorial radius of the WGS84 ellipsoid (meters). - * - * (The WGS84 value is returned because the supported geoid models are all - * based on this ellipsoid.) - **********************************************************************/ - Math::real EquatorialRadius() const - { return Constants::WGS84_a(); } - - /** - * @return \e f the flattening of the WGS84 ellipsoid. - * - * (The WGS84 value is returned because the supported geoid models are all - * based on this ellipsoid.) - **********************************************************************/ - Math::real Flattening() const { return Constants::WGS84_f(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * @return the default path for geoid data files. - * - * This is the value of the environment variable GEOGRAPHICLIB_GEOID_PATH, - * if set; otherwise, it is $GEOGRAPHICLIB_DATA/geoids if the environment - * variable GEOGRAPHICLIB_DATA is set; otherwise, it is a compile-time - * default (/usr/local/share/GeographicLib/geoids on non-Windows systems - * and C:/ProgramData/GeographicLib/geoids on Windows systems). - **********************************************************************/ - static std::string DefaultGeoidPath(); - - /** - * @return the default name for the geoid. - * - * This is the value of the environment variable GEOGRAPHICLIB_GEOID_NAME, - * if set; otherwise, it is "egm96-5". The Geoid class does not use this - * function; it is just provided as a convenience for a calling program - * when constructing a Geoid object. - **********************************************************************/ - static std::string DefaultGeoidName(); - - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_GEOID_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Georef.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Georef.hpp deleted file mode 100644 index 706cab6b400fe64dbc639efa63359c45fd171a92..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Georef.hpp +++ /dev/null @@ -1,161 +0,0 @@ -/** - * \file Georef.hpp - * \brief Header for GeographicLib::Georef class - * - * Copyright (c) Charles Karney (2015-2017) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GEOREF_HPP) -#define GEOGRAPHICLIB_GEOREF_HPP 1 - -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs string -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - /** - * \brief Conversions for the World Geographic Reference System (georef) - * - * The World Geographic Reference System is described in - * - https://en.wikipedia.org/wiki/Georef - * - http://earth-info.nga.mil/GandG/coordsys/grids/georef.pdf - * . - * It provides a compact string representation of a geographic area - * (expressed as latitude and longitude). The classes GARS and Geohash - * implement similar compact representations. - * - * Example of use: - * \include example-Georef.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT Georef { - private: - typedef Math::real real; - static const char* const digits_; - static const char* const lontile_; - static const char* const lattile_; - static const char* const degrees_; - enum { - tile_ = 15, // The size of tile in degrees - lonorig_ = -180, // Origin for longitude - latorig_ = -90, // Origin for latitude - base_ = 10, // Base for minutes - baselen_ = 4, - maxprec_ = 11, // approximately equivalent to MGRS class - maxlen_ = baselen_ + 2 * maxprec_, - }; - Georef(); // Disable constructor - - public: - - /** - * Convert from geographic coordinates to georef. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] prec the precision of the resulting georef. - * @param[out] georef the georef string. - * @exception GeographicErr if \e lat is not in [−90°, - * 90°]. - * @exception std::bad_alloc if memory for \e georef can't be allocated. - * - * \e prec specifies the precision of \e georef as follows: - * - \e prec = −1 (min), 15° - * - \e prec = 0, 1° - * - \e prec = 1, converted to \e prec = 2 - * - \e prec = 2, 1' - * - \e prec = 3, 0.1' - * - \e prec = 4, 0.01' - * - \e prec = 5, 0.001' - * - … - * - \e prec = 11 (max), 10−9' - * - * If \e lat or \e lon is NaN, then \e georef is set to "INVALID". - **********************************************************************/ - static void Forward(real lat, real lon, int prec, std::string& georef); - - /** - * Convert from Georef to geographic coordinates. - * - * @param[in] georef the Georef. - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] prec the precision of \e georef. - * @param[in] centerp if true (the default) return the center - * \e georef, otherwise return the south-west corner. - * @exception GeographicErr if \e georef is illegal. - * - * The case of the letters in \e georef is ignored. \e prec is in the - * range [−1, 11] and gives the precision of \e georef as follows: - * - \e prec = −1 (min), 15° - * - \e prec = 0, 1° - * - \e prec = 1, not returned - * - \e prec = 2, 1' - * - \e prec = 3, 0.1' - * - \e prec = 4, 0.01' - * - \e prec = 5, 0.001' - * - … - * - \e prec = 11 (max), 10−9' - * - * If the first 3 characters of \e georef are "INV", then \e lat and \e lon - * are set to NaN and \e prec is unchanged. - **********************************************************************/ - static void Reverse(const std::string& georef, real& lat, real& lon, - int& prec, bool centerp = true); - - /** - * The angular resolution of a Georef. - * - * @param[in] prec the precision of the Georef. - * @return the latitude-longitude resolution (degrees). - * - * Internally, \e prec is first put in the range [−1, 11]. - **********************************************************************/ - static Math::real Resolution(int prec) { - if (prec < 1) - return real(prec < 0 ? 15 : 1); - else { - using std::pow; - // Treat prec = 1 as 2. - prec = (std::max)(2, (std::min)(int(maxprec_), prec)); - // Need extra real because, since C++11, pow(float, int) returns double - return 1/(60 * real(pow(real(base_), prec - 2))); - } - } - - /** - * The Georef precision required to meet a given geographic resolution. - * - * @param[in] res the minimum of resolution in latitude and longitude - * (degrees). - * @return Georef precision. - * - * The returned length is in the range [0, 11]. - **********************************************************************/ - static int Precision(real res) { - using std::abs; res = abs(res); - for (int prec = 0; prec < maxprec_; ++prec) { - if (prec == 1) - continue; - if (Resolution(prec) <= res) - return prec; - } - return maxprec_; - } - - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_GEOREF_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Gnomonic.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Gnomonic.hpp deleted file mode 100644 index 8dfb0e3669054bb684d2f79c4cc5f1501ddd6275..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Gnomonic.hpp +++ /dev/null @@ -1,221 +0,0 @@ -/** - * \file Gnomonic.hpp - * \brief Header for GeographicLib::Gnomonic class - * - * Copyright (c) Charles Karney (2010-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GNOMONIC_HPP) -#define GEOGRAPHICLIB_GNOMONIC_HPP 1 - -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief %Gnomonic projection - * - * %Gnomonic projection centered at an arbitrary position \e C on the - * ellipsoid. This projection is derived in Section 8 of - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * - * geod-addenda.html. - * . - * The projection of \e P is defined as follows: compute the geodesic line - * from \e C to \e P; compute the reduced length \e m12, geodesic scale \e - * M12, and ρ = m12/\e M12; finally \e x = ρ sin \e azi1; \e - * y = ρ cos \e azi1, where \e azi1 is the azimuth of the geodesic at \e - * C. The Gnomonic::Forward and Gnomonic::Reverse methods also return the - * azimuth \e azi of the geodesic at \e P and reciprocal scale \e rk in the - * azimuthal direction. The scale in the radial direction if - * 1/rk2. - * - * For a sphere, ρ is reduces to \e a tan(s12/a), where \e - * s12 is the length of the geodesic from \e C to \e P, and the gnomonic - * projection has the property that all geodesics appear as straight lines. - * For an ellipsoid, this property holds only for geodesics interesting the - * centers. However geodesic segments close to the center are approximately - * straight. - * - * Consider a geodesic segment of length \e l. Let \e T be the point on the - * geodesic (extended if necessary) closest to \e C the center of the - * projection and \e t be the distance \e CT. To lowest order, the maximum - * deviation (as a true distance) of the corresponding gnomonic line segment - * (i.e., with the same end points) from the geodesic is
- *
- * (K(T) - K(C)) - * l2 \e t / 32.
- *
- * where \e K is the Gaussian curvature. - * - * This result applies for any surface. For an ellipsoid of revolution, - * consider all geodesics whose end points are within a distance \e r of \e - * C. For a given \e r, the deviation is maximum when the latitude of \e C - * is 45°, when endpoints are a distance \e r away, and when their - * azimuths from the center are ± 45° or ± 135°. - * To lowest order in \e r and the flattening \e f, the deviation is \e f - * (r/2a)3 \e r. - * - * The conversions all take place using a Geodesic object (by default - * Geodesic::WGS84()). For more information on geodesics see \ref geodesic. - * - * \warning The definition of this projection for a sphere is - * standard. However, there is no standard for how it should be extended to - * an ellipsoid. The choices are: - * - Declare that the projection is undefined for an ellipsoid. - * - Project to a tangent plane from the center of the ellipsoid. This - * causes great ellipses to appear as straight lines in the projection; - * i.e., it generalizes the spherical great circle to a great ellipse. - * This was proposed by independently by Bowring and Williams in 1997. - * - Project to the conformal sphere with the constant of integration chosen - * so that the values of the latitude match for the center point and - * perform a central projection onto the plane tangent to the conformal - * sphere at the center point. This causes normal sections through the - * center point to appear as straight lines in the projection; i.e., it - * generalizes the spherical great circle to a normal section. This was - * proposed by I. G. Letoval'tsev, Generalization of the gnomonic - * projection for a spheroid and the principal geodetic problems involved - * in the alignment of surface routes, Geodesy and Aerophotography (5), - * 271--274 (1963). - * - The projection given here. This causes geodesics close to the center - * point to appear as straight lines in the projection; i.e., it - * generalizes the spherical great circle to a geodesic. - * - * Example of use: - * \include example-Gnomonic.cpp - * - * GeodesicProj is a command-line utility - * providing access to the functionality of AzimuthalEquidistant, Gnomonic, - * and CassiniSoldner. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT Gnomonic { - private: - typedef Math::real real; - real eps0_, eps_; - Geodesic _earth; - real _a, _f; - // numit_ increased from 10 to 20 to fix convergence failure with high - // precision (e.g., GEOGRAPHICLIB_DIGITS=2000) calculations. Reverse uses - // Newton's method which converges quadratically and so numit_ = 10 would - // normally be big enough. However, since the Geodesic class is based on a - // series it is of limited accuracy; in particular, the derivative rules - // used by Reverse only hold approximately. Consequently, after a few - // iterations, the convergence in the Reverse falls back to improvements in - // each step by a constant (albeit small) factor. - static const int numit_ = 20; - public: - - /** - * Constructor for Gnomonic. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - * By default this uses the WGS84 ellipsoid. - **********************************************************************/ - explicit Gnomonic(const Geodesic& earth = Geodesic::WGS84()); - - /** - * Forward projection, from geographic to gnomonic. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] azi azimuth of geodesic at point (degrees). - * @param[out] rk reciprocal of azimuthal scale at point. - * - * \e lat0 and \e lat should be in the range [−90°, 90°]. - * The scale of the projection is 1/rk2 in the "radial" - * direction, \e azi clockwise from true north, and is 1/\e rk in the - * direction perpendicular to this. If the point lies "over the horizon", - * i.e., if \e rk ≤ 0, then NaNs are returned for \e x and \e y (the - * correct values are returned for \e azi and \e rk). A call to Forward - * followed by a call to Reverse will return the original (\e lat, \e lon) - * (to within roundoff) provided the point in not over the horizon. - **********************************************************************/ - void Forward(real lat0, real lon0, real lat, real lon, - real& x, real& y, real& azi, real& rk) const; - - /** - * Reverse projection, from gnomonic to geographic. - * - * @param[in] lat0 latitude of center point of projection (degrees). - * @param[in] lon0 longitude of center point of projection (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] azi azimuth of geodesic at point (degrees). - * @param[out] rk reciprocal of azimuthal scale at point. - * - * \e lat0 should be in the range [−90°, 90°]. \e lat will - * be in the range [−90°, 90°] and \e lon will be in the - * range [−180°, 180°]. The scale of the projection is - * 1/rk2 in the "radial" direction, \e azi clockwise from - * true north, and is 1/\e rk in the direction perpendicular to this. Even - * though all inputs should return a valid \e lat and \e lon, it's possible - * that the procedure fails to converge for very large \e x or \e y; in - * this case NaNs are returned for all the output arguments. A call to - * Reverse followed by a call to Forward will return the original (\e x, \e - * y) (to roundoff). - **********************************************************************/ - void Reverse(real lat0, real lon0, real x, real y, - real& lat, real& lon, real& azi, real& rk) const; - - /** - * Gnomonic::Forward without returning the azimuth and scale. - **********************************************************************/ - void Forward(real lat0, real lon0, real lat, real lon, - real& x, real& y) const { - real azi, rk; - Forward(lat0, lon0, lat, lon, x, y, azi, rk); - } - - /** - * Gnomonic::Reverse without returning the azimuth and scale. - **********************************************************************/ - void Reverse(real lat0, real lon0, real x, real y, - real& lat, real& lon) const { - real azi, rk; - Reverse(lat0, lon0, x, y, lat, lon, azi, rk); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _earth.EquatorialRadius(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _earth.Flattening(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_GNOMONIC_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/GravityCircle.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/GravityCircle.hpp deleted file mode 100644 index d777a96925d1d3a88913adf1c5e748c36d14e10d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/GravityCircle.hpp +++ /dev/null @@ -1,309 +0,0 @@ -/** - * \file GravityCircle.hpp - * \brief Header for GeographicLib::GravityCircle class - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GRAVITYCIRCLE_HPP) -#define GEOGRAPHICLIB_GRAVITYCIRCLE_HPP 1 - -#include -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief Gravity on a circle of latitude - * - * Evaluate the earth's gravity field on a circle of constant height and - * latitude. This uses a CircularEngine to pre-evaluate the inner sum of the - * spherical harmonic sum, allowing the values of the field at several - * different longitudes to be evaluated rapidly. - * - * Use GravityModel::Circle to create a GravityCircle object. (The - * constructor for this class is private.) - * - * See \ref gravityparallel for an example of using GravityCircle (together - * with OpenMP) to speed up the computation of geoid heights. - * - * Example of use: - * \include example-GravityCircle.cpp - * - * Gravity is a command-line utility providing - * access to the functionality of GravityModel and GravityCircle. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT GravityCircle { - private: - typedef Math::real real; - enum mask { - NONE = GravityModel::NONE, - GRAVITY = GravityModel::GRAVITY, - DISTURBANCE = GravityModel::DISTURBANCE, - DISTURBING_POTENTIAL = GravityModel::DISTURBING_POTENTIAL, - GEOID_HEIGHT = GravityModel::GEOID_HEIGHT, - SPHERICAL_ANOMALY = GravityModel::SPHERICAL_ANOMALY, - ALL = GravityModel::ALL, - }; - - unsigned _caps; - real _a, _f, _lat, _h, _Z, _Px, _invR, _cpsi, _spsi, - _cphi, _sphi, _amodel, _GMmodel, _dzonal0, - _corrmult, _gamma0, _gamma, _frot; - CircularEngine _gravitational, _disturbing, _correction; - - GravityCircle(mask caps, real a, real f, real lat, real h, - real Z, real P, real cphi, real sphi, - real amodel, real GMmodel, real dzonal0, real corrmult, - real gamma0, real gamma, real frot, - const CircularEngine& gravitational, - const CircularEngine& disturbing, - const CircularEngine& correction) - : _caps(caps) - , _a(a) - , _f(f) - , _lat(Math::LatFix(lat)) - , _h(h) - , _Z(Z) - , _Px(P) - , _invR(1 / Math::hypot(_Px, _Z)) - , _cpsi(_Px * _invR) - , _spsi(_Z * _invR) - , _cphi(cphi) - , _sphi(sphi) - , _amodel(amodel) - , _GMmodel(GMmodel) - , _dzonal0(dzonal0) - , _corrmult(corrmult) - , _gamma0(gamma0) - , _gamma(gamma) - , _frot(frot) - , _gravitational(gravitational) - , _disturbing(disturbing) - , _correction(correction) - {} - - friend class GravityModel; // GravityModel calls the private constructor - Math::real W(real slam, real clam, - real& gX, real& gY, real& gZ) const; - Math::real V(real slam, real clam, - real& gX, real& gY, real& gZ) const; - Math::real InternalT(real slam, real clam, - real& deltaX, real& deltaY, real& deltaZ, - bool gradp, bool correct) const; - public: - /** - * A default constructor for the normal gravity. This sets up an - * uninitialized object which can be later replaced by the - * GravityModel::Circle. - **********************************************************************/ - GravityCircle() : _a(-1) {} - - /** \name Compute the gravitational field - **********************************************************************/ - ///@{ - /** - * Evaluate the gravity. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] gx the easterly component of the acceleration - * (m s−2). - * @param[out] gy the northerly component of the acceleration - * (m s−2). - * @param[out] gz the upward component of the acceleration - * (m s−2); this is usually negative. - * @return \e W the sum of the gravitational and centrifugal potentials - * (m2 s−2). - * - * The function includes the effects of the earth's rotation. - **********************************************************************/ - Math::real Gravity(real lon, real& gx, real& gy, real& gz) const; - - /** - * Evaluate the gravity disturbance vector. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] deltax the easterly component of the disturbance vector - * (m s−2). - * @param[out] deltay the northerly component of the disturbance vector - * (m s−2). - * @param[out] deltaz the upward component of the disturbance vector - * (m s−2). - * @return \e T the corresponding disturbing potential - * (m2 s−2). - **********************************************************************/ - Math::real Disturbance(real lon, real& deltax, real& deltay, real& deltaz) - const; - - /** - * Evaluate the geoid height. - * - * @param[in] lon the geographic longitude (degrees). - * @return \e N the height of the geoid above the reference ellipsoid - * (meters). - * - * Some approximations are made in computing the geoid height so that the - * results of the NGA codes are reproduced accurately. Details are given - * in \ref gravitygeoid. - **********************************************************************/ - Math::real GeoidHeight(real lon) const; - - /** - * Evaluate the components of the gravity anomaly vector using the - * spherical approximation. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] Dg01 the gravity anomaly (m s−2). - * @param[out] xi the northerly component of the deflection of the vertical - * (degrees). - * @param[out] eta the easterly component of the deflection of the vertical - * (degrees). - * - * The spherical approximation (see Heiskanen and Moritz, Sec 2-14) is used - * so that the results of the NGA codes are reproduced accurately. - * approximations used here. Details are given in \ref gravitygeoid. - **********************************************************************/ - void SphericalAnomaly(real lon, real& Dg01, real& xi, real& eta) - const; - - /** - * Evaluate the components of the acceleration due to gravity and the - * centrifugal acceleration in geocentric coordinates. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] gX the \e X component of the acceleration - * (m s−2). - * @param[out] gY the \e Y component of the acceleration - * (m s−2). - * @param[out] gZ the \e Z component of the acceleration - * (m s−2). - * @return \e W = \e V + Φ the sum of the gravitational and - * centrifugal potentials (m2 s−2). - **********************************************************************/ - Math::real W(real lon, real& gX, real& gY, real& gZ) const { - real slam, clam; - Math::sincosd(lon, slam, clam); - return W(slam, clam, gX, gY, gZ); - } - - /** - * Evaluate the components of the acceleration due to gravity in geocentric - * coordinates. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] GX the \e X component of the acceleration - * (m s−2). - * @param[out] GY the \e Y component of the acceleration - * (m s−2). - * @param[out] GZ the \e Z component of the acceleration - * (m s−2). - * @return \e V = \e W - Φ the gravitational potential - * (m2 s−2). - **********************************************************************/ - Math::real V(real lon, real& GX, real& GY, real& GZ) const { - real slam, clam; - Math::sincosd(lon, slam, clam); - return V(slam, clam, GX, GY, GZ); - } - - /** - * Evaluate the components of the gravity disturbance in geocentric - * coordinates. - * - * @param[in] lon the geographic longitude (degrees). - * @param[out] deltaX the \e X component of the gravity disturbance - * (m s−2). - * @param[out] deltaY the \e Y component of the gravity disturbance - * (m s−2). - * @param[out] deltaZ the \e Z component of the gravity disturbance - * (m s−2). - * @return \e T = \e W - \e U the disturbing potential (also called the - * anomalous potential) (m2 s−2). - **********************************************************************/ - Math::real T(real lon, real& deltaX, real& deltaY, real& deltaZ) - const { - real slam, clam; - Math::sincosd(lon, slam, clam); - return InternalT(slam, clam, deltaX, deltaY, deltaZ, true, true); - } - - /** - * Evaluate disturbing potential in geocentric coordinates. - * - * @param[in] lon the geographic longitude (degrees). - * @return \e T = \e W - \e U the disturbing potential (also called the - * anomalous potential) (m2 s−2). - **********************************************************************/ - Math::real T(real lon) const { - real slam, clam, dummy; - Math::sincosd(lon, slam, clam); - return InternalT(slam, clam, dummy, dummy, dummy, false, true); - } - - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return true if the object has been initialized. - **********************************************************************/ - bool Init() const { return _a > 0; } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the GravityModel object used in the - * constructor. - **********************************************************************/ - Math::real EquatorialRadius() const - { return Init() ? _a : Math::NaN(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the GravityModel object used in the constructor. - **********************************************************************/ - Math::real Flattening() const - { return Init() ? _f : Math::NaN(); } - - /** - * @return the latitude of the circle (degrees). - **********************************************************************/ - Math::real Latitude() const - { return Init() ? _lat : Math::NaN(); } - - /** - * @return the height of the circle (meters). - **********************************************************************/ - Math::real Height() const - { return Init() ? _h : Math::NaN(); } - - /** - * @return \e caps the computational capabilities that this object was - * constructed with. - **********************************************************************/ - unsigned Capabilities() const { return _caps; } - - /** - * @param[in] testcaps a set of bitor'ed GravityModel::mask values. - * @return true if the GravityCircle object has all these capabilities. - **********************************************************************/ - bool Capabilities(unsigned testcaps) const { - return (_caps & testcaps) == testcaps; - } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_GRAVITYCIRCLE_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/GravityModel.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/GravityModel.hpp deleted file mode 100644 index 76ba12462e257aba8b6e3cb440adf239bc2eea9d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/GravityModel.hpp +++ /dev/null @@ -1,548 +0,0 @@ -/** - * \file GravityModel.hpp - * \brief Header for GeographicLib::GravityModel class - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_GRAVITYMODEL_HPP) -#define GEOGRAPHICLIB_GRAVITYMODEL_HPP 1 - -#include -#include -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs vector -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - class GravityCircle; - - /** - * \brief Model of the earth's gravity field - * - * Evaluate the earth's gravity field according to a model. The supported - * models treat only the gravitational field exterior to the mass of the - * earth. When computing the field at points near (but above) the surface of - * the earth a small correction can be applied to account for the mass of the - * atmosphere above the point in question; see \ref gravityatmos. - * Determining the height of the geoid above the ellipsoid entails correcting - * for the mass of the earth above the geoid. The egm96 and egm2008 include - * separate correction terms to account for this mass. - * - * Definitions and terminology (from Heiskanen and Moritz, Sec 2-13): - * - \e V = gravitational potential; - * - Φ = rotational potential; - * - \e W = \e V + Φ = \e T + \e U = total potential; - * - V0 = normal gravitation potential; - * - \e U = V0 + Φ = total normal potential; - * - \e T = \e W − \e U = \e V − V0 = anomalous - * or disturbing potential; - * - g = ∇\e W = γ + δ; - * - f = ∇Φ; - * - Γ = ∇V0; - * - γ = ∇\e U; - * - δ = ∇\e T = gravity disturbance vector - * = gP − γP; - * - δ\e g = gravity disturbance = gP − - * γP; - * - Δg = gravity anomaly vector = gP - * − γQ; here the line \e PQ is - * perpendicular to ellipsoid and the potential at \e P equals the normal - * potential at \e Q; - * - Δ\e g = gravity anomaly = gP − - * γQ; - * - (ξ, η) deflection of the vertical, the difference in - * directions of gP and - * γQ, ξ = NS, η = EW. - * - \e X, \e Y, \e Z, geocentric coordinates; - * - \e x, \e y, \e z, local cartesian coordinates used to denote the east, - * north and up directions. - * - * See \ref gravity for details of how to install the gravity models and the - * data format. - * - * References: - * - W. A. Heiskanen and H. Moritz, Physical Geodesy (Freeman, San - * Francisco, 1967). - * - * Example of use: - * \include example-GravityModel.cpp - * - * Gravity is a command-line utility providing - * access to the functionality of GravityModel and GravityCircle. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT GravityModel { - private: - typedef Math::real real; - friend class GravityCircle; - static const int idlength_ = 8; - std::string _name, _dir, _description, _date, _filename, _id; - real _amodel, _GMmodel, _zeta0, _corrmult; - int _nmx, _mmx; - SphericalHarmonic::normalization _norm; - NormalGravity _earth; - std::vector _Cx, _Sx, _CC, _CS, _zonal; - real _dzonal0; // A left over contribution to _zonal. - SphericalHarmonic _gravitational; - SphericalHarmonic1 _disturbing; - SphericalHarmonic _correction; - void ReadMetadata(const std::string& name); - Math::real InternalT(real X, real Y, real Z, - real& deltaX, real& deltaY, real& deltaZ, - bool gradp, bool correct) const; - GravityModel(const GravityModel&); // copy constructor not allowed - GravityModel& operator=(const GravityModel&); // nor copy assignment - - enum captype { - CAP_NONE = 0U, - CAP_G = 1U<<0, // implies potentials W and V - CAP_T = 1U<<1, - CAP_DELTA = 1U<<2 | CAP_T, // delta implies T? - CAP_C = 1U<<3, - CAP_GAMMA0 = 1U<<4, - CAP_GAMMA = 1U<<5, - CAP_ALL = 0x3FU, - }; - - public: - - /** - * Bit masks for the capabilities to be given to the GravityCircle object - * produced by Circle. - **********************************************************************/ - enum mask { - /** - * No capabilities. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Allow calls to GravityCircle::Gravity, GravityCircle::W, and - * GravityCircle::V. - * @hideinitializer - **********************************************************************/ - GRAVITY = CAP_G, - /** - * Allow calls to GravityCircle::Disturbance and GravityCircle::T. - * @hideinitializer - **********************************************************************/ - DISTURBANCE = CAP_DELTA, - /** - * Allow calls to GravityCircle::T(real lon) (i.e., computing the - * disturbing potential and not the gravity disturbance vector). - * @hideinitializer - **********************************************************************/ - DISTURBING_POTENTIAL = CAP_T, - /** - * Allow calls to GravityCircle::SphericalAnomaly. - * @hideinitializer - **********************************************************************/ - SPHERICAL_ANOMALY = CAP_DELTA | CAP_GAMMA, - /** - * Allow calls to GravityCircle::GeoidHeight. - * @hideinitializer - **********************************************************************/ - GEOID_HEIGHT = CAP_T | CAP_C | CAP_GAMMA0, - /** - * All capabilities. - * @hideinitializer - **********************************************************************/ - ALL = CAP_ALL, - }; - /** \name Setting up the gravity model - **********************************************************************/ - ///@{ - /** - * Construct a gravity model. - * - * @param[in] name the name of the model. - * @param[in] path (optional) directory for data file. - * @param[in] Nmax (optional) if non-negative, truncate the degree of the - * model this value. - * @param[in] Mmax (optional) if non-negative, truncate the order of the - * model this value. - * @exception GeographicErr if the data file cannot be found, is - * unreadable, or is corrupt, or if \e Mmax > \e Nmax. - * @exception std::bad_alloc if the memory necessary for storing the model - * can't be allocated. - * - * A filename is formed by appending ".egm" (World Gravity Model) to the - * name. If \e path is specified (and is non-empty), then the file is - * loaded from directory, \e path. Otherwise the path is given by - * DefaultGravityPath(). - * - * This file contains the metadata which specifies the properties of the - * model. The coefficients for the spherical harmonic sums are obtained - * from a file obtained by appending ".cof" to metadata file (so the - * filename ends in ".egm.cof"). - * - * If \e Nmax ≥ 0 and \e Mmax < 0, then \e Mmax is set to \e Nmax. - * After the model is loaded, the maximum degree and order of the model can - * be found by the Degree() and Order() methods. - **********************************************************************/ - explicit GravityModel(const std::string& name, - const std::string& path = "", - int Nmax = -1, int Mmax = -1); - ///@} - - /** \name Compute gravity in geodetic coordinates - **********************************************************************/ - ///@{ - /** - * Evaluate the gravity at an arbitrary point above (or below) the - * ellipsoid. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] lon the geographic longitude (degrees). - * @param[in] h the height above the ellipsoid (meters). - * @param[out] gx the easterly component of the acceleration - * (m s−2). - * @param[out] gy the northerly component of the acceleration - * (m s−2). - * @param[out] gz the upward component of the acceleration - * (m s−2); this is usually negative. - * @return \e W the sum of the gravitational and centrifugal potentials - * (m2 s−2). - * - * The function includes the effects of the earth's rotation. - **********************************************************************/ - Math::real Gravity(real lat, real lon, real h, - real& gx, real& gy, real& gz) const; - - /** - * Evaluate the gravity disturbance vector at an arbitrary point above (or - * below) the ellipsoid. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] lon the geographic longitude (degrees). - * @param[in] h the height above the ellipsoid (meters). - * @param[out] deltax the easterly component of the disturbance vector - * (m s−2). - * @param[out] deltay the northerly component of the disturbance vector - * (m s−2). - * @param[out] deltaz the upward component of the disturbance vector - * (m s−2). - * @return \e T the corresponding disturbing potential - * (m2 s−2). - **********************************************************************/ - Math::real Disturbance(real lat, real lon, real h, - real& deltax, real& deltay, real& deltaz) - const; - - /** - * Evaluate the geoid height. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] lon the geographic longitude (degrees). - * @return \e N the height of the geoid above the ReferenceEllipsoid() - * (meters). - * - * This calls NormalGravity::U for ReferenceEllipsoid(). Some - * approximations are made in computing the geoid height so that the - * results of the NGA codes are reproduced accurately. Details are given - * in \ref gravitygeoid. - **********************************************************************/ - Math::real GeoidHeight(real lat, real lon) const; - - /** - * Evaluate the components of the gravity anomaly vector using the - * spherical approximation. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] lon the geographic longitude (degrees). - * @param[in] h the height above the ellipsoid (meters). - * @param[out] Dg01 the gravity anomaly (m s−2). - * @param[out] xi the northerly component of the deflection of the vertical - * (degrees). - * @param[out] eta the easterly component of the deflection of the vertical - * (degrees). - * - * The spherical approximation (see Heiskanen and Moritz, Sec 2-14) is used - * so that the results of the NGA codes are reproduced accurately. - * approximations used here. Details are given in \ref gravitygeoid. - **********************************************************************/ - void SphericalAnomaly(real lat, real lon, real h, - real& Dg01, real& xi, real& eta) const; - ///@} - - /** \name Compute gravity in geocentric coordinates - **********************************************************************/ - ///@{ - /** - * Evaluate the components of the acceleration due to gravity and the - * centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] gX the \e X component of the acceleration - * (m s−2). - * @param[out] gY the \e Y component of the acceleration - * (m s−2). - * @param[out] gZ the \e Z component of the acceleration - * (m s−2). - * @return \e W = \e V + Φ the sum of the gravitational and - * centrifugal potentials (m2 s−2). - * - * This calls NormalGravity::U for ReferenceEllipsoid(). - **********************************************************************/ - Math::real W(real X, real Y, real Z, - real& gX, real& gY, real& gZ) const; - - /** - * Evaluate the components of the acceleration due to gravity in geocentric - * coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] GX the \e X component of the acceleration - * (m s−2). - * @param[out] GY the \e Y component of the acceleration - * (m s−2). - * @param[out] GZ the \e Z component of the acceleration - * (m s−2). - * @return \e V = \e W - Φ the gravitational potential - * (m2 s−2). - **********************************************************************/ - Math::real V(real X, real Y, real Z, - real& GX, real& GY, real& GZ) const; - - /** - * Evaluate the components of the gravity disturbance in geocentric - * coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] deltaX the \e X component of the gravity disturbance - * (m s−2). - * @param[out] deltaY the \e Y component of the gravity disturbance - * (m s−2). - * @param[out] deltaZ the \e Z component of the gravity disturbance - * (m s−2). - * @return \e T = \e W - \e U the disturbing potential (also called the - * anomalous potential) (m2 s−2). - **********************************************************************/ - Math::real T(real X, real Y, real Z, - real& deltaX, real& deltaY, real& deltaZ) const - { return InternalT(X, Y, Z, deltaX, deltaY, deltaZ, true, true); } - - /** - * Evaluate disturbing potential in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @return \e T = \e W - \e U the disturbing potential (also called the - * anomalous potential) (m2 s−2). - **********************************************************************/ - Math::real T(real X, real Y, real Z) const { - real dummy; - return InternalT(X, Y, Z, dummy, dummy, dummy, false, true); - } - - /** - * Evaluate the components of the acceleration due to normal gravity and - * the centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] gammaX the \e X component of the normal acceleration - * (m s−2). - * @param[out] gammaY the \e Y component of the normal acceleration - * (m s−2). - * @param[out] gammaZ the \e Z component of the normal acceleration - * (m s−2). - * @return \e U = V0 + Φ the sum of the - * normal gravitational and centrifugal potentials - * (m2 s−2). - * - * This calls NormalGravity::U for ReferenceEllipsoid(). - **********************************************************************/ - Math::real U(real X, real Y, real Z, - real& gammaX, real& gammaY, real& gammaZ) const - { return _earth.U(X, Y, Z, gammaX, gammaY, gammaZ); } - - /** - * Evaluate the centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[out] fX the \e X component of the centrifugal acceleration - * (m s−2). - * @param[out] fY the \e Y component of the centrifugal acceleration - * (m s−2). - * @return Φ the centrifugal potential (m2 - * s−2). - * - * This calls NormalGravity::Phi for ReferenceEllipsoid(). - **********************************************************************/ - Math::real Phi(real X, real Y, real& fX, real& fY) const - { return _earth.Phi(X, Y, fX, fY); } - ///@} - - /** \name Compute gravity on a circle of constant latitude - **********************************************************************/ - ///@{ - /** - * Create a GravityCircle object to allow the gravity field at many points - * with constant \e lat and \e h and varying \e lon to be computed - * efficiently. - * - * @param[in] lat latitude of the point (degrees). - * @param[in] h the height of the point above the ellipsoid (meters). - * @param[in] caps bitor'ed combination of GravityModel::mask values - * specifying the capabilities of the resulting GravityCircle object. - * @exception std::bad_alloc if the memory necessary for creating a - * GravityCircle can't be allocated. - * @return a GravityCircle object whose member functions computes the - * gravitational field at a particular values of \e lon. - * - * The GravityModel::mask values are - * - \e caps |= GravityModel::GRAVITY - * - \e caps |= GravityModel::DISTURBANCE - * - \e caps |= GravityModel::DISTURBING_POTENTIAL - * - \e caps |= GravityModel::SPHERICAL_ANOMALY - * - \e caps |= GravityModel::GEOID_HEIGHT - * . - * The default value of \e caps is GravityModel::ALL which turns on all the - * capabilities. If an unsupported function is invoked, it will return - * NaNs. Note that GravityModel::GEOID_HEIGHT will only be honored if \e h - * = 0. - * - * If the field at several points on a circle of latitude need to be - * calculated then creating a GravityCircle object and using its member - * functions will be substantially faster, especially for high-degree - * models. See \ref gravityparallel for an example of using GravityCircle - * (together with OpenMP) to speed up the computation of geoid heights. - **********************************************************************/ - GravityCircle Circle(real lat, real h, unsigned caps = ALL) const; - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - - /** - * @return the NormalGravity object for the reference ellipsoid. - **********************************************************************/ - const NormalGravity& ReferenceEllipsoid() const { return _earth; } - - /** - * @return the description of the gravity model, if available, in the data - * file; if absent, return "NONE". - **********************************************************************/ - const std::string& Description() const { return _description; } - - /** - * @return date of the model; if absent, return "UNKNOWN". - **********************************************************************/ - const std::string& DateTime() const { return _date; } - - /** - * @return full file name used to load the gravity model. - **********************************************************************/ - const std::string& GravityFile() const { return _filename; } - - /** - * @return "name" used to load the gravity model (from the first argument - * of the constructor, but this may be overridden by the model file). - **********************************************************************/ - const std::string& GravityModelName() const { return _name; } - - /** - * @return directory used to load the gravity model. - **********************************************************************/ - const std::string& GravityModelDirectory() const { return _dir; } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). - **********************************************************************/ - Math::real EquatorialRadius() const { return _earth.EquatorialRadius(); } - - /** - * @return \e GM the mass constant of the model (m3 - * s−2); this is the product of \e G the gravitational - * constant and \e M the mass of the earth (usually including the mass of - * the earth's atmosphere). - **********************************************************************/ - Math::real MassConstant() const { return _GMmodel; } - - /** - * @return \e GM the mass constant of the ReferenceEllipsoid() - * (m3 s−2). - **********************************************************************/ - Math::real ReferenceMassConstant() const - { return _earth.MassConstant(); } - - /** - * @return ω the angular velocity of the model and the - * ReferenceEllipsoid() (rad s−1). - **********************************************************************/ - Math::real AngularVelocity() const - { return _earth.AngularVelocity(); } - - /** - * @return \e f the flattening of the ellipsoid. - **********************************************************************/ - Math::real Flattening() const { return _earth.Flattening(); } - - /** - * @return \e Nmax the maximum degree of the components of the model. - **********************************************************************/ - int Degree() const { return _nmx; } - - /** - * @return \e Mmax the maximum order of the components of the model. - **********************************************************************/ - int Order() const { return _mmx; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * @return the default path for gravity model data files. - * - * This is the value of the environment variable - * GEOGRAPHICLIB_GRAVITY_PATH, if set; otherwise, it is - * $GEOGRAPHICLIB_DATA/gravity if the environment variable - * GEOGRAPHICLIB_DATA is set; otherwise, it is a compile-time default - * (/usr/local/share/GeographicLib/gravity on non-Windows systems and - * C:/ProgramData/GeographicLib/gravity on Windows systems). - **********************************************************************/ - static std::string DefaultGravityPath(); - - /** - * @return the default name for the gravity model. - * - * This is the value of the environment variable - * GEOGRAPHICLIB_GRAVITY_NAME, if set; otherwise, it is "egm96". The - * GravityModel class does not use this function; it is just provided as a - * convenience for a calling program when constructing a GravityModel - * object. - **********************************************************************/ - static std::string DefaultGravityName(); - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_GRAVITYMODEL_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/LambertConformalConic.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/LambertConformalConic.hpp deleted file mode 100644 index bb91c9053498d179205fdf324b03940dddc15326..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/LambertConformalConic.hpp +++ /dev/null @@ -1,325 +0,0 @@ -/** - * \file LambertConformalConic.hpp - * \brief Header for GeographicLib::LambertConformalConic class - * - * Copyright (c) Charles Karney (2010-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_LAMBERTCONFORMALCONIC_HPP) -#define GEOGRAPHICLIB_LAMBERTCONFORMALCONIC_HPP 1 - -#include - -namespace GeographicLib { - - /** - * \brief Lambert conformal conic projection - * - * Implementation taken from the report, - * - J. P. Snyder, - * Map Projections: A - * Working Manual, USGS Professional Paper 1395 (1987), - * pp. 107--109. - * - * This is a implementation of the equations in Snyder except that divided - * differences have been used to transform the expressions into ones which - * may be evaluated accurately and that Newton's method is used to invert the - * projection. In this implementation, the projection correctly becomes the - * Mercator projection or the polar stereographic projection when the - * standard latitude is the equator or a pole. The accuracy of the - * projections is about 10 nm (10 nanometers). - * - * The ellipsoid parameters, the standard parallels, and the scale on the - * standard parallels are set in the constructor. Internally, the case with - * two standard parallels is converted into a single standard parallel, the - * latitude of tangency (also the latitude of minimum scale), with a scale - * specified on this parallel. This latitude is also used as the latitude of - * origin which is returned by LambertConformalConic::OriginLatitude. The - * scale on the latitude of origin is given by - * LambertConformalConic::CentralScale. The case with two distinct standard - * parallels where one is a pole is singular and is disallowed. The central - * meridian (which is a trivial shift of the longitude) is specified as the - * \e lon0 argument of the LambertConformalConic::Forward and - * LambertConformalConic::Reverse functions. - * - * This class also returns the meridian convergence \e gamma and scale \e k. - * The meridian convergence is the bearing of grid north (the \e y axis) - * measured clockwise from true north. - * - * There is no provision in this - * class for specifying a false easting or false northing or a different - * latitude of origin. However these are can be simply included by the - * calling function. For example the Pennsylvania South state coordinate - * system ( - * EPSG:3364) is obtained by: - * \include example-LambertConformalConic.cpp - * - * ConicProj is a command-line utility - * providing access to the functionality of LambertConformalConic and - * AlbersEqualArea. - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT LambertConformalConic { - private: - typedef Math::real real; - real eps_, epsx_, ahypover_; - real _a, _f, _fm, _e2, _es; - real _sign, _n, _nc, _t0nm1, _scale, _lat0, _k0; - real _scbet0, _tchi0, _scchi0, _psi0, _nrho0, _drhomax; - static const int numit_ = 5; - static real hyp(real x) { return Math::hypot(real(1), x); } - // Divided differences - // Definition: Df(x,y) = (f(x)-f(y))/(x-y) - // See: - // W. M. Kahan and R. J. Fateman, - // Symbolic computation of divided differences, - // SIGSAM Bull. 33(3), 7-28 (1999) - // https://doi.org/10.1145/334714.334716 - // http://www.cs.berkeley.edu/~fateman/papers/divdiff.pdf - // - // General rules - // h(x) = f(g(x)): Dh(x,y) = Df(g(x),g(y))*Dg(x,y) - // h(x) = f(x)*g(x): - // Dh(x,y) = Df(x,y)*g(x) + Dg(x,y)*f(y) - // = Df(x,y)*g(y) + Dg(x,y)*f(x) - // = Df(x,y)*(g(x)+g(y))/2 + Dg(x,y)*(f(x)+f(y))/2 - // - // hyp(x) = sqrt(1+x^2): Dhyp(x,y) = (x+y)/(hyp(x)+hyp(y)) - static real Dhyp(real x, real y, real hx, real hy) - // hx = hyp(x) - { return (x + y) / (hx + hy); } - // sn(x) = x/sqrt(1+x^2): Dsn(x,y) = (x+y)/((sn(x)+sn(y))*(1+x^2)*(1+y^2)) - static real Dsn(real x, real y, real sx, real sy) { - // sx = x/hyp(x) - real t = x * y; - return t > 0 ? (x + y) * Math::sq( (sx * sy)/t ) / (sx + sy) : - (x - y != 0 ? (sx - sy) / (x - y) : 1); - } - // Dlog1p(x,y) = log1p((x-y)/(1+y))/(x-y) - static real Dlog1p(real x, real y) { - real t = x - y; if (t < 0) { t = -t; y = x; } - return t != 0 ? Math::log1p(t / (1 + y)) / t : 1 / (1 + x); - } - // Dexp(x,y) = exp((x+y)/2) * 2*sinh((x-y)/2)/(x-y) - static real Dexp(real x, real y) { - using std::sinh; using std::exp; - real t = (x - y)/2; - return (t != 0 ? sinh(t)/t : 1) * exp((x + y)/2); - } - // Dsinh(x,y) = 2*sinh((x-y)/2)/(x-y) * cosh((x+y)/2) - // cosh((x+y)/2) = (c+sinh(x)*sinh(y)/c)/2 - // c=sqrt((1+cosh(x))*(1+cosh(y))) - // cosh((x+y)/2) = sqrt( (sinh(x)*sinh(y) + cosh(x)*cosh(y) + 1)/2 ) - static real Dsinh(real x, real y, real sx, real sy, real cx, real cy) - // sx = sinh(x), cx = cosh(x) - { - // real t = (x - y)/2, c = sqrt((1 + cx) * (1 + cy)); - // return (t ? sinh(t)/t : real(1)) * (c + sx * sy / c) /2; - using std::sinh; using std::sqrt; - real t = (x - y)/2; - return (t != 0 ? sinh(t)/t : 1) * sqrt((sx * sy + cx * cy + 1) /2); - } - // Dasinh(x,y) = asinh((x-y)*(x+y)/(x*sqrt(1+y^2)+y*sqrt(1+x^2)))/(x-y) - // = asinh((x*sqrt(1+y^2)-y*sqrt(1+x^2)))/(x-y) - static real Dasinh(real x, real y, real hx, real hy) { - // hx = hyp(x) - real t = x - y; - return t != 0 ? - Math::asinh(x*y > 0 ? t * (x + y) / (x*hy + y*hx) : x*hy - y*hx) / t : - 1 / hx; - } - // Deatanhe(x,y) = eatanhe((x-y)/(1-e^2*x*y))/(x-y) - real Deatanhe(real x, real y) const { - real t = x - y, d = 1 - _e2 * x * y; - return t != 0 ? Math::eatanhe(t / d, _es) / t : _e2 / d; - } - void Init(real sphi1, real cphi1, real sphi2, real cphi2, real k1); - public: - - /** - * Constructor with a single standard parallel. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] stdlat standard parallel (degrees), the circle of tangency. - * @param[in] k0 scale on the standard parallel. - * @exception GeographicErr if \e a, (1 − \e f) \e a, or \e k0 is - * not positive. - * @exception GeographicErr if \e stdlat is not in [−90°, - * 90°]. - **********************************************************************/ - LambertConformalConic(real a, real f, real stdlat, real k0); - - /** - * Constructor with two standard parallels. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] stdlat1 first standard parallel (degrees). - * @param[in] stdlat2 second standard parallel (degrees). - * @param[in] k1 scale on the standard parallels. - * @exception GeographicErr if \e a, (1 − \e f) \e a, or \e k1 is - * not positive. - * @exception GeographicErr if \e stdlat1 or \e stdlat2 is not in - * [−90°, 90°], or if either \e stdlat1 or \e - * stdlat2 is a pole and \e stdlat1 is not equal \e stdlat2. - **********************************************************************/ - LambertConformalConic(real a, real f, real stdlat1, real stdlat2, real k1); - - /** - * Constructor with two standard parallels specified by sines and cosines. - * - * @param[in] a equatorial radius of ellipsoid (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] sinlat1 sine of first standard parallel. - * @param[in] coslat1 cosine of first standard parallel. - * @param[in] sinlat2 sine of second standard parallel. - * @param[in] coslat2 cosine of second standard parallel. - * @param[in] k1 scale on the standard parallels. - * @exception GeographicErr if \e a, (1 − \e f) \e a, or \e k1 is - * not positive. - * @exception GeographicErr if \e stdlat1 or \e stdlat2 is not in - * [−90°, 90°], or if either \e stdlat1 or \e - * stdlat2 is a pole and \e stdlat1 is not equal \e stdlat2. - * - * This allows parallels close to the poles to be specified accurately. - * This routine computes the latitude of origin and the scale at this - * latitude. In the case where \e lat1 and \e lat2 are different, the - * errors in this routines are as follows: if \e dlat = abs(\e lat2 − - * \e lat1) ≤ 160° and max(abs(\e lat1), abs(\e lat2)) ≤ 90 - * − min(0.0002, 2.2 × 10−6(180 − \e - * dlat), 6 × 10−8 dlat2) (in - * degrees), then the error in the latitude of origin is less than 4.5 - * × 10−14d and the relative error in the scale is - * less than 7 × 10−15. - **********************************************************************/ - LambertConformalConic(real a, real f, - real sinlat1, real coslat1, - real sinlat2, real coslat2, - real k1); - - /** - * Set the scale for the projection. - * - * @param[in] lat (degrees). - * @param[in] k scale at latitude \e lat (default 1). - * @exception GeographicErr \e k is not positive. - * @exception GeographicErr if \e lat is not in [−90°, - * 90°]. - **********************************************************************/ - void SetScale(real lat, real k = real(1)); - - /** - * Forward projection, from geographic to Lambert conformal conic. - * - * @param[in] lon0 central meridian longitude (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * The latitude origin is given by LambertConformalConic::LatitudeOrigin(). - * No false easting or northing is added and \e lat should be in the range - * [−90°, 90°]. The error in the projection is less than - * about 10 nm (10 nanometers), true distance, and the errors in the - * meridian convergence and scale are consistent with this. The values of - * \e x and \e y returned for points which project to infinity (i.e., one - * or both of the poles) will be large but finite. - **********************************************************************/ - void Forward(real lon0, real lat, real lon, - real& x, real& y, real& gamma, real& k) const; - - /** - * Reverse projection, from Lambert conformal conic to geographic. - * - * @param[in] lon0 central meridian longitude (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * The latitude origin is given by LambertConformalConic::LatitudeOrigin(). - * No false easting or northing is added. The value of \e lon returned is - * in the range [−180°, 180°]. The error in the projection - * is less than about 10 nm (10 nanometers), true distance, and the errors - * in the meridian convergence and scale are consistent with this. - **********************************************************************/ - void Reverse(real lon0, real x, real y, - real& lat, real& lon, real& gamma, real& k) const; - - /** - * LambertConformalConic::Forward without returning the convergence and - * scale. - **********************************************************************/ - void Forward(real lon0, real lat, real lon, - real& x, real& y) const { - real gamma, k; - Forward(lon0, lat, lon, x, y, gamma, k); - } - - /** - * LambertConformalConic::Reverse without returning the convergence and - * scale. - **********************************************************************/ - void Reverse(real lon0, real x, real y, - real& lat, real& lon) const { - real gamma, k; - Reverse(lon0, x, y, lat, lon, gamma, k); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _a; } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _f; } - - /** - * @return latitude of the origin for the projection (degrees). - * - * This is the latitude of minimum scale and equals the \e stdlat in the - * 1-parallel constructor and lies between \e stdlat1 and \e stdlat2 in the - * 2-parallel constructors. - **********************************************************************/ - Math::real OriginLatitude() const { return _lat0; } - - /** - * @return central scale for the projection. This is the scale on the - * latitude of origin. - **********************************************************************/ - Math::real CentralScale() const { return _k0; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of LambertConformalConic with the WGS84 - * ellipsoid, \e stdlat = 0, and \e k0 = 1. This degenerates to the - * Mercator projection. - **********************************************************************/ - static const LambertConformalConic& Mercator(); - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_LAMBERTCONFORMALCONIC_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/LocalCartesian.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/LocalCartesian.hpp deleted file mode 100644 index 3c926de60d486942626eba56ed3abd4b469bdc11..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/LocalCartesian.hpp +++ /dev/null @@ -1,244 +0,0 @@ -/** - * \file LocalCartesian.hpp - * \brief Header for GeographicLib::LocalCartesian class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_LOCALCARTESIAN_HPP) -#define GEOGRAPHICLIB_LOCALCARTESIAN_HPP 1 - -#include -#include - -namespace GeographicLib { - - /** - * \brief Local cartesian coordinates - * - * Convert between geodetic coordinates latitude = \e lat, longitude = \e - * lon, height = \e h (measured vertically from the surface of the ellipsoid) - * to local cartesian coordinates (\e x, \e y, \e z). The origin of local - * cartesian coordinate system is at \e lat = \e lat0, \e lon = \e lon0, \e h - * = \e h0. The \e z axis is normal to the ellipsoid; the \e y axis points - * due north. The plane \e z = - \e h0 is tangent to the ellipsoid. - * - * The conversions all take place via geocentric coordinates using a - * Geocentric object (by default Geocentric::WGS84()). - * - * Example of use: - * \include example-LocalCartesian.cpp - * - * CartConvert is a command-line utility - * providing access to the functionality of Geocentric and LocalCartesian. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT LocalCartesian { - private: - typedef Math::real real; - static const size_t dim_ = 3; - static const size_t dim2_ = dim_ * dim_; - Geocentric _earth; - real _lat0, _lon0, _h0; - real _x0, _y0, _z0, _r[dim2_]; - void IntForward(real lat, real lon, real h, real& x, real& y, real& z, - real M[dim2_]) const; - void IntReverse(real x, real y, real z, real& lat, real& lon, real& h, - real M[dim2_]) const; - void MatrixMultiply(real M[dim2_]) const; - public: - - /** - * Constructor setting the origin. - * - * @param[in] lat0 latitude at origin (degrees). - * @param[in] lon0 longitude at origin (degrees). - * @param[in] h0 height above ellipsoid at origin (meters); default 0. - * @param[in] earth Geocentric object for the transformation; default - * Geocentric::WGS84(). - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - LocalCartesian(real lat0, real lon0, real h0 = 0, - const Geocentric& earth = Geocentric::WGS84()) - : _earth(earth) - { Reset(lat0, lon0, h0); } - - /** - * Default constructor. - * - * @param[in] earth Geocentric object for the transformation; default - * Geocentric::WGS84(). - * - * Sets \e lat0 = 0, \e lon0 = 0, \e h0 = 0. - **********************************************************************/ - explicit LocalCartesian(const Geocentric& earth = Geocentric::WGS84()) - : _earth(earth) - { Reset(real(0), real(0), real(0)); } - - /** - * Reset the origin. - * - * @param[in] lat0 latitude at origin (degrees). - * @param[in] lon0 longitude at origin (degrees). - * @param[in] h0 height above ellipsoid at origin (meters); default 0. - * - * \e lat0 should be in the range [−90°, 90°]. - **********************************************************************/ - void Reset(real lat0, real lon0, real h0 = 0); - - /** - * Convert from geodetic to local cartesian coordinates. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] h height of point above the ellipsoid (meters). - * @param[out] x local cartesian coordinate (meters). - * @param[out] y local cartesian coordinate (meters). - * @param[out] z local cartesian coordinate (meters). - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - void Forward(real lat, real lon, real h, real& x, real& y, real& z) - const { - IntForward(lat, lon, h, x, y, z, NULL); - } - - /** - * Convert from geodetic to local cartesian coordinates and return rotation - * matrix. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[in] h height of point above the ellipsoid (meters). - * @param[out] x local cartesian coordinate (meters). - * @param[out] y local cartesian coordinate (meters). - * @param[out] z local cartesian coordinate (meters). - * @param[out] M if the length of the vector is 9, fill with the rotation - * matrix in row-major order. - * - * \e lat should be in the range [−90°, 90°]. - * - * Let \e v be a unit vector located at (\e lat, \e lon, \e h). We can - * express \e v as \e column vectors in one of two ways - * - in east, north, up coordinates (where the components are relative to a - * local coordinate system at (\e lat, \e lon, \e h)); call this - * representation \e v1. - * - in \e x, \e y, \e z coordinates (where the components are relative to - * the local coordinate system at (\e lat0, \e lon0, \e h0)); call this - * representation \e v0. - * . - * Then we have \e v0 = \e M ⋅ \e v1. - **********************************************************************/ - void Forward(real lat, real lon, real h, real& x, real& y, real& z, - std::vector& M) - const { - if (M.end() == M.begin() + dim2_) { - real t[dim2_]; - IntForward(lat, lon, h, x, y, z, t); - std::copy(t, t + dim2_, M.begin()); - } else - IntForward(lat, lon, h, x, y, z, NULL); - } - - /** - * Convert from local cartesian to geodetic coordinates. - * - * @param[in] x local cartesian coordinate (meters). - * @param[in] y local cartesian coordinate (meters). - * @param[in] z local cartesian coordinate (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] h height of point above the ellipsoid (meters). - * - * In general, there are multiple solutions and the result which minimizes - * |h |is returned, i.e., (lat, lon) corresponds to - * the closest point on the ellipsoid. The value of \e lon returned is in - * the range [−180°, 180°]. - **********************************************************************/ - void Reverse(real x, real y, real z, real& lat, real& lon, real& h) - const { - IntReverse(x, y, z, lat, lon, h, NULL); - } - - /** - * Convert from local cartesian to geodetic coordinates and return rotation - * matrix. - * - * @param[in] x local cartesian coordinate (meters). - * @param[in] y local cartesian coordinate (meters). - * @param[in] z local cartesian coordinate (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] h height of point above the ellipsoid (meters). - * @param[out] M if the length of the vector is 9, fill with the rotation - * matrix in row-major order. - * - * Let \e v be a unit vector located at (\e lat, \e lon, \e h). We can - * express \e v as \e column vectors in one of two ways - * - in east, north, up coordinates (where the components are relative to a - * local coordinate system at (\e lat, \e lon, \e h)); call this - * representation \e v1. - * - in \e x, \e y, \e z coordinates (where the components are relative to - * the local coordinate system at (\e lat0, \e lon0, \e h0)); call this - * representation \e v0. - * . - * Then we have \e v1 = MT ⋅ \e v0, where - * MT is the transpose of \e M. - **********************************************************************/ - void Reverse(real x, real y, real z, real& lat, real& lon, real& h, - std::vector& M) - const { - if (M.end() == M.begin() + dim2_) { - real t[dim2_]; - IntReverse(x, y, z, lat, lon, h, t); - std::copy(t, t + dim2_, M.begin()); - } else - IntReverse(x, y, z, lat, lon, h, NULL); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return latitude of the origin (degrees). - **********************************************************************/ - Math::real LatitudeOrigin() const { return _lat0; } - - /** - * @return longitude of the origin (degrees). - **********************************************************************/ - Math::real LongitudeOrigin() const { return _lon0; } - - /** - * @return height of the origin (meters). - **********************************************************************/ - Math::real HeightOrigin() const { return _h0; } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value of \e a inherited from the Geocentric object used in the - * constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _earth.EquatorialRadius(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geocentric object used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _earth.Flattening(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_LOCALCARTESIAN_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/MGRS.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/MGRS.hpp deleted file mode 100644 index fc254fa315e290d791619c6b027ebb065a445d2e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/MGRS.hpp +++ /dev/null @@ -1,361 +0,0 @@ -/** - * \file MGRS.hpp - * \brief Header for GeographicLib::MGRS class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_MGRS_HPP) -#define GEOGRAPHICLIB_MGRS_HPP 1 - -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs string -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - /** - * \brief Convert between UTM/UPS and %MGRS - * - * MGRS is defined in Chapter 3 of - * - J. W. Hager, L. L. Fry, S. S. Jacks, D. R. Hill, - * - * Datums, Ellipsoids, Grids, and Grid Reference Systems, - * Defense Mapping Agency, Technical Manual TM8358.1 (1990). - * . - * This document has been updated by the two NGA documents - * - - * Universal Grids and Grid Reference Systems, - * NGA.STND.0037_2.0.0_GRIDS (2014). - * - - * The Universal Grids and the Transverse Mercator and Polar Stereographic - * Map Projections, NGA.SIG.0012_2.0.0_UTMUPS (2014). - * - * This implementation has the following properties: - * - The conversions are closed, i.e., output from Forward is legal input for - * Reverse and vice versa. Conversion in both directions preserve the - * UTM/UPS selection and the UTM zone. - * - Forward followed by Reverse and vice versa is approximately the - * identity. (This is affected in predictable ways by errors in - * determining the latitude band and by loss of precision in the MGRS - * coordinates.) - * - The trailing digits produced by Forward are consistent as the precision - * is varied. Specifically, the digits are obtained by operating on the - * easting with ⌊106 x⌋ and extracting the - * required digits from the resulting number (and similarly for the - * northing). - * - All MGRS coordinates truncate to legal 100 km blocks. All MGRS - * coordinates with a legal 100 km block prefix are legal (even though the - * latitude band letter may now belong to a neighboring band). - * - The range of UTM/UPS coordinates allowed for conversion to MGRS - * coordinates is the maximum consistent with staying within the letter - * ranges of the MGRS scheme. - * - All the transformations are implemented as static methods in the MGRS - * class. - * - * The NGA software package - * geotrans - * also provides conversions to and from MGRS. Version 3.0 (and earlier) - * suffers from some drawbacks: - * - Inconsistent rules are used to determine the whether a particular MGRS - * coordinate is legal. A more systematic approach is taken here. - * - The underlying projections are not very accurately implemented. - * - * Example of use: - * \include example-MGRS.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT MGRS { - private: - typedef Math::real real; - static const char* const hemispheres_; - static const char* const utmcols_[3]; - static const char* const utmrow_; - static const char* const upscols_[4]; - static const char* const upsrows_[2]; - static const char* const latband_; - static const char* const upsband_; - static const char* const digits_; - - static const int mineasting_[4]; - static const int maxeasting_[4]; - static const int minnorthing_[4]; - static const int maxnorthing_[4]; - enum { - base_ = 10, - // Top-level tiles are 10^5 m = 100 km on a side - tilelevel_ = 5, - // Period of UTM row letters - utmrowperiod_ = 20, - // Row letters are shifted by 5 for even zones - utmevenrowshift_ = 5, - // Maximum precision is um - maxprec_ = 5 + 6, - // For generating digits at maxprec - mult_ = 1000000, - }; - static void CheckCoords(bool utmp, bool& northp, real& x, real& y); - static int UTMRow(int iband, int icol, int irow); - - friend class UTMUPS; // UTMUPS::StandardZone calls LatitudeBand - // Return latitude band number [-10, 10) for the given latitude (degrees). - // The bands are reckoned in include their southern edges. - static int LatitudeBand(real lat) { - using std::floor; - int ilat = int(floor(lat)); - return (std::max)(-10, (std::min)(9, (ilat + 80)/8 - 10)); - } - // Return approximate latitude band number [-10, 10) for the given northing - // (meters). With this rule, each 100km tile would have a unique band - // letter corresponding to the latitude at the center of the tile. This - // function isn't currently used. - static int ApproxLatitudeBand(real y) { - // northing at tile center in units of tile = 100km - using std::floor; using std::abs; - real ya = floor( (std::min)(real(88), abs(y/tile_)) ) + - real(0.5); - // convert to lat (mult by 90/100) and then to band (divide by 8) - // the +1 fine tunes the boundary between bands 3 and 4 - int b = int(floor( ((ya * 9 + 1) / 10) / 8 )); - // For the northern hemisphere we have - // band rows num - // N 0 0:8 9 - // P 1 9:17 9 - // Q 2 18:26 9 - // R 3 27:34 8 - // S 4 35:43 9 - // T 5 44:52 9 - // U 6 53:61 9 - // V 7 62:70 9 - // W 8 71:79 9 - // X 9 80:94 15 - return y >= 0 ? b : -(b + 1); - } - // UTMUPS access these enums - enum { - tile_ = 100000, // Size MGRS blocks - minutmcol_ = 1, - maxutmcol_ = 9, - minutmSrow_ = 10, - maxutmSrow_ = 100, // Also used for UTM S false northing - minutmNrow_ = 0, // Also used for UTM N false northing - maxutmNrow_ = 95, - minupsSind_ = 8, // These 4 ind's apply to easting and northing - maxupsSind_ = 32, - minupsNind_ = 13, - maxupsNind_ = 27, - upseasting_ = 20, // Also used for UPS false northing - utmeasting_ = 5, // UTM false easting - // Difference between S hemisphere northing and N hemisphere northing - utmNshift_ = (maxutmSrow_ - minutmNrow_) * tile_ - }; - MGRS(); // Disable constructor - - public: - - /** - * Convert UTM or UPS coordinate to an MGRS coordinate. - * - * @param[in] zone UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[in] prec precision relative to 100 km. - * @param[out] mgrs MGRS string. - * @exception GeographicErr if \e zone, \e x, or \e y is outside its - * allowed range. - * @exception GeographicErr if the memory for the MGRS string can't be - * allocated. - * - * \e prec specifies the precision of the MGRS string as follows: - * - \e prec = −1 (min), only the grid zone is returned - * - \e prec = 0, 100 km - * - \e prec = 1, 10 km - * - \e prec = 2, 1 km - * - \e prec = 3, 100 m - * - \e prec = 4, 10 m - * - \e prec = 5, 1 m - * - \e prec = 6, 0.1 m - * - … - * - \e prec = 11 (max), 1 μm - * - * UTM eastings are allowed to be in the range [100 km, 900 km], northings - * are allowed to be in in [0 km, 9500 km] for the northern hemisphere and - * in [1000 km, 10000 km] for the southern hemisphere. (However UTM - * northings can be continued across the equator. So the actual limits on - * the northings are [−9000 km, 9500 km] for the "northern" - * hemisphere and [1000 km, 19500 km] for the "southern" hemisphere.) - * - * UPS eastings/northings are allowed to be in the range [1300 km, 2700 km] - * in the northern hemisphere and in [800 km, 3200 km] in the southern - * hemisphere. - * - * The ranges are 100 km more restrictive than for the conversion between - * geographic coordinates and UTM and UPS given by UTMUPS. These - * restrictions are dictated by the allowed letters in MGRS coordinates. - * The choice of 9500 km for the maximum northing for northern hemisphere - * and of 1000 km as the minimum northing for southern hemisphere provide - * at least 0.5 degree extension into standard UPS zones. The upper ends - * of the ranges for the UPS coordinates is dictated by requiring symmetry - * about the meridians 0E and 90E. - * - * All allowed UTM and UPS coordinates may now be converted to legal MGRS - * coordinates with the proviso that eastings and northings on the upper - * boundaries are silently reduced by about 4 nm (4 nanometers) to place - * them \e within the allowed range. (This includes reducing a southern - * hemisphere northing of 10000 km by 4 nm so that it is placed in latitude - * band M.) The UTM or UPS coordinates are truncated to requested - * precision to determine the MGRS coordinate. Thus in UTM zone 38n, the - * square area with easting in [444 km, 445 km) and northing in [3688 km, - * 3689 km) maps to MGRS coordinate 38SMB4488 (at \e prec = 2, 1 km), - * Khulani Sq., Baghdad. - * - * The UTM/UPS selection and the UTM zone is preserved in the conversion to - * MGRS coordinate. Thus for \e zone > 0, the MGRS coordinate begins with - * the zone number followed by one of [C--M] for the southern - * hemisphere and [N--X] for the northern hemisphere. For \e zone = - * 0, the MGRS coordinates begins with one of [AB] for the southern - * hemisphere and [XY] for the northern hemisphere. - * - * The conversion to the MGRS is exact for prec in [0, 5] except that a - * neighboring latitude band letter may be given if the point is within 5nm - * of a band boundary. For prec in [6, 11], the conversion is accurate to - * roundoff. - * - * If \e prec = −1, then the "grid zone designation", e.g., 18T, is - * returned. This consists of the UTM zone number (absent for UPS) and the - * first letter of the MGRS string which labels the latitude band for UTM - * and the hemisphere for UPS. - * - * If \e x or \e y is NaN or if \e zone is UTMUPS::INVALID, the returned - * MGRS string is "INVALID". - * - * Return the result via a reference argument to avoid the overhead of - * allocating a potentially large number of small strings. If an error is - * thrown, then \e mgrs is unchanged. - **********************************************************************/ - static void Forward(int zone, bool northp, real x, real y, - int prec, std::string& mgrs); - - /** - * Convert UTM or UPS coordinate to an MGRS coordinate when the latitude is - * known. - * - * @param[in] zone UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[in] lat latitude (degrees). - * @param[in] prec precision relative to 100 km. - * @param[out] mgrs MGRS string. - * @exception GeographicErr if \e zone, \e x, or \e y is outside its - * allowed range. - * @exception GeographicErr if \e lat is inconsistent with the given UTM - * coordinates. - * @exception std::bad_alloc if the memory for \e mgrs can't be allocated. - * - * The latitude is ignored for \e zone = 0 (UPS); otherwise the latitude is - * used to determine the latitude band and this is checked for consistency - * using the same tests as Reverse. - **********************************************************************/ - static void Forward(int zone, bool northp, real x, real y, real lat, - int prec, std::string& mgrs); - - /** - * Convert a MGRS coordinate to UTM or UPS coordinates. - * - * @param[in] mgrs MGRS string. - * @param[out] zone UTM zone (zero means UPS). - * @param[out] northp hemisphere (true means north, false means south). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] prec precision relative to 100 km. - * @param[in] centerp if true (default), return center of the MGRS square, - * else return SW (lower left) corner. - * @exception GeographicErr if \e mgrs is illegal. - * - * All conversions from MGRS to UTM/UPS are permitted provided the MGRS - * coordinate is a possible result of a conversion in the other direction. - * (The leading 0 may be dropped from an input MGRS coordinate for UTM - * zones 1--9.) In addition, MGRS coordinates with a neighboring - * latitude band letter are permitted provided that some portion of the - * 100 km block is within the given latitude band. Thus - * - 38VLS and 38WLS are allowed (latitude 64N intersects the square - * 38[VW]LS); but 38VMS is not permitted (all of 38WMS is north of 64N) - * - 38MPE and 38NPF are permitted (they straddle the equator); but 38NPE - * and 38MPF are not permitted (the equator does not intersect either - * block). - * - Similarly ZAB and YZB are permitted (they straddle the prime - * meridian); but YAB and ZZB are not (the prime meridian does not - * intersect either block). - * - * The UTM/UPS selection and the UTM zone is preserved in the conversion - * from MGRS coordinate. The conversion is exact for prec in [0, 5]. With - * \e centerp = true, the conversion from MGRS to geographic and back is - * stable. This is not assured if \e centerp = false. - * - * If a "grid zone designation" (for example, 18T or A) is given, then some - * suitable (but essentially arbitrary) point within that grid zone is - * returned. The main utility of the conversion is to allow \e zone and \e - * northp to be determined. In this case, the \e centerp parameter is - * ignored and \e prec is set to −1. - * - * If the first 3 characters of \e mgrs are "INV", then \e x and \e y are - * set to NaN, \e zone is set to UTMUPS::INVALID, and \e prec is set to - * −2. - * - * If an exception is thrown, then the arguments are unchanged. - **********************************************************************/ - static void Reverse(const std::string& mgrs, - int& zone, bool& northp, real& x, real& y, - int& prec, bool centerp = true); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the WGS84 ellipsoid (meters). - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - static Math::real EquatorialRadius() { return UTMUPS::EquatorialRadius(); } - - /** - * @return \e f the flattening of the WGS84 ellipsoid. - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - static Math::real Flattening() { return UTMUPS::Flattening(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - static Math::real MajorRadius() { return EquatorialRadius(); } - ///@} - - /** - * Perform some checks on the UTMUPS coordinates on this ellipsoid. Throw - * an error if any of the assumptions made in the MGRS class is not true. - * This check needs to be carried out if the ellipsoid parameters (or the - * UTM/UPS scales) are ever changed. - **********************************************************************/ - static void Check(); - - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_MGRS_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/MagneticCircle.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/MagneticCircle.hpp deleted file mode 100644 index ce033575c6f5d1424c3ead7c3393d80a6f4239f8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/MagneticCircle.hpp +++ /dev/null @@ -1,185 +0,0 @@ -/** - * \file MagneticCircle.hpp - * \brief Header for GeographicLib::MagneticCircle class - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_MAGNETICCIRCLE_HPP) -#define GEOGRAPHICLIB_MAGNETICCIRCLE_HPP 1 - -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief Geomagnetic field on a circle of latitude - * - * Evaluate the earth's magnetic field on a circle of constant height and - * latitude. This uses a CircularEngine to pre-evaluate the inner sum of the - * spherical harmonic sum, allowing the values of the field at several - * different longitudes to be evaluated rapidly. - * - * Use MagneticModel::Circle to create a MagneticCircle object. (The - * constructor for this class is private.) - * - * Example of use: - * \include example-MagneticCircle.cpp - * - * MagneticField is a command-line utility - * providing access to the functionality of MagneticModel and MagneticCircle. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT MagneticCircle { - private: - typedef Math::real real; - - real _a, _f, _lat, _h, _t, _cphi, _sphi, _t1, _dt0; - bool _interpolate, _constterm; - CircularEngine _circ0, _circ1, _circ2; - - MagneticCircle(real a, real f, real lat, real h, real t, - real cphi, real sphi, real t1, real dt0, - bool interpolate, - const CircularEngine& circ0, const CircularEngine& circ1) - : _a(a) - , _f(f) - , _lat(Math::LatFix(lat)) - , _h(h) - , _t(t) - , _cphi(cphi) - , _sphi(sphi) - , _t1(t1) - , _dt0(dt0) - , _interpolate(interpolate) - , _constterm(false) - , _circ0(circ0) - , _circ1(circ1) - {} - - MagneticCircle(real a, real f, real lat, real h, real t, - real cphi, real sphi, real t1, real dt0, - bool interpolate, - const CircularEngine& circ0, const CircularEngine& circ1, - const CircularEngine& circ2) - : _a(a) - , _f(f) - , _lat(lat) - , _h(h) - , _t(t) - , _cphi(cphi) - , _sphi(sphi) - , _t1(t1) - , _dt0(dt0) - , _interpolate(interpolate) - , _constterm(true) - , _circ0(circ0) - , _circ1(circ1) - , _circ2(circ2) - {} - - void Field(real lon, bool diffp, - real& Bx, real& By, real& Bz, - real& Bxt, real& Byt, real& Bzt) const; - - friend class MagneticModel; // MagneticModel calls the private constructor - - public: - - /** - * A default constructor for the normal gravity. This sets up an - * uninitialized object which can be later replaced by the - * MagneticModel::Circle. - **********************************************************************/ - MagneticCircle() : _a(-1) {} - - /** \name Compute the magnetic field - **********************************************************************/ - ///@{ - /** - * Evaluate the components of the geomagnetic field at a particular - * longitude. - * - * @param[in] lon longitude of the point (degrees). - * @param[out] Bx the easterly component of the magnetic field (nanotesla). - * @param[out] By the northerly component of the magnetic field - * (nanotesla). - * @param[out] Bz the vertical (up) component of the magnetic field - * (nanotesla). - **********************************************************************/ - void operator()(real lon, real& Bx, real& By, real& Bz) const { - real dummy; - Field(lon, false, Bx, By, Bz, dummy, dummy, dummy); - } - - /** - * Evaluate the components of the geomagnetic field and their time - * derivatives at a particular longitude. - * - * @param[in] lon longitude of the point (degrees). - * @param[out] Bx the easterly component of the magnetic field (nanotesla). - * @param[out] By the northerly component of the magnetic field - * (nanotesla). - * @param[out] Bz the vertical (up) component of the magnetic field - * (nanotesla). - * @param[out] Bxt the rate of change of \e Bx (nT/yr). - * @param[out] Byt the rate of change of \e By (nT/yr). - * @param[out] Bzt the rate of change of \e Bz (nT/yr). - **********************************************************************/ - void operator()(real lon, real& Bx, real& By, real& Bz, - real& Bxt, real& Byt, real& Bzt) const { - Field(lon, true, Bx, By, Bz, Bxt, Byt, Bzt); - } - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return true if the object has been initialized. - **********************************************************************/ - bool Init() const { return _a > 0; } - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the MagneticModel object used in the - * constructor. - **********************************************************************/ - Math::real EquatorialRadius() const - { return Init() ? _a : Math::NaN(); } - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the MagneticModel object used in the constructor. - **********************************************************************/ - Math::real Flattening() const - { return Init() ? _f : Math::NaN(); } - /** - * @return the latitude of the circle (degrees). - **********************************************************************/ - Math::real Latitude() const - { return Init() ? _lat : Math::NaN(); } - /** - * @return the height of the circle (meters). - **********************************************************************/ - Math::real Height() const - { return Init() ? _h : Math::NaN(); } - /** - * @return the time (fractional years). - **********************************************************************/ - Math::real Time() const - { return Init() ? _t : Math::NaN(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_MAGNETICCIRCLE_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/MagneticModel.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/MagneticModel.hpp deleted file mode 100644 index ba7df43ac0eee069f3c39f67856a882b5e3f8ebf..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/MagneticModel.hpp +++ /dev/null @@ -1,386 +0,0 @@ -/** - * \file MagneticModel.hpp - * \brief Header for GeographicLib::MagneticModel class - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_MAGNETICMODEL_HPP) -#define GEOGRAPHICLIB_MAGNETICMODEL_HPP 1 - -#include -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs vector -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - class MagneticCircle; - - /** - * \brief Model of the earth's magnetic field - * - * Evaluate the earth's magnetic field according to a model. At present only - * internal magnetic fields are handled. These are due to the earth's code - * and crust; these vary slowly (over many years). Excluded are the effects - * of currents in the ionosphere and magnetosphere which have daily and - * annual variations. - * - * See \ref magnetic for details of how to install the magnetic models and - * the data format. - * - * See - * - General information: - * - http://geomag.org/models/index.html - * - WMM2010: - * - https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml - * - https://ngdc.noaa.gov/geomag/WMM/data/WMM2010/WMM2010COF.zip - * - WMM2015 (deprecated): - * - https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml - * - https://ngdc.noaa.gov/geomag/WMM/data/WMM2015/WMM2015COF.zip - * - WMM2015V2: - * - https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml - * - https://ngdc.noaa.gov/geomag/WMM/data/WMM2015/WMM2015v2COF.zip - * - WMM2020: - * - https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml - * - https://ngdc.noaa.gov/geomag/WMM/data/WMM2020/WMM2020COF.zip - * - IGRF11: - * - https://ngdc.noaa.gov/IAGA/vmod/igrf.html - * - https://ngdc.noaa.gov/IAGA/vmod/igrf11coeffs.txt - * - https://ngdc.noaa.gov/IAGA/vmod/geomag70_linux.tar.gz - * - EMM2010: - * - https://ngdc.noaa.gov/geomag/EMM/index.html - * - https://ngdc.noaa.gov/geomag/EMM/data/geomag/EMM2010_Sph_Windows_Linux.zip - * - EMM2015: - * - https://ngdc.noaa.gov/geomag/EMM/index.html - * - https://www.ngdc.noaa.gov/geomag/EMM/data/geomag/EMM2015_Sph_Linux.zip - * - EMM2017: - * - https://ngdc.noaa.gov/geomag/EMM/index.html - * - https://www.ngdc.noaa.gov/geomag/EMM/data/geomag/EMM2017_Sph_Linux.zip - * - * Example of use: - * \include example-MagneticModel.cpp - * - * MagneticField is a command-line utility - * providing access to the functionality of MagneticModel and MagneticCircle. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT MagneticModel { - private: - typedef Math::real real; - static const int idlength_ = 8; - std::string _name, _dir, _description, _date, _filename, _id; - real _t0, _dt0, _tmin, _tmax, _a, _hmin, _hmax; - int _Nmodels, _Nconstants, _nmx, _mmx; - SphericalHarmonic::normalization _norm; - Geocentric _earth; - std::vector< std::vector > _G; - std::vector< std::vector > _H; - std::vector _harm; - void Field(real t, real lat, real lon, real h, bool diffp, - real& Bx, real& By, real& Bz, - real& Bxt, real& Byt, real& Bzt) const; - void ReadMetadata(const std::string& name); - MagneticModel(const MagneticModel&); // copy constructor not allowed - MagneticModel& operator=(const MagneticModel&); // nor copy assignment - public: - - /** \name Setting up the magnetic model - **********************************************************************/ - ///@{ - /** - * Construct a magnetic model. - * - * @param[in] name the name of the model. - * @param[in] path (optional) directory for data file. - * @param[in] earth (optional) Geocentric object for converting - * coordinates; default Geocentric::WGS84(). - * @param[in] Nmax (optional) if non-negative, truncate the degree of the - * model this value. - * @param[in] Mmax (optional) if non-negative, truncate the order of the - * model this value. - * @exception GeographicErr if the data file cannot be found, is - * unreadable, or is corrupt, or if \e Mmax > \e Nmax. - * @exception std::bad_alloc if the memory necessary for storing the model - * can't be allocated. - * - * A filename is formed by appending ".wmm" (World Magnetic Model) to the - * name. If \e path is specified (and is non-empty), then the file is - * loaded from directory, \e path. Otherwise the path is given by the - * DefaultMagneticPath(). - * - * This file contains the metadata which specifies the properties of the - * model. The coefficients for the spherical harmonic sums are obtained - * from a file obtained by appending ".cof" to metadata file (so the - * filename ends in ".wwm.cof"). - * - * The model is not tied to a particular ellipsoidal model of the earth. - * The final earth argument to the constructor specifies an ellipsoid to - * allow geodetic coordinates to the transformed into the spherical - * coordinates used in the spherical harmonic sum. - * - * If \e Nmax ≥ 0 and \e Mmax < 0, then \e Mmax is set to \e Nmax. - * After the model is loaded, the maximum degree and order of the model can - * be found by the Degree() and Order() methods. - **********************************************************************/ - explicit MagneticModel(const std::string& name, - const std::string& path = "", - const Geocentric& earth = Geocentric::WGS84(), - int Nmax = -1, int Mmax = -1); - ///@} - - /** \name Compute the magnetic field - **********************************************************************/ - ///@{ - /** - * Evaluate the components of the geomagnetic field. - * - * @param[in] t the time (years). - * @param[in] lat latitude of the point (degrees). - * @param[in] lon longitude of the point (degrees). - * @param[in] h the height of the point above the ellipsoid (meters). - * @param[out] Bx the easterly component of the magnetic field (nanotesla). - * @param[out] By the northerly component of the magnetic field - * (nanotesla). - * @param[out] Bz the vertical (up) component of the magnetic field - * (nanotesla). - **********************************************************************/ - void operator()(real t, real lat, real lon, real h, - real& Bx, real& By, real& Bz) const { - real dummy; - Field(t, lat, lon, h, false, Bx, By, Bz, dummy, dummy, dummy); - } - - /** - * Evaluate the components of the geomagnetic field and their time - * derivatives - * - * @param[in] t the time (years). - * @param[in] lat latitude of the point (degrees). - * @param[in] lon longitude of the point (degrees). - * @param[in] h the height of the point above the ellipsoid (meters). - * @param[out] Bx the easterly component of the magnetic field (nanotesla). - * @param[out] By the northerly component of the magnetic field - * (nanotesla). - * @param[out] Bz the vertical (up) component of the magnetic field - * (nanotesla). - * @param[out] Bxt the rate of change of \e Bx (nT/yr). - * @param[out] Byt the rate of change of \e By (nT/yr). - * @param[out] Bzt the rate of change of \e Bz (nT/yr). - **********************************************************************/ - void operator()(real t, real lat, real lon, real h, - real& Bx, real& By, real& Bz, - real& Bxt, real& Byt, real& Bzt) const { - Field(t, lat, lon, h, true, Bx, By, Bz, Bxt, Byt, Bzt); - } - - /** - * Create a MagneticCircle object to allow the geomagnetic field at many - * points with constant \e lat, \e h, and \e t and varying \e lon to be - * computed efficiently. - * - * @param[in] t the time (years). - * @param[in] lat latitude of the point (degrees). - * @param[in] h the height of the point above the ellipsoid (meters). - * @exception std::bad_alloc if the memory necessary for creating a - * MagneticCircle can't be allocated. - * @return a MagneticCircle object whose MagneticCircle::operator()(real - * lon) member function computes the field at particular values of \e - * lon. - * - * If the field at several points on a circle of latitude need to be - * calculated then creating a MagneticCircle and using its member functions - * will be substantially faster, especially for high-degree models. - **********************************************************************/ - MagneticCircle Circle(real t, real lat, real h) const; - - /** - * Compute various quantities dependent on the magnetic field. - * - * @param[in] Bx the \e x (easterly) component of the magnetic field (nT). - * @param[in] By the \e y (northerly) component of the magnetic field (nT). - * @param[in] Bz the \e z (vertical, up positive) component of the magnetic - * field (nT). - * @param[out] H the horizontal magnetic field (nT). - * @param[out] F the total magnetic field (nT). - * @param[out] D the declination of the field (degrees east of north). - * @param[out] I the inclination of the field (degrees down from - * horizontal). - **********************************************************************/ - static void FieldComponents(real Bx, real By, real Bz, - real& H, real& F, real& D, real& I) { - real Ht, Ft, Dt, It; - FieldComponents(Bx, By, Bz, real(0), real(1), real(0), - H, F, D, I, Ht, Ft, Dt, It); - } - - /** - * Compute various quantities dependent on the magnetic field and its rate - * of change. - * - * @param[in] Bx the \e x (easterly) component of the magnetic field (nT). - * @param[in] By the \e y (northerly) component of the magnetic field (nT). - * @param[in] Bz the \e z (vertical, up positive) component of the magnetic - * field (nT). - * @param[in] Bxt the rate of change of \e Bx (nT/yr). - * @param[in] Byt the rate of change of \e By (nT/yr). - * @param[in] Bzt the rate of change of \e Bz (nT/yr). - * @param[out] H the horizontal magnetic field (nT). - * @param[out] F the total magnetic field (nT). - * @param[out] D the declination of the field (degrees east of north). - * @param[out] I the inclination of the field (degrees down from - * horizontal). - * @param[out] Ht the rate of change of \e H (nT/yr). - * @param[out] Ft the rate of change of \e F (nT/yr). - * @param[out] Dt the rate of change of \e D (degrees/yr). - * @param[out] It the rate of change of \e I (degrees/yr). - **********************************************************************/ - static void FieldComponents(real Bx, real By, real Bz, - real Bxt, real Byt, real Bzt, - real& H, real& F, real& D, real& I, - real& Ht, real& Ft, real& Dt, real& It); - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return the description of the magnetic model, if available, from the - * Description file in the data file; if absent, return "NONE". - **********************************************************************/ - const std::string& Description() const { return _description; } - - /** - * @return date of the model, if available, from the ReleaseDate field in - * the data file; if absent, return "UNKNOWN". - **********************************************************************/ - const std::string& DateTime() const { return _date; } - - /** - * @return full file name used to load the magnetic model. - **********************************************************************/ - const std::string& MagneticFile() const { return _filename; } - - /** - * @return "name" used to load the magnetic model (from the first argument - * of the constructor, but this may be overridden by the model file). - **********************************************************************/ - const std::string& MagneticModelName() const { return _name; } - - /** - * @return directory used to load the magnetic model. - **********************************************************************/ - const std::string& MagneticModelDirectory() const { return _dir; } - - /** - * @return the minimum height above the ellipsoid (in meters) for which - * this MagneticModel should be used. - * - * Because the model will typically provide useful results - * slightly outside the range of allowed heights, no check of \e t - * argument is made by MagneticModel::operator()() or - * MagneticModel::Circle. - **********************************************************************/ - Math::real MinHeight() const { return _hmin; } - - /** - * @return the maximum height above the ellipsoid (in meters) for which - * this MagneticModel should be used. - * - * Because the model will typically provide useful results - * slightly outside the range of allowed heights, no check of \e t - * argument is made by MagneticModel::operator()() or - * MagneticModel::Circle. - **********************************************************************/ - Math::real MaxHeight() const { return _hmax; } - - /** - * @return the minimum time (in years) for which this MagneticModel should - * be used. - * - * Because the model will typically provide useful results - * slightly outside the range of allowed times, no check of \e t - * argument is made by MagneticModel::operator()() or - * MagneticModel::Circle. - **********************************************************************/ - Math::real MinTime() const { return _tmin; } - - /** - * @return the maximum time (in years) for which this MagneticModel should - * be used. - * - * Because the model will typically provide useful results - * slightly outside the range of allowed times, no check of \e t - * argument is made by MagneticModel::operator()() or - * MagneticModel::Circle. - **********************************************************************/ - Math::real MaxTime() const { return _tmax; } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value of \e a inherited from the Geocentric object used in the - * constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _earth.EquatorialRadius(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geocentric object used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _earth.Flattening(); } - - /** - * @return \e Nmax the maximum degree of the components of the model. - **********************************************************************/ - int Degree() const { return _nmx; } - - /** - * @return \e Mmax the maximum order of the components of the model. - **********************************************************************/ - int Order() const { return _mmx; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * @return the default path for magnetic model data files. - * - * This is the value of the environment variable - * GEOGRAPHICLIB_MAGNETIC_PATH, if set; otherwise, it is - * $GEOGRAPHICLIB_DATA/magnetic if the environment variable - * GEOGRAPHICLIB_DATA is set; otherwise, it is a compile-time default - * (/usr/local/share/GeographicLib/magnetic on non-Windows systems and - * C:/ProgramData/GeographicLib/magnetic on Windows systems). - **********************************************************************/ - static std::string DefaultMagneticPath(); - - /** - * @return the default name for the magnetic model. - * - * This is the value of the environment variable - * GEOGRAPHICLIB_MAGNETIC_NAME, if set; otherwise, it is "wmm2020". The - * MagneticModel class does not use this function; it is just provided as a - * convenience for a calling program when constructing a MagneticModel - * object. - **********************************************************************/ - static std::string DefaultMagneticName(); - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_MAGNETICMODEL_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Math.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Math.hpp deleted file mode 100644 index dc13a1b06c56f39d3d90b50442436ff4fd42cbc1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Math.hpp +++ /dev/null @@ -1,647 +0,0 @@ -/** - * \file Math.hpp - * \brief Header for GeographicLib::Math class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -// Constants.hpp includes Math.hpp. Place this include outside Math.hpp's -// include guard to enforce this ordering. -#include - -#if !defined(GEOGRAPHICLIB_MATH_HPP) -#define GEOGRAPHICLIB_MATH_HPP 1 - -/** - * Are C++11 math functions available? - **********************************************************************/ -#if !defined(GEOGRAPHICLIB_CXX11_MATH) -// Recent versions of g++ -std=c++11 (4.7 and later?) set __cplusplus to 201103 -// and support the new C++11 mathematical functions, std::atanh, etc. However -// the Android toolchain, which uses g++ -std=c++11 (4.8 as of 2014-03-11, -// according to Pullan Lu), does not support std::atanh. Android toolchains -// might define __ANDROID__ or ANDROID; so need to check both. With OSX the -// version is GNUC version 4.2 and __cplusplus is set to 201103, so remove the -// version check on GNUC. -# if defined(__GNUC__) && __cplusplus >= 201103 && \ - !(defined(__ANDROID__) || defined(ANDROID) || defined(__CYGWIN__)) -# define GEOGRAPHICLIB_CXX11_MATH 1 -// Visual C++ 12 supports these functions -# elif defined(_MSC_VER) && _MSC_VER >= 1800 -# define GEOGRAPHICLIB_CXX11_MATH 1 -# else -# define GEOGRAPHICLIB_CXX11_MATH 0 -# endif -#endif - -#if !defined(GEOGRAPHICLIB_WORDS_BIGENDIAN) -# define GEOGRAPHICLIB_WORDS_BIGENDIAN 0 -#endif - -#if !defined(GEOGRAPHICLIB_HAVE_LONG_DOUBLE) -# define GEOGRAPHICLIB_HAVE_LONG_DOUBLE 0 -#endif - -#if !defined(GEOGRAPHICLIB_PRECISION) -/** - * The precision of floating point numbers used in %GeographicLib. 1 means - * float (single precision); 2 (the default) means double; 3 means long double; - * 4 is reserved for quadruple precision. Nearly all the testing has been - * carried out with doubles and that's the recommended configuration. In order - * for long double to be used, GEOGRAPHICLIB_HAVE_LONG_DOUBLE needs to be - * defined. Note that with Microsoft Visual Studio, long double is the same as - * double. - **********************************************************************/ -# define GEOGRAPHICLIB_PRECISION 2 -#endif - -#include -#include -#include - -#if GEOGRAPHICLIB_PRECISION == 4 -#include -#include -#include -#elif GEOGRAPHICLIB_PRECISION == 5 -#include -#endif - -#if GEOGRAPHICLIB_PRECISION > 3 -// volatile keyword makes no sense for multiprec types -#define GEOGRAPHICLIB_VOLATILE -// Signal a convergence failure with multiprec types by throwing an exception -// at loop exit. -#define GEOGRAPHICLIB_PANIC \ - (throw GeographicLib::GeographicErr("Convergence failure"), false) -#else -#define GEOGRAPHICLIB_VOLATILE volatile -// Ignore convergence failures with standard floating points types by allowing -// loop to exit cleanly. -#define GEOGRAPHICLIB_PANIC false -#endif - -namespace GeographicLib { - - /** - * \brief Mathematical functions needed by %GeographicLib - * - * Define mathematical functions in order to localize system dependencies and - * to provide generic versions of the functions. In addition define a real - * type to be used by %GeographicLib. - * - * Example of use: - * \include example-Math.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT Math { - private: - void dummy(); // Static check for GEOGRAPHICLIB_PRECISION - Math(); // Disable constructor - public: - -#if GEOGRAPHICLIB_HAVE_LONG_DOUBLE - /** - * The extended precision type for real numbers, used for some testing. - * This is long double on computers with this type; otherwise it is double. - **********************************************************************/ - typedef long double extended; -#else - typedef double extended; -#endif - -#if GEOGRAPHICLIB_PRECISION == 2 - /** - * The real type for %GeographicLib. Nearly all the testing has been done - * with \e real = double. However, the algorithms should also work with - * float and long double (where available). (CAUTION: reasonable - * accuracy typically cannot be obtained using floats.) - **********************************************************************/ - typedef double real; -#elif GEOGRAPHICLIB_PRECISION == 1 - typedef float real; -#elif GEOGRAPHICLIB_PRECISION == 3 - typedef extended real; -#elif GEOGRAPHICLIB_PRECISION == 4 - typedef boost::multiprecision::float128 real; -#elif GEOGRAPHICLIB_PRECISION == 5 - typedef mpfr::mpreal real; -#else - typedef double real; -#endif - - /** - * @return the number of bits of precision in a real number. - **********************************************************************/ - static int digits(); - - /** - * Set the binary precision of a real number. - * - * @param[in] ndigits the number of bits of precision. - * @return the resulting number of bits of precision. - * - * This only has an effect when GEOGRAPHICLIB_PRECISION = 5. See also - * Utility::set_digits for caveats about when this routine should be - * called. - **********************************************************************/ - static int set_digits(int ndigits); - - /** - * @return the number of decimal digits of precision in a real number. - **********************************************************************/ - static int digits10(); - - /** - * Number of additional decimal digits of precision for real relative to - * double (0 for float). - **********************************************************************/ - static int extra_digits(); - - /** - * true if the machine is big-endian. - **********************************************************************/ - static const bool bigendian = GEOGRAPHICLIB_WORDS_BIGENDIAN; - - /** - * @tparam T the type of the returned value. - * @return π. - **********************************************************************/ - template static T pi() { - using std::atan2; - static const T pi = atan2(T(0), T(-1)); - return pi; - } - /** - * A synonym for pi(). - **********************************************************************/ - static real pi() { return pi(); } - - /** - * @tparam T the type of the returned value. - * @return the number of radians in a degree. - **********************************************************************/ - template static T degree() { - static const T degree = pi() / 180; - return degree; - } - /** - * A synonym for degree(). - **********************************************************************/ - static real degree() { return degree(); } - - /** - * Square a number. - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return x2. - **********************************************************************/ - template static T sq(T x) - { return x * x; } - - /** - * The hypotenuse function avoiding underflow and overflow. - * - * @tparam T the type of the arguments and the returned value. - * @param[in] x - * @param[in] y - * @return sqrt(x2 + y2). - **********************************************************************/ - template static T hypot(T x, T y); - - /** - * exp(\e x) − 1 accurate near \e x = 0. - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return exp(\e x) − 1. - **********************************************************************/ - template static T expm1(T x); - - /** - * log(1 + \e x) accurate near \e x = 0. - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return log(1 + \e x). - **********************************************************************/ - template static T log1p(T x); - - /** - * The inverse hyperbolic sine function. - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return asinh(\e x). - **********************************************************************/ - template static T asinh(T x); - - /** - * The inverse hyperbolic tangent function. - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return atanh(\e x). - **********************************************************************/ - template static T atanh(T x); - - /** - * Copy the sign. - * - * @tparam T the type of the argument. - * @param[in] x gives the magitude of the result. - * @param[in] y gives the sign of the result. - * @return value with the magnitude of \e x and with the sign of \e y. - * - * This routine correctly handles the case \e y = −0, returning - * &minus|x|. - **********************************************************************/ - template static T copysign(T x, T y); - - /** - * The cube root function. - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return the real cube root of \e x. - **********************************************************************/ - template static T cbrt(T x); - - /** - * The remainder function. - * - * @tparam T the type of the arguments and the returned value. - * @param[in] x - * @param[in] y - * @return the remainder of \e x/\e y in the range [−\e y/2, \e y/2]. - **********************************************************************/ - template static T remainder(T x, T y); - - /** - * The remquo function. - * - * @tparam T the type of the arguments and the returned value. - * @param[in] x - * @param[in] y - * @param[out] n the low 3 bits of the quotient - * @return the remainder of \e x/\e y in the range [−\e y/2, \e y/2]. - **********************************************************************/ - template static T remquo(T x, T y, int* n); - - /** - * The round function. - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return \e x round to the nearest integer (ties round away from 0). - **********************************************************************/ - template static T round(T x); - - /** - * The lround function. - * - * @tparam T the type of the argument. - * @param[in] x - * @return \e x round to the nearest integer as a long int (ties round away - * from 0). - * - * If the result does not fit in a long int, the return value is undefined. - **********************************************************************/ - template static long lround(T x); - - /** - * Fused multiply and add. - * - * @tparam T the type of the arguments and the returned value. - * @param[in] x - * @param[in] y - * @param[in] z - * @return xy + z, correctly rounded (on those platforms with - * support for the fma instruction). - * - * On platforms without the fma instruction, no attempt is - * made to improve on the result of a rounded multiplication followed by a - * rounded addition. - **********************************************************************/ - template static T fma(T x, T y, T z); - - /** - * Normalize a two-vector. - * - * @tparam T the type of the argument and the returned value. - * @param[in,out] x on output set to x/hypot(x, y). - * @param[in,out] y on output set to y/hypot(x, y). - **********************************************************************/ - template static void norm(T& x, T& y) - { T h = hypot(x, y); x /= h; y /= h; } - - /** - * The error-free sum of two numbers. - * - * @tparam T the type of the argument and the returned value. - * @param[in] u - * @param[in] v - * @param[out] t the exact error given by (\e u + \e v) - \e s. - * @return \e s = round(\e u + \e v). - * - * See D. E. Knuth, TAOCP, Vol 2, 4.2.2, Theorem B. (Note that \e t can be - * the same as one of the first two arguments.) - **********************************************************************/ - template static T sum(T u, T v, T& t); - - /** - * Evaluate a polynomial. - * - * @tparam T the type of the arguments and returned value. - * @param[in] N the order of the polynomial. - * @param[in] p the coefficient array (of size \e N + 1). - * @param[in] x the variable. - * @return the value of the polynomial. - * - * Evaluate y = ∑n=0..N - * pn xN−n. - * Return 0 if \e N < 0. Return p0, if \e N = 0 (even - * if \e x is infinite or a nan). The evaluation uses Horner's method. - **********************************************************************/ - template static T polyval(int N, const T p[], T x) - // This used to employ Math::fma; but that's too slow and it seemed not to - // improve the accuracy noticeably. This might change when there's direct - // hardware support for fma. - { T y = N < 0 ? 0 : *p++; while (--N >= 0) y = y * x + *p++; return y; } - - /** - * Normalize an angle. - * - * @tparam T the type of the argument and returned value. - * @param[in] x the angle in degrees. - * @return the angle reduced to the range (−180°, 180°]. - * - * The range of \e x is unrestricted. - **********************************************************************/ - template static T AngNormalize(T x) { - x = remainder(x, T(360)); return x != -180 ? x : 180; - } - - /** - * Normalize a latitude. - * - * @tparam T the type of the argument and returned value. - * @param[in] x the angle in degrees. - * @return x if it is in the range [−90°, 90°], otherwise - * return NaN. - **********************************************************************/ - template static T LatFix(T x) - { using std::abs; return abs(x) > 90 ? NaN() : x; } - - /** - * The exact difference of two angles reduced to - * (−180°, 180°]. - * - * @tparam T the type of the arguments and returned value. - * @param[in] x the first angle in degrees. - * @param[in] y the second angle in degrees. - * @param[out] e the error term in degrees. - * @return \e d, the truncated value of \e y − \e x. - * - * This computes \e z = \e y − \e x exactly, reduced to - * (−180°, 180°]; and then sets \e z = \e d + \e e where \e d - * is the nearest representable number to \e z and \e e is the truncation - * error. If \e d = −180, then \e e > 0; If \e d = 180, then \e e - * ≤ 0. - **********************************************************************/ - template static T AngDiff(T x, T y, T& e) { - T t, d = AngNormalize(sum(remainder(-x, T(360)), - remainder( y, T(360)), t)); - // Here y - x = d + t (mod 360), exactly, where d is in (-180,180] and - // abs(t) <= eps (eps = 2^-45 for doubles). The only case where the - // addition of t takes the result outside the range (-180,180] is d = 180 - // and t > 0. The case, d = -180 + eps, t = -eps, can't happen, since - // sum would have returned the exact result in such a case (i.e., given t - // = 0). - return sum(d == 180 && t > 0 ? -180 : d, t, e); - } - - /** - * Difference of two angles reduced to [−180°, 180°] - * - * @tparam T the type of the arguments and returned value. - * @param[in] x the first angle in degrees. - * @param[in] y the second angle in degrees. - * @return \e y − \e x, reduced to the range [−180°, - * 180°]. - * - * The result is equivalent to computing the difference exactly, reducing - * it to (−180°, 180°] and rounding the result. Note that - * this prescription allows −180° to be returned (e.g., if \e x - * is tiny and negative and \e y = 180°). - **********************************************************************/ - template static T AngDiff(T x, T y) - { T e; return AngDiff(x, y, e); } - - /** - * Coarsen a value close to zero. - * - * @tparam T the type of the argument and returned value. - * @param[in] x - * @return the coarsened value. - * - * The makes the smallest gap in \e x = 1/16 − nextafter(1/16, 0) = - * 1/257 for reals = 0.7 pm on the earth if \e x is an angle in - * degrees. (This is about 1000 times more resolution than we get with - * angles around 90°.) We use this to avoid having to deal with near - * singular cases when \e x is non-zero but tiny (e.g., - * 10−200). This converts −0 to +0; however tiny - * negative numbers get converted to −0. - **********************************************************************/ - template static T AngRound(T x); - - /** - * Evaluate the sine and cosine function with the argument in degrees - * - * @tparam T the type of the arguments. - * @param[in] x in degrees. - * @param[out] sinx sin(x). - * @param[out] cosx cos(x). - * - * The results obey exactly the elementary properties of the trigonometric - * functions, e.g., sin 9° = cos 81° = − sin 123456789°. - * If x = −0, then \e sinx = −0; this is the only case where - * −0 is returned. - **********************************************************************/ - template static void sincosd(T x, T& sinx, T& cosx); - - /** - * Evaluate the sine function with the argument in degrees - * - * @tparam T the type of the argument and the returned value. - * @param[in] x in degrees. - * @return sin(x). - **********************************************************************/ - template static T sind(T x); - - /** - * Evaluate the cosine function with the argument in degrees - * - * @tparam T the type of the argument and the returned value. - * @param[in] x in degrees. - * @return cos(x). - **********************************************************************/ - template static T cosd(T x); - - /** - * Evaluate the tangent function with the argument in degrees - * - * @tparam T the type of the argument and the returned value. - * @param[in] x in degrees. - * @return tan(x). - * - * If \e x = ±90°, then a suitably large (but finite) value is - * returned. - **********************************************************************/ - template static T tand(T x); - - /** - * Evaluate the atan2 function with the result in degrees - * - * @tparam T the type of the arguments and the returned value. - * @param[in] y - * @param[in] x - * @return atan2(y, x) in degrees. - * - * The result is in the range (−180° 180°]. N.B., - * atan2d(±0, −1) = +180°; atan2d(−ε, - * −1) = −180°, for ε positive and tiny; - * atan2d(±0, +1) = ±0°. - **********************************************************************/ - template static T atan2d(T y, T x); - - /** - * Evaluate the atan function with the result in degrees - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return atan(x) in degrees. - **********************************************************************/ - template static T atand(T x); - - /** - * Evaluate e atanh(e x) - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @param[in] es the signed eccentricity = sign(e2) - * sqrt(|e2|) - * @return e atanh(e x) - * - * If e2 is negative (e is imaginary), the - * expression is evaluated in terms of atan. - **********************************************************************/ - template static T eatanhe(T x, T es); - - /** - * tanχ in terms of tanφ - * - * @tparam T the type of the argument and the returned value. - * @param[in] tau τ = tanφ - * @param[in] es the signed eccentricity = sign(e2) - * sqrt(|e2|) - * @return τ′ = tanχ - * - * See Eqs. (7--9) of - * C. F. F. Karney, - * - * Transverse Mercator with an accuracy of a few nanometers, - * J. Geodesy 85(8), 475--485 (Aug. 2011) - * (preprint - * arXiv:1002.1417). - **********************************************************************/ - template static T taupf(T tau, T es); - - /** - * tanφ in terms of tanχ - * - * @tparam T the type of the argument and the returned value. - * @param[in] taup τ′ = tanχ - * @param[in] es the signed eccentricity = sign(e2) - * sqrt(|e2|) - * @return τ = tanφ - * - * See Eqs. (19--21) of - * C. F. F. Karney, - * - * Transverse Mercator with an accuracy of a few nanometers, - * J. Geodesy 85(8), 475--485 (Aug. 2011) - * (preprint - * arXiv:1002.1417). - **********************************************************************/ - template static T tauf(T taup, T es); - - /** - * Test for finiteness. - * - * @tparam T the type of the argument. - * @param[in] x - * @return true if number is finite, false if NaN or infinite. - **********************************************************************/ - template static bool isfinite(T x); - - /** - * The NaN (not a number) - * - * @tparam T the type of the returned value. - * @return NaN if available, otherwise return the max real of type T. - **********************************************************************/ - template static T NaN(); - - /** - * A synonym for NaN(). - **********************************************************************/ - static real NaN() { return NaN(); } - - /** - * Test for NaN. - * - * @tparam T the type of the argument. - * @param[in] x - * @return true if argument is a NaN. - **********************************************************************/ - template static bool isnan(T x); - - /** - * Infinity - * - * @tparam T the type of the returned value. - * @return infinity if available, otherwise return the max real. - **********************************************************************/ - template static T infinity(); - - /** - * A synonym for infinity(). - **********************************************************************/ - static real infinity() { return infinity(); } - - /** - * Swap the bytes of a quantity - * - * @tparam T the type of the argument and the returned value. - * @param[in] x - * @return x with its bytes swapped. - **********************************************************************/ - template static T swab(T x) { - union { - T r; - unsigned char c[sizeof(T)]; - } b; - b.r = x; - for (int i = sizeof(T)/2; i--; ) - std::swap(b.c[i], b.c[sizeof(T) - 1 - i]); - return b.r; - } - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_MATH_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/NearestNeighbor.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/NearestNeighbor.hpp deleted file mode 100644 index 159ce0dc65a205b917acb33620340e2071d8bade..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/NearestNeighbor.hpp +++ /dev/null @@ -1,838 +0,0 @@ -/** - * \file NearestNeighbor.hpp - * \brief Header for GeographicLib::NearestNeighbor class - * - * Copyright (c) Charles Karney (2016-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_NEARESTNEIGHBOR_HPP) -#define GEOGRAPHICLIB_NEARESTNEIGHBOR_HPP 1 - -#include // for nth_element, max_element, etc. -#include -#include // for priority_queue -#include // for swap + pair -#include -#include -#include -#include -#include -// Only for GEOGRAPHICLIB_STATIC_ASSERT and GeographicLib::GeographicErr -#include - -#if defined(GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION) && \ - GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION -#include -#include -#include -#include -#endif - -#if defined(_MSC_VER) -// Squelch warnings about constant conditional expressions -# pragma warning (push) -# pragma warning (disable: 4127) -#endif - -namespace GeographicLib { - - /** - * \brief Nearest-neighbor calculations - * - * This class solves the nearest-neighbor problm using a vantage-point tree - * as described in \ref nearest. - * - * This class is templated so that it can handle arbitrary metric spaces as - * follows: - * - * @tparam dist_t the type used for measuring distances; it can be a real or - * signed integer type; in typical geodetic applications, \e dist_t might - * be double. - * @tparam pos_t the type for specifying the positions of points; geodetic - * application might bundled the latitude and longitude into a - * std::pair. - * @tparam distfun_t the type of a function object which takes takes two - * positions (of type \e pos_t) and returns the distance (of type \e - * dist_t); in geodetic applications, this might be a class which is - * constructed with a Geodesic object and which implements a member - * function with a signature dist_t operator() (const pos_t&, const - * pos_t&) const, which returns the geodesic distance between two - * points. - * - * \note The distance measure must satisfy the triangle inequality, \f$ - * d(a,c) \le d(a,b) + d(b,c) \f$ for all points \e a, \e b, \e c. The - * geodesic distance (given by Geodesic::Inverse) does, while the great - * ellipse distance and the rhumb line distance do not. If you use - * the ordinary Euclidean distance, i.e., \f$ \sqrt{(x_a-x_b)^2 + - * (y_a-y_b)^2} \f$ for two dimensions, don't be tempted to leave out the - * square root in the interests of "efficiency"; the squared distance does - * not satisfy the triangle inequality! - * - * \note This is a "header-only" implementation and, as such, depends in a - * minimal way on the rest of GeographicLib (the only dependency is through - * the use of GEOGRAPHICLIB_STATIC_ASSERT and GeographicLib::GeographicErr - * for handling compile-time and run-time exceptions). Therefore, it is easy - * to extract this class from the rest of GeographicLib and use it as a - * stand-alone facility. - * - * The \e dist_t type must support numeric_limits queries (specifically: - * is_signed, is_integer, max(), digits). - * - * The NearestNeighbor object is constructed with a vector of points (type \e - * pos_t) and a distance function (type \e distfun_t). However the object - * does \e not store the points. When querying the object with Search(), - * it's necessary to supply the same vector of points and the same distance - * function. - * - * There's no capability in this implementation to add or remove points from - * the set. Instead Initialize() should be called to re-initialize the - * object with the modified vector of points. - * - * Because of the overhead in constructing a NearestNeighbor object for a - * large set of points, functions Save() and Load() are provided to save the - * object to an external file. operator<<(), operator>>() and Boost - * serialization can also be used to save and restore a NearestNeighbor - * object. This is illustrated in the example. - * - * Example of use: - * \include example-NearestNeighbor.cpp - **********************************************************************/ - template - class NearestNeighbor { - // For tracking changes to the I/O format - static const int version = 1; - // This is what we get "free"; but if sizeof(dist_t) = 1 (unlikely), allow - // 4 slots (and this accommodates the default value bucket = 4). - static const int maxbucket = - (2 + ((4 * sizeof(dist_t)) / sizeof(int) >= 2 ? - (4 * sizeof(dist_t)) / sizeof(int) : 2)); - public: - - /** - * Default constructor for NearestNeighbor. - * - * This is equivalent to specifying an empty set of points. - **********************************************************************/ - NearestNeighbor() : _numpoints(0), _bucket(0), _cost(0) {} - - /** - * Constructor for NearestNeighbor. - * - * @param[in] pts a vector of points to include in the set. - * @param[in] dist the distance function object. - * @param[in] bucket the size of the buckets at the leaf nodes; this must - * lie in [0, 2 + 4*sizeof(dist_t)/sizeof(int)] (default 4). - * @exception GeographicErr if the value of \e bucket is out of bounds or - * the size of \e pts is too big for an int. - * @exception std::bad_alloc if memory for the tree can't be allocated. - * - * \e pts may contain coincident points (i.e., the distance between them - * vanishes); these are treated as distinct. - * - * The choice of \e bucket is a tradeoff between space and efficiency. A - * larger \e bucket decreases the size of the NearestNeighbor object which - * scales as pts.size() / max(1, bucket) and reduces the number of distance - * calculations to construct the object by log2(bucket) * pts.size(). - * However each search then requires about bucket additional distance - * calculations. - * - * \warning The distances computed by \e dist must satisfy the standard - * metric conditions. If not, the results are undefined. Neither the data - * in \e pts nor the query points should contain NaNs or infinities because - * such data violates the metric conditions. - * - * \warning The same arguments \e pts and \e dist must be provided - * to the Search() function. - **********************************************************************/ - NearestNeighbor(const std::vector& pts, const distfun_t& dist, - int bucket = 4) { - Initialize(pts, dist, bucket); - } - - /** - * Initialize or re-initialize NearestNeighbor. - * - * @param[in] pts a vector of points to include in the tree. - * @param[in] dist the distance function object. - * @param[in] bucket the size of the buckets at the leaf nodes; this must - * lie in [0, 2 + 4*sizeof(dist_t)/sizeof(int)] (default 4). - * @exception GeographicErr if the value of \e bucket is out of bounds or - * the size of \e pts is too big for an int. - * @exception std::bad_alloc if memory for the tree can't be allocated. - * - * See also the documentation on the constructor. - * - * If an exception is thrown, the state of the NearestNeighbor is - * unchanged. - **********************************************************************/ - void Initialize(const std::vector& pts, const distfun_t& dist, - int bucket = 4) { - GEOGRAPHICLIB_STATIC_ASSERT(std::numeric_limits::is_signed, - "dist_t must be a signed type"); - if (!( 0 <= bucket && bucket <= maxbucket )) - throw GeographicLib::GeographicErr - ("bucket must lie in [0, 2 + 4*sizeof(dist_t)/sizeof(int)]"); - if (pts.size() > size_t(std::numeric_limits::max())) - throw GeographicLib::GeographicErr("pts array too big"); - // the pair contains distance+id - std::vector ids(pts.size()); - for (int k = int(ids.size()); k--;) - ids[k] = std::make_pair(dist_t(0), k); - int cost = 0; - std::vector tree; - init(pts, dist, bucket, tree, ids, cost, - 0, int(ids.size()), int(ids.size()/2)); - _tree.swap(tree); - _numpoints = int(pts.size()); - _bucket = bucket; - _mc = _sc = 0; - _cost = cost; _c1 = _k = _cmax = 0; - _cmin = std::numeric_limits::max(); - } - - /** - * Search the NearestNeighbor. - * - * @param[in] pts the vector of points used for initialization. - * @param[in] dist the distance function object used for initialization. - * @param[in] query the query point. - * @param[out] ind a vector of indices to the closest points found. - * @param[in] k the number of points to search for (default = 1). - * @param[in] maxdist only return points with distances of \e maxdist or - * less from \e query (default is the maximum \e dist_t). - * @param[in] mindist only return points with distances of more than - * \e mindist from \e query (default = −1). - * @param[in] exhaustive whether to do an exhaustive search (default true). - * @param[in] tol the tolerance on the results (default 0). - * @return the distance to the closest point found (−1 if no points - * are found). - * @exception GeographicErr if \e pts has a different size from that used - * to construct the object. - * - * The indices returned in \e ind are sorted by distance from \e query - * (closest first). - * - * The simplest invocation is with just the 4 non-optional arguments. This - * returns the closest distance and the index to the closest point in - * ind0. If there are several points equally close, then - * ind0 gives the index of an arbirary one of them. If - * there's no closest point (because the set of points is empty), then \e - * ind is empty and −1 is returned. - * - * With \e exhaustive = true and \e tol = 0 (their default values), this - * finds the indices of \e k closest neighbors to \e query whose distances - * to \e query are in (\e mindist, \e maxdist]. If \e mindist and \e - * maxdist have their default values, then these bounds have no effect. If - * \e query is one of the points in the tree, then set \e mindist = 0 to - * prevent this point (and other coincident points) from being returned. - * - * If \e exhaustive = false, exit as soon as \e k results satisfying the - * distance criteria are found. If less than \e k results are returned - * then the search was exhaustive even if \e exhaustive = false. - * - * If \e tol is positive, do an approximate search; in this case the - * results are to be interpreted as follows: if the k'th distance is - * \e dk, then all results with distances less than or equal \e dk − - * \e tol are correct; all others are suspect — there may be other - * closer results with distances greater or equal to \e dk − \e tol. - * If less than \e k results are found, then the search is exact. - * - * \e mindist should be used to exclude a "small" neighborhood of the query - * point (relative to the average spacing of the data). If \e mindist is - * large, the efficiency of the search deteriorates. - * - * \note Only the shortest distance is returned (as as the function value). - * The distances to other points (indexed by indj - * for \e j > 0) can be found by invoking \e dist again. - * - * \warning The arguments \e pts and \e dist must be identical to those - * used to initialize the NearestNeighbor; if not, this function will - * return some meaningless result (however, if the size of \e pts is wrong, - * this function throw an exception). - * - * \warning The query point cannot be a NaN or infinite because then the - * metric conditions are violated. - **********************************************************************/ - dist_t Search(const std::vector& pts, const distfun_t& dist, - const pos_t& query, - std::vector& ind, - int k = 1, - dist_t maxdist = std::numeric_limits::max(), - dist_t mindist = -1, - bool exhaustive = true, - dist_t tol = 0) const { - if (_numpoints != int(pts.size())) - throw GeographicLib::GeographicErr("pts array has wrong size"); - std::priority_queue results; - if (_numpoints > 0 && k > 0 && maxdist > mindist) { - // distance to the kth closest point so far - dist_t tau = maxdist; - // first is negative of how far query is outside boundary of node - // +1 if on boundary or inside - // second is node index - std::priority_queue todo; - todo.push(std::make_pair(dist_t(1), int(_tree.size()) - 1)); - int c = 0; - while (!todo.empty()) { - int n = todo.top().second; - dist_t d = -todo.top().first; - todo.pop(); - dist_t tau1 = tau - tol; - // compare tau and d again since tau may have become smaller. - if (!( n >= 0 && tau1 >= d )) continue; - const Node& current = _tree[n]; - dist_t dst = 0; // to suppress warning about uninitialized variable - bool exitflag = false, leaf = current.index < 0; - for (int i = 0; i < (leaf ? _bucket : 1); ++i) { - int index = leaf ? current.leaves[i] : current.index; - if (index < 0) break; - dst = dist(pts[index], query); - ++c; - - if (dst > mindist && dst <= tau) { - if (int(results.size()) == k) results.pop(); - results.push(std::make_pair(dst, index)); - if (int(results.size()) == k) { - if (exhaustive) - tau = results.top().first; - else { - exitflag = true; - break; - } - if (tau <= tol) { - exitflag = true; - break; - } - } - } - } - if (exitflag) break; - - if (current.index < 0) continue; - tau1 = tau - tol; - for (int l = 0; l < 2; ++l) { - if (current.data.child[l] >= 0 && - dst + current.data.upper[l] >= mindist) { - if (dst < current.data.lower[l]) { - d = current.data.lower[l] - dst; - if (tau1 >= d) - todo.push(std::make_pair(-d, current.data.child[l])); - } else if (dst > current.data.upper[l]) { - d = dst - current.data.upper[l]; - if (tau1 >= d) - todo.push(std::make_pair(-d, current.data.child[l])); - } else - todo.push(std::make_pair(dist_t(1), current.data.child[l])); - } - } - } - ++_k; - _c1 += c; - double omc = _mc; - _mc += (c - omc) / _k; - _sc += (c - omc) * (c - _mc); - if (c > _cmax) _cmax = c; - if (c < _cmin) _cmin = c; - } - - dist_t d = -1; - ind.resize(results.size()); - - for (int i = int(ind.size()); i--;) { - ind[i] = int(results.top().second); - if (i == 0) d = results.top().first; - results.pop(); - } - return d; - - } - - /** - * @return the total number of points in the set. - **********************************************************************/ - int NumPoints() const { return _numpoints; } - - /** - * Write the object to an I/O stream. - * - * @param[in,out] os the stream to write to. - * @param[in] bin if true (the default) save in binary mode. - * @exception std::bad_alloc if memory for the string representation of the - * object can't be allocated. - * - * The counters tracking the statistics of searches are not saved; however - * the initializtion cost is saved. The format of the binary saves is \e - * not portable. - * - * \note - * Boost serialization can also be used to save and restore a - * NearestNeighbor object. This requires that the - * GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION macro be defined. - **********************************************************************/ - void Save(std::ostream& os, bool bin = true) const { - int realspec = std::numeric_limits::digits * - (std::numeric_limits::is_integer ? -1 : 1); - if (bin) { - char id[] = "NearestNeighbor_"; - os.write(id, 16); - int buf[6]; - buf[0] = version; - buf[1] = realspec; - buf[2] = _bucket; - buf[3] = _numpoints; - buf[4] = int(_tree.size()); - buf[5] = _cost; - os.write(reinterpret_cast(buf), 6 * sizeof(int)); - for (int i = 0; i < int(_tree.size()); ++i) { - const Node& node = _tree[i]; - os.write(reinterpret_cast(&node.index), sizeof(int)); - if (node.index >= 0) { - os.write(reinterpret_cast(node.data.lower), - 2 * sizeof(dist_t)); - os.write(reinterpret_cast(node.data.upper), - 2 * sizeof(dist_t)); - os.write(reinterpret_cast(node.data.child), - 2 * sizeof(int)); - } else { - os.write(reinterpret_cast(node.leaves), - _bucket * sizeof(int)); - } - } - } else { - std::stringstream ostring; - // Ensure enough precision for type dist_t. With C++11, max_digits10 - // can be used instead. - if (!std::numeric_limits::is_integer) { - static const int prec - = int(std::ceil(std::numeric_limits::digits * - std::log10(2.0) + 1)); - ostring.precision(prec); - } - ostring << version << " " << realspec << " " << _bucket << " " - << _numpoints << " " << _tree.size() << " " << _cost; - for (int i = 0; i < int(_tree.size()); ++i) { - const Node& node = _tree[i]; - ostring << "\n" << node.index; - if (node.index >= 0) { - for (int l = 0; l < 2; ++l) - ostring << " " << node.data.lower[l] << " " << node.data.upper[l] - << " " << node.data.child[l]; - } else { - for (int l = 0; l < _bucket; ++l) - ostring << " " << node.leaves[l]; - } - } - os << ostring.str(); - } - } - - /** - * Read the object from an I/O stream. - * - * @param[in,out] is the stream to read from - * @param[in] bin if true (the default) load in binary mode. - * @exception GeographicErr if the state read from \e is is illegal. - * @exception std::bad_alloc if memory for the tree can't be allocated. - * - * The counters tracking the statistics of searches are reset by this - * operation. Binary data must have been saved on a machine with the same - * architecture. If an exception is thrown, the state of the - * NearestNeighbor is unchanged. - * - * \note - * Boost serialization can also be used to save and restore a - * NearestNeighbor object. This requires that the - * GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION macro be defined. - * - * \warning The same arguments \e pts and \e dist used for - * initialization must be provided to the Search() function. - **********************************************************************/ - void Load(std::istream& is, bool bin = true) { - int version1, realspec, bucket, numpoints, treesize, cost; - if (bin) { - char id[17]; - is.read(id, 16); - id[16] = '\0'; - if (!(std::strcmp(id, "NearestNeighbor_") == 0)) - throw GeographicLib::GeographicErr("Bad ID"); - is.read(reinterpret_cast(&version1), sizeof(int)); - is.read(reinterpret_cast(&realspec), sizeof(int)); - is.read(reinterpret_cast(&bucket), sizeof(int)); - is.read(reinterpret_cast(&numpoints), sizeof(int)); - is.read(reinterpret_cast(&treesize), sizeof(int)); - is.read(reinterpret_cast(&cost), sizeof(int)); - } else { - if (!( is >> version1 >> realspec >> bucket >> numpoints >> treesize - >> cost )) - throw GeographicLib::GeographicErr("Bad header"); - } - if (!( version1 == version )) - throw GeographicLib::GeographicErr("Incompatible version"); - if (!( realspec == std::numeric_limits::digits * - (std::numeric_limits::is_integer ? -1 : 1) )) - throw GeographicLib::GeographicErr("Different dist_t types"); - if (!( 0 <= bucket && bucket <= maxbucket )) - throw GeographicLib::GeographicErr("Bad bucket size"); - if (!( 0 <= treesize && treesize <= numpoints )) - throw - GeographicLib::GeographicErr("Bad number of points or tree size"); - if (!( 0 <= cost )) - throw GeographicLib::GeographicErr("Bad value for cost"); - std::vector tree; - tree.reserve(treesize); - for (int i = 0; i < treesize; ++i) { - Node node; - if (bin) { - is.read(reinterpret_cast(&node.index), sizeof(int)); - if (node.index >= 0) { - is.read(reinterpret_cast(node.data.lower), - 2 * sizeof(dist_t)); - is.read(reinterpret_cast(node.data.upper), - 2 * sizeof(dist_t)); - is.read(reinterpret_cast(node.data.child), - 2 * sizeof(int)); - } else { - is.read(reinterpret_cast(node.leaves), - bucket * sizeof(int)); - for (int l = bucket; l < maxbucket; ++l) - node.leaves[l] = 0; - } - } else { - if (!( is >> node.index )) - throw GeographicLib::GeographicErr("Bad index"); - if (node.index >= 0) { - for (int l = 0; l < 2; ++l) { - if (!( is >> node.data.lower[l] >> node.data.upper[l] - >> node.data.child[l] )) - throw GeographicLib::GeographicErr("Bad node data"); - } - } else { - // Must be at least one valid leaf followed by a sequence end - // markers (-1). - for (int l = 0; l < bucket; ++l) { - if (!( is >> node.leaves[l] )) - throw GeographicLib::GeographicErr("Bad leaf data"); - } - for (int l = bucket; l < maxbucket; ++l) - node.leaves[l] = 0; - } - } - node.Check(numpoints, treesize, bucket); - tree.push_back(node); - } - _tree.swap(tree); - _numpoints = numpoints; - _bucket = bucket; - _mc = _sc = 0; - _cost = cost; _c1 = _k = _cmax = 0; - _cmin = std::numeric_limits::max(); - } - - /** - * Write the object to stream \e os as text. - * - * @param[in,out] os the output stream. - * @param[in] t the NearestNeighbor object to be saved. - * @exception std::bad_alloc if memory for the string representation of the - * object can't be allocated. - **********************************************************************/ - friend std::ostream& operator<<(std::ostream& os, const NearestNeighbor& t) - { t.Save(os, false); return os; } - - /** - * Read the object from stream \e is as text. - * - * @param[in,out] is the input stream. - * @param[out] t the NearestNeighbor object to be loaded. - * @exception GeographicErr if the state read from \e is is illegal. - * @exception std::bad_alloc if memory for the tree can't be allocated. - **********************************************************************/ - friend std::istream& operator>>(std::istream& is, NearestNeighbor& t) - { t.Load(is, false); return is; } - - /** - * Swap with another NearestNeighbor object. - * - * @param[in,out] t the NearestNeighbor object to swap with. - **********************************************************************/ - void swap(NearestNeighbor& t) { - std::swap(_numpoints, t._numpoints); - std::swap(_bucket, t._bucket); - std::swap(_cost, t._cost); - _tree.swap(t._tree); - std::swap(_mc, t._mc); - std::swap(_sc, t._sc); - std::swap(_c1, t._c1); - std::swap(_k, t._k); - std::swap(_cmin, t._cmin); - std::swap(_cmax, t._cmax); - } - - /** - * The accumulated statistics on the searches so far. - * - * @param[out] setupcost the cost of initializing the NearestNeighbor. - * @param[out] numsearches the number of calls to Search(). - * @param[out] searchcost the total cost of the calls to Search(). - * @param[out] mincost the minimum cost of a Search(). - * @param[out] maxcost the maximum cost of a Search(). - * @param[out] mean the mean cost of a Search(). - * @param[out] sd the standard deviation in the cost of a Search(). - * - * Here "cost" measures the number of distance calculations needed. Note - * that the accumulation of statistics is \e not thread safe. - **********************************************************************/ - void Statistics(int& setupcost, int& numsearches, int& searchcost, - int& mincost, int& maxcost, - double& mean, double& sd) const { - setupcost = _cost; numsearches = _k; searchcost = _c1; - mincost = _cmin; maxcost = _cmax; - mean = _mc; sd = std::sqrt(_sc / (_k - 1)); - } - - /** - * Reset the counters for the accumulated statistics on the searches so - * far. - **********************************************************************/ - void ResetStatistics() const { - _mc = _sc = 0; - _c1 = _k = _cmax = 0; - _cmin = std::numeric_limits::max(); - } - - private: - // Package up a dist_t and an int. We will want to sort on the dist_t so - // put it first. - typedef std::pair item; - // \cond SKIP - class Node { - public: - struct bounds { - dist_t lower[2], upper[2]; // bounds on inner/outer distances - int child[2]; - }; - union { - bounds data; - int leaves[maxbucket]; - }; - int index; - - Node() - : index(-1) - { - for (int i = 0; i < 2; ++i) { - data.lower[i] = data.upper[i] = 0; - data.child[i] = -1; - } - } - - // Sanity check on a Node - void Check(int numpoints, int treesize, int bucket) const { - if (!( -1 <= index && index < numpoints )) - throw GeographicLib::GeographicErr("Bad index"); - if (index >= 0) { - if (!( -1 <= data.child[0] && data.child[0] < treesize && - -1 <= data.child[1] && data.child[1] < treesize )) - throw GeographicLib::GeographicErr("Bad child pointers"); - if (!( 0 <= data.lower[0] && data.lower[0] <= data.upper[0] && - data.upper[0] <= data.lower[1] && - data.lower[1] <= data.upper[1] )) - throw GeographicLib::GeographicErr("Bad bounds"); - } else { - // Must be at least one valid leaf followed by a sequence end markers - // (-1). - bool start = true; - for (int l = 0; l < bucket; ++l) { - if (!( (start ? - ((l == 0 ? 0 : -1) <= leaves[l] && leaves[l] < numpoints) : - leaves[l] == -1) )) - throw GeographicLib::GeographicErr("Bad leaf data"); - start = leaves[l] >= 0; - } - for (int l = bucket; l < maxbucket; ++l) { - if (leaves[l] != 0) - throw GeographicLib::GeographicErr("Bad leaf data"); - } - } - } - -#if defined(GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION) && \ - GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION - friend class boost::serialization::access; - template - void save(Archive& ar, const unsigned int) const { - ar & boost::serialization::make_nvp("index", index); - if (index < 0) - ar & boost::serialization::make_nvp("leaves", leaves); - else - ar & boost::serialization::make_nvp("lower", data.lower) - & boost::serialization::make_nvp("upper", data.upper) - & boost::serialization::make_nvp("child", data.child); - } - template - void load(Archive& ar, const unsigned int) { - ar & boost::serialization::make_nvp("index", index); - if (index < 0) - ar & boost::serialization::make_nvp("leaves", leaves); - else - ar & boost::serialization::make_nvp("lower", data.lower) - & boost::serialization::make_nvp("upper", data.upper) - & boost::serialization::make_nvp("child", data.child); - } - template - void serialize(Archive& ar, const unsigned int file_version) - { boost::serialization::split_member(ar, *this, file_version); } -#endif - }; - // \endcond -#if defined(GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION) && \ - GEOGRAPHICLIB_HAVE_BOOST_SERIALIZATION - friend class boost::serialization::access; - template void save(Archive& ar, const unsigned) const { - int realspec = std::numeric_limits::digits * - (std::numeric_limits::is_integer ? -1 : 1); - // Need to use version1, otherwise load error in debug mode on Linux: - // undefined reference to GeographicLib::NearestNeighbor<...>::version. - int version1 = version; - ar & boost::serialization::make_nvp("version", version1) - & boost::serialization::make_nvp("realspec", realspec) - & boost::serialization::make_nvp("bucket", _bucket) - & boost::serialization::make_nvp("numpoints", _numpoints) - & boost::serialization::make_nvp("cost", _cost) - & boost::serialization::make_nvp("tree", _tree); - } - template void load(Archive& ar, const unsigned) { - int version1, realspec, bucket, numpoints, cost; - ar & boost::serialization::make_nvp("version", version1); - if (version1 != version) - throw GeographicLib::GeographicErr("Incompatible version"); - std::vector tree; - ar & boost::serialization::make_nvp("realspec", realspec); - if (!( realspec == std::numeric_limits::digits * - (std::numeric_limits::is_integer ? -1 : 1) )) - throw GeographicLib::GeographicErr("Different dist_t types"); - ar & boost::serialization::make_nvp("bucket", bucket); - if (!( 0 <= bucket && bucket <= maxbucket )) - throw GeographicLib::GeographicErr("Bad bucket size"); - ar & boost::serialization::make_nvp("numpoints", numpoints) - & boost::serialization::make_nvp("cost", cost) - & boost::serialization::make_nvp("tree", tree); - if (!( 0 <= int(tree.size()) && int(tree.size()) <= numpoints )) - throw - GeographicLib::GeographicErr("Bad number of points or tree size"); - for (int i = 0; i < int(tree.size()); ++i) - tree[i].Check(numpoints, int(tree.size()), bucket); - _tree.swap(tree); - _numpoints = numpoints; - _bucket = bucket; - _mc = _sc = 0; - _cost = cost; _c1 = _k = _cmax = 0; - _cmin = std::numeric_limits::max(); - } - template - void serialize(Archive& ar, const unsigned int file_version) - { boost::serialization::split_member(ar, *this, file_version); } -#endif - - int _numpoints, _bucket, _cost; - std::vector _tree; - // Counters to track stastistics on the cost of searches - mutable double _mc, _sc; - mutable int _c1, _k, _cmin, _cmax; - - int init(const std::vector& pts, const distfun_t& dist, int bucket, - std::vector& tree, std::vector& ids, int& cost, - int l, int u, int vp) { - - if (u == l) - return -1; - Node node; - - if (u - l > (bucket == 0 ? 1 : bucket)) { - - // choose a vantage point and move it to the start - int i = vp; - std::swap(ids[l], ids[i]); - - int m = (u + l + 1) / 2; - - for (int k = l + 1; k < u; ++k) { - ids[k].first = dist(pts[ids[l].second], pts[ids[k].second]); - ++cost; - } - // partition around the median distance - std::nth_element(ids.begin() + l + 1, - ids.begin() + m, - ids.begin() + u); - node.index = ids[l].second; - if (m > l + 1) { // node.child[0] is possibly empty - typename std::vector::iterator - t = std::min_element(ids.begin() + l + 1, ids.begin() + m); - node.data.lower[0] = t->first; - t = std::max_element(ids.begin() + l + 1, ids.begin() + m); - node.data.upper[0] = t->first; - // Use point with max distance as vantage point; this point act as a - // "corner" point and leads to a good partition. - node.data.child[0] = init(pts, dist, bucket, tree, ids, cost, - l + 1, m, int(t - ids.begin())); - } - typename std::vector::iterator - t = std::max_element(ids.begin() + m, ids.begin() + u); - node.data.lower[1] = ids[m].first; - node.data.upper[1] = t->first; - // Use point with max distance as vantage point here too - node.data.child[1] = init(pts, dist, bucket, tree, ids, cost, - m, u, int(t - ids.begin())); - } else { - if (bucket == 0) - node.index = ids[l].second; - else { - node.index = -1; - // Sort the bucket entries so that the tree is independent of the - // implementation of nth_element. - std::sort(ids.begin() + l, ids.begin() + u); - for (int i = l; i < u; ++i) - node.leaves[i-l] = ids[i].second; - for (int i = u - l; i < bucket; ++i) - node.leaves[i] = -1; - for (int i = bucket; i < maxbucket; ++i) - node.leaves[i] = 0; - } - } - - tree.push_back(node); - return int(tree.size()) - 1; - } - - }; - -} // namespace GeographicLib - -namespace std { - - /** - * Swap two GeographicLib::NearestNeighbor objects. - * - * @tparam dist_t the type used for measuring distances. - * @tparam pos_t the type for specifying the positions of points. - * @tparam distfun_t the type for a function object which calculates - * distances between points. - * @param[in,out] a the first GeographicLib::NearestNeighbor to swap. - * @param[in,out] b the second GeographicLib::NearestNeighbor to swap. - **********************************************************************/ - template - void swap(GeographicLib::NearestNeighbor& a, - GeographicLib::NearestNeighbor& b) { - a.swap(b); - } - -} // namespace std - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_NEARESTNEIGHBOR_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/NormalGravity.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/NormalGravity.hpp deleted file mode 100644 index f726e7fde5339d4895f21457d402c16b73bcbc65..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/NormalGravity.hpp +++ /dev/null @@ -1,399 +0,0 @@ -/** - * \file NormalGravity.hpp - * \brief Header for GeographicLib::NormalGravity class - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_NORMALGRAVITY_HPP) -#define GEOGRAPHICLIB_NORMALGRAVITY_HPP 1 - -#include -#include - -namespace GeographicLib { - - /** - * \brief The normal gravity of the earth - * - * "Normal" gravity refers to an idealization of the earth which is modeled - * as an rotating ellipsoid. The eccentricity of the ellipsoid, the rotation - * speed, and the distribution of mass within the ellipsoid are such that the - * ellipsoid is a "level ellipoid", a surface of constant potential - * (gravitational plus centrifugal). The acceleration due to gravity is - * therefore perpendicular to the surface of the ellipsoid. - * - * Because the distribution of mass within the ellipsoid is unspecified, only - * the potential exterior to the ellipsoid is well defined. In this class, - * the mass is assumed to be to concentrated on a "focal disc" of radius, - * (a2 − b2)1/2, where - * \e a is the equatorial radius of the ellipsoid and \e b is its polar - * semi-axis. In the case of an oblate ellipsoid, the mass is concentrated - * on a "focal rod" of length 2(b2 − - * a2)1/2. As a result the potential is well - * defined everywhere. - * - * There is a closed solution to this problem which is implemented here. - * Series "approximations" are only used to evaluate certain combinations of - * elementary functions where use of the closed expression results in a loss - * of accuracy for small arguments due to cancellation of the leading terms. - * However these series include sufficient terms to give full machine - * precision. - * - * Although the formulation used in this class applies to ellipsoids with - * arbitrary flattening, in practice, its use should be limited to about - * b/\e a ∈ [0.01, 100] or \e f ∈ [−99, 0.99]. - * - * Definitions: - * - V0, the gravitational contribution to the normal - * potential; - * - Φ, the rotational contribution to the normal potential; - * - \e U = V0 + Φ, the total potential; - * - Γ = ∇V0, the acceleration due to - * mass of the earth; - * - f = ∇Φ, the centrifugal acceleration; - * - γ = ∇\e U = Γ + f, the normal - * acceleration; - * - \e X, \e Y, \e Z, geocentric coordinates; - * - \e x, \e y, \e z, local cartesian coordinates used to denote the east, - * north and up directions. - * - * References: - * - C. Somigliana, Teoria generale del campo gravitazionale dell'ellissoide - * di rotazione, Mem. Soc. Astron. Ital, 4, 541--599 (1929). - * - W. A. Heiskanen and H. Moritz, Physical Geodesy (Freeman, San - * Francisco, 1967), Secs. 1-19, 2-7, 2-8 (2-9, 2-10), 6-2 (6-3). - * - B. Hofmann-Wellenhof, H. Moritz, Physical Geodesy (Second edition, - * Springer, 2006) https://doi.org/10.1007/978-3-211-33545-1 - * - H. Moritz, Geodetic Reference System 1980, J. Geodesy 54(3), 395-405 - * (1980) https://doi.org/10.1007/BF02521480 - * - * For more information on normal gravity see \ref normalgravity. - * - * Example of use: - * \include example-NormalGravity.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT NormalGravity { - private: - static const int maxit_ = 20; - typedef Math::real real; - friend class GravityModel; - real _a, _GM, _omega, _f, _J2, _omega2, _aomega2; - real _e2, _ep2, _b, _E, _U0, _gammae, _gammap, _Q0, _k, _fstar; - Geocentric _earth; - static real atanzz(real x, bool alt) { - // This routine obeys the identity - // atanzz(x, alt) = atanzz(-x/(1+x), !alt) - // - // Require x >= -1. Best to call with alt, s.t. x >= 0; this results in - // a call to atan, instead of asin, or to asinh, instead of atanh. - using std::sqrt; using std::abs; using std::atan; using std::asin; - real z = sqrt(abs(x)); - return x == 0 ? 1 : - (alt ? - (!(x < 0) ? Math::asinh(z) : asin(z)) / sqrt(abs(x) / (1 + x)) : - (!(x < 0) ? atan(z) : Math::atanh(z)) / z); - } - static real atan7series(real x); - static real atan5series(real x); - static real Qf(real x, bool alt); - static real Hf(real x, bool alt); - static real QH3f(real x, bool alt); - real Jn(int n) const; - void Initialize(real a, real GM, real omega, real f_J2, bool geometricp); - public: - - /** \name Setting up the normal gravity - **********************************************************************/ - ///@{ - /** - * Constructor for the normal gravity. - * - * @param[in] a equatorial radius (meters). - * @param[in] GM mass constant of the ellipsoid - * (meters3/seconds2); this is the product of \e G - * the gravitational constant and \e M the mass of the earth (usually - * including the mass of the earth's atmosphere). - * @param[in] omega the angular velocity (rad s−1). - * @param[in] f_J2 either the flattening of the ellipsoid \e f or the - * the dynamical form factor \e J2. - * @param[out] geometricp if true (the default), then \e f_J2 denotes the - * flattening, else it denotes the dynamical form factor \e J2. - * @exception if \e a is not positive or if the other parameters do not - * obey the restrictions given below. - * - * The shape of the ellipsoid can be given in one of two ways: - * - geometrically (\e geomtricp = true), the ellipsoid is defined by the - * flattening \e f = (\e a − \e b) / \e a, where \e a and \e b are - * the equatorial radius and the polar semi-axis. The parameters should - * obey \e a > 0, \e f < 1. There are no restrictions on \e GM or - * \e omega, in particular, \e GM need not be positive. - * - physically (\e geometricp = false), the ellipsoid is defined by the - * dynamical form factor J2 = (\e C − \e A) / - * Ma2, where \e A and \e C are the equatorial and - * polar moments of inertia and \e M is the mass of the earth. The - * parameters should obey \e a > 0, \e GM > 0 and \e J2 < 1/3 - * − (omega2a3/GM) - * 8/(45π). There is no restriction on \e omega. - **********************************************************************/ - NormalGravity(real a, real GM, real omega, real f_J2, - bool geometricp = true); - - /** - * A default constructor for the normal gravity. This sets up an - * uninitialized object and is used by GravityModel which constructs this - * object before it has read in the parameters for the reference ellipsoid. - **********************************************************************/ - NormalGravity() : _a(-1) {} - ///@} - - /** \name Compute the gravity - **********************************************************************/ - ///@{ - /** - * Evaluate the gravity on the surface of the ellipsoid. - * - * @param[in] lat the geographic latitude (degrees). - * @return γ the acceleration due to gravity, positive downwards - * (m s−2). - * - * Due to the axial symmetry of the ellipsoid, the result is independent of - * the value of the longitude. This acceleration is perpendicular to the - * surface of the ellipsoid. It includes the effects of the earth's - * rotation. - **********************************************************************/ - Math::real SurfaceGravity(real lat) const; - - /** - * Evaluate the gravity at an arbitrary point above (or below) the - * ellipsoid. - * - * @param[in] lat the geographic latitude (degrees). - * @param[in] h the height above the ellipsoid (meters). - * @param[out] gammay the northerly component of the acceleration - * (m s−2). - * @param[out] gammaz the upward component of the acceleration - * (m s−2); this is usually negative. - * @return \e U the corresponding normal potential - * (m2 s−2). - * - * Due to the axial symmetry of the ellipsoid, the result is independent of - * the value of the longitude and the easterly component of the - * acceleration vanishes, \e gammax = 0. The function includes the effects - * of the earth's rotation. When \e h = 0, this function gives \e gammay = - * 0 and the returned value matches that of NormalGravity::SurfaceGravity. - **********************************************************************/ - Math::real Gravity(real lat, real h, real& gammay, real& gammaz) - const; - - /** - * Evaluate the components of the acceleration due to gravity and the - * centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] gammaX the \e X component of the acceleration - * (m s−2). - * @param[out] gammaY the \e Y component of the acceleration - * (m s−2). - * @param[out] gammaZ the \e Z component of the acceleration - * (m s−2). - * @return \e U = V0 + Φ the sum of the - * gravitational and centrifugal potentials - * (m2 s−2). - * - * The acceleration given by γ = ∇\e U = - * ∇V0 + ∇Φ = Γ + f. - **********************************************************************/ - Math::real U(real X, real Y, real Z, - real& gammaX, real& gammaY, real& gammaZ) const; - - /** - * Evaluate the components of the acceleration due to the gravitational - * force in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[in] Z geocentric coordinate of point (meters). - * @param[out] GammaX the \e X component of the acceleration due to the - * gravitational force (m s−2). - * @param[out] GammaY the \e Y component of the acceleration due to the - * @param[out] GammaZ the \e Z component of the acceleration due to the - * gravitational force (m s−2). - * @return V0 the gravitational potential - * (m2 s−2). - * - * This function excludes the centrifugal acceleration and is appropriate - * to use for space applications. In terrestrial applications, the - * function NormalGravity::U (which includes this effect) should usually be - * used. - **********************************************************************/ - Math::real V0(real X, real Y, real Z, - real& GammaX, real& GammaY, real& GammaZ) const; - - /** - * Evaluate the centrifugal acceleration in geocentric coordinates. - * - * @param[in] X geocentric coordinate of point (meters). - * @param[in] Y geocentric coordinate of point (meters). - * @param[out] fX the \e X component of the centrifugal acceleration - * (m s−2). - * @param[out] fY the \e Y component of the centrifugal acceleration - * (m s−2). - * @return Φ the centrifugal potential (m2 - * s−2). - * - * Φ is independent of \e Z, thus \e fZ = 0. This function - * NormalGravity::U sums the results of NormalGravity::V0 and - * NormalGravity::Phi. - **********************************************************************/ - Math::real Phi(real X, real Y, real& fX, real& fY) const; - ///@} - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return true if the object has been initialized. - **********************************************************************/ - bool Init() const { return _a > 0; } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const - { return Init() ? _a : Math::NaN(); } - - /** - * @return \e GM the mass constant of the ellipsoid - * (m3 s−2). This is the value used in the - * constructor. - **********************************************************************/ - Math::real MassConstant() const - { return Init() ? _GM : Math::NaN(); } - - /** - * @return Jn the dynamical form factors of the - * ellipsoid. - * - * If \e n = 2 (the default), this is the value of J2 - * used in the constructor. Otherwise it is the zonal coefficient of the - * Legendre harmonic sum of the normal gravitational potential. Note that - * Jn = 0 if \e n is odd. In most gravity - * applications, fully normalized Legendre functions are used and the - * corresponding coefficient is Cn0 = - * −Jn / sqrt(2 \e n + 1). - **********************************************************************/ - Math::real DynamicalFormFactor(int n = 2) const - { return Init() ? ( n == 2 ? _J2 : Jn(n)) : Math::NaN(); } - - /** - * @return ω the angular velocity of the ellipsoid (rad - * s−1). This is the value used in the constructor. - **********************************************************************/ - Math::real AngularVelocity() const - { return Init() ? _omega : Math::NaN(); } - - /** - * @return f the flattening of the ellipsoid (\e a − \e b)/\e - * a. - **********************************************************************/ - Math::real Flattening() const - { return Init() ? _f : Math::NaN(); } - - /** - * @return γe the normal gravity at equator (m - * s−2). - **********************************************************************/ - Math::real EquatorialGravity() const - { return Init() ? _gammae : Math::NaN(); } - - /** - * @return γp the normal gravity at poles (m - * s−2). - **********************************************************************/ - Math::real PolarGravity() const - { return Init() ? _gammap : Math::NaN(); } - - /** - * @return f* the gravity flattening (γp − - * γe) / γe. - **********************************************************************/ - Math::real GravityFlattening() const - { return Init() ? _fstar : Math::NaN(); } - - /** - * @return U0 the constant normal potential for the - * surface of the ellipsoid (m2 s−2). - **********************************************************************/ - Math::real SurfacePotential() const - { return Init() ? _U0 : Math::NaN(); } - - /** - * @return the Geocentric object used by this instance. - **********************************************************************/ - const Geocentric& Earth() const { return _earth; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of NormalGravity for the WGS84 ellipsoid. - **********************************************************************/ - static const NormalGravity& WGS84(); - - /** - * A global instantiation of NormalGravity for the GRS80 ellipsoid. - **********************************************************************/ - static const NormalGravity& GRS80(); - - /** - * Compute the flattening from the dynamical form factor. - * - * @param[in] a equatorial radius (meters). - * @param[in] GM mass constant of the ellipsoid - * (meters3/seconds2); this is the product of \e G - * the gravitational constant and \e M the mass of the earth (usually - * including the mass of the earth's atmosphere). - * @param[in] omega the angular velocity (rad s−1). - * @param[in] J2 the dynamical form factor. - * @return \e f the flattening of the ellipsoid. - * - * This routine requires \e a > 0, \e GM > 0, \e J2 < 1/3 − - * omega2a3/GM 8/(45π). A - * NaN is returned if these conditions do not hold. The restriction to - * positive \e GM is made because for negative \e GM two solutions are - * possible. - **********************************************************************/ - static Math::real J2ToFlattening(real a, real GM, real omega, real J2); - - /** - * Compute the dynamical form factor from the flattening. - * - * @param[in] a equatorial radius (meters). - * @param[in] GM mass constant of the ellipsoid - * (meters3/seconds2); this is the product of \e G - * the gravitational constant and \e M the mass of the earth (usually - * including the mass of the earth's atmosphere). - * @param[in] omega the angular velocity (rad s−1). - * @param[in] f the flattening of the ellipsoid. - * @return \e J2 the dynamical form factor. - * - * This routine requires \e a > 0, \e GM ≠ 0, \e f < 1. The - * values of these parameters are not checked. - **********************************************************************/ - static Math::real FlatteningToJ2(real a, real GM, real omega, real f); - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_NORMALGRAVITY_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/OSGB.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/OSGB.hpp deleted file mode 100644 index c55ab43927eceac8bf555d38c70ee95449ff360a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/OSGB.hpp +++ /dev/null @@ -1,255 +0,0 @@ -/** - * \file OSGB.hpp - * \brief Header for GeographicLib::OSGB class - * - * Copyright (c) Charles Karney (2010-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_OSGB_HPP) -#define GEOGRAPHICLIB_OSGB_HPP 1 - -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs string -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - /** - * \brief Ordnance Survey grid system for Great Britain - * - * The class implements the coordinate system used by the Ordnance Survey for - * maps of Great Britain and conversions to the grid reference system. - * - * See - * - - * A guide to coordinate systems in Great Britain - * - - * Guide to the National Grid - * - * \warning the latitudes and longitudes for the Ordnance Survey grid - * system do not use the WGS84 datum. Do not use the values returned by this - * class in the UTMUPS, MGRS, or Geoid classes without first converting the - * datum (and vice versa). - * - * Example of use: - * \include example-OSGB.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT OSGB { - private: - typedef Math::real real; - static const char* const letters_; - static const char* const digits_; - static const TransverseMercator& OSGBTM(); - enum { - base_ = 10, - tile_ = 100000, - tilelevel_ = 5, - tilegrid_ = 5, - tileoffx_ = 2 * tilegrid_, - tileoffy_ = 1 * tilegrid_, - minx_ = - tileoffx_ * tile_, - miny_ = - tileoffy_ * tile_, - maxx_ = (tilegrid_*tilegrid_ - tileoffx_) * tile_, - maxy_ = (tilegrid_*tilegrid_ - tileoffy_) * tile_, - // Maximum precision is um - maxprec_ = 5 + 6, - }; - static real computenorthoffset(); - static void CheckCoords(real x, real y); - OSGB(); // Disable constructor - public: - - /** - * Forward projection, from geographic to OSGB coordinates. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - static void Forward(real lat, real lon, - real& x, real& y, real& gamma, real& k) { - OSGBTM().Forward(OriginLongitude(), lat, lon, x, y, gamma, k); - x += FalseEasting(); - y += computenorthoffset(); - } - - /** - * Reverse projection, from OSGB coordinates to geographic. - * - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * The value of \e lon returned is in the range [−180°, - * 180°]. - **********************************************************************/ - - static void Reverse(real x, real y, - real& lat, real& lon, real& gamma, real& k) { - x -= FalseEasting(); - y -= computenorthoffset(); - OSGBTM().Reverse(OriginLongitude(), x, y, lat, lon, gamma, k); - } - - /** - * OSGB::Forward without returning the convergence and scale. - **********************************************************************/ - static void Forward(real lat, real lon, real& x, real& y) { - real gamma, k; - Forward(lat, lon, x, y, gamma, k); - } - - /** - * OSGB::Reverse without returning the convergence and scale. - **********************************************************************/ - static void Reverse(real x, real y, real& lat, real& lon) { - real gamma, k; - Reverse(x, y, lat, lon, gamma, k); - } - - /** - * Convert OSGB coordinates to a grid reference. - * - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[in] prec precision relative to 100 km. - * @param[out] gridref National Grid reference. - * @exception GeographicErr if \e prec, \e x, or \e y is outside its - * allowed range. - * @exception std::bad_alloc if the memory for \e gridref can't be - * allocatied. - * - * \e prec specifies the precision of the grid reference string as follows: - * - prec = 0 (min), 100km - * - prec = 1, 10km - * - prec = 2, 1km - * - prec = 3, 100m - * - prec = 4, 10m - * - prec = 5, 1m - * - prec = 6, 0.1m - * - prec = 11 (max), 1μm - * - * The easting must be in the range [−1000 km, 1500 km) and the - * northing must be in the range [−500 km, 2000 km). These bounds - * are consistent with rules for the letter designations for the grid - * system. - * - * If \e x or \e y is NaN, the returned grid reference is "INVALID". - **********************************************************************/ - static void GridReference(real x, real y, int prec, std::string& gridref); - - /** - * Convert OSGB coordinates to a grid reference. - * - * @param[in] gridref National Grid reference. - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] prec precision relative to 100 km. - * @param[in] centerp if true (default), return center of the grid square, - * else return SW (lower left) corner. - * @exception GeographicErr if \e gridref is illegal. - * - * The grid reference must be of the form: two letters (not including I) - * followed by an even number of digits (up to 22). - * - * If the first 2 characters of \e gridref are "IN", then \e x and \e y are - * set to NaN and \e prec is set to −2. - **********************************************************************/ - static void GridReference(const std::string& gridref, - real& x, real& y, int& prec, - bool centerp = true); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the Airy 1830 ellipsoid (meters). - * - * This is 20923713 ft converted to meters using the rule 1 ft = - * 109.48401603−10 m. The Airy 1830 value is returned - * because the OSGB projection is based on this ellipsoid. The conversion - * factor from feet to meters is the one used for the 1936 retriangulation - * of Britain; see Section A.1 (p. 37) of A guide to coordinate systems - * in Great Britain, v2.2 (Dec. 2013). - **********************************************************************/ - static Math::real EquatorialRadius() { - // result is about 6377563.3960320664406 m - using std::pow; - return pow(real(10), real(48401603 - 100000000) / 100000000) - * real(20923713); - } - - /** - * @return \e f the inverse flattening of the Airy 1830 ellipsoid. - * - * For the Airy 1830 ellipsoid, \e a = 20923713 ft and \e b = 20853810 ft; - * thus the flattening = (20923713 − 20853810)/20923713 = - * 7767/2324857 = 1/299.32496459... (The Airy 1830 value is returned - * because the OSGB projection is based on this ellipsoid.) - **********************************************************************/ - static Math::real Flattening() - { return real(20923713 - 20853810) / real(20923713); } - - /** - * @return \e k0 central scale for the OSGB projection (0.9996012717...). - * - * C. J. Mugnier, Grids & Datums, PE&RS, Oct. 2003, states that - * this is defined as 109.9998268−10. - **********************************************************************/ - static Math::real CentralScale() { - using std::pow; - return pow(real(10), real(9998268 - 10000000) / 10000000); - } - - /** - * @return latitude of the origin for the OSGB projection (49 degrees). - **********************************************************************/ - static Math::real OriginLatitude() { return real(49); } - - /** - * @return longitude of the origin for the OSGB projection (−2 - * degrees). - **********************************************************************/ - static Math::real OriginLongitude() { return real(-2); } - - /** - * @return false northing the OSGB projection (−100000 meters). - **********************************************************************/ - static Math::real FalseNorthing() { return real(-100000); } - - /** - * @return false easting the OSGB projection (400000 meters). - **********************************************************************/ - static Math::real FalseEasting() { return real(400000); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - static Math::real MajorRadius() { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_OSGB_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/PolarStereographic.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/PolarStereographic.hpp deleted file mode 100644 index aa2caed39aedd4c87f52d5a20b4a11d910c2bb8a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/PolarStereographic.hpp +++ /dev/null @@ -1,160 +0,0 @@ -/** - * \file PolarStereographic.hpp - * \brief Header for GeographicLib::PolarStereographic class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_POLARSTEREOGRAPHIC_HPP) -#define GEOGRAPHICLIB_POLARSTEREOGRAPHIC_HPP 1 - -#include - -namespace GeographicLib { - - /** - * \brief Polar stereographic projection - * - * Implementation taken from the report, - * - J. P. Snyder, - * Map Projections: A - * Working Manual, USGS Professional Paper 1395 (1987), - * pp. 160--163. - * - * This is a straightforward implementation of the equations in Snyder except - * that Newton's method is used to invert the projection. - * - * This class also returns the meridian convergence \e gamma and scale \e k. - * The meridian convergence is the bearing of grid north (the \e y axis) - * measured clockwise from true north. - * - * Example of use: - * \include example-PolarStereographic.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT PolarStereographic { - private: - typedef Math::real real; - real _a, _f, _e2, _es, _e2m, _c; - real _k0; - public: - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] k0 central scale factor. - * @exception GeographicErr if \e a, (1 − \e f) \e a, or \e k0 is - * not positive. - **********************************************************************/ - PolarStereographic(real a, real f, real k0); - - /** - * Set the scale for the projection. - * - * @param[in] lat (degrees) assuming \e northp = true. - * @param[in] k scale at latitude \e lat (default 1). - * @exception GeographicErr \e k is not positive. - * @exception GeographicErr if \e lat is not in (−90°, - * 90°]. - **********************************************************************/ - void SetScale(real lat, real k = real(1)); - - /** - * Forward projection, from geographic to polar stereographic. - * - * @param[in] northp the pole which is the center of projection (true means - * north, false means south). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. \e lat should be in the range - * (−90°, 90°] for \e northp = true and in the range - * [−90°, 90°) for \e northp = false. - **********************************************************************/ - void Forward(bool northp, real lat, real lon, - real& x, real& y, real& gamma, real& k) const; - - /** - * Reverse projection, from polar stereographic to geographic. - * - * @param[in] northp the pole which is the center of projection (true means - * north, false means south). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. The value of \e lon returned is - * in the range [−180°, 180°]. - **********************************************************************/ - void Reverse(bool northp, real x, real y, - real& lat, real& lon, real& gamma, real& k) const; - - /** - * PolarStereographic::Forward without returning the convergence and scale. - **********************************************************************/ - void Forward(bool northp, real lat, real lon, - real& x, real& y) const { - real gamma, k; - Forward(northp, lat, lon, x, y, gamma, k); - } - - /** - * PolarStereographic::Reverse without returning the convergence and scale. - **********************************************************************/ - void Reverse(bool northp, real x, real y, - real& lat, real& lon) const { - real gamma, k; - Reverse(northp, x, y, lat, lon, gamma, k); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _a; } - - /** - * @return \e f the flattening of the ellipsoid. This is the value used in - * the constructor. - **********************************************************************/ - Math::real Flattening() const { return _f; } - - /** - * The central scale for the projection. This is the value of \e k0 used - * in the constructor and is the scale at the pole unless overridden by - * PolarStereographic::SetScale. - **********************************************************************/ - Math::real CentralScale() const { return _k0; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of PolarStereographic with the WGS84 ellipsoid - * and the UPS scale factor. However, unlike UPS, no false easting or - * northing is added. - **********************************************************************/ - static const PolarStereographic& UPS(); - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_POLARSTEREOGRAPHIC_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/PolygonArea.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/PolygonArea.hpp deleted file mode 100644 index ffcc75edf7a3c34e188c7950f98624a3506d0410..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/PolygonArea.hpp +++ /dev/null @@ -1,293 +0,0 @@ -/** - * \file PolygonArea.hpp - * \brief Header for GeographicLib::PolygonAreaT class - * - * Copyright (c) Charles Karney (2010-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_POLYGONAREA_HPP) -#define GEOGRAPHICLIB_POLYGONAREA_HPP 1 - -#include -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief Polygon areas - * - * This computes the area of a polygon whose edges are geodesics using the - * method given in Section 6 of - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * - * geod-addenda.html. - * - * Arbitrarily complex polygons are allowed. In the case self-intersecting - * of polygons the area is accumulated "algebraically", e.g., the areas of - * the 2 loops in a figure-8 polygon will partially cancel. - * - * This class lets you add vertices and edges one at a time to the polygon. - * The sequence must start with a vertex and thereafter vertices and edges - * can be added in any order. Any vertex after the first creates a new edge - * which is the \e shortest geodesic from the previous vertex. In some - * cases there may be two or many such shortest geodesics and the area is - * then not uniquely defined. In this case, either add an intermediate - * vertex or add the edge \e as an edge (by defining its direction and - * length). - * - * The area and perimeter are accumulated at two times the standard floating - * point precision to guard against the loss of accuracy with many-sided - * polygons. At any point you can ask for the perimeter and area so far. - * There's an option to treat the points as defining a polyline instead of a - * polygon; in that case, only the perimeter is computed. - * - * This is a templated class to allow it to be used with Geodesic, - * GeodesicExact, and Rhumb. GeographicLib::PolygonArea, - * GeographicLib::PolygonAreaExact, and GeographicLib::PolygonAreaRhumb are - * typedefs for these cases. - * - * @tparam GeodType the geodesic class to use. - * - * Example of use: - * \include example-PolygonArea.cpp - * - * Planimeter is a command-line utility - * providing access to the functionality of PolygonAreaT. - **********************************************************************/ - - template - class PolygonAreaT { - private: - typedef Math::real real; - GeodType _earth; - real _area0; // Full ellipsoid area - bool _polyline; // Assume polyline (don't close and skip area) - unsigned _mask; - unsigned _num; - int _crossings; - Accumulator<> _areasum, _perimetersum; - real _lat0, _lon0, _lat1, _lon1; - static int transit(real lon1, real lon2) { - // Return 1 or -1 if crossing prime meridian in east or west direction. - // Otherwise return zero. - // Compute lon12 the same way as Geodesic::Inverse. - lon1 = Math::AngNormalize(lon1); - lon2 = Math::AngNormalize(lon2); - real lon12 = Math::AngDiff(lon1, lon2); - // Treat 0 as negative in these tests. This balances +/- 180 being - // treated as positive, i.e., +180. - int cross = - lon1 <= 0 && lon2 > 0 && lon12 > 0 ? 1 : - (lon2 <= 0 && lon1 > 0 && lon12 < 0 ? -1 : 0); - return cross; - } - // an alternate version of transit to deal with longitudes in the direct - // problem. - static int transitdirect(real lon1, real lon2) { - // Compute exactly the parity of - // int(ceil(lon2 / 360)) - int(ceil(lon1 / 360)) - lon1 = Math::remainder(lon1, real(720)); - lon2 = Math::remainder(lon2, real(720)); - return ( (lon2 <= 0 && lon2 > -360 ? 1 : 0) - - (lon1 <= 0 && lon1 > -360 ? 1 : 0) ); - } - void Remainder(Accumulator<>& a) const { a.remainder(_area0); } - void Remainder(real& a) const { a = Math::remainder(a, _area0); } - template - void AreaReduce(T& area, int crossings, bool reverse, bool sign) const; - public: - - /** - * Constructor for PolygonAreaT. - * - * @param[in] earth the Geodesic object to use for geodesic calculations. - * @param[in] polyline if true that treat the points as defining a polyline - * instead of a polygon (default = false). - **********************************************************************/ - PolygonAreaT(const GeodType& earth, bool polyline = false) - : _earth(earth) - , _area0(_earth.EllipsoidArea()) - , _polyline(polyline) - , _mask(GeodType::LATITUDE | GeodType::LONGITUDE | GeodType::DISTANCE | - (_polyline ? GeodType::NONE : - GeodType::AREA | GeodType::LONG_UNROLL)) - { Clear(); } - - /** - * Clear PolygonAreaT, allowing a new polygon to be started. - **********************************************************************/ - void Clear() { - _num = 0; - _crossings = 0; - _areasum = 0; - _perimetersum = 0; - _lat0 = _lon0 = _lat1 = _lon1 = Math::NaN(); - } - - /** - * Add a point to the polygon or polyline. - * - * @param[in] lat the latitude of the point (degrees). - * @param[in] lon the longitude of the point (degrees). - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - void AddPoint(real lat, real lon); - - /** - * Add an edge to the polygon or polyline. - * - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to next point (meters). - * - * This does nothing if no points have been added yet. Use - * PolygonAreaT::CurrentPoint to determine the position of the new vertex. - **********************************************************************/ - void AddEdge(real azi, real s); - - /** - * Return the results so far. - * - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the perimeter of the polygon or length of the - * polyline (meters). - * @param[out] area the area of the polygon (meters2); only set - * if \e polyline is false in the constructor. - * @return the number of points. - * - * More points can be added to the polygon after this call. - **********************************************************************/ - unsigned Compute(bool reverse, bool sign, - real& perimeter, real& area) const; - - /** - * Return the results assuming a tentative final test point is added; - * however, the data for the test point is not saved. This lets you report - * a running result for the perimeter and area as the user moves the mouse - * cursor. Ordinary floating point arithmetic is used to accumulate the - * data for the test point; thus the area and perimeter returned are less - * accurate than if PolygonAreaT::AddPoint and PolygonAreaT::Compute are - * used. - * - * @param[in] lat the latitude of the test point (degrees). - * @param[in] lon the longitude of the test point (degrees). - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the approximate perimeter of the polygon or length - * of the polyline (meters). - * @param[out] area the approximate area of the polygon - * (meters2); only set if polyline is false in the - * constructor. - * @return the number of points. - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - unsigned TestPoint(real lat, real lon, bool reverse, bool sign, - real& perimeter, real& area) const; - - /** - * Return the results assuming a tentative final test point is added via an - * azimuth and distance; however, the data for the test point is not saved. - * This lets you report a running result for the perimeter and area as the - * user moves the mouse cursor. Ordinary floating point arithmetic is used - * to accumulate the data for the test point; thus the area and perimeter - * returned are less accurate than if PolygonAreaT::AddEdge and - * PolygonAreaT::Compute are used. - * - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to final test point (meters). - * @param[in] reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param[in] sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] perimeter the approximate perimeter of the polygon or length - * of the polyline (meters). - * @param[out] area the approximate area of the polygon - * (meters2); only set if polyline is false in the - * constructor. - * @return the number of points. - **********************************************************************/ - unsigned TestEdge(real azi, real s, bool reverse, bool sign, - real& perimeter, real& area) const; - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - - Math::real EquatorialRadius() const { return _earth.EquatorialRadius(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _earth.Flattening(); } - - /** - * Report the previous vertex added to the polygon or polyline. - * - * @param[out] lat the latitude of the point (degrees). - * @param[out] lon the longitude of the point (degrees). - * - * If no points have been added, then NaNs are returned. Otherwise, \e lon - * will be in the range [−180°, 180°]. - **********************************************************************/ - void CurrentPoint(real& lat, real& lon) const - { lat = _lat1; lon = _lon1; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - }; - - /** - * @relates PolygonAreaT - * - * Polygon areas using Geodesic. This should be used if the flattening is - * small. - **********************************************************************/ - typedef PolygonAreaT PolygonArea; - - /** - * @relates PolygonAreaT - * - * Polygon areas using GeodesicExact. (But note that the implementation of - * areas in GeodesicExact uses a high order series and this is only accurate - * for modest flattenings.) - **********************************************************************/ - typedef PolygonAreaT PolygonAreaExact; - - /** - * @relates PolygonAreaT - * - * Polygon areas using Rhumb. - **********************************************************************/ - typedef PolygonAreaT PolygonAreaRhumb; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_POLYGONAREA_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Rhumb.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Rhumb.hpp deleted file mode 100644 index a4285dae96f1e9da22098c50d85e79c1e5bed892..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Rhumb.hpp +++ /dev/null @@ -1,616 +0,0 @@ -/** - * \file Rhumb.hpp - * \brief Header for GeographicLib::Rhumb and GeographicLib::RhumbLine classes - * - * Copyright (c) Charles Karney (2014-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_RHUMB_HPP) -#define GEOGRAPHICLIB_RHUMB_HPP 1 - -#include -#include - -#if !defined(GEOGRAPHICLIB_RHUMBAREA_ORDER) -/** - * The order of the series approximation used in rhumb area calculations. - * GEOGRAPHICLIB_RHUMBAREA_ORDER can be set to any integer in [4, 8]. - **********************************************************************/ -# define GEOGRAPHICLIB_RHUMBAREA_ORDER \ - (GEOGRAPHICLIB_PRECISION == 2 ? 6 : \ - (GEOGRAPHICLIB_PRECISION == 1 ? 4 : 8)) -#endif - -namespace GeographicLib { - - class RhumbLine; - template class PolygonAreaT; - - /** - * \brief Solve of the direct and inverse rhumb problems. - * - * The path of constant azimuth between two points on a ellipsoid at (\e - * lat1, \e lon1) and (\e lat2, \e lon2) is called the rhumb line (also - * called the loxodrome). Its length is \e s12 and its azimuth is \e azi12. - * (The azimuth is the heading measured clockwise from north.) - * - * Given \e lat1, \e lon1, \e azi12, and \e s12, we can determine \e lat2, - * and \e lon2. This is the \e direct rhumb problem and its solution is - * given by the function Rhumb::Direct. - * - * Given \e lat1, \e lon1, \e lat2, and \e lon2, we can determine \e azi12 - * and \e s12. This is the \e inverse rhumb problem, whose solution is given - * by Rhumb::Inverse. This finds the shortest such rhumb line, i.e., the one - * that wraps no more than half way around the earth. If the end points are - * on opposite meridians, there are two shortest rhumb lines and the - * east-going one is chosen. - * - * These routines also optionally calculate the area under the rhumb line, \e - * S12. This is the area, measured counter-clockwise, of the rhumb line - * quadrilateral with corners (lat1,lon1), (0,lon1), - * (0,lon2), and (lat2,lon2). - * - * Note that rhumb lines may be appreciably longer (up to 50%) than the - * corresponding Geodesic. For example the distance between London Heathrow - * and Tokyo Narita via the rhumb line is 11400 km which is 18% longer than - * the geodesic distance 9600 km. - * - * For more information on rhumb lines see \ref rhumb. - * - * Example of use: - * \include example-Rhumb.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT Rhumb { - private: - typedef Math::real real; - friend class RhumbLine; - template friend class PolygonAreaT; - Ellipsoid _ell; - bool _exact; - real _c2; - static const int tm_maxord = GEOGRAPHICLIB_TRANSVERSEMERCATOR_ORDER; - static const int maxpow_ = GEOGRAPHICLIB_RHUMBAREA_ORDER; - // _R[0] unused - real _R[maxpow_ + 1]; - static real gd(real x) - { using std::atan; using std::sinh; return atan(sinh(x)); } - - // Use divided differences to determine (mu2 - mu1) / (psi2 - psi1) - // accurately - // - // Definition: Df(x,y,d) = (f(x) - f(y)) / (x - y) - // See: - // W. M. Kahan and R. J. Fateman, - // Symbolic computation of divided differences, - // SIGSAM Bull. 33(3), 7-28 (1999) - // https://doi.org/10.1145/334714.334716 - // http://www.cs.berkeley.edu/~fateman/papers/divdiff.pdf - - static real Dlog(real x, real y) { - using std::sqrt; - real t = x - y; - // Change - // - // atanh(t / (x + y)) - // - // to - // - // asinh(t / (2 * sqrt(x*y))) - // - // to avoid taking atanh(1) when x is large and y is 1. N.B., this - // routine is invoked with positive x and y, so no need to guard against - // taking the sqrt of a negative quantity. This fixes bogus results for - // the area being returning when an endpoint is at a pole. - return t != 0 ? 2 * Math::asinh(t / (2 * sqrt(x*y))) / t : 1 / x; - } - // N.B., x and y are in degrees - static real Dtan(real x, real y) { - real d = x - y, tx = Math::tand(x), ty = Math::tand(y), txy = tx * ty; - return d != 0 ? - (2 * txy > -1 ? (1 + txy) * Math::tand(d) : tx - ty) / - (d * Math::degree()) : - 1 + txy; - } - static real Datan(real x, real y) { - using std::atan; - real d = x - y, xy = x * y; - return d != 0 ? - (2 * xy > -1 ? atan( d / (1 + xy) ) : atan(x) - atan(y)) / d : - 1 / (1 + xy); - } - static real Dsin(real x, real y) { - using std::sin; using std::cos; - real d = (x - y) / 2; - return cos((x + y)/2) * (d != 0 ? sin(d) / d : 1); - } - static real Dsinh(real x, real y) { - using std::sinh; using std::cosh; - real d = (x - y) / 2; - return cosh((x + y) / 2) * (d != 0 ? sinh(d) / d : 1); - } - static real Dcosh(real x, real y) { - using std::sinh; - real d = (x - y) / 2; - return sinh((x + y) / 2) * (d != 0 ? sinh(d) / d : 1); - } - static real Dasinh(real x, real y) { - real d = x - y, - hx = Math::hypot(real(1), x), hy = Math::hypot(real(1), y); - return d != 0 ? - Math::asinh(x*y > 0 ? d * (x + y) / (x*hy + y*hx) : x*hy - y*hx) / d : - 1 / hx; - } - static real Dgd(real x, real y) { - using std::sinh; - return Datan(sinh(x), sinh(y)) * Dsinh(x, y); - } - // N.B., x and y are the tangents of the angles - static real Dgdinv(real x, real y) - { return Dasinh(x, y) / Datan(x, y); } - // Copied from LambertConformalConic... - // Deatanhe(x,y) = eatanhe((x-y)/(1-e^2*x*y))/(x-y) - real Deatanhe(real x, real y) const { - real t = x - y, d = 1 - _ell._e2 * x * y; - return t != 0 ? Math::eatanhe(t / d, _ell._es) / t : _ell._e2 / d; - } - // (E(x) - E(y)) / (x - y) -- E = incomplete elliptic integral of 2nd kind - real DE(real x, real y) const; - // (mux - muy) / (phix - phiy) using elliptic integrals - real DRectifying(real latx, real laty) const; - // (psix - psiy) / (phix - phiy) - real DIsometric(real latx, real laty) const; - - // (sum(c[j]*sin(2*j*x),j=1..n) - sum(c[j]*sin(2*j*x),j=1..n)) / (x - y) - static real SinCosSeries(bool sinp, - real x, real y, const real c[], int n); - // (mux - muy) / (chix - chiy) using Krueger's series - real DConformalToRectifying(real chix, real chiy) const; - // (chix - chiy) / (mux - muy) using Krueger's series - real DRectifyingToConformal(real mux, real muy) const; - - // (mux - muy) / (psix - psiy) - // N.B., psix and psiy are in degrees - real DIsometricToRectifying(real psix, real psiy) const; - // (psix - psiy) / (mux - muy) - real DRectifyingToIsometric(real mux, real muy) const; - - real MeanSinXi(real psi1, real psi2) const; - - // The following two functions (with lots of ignored arguments) mimic the - // interface to the corresponding Geodesic function. These are needed by - // PolygonAreaT. - void GenDirect(real lat1, real lon1, real azi12, - bool, real s12, unsigned outmask, - real& lat2, real& lon2, real&, real&, real&, real&, real&, - real& S12) const { - GenDirect(lat1, lon1, azi12, s12, outmask, lat2, lon2, S12); - } - void GenInverse(real lat1, real lon1, real lat2, real lon2, - unsigned outmask, real& s12, real& azi12, - real&, real& , real& , real& , real& S12) const { - GenInverse(lat1, lon1, lat2, lon2, outmask, s12, azi12, S12); - } - public: - - /** - * Bit masks for what calculations to do. They specify which results to - * return in the general routines Rhumb::GenDirect and Rhumb::GenInverse - * routines. RhumbLine::mask is a duplication of this enum. - **********************************************************************/ - enum mask { - /** - * No output. - * @hideinitializer - **********************************************************************/ - NONE = 0U, - /** - * Calculate latitude \e lat2. - * @hideinitializer - **********************************************************************/ - LATITUDE = 1U<<7, - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = 1U<<8, - /** - * Calculate azimuth \e azi12. - * @hideinitializer - **********************************************************************/ - AZIMUTH = 1U<<9, - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = 1U<<10, - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = 1U<<14, - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = 1U<<15, - /** - * Calculate everything. (LONG_UNROLL is not included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = 0x7F80U, - }; - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] exact if true (the default) use an addition theorem for - * elliptic integrals to compute divided differences; otherwise use - * series expansion (accurate for |f| < 0.01). - * @exception GeographicErr if \e a or (1 − \e f) \e a is not - * positive. - * - * See \ref rhumb, for a detailed description of the \e exact parameter. - **********************************************************************/ - Rhumb(real a, real f, bool exact = true); - - /** - * Solve the direct rhumb problem returning also the area. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi12 azimuth of the rhumb line (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * \e lat1 should be in the range [−90°, 90°]. The value of - * \e lon2 returned is in the range [−180°, 180°]. - * - * If point 1 is a pole, the cosine of its latitude is taken to be - * 1/ε2 (where ε is 2-52). This - * position, which is extremely close to the actual pole, allows the - * calculation to be carried out in finite terms. If \e s12 is large - * enough that the rhumb line crosses a pole, the longitude of point 2 - * is indeterminate (a NaN is returned for \e lon2 and \e S12). - **********************************************************************/ - void Direct(real lat1, real lon1, real azi12, real s12, - real& lat2, real& lon2, real& S12) const { - GenDirect(lat1, lon1, azi12, s12, - LATITUDE | LONGITUDE | AREA, lat2, lon2, S12); - } - - /** - * Solve the direct rhumb problem without the area. - **********************************************************************/ - void Direct(real lat1, real lon1, real azi12, real s12, - real& lat2, real& lon2) const { - real t; - GenDirect(lat1, lon1, azi12, s12, LATITUDE | LONGITUDE, lat2, lon2, t); - } - - /** - * The general direct rhumb problem. Rhumb::Direct is defined in terms - * of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi12 azimuth of the rhumb line (degrees). - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[in] outmask a bitor'ed combination of Rhumb::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The Rhumb::mask values possible for \e outmask are - * - \e outmask |= Rhumb::LATITUDE for the latitude \e lat2; - * - \e outmask |= Rhumb::LONGITUDE for the latitude \e lon2; - * - \e outmask |= Rhumb::AREA for the area \e S12; - * - \e outmask |= Rhumb::ALL for all of the above; - * - \e outmask |= Rhumb::LONG_UNROLL to unroll \e lon2 instead of wrapping - * it into the range [−180°, 180°]. - * . - * With the Rhumb::LONG_UNROLL bit set, the quantity \e lon2 − - * \e lon1 indicates how many times and in what sense the rhumb line - * encircles the ellipsoid. - **********************************************************************/ - void GenDirect(real lat1, real lon1, real azi12, real s12, - unsigned outmask, real& lat2, real& lon2, real& S12) const; - - /** - * Solve the inverse rhumb problem returning also the area. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] s12 rhumb distance between point 1 and point 2 (meters). - * @param[out] azi12 azimuth of the rhumb line (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The shortest rhumb line is found. If the end points are on opposite - * meridians, there are two shortest rhumb lines and the east-going one is - * chosen. \e lat1 and \e lat2 should be in the range [−90°, - * 90°]. The value of \e azi12 returned is in the range - * [−180°, 180°]. - * - * If either point is a pole, the cosine of its latitude is taken to be - * 1/ε2 (where ε is 2-52). This - * position, which is extremely close to the actual pole, allows the - * calculation to be carried out in finite terms. - **********************************************************************/ - void Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi12, real& S12) const { - GenInverse(lat1, lon1, lat2, lon2, - DISTANCE | AZIMUTH | AREA, s12, azi12, S12); - } - - /** - * Solve the inverse rhumb problem without the area. - **********************************************************************/ - void Inverse(real lat1, real lon1, real lat2, real lon2, - real& s12, real& azi12) const { - real t; - GenInverse(lat1, lon1, lat2, lon2, DISTANCE | AZIMUTH, s12, azi12, t); - } - - /** - * The general inverse rhumb problem. Rhumb::Inverse is defined in terms - * of this function. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] outmask a bitor'ed combination of Rhumb::mask values - * specifying which of the following parameters should be set. - * @param[out] s12 rhumb distance between point 1 and point 2 (meters). - * @param[out] azi12 azimuth of the rhumb line (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The Rhumb::mask values possible for \e outmask are - * - \e outmask |= Rhumb::DISTANCE for the latitude \e s12; - * - \e outmask |= Rhumb::AZIMUTH for the latitude \e azi12; - * - \e outmask |= Rhumb::AREA for the area \e S12; - * - \e outmask |= Rhumb::ALL for all of the above; - **********************************************************************/ - void GenInverse(real lat1, real lon1, real lat2, real lon2, - unsigned outmask, - real& s12, real& azi12, real& S12) const; - - /** - * Set up to compute several points on a single rhumb line. - * - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi12 azimuth of the rhumb line (degrees). - * @return a RhumbLine object. - * - * \e lat1 should be in the range [−90°, 90°]. - * - * If point 1 is a pole, the cosine of its latitude is taken to be - * 1/ε2 (where ε is 2-52). This - * position, which is extremely close to the actual pole, allows the - * calculation to be carried out in finite terms. - **********************************************************************/ - RhumbLine Line(real lat1, real lon1, real azi12) const; - - /** \name Inspector functions. - **********************************************************************/ - ///@{ - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _ell.EquatorialRadius(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _ell.Flattening(); } - - /** - * @return total area of ellipsoid in meters2. The area of a - * polygon encircling a pole can be found by adding - * Geodesic::EllipsoidArea()/2 to the sum of \e S12 for each side of the - * polygon. - **********************************************************************/ - Math::real EllipsoidArea() const { return _ell.Area(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of Rhumb with the parameters for the WGS84 - * ellipsoid. - **********************************************************************/ - static const Rhumb& WGS84(); - }; - - /** - * \brief Find a sequence of points on a single rhumb line. - * - * RhumbLine facilitates the determination of a series of points on a single - * rhumb line. The starting point (\e lat1, \e lon1) and the azimuth \e - * azi12 are specified in the call to Rhumb::Line which returns a RhumbLine - * object. RhumbLine.Position returns the location of point 2 (and, - * optionally, the corresponding area, \e S12) a distance \e s12 along the - * rhumb line. - * - * There is no public constructor for this class. (Use Rhumb::Line to create - * an instance.) The Rhumb object used to create a RhumbLine must stay in - * scope as long as the RhumbLine. - * - * Example of use: - * \include example-RhumbLine.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT RhumbLine { - private: - typedef Math::real real; - friend class Rhumb; - const Rhumb& _rh; - bool _exact; - real _lat1, _lon1, _azi12, _salp, _calp, _mu1, _psi1, _r1; - RhumbLine& operator=(const RhumbLine&); // copy assignment not allowed - RhumbLine(const Rhumb& rh, real lat1, real lon1, real azi12, - bool exact); - public: - - /** - * This is a duplication of Rhumb::mask. - **********************************************************************/ - enum mask { - /** - * No output. - * @hideinitializer - **********************************************************************/ - NONE = Rhumb::NONE, - /** - * Calculate latitude \e lat2. - * @hideinitializer - **********************************************************************/ - LATITUDE = Rhumb::LATITUDE, - /** - * Calculate longitude \e lon2. - * @hideinitializer - **********************************************************************/ - LONGITUDE = Rhumb::LONGITUDE, - /** - * Calculate azimuth \e azi12. - * @hideinitializer - **********************************************************************/ - AZIMUTH = Rhumb::AZIMUTH, - /** - * Calculate distance \e s12. - * @hideinitializer - **********************************************************************/ - DISTANCE = Rhumb::DISTANCE, - /** - * Calculate area \e S12. - * @hideinitializer - **********************************************************************/ - AREA = Rhumb::AREA, - /** - * Unroll \e lon2 in the direct calculation. - * @hideinitializer - **********************************************************************/ - LONG_UNROLL = Rhumb::LONG_UNROLL, - /** - * Calculate everything. (LONG_UNROLL is not included in this mask.) - * @hideinitializer - **********************************************************************/ - ALL = Rhumb::ALL, - }; - - /** - * Compute the position of point 2 which is a distance \e s12 (meters) from - * point 1. The area is also computed. - * - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The value of \e lon2 returned is in the range [−180°, - * 180°]. - * - * If \e s12 is large enough that the rhumb line crosses a pole, the - * longitude of point 2 is indeterminate (a NaN is returned for \e lon2 and - * \e S12). - **********************************************************************/ - void Position(real s12, real& lat2, real& lon2, real& S12) const { - GenPosition(s12, LATITUDE | LONGITUDE | AREA, lat2, lon2, S12); - } - - /** - * Compute the position of point 2 which is a distance \e s12 (meters) from - * point 1. The area is not computed. - **********************************************************************/ - void Position(real s12, real& lat2, real& lon2) const { - real t; - GenPosition(s12, LATITUDE | LONGITUDE, lat2, lon2, t); - } - - /** - * The general position routine. RhumbLine::Position is defined in term so - * this function. - * - * @param[in] s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param[in] outmask a bitor'ed combination of RhumbLine::mask values - * specifying which of the following parameters should be set. - * @param[out] lat2 latitude of point 2 (degrees). - * @param[out] lon2 longitude of point 2 (degrees). - * @param[out] S12 area under the rhumb line (meters2). - * - * The RhumbLine::mask values possible for \e outmask are - * - \e outmask |= RhumbLine::LATITUDE for the latitude \e lat2; - * - \e outmask |= RhumbLine::LONGITUDE for the latitude \e lon2; - * - \e outmask |= RhumbLine::AREA for the area \e S12; - * - \e outmask |= RhumbLine::ALL for all of the above; - * - \e outmask |= RhumbLine::LONG_UNROLL to unroll \e lon2 instead of - * wrapping it into the range [−180°, 180°]. - * . - * With the RhumbLine::LONG_UNROLL bit set, the quantity \e lon2 − \e - * lon1 indicates how many times and in what sense the rhumb line encircles - * the ellipsoid. - * - * If \e s12 is large enough that the rhumb line crosses a pole, the - * longitude of point 2 is indeterminate (a NaN is returned for \e lon2 and - * \e S12). - **********************************************************************/ - void GenPosition(real s12, unsigned outmask, - real& lat2, real& lon2, real& S12) const; - - /** \name Inspector functions - **********************************************************************/ - ///@{ - - /** - * @return \e lat1 the latitude of point 1 (degrees). - **********************************************************************/ - Math::real Latitude() const { return _lat1; } - - /** - * @return \e lon1 the longitude of point 1 (degrees). - **********************************************************************/ - Math::real Longitude() const { return _lon1; } - - /** - * @return \e azi12 the azimuth of the rhumb line (degrees). - **********************************************************************/ - Math::real Azimuth() const { return _azi12; } - - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Rhumb object used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _rh.EquatorialRadius(); } - - /** - * @return \e f the flattening of the ellipsoid. This is the value - * inherited from the Rhumb object used in the constructor. - **********************************************************************/ - Math::real Flattening() const { return _rh.Flattening(); } - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_RHUMB_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalEngine.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalEngine.hpp deleted file mode 100644 index 7e9b5180f37c115b68dc6cecd62466727bc313a2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalEngine.hpp +++ /dev/null @@ -1,384 +0,0 @@ -/** - * \file SphericalEngine.hpp - * \brief Header for GeographicLib::SphericalEngine class - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_SPHERICALENGINE_HPP) -#define GEOGRAPHICLIB_SPHERICALENGINE_HPP 1 - -#include -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about dll vs vector -# pragma warning (push) -# pragma warning (disable: 4251) -#endif - -namespace GeographicLib { - - class CircularEngine; - - /** - * \brief The evaluation engine for SphericalHarmonic - * - * This serves as the backend to SphericalHarmonic, SphericalHarmonic1, and - * SphericalHarmonic2. Typically end-users will not have to access this - * class directly. - * - * See SphericalEngine.cpp for more information on the implementation. - * - * Example of use: - * \include example-SphericalEngine.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT SphericalEngine { - private: - typedef Math::real real; - // CircularEngine needs access to sqrttable, scale - friend class CircularEngine; - // Return the table of the square roots of integers - static std::vector& sqrttable(); - // An internal scaling of the coefficients to avoid overflow in - // intermediate calculations. - static real scale() { - using std::pow; - static const real - // Need extra real because, since C++11, pow(float, int) returns double - s = real(pow(real(std::numeric_limits::radix), - -3 * (std::numeric_limits::max_exponent < (1<<14) ? - std::numeric_limits::max_exponent : (1<<14)) - / 5)); - return s; - } - // Move latitudes near the pole off the axis by this amount. - static real eps() { - using std::sqrt; - return std::numeric_limits::epsilon() * - sqrt(std::numeric_limits::epsilon()); - } - SphericalEngine(); // Disable constructor - public: - /** - * Supported normalizations for associated Legendre polynomials. - **********************************************************************/ - enum normalization { - /** - * Fully normalized associated Legendre polynomials. See - * SphericalHarmonic::FULL for documentation. - * - * @hideinitializer - **********************************************************************/ - FULL = 0, - /** - * Schmidt semi-normalized associated Legendre polynomials. See - * SphericalHarmonic::SCHMIDT for documentation. - * - * @hideinitializer - **********************************************************************/ - SCHMIDT = 1, - }; - - /** - * \brief Package up coefficients for SphericalEngine - * - * This packages up the \e C, \e S coefficients and information about how - * the coefficients are stored into a single structure. This allows a - * vector of type SphericalEngine::coeff to be passed to - * SphericalEngine::Value. This class also includes functions to aid - * indexing into \e C and \e S. - * - * The storage layout of the coefficients is documented in - * SphericalHarmonic and SphericalHarmonic::SphericalHarmonic. - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT coeff { - private: - int _Nx, _nmx, _mmx; - std::vector::const_iterator _Cnm; - std::vector::const_iterator _Snm; - public: - /** - * A default constructor - **********************************************************************/ - coeff() : _Nx(-1) , _nmx(-1) , _mmx(-1) {} - /** - * The general constructor. - * - * @param[in] C a vector of coefficients for the cosine terms. - * @param[in] S a vector of coefficients for the sine terms. - * @param[in] N the degree giving storage layout for \e C and \e S. - * @param[in] nmx the maximum degree to be used. - * @param[in] mmx the maximum order to be used. - * @exception GeographicErr if \e N, \e nmx, and \e mmx do not satisfy - * \e N ≥ \e nmx ≥ \e mmx ≥ −1. - * @exception GeographicErr if \e C or \e S is not big enough to hold the - * coefficients. - * @exception std::bad_alloc if the memory for the square root table - * can't be allocated. - **********************************************************************/ - coeff(const std::vector& C, - const std::vector& S, - int N, int nmx, int mmx) - : _Nx(N) - , _nmx(nmx) - , _mmx(mmx) - , _Cnm(C.begin()) - , _Snm(S.begin()) - { - if (!((_Nx >= _nmx && _nmx >= _mmx && _mmx >= 0) || - // If mmx = -1 then the sums are empty so require nmx = -1 also. - (_nmx == -1 && _mmx == -1))) - throw GeographicErr("Bad indices for coeff"); - if (!(index(_nmx, _mmx) < int(C.size()) && - index(_nmx, _mmx) < int(S.size()) + (_Nx + 1))) - throw GeographicErr("Arrays too small in coeff"); - SphericalEngine::RootTable(_nmx); - } - /** - * The constructor for full coefficient vectors. - * - * @param[in] C a vector of coefficients for the cosine terms. - * @param[in] S a vector of coefficients for the sine terms. - * @param[in] N the maximum degree and order. - * @exception GeographicErr if \e N does not satisfy \e N ≥ −1. - * @exception GeographicErr if \e C or \e S is not big enough to hold the - * coefficients. - * @exception std::bad_alloc if the memory for the square root table - * can't be allocated. - **********************************************************************/ - coeff(const std::vector& C, - const std::vector& S, - int N) - : _Nx(N) - , _nmx(N) - , _mmx(N) - , _Cnm(C.begin()) - , _Snm(S.begin()) - { - if (!(_Nx >= -1)) - throw GeographicErr("Bad indices for coeff"); - if (!(index(_nmx, _mmx) < int(C.size()) && - index(_nmx, _mmx) < int(S.size()) + (_Nx + 1))) - throw GeographicErr("Arrays too small in coeff"); - SphericalEngine::RootTable(_nmx); - } - /** - * @return \e N the degree giving storage layout for \e C and \e S. - **********************************************************************/ - int N() const { return _Nx; } - /** - * @return \e nmx the maximum degree to be used. - **********************************************************************/ - int nmx() const { return _nmx; } - /** - * @return \e mmx the maximum order to be used. - **********************************************************************/ - int mmx() const { return _mmx; } - /** - * The one-dimensional index into \e C and \e S. - * - * @param[in] n the degree. - * @param[in] m the order. - * @return the one-dimensional index. - **********************************************************************/ - int index(int n, int m) const - { return m * _Nx - m * (m - 1) / 2 + n; } - /** - * An element of \e C. - * - * @param[in] k the one-dimensional index. - * @return the value of the \e C coefficient. - **********************************************************************/ - Math::real Cv(int k) const { return *(_Cnm + k); } - /** - * An element of \e S. - * - * @param[in] k the one-dimensional index. - * @return the value of the \e S coefficient. - **********************************************************************/ - Math::real Sv(int k) const { return *(_Snm + (k - (_Nx + 1))); } - /** - * An element of \e C with checking. - * - * @param[in] k the one-dimensional index. - * @param[in] n the requested degree. - * @param[in] m the requested order. - * @param[in] f a multiplier. - * @return the value of the \e C coefficient multiplied by \e f in \e n - * and \e m are in range else 0. - **********************************************************************/ - Math::real Cv(int k, int n, int m, real f) const - { return m > _mmx || n > _nmx ? 0 : *(_Cnm + k) * f; } - /** - * An element of \e S with checking. - * - * @param[in] k the one-dimensional index. - * @param[in] n the requested degree. - * @param[in] m the requested order. - * @param[in] f a multiplier. - * @return the value of the \e S coefficient multiplied by \e f in \e n - * and \e m are in range else 0. - **********************************************************************/ - Math::real Sv(int k, int n, int m, real f) const - { return m > _mmx || n > _nmx ? 0 : *(_Snm + (k - (_Nx + 1))) * f; } - - /** - * The size of the coefficient vector for the cosine terms. - * - * @param[in] N the maximum degree. - * @param[in] M the maximum order. - * @return the size of the vector of cosine terms as stored in column - * major order. - **********************************************************************/ - static int Csize(int N, int M) - { return (M + 1) * (2 * N - M + 2) / 2; } - - /** - * The size of the coefficient vector for the sine terms. - * - * @param[in] N the maximum degree. - * @param[in] M the maximum order. - * @return the size of the vector of cosine terms as stored in column - * major order. - **********************************************************************/ - static int Ssize(int N, int M) - { return Csize(N, M) - (N + 1); } - - /** - * Load coefficients from a binary stream. - * - * @param[in] stream the input stream. - * @param[in,out] N The maximum degree of the coefficients. - * @param[in,out] M The maximum order of the coefficients. - * @param[out] C The vector of cosine coefficients. - * @param[out] S The vector of sine coefficients. - * @param[in] truncate if false (the default) then \e N and \e M are - * determined by the values in the binary stream; otherwise, the input - * values of \e N and \e M are used to truncate the coefficients read - * from the stream at the given degree and order. - * @exception GeographicErr if \e N and \e M do not satisfy \e N ≥ - * \e M ≥ −1. - * @exception GeographicErr if there's an error reading the data. - * @exception std::bad_alloc if the memory for \e C or \e S can't be - * allocated. - * - * \e N and \e M are read as 4-byte ints. \e C and \e S are resized to - * accommodate all the coefficients (with the \e m = 0 coefficients for - * \e S excluded) and the data for these coefficients read as 8-byte - * doubles. The coefficients are stored in column major order. The - * bytes in the stream should use little-endian ordering. IEEE floating - * point is assumed for the coefficients. - **********************************************************************/ - static void readcoeffs(std::istream& stream, int& N, int& M, - std::vector& C, std::vector& S, - bool truncate = false); - }; - - /** - * Evaluate a spherical harmonic sum and its gradient. - * - * @tparam gradp should the gradient be calculated. - * @tparam norm the normalization for the associated Legendre polynomials. - * @tparam L the number of terms in the coefficients. - * @param[in] c an array of coeff objects. - * @param[in] f array of coefficient multipliers. f[0] should be 1. - * @param[in] x the \e x component of the cartesian position. - * @param[in] y the \e y component of the cartesian position. - * @param[in] z the \e z component of the cartesian position. - * @param[in] a the normalizing radius. - * @param[out] gradx the \e x component of the gradient. - * @param[out] grady the \e y component of the gradient. - * @param[out] gradz the \e z component of the gradient. - * @result the spherical harmonic sum. - * - * See the SphericalHarmonic class for the definition of the sum. The - * coefficients used by this function are, for example, c[0].Cv + f[1] * - * c[1].Cv + ... + f[L−1] * c[L−1].Cv. (Note that f[0] is \e - * not used.) The upper limits on the sum are determined by c[0].nmx() and - * c[0].mmx(); these limits apply to \e all the components of the - * coefficients. The parameters \e gradp, \e norm, and \e L are template - * parameters, to allow more optimization to be done at compile time. - * - * Clenshaw summation is used which permits the evaluation of the sum - * without the need to allocate temporary arrays. Thus this function never - * throws an exception. - **********************************************************************/ - template - static Math::real Value(const coeff c[], const real f[], - real x, real y, real z, real a, - real& gradx, real& grady, real& gradz); - - /** - * Create a CircularEngine object - * - * @tparam gradp should the gradient be calculated. - * @tparam norm the normalization for the associated Legendre polynomials. - * @tparam L the number of terms in the coefficients. - * @param[in] c an array of coeff objects. - * @param[in] f array of coefficient multipliers. f[0] should be 1. - * @param[in] p the radius of the circle = sqrt(x2 + - * y2). - * @param[in] z the height of the circle. - * @param[in] a the normalizing radius. - * @exception std::bad_alloc if the memory for the CircularEngine can't be - * allocated. - * @result the CircularEngine object. - * - * If you need to evaluate the spherical harmonic sum for several points - * with constant \e f, \e p = sqrt(x2 + - * y2), \e z, and \e a, it is more efficient to construct - * call SphericalEngine::Circle to give a CircularEngine object and then - * call CircularEngine::operator()() with arguments x/\e p and - * y/\e p. - **********************************************************************/ - template - static CircularEngine Circle(const coeff c[], const real f[], - real p, real z, real a); - /** - * Check that the static table of square roots is big enough and enlarge it - * if necessary. - * - * @param[in] N the maximum degree to be used in SphericalEngine. - * @exception std::bad_alloc if the memory for the square root table can't - * be allocated. - * - * Typically, there's no need for an end-user to call this routine, because - * the constructors for SphericalEngine::coeff do so. However, since this - * updates a static table, there's a possible race condition in a - * multi-threaded environment. Because this routine does nothing if the - * table is already large enough, one way to avoid race conditions is to - * call this routine at program start up (when it's still single threaded), - * supplying the largest degree that your program will use. E.g., \code - GeographicLib::SphericalEngine::RootTable(2190); - \endcode - * suffices to accommodate extant magnetic and gravity models. - **********************************************************************/ - static void RootTable(int N); - - /** - * Clear the static table of square roots and release the memory. Call - * this only when you are sure you no longer will be using SphericalEngine. - * Your program will crash if you call SphericalEngine after calling this - * routine. - * - * \warning It's safest not to call this routine at all. (The space used - * by the table is modest.) - **********************************************************************/ - static void ClearRootTable() { - std::vector temp(0); - sqrttable().swap(temp); - } - }; - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_SPHERICALENGINE_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic.hpp deleted file mode 100644 index 495e7ccf249a67484f76f29b51b15bbbc1b287df..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic.hpp +++ /dev/null @@ -1,354 +0,0 @@ -/** - * \file SphericalHarmonic.hpp - * \brief Header for GeographicLib::SphericalHarmonic class - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_SPHERICALHARMONIC_HPP) -#define GEOGRAPHICLIB_SPHERICALHARMONIC_HPP 1 - -#include -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief Spherical harmonic series - * - * This class evaluates the spherical harmonic sum \verbatim - V(x, y, z) = sum(n = 0..N)[ q^(n+1) * sum(m = 0..n)[ - (C[n,m] * cos(m*lambda) + S[n,m] * sin(m*lambda)) * - P[n,m](cos(theta)) ] ] - \endverbatim - * where - * - p2 = x2 + y2, - * - r2 = p2 + z2, - * - \e q = a/r, - * - θ = atan2(\e p, \e z) = the spherical \e colatitude, - * - λ = atan2(\e y, \e x) = the longitude. - * - Pnm(\e t) is the associated Legendre polynomial of - * degree \e n and order \e m. - * - * Two normalizations are supported for Pnm - * - fully normalized denoted by SphericalHarmonic::FULL. - * - Schmidt semi-normalized denoted by SphericalHarmonic::SCHMIDT. - * - * Clenshaw summation is used for the sums over both \e n and \e m. This - * allows the computation to be carried out without the need for any - * temporary arrays. See SphericalEngine.cpp for more information on the - * implementation. - * - * References: - * - C. W. Clenshaw, - * - * A note on the summation of Chebyshev series, - * %Math. Tables Aids Comput. 9(51), 118--120 (1955). - * - R. E. Deakin, Derivatives of the earth's potentials, Geomatics - * Research Australasia 68, 31--60, (June 1998). - * - W. A. Heiskanen and H. Moritz, Physical Geodesy, (Freeman, San - * Francisco, 1967). (See Sec. 1-14, for a definition of Pbar.) - * - S. A. Holmes and W. E. Featherstone, - * - * A unified approach to the Clenshaw summation and the recursive - * computation of very high degree and order normalised associated Legendre - * functions, J. Geodesy 76(5), 279--299 (2002). - * - C. C. Tscherning and K. Poder, - * - * Some geodetic applications of Clenshaw summation, - * Boll. Geod. Sci. Aff. 41(4), 349--375 (1982). - * - * Example of use: - * \include example-SphericalHarmonic.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT SphericalHarmonic { - public: - /** - * Supported normalizations for the associated Legendre polynomials. - **********************************************************************/ - enum normalization { - /** - * Fully normalized associated Legendre polynomials. - * - * These are defined by - * Pnmfull(\e z) - * = (−1)m - * sqrt(\e k (2\e n + 1) (\e n − \e m)! / (\e n + \e m)!) - * Pnm(\e z), where - * Pnm(\e z) is Ferrers - * function (also known as the Legendre function on the cut or the - * associated Legendre polynomial) https://dlmf.nist.gov/14.7.E10 and - * \e k = 1 for \e m = 0 and \e k = 2 otherwise. - * - * The mean squared value of - * Pnmfull(cosθ) - * cos(mλ) and - * Pnmfull(cosθ) - * sin(mλ) over the sphere is 1. - * - * @hideinitializer - **********************************************************************/ - FULL = SphericalEngine::FULL, - /** - * Schmidt semi-normalized associated Legendre polynomials. - * - * These are defined by - * Pnmschmidt(\e z) - * = (−1)m - * sqrt(\e k (\e n − \e m)! / (\e n + \e m)!) - * Pnm(\e z), where - * Pnm(\e z) is Ferrers - * function (also known as the Legendre function on the cut or the - * associated Legendre polynomial) https://dlmf.nist.gov/14.7.E10 and - * \e k = 1 for \e m = 0 and \e k = 2 otherwise. - * - * The mean squared value of - * Pnmschmidt(cosθ) - * cos(mλ) and - * Pnmschmidt(cosθ) - * sin(mλ) over the sphere is 1/(2\e n + 1). - * - * @hideinitializer - **********************************************************************/ - SCHMIDT = SphericalEngine::SCHMIDT, - }; - - private: - typedef Math::real real; - SphericalEngine::coeff _c[1]; - real _a; - unsigned _norm; - - public: - /** - * Constructor with a full set of coefficients specified. - * - * @param[in] C the coefficients Cnm. - * @param[in] S the coefficients Snm. - * @param[in] N the maximum degree and order of the sum - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic::FULL (the default) or - * SphericalHarmonic::SCHMIDT. - * @exception GeographicErr if \e N does not satisfy \e N ≥ −1. - * @exception GeographicErr if \e C or \e S is not big enough to hold the - * coefficients. - * - * The coefficients Cnm and - * Snm are stored in the one-dimensional vectors - * \e C and \e S which must contain (\e N + 1)(\e N + 2)/2 and \e N (\e N + - * 1)/2 elements, respectively, stored in "column-major" order. Thus for - * \e N = 3, the order would be: - * C00, - * C10, - * C20, - * C30, - * C11, - * C21, - * C31, - * C22, - * C32, - * C33. - * In general the (\e n,\e m) element is at index \e m \e N − \e m - * (\e m − 1)/2 + \e n. The layout of \e S is the same except that - * the first column is omitted (since the \e m = 0 terms never contribute - * to the sum) and the 0th element is S11 - * - * The class stores pointers to the first elements of \e C and \e S. - * These arrays should not be altered or destroyed during the lifetime of a - * SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic(const std::vector& C, - const std::vector& S, - int N, real a, unsigned norm = FULL) - : _a(a) - , _norm(norm) - { _c[0] = SphericalEngine::coeff(C, S, N); } - - /** - * Constructor with a subset of coefficients specified. - * - * @param[in] C the coefficients Cnm. - * @param[in] S the coefficients Snm. - * @param[in] N the degree used to determine the layout of \e C and \e S. - * @param[in] nmx the maximum degree used in the sum. The sum over \e n is - * from 0 thru \e nmx. - * @param[in] mmx the maximum order used in the sum. The sum over \e m is - * from 0 thru min(\e n, \e mmx). - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic::FULL (the default) or - * SphericalHarmonic::SCHMIDT. - * @exception GeographicErr if \e N, \e nmx, and \e mmx do not satisfy - * \e N ≥ \e nmx ≥ \e mmx ≥ −1. - * @exception GeographicErr if \e C or \e S is not big enough to hold the - * coefficients. - * - * The class stores pointers to the first elements of \e C and \e S. - * These arrays should not be altered or destroyed during the lifetime of a - * SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic(const std::vector& C, - const std::vector& S, - int N, int nmx, int mmx, - real a, unsigned norm = FULL) - : _a(a) - , _norm(norm) - { _c[0] = SphericalEngine::coeff(C, S, N, nmx, mmx); } - - /** - * A default constructor so that the object can be created when the - * constructor for another object is initialized. This default object can - * then be reset with the default copy assignment operator. - **********************************************************************/ - SphericalHarmonic() {} - - /** - * Compute the spherical harmonic sum. - * - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @return \e V the spherical harmonic sum. - * - * This routine requires constant memory and thus never throws an - * exception. - **********************************************************************/ - Math::real operator()(real x, real y, real z) const { - real f[] = {1}; - real v = 0; - real dummy; - switch (_norm) { - case FULL: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, dummy, dummy, dummy); - break; - case SCHMIDT: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, dummy, dummy, dummy); - break; - } - return v; - } - - /** - * Compute a spherical harmonic sum and its gradient. - * - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @param[out] gradx \e x component of the gradient - * @param[out] grady \e y component of the gradient - * @param[out] gradz \e z component of the gradient - * @return \e V the spherical harmonic sum. - * - * This is the same as the previous function, except that the components of - * the gradients of the sum in the \e x, \e y, and \e z directions are - * computed. This routine requires constant memory and thus never throws - * an exception. - **********************************************************************/ - Math::real operator()(real x, real y, real z, - real& gradx, real& grady, real& gradz) const { - real f[] = {1}; - real v = 0; - switch (_norm) { - case FULL: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, gradx, grady, gradz); - break; - case SCHMIDT: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, gradx, grady, gradz); - break; - } - return v; - } - - /** - * Create a CircularEngine to allow the efficient evaluation of several - * points on a circle of latitude. - * - * @param[in] p the radius of the circle. - * @param[in] z the height of the circle above the equatorial plane. - * @param[in] gradp if true the returned object will be able to compute the - * gradient of the sum. - * @exception std::bad_alloc if the memory for the CircularEngine can't be - * allocated. - * @return the CircularEngine object. - * - * SphericalHarmonic::operator()() exchanges the order of the sums in the - * definition, i.e., ∑n = 0..N - * ∑m = 0..n becomes ∑m = - * 0..N ∑n = m..N. - * SphericalHarmonic::Circle performs the inner sum over degree \e n (which - * entails about N2 operations). Calling - * CircularEngine::operator()() on the returned object performs the outer - * sum over the order \e m (about \e N operations). - * - * Here's an example of computing the spherical sum at a sequence of - * longitudes without using a CircularEngine object \code - SphericalHarmonic h(...); // Create the SphericalHarmonic object - double r = 2, lat = 33, lon0 = 44, dlon = 0.01; - double - phi = lat * Math::degree(), - z = r * sin(phi), p = r * cos(phi); - for (int i = 0; i <= 100; ++i) { - real - lon = lon0 + i * dlon, - lam = lon * Math::degree(); - std::cout << lon << " " << h(p * cos(lam), p * sin(lam), z) << "\n"; - } - \endcode - * Here is the same calculation done using a CircularEngine object. This - * will be about N/2 times faster. \code - SphericalHarmonic h(...); // Create the SphericalHarmonic object - double r = 2, lat = 33, lon0 = 44, dlon = 0.01; - double - phi = lat * Math::degree(), - z = r * sin(phi), p = r * cos(phi); - CircularEngine c(h(p, z, false)); // Create the CircularEngine object - for (int i = 0; i <= 100; ++i) { - real - lon = lon0 + i * dlon; - std::cout << lon << " " << c(lon) << "\n"; - } - \endcode - **********************************************************************/ - CircularEngine Circle(real p, real z, bool gradp) const { - real f[] = {1}; - switch (_norm) { - case FULL: - return gradp ? - SphericalEngine::Circle - (_c, f, p, z, _a) : - SphericalEngine::Circle - (_c, f, p, z, _a); - break; - case SCHMIDT: - default: // To avoid compiler warnings - return gradp ? - SphericalEngine::Circle - (_c, f, p, z, _a) : - SphericalEngine::Circle - (_c, f, p, z, _a); - break; - } - } - - /** - * @return the zeroth SphericalEngine::coeff object. - **********************************************************************/ - const SphericalEngine::coeff& Coefficients() const - { return _c[0]; } - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_SPHERICALHARMONIC_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic1.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic1.hpp deleted file mode 100644 index bebf27acb6b5453bbc916002b5334f68d0b45e6f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic1.hpp +++ /dev/null @@ -1,281 +0,0 @@ -/** - * \file SphericalHarmonic1.hpp - * \brief Header for GeographicLib::SphericalHarmonic1 class - * - * Copyright (c) Charles Karney (2011) and licensed under - * the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_SPHERICALHARMONIC1_HPP) -#define GEOGRAPHICLIB_SPHERICALHARMONIC1_HPP 1 - -#include -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief Spherical harmonic series with a correction to the coefficients - * - * This classes is similar to SphericalHarmonic, except that the coefficients - * Cnm are replaced by - * Cnm + \e tau C'nm (and - * similarly for Snm). - * - * Example of use: - * \include example-SphericalHarmonic1.cpp - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT SphericalHarmonic1 { - public: - /** - * Supported normalizations for associate Legendre polynomials. - **********************************************************************/ - enum normalization { - /** - * Fully normalized associated Legendre polynomials. See - * SphericalHarmonic::FULL for documentation. - * - * @hideinitializer - **********************************************************************/ - FULL = SphericalEngine::FULL, - /** - * Schmidt semi-normalized associated Legendre polynomials. See - * SphericalHarmonic::SCHMIDT for documentation. - * - * @hideinitializer - **********************************************************************/ - SCHMIDT = SphericalEngine::SCHMIDT, - }; - - private: - typedef Math::real real; - SphericalEngine::coeff _c[2]; - real _a; - unsigned _norm; - - public: - /** - * Constructor with a full set of coefficients specified. - * - * @param[in] C the coefficients Cnm. - * @param[in] S the coefficients Snm. - * @param[in] N the maximum degree and order of the sum - * @param[in] C1 the coefficients C'nm. - * @param[in] S1 the coefficients S'nm. - * @param[in] N1 the maximum degree and order of the correction - * coefficients C'nm and - * S'nm. - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic1::FULL (the default) or - * SphericalHarmonic1::SCHMIDT. - * @exception GeographicErr if \e N and \e N1 do not satisfy \e N ≥ - * \e N1 ≥ −1. - * @exception GeographicErr if any of the vectors of coefficients is not - * large enough. - * - * See SphericalHarmonic for the way the coefficients should be stored. - * - * The class stores pointers to the first elements of \e C, \e S, \e - * C', and \e S'. These arrays should not be altered or destroyed during - * the lifetime of a SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic1(const std::vector& C, - const std::vector& S, - int N, - const std::vector& C1, - const std::vector& S1, - int N1, - real a, unsigned norm = FULL) - : _a(a) - , _norm(norm) { - if (!(N1 <= N)) - throw GeographicErr("N1 cannot be larger that N"); - _c[0] = SphericalEngine::coeff(C, S, N); - _c[1] = SphericalEngine::coeff(C1, S1, N1); - } - - /** - * Constructor with a subset of coefficients specified. - * - * @param[in] C the coefficients Cnm. - * @param[in] S the coefficients Snm. - * @param[in] N the degree used to determine the layout of \e C and \e S. - * @param[in] nmx the maximum degree used in the sum. The sum over \e n is - * from 0 thru \e nmx. - * @param[in] mmx the maximum order used in the sum. The sum over \e m is - * from 0 thru min(\e n, \e mmx). - * @param[in] C1 the coefficients C'nm. - * @param[in] S1 the coefficients S'nm. - * @param[in] N1 the degree used to determine the layout of \e C' and \e - * S'. - * @param[in] nmx1 the maximum degree used for \e C' and \e S'. - * @param[in] mmx1 the maximum order used for \e C' and \e S'. - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic1::FULL (the default) or - * SphericalHarmonic1::SCHMIDT. - * @exception GeographicErr if the parameters do not satisfy \e N ≥ \e - * nmx ≥ \e mmx ≥ −1; \e N1 ≥ \e nmx1 ≥ \e mmx1 ≥ - * −1; \e N ≥ \e N1; \e nmx ≥ \e nmx1; \e mmx ≥ \e mmx1. - * @exception GeographicErr if any of the vectors of coefficients is not - * large enough. - * - * The class stores pointers to the first elements of \e C, \e S, \e - * C', and \e S'. These arrays should not be altered or destroyed during - * the lifetime of a SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic1(const std::vector& C, - const std::vector& S, - int N, int nmx, int mmx, - const std::vector& C1, - const std::vector& S1, - int N1, int nmx1, int mmx1, - real a, unsigned norm = FULL) - : _a(a) - , _norm(norm) { - if (!(nmx1 <= nmx)) - throw GeographicErr("nmx1 cannot be larger that nmx"); - if (!(mmx1 <= mmx)) - throw GeographicErr("mmx1 cannot be larger that mmx"); - _c[0] = SphericalEngine::coeff(C, S, N, nmx, mmx); - _c[1] = SphericalEngine::coeff(C1, S1, N1, nmx1, mmx1); - } - - /** - * A default constructor so that the object can be created when the - * constructor for another object is initialized. This default object can - * then be reset with the default copy assignment operator. - **********************************************************************/ - SphericalHarmonic1() {} - - /** - * Compute a spherical harmonic sum with a correction term. - * - * @param[in] tau multiplier for correction coefficients \e C' and \e S'. - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @return \e V the spherical harmonic sum. - * - * This routine requires constant memory and thus never throws - * an exception. - **********************************************************************/ - Math::real operator()(real tau, real x, real y, real z) const { - real f[] = {1, tau}; - real v = 0; - real dummy; - switch (_norm) { - case FULL: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, dummy, dummy, dummy); - break; - case SCHMIDT: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, dummy, dummy, dummy); - break; - } - return v; - } - - /** - * Compute a spherical harmonic sum with a correction term and its - * gradient. - * - * @param[in] tau multiplier for correction coefficients \e C' and \e S'. - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @param[out] gradx \e x component of the gradient - * @param[out] grady \e y component of the gradient - * @param[out] gradz \e z component of the gradient - * @return \e V the spherical harmonic sum. - * - * This is the same as the previous function, except that the components of - * the gradients of the sum in the \e x, \e y, and \e z directions are - * computed. This routine requires constant memory and thus never throws - * an exception. - **********************************************************************/ - Math::real operator()(real tau, real x, real y, real z, - real& gradx, real& grady, real& gradz) const { - real f[] = {1, tau}; - real v = 0; - switch (_norm) { - case FULL: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, gradx, grady, gradz); - break; - case SCHMIDT: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, gradx, grady, gradz); - break; - } - return v; - } - - /** - * Create a CircularEngine to allow the efficient evaluation of several - * points on a circle of latitude at a fixed value of \e tau. - * - * @param[in] tau the multiplier for the correction coefficients. - * @param[in] p the radius of the circle. - * @param[in] z the height of the circle above the equatorial plane. - * @param[in] gradp if true the returned object will be able to compute the - * gradient of the sum. - * @exception std::bad_alloc if the memory for the CircularEngine can't be - * allocated. - * @return the CircularEngine object. - * - * SphericalHarmonic1::operator()() exchanges the order of the sums in the - * definition, i.e., ∑n = 0..N - * ∑m = 0..n becomes ∑m = - * 0..N ∑n = m..N. - * SphericalHarmonic1::Circle performs the inner sum over degree \e n - * (which entails about N2 operations). Calling - * CircularEngine::operator()() on the returned object performs the outer - * sum over the order \e m (about \e N operations). - * - * See SphericalHarmonic::Circle for an example of its use. - **********************************************************************/ - CircularEngine Circle(real tau, real p, real z, bool gradp) const { - real f[] = {1, tau}; - switch (_norm) { - case FULL: - return gradp ? - SphericalEngine::Circle - (_c, f, p, z, _a) : - SphericalEngine::Circle - (_c, f, p, z, _a); - break; - case SCHMIDT: - default: // To avoid compiler warnings - return gradp ? - SphericalEngine::Circle - (_c, f, p, z, _a) : - SphericalEngine::Circle - (_c, f, p, z, _a); - break; - } - } - - /** - * @return the zeroth SphericalEngine::coeff object. - **********************************************************************/ - const SphericalEngine::coeff& Coefficients() const - { return _c[0]; } - /** - * @return the first SphericalEngine::coeff object. - **********************************************************************/ - const SphericalEngine::coeff& Coefficients1() const - { return _c[1]; } - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_SPHERICALHARMONIC1_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic2.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic2.hpp deleted file mode 100644 index 787f8305df670d9fbd6c6ea5332d6061cf1cd68a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/SphericalHarmonic2.hpp +++ /dev/null @@ -1,318 +0,0 @@ -/** - * \file SphericalHarmonic2.hpp - * \brief Header for GeographicLib::SphericalHarmonic2 class - * - * Copyright (c) Charles Karney (2011-2012) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_SPHERICALHARMONIC2_HPP) -#define GEOGRAPHICLIB_SPHERICALHARMONIC2_HPP 1 - -#include -#include -#include -#include - -namespace GeographicLib { - - /** - * \brief Spherical harmonic series with two corrections to the coefficients - * - * This classes is similar to SphericalHarmonic, except that the coefficients - * Cnm are replaced by - * Cnm + \e tau' C'nm + \e - * tau'' C''nm (and similarly for - * Snm). - * - * Example of use: - * \include example-SphericalHarmonic2.cpp - **********************************************************************/ - - // Don't include the GEOGRPAHIC_EXPORT because this header-only class isn't - // used by any other classes in the library. - class /*GEOGRAPHICLIB_EXPORT*/ SphericalHarmonic2 { - public: - /** - * Supported normalizations for associate Legendre polynomials. - **********************************************************************/ - enum normalization { - /** - * Fully normalized associated Legendre polynomials. See - * SphericalHarmonic::FULL for documentation. - * - * @hideinitializer - **********************************************************************/ - FULL = SphericalEngine::FULL, - /** - * Schmidt semi-normalized associated Legendre polynomials. See - * SphericalHarmonic::SCHMIDT for documentation. - * - * @hideinitializer - **********************************************************************/ - SCHMIDT = SphericalEngine::SCHMIDT, - }; - - private: - typedef Math::real real; - SphericalEngine::coeff _c[3]; - real _a; - unsigned _norm; - - public: - /** - * Constructor with a full set of coefficients specified. - * - * @param[in] C the coefficients Cnm. - * @param[in] S the coefficients Snm. - * @param[in] N the maximum degree and order of the sum - * @param[in] C1 the coefficients C'nm. - * @param[in] S1 the coefficients S'nm. - * @param[in] N1 the maximum degree and order of the first correction - * coefficients C'nm and - * S'nm. - * @param[in] C2 the coefficients C''nm. - * @param[in] S2 the coefficients S''nm. - * @param[in] N2 the maximum degree and order of the second correction - * coefficients C'nm and - * S'nm. - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic2::FULL (the default) or - * SphericalHarmonic2::SCHMIDT. - * @exception GeographicErr if \e N and \e N1 do not satisfy \e N ≥ - * \e N1 ≥ −1, and similarly for \e N2. - * @exception GeographicErr if any of the vectors of coefficients is not - * large enough. - * - * See SphericalHarmonic for the way the coefficients should be stored. \e - * N1 and \e N2 should satisfy \e N1 ≤ \e N and \e N2 ≤ \e N. - * - * The class stores pointers to the first elements of \e C, \e S, \e - * C', \e S', \e C'', and \e S''. These arrays should not be altered or - * destroyed during the lifetime of a SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic2(const std::vector& C, - const std::vector& S, - int N, - const std::vector& C1, - const std::vector& S1, - int N1, - const std::vector& C2, - const std::vector& S2, - int N2, - real a, unsigned norm = FULL) - : _a(a) - , _norm(norm) { - if (!(N1 <= N && N2 <= N)) - throw GeographicErr("N1 and N2 cannot be larger that N"); - _c[0] = SphericalEngine::coeff(C, S, N); - _c[1] = SphericalEngine::coeff(C1, S1, N1); - _c[2] = SphericalEngine::coeff(C2, S2, N2); - } - - /** - * Constructor with a subset of coefficients specified. - * - * @param[in] C the coefficients Cnm. - * @param[in] S the coefficients Snm. - * @param[in] N the degree used to determine the layout of \e C and \e S. - * @param[in] nmx the maximum degree used in the sum. The sum over \e n is - * from 0 thru \e nmx. - * @param[in] mmx the maximum order used in the sum. The sum over \e m is - * from 0 thru min(\e n, \e mmx). - * @param[in] C1 the coefficients C'nm. - * @param[in] S1 the coefficients S'nm. - * @param[in] N1 the degree used to determine the layout of \e C' and \e - * S'. - * @param[in] nmx1 the maximum degree used for \e C' and \e S'. - * @param[in] mmx1 the maximum order used for \e C' and \e S'. - * @param[in] C2 the coefficients C''nm. - * @param[in] S2 the coefficients S''nm. - * @param[in] N2 the degree used to determine the layout of \e C'' and \e - * S''. - * @param[in] nmx2 the maximum degree used for \e C'' and \e S''. - * @param[in] mmx2 the maximum order used for \e C'' and \e S''. - * @param[in] a the reference radius appearing in the definition of the - * sum. - * @param[in] norm the normalization for the associated Legendre - * polynomials, either SphericalHarmonic2::FULL (the default) or - * SphericalHarmonic2::SCHMIDT. - * @exception GeographicErr if the parameters do not satisfy \e N ≥ \e - * nmx ≥ \e mmx ≥ −1; \e N1 ≥ \e nmx1 ≥ \e mmx1 ≥ - * −1; \e N ≥ \e N1; \e nmx ≥ \e nmx1; \e mmx ≥ \e mmx1; - * and similarly for \e N2, \e nmx2, and \e mmx2. - * @exception GeographicErr if any of the vectors of coefficients is not - * large enough. - * - * The class stores pointers to the first elements of \e C, \e S, \e - * C', \e S', \e C'', and \e S''. These arrays should not be altered or - * destroyed during the lifetime of a SphericalHarmonic object. - **********************************************************************/ - SphericalHarmonic2(const std::vector& C, - const std::vector& S, - int N, int nmx, int mmx, - const std::vector& C1, - const std::vector& S1, - int N1, int nmx1, int mmx1, - const std::vector& C2, - const std::vector& S2, - int N2, int nmx2, int mmx2, - real a, unsigned norm = FULL) - : _a(a) - , _norm(norm) { - if (!(nmx1 <= nmx && nmx2 <= nmx)) - throw GeographicErr("nmx1 and nmx2 cannot be larger that nmx"); - if (!(mmx1 <= mmx && mmx2 <= mmx)) - throw GeographicErr("mmx1 and mmx2 cannot be larger that mmx"); - _c[0] = SphericalEngine::coeff(C, S, N, nmx, mmx); - _c[1] = SphericalEngine::coeff(C1, S1, N1, nmx1, mmx1); - _c[2] = SphericalEngine::coeff(C2, S2, N2, nmx2, mmx2); - } - - /** - * A default constructor so that the object can be created when the - * constructor for another object is initialized. This default object can - * then be reset with the default copy assignment operator. - **********************************************************************/ - SphericalHarmonic2() {} - - /** - * Compute a spherical harmonic sum with two correction terms. - * - * @param[in] tau1 multiplier for correction coefficients \e C' and \e S'. - * @param[in] tau2 multiplier for correction coefficients \e C'' and \e - * S''. - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @return \e V the spherical harmonic sum. - * - * This routine requires constant memory and thus never throws an - * exception. - **********************************************************************/ - Math::real operator()(real tau1, real tau2, real x, real y, real z) - const { - real f[] = {1, tau1, tau2}; - real v = 0; - real dummy; - switch (_norm) { - case FULL: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, dummy, dummy, dummy); - break; - case SCHMIDT: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, dummy, dummy, dummy); - break; - } - return v; - } - - /** - * Compute a spherical harmonic sum with two correction terms and its - * gradient. - * - * @param[in] tau1 multiplier for correction coefficients \e C' and \e S'. - * @param[in] tau2 multiplier for correction coefficients \e C'' and \e - * S''. - * @param[in] x cartesian coordinate. - * @param[in] y cartesian coordinate. - * @param[in] z cartesian coordinate. - * @param[out] gradx \e x component of the gradient - * @param[out] grady \e y component of the gradient - * @param[out] gradz \e z component of the gradient - * @return \e V the spherical harmonic sum. - * - * This is the same as the previous function, except that the components of - * the gradients of the sum in the \e x, \e y, and \e z directions are - * computed. This routine requires constant memory and thus never throws - * an exception. - **********************************************************************/ - Math::real operator()(real tau1, real tau2, real x, real y, real z, - real& gradx, real& grady, real& gradz) const { - real f[] = {1, tau1, tau2}; - real v = 0; - switch (_norm) { - case FULL: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, gradx, grady, gradz); - break; - case SCHMIDT: - v = SphericalEngine::Value - (_c, f, x, y, z, _a, gradx, grady, gradz); - break; - } - return v; - } - - /** - * Create a CircularEngine to allow the efficient evaluation of several - * points on a circle of latitude at fixed values of \e tau1 and \e tau2. - * - * @param[in] tau1 multiplier for correction coefficients \e C' and \e S'. - * @param[in] tau2 multiplier for correction coefficients \e C'' and \e - * S''. - * @param[in] p the radius of the circle. - * @param[in] z the height of the circle above the equatorial plane. - * @param[in] gradp if true the returned object will be able to compute the - * gradient of the sum. - * @exception std::bad_alloc if the memory for the CircularEngine can't be - * allocated. - * @return the CircularEngine object. - * - * SphericalHarmonic2::operator()() exchanges the order of the sums in the - * definition, i.e., ∑n = 0..N - * ∑m = 0..n becomes ∑m = - * 0..N ∑n = m..N.. - * SphericalHarmonic2::Circle performs the inner sum over degree \e n - * (which entails about N2 operations). Calling - * CircularEngine::operator()() on the returned object performs the outer - * sum over the order \e m (about \e N operations). - * - * See SphericalHarmonic::Circle for an example of its use. - **********************************************************************/ - CircularEngine Circle(real tau1, real tau2, real p, real z, bool gradp) - const { - real f[] = {1, tau1, tau2}; - switch (_norm) { - case FULL: - return gradp ? - SphericalEngine::Circle - (_c, f, p, z, _a) : - SphericalEngine::Circle - (_c, f, p, z, _a); - break; - case SCHMIDT: - default: // To avoid compiler warnings - return gradp ? - SphericalEngine::Circle - (_c, f, p, z, _a) : - SphericalEngine::Circle - (_c, f, p, z, _a); - break; - } - } - - /** - * @return the zeroth SphericalEngine::coeff object. - **********************************************************************/ - const SphericalEngine::coeff& Coefficients() const - { return _c[0]; } - /** - * @return the first SphericalEngine::coeff object. - **********************************************************************/ - const SphericalEngine::coeff& Coefficients1() const - { return _c[1]; } - /** - * @return the second SphericalEngine::coeff object. - **********************************************************************/ - const SphericalEngine::coeff& Coefficients2() const - { return _c[2]; } - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_SPHERICALHARMONIC2_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/TransverseMercator.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/TransverseMercator.hpp deleted file mode 100644 index facb8afff5caa920b3371b3e2e68b746cee36c9c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/TransverseMercator.hpp +++ /dev/null @@ -1,206 +0,0 @@ -/** - * \file TransverseMercator.hpp - * \brief Header for GeographicLib::TransverseMercator class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_TRANSVERSEMERCATOR_HPP) -#define GEOGRAPHICLIB_TRANSVERSEMERCATOR_HPP 1 - -#include - -#if !defined(GEOGRAPHICLIB_TRANSVERSEMERCATOR_ORDER) -/** - * The order of the series approximation used in TransverseMercator. - * GEOGRAPHICLIB_TRANSVERSEMERCATOR_ORDER can be set to any integer in [4, 8]. - **********************************************************************/ -# define GEOGRAPHICLIB_TRANSVERSEMERCATOR_ORDER \ - (GEOGRAPHICLIB_PRECISION == 2 ? 6 : \ - (GEOGRAPHICLIB_PRECISION == 1 ? 4 : 8)) -#endif - -namespace GeographicLib { - - /** - * \brief Transverse Mercator projection - * - * This uses Krüger's method which evaluates the projection and its - * inverse in terms of a series. See - * - L. Krüger, - * Konforme - * Abbildung des Erdellipsoids in der Ebene (Conformal mapping of the - * ellipsoidal earth to the plane), Royal Prussian Geodetic Institute, New - * Series 52, 172 pp. (1912). - * - C. F. F. Karney, - * - * Transverse Mercator with an accuracy of a few nanometers, - * J. Geodesy 85(8), 475--485 (Aug. 2011); - * preprint - * arXiv:1002.1417. - * - * Krüger's method has been extended from 4th to 6th order. The maximum - * error is 5 nm (5 nanometers), ground distance, for all positions within 35 - * degrees of the central meridian. The error in the convergence is 2 - * × 10−15" and the relative error in the scale - * is 6 × 10−12%%. See Sec. 4 of - * arXiv:1002.1417 for details. - * The speed penalty in going to 6th order is only about 1%. - * - * There's a singularity in the projection at φ = 0°, λ - * − λ0 = ±(1 − \e e)90° (≈ - * ±82.6° for the WGS84 ellipsoid), where \e e is the - * eccentricity. Beyond this point, the series ceases to converge and the - * results from this method will be garbage. To be on the safe side, don't - * use this method if the angular distance from the central meridian exceeds - * (1 − 2e)90° (≈ 75° for the WGS84 ellipsoid) - * - * TransverseMercatorExact is an alternative implementation of the projection - * using exact formulas which yield accurate (to 8 nm) results over the - * entire ellipsoid. - * - * The ellipsoid parameters and the central scale are set in the constructor. - * The central meridian (which is a trivial shift of the longitude) is - * specified as the \e lon0 argument of the TransverseMercator::Forward and - * TransverseMercator::Reverse functions. The latitude of origin is taken to - * be the equator. There is no provision in this class for specifying a - * false easting or false northing or a different latitude of origin. - * However these are can be simply included by the calling function. For - * example, the UTMUPS class applies the false easting and false northing for - * the UTM projections. A more complicated example is the British National - * Grid ( - * EPSG:7405) which requires the use of a latitude of origin. This is - * implemented by the GeographicLib::OSGB class. - * - * This class also returns the meridian convergence \e gamma and scale \e k. - * The meridian convergence is the bearing of grid north (the \e y axis) - * measured clockwise from true north. - * - * See TransverseMercator.cpp for more information on the implementation. - * - * See \ref transversemercator for a discussion of this projection. - * - * Example of use: - * \include example-TransverseMercator.cpp - * - * TransverseMercatorProj is a - * command-line utility providing access to the functionality of - * TransverseMercator and TransverseMercatorExact. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT TransverseMercator { - private: - typedef Math::real real; - static const int maxpow_ = GEOGRAPHICLIB_TRANSVERSEMERCATOR_ORDER; - static const int numit_ = 5; - real _a, _f, _k0, _e2, _es, _e2m, _c, _n; - // _alp[0] and _bet[0] unused - real _a1, _b1, _alp[maxpow_ + 1], _bet[maxpow_ + 1]; - friend class Ellipsoid; // For access to taupf, tauf. - public: - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. Setting \e f = 0 gives a sphere. - * Negative \e f gives a prolate ellipsoid. - * @param[in] k0 central scale factor. - * @exception GeographicErr if \e a, (1 − \e f) \e a, or \e k0 is - * not positive. - **********************************************************************/ - TransverseMercator(real a, real f, real k0); - - /** - * Forward projection, from geographic to transverse Mercator. - * - * @param[in] lon0 central meridian of the projection (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. \e lat should be in the range - * [−90°, 90°]. - **********************************************************************/ - void Forward(real lon0, real lat, real lon, - real& x, real& y, real& gamma, real& k) const; - - /** - * Reverse projection, from transverse Mercator to geographic. - * - * @param[in] lon0 central meridian of the projection (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. The value of \e lon returned is - * in the range [−180°, 180°]. - **********************************************************************/ - void Reverse(real lon0, real x, real y, - real& lat, real& lon, real& gamma, real& k) const; - - /** - * TransverseMercator::Forward without returning the convergence and scale. - **********************************************************************/ - void Forward(real lon0, real lat, real lon, - real& x, real& y) const { - real gamma, k; - Forward(lon0, lat, lon, x, y, gamma, k); - } - - /** - * TransverseMercator::Reverse without returning the convergence and scale. - **********************************************************************/ - void Reverse(real lon0, real x, real y, - real& lat, real& lon) const { - real gamma, k; - Reverse(lon0, x, y, lat, lon, gamma, k); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _a; } - - /** - * @return \e f the flattening of the ellipsoid. This is the value used in - * the constructor. - **********************************************************************/ - Math::real Flattening() const { return _f; } - - /** - * @return \e k0 central scale for the projection. This is the value of \e - * k0 used in the constructor and is the scale on the central meridian. - **********************************************************************/ - Math::real CentralScale() const { return _k0; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of TransverseMercator with the WGS84 ellipsoid - * and the UTM scale factor. However, unlike UTM, no false easting or - * northing is added. - **********************************************************************/ - static const TransverseMercator& UTM(); - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_TRANSVERSEMERCATOR_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/TransverseMercatorExact.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/TransverseMercatorExact.hpp deleted file mode 100644 index 5dbe54009412b0c63e28c0ec92b78f4ea55d10a8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/TransverseMercatorExact.hpp +++ /dev/null @@ -1,264 +0,0 @@ -/** - * \file TransverseMercatorExact.hpp - * \brief Header for GeographicLib::TransverseMercatorExact class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_TRANSVERSEMERCATOREXACT_HPP) -#define GEOGRAPHICLIB_TRANSVERSEMERCATOREXACT_HPP 1 - -#include -#include - -namespace GeographicLib { - - /** - * \brief An exact implementation of the transverse Mercator projection - * - * Implementation of the Transverse Mercator Projection given in - * - L. P. Lee, - * Conformal - * Projections Based On Jacobian Elliptic Functions, Part V of - * Conformal Projections Based on Elliptic Functions, - * (B. V. Gutsell, Toronto, 1976), 128pp., - * ISBN: 0919870163 - * (also appeared as: - * Monograph 16, Suppl. No. 1 to Canadian Cartographer, Vol 13). - * - C. F. F. Karney, - * - * Transverse Mercator with an accuracy of a few nanometers, - * J. Geodesy 85(8), 475--485 (Aug. 2011); - * preprint - * arXiv:1002.1417. - * - * Lee gives the correct results for forward and reverse transformations - * subject to the branch cut rules (see the description of the \e extendp - * argument to the constructor). The maximum error is about 8 nm (8 - * nanometers), ground distance, for the forward and reverse transformations. - * The error in the convergence is 2 × 10−15", - * the relative error in the scale is 7 × 10−12%%. - * See Sec. 3 of - * arXiv:1002.1417 for details. - * The method is "exact" in the sense that the errors are close to the - * round-off limit and that no changes are needed in the algorithms for them - * to be used with reals of a higher precision. Thus the errors using long - * double (with a 64-bit fraction) are about 2000 times smaller than using - * double (with a 53-bit fraction). - * - * This algorithm is about 4.5 times slower than the 6th-order Krüger - * method, TransverseMercator, taking about 11 us for a combined forward and - * reverse projection on a 2.66 GHz Intel machine (g++, version 4.3.0, -O3). - * - * The ellipsoid parameters and the central scale are set in the constructor. - * The central meridian (which is a trivial shift of the longitude) is - * specified as the \e lon0 argument of the TransverseMercatorExact::Forward - * and TransverseMercatorExact::Reverse functions. The latitude of origin is - * taken to be the equator. See the documentation on TransverseMercator for - * how to include a false easting, false northing, or a latitude of origin. - * - * See tm-grid.kmz, for an - * illustration of the transverse Mercator grid in Google Earth. - * - * This class also returns the meridian convergence \e gamma and scale \e k. - * The meridian convergence is the bearing of grid north (the \e y axis) - * measured clockwise from true north. - * - * See TransverseMercatorExact.cpp for more information on the - * implementation. - * - * See \ref transversemercator for a discussion of this projection. - * - * Example of use: - * \include example-TransverseMercatorExact.cpp - * - * TransverseMercatorProj is a - * command-line utility providing access to the functionality of - * TransverseMercator and TransverseMercatorExact. - **********************************************************************/ - - class GEOGRAPHICLIB_EXPORT TransverseMercatorExact { - private: - typedef Math::real real; - static const int numit_ = 10; - real tol_, tol2_, taytol_; - real _a, _f, _k0, _mu, _mv, _e; - bool _extendp; - EllipticFunction _Eu, _Ev; - - void zeta(real u, real snu, real cnu, real dnu, - real v, real snv, real cnv, real dnv, - real& taup, real& lam) const; - - void dwdzeta(real u, real snu, real cnu, real dnu, - real v, real snv, real cnv, real dnv, - real& du, real& dv) const; - - bool zetainv0(real psi, real lam, real& u, real& v) const; - void zetainv(real taup, real lam, real& u, real& v) const; - - void sigma(real u, real snu, real cnu, real dnu, - real v, real snv, real cnv, real dnv, - real& xi, real& eta) const; - - void dwdsigma(real u, real snu, real cnu, real dnu, - real v, real snv, real cnv, real dnv, - real& du, real& dv) const; - - bool sigmainv0(real xi, real eta, real& u, real& v) const; - void sigmainv(real xi, real eta, real& u, real& v) const; - - void Scale(real tau, real lam, - real snu, real cnu, real dnu, - real snv, real cnv, real dnv, - real& gamma, real& k) const; - - public: - - /** - * Constructor for a ellipsoid with - * - * @param[in] a equatorial radius (meters). - * @param[in] f flattening of ellipsoid. - * @param[in] k0 central scale factor. - * @param[in] extendp use extended domain. - * @exception GeographicErr if \e a, \e f, or \e k0 is not positive. - * - * The transverse Mercator projection has a branch point singularity at \e - * lat = 0 and \e lon − \e lon0 = 90 (1 − \e e) or (for - * TransverseMercatorExact::UTM) x = 18381 km, y = 0m. The \e extendp - * argument governs where the branch cut is placed. With \e extendp = - * false, the "standard" convention is followed, namely the cut is placed - * along \e x > 18381 km, \e y = 0m. Forward can be called with any \e lat - * and \e lon then produces the transformation shown in Lee, Fig 46. - * Reverse analytically continues this in the ± \e x direction. As - * a consequence, Reverse may map multiple points to the same geographic - * location; for example, for TransverseMercatorExact::UTM, \e x = - * 22051449.037349 m, \e y = −7131237.022729 m and \e x = - * 29735142.378357 m, \e y = 4235043.607933 m both map to \e lat = - * −2°, \e lon = 88°. - * - * With \e extendp = true, the branch cut is moved to the lower left - * quadrant. The various symmetries of the transverse Mercator projection - * can be used to explore the projection on any sheet. In this mode the - * domains of \e lat, \e lon, \e x, and \e y are restricted to - * - the union of - * - \e lat in [0, 90] and \e lon − \e lon0 in [0, 90] - * - \e lat in (-90, 0] and \e lon − \e lon0 in [90 (1 − \e - e), 90] - * - the union of - * - x/(\e k0 \e a) in [0, ∞) and - * y/(\e k0 \e a) in [0, E(e2)] - * - x/(\e k0 \e a) in [K(1 − e2) − - * E(1 − e2), ∞) and y/(\e k0 \e - * a) in (−∞, 0] - * . - * See Sec. 5 of - * arXiv:1002.1417 for a full - * discussion of the treatment of the branch cut. - * - * The method will work for all ellipsoids used in terrestrial geodesy. - * The method cannot be applied directly to the case of a sphere (\e f = 0) - * because some the constants characterizing this method diverge in that - * limit, and in practice, \e f should be larger than about - * numeric_limits::epsilon(). However, TransverseMercator treats the - * sphere exactly. - **********************************************************************/ - TransverseMercatorExact(real a, real f, real k0, bool extendp = false); - - /** - * Forward projection, from geographic to transverse Mercator. - * - * @param[in] lon0 central meridian of the projection (degrees). - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. \e lat should be in the range - * [−90°, 90°]. - **********************************************************************/ - void Forward(real lon0, real lat, real lon, - real& x, real& y, real& gamma, real& k) const; - - /** - * Reverse projection, from transverse Mercator to geographic. - * - * @param[in] lon0 central meridian of the projection (degrees). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * - * No false easting or northing is added. The value of \e lon returned is - * in the range [−180°, 180°]. - **********************************************************************/ - void Reverse(real lon0, real x, real y, - real& lat, real& lon, real& gamma, real& k) const; - - /** - * TransverseMercatorExact::Forward without returning the convergence and - * scale. - **********************************************************************/ - void Forward(real lon0, real lat, real lon, - real& x, real& y) const { - real gamma, k; - Forward(lon0, lat, lon, x, y, gamma, k); - } - - /** - * TransverseMercatorExact::Reverse without returning the convergence and - * scale. - **********************************************************************/ - void Reverse(real lon0, real x, real y, - real& lat, real& lon) const { - real gamma, k; - Reverse(lon0, x, y, lat, lon, gamma, k); - } - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - Math::real EquatorialRadius() const { return _a; } - - /** - * @return \e f the flattening of the ellipsoid. This is the value used in - * the constructor. - **********************************************************************/ - Math::real Flattening() const { return _f; } - - /** - * @return \e k0 central scale for the projection. This is the value of \e - * k0 used in the constructor and is the scale on the central meridian. - **********************************************************************/ - Math::real CentralScale() const { return _k0; } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - Math::real MajorRadius() const { return EquatorialRadius(); } - ///@} - - /** - * A global instantiation of TransverseMercatorExact with the WGS84 - * ellipsoid and the UTM scale factor. However, unlike UTM, no false - * easting or northing is added. - **********************************************************************/ - static const TransverseMercatorExact& UTM(); - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_TRANSVERSEMERCATOREXACT_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/UTMUPS.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/UTMUPS.hpp deleted file mode 100644 index 6cb6dfea85599a2975c0ba11cb513b6b6bcf6501..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/UTMUPS.hpp +++ /dev/null @@ -1,428 +0,0 @@ -/** - * \file UTMUPS.hpp - * \brief Header for GeographicLib::UTMUPS class - * - * Copyright (c) Charles Karney (2008-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_UTMUPS_HPP) -#define GEOGRAPHICLIB_UTMUPS_HPP 1 - -#include - -namespace GeographicLib { - - /** - * \brief Convert between geographic coordinates and UTM/UPS - * - * UTM and UPS are defined - * - J. W. Hager, J. F. Behensky, and B. W. Drew, - * - * The Universal Grids: Universal Transverse Mercator (UTM) and Universal - * Polar Stereographic (UPS), Defense Mapping Agency, Technical Manual - * TM8358.2 (1989). - * . - * Section 2-3 defines UTM and section 3-2.4 defines UPS. This document also - * includes approximate algorithms for the computation of the underlying - * transverse Mercator and polar stereographic projections. Here we - * substitute much more accurate algorithms given by - * GeographicLib:TransverseMercator and GeographicLib:PolarStereographic. - * These are the algorithms recommended by the NGA document - * - - * The Universal Grids and the Transverse Mercator and Polar Stereographic - * Map Projections, NGA.SIG.0012_2.0.0_UTMUPS (2014). - * - * In this implementation, the conversions are closed, i.e., output from - * Forward is legal input for Reverse and vice versa. The error is about 5nm - * in each direction. However, the conversion from legal UTM/UPS coordinates - * to geographic coordinates and back might throw an error if the initial - * point is within 5nm of the edge of the allowed range for the UTM/UPS - * coordinates. - * - * The simplest way to guarantee the closed property is to define allowed - * ranges for the eastings and northings for UTM and UPS coordinates. The - * UTM boundaries are the same for all zones. (The only place the - * exceptional nature of the zone boundaries is evident is when converting to - * UTM/UPS coordinates requesting the standard zone.) The MGRS lettering - * scheme imposes natural limits on UTM/UPS coordinates which may be - * converted into MGRS coordinates. For the conversion to/from geographic - * coordinates these ranges have been extended by 100km in order to provide a - * generous overlap between UTM and UPS and between UTM zones. - * - * The NGA software package - * geotrans - * also provides conversions to and from UTM and UPS. Version 2.4.2 (and - * earlier) suffers from some drawbacks: - * - Inconsistent rules are used to determine the whether a particular UTM or - * UPS coordinate is legal. A more systematic approach is taken here. - * - The underlying projections are not very accurately implemented. - * - * The GeographicLib::UTMUPS::EncodeZone encodes the UTM zone and hemisphere - * to allow UTM/UPS coordinated to be displayed as, for example, "38N 444500 - * 3688500". According to NGA.SIG.0012_2.0.0_UTMUPS the use of "N" to denote - * "north" in the context is not allowed (since a upper case letter in this - * context denotes the MGRS latitude band). Consequently, as of version - * 1.36, EncodeZone uses the lower case letters "n" and "s" to denote the - * hemisphere. In addition EncodeZone accepts an optional final argument \e - * abbrev, which, if false, results in the hemisphere being spelled out as in - * "38north". - * - * Example of use: - * \include example-UTMUPS.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT UTMUPS { - private: - typedef Math::real real; - static const int falseeasting_[4]; - static const int falsenorthing_[4]; - static const int mineasting_[4]; - static const int maxeasting_[4]; - static const int minnorthing_[4]; - static const int maxnorthing_[4]; - static const int epsg01N = 32601; // EPSG code for UTM 01N - static const int epsg60N = 32660; // EPSG code for UTM 60N - static const int epsgN = 32661; // EPSG code for UPS N - static const int epsg01S = 32701; // EPSG code for UTM 01S - static const int epsg60S = 32760; // EPSG code for UTM 60S - static const int epsgS = 32761; // EPSG code for UPS S - static real CentralMeridian(int zone) - { return real(6 * zone - 183); } - // Throw an error if easting or northing are outside standard ranges. If - // throwp = false, return bool instead. - static bool CheckCoords(bool utmp, bool northp, real x, real y, - bool msgrlimits = false, bool throwp = true); - UTMUPS(); // Disable constructor - - public: - - /** - * In this class we bring together the UTM and UPS coordinates systems. - * The UTM divides the earth between latitudes −80° and 84° - * into 60 zones numbered 1 thru 60. Zone assign zone number 0 to the UPS - * regions, covering the two poles. Within UTMUPS, non-negative zone - * numbers refer to one of the "physical" zones, 0 for UPS and [1, 60] for - * UTM. Negative "pseudo-zone" numbers are used to select one of the - * physical zones. - **********************************************************************/ - enum zonespec { - /** - * The smallest pseudo-zone number. - **********************************************************************/ - MINPSEUDOZONE = -4, - /** - * A marker for an undefined or invalid zone. Equivalent to NaN. - **********************************************************************/ - INVALID = -4, - /** - * If a coordinate already include zone information (e.g., it is an MGRS - * coordinate), use that, otherwise apply the UTMUPS::STANDARD rules. - **********************************************************************/ - MATCH = -3, - /** - * Apply the standard rules for UTM zone assigment extending the UTM zone - * to each pole to give a zone number in [1, 60]. For example, use UTM - * zone 38 for longitude in [42°, 48°). The rules include the - * Norway and Svalbard exceptions. - **********************************************************************/ - UTM = -2, - /** - * Apply the standard rules for zone assignment to give a zone number in - * [0, 60]. If the latitude is not in [−80°, 84°), then - * use UTMUPS::UPS = 0, otherwise apply the rules for UTMUPS::UTM. The - * tests on latitudes and longitudes are all closed on the lower end open - * on the upper. Thus for UTM zone 38, latitude is in [−80°, - * 84°) and longitude is in [42°, 48°). - **********************************************************************/ - STANDARD = -1, - /** - * The largest pseudo-zone number. - **********************************************************************/ - MAXPSEUDOZONE = -1, - /** - * The smallest physical zone number. - **********************************************************************/ - MINZONE = 0, - /** - * The zone number used for UPS - **********************************************************************/ - UPS = 0, - /** - * The smallest UTM zone number. - **********************************************************************/ - MINUTMZONE = 1, - /** - * The largest UTM zone number. - **********************************************************************/ - MAXUTMZONE = 60, - /** - * The largest physical zone number. - **********************************************************************/ - MAXZONE = 60, - }; - - /** - * The standard zone. - * - * @param[in] lat latitude (degrees). - * @param[in] lon longitude (degrees). - * @param[in] setzone zone override (optional). If omitted, use the - * standard rules for picking the zone. If \e setzone is given then use - * that zone if it is non-negative, otherwise apply the rules given in - * UTMUPS::zonespec. - * @exception GeographicErr if \e setzone is outside the range - * [UTMUPS::MINPSEUDOZONE, UTMUPS::MAXZONE] = [−4, 60]. - * - * This is exact. - **********************************************************************/ - static int StandardZone(real lat, real lon, int setzone = STANDARD); - - /** - * Forward projection, from geographic to UTM/UPS. - * - * @param[in] lat latitude of point (degrees). - * @param[in] lon longitude of point (degrees). - * @param[out] zone the UTM zone (zero means UPS). - * @param[out] northp hemisphere (true means north, false means south). - * @param[out] x easting of point (meters). - * @param[out] y northing of point (meters). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * @param[in] setzone zone override (optional). - * @param[in] mgrslimits if true enforce the stricter MGRS limits on the - * coordinates (default = false). - * @exception GeographicErr if \e lat is not in [−90°, - * 90°]. - * @exception GeographicErr if the resulting \e x or \e y is out of allowed - * range (see Reverse); in this case, these arguments are unchanged. - * - * If \e setzone is omitted, use the standard rules for picking the zone. - * If \e setzone is given then use that zone if it is non-negative, - * otherwise apply the rules given in UTMUPS::zonespec. The accuracy of - * the conversion is about 5nm. - * - * The northing \e y jumps by UTMUPS::UTMShift() when crossing the equator - * in the southerly direction. Sometimes it is useful to remove this - * discontinuity in \e y by extending the "northern" hemisphere using - * UTMUPS::Transfer: - * \code - double lat = -1, lon = 123; - int zone; - bool northp; - double x, y, gamma, k; - GeographicLib::UTMUPS::Forward(lat, lon, zone, northp, x, y, gamma, k); - GeographicLib::UTMUPS::Transfer(zone, northp, x, y, - zone, true, x, y, zone); - northp = true; - \endcode - **********************************************************************/ - static void Forward(real lat, real lon, - int& zone, bool& northp, real& x, real& y, - real& gamma, real& k, - int setzone = STANDARD, bool mgrslimits = false); - - /** - * Reverse projection, from UTM/UPS to geographic. - * - * @param[in] zone the UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] x easting of point (meters). - * @param[in] y northing of point (meters). - * @param[out] lat latitude of point (degrees). - * @param[out] lon longitude of point (degrees). - * @param[out] gamma meridian convergence at point (degrees). - * @param[out] k scale of projection at point. - * @param[in] mgrslimits if true enforce the stricter MGRS limits on the - * coordinates (default = false). - * @exception GeographicErr if \e zone, \e x, or \e y is out of allowed - * range; this this case the arguments are unchanged. - * - * The accuracy of the conversion is about 5nm. - * - * UTM eastings are allowed to be in the range [0km, 1000km], northings are - * allowed to be in in [0km, 9600km] for the northern hemisphere and in - * [900km, 10000km] for the southern hemisphere. However UTM northings - * can be continued across the equator. So the actual limits on the - * northings are [-9100km, 9600km] for the "northern" hemisphere and - * [900km, 19600km] for the "southern" hemisphere. - * - * UPS eastings and northings are allowed to be in the range [1200km, - * 2800km] in the northern hemisphere and in [700km, 3300km] in the - * southern hemisphere. - * - * These ranges are 100km larger than allowed for the conversions to MGRS. - * (100km is the maximum extra padding consistent with eastings remaining - * non-negative.) This allows generous overlaps between zones and UTM and - * UPS. If \e mgrslimits = true, then all the ranges are shrunk by 100km - * so that they agree with the stricter MGRS ranges. No checks are - * performed besides these (e.g., to limit the distance outside the - * standard zone boundaries). - **********************************************************************/ - static void Reverse(int zone, bool northp, real x, real y, - real& lat, real& lon, real& gamma, real& k, - bool mgrslimits = false); - - /** - * UTMUPS::Forward without returning convergence and scale. - **********************************************************************/ - static void Forward(real lat, real lon, - int& zone, bool& northp, real& x, real& y, - int setzone = STANDARD, bool mgrslimits = false) { - real gamma, k; - Forward(lat, lon, zone, northp, x, y, gamma, k, setzone, mgrslimits); - } - - /** - * UTMUPS::Reverse without returning convergence and scale. - **********************************************************************/ - static void Reverse(int zone, bool northp, real x, real y, - real& lat, real& lon, bool mgrslimits = false) { - real gamma, k; - Reverse(zone, northp, x, y, lat, lon, gamma, k, mgrslimits); - } - - /** - * Transfer UTM/UPS coordinated from one zone to another. - * - * @param[in] zonein the UTM zone for \e xin and \e yin (or zero for UPS). - * @param[in] northpin hemisphere for \e xin and \e yin (true means north, - * false means south). - * @param[in] xin easting of point (meters) in \e zonein. - * @param[in] yin northing of point (meters) in \e zonein. - * @param[in] zoneout the requested UTM zone for \e xout and \e yout (or - * zero for UPS). - * @param[in] northpout hemisphere for \e xout output and \e yout. - * @param[out] xout easting of point (meters) in \e zoneout. - * @param[out] yout northing of point (meters) in \e zoneout. - * @param[out] zone the actual UTM zone for \e xout and \e yout (or zero - * for UPS); this equals \e zoneout if \e zoneout ≥ 0. - * @exception GeographicErr if \e zonein is out of range (see below). - * @exception GeographicErr if \e zoneout is out of range (see below). - * @exception GeographicErr if \e xin or \e yin fall outside their allowed - * ranges (see UTMUPS::Reverse). - * @exception GeographicErr if \e xout or \e yout fall outside their - * allowed ranges (see UTMUPS::Reverse). - * - * \e zonein must be in the range [UTMUPS::MINZONE, UTMUPS::MAXZONE] = [0, - * 60] with \e zonein = UTMUPS::UPS, 0, indicating UPS. \e zonein may - * also be UTMUPS::INVALID. - * - * \e zoneout must be in the range [UTMUPS::MINPSEUDOZONE, UTMUPS::MAXZONE] - * = [-4, 60]. If \e zoneout < UTMUPS::MINZONE then the rules give in - * the documentation of UTMUPS::zonespec are applied, and \e zone is set to - * the actual zone used for output. - * - * (\e xout, \e yout) can overlap with (\e xin, \e yin). - **********************************************************************/ - static void Transfer(int zonein, bool northpin, real xin, real yin, - int zoneout, bool northpout, real& xout, real& yout, - int& zone); - - /** - * Decode a UTM/UPS zone string. - * - * @param[in] zonestr string representation of zone and hemisphere. - * @param[out] zone the UTM zone (zero means UPS). - * @param[out] northp hemisphere (true means north, false means south). - * @exception GeographicErr if \e zonestr is malformed. - * - * For UTM, \e zonestr has the form of a zone number in the range - * [UTMUPS::MINUTMZONE, UTMUPS::MAXUTMZONE] = [1, 60] followed by a - * hemisphere letter, n or s (or "north" or "south" spelled out). For UPS, - * it consists just of the hemisphere letter (or the spelled out - * hemisphere). The returned value of \e zone is UTMUPS::UPS = 0 for UPS. - * Note well that "38s" indicates the southern hemisphere of zone 38 and - * not latitude band S, 32° ≤ \e lat < 40°. n, 01s, 2n, 38s, - * south, 3north are legal. 0n, 001s, +3n, 61n, 38P are illegal. INV is a - * special value for which the returned value of \e is UTMUPS::INVALID. - **********************************************************************/ - static void DecodeZone(const std::string& zonestr, - int& zone, bool& northp); - - /** - * Encode a UTM/UPS zone string. - * - * @param[in] zone the UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @param[in] abbrev if true (the default) use abbreviated (n/s) notation - * for hemisphere; otherwise spell out the hemisphere (north/south) - * @exception GeographicErr if \e zone is out of range (see below). - * @exception std::bad_alloc if memoy for the string can't be allocated. - * @return string representation of zone and hemisphere. - * - * \e zone must be in the range [UTMUPS::MINZONE, UTMUPS::MAXZONE] = [0, - * 60] with \e zone = UTMUPS::UPS, 0, indicating UPS (but the resulting - * string does not contain "0"). \e zone may also be UTMUPS::INVALID, in - * which case the returned string is "inv". This reverses - * UTMUPS::DecodeZone. - **********************************************************************/ - static std::string EncodeZone(int zone, bool northp, bool abbrev = true); - - /** - * Decode EPSG. - * - * @param[in] epsg the EPSG code. - * @param[out] zone the UTM zone (zero means UPS). - * @param[out] northp hemisphere (true means north, false means south). - * - * EPSG (European Petroleum Survery Group) codes are a way to refer to many - * different projections. DecodeEPSG decodes those referring to UTM or UPS - * projections for the WGS84 ellipsoid. If the code does not refer to one - * of these projections, \e zone is set to UTMUPS::INVALID. See - * https://www.spatialreference.org/ref/epsg/ - **********************************************************************/ - static void DecodeEPSG(int epsg, int& zone, bool& northp); - - /** - * Encode zone as EPSG. - * - * @param[in] zone the UTM zone (zero means UPS). - * @param[in] northp hemisphere (true means north, false means south). - * @return EPSG code (or -1 if \e zone is not in the range - * [UTMUPS::MINZONE, UTMUPS::MAXZONE] = [0, 60]) - * - * Convert \e zone and \e northp to the corresponding EPSG (European - * Petroleum Survery Group) codes - **********************************************************************/ - static int EncodeEPSG(int zone, bool northp); - - /** - * @return shift (meters) necessary to align north and south halves of a - * UTM zone (107). - **********************************************************************/ - static Math::real UTMShift(); - - /** \name Inspector functions - **********************************************************************/ - ///@{ - /** - * @return \e a the equatorial radius of the WGS84 ellipsoid (meters). - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - static Math::real EquatorialRadius() - { return Constants::WGS84_a(); } - - /** - * @return \e f the flattening of the WGS84 ellipsoid. - * - * (The WGS84 value is returned because the UTM and UPS projections are - * based on this ellipsoid.) - **********************************************************************/ - static Math::real Flattening() - { return Constants::WGS84_f(); } - - /** - * \deprecated An old name for EquatorialRadius(). - **********************************************************************/ - // GEOGRAPHICLIB_DEPRECATED("Use EquatorialRadius()") - static Math::real MajorRadius() { return EquatorialRadius(); } - ///@} - - }; - -} // namespace GeographicLib - -#endif // GEOGRAPHICLIB_UTMUPS_HPP diff --git a/libs/GeographicLib-1.50.1/include/GeographicLib/Utility.hpp b/libs/GeographicLib-1.50.1/include/GeographicLib/Utility.hpp deleted file mode 100644 index 64dcaa85f992047f0cc554c7d840b249214ecb99..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/GeographicLib/Utility.hpp +++ /dev/null @@ -1,705 +0,0 @@ -/** - * \file Utility.hpp - * \brief Header for GeographicLib::Utility class - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -#if !defined(GEOGRAPHICLIB_UTILITY_HPP) -#define GEOGRAPHICLIB_UTILITY_HPP 1 - -#include -#include -#include -#include -#include -#include -#include - -#if defined(_MSC_VER) -// Squelch warnings about constant conditional expressions and unsafe gmtime -# pragma warning (push) -# pragma warning (disable: 4127 4996) -#endif - -namespace GeographicLib { - - /** - * \brief Some utility routines for %GeographicLib - * - * Example of use: - * \include example-Utility.cpp - **********************************************************************/ - class GEOGRAPHICLIB_EXPORT Utility { - private: - static bool gregorian(int y, int m, int d) { - // The original cut over to the Gregorian calendar in Pope Gregory XIII's - // time had 1582-10-04 followed by 1582-10-15. Here we implement the - // switch over used by the English-speaking world where 1752-09-02 was - // followed by 1752-09-14. We also assume that the year always begins - // with January 1, whereas in reality it often was reckoned to begin in - // March. - return 100 * (100 * y + m) + d >= 17520914; // or 15821015 - } - static bool gregorian(int s) { - return s >= 639799; // 1752-09-14 - } - public: - - /** - * Convert a date to the day numbering sequentially starting with - * 0001-01-01 as day 1. - * - * @param[in] y the year (must be positive). - * @param[in] m the month, Jan = 1, etc. (must be positive). Default = 1. - * @param[in] d the day of the month (must be positive). Default = 1. - * @return the sequential day number. - **********************************************************************/ - static int day(int y, int m = 1, int d = 1) { - // Convert from date to sequential day and vice versa - // - // Here is some code to convert a date to sequential day and vice - // versa. The sequential day is numbered so that January 1, 1 AD is day 1 - // (a Saturday). So this is offset from the "Julian" day which starts the - // numbering with 4713 BC. - // - // This is inspired by a talk by John Conway at the John von Neumann - // National Supercomputer Center when he described his Doomsday algorithm - // for figuring the day of the week. The code avoids explicitly doing ifs - // (except for the decision of whether to use the Julian or Gregorian - // calendar). Instead the equivalent result is achieved using integer - // arithmetic. I got this idea from the routine for the day of the week - // in MACLisp (I believe that that routine was written by Guy Steele). - // - // There are three issues to take care of - // - // 1. the rules for leap years, - // 2. the inconvenient placement of leap days at the end of February, - // 3. the irregular pattern of month lengths. - // - // We deal with these as follows: - // - // 1. Leap years are given by simple rules which are straightforward to - // accommodate. - // - // 2. We simplify the calculations by moving January and February to the - // previous year. Here we internally number the months March–December, - // January, February as 0–9, 10, 11. - // - // 3. The pattern of month lengths from March through January is regular - // with a 5-month period—31, 30, 31, 30, 31, 31, 30, 31, 30, 31, 31. The - // 5-month period is 153 days long. Since February is now at the end of - // the year, we don't need to include its length in this part of the - // calculation. - bool greg = gregorian(y, m, d); - y += (m + 9) / 12 - 1; // Move Jan and Feb to previous year, - m = (m + 9) % 12; // making March month 0. - return - (1461 * y) / 4 // Julian years converted to days. Julian year is 365 + - // 1/4 = 1461/4 days. - // Gregorian leap year corrections. The 2 offset with respect to the - // Julian calendar synchronizes the vernal equinox with that at the - // time of the Council of Nicea (325 AD). - + (greg ? (y / 100) / 4 - (y / 100) + 2 : 0) - + (153 * m + 2) / 5 // The zero-based start of the m'th month - + d - 1 // The zero-based day - - 305; // The number of days between March 1 and December 31. - // This makes 0001-01-01 day 1 - } - - /** - * Convert a date to the day numbering sequentially starting with - * 0001-01-01 as day 1. - * - * @param[in] y the year (must be positive). - * @param[in] m the month, Jan = 1, etc. (must be positive). Default = 1. - * @param[in] d the day of the month (must be positive). Default = 1. - * @param[in] check whether to check the date. - * @exception GeographicErr if the date is invalid and \e check is true. - * @return the sequential day number. - **********************************************************************/ - static int day(int y, int m, int d, bool check) { - int s = day(y, m, d); - if (!check) - return s; - int y1, m1, d1; - date(s, y1, m1, d1); - if (!(s > 0 && y == y1 && m == m1 && d == d1)) - throw GeographicErr("Invalid date " + - str(y) + "-" + str(m) + "-" + str(d) - + (s > 0 ? "; use " + - str(y1) + "-" + str(m1) + "-" + str(d1) : - " before 0001-01-01")); - return s; - } - - /** - * Given a day (counting from 0001-01-01 as day 1), return the date. - * - * @param[in] s the sequential day number (must be positive) - * @param[out] y the year. - * @param[out] m the month, Jan = 1, etc. - * @param[out] d the day of the month. - **********************************************************************/ - static void date(int s, int& y, int& m, int& d) { - int c = 0; - bool greg = gregorian(s); - s += 305; // s = 0 on March 1, 1BC - if (greg) { - s -= 2; // The 2 day Gregorian offset - // Determine century with the Gregorian rules for leap years. The - // Gregorian year is 365 + 1/4 - 1/100 + 1/400 = 146097/400 days. - c = (4 * s + 3) / 146097; - s -= (c * 146097) / 4; // s = 0 at beginning of century - } - y = (4 * s + 3) / 1461; // Determine the year using Julian rules. - s -= (1461 * y) / 4; // s = 0 at start of year, i.e., March 1 - y += c * 100; // Assemble full year - m = (5 * s + 2) / 153; // Determine the month - s -= (153 * m + 2) / 5; // s = 0 at beginning of month - d = s + 1; // Determine day of month - y += (m + 2) / 12; // Move Jan and Feb back to original year - m = (m + 2) % 12 + 1; // Renumber the months so January = 1 - } - - /** - * Given a date as a string in the format yyyy, yyyy-mm, or yyyy-mm-dd, - * return the numeric values for the year, month, and day. No checking is - * done on these values. The string "now" is interpreted as the present - * date (in UTC). - * - * @param[in] s the date in string format. - * @param[out] y the year. - * @param[out] m the month, Jan = 1, etc. - * @param[out] d the day of the month. - * @exception GeographicErr is \e s is malformed. - **********************************************************************/ - static void date(const std::string& s, int& y, int& m, int& d) { - if (s == "now") { - std::time_t t = std::time(0); - struct tm* now = gmtime(&t); - y = now->tm_year + 1900; - m = now->tm_mon + 1; - d = now->tm_mday; - return; - } - int y1, m1 = 1, d1 = 1; - const char* digits = "0123456789"; - std::string::size_type p1 = s.find_first_not_of(digits); - if (p1 == std::string::npos) - y1 = val(s); - else if (s[p1] != '-') - throw GeographicErr("Delimiter not hyphen in date " + s); - else if (p1 == 0) - throw GeographicErr("Empty year field in date " + s); - else { - y1 = val(s.substr(0, p1)); - if (++p1 == s.size()) - throw GeographicErr("Empty month field in date " + s); - std::string::size_type p2 = s.find_first_not_of(digits, p1); - if (p2 == std::string::npos) - m1 = val(s.substr(p1)); - else if (s[p2] != '-') - throw GeographicErr("Delimiter not hyphen in date " + s); - else if (p2 == p1) - throw GeographicErr("Empty month field in date " + s); - else { - m1 = val(s.substr(p1, p2 - p1)); - if (++p2 == s.size()) - throw GeographicErr("Empty day field in date " + s); - d1 = val(s.substr(p2)); - } - } - y = y1; m = m1; d = d1; - } - - /** - * Given the date, return the day of the week. - * - * @param[in] y the year (must be positive). - * @param[in] m the month, Jan = 1, etc. (must be positive). - * @param[in] d the day of the month (must be positive). - * @return the day of the week with Sunday, Monday--Saturday = 0, - * 1--6. - **********************************************************************/ - static int dow(int y, int m, int d) { return dow(day(y, m, d)); } - - /** - * Given the sequential day, return the day of the week. - * - * @param[in] s the sequential day (must be positive). - * @return the day of the week with Sunday, Monday--Saturday = 0, - * 1--6. - **********************************************************************/ - static int dow(int s) { - return (s + 5) % 7; // The 5 offset makes day 1 (0001-01-01) a Saturday. - } - - /** - * Convert a string representing a date to a fractional year. - * - * @tparam T the type of the argument. - * @param[in] s the string to be converted. - * @exception GeographicErr if \e s can't be interpreted as a date. - * @return the fractional year. - * - * The string is first read as an ordinary number (e.g., 2010 or 2012.5); - * if this is successful, the value is returned. Otherwise the string - * should be of the form yyyy-mm or yyyy-mm-dd and this is converted to a - * number with 2010-01-01 giving 2010.0 and 2012-07-03 giving 2012.5. - **********************************************************************/ - template static T fractionalyear(const std::string& s) { - try { - return val(s); - } - catch (const std::exception&) {} - int y, m, d; - date(s, y, m, d); - int t = day(y, m, d, true); - return T(y) + T(t - day(y)) / T(day(y + 1) - day(y)); - } - - /** - * Convert a object of type T to a string. - * - * @tparam T the type of the argument. - * @param[in] x the value to be converted. - * @param[in] p the precision used (default −1). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return the string representation. - * - * If \e p ≥ 0, then the number fixed format is used with p bits of - * precision. With p < 0, there is no manipulation of the format. - **********************************************************************/ - template static std::string str(T x, int p = -1) { - std::ostringstream s; - if (p >= 0) s << std::fixed << std::setprecision(p); - s << x; return s.str(); - } - - /** - * Convert a Math::real object to a string. - * - * @param[in] x the value to be converted. - * @param[in] p the precision used (default −1). - * @exception std::bad_alloc if memory for the string can't be allocated. - * @return the string representation. - * - * If \e p ≥ 0, then the number fixed format is used with p bits of - * precision. With p < 0, there is no manipulation of the format. This is - * an overload of str which deals with inf and nan. - **********************************************************************/ - static std::string str(Math::real x, int p = -1) { - if (!Math::isfinite(x)) - return x < 0 ? std::string("-inf") : - (x > 0 ? std::string("inf") : std::string("nan")); - std::ostringstream s; -#if GEOGRAPHICLIB_PRECISION == 4 - // boost-quadmath treats precision == 0 as "use as many digits as - // necessary" (see https://svn.boost.org/trac/boost/ticket/10103), so... - using std::floor; using std::fmod; - if (p == 0) { - x += Math::real(0.5); - Math::real ix = floor(x); - // Implement the "round ties to even" rule - x = (ix == x && fmod(ix, Math::real(2)) == 1) ? ix - 1 : ix; - s << std::fixed << std::setprecision(1) << x; - std::string r(s.str()); - // strip off trailing ".0" - return r.substr(0, (std::max)(int(r.size()) - 2, 0)); - } -#endif - if (p >= 0) s << std::fixed << std::setprecision(p); - s << x; return s.str(); - } - - /** - * Trim the white space from the beginning and end of a string. - * - * @param[in] s the string to be trimmed - * @return the trimmed string - **********************************************************************/ - static std::string trim(const std::string& s) { - unsigned - beg = 0, - end = unsigned(s.size()); - while (beg < end && isspace(s[beg])) - ++beg; - while (beg < end && isspace(s[end - 1])) - --end; - return std::string(s, beg, end-beg); - } - - /** - * Convert a string to type T. - * - * @tparam T the type of the return value. - * @param[in] s the string to be converted. - * @exception GeographicErr is \e s is not readable as a T. - * @return object of type T. - * - * White space at the beginning and end of \e s is ignored. - * - * Special handling is provided for some types. - * - * If T is a floating point type, then inf and nan are recognized. - * - * If T is bool, then \e s should either be string a representing 0 (false) - * or 1 (true) or one of the strings - * - "false", "f", "nil", "no", "n", "off", or "" meaning false, - * - "true", "t", "yes", "y", or "on" meaning true; - * . - * case is ignored. - * - * If T is std::string, then \e s is returned (with the white space at the - * beginning and end removed). - **********************************************************************/ - template static T val(const std::string& s) { - // If T is bool, then the specialization val() defined below is - // used. - T x; - std::string errmsg, t(trim(s)); - do { // Executed once (provides the ability to break) - std::istringstream is(t); - if (!(is >> x)) { - errmsg = "Cannot decode " + t; - break; - } - int pos = int(is.tellg()); // Returns -1 at end of string? - if (!(pos < 0 || pos == int(t.size()))) { - errmsg = "Extra text " + t.substr(pos) + " at end of " + t; - break; - } - return x; - } while (false); - x = std::numeric_limits::is_integer ? 0 : nummatch(t); - if (x == 0) - throw GeographicErr(errmsg); - return x; - } - /** - * \deprecated An old name for val(s). - **********************************************************************/ - template - GEOGRAPHICLIB_DEPRECATED("Use Utility::val(s)") - static T num(const std::string& s) { - return val(s); - } - - /** - * Match "nan" and "inf" (and variants thereof) in a string. - * - * @tparam T the type of the return value (this should be a floating point - * type). - * @param[in] s the string to be matched. - * @return appropriate special value (±∞, nan) or 0 if none is - * found. - * - * White space is not allowed at the beginning or end of \e s. - **********************************************************************/ - template static T nummatch(const std::string& s) { - if (s.length() < 3) - return 0; - std::string t(s); - for (std::string::iterator p = t.begin(); p != t.end(); ++p) - *p = char(std::toupper(*p)); - for (size_t i = s.length(); i--;) - t[i] = char(std::toupper(s[i])); - int sign = t[0] == '-' ? -1 : 1; - std::string::size_type p0 = t[0] == '-' || t[0] == '+' ? 1 : 0; - std::string::size_type p1 = t.find_last_not_of('0'); - if (p1 == std::string::npos || p1 + 1 < p0 + 3) - return 0; - // Strip off sign and trailing 0s - t = t.substr(p0, p1 + 1 - p0); // Length at least 3 - if (t == "NAN" || t == "1.#QNAN" || t == "1.#SNAN" || t == "1.#IND" || - t == "1.#R") - return Math::NaN(); - else if (t == "INF" || t == "1.#INF") - return sign * Math::infinity(); - return 0; - } - - /** - * Read a simple fraction, e.g., 3/4, from a string to an object of type T. - * - * @tparam T the type of the return value. - * @param[in] s the string to be converted. - * @exception GeographicErr is \e s is not readable as a fraction of type - * T. - * @return object of type T - * - * \note The msys shell under Windows converts arguments which look like - * pathnames into their Windows equivalents. As a result the argument - * "-1/300" gets mangled into something unrecognizable. A workaround is to - * use a floating point number in the numerator, i.e., "-1.0/300". (Recent - * versions of the msys shell appear \e not to have this problem.) - **********************************************************************/ - template static T fract(const std::string& s) { - std::string::size_type delim = s.find('/'); - return - !(delim != std::string::npos && delim >= 1 && delim + 2 <= s.size()) ? - val(s) : - // delim in [1, size() - 2] - val(s.substr(0, delim)) / val(s.substr(delim + 1)); - } - - /** - * Lookup up a character in a string. - * - * @param[in] s the string to be searched. - * @param[in] c the character to look for. - * @return the index of the first occurrence character in the string or - * −1 is the character is not present. - * - * \e c is converted to upper case before search \e s. Therefore, it is - * intended that \e s should not contain any lower case letters. - **********************************************************************/ - static int lookup(const std::string& s, char c) { - std::string::size_type r = s.find(char(toupper(c))); - return r == std::string::npos ? -1 : int(r); - } - - /** - * Lookup up a character in a char*. - * - * @param[in] s the char* string to be searched. - * @param[in] c the character to look for. - * @return the index of the first occurrence character in the string or - * −1 is the character is not present. - * - * \e c is converted to upper case before search \e s. Therefore, it is - * intended that \e s should not contain any lower case letters. - **********************************************************************/ - static int lookup(const char* s, char c) { - const char* p = std::strchr(s, toupper(c)); - return p != NULL ? int(p - s) : -1; - } - - /** - * Read data of type ExtT from a binary stream to an array of type IntT. - * The data in the file is in (bigendp ? big : little)-endian format. - * - * @tparam ExtT the type of the objects in the binary stream (external). - * @tparam IntT the type of the objects in the array (internal). - * @tparam bigendp true if the external storage format is big-endian. - * @param[in] str the input stream containing the data of type ExtT - * (external). - * @param[out] array the output array of type IntT (internal). - * @param[in] num the size of the array. - * @exception GeographicErr if the data cannot be read. - **********************************************************************/ - template - static void readarray(std::istream& str, IntT array[], size_t num) { -#if GEOGRAPHICLIB_PRECISION < 4 - if (sizeof(IntT) == sizeof(ExtT) && - std::numeric_limits::is_integer == - std::numeric_limits::is_integer) - { - // Data is compatible (aside from the issue of endian-ness). - str.read(reinterpret_cast(array), num * sizeof(ExtT)); - if (!str.good()) - throw GeographicErr("Failure reading data"); - if (bigendp != Math::bigendian) { // endian mismatch -> swap bytes - for (size_t i = num; i--;) - array[i] = Math::swab(array[i]); - } - } - else -#endif - { - const int bufsize = 1024; // read this many values at a time - ExtT buffer[bufsize]; // temporary buffer - int k = int(num); // data values left to read - int i = 0; // index into output array - while (k) { - int n = (std::min)(k, bufsize); - str.read(reinterpret_cast(buffer), n * sizeof(ExtT)); - if (!str.good()) - throw GeographicErr("Failure reading data"); - for (int j = 0; j < n; ++j) - // fix endian-ness and cast to IntT - array[i++] = IntT(bigendp == Math::bigendian ? buffer[j] : - Math::swab(buffer[j])); - k -= n; - } - } - return; - } - - /** - * Read data of type ExtT from a binary stream to a vector array of type - * IntT. The data in the file is in (bigendp ? big : little)-endian - * format. - * - * @tparam ExtT the type of the objects in the binary stream (external). - * @tparam IntT the type of the objects in the array (internal). - * @tparam bigendp true if the external storage format is big-endian. - * @param[in] str the input stream containing the data of type ExtT - * (external). - * @param[out] array the output vector of type IntT (internal). - * @exception GeographicErr if the data cannot be read. - **********************************************************************/ - template - static void readarray(std::istream& str, std::vector& array) { - if (array.size() > 0) - readarray(str, &array[0], array.size()); - } - - /** - * Write data in an array of type IntT as type ExtT to a binary stream. - * The data in the file is in (bigendp ? big : little)-endian format. - * - * @tparam ExtT the type of the objects in the binary stream (external). - * @tparam IntT the type of the objects in the array (internal). - * @tparam bigendp true if the external storage format is big-endian. - * @param[out] str the output stream for the data of type ExtT (external). - * @param[in] array the input array of type IntT (internal). - * @param[in] num the size of the array. - * @exception GeographicErr if the data cannot be written. - **********************************************************************/ - template - static void writearray(std::ostream& str, const IntT array[], size_t num) - { -#if GEOGRAPHICLIB_PRECISION < 4 - if (sizeof(IntT) == sizeof(ExtT) && - std::numeric_limits::is_integer == - std::numeric_limits::is_integer && - bigendp == Math::bigendian) - { - // Data is compatible (including endian-ness). - str.write(reinterpret_cast(array), num * sizeof(ExtT)); - if (!str.good()) - throw GeographicErr("Failure writing data"); - } - else -#endif - { - const int bufsize = 1024; // write this many values at a time - ExtT buffer[bufsize]; // temporary buffer - int k = int(num); // data values left to write - int i = 0; // index into output array - while (k) { - int n = (std::min)(k, bufsize); - for (int j = 0; j < n; ++j) - // cast to ExtT and fix endian-ness - buffer[j] = bigendp == Math::bigendian ? ExtT(array[i++]) : - Math::swab(ExtT(array[i++])); - str.write(reinterpret_cast(buffer), n * sizeof(ExtT)); - if (!str.good()) - throw GeographicErr("Failure writing data"); - k -= n; - } - } - return; - } - - /** - * Write data in an array of type IntT as type ExtT to a binary stream. - * The data in the file is in (bigendp ? big : little)-endian format. - * - * @tparam ExtT the type of the objects in the binary stream (external). - * @tparam IntT the type of the objects in the array (internal). - * @tparam bigendp true if the external storage format is big-endian. - * @param[out] str the output stream for the data of type ExtT (external). - * @param[in] array the input vector of type IntT (internal). - * @exception GeographicErr if the data cannot be written. - **********************************************************************/ - template - static void writearray(std::ostream& str, std::vector& array) { - if (array.size() > 0) - writearray(str, &array[0], array.size()); - } - - /** - * Parse a KEY VALUE line. - * - * @param[in] line the input line. - * @param[out] key the key. - * @param[out] val the value. - * @exception std::bad_alloc if memory for the internal strings can't be - * allocated. - * @return whether a key was found. - * - * A # character and everything after it are discarded. If the result is - * just white space, the routine returns false (and \e key and \e val are - * not set). Otherwise the first token is taken to be the key and the rest - * of the line (trimmed of leading and trailing white space) is the value. - **********************************************************************/ - static bool ParseLine(const std::string& line, - std::string& key, std::string& val); - - /** - * Set the binary precision of a real number. - * - * @param[in] ndigits the number of bits of precision. If ndigits is 0 - * (the default), then determine the precision from the environment - * variable GEOGRAPHICLIB_DIGITS. If this is undefined, use ndigits = - * 256 (i.e., about 77 decimal digits). - * @return the resulting number of bits of precision. - * - * This only has an effect when GEOGRAPHICLIB_PRECISION = 5. The - * precision should only be set once and before calls to any other - * GeographicLib functions. (Several functions, for example Math::pi(), - * cache the return value in a static local variable. The precision needs - * to be set before a call to any such functions.) In multi-threaded - * applications, it is necessary also to set the precision in each thread - * (see the example GeoidToGTX.cpp). - **********************************************************************/ - static int set_digits(int ndigits = 0); - - }; - - /** - * The specialization of Utility::val() for strings. - **********************************************************************/ - template<> inline std::string Utility::val(const std::string& s) - { return trim(s); } - - /** - * The specialization of Utility::val() for bools. - **********************************************************************/ - template<> inline bool Utility::val(const std::string& s) { - std::string t(trim(s)); - if (t.empty()) return false; - bool x; - std::istringstream is(t); - if (is >> x) { - int pos = int(is.tellg()); // Returns -1 at end of string? - if (!(pos < 0 || pos == int(t.size()))) - throw GeographicErr("Extra text " + t.substr(pos) + - " at end of " + t); - return x; - } - for (std::string::iterator p = t.begin(); p != t.end(); ++p) - *p = char(std::tolower(*p)); - switch (t[0]) { // already checked that t isn't empty - case 'f': - if (t == "f" || t == "false") return false; - break; - case 'n': - if (t == "n" || t == "nil" || t == "no") return false; - break; - case 'o': - if (t == "off") return false; - else if (t == "on") return true; - break; - case 't': - if (t == "t" || t == "true") return true; - break; - case 'y': - if (t == "y" || t == "yes") return true; - break; - } - throw GeographicErr("Cannot decode " + t + " as a bool"); - } - -} // namespace GeographicLib - -#if defined(_MSC_VER) -# pragma warning (pop) -#endif - -#endif // GEOGRAPHICLIB_UTILITY_HPP diff --git a/libs/GeographicLib-1.50.1/include/Makefile.am b/libs/GeographicLib-1.50.1/include/Makefile.am deleted file mode 100644 index 369ca95aa505fe113b67184738c44dd3ffccec29..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/include/Makefile.am +++ /dev/null @@ -1,54 +0,0 @@ -# -# Makefile.am -# -# Copyright (C) 2009, Francesco P. 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install a program, script, or datafile - -scriptversion=2018-03-11.20; # UTC - -# This originates from X11R5 (mit/util/scripts/install.sh), which was -# later released in X11R6 (xc/config/util/install.sh) with the -# following copyright and license. -# -# Copyright (C) 1994 X Consortium -# -# Permission is hereby granted, free of charge, to any person obtaining a copy -# of this software and associated documentation files (the "Software"), to -# deal in the Software without restriction, including without limitation the -# rights to use, copy, modify, merge, publish, distribute, sublicense, and/or -# sell copies of the Software, and to permit persons to whom the Software is -# furnished to do so, subject to the following conditions: -# -# The above copyright notice and this permission notice shall be included in -# all copies or substantial portions of the Software. -# -# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. 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In this case, the final cleanup might fail but the new - # file should still install successfully. - { - test ! -f "$dst" || - $doit $rmcmd -f "$dst" 2>/dev/null || - { $doit $mvcmd -f "$dst" "$rmtmp" 2>/dev/null && - { $doit $rmcmd -f "$rmtmp" 2>/dev/null; :; } - } || - { echo "$0: cannot unlink or rename $dst" >&2 - (exit 1); exit 1 - } - } && - - # Now rename the file to the real destination. - $doit $mvcmd "$dsttmp" "$dst" - } - fi || exit 1 - - trap '' 0 - fi -done - -# Local variables: -# eval: (add-hook 'before-save-hook 'time-stamp) -# time-stamp-start: "scriptversion=" -# time-stamp-format: "%:y-%02m-%02d.%02H" -# time-stamp-time-zone: "UTC0" -# time-stamp-end: "; # UTC" -# End: diff --git a/libs/GeographicLib-1.50.1/java/README.txt b/libs/GeographicLib-1.50.1/java/README.txt deleted file mode 100644 index f1b4be2efea24471a2bc5ff9296fe140dc8b5516..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/README.txt +++ /dev/null @@ -1,26 +0,0 @@ -This is a Java implementation of the geodesic algorithms described in - - C. F. F. Karney, - Algorithms for geodesics, - J. Geodesy 87, 43-55 (2013); - https://doi.org/10.1007/s00190-012-0578-z - Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - -For documentation, see - - https://geographiclib.sourceforge.io/html/java/ - -The code in this directory is entirely self-contained. In particular, -it does not depend on the C++ classes. You can build the example -programs using, for example, - - cd inverse/src/main/java - javac -cp .:../../../../src/main/java Inverse.java - echo -30 0 29.5 179.5 | java -cp .:../../../../src/main/java Inverse - -On Windows, change this to - cd inverse\src\main\java - javac -cp .;../../../../src/main/java Inverse.java - echo -30 0 29.5 179.5 | java -cp .;../../../../src/main/java Inverse - -Building with maven is also supported (see the documentation). diff --git a/libs/GeographicLib-1.50.1/java/direct/pom.xml b/libs/GeographicLib-1.50.1/java/direct/pom.xml deleted file mode 100644 index f9f1ffbc0220ce7898bef4570281e61ba127b43c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/direct/pom.xml +++ /dev/null @@ -1,88 +0,0 @@ - - - 4.0.0 - - net.sf.geographiclib.example - Direct - Direct - 1.50-SNAPSHOT - - jar - - - . - 1.6 - 2.9 - UTF-8 - 2.3.2 - 2.4 - 2.8 - 3.0 - - - - - net.sf.geographiclib - GeographicLib-Java - 1.50 - - - - - - - org.apache.maven.plugins - maven-compiler-plugin - ${maven-compiler-plugin.version} - - ${java.version} - ${java.version} - - - - - org.apache.maven.plugins - maven-surefire-plugin - ${surefire-plugin.version} - - false - - - - - org.apache.maven.plugins - maven-javadoc-plugin - ${maven-javadoc.version} - - public - true - - - - attach-javadocs - - jar - - - - - - - org.codehaus.mojo - exec-maven-plugin - 1.2.1 - - Direct - - - - - - - - - diff --git a/libs/GeographicLib-1.50.1/java/direct/src/main/java/Direct.java b/libs/GeographicLib-1.50.1/java/direct/src/main/java/Direct.java deleted file mode 100644 index f644349098b00a89ac96cc6a1dbfcab5c6d1f49f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/direct/src/main/java/Direct.java +++ /dev/null @@ -1,27 +0,0 @@ -/** - * A test program for the GeographicLib.Geodesic.Direct method - **********************************************************************/ - -import java.util.*; -import net.sf.geographiclib.*; -public class Direct { -/** - * Solve the direct geodesic problem. - * - * This program reads in lines with lat1, lon1, azi1, s12 and prints out lines - * with lat2, lon2, azi2 (for the WGS84 ellipsoid). - **********************************************************************/ - public static void main(String[] args) { - try { - Scanner in = new Scanner(System.in); - double lat1, lon1, azi1, s12; - while (true) { - lat1 = in.nextDouble(); lon1 = in.nextDouble(); - azi1 = in.nextDouble(); s12 = in.nextDouble(); - GeodesicData g = Geodesic.WGS84.Direct(lat1, lon1, azi1, s12); - System.out.println(g.lat2 + " " + g.lon2 + " " + g.azi2); - } - } - catch (Exception e) {} - } -} diff --git a/libs/GeographicLib-1.50.1/java/inverse/pom.xml b/libs/GeographicLib-1.50.1/java/inverse/pom.xml deleted file mode 100644 index 1e010b678ce199889cc605cf5c4d67646eb7cc13..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/inverse/pom.xml +++ /dev/null @@ -1,88 +0,0 @@ - - - 4.0.0 - - net.sf.geographiclib.example - Inverse - Inverse - 1.50-SNAPSHOT - - jar - - - . - 1.6 - 2.9 - UTF-8 - 2.3.2 - 2.4 - 2.8 - 3.0 - - - - - net.sf.geographiclib - GeographicLib-Java - 1.50 - - - - - - - org.apache.maven.plugins - maven-compiler-plugin - ${maven-compiler-plugin.version} - - ${java.version} - ${java.version} - - - - - org.apache.maven.plugins - maven-surefire-plugin - ${surefire-plugin.version} - - false - - - - - org.apache.maven.plugins - maven-javadoc-plugin - ${maven-javadoc.version} - - public - true - - - - attach-javadocs - - jar - - - - - - - org.codehaus.mojo - exec-maven-plugin - 1.2.1 - - Inverse - - - - - - - - - diff --git a/libs/GeographicLib-1.50.1/java/inverse/src/main/java/Inverse.java b/libs/GeographicLib-1.50.1/java/inverse/src/main/java/Inverse.java deleted file mode 100644 index 51abce1e860491db52f437a9db4654848662a7e9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/inverse/src/main/java/Inverse.java +++ /dev/null @@ -1,27 +0,0 @@ -/** - * A test program for the GeographicLib.Geodesic.Inverse method - **********************************************************************/ - -import java.util.*; -import net.sf.geographiclib.*; -/** - * Solve the inverse geodesic problem. - * - * This program reads in lines with lat1, lon1, lat2, lon2 and prints out lines - * with azi1, azi2, s12 (for the WGS84 ellipsoid). - **********************************************************************/ -public class Inverse { - public static void main(String[] args) { - try { - Scanner in = new Scanner(System.in); - double lat1, lon1, lat2, lon2; - while (true) { - lat1 = in.nextDouble(); lon1 = in.nextDouble(); - lat2 = in.nextDouble(); lon2 = in.nextDouble(); - GeodesicData g = Geodesic.WGS84.Inverse(lat1, lon1, lat2, lon2); - System.out.println(g.azi1 + " " + g.azi2 + " " + g.s12); - } - } - catch (Exception e) {} - } -} diff --git a/libs/GeographicLib-1.50.1/java/planimeter/pom.xml b/libs/GeographicLib-1.50.1/java/planimeter/pom.xml deleted file mode 100644 index 91d69bdedf998e92e6e8c691dd8a2a590f354243..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/planimeter/pom.xml +++ /dev/null @@ -1,88 +0,0 @@ - - - 4.0.0 - - net.sf.geographiclib.example - Planimeter - Planimeter - 1.50-SNAPSHOT - - jar - - - . - 1.6 - 2.9 - UTF-8 - 2.3.2 - 2.4 - 2.8 - 3.0 - - - - - net.sf.geographiclib - GeographicLib-Java - 1.50 - - - - - - - org.apache.maven.plugins - maven-compiler-plugin - ${maven-compiler-plugin.version} - - ${java.version} - ${java.version} - - - - - org.apache.maven.plugins - maven-surefire-plugin - ${surefire-plugin.version} - - false - - - - - org.apache.maven.plugins - maven-javadoc-plugin - ${maven-javadoc.version} - - public - true - - - - attach-javadocs - - jar - - - - - - - org.codehaus.mojo - exec-maven-plugin - 1.2.1 - - Planimeter - - - - - - - - - diff --git a/libs/GeographicLib-1.50.1/java/planimeter/src/main/java/Planimeter.java b/libs/GeographicLib-1.50.1/java/planimeter/src/main/java/Planimeter.java deleted file mode 100644 index 5ceb07eb53dd0efa9398deab34740e53176e4da0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/planimeter/src/main/java/Planimeter.java +++ /dev/null @@ -1,28 +0,0 @@ -/** - * A test program for the GeographicLib.PolygonArea class - **********************************************************************/ - -import java.util.*; -import net.sf.geographiclib.*; -/** - * Compute the area of a geodesic polygon. - * - * This program reads lines with lat, lon for each vertex of a polygon. At the - * end of input, the program prints the number of vertices, the perimeter of - * the polygon and its area (for the WGS84 ellipsoid). - **********************************************************************/ -public class Planimeter { - public static void main(String[] args) { - PolygonArea p = new PolygonArea(Geodesic.WGS84, false); - try { - Scanner in = new Scanner(System.in); - while (true) { - double lat = in.nextDouble(), lon = in.nextDouble(); - p.AddPoint(lat, lon); - } - } - catch (Exception e) {} - PolygonResult r = p.Compute(); - System.out.println(r.num + " " + r.perimeter + " " + r.area); - } -} diff --git a/libs/GeographicLib-1.50.1/java/pom.xml b/libs/GeographicLib-1.50.1/java/pom.xml deleted file mode 100644 index 9f4043a5775083c5f36bd07c606258a952d3cba7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/pom.xml +++ /dev/null @@ -1,179 +0,0 @@ - - - 4.0.0 - - net.sf.geographiclib - GeographicLib-Java - 1.50 - - jar - - - - The MIT License(MIT) - http://opensource.org/licenses/MIT - - - - Java implementation of GeographicLib - - This is a Java implementation of the geodesic algorithms from - GeographicLib. This is a self-contained library which makes it - easy to do geodesic computations for an ellipsoid of revolution in - a Java program. It requires Java version 1.1 or later. - - https://geographiclib.sourceforge.io - - - - Charles Karney - charles@karney.com - - - https://sourceforge.net/u/karney/profile/ - - - - - - . - 1.6 - 2.9 - UTF-8 - 2.3.2 - 2.4 - 2.8 - 3.0 - - - - - - org.apache.maven.plugins - maven-compiler-plugin - ${maven-compiler-plugin.version} - - ${java.version} - ${java.version} - - - - - org.apache.maven.plugins - maven-surefire-plugin - ${surefire-plugin.version} - - false - - - - - - - - - release - - - - - org.apache.maven.plugins - maven-javadoc-plugin - ${maven-javadoc.version} - - public - true - - - - attach-javadocs - - jar - - - - - - - org.apache.maven.plugins - maven-source-plugin - 2.2.1 - - - attach-sources - - jar-no-fork - - - - - - - org.sonatype.plugins - nexus-staging-maven-plugin - 1.6.3 - true - - ossrh - https://oss.sonatype.org/ - true - - - - - org.apache.maven.plugins - maven-gpg-plugin - 1.5 - - - sign-artifacts - verify - - sign - - - - - - - - - - - - - ossrh - https://oss.sonatype.org/content/repositories/snapshots - - - ossrh - https://oss.sonatype.org/service/local/staging/deploy/maven2 - - - - - - scm:git://git.code.sourceforge.net/p/geographiclib/code - - - scm:git:https://git.code.sourceforge.net/p/geographiclib/code - - - https://sourceforge.net/p/geographiclib/code/ci/master/tree/ - - - - - - junit - junit - 4.12 - test - - - - diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Accumulator.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Accumulator.java deleted file mode 100644 index 4d7c6cbc770672b25bad5f9f6f82b42b1831511d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Accumulator.java +++ /dev/null @@ -1,124 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.Accumulator class - * - * Copyright (c) Charles Karney (2013-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * An accumulator for sums. - *

- * This allow many double precision numbers to be added together with twice the - * normal precision. Thus the effective precision of the sum is 106 bits or - * about 32 decimal places. - *

- * The implementation follows J. R. Shewchuk, - * Adaptive Precision - * Floating-Point Arithmetic and Fast Robust Geometric Predicates, - * Discrete & Computational Geometry 18(3) 305–363 (1997). - *

- * In the documentation of the member functions, sum stands for the - * value currently held in the accumulator. - ***********************************************************************/ -public class Accumulator { - // _s + _t accumulators for the sum. - private double _s, _t; - /** - * Construct from a double. - *

- * @param y set sum = y. - **********************************************************************/ - public Accumulator(double y) { _s = y; _t = 0; } - /** - * Construct from another Accumulator. - *

- * @param a set sum = a. - **********************************************************************/ - public Accumulator(Accumulator a) { _s = a._s; _t = a._t; } - /** - * Set the value to a double. - *

- * @param y set sum = y. - **********************************************************************/ - public void Set(double y) { _s = y; _t = 0; } - /** - * Return the value held in the accumulator. - *

- * @return sum. - **********************************************************************/ - public double Sum() { return _s; } - /** - * Return the result of adding a number to sum (but don't change - * sum). - *

- * @param y the number to be added to the sum. - * @return sum + y. - **********************************************************************/ - public double Sum(double y) { - Accumulator a = new Accumulator(this); - a.Add(y); - return a._s; - } - /** - * Add a number to the accumulator. - *

- * @param y set sum += y. - **********************************************************************/ - public void Add(double y) { - // Here's Shewchuk's solution... - double u; // hold exact sum as [s, t, u] - // Accumulate starting at least significant end - { Pair r = GeoMath.sum(y, _t); y = r.first; u = r.second; } - { Pair r = GeoMath.sum(y, _s); _s = r.first; _t = r.second; } - // Start is _s, _t decreasing and non-adjacent. Sum is now (s + t + u) - // exactly with s, t, u non-adjacent and in decreasing order (except for - // possible zeros). The following code tries to normalize the result. - // Ideally, we want _s = round(s+t+u) and _u = round(s+t+u - _s). The - // following does an approximate job (and maintains the decreasing - // non-adjacent property). Here are two "failures" using 3-bit floats: - // - // Case 1: _s is not equal to round(s+t+u) -- off by 1 ulp - // [12, -1] - 8 -> [4, 0, -1] -> [4, -1] = 3 should be [3, 0] = 3 - // - // Case 2: _s+_t is not as close to s+t+u as it shold be - // [64, 5] + 4 -> [64, 8, 1] -> [64, 8] = 72 (off by 1) - // should be [80, -7] = 73 (exact) - // - // "Fixing" these problems is probably not worth the expense. The - // representation inevitably leads to small errors in the accumulated - // values. The additional errors illustrated here amount to 1 ulp of the - // less significant word during each addition to the Accumulator and an - // additional possible error of 1 ulp in the reported sum. - // - // Incidentally, the "ideal" representation described above is not - // canonical, because _s = round(_s + _t) may not be true. For example, - // with 3-bit floats: - // - // [128, 16] + 1 -> [160, -16] -- 160 = round(145). - // But [160, 0] - 16 -> [128, 16] -- 128 = round(144). - // - if (_s == 0) // This implies t == 0, - _s = u; // so result is u - else - _t += u; // otherwise just accumulate u to t. - } - /** - * Negate an accumulator. - *

- * Set sum = −sum. - **********************************************************************/ - public void Negate() { _s = -_s; _t = -_t; } - /** - * Take the remainder. - *

- * @param y the modulus - *

- * Put sum in the rangle [−y, y]. - **********************************************************************/ - public void Remainder(double y) { - _s = GeoMath.remainder(_s, y); - Add(0.0); // renormalize - } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Constants.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Constants.java deleted file mode 100644 index 217047115ff4de474116b7fe047668a85e697425..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Constants.java +++ /dev/null @@ -1,26 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.Constants class - * - * Copyright (c) Charles Karney (2013) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * Constants needed by GeographicLib. - *

- * Define constants specifying the WGS84 ellipsoid. - ***********************************************************************/ -public class Constants { - /** - * The equatorial radius of WGS84 ellipsoid (6378137 m). - **********************************************************************/ - public static final double WGS84_a = 6378137; - /** - * The flattening of WGS84 ellipsoid (1/298.257223563). - **********************************************************************/ - public static final double WGS84_f = 1/298.257223563; - - private Constants() {} -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeoMath.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeoMath.java deleted file mode 100644 index 13c2b079ef410d9071a82889093da192e8ca1a06..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeoMath.java +++ /dev/null @@ -1,264 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.GeoMath class - * - * Copyright (c) Charles Karney (2013-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * Mathematical functions needed by GeographicLib. - *

- * Define mathematical functions and constants so that any version of Java - * can be used. - **********************************************************************/ -public class GeoMath { - /** - * The number of binary digits in the fraction of a double precision - * number (equivalent to C++'s {@code numeric_limits::digits}). - **********************************************************************/ - public static final int digits = 53; - - /** - * Square a number. - *

- * @param x the argument. - * @return x2. - **********************************************************************/ - public static double sq(double x) { return x * x; } - - /** - * The inverse hyperbolic tangent function. This is defined in terms of - * Math.log1p(x) in order to maintain accuracy near x = 0. - * In addition, the odd parity of the function is enforced. - *

- * @param x the argument. - * @return atanh(x). - **********************************************************************/ - public static double atanh(double x) { - double y = Math.abs(x); // Enforce odd parity - y = Math.log1p(2 * y/(1 - y))/2; - return x > 0 ? y : (x < 0 ? -y : x); - } - - /** - * Normalize a sine cosine pair. - *

- * @param sinx the sine. - * @param cosx the cosine. - * @return a Pair of normalized quantities with sinx2 + - * cosx2 = 1. - **********************************************************************/ - public static Pair norm(double sinx, double cosx) { - double r = Math.hypot(sinx, cosx); - return new Pair(sinx/r, cosx/r); - } - - /** - * The error-free sum of two numbers. - *

- * @param u the first number in the sum. - * @param v the second number in the sum. - * @return Pair(s, t) with s = round(u + - * v) and t = u + v - s. - *

- * See D. E. Knuth, TAOCP, Vol 2, 4.2.2, Theorem B. - **********************************************************************/ - public static Pair sum(double u, double v) { - double s = u + v; - double up = s - v; - double vpp = s - up; - up -= u; - vpp -= v; - double t = -(up + vpp); - // u + v = s + t - // = round(u + v) + t - return new Pair(s, t); - } - - /** - * Evaluate a polynomial. - *

- * @param N the order of the polynomial. - * @param p the coefficient array (of size N + s + 1 or more). - * @param s starting index for the array. - * @param x the variable. - * @return the value of the polynomial. - * - * Evaluate y = ∑n=0..N - * ps+n - * xN−n. Return 0 if N < 0. - * Return ps, if N = 0 (even if x is - * infinite or a nan). The evaluation uses Horner's method. - **********************************************************************/ - public static double polyval(int N, double p[], int s, double x) { - double y = N < 0 ? 0 : p[s++]; - while (--N >= 0) y = y * x + p[s++]; - return y; - } - - /** - * Coarsen a value close to zero. - *

- * @param x the argument - * @return the coarsened value. - *

- * This makes the smallest gap in x = 1/16 − nextafter(1/16, 0) - * = 1/257 for reals = 0.7 pm on the earth if x is an angle - * in degrees. (This is about 1000 times more resolution than we get with - * angles around 90 degrees.) We use this to avoid having to deal with near - * singular cases when x is non-zero but tiny (e.g., - * 10−200). This converts −0 to +0; however tiny - * negative numbers get converted to −0. - **********************************************************************/ - public static double AngRound(double x) { - final double z = 1/16.0; - if (x == 0) return 0; - double y = Math.abs(x); - // The compiler mustn't "simplify" z - (z - y) to y - y = y < z ? z - (z - y) : y; - return x < 0 ? -y : y; - } - - /** - * The remainder function. - *

- * @param x the numerator of the division - * @param y the denominator of the division - * @return the remainder in the range [−y/2, y/2]. - *

- * The range of x is unrestricted; y must be positive. - **********************************************************************/ - public static double remainder(double x, double y) { - x = x % y; - return x < -y/2 ? x + y : (x < y/2 ? x : x - y); - } - - /** - * Normalize an angle. - *

- * @param x the angle in degrees. - * @return the angle reduced to the range [−180°, 180°). - *

- * The range of x is unrestricted. - **********************************************************************/ - public static double AngNormalize(double x) { - x = remainder(x, 360.0); - return x == -180 ? 180 : x; - } - - /** - * Normalize a latitude. - *

- * @param x the angle in degrees. - * @return x if it is in the range [−90°, 90°], otherwise - * return NaN. - **********************************************************************/ - public static double LatFix(double x) { - return Math.abs(x) > 90 ? Double.NaN : x; - } - - /** - * The exact difference of two angles reduced to (−180°, 180°]. - *

- * @param x the first angle in degrees. - * @param y the second angle in degrees. - * @return Pair(d, e) with d being the rounded - * difference and e being the error. - *

- * The computes z = y − x exactly, reduced to - * (−180°, 180°]; and then sets z = d + e - * where d is the nearest representable number to z and - * e is the truncation error. If d = −180, then e - * > 0; If d = 180, then e ≤ 0. - **********************************************************************/ - public static Pair AngDiff(double x, double y) { - double d, t; - { - Pair r = sum(AngNormalize(-x), AngNormalize(y)); - d = AngNormalize(r.first); t = r.second; - } - return sum(d == 180 && t > 0 ? -180 : d, t); - } - - /** - * Evaluate the sine and cosine function with the argument in degrees - * - * @param x in degrees. - * @return Pair(s, t) with s = sin(x) and - * c = cos(x). - * - * The results obey exactly the elementary properties of the trigonometric - * functions, e.g., sin 9° = cos 81° = − sin 123456789°. - **********************************************************************/ - public static Pair sincosd(double x) { - // In order to minimize round-off errors, this function exactly reduces - // the argument to the range [-45, 45] before converting it to radians. - double r; int q; - r = x % 360.0; - q = (int)Math.round(r / 90); // If r is NaN this returns 0 - r -= 90 * q; - // now abs(r) <= 45 - r = Math.toRadians(r); - // Possibly could call the gnu extension sincos - double s = Math.sin(r), c = Math.cos(r); - double sinx, cosx; - switch (q & 3) { - case 0: sinx = s; cosx = c; break; - case 1: sinx = c; cosx = -s; break; - case 2: sinx = -s; cosx = -c; break; - default: sinx = -c; cosx = s; break; // case 3 - } - if (x != 0) { sinx += 0.0; cosx += 0.0; } - return new Pair(sinx, cosx); - } - - /** - * Evaluate the atan2 function with the result in degrees - * - * @param y the sine of the angle - * @param x the cosine of the angle - * @return atan2(y, x) in degrees. - * - * The result is in the range (−180° 180°]. N.B., - * atan2d(±0, −1) = +180°; atan2d(−ε, - * −1) = −180°, for ε positive and tiny; - * atan2d(±0, 1) = ±0°. - **********************************************************************/ - public static double atan2d(double y, double x) { - // In order to minimize round-off errors, this function rearranges the - // arguments so that result of atan2 is in the range [-pi/4, pi/4] before - // converting it to degrees and mapping the result to the correct - // quadrant. - int q = 0; - if (Math.abs(y) > Math.abs(x)) { double t; t = x; x = y; y = t; q = 2; } - if (x < 0) { x = -x; ++q; } - // here x >= 0 and x >= abs(y), so angle is in [-pi/4, pi/4] - double ang = Math.toDegrees(Math.atan2(y, x)); - switch (q) { - // Note that atan2d(-0.0, 1.0) will return -0. However, we expect that - // atan2d will not be called with y = -0. If need be, include - // - // case 0: ang = 0 + ang; break; - // - // and handle mpfr as in AngRound. - case 1: ang = (y >= 0 ? 180 : -180) - ang; break; - case 2: ang = 90 - ang; break; - case 3: ang = -90 + ang; break; - } - return ang; - } - - /** - * Test for finiteness. - *

- * @param x the argument. - * @return true if number is finite, false if NaN or infinite. - **********************************************************************/ - public static boolean isfinite(double x) { - return Math.abs(x) <= Double.MAX_VALUE; - } - - private GeoMath() {} -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Geodesic.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Geodesic.java deleted file mode 100644 index fc75ecd066875aeed1b1e437ebf6af626a68c798..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Geodesic.java +++ /dev/null @@ -1,1910 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.Geodesic class - * - * Copyright (c) Charles Karney (2013-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * Geodesic calculations. - *

- * The shortest path between two points on a ellipsoid at (lat1, - * lon1) and (lat2, lon2) is called the geodesic. Its - * length is s12 and the geodesic from point 1 to point 2 has azimuths - * azi1 and azi2 at the two end points. (The azimuth is the - * heading measured clockwise from north. azi2 is the "forward" - * azimuth, i.e., the heading that takes you beyond point 2 not back to point - * 1.) - *

- * Given lat1, lon1, azi1, and s12, we can - * determine lat2, lon2, and azi2. This is the - * direct geodesic problem and its solution is given by the function - * {@link #Direct Direct}. (If s12 is sufficiently large that the - * geodesic wraps more than halfway around the earth, there will be another - * geodesic between the points with a smaller s12.) - *

- * Given lat1, lon1, lat2, and lon2, we can - * determine azi1, azi2, and s12. This is the - * inverse geodesic problem, whose solution is given by {@link #Inverse - * Inverse}. Usually, the solution to the inverse problem is unique. In cases - * where there are multiple solutions (all with the same s12, of - * course), all the solutions can be easily generated once a particular - * solution is provided. - *

- * The standard way of specifying the direct problem is the specify the - * distance s12 to the second point. However it is sometimes useful - * instead to specify the arc length a12 (in degrees) on the auxiliary - * sphere. This is a mathematical construct used in solving the geodesic - * problems. The solution of the direct problem in this form is provided by - * {@link #ArcDirect ArcDirect}. An arc length in excess of 180° indicates - * that the geodesic is not a shortest path. In addition, the arc length - * between an equatorial crossing and the next extremum of latitude for a - * geodesic is 90°. - *

- * This class can also calculate several other quantities related to - * geodesics. These are: - *

    - *
  • - * reduced length. If we fix the first point and increase - * azi1 by dazi1 (radians), the second point is displaced - * m12 dazi1 in the direction azi2 + 90°. The - * quantity m12 is called the "reduced length" and is symmetric under - * interchange of the two points. On a curved surface the reduced length - * obeys a symmetry relation, m12 + m21 = 0. On a flat - * surface, we have m12 = s12. The ratio s12/m12 - * gives the azimuthal scale for an azimuthal equidistant projection. - *
  • - * geodesic scale. Consider a reference geodesic and a second - * geodesic parallel to this one at point 1 and separated by a small distance - * dt. The separation of the two geodesics at point 2 is M12 - * dt where M12 is called the "geodesic scale". M21 is - * defined similarly (with the geodesics being parallel at point 2). On a - * flat surface, we have M12 = M21 = 1. The quantity - * 1/M12 gives the scale of the Cassini-Soldner projection. - *
  • - * area. The area between the geodesic from point 1 to point 2 and - * the equation is represented by S12; it is the area, measured - * counter-clockwise, of the geodesic quadrilateral with corners - * (lat1,lon1), (0,lon1), (0,lon2), and - * (lat2,lon2). It can be used to compute the area of any - * geodesic polygon. - *
- *

- * The quantities m12, M12, M21 which all specify the - * behavior of nearby geodesics obey addition rules. If points 1, 2, and 3 all - * lie on a single geodesic, then the following rules hold: - *

    - *
  • - * s13 = s12 + s23 - *
  • - * a13 = a12 + a23 - *
  • - * S13 = S12 + S23 - *
  • - * m13 = m12 M23 + m23 M21 - *
  • - * M13 = M12 M23 − (1 − M12 - * M21) m23 / m12 - *
  • - * M31 = M32 M21 − (1 − M23 - * M32) m12 / m23 - *
- *

- * The results of the geodesic calculations are bundled up into a {@link - * GeodesicData} object which includes the input parameters and all the - * computed results, i.e., lat1, lon1, azi1, lat2, - * lon2, azi2, s12, a12, m12, M12, - * M21, S12. - *

- * The functions {@link #Direct(double, double, double, double, int) Direct}, - * {@link #ArcDirect(double, double, double, double, int) ArcDirect}, and - * {@link #Inverse(double, double, double, double, int) Inverse} include an - * optional final argument outmask which allows you specify which - * results should be computed and returned. If you omit outmask, then - * the "standard" geodesic results are computed (latitudes, longitudes, - * azimuths, and distance). outmask is bitor'ed combination of {@link - * GeodesicMask} values. For example, if you wish just to compute the distance - * between two points you would call, e.g., - * 

- * {@code
- *  GeodesicData g = Geodesic.WGS84.Inverse(lat1, lon1, lat2, lon2,
- *                      GeodesicMask.DISTANCE); }
- *

- * Additional functionality is provided by the {@link GeodesicLine} class, - * which allows a sequence of points along a geodesic to be computed. - *

- * The shortest distance returned by the solution of the inverse problem is - * (obviously) uniquely defined. However, in a few special cases there are - * multiple azimuths which yield the same shortest distance. Here is a - * catalog of those cases: - *

    - *
  • - * lat1 = −lat2 (with neither point at a pole). If - * azi1 = azi2, the geodesic is unique. Otherwise there are - * two geodesics and the second one is obtained by setting [azi1, - * azi2] → [azi2, azi1], [M12, M21] - * → [M21, M12], S12 → −S12. - * (This occurs when the longitude difference is near ±180° for - * oblate ellipsoids.) - *
  • - * lon2 = lon1 ± 180° (with neither point at a - * pole). If azi1 = 0° or ±180°, the geodesic is - * unique. Otherwise there are two geodesics and the second one is obtained - * by setting [ azi1, azi2] → [−azi1, - * −azi2], S12 → − S12. (This occurs - * when lat2 is near −lat1 for prolate ellipsoids.) - *
  • - * Points 1 and 2 at opposite poles. There are infinitely many geodesics - * which can be generated by setting [azi1, azi2] → - * [azi1, azi2] + [d, −d], for arbitrary - * d. (For spheres, this prescription applies when points 1 and 2 are - * antipodal.) - *
  • - * s12 = 0 (coincident points). There are infinitely many geodesics - * which can be generated by setting [azi1, azi2] → - * [azi1, azi2] + [d, d], for arbitrary d. - *
- *

- * The calculations are accurate to better than 15 nm (15 nanometers) for the - * WGS84 ellipsoid. See Sec. 9 of - * arXiv:1102.1215v1 for - * details. The algorithms used by this class are based on series expansions - * using the flattening f as a small parameter. These are only accurate - * for |f| < 0.02; however reasonably accurate results will be - * obtained for |f| < 0.2. Here is a table of the approximate - * maximum error (expressed as a distance) for an ellipsoid with the same - * equatorial radius as the WGS84 ellipsoid and different values of the - * flattening.

- *     |f|      error
- *     0.01     25 nm
- *     0.02     30 nm
- *     0.05     10 um
- *     0.1     1.5 mm
- *     0.2     300 mm
- *

- * The algorithms are described in - *

- *

- * Example of use: - * 

- * {@code
- * // Solve the direct geodesic problem.
- *
- * // This program reads in lines with lat1, lon1, azi1, s12 and prints
- * // out lines with lat2, lon2, azi2 (for the WGS84 ellipsoid).
- *
- * import java.util.*;
- * import net.sf.geographiclib.*;
- * public class Direct {
- *   public static void main(String[] args) {
- *     try {
- *       Scanner in = new Scanner(System.in);
- *       double lat1, lon1, azi1, s12;
- *       while (true) {
- *         lat1 = in.nextDouble(); lon1 = in.nextDouble();
- *         azi1 = in.nextDouble(); s12 = in.nextDouble();
- *         GeodesicData g = Geodesic.WGS84.Direct(lat1, lon1, azi1, s12);
- *         System.out.println(g.lat2 + " " + g.lon2 + " " + g.azi2);
- *       }
- *     }
- *     catch (Exception e) {}
- *   }
- * }}
- **********************************************************************/ -public class Geodesic { - - /** - * The order of the expansions used by Geodesic. - **********************************************************************/ - protected static final int GEOGRAPHICLIB_GEODESIC_ORDER = 6; - - protected static final int nA1_ = GEOGRAPHICLIB_GEODESIC_ORDER; - protected static final int nC1_ = GEOGRAPHICLIB_GEODESIC_ORDER; - protected static final int nC1p_ = GEOGRAPHICLIB_GEODESIC_ORDER; - protected static final int nA2_ = GEOGRAPHICLIB_GEODESIC_ORDER; - protected static final int nC2_ = GEOGRAPHICLIB_GEODESIC_ORDER; - protected static final int nA3_ = GEOGRAPHICLIB_GEODESIC_ORDER; - protected static final int nA3x_ = nA3_; - protected static final int nC3_ = GEOGRAPHICLIB_GEODESIC_ORDER; - protected static final int nC3x_ = (nC3_ * (nC3_ - 1)) / 2; - protected static final int nC4_ = GEOGRAPHICLIB_GEODESIC_ORDER; - protected static final int nC4x_ = (nC4_ * (nC4_ + 1)) / 2; - private static final int maxit1_ = 20; - private static final int maxit2_ = maxit1_ + GeoMath.digits + 10; - - // Underflow guard. We require - // tiny_ * epsilon() > 0 - // tiny_ + epsilon() == epsilon() - protected static final double tiny_ = Math.sqrt(Double.MIN_NORMAL); - private static final double tol0_ = Math.ulp(1.0); - // Increase multiplier in defn of tol1_ from 100 to 200 to fix inverse case - // 52.784459512564 0 -52.784459512563990912 179.634407464943777557 - // which otherwise failed for Visual Studio 10 (Release and Debug) - private static final double tol1_ = 200 * tol0_; - private static final double tol2_ = Math.sqrt(tol0_); - // Check on bisection interval - private static final double tolb_ = tol0_ * tol2_; - private static final double xthresh_ = 1000 * tol2_; - - protected double _a, _f, _f1, _e2, _ep2, _b, _c2; - private double _n, _etol2; - private double _A3x[], _C3x[], _C4x[]; - - /** - * Constructor for a ellipsoid with - *

- * @param a equatorial radius (meters). - * @param f flattening of ellipsoid. Setting f = 0 gives a sphere. - * Negative f gives a prolate ellipsoid. - * @exception GeographicErr if a or (1 − f ) a is - * not positive. - **********************************************************************/ - public Geodesic(double a, double f) { - _a = a; - _f = f; - _f1 = 1 - _f; - _e2 = _f * (2 - _f); - _ep2 = _e2 / GeoMath.sq(_f1); // e2 / (1 - e2) - _n = _f / ( 2 - _f); - _b = _a * _f1; - _c2 = (GeoMath.sq(_a) + GeoMath.sq(_b) * - (_e2 == 0 ? 1 : - (_e2 > 0 ? GeoMath.atanh(Math.sqrt(_e2)) : - Math.atan(Math.sqrt(-_e2))) / - Math.sqrt(Math.abs(_e2))))/2; // authalic radius squared - // The sig12 threshold for "really short". Using the auxiliary sphere - // solution with dnm computed at (bet1 + bet2) / 2, the relative error in - // the azimuth consistency check is sig12^2 * abs(f) * min(1, 1-f/2) / 2. - // (Error measured for 1/100 < b/a < 100 and abs(f) >= 1/1000. For a - // given f and sig12, the max error occurs for lines near the pole. If - // the old rule for computing dnm = (dn1 + dn2)/2 is used, then the error - // increases by a factor of 2.) Setting this equal to epsilon gives - // sig12 = etol2. Here 0.1 is a safety factor (error decreased by 100) - // and max(0.001, abs(f)) stops etol2 getting too large in the nearly - // spherical case. - _etol2 = 0.1 * tol2_ / - Math.sqrt( Math.max(0.001, Math.abs(_f)) * - Math.min(1.0, 1 - _f/2) / 2 ); - if (!(GeoMath.isfinite(_a) && _a > 0)) - throw new GeographicErr("Equatorial radius is not positive"); - if (!(GeoMath.isfinite(_b) && _b > 0)) - throw new GeographicErr("Polar semi-axis is not positive"); - _A3x = new double[nA3x_]; - _C3x = new double[nC3x_]; - _C4x = new double[nC4x_]; - - A3coeff(); - C3coeff(); - C4coeff(); - } - - /** - * Solve the direct geodesic problem where the length of the geodesic - * is specified in terms of distance. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @return a {@link GeodesicData} object with the following fields: - * lat1, lon1, azi1, lat2, lon2, - * azi2, s12, a12. - *

- * lat1 should be in the range [−90°, 90°]. The values - * of lon2 and azi2 returned are in the range [−180°, - * 180°]. - *

- * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - **********************************************************************/ - public GeodesicData Direct(double lat1, double lon1, - double azi1, double s12) { - return Direct(lat1, lon1, azi1, false, s12, GeodesicMask.STANDARD); - } - /** - * Solve the direct geodesic problem where the length of the geodesic is - * specified in terms of distance and with a subset of the geodesic results - * returned. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param outmask a bitor'ed combination of {@link GeodesicMask} values - * specifying which results should be returned. - * @return a {@link GeodesicData} object with the fields specified by - * outmask computed. - *

- * lat1, lon1, azi1, s12, and a12 are - * always included in the returned result. The value of lon2 returned - * is in the range [−180°, 180°], unless the outmask - * includes the {@link GeodesicMask#LONG_UNROLL} flag. - **********************************************************************/ - public GeodesicData Direct(double lat1, double lon1, - double azi1, double s12, int outmask) { - return Direct(lat1, lon1, azi1, false, s12, outmask); - } - - /** - * Solve the direct geodesic problem where the length of the geodesic - * is specified in terms of arc length. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @return a {@link GeodesicData} object with the following fields: - * lat1, lon1, azi1, lat2, lon2, - * azi2, s12, a12. - *

- * lat1 should be in the range [−90°, 90°]. The values - * of lon2 and azi2 returned are in the range [−180°, - * 180°]. - *

- * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing lat = ±(90° − ε), - * and taking the limit ε → 0+. An arc length greater that - * 180° signifies a geodesic which is not a shortest path. (For a - * prolate ellipsoid, an additional condition is necessary for a shortest - * path: the longitudinal extent must not exceed of 180°.) - **********************************************************************/ - public GeodesicData ArcDirect(double lat1, double lon1, - double azi1, double a12) { - return Direct(lat1, lon1, azi1, true, a12, GeodesicMask.STANDARD); - } - - /** - * Solve the direct geodesic problem where the length of the geodesic is - * specified in terms of arc length and with a subset of the geodesic results - * returned. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param outmask a bitor'ed combination of {@link GeodesicMask} values - * specifying which results should be returned. - * @return a {@link GeodesicData} object with the fields specified by - * outmask computed. - *

- * lat1, lon1, azi1, and a12 are always included - * in the returned result. The value of lon2 returned is in the range - * [−180°, 180°], unless the outmask includes the {@link - * GeodesicMask#LONG_UNROLL} flag. - **********************************************************************/ - public GeodesicData ArcDirect(double lat1, double lon1, - double azi1, double a12, int outmask) { - return Direct(lat1, lon1, azi1, true, a12, outmask); - } - - /** - * The general direct geodesic problem. {@link #Direct Direct} and - * {@link #ArcDirect ArcDirect} are defined in terms of this function. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param arcmode boolean flag determining the meaning of the - * s12_a12. - * @param s12_a12 if arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param outmask a bitor'ed combination of {@link GeodesicMask} values - * specifying which results should be returned. - * @return a {@link GeodesicData} object with the fields specified by - * outmask computed. - *

- * The {@link GeodesicMask} values possible for outmask are - *

    - *
  • - * outmask |= {@link GeodesicMask#LATITUDE} for the latitude - * lat2; - *
  • - * outmask |= {@link GeodesicMask#LONGITUDE} for the latitude - * lon2; - *
  • - * outmask |= {@link GeodesicMask#AZIMUTH} for the latitude - * azi2; - *
  • - * outmask |= {@link GeodesicMask#DISTANCE} for the distance - * s12; - *
  • - * outmask |= {@link GeodesicMask#REDUCEDLENGTH} for the reduced - * length m12; - *
  • - * outmask |= {@link GeodesicMask#GEODESICSCALE} for the geodesic - * scales M12 and M21; - *
  • - * outmask |= {@link GeodesicMask#AREA} for the area S12; - *
  • - * outmask |= {@link GeodesicMask#ALL} for all of the above; - *
  • - * outmask |= {@link GeodesicMask#LONG_UNROLL}, if set then - * lon1 is unchanged and lon2 − lon1 indicates - * how many times and in what sense the geodesic encircles the ellipsoid. - * Otherwise lon1 and lon2 are both reduced to the range - * [−180°, 180°]. - *
- *

- * The function value a12 is always computed and returned and this - * equals s12_a12 is arcmode is true. If outmask - * includes {@link GeodesicMask#DISTANCE} and arcmode is false, then - * s12 = s12_a12. It is not necessary to include {@link - * GeodesicMask#DISTANCE_IN} in outmask; this is automatically - * included is arcmode is false. - **********************************************************************/ - public GeodesicData Direct(double lat1, double lon1, double azi1, - boolean arcmode, double s12_a12, int outmask) { - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) outmask |= GeodesicMask.DISTANCE_IN; - return new GeodesicLine(this, lat1, lon1, azi1, outmask) - . // Note the dot! - Position(arcmode, s12_a12, outmask); - } - - /** - * Define a {@link GeodesicLine} in terms of the direct geodesic problem - * specified in terms of distance with all capabilities included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @return a {@link GeodesicLine} object. - *

- * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - *

- * lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - public GeodesicLine DirectLine(double lat1, double lon1, double azi1, - double s12) { - return DirectLine(lat1, lon1, azi1, s12, GeodesicMask.ALL); - } - - /** - * Define a {@link GeodesicLine} in terms of the direct geodesic problem - * specified in terms of distance with a subset of the capabilities included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param s12 distance between point 1 and point 2 (meters); it can be - * negative. - * @param caps bitor'ed combination of {@link GeodesicMask} values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * {@link GeodesicLine#Position GeodesicLine.Position}. - * @return a {@link GeodesicLine} object. - *

- * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - *

- * lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - public GeodesicLine DirectLine(double lat1, double lon1, double azi1, - double s12, int caps) { - return GenDirectLine(lat1, lon1, azi1, false, s12, caps); - } - - /** - * Define a {@link GeodesicLine} in terms of the direct geodesic problem - * specified in terms of arc length with all capabilities included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @return a {@link GeodesicLine} object. - *

- * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - *

- * lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - public GeodesicLine ArcDirectLine(double lat1, double lon1, double azi1, - double a12) { - return ArcDirectLine(lat1, lon1, azi1, a12, GeodesicMask.ALL); - } - - /** - * Define a {@link GeodesicLine} in terms of the direct geodesic problem - * specified in terms of arc length with a subset of the capabilities - * included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param a12 arc length between point 1 and point 2 (degrees); it can - * be negative. - * @param caps bitor'ed combination of {@link GeodesicMask} values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * {@link GeodesicLine#Position GeodesicLine.Position}. - * @return a {@link GeodesicLine} object. - *

- * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - *

- * lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - public GeodesicLine ArcDirectLine(double lat1, double lon1, double azi1, - double a12, int caps) { - return GenDirectLine(lat1, lon1, azi1, true, a12, caps); - } - - /** - * Define a {@link GeodesicLine} in terms of the direct geodesic problem - * specified in terms of either distance or arc length with a subset of the - * capabilities included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param arcmode boolean flag determining the meaning of the s12_a12. - * @param s12_a12 if arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param caps bitor'ed combination of {@link GeodesicMask} values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to - * {@link GeodesicLine#Position GeodesicLine.Position}. - * @return a {@link GeodesicLine} object. - *

- * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the direct geodesic problem. - *

- * lat1 should be in the range [−90°, 90°]. - **********************************************************************/ - public GeodesicLine GenDirectLine(double lat1, double lon1, double azi1, - boolean arcmode, double s12_a12, int caps) - { - azi1 = GeoMath.AngNormalize(azi1); - double salp1, calp1; - // Guard against underflow in salp0. Also -0 is converted to +0. - { Pair p = GeoMath.sincosd(GeoMath.AngRound(azi1)); - salp1 = p.first; calp1 = p.second; } - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) caps |= GeodesicMask.DISTANCE_IN; - return new GeodesicLine(this, lat1, lon1, azi1, salp1, calp1, - caps, arcmode, s12_a12); - } - - /** - * Solve the inverse geodesic problem. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param lat2 latitude of point 2 (degrees). - * @param lon2 longitude of point 2 (degrees). - * @return a {@link GeodesicData} object with the following fields: - * lat1, lon1, azi1, lat2, lon2, - * azi2, s12, a12. - *

- * lat1 and lat2 should be in the range [−90°, - * 90°]. The values of azi1 and azi2 returned are in the - * range [−180°, 180°]. - *

- * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing lat = ±(90° − ε), - * taking the limit ε → 0+. - *

- * The solution to the inverse problem is found using Newton's method. If - * this fails to converge (this is very unlikely in geodetic applications - * but does occur for very eccentric ellipsoids), then the bisection method - * is used to refine the solution. - **********************************************************************/ - public GeodesicData Inverse(double lat1, double lon1, - double lat2, double lon2) { - return Inverse(lat1, lon1, lat2, lon2, GeodesicMask.STANDARD); - } - - private class InverseData { - private GeodesicData g; - private double salp1, calp1, salp2, calp2; - private InverseData() { - g = new GeodesicData(); - salp1 = calp1 = salp2 = calp2 = Double.NaN; - } - } - - private InverseData InverseInt(double lat1, double lon1, - double lat2, double lon2, int outmask) { - InverseData result = new InverseData(); - GeodesicData r = result.g; - // Compute longitude difference (AngDiff does this carefully). Result is - // in [-180, 180] but -180 is only for west-going geodesics. 180 is for - // east-going and meridional geodesics. - r.lat1 = lat1 = GeoMath.LatFix(lat1); r.lat2 = lat2 = GeoMath.LatFix(lat2); - // If really close to the equator, treat as on equator. - lat1 = GeoMath.AngRound(lat1); - lat2 = GeoMath.AngRound(lat2); - double lon12, lon12s; - { - Pair p = GeoMath.AngDiff(lon1, lon2); - lon12 = p.first; lon12s = p.second; - } - if ((outmask & GeodesicMask.LONG_UNROLL) != 0) { - r.lon1 = lon1; r.lon2 = (lon1 + lon12) + lon12s; - } else { - r.lon1 = GeoMath.AngNormalize(lon1); r.lon2 = GeoMath.AngNormalize(lon2); - } - // Make longitude difference positive. - int lonsign = lon12 >= 0 ? 1 : -1; - // If very close to being on the same half-meridian, then make it so. - lon12 = lonsign * GeoMath.AngRound(lon12); - lon12s = GeoMath.AngRound((180 - lon12) - lonsign * lon12s); - double - lam12 = Math.toRadians(lon12), slam12, clam12; - { Pair p = GeoMath.sincosd(lon12 > 90 ? lon12s : lon12); - slam12 = p.first; clam12 = (lon12 > 90 ? -1 : 1) * p.second; } - - // Swap points so that point with higher (abs) latitude is point 1 - // If one latitude is a nan, then it becomes lat1. - int swapp = Math.abs(lat1) < Math.abs(lat2) ? -1 : 1; - if (swapp < 0) { - lonsign *= -1; - { double t = lat1; lat1 = lat2; lat2 = t; } - } - // Make lat1 <= 0 - int latsign = lat1 < 0 ? 1 : -1; - lat1 *= latsign; - lat2 *= latsign; - // Now we have - // - // 0 <= lon12 <= 180 - // -90 <= lat1 <= 0 - // lat1 <= lat2 <= -lat1 - // - // longsign, swapp, latsign register the transformation to bring the - // coordinates to this canonical form. In all cases, 1 means no change was - // made. We make these transformations so that there are few cases to - // check, e.g., on verifying quadrants in atan2. In addition, this - // enforces some symmetries in the results returned. - - double sbet1, cbet1, sbet2, cbet2, s12x, m12x; - s12x = m12x = Double.NaN; - - { Pair p = GeoMath.sincosd(lat1); - sbet1 = _f1 * p.first; cbet1 = p.second; } - // Ensure cbet1 = +epsilon at poles; doing the fix on beta means that sig12 - // will be <= 2*tiny for two points at the same pole. - { Pair p = GeoMath.norm(sbet1, cbet1); sbet1 = p.first; cbet1 = p.second; } - cbet1 = Math.max(tiny_, cbet1); - - { Pair p = GeoMath.sincosd(lat2); - sbet2 = _f1 * p.first; cbet2 = p.second; } - // Ensure cbet2 = +epsilon at poles - { Pair p = GeoMath.norm(sbet2, cbet2); sbet2 = p.first; cbet2 = p.second; } - cbet2 = Math.max(tiny_, cbet2); - - // If cbet1 < -sbet1, then cbet2 - cbet1 is a sensitive measure of the - // |bet1| - |bet2|. Alternatively (cbet1 >= -sbet1), abs(sbet2) + sbet1 is - // a better measure. This logic is used in assigning calp2 in Lambda12. - // Sometimes these quantities vanish and in that case we force bet2 = +/- - // bet1 exactly. An example where is is necessary is the inverse problem - // 48.522876735459 0 -48.52287673545898293 179.599720456223079643 - // which failed with Visual Studio 10 (Release and Debug) - - if (cbet1 < -sbet1) { - if (cbet2 == cbet1) - sbet2 = sbet2 < 0 ? sbet1 : -sbet1; - } else { - if (Math.abs(sbet2) == -sbet1) - cbet2 = cbet1; - } - - double - dn1 = Math.sqrt(1 + _ep2 * GeoMath.sq(sbet1)), - dn2 = Math.sqrt(1 + _ep2 * GeoMath.sq(sbet2)); - - double a12, sig12, calp1, salp1, calp2, salp2; - a12 = sig12 = calp1 = salp1 = calp2 = salp2 = Double.NaN; - // index zero elements of these arrays are unused - double C1a[] = new double[nC1_ + 1]; - double C2a[] = new double[nC2_ + 1]; - double C3a[] = new double[nC3_]; - - boolean meridian = lat1 == -90 || slam12 == 0; - - if (meridian) { - - // Endpoints are on a single full meridian, so the geodesic might lie on - // a meridian. - - calp1 = clam12; salp1 = slam12; // Head to the target longitude - calp2 = 1; salp2 = 0; // At the target we're heading north - - double - // tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1, csig1 = calp1 * cbet1, - ssig2 = sbet2, csig2 = calp2 * cbet2; - - // sig12 = sig2 - sig1 - sig12 = Math.atan2(Math.max(0.0, csig1 * ssig2 - ssig1 * csig2), - csig1 * csig2 + ssig1 * ssig2); - { - LengthsV v = - Lengths(_n, sig12, ssig1, csig1, dn1, - ssig2, csig2, dn2, cbet1, cbet2, - outmask | GeodesicMask.DISTANCE | GeodesicMask.REDUCEDLENGTH, - C1a, C2a); - s12x = v.s12b; m12x = v.m12b; - if ((outmask & GeodesicMask.GEODESICSCALE) != 0) { - r.M12 = v.M12; r.M21 = v.M21; - } - } - // Add the check for sig12 since zero length geodesics might yield m12 < - // 0. Test case was - // - // echo 20.001 0 20.001 0 | GeodSolve -i - // - // In fact, we will have sig12 > pi/2 for meridional geodesic which is - // not a shortest path. - if (sig12 < 1 || m12x >= 0) { - // Need at least 2, to handle 90 0 90 180 - if (sig12 < 3 * tiny_) - sig12 = m12x = s12x = 0; - m12x *= _b; - s12x *= _b; - a12 = Math.toDegrees(sig12); - } else - // m12 < 0, i.e., prolate and too close to anti-podal - meridian = false; - } - - double omg12 = Double.NaN, somg12 = 2, comg12 = Double.NaN; - if (!meridian && - sbet1 == 0 && // and sbet2 == 0 - // Mimic the way Lambda12 works with calp1 = 0 - (_f <= 0 || lon12s >= _f * 180)) { - - // Geodesic runs along equator - calp1 = calp2 = 0; salp1 = salp2 = 1; - s12x = _a * lam12; - sig12 = omg12 = lam12 / _f1; - m12x = _b * Math.sin(sig12); - if ((outmask & GeodesicMask.GEODESICSCALE) != 0) - r.M12 = r.M21 = Math.cos(sig12); - a12 = lon12 / _f1; - - } else if (!meridian) { - - // Now point1 and point2 belong within a hemisphere bounded by a - // meridian and geodesic is neither meridional or equatorial. - - // Figure a starting point for Newton's method - double dnm; - { - InverseStartV v = - InverseStart(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - lam12, slam12, clam12, - C1a, C2a); - sig12 = v.sig12; - salp1 = v.salp1; calp1 = v.calp1; - salp2 = v.salp2; calp2 = v.calp2; - dnm = v.dnm; - } - - if (sig12 >= 0) { - // Short lines (InverseStart sets salp2, calp2, dnm) - s12x = sig12 * _b * dnm; - m12x = GeoMath.sq(dnm) * _b * Math.sin(sig12 / dnm); - if ((outmask & GeodesicMask.GEODESICSCALE) != 0) - r.M12 = r.M21 = Math.cos(sig12 / dnm); - a12 = Math.toDegrees(sig12); - omg12 = lam12 / (_f1 * dnm); - } else { - - // Newton's method. This is a straightforward solution of f(alp1) = - // lambda12(alp1) - lam12 = 0 with one wrinkle. f(alp) has exactly one - // root in the interval (0, pi) and its derivative is positive at the - // root. Thus f(alp) is positive for alp > alp1 and negative for alp < - // alp1. During the course of the iteration, a range (alp1a, alp1b) is - // maintained which brackets the root and with each evaluation of - // f(alp) the range is shrunk, if possible. Newton's method is - // restarted whenever the derivative of f is negative (because the new - // value of alp1 is then further from the solution) or if the new - // estimate of alp1 lies outside (0,pi); in this case, the new starting - // guess is taken to be (alp1a + alp1b) / 2. - double ssig1, csig1, ssig2, csig2, eps, domg12; - ssig1 = csig1 = ssig2 = csig2 = eps = domg12 = Double.NaN; - int numit = 0; - // Bracketing range - double salp1a = tiny_, calp1a = 1, salp1b = tiny_, calp1b = -1; - for (boolean tripn = false, tripb = false; numit < maxit2_; ++numit) { - // the WGS84 test set: mean = 1.47, sd = 1.25, max = 16 - // WGS84 and random input: mean = 2.85, sd = 0.60 - double v, dv; - { - Lambda12V w = - Lambda12(sbet1, cbet1, dn1, sbet2, cbet2, dn2, salp1, calp1, - slam12, clam12, numit < maxit1_, C1a, C2a, C3a); - v = w.lam12; - salp2 = w.salp2; calp2 = w.calp2; - sig12 = w.sig12; - ssig1 = w.ssig1; csig1 = w.csig1; - ssig2 = w.ssig2; csig2 = w.csig2; - eps = w.eps; domg12 = w.domg12; - dv = w.dlam12; - } - // 2 * tol0 is approximately 1 ulp for a number in [0, pi]. - // Reversed test to allow escape with NaNs - if (tripb || !(Math.abs(v) >= (tripn ? 8 : 1) * tol0_)) break; - // Update bracketing values - if (v > 0 && (numit > maxit1_ || calp1/salp1 > calp1b/salp1b)) - { salp1b = salp1; calp1b = calp1; } - else if (v < 0 && (numit > maxit1_ || calp1/salp1 < calp1a/salp1a)) - { salp1a = salp1; calp1a = calp1; } - if (numit < maxit1_ && dv > 0) { - double - dalp1 = -v/dv; - double - sdalp1 = Math.sin(dalp1), cdalp1 = Math.cos(dalp1), - nsalp1 = salp1 * cdalp1 + calp1 * sdalp1; - if (nsalp1 > 0 && Math.abs(dalp1) < Math.PI) { - calp1 = calp1 * cdalp1 - salp1 * sdalp1; - salp1 = nsalp1; - { Pair p = GeoMath.norm(salp1, calp1); - salp1 = p.first; calp1 = p.second; } - // In some regimes we don't get quadratic convergence because - // slope -> 0. So use convergence conditions based on epsilon - // instead of sqrt(epsilon). - tripn = Math.abs(v) <= 16 * tol0_; - continue; - } - } - // Either dv was not positive or updated value was outside legal - // range. Use the midpoint of the bracket as the next estimate. - // This mechanism is not needed for the WGS84 ellipsoid, but it does - // catch problems with more eccentric ellipsoids. Its efficacy is - // such for the WGS84 test set with the starting guess set to alp1 = - // 90deg: - // the WGS84 test set: mean = 5.21, sd = 3.93, max = 24 - // WGS84 and random input: mean = 4.74, sd = 0.99 - salp1 = (salp1a + salp1b)/2; - calp1 = (calp1a + calp1b)/2; - { Pair p = GeoMath.norm(salp1, calp1); - salp1 = p.first; calp1 = p.second; } - tripn = false; - tripb = (Math.abs(salp1a - salp1) + (calp1a - calp1) < tolb_ || - Math.abs(salp1 - salp1b) + (calp1 - calp1b) < tolb_); - } - { - // Ensure that the reduced length and geodesic scale are computed in - // a "canonical" way, with the I2 integral. - int lengthmask = outmask | - ((outmask & - (GeodesicMask.REDUCEDLENGTH | GeodesicMask.GEODESICSCALE)) != 0 ? - GeodesicMask.DISTANCE : GeodesicMask.NONE); - LengthsV v = - Lengths(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, cbet1, cbet2, - lengthmask, C1a, C2a); - s12x = v.s12b; m12x = v.m12b; - if ((outmask & GeodesicMask.GEODESICSCALE) != 0) { - r.M12 = v.M12; r.M21 = v.M21; - } - } - m12x *= _b; - s12x *= _b; - a12 = Math.toDegrees(sig12); - if ((outmask & GeodesicMask.AREA) != 0) { - // omg12 = lam12 - domg12 - double sdomg12 = Math.sin(domg12), cdomg12 = Math.cos(domg12); - somg12 = slam12 * cdomg12 - clam12 * sdomg12; - comg12 = clam12 * cdomg12 + slam12 * sdomg12; - } - } - } - - if ((outmask & GeodesicMask.DISTANCE) != 0) - r.s12 = 0 + s12x; // Convert -0 to 0 - - if ((outmask & GeodesicMask.REDUCEDLENGTH) != 0) - r.m12 = 0 + m12x; // Convert -0 to 0 - - if ((outmask & GeodesicMask.AREA) != 0) { - double - // From Lambda12: sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1, - calp0 = Math.hypot(calp1, salp1 * sbet1); // calp0 > 0 - double alp12; - if (calp0 != 0 && salp0 != 0) { - double - // From Lambda12: tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1, csig1 = calp1 * cbet1, - ssig2 = sbet2, csig2 = calp2 * cbet2, - k2 = GeoMath.sq(calp0) * _ep2, - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2), - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0). - A4 = GeoMath.sq(_a) * calp0 * salp0 * _e2; - { Pair p = GeoMath.norm(ssig1, csig1); - ssig1 = p.first; csig1 = p.second; } - { Pair p = GeoMath.norm(ssig2, csig2); - ssig2 = p.first; csig2 = p.second; } - double C4a[] = new double[nC4_]; - C4f(eps, C4a); - double - B41 = SinCosSeries(false, ssig1, csig1, C4a), - B42 = SinCosSeries(false, ssig2, csig2, C4a); - r.S12 = A4 * (B42 - B41); - } else - // Avoid problems with indeterminate sig1, sig2 on equator - r.S12 = 0; - - if (!meridian && somg12 > 1) { - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } - - if (!meridian && - comg12 > -0.7071 && // Long difference not too big - sbet2 - sbet1 < 1.75) { // Lat difference not too big - // Use tan(Gamma/2) = tan(omg12/2) - // * (tan(bet1/2)+tan(bet2/2))/(1+tan(bet1/2)*tan(bet2/2)) - // with tan(x/2) = sin(x)/(1+cos(x)) - double - domg12 = 1 + comg12, dbet1 = 1 + cbet1, dbet2 = 1 + cbet2; - alp12 = 2 * Math.atan2( somg12 * ( sbet1 * dbet2 + sbet2 * dbet1 ), - domg12 * ( sbet1 * sbet2 + dbet1 * dbet2 ) ); - } else { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - double - salp12 = salp2 * calp1 - calp2 * salp1, - calp12 = calp2 * calp1 + salp2 * salp1; - // The right thing appears to happen if alp1 = +/-180 and alp2 = 0, viz - // salp12 = -0 and alp12 = -180. However this depends on the sign - // being attached to 0 correctly. The following ensures the correct - // behavior. - if (salp12 == 0 && calp12 < 0) { - salp12 = tiny_ * calp1; - calp12 = -1; - } - alp12 = Math.atan2(salp12, calp12); - } - r.S12 += _c2 * alp12; - r.S12 *= swapp * lonsign * latsign; - // Convert -0 to 0 - r.S12 += 0; - } - - // Convert calp, salp to azimuth accounting for lonsign, swapp, latsign. - if (swapp < 0) { - { double t = salp1; salp1 = salp2; salp2 = t; } - { double t = calp1; calp1 = calp2; calp2 = t; } - if ((outmask & GeodesicMask.GEODESICSCALE) != 0) - { double t = r.M12; r.M12 = r.M21; r.M21 = t; } - } - - salp1 *= swapp * lonsign; calp1 *= swapp * latsign; - salp2 *= swapp * lonsign; calp2 *= swapp * latsign; - - // Returned value in [0, 180] - r.a12 = a12; - result.salp1 = salp1; result.calp1 = calp1; - result.salp2 = salp2; result.calp2 = calp2; - return result; - } - - /** - * Solve the inverse geodesic problem with a subset of the geodesic results - * returned. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param lat2 latitude of point 2 (degrees). - * @param lon2 longitude of point 2 (degrees). - * @param outmask a bitor'ed combination of {@link GeodesicMask} values - * specifying which results should be returned. - * @return a {@link GeodesicData} object with the fields specified by - * outmask computed. - *

- * The {@link GeodesicMask} values possible for outmask are - *

    - *
  • - * outmask |= {@link GeodesicMask#DISTANCE} for the distance - * s12; - *
  • - * outmask |= {@link GeodesicMask#AZIMUTH} for the latitude - * azi2; - *
  • - * outmask |= {@link GeodesicMask#REDUCEDLENGTH} for the reduced - * length m12; - *
  • - * outmask |= {@link GeodesicMask#GEODESICSCALE} for the geodesic - * scales M12 and M21; - *
  • - * outmask |= {@link GeodesicMask#AREA} for the area S12; - *
  • - * outmask |= {@link GeodesicMask#ALL} for all of the above. - *
  • - * outmask |= {@link GeodesicMask#LONG_UNROLL}, if set then - * lon1 is unchanged and lon2 − lon1 indicates - * whether the geodesic is east going or west going. Otherwise lon1 - * and lon2 are both reduced to the range [−180°, - * 180°]. - *
- *

- * lat1, lon1, lat2, lon2, and a12 are - * always included in the returned result. - **********************************************************************/ - public GeodesicData Inverse(double lat1, double lon1, - double lat2, double lon2, int outmask) { - outmask &= GeodesicMask.OUT_MASK; - InverseData result = InverseInt(lat1, lon1, lat2, lon2, outmask); - GeodesicData r = result.g; - if ((outmask & GeodesicMask.AZIMUTH) != 0) { - r.azi1 = GeoMath.atan2d(result.salp1, result.calp1); - r.azi2 = GeoMath.atan2d(result.salp2, result.calp2); - } - return r; - } - - /** - * Define a {@link GeodesicLine} in terms of the inverse geodesic problem - * with all capabilities included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param lat2 latitude of point 2 (degrees). - * @param lon2 longitude of point 2 (degrees). - * @return a {@link GeodesicLine} object. - *

- * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the inverse geodesic problem. - *

- * lat1 and lat2 should be in the range [−90°, - * 90°]. - **********************************************************************/ - public GeodesicLine InverseLine(double lat1, double lon1, - double lat2, double lon2) { - return InverseLine(lat1, lon1, lat2, lon2, GeodesicMask.ALL); - } - - /** - * Define a {@link GeodesicLine} in terms of the inverse geodesic problem - * with a subset of the capabilities included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param lat2 latitude of point 2 (degrees). - * @param lon2 longitude of point 2 (degrees). - * @param caps bitor'ed combination of {@link GeodesicMask} values specifying - * the capabilities the GeodesicLine object should possess, i.e., which - * quantities can be returned in calls to - * {@link GeodesicLine#Position GeodesicLine.Position}. - * @return a {@link GeodesicLine} object. - *

- * This function sets point 3 of the GeodesicLine to correspond to point 2 - * of the inverse geodesic problem. - *

- * lat1 and lat2 should be in the range [−90°, - * 90°]. - **********************************************************************/ - public GeodesicLine InverseLine(double lat1, double lon1, - double lat2, double lon2, int caps) { - InverseData result = InverseInt(lat1, lon1, lat2, lon2, 0); - double salp1 = result.salp1, calp1 = result.calp1, - azi1 = GeoMath.atan2d(salp1, calp1), a12 = result.g.a12; - // Ensure that a12 can be converted to a distance - if ((caps & (GeodesicMask.OUT_MASK & GeodesicMask.DISTANCE_IN)) != 0) - caps |= GeodesicMask.DISTANCE; - return new GeodesicLine(this, lat1, lon1, azi1, salp1, calp1, caps, - true, a12); - } - - /** - * Set up to compute several points on a single geodesic with all - * capabilities included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @return a {@link GeodesicLine} object. - *

- * lat1 should be in the range [−90°, 90°]. The full - * set of capabilities is included. - *

- * If the point is at a pole, the azimuth is defined by keeping the - * lon1 fixed, writing lat1 = ±(90 − ε), - * taking the limit ε → 0+. - **********************************************************************/ - public GeodesicLine Line(double lat1, double lon1, double azi1) { - return Line(lat1, lon1, azi1, GeodesicMask.ALL); - } - /** - * Set up to compute several points on a single geodesic with a subset of the - * capabilities included. - *

- * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param caps bitor'ed combination of {@link GeodesicMask} values specifying - * the capabilities the {@link GeodesicLine} object should possess, i.e., - * which quantities can be returned in calls to {@link - * GeodesicLine#Position GeodesicLine.Position}. - * @return a {@link GeodesicLine} object. - *

- * The {@link GeodesicMask} values are - *

    - *
  • - * caps |= {@link GeodesicMask#LATITUDE} for the latitude - * lat2; this is added automatically; - *
  • - * caps |= {@link GeodesicMask#LONGITUDE} for the latitude - * lon2; - *
  • - * caps |= {@link GeodesicMask#AZIMUTH} for the azimuth azi2; - * this is added automatically; - *
  • - * caps |= {@link GeodesicMask#DISTANCE} for the distance - * s12; - *
  • - * caps |= {@link GeodesicMask#REDUCEDLENGTH} for the reduced length - * m12; - *
  • - * caps |= {@link GeodesicMask#GEODESICSCALE} for the geodesic - * scales M12 and M21; - *
  • - * caps |= {@link GeodesicMask#AREA} for the area S12; - *
  • - * caps |= {@link GeodesicMask#DISTANCE_IN} permits the length of - * the geodesic to be given in terms of s12; without this capability - * the length can only be specified in terms of arc length; - *
  • - * caps |= {@link GeodesicMask#ALL} for all of the above. - *
- *

- * If the point is at a pole, the azimuth is defined by keeping lon1 - * fixed, writing lat1 = ±(90 − ε), and taking - * the limit ε → 0+. - **********************************************************************/ - public GeodesicLine Line(double lat1, double lon1, double azi1, int caps) { - return new GeodesicLine(this, lat1, lon1, azi1, caps); - } - - /** - * @return a the equatorial radius of the ellipsoid (meters). This is - * the value used in the constructor. - **********************************************************************/ - public double EquatorialRadius() { return _a; } - - /** - * @return f the flattening of the ellipsoid. This is the - * value used in the constructor. - **********************************************************************/ - public double Flattening() { return _f; } - - /** - * @return total area of ellipsoid in meters2. The area of a - * polygon encircling a pole can be found by adding EllipsoidArea()/2 to - * the sum of S12 for each side of the polygon. - **********************************************************************/ - public double EllipsoidArea() { return 4 * Math.PI * _c2; } - - /** - * @deprecated An old name for {@link #EquatorialRadius()}. - * @return a the equatorial radius of the ellipsoid (meters). - **********************************************************************/ - // @Deprecated - public double MajorRadius() { return EquatorialRadius(); } - - /** - * A global instantiation of Geodesic with the parameters for the WGS84 - * ellipsoid. - **********************************************************************/ - public static final Geodesic WGS84 = - new Geodesic(Constants.WGS84_a, Constants.WGS84_f); - - // This is a reformulation of the geodesic problem. The notation is as - // follows: - // - at a general point (no suffix or 1 or 2 as suffix) - // - phi = latitude - // - beta = latitude on auxiliary sphere - // - omega = longitude on auxiliary sphere - // - lambda = longitude - // - alpha = azimuth of great circle - // - sigma = arc length along great circle - // - s = distance - // - tau = scaled distance (= sigma at multiples of pi/2) - // - at northwards equator crossing - // - beta = phi = 0 - // - omega = lambda = 0 - // - alpha = alpha0 - // - sigma = s = 0 - // - a 12 suffix means a difference, e.g., s12 = s2 - s1. - // - s and c prefixes mean sin and cos - - protected static double SinCosSeries(boolean sinp, - double sinx, double cosx, - double c[]) { - // Evaluate - // y = sinp ? sum(c[i] * sin( 2*i * x), i, 1, n) : - // sum(c[i] * cos((2*i+1) * x), i, 0, n-1) - // using Clenshaw summation. N.B. c[0] is unused for sin series - // Approx operation count = (n + 5) mult and (2 * n + 2) add - int - k = c.length, // Point to one beyond last element - n = k - (sinp ? 1 : 0); - double - ar = 2 * (cosx - sinx) * (cosx + sinx), // 2 * cos(2 * x) - y0 = (n & 1) != 0 ? c[--k] : 0, y1 = 0; // accumulators for sum - // Now n is even - n /= 2; - while (n-- != 0) { - // Unroll loop x 2, so accumulators return to their original role - y1 = ar * y0 - y1 + c[--k]; - y0 = ar * y1 - y0 + c[--k]; - } - return sinp - ? 2 * sinx * cosx * y0 // sin(2 * x) * y0 - : cosx * (y0 - y1); // cos(x) * (y0 - y1) - } - - private class LengthsV { - private double s12b, m12b, m0, M12, M21; - private LengthsV() { - s12b = m12b = m0 = M12 = M21 = Double.NaN; - } - } - - private LengthsV Lengths(double eps, double sig12, - double ssig1, double csig1, double dn1, - double ssig2, double csig2, double dn2, - double cbet1, double cbet2, - int outmask, - // Scratch areas of the right size - double C1a[], double C2a[]) { - // Return m12b = (reduced length)/_b; also calculate s12b = distance/_b, - // and m0 = coefficient of secular term in expression for reduced length. - outmask &= GeodesicMask.OUT_MASK; - LengthsV v = new LengthsV(); // To hold s12b, m12b, m0, M12, M21; - - double m0x = 0, J12 = 0, A1 = 0, A2 = 0; - if ((outmask & (GeodesicMask.DISTANCE | GeodesicMask.REDUCEDLENGTH | - GeodesicMask.GEODESICSCALE)) != 0) { - A1 = A1m1f(eps); - C1f(eps, C1a); - if ((outmask & (GeodesicMask.REDUCEDLENGTH | - GeodesicMask.GEODESICSCALE)) != 0) { - A2 = A2m1f(eps); - C2f(eps, C2a); - m0x = A1 - A2; - A2 = 1 + A2; - } - A1 = 1 + A1; - } - if ((outmask & GeodesicMask.DISTANCE) != 0) { - double B1 = SinCosSeries(true, ssig2, csig2, C1a) - - SinCosSeries(true, ssig1, csig1, C1a); - // Missing a factor of _b - v.s12b = A1 * (sig12 + B1); - if ((outmask & (GeodesicMask.REDUCEDLENGTH | - GeodesicMask.GEODESICSCALE)) != 0) { - double B2 = SinCosSeries(true, ssig2, csig2, C2a) - - SinCosSeries(true, ssig1, csig1, C2a); - J12 = m0x * sig12 + (A1 * B1 - A2 * B2); - } - } else if ((outmask & (GeodesicMask.REDUCEDLENGTH | - GeodesicMask.GEODESICSCALE)) != 0) { - // Assume here that nC1_ >= nC2_ - for (int l = 1; l <= nC2_; ++l) - C2a[l] = A1 * C1a[l] - A2 * C2a[l]; - J12 = m0x * sig12 + (SinCosSeries(true, ssig2, csig2, C2a) - - SinCosSeries(true, ssig1, csig1, C2a)); - } - if ((outmask & GeodesicMask.REDUCEDLENGTH) != 0) { - v.m0 = m0x; - // Missing a factor of _b. - // Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - v.m12b = dn2 * (csig1 * ssig2) - dn1 * (ssig1 * csig2) - - csig1 * csig2 * J12; - } - if ((outmask & GeodesicMask.GEODESICSCALE) != 0) { - double csig12 = csig1 * csig2 + ssig1 * ssig2; - double t = _ep2 * (cbet1 - cbet2) * (cbet1 + cbet2) / (dn1 + dn2); - v.M12 = csig12 + (t * ssig2 - csig2 * J12) * ssig1 / dn1; - v.M21 = csig12 - (t * ssig1 - csig1 * J12) * ssig2 / dn2; - } - return v; - } - - private static double Astroid(double x, double y) { - // Solve k^4+2*k^3-(x^2+y^2-1)*k^2-2*y^2*k-y^2 = 0 for positive root k. - // This solution is adapted from Geocentric::Reverse. - double k; - double - p = GeoMath.sq(x), - q = GeoMath.sq(y), - r = (p + q - 1) / 6; - if ( !(q == 0 && r <= 0) ) { - double - // Avoid possible division by zero when r = 0 by multiplying equations - // for s and t by r^3 and r, resp. - S = p * q / 4, // S = r^3 * s - r2 = GeoMath.sq(r), - r3 = r * r2, - // The discriminant of the quadratic equation for T3. This is zero on - // the evolute curve p^(1/3)+q^(1/3) = 1 - disc = S * (S + 2 * r3); - double u = r; - if (disc >= 0) { - double T3 = S + r3; - // Pick the sign on the sqrt to maximize abs(T3). This minimizes loss - // of precision due to cancellation. The result is unchanged because - // of the way the T is used in definition of u. - T3 += T3 < 0 ? -Math.sqrt(disc) : Math.sqrt(disc); // T3 = (r * t)^3 - // N.B. cbrt always returns the double root. cbrt(-8) = -2. - double T = Math.cbrt(T3); // T = r * t - // T can be zero; but then r2 / T -> 0. - u += T + (T != 0 ? r2 / T : 0); - } else { - // T is complex, but the way u is defined the result is double. - double ang = Math.atan2(Math.sqrt(-disc), -(S + r3)); - // There are three possible cube roots. We choose the root which - // avoids cancellation. Note that disc < 0 implies that r < 0. - u += 2 * r * Math.cos(ang / 3); - } - double - v = Math.sqrt(GeoMath.sq(u) + q), // guaranteed positive - // Avoid loss of accuracy when u < 0. - uv = u < 0 ? q / (v - u) : u + v, // u+v, guaranteed positive - w = (uv - q) / (2 * v); // positive? - // Rearrange expression for k to avoid loss of accuracy due to - // subtraction. Division by 0 not possible because uv > 0, w >= 0. - k = uv / (Math.sqrt(uv + GeoMath.sq(w)) + w); // guaranteed positive - } else { // q == 0 && r <= 0 - // y = 0 with |x| <= 1. Handle this case directly. - // for y small, positive root is k = abs(y)/sqrt(1-x^2) - k = 0; - } - return k; - } - - private class InverseStartV { - private double sig12, salp1, calp1, - // Only updated if return val >= 0 - salp2, calp2, - // Only updated for short lines - dnm; - private InverseStartV() { - sig12 = salp1 = calp1 = salp2 = calp2 = dnm = Double.NaN; - } - } - - private InverseStartV InverseStart(double sbet1, double cbet1, double dn1, - double sbet2, double cbet2, double dn2, - double lam12, - double slam12, double clam12, - // Scratch areas of the right size - double C1a[], double C2a[]) { - // Return a starting point for Newton's method in salp1 and calp1 (function - // value is -1). If Newton's method doesn't need to be used, return also - // salp2 and calp2 and function value is sig12. - - // To hold sig12, salp1, calp1, salp2, calp2, dnm. - InverseStartV w = new InverseStartV(); - w.sig12 = -1; // Return value - double - // bet12 = bet2 - bet1 in [0, pi); bet12a = bet2 + bet1 in (-pi, 0] - sbet12 = sbet2 * cbet1 - cbet2 * sbet1, - cbet12 = cbet2 * cbet1 + sbet2 * sbet1; - double sbet12a = sbet2 * cbet1 + cbet2 * sbet1; - boolean shortline = cbet12 >= 0 && sbet12 < 0.5 && - cbet2 * lam12 < 0.5; - double somg12, comg12; - if (shortline) { - double sbetm2 = GeoMath.sq(sbet1 + sbet2); - // sin((bet1+bet2)/2)^2 - // = (sbet1 + sbet2)^2 / ((sbet1 + sbet2)^2 + (cbet1 + cbet2)^2) - sbetm2 /= sbetm2 + GeoMath.sq(cbet1 + cbet2); - w.dnm = Math.sqrt(1 + _ep2 * sbetm2); - double omg12 = lam12 / (_f1 * w.dnm); - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } else { - somg12 = slam12; comg12 = clam12; - } - - w.salp1 = cbet2 * somg12; - w.calp1 = comg12 >= 0 ? - sbet12 + cbet2 * sbet1 * GeoMath.sq(somg12) / (1 + comg12) : - sbet12a - cbet2 * sbet1 * GeoMath.sq(somg12) / (1 - comg12); - - double - ssig12 = Math.hypot(w.salp1, w.calp1), - csig12 = sbet1 * sbet2 + cbet1 * cbet2 * comg12; - - if (shortline && ssig12 < _etol2) { - // really short lines - w.salp2 = cbet1 * somg12; - w.calp2 = sbet12 - cbet1 * sbet2 * - (comg12 >= 0 ? GeoMath.sq(somg12) / (1 + comg12) : 1 - comg12); - { Pair p = GeoMath.norm(w.salp2, w.calp2); - w.salp2 = p.first; w.calp2 = p.second; } - // Set return value - w.sig12 = Math.atan2(ssig12, csig12); - } else if (Math.abs(_n) > 0.1 || // Skip astroid calc if too eccentric - csig12 >= 0 || - ssig12 >= 6 * Math.abs(_n) * Math.PI * GeoMath.sq(cbet1)) { - // Nothing to do, zeroth order spherical approximation is OK - } else { - // Scale lam12 and bet2 to x, y coordinate system where antipodal point - // is at origin and singular point is at y = 0, x = -1. - double y, lamscale, betscale; - // In C++ volatile declaration needed to fix inverse case - // 56.320923501171 0 -56.320923501171 179.664747671772880215 - // which otherwise fails with g++ 4.4.4 x86 -O3 - double x; - double lam12x = Math.atan2(-slam12, -clam12); // lam12 - pi - if (_f >= 0) { // In fact f == 0 does not get here - // x = dlong, y = dlat - { - double - k2 = GeoMath.sq(sbet1) * _ep2, - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - lamscale = _f * cbet1 * A3f(eps) * Math.PI; - } - betscale = lamscale * cbet1; - - x = lam12x / lamscale; - y = sbet12a / betscale; - } else { // _f < 0 - // x = dlat, y = dlong - double - cbet12a = cbet2 * cbet1 - sbet2 * sbet1, - bet12a = Math.atan2(sbet12a, cbet12a); - double m12b, m0; - // In the case of lon12 = 180, this repeats a calculation made in - // Inverse. - LengthsV v = - Lengths(_n, Math.PI + bet12a, - sbet1, -cbet1, dn1, sbet2, cbet2, dn2, - cbet1, cbet2, GeodesicMask.REDUCEDLENGTH, C1a, C2a); - m12b = v.m12b; m0 = v.m0; - - x = -1 + m12b / (cbet1 * cbet2 * m0 * Math.PI); - betscale = x < -0.01 ? sbet12a / x : - -_f * GeoMath.sq(cbet1) * Math.PI; - lamscale = betscale / cbet1; - y = lam12x / lamscale; - } - - if (y > -tol1_ && x > -1 - xthresh_) { - // strip near cut - if (_f >= 0) { - w.salp1 = Math.min(1.0, -x); - w.calp1 = - Math.sqrt(1 - GeoMath.sq(w.salp1)); - } else { - w.calp1 = Math.max(x > -tol1_ ? 0.0 : -1.0, x); - w.salp1 = Math.sqrt(1 - GeoMath.sq(w.calp1)); - } - } else { - // Estimate alp1, by solving the astroid problem. - // - // Could estimate alpha1 = theta + pi/2, directly, i.e., - // calp1 = y/k; salp1 = -x/(1+k); for _f >= 0 - // calp1 = x/(1+k); salp1 = -y/k; for _f < 0 (need to check) - // - // However, it's better to estimate omg12 from astroid and use - // spherical formula to compute alp1. This reduces the mean number of - // Newton iterations for astroid cases from 2.24 (min 0, max 6) to 2.12 - // (min 0 max 5). The changes in the number of iterations are as - // follows: - // - // change percent - // 1 5 - // 0 78 - // -1 16 - // -2 0.6 - // -3 0.04 - // -4 0.002 - // - // The histogram of iterations is (m = number of iterations estimating - // alp1 directly, n = number of iterations estimating via omg12, total - // number of trials = 148605): - // - // iter m n - // 0 148 186 - // 1 13046 13845 - // 2 93315 102225 - // 3 36189 32341 - // 4 5396 7 - // 5 455 1 - // 6 56 0 - // - // Because omg12 is near pi, estimate work with omg12a = pi - omg12 - double k = Astroid(x, y); - double - omg12a = lamscale * ( _f >= 0 ? -x * k/(1 + k) : -y * (1 + k)/k ); - somg12 = Math.sin(omg12a); comg12 = -Math.cos(omg12a); - // Update spherical estimate of alp1 using omg12 instead of lam12 - w.salp1 = cbet2 * somg12; - w.calp1 = sbet12a - cbet2 * sbet1 * GeoMath.sq(somg12) / (1 - comg12); - } - } - // Sanity check on starting guess. Backwards check allows NaN through. - if (!(w.salp1 <= 0)) - { Pair p = GeoMath.norm(w.salp1, w.calp1); - w.salp1 = p.first; w.calp1 = p.second; } - else { - w.salp1 = 1; w.calp1 = 0; - } - return w; - } - - private class Lambda12V { - private double lam12, salp2, calp2, sig12, ssig1, csig1, ssig2, csig2, - eps, domg12, dlam12; - private Lambda12V() { - lam12 = salp2 = calp2 = sig12 = ssig1 = csig1 = ssig2 = csig2 - = eps = domg12 = dlam12 = Double.NaN; - } - } - - private Lambda12V Lambda12(double sbet1, double cbet1, double dn1, - double sbet2, double cbet2, double dn2, - double salp1, double calp1, - double slam120, double clam120, - boolean diffp, - // Scratch areas of the right size - double C1a[], double C2a[], double C3a[]) { - // Object to hold lam12, salp2, calp2, sig12, ssig1, csig1, ssig2, csig2, - // eps, domg12, dlam12; - - Lambda12V w = new Lambda12V(); - - if (sbet1 == 0 && calp1 == 0) - // Break degeneracy of equatorial line. This case has already been - // handled. - calp1 = -tiny_; - - double - // sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1, - calp0 = Math.hypot(calp1, salp1 * sbet1); // calp0 > 0 - - double somg1, comg1, somg2, comg2, somg12, comg12; - // tan(bet1) = tan(sig1) * cos(alp1) - // tan(omg1) = sin(alp0) * tan(sig1) = tan(omg1)=tan(alp1)*sin(bet1) - w.ssig1 = sbet1; somg1 = salp0 * sbet1; - w.csig1 = comg1 = calp1 * cbet1; - { Pair p = GeoMath.norm(w.ssig1, w.csig1); - w.ssig1 = p.first; w.csig1 = p.second; } - // GeoMath.norm(somg1, comg1); -- don't need to normalize! - - // Enforce symmetries in the case abs(bet2) = -bet1. Need to be careful - // about this case, since this can yield singularities in the Newton - // iteration. - // sin(alp2) * cos(bet2) = sin(alp0) - w.salp2 = cbet2 != cbet1 ? salp0 / cbet2 : salp1; - // calp2 = sqrt(1 - sq(salp2)) - // = sqrt(sq(calp0) - sq(sbet2)) / cbet2 - // and subst for calp0 and rearrange to give (choose positive sqrt - // to give alp2 in [0, pi/2]). - w.calp2 = cbet2 != cbet1 || Math.abs(sbet2) != -sbet1 ? - Math.sqrt(GeoMath.sq(calp1 * cbet1) + - (cbet1 < -sbet1 ? - (cbet2 - cbet1) * (cbet1 + cbet2) : - (sbet1 - sbet2) * (sbet1 + sbet2))) / cbet2 : - Math.abs(calp1); - // tan(bet2) = tan(sig2) * cos(alp2) - // tan(omg2) = sin(alp0) * tan(sig2). - w.ssig2 = sbet2; somg2 = salp0 * sbet2; - w.csig2 = comg2 = w.calp2 * cbet2; - { Pair p = GeoMath.norm(w.ssig2, w.csig2); - w.ssig2 = p.first; w.csig2 = p.second; } - // GeoMath.norm(somg2, comg2); -- don't need to normalize! - - // sig12 = sig2 - sig1, limit to [0, pi] - w.sig12 = Math.atan2(Math.max(0.0, w.csig1 * w.ssig2 - w.ssig1 * w.csig2), - w.csig1 * w.csig2 + w.ssig1 * w.ssig2); - - // omg12 = omg2 - omg1, limit to [0, pi] - somg12 = Math.max(0.0, comg1 * somg2 - somg1 * comg2); - comg12 = comg1 * comg2 + somg1 * somg2; - // eta = omg12 - lam120 - double eta = Math.atan2(somg12 * clam120 - comg12 * slam120, - comg12 * clam120 + somg12 * slam120); - double B312; - double k2 = GeoMath.sq(calp0) * _ep2; - w.eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - C3f(w.eps, C3a); - B312 = (SinCosSeries(true, w.ssig2, w.csig2, C3a) - - SinCosSeries(true, w.ssig1, w.csig1, C3a)); - w.domg12 = -_f * A3f(w.eps) * salp0 * (w.sig12 + B312); - w.lam12 = eta + w.domg12; - - if (diffp) { - if (w.calp2 == 0) - w.dlam12 = - 2 * _f1 * dn1 / sbet1; - else { - LengthsV v = - Lengths(w.eps, w.sig12, w.ssig1, w.csig1, dn1, w.ssig2, w.csig2, dn2, - cbet1, cbet2, GeodesicMask.REDUCEDLENGTH, C1a, C2a); - w.dlam12 = v.m12b; - w.dlam12 *= _f1 / (w.calp2 * cbet2); - } - } - - return w; - } - - protected double A3f(double eps) { - // Evaluate A3 - return GeoMath.polyval(nA3_ - 1, _A3x, 0, eps); - } - - protected void C3f(double eps, double c[]) { - // Evaluate C3 coeffs - // Elements c[1] thru c[nC3_ - 1] are set - double mult = 1; - int o = 0; - for (int l = 1; l < nC3_; ++l) { // l is index of C3[l] - int m = nC3_ - l - 1; // order of polynomial in eps - mult *= eps; - c[l] = mult * GeoMath.polyval(m, _C3x, o, eps); - o += m + 1; - } - } - - protected void C4f(double eps, double c[]) { - // Evaluate C4 coeffs - // Elements c[0] thru c[nC4_ - 1] are set - double mult = 1; - int o = 0; - for (int l = 0; l < nC4_; ++l) { // l is index of C4[l] - int m = nC4_ - l - 1; // order of polynomial in eps - c[l] = mult * GeoMath.polyval(m, _C4x, o, eps); - o += m + 1; - mult *= eps; - } - } - - // The scale factor A1-1 = mean value of (d/dsigma)I1 - 1 - protected static double A1m1f(double eps) { - final double coeff[] = { - // (1-eps)*A1-1, polynomial in eps2 of order 3 - 1, 4, 64, 0, 256, - }; - int m = nA1_/2; - double t = GeoMath.polyval(m, coeff, 0, GeoMath.sq(eps)) / coeff[m + 1]; - return (t + eps) / (1 - eps); - } - - // The coefficients C1[l] in the Fourier expansion of B1 - protected static void C1f(double eps, double c[]) { - final double coeff[] = { - // C1[1]/eps^1, polynomial in eps2 of order 2 - -1, 6, -16, 32, - // C1[2]/eps^2, polynomial in eps2 of order 2 - -9, 64, -128, 2048, - // C1[3]/eps^3, polynomial in eps2 of order 1 - 9, -16, 768, - // C1[4]/eps^4, polynomial in eps2 of order 1 - 3, -5, 512, - // C1[5]/eps^5, polynomial in eps2 of order 0 - -7, 1280, - // C1[6]/eps^6, polynomial in eps2 of order 0 - -7, 2048, - }; - double - eps2 = GeoMath.sq(eps), - d = eps; - int o = 0; - for (int l = 1; l <= nC1_; ++l) { // l is index of C1p[l] - int m = (nC1_ - l) / 2; // order of polynomial in eps^2 - c[l] = d * GeoMath.polyval(m, coeff, o, eps2) / coeff[o + m + 1]; - o += m + 2; - d *= eps; - } - } - - // The coefficients C1p[l] in the Fourier expansion of B1p - protected static void C1pf(double eps, double c[]) { - final double coeff[] = { - // C1p[1]/eps^1, polynomial in eps2 of order 2 - 205, -432, 768, 1536, - // C1p[2]/eps^2, polynomial in eps2 of order 2 - 4005, -4736, 3840, 12288, - // C1p[3]/eps^3, polynomial in eps2 of order 1 - -225, 116, 384, - // C1p[4]/eps^4, polynomial in eps2 of order 1 - -7173, 2695, 7680, - // C1p[5]/eps^5, polynomial in eps2 of order 0 - 3467, 7680, - // C1p[6]/eps^6, polynomial in eps2 of order 0 - 38081, 61440, - }; - double - eps2 = GeoMath.sq(eps), - d = eps; - int o = 0; - for (int l = 1; l <= nC1p_; ++l) { // l is index of C1p[l] - int m = (nC1p_ - l) / 2; // order of polynomial in eps^2 - c[l] = d * GeoMath.polyval(m, coeff, o, eps2) / coeff[o + m + 1]; - o += m + 2; - d *= eps; - } - } - - // The scale factor A2-1 = mean value of (d/dsigma)I2 - 1 - protected static double A2m1f(double eps) { - final double coeff[] = { - // (eps+1)*A2-1, polynomial in eps2 of order 3 - -11, -28, -192, 0, 256, - }; - int m = nA2_/2; - double t = GeoMath.polyval(m, coeff, 0, GeoMath.sq(eps)) / coeff[m + 1]; - return (t - eps) / (1 + eps); - } - - // The coefficients C2[l] in the Fourier expansion of B2 - protected static void C2f(double eps, double c[]) { - final double coeff[] = { - // C2[1]/eps^1, polynomial in eps2 of order 2 - 1, 2, 16, 32, - // C2[2]/eps^2, polynomial in eps2 of order 2 - 35, 64, 384, 2048, - // C2[3]/eps^3, polynomial in eps2 of order 1 - 15, 80, 768, - // C2[4]/eps^4, polynomial in eps2 of order 1 - 7, 35, 512, - // C2[5]/eps^5, polynomial in eps2 of order 0 - 63, 1280, - // C2[6]/eps^6, polynomial in eps2 of order 0 - 77, 2048, - }; - double - eps2 = GeoMath.sq(eps), - d = eps; - int o = 0; - for (int l = 1; l <= nC2_; ++l) { // l is index of C2[l] - int m = (nC2_ - l) / 2; // order of polynomial in eps^2 - c[l] = d * GeoMath.polyval(m, coeff, o, eps2) / coeff[o + m + 1]; - o += m + 2; - d *= eps; - } - } - - // The scale factor A3 = mean value of (d/dsigma)I3 - protected void A3coeff() { - final double coeff[] = { - // A3, coeff of eps^5, polynomial in n of order 0 - -3, 128, - // A3, coeff of eps^4, polynomial in n of order 1 - -2, -3, 64, - // A3, coeff of eps^3, polynomial in n of order 2 - -1, -3, -1, 16, - // A3, coeff of eps^2, polynomial in n of order 2 - 3, -1, -2, 8, - // A3, coeff of eps^1, polynomial in n of order 1 - 1, -1, 2, - // A3, coeff of eps^0, polynomial in n of order 0 - 1, 1, - }; - int o = 0, k = 0; - for (int j = nA3_ - 1; j >= 0; --j) { // coeff of eps^j - int m = Math.min(nA3_ - j - 1, j); // order of polynomial in n - _A3x[k++] = GeoMath.polyval(m, coeff, o, _n) / coeff[o + m + 1]; - o += m + 2; - } - } - - // The coefficients C3[l] in the Fourier expansion of B3 - protected void C3coeff() { - final double coeff[] = { - // C3[1], coeff of eps^5, polynomial in n of order 0 - 3, 128, - // C3[1], coeff of eps^4, polynomial in n of order 1 - 2, 5, 128, - // C3[1], coeff of eps^3, polynomial in n of order 2 - -1, 3, 3, 64, - // C3[1], coeff of eps^2, polynomial in n of order 2 - -1, 0, 1, 8, - // C3[1], coeff of eps^1, polynomial in n of order 1 - -1, 1, 4, - // C3[2], coeff of eps^5, polynomial in n of order 0 - 5, 256, - // C3[2], coeff of eps^4, polynomial in n of order 1 - 1, 3, 128, - // C3[2], coeff of eps^3, polynomial in n of order 2 - -3, -2, 3, 64, - // C3[2], coeff of eps^2, polynomial in n of order 2 - 1, -3, 2, 32, - // C3[3], coeff of eps^5, polynomial in n of order 0 - 7, 512, - // C3[3], coeff of eps^4, polynomial in n of order 1 - -10, 9, 384, - // C3[3], coeff of eps^3, polynomial in n of order 2 - 5, -9, 5, 192, - // C3[4], coeff of eps^5, polynomial in n of order 0 - 7, 512, - // C3[4], coeff of eps^4, polynomial in n of order 1 - -14, 7, 512, - // C3[5], coeff of eps^5, polynomial in n of order 0 - 21, 2560, - }; - int o = 0, k = 0; - for (int l = 1; l < nC3_; ++l) { // l is index of C3[l] - for (int j = nC3_ - 1; j >= l; --j) { // coeff of eps^j - int m = Math.min(nC3_ - j - 1, j); // order of polynomial in n - _C3x[k++] = GeoMath.polyval(m, coeff, o, _n) / coeff[o + m + 1]; - o += m + 2; - } - } - } - - protected void C4coeff() { - final double coeff[] = { - // C4[0], coeff of eps^5, polynomial in n of order 0 - 97, 15015, - // C4[0], coeff of eps^4, polynomial in n of order 1 - 1088, 156, 45045, - // C4[0], coeff of eps^3, polynomial in n of order 2 - -224, -4784, 1573, 45045, - // C4[0], coeff of eps^2, polynomial in n of order 3 - -10656, 14144, -4576, -858, 45045, - // C4[0], coeff of eps^1, polynomial in n of order 4 - 64, 624, -4576, 6864, -3003, 15015, - // C4[0], coeff of eps^0, polynomial in n of order 5 - 100, 208, 572, 3432, -12012, 30030, 45045, - // C4[1], coeff of eps^5, polynomial in n of order 0 - 1, 9009, - // C4[1], coeff of eps^4, polynomial in n of order 1 - -2944, 468, 135135, - // C4[1], coeff of eps^3, polynomial in n of order 2 - 5792, 1040, -1287, 135135, - // C4[1], coeff of eps^2, polynomial in n of order 3 - 5952, -11648, 9152, -2574, 135135, - // C4[1], coeff of eps^1, polynomial in n of order 4 - -64, -624, 4576, -6864, 3003, 135135, - // C4[2], coeff of eps^5, polynomial in n of order 0 - 8, 10725, - // C4[2], coeff of eps^4, polynomial in n of order 1 - 1856, -936, 225225, - // C4[2], coeff of eps^3, polynomial in n of order 2 - -8448, 4992, -1144, 225225, - // C4[2], coeff of eps^2, polynomial in n of order 3 - -1440, 4160, -4576, 1716, 225225, - // C4[3], coeff of eps^5, polynomial in n of order 0 - -136, 63063, - // C4[3], coeff of eps^4, polynomial in n of order 1 - 1024, -208, 105105, - // C4[3], coeff of eps^3, polynomial in n of order 2 - 3584, -3328, 1144, 315315, - // C4[4], coeff of eps^5, polynomial in n of order 0 - -128, 135135, - // C4[4], coeff of eps^4, polynomial in n of order 1 - -2560, 832, 405405, - // C4[5], coeff of eps^5, polynomial in n of order 0 - 128, 99099, - }; - int o = 0, k = 0; - for (int l = 0; l < nC4_; ++l) { // l is index of C4[l] - for (int j = nC4_ - 1; j >= l; --j) { // coeff of eps^j - int m = nC4_ - j - 1; // order of polynomial in n - _C4x[k++] = GeoMath.polyval(m, coeff, o, _n) / coeff[o + m + 1]; - o += m + 2; - } - } - } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicData.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicData.java deleted file mode 100644 index 5f1d96ad4f1c1c45efa6823f5a22e460bb490d74..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicData.java +++ /dev/null @@ -1,78 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.GeodesicData class - * - * Copyright (c) Charles Karney (2013) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * The results of geodesic calculations. - * - * This is used to return the results for a geodesic between point 1 - * (lat1, lon1) and point 2 (lat2, lon2). Fields - * that have not been set will be filled with Double.NaN. The returned - * GeodesicData objects always include the parameters provided to {@link - * Geodesic#Direct(double, double, double, double) Geodesic.Direct} and {@link - * Geodesic#Inverse(double, double, double, double) Geodesic.Inverse} and it - * always includes the field a12. - **********************************************************************/ -public class GeodesicData { - /** - * latitude of point 1 (degrees). - **********************************************************************/ - public double lat1; - /** - * longitude of point 1 (degrees). - **********************************************************************/ - public double lon1; - /** - * azimuth at point 1 (degrees). - **********************************************************************/ - public double azi1; - /** - * latitude of point 2 (degrees). - **********************************************************************/ - public double lat2; - /** - * longitude of point 2 (degrees). - **********************************************************************/ - public double lon2; - /** - * azimuth at point 2 (degrees). - **********************************************************************/ - public double azi2; - /** - * distance between point 1 and point 2 (meters). - **********************************************************************/ - public double s12; - /** - * arc length on the auxiliary sphere between point 1 and point 2 - * (degrees). - **********************************************************************/ - public double a12; - /** - * reduced length of geodesic (meters). - **********************************************************************/ - public double m12; - /** - * geodesic scale of point 2 relative to point 1 (dimensionless). - **********************************************************************/ - public double M12; - /** - * geodesic scale of point 1 relative to point 2 (dimensionless). - **********************************************************************/ - public double M21; - /** - * area under the geodesic (meters2). - **********************************************************************/ - public double S12; - /** - * Initialize all the fields to Double.NaN. - **********************************************************************/ - public GeodesicData() { - lat1 = lon1 = azi1 = lat2 = lon2 = azi2 = - s12 = a12 = m12 = M12 = M21 = S12 = Double.NaN; - } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicLine.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicLine.java deleted file mode 100644 index abec7f07e6b23f752d019da28cd91c64f99be95f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicLine.java +++ /dev/null @@ -1,752 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.GeodesicLine class - * - * Copyright (c) Charles Karney (2013-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * A geodesic line. - *

- * GeodesicLine facilitates the determination of a series of points on a single - * geodesic. The starting point (lat1, lon1) and the azimuth - * azi1 are specified in the constructor; alternatively, the {@link - * Geodesic#Line Geodesic.Line} method can be used to create a GeodesicLine. - * {@link #Position Position} returns the location of point 2 a distance - * s12 along the geodesic. Alternatively {@link #ArcPosition - * ArcPosition} gives the position of point 2 an arc length a12 along - * the geodesic. - *

- * You can register the position of a reference point 3 a distance (arc - * length), s13 (a13) along the geodesic with the - * {@link #SetDistance SetDistance} ({@link #SetArc SetArc}) functions. Points - * a fractional distance along the line can be found by providing, for example, - * 0.5 * {@link #Distance} as an argument to {@link #Position Position}. The - * {@link Geodesic#InverseLine Geodesic.InverseLine} or - * {@link Geodesic#DirectLine Geodesic.DirectLine} methods return GeodesicLine - * objects with point 3 set to the point 2 of the corresponding geodesic - * problem. GeodesicLine objects created with the public constructor or with - * {@link Geodesic#Line Geodesic.Line} have s13 and a13 set to - * NaNs. - *

- * The calculations are accurate to better than 15 nm (15 nanometers). See - * Sec. 9 of - * arXiv:1102.1215v1 for - * details. The algorithms used by this class are based on series expansions - * using the flattening f as a small parameter. These are only accurate - * for |f| < 0.02; however reasonably accurate results will be - * obtained for |f| < 0.2. - *

- * The algorithms are described in - *

- *

- * Here's an example of using this class - * 

- * {@code
- * import net.sf.geographiclib.*;
- * public class GeodesicLineTest {
- *   public static void main(String[] args) {
- *     // Print waypoints between JFK and SIN
- *     Geodesic geod = Geodesic.WGS84;
- *     double
- *       lat1 = 40.640, lon1 = -73.779, // JFK
- *       lat2 =  1.359, lon2 = 103.989; // SIN
- *     GeodesicLine line = geod.InverseLine(lat1, lon1, lat2, lon2,
- *                                          GeodesicMask.DISTANCE_IN |
- *                                          GeodesicMask.LATITUDE |
- *                                          GeodesicMask.LONGITUDE);
- *     double ds0 = 500e3;     // Nominal distance between points = 500 km
- *     // The number of intervals
- *     int num = (int)(Math.ceil(line.Distance() / ds0));
- *     {
- *       // Use intervals of equal length
- *       double ds = line.Distance() / num;
- *       for (int i = 0; i <= num; ++i) {
- *         GeodesicData g = line.Position(i * ds,
- *                                        GeodesicMask.LATITUDE |
- *                                        GeodesicMask.LONGITUDE);
- *         System.out.println(i + " " + g.lat2 + " " + g.lon2);
- *       }
- *     }
- *     {
- *       // Slightly faster, use intervals of equal arc length
- *       double da = line.Arc() / num;
- *       for (int i = 0; i <= num; ++i) {
- *         GeodesicData g = line.ArcPosition(i * da,
- *                                           GeodesicMask.LATITUDE |
- *                                           GeodesicMask.LONGITUDE);
- *         System.out.println(i + " " + g.lat2 + " " + g.lon2);
- *       }
- *     }
- *   }
- * }}
- **********************************************************************/ -public class GeodesicLine { - - private static final int nC1_ = Geodesic.nC1_; - private static final int nC1p_ = Geodesic.nC1p_; - private static final int nC2_ = Geodesic.nC2_; - private static final int nC3_ = Geodesic.nC3_; - private static final int nC4_ = Geodesic.nC4_; - - private double _lat1, _lon1, _azi1; - private double _a, _f, _b, _c2, _f1, _salp0, _calp0, _k2, - _salp1, _calp1, _ssig1, _csig1, _dn1, _stau1, _ctau1, _somg1, _comg1, - _A1m1, _A2m1, _A3c, _B11, _B21, _B31, _A4, _B41; - private double _a13, _s13; - // index zero elements of _C1a, _C1pa, _C2a, _C3a are unused - private double _C1a[], _C1pa[], _C2a[], _C3a[], - _C4a[]; // all the elements of _C4a are used - private int _caps; - - /** - * Constructor for a geodesic line staring at latitude lat1, longitude - * lon1, and azimuth azi1 (all in degrees). - *

- * @param g A {@link Geodesic} object used to compute the necessary - * information about the GeodesicLine. - * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - *

- * lat1 should be in the range [−90°, 90°]. - *

- * If the point is at a pole, the azimuth is defined by keeping lon1 - * fixed, writing lat1 = ±(90° − ε), and - * taking the limit ε → 0+. - **********************************************************************/ - public GeodesicLine(Geodesic g, - double lat1, double lon1, double azi1) { - this(g, lat1, lon1, azi1, GeodesicMask.ALL); - } - - /** - * Constructor for a geodesic line staring at latitude lat1, longitude - * lon1, and azimuth azi1 (all in degrees) with a subset of the - * capabilities included. - *

- * @param g A {@link Geodesic} object used to compute the necessary - * information about the GeodesicLine. - * @param lat1 latitude of point 1 (degrees). - * @param lon1 longitude of point 1 (degrees). - * @param azi1 azimuth at point 1 (degrees). - * @param caps bitor'ed combination of {@link GeodesicMask} values - * specifying the capabilities the GeodesicLine object should possess, - * i.e., which quantities can be returned in calls to {@link #Position - * Position}. - *

- * The {@link GeodesicMask} values are - *

    - *
  • - * caps |= {@link GeodesicMask#LATITUDE} for the latitude - * lat2; this is added automatically; - *
  • - * caps |= {@link GeodesicMask#LONGITUDE} for the latitude - * lon2; - *
  • - * caps |= {@link GeodesicMask#AZIMUTH} for the latitude - * azi2; this is added automatically; - *
  • - * caps |= {@link GeodesicMask#DISTANCE} for the distance - * s12; - *
  • - * caps |= {@link GeodesicMask#REDUCEDLENGTH} for the reduced length - * m12; - *
  • - * caps |= {@link GeodesicMask#GEODESICSCALE} for the geodesic - * scales M12 and M21; - *
  • - * caps |= {@link GeodesicMask#AREA} for the area S12; - *
  • - * caps |= {@link GeodesicMask#DISTANCE_IN} permits the length of - * the geodesic to be given in terms of s12; without this capability - * the length can only be specified in terms of arc length; - *
  • - * caps |= {@link GeodesicMask#ALL} for all of the above. - *
- **********************************************************************/ - public GeodesicLine(Geodesic g, - double lat1, double lon1, double azi1, - int caps) { - azi1 = GeoMath.AngNormalize(azi1); - double salp1, calp1; - // Guard against underflow in salp0 - { Pair p = GeoMath.sincosd(GeoMath.AngRound(azi1)); - salp1 = p.first; calp1 = p.second; } - LineInit(g, lat1, lon1, azi1, salp1, calp1, caps); - } - - private void LineInit(Geodesic g, - double lat1, double lon1, - double azi1, double salp1, double calp1, - int caps) { - _a = g._a; - _f = g._f; - _b = g._b; - _c2 = g._c2; - _f1 = g._f1; - // Always allow latitude and azimuth and unrolling the longitude - _caps = caps | GeodesicMask.LATITUDE | GeodesicMask.AZIMUTH | - GeodesicMask.LONG_UNROLL; - - _lat1 = GeoMath.LatFix(lat1); - _lon1 = lon1; - _azi1 = azi1; _salp1 = salp1; _calp1 = calp1; - double cbet1, sbet1; - { Pair p = GeoMath.sincosd(GeoMath.AngRound(_lat1)); - sbet1 = _f1 * p.first; cbet1 = p.second; } - // Ensure cbet1 = +epsilon at poles - { Pair p = GeoMath.norm(sbet1, cbet1); - sbet1 = p.first; cbet1 = Math.max(Geodesic.tiny_, p.second); } - _dn1 = Math.sqrt(1 + g._ep2 * GeoMath.sq(sbet1)); - - // Evaluate alp0 from sin(alp1) * cos(bet1) = sin(alp0), - _salp0 = _salp1 * cbet1; // alp0 in [0, pi/2 - |bet1|] - // Alt: calp0 = Math.hypot(sbet1, calp1 * cbet1). The following - // is slightly better (consider the case salp1 = 0). - _calp0 = Math.hypot(_calp1, _salp1 * sbet1); - // Evaluate sig with tan(bet1) = tan(sig1) * cos(alp1). - // sig = 0 is nearest northward crossing of equator. - // With bet1 = 0, alp1 = pi/2, we have sig1 = 0 (equatorial line). - // With bet1 = pi/2, alp1 = -pi, sig1 = pi/2 - // With bet1 = -pi/2, alp1 = 0 , sig1 = -pi/2 - // Evaluate omg1 with tan(omg1) = sin(alp0) * tan(sig1). - // With alp0 in (0, pi/2], quadrants for sig and omg coincide. - // No atan2(0,0) ambiguity at poles since cbet1 = +epsilon. - // With alp0 = 0, omg1 = 0 for alp1 = 0, omg1 = pi for alp1 = pi. - _ssig1 = sbet1; _somg1 = _salp0 * sbet1; - _csig1 = _comg1 = sbet1 != 0 || _calp1 != 0 ? cbet1 * _calp1 : 1; - { Pair p = GeoMath.norm(_ssig1, _csig1); - _ssig1 = p.first; _csig1 = p.second; } // sig1 in (-pi, pi] - // GeoMath.norm(_somg1, _comg1); -- don't need to normalize! - - _k2 = GeoMath.sq(_calp0) * g._ep2; - double eps = _k2 / (2 * (1 + Math.sqrt(1 + _k2)) + _k2); - - if ((_caps & GeodesicMask.CAP_C1) != 0) { - _A1m1 = Geodesic.A1m1f(eps); - _C1a = new double[nC1_ + 1]; - Geodesic.C1f(eps, _C1a); - _B11 = Geodesic.SinCosSeries(true, _ssig1, _csig1, _C1a); - double s = Math.sin(_B11), c = Math.cos(_B11); - // tau1 = sig1 + B11 - _stau1 = _ssig1 * c + _csig1 * s; - _ctau1 = _csig1 * c - _ssig1 * s; - // Not necessary because C1pa reverts C1a - // _B11 = -SinCosSeries(true, _stau1, _ctau1, _C1pa, nC1p_); - } - - if ((_caps & GeodesicMask.CAP_C1p) != 0) { - _C1pa = new double[nC1p_ + 1]; - Geodesic.C1pf(eps, _C1pa); - } - - if ((_caps & GeodesicMask.CAP_C2) != 0) { - _C2a = new double[nC2_ + 1]; - _A2m1 = Geodesic.A2m1f(eps); - Geodesic.C2f(eps, _C2a); - _B21 = Geodesic.SinCosSeries(true, _ssig1, _csig1, _C2a); - } - - if ((_caps & GeodesicMask.CAP_C3) != 0) { - _C3a = new double[nC3_]; - g.C3f(eps, _C3a); - _A3c = -_f * _salp0 * g.A3f(eps); - _B31 = Geodesic.SinCosSeries(true, _ssig1, _csig1, _C3a); - } - - if ((_caps & GeodesicMask.CAP_C4) != 0) { - _C4a = new double[nC4_]; - g.C4f(eps, _C4a); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0) - _A4 = GeoMath.sq(_a) * _calp0 * _salp0 * g._e2; - _B41 = Geodesic.SinCosSeries(false, _ssig1, _csig1, _C4a); - } - } - - protected GeodesicLine(Geodesic g, - double lat1, double lon1, - double azi1, double salp1, double calp1, - int caps, boolean arcmode, double s13_a13) { - LineInit(g, lat1, lon1, azi1, salp1, calp1, caps); - GenSetDistance(arcmode, s13_a13); - } - - /** - * A default constructor. If GeodesicLine.Position is called on the - * resulting object, it returns immediately (without doing any calculations). - * The object can be set with a call to {@link Geodesic.Line}. Use {@link - * Init()} to test whether object is still in this uninitialized state. - * (This constructor was useful in C++, e.g., to allow vectors of - * GeodesicLine objects. It may not be needed in Java, so make it private.) - **********************************************************************/ - private GeodesicLine() { _caps = 0; } - - /** - * Compute the position of point 2 which is a distance s12 (meters) - * from point 1. - *

- * @param s12 distance from point 1 to point 2 (meters); it can be - * negative. - * @return a {@link GeodesicData} object with the following fields: - * lat1, lon1, azi1, lat2, lon2, - * azi2, s12, a12. Some of these results may be - * missing if the GeodesicLine did not include the relevant capability. - *

- * The values of lon2 and azi2 returned are in the range - * [−180°, 180°]. - *

- * The GeodesicLine object must have been constructed with caps - * |= {@link GeodesicMask#DISTANCE_IN}; otherwise no parameters are set. - **********************************************************************/ - public GeodesicData Position(double s12) { - return Position(false, s12, GeodesicMask.STANDARD); - } - /** - * Compute the position of point 2 which is a distance s12 (meters) - * from point 1 and with a subset of the geodesic results returned. - *

- * @param s12 distance from point 1 to point 2 (meters); it can be - * negative. - * @param outmask a bitor'ed combination of {@link GeodesicMask} values - * specifying which results should be returned. - * @return a {@link GeodesicData} object including the requested results. - *

- * The GeodesicLine object must have been constructed with caps - * |= {@link GeodesicMask#DISTANCE_IN}; otherwise no parameters are set. - * Requesting a value which the GeodesicLine object is not capable of - * computing is not an error (no parameters will be set). The value of - * lon2 returned is normally in the range [−180°, 180°]; - * however if the outmask includes the - * {@link GeodesicMask#LONG_UNROLL} flag, the longitude is "unrolled" so that - * the quantity lon2 − lon1 indicates how many times and - * in what sense the geodesic encircles the ellipsoid. - **********************************************************************/ - public GeodesicData Position(double s12, int outmask) { - return Position(false, s12, outmask); - } - - /** - * Compute the position of point 2 which is an arc length a12 - * (degrees) from point 1. - *

- * @param a12 arc length from point 1 to point 2 (degrees); it can - * be negative. - * @return a {@link GeodesicData} object with the following fields: - * lat1, lon1, azi1, lat2, lon2, - * azi2, s12, a12. Some of these results may be - * missing if the GeodesicLine did not include the relevant capability. - *

- * The values of lon2 and azi2 returned are in the range - * [−180°, 180°]. - *

- * The GeodesicLine object must have been constructed with caps - * |= {@link GeodesicMask#DISTANCE_IN}; otherwise no parameters are set. - **********************************************************************/ - public GeodesicData ArcPosition(double a12) { - return Position(true, a12, GeodesicMask.STANDARD); - } - /** - * Compute the position of point 2 which is an arc length a12 - * (degrees) from point 1 and with a subset of the geodesic results returned. - *

- * @param a12 arc length from point 1 to point 2 (degrees); it can - * be negative. - * @param outmask a bitor'ed combination of {@link GeodesicMask} values - * specifying which results should be returned. - * @return a {@link GeodesicData} object giving lat1, lon2, - * azi2, and a12. - *

- * Requesting a value which the GeodesicLine object is not capable of - * computing is not an error (no parameters will be set). The value of - * lon2 returned is in the range [−180°, 180°], unless - * the outmask includes the {@link GeodesicMask#LONG_UNROLL} flag. - **********************************************************************/ - public GeodesicData ArcPosition(double a12, int outmask) { - return Position(true, a12, outmask); - } - - /** - * The general position function. {@link #Position(double, int) Position} - * and {@link #ArcPosition(double, int) ArcPosition} are defined in terms of - * this function. - *

- * @param arcmode boolean flag determining the meaning of the second - * parameter; if arcmode is false, then the GeodesicLine object must have - * been constructed with caps |= {@link GeodesicMask#DISTANCE_IN}. - * @param s12_a12 if arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param outmask a bitor'ed combination of {@link GeodesicMask} values - * specifying which results should be returned. - * @return a {@link GeodesicData} object with the requested results. - *

- * The {@link GeodesicMask} values possible for outmask are - *

    - *
  • - * outmask |= {@link GeodesicMask#LATITUDE} for the latitude - * lat2; - *
  • - * outmask |= {@link GeodesicMask#LONGITUDE} for the latitude - * lon2; - *
  • - * outmask |= {@link GeodesicMask#AZIMUTH} for the latitude - * azi2; - *
  • - * outmask |= {@link GeodesicMask#DISTANCE} for the distance - * s12; - *
  • - * outmask |= {@link GeodesicMask#REDUCEDLENGTH} for the reduced - * length m12; - *
  • - * outmask |= {@link GeodesicMask#GEODESICSCALE} for the geodesic - * scales M12 and M21; - *
  • - * outmask |= {@link GeodesicMask#ALL} for all of the above; - *
  • - * outmask |= {@link GeodesicMask#LONG_UNROLL} to unroll lon2 - * (instead of reducing it to the range [−180°, 180°]). - *
- *

- * Requesting a value which the GeodesicLine object is not capable of - * computing is not an error; Double.NaN is returned instead. - **********************************************************************/ - public GeodesicData Position(boolean arcmode, double s12_a12, - int outmask) { - outmask &= _caps & GeodesicMask.OUT_MASK; - GeodesicData r = new GeodesicData(); - if (!( Init() && - (arcmode || - (_caps & (GeodesicMask.OUT_MASK & GeodesicMask.DISTANCE_IN)) != 0) - )) - // Uninitialized or impossible distance calculation requested - return r; - r.lat1 = _lat1; r.azi1 = _azi1; - r.lon1 = ((outmask & GeodesicMask.LONG_UNROLL) != 0) ? _lon1 : - GeoMath.AngNormalize(_lon1); - - // Avoid warning about uninitialized B12. - double sig12, ssig12, csig12, B12 = 0, AB1 = 0; - if (arcmode) { - // Interpret s12_a12 as spherical arc length - r.a12 = s12_a12; - sig12 = Math.toRadians(s12_a12); - { Pair p = GeoMath.sincosd(s12_a12); - ssig12 = p.first; csig12 = p.second; } - } else { - // Interpret s12_a12 as distance - r.s12 = s12_a12; - double - tau12 = s12_a12 / (_b * (1 + _A1m1)), - s = Math.sin(tau12), - c = Math.cos(tau12); - // tau2 = tau1 + tau12 - B12 = - Geodesic.SinCosSeries(true, - _stau1 * c + _ctau1 * s, - _ctau1 * c - _stau1 * s, - _C1pa); - sig12 = tau12 - (B12 - _B11); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - if (Math.abs(_f) > 0.01) { - // Reverted distance series is inaccurate for |f| > 1/100, so correct - // sig12 with 1 Newton iteration. The following table shows the - // approximate maximum error for a = WGS_a() and various f relative to - // GeodesicExact. - // erri = the error in the inverse solution (nm) - // errd = the error in the direct solution (series only) (nm) - // errda = the error in the direct solution - // (series + 1 Newton) (nm) - // - // f erri errd errda - // -1/5 12e6 1.2e9 69e6 - // -1/10 123e3 12e6 765e3 - // -1/20 1110 108e3 7155 - // -1/50 18.63 200.9 27.12 - // -1/100 18.63 23.78 23.37 - // -1/150 18.63 21.05 20.26 - // 1/150 22.35 24.73 25.83 - // 1/100 22.35 25.03 25.31 - // 1/50 29.80 231.9 30.44 - // 1/20 5376 146e3 10e3 - // 1/10 829e3 22e6 1.5e6 - // 1/5 157e6 3.8e9 280e6 - double - ssig2 = _ssig1 * csig12 + _csig1 * ssig12, - csig2 = _csig1 * csig12 - _ssig1 * ssig12; - B12 = Geodesic.SinCosSeries(true, ssig2, csig2, _C1a); - double serr = (1 + _A1m1) * (sig12 + (B12 - _B11)) - s12_a12 / _b; - sig12 = sig12 - serr / Math.sqrt(1 + _k2 * GeoMath.sq(ssig2)); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - // Update B12 below - } - r.a12 = Math.toDegrees(sig12); - } - - double ssig2, csig2, sbet2, cbet2, salp2, calp2; - // sig2 = sig1 + sig12 - ssig2 = _ssig1 * csig12 + _csig1 * ssig12; - csig2 = _csig1 * csig12 - _ssig1 * ssig12; - double dn2 = Math.sqrt(1 + _k2 * GeoMath.sq(ssig2)); - if ((outmask & (GeodesicMask.DISTANCE | GeodesicMask.REDUCEDLENGTH | - GeodesicMask.GEODESICSCALE)) != 0) { - if (arcmode || Math.abs(_f) > 0.01) - B12 = Geodesic.SinCosSeries(true, ssig2, csig2, _C1a); - AB1 = (1 + _A1m1) * (B12 - _B11); - } - // sin(bet2) = cos(alp0) * sin(sig2) - sbet2 = _calp0 * ssig2; - // Alt: cbet2 = Math.hypot(csig2, salp0 * ssig2); - cbet2 = Math.hypot(_salp0, _calp0 * csig2); - if (cbet2 == 0) - // I.e., salp0 = 0, csig2 = 0. Break the degeneracy in this case - cbet2 = csig2 = Geodesic.tiny_; - // tan(alp0) = cos(sig2)*tan(alp2) - salp2 = _salp0; calp2 = _calp0 * csig2; // No need to normalize - - if ((outmask & GeodesicMask.DISTANCE) != 0 && arcmode) - r.s12 = _b * ((1 + _A1m1) * sig12 + AB1); - - if ((outmask & GeodesicMask.LONGITUDE) != 0) { - // tan(omg2) = sin(alp0) * tan(sig2) - double somg2 = _salp0 * ssig2, comg2 = csig2, // No need to normalize - E = Math.copySign(1, _salp0); // east or west going? - // omg12 = omg2 - omg1 - double omg12 = ((outmask & GeodesicMask.LONG_UNROLL) != 0) - ? E * (sig12 - - (Math.atan2( ssig2, csig2) - Math.atan2( _ssig1, _csig1)) - + (Math.atan2(E*somg2, comg2) - Math.atan2(E*_somg1, _comg1))) - : Math.atan2(somg2 * _comg1 - comg2 * _somg1, - comg2 * _comg1 + somg2 * _somg1); - double lam12 = omg12 + _A3c * - ( sig12 + (Geodesic.SinCosSeries(true, ssig2, csig2, _C3a) - - _B31)); - double lon12 = Math.toDegrees(lam12); - r.lon2 = ((outmask & GeodesicMask.LONG_UNROLL) != 0) ? _lon1 + lon12 : - GeoMath.AngNormalize(r.lon1 + GeoMath.AngNormalize(lon12)); - } - - if ((outmask & GeodesicMask.LATITUDE) != 0) - r.lat2 = GeoMath.atan2d(sbet2, _f1 * cbet2); - - if ((outmask & GeodesicMask.AZIMUTH) != 0) - r.azi2 = GeoMath.atan2d(salp2, calp2); - - if ((outmask & - (GeodesicMask.REDUCEDLENGTH | GeodesicMask.GEODESICSCALE)) != 0) { - double - B22 = Geodesic.SinCosSeries(true, ssig2, csig2, _C2a), - AB2 = (1 + _A2m1) * (B22 - _B21), - J12 = (_A1m1 - _A2m1) * sig12 + (AB1 - AB2); - if ((outmask & GeodesicMask.REDUCEDLENGTH) != 0) - // Add parens around (_csig1 * ssig2) and (_ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - r.m12 = _b * ((dn2 * (_csig1 * ssig2) - _dn1 * (_ssig1 * csig2)) - - _csig1 * csig2 * J12); - if ((outmask & GeodesicMask.GEODESICSCALE) != 0) { - double t = _k2 * (ssig2 - _ssig1) * (ssig2 + _ssig1) / (_dn1 + dn2); - r.M12 = csig12 + (t * ssig2 - csig2 * J12) * _ssig1 / _dn1; - r.M21 = csig12 - (t * _ssig1 - _csig1 * J12) * ssig2 / dn2; - } - } - - if ((outmask & GeodesicMask.AREA) != 0) { - double - B42 = Geodesic.SinCosSeries(false, ssig2, csig2, _C4a); - double salp12, calp12; - if (_calp0 == 0 || _salp0 == 0) { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * _calp1 - calp2 * _salp1; - calp12 = calp2 * _calp1 + salp2 * _salp1; - } else { - // tan(alp) = tan(alp0) * sec(sig) - // tan(alp2-alp1) = (tan(alp2) -tan(alp1)) / (tan(alp2)*tan(alp1)+1) - // = calp0 * salp0 * (csig1-csig2) / (salp0^2 + calp0^2 * csig1*csig2) - // If csig12 > 0, write - // csig1 - csig2 = ssig12 * (csig1 * ssig12 / (1 + csig12) + ssig1) - // else - // csig1 - csig2 = csig1 * (1 - csig12) + ssig12 * ssig1 - // No need to normalize - salp12 = _calp0 * _salp0 * - (csig12 <= 0 ? _csig1 * (1 - csig12) + ssig12 * _ssig1 : - ssig12 * (_csig1 * ssig12 / (1 + csig12) + _ssig1)); - calp12 = GeoMath.sq(_salp0) + GeoMath.sq(_calp0) * _csig1 * csig2; - } - r.S12 = _c2 * Math.atan2(salp12, calp12) + _A4 * (B42 - _B41); - } - - return r; - } - - /** - * Specify position of point 3 in terms of distance. - * - * @param s13 the distance from point 1 to point 3 (meters); it - * can be negative. - * - * This is only useful if the GeodesicLine object has been constructed - * with caps |= {@link GeodesicMask#DISTANCE_IN}. - **********************************************************************/ - public void SetDistance(double s13) { - _s13 = s13; - GeodesicData g = Position(false, _s13, 0); - _a13 = g.a12; - } - - /** - * Specify position of point 3 in terms of arc length. - * - * @param a13 the arc length from point 1 to point 3 (degrees); it - * can be negative. - * - * The distance s13 is only set if the GeodesicLine object has been - * constructed with caps |= {@link GeodesicMask#DISTANCE}. - **********************************************************************/ - void SetArc(double a13) { - _a13 = a13; - GeodesicData g = Position(true, _a13, GeodesicMask.DISTANCE); - _s13 = g.s12; - } - - /** - * Specify position of point 3 in terms of either distance or arc length. - * - * @param arcmode boolean flag determining the meaning of the second - * parameter; if arcmode is false, then the GeodesicLine object must - * have been constructed with caps |= - * {@link GeodesicMask#DISTANCE_IN}. - * @param s13_a13 if arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - **********************************************************************/ - public void GenSetDistance(boolean arcmode, double s13_a13) { - if (arcmode) - SetArc(s13_a13); - else - SetDistance(s13_a13); - } - - /** - * @return true if the object has been initialized. - **********************************************************************/ - private boolean Init() { return _caps != 0; } - - /** - * @return lat1 the latitude of point 1 (degrees). - **********************************************************************/ - public double Latitude() - { return Init() ? _lat1 : Double.NaN; } - - /** - * @return lon1 the longitude of point 1 (degrees). - **********************************************************************/ - public double Longitude() - { return Init() ? _lon1 : Double.NaN; } - - /** - * @return azi1 the azimuth (degrees) of the geodesic line at point 1. - **********************************************************************/ - public double Azimuth() - { return Init() ? _azi1 : Double.NaN; } - - /** - * @return pair of sine and cosine of azi1 the azimuth (degrees) of - * the geodesic line at point 1. - **********************************************************************/ - public Pair AzimuthCosines() { - return new Pair(Init() ? _salp1 : Double.NaN, - Init() ? _calp1 : Double.NaN); - } - - /** - * @return azi0 the azimuth (degrees) of the geodesic line as it - * crosses the equator in a northward direction. - **********************************************************************/ - public double EquatorialAzimuth() { - return Init() ? - GeoMath.atan2d(_salp0, _calp0) : Double.NaN; - } - - /** - * @return pair of sine and cosine of azi0 the azimuth of the geodesic - * line as it crosses the equator in a northward direction. - **********************************************************************/ - public Pair EquatorialAzimuthCosines() { - return new Pair(Init() ? _salp0 : Double.NaN, - Init() ? _calp0 : Double.NaN); - } - - /** - * @return a1 the arc length (degrees) between the northward - * equatorial crossing and point 1. - **********************************************************************/ - public double EquatorialArc() { - return Init() ? - GeoMath.atan2d(_ssig1, _csig1) : Double.NaN; - } - - /** - * @return a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - public double EquatorialRadius() - { return Init() ? _a : Double.NaN; } - - /** - * @return f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - public double Flattening() - { return Init() ? _f : Double.NaN; } - - /** - * @return caps the computational capabilities that this object was - * constructed with. LATITUDE and AZIMUTH are always included. - **********************************************************************/ - public int Capabilities() { return _caps; } - - /** - * @param testcaps a set of bitor'ed {@link GeodesicMask} values. - * @return true if the GeodesicLine object has all these capabilities. - **********************************************************************/ - public boolean Capabilities(int testcaps) { - testcaps &= GeodesicMask.OUT_ALL; - return (_caps & testcaps) == testcaps; - } - - /** - * The distance or arc length to point 3. - * - * @param arcmode boolean flag determining the meaning of returned - * value. - * @return s13 if arcmode is false; a13 if - * arcmode is true. - **********************************************************************/ - public double GenDistance(boolean arcmode) - { return Init() ? (arcmode ? _a13 : _s13) : Double.NaN; } - - /** - * @return s13, the distance to point 3 (meters). - **********************************************************************/ - public double Distance() { return GenDistance(false); } - - /** - * @return a13, the arc length to point 3 (degrees). - **********************************************************************/ - public double Arc() { return GenDistance(true); } - - /** - * @deprecated An old name for {@link #EquatorialRadius()}. - * @return a the equatorial radius of the ellipsoid (meters). - **********************************************************************/ - // @Deprecated - public double MajorRadius() { return EquatorialRadius(); } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicMask.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicMask.java deleted file mode 100644 index 13c8184a16114b43aee360bfb0c4ed8f25c6d547..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeodesicMask.java +++ /dev/null @@ -1,89 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.GeodesicMask class - * - * Copyright (c) Charles Karney (2013-2014) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * Bit masks for what geodesic calculations to do. - *

- * These masks do double duty. They specify (via the outmask parameter) - * which results to return in the {@link GeodesicData} object returned by the - * general routines {@link Geodesic#Direct(double, double, double, double, int) - * Geodesic.Direct} and {@link Geodesic#Inverse(double, double, double, double, - * int) Geodesic.Inverse} routines. They also signify (via the caps - * parameter) to the {@link GeodesicLine#GeodesicLine(Geodesic, double, double, - * double, int) GeodesicLine.GeodesicLine} constructor and to {@link - * Geodesic#Line(double, double, double, int) Geodesic.Line} what capabilities - * should be included in the {@link GeodesicLine} object. - **********************************************************************/ -public class GeodesicMask { - protected static final int CAP_NONE = 0; - protected static final int CAP_C1 = 1<<0; - protected static final int CAP_C1p = 1<<1; - protected static final int CAP_C2 = 1<<2; - protected static final int CAP_C3 = 1<<3; - protected static final int CAP_C4 = 1<<4; - protected static final int CAP_ALL = 0x1F; - protected static final int CAP_MASK = CAP_ALL; - protected static final int OUT_ALL = 0x7F80; - protected static final int OUT_MASK = 0xFF80; // Include LONG_UNROLL - - /** - * No capabilities, no output. - **********************************************************************/ - public static final int NONE = 0; - /** - * Calculate latitude lat2. (It's not necessary to include this as a - * capability to {@link GeodesicLine} because this is included by default.) - **********************************************************************/ - public static final int LATITUDE = 1<<7 | CAP_NONE; - /** - * Calculate longitude lon2. - **********************************************************************/ - public static final int LONGITUDE = 1<<8 | CAP_C3; - /** - * Calculate azimuths azi1 and azi2. (It's not necessary to - * include this as a capability to {@link GeodesicLine} because this is - * included by default.) - **********************************************************************/ - public static final int AZIMUTH = 1<<9 | CAP_NONE; - /** - * Calculate distance s12. - **********************************************************************/ - public static final int DISTANCE = 1<<10 | CAP_C1; - /** - * All of the above, the "standard" output and capabilities. - **********************************************************************/ - public static final int STANDARD = LATITUDE | LONGITUDE | - AZIMUTH | DISTANCE; - /** - * Allow distance s12 to be used as input in the direct - * geodesic problem. - **********************************************************************/ - public static final int DISTANCE_IN = 1<<11 | CAP_C1 | CAP_C1p; - /** - * Calculate reduced length m12. - **********************************************************************/ - public static final int REDUCEDLENGTH = 1<<12 | CAP_C1 | CAP_C2; - /** - * Calculate geodesic scales M12 and M21. - **********************************************************************/ - public static final int GEODESICSCALE = 1<<13 | CAP_C1 | CAP_C2; - /** - * Calculate area S12. - **********************************************************************/ - public static final int AREA = 1<<14 | CAP_C4; - /** - * All capabilities, calculate everything. (LONG_UNROLL is not included in - * this mask.) - **********************************************************************/ - public static final int ALL = OUT_ALL| CAP_ALL; - /** - * Unroll lon2. - **********************************************************************/ - public static final int LONG_UNROLL = 1<<15; -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeographicErr.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeographicErr.java deleted file mode 100644 index 0846cb9288b75a632f070a3fb0ccb18fa59273b9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GeographicErr.java +++ /dev/null @@ -1,24 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.GeographicErr class - * - * Copyright (c) Charles Karney (2013) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * Exception handling for GeographicLib. - *

- * A class to handle exceptions. It's derived from RuntimeException so it - * can be caught by the usual catch clauses. - **********************************************************************/ -public class GeographicErr extends RuntimeException { - /** - * Constructor - *

- * @param msg a string message, which is accessible in the catch - * clause via getMessage(). - **********************************************************************/ - public GeographicErr(String msg) { super(msg); } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Gnomonic.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Gnomonic.java deleted file mode 100644 index 265aa5cc6b6b1c77ece8b2b539d1de02dd2654ec..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Gnomonic.java +++ /dev/null @@ -1,287 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.Gnomonic class - * - * Copyright (c) BMW Car IT GmbH (2014-2019) - * and licensed under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * Gnomonic projection. - *

- * Note: Gnomonic.java has been ported to Java from its C++ equivalent - * Gnomonic.cpp, authored by C. F. F. Karney and licensed under MIT/X11 - * license. The following documentation is mostly the same as for its C++ - * equivalent, but has been adopted to apply to this Java implementation. - *

- * Gnomonic projection centered at an arbitrary position C on the - * ellipsoid. This projection is derived in Section 8 of - *

- *

- * The gnomonic projection of a point P on the ellipsoid is defined as - * follows: compute the geodesic line from C to P; compute the - * reduced length m12, geodesic scale M12, and ρ = - * m12/M12; finally, this gives the coordinates x and - * y of P in gnomonic projection with x = ρ sin - * azi1; y = ρ cos azi1, where azi1 is the - * azimuth of the geodesic at C. The method - * {@link Gnomonic#Forward(double, double, double, double)} performs the - * forward projection and - * {@link Gnomonic#Reverse(double, double, double, double)} is the - * inverse of the projection. The methods also return the azimuth - * azi of the geodesic at P and reciprocal scale - * rk in the azimuthal direction. The scale in the radial - * direction is 1/rk2. - *

- * For a sphere, ρ reduces to a tan(s12/a), where - * s12 is the length of the geodesic from C to P, and the - * gnomonic projection has the property that all geodesics appear as straight - * lines. For an ellipsoid, this property holds only for geodesics interesting - * the centers. However geodesic segments close to the center are approximately - * straight. - *

- * Consider a geodesic segment of length l. Let T be the point on - * the geodesic (extended if necessary) closest to C, the center of the - * projection, and t, be the distance CT. To lowest order, the - * maximum deviation (as a true distance) of the corresponding gnomonic line - * segment (i.e., with the same end points) from the geodesic is
- *
- * (K(T) − K(C)) - * l2 t / 32. - *
- *
- * where K is the Gaussian curvature. - *

- * This result applies for any surface. For an ellipsoid of revolution, - * consider all geodesics whose end points are within a distance r of - * C. For a given r, the deviation is maximum when the latitude - * of C is 45°, when endpoints are a distance r away, and - * when their azimuths from the center are ± 45° or ± - * 135°. To lowest order in r and the flattening f, the - * deviation is f (r/2a)3 r. - *

- * CAUTION: The definition of this projection for a sphere is standard. - * However, there is no standard for how it should be extended to an ellipsoid. - * The choices are: - *

    - *
  • - * Declare that the projection is undefined for an ellipsoid. - *
    • - *
  • - * Project to a tangent plane from the center of the ellipsoid. This causes - * great ellipses to appear as straight lines in the projection; i.e., it - * generalizes the spherical great circle to a great ellipse. This was proposed - * by independently by Bowring and Williams in 1997. - *
    • - *
  • - * Project to the conformal sphere with the constant of integration chosen so - * that the values of the latitude match for the center point and perform a - * central projection onto the plane tangent to the conformal sphere at the - * center point. This causes normal sections through the center point to appear - * as straight lines in the projection; i.e., it generalizes the spherical - * great circle to a normal section. This was proposed by I. G. Letoval'tsev, - * Generalization of the gnomonic projection for a spheroid and the principal - * geodetic problems involved in the alignment of surface routes, Geodesy and - * Aerophotography (5), 271–274 (1963). - *
    • - *
  • - * The projection given here. This causes geodesics close to the center point - * to appear as straight lines in the projection; i.e., it generalizes the - * spherical great circle to a geodesic. - *
    • - *
- *

- * Example of use: - * - * 

- * // Example of using the Gnomonic.java class
- * import net.sf.geographiclib.Geodesic;
- * import net.sf.geographiclib.Gnomonic;
- * import net.sf.geographiclib.GnomonicData;
- * public class ExampleGnomonic {
- *   public static void main(String[] args) {
- *     Geodesic geod = Geodesic.WGS84;
- *     double lat0 = 48 + 50 / 60.0, lon0 = 2 + 20 / 60.0; // Paris
- *     Gnomonic gnom = new Gnomonic(geod);
- *     {
- *       // Sample forward calculation
- *       double lat = 50.9, lon = 1.8; // Calais
- *       GnomonicData proj = gnom.Forward(lat0, lon0, lat, lon);
- *       System.out.println(proj.x + " " + proj.y);
- *     }
- *     {
- *       // Sample reverse calculation
- *       double x = -38e3, y = 230e3;
- *       GnomonicData proj = gnom.Reverse(lat0, lon0, x, y);
- *       System.out.println(proj.lat + " " + proj.lon);
- *     }
- *   }
- * }
- *
- */ - -public class Gnomonic { - private static final double eps_ = 0.01 * Math.sqrt(Math.ulp(1.0)); - private static final int numit_ = 10; - private Geodesic _earth; - private double _a, _f; - - /** - * Constructor for Gnomonic. - *

- * @param earth the {@link Geodesic} object to use for geodesic - * calculations. - */ - public Gnomonic(Geodesic earth) { - _earth = earth; - _a = _earth.EquatorialRadius(); - _f = _earth.Flattening(); - } - - /** - * Forward projection, from geographic to gnomonic. - *

- * @param lat0 latitude of center point of projection (degrees). - * @param lon0 longitude of center point of projection (degrees). - * @param lat latitude of point (degrees). - * @param lon longitude of point (degrees). - * @return {@link GnomonicData} object with the following fields: - * lat0, lon0, lat, lon, x, y, - * azi, rk. - *

- * lat0 and lat should be in the range [−90°, - * 90°] and lon0 and lon should be in the range - * [−540°, 540°). The scale of the projection is - * 1/rk2 in the "radial" direction, azi clockwise - * from true north, and is 1/rk in the direction perpendicular to - * this. If the point lies "over the horizon", i.e., if rk ≤ 0, - * then NaNs are returned for x and y (the correct values are - * returned for azi and rk). A call to Forward followed by a - * call to Reverse will return the original (lat, lon) (to - * within roundoff) provided the point in not over the horizon. - */ - public GnomonicData Forward(double lat0, double lon0, double lat, double lon) - { - GeodesicData inv = - _earth.Inverse(lat0, lon0, lat, lon, - GeodesicMask.AZIMUTH | GeodesicMask.GEODESICSCALE | - GeodesicMask.REDUCEDLENGTH); - GnomonicData fwd = - new GnomonicData(lat0, lon0, lat, lon, Double.NaN, Double.NaN, - inv.azi2, inv.M12); - - if (inv.M12 > 0) { - double rho = inv.m12 / inv.M12; - Pair p = GeoMath.sincosd(inv.azi1); - fwd.x = rho * p.first; - fwd.y = rho * p.second; - } - - return fwd; - } - - /** - * Reverse projection, from gnomonic to geographic. - *

- * @param lat0 latitude of center point of projection (degrees). - * @param lon0 longitude of center point of projection (degrees). - * @param x easting of point (meters). - * @param y northing of point (meters). - * @return {@link GnomonicData} object with the following fields: - * lat0, lon0, lat, lon, x, y, - * azi, rk. - *

- * lat0 should be in the range [−90°, 90°] and - * lon0 should be in the range [−540°, 540°). - * lat will be in the range [−90°, 90°] and lon - * will be in the range [−180°, 180°]. The scale of the - * projection is 1/rk2 in the "radial" direction, - * azi clockwise from true north, and is 1/rk in the direction - * perpendicular to this. Even though all inputs should return a valid - * lat and lon, it's possible that the procedure fails to - * converge for very large x or y; in this case NaNs are - * returned for all the output arguments. A call to Reverse followed by a - * call to Forward will return the original (x, y) (to - * roundoff). - */ - public GnomonicData Reverse(double lat0, double lon0, double x, double y) { - GnomonicData rev = - new GnomonicData(lat0, lon0, Double.NaN, Double.NaN, x, y, Double.NaN, - Double.NaN); - - double azi0 = GeoMath.atan2d(x, y); - double rho = Math.hypot(x, y); - double s = _a * Math.atan(rho / _a); - boolean little = rho <= _a; - - if (!little) - rho = 1 / rho; - - GeodesicLine line = - _earth.Line(lat0, lon0, azi0, GeodesicMask.LATITUDE - | GeodesicMask.LONGITUDE | GeodesicMask.AZIMUTH - | GeodesicMask.DISTANCE_IN | GeodesicMask.REDUCEDLENGTH - | GeodesicMask.GEODESICSCALE); - - int count = numit_, trip = 0; - GeodesicData pos = null; - - while (count-- > 0) { - pos = - line.Position(s, GeodesicMask.LONGITUDE | GeodesicMask.LATITUDE - | GeodesicMask.AZIMUTH | GeodesicMask.DISTANCE_IN - | GeodesicMask.REDUCEDLENGTH - | GeodesicMask.GEODESICSCALE); - - if (trip > 0) - break; - - double ds = - little ? ((pos.m12 / pos.M12) - rho) * pos.M12 * pos.M12 - : (rho - (pos.M12 / pos.m12)) * pos.m12 * pos.m12; - s -= ds; - - if (Math.abs(ds) <= eps_ * _a) - trip++; - } - - if (trip == 0) - return rev; - - rev.lat = pos.lat2; - rev.lon = pos.lon2; - rev.azi = pos.azi2; - rev.rk = pos.M12; - - return rev; - } - - /** - * @return a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - public double EquatorialRadius() { return _a; } - - /** - * @return f the flattening of the ellipsoid. This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - public double Flattening() { return _f; } - - /** - * @deprecated An old name for {@link #EquatorialRadius()}. - * @return a the equatorial radius of the ellipsoid (meters). - **********************************************************************/ - // @Deprecated - public double MajorRadius() { return EquatorialRadius(); } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GnomonicData.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GnomonicData.java deleted file mode 100644 index 6c590e83b4457a209a7ea93d7b8df0b3f7c07df4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/GnomonicData.java +++ /dev/null @@ -1,98 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.GnomonicData class - * - * Copyright (c) BMW Car IT GmbH (2014-2016) - * and licensed under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * The results of gnomonic projection. - *

- - * This is used to return the results for a gnomonic projection of a point - * (lat, lon) given a center point of projection (lat0, - * lon0). The returned GnomonicData objects always include the - * parameters provided to - * {@link Gnomonic#Forward Gnomonic.Forward} - * and - * {@link Gnomonic#Reverse Gnomonic.Reverse} - * and it always includes the fields x, y, azi. and - * rk. - **********************************************************************/ -public class GnomonicData { - /** - * latitude of center point of projection (degrees). - **********************************************************************/ - public double lat0; - /** - * longitude of center point of projection (degrees). - **********************************************************************/ - public double lon0; - /** - * latitude of point (degrees). - **********************************************************************/ - public double lat; - /** - * longitude of point (degrees). - **********************************************************************/ - public double lon; - /** - * easting of point (meters). - **********************************************************************/ - public double x; - /** - * northing of point (meters). - **********************************************************************/ - public double y; - /** - * azimuth of geodesic at point (degrees). - **********************************************************************/ - public double azi; - /** - * reciprocal of azimuthal scale at point. - **********************************************************************/ - public double rk; - - /** - * Initialize all the fields to Double.NaN. - **********************************************************************/ - public GnomonicData() { - lat0 = lon0 = lat = lon = x = y = azi = rk = Double.NaN; - } - - /** - * Constructor initializing all the fields for gnomonic projection of a point - * (lat, lon) given a center point of projection (lat0, - * lon0). - *

- * @param lat0 - * latitude of center point of projection (degrees). - * @param lon0 - * longitude of center point of projection (degrees). - * @param lat - * latitude of point (degrees). - * @param lon - * longitude of point (degrees). - * @param x - * easting of point (meters). - * @param y - * northing of point (meters). - * @param azi - * azimuth of geodesic at point (degrees). - * @param rk - * reciprocal of azimuthal scale at point. - */ - public GnomonicData(double lat0, double lon0, double lat, double lon, - double x, double y, double azi, double rk) { - this.lat0 = lat0; - this.lon0 = lon0; - this.lat = lat; - this.lon = lon; - this.x = x; - this.y = y; - this.azi = azi; - this.rk = rk; - } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Pair.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Pair.java deleted file mode 100644 index 71468e6bbdff26d035720921310cde796b3d188e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/Pair.java +++ /dev/null @@ -1,32 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.Pair class - * - * Copyright (c) Charles Karney (2013) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * A pair of double precision numbers. - *

- * This duplicates the C++ class {@code std::pair}. - **********************************************************************/ -public class Pair { - /** - * The first member of the pair. - **********************************************************************/ - public double first; - /** - * The second member of the pair. - **********************************************************************/ - public double second; - /** - * Constructor - *

- * @param first the first member of the pair. - * @param second the second member of the pair. - **********************************************************************/ - public Pair(double first, double second) - { this.first = first; this.second = second; } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/PolygonArea.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/PolygonArea.java deleted file mode 100644 index f031d6bc650699bd1ca5cc354b64b8f5b25a9804..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/PolygonArea.java +++ /dev/null @@ -1,403 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.PolygonArea class - * - * Copyright (c) Charles Karney (2013-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * Polygon areas. - *

- * This computes the area of a geodesic polygon using the method given - * Section 6 of - *

- *

- * Arbitrarily complex polygons are allowed. In the case self-intersecting of - * polygons the area is accumulated "algebraically", e.g., the areas of the 2 - * loops in a figure-8 polygon will partially cancel. - *

- * This class lets you add vertices one at a time to the polygon. The area - * and perimeter are accumulated at two times the standard floating point - * precision to guard against the loss of accuracy with many-sided polygons. - * At any point you can ask for the perimeter and area so far. There's an - * option to treat the points as defining a polyline instead of a polygon; in - * that case, only the perimeter is computed. - *

- * Example of use: - * 

- * {@code
- * // Compute the area of a geodesic polygon.
- *
- * // This program reads lines with lat, lon for each vertex of a polygon.
- * // At the end of input, the program prints the number of vertices,
- * // the perimeter of the polygon and its area (for the WGS84 ellipsoid).
- *
- * import java.util.*;
- * import net.sf.geographiclib.*;
- *
- * public class Planimeter {
- *   public static void main(String[] args) {
- *     PolygonArea p = new PolygonArea(Geodesic.WGS84, false);
- *     try {
- *       Scanner in = new Scanner(System.in);
- *       while (true) {
- *         double lat = in.nextDouble(), lon = in.nextDouble();
- *         p.AddPoint(lat, lon);
- *       }
- *     }
- *     catch (Exception e) {}
- *     PolygonResult r = p.Compute();
- *     System.out.println(r.num + " " + r.perimeter + " " + r.area);
- *   }
- * }}
- **********************************************************************/ -public class PolygonArea { - - private Geodesic _earth; - private double _area0; // Full ellipsoid area - private boolean _polyline; // Assume polyline (don't close and skip area) - private int _mask; - private int _num; - private int _crossings; - private Accumulator _areasum, _perimetersum; - private double _lat0, _lon0, _lat1, _lon1; - private static int transit(double lon1, double lon2) { - // Return 1 or -1 if crossing prime meridian in east or west direction. - // Otherwise return zero. - // Compute lon12 the same way as Geodesic.Inverse. - lon1 = GeoMath.AngNormalize(lon1); - lon2 = GeoMath.AngNormalize(lon2); - double lon12 = GeoMath.AngDiff(lon1, lon2).first; - int cross = - lon1 <= 0 && lon2 > 0 && lon12 > 0 ? 1 : - (lon2 <= 0 && lon1 > 0 && lon12 < 0 ? -1 : 0); - return cross; - } - // an alternate version of transit to deal with longitudes in the direct - // problem. - private static int transitdirect(double lon1, double lon2) { - // We want to compute exactly - // int(ceil(lon2 / 360)) - int(ceil(lon1 / 360)) - // Since we only need the parity of the result we can use std::remquo but - // this is buggy with g++ 4.8.3 and requires C++11. So instead we do - lon1 = lon1 % 720.0; lon2 = lon2 % 720.0; - return ( ((lon2 <= 0 && lon2 > -360) || lon2 > 360 ? 1 : 0) - - ((lon1 <= 0 && lon1 > -360) || lon1 > 360 ? 1 : 0) ); - } - // reduce Accumulator area to allowed range - private static double AreaReduceA(Accumulator area, double area0, - int crossings, - boolean reverse, boolean sign) { - area.Remainder(area0); - if ((crossings & 1) != 0) - area.Add((area.Sum() < 0 ? 1 : -1) * area0/2); - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area.Negate(); - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area.Sum() > area0/2) - area.Add(-area0); - else if (area.Sum() <= -area0/2) - area.Add(+area0); - } else { - if (area.Sum() >= area0) - area.Add(-area0); - else if (area.Sum() < 0) - area.Add(+area0); - } - return 0 + area.Sum(); - } - // reduce double area to allowed range - private static double AreaReduceB(double area, double area0, - int crossings, - boolean reverse, boolean sign) { - area = GeoMath.remainder(area, area0); - if ((crossings & 1) != 0) - area += (area < 0 ? 1 : -1) * area0/2; - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area *= -1; - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area > area0/2) - area -= area0; - else if (area <= -area0/2) - area += area0; - } else { - if (area >= area0) - area -= area0; - else if (area < 0) - area += area0; - } - return 0 + area; - } - - /** - * Constructor for PolygonArea. - *

- * @param earth the Geodesic object to use for geodesic calculations. - * @param polyline if true that treat the points as defining a polyline - * instead of a polygon. - **********************************************************************/ - public PolygonArea(Geodesic earth, boolean polyline) { - _earth = earth; - _area0 = _earth.EllipsoidArea(); - _polyline = polyline; - _mask = GeodesicMask.LATITUDE | GeodesicMask.LONGITUDE | - GeodesicMask.DISTANCE | - (_polyline ? GeodesicMask.NONE : - GeodesicMask.AREA | GeodesicMask.LONG_UNROLL); - _perimetersum = new Accumulator(0); - if (!_polyline) - _areasum = new Accumulator(0); - Clear(); - } - - /** - * Clear PolygonArea, allowing a new polygon to be started. - **********************************************************************/ - public void Clear() { - _num = 0; - _crossings = 0; - _perimetersum.Set(0); - if (!_polyline) _areasum.Set(0); - _lat0 = _lon0 = _lat1 = _lon1 = Double.NaN; - } - - /** - * Add a point to the polygon or polyline. - *

- * @param lat the latitude of the point (degrees). - * @param lon the latitude of the point (degrees). - *

- * lat should be in the range [−90°, 90°]. - **********************************************************************/ - public void AddPoint(double lat, double lon) { - lon = GeoMath.AngNormalize(lon); - if (_num == 0) { - _lat0 = _lat1 = lat; - _lon0 = _lon1 = lon; - } else { - GeodesicData g = _earth.Inverse(_lat1, _lon1, lat, lon, _mask); - _perimetersum.Add(g.s12); - if (!_polyline) { - _areasum.Add(g.S12); - _crossings += transit(_lon1, lon); - } - _lat1 = lat; _lon1 = lon; - } - ++_num; - } - - /** - * Add an edge to the polygon or polyline. - *

- * @param azi azimuth at current point (degrees). - * @param s distance from current point to next point (meters). - *

- * This does nothing if no points have been added yet. Use - * PolygonArea.CurrentPoint to determine the position of the new vertex. - **********************************************************************/ - public void AddEdge(double azi, double s) { - if (_num > 0) { // Do nothing if _num is zero - GeodesicData g = _earth.Direct(_lat1, _lon1, azi, s, _mask); - _perimetersum.Add(g.s12); - if (!_polyline) { - _areasum.Add(g.S12); - _crossings += transitdirect(_lon1, g.lon2); - } - _lat1 = g.lat2; _lon1 = g.lon2; - ++_num; - } - } - - /** - * Return the results so far. - *

- * @return PolygonResult(num, perimeter, area) where - * num is the number of vertices, perimeter is the perimeter - * of the polygon or the length of the polyline (meters), and area - * is the area of the polygon (meters2) or Double.NaN of - * polyline is true in the constructor. - *

- * Counter-clockwise traversal counts as a positive area. - **********************************************************************/ - public PolygonResult Compute() { return Compute(false, true); } - /** - * Return the results so far. - *

- * @param reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @return PolygonResult(num, perimeter, area) where - * num is the number of vertices, perimeter is the perimeter - * of the polygon or the length of the polyline (meters), and area - * is the area of the polygon (meters2) or Double.NaN of - * polyline is true in the constructor. - *

- * More points can be added to the polygon after this call. - **********************************************************************/ - public PolygonResult Compute(boolean reverse, boolean sign) { - if (_num < 2) - return new PolygonResult(_num, 0, _polyline ? Double.NaN : 0); - if (_polyline) - return new PolygonResult(_num, _perimetersum.Sum(), Double.NaN); - - GeodesicData g = _earth.Inverse(_lat1, _lon1, _lat0, _lon0, _mask); - Accumulator tempsum = new Accumulator(_areasum); - tempsum.Add(g.S12); - - return - new PolygonResult(_num, _perimetersum.Sum(g.s12), - AreaReduceA(tempsum, _area0, - _crossings + transit(_lon1, _lon0), - reverse, sign)); - } - - /** - * Return the results assuming a tentative final test point is added; - * however, the data for the test point is not saved. This lets you report - * a running result for the perimeter and area as the user moves the mouse - * cursor. Ordinary floating point arithmetic is used to accumulate the - * data for the test point; thus the area and perimeter returned are less - * accurate than if AddPoint and Compute are used. - *

- * @param lat the latitude of the test point (degrees). - * @param lon the longitude of the test point (degrees). - * @param reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @return PolygonResult(num, perimeter, area) where - * num is the number of vertices, perimeter is the perimeter - * of the polygon or the length of the polyline (meters), and area - * is the area of the polygon (meters2) or Double.NaN of - * polyline is true in the constructor. - *

- * lat should be in the range [−90°, 90°]. - **********************************************************************/ - public PolygonResult TestPoint(double lat, double lon, - boolean reverse, boolean sign) { - if (_num == 0) - return new PolygonResult(1, 0, _polyline ? Double.NaN : 0); - - double perimeter = _perimetersum.Sum(); - double tempsum = _polyline ? 0 : _areasum.Sum(); - int crossings = _crossings; - int num = _num + 1; - for (int i = 0; i < (_polyline ? 1 : 2); ++i) { - GeodesicData g = - _earth.Inverse(i == 0 ? _lat1 : lat, i == 0 ? _lon1 : lon, - i != 0 ? _lat0 : lat, i != 0 ? _lon0 : lon, - _mask); - perimeter += g.s12; - if (!_polyline) { - tempsum += g.S12; - crossings += transit(i == 0 ? _lon1 : lon, - i != 0 ? _lon0 : lon); - } - } - - if (_polyline) - return new PolygonResult(num, perimeter, Double.NaN); - - return new PolygonResult(num, perimeter, - AreaReduceB(tempsum, _area0, crossings, - reverse, sign)); - } - - /** - * Return the results assuming a tentative final test point is added via an - * azimuth and distance; however, the data for the test point is not saved. - * This lets you report a running result for the perimeter and area as the - * user moves the mouse cursor. Ordinary floating point arithmetic is used - * to accumulate the data for the test point; thus the area and perimeter - * returned are less accurate than if AddPoint and Compute are used. - *

- * @param azi azimuth at current point (degrees). - * @param s distance from current point to final test point (meters). - * @param reverse if true then clockwise (instead of counter-clockwise) - * traversal counts as a positive area. - * @param sign if true then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @return PolygonResult(num, perimeter, area) where - * num is the number of vertices, perimeter is the perimeter - * of the polygon or the length of the polyline (meters), and area - * is the area of the polygon (meters2) or Double.NaN of - * polyline is true in the constructor. - **********************************************************************/ - public PolygonResult TestEdge(double azi, double s, - boolean reverse, boolean sign) { - if (_num == 0) // we don't have a starting point! - return new PolygonResult(0, Double.NaN, Double.NaN); - - int num = _num + 1; - double perimeter = _perimetersum.Sum() + s; - if (_polyline) - return new PolygonResult(num, perimeter, Double.NaN); - - double tempsum = _areasum.Sum(); - int crossings = _crossings; - { - double lat, lon, s12, S12, t; - GeodesicData g = - _earth.Direct(_lat1, _lon1, azi, false, s, _mask); - tempsum += g.S12; - crossings += transitdirect(_lon1, g.lon2); - crossings += transit(g.lon2, _lon0); - g = _earth.Inverse(g.lat2, g.lon2, _lat0, _lon0, _mask); - perimeter += g.s12; - tempsum += g.S12; - } - - return new PolygonResult(num, perimeter, - AreaReduceB(tempsum, _area0, crossings, - reverse, sign)); - } - - /** - * @return a the equatorial radius of the ellipsoid (meters). This is - * the value inherited from the Geodesic object used in the constructor. - **********************************************************************/ - public double EquatorialRadius() { return _earth.EquatorialRadius(); } - - /** - * @return f the flattening of the ellipsoid. This is the value - * inherited from the Geodesic object used in the constructor. - **********************************************************************/ - public double Flattening() { return _earth.Flattening(); } - - /** - * Report the previous vertex added to the polygon or polyline. - *

- * @return Pair(lat, lon), the current latitude and longitude. - *

- * If no points have been added, then Double.NaN is returned. Otherwise, - * lon will be in the range [−180°, 180°]. - **********************************************************************/ - public Pair CurrentPoint() { return new Pair(_lat1, _lon1); } - - /** - * @deprecated An old name for {@link #EquatorialRadius()}. - * @return a the equatorial radius of the ellipsoid (meters). - **********************************************************************/ - // @Deprecated - public double MajorRadius() { return EquatorialRadius(); } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/PolygonResult.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/PolygonResult.java deleted file mode 100644 index e82b6864e2e3323bde9fc33c710714b543bf25d4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/PolygonResult.java +++ /dev/null @@ -1,39 +0,0 @@ -/** - * Implementation of the net.sf.geographiclib.PolygonResult class - * - * Copyright (c) Charles Karney (2013) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ -package net.sf.geographiclib; - -/** - * A container for the results from PolygonArea. - **********************************************************************/ -public class PolygonResult { - /** - * The number of vertices in the polygon - **********************************************************************/ - public int num; - /** - * The perimeter of the polygon or the length of the polyline (meters). - **********************************************************************/ - public double perimeter; - /** - * The area of the polygon (meters2). - **********************************************************************/ - public double area; - /** - * Constructor - *

- * @param num the number of vertices in the polygon. - * @param perimeter the perimeter of the polygon or the length of the - * polyline (meters). - * @param area the area of the polygon (meters2). - **********************************************************************/ - public PolygonResult(int num, double perimeter, double area) { - this.num = num; - this.perimeter = perimeter; - this.area = area; - } -} diff --git a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/package-info.java b/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/package-info.java deleted file mode 100644 index 33b615dde78c595eae071e8e85dbc970a70c3016..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/main/java/net/sf/geographiclib/package-info.java +++ /dev/null @@ -1,366 +0,0 @@ -/** - *

Geodesic routines from GeographicLib implemented in Java

- * @author Charles F. F. Karney (charles@karney.com) - * @version 1.50 - * - *

- * The documentation for other versions is available at - * https://geographiclib.sourceforge.io/m.nn/java for versions numbers - * m.nn ≥ 1.31. - *

- * Licensed under the - * MIT/X11 License; see - * - * LICENSE.txt. - * - *

Abstract

- *

- * GeographicLib-Java is a Java implementation of the geodesic algorithms from - * GeographicLib. This is a - * self-contained library which makes it easy to do geodesic computations for - * an ellipsoid of revolution in a Java program. It requires Java version 1.2 - * or later. - * - *

Downloading

- *

- * Download either the source or the pre-built package as follows: - * - *

Obtaining the source

- * GeographicLib-Java is part of GeographicLib which available for download at - * - *

- * as either a compressed tar file (tar.gz) or a zip file. After unpacking - * the source, the Java library can be found in GeographicLib-1.50/java. (This - * library is completely independent from the rest of GeodegraphicLib.) The - * library consists of the files in the src/main/java/net/sf/geographiclib - * subdirectory. - * - *

The pre-built package

- * GeographicLib-Java is available as a pre-built package on Maven Central - * (thanks to Chris Bennight for help on this deployment). So, if you use - * maven to build your code, you just - * need to include the dependency 
{@code
- *   
- *     net.sf.geographiclib
- *     GeographicLib-Java
- *     1.50
- *    }
- * in your {@code pom.xml}. - * - *

Sample programs

- *

- * Included with the source are 3 small test programs - *

    - *
  • - * {@code direct/src/main/java/Direct.java} is a simple command line utility - * for solving the direct geodesic problem; - *
  • - * {@code inverse/src/main/java/Inverse.java} is a simple command line - * utility for solving the inverse geodesic problem; - *
  • - * {@code planimeter/src/main/java/Planimeter.java} is a simple command line - * utility for computing the area of a geodesic polygon given its vertices. - *
- *

- * Here, for example, is {@code Inverse.java} 

{@code
- * // Solve the inverse geodesic problem.
- *
- * // This program reads in lines with lat1, lon1, lat2, lon2 and prints
- * // out lines with azi1, azi2, s12 (for the WGS84 ellipsoid).
- *
- * import java.util.*;
- * import net.sf.geographiclib.*;
- * public class Inverse {
- *   public static void main(String[] args) {
- *     try {
- *       Scanner in = new Scanner(System.in);
- *       double lat1, lon1, lat2, lon2;
- *       while (true) {
- *         lat1 = in.nextDouble(); lon1 = in.nextDouble();
- *         lat2 = in.nextDouble(); lon2 = in.nextDouble();
- *         GeodesicData g = Geodesic.WGS84.Inverse(lat1, lon1, lat2, lon2);
- *         System.out.println(g.azi1 + " " + g.azi2 + " " + g.s12);
- *       }
- *     }
- *     catch (Exception e) {}
- *   }
- * }}
- * - *

Compiling and running a sample program

- *

- * Three difference ways of compiling and running {@code Inverse.java} are - * given. These differ in the degree to which they utilize - * maven to manage your Java code and - * its dependencies. (Thanks to Skip Breidbach for supplying the maven - * support.) - * - *

Without using maven

- * Compile and run as follows 
- * cd inverse/src/main/java
- * javac -cp .:../../../../src/main/java Inverse.java
- * echo -30 0 29.5 179.5 | java -cp .:../../../../src/main/java Inverse
- * On Windows, change this to 
- * cd inverse\src\main\java
- * javac -cp .;../../../../src/main/java Inverse.java
- * echo -30 0 29.5 179.5 | java -cp .;../../../../src/main/java Inverse
- * - *

Using maven to package GeographicLib

- * Use maven to create a jar file by - * running (in the main java directory) 
- * mvn package
- * (Your first run of maven may take a long time, because it needs to download - * some additional packages to your local repository.) Then compile and run - * Inverse.java with 
- * cd inverse/src/main/java
- * javac -cp .:../../../../target/GeographicLib-Java-1.50.jar Inverse.java
- * echo -30 0 29.5 179.5 |
- *   java -cp .:../../../../target/GeographicLib-Java-1.50.jar Inverse
- * - *

Using maven to build and run {@code Inverse.java}

- * The sample code includes a {@code pom.xml} which specifies - * GeographicLib-Java as a dependency. You can build and install this - * dependency by running (in the main java directory) 
- * mvn install
- * Alternatively, you can let maven download it from Maven Central. You can - * compile and run Inverse.java with 
- * cd inverse
- * mvn compile
- * echo -30 0 29.5 179.5 | mvn -q exec:java
- * - *

Using the library

- *
    - *
  • - * Put 
    - *   import net.sf.geographiclib.*
    - * in your source code. - *
  • - * Make calls to the geodesic routines from your code. - *
  • - * Compile and run in one of the ways described above. - *
- *

- * The important classes are - *

    - *
  • - * {@link net.sf.geographiclib.Geodesic}, for direct and inverse geodesic - * calculations; - *
  • - * {@link net.sf.geographiclib.GeodesicLine}, an efficient way of - * calculating multiple points on a single geodesic; - *
  • - * {@link net.sf.geographiclib.GeodesicData}, the object containing the - * results of the geodesic calculations; - *
  • - * {@link net.sf.geographiclib.GeodesicMask}, the constants that let you - * specify the variables to return in {@link - * net.sf.geographiclib.GeodesicData} and the capabilities of a {@link - * net.sf.geographiclib.GeodesicLine}; - *
  • - * {@link net.sf.geographiclib.Constants}, the parameters for the WGS84 - * ellipsoid; - *
  • - * {@link net.sf.geographiclib.PolygonArea}, a class to compute the - * perimeter and area of a geodesic polygon (returned as a {@link - * net.sf.geographiclib.PolygonResult}). - *
- *

- * The documentation is generated using javadoc when - * {@code mvn package -P release} is run (the top of the documentation tree is - * {@code target/apidocs/index.html}). This is also available on the web at - * - * https://geographiclib.sourceforge.io/html/java/index.html. - * - *

External links

- * - * - *

Change log

- *
    - *
  • - * Version 1.50 - * (released 2019-09-24) - *
      - *
    • - * {@link net.sf.geographiclib.PolygonArea} can now handle arbitrarily - * complex polygons. In the case of self-intersecting polygons the area is - * accumulated "algebraically", e.g., the areas of the 2 loops in a figure-8 - * polygon will partially cancel. - *
    • - * Fix two bugs in the computation of areas when some vertices are specified - * by an added edge. - *
    • - * Require Java 1.6 or later and so remove epsilon, min, hypot, log1p, - * copysign, cbrt from GeoMath. - *
    • - * GeoMath.cbrt, GeoMath.atanh, and GeoMath.asinh preserve the sign of - * −0. - *
    - *
  • - * Version 1.49 - * (released 2017-10-05) - *
      - *
    • - * Fix code formatting and add two tests. - *
    - *
  • - * Version 1.48 - * (released 2017-04-09) - *
      - *
    • - * Change default range for longitude and azimuth to - * (−180°, 180°] (instead of [−180°, 180°)). - *
    - *
  • - * Version 1.47 - * (released 2017-02-15) - *
      - *
    • - * Improve accuracy of area calculation (fixing a flaw introduced in - * version 1.46). - *
    - *
  • - * Version 1.46 - * (released 2016-02-15) - *
      - *
    • - * Fix bug where the wrong longitude was being returned with direct geodesic - * calculation with a negative distance when starting point was at a pole - * (this bug was introduced in version 1.44). - *
    • - * Add Geodesic.DirectLine, Geodesic.ArcDirectLine, Geodesic.GenDirectLine, - * Geodesic.InverseLine, GeodesicLine.SetDistance, GeodesicLine.SetArc, - * GeodesicLine.GenSetDistance, GeodesicLine.Distance, GeodesicLine.Arc, - * GeodesicLine.GenDistance. - *
    • - * More accurate inverse solution when longitude difference is close to - * 180°. - *
    • - * GeoMath.AngDiff now returns a Pair. - *
    - *
  • - * Version 1.45 - * (released 2015-09-30) - *
      - *
    • - * The solution of the inverse problem now correctly returns NaNs if - * one of the latitudes is a NaN. - *
    • - * Add implementation of the ellipsoidal - * {@link net.sf.geographiclib.Gnomonic} (courtesy of Sebastian Mattheis). - *
    • - * Math.toRadians and Math.toDegrees are used instead of GeoMath.degree - * (which is now removed). This requires Java 1.2 or later (released - * 1998-12). - *
    - *
  • - * Version 1.44 - * (released 2015-08-14) - *
      - *
    • - * Improve accuracy of calculations by evaluating trigonometric - * functions more carefully and replacing the series for the reduced - * length with one with a smaller truncation error. - *
    • - * The allowed ranges for longitudes and azimuths is now unlimited; - * it used to be [−540°, 540°). - *
    • - * Enforce the restriction of latitude to [−90°, 90°] by - * returning NaNs if the latitude is outside this range. - *
    • - * Geodesic.Inverse sets s12 to zero for coincident points at pole - * (instead of returning a tiny quantity). - *
    • - * Geodesic.Inverse pays attentions to the GeodesicMask.LONG_UNROLL bit in - * outmask. - *
    - *
- **********************************************************************/ -package net.sf.geographiclib; diff --git a/libs/GeographicLib-1.50.1/java/src/test/java/net/sf/geographiclib/GeodesicTest.java b/libs/GeographicLib-1.50.1/java/src/test/java/net/sf/geographiclib/GeodesicTest.java deleted file mode 100644 index 13151081ea7516025ed3b06e27fa583d39f35ca5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/java/src/test/java/net/sf/geographiclib/GeodesicTest.java +++ /dev/null @@ -1,867 +0,0 @@ -package net.sf.geographiclib.test; - -import static org.junit.Assert.assertEquals; -import static org.junit.Assert.assertTrue; -import org.junit.Test; -import net.sf.geographiclib.*; - -public class GeodesicTest { - - private static boolean isNaN(double x) { return x != x; } - private static final PolygonArea polygon = - new PolygonArea(Geodesic.WGS84, false); - private static final PolygonArea polyline = - new PolygonArea(Geodesic.WGS84, true); - - private static PolygonResult Planimeter(double points[][]) { - polygon.Clear(); - for (int i = 0; i < points.length; ++i) { - polygon.AddPoint(points[i][0], points[i][1]); - } - return polygon.Compute(false, true); - } - - private static PolygonResult PolyLength(double points[][]) { - polyline.Clear(); - for (int i = 0; i < points.length; ++i) { - polyline.AddPoint(points[i][0], points[i][1]); - } - return polyline.Compute(false, true); - } - - private static final double testcases[][] = { - {35.60777, -139.44815, 111.098748429560326, - -11.17491, -69.95921, 129.289270889708762, - 8935244.5604818305, 80.50729714281974, 6273170.2055303837, - 0.16606318447386067, 0.16479116945612937, 12841384694976.432}, - {55.52454, 106.05087, 22.020059880982801, - 77.03196, 197.18234, 109.112041110671519, - 4105086.1713924406, 36.892740690445894, 3828869.3344387607, - 0.80076349608092607, 0.80101006984201008, 61674961290615.615}, - {-21.97856, 142.59065, -32.44456876433189, - 41.84138, 98.56635, -41.84359951440466, - 8394328.894657671, 75.62930491011522, 6161154.5773110616, - 0.24816339233950381, 0.24930251203627892, -6637997720646.717}, - {-66.99028, 112.2363, 173.73491240878403, - -12.70631, 285.90344, 2.512956620913668, - 11150344.2312080241, 100.278634181155759, 6289939.5670446687, - -0.17199490274700385, -0.17722569526345708, -121287239862139.744}, - {-17.42761, 173.34268, -159.033557661192928, - -15.84784, 5.93557, -20.787484651536988, - 16076603.1631180673, 144.640108810286253, 3732902.1583877189, - -0.81273638700070476, -0.81299800519154474, 97825992354058.708}, - {32.84994, 48.28919, 150.492927788121982, - -56.28556, 202.29132, 48.113449399816759, - 16727068.9438164461, 150.565799985466607, 3147838.1910180939, - -0.87334918086923126, -0.86505036767110637, -72445258525585.010}, - {6.96833, 52.74123, 92.581585386317712, - -7.39675, 206.17291, 90.721692165923907, - 17102477.2496958388, 154.147366239113561, 2772035.6169917581, - -0.89991282520302447, -0.89986892177110739, -1311796973197.995}, - {-50.56724, -16.30485, -105.439679907590164, - -33.56571, -94.97412, -47.348547835650331, - 6455670.5118668696, 58.083719495371259, 5409150.7979815838, - 0.53053508035997263, 0.52988722644436602, 41071447902810.047}, - {-58.93002, -8.90775, 140.965397902500679, - -8.91104, 133.13503, 19.255429433416599, - 11756066.0219864627, 105.755691241406877, 6151101.2270708536, - -0.26548622269867183, -0.27068483874510741, -86143460552774.735}, - {-68.82867, -74.28391, 93.774347763114881, - -50.63005, -8.36685, 34.65564085411343, - 3956936.926063544, 35.572254987389284, 3708890.9544062657, - 0.81443963736383502, 0.81420859815358342, -41845309450093.787}, - {-10.62672, -32.0898, -86.426713286747751, - 5.883, -134.31681, -80.473780971034875, - 11470869.3864563009, 103.387395634504061, 6184411.6622659713, - -0.23138683500430237, -0.23155097622286792, 4198803992123.548}, - {-21.76221, 166.90563, 29.319421206936428, - 48.72884, 213.97627, 43.508671946410168, - 9098627.3986554915, 81.963476716121964, 6299240.9166992283, - 0.13965943368590333, 0.14152969707656796, 10024709850277.476}, - {-19.79938, -174.47484, 71.167275780171533, - -11.99349, -154.35109, 65.589099775199228, - 2319004.8601169389, 20.896611684802389, 2267960.8703918325, - 0.93427001867125849, 0.93424887135032789, -3935477535005.785}, - {-11.95887, -116.94513, 92.712619830452549, - 4.57352, 7.16501, 78.64960934409585, - 13834722.5801401374, 124.688684161089762, 5228093.177931598, - -0.56879356755666463, -0.56918731952397221, -9919582785894.853}, - {-87.85331, 85.66836, -65.120313040242748, - 66.48646, 16.09921, -4.888658719272296, - 17286615.3147144645, 155.58592449699137, 2635887.4729110181, - -0.90697975771398578, -0.91095608883042767, 42667211366919.534}, - {1.74708, 128.32011, -101.584843631173858, - -11.16617, 11.87109, -86.325793296437476, - 12942901.1241347408, 116.650512484301857, 5682744.8413270572, - -0.44857868222697644, -0.44824490340007729, 10763055294345.653}, - {-25.72959, -144.90758, -153.647468693117198, - -57.70581, -269.17879, -48.343983158876487, - 9413446.7452453107, 84.664533838404295, 6356176.6898881281, - 0.09492245755254703, 0.09737058264766572, 74515122850712.444}, - {-41.22777, 122.32875, 14.285113402275739, - -7.57291, 130.37946, 10.805303085187369, - 3812686.035106021, 34.34330804743883, 3588703.8812128856, - 0.82605222593217889, 0.82572158200920196, -2456961531057.857}, - {11.01307, 138.25278, 79.43682622782374, - 6.62726, 247.05981, 103.708090215522657, - 11911190.819018408, 107.341669954114577, 6070904.722786735, - -0.29767608923657404, -0.29785143390252321, 17121631423099.696}, - {-29.47124, 95.14681, -163.779130441688382, - -27.46601, -69.15955, -15.909335945554969, - 13487015.8381145492, 121.294026715742277, 5481428.9945736388, - -0.51527225545373252, -0.51556587964721788, 104679964020340.318}}; - - @Test - public void InverseCheck() { - for (int i = 0; i < testcases.length; ++i) { - double - lat1 = testcases[i][0], lon1 = testcases[i][1], azi1 = testcases[i][2], - lat2 = testcases[i][3], lon2 = testcases[i][4], azi2 = testcases[i][5], - s12 = testcases[i][6], a12 = testcases[i][7], m12 = testcases[i][8], - M12 = testcases[i][9], M21 = testcases[i][10], S12 = testcases[i][11]; - GeodesicData inv = Geodesic.WGS84.Inverse(lat1, lon1, lat2, lon2, - GeodesicMask.ALL | - GeodesicMask.LONG_UNROLL); - assertEquals(lon2, inv.lon2, 1e-13); - assertEquals(azi1, inv.azi1, 1e-13); - assertEquals(azi2, inv.azi2, 1e-13); - assertEquals(s12, inv.s12, 1e-8); - assertEquals(a12, inv.a12, 1e-13); - assertEquals(m12, inv.m12, 1e-8); - assertEquals(M12, inv.M12, 1e-15); - assertEquals(M21, inv.M21, 1e-15); - assertEquals(S12, inv.S12, 0.1); - } - } - - @Test - public void DirectCheck() { - for (int i = 0; i < testcases.length; ++i) { - double - lat1 = testcases[i][0], lon1 = testcases[i][1], azi1 = testcases[i][2], - lat2 = testcases[i][3], lon2 = testcases[i][4], azi2 = testcases[i][5], - s12 = testcases[i][6], a12 = testcases[i][7], m12 = testcases[i][8], - M12 = testcases[i][9], M21 = testcases[i][10], S12 = testcases[i][11]; - GeodesicData dir = Geodesic.WGS84.Direct(lat1, lon1, azi1, s12, - GeodesicMask.ALL | - GeodesicMask.LONG_UNROLL); - assertEquals(lat2, dir.lat2, 1e-13); - assertEquals(lon2, dir.lon2, 1e-13); - assertEquals(azi2, dir.azi2, 1e-13); - assertEquals(a12, dir.a12, 1e-13); - assertEquals(m12, dir.m12, 1e-8); - assertEquals(M12, dir.M12, 1e-15); - assertEquals(M21, dir.M21, 1e-15); - assertEquals(S12, dir.S12, 0.1); - } - } - - @Test - public void ArcDirectCheck() { - for (int i = 0; i < testcases.length; ++i) { - double - lat1 = testcases[i][0], lon1 = testcases[i][1], azi1 = testcases[i][2], - lat2 = testcases[i][3], lon2 = testcases[i][4], azi2 = testcases[i][5], - s12 = testcases[i][6], a12 = testcases[i][7], m12 = testcases[i][8], - M12 = testcases[i][9], M21 = testcases[i][10], S12 = testcases[i][11]; - GeodesicData dir = Geodesic.WGS84.ArcDirect(lat1, lon1, azi1, a12, - GeodesicMask.ALL | - GeodesicMask.LONG_UNROLL); - assertEquals(lat2, dir.lat2, 1e-13); - assertEquals(lon2, dir.lon2, 1e-13); - assertEquals(azi2, dir.azi2, 1e-13); - assertEquals(s12, dir.s12, 1e-8); - assertEquals(m12, dir.m12, 1e-8); - assertEquals(M12, dir.M12, 1e-15); - assertEquals(M21, dir.M21, 1e-15); - assertEquals(S12, dir.S12, 0.1); - } - } - - @Test - public void GeodSolve0() { - GeodesicData inv = Geodesic.WGS84.Inverse(40.6, -73.8, - 49.01666667, 2.55); - assertEquals(inv.azi1, 53.47022, 0.5e-5); - assertEquals(inv.azi2, 111.59367, 0.5e-5); - assertEquals(inv.s12, 5853226, 0.5); - } - - @Test - public void GeodSolve1() { - GeodesicData dir = Geodesic.WGS84.Direct(40.63972222, -73.77888889, - 53.5, 5850e3); - assertEquals(dir.lat2, 49.01467, 0.5e-5); - assertEquals(dir.lon2, 2.56106, 0.5e-5); - assertEquals(dir.azi2, 111.62947, 0.5e-5); - } - - @Test - public void GeodSolve2() { - // Check fix for antipodal prolate bug found 2010-09-04 - Geodesic geod = new Geodesic(6.4e6, -1/150.0); - GeodesicData inv = geod.Inverse(0.07476, 0, -0.07476, 180); - assertEquals(inv.azi1, 90.00078, 0.5e-5); - assertEquals(inv.azi2, 90.00078, 0.5e-5); - assertEquals(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0.1, 0, -0.1, 180); - assertEquals(inv.azi1, 90.00105, 0.5e-5); - assertEquals(inv.azi2, 90.00105, 0.5e-5); - assertEquals(inv.s12, 20106193, 0.5); - } - - @Test - public void GeodSolve4() { - // Check fix for short line bug found 2010-05-21 - GeodesicData inv = Geodesic.WGS84.Inverse(36.493349428792, 0, - 36.49334942879201, .0000008); - assertEquals(inv.s12, 0.072, 0.5e-3); - } - - @Test - public void GeodSolve5() { - // Check fix for point2=pole bug found 2010-05-03 - GeodesicData dir = Geodesic.WGS84.Direct(0.01777745589997, 30, 0, 10e6); - assertEquals(dir.lat2, 90, 0.5e-5); - if (dir.lon2 < 0) { - assertEquals(dir.lon2, -150, 0.5e-5); - assertEquals(Math.abs(dir.azi2), 180, 0.5e-5); - } else { - assertEquals(dir.lon2, 30, 0.5e-5); - assertEquals(dir.azi2, 0, 0.5e-5); - } - } - - @Test - public void GeodSolve6() { - // Check fix for volatile sbet12a bug found 2011-06-25 (gcc 4.4.4 - // x86 -O3). Found again on 2012-03-27 with tdm-mingw32 (g++ 4.6.1). - GeodesicData inv = - Geodesic.WGS84.Inverse(88.202499451857, 0, - -88.202499451857, 179.981022032992859592); - assertEquals(inv.s12, 20003898.214, 0.5e-3); - inv = Geodesic.WGS84.Inverse(89.262080389218, 0, - -89.262080389218, 179.992207982775375662); - assertEquals(inv.s12, 20003925.854, 0.5e-3); - inv = Geodesic.WGS84.Inverse(89.333123580033, 0, -89.333123580032997687, - 179.99295812360148422); - assertEquals(inv.s12, 20003926.881, 0.5e-3); - } - - @Test - public void GeodSolve9() { - // Check fix for volatile x bug found 2011-06-25 (gcc 4.4.4 x86 -O3) - GeodesicData inv = - Geodesic.WGS84.Inverse(56.320923501171, 0, - -56.320923501171, 179.664747671772880215); - assertEquals(inv.s12, 19993558.287, 0.5e-3); - } - - @Test - public void GeodSolve10() { - // Check fix for adjust tol1_ bug found 2011-06-25 (Visual Studio - // 10 rel + debug) - GeodesicData inv = - Geodesic.WGS84.Inverse(52.784459512564, 0, - -52.784459512563990912, 179.634407464943777557); - assertEquals(inv.s12, 19991596.095, 0.5e-3); - } - - @Test - public void GeodSolve11() { - // Check fix for bet2 = -bet1 bug found 2011-06-25 (Visual Studio - // 10 rel + debug) - GeodesicData inv = - Geodesic.WGS84.Inverse(48.522876735459, 0, - -48.52287673545898293, 179.599720456223079643); - assertEquals(inv.s12, 19989144.774, 0.5e-3); - } - - @Test - public void GeodSolve12() { - // Check fix for inverse geodesics on extreme prolate/oblate - // ellipsoids Reported 2012-08-29 Stefan Guenther - // ; fixed 2012-10-07 - Geodesic geod = new Geodesic(89.8, -1.83); - GeodesicData inv = geod.Inverse(0, 0, -10, 160); - assertEquals(inv.azi1, 120.27, 1e-2); - assertEquals(inv.azi2, 105.15, 1e-2); - assertEquals(inv.s12, 266.7, 1e-1); - } - - @Test - public void GeodSolve14() { - // Check fix for inverse ignoring lon12 = nan - GeodesicData inv = Geodesic.WGS84.Inverse(0, 0, 1, Double.NaN); - assertTrue(isNaN(inv.azi1)); - assertTrue(isNaN(inv.azi2)); - assertTrue(isNaN(inv.s12)); - } - - @Test - public void GeodSolve15() { - // Initial implementation of Math::eatanhe was wrong for e^2 < 0. This - // checks that this is fixed. - Geodesic geod = new Geodesic(6.4e6, -1/150.0); - GeodesicData dir = geod.Direct(1, 2, 3, 4, GeodesicMask.AREA); - assertEquals(dir.S12, 23700, 0.5); - } - - @Test - public void GeodSolve17() { - // Check fix for LONG_UNROLL bug found on 2015-05-07 - GeodesicData dir = - Geodesic.WGS84.Direct(40, -75, -10, 2e7, - GeodesicMask.STANDARD | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat2, -39, 1); - assertEquals(dir.lon2, -254, 1); - assertEquals(dir.azi2, -170, 1); - GeodesicLine line = Geodesic.WGS84.Line(40, -75, -10); - dir = line.Position(2e7, GeodesicMask.STANDARD | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat2, -39, 1); - assertEquals(dir.lon2, -254, 1); - assertEquals(dir.azi2, -170, 1); - dir = Geodesic.WGS84.Direct(40, -75, -10, 2e7); - assertEquals(dir.lat2, -39, 1); - assertEquals(dir.lon2, 105, 1); - assertEquals(dir.azi2, -170, 1); - dir = line.Position(2e7); - assertEquals(dir.lat2, -39, 1); - assertEquals(dir.lon2, 105, 1); - assertEquals(dir.azi2, -170, 1); - } - - @Test - public void GeodSolve26() { - // Check 0/0 problem with area calculation on sphere 2015-09-08 - Geodesic geod = new Geodesic(6.4e6, 0); - GeodesicData inv = geod.Inverse(1, 2, 3, 4, GeodesicMask.AREA); - assertEquals(inv.S12, 49911046115.0, 0.5); - } - - @Test - public void GeodSolve28() { - // Check for bad placement of assignment of r.a12 with |f| > 0.01 (bug in - // Java implementation fixed on 2015-05-19). - Geodesic geod = new Geodesic(6.4e6, 0.1); - GeodesicData dir = geod.Direct(1, 2, 10, 5e6); - assertEquals(dir.a12, 48.55570690, 0.5e-8); - } - - @Test - public void GeodSolve29() { - // Check longitude unrolling with inverse calculation 2015-09-16 - GeodesicData dir = Geodesic.WGS84.Inverse(0, 539, 0, 181); - assertEquals(dir.lon1, 179, 1e-10); - assertEquals(dir.lon2, -179, 1e-10); - assertEquals(dir.s12, 222639, 0.5); - dir = Geodesic.WGS84.Inverse(0, 539, 0, 181, - GeodesicMask.STANDARD | - GeodesicMask.LONG_UNROLL); - assertEquals(dir.lon1, 539, 1e-10); - assertEquals(dir.lon2, 541, 1e-10); - assertEquals(dir.s12, 222639, 0.5); - } - - @Test - public void GeodSolve33() { - // Check max(-0.0,+0.0) issues 2015-08-22 (triggered by bugs in Octave -- - // sind(-0.0) = +0.0 -- and in some version of Visual Studio -- - // fmod(-0.0, 360.0) = +0.0. - GeodesicData inv = Geodesic.WGS84.Inverse(0, 0, 0, 179); - assertEquals(inv.azi1, 90.00000, 0.5e-5); - assertEquals(inv.azi2, 90.00000, 0.5e-5); - assertEquals(inv.s12, 19926189, 0.5); - inv = Geodesic.WGS84.Inverse(0, 0, 0, 179.5); - assertEquals(inv.azi1, 55.96650, 0.5e-5); - assertEquals(inv.azi2, 124.03350, 0.5e-5); - assertEquals(inv.s12, 19980862, 0.5); - inv = Geodesic.WGS84.Inverse(0, 0, 0, 180); - assertEquals(inv.azi1, 0.00000, 0.5e-5); - assertEquals(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assertEquals(inv.s12, 20003931, 0.5); - inv = Geodesic.WGS84.Inverse(0, 0, 1, 180); - assertEquals(inv.azi1, 0.00000, 0.5e-5); - assertEquals(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assertEquals(inv.s12, 19893357, 0.5); - Geodesic geod = new Geodesic(6.4e6, 0); - inv = geod.Inverse(0, 0, 0, 179); - assertEquals(inv.azi1, 90.00000, 0.5e-5); - assertEquals(inv.azi2, 90.00000, 0.5e-5); - assertEquals(inv.s12, 19994492, 0.5); - inv = geod.Inverse(0, 0, 0, 180); - assertEquals(inv.azi1, 0.00000, 0.5e-5); - assertEquals(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assertEquals(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0, 0, 1, 180); - assertEquals(inv.azi1, 0.00000, 0.5e-5); - assertEquals(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assertEquals(inv.s12, 19994492, 0.5); - geod = new Geodesic(6.4e6, -1/300.0); - inv = geod.Inverse(0, 0, 0, 179); - assertEquals(inv.azi1, 90.00000, 0.5e-5); - assertEquals(inv.azi2, 90.00000, 0.5e-5); - assertEquals(inv.s12, 19994492, 0.5); - inv = geod.Inverse(0, 0, 0, 180); - assertEquals(inv.azi1, 90.00000, 0.5e-5); - assertEquals(inv.azi2, 90.00000, 0.5e-5); - assertEquals(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0, 0, 0.5, 180); - assertEquals(inv.azi1, 33.02493, 0.5e-5); - assertEquals(inv.azi2, 146.97364, 0.5e-5); - assertEquals(inv.s12, 20082617, 0.5); - inv = geod.Inverse(0, 0, 1, 180); - assertEquals(inv.azi1, 0.00000, 0.5e-5); - assertEquals(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assertEquals(inv.s12, 20027270, 0.5); - } - - @Test - public void GeodSolve55() { - // Check fix for nan + point on equator or pole not returning all nans in - // Geodesic::Inverse, found 2015-09-23. - GeodesicData inv = Geodesic.WGS84.Inverse(Double.NaN, 0, 0, 90); - assertTrue(isNaN(inv.azi1)); - assertTrue(isNaN(inv.azi2)); - assertTrue(isNaN(inv.s12)); - inv = Geodesic.WGS84.Inverse(Double.NaN, 0, 90, 3); - assertTrue(isNaN(inv.azi1)); - assertTrue(isNaN(inv.azi2)); - assertTrue(isNaN(inv.s12)); - } - - @Test - public void GeodSolve59() { - // Check for points close with longitudes close to 180 deg apart. - GeodesicData inv = Geodesic.WGS84.Inverse(5, 0.00000000000001, 10, 180); - assertEquals(inv.azi1, 0.000000000000035, 1.5e-14); - assertEquals(inv.azi2, 179.99999999999996, 1.5e-14); - assertEquals(inv.s12, 18345191.174332713, 5e-9); - } - - @Test - public void GeodSolve61() { - // Make sure small negative azimuths are west-going - GeodesicData dir = - Geodesic.WGS84.Direct(45, 0, -0.000000000000000003, 1e7, - GeodesicMask.STANDARD | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat2, 45.30632, 0.5e-5); - assertEquals(dir.lon2, -180, 0.5e-5); - assertEquals(Math.abs(dir.azi2), 180, 0.5e-5); - GeodesicLine line = Geodesic.WGS84.InverseLine(45, 0, 80, - -0.000000000000000003); - dir = line.Position(1e7, GeodesicMask.STANDARD | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat2, 45.30632, 0.5e-5); - assertEquals(dir.lon2, -180, 0.5e-5); - assertEquals(Math.abs(dir.azi2), 180, 0.5e-5); - } - - @Test - public void GeodSolve65() { - // Check for bug in east-going check in GeodesicLine (needed to check for - // sign of 0) and sign error in area calculation due to a bogus override - // of the code for alp12. Found/fixed on 2015-12-19. - GeodesicLine line = Geodesic.WGS84.InverseLine(30, -0.000000000000000001, - -31, 180); - GeodesicData dir = - line.Position(1e7, GeodesicMask.ALL | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat1, 30.00000 , 0.5e-5); - assertEquals(dir.lon1, -0.00000 , 0.5e-5); - assertEquals(Math.abs(dir.azi1), 180.00000, 0.5e-5); - assertEquals(dir.lat2, -60.23169 , 0.5e-5); - assertEquals(dir.lon2, -0.00000 , 0.5e-5); - assertEquals(Math.abs(dir.azi2), 180.00000, 0.5e-5); - assertEquals(dir.s12 , 10000000 , 0.5); - assertEquals(dir.a12 , 90.06544 , 0.5e-5); - assertEquals(dir.m12 , 6363636 , 0.5); - assertEquals(dir.M12 , -0.0012834, 0.5e7); - assertEquals(dir.M21 , 0.0013749 , 0.5e-7); - assertEquals(dir.S12 , 0 , 0.5); - dir = line.Position(2e7, GeodesicMask.ALL | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat1, 30.00000 , 0.5e-5); - assertEquals(dir.lon1, -0.00000 , 0.5e-5); - assertEquals(Math.abs(dir.azi1), 180.00000, 0.5e-5); - assertEquals(dir.lat2, -30.03547 , 0.5e-5); - assertEquals(dir.lon2, -180.00000, 0.5e-5); - assertEquals(dir.azi2, -0.00000 , 0.5e-5); - assertEquals(dir.s12 , 20000000 , 0.5); - assertEquals(dir.a12 , 179.96459 , 0.5e-5); - assertEquals(dir.m12 , 54342 , 0.5); - assertEquals(dir.M12 , -1.0045592, 0.5e7); - assertEquals(dir.M21 , -0.9954339, 0.5e-7); - assertEquals(dir.S12 , 127516405431022.0, 0.5); - } - - @Test - public void GeodSolve69() { - // Check for InverseLine if line is slightly west of S and that s13 is - // correctly set. - GeodesicLine line = - Geodesic.WGS84.InverseLine(-5, -0.000000000000002, -10, 180); - GeodesicData dir = - line.Position(2e7, GeodesicMask.STANDARD | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat2, 4.96445 , 0.5e-5); - assertEquals(dir.lon2, -180.00000, 0.5e-5); - assertEquals(dir.azi2, -0.00000 , 0.5e-5); - dir = line.Position(0.5 * line.Distance(), - GeodesicMask.STANDARD | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat2, -87.52461 , 0.5e-5); - assertEquals(dir.lon2, -0.00000 , 0.5e-5); - assertEquals(dir.azi2, -180.00000, 0.5e-5); - } - - @Test - public void GeodSolve71() { - // Check that DirectLine sets s13. - GeodesicLine line = Geodesic.WGS84.DirectLine(1, 2, 45, 1e7); - GeodesicData dir = - line.Position(0.5 * line.Distance(), - GeodesicMask.STANDARD | GeodesicMask.LONG_UNROLL); - assertEquals(dir.lat2, 30.92625, 0.5e-5); - assertEquals(dir.lon2, 37.54640, 0.5e-5); - assertEquals(dir.azi2, 55.43104, 0.5e-5); - } - - @Test - public void GeodSolve73() { - // Check for backwards from the pole bug reported by Anon on 2016-02-13. - // This only affected the Java implementation. It was introduced in Java - // version 1.44 and fixed in 1.46-SNAPSHOT on 2016-01-17. - // Also the + sign on azi2 is a check on the normalizing of azimuths - // (converting -0.0 to +0.0). - GeodesicData dir = Geodesic.WGS84.Direct(90, 10, 180, -1e6); - assertEquals(dir.lat2, 81.04623, 0.5e-5); - assertEquals(dir.lon2, -170, 0.5e-5); - assertEquals(dir.azi2, 0, 0.5e-5); - assertTrue(Math.copySign(1, dir.azi2) > 0); - } - - @Test - public void GeodSolve74() { - // Check fix for inaccurate areas, bug introduced in v1.46, fixed - // 2015-10-16. - GeodesicData inv = Geodesic.WGS84.Inverse(54.1589, 15.3872, - 54.1591, 15.3877, - GeodesicMask.ALL); - assertEquals(inv.azi1, 55.723110355, 5e-9); - assertEquals(inv.azi2, 55.723515675, 5e-9); - assertEquals(inv.s12, 39.527686385, 5e-9); - assertEquals(inv.a12, 0.000355495, 5e-9); - assertEquals(inv.m12, 39.527686385, 5e-9); - assertEquals(inv.M12, 0.999999995, 5e-9); - assertEquals(inv.M21, 0.999999995, 5e-9); - assertEquals(inv.S12, 286698586.30197, 5e-4); - } - - @Test - public void GeodSolve76() { - // The distance from Wellington and Salamanca (a classic failure of - // Vincenty) - GeodesicData inv = Geodesic.WGS84.Inverse(-(41+19/60.0), 174+49/60.0, - 40+58/60.0, -(5+30/60.0)); - assertEquals(inv.azi1, 160.39137649664, 0.5e-11); - assertEquals(inv.azi2, 19.50042925176, 0.5e-11); - assertEquals(inv.s12, 19960543.857179, 0.5e-6); - } - - @Test - public void GeodSolve78() { - // An example where the NGS calculator fails to converge - GeodesicData inv = Geodesic.WGS84.Inverse(27.2, 0.0, -27.1, 179.5); - assertEquals(inv.azi1, 45.82468716758, 0.5e-11); - assertEquals(inv.azi2, 134.22776532670, 0.5e-11); - assertEquals(inv.s12, 19974354.765767, 0.5e-6); - } - - @Test - public void GeodSolve80() { - // Some tests to add code coverage: computing scale in special cases + zero - // length geodesic (includes GeodSolve80 - GeodSolve83). - GeodesicData inv = Geodesic.WGS84.Inverse(0, 0, 0, 90, - GeodesicMask.GEODESICSCALE); - assertEquals(inv.M12, -0.00528427534, 0.5e-10); - assertEquals(inv.M21, -0.00528427534, 0.5e-10); - - inv = Geodesic.WGS84.Inverse(0, 0, 1e-6, 1e-6, GeodesicMask.GEODESICSCALE); - assertEquals(inv.M12, 1, 0.5e-10); - assertEquals(inv.M21, 1, 0.5e-10); - - inv = Geodesic.WGS84.Inverse(20.001, 0, 20.001, 0, GeodesicMask.ALL); - assertEquals(inv.a12, 0, 1e-13); - assertEquals(inv.s12, 0, 1e-8); - assertEquals(inv.azi1, 180, 1e-13); - assertEquals(inv.azi2, 180, 1e-13); - assertEquals(inv.m12, 0, 1e-8); - assertEquals(inv.M12, 1, 1e-15); - assertEquals(inv.M21, 1, 1e-15); - assertEquals(inv.S12, 0, 1e-10); - - inv = Geodesic.WGS84.Inverse(90, 0, 90, 180, GeodesicMask.ALL); - assertEquals(inv.a12, 0, 1e-13); - assertEquals(inv.s12, 0, 1e-8); - assertEquals(inv.azi1, 0, 1e-13); - assertEquals(inv.azi2, 180, 1e-13); - assertEquals(inv.m12, 0, 1e-8); - assertEquals(inv.M12, 1, 1e-15); - assertEquals(inv.M21, 1, 1e-15); - assertEquals(inv.S12, 127516405431022.0, 0.5); - - // An incapable line which can't take distance as input - GeodesicLine line = Geodesic.WGS84.Line(1, 2, 90, GeodesicMask.LATITUDE); - GeodesicData dir = line.Position(1000, GeodesicMask.NONE); - assertTrue(isNaN(dir.a12)); - } - - @Test - public void GeodSolve84() { - // Tests for python implementation to check fix for range errors with - // {fmod,sin,cos}(inf) (includes GeodSolve84 - GeodSolve91). - GeodesicData dir; - dir = Geodesic.WGS84.Direct(0, 0, 90, Double.POSITIVE_INFINITY); - assertTrue(isNaN(dir.lat2)); - assertTrue(isNaN(dir.lon2)); - assertTrue(isNaN(dir.azi2)); - dir = Geodesic.WGS84.Direct(0, 0, 90, Double.NaN); - assertTrue(isNaN(dir.lat2)); - assertTrue(isNaN(dir.lon2)); - assertTrue(isNaN(dir.azi2)); - dir = Geodesic.WGS84.Direct(0, 0, Double.POSITIVE_INFINITY, 1000); - assertTrue(isNaN(dir.lat2)); - assertTrue(isNaN(dir.lon2)); - assertTrue(isNaN(dir.azi2)); - dir = Geodesic.WGS84.Direct(0, 0, Double.NaN, 1000); - assertTrue(isNaN(dir.lat2)); - assertTrue(isNaN(dir.lon2)); - assertTrue(isNaN(dir.azi2)); - dir = Geodesic.WGS84.Direct(0, Double.POSITIVE_INFINITY, 90, 1000); - assertTrue(dir.lat2 == 0); - assertTrue(isNaN(dir.lon2)); - assertTrue(dir.azi2 == 90); - dir = Geodesic.WGS84.Direct(0, Double.NaN, 90, 1000); - assertTrue(dir.lat2 == 0); - assertTrue(isNaN(dir.lon2)); - assertTrue(dir.azi2 == 90); - dir = Geodesic.WGS84.Direct(Double.POSITIVE_INFINITY, 0, 90, 1000); - assertTrue(isNaN(dir.lat2)); - assertTrue(isNaN(dir.lon2)); - assertTrue(isNaN(dir.azi2)); - dir = Geodesic.WGS84.Direct(Double.NaN, 0, 90, 1000); - assertTrue(isNaN(dir.lat2)); - assertTrue(isNaN(dir.lon2)); - assertTrue(isNaN(dir.azi2)); - } - - @Test - public void Planimeter0() { - // Check fix for pole-encircling bug found 2011-03-16 - double pa[][] = {{89, 0}, {89, 90}, {89, 180}, {89, 270}}; - PolygonResult a = Planimeter(pa); - assertEquals(a.perimeter, 631819.8745, 1e-4); - assertEquals(a.area, 24952305678.0, 1); - - double pb[][] = {{-89, 0}, {-89, 90}, {-89, 180}, {-89, 270}}; - a = Planimeter(pb); - assertEquals(a.perimeter, 631819.8745, 1e-4); - assertEquals(a.area, -24952305678.0, 1); - - double pc[][] = {{0, -1}, {-1, 0}, {0, 1}, {1, 0}}; - a = Planimeter(pc); - assertEquals(a.perimeter, 627598.2731, 1e-4); - assertEquals(a.area, 24619419146.0, 1); - - double pd[][] = {{90, 0}, {0, 0}, {0, 90}}; - a = Planimeter(pd); - assertEquals(a.perimeter, 30022685, 1); - assertEquals(a.area, 63758202715511.0, 1); - a = PolyLength(pd); - assertEquals(a.perimeter, 20020719, 1); - assertTrue(isNaN(a.area)); - } - - @Test - public void Planimeter5() { - // Check fix for Planimeter pole crossing bug found 2011-06-24 - double points[][] = {{89, 0.1}, {89, 90.1}, {89, -179.9}}; - PolygonResult a = Planimeter(points); - assertEquals(a.perimeter, 539297, 1); - assertEquals(a.area, 12476152838.5, 1); - } - - @Test - public void Planimeter6() { - // Check fix for Planimeter lon12 rounding bug found 2012-12-03 - double pa[][] = {{9, -0.00000000000001}, {9, 180}, {9, 0}}; - PolygonResult a = Planimeter(pa); - assertEquals(a.perimeter, 36026861, 1); - assertEquals(a.area, 0, 1); - double pb[][] = {{9, 0.00000000000001}, {9, 0}, {9, 180}}; - a = Planimeter(pb); - assertEquals(a.perimeter, 36026861, 1); - assertEquals(a.area, 0, 1); - double pc[][] = {{9, 0.00000000000001}, {9, 180}, {9, 0}}; - a = Planimeter(pc); - assertEquals(a.perimeter, 36026861, 1); - assertEquals(a.area, 0, 1); - double pd[][] = {{9, -0.00000000000001}, {9, 0}, {9, 180}}; - a = Planimeter(pd); - assertEquals(a.perimeter, 36026861, 1); - assertEquals(a.area, 0, 1); - } - - @Test - public void Planimeter12() { - // Area of arctic circle (not really -- adjunct to rhumb-area test) - double points[][] = {{66.562222222, 0}, {66.562222222, 180}}; - PolygonResult a = Planimeter(points); - assertEquals(a.perimeter, 10465729, 1); - assertEquals(a.area, 0, 1); - } - - @Test - public void Planimeter13() { - // Check encircling pole twice - double points[][] = {{89,-360}, {89,-240}, {89,-120}, - {89,0}, {89,120}, {89,240}}; - PolygonResult a = Planimeter(points); - assertEquals(a.perimeter, 1160741, 1); - assertEquals(a.area, 32415230256.0, 1); - } - - @Test - public void Planimeter15() { - // Coverage tests, includes Planimeter15 - Planimeter18 (combinations of - // reverse and sign) + calls to testpoint, testedge. - PolygonResult a; - double lat[] = {2, 1, 3}, lon[] = {1, 2, 3}; - double r = 18454562325.45119, - a0 = 510065621724088.5093; // ellipsoid area - polygon.Clear(); - polygon.AddPoint(lat[0], lon[0]); - polygon.AddPoint(lat[1], lon[1]); - a = polygon.TestPoint(lat[2], lon[2], false, true); - assertEquals(a.area, r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], false, false); - assertEquals(a.area, r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], true, true); - assertEquals(a.area, -r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], true, false); - assertEquals(a.area, a0-r, 0.5); - GeodesicData inv = Geodesic.WGS84.Inverse(lat[1], lon[1], lat[2], lon[2]); - a = polygon.TestEdge(inv.azi1, inv.s12, false, true); - assertEquals(a.area, r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, false, false); - assertEquals(a.area, r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, true, true); - assertEquals(a.area, -r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, true, false); - assertEquals(a.area, a0-r, 0.5); - polygon.AddPoint(lat[2], lon[2]); - a = polygon.Compute(false, true); - assertEquals(a.area, r, 0.5); - a = polygon.Compute(false, false); - assertEquals(a.area, r, 0.5); - a = polygon.Compute(true, true); - assertEquals(a.area, -r, 0.5); - a = polygon.Compute(true, false); - assertEquals(a.area, a0-r, 0.5); - } - - @Test - public void Planimeter19() { - // Coverage tests, includes Planimeter19 - Planimeter20 (degenerate - // polygons) + extra cases. - PolygonResult a; - polygon.Clear(); - a = polygon.Compute(false, true); - assertTrue(a.area == 0); - assertTrue(a.perimeter == 0); - a = polygon.TestPoint(1, 1, false, true); - assertTrue(a.area == 0); - assertTrue(a.perimeter == 0); - a = polygon.TestEdge(90, 1000, false, true); - assertTrue(isNaN(a.area)); - assertTrue(isNaN(a.perimeter)); - polygon.AddPoint(1, 1); - a = polygon.Compute(false, true); - assertTrue(a.area == 0); - assertTrue(a.perimeter == 0); - polyline.Clear(); - a = polyline.Compute(false, true); - assertTrue(a.perimeter == 0); - a = polyline.TestPoint(1, 1, false, true); - assertTrue(a.perimeter == 0); - a = polyline.TestEdge(90, 1000, false, true); - assertTrue(isNaN(a.perimeter)); - polyline.AddPoint(1, 1); - a = polyline.Compute(false, true); - assertTrue(a.perimeter == 0); - polygon.AddPoint(1, 1); - a = polyline.TestEdge(90, 1000, false, true); - assertEquals(a.perimeter, 1000, 1e-10); - a = polyline.TestPoint(2, 2, false, true); - assertEquals(a.perimeter, 156876.149, 0.5e-3); - } - - @Test - public void Planimeter21() { - // Some test to add code coverage: multiple circlings of pole (includes - // Planimeter21 - Planimeter28) + invocations via testpoint and testedge. - PolygonResult a; - double lat = 45, - azi = 39.2144607176828184218, s = 8420705.40957178156285, - r = 39433884866571.4277, // Area for one circuit - a0 = 510065621724088.5093; // Ellipsoid area - int i; - polygon.Clear(); - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - polygon.AddPoint(lat, -60); - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - polygon.AddPoint(lat, -60); - for (i = 3; i <= 4; ++i) { - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - a = polygon.TestPoint(lat, -60, false, true); - assertEquals(a.area, i*r, 0.5); - a = polygon.TestPoint(lat, -60, false, false); - assertEquals(a.area, i*r, 0.5); - a = polygon.TestPoint(lat, -60, true, true); - assertEquals(a.area, -i*r, 0.5); - a = polygon.TestPoint(lat, -60, true, false); - assertEquals(a.area, -i*r + a0, 0.5); - a = polygon.TestEdge(azi, s, false, true); - assertEquals(a.area, i*r, 0.5); - a = polygon.TestEdge(azi, s, false, false); - assertEquals(a.area, i*r, 0.5); - a = polygon.TestEdge(azi, s, true, true); - assertEquals(a.area, -i*r, 0.5); - a = polygon.TestEdge(azi, s, true, false); - assertEquals(a.area, -i*r + a0, 0.5); - polygon.AddPoint(lat, -60); - a = polygon.Compute(false, true); - assertEquals(a.area, i*r, 0.5); - a = polygon.Compute(false, false); - assertEquals(a.area, i*r, 0.5); - a = polygon.Compute(true, true); - assertEquals(a.area, -i*r, 0.5); - a = polygon.Compute(true, false); - assertEquals(a.area, -i*r + a0, 0.5); - } - } - - @Test - public void Planimeter29() { - // Check fix to transitdirect vs transit zero handling inconsistency - PolygonResult a; - polygon.Clear(); - polygon.AddPoint(0, 0); - polygon.AddEdge( 90, 1000); - polygon.AddEdge( 0, 1000); - polygon.AddEdge(-90, 1000); - a = polygon.Compute(false, true); - // The area should be 1e6. Prior to the fix it was 1e6 - A/2, where - // A = ellipsoid area. - assertEquals(a.area, 1000000.0, 0.01); - } -} diff --git a/libs/GeographicLib-1.50.1/js/CMakeLists.txt b/libs/GeographicLib-1.50.1/js/CMakeLists.txt deleted file mode 100644 index 3ca63f2e3a3453090958675118d3a3249f46ab6c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/CMakeLists.txt +++ /dev/null @@ -1,134 +0,0 @@ -# This list governs the order in which the JavaScript sources are -# concatenated. This shouldn't be changed. -set (JS_MODULES Math Geodesic GeodesicLine PolygonArea DMS) - -# Combine JavaScript into a single file if necessary -set (JSSCRIPTS) -set (JS_BUILD 0) -set (JS_BUILD_MIN 0) -set (JS_TARGET "${CMAKE_CURRENT_BINARY_DIR}/geographiclib.js") -set (JS_TARGET_MIN "${CMAKE_CURRENT_BINARY_DIR}/geographiclib.min.js") -set (JS_TARGETS ${JS_TARGET} ${JS_TARGET_MIN}) -set (FILE_INVENTORY "") -foreach (_F ${JS_MODULES}) - set (_S "src/${_F}.js") - set (FILE_INVENTORY "${FILE_INVENTORY} ${_F}.js") - list (APPEND JSSCRIPTS ${_S}) - if ("${CMAKE_CURRENT_SOURCE_DIR}/_S" IS_NEWER_THAN ${JS_TARGET}) - set (JS_BUILD 1) - endif () - if ("${CMAKE_CURRENT_SOURCE_DIR}/_S" IS_NEWER_THAN ${JS_TARGET_MIN}) - set (JS_BUILD_MIN 1) - endif () -endforeach () - -if (JS_BUILD) - file (STRINGS "src/Math.js" _S REGEX version_string) - string (REGEX REPLACE ".*\"(.*)\".*" "\\1" JS_VERSION "${_S}") - file (REMOVE ${JS_TARGET}) - file (READ "HEADER.js" _S) - string (CONFIGURE ${_S} _S @ONLY) - file (APPEND ${JS_TARGET} "${_S}") - file (APPEND ${JS_TARGET} "\n(function(cb) {\n") - foreach (_F ${JSSCRIPTS}) - get_filename_component (_N ${_F} NAME) - file (READ "${_F}" _S) - # Normalize the line endings. - string (REGEX REPLACE "\r" "" _S "${_S}") - file (APPEND ${JS_TARGET} "\n/**************** ${_N} ****************/\n") - file (APPEND ${JS_TARGET} "${_S}") - endforeach () - # export GeographlicLib - file (APPEND ${JS_TARGET} " -cb(GeographicLib); - -})(function(geo) { - if (typeof module === 'object' && module.exports) { - /******** support loading with node's require ********/ - module.exports = geo; - } else if (typeof define === 'function' && define.amd) { - /******** support loading with AMD ********/ - define('geographiclib', [], function() { return geo; }); - } else { - /******** otherwise just pollute our global namespace ********/ - window.GeographicLib = geo; - } -}); -") -endif () - -if (JS_BUILD_MIN) - file (STRINGS "src/Math.js" _S REGEX version_string) - string (REGEX REPLACE ".*\"(.*)\".*" "\\1" JS_VERSION "${_S}") - file (REMOVE ${JS_TARGET_MIN}) - file (READ "HEADER.js" _S) - string (CONFIGURE ${_S} _S @ONLY) - file (APPEND ${JS_TARGET_MIN} "${_S}") - file (APPEND ${JS_TARGET_MIN} "(function(cb){\n") - foreach (_F ${JSSCRIPTS}) - get_filename_component (_N ${_F} NAME) - file (READ "${_F}" _S) - # Normalize the line endings. - string (REGEX REPLACE "\r" "\n" _S "${_S}") - # This matches /*...*/ style comments, where ... is any number of - # \*[^/] and [^*]. This has the defect that the it won't detect, - # e.g., **/ as the end of the comment. - string (REGEX REPLACE "/\\*(\\*[^/]|[^*])*\\*/" "" _S "${_S}") - string (REGEX REPLACE "//[^\n]*\n" "\n" _S "${_S}") - string (REGEX REPLACE "[ \t]+" " " _S "${_S}") - string (REGEX REPLACE "([^\"A-Za-z0-9_]) " "\\1" _S "${_S}") - string (REGEX REPLACE " ([^\\[\"A-Za-z0-9_])" "\\1" _S "${_S}") - string (REGEX REPLACE "\n " "\n" _S "${_S}") - string (REGEX REPLACE " \n" "\n" _S "${_S}") - string (REGEX REPLACE "^\n" "" _S "${_S}") - string (REGEX REPLACE "\n+" "\n" _S "${_S}") - file (APPEND ${JS_TARGET_MIN} "// ${_N}\n${_S}") - endforeach () - # export GeographlicLib - file (APPEND ${JS_TARGET_MIN} - "cb(GeographicLib); -})(function(geo){ -if(typeof module==='object'&&module.exports){ -module.exports=geo; -}else if(typeof define==='function'&&define.amd){ -define('geographiclib',[],function(){return geo;}); -}else{ -window.GeographicLib=geo; -} -}); -") -endif () - -# "make javascript" will reconfigure cmake if necessary, since -# geographiclib.js and geographiclib.min.js are created during -# configuration. -add_custom_command (OUTPUT ${JS_TARGETS} - DEPENDS ${JSSCRIPTS} HEADER.js - COMMAND ${CMAKE_COMMAND} ARGS "." - WORKING_DIRECTORY ${PROJECT_BINARY_DIR}) - -file (GLOB SAMPLES samples/*.html) -file (COPY ${SAMPLES} DESTINATION .) - -add_custom_target (javascript ALL DEPENDS ${JS_TARGETS}) - -# Copy files so that publishing nodejs package can be done with: -# npm publish ${CMAKE_CURRENT_BINARY_DIR}/geographiclib -# To test, do: -# cd ${CMAKE_CURRENT_BINARY_DIR}/geographiclib && npm test -file (COPY ../LICENSE.txt package.json README.md ${JS_TARGETS} - DESTINATION geographiclib) -file (COPY ${JSSCRIPTS} DESTINATION geographiclib/src) -file (COPY test/geodesictest.js DESTINATION geographiclib/test) - -if (COMMON_INSTALL_PATH) - set (INSTALL_JS_DIR "lib${LIB_SUFFIX}/node_modules/geographiclib") -else () - set (INSTALL_JS_DIR "node_modules/geographiclib") -endif () - -# Install the JavaScript files -install (FILES ../LICENSE.txt package.json README.md ${JS_TARGETS} - DESTINATION ${INSTALL_JS_DIR}) -install (FILES ${JSSCRIPTS} DESTINATION ${INSTALL_JS_DIR}/src) -install (FILES test/geodesictest.js DESTINATION ${INSTALL_JS_DIR}/test) diff --git a/libs/GeographicLib-1.50.1/js/GeographicLib.md b/libs/GeographicLib-1.50.1/js/GeographicLib.md deleted file mode 100644 index 6b399422def95f0eaa7dbd5ccb99002811bb6a47..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/GeographicLib.md +++ /dev/null @@ -1,148 +0,0 @@ -## Geodesic routines from GeographicLib - -This documentation applies to version 1.50. - -The documentation for other versions is available -at https://geographiclib.sourceforge.io/m.nn/js for versions -numbers m.nn ≥ 1.45. - -Licensed under the MIT/X11 License; see -[LICENSE.txt](https://geographiclib.sourceforge.io/html/LICENSE.txt). - -### Installation - -This library is a JavaScript implementation of the geodesic routines -from [GeographicLib](https://geographiclib.sourceforge.io). This solves the -direct and inverse geodesic problems for an ellipsoid of revolution. - -The library can be used in [node](https://nodejs.org) by first -installing the -[geographiclib node package](https://www.npmjs.com/package/geographiclib) -with [npm](https://www.npmjs.com) -```bash -$ npm install geographiclib -$ node -> var GeographicLib = require("geographiclib"); -``` -The npm package includes a test suite. Run this by -```bash -$ cd node_modules/geographiclib -$ npm test -``` - -Alternatively, you can use it in client-side JavaScript, by including in -your HTML page -```html - -``` -Both of these prescriptions define a {@link GeographicLib} namespace. - -### Examples - -Now geodesic calculations can be carried out, for example, -```javascript -var geod = GeographicLib.Geodesic.WGS84, r; - -// Find the distance from Wellington, NZ (41.32S, 174.81E) to -// Salamanca, Spain (40.96N, 5.50W)... -r = geod.Inverse(-41.32, 174.81, 40.96, -5.50); -console.log("The distance is " + r.s12.toFixed(3) + " m."); -// This prints "The distance is 19959679.267 m." - -// Find the point 20000 km SW of Perth, Australia (32.06S, 115.74E)... -r = geod.Direct(-32.06, 115.74, 225, 20000e3); -console.log("The position is (" + - r.lat2.toFixed(8) + ", " + r.lon2.toFixed(8) + ")."); -// This prints "The position is (32.11195529, -63.95925278)." -``` -Two examples of this library in use are -* [A geodesic calculator](https://geographiclib.sourceforge.io/scripts/geod-calc.html) -* [Displaying geodesics on Google - Maps](https://geographiclib.sourceforge.io/scripts/geod-google.html) - -### More information -* {@tutorial 1-geodesics} -* {@tutorial 2-interface} -* {@tutorial 3-examples} - -### Implementations in various languages -* {@link https://sourceforge.net/p/geographiclib/code/ci/release/tree/ - git repository} -* C++ (complete library): - {@link https://geographiclib.sourceforge.io/html/index.html - documentation}, - {@link https://sourceforge.net/projects/geographiclib/files/distrib - download}; -* C (geodesic routines): - {@link https://geographiclib.sourceforge.io/html/C/index.html - documentation}, also included with recent versions of - {@link https://github.com/OSGeo/proj.4/wiki - proj.4}; -* Fortran (geodesic routines): - {@link https://geographiclib.sourceforge.io/html/Fortran/index.html - documentation}; -* Java (geodesic routines): - {@link http://repo1.maven.org/maven2/net/sf/geographiclib/GeographicLib-Java/ - Maven Central package}, - {@link https://geographiclib.sourceforge.io/html/java/index.html - documentation}; -* JavaScript (geodesic routines): - {@link https://www.npmjs.com/package/geographiclib - npm package}, - {@link https://geographiclib.sourceforge.io/html/js/index.html - documentation}; -* Python (geodesic routines): - {@link http://pypi.python.org/pypi/geographiclib - PyPI package}, - {@link https://geographiclib.sourceforge.io/html/python/index.html - documentation}; -* Matlab/Octave (geodesic and some other routines): - {@link https://www.mathworks.com/matlabcentral/fileexchange/50605 - Matlab Central package}, - {@link https://viewer.mathworks.com/?viewer=plain_code&url=https%3A%2F%2Fwww.mathworks.com%2Fmatlabcentral%2Fmlc-downloads%2Fdownloads%2Fsubmissions%2F50605%2Fversions%2F15%2Fcontents%2FContents.m - documentation}; -* C# (.NET wrapper for complete C++ library): - {@link https://geographiclib.sourceforge.io/html/NET/index.html - documentation}. - -### Change log - -* Version 1.50 (released 2019-09-24) - * PolygonArea can now handle arbitrarily complex polygons. In the - case of self-intersecting polygons the area is accumulated - "algebraically", e.g., the areas of the 2 loops in a figure-8 - polygon will partially cancel. - * Fix two bugs in the computation of areas when some vertices are specified - by an added edge. - * Fix bug in computing unsigned area. - * When parsing DMS strings ignore various non-breaking spaces. - * Fall back to system versions of hypot, cbrt, log1p, atanh if they - are available. - * Math.cbrt, Math.atanh, and Math.asinh preserve the sign of −0. - -* Version 1.49 (released 2017-10-05) - * Use explicit test for nonzero real numbers. - -* Version 1.48 (released 2017-04-09) - * Change default range for longitude and azimuth to - (−180°, 180°] (instead of [−180°, 180°)). - -* Version 1.47 (released 2017-02-15) - * Improve accuracy of area calculation (fixing a flaw introduced in - version 1.46). - -* Version 1.46 (released 2016-02-15) - * Fix bugs in PolygonArea.TestEdge (problem found by threepointone). - * Add Geodesic.DirectLine, Geodesic.ArcDirectLine, - Geodesic.GenDirectLine, Geodesic.InverseLine, - GeodesicLine.SetDistance, GeodesicLine.SetArc, - GeodesicLine.GenSetDistance, GeodesicLine.s13, GeodesicLine.a13. - * More accurate inverse solution when longitude difference is close to - 180°. - -### Authors - -* algorithms + js code: Charles Karney (charles@karney.com) -* node.js port: Yurij Mikhalevich (0@39.yt) diff --git a/libs/GeographicLib-1.50.1/js/HEADER.js b/libs/GeographicLib-1.50.1/js/HEADER.js deleted file mode 100644 index fef7bd2c800d9c5ef9e5a492212dfb60374bdd80..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/HEADER.js +++ /dev/null @@ -1,22 +0,0 @@ -/* - * Geodesic routines from GeographicLib translated to JavaScript. See - * https://geographiclib.sourceforge.io/html/js/ - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013), - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * This file is the concatenation and compression of the JavaScript files in - * doc/scripts/GeographicLib in the source tree for GeographicLib. - * - * Copyright (c) Charles Karney (2011-2015) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - * - * Version: @JS_VERSION@ - * File inventory: - * @FILE_INVENTORY@ - */ diff --git a/libs/GeographicLib-1.50.1/js/Makefile.am b/libs/GeographicLib-1.50.1/js/Makefile.am deleted file mode 100644 index 188a34aa407262a2d4b9d301d001861630091e1a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/Makefile.am +++ /dev/null @@ -1,44 +0,0 @@ -EXTRAFILES = $(srcdir)/HEADER.js - -SAMPLES = \ - geod-calc.html \ - geod-google.html \ - geod-google-instructions.html - -# The order here is significant -JSSCRIPTS = \ - $(srcdir)/src/Math.js \ - $(srcdir)/src/Geodesic.js \ - $(srcdir)/src/GeodesicLine.js \ - $(srcdir)/src/PolygonArea.js \ - $(srcdir)/src/DMS.js -TESTSCRIPTS = $(srcdir)/test/geodesictest.js - -all: geographiclib.js geographiclib.min.js $(SAMPLES) - -geod-calc.html: samples/geod-calc.html - cp $^ $@ - -geod-google.html: samples/geod-google.html - cp $^ $@ - -geod-google-instructions.html: samples/geod-google-instructions.html - cp $^ $@ - -geographiclib.js: HEADER.js $(JSSCRIPTS) - $(srcdir)/js-cat.sh $^ > $@ - -geographiclib.min.js: HEADER.js $(JSSCRIPTS) - $(srcdir)/js-compress.sh $^ > $@ - -jsdir=$(DESTDIR)$(libdir)/node_modules/geographiclib - -install: all - $(INSTALL) -d $(jsdir) - $(INSTALL) -m 644 geographiclib.js geographiclib.min.js $(jsdir) - $(INSTALL) -m 644 $(top_srcdir)/LICENSE.txt $(srcdir)/README.md \ - $(srcdir)/package.json $(jsdir) - $(INSTALL) -d $(jsdir)/src - $(INSTALL) -m 644 $(JSSCRIPTS) $(jsdir)/src - $(INSTALL) -d $(jsdir)/test - $(INSTALL) -m 644 $(TESTSCRIPTS) $(jsdir)/test diff --git a/libs/GeographicLib-1.50.1/js/Makefile.in b/libs/GeographicLib-1.50.1/js/Makefile.in deleted file mode 100644 index 5645548f189602072bb8a78c2825024323ef1927..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/Makefile.in +++ /dev/null @@ -1,505 +0,0 @@ -# Makefile.in generated by automake 1.16.1 from Makefile.am. -# @configure_input@ - -# Copyright (C) 1994-2018 Free Software Foundation, Inc. - 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./js-cat.sh $^ > $@ - -geographiclib.min.js: HEADER.js $(JSSCRIPTS) - ./js-compress.sh $^ > $@ - -clean: - rm -f geographiclib.js geographiclib.min.js *.html - -PREFIX = /usr/local -DEST = $(PREFIX)/lib/node_modules/geographiclib -INSTALL = install -b - -install: all - test -d $(DEST) || mkdir -p $(DEST) - $(INSTALL) -m 644 geographiclib.js geographiclib.min.js $(DEST)/ - $(INSTALL) -m 644 ../LICENSE.txt README.md package.json $(DEST)/ - test -d $(DEST)/src || mkdir -p $(DEST)/src - $(INSTALL) -m 644 $(JSSCRIPTS) $(DEST)/src/ - test -d $(DEST)/test || mkdir -p $(DEST)/test - $(INSTALL) -m 644 $(TESTSCRIPTS) $(DEST)/test/ - -.PHONY: install clean diff --git a/libs/GeographicLib-1.50.1/js/README.md b/libs/GeographicLib-1.50.1/js/README.md deleted file mode 100644 index 57cb9266df07b965888203cf18e73f257b65bdf6..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/README.md +++ /dev/null @@ -1,50 +0,0 @@ -# Geodesic routines from GeographicLib - -This library is a JavaScript implementation of the geodesic routines -from [GeographicLib](https://geographiclib.sourceforge.io). This solves the -direct and inverse geodesic problems for an ellipsoid of revolution. - -Licensed under the MIT/X11 License; see -[LICENSE.txt](https://geographiclib.sourceforge.io/html/LICENSE.txt). - -## Installation - -```bash -$ npm install geographiclib -``` - -## Usage - -In [node](https://nodejs.org), do -```javascript -var GeographicLib = require("geographiclib"); -``` - -## Documentation - -Full documentation is provided at -[https://geographiclib.sourceforge.io/1.50/js/](https://geographiclib.sourceforge.io/1.50/js/). - -## Examples - -```javascript -var GeographicLib = require("geographiclib"), - geod = GeographicLib.Geodesic.WGS84, r; - -// Find the distance from Wellington, NZ (41.32S, 174.81E) to -// Salamanca, Spain (40.96N, 5.50W)... -r = geod.Inverse(-41.32, 174.81, 40.96, -5.50); -console.log("The distance is " + r.s12.toFixed(3) + " m."); -// This prints "The distance is 19959679.267 m." - -// Find the point 20000 km SW of Perth, Australia (32.06S, 115.74E)... -r = geod.Direct(-32.06, 115.74, 225, 20000e3); -console.log("The position is (" + - r.lat2.toFixed(8) + ", " + r.lon2.toFixed(8) + ")."); -// This prints "The position is (32.11195529, -63.95925278)." -``` - -## Authors - -* algorithms + js code: Charles Karney (charles@karney.com) -* node.js port: Yurij Mikhalevich (0@39.yt) diff --git a/libs/GeographicLib-1.50.1/js/conf.json b/libs/GeographicLib-1.50.1/js/conf.json deleted file mode 100644 index 74632519bc341167d5d770aecc52c37867a25075..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/conf.json +++ /dev/null @@ -1,17 +0,0 @@ -{ - "tags": { - "allowUnknownTags": true - }, - "source": { - "includePattern": ".+\\.js(doc)?$", - "excludePattern": "(^|\\/|\\\\)_" - }, - "plugins": [ "plugins/markdown" ], - "templates": { - "cleverLinks": false, - "monospaceLinks": false, - "default": { - "outputSourceFiles": true - } - } -} diff --git a/libs/GeographicLib-1.50.1/js/doc/1-geodesics.md b/libs/GeographicLib-1.50.1/js/doc/1-geodesics.md deleted file mode 100644 index 6b934a6cf750a34c5e99e42d01c756a79f65264f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/doc/1-geodesics.md +++ /dev/null @@ -1,172 +0,0 @@ -Jump to -* [Introduction](#intro) -* [Additional properties](#additional) -* [Multiple shortest geodesics](#multiple) -* [Background](#background) -* [References](#references) - -### Introduction - -Consider a ellipsoid of revolution with equatorial radius *a*, polar -semi-axis *b*, and flattening *f* = (*a* − *b*)/*a* . Points on -the surface of the ellipsoid are characterized by their latitude φ -and longitude λ. (Note that latitude here means the -*geographical latitude*, the angle between the normal to the ellipsoid -and the equatorial plane). - -The shortest path between two points on the ellipsoid at -(φ1, λ1) and (φ2, -λ2) is called the geodesic. Its length is -*s*12 and the geodesic from point 1 to point 2 has forward -azimuths α1 and α2 at the two end -points. In this figure, we have λ12 = -λ2 − λ1. -
- -
-A geodesic can be extended indefinitely by requiring that any -sufficiently small segment is a shortest path; geodesics are also the -straightest curves on the surface. - -Traditionally two geodesic problems are considered: -* the direct problem — given φ1, - λ1, α1, *s*12, - determine φ2, λ2, and - α2; this is solved by - {@link module:GeographicLib/Geodesic.Geodesic#Direct Geodesic.Direct}. - -* the inverse problem — given φ1, - λ1, φ2, λ2, - determine *s*12, α1, and - α2; this is solved by - {@link module:GeographicLib/Geodesic.Geodesic#Inverse Geodesic.Inverse}. - -### Additional properties - -The routines also calculate several other quantities of interest -* *S*12 is the area between the geodesic from point 1 to - point 2 and the equator; i.e., it is the area, measured - counter-clockwise, of the quadrilateral with corners - (φ1,λ1), (0,λ1), - (0,λ2), and - (φ2,λ2). It is given in - meters2. -* *m*12, the reduced length of the geodesic is defined such - that if the initial azimuth is perturbed by *d*α1 - (radians) then the second point is displaced by *m*12 - *d*α1 in the direction perpendicular to the - geodesic. *m*12 is given in meters. On a curved surface - the reduced length obeys a symmetry relation, *m*12 + - *m*21 = 0. On a flat surface, we have *m*12 = - *s*12. -* *M*12 and *M*21 are geodesic scales. If two - geodesics are parallel at point 1 and separated by a small distance - *dt*, then they are separated by a distance *M*12 *dt* at - point 2. *M*21 is defined similarly (with the geodesics - being parallel to one another at point 2). *M*12 and - *M*21 are dimensionless quantities. On a flat surface, - we have *M*12 = *M*21 = 1. -* σ12 is the arc length on the auxiliary sphere. - This is a construct for converting the problem to one in spherical - trigonometry. The spherical arc length from one equator crossing to - the next is always 180°. - -If points 1, 2, and 3 lie on a single geodesic, then the following -addition rules hold: -* *s*13 = *s*12 + *s*23 -* σ13 = σ12 + σ23 -* *S*13 = *S*12 + *S*23 -* *m*13 = *m*12*M*23 + - *m*23*M*21 -* *M*13 = *M*12*M*23 − - (1 − *M*12*M*21) - *m*23/*m*12 -* *M*31 = *M*32*M*21 − - (1 − *M*23*M*32) - *m*12/*m*23 - -### Multiple shortest geodesics - -The shortest distance found by solving the inverse problem is -(obviously) uniquely defined. However, in a few special cases there are -multiple azimuths which yield the same shortest distance. Here is a -catalog of those cases: -* φ1 = −φ2 (with neither point at - a pole). If α1 = α2, the geodesic - is unique. Otherwise there are two geodesics and the second one is - obtained by setting [α1,α2] ← - [α2,α1], - [*M*12,*M*21] ← - [*M*21,*M*12], *S*12 ← - −*S*12. (This occurs when the longitude difference - is near ±180° for oblate ellipsoids.) -* λ2 = λ1 ± 180° (with - neither point at a pole). If α1 = 0° or - ±180°, the geodesic is unique. Otherwise there are two - geodesics and the second one is obtained by setting - [α1,α2] ← - [−α1,−α2], - *S*12 ← −*S*12. (This occurs when - φ2 is near −φ1 for prolate - ellipsoids.) -* Points 1 and 2 at opposite poles. There are infinitely many - geodesics which can be generated by setting - [α1,α2] ← - [α1,α2] + - [δ,−δ], for arbitrary δ. (For spheres, this - prescription applies when points 1 and 2 are antipodal.) -* *s*12 = 0 (coincident points). There are infinitely many - geodesics which can be generated by setting - [α1,α2] ← - [α1,α2] + [δ,δ], for - arbitrary δ. - -### Background - -The algorithms implemented by this package are given in Karney (2013) -and are based on Bessel (1825) and Helmert (1880); the algorithm for -areas is based on Danielsen (1989). These improve on the work of -Vincenty (1975) in the following respects: -* The results are accurate to round-off for terrestrial ellipsoids (the - error in the distance is less than 15 nanometers, compared to 0.1 mm - for Vincenty). -* The solution of the inverse problem is always found. (Vincenty's - method fails to converge for nearly antipodal points.) -* The routines calculate differential and integral properties of a - geodesic. This allows, for example, the area of a geodesic polygon to - be computed. - -### References - -* F. W. Bessel, - {@link https://arxiv.org/abs/0908.1824 The calculation of longitude and - latitude from geodesic measurements (1825)}, - Astron. Nachr. **331**(8), 852–861 (2010), - translated by C. F. F. Karney and R. E. Deakin. -* F. R. Helmert, - {@link https://doi.org/10.5281/zenodo.32050 - Mathematical and Physical Theories of Higher Geodesy, Vol 1}, - (Teubner, Leipzig, 1880), Chaps. 5–7. -* T. Vincenty, - {@link http://www.ngs.noaa.gov/PUBS_LIB/inverse.pdf - Direct and inverse solutions of geodesics on the ellipsoid with - application of nested equations}, - Survey Review **23**(176), 88–93 (1975). -* J. Danielsen, - {@link https://doi.org/10.1179/003962689791474267 The area under - the geodesic}, Survey Review **30**(232), 61–66 (1989). -* C. F. F. Karney, - {@link https://doi.org/10.1007/s00190-012-0578-z - Algorithms for geodesics}, J. Geodesy **87**(1) 43–55 (2013); - {@link https://geographiclib.sourceforge.io/geod-addenda.html addenda}. -* C. F. F. Karney, - {@https://arxiv.org/abs/1102.1215v1 - Geodesics on an ellipsoid of revolution}, - Feb. 2011; - {@link https://geographiclib.sourceforge.io/geod-addenda.html#geod-errata - errata}. -* {@link https://geographiclib.sourceforge.io/geodesic-papers/biblio.html - A geodesic bibliography}. -* The wikipedia page, - {@link https://en.wikipedia.org/wiki/Geodesics_on_an_ellipsoid - Geodesics on an ellipsoid}. diff --git a/libs/GeographicLib-1.50.1/js/doc/2-interface.md b/libs/GeographicLib-1.50.1/js/doc/2-interface.md deleted file mode 100644 index 85c99973f9768391c8df21620f1c096f66cd6b9f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/doc/2-interface.md +++ /dev/null @@ -1,117 +0,0 @@ -Jump to -* [The units](#units) -* [The results](#results) -* [The *outmask* and *caps* parameters](#outmask) -* [Restrictions on the parameters](#restrict) - -### The units - -All angles (latitude, longitude, azimuth, arc length) are measured in -degrees with latitudes increasing northwards, longitudes increasing -eastwards, and azimuths measured clockwise from north. For a point at a -pole, the azimuth is defined by keeping the longitude fixed, writing -φ = ±(90° − ε), and taking the limit -ε → 0+. - -### The results - -The results returned by -{@link module:GeographicLib/Geodesic.Geodesic#Inverse Geodesic.Direct}, -{@link module:GeographicLib/Geodesic.Geodesic#Inverse Geodesic.Inverse}, -{@link module:GeographicLib/GeodesicLine.GeodesicLine#Position -GeodesicLine.Position}, etc., return an object with -(some) of the following 12 fields set: -* *lat1* = φ1, latitude of point 1 (degrees) -* *lon1* = λ1, longitude of point 1 (degrees) -* *azi1* = α1, azimuth of line at point 1 (degrees) -* *lat2* = φ2, latitude of point 2 (degrees) -* *lon2* = λ2, longitude of point 2 (degrees) -* *azi2* = α2, (forward) azimuth of line at point 2 (degrees) -* *s12* = *s*12, distance from 1 to 2 (meters) -* *a12* = σ12, arc length on auxiliary sphere from 1 to 2 - (degrees) -* *m12* = *m*12, reduced length of geodesic (meters) -* *M12* = *M*12, geodesic scale at 2 relative to 1 (dimensionless) -* *M21* = *M*21, geodesic scale at 1 relative to 2 (dimensionless) -* *S12* = *S*12, area between geodesic and equator - (meters2) - -The input parameters together with *a12* are always included in the -object. Azimuths are reduced to the range [−180°, 180°]. -See {@tutorial 1-geodesics} for the definitions of these quantities. - -### The *outmask* and *caps* parameters - -By default, the geodesic routines return the 7 basic quantities: *lat1*, -*lon1*, *azi1*, *lat2*, *lon2*, *azi2*, *s12*, together with the arc -length *a12*. The optional output mask parameter, *outmask*, can be -used to tailor which quantities to calculate. In addition, when a -{@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} is -constructed it can be provided with the optional capabilities parameter, -*caps*, which specifies what quantities can be returned from the -resulting object. - -Both *outmask* and *caps* are obtained by or'ing together the following -values -* Geodesic.NONE, no capabilities, no output; -* Geodesic.ARC, compute arc length, *a12*; this is always implicitly set; -* Geodesic.LATITUDE, compute latitude, *lat2*; -* Geodesic.LONGITUDE, compute longitude, *lon2*; -* Geodesic.AZIMUTH, compute azimuths, *azi1* and *azi2*; -* Geodesic.DISTANCE, compute distance, *s12*; -* Geodesic.STANDARD, all of the above; -* Geodesic.DISTANCE_IN, allow *s12* to be used as input in the direct problem; -* Geodesic.REDUCEDLENGTH, compute reduced length, *m12*; -* Geodesic.GEODESICSCALE, compute geodesic scales, *M12* and *M21*; -* Geodesic.AREA, compute area, *S12*; -* Geodesic.ALL, all of the above; -* Geodesic.LONG_UNROLL, unroll longitudes. - -Geodesic.DISTANCE_IN is a capability provided to the -{@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} -constructor. It allows the position on the line to specified in terms -of distance. (Without this, the position can only be specified in terms -of the arc length.) This only makes sense in the *caps* parameter. - -Geodesic.LONG_UNROLL controls the treatment of longitude. If it is not -set then the *lon1* and *lon2* fields are both reduced to the range -[−180°, 180°]. If it is set, then *lon1* is as given in -the function call and (*lon2* − *lon1*) determines how many times -and in what sense the geodesic has encircled the ellipsoid. This only -makes sense in the *outmask* parameter. - -Note that *a12* is always included in the result. - -### Restrictions on the parameters - -* Latitudes must lie in [−90°, 90°]. Latitudes outside - this range are replaced by NaNs. -* The distance *s12* is unrestricted. This allows geodesics to wrap - around the ellipsoid. Such geodesics are no longer shortest paths. - However they retain the property that they are the straightest curves - on the surface. -* Similarly, the spherical arc length *a12* is unrestricted. -* Longitudes and azimuths are unrestricted; internally these are exactly - reduced to the range [−180°, 180°]; but see also the - LONG_UNROLL bit. -* The equatorial radius *a* and the polar semi-axis *b* must both be - positive and finite (this implies that −∞ < *f* < 1). -* The flattening *f* should satisfy *f* ∈ [−1/50,1/50] in - order to retain full accuracy. This condition holds for most - applications in geodesy. - -Reasonably accurate results can be obtained for −0.2 ≤ *f* ≤ -0.2. Here is a table of the approximate maximum error (expressed as a -distance) for an ellipsoid with the same equatorial radius as the WGS84 -ellipsoid and different values of the flattening. - - | abs(f) | error - |:-------|------: - | 0.003 | 15 nm - | 0.01 | 25 nm - | 0.02 | 30 nm - | 0.05 | 10 μm - | 0.1 | 1.5 mm - | 0.2 | 300 mm - -Here 1 nm = 1 nanometer = 10−9 m (*not* 1 nautical mile!) diff --git a/libs/GeographicLib-1.50.1/js/doc/3-examples.md b/libs/GeographicLib-1.50.1/js/doc/3-examples.md deleted file mode 100644 index 445d09d3995ea8464548cfef821b3b3eaa4aa949..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/doc/3-examples.md +++ /dev/null @@ -1,276 +0,0 @@ -Jump to -* [GeographicLib namespace](#namespace) -* [Specifying the ellipsoid](#ellipsoid) -* [Basic geodesic calculations](#basic) -* [Computing waypoints](#waypoints) -* [Measuring areas](#area) -* [Degrees, minutes, seconds conversion](#dms) - -### GeographicLib namespace - -This capabilities of this package are all exposed through the -{@link GeographicLib} namespace. This is can brought into scope in -various ways. - -#### Using node after installing the package with npm - -If [npm](https://www.npmjs.com) has been used to install geographiclib -via one of -```bash -$ npm install geographiclib -$ npm install --global geographiclib -``` -then in [node](https://nodejs.org), you can do -```javascript -var GeographicLib = require("geographiclib"); -``` - -#### Using node with a free-standing geographiclib.js - -If you have geographiclib.js (version 1.45 or later) in your current -directory, then [node](https://nodejs.org) can access it with -```javascript -var GeographicLib = require("./geographiclib"); -``` -A similar prescription works if geographiclib.js is installed elsewhere -in your filesystem, replacing "./" above with the correct directory. -Note that the directory must begin with "./", "../", or "/". - -#### HTML with your own version of geographiclib.min.js - -Load geographiclib.min.js with -```html - -``` -This ".min.js" version has been "minified" by removing comments and -redundant white space; this is appropriate for web applications. - -#### HTML downloading geographiclib.min.js from SourceForge - -Load geographiclib.min.js with -```html - -``` -This uses the latest version. If you want use a specific version, load -with, for example, -```html - -``` -Browse -[https://geographiclib.sourceforge.io/scripts](https://geographiclib.sourceforge.io/scripts) -to see what versions are available. - -#### Loading geographiclib.min.js with AMD - -This uses [require.js](http://requirejs.org/) (which you can download -[here](http://requirejs.org/docs/download.html)) to load geographiclib -(version 1.45 or later) asynchronously. Your web page includes -```html - - -``` -where main.js contains, for example, -```javascript -require.config({ - paths: { - geographiclib: "./geographiclib.min" - } -}); - -define(["geographiclib"], function(GeographicLib) { - // do something with GeographicLib here. -}); -``` - -### Specifying the ellipsoid - -Once {@link GeographicLib} has been brought into scope, the ellipsoid is -defined via the {@link module:GeographicLib/Geodesic.Geodesic Geodesic} -constructor using the equatorial radius *a* in meters and the flattening -*f*, for example -```javascipt -var geod = new GeographicLib.Geodesic.Geodesic(6378137, 1/298.257223563); -``` -These are the parameters for the WGS84 ellipsoid and this comes predefined -by the package as -```javascipt -var geod = GeographicLib.Geodesic.WGS84; -``` -Note that you can set *f* = 0 to give a sphere (on which geodesics are -great circles) and *f* < 0 to give a prolate ellipsoid. - -The rest of the examples on this page assume the following assignments -```javascript -var GeographicLib = require("geographiclib"); -var Geodesic = GeographicLib.Geodesic, - DMS = GeographicLib.DMS, - geod = Geodesic.WGS84; -``` -with the understanding that the first line should be replaced with the -appropriate construction needed to bring the -[GeographicLib namespace](#namespace) into scope. - -### Basic geodesic calculations - -The distance from Wellington, NZ (41.32S, 174.81E) to Salamanca, Spain -(40.96N, 5.50W) using -{@link module:GeographicLib/Geodesic.Geodesic#Inverse -Geodesic.Inverse}: -```javascript -var r = geod.Inverse(-41.32, 174.81, 40.96, -5.50); -console.log("The distance is " + r.s12.toFixed(3) + " m."); -``` -→`The distance is 19959679.267 m.` - -The point the point 20000 km SW of Perth, Australia (32.06S, 115.74E) using -{@link module:GeographicLib/Geodesic.Geodesic#Direct -Geodesic.Direct}: -```javascript -var r = geod.Direct(-32.06, 115.74, 225, 20000e3); -console.log("The position is (" + - r.lat2.toFixed(8) + ", " + r.lon2.toFixed(8) + ")."); -``` -→`The position is (32.11195529, -63.95925278).` - -The area between the geodesic from JFK Airport (40.6N, 73.8W) to LHR -Airport (51.6N, 0.5W) and the equator. This is an example of setting -the *outmask* parameter, see {@tutorial 2-interface}, "The *outmask* and -*caps* parameters". -```javascript -var r = geod.Inverse(40.6, -73.8, 51.6, -0.5, Geodesic.AREA); -console.log("The area is " + r.S12.toFixed(1) + " m^2"); -``` -→`The area is 40041368848742.5 m^2` - -### Computing waypoints - -Consider the geodesic between Beijing Airport (40.1N, 116.6E) and San -Fransisco Airport (37.6N, 122.4W). Compute waypoints and azimuths at -intervals of 1000 km using -{@link module:GeographicLib/Geodesic.Geodesic#InverseLine -Geodesic.InverseLine} and -{@link module:GeographicLib/GeodesicLine.GeodesicLine#Position -GeodesicLine.Position}: -```javascript -var l = geod.InverseLine(40.1, 116.6, 37.6, -122.4), - n = Math.ceil(l.s13 / ds), - i, s; -console.log("distance latitude longitude azimuth"); -for (i = 0; i <= n; ++i) { - s = Math.min(ds * i, l.s13); - r = l.Position(s, Geodesic.STANDARD | Geodesic.LONG_UNROLL); - console.log(r.s12.toFixed(0) + " " + r.lat2.toFixed(5) + " " + - r.lon2.toFixed(5) + " " + r.azi2.toFixed(5)); -} -``` -gives -```text -distance latitude longitude azimuth -0 40.10000 116.60000 42.91642 -1000000 46.37321 125.44903 48.99365 -2000000 51.78786 136.40751 57.29433 -3000000 55.92437 149.93825 68.24573 -4000000 58.27452 165.90776 81.68242 -5000000 58.43499 183.03167 96.29014 -6000000 56.37430 199.26948 109.99924 -7000000 52.45769 213.17327 121.33210 -8000000 47.19436 224.47209 129.98619 -9000000 41.02145 233.58294 136.34359 -9513998 37.60000 237.60000 138.89027 -``` -The inclusion of Geodesic.LONG_UNROLL in the call to -{@link module:GeographicLib/GeodesicLine.GeodesicLine#Position -GeodesicLine.Position} ensures that the longitude does not jump on -crossing the international dateline. - -If the purpose of computing the waypoints is to plot a smooth geodesic, -then it's not important that they be exactly equally spaced. In this -case, it's faster to parameterize the line in terms of the spherical arc -length with -{@link module:GeographicLib/GeodesicLine.GeodesicLine#ArcPosition -GeodesicLine.ArcPosition} instead of the distance. Here the spacing is -about 1° of arc which means that the distance between the waypoints -will be about 60 NM. -```javascript -var l = geod.InverseLine(40.1, 116.6, 37.6, -122.4, - Geodesic.LATITUDE | Geodesic.LONGITUDE), - da = 1, n = Math.ceil(l.a13 / da), - i, a; -da = l.a13 / n; -console.log("latitude longitude"); -for (i = 0; i <= n; ++i) { - a = da * i; - r = l.ArcPosition(a, Geodesic.LATITUDE | - Geodesic.LONGITUDE | Geodesic.LONG_UNROLL); - console.log(r.lat2.toFixed(5) + " " + r.lon2.toFixed(5)); -} -``` -gives -```text -latitude longitude -40.10000 116.60000 -40.82573 117.49243 -41.54435 118.40447 -42.25551 119.33686 -42.95886 120.29036 -43.65403 121.26575 -44.34062 122.26380 -... -39.82385 235.05331 -39.08884 235.91990 -38.34746 236.76857 -37.60000 237.60000 -``` -The variation in the distance between these waypoints is on the order of -1/*f*. - -### Measuring areas - -Measure the area of Antarctica using -{@link module:GeographicLib/Geodesic.Geodesic#Polygon -Geodesic.Polygon} and the -{@link module:GeographicLib/PolygonArea.PolygonArea -PolygonArea} class: -```javascript -var p = geod.Polygon(false), i, - antarctica = [ - [-63.1, -58], [-72.9, -74], [-71.9,-102], [-74.9,-102], [-74.3,-131], - [-77.5,-163], [-77.4, 163], [-71.7, 172], [-65.9, 140], [-65.7, 113], - [-66.6, 88], [-66.9, 59], [-69.8, 25], [-70.0, -4], [-71.0, -14], - [-77.3, -33], [-77.9, -46], [-74.7, -61] - ]; -for (i = 0; i < antarctica.length; ++i) - p.AddPoint(antarctica[i][0], antarctica[i][1]); -p = p.Compute(false, true); -console.log("Perimeter/area of Antarctica are " + - p.perimeter.toFixed(3) + " m / " + - p.area.toFixed(1) + " m^2."); -``` -→`Perimeter/area of Antarctica are 16831067.893 m / 13662703680020.1 m^2.` - -If the points of the polygon are being selected interactively, then -{@link module:GeographicLib/PolygonArea.PolygonArea#TestPoint -PolygonArea.TestPoint} can be used to report the area and perimeter for -a polygon with a tentative final vertex which tracks the mouse pointer. - -### Degrees, minutes, seconds conversion - -Compute the azimuth for geodesic from JFK (73.8W, 40.6N) to Paris CDG -(49°01'N, 2°33'E) using the {@link module:GeographicLib/DMS DMS} module: -```javascript -var c = "73.8W 40.6N 49°01'N 2°33'E".split(" "), - p1 = DMS.DecodeLatLon(c[0], c[1]), - p2 = DMS.DecodeLatLon(c[2], c[3]), - r = geod.Inverse(p1.lat, p1.lon, p2.lat, p2.lon); -console.log("Start = (" + - DMS.Encode(r.lat1, DMS.MINUTE, 0, DMS.LATITUDE) + ", " + - DMS.Encode(r.lon1, DMS.MINUTE, 0, DMS.LONGITUDE) + - "), azimuth = " + - DMS.Encode(r.azi1, DMS.MINUTE, 1, DMS.AZIMUTH)); -``` -→`Start = (40°36'N, 073°48'W), azimuth = 053°28.2'` diff --git a/libs/GeographicLib-1.50.1/js/doc/tutorials.json b/libs/GeographicLib-1.50.1/js/doc/tutorials.json deleted file mode 100644 index f9bfb255a95893955c149748c937ccab7c2d519c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/doc/tutorials.json +++ /dev/null @@ -1,11 +0,0 @@ - { - "1-geodesics": { - "title": "General information on geodesics" - }, - "2-interface": { - "title": "The library interface" - }, - "3-examples": { - "title": "Examples of use" - } - } diff --git a/libs/GeographicLib-1.50.1/js/js-cat.sh b/libs/GeographicLib-1.50.1/js/js-cat.sh deleted file mode 100755 index 272149989bdff1fd6967cec50b9c674f17be393b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/js-cat.sh +++ /dev/null @@ -1,37 +0,0 @@ -#! /bin/sh -e -# Concatenate JavaScript files -HEADER=$1 -shift -JS_VERSION=`grep -h "version_string = " "$@" | cut -f2 -d'"'` -FILE_INVENTORY= -for f; do - FILE_INVENTORY="$FILE_INVENTORY `basename $f`" -done -sed -e "s/@JS_VERSION@/$JS_VERSION/" -e "s/@FILE_INVENTORY@/$FILE_INVENTORY/" \ - $HEADER -cat <", - "contributors": [ - "Yurij Mikhalevich <0@39.yt>" - ], - "license": "MIT", - "bugs": { - "url": "https://sourceforge.net/p/geographiclib/discussion/", - "email": "charles@karney.com" - } -} diff --git a/libs/GeographicLib-1.50.1/js/samples/geod-calc.html b/libs/GeographicLib-1.50.1/js/samples/geod-calc.html deleted file mode 100644 index dacce1efcb2b8a762523fee84bf61af6fcadadb0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/samples/geod-calc.html +++ /dev/null @@ -1,593 +0,0 @@ - - - - Geodesic calculations for an ellipsoid done right - - - - - - - - - -
-

Geodesic calculations for an ellipsoid done right

-
-

- This page illustrates the geodesic routines available in - JavaScript package - - geographiclib, the geodesic routines in GeographicLib - ( - documentation). - The algorithms are considerably more accurate than Vincenty's - method, and offer more functionality (an inverse method which - never fails to converge, differential properties of the geodesic, - and the area under a geodesic). The algorithms are derived in -

- Charles F. F. Karney,
- - Algorithms for geodesics,
- J. Geodesy 87(1), 43–55 (Jan. 2013);
- DOI: - - 10.1007/s00190-012-0578-z - (pdf); - addenda: - - geod-addenda.html. -
- This page just provides a basic interface. Enter latitudes, - longitudes, and azimuths as degrees and distances as meters using - spaces or commas as separators. (Angles may be entered as decimal - degrees or as degrees, minutes, and seconds, e.g. -20.51125, - 20°30′40.5″S, S20d30'40.5", or - -20:30:40.5.) The results are accurate to about - 15 nanometers (or 0.1 m2 per vertex for - areas). A slicker page where the geodesics are incorporated into - Google Maps is given here. Basic - online tools which provide similar capabilities are - - GeodSolve - and - - Planimeter; - these call a C++ backend. This page uses version - - of the geodesic code. -

- Jump to: -

-

-
-
-

Inverse problem

-

- Find the shortest path between two points on the earth. The - path is characterized by its length s12 and its azimuth - at the two ends azi1 and azi2. See - - GeodSolve(1) - for the definition of the - quantities a12, m12, M12, M21, - and S12. The sample calculation finds the shortest path - between Wellington, New Zealand, and Salamanca, Spain. To - perform the calculation, press the “COMPUTE” button. -

-

Enter “lat1 lon1 lat2 lon2”:

-

input: - -

-

- Output format:    -
- Output precision:   -

-

- -

-

- status: - -

-

- lat1 lon1 azi1: - -

-

- lat2 lon2 azi2: - -

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- s12: - -

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- a12: - -

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- m12: - -

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- M12 M21: - -

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- S12: - -

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Direct problem

-

- Find the destination traveling a given distance along a geodesic - with a given azimuth at the starting point. The destination is - characterized by its position lat2, lon2 and its azimuth - at the destination azi2. See - - GeodSolve(1) - for the definition of the - quantities a12, m12, M12, M21, - and S12. The sample calculation shows the result of - travelling 10000 km NE from JFK airport. To perform the - calculation, press the “COMPUTE” button. -

-

Enter “lat1 lon1 azi1 s12”:

-

input: - -

-

- Output format:    -
- Output precision:   -

-

- -

-

- status: - -

-

- lat1 lon1 azi1: - -

-

- lat2 lon2 azi2: - -

-

- s12: - -

-

- a12: - -

-

- m12: - -

-

- M12 M21: - -

-

- S12: - -

-
-
-
-

Geodesic path

-

- Find intermediate points along a geodesic. In addition to - specifying the endpoints, give ds12, the maximum distance - between the intermediate points and maxk, the maximum - number of intervals the geodesic is broken into. The output - gives a sequence of positions lat, lon together with the - corresponding azimuths azi. The sample shows the path - from JFK to Singapore's Changi Airport at about 1000 km - intervals. (In this example, the path taken by Google Earth - deviates from the shortest path by about 2.9 km.) To perform - the calculation, press the “COMPUTE” button. -

-

Enter “lat1 lon1 lat2 lon2 ds12 maxk”:

-

input: - -

-

- Output format:    -
- Output precision:   -

-

- -

-

- status: - -

-

- points (lat lon azi):
- -

- -
-
-

Polygon area

-

- Find the perimeter and area of a polygon whose sides are - geodesics. The polygon must be simple (i.e., must not intersect - itself). (There's no need to ensure that the polygon is - closed.) Counter-clockwise traversal of the polygon results in - a positive area. The polygon can encircle one or both poles. - The sample gives the approximate perimeter (in m) and area (in - m2) of Antarctica. (For this example, Google Earth - Pro returns an area which is 30 times too large! However this - is a little unfair, since Google Earth has no concept of - polygons which encircle a pole.) If the polyline option - is selected then just the length of the line joining the points - is returned. To perform the calculation, press the - “COMPUTE” button. -

-

Enter points, one per line, as “lat lon”:

-

points (lat lon):
- -

-

- Treat points as:    - -

-

- -

-

- status: - -

-

- number perimeter area: - -

- -
-
Charles Karney - <charles@karney.com> - (2015-08-12)
-
- - Geographiclib Sourceforge - - diff --git a/libs/GeographicLib-1.50.1/js/samples/geod-google-instructions.html b/libs/GeographicLib-1.50.1/js/samples/geod-google-instructions.html deleted file mode 100644 index 2e30d5a5d3f95e602aeb8af61fe2b3ec95e1673e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/samples/geod-google-instructions.html +++ /dev/null @@ -1,127 +0,0 @@ - - - - - Geodesic lines, circles, envelopes in Google Maps (instructions) - - - - - - - -

- Geodesic lines, circles, envelopes in Google Maps (instructions) -

-

- The page allows you to draw - accurate ellipsoidal geodesics on Google Maps. You can specify the - geodesic in one of two forms: -

    -
  • - The direct problem: specify a starting point, an - azimuth and a distance as lat1 lon1 azi1 s12 as degrees - and meters. -
  • - The inverse problem: specify the two end points - as lat1 lon1 lat2 lon2 as degrees; this finds the - shortest path between the two points. -
- (Angles may be entered as decimal degrees or as degrees, minutes, - and seconds, e.g. -20.51125, 20°30′40.5″S, - S20d30'40.5", or -20:30:40.5.) Click on the - corresponding "compute" button. The display then shows -
    -
  • The requested geodesic as a blue - line; the WGS84 ellipsoid model is used. -
  • The geodesic circle as a green - curve; this shows the locus of points a - distance s12 from lat1, lon1. -
  • The geodesic envelopes as red - curves; all the geodesics emanating from lat1, - lon1 are tangent to the envelopes (providing they are - extended far enough). The number of solutions to the inverse - problem changes depending on whether lat2, lon2 lies - inside the envelopes. For example, there are four (resp. two) - approximately hemispheroidal geodesics if this point lies - inside (resp. outside) the inner envelope (only one of which - is a shortest path). -
-

-

- The sample data has lat1, lon1 in Wellington, New - Zealand, lat2, lon2 in Salamanca, Spain, and s12 - about 1.5 times the earth's circumference. Try clicking on the - "compute" button next to the "Direct:" input box when the page - first loads. You can navigate around the map using the normal - Google Map controls. -

-

- The precision of output for the geodesic is 0.1" or 1 m. - A text-only geodesic calculator based - on the same JavaScript library is also available; this calculator - solves the inverse and direct geodesic problems, computes - intermediate points on a geodesic, and finds the area of a - geodesic polygon; it allows you to specify the precision of the - output and choose between decimal degrees and degrees, minutes, - and seconds. Basic online tools which provide similar capabilities - are - - GeodSolve - and - - Planimeter; - these call a C++ backend. -

-

- The JavaScript code for computing the geodesic lines, circles, and - envelopes available in the JavaScript package - - geographiclib, the geodesic routines in GeographicLib - ( - documentation). The algorithms are derived in -

- Charles F. F. Karney,
- - Algorithms for geodesics,
- J. Geodesy 87(1), 43–55 (Jan. 2013);
- DOI: - - 10.1007/s00190-012-0578-z - (pdf);
- addenda: - - geod-addenda.html. -
- In putting together this Google Maps demonstration, I started with - the sample code - - geometry-headings. -

-
-
Charles Karney - <charles@karney.com> - (2011-08-02)
-
- - Geographiclib Sourceforge - - diff --git a/libs/GeographicLib-1.50.1/js/samples/geod-google.html b/libs/GeographicLib-1.50.1/js/samples/geod-google.html deleted file mode 100644 index 94b30795262fb87f5eaf77bb0647354b7caca14a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/samples/geod-google.html +++ /dev/null @@ -1,340 +0,0 @@ - - - - - Geodesic lines, circles, envelopes in Google Maps - - - - - - - - - - - - -
-
-
-

-  Direct:   - - -

-

-  Inverse: - - -

-

-  lat1 lon1 azi1: -

-

-  lat2 lon2 azi2: -

-

-  s12: -    status: -    - INSTRUCTIONS - (v) -

-
- - diff --git a/libs/GeographicLib-1.50.1/js/src/DMS.js b/libs/GeographicLib-1.50.1/js/src/DMS.js deleted file mode 100644 index e800a20c78300b24987662336f2923ab694f8e67..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/src/DMS.js +++ /dev/null @@ -1,482 +0,0 @@ -/* - * DMS.js - * Transcription of DMS.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -GeographicLib.DMS = {}; - -(function( - /** - * @exports GeographicLib/DMS - * @description Decode/Encode angles expressed as degrees, minutes, and - * seconds. This module defines several constants: - * - hemisphere indicator (returned by - * {@link module:GeographicLib/DMS.Decode Decode}) and a formatting - * indicator (used by - * {@link module:GeographicLib/DMS.Encode Encode}) - * - NONE = 0, no designator and format as plain angle; - * - LATITUDE = 1, a N/S designator and format as latitude; - * - LONGITUDE = 2, an E/W designator and format as longitude; - * - AZIMUTH = 3, format as azimuth; - * - the specification of the trailing component in - * {@link module:GeographicLib/DMS.Encode Encode} - * - DEGREE; - * - MINUTE; - * - SECOND. - */ - d) { - - var lookup, zerofill, internalDecode, numMatch, - hemispheres_ = "SNWE", - signs_ = "-+", - digits_ = "0123456789", - dmsindicators_ = "D'\":", - // dmsindicatorsu_ = "\u00b0\u2032\u2033"; // Unicode variants - dmsindicatorsu_ = "\u00b0'\"", // Use degree symbol - components_ = ["degrees", "minutes", "seconds"]; - lookup = function(s, c) { - return s.indexOf(c.toUpperCase()); - }; - zerofill = function(s, n) { - return String("0000").substr(0, Math.max(0, Math.min(4, n-s.length))) + - s; - }; - d.NONE = 0; - d.LATITUDE = 1; - d.LONGITUDE = 2; - d.AZIMUTH = 3; - d.DEGREE = 0; - d.MINUTE = 1; - d.SECOND = 2; - - /** - * @summary Decode a DMS string. - * @description The interpretation of the string is given in the - * documentation of the corresponding function, Decode(string&, flag&) - * in the {@link - * https://geographiclib.sourceforge.io/html/classGeographicLib_1_1DMS.html - * C++ DMS class} - * @param {string} dms the string. - * @returns {object} r where r.val is the decoded value (degrees) and r.ind - * is a hemisphere designator, one of NONE, LATITUDE, LONGITUDE. - * @throws an error if the string is illegal. - */ - d.Decode = function(dms) { - var dmsa = dms, end, - v = 0, i = 0, mi, pi, vals, - ind1 = d.NONE, ind2, p, pa, pb; - dmsa = dmsa - .replace(/\u2212/g, '-') // U+2212 minus sign - .replace(/\u00b0/g, 'd') // U+00b0 degree symbol - .replace(/\u00ba/g, 'd') // U+00ba alt symbol - .replace(/\u2070/g, 'd') // U+2070 sup zero - .replace(/\u02da/g, 'd') // U+02da ring above - .replace(/\u2032/g, '\'') // U+2032 prime - .replace(/\u00b4/g, '\'') // U+00b4 acute accent - .replace(/\u2019/g, '\'') // U+2019 right single quote - .replace(/\u2033/g, '"') // U+2033 double prime - .replace(/\u201d/g, '"') // U+201d right double quote - .replace(/\u00a0/g, '') // U+00a0 non-breaking space - .replace(/\u202f/g, '') // U+202f narrow space - .replace(/\u2007/g, '') // U+2007 figure space - .replace(/''/g, '"') // '' -> " - .trim(); - - end = dmsa.length; - // p is pointer to the next piece that needs decoding - for (p = 0; p < end; p = pb, ++i) { - pa = p; - // Skip over initial hemisphere letter (for i == 0) - if (i === 0 && lookup(hemispheres_, dmsa.charAt(pa)) >= 0) - ++pa; - // Skip over initial sign (checking for it if i == 0) - if (i > 0 || (pa < end && lookup(signs_, dmsa.charAt(pa)) >= 0)) - ++pa; - // Find next sign - mi = dmsa.substr(pa, end - pa).indexOf('-'); - pi = dmsa.substr(pa, end - pa).indexOf('+'); - if (mi < 0) mi = end; else mi += pa; - if (pi < 0) pi = end; else pi += pa; - pb = Math.min(mi, pi); - vals = internalDecode(dmsa.substr(p, pb - p)); - v += vals.val; ind2 = vals.ind; - if (ind1 === d.NONE) - ind1 = ind2; - else if (!(ind2 === d.NONE || ind1 === ind2)) - throw new Error("Incompatible hemisphere specifies in " + - dmsa.substr(0, pb)); - } - if (i === 0) - throw new Error("Empty or incomplete DMS string " + dmsa); - return {val: v, ind: ind1}; - }; - - internalDecode = function(dmsa) { - var vals = {}, errormsg = "", - sign, beg, end, ind1, k, - ipieces, fpieces, npiece, - icurrent, fcurrent, ncurrent, p, - pointseen, - digcount, intcount, - x; - do { // Executed once (provides the ability to break) - sign = 1; - beg = 0; end = dmsa.length; - ind1 = d.NONE; - k = -1; - if (end > beg && (k = lookup(hemispheres_, dmsa.charAt(beg))) >= 0) { - ind1 = (k & 2) ? d.LONGITUDE : d.LATITUDE; - sign = (k & 1) ? 1 : -1; - ++beg; - } - if (end > beg && - (k = lookup(hemispheres_, dmsa.charAt(end-1))) >= 0) { - if (k >= 0) { - if (ind1 !== d.NONE) { - if (dmsa.charAt(beg - 1).toUpperCase() === - dmsa.charAt(end - 1).toUpperCase()) - errormsg = "Repeated hemisphere indicators " + - dmsa.charAt(beg - 1) + " in " + - dmsa.substr(beg - 1, end - beg + 1); - else - errormsg = "Contradictory hemisphere indicators " + - dmsa.charAt(beg - 1) + " and " + dmsa.charAt(end - 1) + " in " + - dmsa.substr(beg - 1, end - beg + 1); - break; - } - ind1 = (k & 2) ? d.LONGITUDE : d.LATITUDE; - sign = (k & 1) ? 1 : -1; - --end; - } - } - if (end > beg && (k = lookup(signs_, dmsa.charAt(beg))) >= 0) { - if (k >= 0) { - sign *= k ? 1 : -1; - ++beg; - } - } - if (end === beg) { - errormsg = "Empty or incomplete DMS string " + dmsa; - break; - } - ipieces = [0, 0, 0]; - fpieces = [0, 0, 0]; - npiece = 0; - icurrent = 0; - fcurrent = 0; - ncurrent = 0; - p = beg; - pointseen = false; - digcount = 0; - intcount = 0; - while (p < end) { - x = dmsa.charAt(p++); - if ((k = lookup(digits_, x)) >= 0) { - ++ncurrent; - if (digcount > 0) { - ++digcount; // Count of decimal digits - } else { - icurrent = 10 * icurrent + k; - ++intcount; - } - } else if (x === '.') { - if (pointseen) { - errormsg = "Multiple decimal points in " + - dmsa.substr(beg, end - beg); - break; - } - pointseen = true; - digcount = 1; - } else if ((k = lookup(dmsindicators_, x)) >= 0) { - if (k >= 3) { - if (p === end) { - errormsg = "Illegal for colon to appear at the end of " + - dmsa.substr(beg, end - beg); - break; - } - k = npiece; - } - if (k === npiece - 1) { - errormsg = "Repeated " + components_[k] + - " component in " + dmsa.substr(beg, end - beg); - break; - } else if (k < npiece) { - errormsg = components_[k] + " component follows " + - components_[npiece - 1] + " component in " + - dmsa.substr(beg, end - beg); - break; - } - if (ncurrent === 0) { - errormsg = "Missing numbers in " + components_[k] + - " component of " + dmsa.substr(beg, end - beg); - break; - } - if (digcount > 0) { - fcurrent = parseFloat(dmsa.substr(p - intcount - digcount - 1, - intcount + digcount)); - icurrent = 0; - } - ipieces[k] = icurrent; - fpieces[k] = icurrent + fcurrent; - if (p < end) { - npiece = k + 1; - icurrent = fcurrent = 0; - ncurrent = digcount = intcount = 0; - } - } else if (lookup(signs_, x) >= 0) { - errormsg = "Internal sign in DMS string " + - dmsa.substr(beg, end - beg); - break; - } else { - errormsg = "Illegal character " + x + " in DMS string " + - dmsa.substr(beg, end - beg); - break; - } - } - if (errormsg.length) - break; - if (lookup(dmsindicators_, dmsa.charAt(p - 1)) < 0) { - if (npiece >= 3) { - errormsg = "Extra text following seconds in DMS string " + - dmsa.substr(beg, end - beg); - break; - } - if (ncurrent === 0) { - errormsg = "Missing numbers in trailing component of " + - dmsa.substr(beg, end - beg); - break; - } - if (digcount > 0) { - fcurrent = parseFloat(dmsa.substr(p - intcount - digcount, - intcount + digcount)); - icurrent = 0; - } - ipieces[npiece] = icurrent; - fpieces[npiece] = icurrent + fcurrent; - } - if (pointseen && digcount === 0) { - errormsg = "Decimal point in non-terminal component of " + - dmsa.substr(beg, end - beg); - break; - } - // Note that we accept 59.999999... even though it rounds to 60. - if (ipieces[1] >= 60 || fpieces[1] > 60) { - errormsg = "Minutes " + fpieces[1] + " not in range [0,60)"; - break; - } - if (ipieces[2] >= 60 || fpieces[2] > 60) { - errormsg = "Seconds " + fpieces[2] + " not in range [0,60)"; - break; - } - vals.ind = ind1; - // Assume check on range of result is made by calling routine (which - // might be able to offer a better diagnostic). - vals.val = sign * - ( fpieces[2] ? (60*(60*fpieces[0] + fpieces[1]) + fpieces[2]) / 3600 : - ( fpieces[1] ? (60*fpieces[0] + fpieces[1]) / 60 : fpieces[0] ) ); - return vals; - } while (false); - vals.val = numMatch(dmsa); - if (vals.val === 0) - throw new Error(errormsg); - else - vals.ind = d.NONE; - return vals; - }; - - numMatch = function(s) { - var t, sign, p0, p1; - if (s.length < 3) - return 0; - t = s.toUpperCase().replace(/0+$/, ""); - sign = t.charAt(0) === '-' ? -1 : 1; - p0 = t.charAt(0) === '-' || t.charAt(0) === '+' ? 1 : 0; - p1 = t.length - 1; - if (p1 + 1 < p0 + 3) - return 0; - // Strip off sign and trailing 0s - t = t.substr(p0, p1 + 1 - p0); // Length at least 3 - if (t === "NAN" || t === "1.#QNAN" || t === "1.#SNAN" || t === "1.#IND" || - t === "1.#R") - return Number.NaN; - else if (t === "INF" || t === "1.#INF") - return sign * Number.POSITIVE_INFINITY; - return 0; - }; - - /** - * @summary Decode two DMS strings interpreting them as a latitude/longitude - * pair. - * @param {string} stra the first string. - * @param {string} strb the first string. - * @param {bool} [longfirst = false] if true assume then longitude is given - * first (in the absence of any hemisphere indicators). - * @returns {object} r where r.lat is the decoded latitude and r.lon is the - * decoded longitude (both in degrees). - * @throws an error if the strings are illegal. - */ - d.DecodeLatLon = function(stra, strb, longfirst) { - var vals = {}, - valsa = d.Decode(stra), - valsb = d.Decode(strb), - a = valsa.val, ia = valsa.ind, - b = valsb.val, ib = valsb.ind, - lat, lon; - if (!longfirst) longfirst = false; - if (ia === d.NONE && ib === d.NONE) { - // Default to lat, long unless longfirst - ia = longfirst ? d.LONGITUDE : d.LATITUDE; - ib = longfirst ? d.LATITUDE : d.LONGITUDE; - } else if (ia === d.NONE) - ia = d.LATITUDE + d.LONGITUDE - ib; - else if (ib === d.NONE) - ib = d.LATITUDE + d.LONGITUDE - ia; - if (ia === ib) - throw new Error("Both " + stra + " and " + strb + " interpreted as " + - (ia === d.LATITUDE ? "latitudes" : "longitudes")); - lat = ia === d.LATITUDE ? a : b; - lon = ia === d.LATITUDE ? b : a; - if (Math.abs(lat) > 90) - throw new Error("Latitude " + lat + " not in [-90,90]"); - vals.lat = lat; - vals.lon = lon; - return vals; - }; - - /** - * @summary Decode a DMS string interpreting it as an arc length. - * @param {string} angstr the string (this must not include a hemisphere - * indicator). - * @returns {number} the arc length (degrees). - * @throws an error if the string is illegal. - */ - d.DecodeAngle = function(angstr) { - var vals = d.Decode(angstr), - ang = vals.val, ind = vals.ind; - if (ind !== d.NONE) - throw new Error("Arc angle " + angstr + - " includes a hemisphere N/E/W/S"); - return ang; - }; - - /** - * @summary Decode a DMS string interpreting it as an azimuth. - * @param {string} azistr the string (this may include an E/W hemisphere - * indicator). - * @returns {number} the azimuth (degrees). - * @throws an error if the string is illegal. - */ - d.DecodeAzimuth = function(azistr) { - var vals = d.Decode(azistr), - azi = vals.val, ind = vals.ind; - if (ind === d.LATITUDE) - throw new Error("Azimuth " + azistr + " has a latitude hemisphere N/S"); - return azi; - }; - - /** - * @summary Convert angle (in degrees) into a DMS string (using °, ', - * and "). - * @param {number} angle input angle (degrees). - * @param {number} trailing one of DEGREE, MINUTE, or SECOND to indicate - * the trailing component of the string (this component is given as a - * decimal number if necessary). - * @param {number} prec the number of digits after the decimal point for - * the trailing component. - * @param {number} [ind = NONE] a formatting indicator, one of NONE, - * LATITUDE, LONGITUDE, AZIMUTH. - * @returns {string} the resulting string formatted as follows: - * * NONE, signed result no leading zeros on degrees except in the units - * place, e.g., -8°03'. - * * LATITUDE, trailing N or S hemisphere designator, no sign, pad - * degrees to 2 digits, e.g., 08°03'S. - * * LONGITUDE, trailing E or W hemisphere designator, no sign, pad - * degrees to 3 digits, e.g., 008°03'W. - * * AZIMUTH, convert to the range [0, 360°), no sign, pad degrees to - * 3 digits, e.g., 351°57'. - */ - d.Encode = function(angle, trailing, prec, ind) { - // Assume check on range of input angle has been made by calling - // routine (which might be able to offer a better diagnostic). - var scale = 1, i, sign, - idegree, fdegree, f, pieces, ip, fp, s; - if (!ind) ind = d.NONE; - if (!isFinite(angle)) - return angle < 0 ? String("-inf") : - (angle > 0 ? String("inf") : String("nan")); - - // 15 - 2 * trailing = ceiling(log10(2^53/90/60^trailing)). - // This suffices to give full real precision for numbers in [-90,90] - prec = Math.min(15 - 2 * trailing, prec); - for (i = 0; i < trailing; ++i) - scale *= 60; - for (i = 0; i < prec; ++i) - scale *= 10; - if (ind === d.AZIMUTH) - angle -= Math.floor(angle/360) * 360; - sign = angle < 0 ? -1 : 1; - angle *= sign; - - // Break off integer part to preserve precision in manipulation of - // fractional part. - idegree = Math.floor(angle); - fdegree = (angle - idegree) * scale + 0.5; - f = Math.floor(fdegree); - // Implement the "round ties to even" rule - fdegree = (f === fdegree && (f & 1) === 1) ? f - 1 : f; - fdegree /= scale; - - fdegree = Math.floor((angle - idegree) * scale + 0.5) / scale; - if (fdegree >= 1) { - idegree += 1; - fdegree -= 1; - } - pieces = [fdegree, 0, 0]; - for (i = 1; i <= trailing; ++i) { - ip = Math.floor(pieces[i - 1]); - fp = pieces[i - 1] - ip; - pieces[i] = fp * 60; - pieces[i - 1] = ip; - } - pieces[0] += idegree; - s = ""; - if (ind === d.NONE && sign < 0) - s += '-'; - switch (trailing) { - case d.DEGREE: - s += zerofill(pieces[0].toFixed(prec), - ind === d.NONE ? 0 : - 1 + Math.min(ind, 2) + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(0); - break; - default: - s += zerofill(pieces[0].toFixed(0), - ind === d.NONE ? 0 : 1 + Math.min(ind, 2)) + - dmsindicatorsu_.charAt(0); - switch (trailing) { - case d.MINUTE: - s += zerofill(pieces[1].toFixed(prec), 2 + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(1); - break; - case d.SECOND: - s += zerofill(pieces[1].toFixed(0), 2) + dmsindicatorsu_.charAt(1); - s += zerofill(pieces[2].toFixed(prec), 2 + prec + (prec ? 1 : 0)) + - dmsindicatorsu_.charAt(2); - break; - default: - break; - } - } - if (ind !== d.NONE && ind !== d.AZIMUTH) - s += hemispheres_.charAt((ind === d.LATITUDE ? 0 : 2) + - (sign < 0 ? 0 : 1)); - return s; - }; -})(GeographicLib.DMS); diff --git a/libs/GeographicLib-1.50.1/js/src/Geodesic.js b/libs/GeographicLib-1.50.1/js/src/Geodesic.js deleted file mode 100644 index 2dacdb88f63be11da353ac6ae570db50e78dce5f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/src/Geodesic.js +++ /dev/null @@ -1,1393 +0,0 @@ -/* - * Geodesic.js - * Transcription of Geodesic.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2017) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER Math.js - -GeographicLib.Geodesic = {}; -GeographicLib.GeodesicLine = {}; -GeographicLib.PolygonArea = {}; - -(function( - /** - * @exports GeographicLib/Geodesic - * @description Solve geodesic problems via the - * {@link module:GeographicLib/Geodesic.Geodesic Geodesic} class. - */ - g, l, p, m, c) { - - var GEOGRAPHICLIB_GEODESIC_ORDER = 6, - nA1_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA2_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA3_ = GEOGRAPHICLIB_GEODESIC_ORDER, - nA3x_ = nA3_, - nC3x_, nC4x_, - maxit1_ = 20, - maxit2_ = maxit1_ + m.digits + 10, - tol0_ = m.epsilon, - tol1_ = 200 * tol0_, - tol2_ = Math.sqrt(tol0_), - tolb_ = tol0_ * tol1_, - xthresh_ = 1000 * tol2_, - CAP_NONE = 0, - CAP_ALL = 0x1F, - CAP_MASK = CAP_ALL, - OUT_ALL = 0x7F80, - astroid, - A1m1f_coeff, C1f_coeff, C1pf_coeff, - A2m1f_coeff, C2f_coeff, - A3_coeff, C3_coeff, C4_coeff; - - g.tiny_ = Math.sqrt(Number.MIN_VALUE); - g.nC1_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC1p_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC2_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC3_ = GEOGRAPHICLIB_GEODESIC_ORDER; - g.nC4_ = GEOGRAPHICLIB_GEODESIC_ORDER; - nC3x_ = (g.nC3_ * (g.nC3_ - 1)) / 2; - nC4x_ = (g.nC4_ * (g.nC4_ + 1)) / 2; - g.CAP_C1 = 1<<0; - g.CAP_C1p = 1<<1; - g.CAP_C2 = 1<<2; - g.CAP_C3 = 1<<3; - g.CAP_C4 = 1<<4; - - g.NONE = 0; - g.ARC = 1<<6; - g.LATITUDE = 1<<7 | CAP_NONE; - g.LONGITUDE = 1<<8 | g.CAP_C3; - g.AZIMUTH = 1<<9 | CAP_NONE; - g.DISTANCE = 1<<10 | g.CAP_C1; - g.STANDARD = g.LATITUDE | g.LONGITUDE | g.AZIMUTH | g.DISTANCE; - g.DISTANCE_IN = 1<<11 | g.CAP_C1 | g.CAP_C1p; - g.REDUCEDLENGTH = 1<<12 | g.CAP_C1 | g.CAP_C2; - g.GEODESICSCALE = 1<<13 | g.CAP_C1 | g.CAP_C2; - g.AREA = 1<<14 | g.CAP_C4; - g.ALL = OUT_ALL| CAP_ALL; - g.LONG_UNROLL = 1<<15; - g.OUT_MASK = OUT_ALL| g.LONG_UNROLL; - - g.SinCosSeries = function(sinp, sinx, cosx, c) { - // Evaluate - // y = sinp ? sum(c[i] * sin( 2*i * x), i, 1, n) : - // sum(c[i] * cos((2*i+1) * x), i, 0, n-1) - // using Clenshaw summation. N.B. c[0] is unused for sin series - // Approx operation count = (n + 5) mult and (2 * n + 2) add - var k = c.length, // Point to one beyond last element - n = k - (sinp ? 1 : 0), - ar = 2 * (cosx - sinx) * (cosx + sinx), // 2 * cos(2 * x) - y0 = n & 1 ? c[--k] : 0, y1 = 0; // accumulators for sum - // Now n is even - n = Math.floor(n/2); - while (n--) { - // Unroll loop x 2, so accumulators return to their original role - y1 = ar * y0 - y1 + c[--k]; - y0 = ar * y1 - y0 + c[--k]; - } - return (sinp ? 2 * sinx * cosx * y0 : // sin(2 * x) * y0 - cosx * (y0 - y1)); // cos(x) * (y0 - y1) - }; - - astroid = function(x, y) { - // Solve k^4+2*k^3-(x^2+y^2-1)*k^2-2*y^2*k-y^2 = 0 for positive - // root k. This solution is adapted from Geocentric::Reverse. - var k, - p = m.sq(x), - q = m.sq(y), - r = (p + q - 1) / 6, - S, r2, r3, disc, u, T3, T, ang, v, uv, w; - if ( !(q === 0 && r <= 0) ) { - // Avoid possible division by zero when r = 0 by multiplying - // equations for s and t by r^3 and r, resp. - S = p * q / 4; // S = r^3 * s - r2 = m.sq(r); - r3 = r * r2; - // The discriminant of the quadratic equation for T3. This is - // zero on the evolute curve p^(1/3)+q^(1/3) = 1 - disc = S * (S + 2 * r3); - u = r; - if (disc >= 0) { - T3 = S + r3; - // Pick the sign on the sqrt to maximize abs(T3). This - // minimizes loss of precision due to cancellation. The - // result is unchanged because of the way the T is used - // in definition of u. - T3 += T3 < 0 ? -Math.sqrt(disc) : Math.sqrt(disc); // T3 = (r * t)^3 - // N.B. cbrt always returns the real root. cbrt(-8) = -2. - T = m.cbrt(T3); // T = r * t - // T can be zero; but then r2 / T -> 0. - u += T + (T !== 0 ? r2 / T : 0); - } else { - // T is complex, but the way u is defined the result is real. - ang = Math.atan2(Math.sqrt(-disc), -(S + r3)); - // There are three possible cube roots. We choose the - // root which avoids cancellation. Note that disc < 0 - // implies that r < 0. - u += 2 * r * Math.cos(ang / 3); - } - v = Math.sqrt(m.sq(u) + q); // guaranteed positive - // Avoid loss of accuracy when u < 0. - uv = u < 0 ? q / (v - u) : u + v; // u+v, guaranteed positive - w = (uv - q) / (2 * v); // positive? - // Rearrange expression for k to avoid loss of accuracy due to - // subtraction. Division by 0 not possible because uv > 0, w >= 0. - k = uv / (Math.sqrt(uv + m.sq(w)) + w); // guaranteed positive - } else { // q == 0 && r <= 0 - // y = 0 with |x| <= 1. Handle this case directly. - // for y small, positive root is k = abs(y)/sqrt(1-x^2) - k = 0; - } - return k; - }; - - A1m1f_coeff = [ - // (1-eps)*A1-1, polynomial in eps2 of order 3 - +1, 4, 64, 0, 256 - ]; - - // The scale factor A1-1 = mean value of (d/dsigma)I1 - 1 - g.A1m1f = function(eps) { - var p = Math.floor(nA1_/2), - t = m.polyval(p, A1m1f_coeff, 0, m.sq(eps)) / A1m1f_coeff[p + 1]; - return (t + eps) / (1 - eps); - }; - - C1f_coeff = [ - // C1[1]/eps^1, polynomial in eps2 of order 2 - -1, 6, -16, 32, - // C1[2]/eps^2, polynomial in eps2 of order 2 - -9, 64, -128, 2048, - // C1[3]/eps^3, polynomial in eps2 of order 1 - +9, -16, 768, - // C1[4]/eps^4, polynomial in eps2 of order 1 - +3, -5, 512, - // C1[5]/eps^5, polynomial in eps2 of order 0 - -7, 1280, - // C1[6]/eps^6, polynomial in eps2 of order 0 - -7, 2048 - ]; - - // The coefficients C1[l] in the Fourier expansion of B1 - g.C1f = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC1_; ++l) { // l is index of C1p[l] - p = Math.floor((g.nC1_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C1f_coeff, o, eps2) / C1f_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - C1pf_coeff = [ - // C1p[1]/eps^1, polynomial in eps2 of order 2 - +205, -432, 768, 1536, - // C1p[2]/eps^2, polynomial in eps2 of order 2 - +4005, -4736, 3840, 12288, - // C1p[3]/eps^3, polynomial in eps2 of order 1 - -225, 116, 384, - // C1p[4]/eps^4, polynomial in eps2 of order 1 - -7173, 2695, 7680, - // C1p[5]/eps^5, polynomial in eps2 of order 0 - +3467, 7680, - // C1p[6]/eps^6, polynomial in eps2 of order 0 - +38081, 61440 - ]; - - // The coefficients C1p[l] in the Fourier expansion of B1p - g.C1pf = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC1p_; ++l) { // l is index of C1p[l] - p = Math.floor((g.nC1p_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C1pf_coeff, o, eps2) / C1pf_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - A2m1f_coeff = [ - // (eps+1)*A2-1, polynomial in eps2 of order 3 - -11, -28, -192, 0, 256 - ]; - - // The scale factor A2-1 = mean value of (d/dsigma)I2 - 1 - g.A2m1f = function(eps) { - var p = Math.floor(nA2_/2), - t = m.polyval(p, A2m1f_coeff, 0, m.sq(eps)) / A2m1f_coeff[p + 1]; - return (t - eps) / (1 + eps); - }; - - C2f_coeff = [ - // C2[1]/eps^1, polynomial in eps2 of order 2 - +1, 2, 16, 32, - // C2[2]/eps^2, polynomial in eps2 of order 2 - +35, 64, 384, 2048, - // C2[3]/eps^3, polynomial in eps2 of order 1 - +15, 80, 768, - // C2[4]/eps^4, polynomial in eps2 of order 1 - +7, 35, 512, - // C2[5]/eps^5, polynomial in eps2 of order 0 - +63, 1280, - // C2[6]/eps^6, polynomial in eps2 of order 0 - +77, 2048 - ]; - - // The coefficients C2[l] in the Fourier expansion of B2 - g.C2f = function(eps, c) { - var eps2 = m.sq(eps), - d = eps, - o = 0, - l, p; - for (l = 1; l <= g.nC2_; ++l) { // l is index of C2[l] - p = Math.floor((g.nC2_ - l) / 2); // order of polynomial in eps^2 - c[l] = d * m.polyval(p, C2f_coeff, o, eps2) / C2f_coeff[o + p + 1]; - o += p + 2; - d *= eps; - } - }; - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @summary Initialize a Geodesic object for a specific ellipsoid. - * @classdesc Performs geodesic calculations on an ellipsoid of revolution. - * The routines for solving the direct and inverse problems return an - * object with some of the following fields set: lat1, lon1, azi1, lat2, - * lon2, azi2, s12, a12, m12, M12, M21, S12. See {@tutorial 2-interface}, - * "The results". - * @example - * var GeographicLib = require("geographiclib"), - * geod = GeographicLib.Geodesic.WGS84; - * var inv = geod.Inverse(1,2,3,4); - * console.log("lat1 = " + inv.lat1 + ", lon1 = " + inv.lon1 + - * ", lat2 = " + inv.lat2 + ", lon2 = " + inv.lon2 + - * ",\nazi1 = " + inv.azi1 + ", azi2 = " + inv.azi2 + - * ", s12 = " + inv.s12); - * @param {number} a the equatorial radius of the ellipsoid (meters). - * @param {number} f the flattening of the ellipsoid. Setting f = 0 gives - * a sphere (on which geodesics are great circles). Negative f gives a - * prolate ellipsoid. - * @throws an error if the parameters are illegal. - */ - g.Geodesic = function(a, f) { - this.a = a; - this.f = f; - this._f1 = 1 - this.f; - this._e2 = this.f * (2 - this.f); - this._ep2 = this._e2 / m.sq(this._f1); // e2 / (1 - e2) - this._n = this.f / ( 2 - this.f); - this._b = this.a * this._f1; - // authalic radius squared - this._c2 = (m.sq(this.a) + m.sq(this._b) * - (this._e2 === 0 ? 1 : - (this._e2 > 0 ? m.atanh(Math.sqrt(this._e2)) : - Math.atan(Math.sqrt(-this._e2))) / - Math.sqrt(Math.abs(this._e2))))/2; - // The sig12 threshold for "really short". Using the auxiliary sphere - // solution with dnm computed at (bet1 + bet2) / 2, the relative error in - // the azimuth consistency check is sig12^2 * abs(f) * min(1, 1-f/2) / 2. - // (Error measured for 1/100 < b/a < 100 and abs(f) >= 1/1000. For a given - // f and sig12, the max error occurs for lines near the pole. If the old - // rule for computing dnm = (dn1 + dn2)/2 is used, then the error increases - // by a factor of 2.) Setting this equal to epsilon gives sig12 = etol2. - // Here 0.1 is a safety factor (error decreased by 100) and max(0.001, - // abs(f)) stops etol2 getting too large in the nearly spherical case. - this._etol2 = 0.1 * tol2_ / - Math.sqrt( Math.max(0.001, Math.abs(this.f)) * - Math.min(1.0, 1 - this.f/2) / 2 ); - if (!(isFinite(this.a) && this.a > 0)) - throw new Error("Equatorial radius is not positive"); - if (!(isFinite(this._b) && this._b > 0)) - throw new Error("Polar semi-axis is not positive"); - this._A3x = new Array(nA3x_); - this._C3x = new Array(nC3x_); - this._C4x = new Array(nC4x_); - this.A3coeff(); - this.C3coeff(); - this.C4coeff(); - }; - - A3_coeff = [ - // A3, coeff of eps^5, polynomial in n of order 0 - -3, 128, - // A3, coeff of eps^4, polynomial in n of order 1 - -2, -3, 64, - // A3, coeff of eps^3, polynomial in n of order 2 - -1, -3, -1, 16, - // A3, coeff of eps^2, polynomial in n of order 2 - +3, -1, -2, 8, - // A3, coeff of eps^1, polynomial in n of order 1 - +1, -1, 2, - // A3, coeff of eps^0, polynomial in n of order 0 - +1, 1 - ]; - - // The scale factor A3 = mean value of (d/dsigma)I3 - g.Geodesic.prototype.A3coeff = function() { - var o = 0, k = 0, - j, p; - for (j = nA3_ - 1; j >= 0; --j) { // coeff of eps^j - p = Math.min(nA3_ - j - 1, j); // order of polynomial in n - this._A3x[k++] = m.polyval(p, A3_coeff, o, this._n) / - A3_coeff[o + p + 1]; - o += p + 2; - } - }; - - C3_coeff = [ - // C3[1], coeff of eps^5, polynomial in n of order 0 - +3, 128, - // C3[1], coeff of eps^4, polynomial in n of order 1 - +2, 5, 128, - // C3[1], coeff of eps^3, polynomial in n of order 2 - -1, 3, 3, 64, - // C3[1], coeff of eps^2, polynomial in n of order 2 - -1, 0, 1, 8, - // C3[1], coeff of eps^1, polynomial in n of order 1 - -1, 1, 4, - // C3[2], coeff of eps^5, polynomial in n of order 0 - +5, 256, - // C3[2], coeff of eps^4, polynomial in n of order 1 - +1, 3, 128, - // C3[2], coeff of eps^3, polynomial in n of order 2 - -3, -2, 3, 64, - // C3[2], coeff of eps^2, polynomial in n of order 2 - +1, -3, 2, 32, - // C3[3], coeff of eps^5, polynomial in n of order 0 - +7, 512, - // C3[3], coeff of eps^4, polynomial in n of order 1 - -10, 9, 384, - // C3[3], coeff of eps^3, polynomial in n of order 2 - +5, -9, 5, 192, - // C3[4], coeff of eps^5, polynomial in n of order 0 - +7, 512, - // C3[4], coeff of eps^4, polynomial in n of order 1 - -14, 7, 512, - // C3[5], coeff of eps^5, polynomial in n of order 0 - +21, 2560 - ]; - - // The coefficients C3[l] in the Fourier expansion of B3 - g.Geodesic.prototype.C3coeff = function() { - var o = 0, k = 0, - l, j, p; - for (l = 1; l < g.nC3_; ++l) { // l is index of C3[l] - for (j = g.nC3_ - 1; j >= l; --j) { // coeff of eps^j - p = Math.min(g.nC3_ - j - 1, j); // order of polynomial in n - this._C3x[k++] = m.polyval(p, C3_coeff, o, this._n) / - C3_coeff[o + p + 1]; - o += p + 2; - } - } - }; - - C4_coeff = [ - // C4[0], coeff of eps^5, polynomial in n of order 0 - +97, 15015, - // C4[0], coeff of eps^4, polynomial in n of order 1 - +1088, 156, 45045, - // C4[0], coeff of eps^3, polynomial in n of order 2 - -224, -4784, 1573, 45045, - // C4[0], coeff of eps^2, polynomial in n of order 3 - -10656, 14144, -4576, -858, 45045, - // C4[0], coeff of eps^1, polynomial in n of order 4 - +64, 624, -4576, 6864, -3003, 15015, - // C4[0], coeff of eps^0, polynomial in n of order 5 - +100, 208, 572, 3432, -12012, 30030, 45045, - // C4[1], coeff of eps^5, polynomial in n of order 0 - +1, 9009, - // C4[1], coeff of eps^4, polynomial in n of order 1 - -2944, 468, 135135, - // C4[1], coeff of eps^3, polynomial in n of order 2 - +5792, 1040, -1287, 135135, - // C4[1], coeff of eps^2, polynomial in n of order 3 - +5952, -11648, 9152, -2574, 135135, - // C4[1], coeff of eps^1, polynomial in n of order 4 - -64, -624, 4576, -6864, 3003, 135135, - // C4[2], coeff of eps^5, polynomial in n of order 0 - +8, 10725, - // C4[2], coeff of eps^4, polynomial in n of order 1 - +1856, -936, 225225, - // C4[2], coeff of eps^3, polynomial in n of order 2 - -8448, 4992, -1144, 225225, - // C4[2], coeff of eps^2, polynomial in n of order 3 - -1440, 4160, -4576, 1716, 225225, - // C4[3], coeff of eps^5, polynomial in n of order 0 - -136, 63063, - // C4[3], coeff of eps^4, polynomial in n of order 1 - +1024, -208, 105105, - // C4[3], coeff of eps^3, polynomial in n of order 2 - +3584, -3328, 1144, 315315, - // C4[4], coeff of eps^5, polynomial in n of order 0 - -128, 135135, - // C4[4], coeff of eps^4, polynomial in n of order 1 - -2560, 832, 405405, - // C4[5], coeff of eps^5, polynomial in n of order 0 - +128, 99099 - ]; - - g.Geodesic.prototype.C4coeff = function() { - var o = 0, k = 0, - l, j, p; - for (l = 0; l < g.nC4_; ++l) { // l is index of C4[l] - for (j = g.nC4_ - 1; j >= l; --j) { // coeff of eps^j - p = g.nC4_ - j - 1; // order of polynomial in n - this._C4x[k++] = m.polyval(p, C4_coeff, o, this._n) / - C4_coeff[o + p + 1]; - o += p + 2; - } - } - }; - - g.Geodesic.prototype.A3f = function(eps) { - // Evaluate A3 - return m.polyval(nA3x_ - 1, this._A3x, 0, eps); - }; - - g.Geodesic.prototype.C3f = function(eps, c) { - // Evaluate C3 coeffs - // Elements c[1] thru c[nC3_ - 1] are set - var mult = 1, - o = 0, - l, p; - for (l = 1; l < g.nC3_; ++l) { // l is index of C3[l] - p = g.nC3_ - l - 1; // order of polynomial in eps - mult *= eps; - c[l] = mult * m.polyval(p, this._C3x, o, eps); - o += p + 1; - } - }; - - g.Geodesic.prototype.C4f = function(eps, c) { - // Evaluate C4 coeffs - // Elements c[0] thru c[g.nC4_ - 1] are set - var mult = 1, - o = 0, - l, p; - for (l = 0; l < g.nC4_; ++l) { // l is index of C4[l] - p = g.nC4_ - l - 1; // order of polynomial in eps - c[l] = mult * m.polyval(p, this._C4x, o, eps); - o += p + 1; - mult *= eps; - } - }; - - // return s12b, m12b, m0, M12, M21 - g.Geodesic.prototype.Lengths = function(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, outmask, - C1a, C2a) { - // Return m12b = (reduced length)/_b; also calculate s12b = - // distance/_b, and m0 = coefficient of secular term in - // expression for reduced length. - outmask &= g.OUT_MASK; - var vals = {}, - m0x = 0, J12 = 0, A1 = 0, A2 = 0, - B1, B2, l, csig12, t; - if (outmask & (g.DISTANCE | g.REDUCEDLENGTH | g.GEODESICSCALE)) { - A1 = g.A1m1f(eps); - g.C1f(eps, C1a); - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - A2 = g.A2m1f(eps); - g.C2f(eps, C2a); - m0x = A1 - A2; - A2 = 1 + A2; - } - A1 = 1 + A1; - } - if (outmask & g.DISTANCE) { - B1 = g.SinCosSeries(true, ssig2, csig2, C1a) - - g.SinCosSeries(true, ssig1, csig1, C1a); - // Missing a factor of _b - vals.s12b = A1 * (sig12 + B1); - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - B2 = g.SinCosSeries(true, ssig2, csig2, C2a) - - g.SinCosSeries(true, ssig1, csig1, C2a); - J12 = m0x * sig12 + (A1 * B1 - A2 * B2); - } - } else if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - // Assume here that nC1_ >= nC2_ - for (l = 1; l <= g.nC2_; ++l) - C2a[l] = A1 * C1a[l] - A2 * C2a[l]; - J12 = m0x * sig12 + (g.SinCosSeries(true, ssig2, csig2, C2a) - - g.SinCosSeries(true, ssig1, csig1, C2a)); - } - if (outmask & g.REDUCEDLENGTH) { - vals.m0 = m0x; - // Missing a factor of _b. - // Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - vals.m12b = dn2 * (csig1 * ssig2) - dn1 * (ssig1 * csig2) - - csig1 * csig2 * J12; - } - if (outmask & g.GEODESICSCALE) { - csig12 = csig1 * csig2 + ssig1 * ssig2; - t = this._ep2 * (cbet1 - cbet2) * (cbet1 + cbet2) / (dn1 + dn2); - vals.M12 = csig12 + (t * ssig2 - csig2 * J12) * ssig1 / dn1; - vals.M21 = csig12 - (t * ssig1 - csig1 * J12) * ssig2 / dn2; - } - return vals; - }; - - // return sig12, salp1, calp1, salp2, calp2, dnm - g.Geodesic.prototype.InverseStart = function(sbet1, cbet1, dn1, - sbet2, cbet2, dn2, - lam12, slam12, clam12, - C1a, C2a) { - // Return a starting point for Newton's method in salp1 and calp1 - // (function value is -1). If Newton's method doesn't need to be - // used, return also salp2 and calp2 and function value is sig12. - // salp2, calp2 only updated if return val >= 0. - var vals = {}, - // bet12 = bet2 - bet1 in [0, pi); bet12a = bet2 + bet1 in (-pi, 0] - sbet12 = sbet2 * cbet1 - cbet2 * sbet1, - cbet12 = cbet2 * cbet1 + sbet2 * sbet1, - sbet12a, shortline, omg12, sbetm2, somg12, comg12, t, ssig12, csig12, - x, y, lamscale, betscale, k2, eps, cbet12a, bet12a, m12b, m0, nvals, - k, omg12a, lam12x; - vals.sig12 = -1; // Return value - // Volatile declaration needed to fix inverse cases - // 88.202499451857 0 -88.202499451857 179.981022032992859592 - // 89.262080389218 0 -89.262080389218 179.992207982775375662 - // 89.333123580033 0 -89.333123580032997687 179.99295812360148422 - // which otherwise fail with g++ 4.4.4 x86 -O3 - sbet12a = sbet2 * cbet1; - sbet12a += cbet2 * sbet1; - - shortline = cbet12 >= 0 && sbet12 < 0.5 && cbet2 * lam12 < 0.5; - if (shortline) { - sbetm2 = m.sq(sbet1 + sbet2); - // sin((bet1+bet2)/2)^2 - // = (sbet1 + sbet2)^2 / ((sbet1 + sbet2)^2 + (cbet1 + cbet2)^2) - sbetm2 /= sbetm2 + m.sq(cbet1 + cbet2); - vals.dnm = Math.sqrt(1 + this._ep2 * sbetm2); - omg12 = lam12 / (this._f1 * vals.dnm); - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } else { - somg12 = slam12; comg12 = clam12; - } - - vals.salp1 = cbet2 * somg12; - vals.calp1 = comg12 >= 0 ? - sbet12 + cbet2 * sbet1 * m.sq(somg12) / (1 + comg12) : - sbet12a - cbet2 * sbet1 * m.sq(somg12) / (1 - comg12); - - ssig12 = m.hypot(vals.salp1, vals.calp1); - csig12 = sbet1 * sbet2 + cbet1 * cbet2 * comg12; - if (shortline && ssig12 < this._etol2) { - // really short lines - vals.salp2 = cbet1 * somg12; - vals.calp2 = sbet12 - cbet1 * sbet2 * - (comg12 >= 0 ? m.sq(somg12) / (1 + comg12) : 1 - comg12); - // norm(vals.salp2, vals.calp2); - t = m.hypot(vals.salp2, vals.calp2); vals.salp2 /= t; vals.calp2 /= t; - // Set return value - vals.sig12 = Math.atan2(ssig12, csig12); - } else if (Math.abs(this._n) > 0.1 || // Skip astroid calc if too eccentric - csig12 >= 0 || - ssig12 >= 6 * Math.abs(this._n) * Math.PI * m.sq(cbet1)) { - // Nothing to do, zeroth order spherical approximation is OK - } else { - // Scale lam12 and bet2 to x, y coordinate system where antipodal - // point is at origin and singular point is at y = 0, x = -1. - lam12x = Math.atan2(-slam12, -clam12); // lam12 - pi - if (this.f >= 0) { // In fact f == 0 does not get here - // x = dlong, y = dlat - k2 = m.sq(sbet1) * this._ep2; - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - lamscale = this.f * cbet1 * this.A3f(eps) * Math.PI; - betscale = lamscale * cbet1; - - x = lam12x / lamscale; - y = sbet12a / betscale; - } else { // f < 0 - // x = dlat, y = dlong - cbet12a = cbet2 * cbet1 - sbet2 * sbet1; - bet12a = Math.atan2(sbet12a, cbet12a); - // In the case of lon12 = 180, this repeats a calculation made - // in Inverse. - nvals = this.Lengths(this._n, Math.PI + bet12a, - sbet1, -cbet1, dn1, sbet2, cbet2, dn2, - cbet1, cbet2, g.REDUCEDLENGTH, C1a, C2a); - m12b = nvals.m12b; m0 = nvals.m0; - x = -1 + m12b / (cbet1 * cbet2 * m0 * Math.PI); - betscale = x < -0.01 ? sbet12a / x : - -this.f * m.sq(cbet1) * Math.PI; - lamscale = betscale / cbet1; - y = lam12 / lamscale; - } - - if (y > -tol1_ && x > -1 - xthresh_) { - // strip near cut - if (this.f >= 0) { - vals.salp1 = Math.min(1, -x); - vals.calp1 = -Math.sqrt(1 - m.sq(vals.salp1)); - } else { - vals.calp1 = Math.max(x > -tol1_ ? 0 : -1, x); - vals.salp1 = Math.sqrt(1 - m.sq(vals.calp1)); - } - } else { - // Estimate alp1, by solving the astroid problem. - // - // Could estimate alpha1 = theta + pi/2, directly, i.e., - // calp1 = y/k; salp1 = -x/(1+k); for f >= 0 - // calp1 = x/(1+k); salp1 = -y/k; for f < 0 (need to check) - // - // However, it's better to estimate omg12 from astroid and use - // spherical formula to compute alp1. This reduces the mean number of - // Newton iterations for astroid cases from 2.24 (min 0, max 6) to 2.12 - // (min 0 max 5). The changes in the number of iterations are as - // follows: - // - // change percent - // 1 5 - // 0 78 - // -1 16 - // -2 0.6 - // -3 0.04 - // -4 0.002 - // - // The histogram of iterations is (m = number of iterations estimating - // alp1 directly, n = number of iterations estimating via omg12, total - // number of trials = 148605): - // - // iter m n - // 0 148 186 - // 1 13046 13845 - // 2 93315 102225 - // 3 36189 32341 - // 4 5396 7 - // 5 455 1 - // 6 56 0 - // - // Because omg12 is near pi, estimate work with omg12a = pi - omg12 - k = astroid(x, y); - omg12a = lamscale * ( this.f >= 0 ? -x * k/(1 + k) : -y * (1 + k)/k ); - somg12 = Math.sin(omg12a); comg12 = -Math.cos(omg12a); - // Update spherical estimate of alp1 using omg12 instead of - // lam12 - vals.salp1 = cbet2 * somg12; - vals.calp1 = sbet12a - - cbet2 * sbet1 * m.sq(somg12) / (1 - comg12); - } - } - // Sanity check on starting guess. Backwards check allows NaN through. - if (!(vals.salp1 <= 0.0)) { - // norm(vals.salp1, vals.calp1); - t = m.hypot(vals.salp1, vals.calp1); vals.salp1 /= t; vals.calp1 /= t; - } else { - vals.salp1 = 1; vals.calp1 = 0; - } - return vals; - }; - - // return lam12, salp2, calp2, sig12, ssig1, csig1, ssig2, csig2, eps, - // domg12, dlam12, - g.Geodesic.prototype.Lambda12 = function(sbet1, cbet1, dn1, - sbet2, cbet2, dn2, - salp1, calp1, slam120, clam120, - diffp, C1a, C2a, C3a) { - var vals = {}, - t, salp0, calp0, - somg1, comg1, somg2, comg2, somg12, comg12, B312, eta, k2, nvals; - if (sbet1 === 0 && calp1 === 0) - // Break degeneracy of equatorial line. This case has already been - // handled. - calp1 = -g.tiny_; - - // sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1; - calp0 = m.hypot(calp1, salp1 * sbet1); // calp0 > 0 - - // tan(bet1) = tan(sig1) * cos(alp1) - // tan(omg1) = sin(alp0) * tan(sig1) = tan(omg1)=tan(alp1)*sin(bet1) - vals.ssig1 = sbet1; somg1 = salp0 * sbet1; - vals.csig1 = comg1 = calp1 * cbet1; - // norm(vals.ssig1, vals.csig1); - t = m.hypot(vals.ssig1, vals.csig1); vals.ssig1 /= t; vals.csig1 /= t; - // norm(somg1, comg1); -- don't need to normalize! - - // Enforce symmetries in the case abs(bet2) = -bet1. Need to be careful - // about this case, since this can yield singularities in the Newton - // iteration. - // sin(alp2) * cos(bet2) = sin(alp0) - vals.salp2 = cbet2 !== cbet1 ? salp0 / cbet2 : salp1; - // calp2 = sqrt(1 - sq(salp2)) - // = sqrt(sq(calp0) - sq(sbet2)) / cbet2 - // and subst for calp0 and rearrange to give (choose positive sqrt - // to give alp2 in [0, pi/2]). - vals.calp2 = cbet2 !== cbet1 || Math.abs(sbet2) !== -sbet1 ? - Math.sqrt(m.sq(calp1 * cbet1) + (cbet1 < -sbet1 ? - (cbet2 - cbet1) * (cbet1 + cbet2) : - (sbet1 - sbet2) * (sbet1 + sbet2))) / - cbet2 : Math.abs(calp1); - // tan(bet2) = tan(sig2) * cos(alp2) - // tan(omg2) = sin(alp0) * tan(sig2). - vals.ssig2 = sbet2; somg2 = salp0 * sbet2; - vals.csig2 = comg2 = vals.calp2 * cbet2; - // norm(vals.ssig2, vals.csig2); - t = m.hypot(vals.ssig2, vals.csig2); vals.ssig2 /= t; vals.csig2 /= t; - // norm(somg2, comg2); -- don't need to normalize! - - // sig12 = sig2 - sig1, limit to [0, pi] - vals.sig12 = Math.atan2(Math.max(0, vals.csig1 * vals.ssig2 - - vals.ssig1 * vals.csig2), - vals.csig1 * vals.csig2 + - vals.ssig1 * vals.ssig2); - - // omg12 = omg2 - omg1, limit to [0, pi] - somg12 = Math.max(0, comg1 * somg2 - somg1 * comg2); - comg12 = comg1 * comg2 + somg1 * somg2; - // eta = omg12 - lam120 - eta = Math.atan2(somg12 * clam120 - comg12 * slam120, - comg12 * clam120 + somg12 * slam120); - k2 = m.sq(calp0) * this._ep2; - vals.eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - this.C3f(vals.eps, C3a); - B312 = (g.SinCosSeries(true, vals.ssig2, vals.csig2, C3a) - - g.SinCosSeries(true, vals.ssig1, vals.csig1, C3a)); - vals.domg12 = -this.f * this.A3f(vals.eps) * salp0 * (vals.sig12 + B312); - vals.lam12 = eta + vals.domg12; - if (diffp) { - if (vals.calp2 === 0) - vals.dlam12 = -2 * this._f1 * dn1 / sbet1; - else { - nvals = this.Lengths(vals.eps, vals.sig12, - vals.ssig1, vals.csig1, dn1, - vals.ssig2, vals.csig2, dn2, - cbet1, cbet2, g.REDUCEDLENGTH, C1a, C2a); - vals.dlam12 = nvals.m12b; - vals.dlam12 *= this._f1 / (vals.calp2 * cbet2); - } - } - return vals; - }; - - /** - * @summary Solve the inverse geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} lat2 the latitude of the second point in degrees. - * @param {number} lon2 the longitude of the second point in degrees. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results - * @description The lat1, lon1, lat2, lon2, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Inverse = function(lat1, lon1, lat2, lon2, outmask) { - var r, vals; - if (!outmask) outmask = g.STANDARD; - if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - outmask &= g.OUT_MASK; - r = this.InverseInt(lat1, lon1, lat2, lon2, outmask); - vals = r.vals; - if (outmask & g.AZIMUTH) { - vals.azi1 = m.atan2d(r.salp1, r.calp1); - vals.azi2 = m.atan2d(r.salp2, r.calp2); - } - return vals; - }; - - g.Geodesic.prototype.InverseInt = function(lat1, lon1, lat2, lon2, outmask) { - var vals = {}, - lon12, lon12s, lonsign, t, swapp, latsign, - sbet1, cbet1, sbet2, cbet2, s12x, m12x, - dn1, dn2, lam12, slam12, clam12, - sig12, calp1, salp1, calp2, salp2, C1a, C2a, C3a, meridian, nvals, - ssig1, csig1, ssig2, csig2, eps, omg12, dnm, - numit, salp1a, calp1a, salp1b, calp1b, - tripn, tripb, v, dv, dalp1, sdalp1, cdalp1, nsalp1, - lengthmask, salp0, calp0, alp12, k2, A4, C4a, B41, B42, - somg12, comg12, domg12, dbet1, dbet2, salp12, calp12, sdomg12, cdomg12; - // Compute longitude difference (AngDiff does this carefully). Result is - // in [-180, 180] but -180 is only for west-going geodesics. 180 is for - // east-going and meridional geodesics. - vals.lat1 = lat1 = m.LatFix(lat1); vals.lat2 = lat2 = m.LatFix(lat2); - // If really close to the equator, treat as on equator. - lat1 = m.AngRound(lat1); - lat2 = m.AngRound(lat2); - lon12 = m.AngDiff(lon1, lon2); lon12s = lon12.t; lon12 = lon12.s; - if (outmask & g.LONG_UNROLL) { - vals.lon1 = lon1; vals.lon2 = (lon1 + lon12) + lon12s; - } else { - vals.lon1 = m.AngNormalize(lon1); vals.lon2 = m.AngNormalize(lon2); - } - // Make longitude difference positive. - lonsign = lon12 >= 0 ? 1 : -1; - // If very close to being on the same half-meridian, then make it so. - lon12 = lonsign * m.AngRound(lon12); - lon12s = m.AngRound((180 - lon12) - lonsign * lon12s); - lam12 = lon12 * m.degree; - t = m.sincosd(lon12 > 90 ? lon12s : lon12); - slam12 = t.s; clam12 = (lon12 > 90 ? -1 : 1) * t.c; - - // Swap points so that point with higher (abs) latitude is point 1 - // If one latitude is a nan, then it becomes lat1. - swapp = Math.abs(lat1) < Math.abs(lat2) ? -1 : 1; - if (swapp < 0) { - lonsign *= -1; - t = lat1; - lat1 = lat2; - lat2 = t; - // swap(lat1, lat2); - } - // Make lat1 <= 0 - latsign = lat1 < 0 ? 1 : -1; - lat1 *= latsign; - lat2 *= latsign; - // Now we have - // - // 0 <= lon12 <= 180 - // -90 <= lat1 <= 0 - // lat1 <= lat2 <= -lat1 - // - // longsign, swapp, latsign register the transformation to bring the - // coordinates to this canonical form. In all cases, 1 means no change was - // made. We make these transformations so that there are few cases to - // check, e.g., on verifying quadrants in atan2. In addition, this - // enforces some symmetries in the results returned. - - t = m.sincosd(lat1); sbet1 = this._f1 * t.s; cbet1 = t.c; - // norm(sbet1, cbet1); - t = m.hypot(sbet1, cbet1); sbet1 /= t; cbet1 /= t; - // Ensure cbet1 = +epsilon at poles - cbet1 = Math.max(g.tiny_, cbet1); - - t = m.sincosd(lat2); sbet2 = this._f1 * t.s; cbet2 = t.c; - // norm(sbet2, cbet2); - t = m.hypot(sbet2, cbet2); sbet2 /= t; cbet2 /= t; - // Ensure cbet2 = +epsilon at poles - cbet2 = Math.max(g.tiny_, cbet2); - - // If cbet1 < -sbet1, then cbet2 - cbet1 is a sensitive measure of the - // |bet1| - |bet2|. Alternatively (cbet1 >= -sbet1), abs(sbet2) + sbet1 is - // a better measure. This logic is used in assigning calp2 in Lambda12. - // Sometimes these quantities vanish and in that case we force bet2 = +/- - // bet1 exactly. An example where is is necessary is the inverse problem - // 48.522876735459 0 -48.52287673545898293 179.599720456223079643 - // which failed with Visual Studio 10 (Release and Debug) - - if (cbet1 < -sbet1) { - if (cbet2 === cbet1) - sbet2 = sbet2 < 0 ? sbet1 : -sbet1; - } else { - if (Math.abs(sbet2) === -sbet1) - cbet2 = cbet1; - } - - dn1 = Math.sqrt(1 + this._ep2 * m.sq(sbet1)); - dn2 = Math.sqrt(1 + this._ep2 * m.sq(sbet2)); - - // index zero elements of these arrays are unused - C1a = new Array(g.nC1_ + 1); - C2a = new Array(g.nC2_ + 1); - C3a = new Array(g.nC3_); - - meridian = lat1 === -90 || slam12 === 0; - if (meridian) { - - // Endpoints are on a single full meridian, so the geodesic might - // lie on a meridian. - - calp1 = clam12; salp1 = slam12; // Head to the target longitude - calp2 = 1; salp2 = 0; // At the target we're heading north - - // tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - - // sig12 = sig2 - sig1 - sig12 = Math.atan2(Math.max(0, csig1 * ssig2 - ssig1 * csig2), - csig1 * csig2 + ssig1 * ssig2); - nvals = this.Lengths(this._n, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, cbet1, cbet2, - outmask | g.DISTANCE | g.REDUCEDLENGTH, - C1a, C2a); - s12x = nvals.s12b; - m12x = nvals.m12b; - // Ignore m0 - if (outmask & g.GEODESICSCALE) { - vals.M12 = nvals.M12; - vals.M21 = nvals.M21; - } - // Add the check for sig12 since zero length geodesics might yield - // m12 < 0. Test case was - // - // echo 20.001 0 20.001 0 | GeodSolve -i - // - // In fact, we will have sig12 > pi/2 for meridional geodesic - // which is not a shortest path. - if (sig12 < 1 || m12x >= 0) { - // Need at least 2, to handle 90 0 90 180 - if (sig12 < 3 * g.tiny_) - sig12 = m12x = s12x = 0; - m12x *= this._b; - s12x *= this._b; - vals.a12 = sig12 / m.degree; - } else - // m12 < 0, i.e., prolate and too close to anti-podal - meridian = false; - } - - somg12 = 2; - if (!meridian && - sbet1 === 0 && // and sbet2 == 0 - (this.f <= 0 || lon12s >= this.f * 180)) { - - // Geodesic runs along equator - calp1 = calp2 = 0; salp1 = salp2 = 1; - s12x = this.a * lam12; - sig12 = omg12 = lam12 / this._f1; - m12x = this._b * Math.sin(sig12); - if (outmask & g.GEODESICSCALE) - vals.M12 = vals.M21 = Math.cos(sig12); - vals.a12 = lon12 / this._f1; - - } else if (!meridian) { - - // Now point1 and point2 belong within a hemisphere bounded by a - // meridian and geodesic is neither meridional or equatorial. - - // Figure a starting point for Newton's method - nvals = this.InverseStart(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - lam12, slam12, clam12, C1a, C2a); - sig12 = nvals.sig12; - salp1 = nvals.salp1; - calp1 = nvals.calp1; - - if (sig12 >= 0) { - salp2 = nvals.salp2; - calp2 = nvals.calp2; - // Short lines (InverseStart sets salp2, calp2, dnm) - - dnm = nvals.dnm; - s12x = sig12 * this._b * dnm; - m12x = m.sq(dnm) * this._b * Math.sin(sig12 / dnm); - if (outmask & g.GEODESICSCALE) - vals.M12 = vals.M21 = Math.cos(sig12 / dnm); - vals.a12 = sig12 / m.degree; - omg12 = lam12 / (this._f1 * dnm); - } else { - - // Newton's method. This is a straightforward solution of f(alp1) = - // lambda12(alp1) - lam12 = 0 with one wrinkle. f(alp) has exactly one - // root in the interval (0, pi) and its derivative is positive at the - // root. Thus f(alp) is positive for alp > alp1 and negative for alp < - // alp1. During the course of the iteration, a range (alp1a, alp1b) is - // maintained which brackets the root and with each evaluation of - // f(alp) the range is shrunk if possible. Newton's method is - // restarted whenever the derivative of f is negative (because the new - // value of alp1 is then further from the solution) or if the new - // estimate of alp1 lies outside (0,pi); in this case, the new starting - // guess is taken to be (alp1a + alp1b) / 2. - numit = 0; - // Bracketing range - salp1a = g.tiny_; calp1a = 1; salp1b = g.tiny_; calp1b = -1; - for (tripn = false, tripb = false; numit < maxit2_; ++numit) { - // the WGS84 test set: mean = 1.47, sd = 1.25, max = 16 - // WGS84 and random input: mean = 2.85, sd = 0.60 - nvals = this.Lambda12(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - salp1, calp1, slam12, clam12, numit < maxit1_, - C1a, C2a, C3a); - v = nvals.lam12; - salp2 = nvals.salp2; - calp2 = nvals.calp2; - sig12 = nvals.sig12; - ssig1 = nvals.ssig1; - csig1 = nvals.csig1; - ssig2 = nvals.ssig2; - csig2 = nvals.csig2; - eps = nvals.eps; - domg12 = nvals.domg12; - dv = nvals.dlam12; - - // 2 * tol0 is approximately 1 ulp for a number in [0, pi]. - // Reversed test to allow escape with NaNs - if (tripb || !(Math.abs(v) >= (tripn ? 8 : 1) * tol0_)) - break; - // Update bracketing values - if (v > 0 && (numit < maxit1_ || calp1/salp1 > calp1b/salp1b)) { - salp1b = salp1; calp1b = calp1; - } else if (v < 0 && - (numit < maxit1_ || calp1/salp1 < calp1a/salp1a)) { - salp1a = salp1; calp1a = calp1; - } - if (numit < maxit1_ && dv > 0) { - dalp1 = -v/dv; - sdalp1 = Math.sin(dalp1); cdalp1 = Math.cos(dalp1); - nsalp1 = salp1 * cdalp1 + calp1 * sdalp1; - if (nsalp1 > 0 && Math.abs(dalp1) < Math.PI) { - calp1 = calp1 * cdalp1 - salp1 * sdalp1; - salp1 = nsalp1; - // norm(salp1, calp1); - t = m.hypot(salp1, calp1); salp1 /= t; calp1 /= t; - // In some regimes we don't get quadratic convergence because - // slope -> 0. So use convergence conditions based on epsilon - // instead of sqrt(epsilon). - tripn = Math.abs(v) <= 16 * tol0_; - continue; - } - } - // Either dv was not positive or updated value was outside legal - // range. Use the midpoint of the bracket as the next estimate. - // This mechanism is not needed for the WGS84 ellipsoid, but it does - // catch problems with more eccentric ellipsoids. Its efficacy is - // such for the WGS84 test set with the starting guess set to alp1 = - // 90deg: - // the WGS84 test set: mean = 5.21, sd = 3.93, max = 24 - // WGS84 and random input: mean = 4.74, sd = 0.99 - salp1 = (salp1a + salp1b)/2; - calp1 = (calp1a + calp1b)/2; - // norm(salp1, calp1); - t = m.hypot(salp1, calp1); salp1 /= t; calp1 /= t; - tripn = false; - tripb = (Math.abs(salp1a - salp1) + (calp1a - calp1) < tolb_ || - Math.abs(salp1 - salp1b) + (calp1 - calp1b) < tolb_); - } - lengthmask = outmask | - (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE) ? - g.DISTANCE : g.NONE); - nvals = this.Lengths(eps, sig12, - ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, - lengthmask, C1a, C2a); - s12x = nvals.s12b; - m12x = nvals.m12b; - // Ignore m0 - if (outmask & g.GEODESICSCALE) { - vals.M12 = nvals.M12; - vals.M21 = nvals.M21; - } - m12x *= this._b; - s12x *= this._b; - vals.a12 = sig12 / m.degree; - if (outmask & g.AREA) { - // omg12 = lam12 - domg12 - sdomg12 = Math.sin(domg12); cdomg12 = Math.cos(domg12); - somg12 = slam12 * cdomg12 - clam12 * sdomg12; - comg12 = clam12 * cdomg12 + slam12 * sdomg12; - } - } - } - - if (outmask & g.DISTANCE) - vals.s12 = 0 + s12x; // Convert -0 to 0 - - if (outmask & g.REDUCEDLENGTH) - vals.m12 = 0 + m12x; // Convert -0 to 0 - - if (outmask & g.AREA) { - // From Lambda12: sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1; - calp0 = m.hypot(calp1, salp1 * sbet1); // calp0 > 0 - if (calp0 !== 0 && salp0 !== 0) { - // From Lambda12: tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - k2 = m.sq(calp0) * this._ep2; - eps = k2 / (2 * (1 + Math.sqrt(1 + k2)) + k2); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0). - A4 = m.sq(this.a) * calp0 * salp0 * this._e2; - // norm(ssig1, csig1); - t = m.hypot(ssig1, csig1); ssig1 /= t; csig1 /= t; - // norm(ssig2, csig2); - t = m.hypot(ssig2, csig2); ssig2 /= t; csig2 /= t; - C4a = new Array(g.nC4_); - this.C4f(eps, C4a); - B41 = g.SinCosSeries(false, ssig1, csig1, C4a); - B42 = g.SinCosSeries(false, ssig2, csig2, C4a); - vals.S12 = A4 * (B42 - B41); - } else - // Avoid problems with indeterminate sig1, sig2 on equator - vals.S12 = 0; - if (!meridian && somg12 > 1) { - somg12 = Math.sin(omg12); comg12 = Math.cos(omg12); - } - if (!meridian && - comg12 > -0.7071 && // Long difference not too big - sbet2 - sbet1 < 1.75) { // Lat difference not too big - // Use tan(Gamma/2) = tan(omg12/2) - // * (tan(bet1/2)+tan(bet2/2))/(1+tan(bet1/2)*tan(bet2/2)) - // with tan(x/2) = sin(x)/(1+cos(x)) - domg12 = 1 + comg12; dbet1 = 1 + cbet1; dbet2 = 1 + cbet2; - alp12 = 2 * Math.atan2( somg12 * (sbet1*dbet2 + sbet2*dbet1), - domg12 * (sbet1*sbet2 + dbet1*dbet2) ); - } else { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * calp1 - calp2 * salp1; - calp12 = calp2 * calp1 + salp2 * salp1; - // The right thing appears to happen if alp1 = +/-180 and alp2 = 0, viz - // salp12 = -0 and alp12 = -180. However this depends on the sign - // being attached to 0 correctly. The following ensures the correct - // behavior. - if (salp12 === 0 && calp12 < 0) { - salp12 = g.tiny_ * calp1; - calp12 = -1; - } - alp12 = Math.atan2(salp12, calp12); - } - vals.S12 += this._c2 * alp12; - vals.S12 *= swapp * lonsign * latsign; - // Convert -0 to 0 - vals.S12 += 0; - } - - // Convert calp, salp to azimuth accounting for lonsign, swapp, latsign. - if (swapp < 0) { - t = salp1; - salp1 = salp2; - salp2 = t; - // swap(salp1, salp2); - t = calp1; - calp1 = calp2; - calp2 = t; - // swap(calp1, calp2); - if (outmask & g.GEODESICSCALE) { - t = vals.M12; - vals.M12 = vals.M21; - vals.M21 = t; - // swap(vals.M12, vals.M21); - } - } - - salp1 *= swapp * lonsign; calp1 *= swapp * latsign; - salp2 *= swapp * lonsign; calp2 *= swapp * latsign; - - return {vals: vals, - salp1: salp1, calp1: calp1, - salp2: salp2, calp2: calp2}; - }; - - /** - * @summary Solve the general direct geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {bool} arcmode is the next parameter an arc length? - * @param {number} s12_a12 the (arcmode ? arc length : distance) from the - * first point to the second in (arcmode ? degrees : meters). - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are always - * set; s12 is included if arcmode is false. For details on the outmask - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.GenDirect = function(lat1, lon1, azi1, - arcmode, s12_a12, outmask) { - var line; - if (!outmask) outmask = g.STANDARD; - else if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) outmask |= g.DISTANCE_IN; - line = new l.GeodesicLine(this, lat1, lon1, azi1, outmask); - return line.GenPosition(arcmode, s12_a12, outmask); - }; - - /** - * @summary Solve the direct geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {number} s12 the distance from the first point to the second in - * meters. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, s12, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Direct = function(lat1, lon1, azi1, s12, outmask) { - return this.GenDirect(lat1, lon1, azi1, false, s12, outmask); - }; - - /** - * @summary Solve the direct geodesic problem with arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {number} a12 the arc length from the first point to the second in - * degrees. - * @param {bitmask} [outmask = STANDARD] which results to include. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.ArcDirect = function(lat1, lon1, azi1, a12, outmask) { - return this.GenDirect(lat1, lon1, azi1, true, a12, outmask); - }; - - /** - * @summary Create a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description For details on the caps parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - g.Geodesic.prototype.Line = function(lat1, lon1, azi1, caps) { - return new l.GeodesicLine(this, lat1, lon1, azi1, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of distance. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {number} s12 the distance between point 1 and point 2 (meters); it - * can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.DirectLine = function(lat1, lon1, azi1, s12, caps) { - return this.GenDirectLine(lat1, lon1, azi1, false, s12, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {number} a12 the arc length between point 1 and point 2 (degrees); - * it can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.ArcDirectLine = function(lat1, lon1, azi1, a12, caps) { - return this.GenDirectLine(lat1, lon1, azi1, true, a12, caps); - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the direct geodesic problem specified in terms - * of either distance or arc length. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * degrees. - * @param {bool} arcmode boolean flag determining the meaning of the - * s12_a12. - * @param {number} s12_a12 if arcmode is false, this is the distance between - * point 1 and point 2 (meters); otherwise it is the arc length between - * point 1 and point 2 (degrees); it can be negative. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the direct geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.GenDirectLine = function(lat1, lon1, azi1, - arcmode, s12_a12, caps) { - var t; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - // Automatically supply DISTANCE_IN if necessary - if (!arcmode) caps |= g.DISTANCE_IN; - t = new l.GeodesicLine(this, lat1, lon1, azi1, caps); - t.GenSetDistance(arcmode, s12_a12); - return t; - }; - - /** - * @summary Define a {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} in terms of the inverse geodesic problem. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} lat2 the latitude of the second point in degrees. - * @param {number} lon2 the longitude of the second point in degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include. - * @returns {object} the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine - * GeodesicLine} object - * @description This function sets point 3 of the GeodesicLine to correspond - * to point 2 of the inverse geodesic problem. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - g.Geodesic.prototype.InverseLine = function(lat1, lon1, lat2, lon2, caps) { - var r, t, azi1; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - r = this.InverseInt(lat1, lon1, lat2, lon2, g.ARC); - azi1 = m.atan2d(r.salp1, r.calp1); - // Ensure that a12 can be converted to a distance - if (caps & (g.OUT_MASK & g.DISTANCE_IN)) caps |= g.DISTANCE; - t = new l.GeodesicLine(this, lat1, lon1, azi1, caps, r.salp1, r.calp1); - t.SetArc(r.vals.a12); - return t; - }; - - /** - * @summary Create a {@link module:GeographicLib/PolygonArea.PolygonArea - * PolygonArea} object. - * @param {bool} [polyline = false] if true the new PolygonArea object - * describes a polyline instead of a polygon. - * @returns {object} the - * {@link module:GeographicLib/PolygonArea.PolygonArea - * PolygonArea} object - */ - g.Geodesic.prototype.Polygon = function(polyline) { - return new p.PolygonArea(this, polyline); - }; - - /** - * @summary a {@link module:GeographicLib/Geodesic.Geodesic Geodesic} object - * initialized for the WGS84 ellipsoid. - * @constant {object} - */ - g.WGS84 = new g.Geodesic(c.WGS84.a, c.WGS84.f); -})(GeographicLib.Geodesic, GeographicLib.GeodesicLine, - GeographicLib.PolygonArea, GeographicLib.Math, GeographicLib.Constants); diff --git a/libs/GeographicLib-1.50.1/js/src/GeodesicLine.js b/libs/GeographicLib-1.50.1/js/src/GeodesicLine.js deleted file mode 100644 index e21330d95e4c3ed42b3ec4dbf375d72ec330ee8b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/src/GeodesicLine.js +++ /dev/null @@ -1,415 +0,0 @@ -/* - * GeodesicLine.js - * Transcription of GeodesicLine.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER GeographicLib/Math.js, GeographicLib/Geodesic.js - -(function( - g, - /** - * @exports GeographicLib/GeodesicLine - * @description Solve geodesic problems on a single geodesic line via the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} - * class. - */ - l, m) { - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @property {number} lat1 the initial latitude (degrees). - * @property {number} lon1 the initial longitude (degrees). - * @property {number} azi1 the initial azimuth (degrees). - * @property {number} salp1 the sine of the azimuth at the first point. - * @property {number} calp1 the cosine the azimuth at the first point. - * @property {number} s13 the distance to point 3 (meters). - * @property {number} a13 the arc length to point 3 (degrees). - * @property {bitmask} caps the capabilities of the object. - * @summary Initialize a GeodesicLine object. For details on the caps - * parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - * @classdesc Performs geodesic calculations along a given geodesic line. - * This object is usually instantiated by - * {@link module:GeographicLib/Geodesic.Geodesic#Line Geodesic.Line}. - * The methods - * {@link module:GeographicLib/Geodesic.Geodesic#DirectLine - * Geodesic.DirectLine} and - * {@link module:GeographicLib/Geodesic.Geodesic#InverseLine - * Geodesic.InverseLine} set in addition the position of a reference point - * 3. - * @param {object} geod a {@link module:GeographicLib/Geodesic.Geodesic - * Geodesic} object. - * @param {number} lat1 the latitude of the first point in degrees. - * @param {number} lon1 the longitude of the first point in degrees. - * @param {number} azi1 the azimuth at the first point in degrees. - * @param {bitmask} [caps = STANDARD | DISTANCE_IN] which capabilities to - * include; LATITUDE | AZIMUTH are always included. - */ - l.GeodesicLine = function(geod, lat1, lon1, azi1, caps, salp1, calp1) { - var t, cbet1, sbet1, eps, s, c; - if (!caps) caps = g.STANDARD | g.DISTANCE_IN; - - this.a = geod.a; - this.f = geod.f; - this._b = geod._b; - this._c2 = geod._c2; - this._f1 = geod._f1; - this.caps = caps | g.LATITUDE | g.AZIMUTH | g.LONG_UNROLL; - - this.lat1 = m.LatFix(lat1); - this.lon1 = lon1; - if (typeof salp1 === 'undefined' || typeof calp1 === 'undefined') { - this.azi1 = m.AngNormalize(azi1); - t = m.sincosd(m.AngRound(this.azi1)); this.salp1 = t.s; this.calp1 = t.c; - } else { - this.azi1 = azi1; this.salp1 = salp1; this.calp1 = calp1; - } - t = m.sincosd(m.AngRound(this.lat1)); sbet1 = this._f1 * t.s; cbet1 = t.c; - // norm(sbet1, cbet1); - t = m.hypot(sbet1, cbet1); sbet1 /= t; cbet1 /= t; - // Ensure cbet1 = +epsilon at poles - cbet1 = Math.max(g.tiny_, cbet1); - this._dn1 = Math.sqrt(1 + geod._ep2 * m.sq(sbet1)); - - // Evaluate alp0 from sin(alp1) * cos(bet1) = sin(alp0), - this._salp0 = this.salp1 * cbet1; // alp0 in [0, pi/2 - |bet1|] - // Alt: calp0 = hypot(sbet1, calp1 * cbet1). The following - // is slightly better (consider the case salp1 = 0). - this._calp0 = m.hypot(this.calp1, this.salp1 * sbet1); - // Evaluate sig with tan(bet1) = tan(sig1) * cos(alp1). - // sig = 0 is nearest northward crossing of equator. - // With bet1 = 0, alp1 = pi/2, we have sig1 = 0 (equatorial line). - // With bet1 = pi/2, alp1 = -pi, sig1 = pi/2 - // With bet1 = -pi/2, alp1 = 0 , sig1 = -pi/2 - // Evaluate omg1 with tan(omg1) = sin(alp0) * tan(sig1). - // With alp0 in (0, pi/2], quadrants for sig and omg coincide. - // No atan2(0,0) ambiguity at poles since cbet1 = +epsilon. - // With alp0 = 0, omg1 = 0 for alp1 = 0, omg1 = pi for alp1 = pi. - this._ssig1 = sbet1; this._somg1 = this._salp0 * sbet1; - this._csig1 = this._comg1 = - sbet1 !== 0 || this.calp1 !== 0 ? cbet1 * this.calp1 : 1; - // norm(this._ssig1, this._csig1); // sig1 in (-pi, pi] - t = m.hypot(this._ssig1, this._csig1); - this._ssig1 /= t; this._csig1 /= t; - // norm(this._somg1, this._comg1); -- don't need to normalize! - - this._k2 = m.sq(this._calp0) * geod._ep2; - eps = this._k2 / (2 * (1 + Math.sqrt(1 + this._k2)) + this._k2); - - if (this.caps & g.CAP_C1) { - this._A1m1 = g.A1m1f(eps); - this._C1a = new Array(g.nC1_ + 1); - g.C1f(eps, this._C1a); - this._B11 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C1a); - s = Math.sin(this._B11); c = Math.cos(this._B11); - // tau1 = sig1 + B11 - this._stau1 = this._ssig1 * c + this._csig1 * s; - this._ctau1 = this._csig1 * c - this._ssig1 * s; - // Not necessary because C1pa reverts C1a - // _B11 = -SinCosSeries(true, _stau1, _ctau1, _C1pa); - } - - if (this.caps & g.CAP_C1p) { - this._C1pa = new Array(g.nC1p_ + 1); - g.C1pf(eps, this._C1pa); - } - - if (this.caps & g.CAP_C2) { - this._A2m1 = g.A2m1f(eps); - this._C2a = new Array(g.nC2_ + 1); - g.C2f(eps, this._C2a); - this._B21 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C2a); - } - - if (this.caps & g.CAP_C3) { - this._C3a = new Array(g.nC3_); - geod.C3f(eps, this._C3a); - this._A3c = -this.f * this._salp0 * geod.A3f(eps); - this._B31 = g.SinCosSeries(true, this._ssig1, this._csig1, this._C3a); - } - - if (this.caps & g.CAP_C4) { - this._C4a = new Array(g.nC4_); // all the elements of _C4a are used - geod.C4f(eps, this._C4a); - // Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0) - this._A4 = m.sq(this.a) * this._calp0 * this._salp0 * geod._e2; - this._B41 = g.SinCosSeries(false, this._ssig1, this._csig1, this._C4a); - } - - this.a13 = this.s13 = Number.NaN; - }; - - /** - * @summary Find the position on the line (general case). - * @param {bool} arcmode is the next parameter an arc length? - * @param {number} s12_a12 the (arcmode ? arc length : distance) from the - * first point to the second in (arcmode ? degrees : meters). - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set; s12 is included if arcmode is false. For details on the - * outmask parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - l.GeodesicLine.prototype.GenPosition = function(arcmode, s12_a12, - outmask) { - var vals = {}, - sig12, ssig12, csig12, B12, AB1, ssig2, csig2, tau12, s, c, serr, - omg12, lam12, lon12, E, sbet2, cbet2, somg2, comg2, salp2, calp2, dn2, - B22, AB2, J12, t, B42, salp12, calp12; - if (!outmask) outmask = g.STANDARD; - else if (outmask === g.LONG_UNROLL) outmask |= g.STANDARD; - outmask &= this.caps & g.OUT_MASK; - vals.lat1 = this.lat1; vals.azi1 = this.azi1; - vals.lon1 = outmask & g.LONG_UNROLL ? - this.lon1 : m.AngNormalize(this.lon1); - if (arcmode) - vals.a12 = s12_a12; - else - vals.s12 = s12_a12; - if (!( arcmode || (this.caps & g.DISTANCE_IN & g.OUT_MASK) )) { - // Uninitialized or impossible distance calculation requested - vals.a12 = Number.NaN; - return vals; - } - - // Avoid warning about uninitialized B12. - B12 = 0; AB1 = 0; - if (arcmode) { - // Interpret s12_a12 as spherical arc length - sig12 = s12_a12 * m.degree; - t = m.sincosd(s12_a12); ssig12 = t.s; csig12 = t.c; - } else { - // Interpret s12_a12 as distance - tau12 = s12_a12 / (this._b * (1 + this._A1m1)); - s = Math.sin(tau12); - c = Math.cos(tau12); - // tau2 = tau1 + tau12 - B12 = -g.SinCosSeries(true, - this._stau1 * c + this._ctau1 * s, - this._ctau1 * c - this._stau1 * s, - this._C1pa); - sig12 = tau12 - (B12 - this._B11); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - if (Math.abs(this.f) > 0.01) { - // Reverted distance series is inaccurate for |f| > 1/100, so correct - // sig12 with 1 Newton iteration. The following table shows the - // approximate maximum error for a = WGS_a() and various f relative to - // GeodesicExact. - // erri = the error in the inverse solution (nm) - // errd = the error in the direct solution (series only) (nm) - // errda = the error in the direct solution - // (series + 1 Newton) (nm) - // - // f erri errd errda - // -1/5 12e6 1.2e9 69e6 - // -1/10 123e3 12e6 765e3 - // -1/20 1110 108e3 7155 - // -1/50 18.63 200.9 27.12 - // -1/100 18.63 23.78 23.37 - // -1/150 18.63 21.05 20.26 - // 1/150 22.35 24.73 25.83 - // 1/100 22.35 25.03 25.31 - // 1/50 29.80 231.9 30.44 - // 1/20 5376 146e3 10e3 - // 1/10 829e3 22e6 1.5e6 - // 1/5 157e6 3.8e9 280e6 - ssig2 = this._ssig1 * csig12 + this._csig1 * ssig12; - csig2 = this._csig1 * csig12 - this._ssig1 * ssig12; - B12 = g.SinCosSeries(true, ssig2, csig2, this._C1a); - serr = (1 + this._A1m1) * (sig12 + (B12 - this._B11)) - - s12_a12 / this._b; - sig12 = sig12 - serr / Math.sqrt(1 + this._k2 * m.sq(ssig2)); - ssig12 = Math.sin(sig12); csig12 = Math.cos(sig12); - // Update B12 below - } - } - - // sig2 = sig1 + sig12 - ssig2 = this._ssig1 * csig12 + this._csig1 * ssig12; - csig2 = this._csig1 * csig12 - this._ssig1 * ssig12; - dn2 = Math.sqrt(1 + this._k2 * m.sq(ssig2)); - if (outmask & (g.DISTANCE | g.REDUCEDLENGTH | g.GEODESICSCALE)) { - if (arcmode || Math.abs(this.f) > 0.01) - B12 = g.SinCosSeries(true, ssig2, csig2, this._C1a); - AB1 = (1 + this._A1m1) * (B12 - this._B11); - } - // sin(bet2) = cos(alp0) * sin(sig2) - sbet2 = this._calp0 * ssig2; - // Alt: cbet2 = hypot(csig2, salp0 * ssig2); - cbet2 = m.hypot(this._salp0, this._calp0 * csig2); - if (cbet2 === 0) - // I.e., salp0 = 0, csig2 = 0. Break the degeneracy in this case - cbet2 = csig2 = g.tiny_; - // tan(alp0) = cos(sig2)*tan(alp2) - salp2 = this._salp0; calp2 = this._calp0 * csig2; // No need to normalize - - if (arcmode && (outmask & g.DISTANCE)) - vals.s12 = this._b * ((1 + this._A1m1) * sig12 + AB1); - - if (outmask & g.LONGITUDE) { - // tan(omg2) = sin(alp0) * tan(sig2) - somg2 = this._salp0 * ssig2; comg2 = csig2; // No need to normalize - E = m.copysign(1, this._salp0); - // omg12 = omg2 - omg1 - omg12 = outmask & g.LONG_UNROLL ? - E * (sig12 - - (Math.atan2(ssig2, csig2) - - Math.atan2(this._ssig1, this._csig1)) + - (Math.atan2(E * somg2, comg2) - - Math.atan2(E * this._somg1, this._comg1))) : - Math.atan2(somg2 * this._comg1 - comg2 * this._somg1, - comg2 * this._comg1 + somg2 * this._somg1); - lam12 = omg12 + this._A3c * - ( sig12 + (g.SinCosSeries(true, ssig2, csig2, this._C3a) - - this._B31)); - lon12 = lam12 / m.degree; - vals.lon2 = outmask & g.LONG_UNROLL ? this.lon1 + lon12 : - m.AngNormalize(m.AngNormalize(this.lon1) + m.AngNormalize(lon12)); - } - - if (outmask & g.LATITUDE) - vals.lat2 = m.atan2d(sbet2, this._f1 * cbet2); - - if (outmask & g.AZIMUTH) - vals.azi2 = m.atan2d(salp2, calp2); - - if (outmask & (g.REDUCEDLENGTH | g.GEODESICSCALE)) { - B22 = g.SinCosSeries(true, ssig2, csig2, this._C2a); - AB2 = (1 + this._A2m1) * (B22 - this._B21); - J12 = (this._A1m1 - this._A2m1) * sig12 + (AB1 - AB2); - if (outmask & g.REDUCEDLENGTH) - // Add parens around (_csig1 * ssig2) and (_ssig1 * csig2) to ensure - // accurate cancellation in the case of coincident points. - vals.m12 = this._b * (( dn2 * (this._csig1 * ssig2) - - this._dn1 * (this._ssig1 * csig2)) - - this._csig1 * csig2 * J12); - if (outmask & g.GEODESICSCALE) { - t = this._k2 * (ssig2 - this._ssig1) * (ssig2 + this._ssig1) / - (this._dn1 + dn2); - vals.M12 = csig12 + - (t * ssig2 - csig2 * J12) * this._ssig1 / this._dn1; - vals.M21 = csig12 - - (t * this._ssig1 - this._csig1 * J12) * ssig2 / dn2; - } - } - - if (outmask & g.AREA) { - B42 = g.SinCosSeries(false, ssig2, csig2, this._C4a); - if (this._calp0 === 0 || this._salp0 === 0) { - // alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * this.calp1 - calp2 * this.salp1; - calp12 = calp2 * this.calp1 + salp2 * this.salp1; - } else { - // tan(alp) = tan(alp0) * sec(sig) - // tan(alp2-alp1) = (tan(alp2) -tan(alp1)) / (tan(alp2)*tan(alp1)+1) - // = calp0 * salp0 * (csig1-csig2) / (salp0^2 + calp0^2 * csig1*csig2) - // If csig12 > 0, write - // csig1 - csig2 = ssig12 * (csig1 * ssig12 / (1 + csig12) + ssig1) - // else - // csig1 - csig2 = csig1 * (1 - csig12) + ssig12 * ssig1 - // No need to normalize - salp12 = this._calp0 * this._salp0 * - (csig12 <= 0 ? this._csig1 * (1 - csig12) + ssig12 * this._ssig1 : - ssig12 * (this._csig1 * ssig12 / (1 + csig12) + this._ssig1)); - calp12 = m.sq(this._salp0) + m.sq(this._calp0) * this._csig1 * csig2; - } - vals.S12 = this._c2 * Math.atan2(salp12, calp12) + - this._A4 * (B42 - this._B41); - } - - if (!arcmode) - vals.a12 = sig12 / m.degree; - return vals; - }; - - /** - * @summary Find the position on the line given s12. - * @param {number} s12 the distance from the first point to the second in - * meters. - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, s12, and a12 fields of the result are - * always set; s12 is included if arcmode is false. For details on the - * outmask parameter, see {@tutorial 2-interface}, "The outmask and caps - * parameters". - */ - l.GeodesicLine.prototype.Position = function(s12, outmask) { - return this.GenPosition(false, s12, outmask); - }; - - /** - * @summary Find the position on the line given a12. - * @param {number} a12 the arc length from the first point to the second in - * degrees. - * @param {bitmask} [outmask = STANDARD] which results to include; this is - * subject to the capabilities of the object. - * @returns {object} the requested results. - * @description The lat1, lon1, azi1, and a12 fields of the result are - * always set. For details on the outmask parameter, see {@tutorial - * 2-interface}, "The outmask and caps parameters". - */ - l.GeodesicLine.prototype.ArcPosition = function(a12, outmask) { - return this.GenPosition(true, a12, outmask); - }; - - /** - * @summary Specify position of point 3 in terms of either distance or arc - * length. - * @param {bool} arcmode boolean flag determining the meaning of the second - * parameter; if arcmode is false, then the GeodesicLine object must have - * been constructed with caps |= DISTANCE_IN. - * @param {number} s13_a13 if arcmode is false, this is the distance from - * point 1 to point 3 (meters); otherwise it is the arc length from - * point 1 to point 3 (degrees); it can be negative. - */ - l.GeodesicLine.prototype.GenSetDistance = function(arcmode, s13_a13) { - if (arcmode) - this.SetArc(s13_a13); - else - this.SetDistance(s13_a13); - }; - - /** - * @summary Specify position of point 3 in terms distance. - * @param {number} s13 the distance from point 1 to point 3 (meters); it - * can be negative. - */ - l.GeodesicLine.prototype.SetDistance = function(s13) { - var r; - this.s13 = s13; - r = this.GenPosition(false, this.s13, g.ARC); - this.a13 = 0 + r.a12; // the 0+ converts undefined into NaN - }; - - /** - * @summary Specify position of point 3 in terms of arc length. - * @param {number} a13 the arc length from point 1 to point 3 (degrees); - * it can be negative. - */ - l.GeodesicLine.prototype.SetArc = function(a13) { - var r; - this.a13 = a13; - r = this.GenPosition(true, this.a13, g.DISTANCE); - this.s13 = 0 + r.s12; // the 0+ converts undefined into NaN - }; - -})(GeographicLib.Geodesic, GeographicLib.GeodesicLine, GeographicLib.Math); diff --git a/libs/GeographicLib-1.50.1/js/src/Math.js b/libs/GeographicLib-1.50.1/js/src/Math.js deleted file mode 100644 index 2d625ed93c01caf6993cdb776db8f8bd77167a6f..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/src/Math.js +++ /dev/null @@ -1,451 +0,0 @@ -/* - * Math.js - * Transcription of Math.hpp, Constants.hpp, and Accumulator.hpp into - * JavaScript. - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -/** - * @namespace GeographicLib - * @description The parent namespace for the following modules: - * - {@link module:GeographicLib/Geodesic GeographicLib/Geodesic} The main - * engine for solving geodesic problems via the - * {@link module:GeographicLib/Geodesic.Geodesic Geodesic} class. - * - {@link module:GeographicLib/GeodesicLine GeographicLib/GeodesicLine} - * computes points along a single geodesic line via the - * {@link module:GeographicLib/GeodesicLine.GeodesicLine GeodesicLine} - * class. - * - {@link module:GeographicLib/PolygonArea GeographicLib/PolygonArea} - * computes the area of a geodesic polygon via the - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} - * class. - * - {@link module:GeographicLib/DMS GeographicLib/DMS} handles the decoding - * and encoding of angles in degree, minutes, and seconds, via static - * functions in this module. - * - {@link module:GeographicLib/Constants GeographicLib/Constants} defines - * constants specifying the version numbers and the parameters for the WGS84 - * ellipsoid. - * - * The following modules are used internally by the package: - * - {@link module:GeographicLib/Math GeographicLib/Math} defines various - * mathematical functions. - * - {@link module:GeographicLib/Accumulator GeographicLib/Accumulator} - * interally used by - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} (via the - * {@link module:GeographicLib/Accumulator.Accumulator Accumulator} class) - * for summing the contributions to the area of a polygon. - */ -"use strict"; -var GeographicLib = {}; -GeographicLib.Constants = {}; -GeographicLib.Math = {}; -GeographicLib.Accumulator = {}; - -(function( - /** - * @exports GeographicLib/Constants - * @description Define constants defining the version and WGS84 parameters. - */ - c) { - - /** - * @constant - * @summary WGS84 parameters. - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - */ - c.WGS84 = { a: 6378137, f: 1/298.257223563 }; - /** - * @constant - * @summary an array of version numbers. - * @property {number} major the major version number. - * @property {number} minor the minor version number. - * @property {number} patch the patch number. - */ - c.version = { major: 1, minor: 50, patch: 0 }; - /** - * @constant - * @summary version string - */ - c.version_string = "1.50"; -})(GeographicLib.Constants); - -(function( - /** - * @exports GeographicLib/Math - * @description Some useful mathematical constants and functions (mainly for - * internal use). - */ - m) { - - /** - * @summary The number of digits of precision in floating-point numbers. - * @constant {number} - */ - m.digits = 53; - /** - * @summary The machine epsilon. - * @constant {number} - */ - m.epsilon = Math.pow(0.5, m.digits - 1); - /** - * @summary The factor to convert degrees to radians. - * @constant {number} - */ - m.degree = Math.PI/180; - - /** - * @summary Square a number. - * @param {number} x the number. - * @returns {number} the square. - */ - m.sq = function(x) { return x * x; }; - - /** - * @summary The hypotenuse function. - * @param {number} x the first side. - * @param {number} y the second side. - * @returns {number} the hypotenuse. - */ - m.hypot = Math.hypot || function(x, y) { - var a, b; - x = Math.abs(x); - y = Math.abs(y); - a = Math.max(x, y); b = Math.min(x, y) / (a ? a : 1); - return a * Math.sqrt(1 + b * b); - }; - - /** - * @summary Cube root function. - * @param {number} x the argument. - * @returns {number} the real cube root. - */ - m.cbrt = Math.cbrt || function(x) { - var y = Math.pow(Math.abs(x), 1/3); - return x > 0 ? y : (x < 0 ? -y : x); - }; - - /** - * @summary The log1p function. - * @param {number} x the argument. - * @returns {number} log(1 + x). - */ - m.log1p = Math.log1p || function(x) { - var y = 1 + x, - z = y - 1; - // Here's the explanation for this magic: y = 1 + z, exactly, and z - // approx x, thus log(y)/z (which is nearly constant near z = 0) returns - // a good approximation to the true log(1 + x)/x. The multiplication x * - // (log(y)/z) introduces little additional error. - return z === 0 ? x : x * Math.log(y) / z; - }; - - /** - * @summary Inverse hyperbolic tangent. - * @param {number} x the argument. - * @returns {number} tanh−1 x. - */ - m.atanh = Math.atanh || function(x) { - var y = Math.abs(x); // Enforce odd parity - y = m.log1p(2 * y/(1 - y))/2; - return x > 0 ? y : (x < 0 ? -y : x); - }; - - /** - * @summary Copy the sign. - * @param {number} x gives the magitude of the result. - * @param {number} y gives the sign of the result. - * @returns {number} value with the magnitude of x and with the sign of y. - */ - m.copysign = function(x, y) { - return Math.abs(x) * (y < 0 || (y === 0 && 1/y < 0) ? -1 : 1); - }; - - /** - * @summary An error-free sum. - * @param {number} u - * @param {number} v - * @returns {object} sum with sum.s = round(u + v) and sum.t is u + v − - * round(u + v) - */ - m.sum = function(u, v) { - var s = u + v, - up = s - v, - vpp = s - up, - t; - up -= u; - vpp -= v; - t = -(up + vpp); - // u + v = s + t - // = round(u + v) + t - return {s: s, t: t}; - }; - - /** - * @summary Evaluate a polynomial. - * @param {integer} N the order of the polynomial. - * @param {array} p the coefficient array (of size N + 1) (leading - * order coefficient first) - * @param {number} x the variable. - * @returns {number} the value of the polynomial. - */ - m.polyval = function(N, p, s, x) { - var y = N < 0 ? 0 : p[s++]; - while (--N >= 0) y = y * x + p[s++]; - return y; - }; - - /** - * @summary Coarsen a value close to zero. - * @param {number} x - * @returns {number} the coarsened value. - */ - m.AngRound = function(x) { - // The makes the smallest gap in x = 1/16 - nextafter(1/16, 0) = 1/2^57 for - // reals = 0.7 pm on the earth if x is an angle in degrees. (This is about - // 1000 times more resolution than we get with angles around 90 degrees.) - // We use this to avoid having to deal with near singular cases when x is - // non-zero but tiny (e.g., 1.0e-200). This converts -0 to +0; however - // tiny negative numbers get converted to -0. - if (x === 0) return x; - var z = 1/16, - y = Math.abs(x); - // The compiler mustn't "simplify" z - (z - y) to y - y = y < z ? z - (z - y) : y; - return x < 0 ? -y : y; - }; - - /** - * @summary The remainder function. - * @param {number} x the numerator of the division - * @param {number} y the denominator of the division - * @return {number} the remainder in the range [−y/2, y/2]. - *

- * The range of x is unrestricted; y must be positive. - */ - m.remainder = function(x, y) { - x = x % y; - return x < -y/2 ? x + y : (x < y/2 ? x : x - y); - }; - - /** - * @summary Normalize an angle. - * @param {number} x the angle in degrees. - * @returns {number} the angle reduced to the range (−180°, - * 180°]. - */ - m.AngNormalize = function(x) { - // Place angle in (-180, 180]. - x = m.remainder(x, 360); - return x == -180 ? 180 : x; - }; - - /** - * @summary Normalize a latitude. - * @param {number} x the angle in degrees. - * @returns {number} x if it is in the range [−90°, 90°], - * otherwise return NaN. - */ - m.LatFix = function(x) { - // Replace angle with NaN if outside [-90, 90]. - return Math.abs(x) > 90 ? Number.NaN : x; - }; - - /** - * @summary The exact difference of two angles reduced to (−180°, - * 180°] - * @param {number} x the first angle in degrees. - * @param {number} y the second angle in degrees. - * @return {object} diff the exact difference, y − x. - * - * This computes z = y − x exactly, reduced to (−180°, - * 180°]; and then sets diff.s = d = round(z) and diff.t = e = z − - * round(z). If d = −180, then e > 0; If d = 180, then e ≤ 0. - */ - m.AngDiff = function(x, y) { - // Compute y - x and reduce to [-180,180] accurately. - var r = m.sum(m.AngNormalize(-x), m.AngNormalize(y)), - d = m.AngNormalize(r.s), - t = r.t; - return m.sum(d === 180 && t > 0 ? -180 : d, t); - }; - - /** - * @summary Evaluate the sine and cosine function with the argument in - * degrees - * @param {number} x in degrees. - * @returns {object} r with r.s = sin(x) and r.c = cos(x). - */ - m.sincosd = function(x) { - // In order to minimize round-off errors, this function exactly reduces - // the argument to the range [-45, 45] before converting it to radians. - var r, q, s, c, sinx, cosx; - r = x % 360; - q = 0 + Math.round(r / 90); // If r is NaN this returns NaN - r -= 90 * q; - // now abs(r) <= 45 - r *= this.degree; - // Possibly could call the gnu extension sincos - s = Math.sin(r); c = Math.cos(r); - switch (q & 3) { - case 0: sinx = s; cosx = c; break; - case 1: sinx = c; cosx = -s; break; - case 2: sinx = -s; cosx = -c; break; - default: sinx = -c; cosx = s; break; // case 3 - } - if (x !== 0) { sinx += 0; cosx += 0; } - return {s: sinx, c: cosx}; - }; - - /** - * @summary Evaluate the atan2 function with the result in degrees - * @param {number} y - * @param {number} x - * @returns atan2(y, x) in degrees, in the range (−180° - * 180°]. - */ - m.atan2d = function(y, x) { - // In order to minimize round-off errors, this function rearranges the - // arguments so that result of atan2 is in the range [-pi/4, pi/4] before - // converting it to degrees and mapping the result to the correct - // quadrant. - var q = 0, t, ang; - if (Math.abs(y) > Math.abs(x)) { t = x; x = y; y = t; q = 2; } - if (x < 0) { x = -x; ++q; } - // here x >= 0 and x >= abs(y), so angle is in [-pi/4, pi/4] - ang = Math.atan2(y, x) / this.degree; - switch (q) { - // Note that atan2d(-0.0, 1.0) will return -0. However, we expect that - // atan2d will not be called with y = -0. If need be, include - // - // case 0: ang = 0 + ang; break; - // - // and handle mpfr as in AngRound. - case 1: ang = (y >= 0 ? 180 : -180) - ang; break; - case 2: ang = 90 - ang; break; - case 3: ang = -90 + ang; break; - } - return ang; - }; -})(GeographicLib.Math); - -(function( - /** - * @exports GeographicLib/Accumulator - * @description Accurate summation via the - * {@link module:GeographicLib/Accumulator.Accumulator Accumulator} class - * (mainly for internal use). - */ - a, m) { - - /** - * @class - * @summary Accurate summation of many numbers. - * @classdesc This allows many numbers to be added together with twice the - * normal precision. In the documentation of the member functions, sum - * stands for the value currently held in the accumulator. - * @param {number | Accumulator} [y = 0] set sum = y. - */ - a.Accumulator = function(y) { - this.Set(y); - }; - - /** - * @summary Set the accumulator to a number. - * @param {number | Accumulator} [y = 0] set sum = y. - */ - a.Accumulator.prototype.Set = function(y) { - if (!y) y = 0; - if (y.constructor === a.Accumulator) { - this._s = y._s; - this._t = y._t; - } else { - this._s = y; - this._t = 0; - } - }; - - /** - * @summary Add a number to the accumulator. - * @param {number} [y = 0] set sum += y. - */ - a.Accumulator.prototype.Add = function(y) { - // Here's Shewchuk's solution... - // Accumulate starting at least significant end - var u = m.sum(y, this._t), - v = m.sum(u.s, this._s); - u = u.t; - this._s = v.s; - this._t = v.t; - // Start is _s, _t decreasing and non-adjacent. Sum is now (s + t + u) - // exactly with s, t, u non-adjacent and in decreasing order (except - // for possible zeros). The following code tries to normalize the - // result. Ideally, we want _s = round(s+t+u) and _u = round(s+t+u - - // _s). The follow does an approximate job (and maintains the - // decreasing non-adjacent property). Here are two "failures" using - // 3-bit floats: - // - // Case 1: _s is not equal to round(s+t+u) -- off by 1 ulp - // [12, -1] - 8 -> [4, 0, -1] -> [4, -1] = 3 should be [3, 0] = 3 - // - // Case 2: _s+_t is not as close to s+t+u as it shold be - // [64, 5] + 4 -> [64, 8, 1] -> [64, 8] = 72 (off by 1) - // should be [80, -7] = 73 (exact) - // - // "Fixing" these problems is probably not worth the expense. The - // representation inevitably leads to small errors in the accumulated - // values. The additional errors illustrated here amount to 1 ulp of - // the less significant word during each addition to the Accumulator - // and an additional possible error of 1 ulp in the reported sum. - // - // Incidentally, the "ideal" representation described above is not - // canonical, because _s = round(_s + _t) may not be true. For - // example, with 3-bit floats: - // - // [128, 16] + 1 -> [160, -16] -- 160 = round(145). - // But [160, 0] - 16 -> [128, 16] -- 128 = round(144). - // - if (this._s === 0) // This implies t == 0, - this._s = u; // so result is u - else - this._t += u; // otherwise just accumulate u to t. - }; - - /** - * @summary Return the result of adding a number to sum (but - * don't change sum). - * @param {number} [y = 0] the number to be added to the sum. - * @return sum + y. - */ - a.Accumulator.prototype.Sum = function(y) { - var b; - if (!y) - return this._s; - else { - b = new a.Accumulator(this); - b.Add(y); - return b._s; - } - }; - - /** - * @summary Set sum = −sum. - */ - a.Accumulator.prototype.Negate = function() { - this._s *= -1; - this._t *= -1; - }; - - /** - * @summary Take the remainder - * @param {number} y the divisor of the remainder operation. - * @return sum in range [−y/2, y/2]. - */ - a.Accumulator.prototype.Remainder = function(y) { - this._s = m.remainder(this._s, y); - this.Add(0); - }; -})(GeographicLib.Accumulator, GeographicLib.Math); diff --git a/libs/GeographicLib-1.50.1/js/src/PolygonArea.js b/libs/GeographicLib-1.50.1/js/src/PolygonArea.js deleted file mode 100644 index 9f9dbdff50d0dcde71db07947146da4495fb7e7d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/src/PolygonArea.js +++ /dev/null @@ -1,321 +0,0 @@ -/* - * PolygonArea.js - * Transcription of PolygonArea.[ch]pp into JavaScript. - * - * See the documentation for the C++ class. The conversion is a literal - * conversion from C++. - * - * The algorithms are derived in - * - * Charles F. F. Karney, - * Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * Copyright (c) Charles Karney (2011-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -// Load AFTER GeographicLib/Math.js and GeographicLib/Geodesic.js - -(function( - /** - * @exports GeographicLib/PolygonArea - * @description Compute the area of geodesic polygons via the - * {@link module:GeographicLib/PolygonArea.PolygonArea PolygonArea} - * class. - */ - p, g, m, a) { - - var transit, transitdirect, AreaReduceA, AreaReduceB; - transit = function(lon1, lon2) { - // Return 1 or -1 if crossing prime meridian in east or west direction. - // Otherwise return zero. - var lon12, cross; - // Compute lon12 the same way as Geodesic::Inverse. - lon1 = m.AngNormalize(lon1); - lon2 = m.AngNormalize(lon2); - lon12 = m.AngDiff(lon1, lon2).s; - cross = lon1 <= 0 && lon2 > 0 && lon12 > 0 ? 1 : - (lon2 <= 0 && lon1 > 0 && lon12 < 0 ? -1 : 0); - return cross; - }; - - // an alternate version of transit to deal with longitudes in the direct - // problem. - transitdirect = function(lon1, lon2) { - // We want to compute exactly - // int(ceil(lon2 / 360)) - int(ceil(lon1 / 360)) - // Since we only need the parity of the result we can use std::remquo but - // this is buggy with g++ 4.8.3 and requires C++11. So instead we do - lon1 = lon1 % 720.0; lon2 = lon2 % 720.0; - return ( ((lon2 <= 0 && lon2 > -360) || lon2 > 360 ? 1 : 0) - - ((lon1 <= 0 && lon1 > -360) || lon1 > 360 ? 1 : 0) ); - }; - - // Reduce Accumulator area - AreaReduceA = function(area, area0, crossings, reverse, sign) { - area.Remainder(area0); - if (crossings & 1) - area.Add( (area.Sum() < 0 ? 1 : -1) * area0/2 ); - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area.Negate(); - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area.Sum() > area0/2) - area.Add( -area0 ); - else if (area.Sum() <= -area0/2) - area.Add( +area0 ); - } else { - if (area.Sum() >= area0) - area.Add( -area0 ); - else if (area.Sum() < 0) - area.Add( +area0 ); - } - return 0 + area.Sum(); - }; - - // Reduce double area - AreaReduceB = function(area, area0, crossings, reverse, sign) { - area = m.remainder(area, area0); - if (crossings & 1) - area += (area < 0 ? 1 : -1) * area0/2; - // area is with the clockwise sense. If !reverse convert to - // counter-clockwise convention. - if (!reverse) - area *= -1; - // If sign put area in (-area0/2, area0/2], else put area in [0, area0) - if (sign) { - if (area > area0/2) - area -= area0; - else if (area <= -area0/2) - area += area0; - } else { - if (area >= area0) - area -= area0; - else if (area < 0) - area += area0; - } - return 0 + area; - }; - - /** - * @class - * @property {number} a the equatorial radius (meters). - * @property {number} f the flattening. - * @property {bool} polyline whether the PolygonArea object describes a - * polyline or a polygon. - * @property {number} num the number of vertices so far. - * @property {number} lat the current latitude (degrees). - * @property {number} lon the current longitude (degrees). - * @summary Initialize a PolygonArea object. - * @classdesc Computes the area and perimeter of a geodesic polygon. - * This object is usually instantiated by - * {@link module:GeographicLib/Geodesic.Geodesic#Polygon Geodesic.Polygon}. - * @param {object} geod a {@link module:GeographicLib/Geodesic.Geodesic - * Geodesic} object. - * @param {bool} [polyline = false] if true the new PolygonArea object - * describes a polyline instead of a polygon. - */ - p.PolygonArea = function(geod, polyline) { - this._geod = geod; - this.a = this._geod.a; - this.f = this._geod.f; - this._area0 = 4 * Math.PI * geod._c2; - this.polyline = !polyline ? false : polyline; - this._mask = g.LATITUDE | g.LONGITUDE | g.DISTANCE | - (this.polyline ? g.NONE : g.AREA | g.LONG_UNROLL); - if (!this.polyline) - this._areasum = new a.Accumulator(0); - this._perimetersum = new a.Accumulator(0); - this.Clear(); - }; - - /** - * @summary Clear the PolygonArea object, setting the number of vertices to - * 0. - */ - p.PolygonArea.prototype.Clear = function() { - this.num = 0; - this._crossings = 0; - if (!this.polyline) - this._areasum.Set(0); - this._perimetersum.Set(0); - this._lat0 = this._lon0 = this.lat = this.lon = Number.NaN; - }; - - /** - * @summary Add the next vertex to the polygon. - * @param {number} lat the latitude of the point (degrees). - * @param {number} lon the longitude of the point (degrees). - * @description This adds an edge from the current vertex to the new vertex. - */ - p.PolygonArea.prototype.AddPoint = function(lat, lon) { - var t; - if (this.num === 0) { - this._lat0 = this.lat = lat; - this._lon0 = this.lon = lon; - } else { - t = this._geod.Inverse(this.lat, this.lon, lat, lon, this._mask); - this._perimetersum.Add(t.s12); - if (!this.polyline) { - this._areasum.Add(t.S12); - this._crossings += transit(this.lon, lon); - } - this.lat = lat; - this.lon = lon; - } - ++this.num; - }; - - /** - * @summary Add the next edge to the polygon. - * @param {number} azi the azimuth at the current the point (degrees). - * @param {number} s the length of the edge (meters). - * @description This specifies the new vertex in terms of the edge from the - * current vertex. - */ - p.PolygonArea.prototype.AddEdge = function(azi, s) { - var t; - if (this.num) { - t = this._geod.Direct(this.lat, this.lon, azi, s, this._mask); - this._perimetersum.Add(s); - if (!this.polyline) { - this._areasum.Add(t.S12); - this._crossings += transitdirect(this.lon, t.lon2); - } - this.lat = t.lat2; - this.lon = t.lon2; - } - ++this.num; - }; - - /** - * @summary Compute the perimeter and area of the polygon. - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description Arbitrarily complex polygons are allowed. In the case of - * self-intersecting polygons the area is accumulated "algebraically", - * e.g., the areas of the 2 loops in a figure-8 polygon will partially - * cancel. If the object is a polygon (and not a polyline), the perimeter - * includes the length of a final edge connecting the current point to the - * initial point. If the object is a polyline, then area is nan. More - * points can be added to the polygon after this call. - */ - p.PolygonArea.prototype.Compute = function(reverse, sign) { - var vals = {number: this.num}, t, tempsum; - if (this.num < 2) { - vals.perimeter = 0; - if (!this.polyline) - vals.area = 0; - return vals; - } - if (this.polyline) { - vals.perimeter = this._perimetersum.Sum(); - return vals; - } - t = this._geod.Inverse(this.lat, this.lon, this._lat0, this._lon0, - this._mask); - vals.perimeter = this._perimetersum.Sum(t.s12); - tempsum = new a.Accumulator(this._areasum); - tempsum.Add(t.S12); - vals.area = AreaReduceA(tempsum, this._area0, - this._crossings + transit(this.lon, this._lon0), - reverse, sign); - return vals; - }; - - /** - * @summary Compute the perimeter and area of the polygon with a tentative - * new vertex. - * @param {number} lat the latitude of the point (degrees). - * @param {number} lon the longitude of the point (degrees). - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description A new vertex is *not* added to the polygon. - */ - p.PolygonArea.prototype.TestPoint = function(lat, lon, reverse, sign) { - var vals = {number: this.num + 1}, t, tempsum, crossings, i; - if (this.num === 0) { - vals.perimeter = 0; - if (!this.polyline) - vals.area = 0; - return vals; - } - vals.perimeter = this._perimetersum.Sum(); - tempsum = this.polyline ? 0 : this._areasum.Sum(); - crossings = this._crossings; - for (i = 0; i < (this.polyline ? 1 : 2); ++i) { - t = this._geod.Inverse( - i === 0 ? this.lat : lat, i === 0 ? this.lon : lon, - i !== 0 ? this._lat0 : lat, i !== 0 ? this._lon0 : lon, - this._mask); - vals.perimeter += t.s12; - if (!this.polyline) { - tempsum += t.S12; - crossings += transit(i === 0 ? this.lon : lon, - i !== 0 ? this._lon0 : lon); - } - } - - if (this.polyline) - return vals; - - vals.area = AreaReduceB(tempsum, this._area0, crossings, reverse, sign); - return vals; - }; - - /** - * @summary Compute the perimeter and area of the polygon with a tentative - * new edge. - * @param {number} azi the azimuth of the edge (degrees). - * @param {number} s the length of the edge (meters). - * @param {bool} reverse if true then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param {bool} sign if true then return a signed result for the area if the - * polygon is traversed in the "wrong" direction instead of returning the - * area for the rest of the earth. - * @returns {object} r where r.number is the number of vertices, r.perimeter - * is the perimeter (meters), and r.area (only returned if polyline is - * false) is the area (meters2). - * @description A new vertex is *not* added to the polygon. - */ - p.PolygonArea.prototype.TestEdge = function(azi, s, reverse, sign) { - var vals = {number: this.num ? this.num + 1 : 0}, t, tempsum, crossings; - if (this.num === 0) - return vals; - vals.perimeter = this._perimetersum.Sum() + s; - if (this.polyline) - return vals; - - tempsum = this._areasum.Sum(); - crossings = this._crossings; - t = this._geod.Direct(this.lat, this.lon, azi, s, this._mask); - tempsum += t.S12; - crossings += transitdirect(this.lon, t.lon2); - crossings += transit(t.lon2, this._lon0); - t = this._geod.Inverse(t.lat2, t.lon2, this._lat0, this._lon0, this._mask); - vals.perimeter += t.s12; - tempsum += t.S12; - - vals.area = AreaReduceB(tempsum, this._area0, crossings, reverse, sign); - return vals; - }; - -})(GeographicLib.PolygonArea, GeographicLib.Geodesic, - GeographicLib.Math, GeographicLib.Accumulator); diff --git a/libs/GeographicLib-1.50.1/js/test/geodesictest.js b/libs/GeographicLib-1.50.1/js/test/geodesictest.js deleted file mode 100644 index 3329e7c1a9f624aa6e6cd885588715ce399d0d25..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/js/test/geodesictest.js +++ /dev/null @@ -1,869 +0,0 @@ -"use strict"; - -var assert = require("assert"), - G = require("../geographiclib"), - g = G.Geodesic, - d = G.DMS, - m = G.Math, - testcases = [ - [35.60777, -139.44815, 111.098748429560326, - -11.17491, -69.95921, 129.289270889708762, - 8935244.5604818305, 80.50729714281974, 6273170.2055303837, - 0.16606318447386067, 0.16479116945612937, 12841384694976.432], - [55.52454, 106.05087, 22.020059880982801, - 77.03196, 197.18234, 109.112041110671519, - 4105086.1713924406, 36.892740690445894, 3828869.3344387607, - 0.80076349608092607, 0.80101006984201008, 61674961290615.615], - [-21.97856, 142.59065, -32.44456876433189, - 41.84138, 98.56635, -41.84359951440466, - 8394328.894657671, 75.62930491011522, 6161154.5773110616, - 0.24816339233950381, 0.24930251203627892, -6637997720646.717], - [-66.99028, 112.2363, 173.73491240878403, - -12.70631, 285.90344, 2.512956620913668, - 11150344.2312080241, 100.278634181155759, 6289939.5670446687, - -0.17199490274700385, -0.17722569526345708, -121287239862139.744], - [-17.42761, 173.34268, -159.033557661192928, - -15.84784, 5.93557, -20.787484651536988, - 16076603.1631180673, 144.640108810286253, 3732902.1583877189, - -0.81273638700070476, -0.81299800519154474, 97825992354058.708], - [32.84994, 48.28919, 150.492927788121982, - -56.28556, 202.29132, 48.113449399816759, - 16727068.9438164461, 150.565799985466607, 3147838.1910180939, - -0.87334918086923126, -0.86505036767110637, -72445258525585.010], - [6.96833, 52.74123, 92.581585386317712, - -7.39675, 206.17291, 90.721692165923907, - 17102477.2496958388, 154.147366239113561, 2772035.6169917581, - -0.89991282520302447, -0.89986892177110739, -1311796973197.995], - [-50.56724, -16.30485, -105.439679907590164, - -33.56571, -94.97412, -47.348547835650331, - 6455670.5118668696, 58.083719495371259, 5409150.7979815838, - 0.53053508035997263, 0.52988722644436602, 41071447902810.047], - [-58.93002, -8.90775, 140.965397902500679, - -8.91104, 133.13503, 19.255429433416599, - 11756066.0219864627, 105.755691241406877, 6151101.2270708536, - -0.26548622269867183, -0.27068483874510741, -86143460552774.735], - [-68.82867, -74.28391, 93.774347763114881, - -50.63005, -8.36685, 34.65564085411343, - 3956936.926063544, 35.572254987389284, 3708890.9544062657, - 0.81443963736383502, 0.81420859815358342, -41845309450093.787], - [-10.62672, -32.0898, -86.426713286747751, - 5.883, -134.31681, -80.473780971034875, - 11470869.3864563009, 103.387395634504061, 6184411.6622659713, - -0.23138683500430237, -0.23155097622286792, 4198803992123.548], - [-21.76221, 166.90563, 29.319421206936428, - 48.72884, 213.97627, 43.508671946410168, - 9098627.3986554915, 81.963476716121964, 6299240.9166992283, - 0.13965943368590333, 0.14152969707656796, 10024709850277.476], - [-19.79938, -174.47484, 71.167275780171533, - -11.99349, -154.35109, 65.589099775199228, - 2319004.8601169389, 20.896611684802389, 2267960.8703918325, - 0.93427001867125849, 0.93424887135032789, -3935477535005.785], - [-11.95887, -116.94513, 92.712619830452549, - 4.57352, 7.16501, 78.64960934409585, - 13834722.5801401374, 124.688684161089762, 5228093.177931598, - -0.56879356755666463, -0.56918731952397221, -9919582785894.853], - [-87.85331, 85.66836, -65.120313040242748, - 66.48646, 16.09921, -4.888658719272296, - 17286615.3147144645, 155.58592449699137, 2635887.4729110181, - -0.90697975771398578, -0.91095608883042767, 42667211366919.534], - [1.74708, 128.32011, -101.584843631173858, - -11.16617, 11.87109, -86.325793296437476, - 12942901.1241347408, 116.650512484301857, 5682744.8413270572, - -0.44857868222697644, -0.44824490340007729, 10763055294345.653], - [-25.72959, -144.90758, -153.647468693117198, - -57.70581, -269.17879, -48.343983158876487, - 9413446.7452453107, 84.664533838404295, 6356176.6898881281, - 0.09492245755254703, 0.09737058264766572, 74515122850712.444], - [-41.22777, 122.32875, 14.285113402275739, - -7.57291, 130.37946, 10.805303085187369, - 3812686.035106021, 34.34330804743883, 3588703.8812128856, - 0.82605222593217889, 0.82572158200920196, -2456961531057.857], - [11.01307, 138.25278, 79.43682622782374, - 6.62726, 247.05981, 103.708090215522657, - 11911190.819018408, 107.341669954114577, 6070904.722786735, - -0.29767608923657404, -0.29785143390252321, 17121631423099.696], - [-29.47124, 95.14681, -163.779130441688382, - -27.46601, -69.15955, -15.909335945554969, - 13487015.8381145492, 121.294026715742277, 5481428.9945736388, - -0.51527225545373252, -0.51556587964721788, 104679964020340.318]]; - -assert.approx = function(x, y, d) { - assert(Math.abs(x-y) <= d, x + " = " + y + " +/- " + d); -}; - -describe("GeographicLib", function() { - describe("GeodesicTest", function () { - var geod = g.WGS84, i, - check_geod_inverse, check_geod_direct, check_geod_arcdirect; - - check_geod_inverse = function(l) { - var lat1 = l[0], lon1 = l[1], azi1 = l[2], - lat2 = l[3], lon2 = l[4], azi2 = l[5], - s12 = l[6], a12 = l[7], m12 = l[8], - M12 = l[9], M21 = l[10], S12 = l[11], - inv = geod.Inverse(lat1, lon1, lat2, G.Math.AngNormalize(lon2), - g.ALL | g.LONG_UNROLL); - assert.approx(lon2, inv.lon2, 1e-13); - assert.approx(azi1, inv.azi1, 1e-13); - assert.approx(azi2, inv.azi2, 1e-13); - assert.approx(s12, inv.s12, 1e-8); - assert.approx(a12, inv.a12, 1e-13); - assert.approx(m12, inv.m12, 1e-8); - assert.approx(M12, inv.M12, 1e-15); - assert.approx(M21, inv.M21, 1e-15); - assert.approx(S12, inv.S12, 0.1); - }; - - check_geod_direct = function(l) { - var lat1 = l[0], lon1 = l[1], azi1 = l[2], - lat2 = l[3], lon2 = l[4], azi2 = l[5], - s12 = l[6], a12 = l[7], m12 = l[8], - M12 = l[9], M21 = l[10], S12 = l[11], - dir = geod.Direct(lat1, lon1, azi1, s12, g.ALL | g.LONG_UNROLL); - assert.approx(lat2, dir.lat2, 1e-13); - assert.approx(lon2, dir.lon2, 1e-13); - assert.approx(azi2, dir.azi2, 1e-13); - assert.approx(a12, dir.a12, 1e-13); - assert.approx(m12, dir.m12, 1e-8); - assert.approx(M12, dir.M12, 1e-15); - assert.approx(M21, dir.M21, 1e-15); - assert.approx(S12, dir.S12, 0.1); - }; - - check_geod_arcdirect = function(l) { - var lat1 = l[0], lon1 = l[1], azi1 = l[2], - lat2 = l[3], lon2 = l[4], azi2 = l[5], - s12 = l[6], a12 = l[7], m12 = l[8], - M12 = l[9], M21 = l[10], S12 = l[11], - dir = geod.ArcDirect(lat1, lon1, azi1, a12, g.ALL | g.LONG_UNROLL); - assert.approx(lat2, dir.lat2, 1e-13); - assert.approx(lon2, dir.lon2, 1e-13); - assert.approx(azi2, dir.azi2, 1e-13); - assert.approx(s12, dir.s12, 1e-8); - assert.approx(m12, dir.m12, 1e-8); - assert.approx(M12, dir.M12, 1e-15); - assert.approx(M21, dir.M21, 1e-15); - assert.approx(S12, dir.S12, 0.1); - }; - - it("check inverse", function () { - for (i = 0; i < testcases.length; ++i) { - check_geod_inverse(testcases[i]); - } - }); - - it("check direct", function () { - for (i = 0; i < testcases.length; ++i) { - check_geod_direct(testcases[i]); - } - }); - - it("check arcdirect", function () { - for (i = 0; i < testcases.length; ++i) { - check_geod_arcdirect(testcases[i]); - } - }); - - }); - - describe("DMSTest", function () { - it("check decode", function () { - assert.deepEqual(d.Decode("E7:33:36"), d.Decode("-7.56W")); - }); - }); - - describe("GeodesicSolve", function () { - it("GeodSolve0", function () { - var geod = g.WGS84, - inv = geod.Inverse(40.6, -73.8, 49.01666667, 2.55); - assert.approx(inv.azi1, 53.47022, 0.5e-5); - assert.approx(inv.azi2, 111.59367, 0.5e-5); - assert.approx(inv.s12, 5853226, 0.5); - }); - - it("GeodSolve1", function() { - var geod = g.WGS84, - dir = geod.Direct(40.63972222, -73.77888889, 53.5, 5850e3); - assert.approx(dir.lat2, 49.01467, 0.5e-5); - assert.approx(dir.lon2, 2.56106, 0.5e-5); - assert.approx(dir.azi2, 111.62947, 0.5e-5); - }); - - it("GeodSolve2", function() { - // Check fix for antipodal prolate bug found 2010-09-04 - var geod = new g.Geodesic(6.4e6, -1/150.0), - inv = geod.Inverse(0.07476, 0, -0.07476, 180); - assert.approx(inv.azi1, 90.00078, 0.5e-5); - assert.approx(inv.azi2, 90.00078, 0.5e-5); - assert.approx(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0.1, 0, -0.1, 180); - assert.approx(inv.azi1, 90.00105, 0.5e-5); - assert.approx(inv.azi2, 90.00105, 0.5e-5); - assert.approx(inv.s12, 20106193, 0.5); - }); - - it("GeodSolve4", function() { - // Check fix for short line bug found 2010-05-21 - var geod = g.WGS84, - inv = geod.Inverse(36.493349428792, 0, 36.49334942879201, 0.0000008); - assert.approx(inv.s12, 0.072, 0.5e-3); - }); - - it("GeodSolve5", function() { - // Check fix for point2=pole bug found 2010-05-03 - var geod = g.WGS84, - dir = geod.Direct(0.01777745589997, 30, 0, 10e6); - assert.approx(dir.lat2, 90, 0.5e-5); - if (dir.lon2 < 0) { - assert.approx(dir.lon2, -150, 0.5e-5); - assert.approx(Math.abs(dir.azi2), 180, 0.5e-5); - } else { - assert.approx(dir.lon2, 30, 0.5e-5); - assert.approx(dir.azi2, 0, 0.5e-5); - } - }); - - it("GeodSolve6", function() { - // Check fix for volatile sbet12a bug found 2011-06-25 (gcc 4.4.4 - // x86 -O3). Found again on 2012-03-27 with tdm-mingw32 (g++ 4.6.1). - var geod = g.WGS84, - inv = geod.Inverse(88.202499451857, 0, - -88.202499451857, 179.981022032992859592); - assert.approx(inv.s12, 20003898.214, 0.5e-3); - inv = geod.Inverse(89.262080389218, 0, - -89.262080389218, 179.992207982775375662); - assert.approx(inv.s12, 20003925.854, 0.5e-3); - inv = geod.Inverse(89.333123580033, 0, - -89.333123580032997687, 179.99295812360148422); - assert.approx(inv.s12, 20003926.881, 0.5e-3); - }); - - it("GeodSolve9", function() { - // Check fix for volatile x bug found 2011-06-25 (gcc 4.4.4 x86 -O3) - var geod = g.WGS84, - inv = geod.Inverse(56.320923501171, 0, - -56.320923501171, 179.664747671772880215); - assert.approx(inv.s12, 19993558.287, 0.5e-3); - }); - - it("GeodSolve10", function() { - // Check fix for adjust tol1_ bug found 2011-06-25 (Visual Studio - // 10 rel + debug) - var geod = g.WGS84, - inv = geod.Inverse(52.784459512564, 0, - -52.784459512563990912, 179.634407464943777557); - assert.approx(inv.s12, 19991596.095, 0.5e-3); - }); - - it("GeodSolve11", function() { - // Check fix for bet2 = -bet1 bug found 2011-06-25 (Visual Studio - // 10 rel + debug) - var geod = g.WGS84, - inv = geod.Inverse(48.522876735459, 0, - -48.52287673545898293, 179.599720456223079643); - assert.approx(inv.s12, 19989144.774, 0.5e-3); - }); - - it("GeodSolve12", function() { - // Check fix for inverse geodesics on extreme prolate/oblate - // ellipsoids Reported 2012-08-29 Stefan Guenther - // ; fixed 2012-10-07 - var geod = new g.Geodesic(89.8, -1.83), - inv = geod.Inverse(0, 0, -10, 160); - assert.approx(inv.azi1, 120.27, 1e-2); - assert.approx(inv.azi2, 105.15, 1e-2); - assert.approx(inv.s12, 266.7, 1e-1); - }); - - it("GeodSolve14", function() { - // Check fix for inverse ignoring lon12 = nan - var geod = g.WGS84, - inv = geod.Inverse(0, 0, 1, NaN); - assert(isNaN(inv.azi1)); - assert(isNaN(inv.azi2)); - assert(isNaN(inv.s12)); - }); - - it("GeodSolve15", function() { - // Initial implementation of Math::eatanhe was wrong for e^2 < 0. This - // checks that this is fixed. - var geod = new g.Geodesic(6.4e6, -1/150.0), - dir = geod.Direct(1, 2, 3, 4, g.AREA); - assert.approx(dir.S12, 23700, 0.5); - }); - - it("GeodSolve17", function() { - // Check fix for LONG_UNROLL bug found on 2015-05-07 - var geod = g.WGS84, - dir = geod.Direct(40, -75, -10, 2e7, g.LONG_UNROLL), - line; - assert.approx(dir.lat2, -39, 1); - assert.approx(dir.lon2, -254, 1); - assert.approx(dir.azi2, -170, 1); - line = geod.Line(40, -75, -10); - dir = line.Position(2e7, g.LONG_UNROLL); - assert.approx(dir.lat2, -39, 1); - assert.approx(dir.lon2, -254, 1); - assert.approx(dir.azi2, -170, 1); - dir = geod.Direct(40, -75, -10, 2e7); - assert.approx(dir.lat2, -39, 1); - assert.approx(dir.lon2, 105, 1); - assert.approx(dir.azi2, -170, 1); - dir = line.Position(2e7); - assert.approx(dir.lat2, -39, 1); - assert.approx(dir.lon2, 105, 1); - assert.approx(dir.azi2, -170, 1); - }); - - it("GeodSolve26", function() { - // Check 0/0 problem with area calculation on sphere 2015-09-08 - var geod = new g.Geodesic(6.4e6, 0), - inv = geod.Inverse(1, 2, 3, 4, g.AREA); - assert.approx(inv.S12, 49911046115.0, 0.5); - }); - - it("GeodSolve28", function() { - // Check for bad placement of assignment of r.a12 with |f| > 0.01 (bug in - // Java implementation fixed on 2015-05-19). - var geod = new g.Geodesic(6.4e6, 0.1), - dir = geod.Direct(1, 2, 10, 5e6); - assert.approx(dir.a12, 48.55570690, 0.5e-8); - }); - - it("GeodSolve29", function() { - // Check longitude unrolling with inverse calculation 2015-09-16 - var geod = g.WGS84, - dir = geod.Inverse(0, 539, 0, 181); - assert.approx(dir.lon1, 179, 1e-10); - assert.approx(dir.lon2, -179, 1e-10); - assert.approx(dir.s12, 222639, 0.5); - dir = geod.Inverse(0, 539, 0, 181, g.LONG_UNROLL); - assert.approx(dir.lon1, 539, 1e-10); - assert.approx(dir.lon2, 541, 1e-10); - assert.approx(dir.s12, 222639, 0.5); - }); - - it("GeodSolve33", function() { - // Check max(-0.0,+0.0) issues 2015-08-22 (triggered by bugs in Octave -- - // sind(-0.0) = +0.0 -- and in some version of Visual Studio -- - // fmod(-0.0, 360.0) = +0.0. - var geod = g.WGS84, - inv = geod.Inverse(0, 0, 0, 179); - assert.approx(inv.azi1, 90.00000, 0.5e-5); - assert.approx(inv.azi2, 90.00000, 0.5e-5); - assert.approx(inv.s12, 19926189, 0.5); - inv = geod.Inverse(0, 0, 0, 179.5); - assert.approx(inv.azi1, 55.96650, 0.5e-5); - assert.approx(inv.azi2, 124.03350, 0.5e-5); - assert.approx(inv.s12, 19980862, 0.5); - inv = geod.Inverse(0, 0, 0, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 20003931, 0.5); - inv = geod.Inverse(0, 0, 1, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 19893357, 0.5); - geod = new g.Geodesic(6.4e6, 0); - inv = geod.Inverse(0, 0, 0, 179); - assert.approx(inv.azi1, 90.00000, 0.5e-5); - assert.approx(inv.azi2, 90.00000, 0.5e-5); - assert.approx(inv.s12, 19994492, 0.5); - inv = geod.Inverse(0, 0, 0, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0, 0, 1, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 19994492, 0.5); - geod = new g.Geodesic(6.4e6, -1/300.0); - inv = geod.Inverse(0, 0, 0, 179); - assert.approx(inv.azi1, 90.00000, 0.5e-5); - assert.approx(inv.azi2, 90.00000, 0.5e-5); - assert.approx(inv.s12, 19994492, 0.5); - inv = geod.Inverse(0, 0, 0, 180); - assert.approx(inv.azi1, 90.00000, 0.5e-5); - assert.approx(inv.azi2, 90.00000, 0.5e-5); - assert.approx(inv.s12, 20106193, 0.5); - inv = geod.Inverse(0, 0, 0.5, 180); - assert.approx(inv.azi1, 33.02493, 0.5e-5); - assert.approx(inv.azi2, 146.97364, 0.5e-5); - assert.approx(inv.s12, 20082617, 0.5); - inv = geod.Inverse(0, 0, 1, 180); - assert.approx(inv.azi1, 0.00000, 0.5e-5); - assert.approx(Math.abs(inv.azi2), 180.00000, 0.5e-5); - assert.approx(inv.s12, 20027270, 0.5); - }); - - it("GeodSolve55", function() { - // Check fix for nan + point on equator or pole not returning all nans in - // Geodesic::Inverse, found 2015-09-23. - var geod = g.WGS84, - inv = geod.Inverse(NaN, 0, 0, 90); - assert(isNaN(inv.azi1)); - assert(isNaN(inv.azi2)); - assert(isNaN(inv.s12)); - inv = geod.Inverse(NaN, 0, 90, 9); - assert(isNaN(inv.azi1)); - assert(isNaN(inv.azi2)); - assert(isNaN(inv.s12)); - }); - - it("GeodSolve59", function() { - // Check for points close with longitudes close to 180 deg apart. - var geod = g.WGS84, - inv = geod.Inverse(5, 0.00000000000001, 10, 180); - assert.approx(inv.azi1, 0.000000000000035, 1.5e-14); - assert.approx(inv.azi2, 179.99999999999996, 1.5e-14); - assert.approx(inv.s12, 18345191.174332713, 5e-9); - }); - - it("GeodSolve61", function() { - // Make sure small negative azimuths are west-going - var geod = g.WGS84, - dir = geod.Direct(45, 0, -0.000000000000000003, 1e7, - g.LONG_UNROLL), - line; - assert.approx(dir.lat2, 45.30632, 0.5e-5); - assert.approx(dir.lon2, -180, 0.5e-5); - assert.approx(Math.abs(dir.azi2), 180, 0.5e-5); - line = geod.InverseLine(45, 0, 80, -0.000000000000000003); - dir = line.Position(1e7, g.LONG_UNROLL); - assert.approx(dir.lat2, 45.30632, 0.5e-5); - assert.approx(dir.lon2, -180, 0.5e-5); - assert.approx(Math.abs(dir.azi2), 180, 0.5e-5); - }); - - it("GeodSolve65", function() { - // Check for bug in east-going check in GeodesicLine (needed to check for - // sign of 0) and sign error in area calculation due to a bogus override - // of the code for alp12. Found/fixed on 2015-12-19. - var geod = g.WGS84, - line = geod.InverseLine(30, -0.000000000000000001, -31, 180, - g.ALL), - dir = line.Position(1e7, g.ALL | g.LONG_UNROLL); - assert.approx(dir.lat1, 30.00000 , 0.5e-5); - assert.approx(dir.lon1, -0.00000 , 0.5e-5); - assert.approx(Math.abs(dir.azi1), 180.00000, 0.5e-5); - assert.approx(dir.lat2, -60.23169 , 0.5e-5); - assert.approx(dir.lon2, -0.00000 , 0.5e-5); - assert.approx(Math.abs(dir.azi2), 180.00000, 0.5e-5); - assert.approx(dir.s12 , 10000000 , 0.5); - assert.approx(dir.a12 , 90.06544 , 0.5e-5); - assert.approx(dir.m12 , 6363636 , 0.5); - assert.approx(dir.M12 , -0.0012834, 0.5e7); - assert.approx(dir.M21 , 0.0013749 , 0.5e-7); - assert.approx(dir.S12 , 0 , 0.5); - dir = line.Position(2e7, g.ALL | g.LONG_UNROLL); - assert.approx(dir.lat1, 30.00000 , 0.5e-5); - assert.approx(dir.lon1, -0.00000 , 0.5e-5); - assert.approx(Math.abs(dir.azi1), 180.00000, 0.5e-5); - assert.approx(dir.lat2, -30.03547 , 0.5e-5); - assert.approx(dir.lon2, -180.00000, 0.5e-5); - assert.approx(dir.azi2, -0.00000 , 0.5e-5); - assert.approx(dir.s12 , 20000000 , 0.5); - assert.approx(dir.a12 , 179.96459 , 0.5e-5); - assert.approx(dir.m12 , 54342 , 0.5); - assert.approx(dir.M12 , -1.0045592, 0.5e7); - assert.approx(dir.M21 , -0.9954339, 0.5e-7); - assert.approx(dir.S12 , 127516405431022.0, 0.5); - }); - - it("GeodSolve69", function() { - // Check for InverseLine if line is slightly west of S and that s13 is - // correctly set. - var geod = g.WGS84, - line = geod.InverseLine(-5, -0.000000000000002, -10, 180), - dir = line.Position(2e7, g.LONG_UNROLL); - assert.approx(dir.lat2, 4.96445 , 0.5e-5); - assert.approx(dir.lon2, -180.00000, 0.5e-5); - assert.approx(dir.azi2, -0.00000 , 0.5e-5); - dir = line.Position(0.5 * line.s13, g.LONG_UNROLL); - assert.approx(dir.lat2, -87.52461 , 0.5e-5); - assert.approx(dir.lon2, -0.00000 , 0.5e-5); - assert.approx(dir.azi2, -180.00000, 0.5e-5); - }); - - it("GeodSolve71", function() { - // Check that DirectLine sets s13. - var geod = g.WGS84, - line = geod.DirectLine(1, 2, 45, 1e7), - dir = line.Position(0.5 * line.s13, g.LONG_UNROLL); - assert.approx(dir.lat2, 30.92625, 0.5e-5); - assert.approx(dir.lon2, 37.54640, 0.5e-5); - assert.approx(dir.azi2, 55.43104, 0.5e-5); - }); - - it("GeodSolve73", function() { - // Check for backwards from the pole bug reported by Anon on 2016-02-13. - // This only affected the Java implementation. It was introduced in Java - // version 1.44 and fixed in 1.46-SNAPSHOT on 2016-01-17. - // Also the + sign on azi2 is a check on the normalizing of azimuths - // (converting -0.0 to +0.0). - var geod = g.WGS84, - dir = geod.Direct(90, 10, 180, -1e6); - assert.approx(dir.lat2, 81.04623, 0.5e-5); - assert.approx(dir.lon2, -170, 0.5e-5); - assert.approx(dir.azi2, 0, 0.5e-5); - assert.ok(m.copysign(1, dir.azi2) > 0); - }); - - it("GeodSolve74", function() { - // Check fix for inaccurate areas, bug introduced in v1.46, fixed - // 2015-10-16. - var geod = g.WGS84, - inv = geod.Inverse(54.1589, 15.3872, 54.1591, 15.3877, g.ALL); - assert.approx(inv.azi1, 55.723110355, 5e-9); - assert.approx(inv.azi2, 55.723515675, 5e-9); - assert.approx(inv.s12, 39.527686385, 5e-9); - assert.approx(inv.a12, 0.000355495, 5e-9); - assert.approx(inv.m12, 39.527686385, 5e-9); - assert.approx(inv.M12, 0.999999995, 5e-9); - assert.approx(inv.M21, 0.999999995, 5e-9); - assert.approx(inv.S12, 286698586.30197, 5e-4); - }); - - it("GeodSolve76", function() { - // The distance from Wellington and Salamanca (a classic failure of - // Vincenty) - var geod = g.WGS84, - inv = geod.Inverse(-(41+19/60.0), 174+49/60.0, - 40+58/60.0, -(5+30/60.0)); - assert.approx(inv.azi1, 160.39137649664, 0.5e-11); - assert.approx(inv.azi2, 19.50042925176, 0.5e-11); - assert.approx(inv.s12, 19960543.857179, 0.5e-6); - }); - - it("GeodSolve78", function() { - // An example where the NGS calculator fails to converge - var geod = g.WGS84, - inv = geod.Inverse(27.2, 0.0, -27.1, 179.5); - assert.approx(inv.azi1, 45.82468716758, 0.5e-11); - assert.approx(inv.azi2, 134.22776532670, 0.5e-11); - assert.approx(inv.s12, 19974354.765767, 0.5e-6); - }); - - it("GeodSolve80", function() { - // Some tests to add code coverage: computing scale in special cases + - // zero length geodesic (includes GeodSolve80 - GeodSolve83). - var geod = g.WGS84, inv, line, dir; - - inv = geod.Inverse(0, 0, 0, 90, g.GEODESICSCALE); - assert.approx(inv.M12, -0.00528427534, 0.5e-10); - assert.approx(inv.M21, -0.00528427534, 0.5e-10); - - inv = geod.Inverse(0, 0, 1e-6, 1e-6, g.GEODESICSCALE); - assert.approx(inv.M12, 1, 0.5e-10); - assert.approx(inv.M21, 1, 0.5e-10); - - inv = geod.Inverse(20.001, 0, 20.001, 0, g.ALL); - assert.approx(inv.a12, 0, 1e-13); - assert.approx(inv.s12, 0, 1e-8); - assert.approx(inv.azi1, 180, 1e-13); - assert.approx(inv.azi2, 180, 1e-13); - assert.approx(inv.m12, 0, 1e-8); - assert.approx(inv.M12, 1, 1e-15); - assert.approx(inv.M21, 1, 1e-15); - assert.approx(inv.S12, 0, 1e-10); - - inv = geod.Inverse(90, 0, 90, 180, g.ALL); - assert.approx(inv.a12, 0, 1e-13); - assert.approx(inv.s12, 0, 1e-8); - assert.approx(inv.azi1, 0, 1e-13); - assert.approx(inv.azi2, 180, 1e-13); - assert.approx(inv.m12, 0, 1e-8); - assert.approx(inv.M12, 1, 1e-15); - assert.approx(inv.M21, 1, 1e-15); - assert.approx(inv.S12, 127516405431022.0, 0.5); - - // An incapable line which can't take distance as input - line = geod.Line(1, 2, 90, g.LATITUDE); - dir = line.Position(1000, g.NONE); - assert(isNaN(dir.a12)); - }); - - it("GeodSolve84", function() { - // Tests for python implementation to check fix for range errors with - // {fmod,sin,cos}(inf) (includes GeodSolve84 - GeodSolve86). - var geod = g.WGS84, dir; - dir = geod.Direct(0, 0, 90, Infinity); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(0, 0, 90, NaN); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(0, 0, Infinity, 1000); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(0, 0, NaN, 1000); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(0, Infinity, 90, 1000); - assert(dir.lat2 == 0); - assert(isNaN(dir.lon2)); - assert(dir.azi2 == 90); - dir = geod.Direct(0, NaN, 90, 1000); - assert(dir.lat2 == 0); - assert(isNaN(dir.lon2)); - assert(dir.azi2 == 90); - dir = geod.Direct(Infinity, 0, 90, 1000); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - dir = geod.Direct(NaN, 0, 90, 1000); - assert(isNaN(dir.lat2)); - assert(isNaN(dir.lon2)); - assert(isNaN(dir.azi2)); - }); - - }); - - describe("Planimeter", function () { - - var geod = g.WGS84, - polygon = geod.Polygon(false), - polyline = geod.Polygon(true), - Planimeter, PolyLength; - - Planimeter = function(points) { - var i; - polygon.Clear(); - for (i = 0; i < points.length; ++i) { - polygon.AddPoint(points[i][0], points[i][1]); - } - return polygon.Compute(false, true); - }; - - PolyLength = function(points) { - var i; - polyline.Clear(); - for (i = 0; i < points.length; ++i) { - polyline.AddPoint(points[i][0], points[i][1]); - } - return polyline.Compute(false, true); - }; - - it("Planimeter0", function() { - // Check fix for pole-encircling bug found 2011-03-16 - var points, a; - points = [[89, 0], [89, 90], [89, 180], [89, 270]]; - a = Planimeter(points); - assert.approx(a.perimeter, 631819.8745, 1e-4); - assert.approx(a.area, 24952305678.0, 1); - - points = [[-89, 0], [-89, 90], [-89, 180], [-89, 270]]; - a = Planimeter(points); - assert.approx(a.perimeter, 631819.8745, 1e-4); - assert.approx(a.area, -24952305678.0, 1); - - points = [[0, -1], [-1, 0], [0, 1], [1, 0]]; - a = Planimeter(points); - assert.approx(a.perimeter, 627598.2731, 1e-4); - assert.approx(a.area, 24619419146.0, 1); - - points = [[90, 0], [0, 0], [0, 90]]; - a = Planimeter(points); - assert.approx(a.perimeter, 30022685, 1); - assert.approx(a.area, 63758202715511.0, 1); - a = PolyLength(points); - assert.approx(a.perimeter, 20020719, 1); - assert(isNaN(a.area)); - }); - - it("Planimeter5", function() { - // Check fix for Planimeter pole crossing bug found 2011-06-24 - var points, a; - points = [[89, 0.1], [89, 90.1], [89, -179.9]]; - a = Planimeter(points); - assert.approx(a.perimeter, 539297, 1); - assert.approx(a.area, 12476152838.5, 1); - }); - - it("Planimeter6", function() { - // Check fix for Planimeter lon12 rounding bug found 2012-12-03 - var points, a; - points = [[9, -0.00000000000001], [9, 180], [9, 0]]; - a = Planimeter(points); - assert.approx(a.perimeter, 36026861, 1); - assert.approx(a.area, 0, 1); - points = [[9, 0.00000000000001], [9, 0], [9, 180]]; - a = Planimeter(points); - assert.approx(a.perimeter, 36026861, 1); - assert.approx(a.area, 0, 1); - points = [[9, 0.00000000000001], [9, 180], [9, 0]]; - a = Planimeter(points); - assert.approx(a.perimeter, 36026861, 1); - assert.approx(a.area, 0, 1); - points = [[9, -0.00000000000001], [9, 0], [9, 180]]; - a = Planimeter(points); - assert.approx(a.perimeter, 36026861, 1); - assert.approx(a.area, 0, 1); - }); - - it("Planimeter12", function() { - // Area of arctic circle (not really -- adjunct to rhumb-area test) - var points, a; - points = [[66.562222222, 0], [66.562222222, 180]]; - a = Planimeter(points); - assert.approx(a.perimeter, 10465729, 1); - assert.approx(a.area, 0, 1); - }); - - it("Planimeter13", function() { - // Check encircling pole twice - var points, a; - points = [[89,-360], [89,-240], [89,-120], [89,0], [89,120], [89,240]]; - a = Planimeter(points); - assert.approx(a.perimeter, 1160741, 1); - assert.approx(a.area, 32415230256.0, 1); - }); - - it("Planimeter15", function() { - // Coverage tests, includes Planimeter15 - Planimeter18 (combinations of - // reverse and sign) + calls to testpoint, testedge. - var a, lat, lon, r, a0, area, inv; - lat = [2, 1, 3]; lon = [1, 2, 3]; - r = 18454562325.45119; - a0 = 510065621724088.5093; // ellipsoid area - polygon.Clear(); - polygon.AddPoint(lat[0], lon[0]); - polygon.AddPoint(lat[1], lon[1]); - a = polygon.TestPoint(lat[2], lon[2], false, true); - assert.approx(a.area, r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], false, false); - assert.approx(a.area, r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], true, true); - assert.approx(a.area, -r, 0.5); - a = polygon.TestPoint(lat[2], lon[2], true, false); - assert.approx(a.area, a0-r, 0.5); - inv = geod.Inverse(lat[1], lon[1], lat[2], lon[2]); - a = polygon.TestEdge(inv.azi1, inv.s12, false, true); - assert.approx(a.area, r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, false, false); - assert.approx(a.area, r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, true, true); - assert.approx(a.area, -r, 0.5); - a = polygon.TestEdge(inv.azi1, inv.s12, true, false); - assert.approx(a.area, a0-r, 0.5); - polygon.AddPoint(lat[2], lon[2]); - a = polygon.Compute(false, true); - assert.approx(a.area, r, 0.5); - a = polygon.Compute(false, false); - assert.approx(a.area, r, 0.5); - a = polygon.Compute(true, true); - assert.approx(a.area, -r, 0.5); - a = polygon.Compute(true, false); - assert.approx(a.area, a0-r, 0.5); - }); - - it("Planimeter19", function() { - // Coverage tests, includes Planimeter19 - Planimeter20 (degenerate - // polygons) + extra cases. - var a; - polygon.Clear(); - a = polygon.Compute(false, true); - assert(a.area == 0); - assert(a.perimeter == 0); - a = polygon.TestPoint(1, 1, false, true); - assert(a.area == 0); - assert(a.perimeter == 0); - a = polygon.TestEdge(90, 1000, false, true); - assert(isNaN(a.area)); - assert(isNaN(a.perimeter)); - polygon.AddPoint(1, 1); - a = polygon.Compute(false, true); - assert(a.area == 0); - assert(a.perimeter == 0); - polyline.Clear(); - a = polyline.Compute(false, true); - assert(a.perimeter == 0); - a = polyline.TestPoint(1, 1, false, true); - assert(a.perimeter == 0); - a = polyline.TestEdge(90, 1000, false, true); - assert(isNaN(a.perimeter)); - polyline.AddPoint(1, 1); - a = polyline.Compute(false, true); - assert(a.perimeter == 0); - polygon.AddPoint(1, 1); - a = polyline.TestEdge(90, 1000, false, true); - assert.approx(a.perimeter, 1000, 1e-10); - a = polyline.TestPoint(2, 2, false, true); - assert.approx(a.perimeter, 156876.149, 0.5e-3); - }); - - it("Planimeter21", function() { - // Some test to add code coverage: multiple circlings of pole (includes - // Planimeter21 - Planimeter28) + invocations via testpoint and testedge. - var a, lat, azi, s, r, a0, i; - lat = 45; - azi = 39.2144607176828184218; - s = 8420705.40957178156285; - r = 39433884866571.4277; // Area for one circuit - a0 = 510065621724088.5093; // Ellipsoid area - polygon.Clear(); - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - polygon.AddPoint(lat, -60); - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - polygon.AddPoint(lat, -60); - for (i = 3; i <= 4; ++i) { - polygon.AddPoint(lat, 60); - polygon.AddPoint(lat, 180); - a = polygon.TestPoint(lat, -60, false, true); - assert.approx(a.area, i*r, 0.5); - a = polygon.TestPoint(lat, -60, false, false); - assert.approx(a.area, i*r, 0.5); - a = polygon.TestPoint(lat, -60, true, true); - assert.approx(a.area, -i*r, 0.5); - a = polygon.TestPoint(lat, -60, true, false); - assert.approx(a.area, -i*r + a0, 0.5); - a = polygon.TestEdge(azi, s, false, true); - assert.approx(a.area, i*r, 0.5); - a = polygon.TestEdge(azi, s, false, false); - assert.approx(a.area, i*r, 0.5); - a = polygon.TestEdge(azi, s, true, true); - assert.approx(a.area, -i*r, 0.5); - a = polygon.TestEdge(azi, s, true, false); - assert.approx(a.area, -i*r + a0, 0.5); - polygon.AddPoint(lat, -60); - a = polygon.Compute(false, true); - assert.approx(a.area, i*r, 0.5); - a = polygon.Compute(false, false); - assert.approx(a.area, i*r, 0.5); - a = polygon.Compute(true, true); - assert.approx(a.area, -i*r, 0.5); - a = polygon.Compute(true, false); - assert.approx(a.area, -i*r + a0, 0.5); - } - }); - - it("Planimeter29", function() { - // Check fix to transitdirect vs transit zero handling inconsistency - var a; - polygon.Clear(); - polygon.AddPoint(0, 0); - polygon.AddEdge( 90, 1000); - polygon.AddEdge( 0, 1000); - polygon.AddEdge(-90, 1000); - a = polygon.Compute(false, true); - // The area should be 1e6. Prior to the fix it was 1e6 - A/2, where - // A = ellipsoid area. - assert.approx(a.area, 1000000.0, 0.01); - }); - - it("check TestEdge", function() { - // Check fix of bugs found by threepointone, 2015-10-14 - polygon.Clear(); - polygon.AddPoint(33, 44); - polygon.TestEdge(90, 10e3, false, true); - polygon.AddEdge(90, 10e3, false, true); - }); - - }); -}); diff --git a/libs/GeographicLib-1.50.1/legacy/C/00README.txt b/libs/GeographicLib-1.50.1/legacy/C/00README.txt deleted file mode 100644 index c5ae434e19130359c3ea2e35c0c0ca653a5b5ee7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/C/00README.txt +++ /dev/null @@ -1,27 +0,0 @@ -This is a C implementation of the geodesic algorithms described in - - C. F. F. Karney, - Algorithms for geodesics, - J. Geodesy 87, 43-55 (2013); - https://doi.org/10.1007/s00190-012-0578-z - Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - -For documentation, see - - https://geographiclib.sourceforge.io/html/C/ - -The code in this directory is entirely self-contained. In particular, -it does not depend on the C++ classes. You can compile and link the -example programs directly with something like: - - cc -o inverse inverse.c geodesic.c -lm - echo 30 0 29.5 179.5 | ./inverse - -Alternatively, you can build the examples using cmake. For example, on -Linux systems you might do: - - mkdir BUILD - cd BUILD - cmake .. - make - echo 30 0 29.5 179.5 | ./inverse diff --git a/libs/GeographicLib-1.50.1/legacy/C/CMakeLists.txt b/libs/GeographicLib-1.50.1/legacy/C/CMakeLists.txt deleted file mode 100644 index 1abec6ffd84ed48bbf35b863255779551ceed64d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/C/CMakeLists.txt +++ /dev/null @@ -1,85 +0,0 @@ -project (GeographicLib-C C) - -cmake_minimum_required (VERSION 3.1.0) - -# Set a default build type for single-configuration cmake generators if -# no build type is set. -if (NOT CMAKE_CONFIGURATION_TYPES AND NOT CMAKE_BUILD_TYPE) - set (CMAKE_BUILD_TYPE Release) -endif () - -# Make the compiler more picky. -if (MSVC) - set (CMAKE_C_FLAGS "${CMAKE_C_FLAGS} /W4") -else () - set (CMAKE_C_FLAGS - "${CMAKE_C_FLAGS} -Wall -Wextra -Wno-array-bounds -pedantic") - if (NOT CMAKE_C_COMPILER_ID STREQUAL "Intel") - set (CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -Wfloat-conversion") - endif () -endif () - -# Tell Intel compiler to do arithmetic accurately. This is needed to -# stop the compiler from ignoring parentheses in expressions like -# (a + b) + c and from simplifying 0.0 + x to x (which is wrong if -# x = -0.0). -if (CMAKE_C_COMPILER_ID STREQUAL "Intel") - if (MSVC) - set (CMAKE_C_FLAGS - "${CMAKE_C_FLAGS} /fp:precise /Qdiag-disable:11074,11076") - else () - set (CMAKE_C_FLAGS - "${CMAKE_C_FLAGS} -fp-model precise -diag-disable=11074,11076") - endif () -endif () - -include (CheckCSourceCompiles) -if (MSVC) - set (CMAKE_REQUIRED_FLAGS "${CMAKE_C_FLAGS} /WX") -else () - set (CMAKE_REQUIRED_LIBRARIES m) - set (CMAKE_REQUIRED_FLAGS "${CMAKE_C_FLAGS} -Werror") -endif () -# Check whether the C99 math function: hypot, atanh, etc. are available. -check_c_source_compiles ( - "#include -int main() { - int q; - return (int)(hypot(3.0, 4.0) + atanh(0.8) + copysign(1.0, -0.0) + - cbrt(8.0) + remainder(100.0, 90.0) + - remquo(100.0, 90.0, &q)); -}\n" C99_MATH) -if (C99_MATH) - add_definitions (-DHAVE_C99_MATH=1) -else () - add_definitions (-DHAVE_C99_MATH=0) -endif () - -if (CONVERT_WARNINGS_TO_ERRORS) - if (MSVC) - set (CMAKE_C_FLAGS "${CMAKE_C_FLAGS} /WX") - else () - set (CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -Werror") - endif () -endif () - -set (TOOLS direct inverse planimeter geodtest) - -foreach (TOOL ${TOOLS}) - add_executable (${TOOL} ${TOOL}.c geodesic.c geodesic.h) - if (NOT MSVC) - target_link_libraries (${TOOL} m) - endif () -endforeach () - -if (MSVC OR CMAKE_CONFIGURATION_TYPES) - # Add _d suffix for your debug versions of the tools - set_target_properties (${TOOLS} PROPERTIES - DEBUG_POSTFIX _d) -endif () - -# Turn on testing -enable_testing () - -# Run the test suite -add_test (NAME geodtest COMMAND geodtest) diff --git a/libs/GeographicLib-1.50.1/legacy/C/direct.c b/libs/GeographicLib-1.50.1/legacy/C/direct.c deleted file mode 100644 index d41dec32b6a02cfe51277ef511a05e6a7a235522..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/C/direct.c +++ /dev/null @@ -1,32 +0,0 @@ -/** - * @file direct.c - * @brief A test program for geod_direct() - **********************************************************************/ - -#include -#include "geodesic.h" - -#if defined(_MSC_VER) -/* Squelch warnings about scanf */ -# pragma warning (disable: 4996) -#endif - -/** - * A simple program to solve the direct geodesic problem. - * - * This program reads in lines with lat1, lon1, azi1, s12 and prints out lines - * with lat2, lon2, azi2 (for the WGS84 ellipsoid). - **********************************************************************/ - -int main() { - double a = 6378137, f = 1/298.257223563; /* WGS84 */ - double lat1, lon1, azi1, lat2, lon2, azi2, s12; - struct geod_geodesic g; - - geod_init(&g, a, f); - while (scanf("%lf %lf %lf %lf", &lat1, &lon1, &azi1, &s12) == 4) { - geod_direct(&g, lat1, lon1, azi1, s12, &lat2, &lon2, &azi2); - printf("%.15f %.15f %.15f\n", lat2, lon2, azi2); - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/legacy/C/geodesic.c b/libs/GeographicLib-1.50.1/legacy/C/geodesic.c deleted file mode 100644 index 855d1aea7b2ea0981decf5968910bb2a63182e8a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/C/geodesic.c +++ /dev/null @@ -1,2114 +0,0 @@ -/** - * \file geodesic.c - * \brief Implementation of the geodesic routines in C - * - * For the full documentation see geodesic.h. - **********************************************************************/ - -/** @cond SKIP */ - -/* - * This is a C implementation of the geodesic algorithms described in - * - * C. F. F. Karney, - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * https://doi.org/10.1007/s00190-012-0578-z - * Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - * - * See the comments in geodesic.h for documentation. - * - * Copyright (c) Charles Karney (2012-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - */ - -#include "geodesic.h" -#include -#include -#include - -#if !defined(HAVE_C99_MATH) -#if defined(PROJ_LIB) -/* PROJ requires C99 so HAVE_C99_MATH is implicit */ -#define HAVE_C99_MATH 1 -#else -#define HAVE_C99_MATH 0 -#endif -#endif - -#if !defined(__cplusplus) -#define nullptr 0 -#endif - -#define GEOGRAPHICLIB_GEODESIC_ORDER 6 -#define nA1 GEOGRAPHICLIB_GEODESIC_ORDER -#define nC1 GEOGRAPHICLIB_GEODESIC_ORDER -#define nC1p GEOGRAPHICLIB_GEODESIC_ORDER -#define nA2 GEOGRAPHICLIB_GEODESIC_ORDER -#define nC2 GEOGRAPHICLIB_GEODESIC_ORDER -#define nA3 GEOGRAPHICLIB_GEODESIC_ORDER -#define nA3x nA3 -#define nC3 GEOGRAPHICLIB_GEODESIC_ORDER -#define nC3x ((nC3 * (nC3 - 1)) / 2) -#define nC4 GEOGRAPHICLIB_GEODESIC_ORDER -#define nC4x ((nC4 * (nC4 + 1)) / 2) -#define nC (GEOGRAPHICLIB_GEODESIC_ORDER + 1) - -typedef double real; -typedef int boolx; - -static unsigned init = 0; -static const int FALSE = 0; -static const int TRUE = 1; -static unsigned digits, maxit1, maxit2; -static real epsilon, realmin, pi, degree, NaN, - tiny, tol0, tol1, tol2, tolb, xthresh; - -static void Init() { - if (!init) { - digits = DBL_MANT_DIG; - epsilon = DBL_EPSILON; - realmin = DBL_MIN; -#if defined(M_PI) - pi = M_PI; -#else - pi = atan2(0.0, -1.0); -#endif - maxit1 = 20; - maxit2 = maxit1 + digits + 10; - tiny = sqrt(realmin); - tol0 = epsilon; - /* Increase multiplier in defn of tol1 from 100 to 200 to fix inverse case - * 52.784459512564 0 -52.784459512563990912 179.634407464943777557 - * which otherwise failed for Visual Studio 10 (Release and Debug) */ - tol1 = 200 * tol0; - tol2 = sqrt(tol0); - /* Check on bisection interval */ - tolb = tol0 * tol2; - xthresh = 1000 * tol2; - degree = pi/180; -#if defined(NAN) - NaN = NAN; /* NAN is defined in C99 */ -#else - { - real minus1 = -1; - /* cppcheck-suppress wrongmathcall */ - NaN = sqrt(minus1); - } -#endif - init = 1; - } -} - -enum captype { - CAP_NONE = 0U, - CAP_C1 = 1U<<0, - CAP_C1p = 1U<<1, - CAP_C2 = 1U<<2, - CAP_C3 = 1U<<3, - CAP_C4 = 1U<<4, - CAP_ALL = 0x1FU, - OUT_ALL = 0x7F80U -}; - -#if HAVE_C99_MATH -#define hypotx hypot -/* no need to redirect log1px, since it's only used by atanhx */ -#define atanhx atanh -#define copysignx copysign -#define cbrtx cbrt -#define remainderx remainder -#define remquox remquo -#else -/* Replacements for C99 math functions */ - -static real hypotx(real x, real y) { - x = fabs(x); y = fabs(y); - if (x < y) { - x /= y; /* y is nonzero */ - return y * sqrt(1 + x * x); - } else { - y /= (x != 0 ? x : 1); - return x * sqrt(1 + y * y); - } -} - -static real log1px(real x) { - volatile real - y = 1 + x, - z = y - 1; - /* Here's the explanation for this magic: y = 1 + z, exactly, and z - * approx x, thus log(y)/z (which is nearly constant near z = 0) returns - * a good approximation to the true log(1 + x)/x. The multiplication x * - * (log(y)/z) introduces little additional error. */ - return z == 0 ? x : x * log(y) / z; -} - -static real atanhx(real x) { - real y = fabs(x); /* Enforce odd parity */ - y = log1px(2 * y/(1 - y))/2; - return x > 0 ? y : (x < 0 ? -y : x); /* atanh(-0.0) = -0.0 */ -} - -static real copysignx(real x, real y) { - /* 1/y trick to get the sign of -0.0 */ - return fabs(x) * (y < 0 || (y == 0 && 1/y < 0) ? -1 : 1); -} - -static real cbrtx(real x) { - real y = pow(fabs(x), 1/(real)(3)); /* Return the real cube root */ - return x > 0 ? y : (x < 0 ? -y : x); /* cbrt(-0.0) = -0.0 */ -} - -static real remainderx(real x, real y) { - real z; - y = fabs(y); /* The result doesn't depend on the sign of y */ - z = fmod(x, y); - if (z == 0) - /* This shouldn't be necessary. However, before version 14 (2015), - * Visual Studio had problems dealing with -0.0. Specifically - * VC 10,11,12 and 32-bit compile: fmod(-0.0, 360.0) -> +0.0 - * python 2.7 on Windows 32-bit machines has the same problem. */ - z = copysignx(z, x); - else if (2 * fabs(z) == y) - z -= fmod(x, 2 * y) - z; /* Implement ties to even */ - else if (2 * fabs(z) > y) - z += (z < 0 ? y : -y); /* Fold remaining cases to (-y/2, y/2) */ - return z; -} - -static real remquox(real x, real y, int* n) { - real z = remainderx(x, y); - if (n) { - real - a = remainderx(x, 2 * y), - b = remainderx(x, 4 * y), - c = remainderx(x, 8 * y); - *n = (a > z ? 1 : (a < z ? -1 : 0)); - *n += (b > a ? 2 : (b < a ? -2 : 0)); - *n += (c > b ? 4 : (c < b ? -4 : 0)); - if (y < 0) *n *= -1; - if (y != 0) { - if (x/y > 0 && *n <= 0) - *n += 8; - else if (x/y < 0 && *n >= 0) - *n -= 8; - } - } - return z; -} - -#endif - -static real sq(real x) { return x * x; } - -static real sumx(real u, real v, real* t) { - volatile real s = u + v; - volatile real up = s - v; - volatile real vpp = s - up; - up -= u; - vpp -= v; - if (t) *t = -(up + vpp); - /* error-free sum: - * u + v = s + t - * = round(u + v) + t */ - return s; -} - -static real polyval(int N, const real p[], real x) { - real y = N < 0 ? 0 : *p++; - while (--N >= 0) y = y * x + *p++; - return y; -} - -/* mimic C++ std::min and std::max */ -static real minx(real a, real b) -{ return (b < a) ? b : a; } - -static real maxx(real a, real b) -{ return (a < b) ? b : a; } - -static void swapx(real* x, real* y) -{ real t = *x; *x = *y; *y = t; } - -static void norm2(real* sinx, real* cosx) { - real r = hypotx(*sinx, *cosx); - *sinx /= r; - *cosx /= r; -} - -static real AngNormalize(real x) { - x = remainderx(x, (real)(360)); - return x != -180 ? x : 180; -} - -static real LatFix(real x) -{ return fabs(x) > 90 ? NaN : x; } - -static real AngDiff(real x, real y, real* e) { - real t, d = AngNormalize(sumx(AngNormalize(-x), AngNormalize(y), &t)); - /* Here y - x = d + t (mod 360), exactly, where d is in (-180,180] and - * abs(t) <= eps (eps = 2^-45 for doubles). The only case where the - * addition of t takes the result outside the range (-180,180] is d = 180 - * and t > 0. The case, d = -180 + eps, t = -eps, can't happen, since - * sum would have returned the exact result in such a case (i.e., given t - * = 0). */ - return sumx(d == 180 && t > 0 ? -180 : d, t, e); -} - -static real AngRound(real x) { - const real z = 1/(real)(16); - volatile real y; - if (x == 0) return 0; - y = fabs(x); - /* The compiler mustn't "simplify" z - (z - y) to y */ - y = y < z ? z - (z - y) : y; - return x < 0 ? -y : y; -} - -static void sincosdx(real x, real* sinx, real* cosx) { - /* In order to minimize round-off errors, this function exactly reduces - * the argument to the range [-45, 45] before converting it to radians. */ - real r, s, c; int q; - r = remquox(x, (real)(90), &q); - /* now abs(r) <= 45 */ - r *= degree; - /* Possibly could call the gnu extension sincos */ - s = sin(r); c = cos(r); -#if defined(_MSC_VER) && _MSC_VER < 1900 - /* - * Before version 14 (2015), Visual Studio had problems dealing - * with -0.0. Specifically - * VC 10,11,12 and 32-bit compile: fmod(-0.0, 360.0) -> +0.0 - * VC 12 and 64-bit compile: sin(-0.0) -> +0.0 - * AngNormalize has a similar fix. - * python 2.7 on Windows 32-bit machines has the same problem. - */ - if (x == 0) s = x; -#endif - switch ((unsigned)q & 3U) { - case 0U: *sinx = s; *cosx = c; break; - case 1U: *sinx = c; *cosx = -s; break; - case 2U: *sinx = -s; *cosx = -c; break; - default: *sinx = -c; *cosx = s; break; /* case 3U */ - } - if (x != 0) { *sinx += (real)(0); *cosx += (real)(0); } -} - -static real atan2dx(real y, real x) { - /* In order to minimize round-off errors, this function rearranges the - * arguments so that result of atan2 is in the range [-pi/4, pi/4] before - * converting it to degrees and mapping the result to the correct - * quadrant. */ - int q = 0; real ang; - if (fabs(y) > fabs(x)) { swapx(&x, &y); q = 2; } - if (x < 0) { x = -x; ++q; } - /* here x >= 0 and x >= abs(y), so angle is in [-pi/4, pi/4] */ - ang = atan2(y, x) / degree; - switch (q) { - /* Note that atan2d(-0.0, 1.0) will return -0. However, we expect that - * atan2d will not be called with y = -0. If need be, include - * - * case 0: ang = 0 + ang; break; - */ - case 1: ang = (y >= 0 ? 180 : -180) - ang; break; - case 2: ang = 90 - ang; break; - case 3: ang = -90 + ang; break; - } - return ang; -} - -static void A3coeff(struct geod_geodesic* g); -static void C3coeff(struct geod_geodesic* g); -static void C4coeff(struct geod_geodesic* g); -static real SinCosSeries(boolx sinp, - real sinx, real cosx, - const real c[], int n); -static void Lengths(const struct geod_geodesic* g, - real eps, real sig12, - real ssig1, real csig1, real dn1, - real ssig2, real csig2, real dn2, - real cbet1, real cbet2, - real* ps12b, real* pm12b, real* pm0, - real* pM12, real* pM21, - /* Scratch area of the right size */ - real Ca[]); -static real Astroid(real x, real y); -static real InverseStart(const struct geod_geodesic* g, - real sbet1, real cbet1, real dn1, - real sbet2, real cbet2, real dn2, - real lam12, real slam12, real clam12, - real* psalp1, real* pcalp1, - /* Only updated if return val >= 0 */ - real* psalp2, real* pcalp2, - /* Only updated for short lines */ - real* pdnm, - /* Scratch area of the right size */ - real Ca[]); -static real Lambda12(const struct geod_geodesic* g, - real sbet1, real cbet1, real dn1, - real sbet2, real cbet2, real dn2, - real salp1, real calp1, - real slam120, real clam120, - real* psalp2, real* pcalp2, - real* psig12, - real* pssig1, real* pcsig1, - real* pssig2, real* pcsig2, - real* peps, - real* pdomg12, - boolx diffp, real* pdlam12, - /* Scratch area of the right size */ - real Ca[]); -static real A3f(const struct geod_geodesic* g, real eps); -static void C3f(const struct geod_geodesic* g, real eps, real c[]); -static void C4f(const struct geod_geodesic* g, real eps, real c[]); -static real A1m1f(real eps); -static void C1f(real eps, real c[]); -static void C1pf(real eps, real c[]); -static real A2m1f(real eps); -static void C2f(real eps, real c[]); -static int transit(real lon1, real lon2); -static int transitdirect(real lon1, real lon2); -static void accini(real s[]); -static void acccopy(const real s[], real t[]); -static void accadd(real s[], real y); -static real accsum(const real s[], real y); -static void accneg(real s[]); -static void accrem(real s[], real y); -static real areareduceA(real area[], real area0, - int crossings, boolx reverse, boolx sign); -static real areareduceB(real area, real area0, - int crossings, boolx reverse, boolx sign); - -void geod_init(struct geod_geodesic* g, real a, real f) { - if (!init) Init(); - g->a = a; - g->f = f; - g->f1 = 1 - g->f; - g->e2 = g->f * (2 - g->f); - g->ep2 = g->e2 / sq(g->f1); /* e2 / (1 - e2) */ - g->n = g->f / ( 2 - g->f); - g->b = g->a * g->f1; - g->c2 = (sq(g->a) + sq(g->b) * - (g->e2 == 0 ? 1 : - (g->e2 > 0 ? atanhx(sqrt(g->e2)) : atan(sqrt(-g->e2))) / - sqrt(fabs(g->e2))))/2; /* authalic radius squared */ - /* The sig12 threshold for "really short". Using the auxiliary sphere - * solution with dnm computed at (bet1 + bet2) / 2, the relative error in the - * azimuth consistency check is sig12^2 * abs(f) * min(1, 1-f/2) / 2. (Error - * measured for 1/100 < b/a < 100 and abs(f) >= 1/1000. For a given f and - * sig12, the max error occurs for lines near the pole. If the old rule for - * computing dnm = (dn1 + dn2)/2 is used, then the error increases by a - * factor of 2.) Setting this equal to epsilon gives sig12 = etol2. Here - * 0.1 is a safety factor (error decreased by 100) and max(0.001, abs(f)) - * stops etol2 getting too large in the nearly spherical case. */ - g->etol2 = 0.1 * tol2 / - sqrt( maxx((real)(0.001), fabs(g->f)) * minx((real)(1), 1 - g->f/2) / 2 ); - - A3coeff(g); - C3coeff(g); - C4coeff(g); -} - -static void geod_lineinit_int(struct geod_geodesicline* l, - const struct geod_geodesic* g, - real lat1, real lon1, - real azi1, real salp1, real calp1, - unsigned caps) { - real cbet1, sbet1, eps; - l->a = g->a; - l->f = g->f; - l->b = g->b; - l->c2 = g->c2; - l->f1 = g->f1; - /* If caps is 0 assume the standard direct calculation */ - l->caps = (caps ? caps : GEOD_DISTANCE_IN | GEOD_LONGITUDE) | - /* always allow latitude and azimuth and unrolling of longitude */ - GEOD_LATITUDE | GEOD_AZIMUTH | GEOD_LONG_UNROLL; - - l->lat1 = LatFix(lat1); - l->lon1 = lon1; - l->azi1 = azi1; - l->salp1 = salp1; - l->calp1 = calp1; - - sincosdx(AngRound(l->lat1), &sbet1, &cbet1); sbet1 *= l->f1; - /* Ensure cbet1 = +epsilon at poles */ - norm2(&sbet1, &cbet1); cbet1 = maxx(tiny, cbet1); - l->dn1 = sqrt(1 + g->ep2 * sq(sbet1)); - - /* Evaluate alp0 from sin(alp1) * cos(bet1) = sin(alp0), */ - l->salp0 = l->salp1 * cbet1; /* alp0 in [0, pi/2 - |bet1|] */ - /* Alt: calp0 = hypot(sbet1, calp1 * cbet1). The following - * is slightly better (consider the case salp1 = 0). */ - l->calp0 = hypotx(l->calp1, l->salp1 * sbet1); - /* Evaluate sig with tan(bet1) = tan(sig1) * cos(alp1). - * sig = 0 is nearest northward crossing of equator. - * With bet1 = 0, alp1 = pi/2, we have sig1 = 0 (equatorial line). - * With bet1 = pi/2, alp1 = -pi, sig1 = pi/2 - * With bet1 = -pi/2, alp1 = 0 , sig1 = -pi/2 - * Evaluate omg1 with tan(omg1) = sin(alp0) * tan(sig1). - * With alp0 in (0, pi/2], quadrants for sig and omg coincide. - * No atan2(0,0) ambiguity at poles since cbet1 = +epsilon. - * With alp0 = 0, omg1 = 0 for alp1 = 0, omg1 = pi for alp1 = pi. */ - l->ssig1 = sbet1; l->somg1 = l->salp0 * sbet1; - l->csig1 = l->comg1 = sbet1 != 0 || l->calp1 != 0 ? cbet1 * l->calp1 : 1; - norm2(&l->ssig1, &l->csig1); /* sig1 in (-pi, pi] */ - /* norm2(somg1, comg1); -- don't need to normalize! */ - - l->k2 = sq(l->calp0) * g->ep2; - eps = l->k2 / (2 * (1 + sqrt(1 + l->k2)) + l->k2); - - if (l->caps & CAP_C1) { - real s, c; - l->A1m1 = A1m1f(eps); - C1f(eps, l->C1a); - l->B11 = SinCosSeries(TRUE, l->ssig1, l->csig1, l->C1a, nC1); - s = sin(l->B11); c = cos(l->B11); - /* tau1 = sig1 + B11 */ - l->stau1 = l->ssig1 * c + l->csig1 * s; - l->ctau1 = l->csig1 * c - l->ssig1 * s; - /* Not necessary because C1pa reverts C1a - * B11 = -SinCosSeries(TRUE, stau1, ctau1, C1pa, nC1p); */ - } - - if (l->caps & CAP_C1p) - C1pf(eps, l->C1pa); - - if (l->caps & CAP_C2) { - l->A2m1 = A2m1f(eps); - C2f(eps, l->C2a); - l->B21 = SinCosSeries(TRUE, l->ssig1, l->csig1, l->C2a, nC2); - } - - if (l->caps & CAP_C3) { - C3f(g, eps, l->C3a); - l->A3c = -l->f * l->salp0 * A3f(g, eps); - l->B31 = SinCosSeries(TRUE, l->ssig1, l->csig1, l->C3a, nC3-1); - } - - if (l->caps & CAP_C4) { - C4f(g, eps, l->C4a); - /* Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0) */ - l->A4 = sq(l->a) * l->calp0 * l->salp0 * g->e2; - l->B41 = SinCosSeries(FALSE, l->ssig1, l->csig1, l->C4a, nC4); - } - - l->a13 = l->s13 = NaN; -} - -void geod_lineinit(struct geod_geodesicline* l, - const struct geod_geodesic* g, - real lat1, real lon1, real azi1, unsigned caps) { - real salp1, calp1; - azi1 = AngNormalize(azi1); - /* Guard against underflow in salp0 */ - sincosdx(AngRound(azi1), &salp1, &calp1); - geod_lineinit_int(l, g, lat1, lon1, azi1, salp1, calp1, caps); -} - -void geod_gendirectline(struct geod_geodesicline* l, - const struct geod_geodesic* g, - real lat1, real lon1, real azi1, - unsigned flags, real s12_a12, - unsigned caps) { - geod_lineinit(l, g, lat1, lon1, azi1, caps); - geod_gensetdistance(l, flags, s12_a12); -} - -void geod_directline(struct geod_geodesicline* l, - const struct geod_geodesic* g, - real lat1, real lon1, real azi1, - real s12, unsigned caps) { - geod_gendirectline(l, g, lat1, lon1, azi1, GEOD_NOFLAGS, s12, caps); -} - -real geod_genposition(const struct geod_geodesicline* l, - unsigned flags, real s12_a12, - real* plat2, real* plon2, real* pazi2, - real* ps12, real* pm12, - real* pM12, real* pM21, - real* pS12) { - real lat2 = 0, lon2 = 0, azi2 = 0, s12 = 0, - m12 = 0, M12 = 0, M21 = 0, S12 = 0; - /* Avoid warning about uninitialized B12. */ - real sig12, ssig12, csig12, B12 = 0, AB1 = 0; - real omg12, lam12, lon12; - real ssig2, csig2, sbet2, cbet2, somg2, comg2, salp2, calp2, dn2; - unsigned outmask = - (plat2 ? GEOD_LATITUDE : GEOD_NONE) | - (plon2 ? GEOD_LONGITUDE : GEOD_NONE) | - (pazi2 ? GEOD_AZIMUTH : GEOD_NONE) | - (ps12 ? GEOD_DISTANCE : GEOD_NONE) | - (pm12 ? GEOD_REDUCEDLENGTH : GEOD_NONE) | - (pM12 || pM21 ? GEOD_GEODESICSCALE : GEOD_NONE) | - (pS12 ? GEOD_AREA : GEOD_NONE); - - outmask &= l->caps & OUT_ALL; - if (!( TRUE /*Init()*/ && - (flags & GEOD_ARCMODE || (l->caps & (GEOD_DISTANCE_IN & OUT_ALL))) )) - /* Uninitialized or impossible distance calculation requested */ - return NaN; - - if (flags & GEOD_ARCMODE) { - /* Interpret s12_a12 as spherical arc length */ - sig12 = s12_a12 * degree; - sincosdx(s12_a12, &ssig12, &csig12); - } else { - /* Interpret s12_a12 as distance */ - real - tau12 = s12_a12 / (l->b * (1 + l->A1m1)), - s = sin(tau12), - c = cos(tau12); - /* tau2 = tau1 + tau12 */ - B12 = - SinCosSeries(TRUE, - l->stau1 * c + l->ctau1 * s, - l->ctau1 * c - l->stau1 * s, - l->C1pa, nC1p); - sig12 = tau12 - (B12 - l->B11); - ssig12 = sin(sig12); csig12 = cos(sig12); - if (fabs(l->f) > 0.01) { - /* Reverted distance series is inaccurate for |f| > 1/100, so correct - * sig12 with 1 Newton iteration. The following table shows the - * approximate maximum error for a = WGS_a() and various f relative to - * GeodesicExact. - * erri = the error in the inverse solution (nm) - * errd = the error in the direct solution (series only) (nm) - * errda = the error in the direct solution (series + 1 Newton) (nm) - * - * f erri errd errda - * -1/5 12e6 1.2e9 69e6 - * -1/10 123e3 12e6 765e3 - * -1/20 1110 108e3 7155 - * -1/50 18.63 200.9 27.12 - * -1/100 18.63 23.78 23.37 - * -1/150 18.63 21.05 20.26 - * 1/150 22.35 24.73 25.83 - * 1/100 22.35 25.03 25.31 - * 1/50 29.80 231.9 30.44 - * 1/20 5376 146e3 10e3 - * 1/10 829e3 22e6 1.5e6 - * 1/5 157e6 3.8e9 280e6 */ - real serr; - ssig2 = l->ssig1 * csig12 + l->csig1 * ssig12; - csig2 = l->csig1 * csig12 - l->ssig1 * ssig12; - B12 = SinCosSeries(TRUE, ssig2, csig2, l->C1a, nC1); - serr = (1 + l->A1m1) * (sig12 + (B12 - l->B11)) - s12_a12 / l->b; - sig12 = sig12 - serr / sqrt(1 + l->k2 * sq(ssig2)); - ssig12 = sin(sig12); csig12 = cos(sig12); - /* Update B12 below */ - } - } - - /* sig2 = sig1 + sig12 */ - ssig2 = l->ssig1 * csig12 + l->csig1 * ssig12; - csig2 = l->csig1 * csig12 - l->ssig1 * ssig12; - dn2 = sqrt(1 + l->k2 * sq(ssig2)); - if (outmask & (GEOD_DISTANCE | GEOD_REDUCEDLENGTH | GEOD_GEODESICSCALE)) { - if (flags & GEOD_ARCMODE || fabs(l->f) > 0.01) - B12 = SinCosSeries(TRUE, ssig2, csig2, l->C1a, nC1); - AB1 = (1 + l->A1m1) * (B12 - l->B11); - } - /* sin(bet2) = cos(alp0) * sin(sig2) */ - sbet2 = l->calp0 * ssig2; - /* Alt: cbet2 = hypot(csig2, salp0 * ssig2); */ - cbet2 = hypotx(l->salp0, l->calp0 * csig2); - if (cbet2 == 0) - /* I.e., salp0 = 0, csig2 = 0. Break the degeneracy in this case */ - cbet2 = csig2 = tiny; - /* tan(alp0) = cos(sig2)*tan(alp2) */ - salp2 = l->salp0; calp2 = l->calp0 * csig2; /* No need to normalize */ - - if (outmask & GEOD_DISTANCE) - s12 = (flags & GEOD_ARCMODE) ? - l->b * ((1 + l->A1m1) * sig12 + AB1) : - s12_a12; - - if (outmask & GEOD_LONGITUDE) { - real E = copysignx(1, l->salp0); /* east or west going? */ - /* tan(omg2) = sin(alp0) * tan(sig2) */ - somg2 = l->salp0 * ssig2; comg2 = csig2; /* No need to normalize */ - /* omg12 = omg2 - omg1 */ - omg12 = (flags & GEOD_LONG_UNROLL) - ? E * (sig12 - - (atan2( ssig2, csig2) - atan2( l->ssig1, l->csig1)) - + (atan2(E * somg2, comg2) - atan2(E * l->somg1, l->comg1))) - : atan2(somg2 * l->comg1 - comg2 * l->somg1, - comg2 * l->comg1 + somg2 * l->somg1); - lam12 = omg12 + l->A3c * - ( sig12 + (SinCosSeries(TRUE, ssig2, csig2, l->C3a, nC3-1) - - l->B31)); - lon12 = lam12 / degree; - lon2 = (flags & GEOD_LONG_UNROLL) ? l->lon1 + lon12 : - AngNormalize(AngNormalize(l->lon1) + AngNormalize(lon12)); - } - - if (outmask & GEOD_LATITUDE) - lat2 = atan2dx(sbet2, l->f1 * cbet2); - - if (outmask & GEOD_AZIMUTH) - azi2 = atan2dx(salp2, calp2); - - if (outmask & (GEOD_REDUCEDLENGTH | GEOD_GEODESICSCALE)) { - real - B22 = SinCosSeries(TRUE, ssig2, csig2, l->C2a, nC2), - AB2 = (1 + l->A2m1) * (B22 - l->B21), - J12 = (l->A1m1 - l->A2m1) * sig12 + (AB1 - AB2); - if (outmask & GEOD_REDUCEDLENGTH) - /* Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure - * accurate cancellation in the case of coincident points. */ - m12 = l->b * ((dn2 * (l->csig1 * ssig2) - l->dn1 * (l->ssig1 * csig2)) - - l->csig1 * csig2 * J12); - if (outmask & GEOD_GEODESICSCALE) { - real t = l->k2 * (ssig2 - l->ssig1) * (ssig2 + l->ssig1) / - (l->dn1 + dn2); - M12 = csig12 + (t * ssig2 - csig2 * J12) * l->ssig1 / l->dn1; - M21 = csig12 - (t * l->ssig1 - l->csig1 * J12) * ssig2 / dn2; - } - } - - if (outmask & GEOD_AREA) { - real - B42 = SinCosSeries(FALSE, ssig2, csig2, l->C4a, nC4); - real salp12, calp12; - if (l->calp0 == 0 || l->salp0 == 0) { - /* alp12 = alp2 - alp1, used in atan2 so no need to normalize */ - salp12 = salp2 * l->calp1 - calp2 * l->salp1; - calp12 = calp2 * l->calp1 + salp2 * l->salp1; - } else { - /* tan(alp) = tan(alp0) * sec(sig) - * tan(alp2-alp1) = (tan(alp2) -tan(alp1)) / (tan(alp2)*tan(alp1)+1) - * = calp0 * salp0 * (csig1-csig2) / (salp0^2 + calp0^2 * csig1*csig2) - * If csig12 > 0, write - * csig1 - csig2 = ssig12 * (csig1 * ssig12 / (1 + csig12) + ssig1) - * else - * csig1 - csig2 = csig1 * (1 - csig12) + ssig12 * ssig1 - * No need to normalize */ - salp12 = l->calp0 * l->salp0 * - (csig12 <= 0 ? l->csig1 * (1 - csig12) + ssig12 * l->ssig1 : - ssig12 * (l->csig1 * ssig12 / (1 + csig12) + l->ssig1)); - calp12 = sq(l->salp0) + sq(l->calp0) * l->csig1 * csig2; - } - S12 = l->c2 * atan2(salp12, calp12) + l->A4 * (B42 - l->B41); - } - - /* In the pattern - * - * if ((outmask & GEOD_XX) && pYY) - * *pYY = YY; - * - * the second check "&& pYY" is redundant. It's there to make the CLang - * static analyzer happy. - */ - if ((outmask & GEOD_LATITUDE) && plat2) - *plat2 = lat2; - if ((outmask & GEOD_LONGITUDE) && plon2) - *plon2 = lon2; - if ((outmask & GEOD_AZIMUTH) && pazi2) - *pazi2 = azi2; - if ((outmask & GEOD_DISTANCE) && ps12) - *ps12 = s12; - if ((outmask & GEOD_REDUCEDLENGTH) && pm12) - *pm12 = m12; - if (outmask & GEOD_GEODESICSCALE) { - if (pM12) *pM12 = M12; - if (pM21) *pM21 = M21; - } - if ((outmask & GEOD_AREA) && pS12) - *pS12 = S12; - - return (flags & GEOD_ARCMODE) ? s12_a12 : sig12 / degree; -} - -void geod_setdistance(struct geod_geodesicline* l, real s13) { - l->s13 = s13; - l->a13 = geod_genposition(l, GEOD_NOFLAGS, l->s13, nullptr, nullptr, nullptr, - nullptr, nullptr, nullptr, nullptr, nullptr); -} - -static void geod_setarc(struct geod_geodesicline* l, real a13) { - l->a13 = a13; l->s13 = NaN; - geod_genposition(l, GEOD_ARCMODE, l->a13, nullptr, nullptr, nullptr, &l->s13, - nullptr, nullptr, nullptr, nullptr); -} - -void geod_gensetdistance(struct geod_geodesicline* l, - unsigned flags, real s13_a13) { - (flags & GEOD_ARCMODE) ? - geod_setarc(l, s13_a13) : - geod_setdistance(l, s13_a13); -} - -void geod_position(const struct geod_geodesicline* l, real s12, - real* plat2, real* plon2, real* pazi2) { - geod_genposition(l, FALSE, s12, plat2, plon2, pazi2, - nullptr, nullptr, nullptr, nullptr, nullptr); -} - -real geod_gendirect(const struct geod_geodesic* g, - real lat1, real lon1, real azi1, - unsigned flags, real s12_a12, - real* plat2, real* plon2, real* pazi2, - real* ps12, real* pm12, real* pM12, real* pM21, - real* pS12) { - struct geod_geodesicline l; - unsigned outmask = - (plat2 ? GEOD_LATITUDE : GEOD_NONE) | - (plon2 ? GEOD_LONGITUDE : GEOD_NONE) | - (pazi2 ? GEOD_AZIMUTH : GEOD_NONE) | - (ps12 ? GEOD_DISTANCE : GEOD_NONE) | - (pm12 ? GEOD_REDUCEDLENGTH : GEOD_NONE) | - (pM12 || pM21 ? GEOD_GEODESICSCALE : GEOD_NONE) | - (pS12 ? GEOD_AREA : GEOD_NONE); - - geod_lineinit(&l, g, lat1, lon1, azi1, - /* Automatically supply GEOD_DISTANCE_IN if necessary */ - outmask | - ((flags & GEOD_ARCMODE) ? GEOD_NONE : GEOD_DISTANCE_IN)); - return geod_genposition(&l, flags, s12_a12, - plat2, plon2, pazi2, ps12, pm12, pM12, pM21, pS12); -} - -void geod_direct(const struct geod_geodesic* g, - real lat1, real lon1, real azi1, - real s12, - real* plat2, real* plon2, real* pazi2) { - geod_gendirect(g, lat1, lon1, azi1, GEOD_NOFLAGS, s12, plat2, plon2, pazi2, - nullptr, nullptr, nullptr, nullptr, nullptr); -} - -static real geod_geninverse_int(const struct geod_geodesic* g, - real lat1, real lon1, real lat2, real lon2, - real* ps12, - real* psalp1, real* pcalp1, - real* psalp2, real* pcalp2, - real* pm12, real* pM12, real* pM21, - real* pS12) { - real s12 = 0, m12 = 0, M12 = 0, M21 = 0, S12 = 0; - real lon12, lon12s; - int latsign, lonsign, swapp; - real sbet1, cbet1, sbet2, cbet2, s12x = 0, m12x = 0; - real dn1, dn2, lam12, slam12, clam12; - real a12 = 0, sig12, calp1 = 0, salp1 = 0, calp2 = 0, salp2 = 0; - real Ca[nC]; - boolx meridian; - /* somg12 > 1 marks that it needs to be calculated */ - real omg12 = 0, somg12 = 2, comg12 = 0; - - unsigned outmask = - (ps12 ? GEOD_DISTANCE : GEOD_NONE) | - (pm12 ? GEOD_REDUCEDLENGTH : GEOD_NONE) | - (pM12 || pM21 ? GEOD_GEODESICSCALE : GEOD_NONE) | - (pS12 ? GEOD_AREA : GEOD_NONE); - - outmask &= OUT_ALL; - /* Compute longitude difference (AngDiff does this carefully). Result is - * in [-180, 180] but -180 is only for west-going geodesics. 180 is for - * east-going and meridional geodesics. */ - lon12 = AngDiff(lon1, lon2, &lon12s); - /* Make longitude difference positive. */ - lonsign = lon12 >= 0 ? 1 : -1; - /* If very close to being on the same half-meridian, then make it so. */ - lon12 = lonsign * AngRound(lon12); - lon12s = AngRound((180 - lon12) - lonsign * lon12s); - lam12 = lon12 * degree; - if (lon12 > 90) { - sincosdx(lon12s, &slam12, &clam12); - clam12 = -clam12; - } else - sincosdx(lon12, &slam12, &clam12); - - /* If really close to the equator, treat as on equator. */ - lat1 = AngRound(LatFix(lat1)); - lat2 = AngRound(LatFix(lat2)); - /* Swap points so that point with higher (abs) latitude is point 1 - * If one latitude is a nan, then it becomes lat1. */ - swapp = fabs(lat1) < fabs(lat2) ? -1 : 1; - if (swapp < 0) { - lonsign *= -1; - swapx(&lat1, &lat2); - } - /* Make lat1 <= 0 */ - latsign = lat1 < 0 ? 1 : -1; - lat1 *= latsign; - lat2 *= latsign; - /* Now we have - * - * 0 <= lon12 <= 180 - * -90 <= lat1 <= 0 - * lat1 <= lat2 <= -lat1 - * - * longsign, swapp, latsign register the transformation to bring the - * coordinates to this canonical form. In all cases, 1 means no change was - * made. We make these transformations so that there are few cases to - * check, e.g., on verifying quadrants in atan2. In addition, this - * enforces some symmetries in the results returned. */ - - sincosdx(lat1, &sbet1, &cbet1); sbet1 *= g->f1; - /* Ensure cbet1 = +epsilon at poles */ - norm2(&sbet1, &cbet1); cbet1 = maxx(tiny, cbet1); - - sincosdx(lat2, &sbet2, &cbet2); sbet2 *= g->f1; - /* Ensure cbet2 = +epsilon at poles */ - norm2(&sbet2, &cbet2); cbet2 = maxx(tiny, cbet2); - - /* If cbet1 < -sbet1, then cbet2 - cbet1 is a sensitive measure of the - * |bet1| - |bet2|. Alternatively (cbet1 >= -sbet1), abs(sbet2) + sbet1 is - * a better measure. This logic is used in assigning calp2 in Lambda12. - * Sometimes these quantities vanish and in that case we force bet2 = +/- - * bet1 exactly. An example where is is necessary is the inverse problem - * 48.522876735459 0 -48.52287673545898293 179.599720456223079643 - * which failed with Visual Studio 10 (Release and Debug) */ - - if (cbet1 < -sbet1) { - if (cbet2 == cbet1) - sbet2 = sbet2 < 0 ? sbet1 : -sbet1; - } else { - if (fabs(sbet2) == -sbet1) - cbet2 = cbet1; - } - - dn1 = sqrt(1 + g->ep2 * sq(sbet1)); - dn2 = sqrt(1 + g->ep2 * sq(sbet2)); - - meridian = lat1 == -90 || slam12 == 0; - - if (meridian) { - - /* Endpoints are on a single full meridian, so the geodesic might lie on - * a meridian. */ - - real ssig1, csig1, ssig2, csig2; - calp1 = clam12; salp1 = slam12; /* Head to the target longitude */ - calp2 = 1; salp2 = 0; /* At the target we're heading north */ - - /* tan(bet) = tan(sig) * cos(alp) */ - ssig1 = sbet1; csig1 = calp1 * cbet1; - ssig2 = sbet2; csig2 = calp2 * cbet2; - - /* sig12 = sig2 - sig1 */ - sig12 = atan2(maxx((real)(0), csig1 * ssig2 - ssig1 * csig2), - csig1 * csig2 + ssig1 * ssig2); - Lengths(g, g->n, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, &s12x, &m12x, nullptr, - (outmask & GEOD_GEODESICSCALE) ? &M12 : nullptr, - (outmask & GEOD_GEODESICSCALE) ? &M21 : nullptr, - Ca); - /* Add the check for sig12 since zero length geodesics might yield m12 < - * 0. Test case was - * - * echo 20.001 0 20.001 0 | GeodSolve -i - * - * In fact, we will have sig12 > pi/2 for meridional geodesic which is - * not a shortest path. */ - if (sig12 < 1 || m12x >= 0) { - /* Need at least 2, to handle 90 0 90 180 */ - if (sig12 < 3 * tiny) - sig12 = m12x = s12x = 0; - m12x *= g->b; - s12x *= g->b; - a12 = sig12 / degree; - } else - /* m12 < 0, i.e., prolate and too close to anti-podal */ - meridian = FALSE; - } - - if (!meridian && - sbet1 == 0 && /* and sbet2 == 0 */ - /* Mimic the way Lambda12 works with calp1 = 0 */ - (g->f <= 0 || lon12s >= g->f * 180)) { - - /* Geodesic runs along equator */ - calp1 = calp2 = 0; salp1 = salp2 = 1; - s12x = g->a * lam12; - sig12 = omg12 = lam12 / g->f1; - m12x = g->b * sin(sig12); - if (outmask & GEOD_GEODESICSCALE) - M12 = M21 = cos(sig12); - a12 = lon12 / g->f1; - - } else if (!meridian) { - - /* Now point1 and point2 belong within a hemisphere bounded by a - * meridian and geodesic is neither meridional or equatorial. */ - - /* Figure a starting point for Newton's method */ - real dnm = 0; - sig12 = InverseStart(g, sbet1, cbet1, dn1, sbet2, cbet2, dn2, - lam12, slam12, clam12, - &salp1, &calp1, &salp2, &calp2, &dnm, - Ca); - - if (sig12 >= 0) { - /* Short lines (InverseStart sets salp2, calp2, dnm) */ - s12x = sig12 * g->b * dnm; - m12x = sq(dnm) * g->b * sin(sig12 / dnm); - if (outmask & GEOD_GEODESICSCALE) - M12 = M21 = cos(sig12 / dnm); - a12 = sig12 / degree; - omg12 = lam12 / (g->f1 * dnm); - } else { - - /* Newton's method. This is a straightforward solution of f(alp1) = - * lambda12(alp1) - lam12 = 0 with one wrinkle. f(alp) has exactly one - * root in the interval (0, pi) and its derivative is positive at the - * root. Thus f(alp) is positive for alp > alp1 and negative for alp < - * alp1. During the course of the iteration, a range (alp1a, alp1b) is - * maintained which brackets the root and with each evaluation of - * f(alp) the range is shrunk, if possible. Newton's method is - * restarted whenever the derivative of f is negative (because the new - * value of alp1 is then further from the solution) or if the new - * estimate of alp1 lies outside (0,pi); in this case, the new starting - * guess is taken to be (alp1a + alp1b) / 2. */ - real ssig1 = 0, csig1 = 0, ssig2 = 0, csig2 = 0, eps = 0, domg12 = 0; - unsigned numit = 0; - /* Bracketing range */ - real salp1a = tiny, calp1a = 1, salp1b = tiny, calp1b = -1; - boolx tripn = FALSE; - boolx tripb = FALSE; - for (; numit < maxit2; ++numit) { - /* the WGS84 test set: mean = 1.47, sd = 1.25, max = 16 - * WGS84 and random input: mean = 2.85, sd = 0.60 */ - real dv = 0, - v = Lambda12(g, sbet1, cbet1, dn1, sbet2, cbet2, dn2, salp1, calp1, - slam12, clam12, - &salp2, &calp2, &sig12, &ssig1, &csig1, &ssig2, &csig2, - &eps, &domg12, numit < maxit1, &dv, Ca); - /* 2 * tol0 is approximately 1 ulp for a number in [0, pi]. */ - /* Reversed test to allow escape with NaNs */ - if (tripb || !(fabs(v) >= (tripn ? 8 : 1) * tol0)) break; - /* Update bracketing values */ - if (v > 0 && (numit > maxit1 || calp1/salp1 > calp1b/salp1b)) - { salp1b = salp1; calp1b = calp1; } - else if (v < 0 && (numit > maxit1 || calp1/salp1 < calp1a/salp1a)) - { salp1a = salp1; calp1a = calp1; } - if (numit < maxit1 && dv > 0) { - real - dalp1 = -v/dv; - real - sdalp1 = sin(dalp1), cdalp1 = cos(dalp1), - nsalp1 = salp1 * cdalp1 + calp1 * sdalp1; - if (nsalp1 > 0 && fabs(dalp1) < pi) { - calp1 = calp1 * cdalp1 - salp1 * sdalp1; - salp1 = nsalp1; - norm2(&salp1, &calp1); - /* In some regimes we don't get quadratic convergence because - * slope -> 0. So use convergence conditions based on epsilon - * instead of sqrt(epsilon). */ - tripn = fabs(v) <= 16 * tol0; - continue; - } - } - /* Either dv was not positive or updated value was outside legal - * range. Use the midpoint of the bracket as the next estimate. - * This mechanism is not needed for the WGS84 ellipsoid, but it does - * catch problems with more eccentric ellipsoids. Its efficacy is - * such for the WGS84 test set with the starting guess set to alp1 = - * 90deg: - * the WGS84 test set: mean = 5.21, sd = 3.93, max = 24 - * WGS84 and random input: mean = 4.74, sd = 0.99 */ - salp1 = (salp1a + salp1b)/2; - calp1 = (calp1a + calp1b)/2; - norm2(&salp1, &calp1); - tripn = FALSE; - tripb = (fabs(salp1a - salp1) + (calp1a - calp1) < tolb || - fabs(salp1 - salp1b) + (calp1 - calp1b) < tolb); - } - Lengths(g, eps, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, &s12x, &m12x, nullptr, - (outmask & GEOD_GEODESICSCALE) ? &M12 : nullptr, - (outmask & GEOD_GEODESICSCALE) ? &M21 : nullptr, Ca); - m12x *= g->b; - s12x *= g->b; - a12 = sig12 / degree; - if (outmask & GEOD_AREA) { - /* omg12 = lam12 - domg12 */ - real sdomg12 = sin(domg12), cdomg12 = cos(domg12); - somg12 = slam12 * cdomg12 - clam12 * sdomg12; - comg12 = clam12 * cdomg12 + slam12 * sdomg12; - } - } - } - - if (outmask & GEOD_DISTANCE) - s12 = 0 + s12x; /* Convert -0 to 0 */ - - if (outmask & GEOD_REDUCEDLENGTH) - m12 = 0 + m12x; /* Convert -0 to 0 */ - - if (outmask & GEOD_AREA) { - real - /* From Lambda12: sin(alp1) * cos(bet1) = sin(alp0) */ - salp0 = salp1 * cbet1, - calp0 = hypotx(calp1, salp1 * sbet1); /* calp0 > 0 */ - real alp12; - if (calp0 != 0 && salp0 != 0) { - real - /* From Lambda12: tan(bet) = tan(sig) * cos(alp) */ - ssig1 = sbet1, csig1 = calp1 * cbet1, - ssig2 = sbet2, csig2 = calp2 * cbet2, - k2 = sq(calp0) * g->ep2, - eps = k2 / (2 * (1 + sqrt(1 + k2)) + k2), - /* Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0). */ - A4 = sq(g->a) * calp0 * salp0 * g->e2; - real B41, B42; - norm2(&ssig1, &csig1); - norm2(&ssig2, &csig2); - C4f(g, eps, Ca); - B41 = SinCosSeries(FALSE, ssig1, csig1, Ca, nC4); - B42 = SinCosSeries(FALSE, ssig2, csig2, Ca, nC4); - S12 = A4 * (B42 - B41); - } else - /* Avoid problems with indeterminate sig1, sig2 on equator */ - S12 = 0; - - if (!meridian && somg12 > 1) { - somg12 = sin(omg12); comg12 = cos(omg12); - } - - if (!meridian && - /* omg12 < 3/4 * pi */ - comg12 > -(real)(0.7071) && /* Long difference not too big */ - sbet2 - sbet1 < (real)(1.75)) { /* Lat difference not too big */ - /* Use tan(Gamma/2) = tan(omg12/2) - * * (tan(bet1/2)+tan(bet2/2))/(1+tan(bet1/2)*tan(bet2/2)) - * with tan(x/2) = sin(x)/(1+cos(x)) */ - real - domg12 = 1 + comg12, dbet1 = 1 + cbet1, dbet2 = 1 + cbet2; - alp12 = 2 * atan2( somg12 * ( sbet1 * dbet2 + sbet2 * dbet1 ), - domg12 * ( sbet1 * sbet2 + dbet1 * dbet2 ) ); - } else { - /* alp12 = alp2 - alp1, used in atan2 so no need to normalize */ - real - salp12 = salp2 * calp1 - calp2 * salp1, - calp12 = calp2 * calp1 + salp2 * salp1; - /* The right thing appears to happen if alp1 = +/-180 and alp2 = 0, viz - * salp12 = -0 and alp12 = -180. However this depends on the sign - * being attached to 0 correctly. The following ensures the correct - * behavior. */ - if (salp12 == 0 && calp12 < 0) { - salp12 = tiny * calp1; - calp12 = -1; - } - alp12 = atan2(salp12, calp12); - } - S12 += g->c2 * alp12; - S12 *= swapp * lonsign * latsign; - /* Convert -0 to 0 */ - S12 += 0; - } - - /* Convert calp, salp to azimuth accounting for lonsign, swapp, latsign. */ - if (swapp < 0) { - swapx(&salp1, &salp2); - swapx(&calp1, &calp2); - if (outmask & GEOD_GEODESICSCALE) - swapx(&M12, &M21); - } - - salp1 *= swapp * lonsign; calp1 *= swapp * latsign; - salp2 *= swapp * lonsign; calp2 *= swapp * latsign; - - if (psalp1) *psalp1 = salp1; - if (pcalp1) *pcalp1 = calp1; - if (psalp2) *psalp2 = salp2; - if (pcalp2) *pcalp2 = calp2; - - if (outmask & GEOD_DISTANCE) - *ps12 = s12; - if (outmask & GEOD_REDUCEDLENGTH) - *pm12 = m12; - if (outmask & GEOD_GEODESICSCALE) { - if (pM12) *pM12 = M12; - if (pM21) *pM21 = M21; - } - if (outmask & GEOD_AREA) - *pS12 = S12; - - /* Returned value in [0, 180] */ - return a12; -} - -real geod_geninverse(const struct geod_geodesic* g, - real lat1, real lon1, real lat2, real lon2, - real* ps12, real* pazi1, real* pazi2, - real* pm12, real* pM12, real* pM21, real* pS12) { - real salp1, calp1, salp2, calp2, - a12 = geod_geninverse_int(g, lat1, lon1, lat2, lon2, ps12, - &salp1, &calp1, &salp2, &calp2, - pm12, pM12, pM21, pS12); - if (pazi1) *pazi1 = atan2dx(salp1, calp1); - if (pazi2) *pazi2 = atan2dx(salp2, calp2); - return a12; -} - -void geod_inverseline(struct geod_geodesicline* l, - const struct geod_geodesic* g, - real lat1, real lon1, real lat2, real lon2, - unsigned caps) { - real salp1, calp1, - a12 = geod_geninverse_int(g, lat1, lon1, lat2, lon2, nullptr, - &salp1, &calp1, nullptr, nullptr, - nullptr, nullptr, nullptr, nullptr), - azi1 = atan2dx(salp1, calp1); - caps = caps ? caps : GEOD_DISTANCE_IN | GEOD_LONGITUDE; - /* Ensure that a12 can be converted to a distance */ - if (caps & (OUT_ALL & GEOD_DISTANCE_IN)) caps |= GEOD_DISTANCE; - geod_lineinit_int(l, g, lat1, lon1, azi1, salp1, calp1, caps); - geod_setarc(l, a12); -} - -void geod_inverse(const struct geod_geodesic* g, - real lat1, real lon1, real lat2, real lon2, - real* ps12, real* pazi1, real* pazi2) { - geod_geninverse(g, lat1, lon1, lat2, lon2, ps12, pazi1, pazi2, - nullptr, nullptr, nullptr, nullptr); -} - -real SinCosSeries(boolx sinp, real sinx, real cosx, const real c[], int n) { - /* Evaluate - * y = sinp ? sum(c[i] * sin( 2*i * x), i, 1, n) : - * sum(c[i] * cos((2*i+1) * x), i, 0, n-1) - * using Clenshaw summation. N.B. c[0] is unused for sin series - * Approx operation count = (n + 5) mult and (2 * n + 2) add */ - real ar, y0, y1; - c += (n + sinp); /* Point to one beyond last element */ - ar = 2 * (cosx - sinx) * (cosx + sinx); /* 2 * cos(2 * x) */ - y0 = (n & 1) ? *--c : 0; y1 = 0; /* accumulators for sum */ - /* Now n is even */ - n /= 2; - while (n--) { - /* Unroll loop x 2, so accumulators return to their original role */ - y1 = ar * y0 - y1 + *--c; - y0 = ar * y1 - y0 + *--c; - } - return sinp - ? 2 * sinx * cosx * y0 /* sin(2 * x) * y0 */ - : cosx * (y0 - y1); /* cos(x) * (y0 - y1) */ -} - -void Lengths(const struct geod_geodesic* g, - real eps, real sig12, - real ssig1, real csig1, real dn1, - real ssig2, real csig2, real dn2, - real cbet1, real cbet2, - real* ps12b, real* pm12b, real* pm0, - real* pM12, real* pM21, - /* Scratch area of the right size */ - real Ca[]) { - real m0 = 0, J12 = 0, A1 = 0, A2 = 0; - real Cb[nC]; - - /* Return m12b = (reduced length)/b; also calculate s12b = distance/b, - * and m0 = coefficient of secular term in expression for reduced length. */ - boolx redlp = pm12b || pm0 || pM12 || pM21; - if (ps12b || redlp) { - A1 = A1m1f(eps); - C1f(eps, Ca); - if (redlp) { - A2 = A2m1f(eps); - C2f(eps, Cb); - m0 = A1 - A2; - A2 = 1 + A2; - } - A1 = 1 + A1; - } - if (ps12b) { - real B1 = SinCosSeries(TRUE, ssig2, csig2, Ca, nC1) - - SinCosSeries(TRUE, ssig1, csig1, Ca, nC1); - /* Missing a factor of b */ - *ps12b = A1 * (sig12 + B1); - if (redlp) { - real B2 = SinCosSeries(TRUE, ssig2, csig2, Cb, nC2) - - SinCosSeries(TRUE, ssig1, csig1, Cb, nC2); - J12 = m0 * sig12 + (A1 * B1 - A2 * B2); - } - } else if (redlp) { - /* Assume here that nC1 >= nC2 */ - int l; - for (l = 1; l <= nC2; ++l) - Cb[l] = A1 * Ca[l] - A2 * Cb[l]; - J12 = m0 * sig12 + (SinCosSeries(TRUE, ssig2, csig2, Cb, nC2) - - SinCosSeries(TRUE, ssig1, csig1, Cb, nC2)); - } - if (pm0) *pm0 = m0; - if (pm12b) - /* Missing a factor of b. - * Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure - * accurate cancellation in the case of coincident points. */ - *pm12b = dn2 * (csig1 * ssig2) - dn1 * (ssig1 * csig2) - - csig1 * csig2 * J12; - if (pM12 || pM21) { - real csig12 = csig1 * csig2 + ssig1 * ssig2; - real t = g->ep2 * (cbet1 - cbet2) * (cbet1 + cbet2) / (dn1 + dn2); - if (pM12) - *pM12 = csig12 + (t * ssig2 - csig2 * J12) * ssig1 / dn1; - if (pM21) - *pM21 = csig12 - (t * ssig1 - csig1 * J12) * ssig2 / dn2; - } -} - -real Astroid(real x, real y) { - /* Solve k^4+2*k^3-(x^2+y^2-1)*k^2-2*y^2*k-y^2 = 0 for positive root k. - * This solution is adapted from Geocentric::Reverse. */ - real k; - real - p = sq(x), - q = sq(y), - r = (p + q - 1) / 6; - if ( !(q == 0 && r <= 0) ) { - real - /* Avoid possible division by zero when r = 0 by multiplying equations - * for s and t by r^3 and r, resp. */ - S = p * q / 4, /* S = r^3 * s */ - r2 = sq(r), - r3 = r * r2, - /* The discriminant of the quadratic equation for T3. This is zero on - * the evolute curve p^(1/3)+q^(1/3) = 1 */ - disc = S * (S + 2 * r3); - real u = r; - real v, uv, w; - if (disc >= 0) { - real T3 = S + r3, T; - /* Pick the sign on the sqrt to maximize abs(T3). This minimizes loss - * of precision due to cancellation. The result is unchanged because - * of the way the T is used in definition of u. */ - T3 += T3 < 0 ? -sqrt(disc) : sqrt(disc); /* T3 = (r * t)^3 */ - /* N.B. cbrtx always returns the real root. cbrtx(-8) = -2. */ - T = cbrtx(T3); /* T = r * t */ - /* T can be zero; but then r2 / T -> 0. */ - u += T + (T != 0 ? r2 / T : 0); - } else { - /* T is complex, but the way u is defined the result is real. */ - real ang = atan2(sqrt(-disc), -(S + r3)); - /* There are three possible cube roots. We choose the root which - * avoids cancellation. Note that disc < 0 implies that r < 0. */ - u += 2 * r * cos(ang / 3); - } - v = sqrt(sq(u) + q); /* guaranteed positive */ - /* Avoid loss of accuracy when u < 0. */ - uv = u < 0 ? q / (v - u) : u + v; /* u+v, guaranteed positive */ - w = (uv - q) / (2 * v); /* positive? */ - /* Rearrange expression for k to avoid loss of accuracy due to - * subtraction. Division by 0 not possible because uv > 0, w >= 0. */ - k = uv / (sqrt(uv + sq(w)) + w); /* guaranteed positive */ - } else { /* q == 0 && r <= 0 */ - /* y = 0 with |x| <= 1. Handle this case directly. - * for y small, positive root is k = abs(y)/sqrt(1-x^2) */ - k = 0; - } - return k; -} - -real InverseStart(const struct geod_geodesic* g, - real sbet1, real cbet1, real dn1, - real sbet2, real cbet2, real dn2, - real lam12, real slam12, real clam12, - real* psalp1, real* pcalp1, - /* Only updated if return val >= 0 */ - real* psalp2, real* pcalp2, - /* Only updated for short lines */ - real* pdnm, - /* Scratch area of the right size */ - real Ca[]) { - real salp1 = 0, calp1 = 0, salp2 = 0, calp2 = 0, dnm = 0; - - /* Return a starting point for Newton's method in salp1 and calp1 (function - * value is -1). If Newton's method doesn't need to be used, return also - * salp2 and calp2 and function value is sig12. */ - real - sig12 = -1, /* Return value */ - /* bet12 = bet2 - bet1 in [0, pi); bet12a = bet2 + bet1 in (-pi, 0] */ - sbet12 = sbet2 * cbet1 - cbet2 * sbet1, - cbet12 = cbet2 * cbet1 + sbet2 * sbet1; - real sbet12a; - boolx shortline = cbet12 >= 0 && sbet12 < (real)(0.5) && - cbet2 * lam12 < (real)(0.5); - real somg12, comg12, ssig12, csig12; - sbet12a = sbet2 * cbet1 + cbet2 * sbet1; - if (shortline) { - real sbetm2 = sq(sbet1 + sbet2), omg12; - /* sin((bet1+bet2)/2)^2 - * = (sbet1 + sbet2)^2 / ((sbet1 + sbet2)^2 + (cbet1 + cbet2)^2) */ - sbetm2 /= sbetm2 + sq(cbet1 + cbet2); - dnm = sqrt(1 + g->ep2 * sbetm2); - omg12 = lam12 / (g->f1 * dnm); - somg12 = sin(omg12); comg12 = cos(omg12); - } else { - somg12 = slam12; comg12 = clam12; - } - - salp1 = cbet2 * somg12; - calp1 = comg12 >= 0 ? - sbet12 + cbet2 * sbet1 * sq(somg12) / (1 + comg12) : - sbet12a - cbet2 * sbet1 * sq(somg12) / (1 - comg12); - - ssig12 = hypotx(salp1, calp1); - csig12 = sbet1 * sbet2 + cbet1 * cbet2 * comg12; - - if (shortline && ssig12 < g->etol2) { - /* really short lines */ - salp2 = cbet1 * somg12; - calp2 = sbet12 - cbet1 * sbet2 * - (comg12 >= 0 ? sq(somg12) / (1 + comg12) : 1 - comg12); - norm2(&salp2, &calp2); - /* Set return value */ - sig12 = atan2(ssig12, csig12); - } else if (fabs(g->n) > (real)(0.1) || /* No astroid calc if too eccentric */ - csig12 >= 0 || - ssig12 >= 6 * fabs(g->n) * pi * sq(cbet1)) { - /* Nothing to do, zeroth order spherical approximation is OK */ - } else { - /* Scale lam12 and bet2 to x, y coordinate system where antipodal point - * is at origin and singular point is at y = 0, x = -1. */ - real y, lamscale, betscale; - /* Volatile declaration needed to fix inverse case - * 56.320923501171 0 -56.320923501171 179.664747671772880215 - * which otherwise fails with g++ 4.4.4 x86 -O3 */ - volatile real x; - real lam12x = atan2(-slam12, -clam12); /* lam12 - pi */ - if (g->f >= 0) { /* In fact f == 0 does not get here */ - /* x = dlong, y = dlat */ - { - real - k2 = sq(sbet1) * g->ep2, - eps = k2 / (2 * (1 + sqrt(1 + k2)) + k2); - lamscale = g->f * cbet1 * A3f(g, eps) * pi; - } - betscale = lamscale * cbet1; - - x = lam12x / lamscale; - y = sbet12a / betscale; - } else { /* f < 0 */ - /* x = dlat, y = dlong */ - real - cbet12a = cbet2 * cbet1 - sbet2 * sbet1, - bet12a = atan2(sbet12a, cbet12a); - real m12b, m0; - /* In the case of lon12 = 180, this repeats a calculation made in - * Inverse. */ - Lengths(g, g->n, pi + bet12a, - sbet1, -cbet1, dn1, sbet2, cbet2, dn2, - cbet1, cbet2, nullptr, &m12b, &m0, nullptr, nullptr, Ca); - x = -1 + m12b / (cbet1 * cbet2 * m0 * pi); - betscale = x < -(real)(0.01) ? sbet12a / x : - -g->f * sq(cbet1) * pi; - lamscale = betscale / cbet1; - y = lam12x / lamscale; - } - - if (y > -tol1 && x > -1 - xthresh) { - /* strip near cut */ - if (g->f >= 0) { - salp1 = minx((real)(1), -(real)(x)); calp1 = - sqrt(1 - sq(salp1)); - } else { - calp1 = maxx((real)(x > -tol1 ? 0 : -1), (real)(x)); - salp1 = sqrt(1 - sq(calp1)); - } - } else { - /* Estimate alp1, by solving the astroid problem. - * - * Could estimate alpha1 = theta + pi/2, directly, i.e., - * calp1 = y/k; salp1 = -x/(1+k); for f >= 0 - * calp1 = x/(1+k); salp1 = -y/k; for f < 0 (need to check) - * - * However, it's better to estimate omg12 from astroid and use - * spherical formula to compute alp1. This reduces the mean number of - * Newton iterations for astroid cases from 2.24 (min 0, max 6) to 2.12 - * (min 0 max 5). The changes in the number of iterations are as - * follows: - * - * change percent - * 1 5 - * 0 78 - * -1 16 - * -2 0.6 - * -3 0.04 - * -4 0.002 - * - * The histogram of iterations is (m = number of iterations estimating - * alp1 directly, n = number of iterations estimating via omg12, total - * number of trials = 148605): - * - * iter m n - * 0 148 186 - * 1 13046 13845 - * 2 93315 102225 - * 3 36189 32341 - * 4 5396 7 - * 5 455 1 - * 6 56 0 - * - * Because omg12 is near pi, estimate work with omg12a = pi - omg12 */ - real k = Astroid(x, y); - real - omg12a = lamscale * ( g->f >= 0 ? -x * k/(1 + k) : -y * (1 + k)/k ); - somg12 = sin(omg12a); comg12 = -cos(omg12a); - /* Update spherical estimate of alp1 using omg12 instead of lam12 */ - salp1 = cbet2 * somg12; - calp1 = sbet12a - cbet2 * sbet1 * sq(somg12) / (1 - comg12); - } - } - /* Sanity check on starting guess. Backwards check allows NaN through. */ - if (!(salp1 <= 0)) - norm2(&salp1, &calp1); - else { - salp1 = 1; calp1 = 0; - } - - *psalp1 = salp1; - *pcalp1 = calp1; - if (shortline) - *pdnm = dnm; - if (sig12 >= 0) { - *psalp2 = salp2; - *pcalp2 = calp2; - } - return sig12; -} - -real Lambda12(const struct geod_geodesic* g, - real sbet1, real cbet1, real dn1, - real sbet2, real cbet2, real dn2, - real salp1, real calp1, - real slam120, real clam120, - real* psalp2, real* pcalp2, - real* psig12, - real* pssig1, real* pcsig1, - real* pssig2, real* pcsig2, - real* peps, - real* pdomg12, - boolx diffp, real* pdlam12, - /* Scratch area of the right size */ - real Ca[]) { - real salp2 = 0, calp2 = 0, sig12 = 0, - ssig1 = 0, csig1 = 0, ssig2 = 0, csig2 = 0, eps = 0, - domg12 = 0, dlam12 = 0; - real salp0, calp0; - real somg1, comg1, somg2, comg2, somg12, comg12, lam12; - real B312, eta, k2; - - if (sbet1 == 0 && calp1 == 0) - /* Break degeneracy of equatorial line. This case has already been - * handled. */ - calp1 = -tiny; - - /* sin(alp1) * cos(bet1) = sin(alp0) */ - salp0 = salp1 * cbet1; - calp0 = hypotx(calp1, salp1 * sbet1); /* calp0 > 0 */ - - /* tan(bet1) = tan(sig1) * cos(alp1) - * tan(omg1) = sin(alp0) * tan(sig1) = tan(omg1)=tan(alp1)*sin(bet1) */ - ssig1 = sbet1; somg1 = salp0 * sbet1; - csig1 = comg1 = calp1 * cbet1; - norm2(&ssig1, &csig1); - /* norm2(&somg1, &comg1); -- don't need to normalize! */ - - /* Enforce symmetries in the case abs(bet2) = -bet1. Need to be careful - * about this case, since this can yield singularities in the Newton - * iteration. - * sin(alp2) * cos(bet2) = sin(alp0) */ - salp2 = cbet2 != cbet1 ? salp0 / cbet2 : salp1; - /* calp2 = sqrt(1 - sq(salp2)) - * = sqrt(sq(calp0) - sq(sbet2)) / cbet2 - * and subst for calp0 and rearrange to give (choose positive sqrt - * to give alp2 in [0, pi/2]). */ - calp2 = cbet2 != cbet1 || fabs(sbet2) != -sbet1 ? - sqrt(sq(calp1 * cbet1) + - (cbet1 < -sbet1 ? - (cbet2 - cbet1) * (cbet1 + cbet2) : - (sbet1 - sbet2) * (sbet1 + sbet2))) / cbet2 : - fabs(calp1); - /* tan(bet2) = tan(sig2) * cos(alp2) - * tan(omg2) = sin(alp0) * tan(sig2). */ - ssig2 = sbet2; somg2 = salp0 * sbet2; - csig2 = comg2 = calp2 * cbet2; - norm2(&ssig2, &csig2); - /* norm2(&somg2, &comg2); -- don't need to normalize! */ - - /* sig12 = sig2 - sig1, limit to [0, pi] */ - sig12 = atan2(maxx((real)(0), csig1 * ssig2 - ssig1 * csig2), - csig1 * csig2 + ssig1 * ssig2); - - /* omg12 = omg2 - omg1, limit to [0, pi] */ - somg12 = maxx((real)(0), comg1 * somg2 - somg1 * comg2); - comg12 = comg1 * comg2 + somg1 * somg2; - /* eta = omg12 - lam120 */ - eta = atan2(somg12 * clam120 - comg12 * slam120, - comg12 * clam120 + somg12 * slam120); - k2 = sq(calp0) * g->ep2; - eps = k2 / (2 * (1 + sqrt(1 + k2)) + k2); - C3f(g, eps, Ca); - B312 = (SinCosSeries(TRUE, ssig2, csig2, Ca, nC3-1) - - SinCosSeries(TRUE, ssig1, csig1, Ca, nC3-1)); - domg12 = -g->f * A3f(g, eps) * salp0 * (sig12 + B312); - lam12 = eta + domg12; - - if (diffp) { - if (calp2 == 0) - dlam12 = - 2 * g->f1 * dn1 / sbet1; - else { - Lengths(g, eps, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2, - cbet1, cbet2, nullptr, &dlam12, nullptr, nullptr, nullptr, Ca); - dlam12 *= g->f1 / (calp2 * cbet2); - } - } - - *psalp2 = salp2; - *pcalp2 = calp2; - *psig12 = sig12; - *pssig1 = ssig1; - *pcsig1 = csig1; - *pssig2 = ssig2; - *pcsig2 = csig2; - *peps = eps; - *pdomg12 = domg12; - if (diffp) - *pdlam12 = dlam12; - - return lam12; -} - -real A3f(const struct geod_geodesic* g, real eps) { - /* Evaluate A3 */ - return polyval(nA3 - 1, g->A3x, eps); -} - -void C3f(const struct geod_geodesic* g, real eps, real c[]) { - /* Evaluate C3 coeffs - * Elements c[1] through c[nC3 - 1] are set */ - real mult = 1; - int o = 0, l; - for (l = 1; l < nC3; ++l) { /* l is index of C3[l] */ - int m = nC3 - l - 1; /* order of polynomial in eps */ - mult *= eps; - c[l] = mult * polyval(m, g->C3x + o, eps); - o += m + 1; - } -} - -void C4f(const struct geod_geodesic* g, real eps, real c[]) { - /* Evaluate C4 coeffs - * Elements c[0] through c[nC4 - 1] are set */ - real mult = 1; - int o = 0, l; - for (l = 0; l < nC4; ++l) { /* l is index of C4[l] */ - int m = nC4 - l - 1; /* order of polynomial in eps */ - c[l] = mult * polyval(m, g->C4x + o, eps); - o += m + 1; - mult *= eps; - } -} - -/* The scale factor A1-1 = mean value of (d/dsigma)I1 - 1 */ -real A1m1f(real eps) { - static const real coeff[] = { - /* (1-eps)*A1-1, polynomial in eps2 of order 3 */ - 1, 4, 64, 0, 256, - }; - int m = nA1/2; - real t = polyval(m, coeff, sq(eps)) / coeff[m + 1]; - return (t + eps) / (1 - eps); -} - -/* The coefficients C1[l] in the Fourier expansion of B1 */ -void C1f(real eps, real c[]) { - static const real coeff[] = { - /* C1[1]/eps^1, polynomial in eps2 of order 2 */ - -1, 6, -16, 32, - /* C1[2]/eps^2, polynomial in eps2 of order 2 */ - -9, 64, -128, 2048, - /* C1[3]/eps^3, polynomial in eps2 of order 1 */ - 9, -16, 768, - /* C1[4]/eps^4, polynomial in eps2 of order 1 */ - 3, -5, 512, - /* C1[5]/eps^5, polynomial in eps2 of order 0 */ - -7, 1280, - /* C1[6]/eps^6, polynomial in eps2 of order 0 */ - -7, 2048, - }; - real - eps2 = sq(eps), - d = eps; - int o = 0, l; - for (l = 1; l <= nC1; ++l) { /* l is index of C1p[l] */ - int m = (nC1 - l) / 2; /* order of polynomial in eps^2 */ - c[l] = d * polyval(m, coeff + o, eps2) / coeff[o + m + 1]; - o += m + 2; - d *= eps; - } -} - -/* The coefficients C1p[l] in the Fourier expansion of B1p */ -void C1pf(real eps, real c[]) { - static const real coeff[] = { - /* C1p[1]/eps^1, polynomial in eps2 of order 2 */ - 205, -432, 768, 1536, - /* C1p[2]/eps^2, polynomial in eps2 of order 2 */ - 4005, -4736, 3840, 12288, - /* C1p[3]/eps^3, polynomial in eps2 of order 1 */ - -225, 116, 384, - /* C1p[4]/eps^4, polynomial in eps2 of order 1 */ - -7173, 2695, 7680, - /* C1p[5]/eps^5, polynomial in eps2 of order 0 */ - 3467, 7680, - /* C1p[6]/eps^6, polynomial in eps2 of order 0 */ - 38081, 61440, - }; - real - eps2 = sq(eps), - d = eps; - int o = 0, l; - for (l = 1; l <= nC1p; ++l) { /* l is index of C1p[l] */ - int m = (nC1p - l) / 2; /* order of polynomial in eps^2 */ - c[l] = d * polyval(m, coeff + o, eps2) / coeff[o + m + 1]; - o += m + 2; - d *= eps; - } -} - -/* The scale factor A2-1 = mean value of (d/dsigma)I2 - 1 */ -real A2m1f(real eps) { - static const real coeff[] = { - /* (eps+1)*A2-1, polynomial in eps2 of order 3 */ - -11, -28, -192, 0, 256, - }; - int m = nA2/2; - real t = polyval(m, coeff, sq(eps)) / coeff[m + 1]; - return (t - eps) / (1 + eps); -} - -/* The coefficients C2[l] in the Fourier expansion of B2 */ -void C2f(real eps, real c[]) { - static const real coeff[] = { - /* C2[1]/eps^1, polynomial in eps2 of order 2 */ - 1, 2, 16, 32, - /* C2[2]/eps^2, polynomial in eps2 of order 2 */ - 35, 64, 384, 2048, - /* C2[3]/eps^3, polynomial in eps2 of order 1 */ - 15, 80, 768, - /* C2[4]/eps^4, polynomial in eps2 of order 1 */ - 7, 35, 512, - /* C2[5]/eps^5, polynomial in eps2 of order 0 */ - 63, 1280, - /* C2[6]/eps^6, polynomial in eps2 of order 0 */ - 77, 2048, - }; - real - eps2 = sq(eps), - d = eps; - int o = 0, l; - for (l = 1; l <= nC2; ++l) { /* l is index of C2[l] */ - int m = (nC2 - l) / 2; /* order of polynomial in eps^2 */ - c[l] = d * polyval(m, coeff + o, eps2) / coeff[o + m + 1]; - o += m + 2; - d *= eps; - } -} - -/* The scale factor A3 = mean value of (d/dsigma)I3 */ -void A3coeff(struct geod_geodesic* g) { - static const real coeff[] = { - /* A3, coeff of eps^5, polynomial in n of order 0 */ - -3, 128, - /* A3, coeff of eps^4, polynomial in n of order 1 */ - -2, -3, 64, - /* A3, coeff of eps^3, polynomial in n of order 2 */ - -1, -3, -1, 16, - /* A3, coeff of eps^2, polynomial in n of order 2 */ - 3, -1, -2, 8, - /* A3, coeff of eps^1, polynomial in n of order 1 */ - 1, -1, 2, - /* A3, coeff of eps^0, polynomial in n of order 0 */ - 1, 1, - }; - int o = 0, k = 0, j; - for (j = nA3 - 1; j >= 0; --j) { /* coeff of eps^j */ - int m = nA3 - j - 1 < j ? nA3 - j - 1 : j; /* order of polynomial in n */ - g->A3x[k++] = polyval(m, coeff + o, g->n) / coeff[o + m + 1]; - o += m + 2; - } -} - -/* The coefficients C3[l] in the Fourier expansion of B3 */ -void C3coeff(struct geod_geodesic* g) { - static const real coeff[] = { - /* C3[1], coeff of eps^5, polynomial in n of order 0 */ - 3, 128, - /* C3[1], coeff of eps^4, polynomial in n of order 1 */ - 2, 5, 128, - /* C3[1], coeff of eps^3, polynomial in n of order 2 */ - -1, 3, 3, 64, - /* C3[1], coeff of eps^2, polynomial in n of order 2 */ - -1, 0, 1, 8, - /* C3[1], coeff of eps^1, polynomial in n of order 1 */ - -1, 1, 4, - /* C3[2], coeff of eps^5, polynomial in n of order 0 */ - 5, 256, - /* C3[2], coeff of eps^4, polynomial in n of order 1 */ - 1, 3, 128, - /* C3[2], coeff of eps^3, polynomial in n of order 2 */ - -3, -2, 3, 64, - /* C3[2], coeff of eps^2, polynomial in n of order 2 */ - 1, -3, 2, 32, - /* C3[3], coeff of eps^5, polynomial in n of order 0 */ - 7, 512, - /* C3[3], coeff of eps^4, polynomial in n of order 1 */ - -10, 9, 384, - /* C3[3], coeff of eps^3, polynomial in n of order 2 */ - 5, -9, 5, 192, - /* C3[4], coeff of eps^5, polynomial in n of order 0 */ - 7, 512, - /* C3[4], coeff of eps^4, polynomial in n of order 1 */ - -14, 7, 512, - /* C3[5], coeff of eps^5, polynomial in n of order 0 */ - 21, 2560, - }; - int o = 0, k = 0, l, j; - for (l = 1; l < nC3; ++l) { /* l is index of C3[l] */ - for (j = nC3 - 1; j >= l; --j) { /* coeff of eps^j */ - int m = nC3 - j - 1 < j ? nC3 - j - 1 : j; /* order of polynomial in n */ - g->C3x[k++] = polyval(m, coeff + o, g->n) / coeff[o + m + 1]; - o += m + 2; - } - } -} - -/* The coefficients C4[l] in the Fourier expansion of I4 */ -void C4coeff(struct geod_geodesic* g) { - static const real coeff[] = { - /* C4[0], coeff of eps^5, polynomial in n of order 0 */ - 97, 15015, - /* C4[0], coeff of eps^4, polynomial in n of order 1 */ - 1088, 156, 45045, - /* C4[0], coeff of eps^3, polynomial in n of order 2 */ - -224, -4784, 1573, 45045, - /* C4[0], coeff of eps^2, polynomial in n of order 3 */ - -10656, 14144, -4576, -858, 45045, - /* C4[0], coeff of eps^1, polynomial in n of order 4 */ - 64, 624, -4576, 6864, -3003, 15015, - /* C4[0], coeff of eps^0, polynomial in n of order 5 */ - 100, 208, 572, 3432, -12012, 30030, 45045, - /* C4[1], coeff of eps^5, polynomial in n of order 0 */ - 1, 9009, - /* C4[1], coeff of eps^4, polynomial in n of order 1 */ - -2944, 468, 135135, - /* C4[1], coeff of eps^3, polynomial in n of order 2 */ - 5792, 1040, -1287, 135135, - /* C4[1], coeff of eps^2, polynomial in n of order 3 */ - 5952, -11648, 9152, -2574, 135135, - /* C4[1], coeff of eps^1, polynomial in n of order 4 */ - -64, -624, 4576, -6864, 3003, 135135, - /* C4[2], coeff of eps^5, polynomial in n of order 0 */ - 8, 10725, - /* C4[2], coeff of eps^4, polynomial in n of order 1 */ - 1856, -936, 225225, - /* C4[2], coeff of eps^3, polynomial in n of order 2 */ - -8448, 4992, -1144, 225225, - /* C4[2], coeff of eps^2, polynomial in n of order 3 */ - -1440, 4160, -4576, 1716, 225225, - /* C4[3], coeff of eps^5, polynomial in n of order 0 */ - -136, 63063, - /* C4[3], coeff of eps^4, polynomial in n of order 1 */ - 1024, -208, 105105, - /* C4[3], coeff of eps^3, polynomial in n of order 2 */ - 3584, -3328, 1144, 315315, - /* C4[4], coeff of eps^5, polynomial in n of order 0 */ - -128, 135135, - /* C4[4], coeff of eps^4, polynomial in n of order 1 */ - -2560, 832, 405405, - /* C4[5], coeff of eps^5, polynomial in n of order 0 */ - 128, 99099, - }; - int o = 0, k = 0, l, j; - for (l = 0; l < nC4; ++l) { /* l is index of C4[l] */ - for (j = nC4 - 1; j >= l; --j) { /* coeff of eps^j */ - int m = nC4 - j - 1; /* order of polynomial in n */ - g->C4x[k++] = polyval(m, coeff + o, g->n) / coeff[o + m + 1]; - o += m + 2; - } - } -} - -int transit(real lon1, real lon2) { - real lon12; - /* Return 1 or -1 if crossing prime meridian in east or west direction. - * Otherwise return zero. */ - /* Compute lon12 the same way as Geodesic::Inverse. */ - lon1 = AngNormalize(lon1); - lon2 = AngNormalize(lon2); - lon12 = AngDiff(lon1, lon2, nullptr); - return lon1 <= 0 && lon2 > 0 && lon12 > 0 ? 1 : - (lon2 <= 0 && lon1 > 0 && lon12 < 0 ? -1 : 0); -} - -int transitdirect(real lon1, real lon2) { - /* Compute exactly the parity of - int(ceil(lon2 / 360)) - int(ceil(lon1 / 360)) */ - lon1 = remainderx(lon1, (real)(720)); - lon2 = remainderx(lon2, (real)(720)); - return ( (lon2 <= 0 && lon2 > -360 ? 1 : 0) - - (lon1 <= 0 && lon1 > -360 ? 1 : 0) ); -} - -void accini(real s[]) { - /* Initialize an accumulator; this is an array with two elements. */ - s[0] = s[1] = 0; -} - -void acccopy(const real s[], real t[]) { - /* Copy an accumulator; t = s. */ - t[0] = s[0]; t[1] = s[1]; -} - -void accadd(real s[], real y) { - /* Add y to an accumulator. */ - real u, z = sumx(y, s[1], &u); - s[0] = sumx(z, s[0], &s[1]); - if (s[0] == 0) - s[0] = u; - else - s[1] = s[1] + u; -} - -real accsum(const real s[], real y) { - /* Return accumulator + y (but don't add to accumulator). */ - real t[2]; - acccopy(s, t); - accadd(t, y); - return t[0]; -} - -void accneg(real s[]) { - /* Negate an accumulator. */ - s[0] = -s[0]; s[1] = -s[1]; -} - -void accrem(real s[], real y) { - /* Reduce to [-y/2, y/2]. */ - s[0] = remainderx(s[0], y); - accadd(s, (real)(0)); -} - -void geod_polygon_init(struct geod_polygon* p, boolx polylinep) { - p->polyline = (polylinep != 0); - geod_polygon_clear(p); -} - -void geod_polygon_clear(struct geod_polygon* p) { - p->lat0 = p->lon0 = p->lat = p->lon = NaN; - accini(p->P); - accini(p->A); - p->num = p->crossings = 0; -} - -void geod_polygon_addpoint(const struct geod_geodesic* g, - struct geod_polygon* p, - real lat, real lon) { - lon = AngNormalize(lon); - if (p->num == 0) { - p->lat0 = p->lat = lat; - p->lon0 = p->lon = lon; - } else { - real s12, S12 = 0; /* Initialize S12 to stop Visual Studio warning */ - geod_geninverse(g, p->lat, p->lon, lat, lon, - &s12, nullptr, nullptr, nullptr, nullptr, nullptr, - p->polyline ? nullptr : &S12); - accadd(p->P, s12); - if (!p->polyline) { - accadd(p->A, S12); - p->crossings += transit(p->lon, lon); - } - p->lat = lat; p->lon = lon; - } - ++p->num; -} - -void geod_polygon_addedge(const struct geod_geodesic* g, - struct geod_polygon* p, - real azi, real s) { - if (p->num) { /* Do nothing is num is zero */ - /* Initialize S12 to stop Visual Studio warning. Initialization of lat and - * lon is to make CLang static analyzer happy. */ - real lat = 0, lon = 0, S12 = 0; - geod_gendirect(g, p->lat, p->lon, azi, GEOD_LONG_UNROLL, s, - &lat, &lon, nullptr, - nullptr, nullptr, nullptr, nullptr, - p->polyline ? nullptr : &S12); - accadd(p->P, s); - if (!p->polyline) { - accadd(p->A, S12); - p->crossings += transitdirect(p->lon, lon); - } - p->lat = lat; p->lon = lon; - ++p->num; - } -} - -unsigned geod_polygon_compute(const struct geod_geodesic* g, - const struct geod_polygon* p, - boolx reverse, boolx sign, - real* pA, real* pP) { - real s12, S12, t[2]; - if (p->num < 2) { - if (pP) *pP = 0; - if (!p->polyline && pA) *pA = 0; - return p->num; - } - if (p->polyline) { - if (pP) *pP = p->P[0]; - return p->num; - } - geod_geninverse(g, p->lat, p->lon, p->lat0, p->lon0, - &s12, nullptr, nullptr, nullptr, nullptr, nullptr, &S12); - if (pP) *pP = accsum(p->P, s12); - acccopy(p->A, t); - accadd(t, S12); - if (pA) *pA = areareduceA(t, 4 * pi * g->c2, - p->crossings + transit(p->lon, p->lon0), - reverse, sign); - return p->num; -} - -unsigned geod_polygon_testpoint(const struct geod_geodesic* g, - const struct geod_polygon* p, - real lat, real lon, - boolx reverse, boolx sign, - real* pA, real* pP) { - real perimeter, tempsum; - int crossings, i; - unsigned num = p->num + 1; - if (num == 1) { - if (pP) *pP = 0; - if (!p->polyline && pA) *pA = 0; - return num; - } - perimeter = p->P[0]; - tempsum = p->polyline ? 0 : p->A[0]; - crossings = p->crossings; - for (i = 0; i < (p->polyline ? 1 : 2); ++i) { - real s12, S12 = 0; /* Initialize S12 to stop Visual Studio warning */ - geod_geninverse(g, - i == 0 ? p->lat : lat, i == 0 ? p->lon : lon, - i != 0 ? p->lat0 : lat, i != 0 ? p->lon0 : lon, - &s12, nullptr, nullptr, nullptr, nullptr, nullptr, - p->polyline ? nullptr : &S12); - perimeter += s12; - if (!p->polyline) { - tempsum += S12; - crossings += transit(i == 0 ? p->lon : lon, - i != 0 ? p->lon0 : lon); - } - } - - if (pP) *pP = perimeter; - if (p->polyline) - return num; - - if (pA) *pA = areareduceB(tempsum, 4 * pi * g->c2, crossings, reverse, sign); - return num; -} - -unsigned geod_polygon_testedge(const struct geod_geodesic* g, - const struct geod_polygon* p, - real azi, real s, - boolx reverse, boolx sign, - real* pA, real* pP) { - real perimeter, tempsum; - int crossings; - unsigned num = p->num + 1; - if (num == 1) { /* we don't have a starting point! */ - if (pP) *pP = NaN; - if (!p->polyline && pA) *pA = NaN; - return 0; - } - perimeter = p->P[0] + s; - if (p->polyline) { - if (pP) *pP = perimeter; - return num; - } - - tempsum = p->A[0]; - crossings = p->crossings; - { - /* Initialization of lat, lon, and S12 is to make CLang static analyzer - * happy. */ - real lat = 0, lon = 0, s12, S12 = 0; - geod_gendirect(g, p->lat, p->lon, azi, GEOD_LONG_UNROLL, s, - &lat, &lon, nullptr, - nullptr, nullptr, nullptr, nullptr, &S12); - tempsum += S12; - crossings += transitdirect(p->lon, lon); - geod_geninverse(g, lat, lon, p->lat0, p->lon0, - &s12, nullptr, nullptr, nullptr, nullptr, nullptr, &S12); - perimeter += s12; - tempsum += S12; - crossings += transit(lon, p->lon0); - } - - if (pP) *pP = perimeter; - if (pA) *pA = areareduceB(tempsum, 4 * pi * g->c2, crossings, reverse, sign); - return num; -} - -void geod_polygonarea(const struct geod_geodesic* g, - real lats[], real lons[], int n, - real* pA, real* pP) { - int i; - struct geod_polygon p; - geod_polygon_init(&p, FALSE); - for (i = 0; i < n; ++i) - geod_polygon_addpoint(g, &p, lats[i], lons[i]); - geod_polygon_compute(g, &p, FALSE, TRUE, pA, pP); -} - -real areareduceA(real area[], real area0, - int crossings, boolx reverse, boolx sign) { - accrem(area, area0); - if (crossings & 1) - accadd(area, (area[0] < 0 ? 1 : -1) * area0/2); - /* area is with the clockwise sense. If !reverse convert to - * counter-clockwise convention. */ - if (!reverse) - accneg(area); - /* If sign put area in (-area0/2, area0/2], else put area in [0, area0) */ - if (sign) { - if (area[0] > area0/2) - accadd(area, -area0); - else if (area[0] <= -area0/2) - accadd(area, +area0); - } else { - if (area[0] >= area0) - accadd(area, -area0); - else if (area[0] < 0) - accadd(area, +area0); - } - return 0 + area[0]; -} - -real areareduceB(real area, real area0, - int crossings, boolx reverse, boolx sign) { - area = remainderx(area, area0); - if (crossings & 1) - area += (area < 0 ? 1 : -1) * area0/2; - /* area is with the clockwise sense. If !reverse convert to - * counter-clockwise convention. */ - if (!reverse) - area *= -1; - /* If sign put area in (-area0/2, area0/2], else put area in [0, area0) */ - if (sign) { - if (area > area0/2) - area -= area0; - else if (area <= -area0/2) - area += area0; - } else { - if (area >= area0) - area -= area0; - else if (area < 0) - area += area0; - } - return 0 + area; -} - -/** @endcond */ diff --git a/libs/GeographicLib-1.50.1/legacy/C/geodesic.h b/libs/GeographicLib-1.50.1/legacy/C/geodesic.h deleted file mode 100644 index 4c13a241ef8b16bafb6b113546402350e5509baa..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/C/geodesic.h +++ /dev/null @@ -1,933 +0,0 @@ -/** - * \file geodesic.h - * \brief API for the geodesic routines in C - * - * This an implementation in C of the geodesic algorithms described in - * - C. F. F. Karney, - * - * Algorithms for geodesics, - * J. Geodesy 87, 43--55 (2013); - * DOI: - * 10.1007/s00190-012-0578-z; - * addenda: - * geod-addenda.html. - * . - * The principal advantages of these algorithms over previous ones (e.g., - * Vincenty, 1975) are - * - accurate to round off for |f| < 1/50; - * - the solution of the inverse problem is always found; - * - differential and integral properties of geodesics are computed. - * - * The shortest path between two points on the ellipsoid at (\e lat1, \e - * lon1) and (\e lat2, \e lon2) is called the geodesic. Its length is - * \e s12 and the geodesic from point 1 to point 2 has forward azimuths - * \e azi1 and \e azi2 at the two end points. - * - * Traditionally two geodesic problems are considered: - * - the direct problem -- given \e lat1, \e lon1, \e s12, and \e azi1, - * determine \e lat2, \e lon2, and \e azi2. This is solved by the function - * geod_direct(). - * - the inverse problem -- given \e lat1, \e lon1, and \e lat2, \e lon2, - * determine \e s12, \e azi1, and \e azi2. This is solved by the function - * geod_inverse(). - * - * The ellipsoid is specified by its equatorial radius \e a (typically in - * meters) and flattening \e f. The routines are accurate to round off with - * double precision arithmetic provided that |f| < 1/50; for the - * WGS84 ellipsoid, the errors are less than 15 nanometers. (Reasonably - * accurate results are obtained for |f| < 1/5.) For a prolate - * ellipsoid, specify \e f < 0. - * - * The routines also calculate several other quantities of interest - * - \e S12 is the area between the geodesic from point 1 to point 2 and the - * equator; i.e., it is the area, measured counter-clockwise, of the - * quadrilateral with corners (\e lat1,\e lon1), (0,\e lon1), (0,\e lon2), - * and (\e lat2,\e lon2). - * - \e m12, the reduced length of the geodesic is defined such that if - * the initial azimuth is perturbed by \e dazi1 (radians) then the - * second point is displaced by \e m12 \e dazi1 in the direction - * perpendicular to the geodesic. On a curved surface the reduced - * length obeys a symmetry relation, \e m12 + \e m21 = 0. On a flat - * surface, we have \e m12 = \e s12. - * - \e M12 and \e M21 are geodesic scales. If two geodesics are - * parallel at point 1 and separated by a small distance \e dt, then - * they are separated by a distance \e M12 \e dt at point 2. \e M21 - * is defined similarly (with the geodesics being parallel to one - * another at point 2). On a flat surface, we have \e M12 = \e M21 - * = 1. - * - \e a12 is the arc length on the auxiliary sphere. This is a - * construct for converting the problem to one in spherical - * trigonometry. \e a12 is measured in degrees. The spherical arc - * length from one equator crossing to the next is always 180°. - * - * If points 1, 2, and 3 lie on a single geodesic, then the following - * addition rules hold: - * - \e s13 = \e s12 + \e s23 - * - \e a13 = \e a12 + \e a23 - * - \e S13 = \e S12 + \e S23 - * - \e m13 = \e m12 \e M23 + \e m23 \e M21 - * - \e M13 = \e M12 \e M23 − (1 − \e M12 \e M21) \e - * m23 / \e m12 - * - \e M31 = \e M32 \e M21 − (1 − \e M23 \e M32) \e - * m12 / \e m23 - * - * The shortest distance returned by the solution of the inverse problem is - * (obviously) uniquely defined. However, in a few special cases there are - * multiple azimuths which yield the same shortest distance. Here is a - * catalog of those cases: - * - \e lat1 = −\e lat2 (with neither point at a pole). If \e azi1 = \e - * azi2, the geodesic is unique. Otherwise there are two geodesics and the - * second one is obtained by setting [\e azi1, \e azi2] → [\e azi2, \e - * azi1], [\e M12, \e M21] → [\e M21, \e M12], \e S12 → −\e - * S12. (This occurs when the longitude difference is near ±180° - * for oblate ellipsoids.) - * - \e lon2 = \e lon1 ± 180° (with neither point at a pole). If \e - * azi1 = 0° or ±180°, the geodesic is unique. Otherwise - * there are two geodesics and the second one is obtained by setting [\e - * azi1, \e azi2] → [−\e azi1, −\e azi2], \e S12 → - * −\e S12. (This occurs when \e lat2 is near −\e lat1 for - * prolate ellipsoids.) - * - Points 1 and 2 at opposite poles. There are infinitely many geodesics - * which can be generated by setting [\e azi1, \e azi2] → [\e azi1, \e - * azi2] + [\e d, −\e d], for arbitrary \e d. (For spheres, this - * prescription applies when points 1 and 2 are antipodal.) - * - \e s12 = 0 (coincident points). There are infinitely many geodesics which - * can be generated by setting [\e azi1, \e azi2] → [\e azi1, \e azi2] + - * [\e d, \e d], for arbitrary \e d. - * - * These routines are a simple transcription of the corresponding C++ classes - * in GeographicLib. The - * "class data" is represented by the structs geod_geodesic, geod_geodesicline, - * geod_polygon and pointers to these objects are passed as initial arguments - * to the member functions. Most of the internal comments have been retained. - * However, in the process of transcription some documentation has been lost - * and the documentation for the C++ classes, GeographicLib::Geodesic, - * GeographicLib::GeodesicLine, and GeographicLib::PolygonAreaT, should be - * consulted. The C++ code remains the "reference implementation". Think - * twice about restructuring the internals of the C code since this may make - * porting fixes from the C++ code more difficult. - * - * Copyright (c) Charles Karney (2012-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - * - * This library was distributed with - * GeographicLib 1.50. - **********************************************************************/ - -#if !defined(GEODESIC_H) -#define GEODESIC_H 1 - -/** - * The major version of the geodesic library. (This tracks the version of - * GeographicLib.) - **********************************************************************/ -#define GEODESIC_VERSION_MAJOR 1 -/** - * The minor version of the geodesic library. (This tracks the version of - * GeographicLib.) - **********************************************************************/ -#define GEODESIC_VERSION_MINOR 50 -/** - * The patch level of the geodesic library. (This tracks the version of - * GeographicLib.) - **********************************************************************/ -#define GEODESIC_VERSION_PATCH 0 - -/** - * Pack the version components into a single integer. Users should not rely on - * this particular packing of the components of the version number; see the - * documentation for GEODESIC_VERSION, below. - **********************************************************************/ -#define GEODESIC_VERSION_NUM(a,b,c) ((((a) * 10000 + (b)) * 100) + (c)) - -/** - * The version of the geodesic library as a single integer, packed as MMmmmmpp - * where MM is the major version, mmmm is the minor version, and pp is the - * patch level. Users should not rely on this particular packing of the - * components of the version number. Instead they should use a test such as - * @code{.c} - #if GEODESIC_VERSION >= GEODESIC_VERSION_NUM(1,40,0) - ... - #endif - * @endcode - **********************************************************************/ -#define GEODESIC_VERSION \ - GEODESIC_VERSION_NUM(GEODESIC_VERSION_MAJOR, \ - GEODESIC_VERSION_MINOR, \ - GEODESIC_VERSION_PATCH) - -#if !defined(GEOD_DLL) -#if defined(_MSC_VER) -#define GEOD_DLL __declspec(dllexport) -#elif defined(__GNUC__) -#define GEOD_DLL __attribute__ ((visibility("default"))) -#else -#define GEOD_DLL -#endif -#endif - -#if defined(PROJ_RENAME_SYMBOLS) -#include "proj_symbol_rename.h" -#endif - -#if defined(__cplusplus) -extern "C" { -#endif - - /** - * The struct containing information about the ellipsoid. This must be - * initialized by geod_init() before use. - **********************************************************************/ - struct geod_geodesic { - double a; /**< the equatorial radius */ - double f; /**< the flattening */ - /**< @cond SKIP */ - double f1, e2, ep2, n, b, c2, etol2; - double A3x[6], C3x[15], C4x[21]; - /**< @endcond */ - }; - - /** - * The struct containing information about a single geodesic. This must be - * initialized by geod_lineinit(), geod_directline(), geod_gendirectline(), - * or geod_inverseline() before use. - **********************************************************************/ - struct geod_geodesicline { - double lat1; /**< the starting latitude */ - double lon1; /**< the starting longitude */ - double azi1; /**< the starting azimuth */ - double a; /**< the equatorial radius */ - double f; /**< the flattening */ - double salp1; /**< sine of \e azi1 */ - double calp1; /**< cosine of \e azi1 */ - double a13; /**< arc length to reference point */ - double s13; /**< distance to reference point */ - /**< @cond SKIP */ - double b, c2, f1, salp0, calp0, k2, - ssig1, csig1, dn1, stau1, ctau1, somg1, comg1, - A1m1, A2m1, A3c, B11, B21, B31, A4, B41; - double C1a[6+1], C1pa[6+1], C2a[6+1], C3a[6], C4a[6]; - /**< @endcond */ - unsigned caps; /**< the capabilities */ - }; - - /** - * The struct for accumulating information about a geodesic polygon. This is - * used for computing the perimeter and area of a polygon. This must be - * initialized by geod_polygon_init() before use. - **********************************************************************/ - struct geod_polygon { - double lat; /**< the current latitude */ - double lon; /**< the current longitude */ - /**< @cond SKIP */ - double lat0; - double lon0; - double A[2]; - double P[2]; - int polyline; - int crossings; - /**< @endcond */ - unsigned num; /**< the number of points so far */ - }; - - /** - * Initialize a geod_geodesic object. - * - * @param[out] g a pointer to the object to be initialized. - * @param[in] a the equatorial radius (meters). - * @param[in] f the flattening. - **********************************************************************/ - void GEOD_DLL geod_init(struct geod_geodesic* g, double a, double f); - - /** - * Solve the direct geodesic problem. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance from point 1 to point 2 (meters); it can be - * negative. - * @param[out] plat2 pointer to the latitude of point 2 (degrees). - * @param[out] plon2 pointer to the longitude of point 2 (degrees). - * @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees). - * - * \e g must have been initialized with a call to geod_init(). \e lat1 - * should be in the range [−90°, 90°]. The values of \e lon2 - * and \e azi2 returned are in the range [−180°, 180°]. Any of - * the "return" arguments \e plat2, etc., may be replaced by 0, if you do not - * need some quantities computed. - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), and - * taking the limit ε → 0+. An arc length greater that 180° - * signifies a geodesic which is not a shortest path. (For a prolate - * ellipsoid, an additional condition is necessary for a shortest path: the - * longitudinal extent must not exceed of 180°.) - * - * Example, determine the point 10000 km NE of JFK: - @code{.c} - struct geod_geodesic g; - double lat, lon; - geod_init(&g, 6378137, 1/298.257223563); - geod_direct(&g, 40.64, -73.78, 45.0, 10e6, &lat, &lon, 0); - printf("%.5f %.5f\n", lat, lon); - @endcode - **********************************************************************/ - void GEOD_DLL geod_direct(const struct geod_geodesic* g, - double lat1, double lon1, double azi1, double s12, - double* plat2, double* plon2, double* pazi2); - - /** - * The general direct geodesic problem. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] flags bitor'ed combination of geod_flags(); \e flags & - * GEOD_ARCMODE determines the meaning of \e s12_a12 and \e flags & - * GEOD_LONG_UNROLL "unrolls" \e lon2. - * @param[in] s12_a12 if \e flags & GEOD_ARCMODE is 0, this is the distance - * from point 1 to point 2 (meters); otherwise it is the arc length - * from point 1 to point 2 (degrees); it can be negative. - * @param[out] plat2 pointer to the latitude of point 2 (degrees). - * @param[out] plon2 pointer to the longitude of point 2 (degrees). - * @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees). - * @param[out] ps12 pointer to the distance from point 1 to point 2 - * (meters). - * @param[out] pm12 pointer to the reduced length of geodesic (meters). - * @param[out] pM12 pointer to the geodesic scale of point 2 relative to - * point 1 (dimensionless). - * @param[out] pM21 pointer to the geodesic scale of point 1 relative to - * point 2 (dimensionless). - * @param[out] pS12 pointer to the area under the geodesic - * (meters2). - * @return \e a12 arc length from point 1 to point 2 (degrees). - * - * \e g must have been initialized with a call to geod_init(). \e lat1 - * should be in the range [−90°, 90°]. The function value \e - * a12 equals \e s12_a12 if \e flags & GEOD_ARCMODE. Any of the "return" - * arguments, \e plat2, etc., may be replaced by 0, if you do not need some - * quantities computed. - * - * With \e flags & GEOD_LONG_UNROLL bit set, the longitude is "unrolled" so - * that the quantity \e lon2 − \e lon1 indicates how many times and in - * what sense the geodesic encircles the ellipsoid. - **********************************************************************/ - double GEOD_DLL geod_gendirect(const struct geod_geodesic* g, - double lat1, double lon1, double azi1, - unsigned flags, double s12_a12, - double* plat2, double* plon2, double* pazi2, - double* ps12, double* pm12, - double* pM12, double* pM21, - double* pS12); - - /** - * Solve the inverse geodesic problem. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] ps12 pointer to the distance from point 1 to point 2 - * (meters). - * @param[out] pazi1 pointer to the azimuth at point 1 (degrees). - * @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees). - * - * \e g must have been initialized with a call to geod_init(). \e lat1 and - * \e lat2 should be in the range [−90°, 90°]. The values of - * \e azi1 and \e azi2 returned are in the range [−180°, 180°]. - * Any of the "return" arguments, \e ps12, etc., may be replaced by 0, if you - * do not need some quantities computed. - * - * If either point is at a pole, the azimuth is defined by keeping the - * longitude fixed, writing \e lat = ±(90° − ε), and - * taking the limit ε → 0+. - * - * The solution to the inverse problem is found using Newton's method. If - * this fails to converge (this is very unlikely in geodetic applications - * but does occur for very eccentric ellipsoids), then the bisection method - * is used to refine the solution. - * - * Example, determine the distance between JFK and Singapore Changi Airport: - @code{.c} - struct geod_geodesic g; - double s12; - geod_init(&g, 6378137, 1/298.257223563); - geod_inverse(&g, 40.64, -73.78, 1.36, 103.99, &s12, 0, 0); - printf("%.3f\n", s12); - @endcode - **********************************************************************/ - void GEOD_DLL geod_inverse(const struct geod_geodesic* g, - double lat1, double lon1, - double lat2, double lon2, - double* ps12, double* pazi1, double* pazi2); - - /** - * The general inverse geodesic calculation. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[out] ps12 pointer to the distance from point 1 to point 2 - * (meters). - * @param[out] pazi1 pointer to the azimuth at point 1 (degrees). - * @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees). - * @param[out] pm12 pointer to the reduced length of geodesic (meters). - * @param[out] pM12 pointer to the geodesic scale of point 2 relative to - * point 1 (dimensionless). - * @param[out] pM21 pointer to the geodesic scale of point 1 relative to - * point 2 (dimensionless). - * @param[out] pS12 pointer to the area under the geodesic - * (meters2). - * @return \e a12 arc length from point 1 to point 2 (degrees). - * - * \e g must have been initialized with a call to geod_init(). \e lat1 and - * \e lat2 should be in the range [−90°, 90°]. Any of the - * "return" arguments \e ps12, etc., may be replaced by 0, if you do not need - * some quantities computed. - **********************************************************************/ - double GEOD_DLL geod_geninverse(const struct geod_geodesic* g, - double lat1, double lon1, - double lat2, double lon2, - double* ps12, double* pazi1, double* pazi2, - double* pm12, double* pM12, double* pM21, - double* pS12); - - /** - * Initialize a geod_geodesicline object. - * - * @param[out] l a pointer to the object to be initialized. - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] caps bitor'ed combination of geod_mask() values specifying the - * capabilities the geod_geodesicline object should possess, i.e., which - * quantities can be returned in calls to geod_position() and - * geod_genposition(). - * - * \e g must have been initialized with a call to geod_init(). \e lat1 - * should be in the range [−90°, 90°]. - * - * The geod_mask values are [see geod_mask()]: - * - \e caps |= GEOD_LATITUDE for the latitude \e lat2; this is - * added automatically, - * - \e caps |= GEOD_LONGITUDE for the latitude \e lon2, - * - \e caps |= GEOD_AZIMUTH for the latitude \e azi2; this is - * added automatically, - * - \e caps |= GEOD_DISTANCE for the distance \e s12, - * - \e caps |= GEOD_REDUCEDLENGTH for the reduced length \e m12, - * - \e caps |= GEOD_GEODESICSCALE for the geodesic scales \e M12 - * and \e M21, - * - \e caps |= GEOD_AREA for the area \e S12, - * - \e caps |= GEOD_DISTANCE_IN permits the length of the - * geodesic to be given in terms of \e s12; without this capability the - * length can only be specified in terms of arc length. - * . - * A value of \e caps = 0 is treated as GEOD_LATITUDE | GEOD_LONGITUDE | - * GEOD_AZIMUTH | GEOD_DISTANCE_IN (to support the solution of the "standard" - * direct problem). - * - * When initialized by this function, point 3 is undefined (l->s13 = l->a13 = - * NaN). - **********************************************************************/ - void GEOD_DLL geod_lineinit(struct geod_geodesicline* l, - const struct geod_geodesic* g, - double lat1, double lon1, double azi1, - unsigned caps); - - /** - * Initialize a geod_geodesicline object in terms of the direct geodesic - * problem. - * - * @param[out] l a pointer to the object to be initialized. - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] s12 distance from point 1 to point 2 (meters); it can be - * negative. - * @param[in] caps bitor'ed combination of geod_mask() values specifying the - * capabilities the geod_geodesicline object should possess, i.e., which - * quantities can be returned in calls to geod_position() and - * geod_genposition(). - * - * This function sets point 3 of the geod_geodesicline to correspond to point - * 2 of the direct geodesic problem. See geod_lineinit() for more - * information. - **********************************************************************/ - void GEOD_DLL geod_directline(struct geod_geodesicline* l, - const struct geod_geodesic* g, - double lat1, double lon1, - double azi1, double s12, - unsigned caps); - - /** - * Initialize a geod_geodesicline object in terms of the direct geodesic - * problem spacified in terms of either distance or arc length. - * - * @param[out] l a pointer to the object to be initialized. - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] azi1 azimuth at point 1 (degrees). - * @param[in] flags either GEOD_NOFLAGS or GEOD_ARCMODE to determining the - * meaning of the \e s12_a12. - * @param[in] s12_a12 if \e flags = GEOD_NOFLAGS, this is the distance - * from point 1 to point 2 (meters); if \e flags = GEOD_ARCMODE, it is - * the arc length from point 1 to point 2 (degrees); it can be - * negative. - * @param[in] caps bitor'ed combination of geod_mask() values specifying the - * capabilities the geod_geodesicline object should possess, i.e., which - * quantities can be returned in calls to geod_position() and - * geod_genposition(). - * - * This function sets point 3 of the geod_geodesicline to correspond to point - * 2 of the direct geodesic problem. See geod_lineinit() for more - * information. - **********************************************************************/ - void GEOD_DLL geod_gendirectline(struct geod_geodesicline* l, - const struct geod_geodesic* g, - double lat1, double lon1, double azi1, - unsigned flags, double s12_a12, - unsigned caps); - - /** - * Initialize a geod_geodesicline object in terms of the inverse geodesic - * problem. - * - * @param[out] l a pointer to the object to be initialized. - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lat1 latitude of point 1 (degrees). - * @param[in] lon1 longitude of point 1 (degrees). - * @param[in] lat2 latitude of point 2 (degrees). - * @param[in] lon2 longitude of point 2 (degrees). - * @param[in] caps bitor'ed combination of geod_mask() values specifying the - * capabilities the geod_geodesicline object should possess, i.e., which - * quantities can be returned in calls to geod_position() and - * geod_genposition(). - * - * This function sets point 3 of the geod_geodesicline to correspond to point - * 2 of the inverse geodesic problem. See geod_lineinit() for more - * information. - **********************************************************************/ - void GEOD_DLL geod_inverseline(struct geod_geodesicline* l, - const struct geod_geodesic* g, - double lat1, double lon1, - double lat2, double lon2, - unsigned caps); - - /** - * Compute the position along a geod_geodesicline. - * - * @param[in] l a pointer to the geod_geodesicline object specifying the - * geodesic line. - * @param[in] s12 distance from point 1 to point 2 (meters); it can be - * negative. - * @param[out] plat2 pointer to the latitude of point 2 (degrees). - * @param[out] plon2 pointer to the longitude of point 2 (degrees); requires - * that \e l was initialized with \e caps |= GEOD_LONGITUDE. - * @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees). - * - * \e l must have been initialized with a call, e.g., to geod_lineinit(), - * with \e caps |= GEOD_DISTANCE_IN (or \e caps = 0). The values of \e lon2 - * and \e azi2 returned are in the range [−180°, 180°]. Any of - * the "return" arguments \e plat2, etc., may be replaced by 0, if you do not - * need some quantities computed. - * - * Example, compute way points between JFK and Singapore Changi Airport - * the "obvious" way using geod_direct(): - @code{.c} - struct geod_geodesic g; - double s12, azi1, lat[101],lon[101]; - int i; - geod_init(&g, 6378137, 1/298.257223563); - geod_inverse(&g, 40.64, -73.78, 1.36, 103.99, &s12, &azi1, 0); - for (i = 0; i < 101; ++i) { - geod_direct(&g, 40.64, -73.78, azi1, i * s12 * 0.01, lat + i, lon + i, 0); - printf("%.5f %.5f\n", lat[i], lon[i]); - } - @endcode - * A faster way using geod_position(): - @code{.c} - struct geod_geodesic g; - struct geod_geodesicline l; - double lat[101],lon[101]; - int i; - geod_init(&g, 6378137, 1/298.257223563); - geod_inverseline(&l, &g, 40.64, -73.78, 1.36, 103.99, 0); - for (i = 0; i <= 100; ++i) { - geod_position(&l, i * l.s13 * 0.01, lat + i, lon + i, 0); - printf("%.5f %.5f\n", lat[i], lon[i]); - } - @endcode - **********************************************************************/ - void GEOD_DLL geod_position(const struct geod_geodesicline* l, double s12, - double* plat2, double* plon2, double* pazi2); - - /** - * The general position function. - * - * @param[in] l a pointer to the geod_geodesicline object specifying the - * geodesic line. - * @param[in] flags bitor'ed combination of geod_flags(); \e flags & - * GEOD_ARCMODE determines the meaning of \e s12_a12 and \e flags & - * GEOD_LONG_UNROLL "unrolls" \e lon2; if \e flags & GEOD_ARCMODE is 0, - * then \e l must have been initialized with \e caps |= GEOD_DISTANCE_IN. - * @param[in] s12_a12 if \e flags & GEOD_ARCMODE is 0, this is the - * distance from point 1 to point 2 (meters); otherwise it is the - * arc length from point 1 to point 2 (degrees); it can be - * negative. - * @param[out] plat2 pointer to the latitude of point 2 (degrees). - * @param[out] plon2 pointer to the longitude of point 2 (degrees); requires - * that \e l was initialized with \e caps |= GEOD_LONGITUDE. - * @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees). - * @param[out] ps12 pointer to the distance from point 1 to point 2 - * (meters); requires that \e l was initialized with \e caps |= - * GEOD_DISTANCE. - * @param[out] pm12 pointer to the reduced length of geodesic (meters); - * requires that \e l was initialized with \e caps |= GEOD_REDUCEDLENGTH. - * @param[out] pM12 pointer to the geodesic scale of point 2 relative to - * point 1 (dimensionless); requires that \e l was initialized with \e caps - * |= GEOD_GEODESICSCALE. - * @param[out] pM21 pointer to the geodesic scale of point 1 relative to - * point 2 (dimensionless); requires that \e l was initialized with \e caps - * |= GEOD_GEODESICSCALE. - * @param[out] pS12 pointer to the area under the geodesic - * (meters2); requires that \e l was initialized with \e caps |= - * GEOD_AREA. - * @return \e a12 arc length from point 1 to point 2 (degrees). - * - * \e l must have been initialized with a call to geod_lineinit() with \e - * caps |= GEOD_DISTANCE_IN. The value \e azi2 returned is in the range - * [−180°, 180°]. Any of the "return" arguments \e plat2, - * etc., may be replaced by 0, if you do not need some quantities - * computed. Requesting a value which \e l is not capable of computing - * is not an error; the corresponding argument will not be altered. - * - * With \e flags & GEOD_LONG_UNROLL bit set, the longitude is "unrolled" so - * that the quantity \e lon2 − \e lon1 indicates how many times and in - * what sense the geodesic encircles the ellipsoid. - * - * Example, compute way points between JFK and Singapore Changi Airport using - * geod_genposition(). In this example, the points are evenly space in arc - * length (and so only approximately equally spaced in distance). This is - * faster than using geod_position() and would be appropriate if drawing the - * path on a map. - @code{.c} - struct geod_geodesic g; - struct geod_geodesicline l; - double lat[101], lon[101]; - int i; - geod_init(&g, 6378137, 1/298.257223563); - geod_inverseline(&l, &g, 40.64, -73.78, 1.36, 103.99, - GEOD_LATITUDE | GEOD_LONGITUDE); - for (i = 0; i <= 100; ++i) { - geod_genposition(&l, GEOD_ARCMODE, i * l.a13 * 0.01, - lat + i, lon + i, 0, 0, 0, 0, 0, 0); - printf("%.5f %.5f\n", lat[i], lon[i]); - } - @endcode - **********************************************************************/ - double GEOD_DLL geod_genposition(const struct geod_geodesicline* l, - unsigned flags, double s12_a12, - double* plat2, double* plon2, double* pazi2, - double* ps12, double* pm12, - double* pM12, double* pM21, - double* pS12); - - /** - * Specify position of point 3 in terms of distance. - * - * @param[in,out] l a pointer to the geod_geodesicline object. - * @param[in] s13 the distance from point 1 to point 3 (meters); it - * can be negative. - * - * This is only useful if the geod_geodesicline object has been constructed - * with \e caps |= GEOD_DISTANCE_IN. - **********************************************************************/ - void GEOD_DLL geod_setdistance(struct geod_geodesicline* l, double s13); - - /** - * Specify position of point 3 in terms of either distance or arc length. - * - * @param[in,out] l a pointer to the geod_geodesicline object. - * @param[in] flags either GEOD_NOFLAGS or GEOD_ARCMODE to determining the - * meaning of the \e s13_a13. - * @param[in] s13_a13 if \e flags = GEOD_NOFLAGS, this is the distance - * from point 1 to point 3 (meters); if \e flags = GEOD_ARCMODE, it is - * the arc length from point 1 to point 3 (degrees); it can be - * negative. - * - * If flags = GEOD_NOFLAGS, this calls geod_setdistance(). If flags = - * GEOD_ARCMODE, the \e s13 is only set if the geod_geodesicline object has - * been constructed with \e caps |= GEOD_DISTANCE. - **********************************************************************/ - void GEOD_DLL geod_gensetdistance(struct geod_geodesicline* l, - unsigned flags, double s13_a13); - - /** - * Initialize a geod_polygon object. - * - * @param[out] p a pointer to the object to be initialized. - * @param[in] polylinep non-zero if a polyline instead of a polygon. - * - * If \e polylinep is zero, then the sequence of vertices and edges added by - * geod_polygon_addpoint() and geod_polygon_addedge() define a polygon and - * the perimeter and area are returned by geod_polygon_compute(). If \e - * polylinep is non-zero, then the vertices and edges define a polyline and - * only the perimeter is returned by geod_polygon_compute(). - * - * The area and perimeter are accumulated at two times the standard floating - * point precision to guard against the loss of accuracy with many-sided - * polygons. At any point you can ask for the perimeter and area so far. - * - * An example of the use of this function is given in the documentation for - * geod_polygon_compute(). - **********************************************************************/ - void GEOD_DLL geod_polygon_init(struct geod_polygon* p, int polylinep); - - /** - * Clear the polygon, allowing a new polygon to be started. - * - * @param[in,out] p a pointer to the object to be cleared. - **********************************************************************/ - void GEOD_DLL geod_polygon_clear(struct geod_polygon* p); - - /** - * Add a point to the polygon or polyline. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in,out] p a pointer to the geod_polygon object specifying the - * polygon. - * @param[in] lat the latitude of the point (degrees). - * @param[in] lon the longitude of the point (degrees). - * - * \e g and \e p must have been initialized with calls to geod_init() and - * geod_polygon_init(), respectively. The same \e g must be used for all the - * points and edges in a polygon. \e lat should be in the range - * [−90°, 90°]. - * - * An example of the use of this function is given in the documentation for - * geod_polygon_compute(). - **********************************************************************/ - void GEOD_DLL geod_polygon_addpoint(const struct geod_geodesic* g, - struct geod_polygon* p, - double lat, double lon); - - /** - * Add an edge to the polygon or polyline. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in,out] p a pointer to the geod_polygon object specifying the - * polygon. - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to next point (meters). - * - * \e g and \e p must have been initialized with calls to geod_init() and - * geod_polygon_init(), respectively. The same \e g must be used for all the - * points and edges in a polygon. This does nothing if no points have been - * added yet. The \e lat and \e lon fields of \e p give the location of the - * new vertex. - **********************************************************************/ - void GEOD_DLL geod_polygon_addedge(const struct geod_geodesic* g, - struct geod_polygon* p, - double azi, double s); - - /** - * Return the results for a polygon. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] p a pointer to the geod_polygon object specifying the polygon. - * @param[in] reverse if non-zero then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param[in] sign if non-zero then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] pA pointer to the area of the polygon (meters2); - * only set if \e polyline is non-zero in the call to geod_polygon_init(). - * @param[out] pP pointer to the perimeter of the polygon or length of the - * polyline (meters). - * @return the number of points. - * - * The area and perimeter are accumulated at two times the standard floating - * point precision to guard against the loss of accuracy with many-sided - * polygons. Arbitrarily complex polygons are allowed. In the case of - * self-intersecting polygons the area is accumulated "algebraically", e.g., - * the areas of the 2 loops in a figure-8 polygon will partially cancel. - * There's no need to "close" the polygon by repeating the first vertex. Set - * \e pA or \e pP to zero, if you do not want the corresponding quantity - * returned. - * - * More points can be added to the polygon after this call. - * - * Example, compute the perimeter and area of the geodesic triangle with - * vertices (0°N,0°E), (0°N,90°E), (90°N,0°E). - @code{.c} - double A, P; - int n; - struct geod_geodesic g; - struct geod_polygon p; - geod_init(&g, 6378137, 1/298.257223563); - geod_polygon_init(&p, 0); - - geod_polygon_addpoint(&g, &p, 0, 0); - geod_polygon_addpoint(&g, &p, 0, 90); - geod_polygon_addpoint(&g, &p, 90, 0); - n = geod_polygon_compute(&g, &p, 0, 1, &A, &P); - printf("%d %.8f %.3f\n", n, P, A); - @endcode - **********************************************************************/ - unsigned GEOD_DLL geod_polygon_compute(const struct geod_geodesic* g, - const struct geod_polygon* p, - int reverse, int sign, - double* pA, double* pP); - - /** - * Return the results assuming a tentative final test point is added; - * however, the data for the test point is not saved. This lets you report a - * running result for the perimeter and area as the user moves the mouse - * cursor. Ordinary floating point arithmetic is used to accumulate the data - * for the test point; thus the area and perimeter returned are less accurate - * than if geod_polygon_addpoint() and geod_polygon_compute() are used. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] p a pointer to the geod_polygon object specifying the polygon. - * @param[in] lat the latitude of the test point (degrees). - * @param[in] lon the longitude of the test point (degrees). - * @param[in] reverse if non-zero then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param[in] sign if non-zero then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] pA pointer to the area of the polygon (meters2); - * only set if \e polyline is non-zero in the call to geod_polygon_init(). - * @param[out] pP pointer to the perimeter of the polygon or length of the - * polyline (meters). - * @return the number of points. - * - * \e lat should be in the range [−90°, 90°]. - **********************************************************************/ - unsigned GEOD_DLL geod_polygon_testpoint(const struct geod_geodesic* g, - const struct geod_polygon* p, - double lat, double lon, - int reverse, int sign, - double* pA, double* pP); - - /** - * Return the results assuming a tentative final test point is added via an - * azimuth and distance; however, the data for the test point is not saved. - * This lets you report a running result for the perimeter and area as the - * user moves the mouse cursor. Ordinary floating point arithmetic is used - * to accumulate the data for the test point; thus the area and perimeter - * returned are less accurate than if geod_polygon_addedge() and - * geod_polygon_compute() are used. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] p a pointer to the geod_polygon object specifying the polygon. - * @param[in] azi azimuth at current point (degrees). - * @param[in] s distance from current point to final test point (meters). - * @param[in] reverse if non-zero then clockwise (instead of - * counter-clockwise) traversal counts as a positive area. - * @param[in] sign if non-zero then return a signed result for the area if - * the polygon is traversed in the "wrong" direction instead of returning - * the area for the rest of the earth. - * @param[out] pA pointer to the area of the polygon (meters2); - * only set if \e polyline is non-zero in the call to geod_polygon_init(). - * @param[out] pP pointer to the perimeter of the polygon or length of the - * polyline (meters). - * @return the number of points. - **********************************************************************/ - unsigned GEOD_DLL geod_polygon_testedge(const struct geod_geodesic* g, - const struct geod_polygon* p, - double azi, double s, - int reverse, int sign, - double* pA, double* pP); - - /** - * A simple interface for computing the area of a geodesic polygon. - * - * @param[in] g a pointer to the geod_geodesic object specifying the - * ellipsoid. - * @param[in] lats an array of latitudes of the polygon vertices (degrees). - * @param[in] lons an array of longitudes of the polygon vertices (degrees). - * @param[in] n the number of vertices. - * @param[out] pA pointer to the area of the polygon (meters2). - * @param[out] pP pointer to the perimeter of the polygon (meters). - * - * \e lats should be in the range [−90°, 90°]. - * - * Arbitrarily complex polygons are allowed. In the case self-intersecting - * of polygons the area is accumulated "algebraically", e.g., the areas of - * the 2 loops in a figure-8 polygon will partially cancel. There's no need - * to "close" the polygon by repeating the first vertex. The area returned - * is signed with counter-clockwise traversal being treated as positive. - * - * Example, compute the area of Antarctica: - @code{.c} - double - lats[] = {-72.9, -71.9, -74.9, -74.3, -77.5, -77.4, -71.7, -65.9, -65.7, - -66.6, -66.9, -69.8, -70.0, -71.0, -77.3, -77.9, -74.7}, - lons[] = {-74, -102, -102, -131, -163, 163, 172, 140, 113, - 88, 59, 25, -4, -14, -33, -46, -61}; - struct geod_geodesic g; - double A, P; - geod_init(&g, 6378137, 1/298.257223563); - geod_polygonarea(&g, lats, lons, (sizeof lats) / (sizeof lats[0]), &A, &P); - printf("%.0f %.2f\n", A, P); - @endcode - **********************************************************************/ - void GEOD_DLL geod_polygonarea(const struct geod_geodesic* g, - double lats[], double lons[], int n, - double* pA, double* pP); - - /** - * mask values for the \e caps argument to geod_lineinit(). - **********************************************************************/ - enum geod_mask { - GEOD_NONE = 0U, /**< Calculate nothing */ - GEOD_LATITUDE = 1U<<7 | 0U, /**< Calculate latitude */ - GEOD_LONGITUDE = 1U<<8 | 1U<<3, /**< Calculate longitude */ - GEOD_AZIMUTH = 1U<<9 | 0U, /**< Calculate azimuth */ - GEOD_DISTANCE = 1U<<10 | 1U<<0, /**< Calculate distance */ - GEOD_DISTANCE_IN = 1U<<11 | 1U<<0 | 1U<<1,/**< Allow distance as input */ - GEOD_REDUCEDLENGTH= 1U<<12 | 1U<<0 | 1U<<2,/**< Calculate reduced length */ - GEOD_GEODESICSCALE= 1U<<13 | 1U<<0 | 1U<<2,/**< Calculate geodesic scale */ - GEOD_AREA = 1U<<14 | 1U<<4, /**< Calculate reduced length */ - GEOD_ALL = 0x7F80U| 0x1FU /**< Calculate everything */ - }; - - /** - * flag values for the \e flags argument to geod_gendirect() and - * geod_genposition() - **********************************************************************/ - enum geod_flags { - GEOD_NOFLAGS = 0U, /**< No flags */ - GEOD_ARCMODE = 1U<<0, /**< Position given in terms of arc distance */ - GEOD_LONG_UNROLL = 1U<<15 /**< Unroll the longitude */ - }; - -#if defined(__cplusplus) -} -#endif - -#endif diff --git a/libs/GeographicLib-1.50.1/legacy/C/geodtest.c b/libs/GeographicLib-1.50.1/legacy/C/geodtest.c deleted file mode 100644 index df11688821e5be1468b1a44e2491f30b855c5bf0..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/C/geodtest.c +++ /dev/null @@ -1,1122 +0,0 @@ -/** - * \file geodtest.c - * \brief Test suite for the geodesic routines in C - * - * Run these tests by configuring with cmake and running "make test". - * - * Copyright (c) Charles Karney (2015-2019) and licensed - * under the MIT/X11 License. For more information, see - * https://geographiclib.sourceforge.io/ - **********************************************************************/ - -/** @cond SKIP */ - -#include "geodesic.h" -#include -#include - -#if defined(_MSC_VER) -/* Squelch warnings about assignment within conditional expression */ -# pragma warning (disable: 4706) -#endif - -#if !defined(__cplusplus) -#define nullptr 0 -#endif - -static const double wgs84_a = 6378137, wgs84_f = 1/298.257223563; /* WGS84 */ - -static int checkEquals(double x, double y, double d) { - if (fabs(x - y) <= d) - return 0; - printf("checkEquals fails: %.7g != %.7g +/- %.7g\n", x, y, d); - return 1; -} - -static int checkNaN(double x) { - /* cppcheck-suppress duplicateExpression */ - if (x != x) - return 0; - printf("checkNaN fails: %.7g\n", x); - return 1; -} - -static const int ncases = 20; -static const double testcases[20][12] = { - {35.60777, -139.44815, 111.098748429560326, - -11.17491, -69.95921, 129.289270889708762, - 8935244.5604818305, 80.50729714281974, 6273170.2055303837, - 0.16606318447386067, 0.16479116945612937, 12841384694976.432}, - {55.52454, 106.05087, 22.020059880982801, - 77.03196, 197.18234, 109.112041110671519, - 4105086.1713924406, 36.892740690445894, 3828869.3344387607, - 0.80076349608092607, 0.80101006984201008, 61674961290615.615}, - {-21.97856, 142.59065, -32.44456876433189, - 41.84138, 98.56635, -41.84359951440466, - 8394328.894657671, 75.62930491011522, 6161154.5773110616, - 0.24816339233950381, 0.24930251203627892, -6637997720646.717}, - {-66.99028, 112.2363, 173.73491240878403, - -12.70631, 285.90344, 2.512956620913668, - 11150344.2312080241, 100.278634181155759, 6289939.5670446687, - -0.17199490274700385, -0.17722569526345708, -121287239862139.744}, - {-17.42761, 173.34268, -159.033557661192928, - -15.84784, 5.93557, -20.787484651536988, - 16076603.1631180673, 144.640108810286253, 3732902.1583877189, - -0.81273638700070476, -0.81299800519154474, 97825992354058.708}, - {32.84994, 48.28919, 150.492927788121982, - -56.28556, 202.29132, 48.113449399816759, - 16727068.9438164461, 150.565799985466607, 3147838.1910180939, - -0.87334918086923126, -0.86505036767110637, -72445258525585.010}, - {6.96833, 52.74123, 92.581585386317712, - -7.39675, 206.17291, 90.721692165923907, - 17102477.2496958388, 154.147366239113561, 2772035.6169917581, - -0.89991282520302447, -0.89986892177110739, -1311796973197.995}, - {-50.56724, -16.30485, -105.439679907590164, - -33.56571, -94.97412, -47.348547835650331, - 6455670.5118668696, 58.083719495371259, 5409150.7979815838, - 0.53053508035997263, 0.52988722644436602, 41071447902810.047}, - {-58.93002, -8.90775, 140.965397902500679, - -8.91104, 133.13503, 19.255429433416599, - 11756066.0219864627, 105.755691241406877, 6151101.2270708536, - -0.26548622269867183, -0.27068483874510741, -86143460552774.735}, - {-68.82867, -74.28391, 93.774347763114881, - -50.63005, -8.36685, 34.65564085411343, - 3956936.926063544, 35.572254987389284, 3708890.9544062657, - 0.81443963736383502, 0.81420859815358342, -41845309450093.787}, - {-10.62672, -32.0898, -86.426713286747751, - 5.883, -134.31681, -80.473780971034875, - 11470869.3864563009, 103.387395634504061, 6184411.6622659713, - -0.23138683500430237, -0.23155097622286792, 4198803992123.548}, - {-21.76221, 166.90563, 29.319421206936428, - 48.72884, 213.97627, 43.508671946410168, - 9098627.3986554915, 81.963476716121964, 6299240.9166992283, - 0.13965943368590333, 0.14152969707656796, 10024709850277.476}, - {-19.79938, -174.47484, 71.167275780171533, - -11.99349, -154.35109, 65.589099775199228, - 2319004.8601169389, 20.896611684802389, 2267960.8703918325, - 0.93427001867125849, 0.93424887135032789, -3935477535005.785}, - {-11.95887, -116.94513, 92.712619830452549, - 4.57352, 7.16501, 78.64960934409585, - 13834722.5801401374, 124.688684161089762, 5228093.177931598, - -0.56879356755666463, -0.56918731952397221, -9919582785894.853}, - {-87.85331, 85.66836, -65.120313040242748, - 66.48646, 16.09921, -4.888658719272296, - 17286615.3147144645, 155.58592449699137, 2635887.4729110181, - -0.90697975771398578, -0.91095608883042767, 42667211366919.534}, - {1.74708, 128.32011, -101.584843631173858, - -11.16617, 11.87109, -86.325793296437476, - 12942901.1241347408, 116.650512484301857, 5682744.8413270572, - -0.44857868222697644, -0.44824490340007729, 10763055294345.653}, - {-25.72959, -144.90758, -153.647468693117198, - -57.70581, -269.17879, -48.343983158876487, - 9413446.7452453107, 84.664533838404295, 6356176.6898881281, - 0.09492245755254703, 0.09737058264766572, 74515122850712.444}, - {-41.22777, 122.32875, 14.285113402275739, - -7.57291, 130.37946, 10.805303085187369, - 3812686.035106021, 34.34330804743883, 3588703.8812128856, - 0.82605222593217889, 0.82572158200920196, -2456961531057.857}, - {11.01307, 138.25278, 79.43682622782374, - 6.62726, 247.05981, 103.708090215522657, - 11911190.819018408, 107.341669954114577, 6070904.722786735, - -0.29767608923657404, -0.29785143390252321, 17121631423099.696}, - {-29.47124, 95.14681, -163.779130441688382, - -27.46601, -69.15955, -15.909335945554969, - 13487015.8381145492, 121.294026715742277, 5481428.9945736388, - -0.51527225545373252, -0.51556587964721788, 104679964020340.318}}; - -static int testinverse() { - double lat1, lon1, azi1, lat2, lon2, azi2, s12, a12, m12, M12, M21, S12; - double azi1a, azi2a, s12a, a12a, m12a, M12a, M21a, S12a; - struct geod_geodesic g; - int i, result = 0; - geod_init(&g, wgs84_a, wgs84_f); - for (i = 0; i < ncases; ++i) { - lat1 = testcases[i][0]; lon1 = testcases[i][1]; azi1 = testcases[i][2]; - lat2 = testcases[i][3]; lon2 = testcases[i][4]; azi2 = testcases[i][5]; - s12 = testcases[i][6]; a12 = testcases[i][7]; m12 = testcases[i][8]; - M12 = testcases[i][9]; M21 = testcases[i][10]; S12 = testcases[i][11]; - a12a = geod_geninverse(&g, lat1, lon1, lat2, lon2, &s12a, &azi1a, &azi2a, - &m12a, &M12a, &M21a, &S12a); - result += checkEquals(azi1, azi1a, 1e-13); - result += checkEquals(azi2, azi2a, 1e-13); - result += checkEquals(s12, s12a, 1e-8); - result += checkEquals(a12, a12a, 1e-13); - result += checkEquals(m12, m12a, 1e-8); - result += checkEquals(M12, M12a, 1e-15); - result += checkEquals(M21, M21a, 1e-15); - result += checkEquals(S12, S12a, 0.1); - } - return result; -} - -static int testdirect() { - double lat1, lon1, azi1, lat2, lon2, azi2, s12, a12, m12, M12, M21, S12; - double lat2a, lon2a, azi2a, a12a, m12a, M12a, M21a, S12a; - struct geod_geodesic g; - int i, result = 0; - unsigned flags = GEOD_LONG_UNROLL; - geod_init(&g, wgs84_a, wgs84_f); - for (i = 0; i < ncases; ++i) { - lat1 = testcases[i][0]; lon1 = testcases[i][1]; azi1 = testcases[i][2]; - lat2 = testcases[i][3]; lon2 = testcases[i][4]; azi2 = testcases[i][5]; - s12 = testcases[i][6]; a12 = testcases[i][7]; m12 = testcases[i][8]; - M12 = testcases[i][9]; M21 = testcases[i][10]; S12 = testcases[i][11]; - a12a = geod_gendirect(&g, lat1, lon1, azi1, flags, s12, - &lat2a, &lon2a, &azi2a, nullptr, &m12a, &M12a, &M21a, &S12a); - result += checkEquals(lat2, lat2a, 1e-13); - result += checkEquals(lon2, lon2a, 1e-13); - result += checkEquals(azi2, azi2a, 1e-13); - result += checkEquals(a12, a12a, 1e-13); - result += checkEquals(m12, m12a, 1e-8); - result += checkEquals(M12, M12a, 1e-15); - result += checkEquals(M21, M21a, 1e-15); - result += checkEquals(S12, S12a, 0.1); - } - return result; -} - -static int testarcdirect() { - double lat1, lon1, azi1, lat2, lon2, azi2, s12, a12, m12, M12, M21, S12; - double lat2a, lon2a, azi2a, s12a, m12a, M12a, M21a, S12a; - struct geod_geodesic g; - int i, result = 0; - unsigned flags = GEOD_ARCMODE | GEOD_LONG_UNROLL; - geod_init(&g, wgs84_a, wgs84_f); - for (i = 0; i < ncases; ++i) { - lat1 = testcases[i][0]; lon1 = testcases[i][1]; azi1 = testcases[i][2]; - lat2 = testcases[i][3]; lon2 = testcases[i][4]; azi2 = testcases[i][5]; - s12 = testcases[i][6]; a12 = testcases[i][7]; m12 = testcases[i][8]; - M12 = testcases[i][9]; M21 = testcases[i][10]; S12 = testcases[i][11]; - geod_gendirect(&g, lat1, lon1, azi1, flags, a12, - &lat2a, &lon2a, &azi2a, &s12a, &m12a, &M12a, &M21a, &S12a); - result += checkEquals(lat2, lat2a, 1e-13); - result += checkEquals(lon2, lon2a, 1e-13); - result += checkEquals(azi2, azi2a, 1e-13); - result += checkEquals(s12, s12a, 1e-8); - result += checkEquals(m12, m12a, 1e-8); - result += checkEquals(M12, M12a, 1e-15); - result += checkEquals(M21, M21a, 1e-15); - result += checkEquals(S12, S12a, 0.1); - } - return result; -} - -static int GeodSolve0() { - double azi1, azi2, s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 40.6, -73.8, 49.01666667, 2.55, &s12, &azi1, &azi2); - result += checkEquals(azi1, 53.47022, 0.5e-5); - result += checkEquals(azi2, 111.59367, 0.5e-5); - result += checkEquals(s12, 5853226, 0.5); - return result; -} - -static int GeodSolve1() { - double lat2, lon2, azi2; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_direct(&g, 40.63972222, -73.77888889, 53.5, 5850e3, - &lat2, &lon2, &azi2); - result += checkEquals(lat2, 49.01467, 0.5e-5); - result += checkEquals(lon2, 2.56106, 0.5e-5); - result += checkEquals(azi2, 111.62947, 0.5e-5); - return result; -} - -static int GeodSolve2() { - /* Check fix for antipodal prolate bug found 2010-09-04 */ - double azi1, azi2, s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, 6.4e6, -1/150.0); - geod_inverse(&g, 0.07476, 0, -0.07476, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 90.00078, 0.5e-5); - result += checkEquals(azi2, 90.00078, 0.5e-5); - result += checkEquals(s12, 20106193, 0.5); - geod_inverse(&g, 0.1, 0, -0.1, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 90.00105, 0.5e-5); - result += checkEquals(azi2, 90.00105, 0.5e-5); - result += checkEquals(s12, 20106193, 0.5); - return result; -} - -static int GeodSolve4() { - /* Check fix for short line bug found 2010-05-21 */ - double s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 36.493349428792, 0, 36.49334942879201, .0000008, - &s12, nullptr, nullptr); - result += checkEquals(s12, 0.072, 0.5e-3); - return result; -} - -static int GeodSolve5() { - /* Check fix for point2=pole bug found 2010-05-03 */ - double lat2, lon2, azi2; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_direct(&g, 0.01777745589997, 30, 0, 10e6, &lat2, &lon2, &azi2); - result += checkEquals(lat2, 90, 0.5e-5); - if (lon2 < 0) { - result += checkEquals(lon2, -150, 0.5e-5); - result += checkEquals(fabs(azi2), 180, 0.5e-5); - } else { - result += checkEquals(lon2, 30, 0.5e-5); - result += checkEquals(azi2, 0, 0.5e-5); - } - return result; -} - -static int GeodSolve6() { - /* Check fix for volatile sbet12a bug found 2011-06-25 (gcc 4.4.4 - * x86 -O3). Found again on 2012-03-27 with tdm-mingw32 (g++ 4.6.1). */ - double s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 88.202499451857, 0, - -88.202499451857, 179.981022032992859592, - &s12, nullptr, nullptr); - result += checkEquals(s12, 20003898.214, 0.5e-3); - geod_inverse(&g, 89.262080389218, 0, - -89.262080389218, 179.992207982775375662, - &s12, nullptr, nullptr); - result += checkEquals(s12, 20003925.854, 0.5e-3); - geod_inverse(&g, 89.333123580033, 0, - -89.333123580032997687, 179.99295812360148422, - &s12, nullptr, nullptr); - result += checkEquals(s12, 20003926.881, 0.5e-3); - return result; -} - -static int GeodSolve9() { - /* Check fix for volatile x bug found 2011-06-25 (gcc 4.4.4 x86 -O3) */ - double s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 56.320923501171, 0, - -56.320923501171, 179.664747671772880215, - &s12, nullptr, nullptr); - result += checkEquals(s12, 19993558.287, 0.5e-3); - return result; -} - -static int GeodSolve10() { - /* Check fix for adjust tol1_ bug found 2011-06-25 (Visual Studio - * 10 rel + debug) */ - double s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 52.784459512564, 0, - -52.784459512563990912, 179.634407464943777557, - &s12, nullptr, nullptr); - result += checkEquals(s12, 19991596.095, 0.5e-3); - return result; -} - -static int GeodSolve11() { - /* Check fix for bet2 = -bet1 bug found 2011-06-25 (Visual Studio - * 10 rel + debug) */ - double s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 48.522876735459, 0, - -48.52287673545898293, 179.599720456223079643, - &s12, nullptr, nullptr); - result += checkEquals(s12, 19989144.774, 0.5e-3); - return result; -} - -static int GeodSolve12() { - /* Check fix for inverse geodesics on extreme prolate/oblate - * ellipsoids Reported 2012-08-29 Stefan Guenther - * ; fixed 2012-10-07 */ - double azi1, azi2, s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, 89.8, -1.83); - geod_inverse(&g, 0, 0, -10, 160, &s12, &azi1, &azi2); - result += checkEquals(azi1, 120.27, 1e-2); - result += checkEquals(azi2, 105.15, 1e-2); - result += checkEquals(s12, 266.7, 1e-1); - return result; -} - -static int GeodSolve14() { - /* Check fix for inverse ignoring lon12 = nan */ - double azi1, azi2, s12, nan; - struct geod_geodesic g; - int result = 0; - { - double minus1 = -1; - /* cppcheck-suppress wrongmathcall */ - nan = sqrt(minus1); - } - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 0, 0, 1, nan, &s12, &azi1, &azi2); - result += checkNaN(azi1); - result += checkNaN(azi2); - result += checkNaN(s12); - return result; -} - -static int GeodSolve15() { - /* Initial implementation of Math::eatanhe was wrong for e^2 < 0. This - * checks that this is fixed. */ - double S12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, 6.4e6, -1/150.0); - geod_gendirect(&g, 1, 2, 3, 0, 4, nullptr, nullptr, nullptr, - nullptr, nullptr, nullptr, nullptr, &S12); - result += checkEquals(S12, 23700, 0.5); - return result; -} - -static int GeodSolve17() { - /* Check fix for LONG_UNROLL bug found on 2015-05-07 */ - double lat2, lon2, azi2; - struct geod_geodesic g; - struct geod_geodesicline l; - int result = 0; - unsigned flags = GEOD_LONG_UNROLL; - geod_init(&g, wgs84_a, wgs84_f); - geod_gendirect(&g, 40, -75, -10, flags, 2e7, &lat2, &lon2, &azi2, - nullptr, nullptr, nullptr, nullptr, nullptr); - result += checkEquals(lat2, -39, 1); - result += checkEquals(lon2, -254, 1); - result += checkEquals(azi2, -170, 1); - geod_lineinit(&l, &g, 40, -75, -10, 0); - geod_genposition(&l, flags, 2e7, &lat2, &lon2, &azi2, - nullptr, nullptr, nullptr, nullptr, nullptr); - result += checkEquals(lat2, -39, 1); - result += checkEquals(lon2, -254, 1); - result += checkEquals(azi2, -170, 1); - geod_direct(&g, 40, -75, -10, 2e7, &lat2, &lon2, &azi2); - result += checkEquals(lat2, -39, 1); - result += checkEquals(lon2, 105, 1); - result += checkEquals(azi2, -170, 1); - geod_position(&l, 2e7, &lat2, &lon2, &azi2); - result += checkEquals(lat2, -39, 1); - result += checkEquals(lon2, 105, 1); - result += checkEquals(azi2, -170, 1); - return result; -} - -static int GeodSolve26() { - /* Check 0/0 problem with area calculation on sphere 2015-09-08 */ - double S12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, 6.4e6, 0); - geod_geninverse(&g, 1, 2, 3, 4, nullptr, nullptr, nullptr, - nullptr, nullptr, nullptr, &S12); - result += checkEquals(S12, 49911046115.0, 0.5); - return result; -} - -static int GeodSolve28() { - /* Check for bad placement of assignment of r.a12 with |f| > 0.01 (bug in - * Java implementation fixed on 2015-05-19). */ - double a12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, 6.4e6, 0.1); - a12 = geod_gendirect(&g, 1, 2, 10, 0, 5e6, nullptr, nullptr, nullptr, - nullptr, nullptr, nullptr, nullptr, nullptr); - result += checkEquals(a12, 48.55570690, 0.5e-8); - return result; -} - -static int GeodSolve33() { - /* Check max(-0.0,+0.0) issues 2015-08-22 (triggered by bugs in Octave -- - * sind(-0.0) = +0.0 -- and in some version of Visual Studio -- - * fmod(-0.0, 360.0) = +0.0. */ - double azi1, azi2, s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 0, 0, 0, 179, &s12, &azi1, &azi2); - result += checkEquals(azi1, 90.00000, 0.5e-5); - result += checkEquals(azi2, 90.00000, 0.5e-5); - result += checkEquals(s12, 19926189, 0.5); - geod_inverse(&g, 0, 0, 0, 179.5, &s12, &azi1, &azi2); - result += checkEquals(azi1, 55.96650, 0.5e-5); - result += checkEquals(azi2, 124.03350, 0.5e-5); - result += checkEquals(s12, 19980862, 0.5); - geod_inverse(&g, 0, 0, 0, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 0.00000, 0.5e-5); - result += checkEquals(fabs(azi2), 180.00000, 0.5e-5); - result += checkEquals(s12, 20003931, 0.5); - geod_inverse(&g, 0, 0, 1, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 0.00000, 0.5e-5); - result += checkEquals(fabs(azi2), 180.00000, 0.5e-5); - result += checkEquals(s12, 19893357, 0.5); - geod_init(&g, 6.4e6, 0); - geod_inverse(&g, 0, 0, 0, 179, &s12, &azi1, &azi2); - result += checkEquals(azi1, 90.00000, 0.5e-5); - result += checkEquals(azi2, 90.00000, 0.5e-5); - result += checkEquals(s12, 19994492, 0.5); - geod_inverse(&g, 0, 0, 0, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 0.00000, 0.5e-5); - result += checkEquals(fabs(azi2), 180.00000, 0.5e-5); - result += checkEquals(s12, 20106193, 0.5); - geod_inverse(&g, 0, 0, 1, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 0.00000, 0.5e-5); - result += checkEquals(fabs(azi2), 180.00000, 0.5e-5); - result += checkEquals(s12, 19994492, 0.5); - geod_init(&g, 6.4e6, -1/300.0); - geod_inverse(&g, 0, 0, 0, 179, &s12, &azi1, &azi2); - result += checkEquals(azi1, 90.00000, 0.5e-5); - result += checkEquals(azi2, 90.00000, 0.5e-5); - result += checkEquals(s12, 19994492, 0.5); - geod_inverse(&g, 0, 0, 0, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 90.00000, 0.5e-5); - result += checkEquals(azi2, 90.00000, 0.5e-5); - result += checkEquals(s12, 20106193, 0.5); - geod_inverse(&g, 0, 0, 0.5, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 33.02493, 0.5e-5); - result += checkEquals(azi2, 146.97364, 0.5e-5); - result += checkEquals(s12, 20082617, 0.5); - geod_inverse(&g, 0, 0, 1, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 0.00000, 0.5e-5); - result += checkEquals(fabs(azi2), 180.00000, 0.5e-5); - result += checkEquals(s12, 20027270, 0.5); - - return result; -} - -static int GeodSolve55() { - /* Check fix for nan + point on equator or pole not returning all nans in - * Geodesic::Inverse, found 2015-09-23. */ - double azi1, azi2, s12, nan; - struct geod_geodesic g; - int result = 0; - { - double minus1 = -1; - /* cppcheck-suppress wrongmathcall */ - nan = sqrt(minus1); - } - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, nan, 0, 0, 90, &s12, &azi1, &azi2); - result += checkNaN(azi1); - result += checkNaN(azi2); - result += checkNaN(s12); - geod_inverse(&g, nan, 0, 90, 9, &s12, &azi1, &azi2); - result += checkNaN(azi1); - result += checkNaN(azi2); - result += checkNaN(s12); - return result; -} - -static int GeodSolve59() { - /* Check for points close with longitudes close to 180 deg apart. */ - double azi1, azi2, s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 5, 0.00000000000001, 10, 180, &s12, &azi1, &azi2); - result += checkEquals(azi1, 0.000000000000035, 1.5e-14); - result += checkEquals(azi2, 179.99999999999996, 1.5e-14); - result += checkEquals(s12, 18345191.174332713, 5e-9); - return result; -} - -static int GeodSolve61() { - /* Make sure small negative azimuths are west-going */ - double lat2, lon2, azi2; - struct geod_geodesic g; - struct geod_geodesicline l; - int result = 0; - unsigned flags = GEOD_LONG_UNROLL; - geod_init(&g, wgs84_a, wgs84_f); - geod_gendirect(&g, 45, 0, -0.000000000000000003, flags, 1e7, - &lat2, &lon2, &azi2, - nullptr, nullptr, nullptr, nullptr, nullptr); - result += checkEquals(lat2, 45.30632, 0.5e-5); - result += checkEquals(lon2, -180, 0.5e-5); - result += checkEquals(fabs(azi2), 180, 0.5e-5); - geod_inverseline(&l, &g, 45, 0, 80, -0.000000000000000003, 0); - geod_genposition(&l, flags, 1e7, &lat2, &lon2, &azi2, - nullptr, nullptr, nullptr, nullptr, nullptr); - result += checkEquals(lat2, 45.30632, 0.5e-5); - result += checkEquals(lon2, -180, 0.5e-5); - result += checkEquals(fabs(azi2), 180, 0.5e-5); - return result; -} - -static int GeodSolve65() { - /* Check for bug in east-going check in GeodesicLine (needed to check for - * sign of 0) and sign error in area calculation due to a bogus override of - * the code for alp12. Found/fixed on 2015-12-19. */ - double lat2, lon2, azi2, s12, a12, m12, M12, M21, S12; - struct geod_geodesic g; - struct geod_geodesicline l; - int result = 0; - unsigned flags = GEOD_LONG_UNROLL, caps = GEOD_ALL; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverseline(&l, &g, 30, -0.000000000000000001, -31, 180, caps); - a12 = geod_genposition(&l, flags, 1e7, - &lat2, &lon2, &azi2, &s12, &m12, &M12, &M21, &S12); - result += checkEquals(lat2, -60.23169, 0.5e-5); - result += checkEquals(lon2, -0.00000, 0.5e-5); - result += checkEquals(fabs(azi2), 180.00000, 0.5e-5); - result += checkEquals(s12, 10000000, 0.5); - result += checkEquals(a12, 90.06544, 0.5e-5); - result += checkEquals(m12, 6363636, 0.5); - result += checkEquals(M12, -0.0012834, 0.5e-7); - result += checkEquals(M21, 0.0013749, 0.5e-7); - result += checkEquals(S12, 0, 0.5); - a12 = geod_genposition(&l, flags, 2e7, - &lat2, &lon2, &azi2, &s12, &m12, &M12, &M21, &S12); - result += checkEquals(lat2, -30.03547, 0.5e-5); - result += checkEquals(lon2, -180.00000, 0.5e-5); - result += checkEquals(azi2, -0.00000, 0.5e-5); - result += checkEquals(s12, 20000000, 0.5); - result += checkEquals(a12, 179.96459, 0.5e-5); - result += checkEquals(m12, 54342, 0.5); - result += checkEquals(M12, -1.0045592, 0.5e-7); - result += checkEquals(M21, -0.9954339, 0.5e-7); - result += checkEquals(S12, 127516405431022.0, 0.5); - return result; -} - -static int GeodSolve67() { - /* Check for InverseLine if line is slightly west of S and that s13 is - * correctly set. */ - double lat2, lon2, azi2; - struct geod_geodesic g; - struct geod_geodesicline l; - int result = 0; - unsigned flags = GEOD_LONG_UNROLL; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverseline(&l, &g, -5, -0.000000000000002, -10, 180, 0); - geod_genposition(&l, flags, 2e7, &lat2, &lon2, &azi2, - nullptr, nullptr, nullptr, nullptr, nullptr); - result += checkEquals(lat2, 4.96445, 0.5e-5); - result += checkEquals(lon2, -180.00000, 0.5e-5); - result += checkEquals(azi2, -0.00000, 0.5e-5); - geod_genposition(&l, flags, 0.5 * l.s13, &lat2, &lon2, &azi2, - nullptr, nullptr, nullptr, nullptr, nullptr); - result += checkEquals(lat2, -87.52461, 0.5e-5); - result += checkEquals(lon2, -0.00000, 0.5e-5); - result += checkEquals(azi2, -180.00000, 0.5e-5); - return result; -} - -static int GeodSolve71() { - /* Check that DirectLine sets s13. */ - double lat2, lon2, azi2; - struct geod_geodesic g; - struct geod_geodesicline l; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_directline(&l, &g, 1, 2, 45, 1e7, 0); - geod_position(&l, 0.5 * l.s13, &lat2, &lon2, &azi2); - result += checkEquals(lat2, 30.92625, 0.5e-5); - result += checkEquals(lon2, 37.54640, 0.5e-5); - result += checkEquals(azi2, 55.43104, 0.5e-5); - return result; -} - -static int GeodSolve73() { - /* Check for backwards from the pole bug reported by Anon on 2016-02-13. - * This only affected the Java implementation. It was introduced in Java - * version 1.44 and fixed in 1.46-SNAPSHOT on 2016-01-17. - * Also the + sign on azi2 is a check on the normalizing of azimuths - * (converting -0.0 to +0.0). */ - double lat2, lon2, azi2; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_direct(&g, 90, 10, 180, -1e6, - &lat2, &lon2, &azi2); - result += checkEquals(lat2, 81.04623, 0.5e-5); - result += checkEquals(lon2, -170, 0.5e-5); - result += azi2 == 0 ? 0 : 1; - result += 1/azi2 > 0 ? 0 : 1; /* Check that azi2 = +0.0 not -0.0 */ - return result; -} - -static void planimeter(const struct geod_geodesic* g, - double points[][2], int N, - double* perimeter, double* area) { - struct geod_polygon p; - int i; - geod_polygon_init(&p, 0); - for (i = 0; i < N; ++i) - geod_polygon_addpoint(g, &p, points[i][0], points[i][1]); - geod_polygon_compute(g, &p, 0, 1, area, perimeter); -} - -static void polylength(const struct geod_geodesic* g, - double points[][2], int N, - double* perimeter) { - struct geod_polygon p; - int i; - geod_polygon_init(&p, 1); - for (i = 0; i < N; ++i) - geod_polygon_addpoint(g, &p, points[i][0], points[i][1]); - geod_polygon_compute(g, &p, 0, 1, nullptr, perimeter); -} - -static int GeodSolve74() { - /* Check fix for inaccurate areas, bug introduced in v1.46, fixed - * 2015-10-16. */ - double a12, s12, azi1, azi2, m12, M12, M21, S12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - a12 = geod_geninverse(&g, 54.1589, 15.3872, 54.1591, 15.3877, - &s12, &azi1, &azi2, &m12, &M12, &M21, &S12); - result += checkEquals(azi1, 55.723110355, 5e-9); - result += checkEquals(azi2, 55.723515675, 5e-9); - result += checkEquals(s12, 39.527686385, 5e-9); - result += checkEquals(a12, 0.000355495, 5e-9); - result += checkEquals(m12, 39.527686385, 5e-9); - result += checkEquals(M12, 0.999999995, 5e-9); - result += checkEquals(M21, 0.999999995, 5e-9); - result += checkEquals(S12, 286698586.30197, 5e-4); - return result; -} - -static int GeodSolve76() { - /* The distance from Wellington and Salamanca (a classic failure of - * Vincenty) */ - double azi1, azi2, s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, -(41+19/60.0), 174+49/60.0, 40+58/60.0, -(5+30/60.0), - &s12, &azi1, &azi2); - result += checkEquals(azi1, 160.39137649664, 0.5e-11); - result += checkEquals(azi2, 19.50042925176, 0.5e-11); - result += checkEquals(s12, 19960543.857179, 0.5e-6); - return result; -} - -static int GeodSolve78() { - /* An example where the NGS calculator fails to converge */ - double azi1, azi2, s12; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_inverse(&g, 27.2, 0.0, -27.1, 179.5, &s12, &azi1, &azi2); - result += checkEquals(azi1, 45.82468716758, 0.5e-11); - result += checkEquals(azi2, 134.22776532670, 0.5e-11); - result += checkEquals(s12, 19974354.765767, 0.5e-6); - return result; -} - -static int GeodSolve80() { - /* Some tests to add code coverage: computing scale in special cases + zero - * length geodesic (includes GeodSolve80 - GeodSolve83) + using an incapable - * line. */ - double a12, s12, azi1, azi2, m12, M12, M21, S12; - struct geod_geodesic g; - struct geod_geodesicline l; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - - geod_geninverse(&g, 0, 0, 0, 90, nullptr, nullptr, nullptr, - nullptr, &M12, &M21, nullptr); - result += checkEquals(M12, -0.00528427534, 0.5e-10); - result += checkEquals(M21, -0.00528427534, 0.5e-10); - - geod_geninverse(&g, 0, 0, 1e-6, 1e-6, nullptr, nullptr, nullptr, - nullptr, &M12, &M21, nullptr); - result += checkEquals(M12, 1, 0.5e-10); - result += checkEquals(M21, 1, 0.5e-10); - - a12 = geod_geninverse(&g, 20.001, 0, 20.001, 0, - &s12, &azi1, &azi2, &m12, &M12, &M21, &S12); - result += checkEquals(a12, 0, 1e-13); - result += checkEquals(s12, 0, 1e-8); - result += checkEquals(azi1, 180, 1e-13); - result += checkEquals(azi2, 180, 1e-13); - result += checkEquals(m12, 0, 1e-8); - result += checkEquals(M12, 1, 1e-15); - result += checkEquals(M21, 1, 1e-15); - result += checkEquals(S12, 0, 1e-10); - - a12 = geod_geninverse(&g, 90, 0, 90, 180, - &s12, &azi1, &azi2, &m12, &M12, &M21, &S12); - result += checkEquals(a12, 0, 1e-13); - result += checkEquals(s12, 0, 1e-8); - result += checkEquals(azi1, 0, 1e-13); - result += checkEquals(azi2, 180, 1e-13); - result += checkEquals(m12, 0, 1e-8); - result += checkEquals(M12, 1, 1e-15); - result += checkEquals(M21, 1, 1e-15); - result += checkEquals(S12, 127516405431022.0, 0.5); - - /* An incapable line which can't take distance as input */ - geod_lineinit(&l, &g, 1, 2, 90, GEOD_LATITUDE); - a12 = geod_genposition(&l, 0, 1000, nullptr, nullptr, nullptr, - nullptr, nullptr, nullptr, nullptr, nullptr); - result += checkNaN(a12); - return result; -} - -static int GeodSolve84() { - /* Tests for python implementation to check fix for range errors with - * {fmod,sin,cos}(inf) (includes GeodSolve84 - GeodSolve86). */ - - double lat2, lon2, azi2, inf, nan; - struct geod_geodesic g; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - { - /* a round about way to set inf = 0 */ - geod_direct(&g, 0, 0, 90, 0, &inf, nullptr, nullptr); - /* so that this doesn't give a compiler time error on Windows */ - inf = 1.0/inf; - } - { - double minus1 = -1; - /* cppcheck-suppress wrongmathcall */ - nan = sqrt(minus1); - } - geod_direct(&g, 0, 0, 90, inf, &lat2, &lon2, &azi2); - result += checkNaN(lat2); - result += checkNaN(lon2); - result += checkNaN(azi2); - geod_direct(&g, 0, 0, 90, nan, &lat2, &lon2, &azi2); - result += checkNaN(lat2); - result += checkNaN(lon2); - result += checkNaN(azi2); - geod_direct(&g, 0, 0, inf, 1000, &lat2, &lon2, &azi2); - result += checkNaN(lat2); - result += checkNaN(lon2); - result += checkNaN(azi2); - geod_direct(&g, 0, 0, nan, 1000, &lat2, &lon2, &azi2); - result += checkNaN(lat2); - result += checkNaN(lon2); - result += checkNaN(azi2); - geod_direct(&g, 0, inf, 90, 1000, &lat2, &lon2, &azi2); - result += lat2 == 0 ? 0 : 1; - result += checkNaN(lon2); - result += azi2 == 90 ? 0 : 1; - geod_direct(&g, 0, nan, 90, 1000, &lat2, &lon2, &azi2); - result += lat2 == 0 ? 0 : 1; - result += checkNaN(lon2); - result += azi2 == 90 ? 0 : 1; - geod_direct(&g, inf, 0, 90, 1000, &lat2, &lon2, &azi2); - result += checkNaN(lat2); - result += checkNaN(lon2); - result += checkNaN(azi2); - geod_direct(&g, nan, 0, 90, 1000, &lat2, &lon2, &azi2); - result += checkNaN(lat2); - result += checkNaN(lon2); - result += checkNaN(azi2); - return result; -} - -static int Planimeter0() { - /* Check fix for pole-encircling bug found 2011-03-16 */ - double pa[4][2] = {{89, 0}, {89, 90}, {89, 180}, {89, 270}}; - double pb[4][2] = {{-89, 0}, {-89, 90}, {-89, 180}, {-89, 270}}; - double pc[4][2] = {{0, -1}, {-1, 0}, {0, 1}, {1, 0}}; - double pd[3][2] = {{90, 0}, {0, 0}, {0, 90}}; - struct geod_geodesic g; - double perimeter, area; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - - planimeter(&g, pa, 4, &perimeter, &area); - result += checkEquals(perimeter, 631819.8745, 1e-4); - result += checkEquals(area, 24952305678.0, 1); - - planimeter(&g, pb, 4, &perimeter, &area); - result += checkEquals(perimeter, 631819.8745, 1e-4); - result += checkEquals(area, -24952305678.0, 1); - - planimeter(&g, pc, 4, &perimeter, &area); - result += checkEquals(perimeter, 627598.2731, 1e-4); - result += checkEquals(area, 24619419146.0, 1); - - planimeter(&g, pd, 3, &perimeter, &area); - result += checkEquals(perimeter, 30022685, 1); - result += checkEquals(area, 63758202715511.0, 1); - - polylength(&g, pd, 3, &perimeter); - result += checkEquals(perimeter, 20020719, 1); - - return result; -} - -static int Planimeter5() { - /* Check fix for Planimeter pole crossing bug found 2011-06-24 */ - double points[3][2] = {{89, 0.1}, {89, 90.1}, {89, -179.9}}; - struct geod_geodesic g; - double perimeter, area; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - planimeter(&g, points, 3, &perimeter, &area); - result += checkEquals(perimeter, 539297, 1); - result += checkEquals(area, 12476152838.5, 1); - return result; -} - -static int Planimeter6() { - /* Check fix for Planimeter lon12 rounding bug found 2012-12-03 */ - double pa[3][2] = {{9, -0.00000000000001}, {9, 180}, {9, 0}}; - double pb[3][2] = {{9, 0.00000000000001}, {9, 0}, {9, 180}}; - double pc[3][2] = {{9, 0.00000000000001}, {9, 180}, {9, 0}}; - double pd[3][2] = {{9, -0.00000000000001}, {9, 0}, {9, 180}}; - struct geod_geodesic g; - double perimeter, area; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - - planimeter(&g, pa, 3, &perimeter, &area); - result += checkEquals(perimeter, 36026861, 1); - result += checkEquals(area, 0, 1); - planimeter(&g, pb, 3, &perimeter, &area); - result += checkEquals(perimeter, 36026861, 1); - result += checkEquals(area, 0, 1); - planimeter(&g, pc, 3, &perimeter, &area); - result += checkEquals(perimeter, 36026861, 1); - result += checkEquals(area, 0, 1); - planimeter(&g, pd, 3, &perimeter, &area); - result += checkEquals(perimeter, 36026861, 1); - result += checkEquals(area, 0, 1); - return result; -} - -static int Planimeter12() { - /* Area of arctic circle (not really -- adjunct to rhumb-area test) */ - double points[2][2] = {{66.562222222, 0}, {66.562222222, 180}}; - struct geod_geodesic g; - double perimeter, area; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - planimeter(&g, points, 2, &perimeter, &area); - result += checkEquals(perimeter, 10465729, 1); - result += checkEquals(area, 0, 1); - return result; -} - -static int Planimeter13() { - /* Check encircling pole twice */ - double points[6][2] = {{89,-360}, {89,-240}, {89,-120}, - {89,0}, {89,120}, {89,240}}; - struct geod_geodesic g; - double perimeter, area; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - planimeter(&g, points, 6, &perimeter, &area); - result += checkEquals(perimeter, 1160741, 1); - result += checkEquals(area, 32415230256.0, 1); - return result; -} - -static int Planimeter15() { - /* Coverage tests, includes Planimeter15 - Planimeter18 (combinations of - * reverse and sign) + calls to testpoint, testedge, geod_polygonarea. */ - struct geod_geodesic g; - struct geod_polygon p; - double lat[] = {2, 1, 3}, lon[] = {1, 2, 3}; - double area, s12, azi1; - double r = 18454562325.45119, - a0 = 510065621724088.5093; /* ellipsoid area */ - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_polygon_init(&p, 0); - geod_polygon_addpoint(&g, &p, lat[0], lon[0]); - geod_polygon_addpoint(&g, &p, lat[1], lon[1]); - geod_polygon_testpoint(&g, &p, lat[2], lon[2], 0, 1, &area, nullptr); - result += checkEquals(area, r, 0.5); - geod_polygon_testpoint(&g, &p, lat[2], lon[2], 0, 0, &area, nullptr); - result += checkEquals(area, r, 0.5); - geod_polygon_testpoint(&g, &p, lat[2], lon[2], 1, 1, &area, nullptr); - result += checkEquals(area, -r, 0.5); - geod_polygon_testpoint(&g, &p, lat[2], lon[2], 1, 0, &area, nullptr); - result += checkEquals(area, a0-r, 0.5); - geod_inverse(&g, lat[1], lon[1], lat[2], lon[2], &s12, &azi1, nullptr); - geod_polygon_testedge(&g, &p, azi1, s12, 0, 1, &area, nullptr); - result += checkEquals(area, r, 0.5); - geod_polygon_testedge(&g, &p, azi1, s12, 0, 0, &area, nullptr); - result += checkEquals(area, r, 0.5); - geod_polygon_testedge(&g, &p, azi1, s12, 1, 1, &area, nullptr); - result += checkEquals(area, -r, 0.5); - geod_polygon_testedge(&g, &p, azi1, s12, 1, 0, &area, nullptr); - result += checkEquals(area, a0-r, 0.5); - geod_polygon_addpoint(&g, &p, lat[2], lon[2]); - geod_polygon_compute(&g, &p, 0, 1, &area, nullptr); - result += checkEquals(area, r, 0.5); - geod_polygon_compute(&g, &p, 0, 0, &area, nullptr); - result += checkEquals(area, r, 0.5); - geod_polygon_compute(&g, &p, 1, 1, &area, nullptr); - result += checkEquals(area, -r, 0.5); - geod_polygon_compute(&g, &p, 1, 0, &area, nullptr); - result += checkEquals(area, a0-r, 0.5); - geod_polygonarea(&g, lat, lon, 3, &area, nullptr); - result += checkEquals(area, r, 0.5); - return result; -} - -static int Planimeter19() { - /* Coverage tests, includes Planimeter19 - Planimeter20 (degenerate - * polygons) + extra cases. */ - struct geod_geodesic g; - struct geod_polygon p; - double area, perim; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_polygon_init(&p, 0); - geod_polygon_compute(&g, &p, 0, 1, &area, &perim); - result += area == 0 ? 0 : 1; - result += perim == 0 ? 0 : 1; - geod_polygon_testpoint(&g, &p, 1, 1, 0, 1, &area, &perim); - result += area == 0 ? 0 : 1; - result += perim == 0 ? 0 : 1; - geod_polygon_testedge(&g, &p, 90, 1000, 0, 1, &area, &perim); - result += checkNaN(area); - result += checkNaN(perim); - geod_polygon_addpoint(&g, &p, 1, 1); - geod_polygon_compute(&g, &p, 0, 1, &area, &perim); - result += area == 0 ? 0 : 1; - result += perim == 0 ? 0 : 1; - geod_polygon_init(&p, 1); - geod_polygon_compute(&g, &p, 0, 1, nullptr, &perim); - result += perim == 0 ? 0 : 1; - geod_polygon_testpoint(&g, &p, 1, 1, 0, 1, nullptr, &perim); - result += perim == 0 ? 0 : 1; - geod_polygon_testedge(&g, &p, 90, 1000, 0, 1, nullptr, &perim); - result += checkNaN(perim); - geod_polygon_addpoint(&g, &p, 1, 1); - geod_polygon_compute(&g, &p, 0, 1, nullptr, &perim); - result += perim == 0 ? 0 : 1; - geod_polygon_addpoint(&g, &p, 1, 1); - geod_polygon_testedge(&g, &p, 90, 1000, 0, 1, nullptr, &perim); - result += checkEquals(perim, 1000, 1e-10); - geod_polygon_testpoint(&g, &p, 2, 2, 0, 1, nullptr, &perim); - result += checkEquals(perim, 156876.149, 0.5e-3); - return result; -} - -static int Planimeter21() { - /* Some test to add code coverage: multiple circlings of pole (includes - * Planimeter21 - Planimeter28) + invocations via testpoint and testedge. */ - struct geod_geodesic g; - struct geod_polygon p; - double area, lat = 45, - a = 39.2144607176828184218, s = 8420705.40957178156285, - r = 39433884866571.4277, /* Area for one circuit */ - a0 = 510065621724088.5093; /* Ellipsoid area */ - int result = 0, i; - geod_init(&g, wgs84_a, wgs84_f); - geod_polygon_init(&p, 0); - geod_polygon_addpoint(&g, &p, lat, 60); - geod_polygon_addpoint(&g, &p, lat, 180); - geod_polygon_addpoint(&g, &p, lat, -60); - geod_polygon_addpoint(&g, &p, lat, 60); - geod_polygon_addpoint(&g, &p, lat, 180); - geod_polygon_addpoint(&g, &p, lat, -60); - for (i = 3; i <= 4; ++i) { - geod_polygon_addpoint(&g, &p, lat, 60); - geod_polygon_addpoint(&g, &p, lat, 180); - geod_polygon_testpoint(&g, &p, lat, -60, 0, 1, &area, nullptr); - result += checkEquals(area, i*r, 0.5); - geod_polygon_testpoint(&g, &p, lat, -60, 0, 0, &area, nullptr); - result += checkEquals(area, i*r, 0.5); - geod_polygon_testpoint(&g, &p, lat, -60, 1, 1, &area, nullptr); - result += checkEquals(area, -i*r, 0.5); - geod_polygon_testpoint(&g, &p, lat, -60, 1, 0, &area, nullptr); - result += checkEquals(area, -i*r + a0, 0.5); - geod_polygon_testedge(&g, &p, a, s, 0, 1, &area, nullptr); - result += checkEquals(area, i*r, 0.5); - geod_polygon_testedge(&g, &p, a, s, 0, 0, &area, nullptr); - result += checkEquals(area, i*r, 0.5); - geod_polygon_testedge(&g, &p, a, s, 1, 1, &area, nullptr); - result += checkEquals(area, -i*r, 0.5); - geod_polygon_testedge(&g, &p, a, s, 1, 0, &area, nullptr); - result += checkEquals(area, -i*r + a0, 0.5); - geod_polygon_addpoint(&g, &p, lat, -60); - geod_polygon_compute(&g, &p, 0, 1, &area, nullptr); - result += checkEquals(area, i*r, 0.5); - geod_polygon_compute(&g, &p, 0, 0, &area, nullptr); - result += checkEquals(area, i*r, 0.5); - geod_polygon_compute(&g, &p, 1, 1, &area, nullptr); - result += checkEquals(area, -i*r, 0.5); - geod_polygon_compute(&g, &p, 1, 0, &area, nullptr); - result += checkEquals(area, -i*r + a0, 0.5); - } - return result; -} - -static int Planimeter29() { - /* Check fix to transitdirect vs transit zero handling inconsistency */ - struct geod_geodesic g; - struct geod_polygon p; - double area; - int result = 0; - geod_init(&g, wgs84_a, wgs84_f); - geod_polygon_init(&p, 0); - geod_polygon_addpoint(&g, &p, 0, 0); - geod_polygon_addedge(&g, &p, 90, 1000); - geod_polygon_addedge(&g, &p, 0, 1000); - geod_polygon_addedge(&g, &p, -90, 1000); - geod_polygon_compute(&g, &p, 0, 1, &area, nullptr); - /* The area should be 1e6. Prior to the fix it was 1e6 - A/2, where - * A = ellipsoid area. */ - result += checkEquals(area, 1000000.0, 0.01); - return result; -} - -int main() { - int n = 0, i; - if ((i = testinverse())) {++n; printf("testinverse fail: %d\n", i);} - if ((i = testdirect())) {++n; printf("testdirect fail: %d\n", i);} - if ((i = testarcdirect())) {++n; printf("testarcdirect fail: %d\n", i);} - if ((i = GeodSolve0())) {++n; printf("GeodSolve0 fail: %d\n", i);} - if ((i = GeodSolve1())) {++n; printf("GeodSolve1 fail: %d\n", i);} - if ((i = GeodSolve2())) {++n; printf("GeodSolve2 fail: %d\n", i);} - if ((i = GeodSolve4())) {++n; printf("GeodSolve4 fail: %d\n", i);} - if ((i = GeodSolve5())) {++n; printf("GeodSolve5 fail: %d\n", i);} - if ((i = GeodSolve6())) {++n; printf("GeodSolve6 fail: %d\n", i);} - if ((i = GeodSolve9())) {++n; printf("GeodSolve9 fail: %d\n", i);} - if ((i = GeodSolve10())) {++n; printf("GeodSolve10 fail: %d\n", i);} - if ((i = GeodSolve11())) {++n; printf("GeodSolve11 fail: %d\n", i);} - if ((i = GeodSolve12())) {++n; printf("GeodSolve12 fail: %d\n", i);} - if ((i = GeodSolve14())) {++n; printf("GeodSolve14 fail: %d\n", i);} - if ((i = GeodSolve15())) {++n; printf("GeodSolve15 fail: %d\n", i);} - if ((i = GeodSolve17())) {++n; printf("GeodSolve17 fail: %d\n", i);} - if ((i = GeodSolve26())) {++n; printf("GeodSolve26 fail: %d\n", i);} - if ((i = GeodSolve28())) {++n; printf("GeodSolve28 fail: %d\n", i);} - if ((i = GeodSolve33())) {++n; printf("GeodSolve33 fail: %d\n", i);} - if ((i = GeodSolve55())) {++n; printf("GeodSolve55 fail: %d\n", i);} - if ((i = GeodSolve59())) {++n; printf("GeodSolve59 fail: %d\n", i);} - if ((i = GeodSolve61())) {++n; printf("GeodSolve61 fail: %d\n", i);} - if ((i = GeodSolve65())) {++n; printf("GeodSolve65 fail: %d\n", i);} - if ((i = GeodSolve67())) {++n; printf("GeodSolve67 fail: %d\n", i);} - if ((i = GeodSolve71())) {++n; printf("GeodSolve71 fail: %d\n", i);} - if ((i = GeodSolve73())) {++n; printf("GeodSolve73 fail: %d\n", i);} - if ((i = GeodSolve74())) {++n; printf("GeodSolve74 fail: %d\n", i);} - if ((i = GeodSolve76())) {++n; printf("GeodSolve76 fail: %d\n", i);} - if ((i = GeodSolve78())) {++n; printf("GeodSolve78 fail: %d\n", i);} - if ((i = GeodSolve80())) {++n; printf("GeodSolve80 fail: %d\n", i);} - if ((i = GeodSolve84())) {++n; printf("GeodSolve84 fail: %d\n", i);} - if ((i = Planimeter0())) {++n; printf("Planimeter0 fail: %d\n", i);} - if ((i = Planimeter5())) {++n; printf("Planimeter5 fail: %d\n", i);} - if ((i = Planimeter6())) {++n; printf("Planimeter6 fail: %d\n", i);} - if ((i = Planimeter12())) {++n; printf("Planimeter12 fail: %d\n", i);} - if ((i = Planimeter13())) {++n; printf("Planimeter13 fail: %d\n", i);} - if ((i = Planimeter15())) {++n; printf("Planimeter15 fail: %d\n", i);} - if ((i = Planimeter19())) {++n; printf("Planimeter19 fail: %d\n", i);} - if ((i = Planimeter21())) {++n; printf("Planimeter21 fail: %d\n", i);} - if ((i = Planimeter29())) {++n; printf("Planimeter29 fail: %d\n", i);} - return n; -} - -/** @endcond */ diff --git a/libs/GeographicLib-1.50.1/legacy/C/inverse.c b/libs/GeographicLib-1.50.1/legacy/C/inverse.c deleted file mode 100644 index ad04dcf6ec502c3874f8139f5f75f8aff9d0bced..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/C/inverse.c +++ /dev/null @@ -1,32 +0,0 @@ -/** - * @file inverse.c - * @brief A test program for geod_inverse() - **********************************************************************/ - -#include -#include "geodesic.h" - -#if defined(_MSC_VER) -/* Squelch warnings about scanf */ -# pragma warning (disable: 4996) -#endif - -/** - * A simple program to solve the inverse geodesic problem. - * - * This program reads in lines with lat1, lon1, lat2, lon2 and prints out lines - * with azi1, azi2, s12 (for the WGS84 ellipsoid). - **********************************************************************/ - -int main() { - double a = 6378137, f = 1/298.257223563; /* WGS84 */ - double lat1, lon1, azi1, lat2, lon2, azi2, s12; - struct geod_geodesic g; - - geod_init(&g, a, f); - while (scanf("%lf %lf %lf %lf", &lat1, &lon1, &lat2, &lon2) == 4) { - geod_inverse(&g, lat1, lon1, lat2, lon2, &s12, &azi1, &azi2); - printf("%.15f %.15f %.10f\n", azi1, azi2, s12); - } - return 0; -} diff --git a/libs/GeographicLib-1.50.1/legacy/C/planimeter.c b/libs/GeographicLib-1.50.1/legacy/C/planimeter.c deleted file mode 100644 index 050de3cec38d053220a1395fee8ad7899bc80687..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/C/planimeter.c +++ /dev/null @@ -1,37 +0,0 @@ -/** - * @file planimeter.c - * @brief A test program for geod_polygon_compute() - **********************************************************************/ - -#include -#include "geodesic.h" - -#if defined(_MSC_VER) -/* Squelch warnings about scanf */ -# pragma warning (disable: 4996) -#endif - -/** - * A simple program to compute the area of a geodesic polygon. - * - * This program reads in lines with lat, lon for each vertex - * of a polygon. At the end of input, the program prints the number of - * vertices, the perimeter of the polygon and its area (for the WGS84 - * ellipsoid). - **********************************************************************/ - -int main() { - double a = 6378137, f = 1/298.257223563; /* WGS84 */ - double lat, lon, A, P; - int n; - struct geod_geodesic g; - struct geod_polygon p; - geod_init(&g, a, f); - geod_polygon_init(&p, 0); - - while (scanf("%lf %lf", &lat, &lon) == 2) - geod_polygon_addpoint(&g, &p, lat, lon); - n = geod_polygon_compute(&g, &p, 0, 1, &A, &P); - printf("%d %.8f %.3f\n", n, P, A); - return 0; -} diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/00README.txt b/libs/GeographicLib-1.50.1/legacy/Fortran/00README.txt deleted file mode 100644 index 489cbc8dae5b04e07524e313f0aa234c0ee68093..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/00README.txt +++ /dev/null @@ -1,32 +0,0 @@ -This is a Fortran implementation of the geodesic algorithms described in - - C. F. F. Karney, - Algorithms for geodesics, - J. Geodesy 87, 43-55 (2013); - https://doi.org/10.1007/s00190-012-0578-z - Addenda: https://geographiclib.sourceforge.io/geod-addenda.html - -For documentation, see - - https://geographiclib.sourceforge.io/html/Fortran/ - -The code in this directory is entirely self-contained. In particular, -it does not depend on the C++ classes. You can compile and link the -example programs directly with something like: - - f95 -o geodinverse geodinverse.for geodesic.for - echo 30 0 29.5 179.5 | ./geodinverse - -Alternatively, you can build the examples using cmake. For example, on -Linux systems you might do: - - mkdir BUILD - cd BUILD - cmake .. - make - echo 30 0 29.5 179.5 | ./geodinverse - -The two tools ngsforward and ngsinverse are replacements for the NGS -tools FORWARD and INVERSE available from - - http://www.ngs.noaa.gov/PC_PROD/Inv_Fwd/ diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/CMakeLists.txt b/libs/GeographicLib-1.50.1/legacy/Fortran/CMakeLists.txt deleted file mode 100644 index dbe08ac4d31c32ff7a891354c8796497c21ed00a..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/CMakeLists.txt +++ /dev/null @@ -1,56 +0,0 @@ -project (GeographicLib-Fortran Fortran) - -cmake_minimum_required (VERSION 3.1.0) - -# Set a default build type for single-configuration cmake generators if -# no build type is set. -if (NOT CMAKE_CONFIGURATION_TYPES AND NOT CMAKE_BUILD_TYPE) - set (CMAKE_BUILD_TYPE Release) -endif () - -# Make the compiler more picky. -if (MSVC) - set_target_properties (${TOOLS} PROPERTIES COMPILE_FLAGS "/W4") -else () - set_target_properties (${TOOLS} PROPERTIES COMPILE_FLAGS - "-Wall -Wextra -pedantic -std=f95 -fimplicit-none -Wno-compare-reals") -endif () - -# Tell Intel compiler to do arithmetic accurately. This is needed to -# stop the compiler from ignoring parentheses in expressions like -# (a + b) + c and from simplifying 0.0 + x to x (which is wrong if -# x = -0.0). -if (CMAKE_Fortran_COMPILER_ID STREQUAL "Intel") - if (MSVC) - set (CMAKE_Fortran_FLAGS - "${CMAKE_Fortran_FLAGS} /fp:precise /Qdiag-disable:11074,11076") - set (CMAKE_Fortan_FLAGS - "${CMAKE_Fortran_FLAGS} -fp-model precise -diag-disable=11074,11076") - endif () -endif () - -if (CONVERT_WARNINGS_TO_ERRORS) - if (MSVC) - set (CMAKE_Fortran_FLAGS "${CMAKE_Fortran_FLAGS} /WX") - else () - set (CMAKE_Fortran_FLAGS "${CMAKE_Fortran_FLAGS} -Werror") - endif () -endif () - -set (TOOLS geoddirect geodinverse planimeter geodtest) - -foreach (TOOL ${TOOLS}) - add_executable (${TOOL} ${TOOL}.for geodesic.for geodesic.inc) -endforeach () - -# Work alikes for NGS geodesic tools. This uses legacy code from NGS -# and so they trigger multiple errors and warnings if compiled with the -# compile flags above. -add_executable (ngsforward ngsforward.for ngscommon.for geodesic.for) -add_executable (ngsinverse ngsinverse.for ngscommon.for geodesic.for) - -# Turn on testing -enable_testing () - -# Run the test suite -add_test (NAME geodtest COMMAND geodtest) diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/geoddirect.for b/libs/GeographicLib-1.50.1/legacy/Fortran/geoddirect.for deleted file mode 100644 index 9e1aefb2356aaa22fbc5f1e4b9319a002c8624d4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/geoddirect.for +++ /dev/null @@ -1,36 +0,0 @@ -*> @file geoddirect.for -*! @brief A test program for direct() - -*> A simple program to solve the direct geodesic problem. -*! -*! This program reads in lines with lat1, lon1, azi1, s12 and prints out -*! lines with lat2, lon2, azi2 (for the WGS84 ellipsoid). - - program geoddirect - implicit none - - include 'geodesic.inc' - - double precision a, f, lat1, lon1, azi1, lat2, lon2, azi2, s12, - + dummy1, dummy2, dummy3, dummy4, dummy5 - integer flags, omask - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - - flags = 0 - omask = 0 - - 10 continue - read(*, *, end=90, err=90) lat1, lon1, azi1, s12 - call direct(a, f, lat1, lon1, azi1, s12, flags, - + lat2, lon2, azi2, omask, - + dummy1, dummy2, dummy3, dummy4, dummy5) - print 20, lat2, lon2, azi2 - 20 format(1x, f20.15, 1x, f20.15, 1x, f20.15) - go to 10 - 90 continue - - stop - end diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/geodesic.for b/libs/GeographicLib-1.50.1/legacy/Fortran/geodesic.for deleted file mode 100644 index ae4e90d0c2bfd9eed695f99750542c899ed3d65e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/geodesic.for +++ /dev/null @@ -1,2312 +0,0 @@ -* The subroutines in this files are documented at -* https://geographiclib.sourceforge.io/html/Fortran/ -* -*> @file geodesic.for -*! @brief Implementation of geodesic routines in Fortran -*! -*! This is a Fortran implementation of the geodesic algorithms described -*! in -*! - C. F. F. Karney, -*! -*! Algorithms for geodesics, -*! J. Geodesy 87, 43--55 (2013); -*! DOI: -*! 10.1007/s00190-012-0578-z; -*! addenda: -*! geod-addenda.html. -*! . -*! The principal advantages of these algorithms over previous ones -*! (e.g., Vincenty, 1975) are -*! - accurate to round off for |f| < 1/50; -*! - the solution of the inverse problem is always found; -*! - differential and integral properties of geodesics are computed. -*! -*! The shortest path between two points on the ellipsoid at (\e lat1, \e -*! lon1) and (\e lat2, \e lon2) is called the geodesic. Its length is -*! \e s12 and the geodesic from point 1 to point 2 has forward azimuths -*! \e azi1 and \e azi2 at the two end points. -*! -*! Traditionally two geodesic problems are considered: -*! - the direct problem -- given \e lat1, \e lon1, \e s12, and \e azi1, -*! determine \e lat2, \e lon2, and \e azi2. This is solved by the -*! subroutine direct(). -*! - the inverse problem -- given \e lat1, \e lon1, \e lat2, \e lon2, -*! determine \e s12, \e azi1, and \e azi2. This is solved by the -*! subroutine invers(). -*! -*! The ellipsoid is specified by its equatorial radius \e a (typically -*! in meters) and flattening \e f. The routines are accurate to round -*! off with double precision arithmetic provided that |f| < -*! 1/50; for the WGS84 ellipsoid, the errors are less than 15 -*! nanometers. (Reasonably accurate results are obtained for |f| -*! < 1/5.) For a prolate ellipsoid, specify \e f < 0. -*! -*! The routines also calculate several other quantities of interest -*! - \e SS12 is the area between the geodesic from point 1 to point 2 -*! and the equator; i.e., it is the area, measured counter-clockwise, -*! of the geodesic quadrilateral with corners (\e lat1,\e lon1), (0,\e -*! lon1), (0,\e lon2), and (\e lat2,\e lon2). -*! - \e m12, the reduced length of the geodesic is defined such that if -*! the initial azimuth is perturbed by \e dazi1 (radians) then the -*! second point is displaced by \e m12 \e dazi1 in the direction -*! perpendicular to the geodesic. On a curved surface the reduced -*! length obeys a symmetry relation, \e m12 + \e m21 = 0. On a flat -*! surface, we have \e m12 = \e s12. -*! - \e MM12 and \e MM21 are geodesic scales. If two geodesics are -*! parallel at point 1 and separated by a small distance \e dt, then -*! they are separated by a distance \e MM12 \e dt at point 2. \e MM21 -*! is defined similarly (with the geodesics being parallel to one -*! another at point 2). On a flat surface, we have \e MM12 = \e MM21 -*! = 1. -*! - \e a12 is the arc length on the auxiliary sphere. This is a -*! construct for converting the problem to one in spherical -*! trigonometry. \e a12 is measured in degrees. The spherical arc -*! length from one equator crossing to the next is always 180°. -*! -*! If points 1, 2, and 3 lie on a single geodesic, then the following -*! addition rules hold: -*! - \e s13 = \e s12 + \e s23 -*! - \e a13 = \e a12 + \e a23 -*! - \e SS13 = \e SS12 + \e SS23 -*! - \e m13 = \e m12 \e MM23 + \e m23 \e MM21 -*! - \e MM13 = \e MM12 \e MM23 − (1 − \e MM12 \e MM21) \e -*! m23 / \e m12 -*! - \e MM31 = \e MM32 \e MM21 − (1 − \e MM23 \e MM32) \e -*! m12 / \e m23 -*! -*! The shortest distance returned by the solution of the inverse problem -*! is (obviously) uniquely defined. However, in a few special cases -*! there are multiple azimuths which yield the same shortest distance. -*! Here is a catalog of those cases: -*! - \e lat1 = −\e lat2 (with neither point at a pole). If \e -*! azi1 = \e azi2, the geodesic is unique. Otherwise there are two -*! geodesics and the second one is obtained by setting [\e azi1, \e -*! azi2] → [\e azi2, \e azi1], [\e MM12, \e MM21] → [\e -*! MM21, \e MM12], \e SS12 → −\e SS12. (This occurs when -*! the longitude difference is near ±180° for oblate -*! ellipsoids.) -*! - \e lon2 = \e lon1 ± 180° (with neither point at a pole). -*! If \e azi1 = 0° or ±180°, the geodesic is unique. -*! Otherwise there are two geodesics and the second one is obtained by -*! setting [\e azi1, \e azi2] → [−\e azi1, −\e azi2], -*! \e SS12 → −\e SS12. (This occurs when \e lat2 is near -*! −\e lat1 for prolate ellipsoids.) -*! - Points 1 and 2 at opposite poles. There are infinitely many -*! geodesics which can be generated by setting [\e azi1, \e azi2] -*! → [\e azi1, \e azi2] + [\e d, −\e d], for arbitrary \e -*! d. (For spheres, this prescription applies when points 1 and 2 are -*! antipodal.) -*! - \e s12 = 0 (coincident points). There are infinitely many -*! geodesics which can be generated by setting [\e azi1, \e azi2] -*! → [\e azi1, \e azi2] + [\e d, \e d], for arbitrary \e d. -*! -*! These routines are a simple transcription of the corresponding C++ -*! classes in -*! GeographicLib. Because of the limitations of Fortran 77, the -*! classes have been replaced by simple subroutines with no attempt to -*! save "state" across subroutine calls. Most of the internal comments -*! have been retained. However, in the process of transcription some -*! documentation has been lost and the documentation for the C++ -*! classes, GeographicLib::Geodesic, GeographicLib::GeodesicLine, and -*! GeographicLib::PolygonAreaT, should be consulted. The C++ code -*! remains the "reference implementation". Think twice about -*! restructuring the internals of the Fortran code since this may make -*! porting fixes from the C++ code more difficult. -*! -*! Copyright (c) Charles Karney (2012-2019) and -*! licensed under the MIT/X11 License. For more information, see -*! https://geographiclib.sourceforge.io/ -*! -*! This library was distributed with -*! GeographicLib 1.50. - -*> Solve the direct geodesic problem -*! -*! @param[in] a the equatorial radius (meters). -*! @param[in] f the flattening of the ellipsoid. Setting \e f = 0 gives -*! a sphere. Negative \e f gives a prolate ellipsoid. -*! @param[in] lat1 latitude of point 1 (degrees). -*! @param[in] lon1 longitude of point 1 (degrees). -*! @param[in] azi1 azimuth at point 1 (degrees). -*! @param[in] s12a12 if \e arcmode is not set, this is the distance -*! from point 1 to point 2 (meters); otherwise it is the arc -*! length from point 1 to point 2 (degrees); it can be negative. -*! @param[in] flags a bitor'ed combination of the \e arcmode and \e -*! unroll flags. -*! @param[out] lat2 latitude of point 2 (degrees). -*! @param[out] lon2 longitude of point 2 (degrees). -*! @param[out] azi2 (forward) azimuth at point 2 (degrees). -*! @param[in] omask a bitor'ed combination of mask values -*! specifying which of the following parameters should be set. -*! @param[out] a12s12 if \e arcmode is not set, this is the arc length -*! from point 1 to point 2 (degrees); otherwise it is the distance -*! from point 1 to point 2 (meters). -*! @param[out] m12 reduced length of geodesic (meters). -*! @param[out] MM12 geodesic scale of point 2 relative to point 1 -*! (dimensionless). -*! @param[out] MM21 geodesic scale of point 1 relative to point 2 -*! (dimensionless). -*! @param[out] SS12 area under the geodesic (meters2). -*! -*! \e flags is an integer in [0, 4) whose binary bits are interpreted -*! as follows -*! - 1 the \e arcmode flag -*! - 2 the \e unroll flag -*! . -*! If \e arcmode is not set, \e s12a12 is \e s12 and \e a12s12 is \e -*! a12; otherwise, \e s12a12 is \e a12 and \e a12s12 is \e s12. It \e -*! unroll is not set, the value \e lon2 returned is in the range -*! [−180°, 180°]; if unroll is set, the longitude variable -*! is "unrolled" so that \e lon2 − \e lon1 indicates how many -*! times and in what sense the geodesic encircles the ellipsoid. -*! -*! \e omask is an integer in [0, 16) whose binary bits are interpreted -*! as follows -*! - 1 return \e a12 -*! - 2 return \e m12 -*! - 4 return \e MM12 and \e MM21 -*! - 8 return \e SS12 -*! -*! \e lat1 should be in the range [−90°, 90°]. The value -*! \e azi2 returned is in the range [−180°, 180°]. -*! -*! If either point is at a pole, the azimuth is defined by keeping the -*! longitude fixed, writing \e lat = \e lat = ±(90° − -*! ε), and taking the limit ε → 0+. An arc length -*! greater that 180° signifies a geodesic which is not a shortest -*! path. (For a prolate ellipsoid, an additional condition is necessary -*! for a shortest path: the longitudinal extent must not exceed of -*! 180°.) -*! -*! Example of use: -*! \include geoddirect.for - - subroutine direct(a, f, lat1, lon1, azi1, s12a12, flags, - + lat2, lon2, azi2, omask, a12s12, m12, MM12, MM21, SS12) -* input - double precision a, f, lat1, lon1, azi1, s12a12 - integer flags, omask -* output - double precision lat2, lon2, azi2 -* optional output - double precision a12s12, m12, MM12, MM21, SS12 - - integer ord, nC1, nC1p, nC2, nA3, nA3x, nC3, nC3x, nC4, nC4x - parameter (ord = 6, nC1 = ord, nC1p = ord, - + nC2 = ord, nA3 = ord, nA3x = nA3, - + nC3 = ord, nC3x = (nC3 * (nC3 - 1)) / 2, - + nC4 = ord, nC4x = (nC4 * (nC4 + 1)) / 2) - double precision A3x(0:nA3x-1), C3x(0:nC3x-1), C4x(0:nC4x-1), - + C1a(nC1), C1pa(nC1p), C2a(nC2), C3a(nC3-1), C4a(0:nC4-1) - - double precision atanhx, hypotx, - + AngNm, AngRnd, TrgSum, A1m1f, A2m1f, A3f, atn2dx, LatFix - logical arcmod, unroll, arcp, redlp, scalp, areap - double precision e2, f1, ep2, n, b, c2, - + salp0, calp0, k2, eps, - + salp1, calp1, ssig1, csig1, cbet1, sbet1, dn1, somg1, comg1, - + salp2, calp2, ssig2, csig2, sbet2, cbet2, dn2, somg2, comg2, - + ssig12, csig12, salp12, calp12, omg12, lam12, lon12, - + sig12, stau1, ctau1, tau12, t, s, c, serr, E, - + A1m1, A2m1, A3c, A4, AB1, AB2, - + B11, B12, B21, B22, B31, B41, B42, J12 - - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2 - logical init - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - - if (.not.init) call geoini - - e2 = f * (2 - f) - ep2 = e2 / (1 - e2) - f1 = 1 - f - n = f / (2 - f) - b = a * f1 - c2 = 0 - - arcmod = mod(flags/1, 2) .eq. 1 - unroll = mod(flags/2, 2) .eq. 1 - - arcp = mod(omask/1, 2) .eq. 1 - redlp = mod(omask/2, 2) .eq. 1 - scalp = mod(omask/4, 2) .eq. 1 - areap = mod(omask/8, 2) .eq. 1 - - if (areap) then - if (e2 .eq. 0) then - c2 = a**2 - else if (e2 .gt. 0) then - c2 = (a**2 + b**2 * atanhx(sqrt(e2)) / sqrt(e2)) / 2 - else - c2 = (a**2 + b**2 * atan(sqrt(abs(e2))) / sqrt(abs(e2))) / 2 - end if - end if - - call A3cof(n, A3x) - call C3cof(n, C3x) - if (areap) call C4cof(n, C4x) - -* Guard against underflow in salp0 - call sncsdx(AngRnd(azi1), salp1, calp1) - - call sncsdx(AngRnd(LatFix(lat1)), sbet1, cbet1) - sbet1 = f1 * sbet1 - call norm2x(sbet1, cbet1) -* Ensure cbet1 = +dbleps at poles - cbet1 = max(tiny, cbet1) - dn1 = sqrt(1 + ep2 * sbet1**2) - -* Evaluate alp0 from sin(alp1) * cos(bet1) = sin(alp0), -* alp0 in [0, pi/2 - |bet1|] - salp0 = salp1 * cbet1 -* Alt: calp0 = hypot(sbet1, calp1 * cbet1). The following -* is slightly better (consider the case salp1 = 0). - calp0 = hypotx(calp1, salp1 * sbet1) -* Evaluate sig with tan(bet1) = tan(sig1) * cos(alp1). -* sig = 0 is nearest northward crossing of equator. -* With bet1 = 0, alp1 = pi/2, we have sig1 = 0 (equatorial line). -* With bet1 = pi/2, alp1 = -pi, sig1 = pi/2 -* With bet1 = -pi/2, alp1 = 0 , sig1 = -pi/2 -* Evaluate omg1 with tan(omg1) = sin(alp0) * tan(sig1). -* With alp0 in (0, pi/2], quadrants for sig and omg coincide. -* No atan2(0,0) ambiguity at poles since cbet1 = +dbleps. -* With alp0 = 0, omg1 = 0 for alp1 = 0, omg1 = pi for alp1 = pi. - ssig1 = sbet1 - somg1 = salp0 * sbet1 - if (sbet1 .ne. 0 .or. calp1 .ne. 0) then - csig1 = cbet1 * calp1 - else - csig1 = 1 - end if - comg1 = csig1 -* sig1 in (-pi, pi] - call norm2x(ssig1, csig1) -* norm2x(somg1, comg1); -- don't need to normalize! - - k2 = calp0**2 * ep2 - eps = k2 / (2 * (1 + sqrt(1 + k2)) + k2) - - A1m1 = A1m1f(eps) - call C1f(eps, C1a) - B11 = TrgSum(.true., ssig1, csig1, C1a, nC1) - s = sin(B11) - c = cos(B11) -* tau1 = sig1 + B11 - stau1 = ssig1 * c + csig1 * s - ctau1 = csig1 * c - ssig1 * s -* Not necessary because C1pa reverts C1a -* B11 = -TrgSum(true, stau1, ctau1, C1pa, nC1p) - - if (.not. arcmod) call C1pf(eps, C1pa) - - if (redlp .or. scalp) then - A2m1 = A2m1f(eps) - call C2f(eps, C2a) - B21 = TrgSum(.true., ssig1, csig1, C2a, nC2) - else -* Suppress bogus warnings about unitialized variables - A2m1 = 0 - B21 = 0 - end if - - call C3f(eps, C3x, C3a) - A3c = -f * salp0 * A3f(eps, A3x) - B31 = TrgSum(.true., ssig1, csig1, C3a, nC3-1) - - if (areap) then - call C4f(eps, C4x, C4a) -* Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0) - A4 = a**2 * calp0 * salp0 * e2 - B41 = TrgSum(.false., ssig1, csig1, C4a, nC4) - else -* Suppress bogus warnings about unitialized variables - A4 = 0 - B41 = 0 - end if - - if (arcmod) then -* Interpret s12a12 as spherical arc length - sig12 = s12a12 * degree - call sncsdx(s12a12, ssig12, csig12) -* Suppress bogus warnings about unitialized variables - B12 = 0 - else -* Interpret s12a12 as distance - tau12 = s12a12 / (b * (1 + A1m1)) - s = sin(tau12) - c = cos(tau12) -* tau2 = tau1 + tau12 - B12 = - TrgSum(.true., - + stau1 * c + ctau1 * s, ctau1 * c - stau1 * s, C1pa, nC1p) - sig12 = tau12 - (B12 - B11) - ssig12 = sin(sig12) - csig12 = cos(sig12) - if (abs(f) .gt. 0.01d0) then -* Reverted distance series is inaccurate for |f| > 1/100, so correct -* sig12 with 1 Newton iteration. The following table shows the -* approximate maximum error for a = WGS_a() and various f relative to -* GeodesicExact. -* erri = the error in the inverse solution (nm) -* errd = the error in the direct solution (series only) (nm) -* errda = the error in the direct solution (series + 1 Newton) (nm) -* -* f erri errd errda -* -1/5 12e6 1.2e9 69e6 -* -1/10 123e3 12e6 765e3 -* -1/20 1110 108e3 7155 -* -1/50 18.63 200.9 27.12 -* -1/100 18.63 23.78 23.37 -* -1/150 18.63 21.05 20.26 -* 1/150 22.35 24.73 25.83 -* 1/100 22.35 25.03 25.31 -* 1/50 29.80 231.9 30.44 -* 1/20 5376 146e3 10e3 -* 1/10 829e3 22e6 1.5e6 -* 1/5 157e6 3.8e9 280e6 - ssig2 = ssig1 * csig12 + csig1 * ssig12 - csig2 = csig1 * csig12 - ssig1 * ssig12 - B12 = TrgSum(.true., ssig2, csig2, C1a, nC1) - serr = (1 + A1m1) * (sig12 + (B12 - B11)) - s12a12 / b - sig12 = sig12 - serr / sqrt(1 + k2 * ssig2**2) - ssig12 = sin(sig12) - csig12 = cos(sig12) -* Update B12 below - end if - end if - -* sig2 = sig1 + sig12 - ssig2 = ssig1 * csig12 + csig1 * ssig12 - csig2 = csig1 * csig12 - ssig1 * ssig12 - dn2 = sqrt(1 + k2 * ssig2**2) - if (arcmod .or. abs(f) .gt. 0.01d0) - + B12 = TrgSum(.true., ssig2, csig2, C1a, nC1) - AB1 = (1 + A1m1) * (B12 - B11) - -* sin(bet2) = cos(alp0) * sin(sig2) - sbet2 = calp0 * ssig2 -* Alt: cbet2 = hypot(csig2, salp0 * ssig2) - cbet2 = hypotx(salp0, calp0 * csig2) - if (cbet2 .eq. 0) then -* I.e., salp0 = 0, csig2 = 0. Break the degeneracy in this case - cbet2 = tiny - csig2 = cbet2 - end if -* tan(omg2) = sin(alp0) * tan(sig2) -* No need to normalize - somg2 = salp0 * ssig2 - comg2 = csig2 -* tan(alp0) = cos(sig2)*tan(alp2) -* No need to normalize - salp2 = salp0 - calp2 = calp0 * csig2 -* East or west going? - E = sign(1d0, salp0) -* omg12 = omg2 - omg1 - if (unroll) then - omg12 = E * (sig12 - + - (atan2( ssig2, csig2) - atan2( ssig1, csig1)) - + + (atan2(E * somg2, comg2) - atan2(E * somg1, comg1))) - else - omg12 = atan2(somg2 * comg1 - comg2 * somg1, - + comg2 * comg1 + somg2 * somg1) - end if - - lam12 = omg12 + A3c * - + ( sig12 + (TrgSum(.true., ssig2, csig2, C3a, nC3-1) - + - B31)) - lon12 = lam12 / degree - if (unroll) then - lon2 = lon1 + lon12 - else - lon2 = AngNm(AngNm(lon1) + AngNm(lon12)) - end if - lat2 = atn2dx(sbet2, f1 * cbet2) - azi2 = atn2dx(salp2, calp2) - - if (redlp .or. scalp) then - B22 = TrgSum(.true., ssig2, csig2, C2a, nC2) - AB2 = (1 + A2m1) * (B22 - B21) - J12 = (A1m1 - A2m1) * sig12 + (AB1 - AB2) - end if -* Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure -* accurate cancellation in the case of coincident points. - if (redlp) m12 = b * ((dn2 * (csig1 * ssig2) - - + dn1 * (ssig1 * csig2)) - csig1 * csig2 * J12) - if (scalp) then - t = k2 * (ssig2 - ssig1) * (ssig2 + ssig1) / (dn1 + dn2) - MM12 = csig12 + (t * ssig2 - csig2 * J12) * ssig1 / dn1 - MM21 = csig12 - (t * ssig1 - csig1 * J12) * ssig2 / dn2 - end if - - if (areap) then - B42 = TrgSum(.false., ssig2, csig2, C4a, nC4) - if (calp0 .eq. 0 .or. salp0 .eq. 0) then -* alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * calp1 - calp2 * salp1 - calp12 = calp2 * calp1 + salp2 * salp1 - else -* tan(alp) = tan(alp0) * sec(sig) -* tan(alp2-alp1) = (tan(alp2) -tan(alp1)) / (tan(alp2)*tan(alp1)+1) -* = calp0 * salp0 * (csig1-csig2) / (salp0^2 + calp0^2 * csig1*csig2) -* If csig12 > 0, write -* csig1 - csig2 = ssig12 * (csig1 * ssig12 / (1 + csig12) + ssig1) -* else -* csig1 - csig2 = csig1 * (1 - csig12) + ssig12 * ssig1 -* No need to normalize - if (csig12 .le. 0) then - salp12 = csig1 * (1 - csig12) + ssig12 * ssig1 - else - salp12 = ssig12 * (csig1 * ssig12 / (1 + csig12) + ssig1) - end if - salp12 = calp0 * salp0 * salp12 - calp12 = salp0**2 + calp0**2 * csig1 * csig2 - end if - SS12 = c2 * atan2(salp12, calp12) + A4 * (B42 - B41) - end if - - if (arcp) then - if (arcmod) then - a12s12 = b * ((1 + A1m1) * sig12 + AB1) - else - a12s12 = sig12 / degree - end if - end if - - return - end - -*> Solve the inverse geodesic problem. -*! -*! @param[in] a the equatorial radius (meters). -*! @param[in] f the flattening of the ellipsoid. Setting \e f = 0 gives -*! a sphere. Negative \e f gives a prolate ellipsoid. -*! @param[in] lat1 latitude of point 1 (degrees). -*! @param[in] lon1 longitude of point 1 (degrees). -*! @param[in] lat2 latitude of point 2 (degrees). -*! @param[in] lon2 longitude of point 2 (degrees). -*! @param[out] s12 distance from point 1 to point 2 (meters). -*! @param[out] azi1 azimuth at point 1 (degrees). -*! @param[out] azi2 (forward) azimuth at point 2 (degrees). -*! @param[in] omask a bitor'ed combination of mask values -*! specifying which of the following parameters should be set. -*! @param[out] a12 arc length from point 1 to point 2 (degrees). -*! @param[out] m12 reduced length of geodesic (meters). -*! @param[out] MM12 geodesic scale of point 2 relative to point 1 -*! (dimensionless). -*! @param[out] MM21 geodesic scale of point 1 relative to point 2 -*! (dimensionless). -*! @param[out] SS12 area under the geodesic (meters2). -*! -*! \e omask is an integer in [0, 16) whose binary bits are interpreted -*! as follows -*! - 1 return \e a12 -*! - 2 return \e m12 -*! - 4 return \e MM12 and \e MM21 -*! - 8 return \e SS12 -*! -*! \e lat1 and \e lat2 should be in the range [−90°, 90°]. -*! The values of \e azi1 and \e azi2 returned are in the range -*! [−180°, 180°]. -*! -*! If either point is at a pole, the azimuth is defined by keeping the -*! longitude fixed, writing \e lat = ±(90° − -*! ε), and taking the limit ε → 0+. -*! -*! The solution to the inverse problem is found using Newton's method. -*! If this fails to converge (this is very unlikely in geodetic -*! applications but does occur for very eccentric ellipsoids), then the -*! bisection method is used to refine the solution. -*! -*! Example of use: -*! \include geodinverse.for - - subroutine invers(a, f, lat1, lon1, lat2, lon2, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) -* input - double precision a, f, lat1, lon1, lat2, lon2 - integer omask -* output - double precision s12, azi1, azi2 -* optional output - double precision a12, m12, MM12, MM21, SS12 - - integer ord, nA3, nA3x, nC3, nC3x, nC4, nC4x, nC - parameter (ord = 6, nA3 = ord, nA3x = nA3, - + nC3 = ord, nC3x = (nC3 * (nC3 - 1)) / 2, - + nC4 = ord, nC4x = (nC4 * (nC4 + 1)) / 2, - + nC = ord) - double precision A3x(0:nA3x-1), C3x(0:nC3x-1), C4x(0:nC4x-1), - + Ca(nC) - - double precision atanhx, hypotx, - + AngDif, AngRnd, TrgSum, Lam12f, InvSta, atn2dx, LatFix - integer latsgn, lonsgn, swapp, numit - logical arcp, redlp, scalp, areap, merid, tripn, tripb - - double precision e2, f1, ep2, n, b, c2, - + lat1x, lat2x, salp0, calp0, k2, eps, - + salp1, calp1, ssig1, csig1, cbet1, sbet1, dbet1, dn1, - + salp2, calp2, ssig2, csig2, sbet2, cbet2, dbet2, dn2, - + slam12, clam12, salp12, calp12, omg12, lam12, lon12, lon12s, - + salp1a, calp1a, salp1b, calp1b, - + dalp1, sdalp1, cdalp1, nsalp1, alp12, somg12, comg12, domg12, - + sig12, v, dv, dnm, dummy, - + A4, B41, B42, s12x, m12x, a12x, sdomg12, cdomg12 - - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2, lmask - logical init - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - - if (.not.init) call geoini - - f1 = 1 - f - e2 = f * (2 - f) - ep2 = e2 / f1**2 - n = f / ( 2 - f) - b = a * f1 - c2 = 0 - - arcp = mod(omask/1, 2) .eq. 1 - redlp = mod(omask/2, 2) .eq. 1 - scalp = mod(omask/4, 2) .eq. 1 - areap = mod(omask/8, 2) .eq. 1 - if (scalp) then - lmask = 16 + 2 + 4 - else - lmask = 16 + 2 - end if - - if (areap) then - if (e2 .eq. 0) then - c2 = a**2 - else if (e2 .gt. 0) then - c2 = (a**2 + b**2 * atanhx(sqrt(e2)) / sqrt(e2)) / 2 - else - c2 = (a**2 + b**2 * atan(sqrt(abs(e2))) / sqrt(abs(e2))) / 2 - end if - end if - - call A3cof(n, A3x) - call C3cof(n, C3x) - if (areap) call C4cof(n, C4x) - -* Compute longitude difference (AngDiff does this carefully). Result is -* in [-180, 180] but -180 is only for west-going geodesics. 180 is for -* east-going and meridional geodesics. -* If very close to being on the same half-meridian, then make it so. - lon12 = AngDif(lon1, lon2, lon12s) -* Make longitude difference positive. - if (lon12 .ge. 0) then - lonsgn = 1 - else - lonsgn = -1 - end if - lon12 = lonsgn * AngRnd(lon12) - lon12s = AngRnd((180 - lon12) - lonsgn * lon12s) - lam12 = lon12 * degree - if (lon12 .gt. 90) then - call sncsdx(lon12s, slam12, clam12) - clam12 = -clam12 - else - call sncsdx(lon12, slam12, clam12) - end if - -* If really close to the equator, treat as on equator. - lat1x = AngRnd(LatFix(lat1)) - lat2x = AngRnd(LatFix(lat2)) -* Swap points so that point with higher (abs) latitude is point 1 -* If one latitude is a nan, then it becomes lat1. - if (abs(lat1x) .lt. abs(lat2x)) then - swapp = -1 - else - swapp = 1 - end if - if (swapp .lt. 0) then - lonsgn = -lonsgn - call swap(lat1x, lat2x) - end if -* Make lat1 <= 0 - if (lat1x .lt. 0) then - latsgn = 1 - else - latsgn = -1 - end if - lat1x = lat1x * latsgn - lat2x = lat2x * latsgn -* Now we have -* -* 0 <= lon12 <= 180 -* -90 <= lat1 <= 0 -* lat1 <= lat2 <= -lat1 -* -* longsign, swapp, latsgn register the transformation to bring the -* coordinates to this canonical form. In all cases, 1 means no change -* was made. We make these transformations so that there are few cases -* to check, e.g., on verifying quadrants in atan2. In addition, this -* enforces some symmetries in the results returned. - - call sncsdx(lat1x, sbet1, cbet1) - sbet1 = f1 * sbet1 - call norm2x(sbet1, cbet1) -* Ensure cbet1 = +dbleps at poles - cbet1 = max(tiny, cbet1) - - call sncsdx(lat2x, sbet2, cbet2) - sbet2 = f1 * sbet2 - call norm2x(sbet2, cbet2) -* Ensure cbet2 = +dbleps at poles - cbet2 = max(tiny, cbet2) - -* If cbet1 < -sbet1, then cbet2 - cbet1 is a sensitive measure of the -* |bet1| - |bet2|. Alternatively (cbet1 >= -sbet1), abs(sbet2) + sbet1 -* is a better measure. This logic is used in assigning calp2 in -* Lambda12. Sometimes these quantities vanish and in that case we force -* bet2 = +/- bet1 exactly. An example where is is necessary is the -* inverse problem 48.522876735459 0 -48.52287673545898293 -* 179.599720456223079643 which failed with Visual Studio 10 (Release and -* Debug) - - if (cbet1 .lt. -sbet1) then - if (cbet2 .eq. cbet1) sbet2 = sign(sbet1, sbet2) - else - if (abs(sbet2) .eq. -sbet1) cbet2 = cbet1 - end if - - dn1 = sqrt(1 + ep2 * sbet1**2) - dn2 = sqrt(1 + ep2 * sbet2**2) - -* Suppress bogus warnings about unitialized variables - a12x = 0 - merid = lat1x .eq. -90 .or. slam12 .eq. 0 - - if (merid) then - -* Endpoints are on a single full meridian, so the geodesic might lie on -* a meridian. - -* Head to the target longitude - calp1 = clam12 - salp1 = slam12 -* At the target we're heading north - calp2 = 1 - salp2 = 0 - -* tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1 - csig1 = calp1 * cbet1 - ssig2 = sbet2 - csig2 = calp2 * cbet2 - -* sig12 = sig2 - sig1 - sig12 = atan2(0d0 + max(0d0, csig1 * ssig2 - ssig1 * csig2), - + csig1 * csig2 + ssig1 * ssig2) - call Lengs(n, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2, - + cbet1, cbet2, lmask, - + s12x, m12x, dummy, MM12, MM21, ep2, Ca) - -* Add the check for sig12 since zero length geodesics might yield m12 < -* 0. Test case was -* -* echo 20.001 0 20.001 0 | GeodSolve -i -* -* In fact, we will have sig12 > pi/2 for meridional geodesic which is -* not a shortest path. - if (sig12 .lt. 1 .or. m12x .ge. 0) then - if (sig12 .lt. 3 * tiny) then - sig12 = 0 - m12x = 0 - s12x = 0 - end if - m12x = m12x * b - s12x = s12x * b - a12x = sig12 / degree - else -* m12 < 0, i.e., prolate and too close to anti-podal - merid = .false. - end if - end if - - omg12 = 0 -* somg12 > 1 marks that it needs to be calculated - somg12 = 2 - comg12 = 0 - if (.not. merid .and. sbet1 .eq. 0 .and. - + (f .le. 0 .or. lon12s .ge. f * 180)) then - -* Geodesic runs along equator - calp1 = 0 - calp2 = 0 - salp1 = 1 - salp2 = 1 - s12x = a * lam12 - sig12 = lam12 / f1 - omg12 = sig12 - m12x = b * sin(sig12) - if (scalp) then - MM12 = cos(sig12) - MM21 = MM12 - end if - a12x = lon12 / f1 - else if (.not. merid) then -* Now point1 and point2 belong within a hemisphere bounded by a -* meridian and geodesic is neither meridional or equatorial. - -* Figure a starting point for Newton's method - sig12 = InvSta(sbet1, cbet1, dn1, sbet2, cbet2, dn2, lam12, - + slam12, clam12, f, A3x, salp1, calp1, salp2, calp2, dnm, Ca) - - if (sig12 .ge. 0) then -* Short lines (InvSta sets salp2, calp2, dnm) - s12x = sig12 * b * dnm - m12x = dnm**2 * b * sin(sig12 / dnm) - if (scalp) then - MM12 = cos(sig12 / dnm) - MM21 = MM12 - end if - a12x = sig12 / degree - omg12 = lam12 / (f1 * dnm) - else - -* Newton's method. This is a straightforward solution of f(alp1) = -* lambda12(alp1) - lam12 = 0 with one wrinkle. f(alp) has exactly one -* root in the interval (0, pi) and its derivative is positive at the -* root. Thus f(alp) is positive for alp > alp1 and negative for alp < -* alp1. During the course of the iteration, a range (alp1a, alp1b) is -* maintained which brackets the root and with each evaluation of -* f(alp) the range is shrunk, if possible. Newton's method is -* restarted whenever the derivative of f is negative (because the new -* value of alp1 is then further from the solution) or if the new -* estimate of alp1 lies outside (0,pi); in this case, the new starting -* guess is taken to be (alp1a + alp1b) / 2. - -* Bracketing range - salp1a = tiny - calp1a = 1 - salp1b = tiny - calp1b = -1 - tripn = .false. - tripb = .false. - do 10 numit = 0, maxit2-1 -* the WGS84 test set: mean = 1.47, sd = 1.25, max = 16 -* WGS84 and random input: mean = 2.85, sd = 0.60 - v = Lam12f(sbet1, cbet1, dn1, sbet2, cbet2, dn2, - + salp1, calp1, slam12, clam12, f, A3x, C3x, salp2, calp2, - + sig12, ssig1, csig1, ssig2, csig2, - + eps, domg12, numit .lt. maxit1, dv, Ca) -* Reversed test to allow escape with NaNs - if (tripn) then - dummy = 8 - else - dummy = 1 - end if - if (tripb .or. .not. (abs(v) .ge. dummy * tol0)) - + go to 20 -* Update bracketing values - if (v .gt. 0 .and. (numit .gt. maxit1 .or. - + calp1/salp1 .gt. calp1b/salp1b)) then - salp1b = salp1 - calp1b = calp1 - else if (v .lt. 0 .and. (numit .gt. maxit1 .or. - + calp1/salp1 .lt. calp1a/salp1a)) then - salp1a = salp1 - calp1a = calp1 - end if - if (numit .lt. maxit1 .and. dv .gt. 0) then - dalp1 = -v/dv - sdalp1 = sin(dalp1) - cdalp1 = cos(dalp1) - nsalp1 = salp1 * cdalp1 + calp1 * sdalp1 - if (nsalp1 .gt. 0 .and. abs(dalp1) .lt. pi) then - calp1 = calp1 * cdalp1 - salp1 * sdalp1 - salp1 = nsalp1 - call norm2x(salp1, calp1) -* In some regimes we don't get quadratic convergence because -* slope -> 0. So use convergence conditions based on dbleps -* instead of sqrt(dbleps). - tripn = abs(v) .le. 16 * tol0 - go to 10 - end if - end if -* Either dv was not positive or updated value was outside legal -* range. Use the midpoint of the bracket as the next estimate. -* This mechanism is not needed for the WGS84 ellipsoid, but it does -* catch problems with more eccentric ellipsoids. Its efficacy is -* such for the WGS84 test set with the starting guess set to alp1 = -* 90deg: -* the WGS84 test set: mean = 5.21, sd = 3.93, max = 24 -* WGS84 and random input: mean = 4.74, sd = 0.99 - salp1 = (salp1a + salp1b)/2 - calp1 = (calp1a + calp1b)/2 - call norm2x(salp1, calp1) - tripn = .false. - tripb = abs(salp1a - salp1) + (calp1a - calp1) .lt. tolb - + .or. abs(salp1 - salp1b) + (calp1 - calp1b) .lt. tolb - 10 continue - 20 continue - call Lengs(eps, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2, - + cbet1, cbet2, lmask, - + s12x, m12x, dummy, MM12, MM21, ep2, Ca) - m12x = m12x * b - s12x = s12x * b - a12x = sig12 / degree - if (areap) then - sdomg12 = sin(domg12) - cdomg12 = cos(domg12) - somg12 = slam12 * cdomg12 - clam12 * sdomg12 - comg12 = clam12 * cdomg12 + slam12 * sdomg12 - end if - end if - end if - -* Convert -0 to 0 - s12 = 0 + s12x - if (redlp) m12 = 0 + m12x - - if (areap) then -* From Lambda12: sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1 - calp0 = hypotx(calp1, salp1 * sbet1) - if (calp0 .ne. 0 .and. salp0 .ne. 0) then -* From Lambda12: tan(bet) = tan(sig) * cos(alp) - ssig1 = sbet1 - csig1 = calp1 * cbet1 - ssig2 = sbet2 - csig2 = calp2 * cbet2 - k2 = calp0**2 * ep2 - eps = k2 / (2 * (1 + sqrt(1 + k2)) + k2) -* Multiplier = a^2 * e^2 * cos(alpha0) * sin(alpha0). - A4 = a**2 * calp0 * salp0 * e2 - call norm2x(ssig1, csig1) - call norm2x(ssig2, csig2) - call C4f(eps, C4x, Ca) - B41 = TrgSum(.false., ssig1, csig1, Ca, nC4) - B42 = TrgSum(.false., ssig2, csig2, Ca, nC4) - SS12 = A4 * (B42 - B41) - else -* Avoid problems with indeterminate sig1, sig2 on equator - SS12 = 0 - end if - - if (.not. merid .and. somg12 .gt. 1) then - somg12 = sin(omg12) - comg12 = cos(omg12) - end if - - if (.not. merid .and. comg12 .ge. 0.7071d0 - + .and. sbet2 - sbet1 .lt. 1.75d0) then -* Use tan(Gamma/2) = tan(omg12/2) -* * (tan(bet1/2)+tan(bet2/2))/(1+tan(bet1/2)*tan(bet2/2)) -* with tan(x/2) = sin(x)/(1+cos(x)) - domg12 = 1 + comg12 - dbet1 = 1 + cbet1 - dbet2 = 1 + cbet2 - alp12 = 2 * atan2(somg12 * (sbet1 * dbet2 + sbet2 * dbet1), - + domg12 * ( sbet1 * sbet2 + dbet1 * dbet2 ) ) - else -* alp12 = alp2 - alp1, used in atan2 so no need to normalize - salp12 = salp2 * calp1 - calp2 * salp1 - calp12 = calp2 * calp1 + salp2 * salp1 -* The right thing appears to happen if alp1 = +/-180 and alp2 = 0, viz -* salp12 = -0 and alp12 = -180. However this depends on the sign -* being attached to 0 correctly. The following ensures the correct -* behavior. - if (salp12 .eq. 0 .and. calp12 .lt. 0) then - salp12 = tiny * calp1 - calp12 = -1 - end if - alp12 = atan2(salp12, calp12) - end if - SS12 = SS12 + c2 * alp12 - SS12 = SS12 * swapp * lonsgn * latsgn -* Convert -0 to 0 - SS12 = 0 + SS12 - end if - -* Convert calp, salp to azimuth accounting for lonsgn, swapp, latsgn. - if (swapp .lt. 0) then - call swap(salp1, salp2) - call swap(calp1, calp2) - if (scalp) call swap(MM12, MM21) - end if - - salp1 = salp1 * swapp * lonsgn - calp1 = calp1 * swapp * latsgn - salp2 = salp2 * swapp * lonsgn - calp2 = calp2 * swapp * latsgn - - azi1 = atn2dx(salp1, calp1) - azi2 = atn2dx(salp2, calp2) - - if (arcp) a12 = a12x - - return - end - -*> Determine the area of a geodesic polygon -*! -*! @param[in] a the equatorial radius (meters). -*! @param[in] f the flattening of the ellipsoid. Setting \e f = 0 gives -*! a sphere. Negative \e f gives a prolate ellipsoid. -*! @param[in] lats an array of the latitudes of the vertices (degrees). -*! @param[in] lons an array of the longitudes of the vertices (degrees). -*! @param[in] n the number of vertices. -*! @param[out] AA the (signed) area of the polygon (meters2). -*! @param[out] PP the perimeter of the polygon. -*! -*! \e lats should be in the range [−90°, 90°]. -*! -*! Arbitrarily complex polygons are allowed. In the case of -*! self-intersecting polygons the area is accumulated "algebraically", -*! e.g., the areas of the 2 loops in a figure-8 polygon will partially -*! cancel. There's no need to "close" the polygon by repeating the -*! first vertex. The area returned is signed with counter-clockwise -*! traversal being treated as positive. - - subroutine area(a, f, lats, lons, n, AA, PP) -* input - integer n - double precision a, f, lats(n), lons(n) -* output - double precision AA, PP - - integer i, omask, cross, trnsit - double precision s12, azi1, azi2, dummy, SS12, b, e2, c2, area0, - + atanhx, Aacc(2), Pacc(2) - - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2 - logical init - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - - omask = 8 - call accini(Aacc) - call accini(Pacc) - cross = 0 - do 10 i = 0, n-1 - call invers(a, f, lats(i+1), lons(i+1), - + lats(mod(i+1,n)+1), lons(mod(i+1,n)+1), - + s12, azi1, azi2, omask, dummy, dummy, dummy, dummy, SS12) - call accadd(Pacc, s12) - call accadd(Aacc, -SS12) - cross = cross + trnsit(lons(i+1), lons(mod(i+1,n)+1)) - 10 continue - PP = Pacc(1) - b = a * (1 - f) - e2 = f * (2 - f) - if (e2 .eq. 0) then - c2 = a**2 - else if (e2 .gt. 0) then - c2 = (a**2 + b**2 * atanhx(sqrt(e2)) / sqrt(e2)) / 2 - else - c2 = (a**2 + b**2 * atan(sqrt(abs(e2))) / sqrt(abs(e2))) / 2 - end if - area0 = 4 * pi * c2 - call accrem(Aacc, area0) - if (mod(abs(cross), 2) .eq. 1) then - if (Aacc(1) .lt. 0) then - call accadd(Aacc, +area0/2) - else - call accadd(Aacc, -area0/2) - end if - end if - if (Aacc(1) .gt. area0/2) then - call accadd(Aacc, -area0) - else if (Aacc(1) .le. -area0/2) then - call accadd(Aacc, +area0) - end if - AA = Aacc(1) - - return - end - -*> Return the version numbers for this package. -*! -*! @param[out] major the major version number. -*! @param[out] minor the minor version number. -*! @param[out] patch the patch number. -*! -*! This subroutine was added with version 1.44. - - subroutine geover(major, minor, patch) -* output - integer major, minor, patch - - major = 1 - minor = 50 - patch = 0 - - return - end - -*> @cond SKIP - - block data geodat - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2 - logical init - data init /.false./ - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - end - - subroutine geoini - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2 - logical init - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - - digits = 53 - dblmin = 0.5d0**1022 - dbleps = 0.5d0**(digits-1) - - pi = atan2(0d0, -1d0) - degree = pi/180 -* This is about cbrt(dblmin). With other implementations, sqrt(dblmin) -* is used. The larger value is used here to avoid complaints about a -* IEEE_UNDERFLOW_FLAG IEEE_DENORMAL signal. This is triggered when -* invers is called with points at opposite poles. - tiny = 0.5d0**((1022+1)/3) - tol0 = dbleps -* Increase multiplier in defn of tol1 from 100 to 200 to fix inverse -* case 52.784459512564 0 -52.784459512563990912 179.634407464943777557 -* which otherwise failed for Visual Studio 10 (Release and Debug) - tol1 = 200 * tol0 - tol2 = sqrt(tol0) -* Check on bisection interval - tolb = tol0 * tol2 - xthrsh = 1000 * tol2 - maxit1 = 20 - maxit2 = maxit1 + digits + 10 - - init = .true. - - return - end - - subroutine Lengs(eps, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2, - + cbet1, cbet2, omask, - + s12b, m12b, m0, MM12, MM21, ep2, Ca) -* input - double precision eps, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2, - + cbet1, cbet2, ep2 - integer omask -* optional output - double precision s12b, m12b, m0, MM12, MM21 -* temporary storage - double precision Ca(*) - - integer ord, nC1, nC2 - parameter (ord = 6, nC1 = ord, nC2 = ord) - - double precision A1m1f, A2m1f, TrgSum - double precision m0x, J12, A1, A2, B1, B2, csig12, t, Cb(nC2) - logical distp, redlp, scalp - integer l - -* Return m12b = (reduced length)/b; also calculate s12b = distance/b, -* and m0 = coefficient of secular term in expression for reduced length. - - distp = (mod(omask/16, 2) .eq. 1) - redlp = (mod(omask/2, 2) .eq. 1) - scalp = (mod(omask/4, 2) .eq. 1) - -* Suppress compiler warnings - m0x = 0 - J12 = 0 - A1 = 0 - A2 = 0 - if (distp .or. redlp .or. scalp) then - A1 = A1m1f(eps) - call C1f(eps, Ca) - if (redlp .or. scalp) then - A2 = A2m1f(eps) - call C2f(eps, Cb) - m0x = A1 - A2 - A2 = 1 + A2 - end if - A1 = 1 + A1 - end if - if (distp) then - B1 = TrgSum(.true., ssig2, csig2, Ca, nC1) - - + TrgSum(.true., ssig1, csig1, Ca, nC1) -* Missing a factor of b - s12b = A1 * (sig12 + B1) - if (redlp .or. scalp) then - B2 = Trgsum(.true., ssig2, csig2, Cb, nC2) - - + TrgSum(.true., ssig1, csig1, Cb, nC2) - J12 = m0x * sig12 + (A1 * B1 - A2 * B2) - end if - else if (redlp .or. scalp) then -* Assume here that nC1 >= nC2 - do 10 l = 1, nC2 - Cb(l) = A1 * Ca(l) - A2 * Cb(l) - 10 continue - J12 = m0x * sig12 + (TrgSum(.true., ssig2, csig2, Cb, nC2) - - + TrgSum(.true., ssig1, csig1, Cb, nC2)) - end if - if (redlp) then - m0 = m0x -* Missing a factor of b. -* Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure -* accurate cancellation in the case of coincident points. - m12b = dn2 * (csig1 * ssig2) - dn1 * (ssig1 * csig2) - - + csig1 * csig2 * J12 - end if - if (scalp) then - csig12 = csig1 * csig2 + ssig1 * ssig2 - t = ep2 * (cbet1 - cbet2) * (cbet1 + cbet2) / (dn1 + dn2) - MM12 = csig12 + (t * ssig2 - csig2 * J12) * ssig1 / dn1 - MM21 = csig12 - (t * ssig1 - csig1 * J12) * ssig2 / dn2 - end if - - return - end - - double precision function Astrd(x, y) -* Solve k^4+2*k^3-(x^2+y^2-1)*k^2-2*y^2*k-y^2 = 0 for positive root k. -* This solution is adapted from Geocentric::Reverse. -* input - double precision x, y - - double precision cbrt - double precision k, p, q, r, S, r2, r3, disc, u, - + T3, T, ang, v, uv, w - - p = x**2 - q = y**2 - r = (p + q - 1) / 6 - if ( .not. (q .eq. 0 .and. r .lt. 0) ) then -* Avoid possible division by zero when r = 0 by multiplying equations -* for s and t by r^3 and r, resp. -* S = r^3 * s - S = p * q / 4 - r2 = r**2 - r3 = r * r2 -* The discriminant of the quadratic equation for T3. This is zero on -* the evolute curve p^(1/3)+q^(1/3) = 1 - disc = S * (S + 2 * r3) - u = r - if (disc .ge. 0) then - T3 = S + r3 -* Pick the sign on the sqrt to maximize abs(T3). This minimizes loss -* of precision due to cancellation. The result is unchanged because -* of the way the T is used in definition of u. -* T3 = (r * t)^3 - if (T3 .lt. 0) then - disc = -sqrt(disc) - else - disc = sqrt(disc) - end if - T3 = T3 + disc -* N.B. cbrt always returns the real root. cbrt(-8) = -2. -* T = r * t - T = cbrt(T3) -* T can be zero; but then r2 / T -> 0. - if (T .ne. 0) u = u + T + r2 / T - else -* T is complex, but the way u is defined the result is real. - ang = atan2(sqrt(-disc), -(S + r3)) -* There are three possible cube roots. We choose the root which -* avoids cancellation. Note that disc < 0 implies that r < 0. - u = u + 2 * r * cos(ang / 3) - end if -* guaranteed positive - v = sqrt(u**2 + q) -* Avoid loss of accuracy when u < 0. -* u+v, guaranteed positive - if (u .lt. 0) then - uv = q / (v - u) - else - uv = u + v - end if -* positive? - w = (uv - q) / (2 * v) -* Rearrange expression for k to avoid loss of accuracy due to -* subtraction. Division by 0 not possible because uv > 0, w >= 0. -* guaranteed positive - k = uv / (sqrt(uv + w**2) + w) - else -* q == 0 && r <= 0 -* y = 0 with |x| <= 1. Handle this case directly. -* for y small, positive root is k = abs(y)/sqrt(1-x^2) - k = 0 - end if - Astrd = k - - return - end - - double precision function InvSta(sbet1, cbet1, dn1, - + sbet2, cbet2, dn2, lam12, slam12, clam12, f, A3x, - + salp1, calp1, salp2, calp2, dnm, - + Ca) -* Return a starting point for Newton's method in salp1 and calp1 -* (function value is -1). If Newton's method doesn't need to be used, -* return also salp2, calp2, and dnm and function value is sig12. -* input - double precision sbet1, cbet1, dn1, sbet2, cbet2, dn2, - + lam12, slam12, clam12, f, A3x(*) -* output - double precision salp1, calp1, salp2, calp2, dnm -* temporary - double precision Ca(*) - - double precision hypotx, A3f, Astrd - logical shortp - double precision f1, e2, ep2, n, etol2, k2, eps, sig12, - + sbet12, cbet12, sbt12a, omg12, somg12, comg12, ssig12, csig12, - + x, y, lamscl, betscl, cbt12a, bt12a, m12b, m0, dummy, - + k, omg12a, sbetm2, lam12x - - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2 - logical init - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - - f1 = 1 - f - e2 = f * (2 - f) - ep2 = e2 / (1 - e2) - n = f / (2 - f) -* The sig12 threshold for "really short". Using the auxiliary sphere -* solution with dnm computed at (bet1 + bet2) / 2, the relative error in -* the azimuth consistency check is sig12^2 * abs(f) * min(1, 1-f/2) / 2. -* (Error measured for 1/100 < b/a < 100 and abs(f) >= 1/1000. For a -* given f and sig12, the max error occurs for lines near the pole. If -* the old rule for computing dnm = (dn1 + dn2)/2 is used, then the error -* increases by a factor of 2.) Setting this equal to epsilon gives -* sig12 = etol2. Here 0.1 is a safety factor (error decreased by 100) -* and max(0.001, abs(f)) stops etol2 getting too large in the nearly -* spherical case. - etol2 = 0.1d0 * tol2 / - + sqrt( max(0.001d0, abs(f)) * min(1d0, 1 - f/2) / 2 ) - -* Return value - sig12 = -1 -* bet12 = bet2 - bet1 in [0, pi); bt12a = bet2 + bet1 in (-pi, 0] - sbet12 = sbet2 * cbet1 - cbet2 * sbet1 - cbet12 = cbet2 * cbet1 + sbet2 * sbet1 - sbt12a = sbet2 * cbet1 + cbet2 * sbet1 - - shortp = cbet12 .ge. 0 .and. sbet12 .lt. 0.5d0 .and. - + cbet2 * lam12 .lt. 0.5d0 - - if (shortp) then - sbetm2 = (sbet1 + sbet2)**2 -* sin((bet1+bet2)/2)^2 -* = (sbet1 + sbet2)^2 / ((sbet1 + sbet2)^2 + (cbet1 + cbet2)^2) - sbetm2 = sbetm2 / (sbetm2 + (cbet1 + cbet2)**2) - dnm = sqrt(1 + ep2 * sbetm2) - omg12 = lam12 / (f1 * dnm) - somg12 = sin(omg12) - comg12 = cos(omg12) - else - somg12 = slam12 - comg12 = clam12 - end if - - salp1 = cbet2 * somg12 - if (comg12 .ge. 0) then - calp1 = sbet12 + cbet2 * sbet1 * somg12**2 / (1 + comg12) - else - calp1 = sbt12a - cbet2 * sbet1 * somg12**2 / (1 - comg12) - end if - - ssig12 = hypotx(salp1, calp1) - csig12 = sbet1 * sbet2 + cbet1 * cbet2 * comg12 - - if (shortp .and. ssig12 .lt. etol2) then -* really short lines - salp2 = cbet1 * somg12 - if (comg12 .ge. 0) then - calp2 = somg12**2 / (1 + comg12) - else - calp2 = 1 - comg12 - end if - calp2 = sbet12 - cbet1 * sbet2 * calp2 - call norm2x(salp2, calp2) -* Set return value - sig12 = atan2(ssig12, csig12) - else if (abs(n) .gt. 0.1d0 .or. csig12 .ge. 0 .or. - + ssig12 .ge. 6 * abs(n) * pi * cbet1**2) then -* Nothing to do, zeroth order spherical approximation is OK - continue - else -* lam12 - pi - lam12x = atan2(-slam12, -clam12) -* Scale lam12 and bet2 to x, y coordinate system where antipodal point -* is at origin and singular point is at y = 0, x = -1. - if (f .ge. 0) then -* x = dlong, y = dlat - k2 = sbet1**2 * ep2 - eps = k2 / (2 * (1 + sqrt(1 + k2)) + k2) - lamscl = f * cbet1 * A3f(eps, A3x) * pi - betscl = lamscl * cbet1 - x = lam12x / lamscl - y = sbt12a / betscl - else -* f < 0: x = dlat, y = dlong - cbt12a = cbet2 * cbet1 - sbet2 * sbet1 - bt12a = atan2(sbt12a, cbt12a) -* In the case of lon12 = 180, this repeats a calculation made in -* Inverse. - call Lengs(n, pi + bt12a, - + sbet1, -cbet1, dn1, sbet2, cbet2, dn2, cbet1, cbet2, 2, - + dummy, m12b, m0, dummy, dummy, ep2, Ca) - x = -1 + m12b / (cbet1 * cbet2 * m0 * pi) - if (x .lt. -0.01d0) then - betscl = sbt12a / x - else - betscl = -f * cbet1**2 * pi - end if - lamscl = betscl / cbet1 - y = lam12x / lamscl - end if - - if (y .gt. -tol1 .and. x .gt. -1 - xthrsh) then -* strip near cut - if (f .ge. 0) then - salp1 = min(1d0, -x) - calp1 = - sqrt(1 - salp1**2) - else - if (x .gt. -tol1) then - calp1 = 0 - else - calp1 = 1 - end if - calp1 = max(calp1, x) - salp1 = sqrt(1 - calp1**2) - end if - else -* Estimate alp1, by solving the astroid problem. -* -* Could estimate alpha1 = theta + pi/2, directly, i.e., -* calp1 = y/k; salp1 = -x/(1+k); for f >= 0 -* calp1 = x/(1+k); salp1 = -y/k; for f < 0 (need to check) -* -* However, it's better to estimate omg12 from astroid and use -* spherical formula to compute alp1. This reduces the mean number of -* Newton iterations for astroid cases from 2.24 (min 0, max 6) to 2.12 -* (min 0 max 5). The changes in the number of iterations are as -* follows: -* -* change percent -* 1 5 -* 0 78 -* -1 16 -* -2 0.6 -* -3 0.04 -* -4 0.002 -* -* The histogram of iterations is (m = number of iterations estimating -* alp1 directly, n = number of iterations estimating via omg12, total -* number of trials = 148605): -* -* iter m n -* 0 148 186 -* 1 13046 13845 -* 2 93315 102225 -* 3 36189 32341 -* 4 5396 7 -* 5 455 1 -* 6 56 0 -* -* Because omg12 is near pi, estimate work with omg12a = pi - omg12 - k = Astrd(x, y) - if (f .ge. 0) then - omg12a = -x * k/(1 + k) - else - omg12a = -y * (1 + k)/k - end if - omg12a = lamscl * omg12a - somg12 = sin(omg12a) - comg12 = -cos(omg12a) -* Update spherical estimate of alp1 using omg12 instead of lam12 - salp1 = cbet2 * somg12 - calp1 = sbt12a - cbet2 * sbet1 * somg12**2 / (1 - comg12) - end if - end if -* Sanity check on starting guess. Backwards check allows NaN through. - if (.not. (salp1 .le. 0)) then - call norm2x(salp1, calp1) - else - salp1 = 1 - calp1 = 0 - end if - InvSta = sig12 - - return - end - - double precision function Lam12f(sbet1, cbet1, dn1, - + sbet2, cbet2, dn2, salp1, calp1, slm120, clm120, f, A3x, C3x, - + salp2, calp2, sig12, ssig1, csig1, ssig2, csig2, eps, - + domg12, diffp, dlam12, Ca) -* input - double precision sbet1, cbet1, dn1, sbet2, cbet2, dn2, - + salp1, calp1, slm120, clm120, f, A3x(*), C3x(*) - logical diffp -* output - double precision salp2, calp2, sig12, ssig1, csig1, ssig2, csig2, - + eps, domg12 -* optional output - double precision dlam12 -* temporary - double precision Ca(*) - - integer ord, nC3 - parameter (ord = 6, nC3 = ord) - - double precision hypotx, A3f, TrgSum - - double precision f1, e2, ep2, salp0, calp0, - + somg1, comg1, somg2, comg2, somg12, comg12, - + lam12, eta, B312, k2, dummy - - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2 - logical init - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - - f1 = 1 - f - e2 = f * (2 - f) - ep2 = e2 / (1 - e2) -* Break degeneracy of equatorial line. This case has already been -* handled. - if (sbet1 .eq. 0 .and. calp1 .eq. 0) calp1 = -tiny - -* sin(alp1) * cos(bet1) = sin(alp0) - salp0 = salp1 * cbet1 -* calp0 > 0 - calp0 = hypotx(calp1, salp1 * sbet1) - -* tan(bet1) = tan(sig1) * cos(alp1) -* tan(omg1) = sin(alp0) * tan(sig1) = tan(omg1)=tan(alp1)*sin(bet1) - ssig1 = sbet1 - somg1 = salp0 * sbet1 - csig1 = calp1 * cbet1 - comg1 = csig1 - call norm2x(ssig1, csig1) -* norm2x(somg1, comg1); -- don't need to normalize! - -* Enforce symmetries in the case abs(bet2) = -bet1. Need to be careful -* about this case, since this can yield singularities in the Newton -* iteration. -* sin(alp2) * cos(bet2) = sin(alp0) - if (cbet2 .ne. cbet1) then - salp2 = salp0 / cbet2 - else - salp2 = salp1 - end if -* calp2 = sqrt(1 - sq(salp2)) -* = sqrt(sq(calp0) - sq(sbet2)) / cbet2 -* and subst for calp0 and rearrange to give (choose positive sqrt -* to give alp2 in [0, pi/2]). - if (cbet2 .ne. cbet1 .or. abs(sbet2) .ne. -sbet1) then - if (cbet1 .lt. -sbet1) then - calp2 = (cbet2 - cbet1) * (cbet1 + cbet2) - else - calp2 = (sbet1 - sbet2) * (sbet1 + sbet2) - end if - calp2 = sqrt((calp1 * cbet1)**2 + calp2) / cbet2 - else - calp2 = abs(calp1) - end if -* tan(bet2) = tan(sig2) * cos(alp2) -* tan(omg2) = sin(alp0) * tan(sig2). - ssig2 = sbet2 - somg2 = salp0 * sbet2 - csig2 = calp2 * cbet2 - comg2 = csig2 - call norm2x(ssig2, csig2) -* norm2x(somg2, comg2); -- don't need to normalize! - -* sig12 = sig2 - sig1, limit to [0, pi] - sig12 = atan2(0d0 + max(0d0, csig1 * ssig2 - ssig1 * csig2), - + csig1 * csig2 + ssig1 * ssig2) - -* omg12 = omg2 - omg1, limit to [0, pi] - somg12 = 0d0 + max(0d0, comg1 * somg2 - somg1 * comg2) - comg12 = comg1 * comg2 + somg1 * somg2 -* eta = omg12 - lam120 - eta = atan2(somg12 * clm120 - comg12 * slm120, - + comg12 * clm120 + somg12 * slm120) - k2 = calp0**2 * ep2 - eps = k2 / (2 * (1 + sqrt(1 + k2)) + k2) - call C3f(eps, C3x, Ca) - B312 = (TrgSum(.true., ssig2, csig2, Ca, nC3-1) - - + TrgSum(.true., ssig1, csig1, Ca, nC3-1)) - domg12 = -f * A3f(eps, A3x) * salp0 * (sig12 + B312) - lam12 = eta + domg12 - - if (diffp) then - if (calp2 .eq. 0) then - dlam12 = - 2 * f1 * dn1 / sbet1 - else - call Lengs(eps, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2, - + cbet1, cbet2, 2, - + dummy, dlam12, dummy, dummy, dummy, ep2, Ca) - dlam12 = dlam12 * f1 / (calp2 * cbet2) - end if - end if - Lam12f = lam12 - - return - end - - double precision function A3f(eps, A3x) -* Evaluate A3 - integer ord, nA3, nA3x - parameter (ord = 6, nA3 = ord, nA3x = nA3) - -* input - double precision eps -* output - double precision A3x(0: nA3x-1) - - double precision polval - A3f = polval(nA3 - 1, A3x, eps) - - return - end - - subroutine C3f(eps, C3x, c) -* Evaluate C3 coeffs -* Elements c[1] thru c[nC3-1] are set - integer ord, nC3, nC3x - parameter (ord = 6, nC3 = ord, nC3x = (nC3 * (nC3 - 1)) / 2) - -* input - double precision eps, C3x(0:nC3x-1) -* output - double precision c(nC3-1) - - integer o, m, l - double precision mult, polval - - mult = 1 - o = 0 - do 10 l = 1, nC3 - 1 - m = nC3 - l - 1 - mult = mult * eps - c(l) = mult * polval(m, C3x(o), eps) - o = o + m + 1 - 10 continue - - return - end - - subroutine C4f(eps, C4x, c) -* Evaluate C4 -* Elements c[0] thru c[nC4-1] are set - integer ord, nC4, nC4x - parameter (ord = 6, nC4 = ord, nC4x = (nC4 * (nC4 + 1)) / 2) - -* input - double precision eps, C4x(0:nC4x-1) -*output - double precision c(0:nC4-1) - - integer o, m, l - double precision mult, polval - - mult = 1 - o = 0 - do 10 l = 0, nC4 - 1 - m = nC4 - l - 1 - c(l) = mult * polval(m, C4x(o), eps) - o = o + m + 1 - mult = mult * eps - 10 continue - - return - end - - double precision function A1m1f(eps) -* The scale factor A1-1 = mean value of (d/dsigma)I1 - 1 -* input - double precision eps - - double precision t - integer ord, nA1, o, m - parameter (ord = 6, nA1 = ord) - double precision polval, coeff(nA1/2 + 2) - data coeff /1, 4, 64, 0, 256/ - - o = 1 - m = nA1/2 - t = polval(m, coeff(o), eps**2) / coeff(o + m + 1) - A1m1f = (t + eps) / (1 - eps) - - return - end - - subroutine C1f(eps, c) -* The coefficients C1[l] in the Fourier expansion of B1 - integer ord, nC1 - parameter (ord = 6, nC1 = ord) - -* input - double precision eps -* output - double precision c(nC1) - - double precision eps2, d - integer o, m, l - double precision polval, coeff((nC1**2 + 7*nC1 - 2*(nC1/2))/4) - data coeff / - + -1, 6, -16, 32, - + -9, 64, -128, 2048, - + 9, -16, 768, - + 3, -5, 512, - + -7, 1280, - + -7, 2048/ - - eps2 = eps**2 - d = eps - o = 1 - do 10 l = 1, nC1 - m = (nC1 - l) / 2 - c(l) = d * polval(m, coeff(o), eps2) / coeff(o + m + 1) - o = o + m + 2 - d = d * eps - 10 continue - - return - end - - subroutine C1pf(eps, c) -* The coefficients C1p[l] in the Fourier expansion of B1p - integer ord, nC1p - parameter (ord = 6, nC1p = ord) - -* input - double precision eps -* output - double precision c(nC1p) - - double precision eps2, d - integer o, m, l - double precision polval, coeff((nC1p**2 + 7*nC1p - 2*(nC1p/2))/4) - data coeff / - + 205, -432, 768, 1536, - + 4005, -4736, 3840, 12288, - + -225, 116, 384, - + -7173, 2695, 7680, - + 3467, 7680, - + 38081, 61440/ - - eps2 = eps**2 - d = eps - o = 1 - do 10 l = 1, nC1p - m = (nC1p - l) / 2 - c(l) = d * polval(m, coeff(o), eps2) / coeff(o + m + 1) - o = o + m + 2 - d = d * eps - 10 continue - - return - end - -* The scale factor A2-1 = mean value of (d/dsigma)I2 - 1 - double precision function A2m1f(eps) -* input - double precision eps - - double precision t - integer ord, nA2, o, m - parameter (ord = 6, nA2 = ord) - double precision polval, coeff(nA2/2 + 2) - data coeff /-11, -28, -192, 0, 256/ - - o = 1 - m = nA2/2 - t = polval(m, coeff(o), eps**2) / coeff(o + m + 1) - A2m1f = (t - eps) / (1 + eps) - - return - end - - subroutine C2f(eps, c) -* The coefficients C2[l] in the Fourier expansion of B2 - integer ord, nC2 - parameter (ord = 6, nC2 = ord) - -* input - double precision eps -* output - double precision c(nC2) - - double precision eps2, d - integer o, m, l - double precision polval, coeff((nC2**2 + 7*nC2 - 2*(nC2/2))/4) - data coeff / - + 1, 2, 16, 32, - + 35, 64, 384, 2048, - + 15, 80, 768, - + 7, 35, 512, - + 63, 1280, - + 77, 2048/ - - eps2 = eps**2 - d = eps - o = 1 - do 10 l = 1, nC2 - m = (nC2 - l) / 2 - c(l) = d * polval(m, coeff(o), eps2) / coeff(o + m + 1) - o = o + m + 2 - d = d * eps - 10 continue - - return - end - - subroutine A3cof(n, A3x) -* The scale factor A3 = mean value of (d/dsigma)I3 - integer ord, nA3, nA3x - parameter (ord = 6, nA3 = ord, nA3x = nA3) - -* input - double precision n -* output - double precision A3x(0:nA3x-1) - - integer o, m, k, j - double precision polval, coeff((nA3**2 + 7*nA3 - 2*(nA3/2))/4) - data coeff / - + -3, 128, - + -2, -3, 64, - + -1, -3, -1, 16, - + 3, -1, -2, 8, - + 1, -1, 2, - + 1, 1/ - - o = 1 - k = 0 - do 10 j = nA3 - 1, 0, -1 - m = min(nA3 - j - 1, j) - A3x(k) = polval(m, coeff(o), n) / coeff(o + m + 1) - k = k + 1 - o = o + m + 2 - 10 continue - - return - end - - subroutine C3cof(n, C3x) -* The coefficients C3[l] in the Fourier expansion of B3 - integer ord, nC3, nC3x - parameter (ord = 6, nC3 = ord, nC3x = (nC3 * (nC3 - 1)) / 2) - -* input - double precision n -* output - double precision C3x(0:nC3x-1) - - integer o, m, l, j, k - double precision polval, - + coeff(((nC3-1)*(nC3**2 + 7*nC3 - 2*(nC3/2)))/8) - data coeff / - + 3, 128, - + 2, 5, 128, - + -1, 3, 3, 64, - + -1, 0, 1, 8, - + -1, 1, 4, - + 5, 256, - + 1, 3, 128, - + -3, -2, 3, 64, - + 1, -3, 2, 32, - + 7, 512, - + -10, 9, 384, - + 5, -9, 5, 192, - + 7, 512, - + -14, 7, 512, - + 21, 2560/ - - o = 1 - k = 0 - do 20 l = 1, nC3 - 1 - do 10 j = nC3 - 1, l, -1 - m = min(nC3 - j - 1, j) - C3x(k) = polval(m, coeff(o), n) / coeff(o + m + 1) - k = k + 1 - o = o + m + 2 - 10 continue - 20 continue - - return - end - - subroutine C4cof(n, C4x) -* The coefficients C4[l] in the Fourier expansion of I4 - integer ord, nC4, nC4x - parameter (ord = 6, nC4 = ord, nC4x = (nC4 * (nC4 + 1)) / 2) - -* input - double precision n -* output - double precision C4x(0:nC4x-1) - - integer o, m, l, j, k - double precision polval, coeff((nC4 * (nC4 + 1) * (nC4 + 5)) / 6) - data coeff / - + 97, 15015, 1088, 156, 45045, -224, -4784, 1573, 45045, - + -10656, 14144, -4576, -858, 45045, - + 64, 624, -4576, 6864, -3003, 15015, - + 100, 208, 572, 3432, -12012, 30030, 45045, - + 1, 9009, -2944, 468, 135135, 5792, 1040, -1287, 135135, - + 5952, -11648, 9152, -2574, 135135, - + -64, -624, 4576, -6864, 3003, 135135, - + 8, 10725, 1856, -936, 225225, -8448, 4992, -1144, 225225, - + -1440, 4160, -4576, 1716, 225225, - + -136, 63063, 1024, -208, 105105, - + 3584, -3328, 1144, 315315, - + -128, 135135, -2560, 832, 405405, 128, 99099/ - - o = 1 - k = 0 - do 20 l = 0, nC4 - 1 - do 10 j = nC4 - 1, l, -1 - m = nC4 - j - 1 - C4x(k) = polval(m, coeff(o), n) / coeff(o + m + 1) - k = k + 1 - o = o + m + 2 - 10 continue - 20 continue - - return - end - - double precision function sumx(u, v, t) -* input - double precision u, v -* output - double precision t - - double precision up, vpp - sumx = u + v - up = sumx - v - vpp = sumx - up - up = up - u - vpp = vpp - v - t = -(up + vpp) - - return - end - - double precision function remx(x, y) -* the remainder function but not worrying how ties are handled -* y must be positive -* input - double precision x, y - - remx = mod(x, y) - if (remx .lt. -y/2) then - remx = remx + y - else if (remx .gt. +y/2) then - remx = remx - y - end if - - return - end - - double precision function AngNm(x) -* input - double precision x - - double precision remx - AngNm = remx(x, 360d0) - if (AngNm .eq. -180) then - AngNm = 180 - end if - - return - end - - double precision function LatFix(x) -* input - double precision x - - LatFix = x - if (.not. (abs(x) .gt. 90)) return -* concoct a NaN - LatFix = sqrt(90 - abs(x)) - - return - end - - double precision function AngDif(x, y, e) -* Compute y - x. x and y must both lie in [-180, 180]. The result is -* equivalent to computing the difference exactly, reducing it to (-180, -* 180] and rounding the result. Note that this prescription allows -180 -* to be returned (e.g., if x is tiny and negative and y = 180). The -* error in the difference is returned in e -* input - double precision x, y -* output - double precision e - - double precision d, t, sumx, AngNm - d = AngNm(sumx(AngNm(-x), AngNm(y), t)) - if (d .eq. 180 .and. t .gt. 0) then - d = -180 - end if - AngDif = sumx(d, t, e) - - return - end - - double precision function AngRnd(x) -* The makes the smallest gap in x = 1/16 - nextafter(1/16, 0) = 1/2^57 -* for reals = 0.7 pm on the earth if x is an angle in degrees. (This is -* about 1000 times more resolution than we get with angles around 90 -* degrees.) We use this to avoid having to deal with near singular -* cases when x is non-zero but tiny (e.g., 1.0e-200). This also -* converts -0 to +0. -* input - double precision x - - double precision y, z - z = 1/16d0 - y = abs(x) -* The compiler mustn't "simplify" z - (z - y) to y - if (y .lt. z) y = z - (z - y) - AngRnd = sign(y, x) - if (x .eq. 0) AngRnd = 0 - - return - end - - subroutine swap(x, y) -* input/output - double precision x, y - - double precision z - z = x - x = y - y = z - - return - end - - double precision function hypotx(x, y) -* input - double precision x, y - -* With Fortran 2008, this becomes: hypotx = hypot(x, y) - hypotx = sqrt(x**2 + y**2) - - return - end - - subroutine norm2x(x, y) -* input/output - double precision x, y - - double precision hypotx, r - r = hypotx(x, y) - x = x/r - y = y/r - - return - end - - double precision function log1px(x) -* input - double precision x - - double precision y, z - y = 1 + x - z = y - 1 - if (z .eq. 0) then - log1px = x - else - log1px = x * log(y) / z - end if - - return - end - - double precision function atanhx(x) -* input - double precision x - -* With Fortran 2008, this becomes: atanhx = atanh(x) - double precision log1px, y - y = abs(x) - y = log1px(2 * y/(1 - y))/2 - atanhx = sign(y, x) - - return - end - - double precision function cbrt(x) -* input - double precision x - - cbrt = sign(abs(x)**(1/3d0), x) - - return - end - - double precision function TrgSum(sinp, sinx, cosx, c, n) -* Evaluate -* y = sinp ? sum(c[i] * sin( 2*i * x), i, 1, n) : -* sum(c[i] * cos((2*i-1) * x), i, 1, n) -* using Clenshaw summation. -* Approx operation count = (n + 5) mult and (2 * n + 2) add -* input - logical sinp - integer n - double precision sinx, cosx, c(n) - - double precision ar, y0, y1 - integer n2, k - -* 2 * cos(2 * x) - ar = 2 * (cosx - sinx) * (cosx + sinx) -* accumulators for sum - if (mod(n, 2) .eq. 1) then - y0 = c(n) - n2 = n - 1 - else - y0 = 0 - n2 = n - end if - y1 = 0 -* Now n2 is even - do 10 k = n2, 2, -2 -* Unroll loop x 2, so accumulators return to their original role - y1 = ar * y0 - y1 + c(k) - y0 = ar * y1 - y0 + c(k-1) - 10 continue - if (sinp) then -* sin(2 * x) * y0 - TrgSum = 2 * sinx * cosx * y0 - else -* cos(x) * (y0 - y1) - TrgSum = cosx * (y0 - y1) - end if - - return - end - - integer function trnsit(lon1, lon2) -* input - double precision lon1, lon2 - - double precision lon1x, lon2x, lon12, AngNm, AngDif, e - lon1x = AngNm(lon1) - lon2x = AngNm(lon2) - lon12 = AngDif(lon1x, lon2x, e) - trnsit = 0 - if (lon1x .le. 0 .and. lon2x .gt. 0 .and. lon12 .gt. 0) then - trnsit = 1 - else if (lon2x .le. 0 .and. lon1x .gt. 0 .and. lon12 .lt. 0) then - trnsit = -1 - end if - - return - end - - subroutine accini(s) -* Initialize an accumulator; this is an array with two elements. -* input/output - double precision s(2) - - s(1) = 0 - s(2) = 0 - - return - end - - subroutine accadd(s, y) -* Add y to an accumulator. -* input - double precision y -* input/output - double precision s(2) - - double precision z, u, sumx - z = sumx(y, s(2), u) - s(1) = sumx(z, s(1), s(2)) - if (s(1) .eq. 0) then - s(1) = u - else - s(2) = s(2) + u - end if - - return - end - - subroutine accrem(s, y) -* Reduce s to [-y/2, y/2]. -* input - double precision y -* input/output - double precision s(2) - - double precision remx - s(1) = remx(s(1), y) - call accadd(s, 0d0) - - return - end - - subroutine sncsdx(x, sinx, cosx) -* Compute sin(x) and cos(x) with x in degrees -* input - double precision x -* input/output - double precision sinx, cosx - - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2 - logical init - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - - double precision r, s, c - integer q - r = mod(x, 360d0) - q = nint(r / 90) - r = (r - 90 * q) * degree - s = sin(r) -* sin(-0) isn't reliably -0, so... - if (x .eq. 0) s = x - c = cos(r) - q = mod(q + 4, 4) - if (q .eq. 0) then - sinx = s - cosx = c - else if (q .eq. 1) then - sinx = c - cosx = -s - else if (q .eq. 2) then - sinx = -s - cosx = -c - else -* q.eq.3 - sinx = -c - cosx = s - end if - - if (x .ne. 0) then - sinx = 0d0 + sinx - cosx = 0d0 + cosx - end if - - return - end - - double precision function atn2dx(y, x) -* input - double precision x, y - - double precision dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh - integer digits, maxit1, maxit2 - logical init - common /geocom/ dblmin, dbleps, pi, degree, tiny, - + tol0, tol1, tol2, tolb, xthrsh, digits, maxit1, maxit2, init - - double precision xx, yy - integer q - if (abs(y) .gt. abs(x)) then - xx = y - yy = x - q = 2 - else - xx = x - yy = y - q = 0 - end if - if (xx .lt. 0) then - xx = -xx - q = q + 1 - end if - atn2dx = atan2(yy, xx) / degree - if (q .eq. 1) then - if (yy .ge. 0) then - atn2dx = 180 - atn2dx - else - atn2dx = -180 - atn2dx - end if - else if (q .eq. 2) then - atn2dx = 90 - atn2dx - else if (q .eq. 3) then - atn2dx = -90 + atn2dx - end if - - return - end - - double precision function polval(N, p, x) -* input - integer N - double precision p(0:N), x - - integer i - if (N .lt. 0) then - polval = 0 - else - polval = p(0) - end if - do 10 i = 1, N - polval = polval * x + p(i) - 10 continue - - return - end - -* Table of name abbreviations to conform to the 6-char limit and -* potential name conflicts. -* A3coeff A3cof -* C3coeff C3cof -* C4coeff C4cof -* AngNormalize AngNm -* AngDiff AngDif -* AngRound AngRnd -* arcmode arcmod -* Astroid Astrd -* betscale betscl -* lamscale lamscl -* cbet12a cbt12a -* sbet12a sbt12a -* epsilon dbleps -* realmin dblmin -* geodesic geod -* inverse invers -* InverseStart InvSta -* Lambda12 Lam12f -* latsign latsgn -* lonsign lonsgn -* Lengths Lengs -* meridian merid -* outmask omask -* shortline shortp -* norm norm2x -* SinCosSeries TrgSum -* xthresh xthrsh -* transit trnsit -* polyval polval -* LONG_UNROLL unroll -* sincosd sncsdx -* atan2d atn2dx -*> @endcond SKIP diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/geodesic.inc b/libs/GeographicLib-1.50.1/legacy/Fortran/geodesic.inc deleted file mode 100644 index 55ca227d3205d4e022b556002758210c78c7a865..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/geodesic.inc +++ /dev/null @@ -1,41 +0,0 @@ -*> @file geodesic.inc -*! @brief The interface file for the geodesic routines in Fortran -*! -*! Optinally insert \code -*! include 'geodesic.inc' \endcode -*! into the declaration portion of a subroutine that uses this library. -*! -*! See geodesic.for for documentation on these routines. - - interface - -* omask bits: 1 = a12; 2 = m12; 4 = MM12 + MM21; 8 = SS12 -* flags bits: 1 = arcmode; 2 = unroll - - subroutine direct(a, f, lat1, lon1, azi1, s12a12, flags, - + lat2, lon2, azi2, omask, a12s12, m12, MM12, MM21, SS12) - double precision, intent(in) :: a, f, lat1, lon1, azi1, s12a12 - integer, intent(in) :: flags, omask - double precision, intent(out) :: lat2, lon2, azi2 - double precision, intent(out) :: a12s12, m12, MM12, MM21, SS12 - end subroutine direct - - subroutine invers(a, f, lat1, lon1, lat2, lon2, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - double precision, intent(in) :: a, f, lat1, lon1, lat2, lon2 - integer, intent(in) :: omask - double precision, intent(out) :: s12, azi1, azi2 - double precision, intent(out) :: a12, m12, MM12, MM21, SS12 - end subroutine invers - - subroutine area(a, f, lats, lons, n, AA, PP) - integer, intent(in) :: n - double precision, intent(in) :: a, f, lats(n), lons(n) - double precision, intent(out) :: AA, PP - end subroutine area - - subroutine geover(major, minor, patch) - integer, intent(out) :: major, minor, patch - end subroutine geover - - end interface diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/geodinverse.for b/libs/GeographicLib-1.50.1/legacy/Fortran/geodinverse.for deleted file mode 100644 index 11ff1a2b9a3bf23fa618ec49792256347a67a03c..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/geodinverse.for +++ /dev/null @@ -1,35 +0,0 @@ -*> @file geodinverse.for -*! @brief A test program for invers() - -*> A simple program to solve the inverse geodesic problem. -*! -*! This program reads in lines with lat1, lon1, lon2, lat2 and prints -*! out lines with azi1, azi2, s12 (for the WGS84 ellipsoid). - - program geodinverse - implicit none - - include 'geodesic.inc' - - double precision a, f, lat1, lon1, azi1, lat2, lon2, azi2, s12, - + dummy1, dummy2, dummy3, dummy4, dummy5 - integer omask - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - - omask = 0 - - 10 continue - read(*, *, end=90, err=90) lat1, lon1, lat2, lon2 - call invers(a, f, lat1, lon1, lat2, lon2, - + s12, azi1, azi2, omask, - + dummy1, dummy2, dummy3, dummy4, dummy5) - print 20, azi1, azi2, s12 - 20 format(1x, f20.15, 1x, f20.15, 1x, f19.10) - go to 10 - 90 continue - - stop - end diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/geodtest.for b/libs/GeographicLib-1.50.1/legacy/Fortran/geodtest.for deleted file mode 100644 index 6104e8e8afbeb476185328c4025f7d0f2d55ba8b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/geodtest.for +++ /dev/null @@ -1,1450 +0,0 @@ -*> @file geodtest.for -*! @brief Test suite for the geodesic routines in Fortran -*! -*! Run these tests by configuring with cmake and running "make test". -*! -*! Copyright (c) Charles Karney (2015-2019) and -*! licensed under the MIT/X11 License. For more information, see -*! https://geographiclib.sourceforge.io/ - -*> @cond SKIP - - block data tests - - integer j - double precision tstdat(20, 12) - common /tstcom/ tstdat - data (tstdat(1,j), j = 1,12) / - + 35.60777d0,-139.44815d0,111.098748429560326d0, - + -11.17491d0,-69.95921d0,129.289270889708762d0, - + 8935244.5604818305d0,80.50729714281974d0,6273170.2055303837d0, - + 0.16606318447386067d0,0.16479116945612937d0, - + 12841384694976.432d0 / - data (tstdat(2,j), j = 1,12) / - + 55.52454d0,106.05087d0,22.020059880982801d0, - + 77.03196d0,197.18234d0,109.112041110671519d0, - + 4105086.1713924406d0,36.892740690445894d0, - + 3828869.3344387607d0, - + 0.80076349608092607d0,0.80101006984201008d0, - + 61674961290615.615d0 / - data (tstdat(3,j), j = 1,12) / - + -21.97856d0,142.59065d0,-32.44456876433189d0, - + 41.84138d0,98.56635d0,-41.84359951440466d0, - + 8394328.894657671d0,75.62930491011522d0,6161154.5773110616d0, - + 0.24816339233950381d0,0.24930251203627892d0, - + -6637997720646.717d0 / - data (tstdat(4,j), j = 1,12) / - + -66.99028d0,112.2363d0,173.73491240878403d0, - + -12.70631d0,285.90344d0,2.512956620913668d0, - + 11150344.2312080241d0,100.278634181155759d0, - + 6289939.5670446687d0, - + -0.17199490274700385d0,-0.17722569526345708d0, - + -121287239862139.744d0 / - data (tstdat(5,j), j = 1,12) / - + -17.42761d0,173.34268d0,-159.033557661192928d0, - + -15.84784d0,5.93557d0,-20.787484651536988d0, - + 16076603.1631180673d0,144.640108810286253d0, - + 3732902.1583877189d0, - + -0.81273638700070476d0,-0.81299800519154474d0, - + 97825992354058.708d0 / - data (tstdat(6,j), j = 1,12) / - + 32.84994d0,48.28919d0,150.492927788121982d0, - + -56.28556d0,202.29132d0,48.113449399816759d0, - + 16727068.9438164461d0,150.565799985466607d0, - + 3147838.1910180939d0, - + -0.87334918086923126d0,-0.86505036767110637d0, - + -72445258525585.010d0 / - data (tstdat(7,j), j = 1,12) / - + 6.96833d0,52.74123d0,92.581585386317712d0, - + -7.39675d0,206.17291d0,90.721692165923907d0, - + 17102477.2496958388d0,154.147366239113561d0, - + 2772035.6169917581d0, - + -0.89991282520302447d0,-0.89986892177110739d0, - + -1311796973197.995d0 / - data (tstdat(8,j), j = 1,12) / - + -50.56724d0,-16.30485d0,-105.439679907590164d0, - + -33.56571d0,-94.97412d0,-47.348547835650331d0, - + 6455670.5118668696d0,58.083719495371259d0, - + 5409150.7979815838d0, - + 0.53053508035997263d0,0.52988722644436602d0, - + 41071447902810.047d0 / - data (tstdat(9,j), j = 1,12) / - + -58.93002d0,-8.90775d0,140.965397902500679d0, - + -8.91104d0,133.13503d0,19.255429433416599d0, - + 11756066.0219864627d0,105.755691241406877d0, - + 6151101.2270708536d0, - + -0.26548622269867183d0,-0.27068483874510741d0, - + -86143460552774.735d0 / - data (tstdat(10,j), j = 1,12) / - + -68.82867d0,-74.28391d0,93.774347763114881d0, - + -50.63005d0,-8.36685d0,34.65564085411343d0, - + 3956936.926063544d0,35.572254987389284d0,3708890.9544062657d0, - + 0.81443963736383502d0,0.81420859815358342d0, - + -41845309450093.787d0 / - data (tstdat(11,j), j = 1,12) / - + -10.62672d0,-32.0898d0,-86.426713286747751d0, - + 5.883d0,-134.31681d0,-80.473780971034875d0, - + 11470869.3864563009d0,103.387395634504061d0, - + 6184411.6622659713d0, - + -0.23138683500430237d0,-0.23155097622286792d0, - + 4198803992123.548d0 / - data (tstdat(12,j), j = 1,12) / - + -21.76221d0,166.90563d0,29.319421206936428d0, - + 48.72884d0,213.97627d0,43.508671946410168d0, - + 9098627.3986554915d0,81.963476716121964d0, - + 6299240.9166992283d0, - + 0.13965943368590333d0,0.14152969707656796d0, - + 10024709850277.476d0 / - data (tstdat(13,j), j = 1,12) / - + -19.79938d0,-174.47484d0,71.167275780171533d0, - + -11.99349d0,-154.35109d0,65.589099775199228d0, - + 2319004.8601169389d0,20.896611684802389d0, - + 2267960.8703918325d0, - + 0.93427001867125849d0,0.93424887135032789d0, - + -3935477535005.785d0 / - data (tstdat(14,j), j = 1,12) / - + -11.95887d0,-116.94513d0,92.712619830452549d0, - + 4.57352d0,7.16501d0,78.64960934409585d0, - + 13834722.5801401374d0,124.688684161089762d0, - + 5228093.177931598d0, - + -0.56879356755666463d0,-0.56918731952397221d0, - + -9919582785894.853d0 / - data (tstdat(15,j), j = 1,12) / - + -87.85331d0,85.66836d0,-65.120313040242748d0, - + 66.48646d0,16.09921d0,-4.888658719272296d0, - + 17286615.3147144645d0,155.58592449699137d0, - + 2635887.4729110181d0, - + -0.90697975771398578d0,-0.91095608883042767d0, - + 42667211366919.534d0 / - data (tstdat(16,j), j = 1,12) / - + 1.74708d0,128.32011d0,-101.584843631173858d0, - + -11.16617d0,11.87109d0,-86.325793296437476d0, - + 12942901.1241347408d0,116.650512484301857d0, - + 5682744.8413270572d0, - + -0.44857868222697644d0,-0.44824490340007729d0, - + 10763055294345.653d0 / - data (tstdat(17,j), j = 1,12) / - + -25.72959d0,-144.90758d0,-153.647468693117198d0, - + -57.70581d0,-269.17879d0,-48.343983158876487d0, - + 9413446.7452453107d0,84.664533838404295d0, - + 6356176.6898881281d0, - + 0.09492245755254703d0,0.09737058264766572d0, - + 74515122850712.444d0 / - data (tstdat(18,j), j = 1,12) / - + -41.22777d0,122.32875d0,14.285113402275739d0, - + -7.57291d0,130.37946d0,10.805303085187369d0, - + 3812686.035106021d0,34.34330804743883d0,3588703.8812128856d0, - + 0.82605222593217889d0,0.82572158200920196d0, - + -2456961531057.857d0 / - data (tstdat(19,j), j = 1,12) / - + 11.01307d0,138.25278d0,79.43682622782374d0, - + 6.62726d0,247.05981d0,103.708090215522657d0, - + 11911190.819018408d0,107.341669954114577d0, - + 6070904.722786735d0, - + -0.29767608923657404d0,-0.29785143390252321d0, - + 17121631423099.696d0 / - data (tstdat(20,j), j = 1,12) / - + -29.47124d0,95.14681d0,-163.779130441688382d0, - + -27.46601d0,-69.15955d0,-15.909335945554969d0, - + 13487015.8381145492d0,121.294026715742277d0, - + 5481428.9945736388d0, - + -0.51527225545373252d0,-0.51556587964721788d0, - + 104679964020340.318d0 / - end - - integer function assert(x, y, d) - double precision x, y, d - - if (abs(x - y) .le. d) then - assert = 0 - else - assert = 1 - print 10, x, y, d - 10 format(1x, 'assert fails: ', - + g14.7, ' != ', g14.7, ' +/- ', g10.3) - end if - - return - end - - integer function chknan(x) - double precision x - - if (x .ne. x) then - chknan = 0 - else - chknan = 1 - end if - - return - end - - integer function tstinv() - double precision tstdat(20, 12) - common /tstcom/ tstdat - double precision lat1, lon1, azi1, lat2, lon2, azi2, - + s12, a12, m12, MM12, MM21, SS12 - double precision azi1a, azi2a, s12a, a12a, - + m12a, MM12a, MM21a, SS12a - double precision a, f - integer r, assert, i, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 1 + 2 + 4 + 8 - r = 0 - - do 10 i = 1,20 - lat1 = tstdat(i, 1) - lon1 = tstdat(i, 2) - azi1 = tstdat(i, 3) - lat2 = tstdat(i, 4) - lon2 = tstdat(i, 5) - azi2 = tstdat(i, 6) - s12 = tstdat(i, 7) - a12 = tstdat(i, 8) - m12 = tstdat(i, 9) - MM12 = tstdat(i, 10) - MM21 = tstdat(i, 11) - SS12 = tstdat(i, 12) - call invers(a, f, lat1, lon1, lat2, lon2, - + s12a, azi1a, azi2a, omask, a12a, m12a, MM12a, MM21a, SS12a) - r = r + assert(azi1, azi1a, 1d-13) - r = r + assert(azi2, azi2a, 1d-13) - r = r + assert(s12, s12a, 1d-8) - r = r + assert(a12, a12a, 1d-13) - r = r + assert(m12, m12a, 1d-8) - r = r + assert(MM12, MM12a, 1d-15) - r = r + assert(MM21, MM21a, 1d-15) - r = r + assert(SS12, SS12a, 0.1d0) - 10 continue - - tstinv = r - return - end - - integer function tstdir() - double precision tstdat(20, 12) - common /tstcom/ tstdat - double precision lat1, lon1, azi1, lat2, lon2, azi2, - + s12, a12, m12, MM12, MM21, SS12 - double precision lat2a, lon2a, azi2a, a12a, - + m12a, MM12a, MM21a, SS12a - double precision a, f - integer r, assert, i, omask, flags - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 1 + 2 + 4 + 8 - flags = 2 - r = 0 - - do 10 i = 1,20 - lat1 = tstdat(i, 1) - lon1 = tstdat(i, 2) - azi1 = tstdat(i, 3) - lat2 = tstdat(i, 4) - lon2 = tstdat(i, 5) - azi2 = tstdat(i, 6) - s12 = tstdat(i, 7) - a12 = tstdat(i, 8) - m12 = tstdat(i, 9) - MM12 = tstdat(i, 10) - MM21 = tstdat(i, 11) - SS12 = tstdat(i, 12) - call direct(a, f, lat1, lon1, azi1, s12, flags, - + lat2a, lon2a, azi2a, omask, a12a, m12a, MM12a, MM21a, SS12a) - r = r + assert(lat2, lat2a, 1d-13) - r = r + assert(lon2, lon2a, 1d-13) - r = r + assert(azi2, azi2a, 1d-13) - r = r + assert(a12, a12a, 1d-13) - r = r + assert(m12, m12a, 1d-8) - r = r + assert(MM12, MM12a, 1d-15) - r = r + assert(MM21, MM21a, 1d-15) - r = r + assert(SS12, SS12a, 0.1d0) - 10 continue - - tstdir = r - return - end - - integer function tstarc() - double precision tstdat(20, 12) - common /tstcom/ tstdat - double precision lat1, lon1, azi1, lat2, lon2, azi2, - + s12, a12, m12, MM12, MM21, SS12 - double precision lat2a, lon2a, azi2a, s12a, - + m12a, MM12a, MM21a, SS12a - double precision a, f - integer r, assert, i, omask, flags - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 1 + 2 + 4 + 8 - flags = 1 + 2 - r = 0 - - do 10 i = 1,20 - lat1 = tstdat(i, 1) - lon1 = tstdat(i, 2) - azi1 = tstdat(i, 3) - lat2 = tstdat(i, 4) - lon2 = tstdat(i, 5) - azi2 = tstdat(i, 6) - s12 = tstdat(i, 7) - a12 = tstdat(i, 8) - m12 = tstdat(i, 9) - MM12 = tstdat(i, 10) - MM21 = tstdat(i, 11) - SS12 = tstdat(i, 12) - call direct(a, f, lat1, lon1, azi1, a12, flags, - + lat2a, lon2a, azi2a, omask, s12a, m12a, MM12a, MM21a, SS12a) - r = r + assert(lat2, lat2a, 1d-13) - r = r + assert(lon2, lon2a, 1d-13) - r = r + assert(azi2, azi2a, 1d-13) - r = r + assert(s12, s12a, 1d-8) - r = r + assert(m12, m12a, 1d-8) - r = r + assert(MM12, MM12a, 1d-15) - r = r + assert(MM21, MM21a, 1d-15) - r = r + assert(SS12, SS12a, 0.1d0) - 10 continue - - tstarc = r - return - end - - integer function tstg0() - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 40.6d0, -73.8d0, 49.01666667d0, 2.55d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 53.47022d0, 0.5d-5) - r = r + assert(azi2, 111.59367d0, 0.5d-5) - r = r + assert(s12, 5853226d0, 0.5d0) - - tstg0 = r - return - end - - integer function tstg1() - double precision lat2, lon2, azi2, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask, flags - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - flags = 0 - r = 0 - call direct(a, f, 40.63972222d0, -73.77888889d0, 53.5d0, 5850d3, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(lat2, 49.01467d0, 0.5d-5) - r = r + assert(lon2, 2.56106d0, 0.5d-5) - r = r + assert(azi2, 111.62947d0, 0.5d-5) - - tstg1 = r - return - end - - integer function tstg2() -* Check fix for antipodal prolate bug found 2010-09-04 - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - - a = 6.4d6 - f = -1/150d0 - omask = 0 - r = 0 - call invers(a, f, 0.07476d0, 0d0, -0.07476d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 90.00078d0, 0.5d-5) - r = r + assert(azi2, 90.00078d0, 0.5d-5) - r = r + assert(s12, 20106193d0, 0.5d0) - call invers(a, f, 0.1d0, 0d0, -0.1d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 90.00105d0, 0.5d-5) - r = r + assert(azi2, 90.00105d0, 0.5d-5) - r = r + assert(s12, 20106193d0, 0.5d0) - - tstg2 = r - return - end - - integer function tstg4() -* Check fix for short line bug found 2010-05-21 - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, - + 36.493349428792d0, 0d0, 36.49334942879201d0, .0000008d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(s12, 0.072d0, 0.5d-3) - - tstg4 = r - return - end - - integer function tstg5() - double precision lat2, lon2, azi2, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask, flags - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - flags = 0 - r = 0 - call direct(a, f, 0.01777745589997d0, 30d0, 0d0, 10d6, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - if (lon2 .lt. 0) then - r = r + assert(lon2, -150d0, 0.5d-5) - r = r + assert(abs(azi2), 180d0, 0.5d-5) - else - r = r + assert(lon2, 30d0, 0.5d-5) - r = r + assert(azi2, 0d0, 0.5d-5) - end if - - tstg5 = r - return - end - - integer function tstg6() -* Check fix for volatile sbet12a bug found 2011-06-25 (gcc 4.4d0.4d0 -* x86 -O3). Found again on 2012-03-27 with tdm-mingw32 (g++ 4.6d0.1d0). - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 88.202499451857d0, 0d0, - + -88.202499451857d0, 179.981022032992859592d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(s12, 20003898.214d0, 0.5d-3) - call invers(a, f, 89.262080389218d0, 0d0, - + -89.262080389218d0, 179.992207982775375662d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(s12, 20003925.854d0, 0.5d-3) - call invers(a, f, 89.333123580033d0, 0d0, - + -89.333123580032997687d0, 179.99295812360148422d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(s12, 20003926.881d0, 0.5d-3) - - tstg6 = r - return - end - - integer function tstg9() -* Check fix for volatile x bug found 2011-06-25 (gcc 4.4d0.4d0 x86 -O3) - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 56.320923501171d0, 0d0, - + -56.320923501171d0, 179.664747671772880215d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(s12, 19993558.287d0, 0.5d-3) - - tstg9 = r - return - end - - integer function tstg10() -* Check fix for adjust tol1_ bug found 2011-06-25 (Visual Studio 10 rel -* + debug) - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 52.784459512564d0, 0d0, - + -52.784459512563990912d0, 179.634407464943777557d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(s12, 19991596.095d0, 0.5d-3) - - tstg10 = r - return - end - - integer function tstg11() -* Check fix for bet2 = -bet1 bug found 2011-06-25 (Visual Studio 10 rel -* + debug) - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 48.522876735459d0, 0d0, - + -48.52287673545898293d0, 179.599720456223079643d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(s12, 19989144.774d0, 0.5d-3) - - tstg11 = r - return - end - - integer function tstg12() -* Check fix for inverse geodesics on extreme prolate/oblate ellipsoids -* Reported 2012-08-29 Stefan Guenther ; fixed -* 2012-10-07 - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - - a = 89.8d0 - f = -1.83d0 - omask = 0 - r = 0 - call invers(a, f, 0d0, 0d0, -10d0, 160d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 120.27d0, 1d-2) - r = r + assert(azi2, 105.15d0, 1d-2) - r = r + assert(s12, 266.7d0, 1d-1) - - tstg12 = r - return - end - - integer function tstg14() -* Check fix for inverse ignoring lon12 = nan - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f, LatFix - integer r, chknan, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 0d0, 0d0, 1d0, LatFix(91d0), - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(azi1) - r = r + chknan(azi2) - r = r + chknan(s12) - - tstg14 = r - return - end - - integer function tstg15() -* Initial implementation of Math::eatanhe was wrong for e^2 < 0. This -* checks that this is fixed. - double precision lat2, lon2, azi2, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask, flags - include 'geodesic.inc' - - a = 6.4d6 - f = -1/150.0d0 - omask = 8 - flags = 0 - r = 0 - call direct(a, f, 1d0, 2d0, 3d0, 4d0, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(SS12, 23700d0, 0.5d0) - - tstg15 = r - return - end - - integer function tstg17() -* Check fix for LONG_UNROLL bug found on 2015-05-07 - double precision lat2, lon2, azi2, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask, flags - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - flags = 2 - r = 0 - call direct(a, f, 40d0, -75d0, -10d0, 2d7, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(lat2, -39d0, 1d0) - r = r + assert(lon2, -254d0, 1d0) - r = r + assert(azi2, -170d0, 1d0) - flags = 0 - call direct(a, f, 40d0, -75d0, -10d0, 2d7, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(lat2, -39d0, 1d0) - r = r + assert(lon2, 105d0, 1d0) - r = r + assert(azi2, -170d0, 1d0) - - tstg17 = r - return - end - - integer function tstg26() -* Check 0/0 problem with area calculation on sphere 2015-09-08 - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - - a = 6.4d6 - f = 0 - omask = 8 - r = 0 - call invers(a, f, 1d0, 2d0, 3d0, 4d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(SS12, 49911046115.0d0, 0.5d0) - - tstg26 = r - return - end - - integer function tstg28() -* Check fix for LONG_UNROLL bug found on 2015-05-07 - double precision lat2, lon2, azi2, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask, flags - include 'geodesic.inc' - - a = 6.4d6 - f = 0.1d0 - omask = 1 + 2 + 4 + 8 - flags = 0 - r = 0 - call direct(a, f, 1d0, 2d0, 10d0, 5d6, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(a12, 48.55570690d0, 0.5d-8) - - tstg28 = r - return - end - - integer function tstg33() -* Check max(-0.0,+0.0) issues 2015-08-22 (triggered by bugs in Octave -- -* sind(-0.0) = +0.0 -- and in some version of Visual Studio -- -* fmod(-0.0, 360.0) = +0.0. - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 0d0, 0d0, 0d0, 179d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 90.00000d0, 0.5d-5) - r = r + assert(azi2, 90.00000d0, 0.5d-5) - r = r + assert(s12, 19926189d0, 0.5d0) - call invers(a, f, 0d0, 0d0, 0d0, 179.5d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 55.96650d0, 0.5d-5) - r = r + assert(azi2, 124.03350d0, 0.5d-5) - r = r + assert(s12, 19980862d0, 0.5d0) - call invers(a, f, 0d0, 0d0, 0d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 0.00000d0, 0.5d-5) - r = r + assert(abs(azi2), 180.00000d0, 0.5d-5) - r = r + assert(s12, 20003931d0, 0.5d0) - call invers(a, f, 0d0, 0d0, 1d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 0.00000d0, 0.5d-5) - r = r + assert(abs(azi2), 180.00000d0, 0.5d-5) - r = r + assert(s12, 19893357d0, 0.5d0) - a = 6.4d6 - f = 0 - call invers(a, f, 0d0, 0d0, 0d0, 179d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 90.00000d0, 0.5d-5) - r = r + assert(azi2, 90.00000d0, 0.5d-5) - r = r + assert(s12, 19994492d0, 0.5d0) - call invers(a, f, 0d0, 0d0, 0d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 0.00000d0, 0.5d-5) - r = r + assert(abs(azi2), 180.00000d0, 0.5d-5) - r = r + assert(s12, 20106193d0, 0.5d0) - call invers(a, f, 0d0, 0d0, 1d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 0.00000d0, 0.5d-5) - r = r + assert(abs(azi2), 180.00000d0, 0.5d-5) - r = r + assert(s12, 19994492d0, 0.5d0) - a = 6.4d6 - f = -1/300.0d0 - call invers(a, f, 0d0, 0d0, 0d0, 179d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 90.00000d0, 0.5d-5) - r = r + assert(azi2, 90.00000d0, 0.5d-5) - r = r + assert(s12, 19994492d0, 0.5d0) - call invers(a, f, 0d0, 0d0, 0d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 90.00000d0, 0.5d-5) - r = r + assert(azi2, 90.00000d0, 0.5d-5) - r = r + assert(s12, 20106193d0, 0.5d0) - call invers(a, f, 0d0, 0d0, 0.5d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 33.02493d0, 0.5d-5) - r = r + assert(azi2, 146.97364d0, 0.5d-5) - r = r + assert(s12, 20082617d0, 0.5d0) - call invers(a, f, 0d0, 0d0, 1d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 0.00000d0, 0.5d-5) - r = r + assert(abs(azi2), 180.00000d0, 0.5d-5) - r = r + assert(s12, 20027270d0, 0.5d0) - - tstg33 = r - return - end - - integer function tstg55() -* Check fix for nan + point on equator or pole not returning all nans in -* Geodesic::Inverse, found 2015-09-23. - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, chknan, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 91d0, 0d0, 0d0, 90d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(azi1) - r = r + chknan(azi2) - r = r + chknan(s12) - call invers(a, f, 91d0, 0d0, 90d0, 9d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(azi1) - r = r + chknan(azi2) - r = r + chknan(s12) - - tstg55 = r - return - end - - integer function tstg59() -* Check for points close with longitudes close to 180 deg apart. - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 5d0, 0.00000000000001d0, 10d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 0.000000000000035d0, 1.5d-14) - r = r + assert(azi2, 179.99999999999996d0, 1.5d-14) - r = r + assert(s12, 18345191.174332713d0, 5d-9) - - tstg59 = r - return - end - - integer function tstg61() -* Make sure small negative azimuths are west-going - double precision lat2, lon2, azi2, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask, flags - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - flags = 2 - r = 0 - call direct(a, f, 45d0, 0d0, -0.000000000000000003d0, 1d7, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(lat2, 45.30632d0, 0.5d-5) - r = r + assert(lon2, -180d0, 0.5d-5) - r = r + assert(abs(azi2), 180d0, 0.5d-5) - - tstg61 = r - return - end - - integer function tstg73() -* Check for backwards from the pole bug reported by Anon on 2016-02-13. -* This only affected the Java implementation. It was introduced in Java -* version 1.44 and fixed in 1.46-SNAPSHOT on 2016-01-17. -* Also the + sign on azi2 is a check on the normalizing of azimuths -* (converting -0.0 to +0.0). - double precision lat2, lon2, azi2, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask, flags - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - flags = 0 - r = 0 - call direct(a, f, 90d0, 10d0, 180d0, -1d6, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(lat2, 81.04623d0, 0.5d-5) - r = r + assert(lon2, -170d0, 0.5d-5) - r = r + assert(azi2, 0d0, 0d0) - r = r + assert(sign(1d0, azi2), 1d0, 0d0) - - tstg73 = r - return - end - - integer function tstg74() -* Check fix for inaccurate areas, bug introduced in v1.46, fixed -* 2015-10-16. - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 1 + 2 + 4 + 8 - r = 0 - call invers(a, f, 54.1589d0, 15.3872d0, 54.1591d0, 15.3877d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 55.723110355d0, 5d-9) - r = r + assert(azi2, 55.723515675d0, 5d-9) - r = r + assert(s12, 39.527686385d0, 5d-9) - r = r + assert(a12, 0.000355495d0, 5d-9) - r = r + assert(m12, 39.527686385d0, 5d-9) - r = r + assert(MM12, 0.999999995d0, 5d-9) - r = r + assert(MM21, 0.999999995d0, 5d-9) - r = r + assert(SS12, 286698586.30197d0, 5d-4) - - tstg74 = r - return - end - - integer function tstg76() -* The distance from Wellington and Salamanca (a classic failure of -* Vincenty - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, - + -(41+19/60d0), 174+49/60d0, 40+58/60d0, -(5+30/60d0), - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 160.39137649664d0, 0.5d-11) - r = r + assert(azi2, 19.50042925176d0, 0.5d-11) - r = r + assert(s12, 19960543.857179d0, 0.5d-6) - - tstg76 = r - return - end - - integer function tstg78() -* An example where the NGS calculator fails to converge - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - r = 0 - call invers(a, f, 27.2d0, 0d0, -27.1d0, 179.5d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(azi1, 45.82468716758d0, 0.5d-11) - r = r + assert(azi2, 134.22776532670d0, 0.5d-11) - r = r + assert(s12, 19974354.765767d0, 0.5d-6) - - tstg78 = r - return - end - - integer function tstg80() -* Some tests to add code coverage: computing scale in special cases + zero -* length geodesic (includes GeodSolve80 - GeodSolve83). - double precision azi1, azi2, s12, a12, m12, MM12, MM21, SS12 - double precision a, f - integer r, assert, omask - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 4 - r = 0 - - call invers(a, f, 0d0, 0d0, 0d0, 90d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(MM12, -0.00528427534d0, 0.5d-10) - r = r + assert(MM21, -0.00528427534d0, 0.5d-10) - - call invers(a, f, 0d0, 0d0, 1d-6, 1d-6, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(MM12, 1d0, 0.5d-10) - r = r + assert(MM21, 1d0, 0.5d-10) - - omask = 15 - call invers(a, f, 20.001d0, 0d0, 20.001d0, 0d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(a12, 0d0, 1d-13) - r = r + assert(s12, 0d0, 1d-8) - r = r + assert(azi1, 180d0, 1d-13) - r = r + assert(azi2, 180d0, 1d-13) - r = r + assert(m12, 0d0, 1d-8) - r = r + assert(MM12, 1d0, 1d-15) - r = r + assert(MM21, 1d0, 1d-15) - r = r + assert(SS12, 0d0, 1d-10) - - call invers(a, f, 90d0, 0d0, 90d0, 180d0, - + s12, azi1, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(a12, 0d0, 1d-13) - r = r + assert(s12, 0d0, 1d-8) - r = r + assert(azi1, 0d0, 1d-13) - r = r + assert(azi2, 180d0, 1d-13) - r = r + assert(m12, 0d0, 1d-8) - r = r + assert(MM12, 1d0, 1d-15) - r = r + assert(MM21, 1d0, 1d-15) - r = r + assert(SS12, 127516405431022d0, 0.5d0) - - tstg80 = r - return - end - - integer function tstg84() -* Tests for python implementation to check fix for range errors with -* {fmod,sin,cos}(inf) (includes GeodSolve84 - GeodSolve86). - double precision lat2, lon2, azi2, a12, m12, MM12, MM21, SS12 - double precision a, f, nan, inf, LatFix - integer r, assert, chknan, omask, flags - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - omask = 0 - flags = 0 - inf = 1d0/LatFix(0d0) - nan = LatFix(91d0) - r = 0 - call direct(a, f, 0d0, 0d0, 90d0, inf, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(lat2) - r = r + chknan(lon2) - r = r + chknan(azi2) - call direct(a, f, 0d0, 0d0, 90d0, nan, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(lat2) - r = r + chknan(lon2) - r = r + chknan(azi2) - call direct(a, f, 0d0, 0d0, inf, 1000d0, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(lat2) - r = r + chknan(lon2) - r = r + chknan(azi2) - call direct(a, f, 0d0, 0d0, nan, 1000d0, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(lat2) - r = r + chknan(lon2) - r = r + chknan(azi2) - call direct(a, f, 0d0, inf, 90d0, 1000d0, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(lat2, 0d0, 0d0) - r = r + chknan(lon2) - r = r + assert(azi2, 90d0, 0d0) - call direct(a, f, 0d0, nan, 90d0, 1000d0, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + assert(lat2, 0d0, 0d0) - r = r + chknan(lon2) - r = r + assert(azi2, 90d0, 0d0) - call direct(a, f, inf, 0d0, 90d0, 1000d0, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(lat2) - r = r + chknan(lon2) - r = r + chknan(azi2) - call direct(a, f, nan, 0d0, 90d0, 1000d0, - + flags, lat2, lon2, azi2, omask, a12, m12, MM12, MM21, SS12) - r = r + chknan(lat2) - r = r + chknan(lon2) - r = r + chknan(azi2) - - tstg84 = r - return - end - - integer function tstp0() -* Check fix for pole-encircling bug found 2011-03-16 - double precision lata(4), lona(4) - data lata / 89d0, 89d0, 89d0, 89d0 / - data lona / 0d0, 90d0, 180d0, 270d0 / - double precision latb(4), lonb(4) - data latb / -89d0, -89d0, -89d0, -89d0 / - data lonb / 0d0, 90d0, 180d0, 270d0 / - double precision latc(4), lonc(4) - data latc / 0d0, -1d0, 0d0, 1d0 / - data lonc / -1d0, 0d0, 1d0, 0d0 / - double precision latd(3), lond(3) - data latd / 90d0, 0d0, 0d0 / - data lond / 0d0, 0d0, 90d0 / - double precision a, f, AA, PP - integer r, assert - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - r = 0 - - call area(a, f, lata, lona, 4, AA, PP) - r = r + assert(PP, 631819.8745d0, 1d-4) - r = r + assert(AA, 24952305678.0d0, 1d0) - - call area(a, f, latb, lonb, 4, AA, PP) - r = r + assert(PP, 631819.8745d0, 1d-4) - r = r + assert(AA, -24952305678.0d0, 1d0) - - call area(a, f, latc, lonc, 4, AA, PP) - r = r + assert(PP, 627598.2731d0, 1d-4) - r = r + assert(AA, 24619419146.0d0, 1d0) - - call area(a, f, latd, lond, 3, AA, PP) - r = r + assert(PP, 30022685d0, 1d0) - r = r + assert(AA, 63758202715511.0d0, 1d0) - - tstp0 = r - return - end - - integer function tstp5() -* Check fix for Planimeter pole crossing bug found 2011-06-24 - double precision lat(3), lon(3) - data lat / 89d0, 89d0, 89d0 / - data lon / 0.1d0, 90.1d0, -179.9d0 / - double precision a, f, AA, PP - integer r, assert - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - r = 0 - - call area(a, f, lat, lon, 3, AA, PP) - r = r + assert(PP, 539297d0, 1d0) - r = r + assert(AA, 12476152838.5d0, 1d0) - - tstp5 = r - return - end - - integer function tstp6() -* Check fix for pole-encircling bug found 2011-03-16 - double precision lata(3), lona(3) - data lata / 9d0, 9d0, 9d0 / - data lona / -0.00000000000001d0, 180d0, 0d0 / - double precision latb(3), lonb(3) - data latb / 9d0, 9d0, 9d0 / - data lonb / 0.00000000000001d0, 0d0, 180d0 / - double precision latc(3), lonc(3) - data latc / 9d0, 9d0, 9d0 / - data lonc / 0.00000000000001d0, 180d0, 0d0 / - double precision latd(3), lond(3) - data latd / 9d0, 9d0, 9d0 / - data lond / -0.00000000000001d0, 0d0, 180d0 / - double precision a, f, AA, PP - integer r, assert - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - r = 0 - - call area(a, f, lata, lona, 3, AA, PP) - r = r + assert(PP, 36026861d0, 1d0) - r = r + assert(AA, 0d0, 1d0) - - tstp6 = r - return - end - - integer function tstp12() -* AA of arctic circle (not really -- adjunct to rhumb-AA test) - double precision lat(2), lon(2) - data lat / 66.562222222d0, 66.562222222d0 / - data lon / 0d0, 180d0 / - double precision a, f, AA, PP - integer r, assert - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - r = 0 - - call area(a, f, lat, lon, 2, AA, PP) - r = r + assert(PP, 10465729d0, 1d0) - r = r + assert(AA, 0d0, 1d0) - - tstp12 = r - return - end - - integer function tstp13() -* Check encircling pole twice - double precision lat(6), lon(6) - data lat / 89d0, 89d0, 89d0, 89d0, 89d0, 89d0 / - data lon / -360d0, -240d0, -120d0, 0d0, 120d0, 240d0 / - double precision a, f, AA, PP - integer r, assert - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - r = 0 - - call area(a, f, lat, lon, 6, AA, PP) - r = r + assert(PP, 1160741d0, 1d0) - r = r + assert(AA, 32415230256.0d0, 1d0) - - tstp13 = r - return - end - - integer function tstp15() -* Coverage tests, includes Planimeter15 - Planimeter18 (combinations of -* reverse and sign). But flags aren't supported in the Fortran -* implementation. - double precision lat(3), lon(3) - data lat / 2d0, 1d0, 3d0 / - data lon / 1d0, 2d0, 3d0 / - double precision a, f, AA, PP - integer r, assert - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - r = 0 - - call area(a, f, lat, lon, 3, AA, PP) - r = r + assert(AA, 18454562325.45119d0, 1d0) -* Interchanging lat and lon is equivalent to traversing the polygon -* backwards. - call area(a, f, lon, lat, 3, AA, PP) - r = r + assert(AA, -18454562325.45119d0, 1d0) - - tstp15 = r - return - end - - integer function tstp19() -* Coverage tests, includes Planimeter19 - Planimeter20 (degenerate -* polygons). - double precision lat(1), lon(1) - data lat / 1d0 / - data lon / 1d0 / - double precision a, f, AA, PP - integer r, assert - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - r = 0 - - call area(a, f, lat, lon, 1, AA, PP) - r = r + assert(AA, 0d0, 0d0) - r = r + assert(PP, 0d0, 0d0) - - tstp19 = r - return - end - - integer function tstp21() -* Some test to add code coverage: multiple circlings of pole (includes -* Planimeter21 - Planimeter28). - double precision lat(12), lon(12), lonr(12) - data lat / 12*45d0 / - data lon / 60d0, 180d0, -60d0, - + 60d0, 180d0, -60d0, - + 60d0, 180d0, -60d0, - + 60d0, 180d0, -60d0 / - data lonr / -60d0, 180d0, 60d0, - + -60d0, 180d0, 60d0, - + -60d0, 180d0, 60d0, - + -60d0, 180d0, 60d0 / - double precision a, f, AA, PP, AA1 - integer r, assert - include 'geodesic.inc' - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - r = 0 -* Area for one circuit - AA1 = 39433884866571.4277d0 - - do 10 i = 3,4 - call area(a, f, lat, lon, 3*i, AA, PP) - r = r + assert(AA, AA1*i, 0.5d0) - call area(a, f, lat, lonr, 3*i, AA, PP) - r = r + assert(AA, -AA1*i, 0.5d0) - 10 continue - - tstp21 = r - return - end - - program geodtest - integer n, i - integer tstinv, tstdir, tstarc, - + tstg0, tstg1, tstg2, tstg5, tstg6, tstg9, tstg10, tstg11, - + tstg12, tstg14, tstg15, tstg17, tstg26, tstg28, tstg33, - + tstg55, tstg59, tstg61, tstg73, tstg74, tstg76, tstg78, - + tstg80, tstg84, - + tstp0, tstp5, tstp6, tstp12, tstp13, tstp15, tstp19, tstp21 - - n = 0 - i = tstinv() - if (i .gt. 0) then - n = n + 1 - print *, 'tstinv fail:', i - end if - i = tstdir() - if (i .gt. 0) then - n = n + 1 - print *, 'tstdir fail:', i - end if - i = tstarc() - if (i .gt. 0) then - n = n + 1 - print *, 'tstarc fail:', i - end if - i = tstg0() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg0 fail:', i - end if - i = tstg1() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg1 fail:', i - end if - i = tstg2() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg2 fail:', i - end if - i = tstg5() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg5 fail:', i - end if - i = tstg6() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg6 fail:', i - end if - i = tstg9() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg9 fail:', i - end if - i = tstg10() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg10 fail:', i - end if - i = tstg11() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg11 fail:', i - end if - i = tstg12() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg12 fail:', i - end if - i = tstg14() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg14 fail:', i - end if - i = tstg15() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg15 fail:', i - end if - i = tstg17() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg17 fail:', i - end if - i = tstg26() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg26 fail:', i - end if - i = tstg28() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg28 fail:', i - end if - i = tstg33() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg33 fail:', i - end if - i = tstg55() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg55 fail:', i - end if - i = tstg59() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg59 fail:', i - end if - i = tstg61() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg61 fail:', i - end if - i = tstg73() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg73 fail:', i - end if - i = tstg74() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg74 fail:', i - end if - i = tstg76() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg76 fail:', i - end if - i = tstg78() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg78 fail:', i - end if - i = tstg80() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg80 fail:', i - end if - i = tstg84() - if (i .gt. 0) then - n = n + 1 - print *, 'tstg84 fail:', i - end if - i = tstp0() - if (i .gt. 0) then - n = n + 1 - print *, 'tstp0 fail:', i - end if - i = tstp5() - if (i .gt. 0) then - n = n + 1 - print *, 'tstp5 fail:', i - end if - i = tstp6() - if (i .gt. 0) then - n = n + 1 - print *, 'tstp6 fail:', i - end if - i = tstp12() - if (i .gt. 0) then - n = n + 1 - print *, 'tstp12 fail:', i - end if - i = tstp13() - if (i .gt. 0) then - n = n + 1 - print *, 'tstp13 fail:', i - end if - i = tstp15() - if (i .gt. 0) then - n = n + 1 - print *, 'tstp15 fail:', i - end if - i = tstp19() - if (i .gt. 0) then - n = n + 1 - print *, 'tstp19 fail:', i - end if - i = tstp21() - if (i .gt. 0) then - n = n + 1 - print *, 'tstp21 fail:', i - end if - - if (n .gt. 0) then - stop 1 - end if - - stop - end - -*> @endcond SKIP diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/ngscommon.for b/libs/GeographicLib-1.50.1/legacy/Fortran/ngscommon.for deleted file mode 100644 index 20d5d40e7c5f5048d234160a154b4415a73f6f94..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/ngscommon.for +++ /dev/null @@ -1,806 +0,0 @@ - subroutine bufdms (buff,lgh,hem,dd,dm,ds,ierror) - implicit double precision (a-h, o-z) - implicit integer (i-n) -c - logical done,flag -c - character*1 buff(*),abuf(21) - character*1 ch - character*1 hem - integer*4 ll,lgh - integer*4 i4,id,im,is,icond,ierror - real*8 x(5) -c -c set the "error flag" -c - ierror = 0 - icond = 0 -c -c set defaults for dd,dm,ds -c - dd = 0.0d0 - dm = 0.0d0 - ds = 0.0d0 -c -c set default limits for "hem" flag -c - if( hem.eq.'N' .or. hem.eq.'S' )then - ddmax = 90.0d0 - elseif( hem.eq.'E' .or. hem.eq.'W' )then - ddmax = 360.0d0 - elseif( hem.eq.'A' )then - ddmax = 360.0d0 - elseif( hem.eq.'Z' )then - ddmax = 180.0d0 - elseif( hem.eq.'*' )then - ddmax = 0.0d0 - ierror = 1 - else - ddmax = 360.0d0 - endif -c - do 1 i=1,5 - x(i) = 0.0d0 - 1 continue -c - icolon = 0 - ipoint = 0 - icount = 0 - flag = .true. - jlgh = lgh -c - do 2 i=1,jlgh - if( buff(i).eq.':' )then - icolon = icolon+1 - endif - if( buff(i).eq.'.' )then - ipoint = ipoint+1 - flag = .false. - endif - if( flag )then - icount = icount+1 - endif - 2 continue -c - if( ipoint.eq.1 .and. icolon.eq.0 )then -c -c load temp buffer -c - do 3 i=1,jlgh - abuf(i) = buff(i) - 3 continue - abuf(jlgh+1) = '$' - ll = jlgh -c - call gvalr8 (abuf,ll,r8,icond) -c - if( icount.ge.5 )then -c -c value is a packed decimal of ==> DDMMSS.sssss -c - ss = r8/10000.0d0 - id = idint( ss ) -c - r8 = r8-10000.0d0*dble(float(id)) - ss = r8/100.0d0 - im = idint( ss ) -c - r8 = r8-100.0d0*dble(float(im)) - else -c -c value is a decimal of ==> .xx X.xxx X. -c - id = idint( r8 ) - r8 = (r8-id)*60.0d0 - im = idint( r8 ) - r8 = (r8-im)*60.0d0 - endif -c -c account for rounding error -c - is = idnint( r8*1.0d5 ) - if( is.ge.6000000 )then - r8 = 0.0d0 - im = im+1 - endif -c - if( im.ge.60 )then - im = 0 - id = id+1 - endif -c - dd = dble( float( id ) ) - dm = dble( float( im ) ) - ds = r8 - else -c -c buff() value is a d,m,s of ==> NN:NN:XX.xxx -c - k = 0 - next = 1 - done = .false. - ie = jlgh -c - do 100 j=1,5 - ib = next - do 90 i=ib,ie - ch = buff(i) - last = i - if( i.eq.jlgh .or. ch.eq.':' )then - if( i.eq.jlgh )then - done = .true. - endif - if( ch.eq.':' )then - last = i-1 - endif - goto 91 - endif - 90 continue - goto 98 -c - 91 ipoint = 0 - ik = 0 - do 92 i=next,last - ik = ik+1 - ch = buff(i) - if( ch.eq.'.' )then - ipoint = ipoint+1 - endif - abuf(ik) = buff(i) - 92 continue - abuf(ik+1) = '$' -c - ll = ik - if( ipoint.eq.0 )then - call gvali4 (abuf,ll,i4,icond) - r8 = dble(float( i4 )) - else - call gvalr8 (abuf,ll,r8,icond) - endif -c - k = k+1 - x(k) = r8 -c - 98 if( done )then - goto 101 - endif -c - next = last - 99 next = next+1 - if( buff(next).eq.':' )then - goto 99 - endif - 100 continue -c -c load dd,dm,ds -c - 101 if( k.ge.1 )then - dd = x(1) - endif -c - if( k.ge.2 )then - dm = x(2) - endif -c - if( k.ge.3 )then - ds = x(3) - endif - endif -c - if( dd.gt.ddmax .or. - 1 dm.ge.60.0d0 .or. - 1 ds.ge.60.0d0 )then - ierror = 1 - dd = 0.0d0 - dm = 0.0d0 - ds = 0.0d0 - endif -c - if( icond.ne.0 )then - ierror = 1 - endif -c - return - end - - subroutine elipss (elips) - implicit double precision(a-h,o-z) - character*1 answer - character*30 elips - common/elipsoid/a,f - write(*,*) ' Other Ellipsoids.' - write(*,*) ' -----------------' - write(*,*) ' ' - write(*,*) ' A) Airy 1858' - write(*,*) ' B) Airy Modified' - write(*,*) ' C) Australian National' - write(*,*) ' D) Bessel 1841' - write(*,*) ' E) Clarke 1880' - write(*,*) ' F) Everest 1830' - write(*,*) ' G) Everest Modified' - write(*,*) ' H) Fisher 1960' - write(*,*) ' I) Fisher 1968' - write(*,*) ' J) Hough 1956' - write(*,*) ' K) International (Hayford)' - write(*,*) ' L) Krassovsky 1938' - write(*,*) ' M) NWL-9D (WGS 66)' - write(*,*) ' N) South American 1969' - write(*,*) ' O) Soviet Geod. System 1985' - write(*,*) ' P) WGS 72' - write(*,*) ' Q-Z) User defined.' - write(*,*) ' ' - write(*,*) ' Enter choice : ' - read(*,10) answer - 10 format(a1) -c - if(answer.eq.'A'.or.answer.eq.'a') then - a=6377563.396d0 - f=1.d0/299.3249646d0 - elips='Airy 1858' - elseif(answer.eq.'B'.or.answer.eq.'b') then - a=6377340.189d0 - f=1.d0/299.3249646d0 - elips='Airy Modified' - elseif(answer.eq.'C'.or.answer.eq.'c') then - a=6378160.d0 - f=1.d0/298.25d0 - elips='Australian National' - elseif(answer.eq.'D'.or.answer.eq.'d') then - a=6377397.155d0 - f=1.d0/299.1528128d0 - elips='Bessel 1841' - elseif(answer.eq.'E'.or.answer.eq.'e') then - a=6378249.145d0 - f=1.d0/293.465d0 - elips='Clarke 1880' - elseif(answer.eq.'F'.or.answer.eq.'f') then - a=6377276.345d0 - f=1.d0/300.8017d0 - elips='Everest 1830' - elseif(answer.eq.'G'.or.answer.eq.'g') then - a=6377304.063d0 - f=1.d0/300.8017d0 - elips='Everest Modified' - elseif(answer.eq.'H'.or.answer.eq.'h') then - a=6378166.d0 - f=1.d0/298.3d0 - elips='Fisher 1960' - elseif(answer.eq.'I'.or.answer.eq.'i') then - a=6378150.d0 - f=1.d0/298.3d0 - elips='Fisher 1968' - elseif(answer.eq.'J'.or.answer.eq.'j') then - a=6378270.d0 - f=1.d0/297.d0 - elips='Hough 1956' - elseif(answer.eq.'K'.or.answer.eq.'k') then - a=6378388.d0 - f=1.d0/297.d0 - elips='International (Hayford)' - elseif(answer.eq.'L'.or.answer.eq.'l') then - a=6378245.d0 - f=1.d0/298.3d0 - elips='Krassovsky 1938' - elseif(answer.eq.'M'.or.answer.eq.'m') then - a=6378145.d0 - f=1.d0/298.25d0 - elips='NWL-9D (WGS 66)' - elseif(answer.eq.'N'.or.answer.eq.'n') then - a=6378160.d0 - f=1.d0/298.25d0 - elips='South American 1969' - elseif(answer.eq.'O'.or.answer.eq.'o') then - a=6378136.d0 - f=1.d0/298.257d0 - elips='Soviet Geod. System 1985' - elseif(answer.eq.'P'.or.answer.eq.'p') then - a=6378135.d0 - f=1.d0/298.26d0 - elips='WGS 72' - else - elips = 'User defined.' -c - write(*,*) ' Enter Equatorial axis, a : ' - read(*,*) a - a = dabs(a) -c - write(*,*) ' Enter either Polar axis, b or ' - write(*,*) ' Reciprocal flattening, 1/f : ' - read(*,*) ss - ss = dabs(ss) -c - f = 0.0d0 - if( 200.0d0.le.ss .and. ss.le.310.0d0 )then - f = 1.d0/ss - elseif( 6000000.0d0.lt.ss .and. ss.lt.a )then - f = (a-ss)/a - else - elips = 'Error: default GRS80 used.' - a = 6378137.0d0 - f = 1.0d0/298.25722210088d0 - endif - endif -c - return - end - - subroutine fixdms (ideg, min, sec, tol ) -c - implicit double precision (a-h, o-z) - implicit integer (i-n) -c -c test for seconds near 60.0-tol -c - if( sec.ge.( 60.0d0-tol ) )then - sec = 0.0d0 - min = min+1 - endif -c -c test for minutes near 60 -c - if( min.ge.60 )then - min = 0 - ideg = ideg+1 - endif -c -c test for degrees near 360 -c - if( ideg.ge.360 )then - ideg = 0 - endif -c - return - end - - subroutine hem_ns ( lat_sn, hem ) - implicit integer (i-n) - character*6 hem -c - if( lat_sn.eq.1 ) then - hem = 'North ' - else - hem = 'South ' - endif -c - return - end - - subroutine hem_ew ( lon_sn, hem ) - implicit integer (i-n) - character*6 hem -c - if( lon_sn.eq.1 ) then - hem = 'East ' - else - hem = 'West ' - endif -c - return - end - - subroutine getdeg(d,m,sec,isign,val) - -*** comvert deg, min, sec to degrees - - implicit double precision(a-h,j-z) - - val=(d+m/60.d0+sec/3600.d0) - val=dble(isign)*val - - return - end - - subroutine gvali4 (buff,ll,vali4,icond) - implicit integer (i-n) -c - logical plus,sign,done,error - character*1 buff(*) - character*1 ch -c -c integer*2 i -c integer*2 l1 -c - integer*4 ich,icond - integer*4 ll - integer*4 vali4 -c - l1 = ll - vali4 = 0 - icond = 0 - plus = .true. - sign = .false. - done = .false. - error = .false. -c - i = 0 - 10 i = i+1 - if( i.gt.l1 .or. done )then - go to 1000 - else - ch = buff(i) - ich = ichar( buff(i) ) - endif -c - if( ch.eq.'+' )then -c -c enter on plus sign -c - if( sign )then - goto 150 - else - sign = .true. - goto 10 - endif - elseif( ch.eq.'-' )then -c -c enter on minus sign -c - if( sign )then - goto 150 - else - sign = .true. - plus = .false. - goto 10 - endif - elseif( ch.ge.'0' .and. ch.le.'9' )then - goto 100 - elseif( ch.eq.' ' )then -c -c enter on space -- ignore leading spaces -c - if( .not.sign )then - goto 10 - else - buff(i) = '0' - ich = 48 - goto 100 - endif - elseif( ch.eq.':' )then -c -c enter on colon -- ignore -c - if( .not.sign )then - goto 10 - else - goto 1000 - endif - elseif( ch.eq.'$' )then -c -c enter on dollar "$" -c - done = .true. - goto 10 - else -c -c something wrong -c - goto 150 - endif -c -c enter on numeric -c - 100 vali4 = 10*vali4+(ich-48) - sign = .true. - goto 10 -c -c treat illegal character -c - 150 buff(i) = '0' - vali4 = 0 - icond = 1 -c - 1000 if( .not.plus )then - vali4 = -vali4 - endif -c - return - end - - subroutine gvalr8 (buff,ll,valr8,icond) - implicit integer (i-n) -c - logical plus,sign,dpoint,done -c - character*1 buff(*) - character*1 ch -c -c integer*2 i, ip -c integer*2 l1 -c integer*2 nn, num, n48 -c - integer*4 ich,icond - integer*4 ll -c - real*8 ten - real*8 valr8 - real*8 zero -c - data zero,ten/0.0d0,10.0d0/ -c - n48 = 48 - l1 = ll - icond = 0 - valr8 = zero - plus = .true. - sign = .false. - dpoint = .false. - done = .false. -c -c start loop thru buffer -c - i = 0 - 10 i = i+1 - if( i.gt.l1 .or. done )then - go to 1000 - else - ch = buff(i) - nn = ichar( ch ) - ich = nn - endif -c - if( ch.eq.'+' )then -c -c enter on plus sign -c - if( sign )then - goto 150 - else - sign = .true. - goto 10 - endif - elseif( ch.eq.'-' )then -c -c enter on minus sign -c - if( sign )then - goto 150 - else - sign = .true. - plus = .false. - goto 10 - endif - elseif( ch.eq.'.' )then -c -c enter on decimal point -c - ip = 0 - sign = .true. - dpoint = .true. - goto 10 - elseif( ch.ge.'0' .and. ch.le.'9' )then - goto 100 - elseif( ch.eq.' ' )then -c -c enter on space -c - if( .not.sign )then - goto 10 - else - buff(i) = '0' - ich = 48 - goto 100 - endif - elseif( ch.eq.':' .or. ch.eq.'$' )then -c -c enter on colon or "$" sign -c - done = .true. - goto 10 - else -c -c something wrong -c - goto 150 - endif -c -c enter on numeric -c - 100 sign = .true. - if( dpoint )then - ip = ip+1 - endif -c - num = ich - valr8 = ten*valr8+dble(float( num-n48 )) - goto 10 -c -c treat illegal character -c - 150 buff(i) = '0' - valr8 = 0.0d0 - icond = 1 -c - 1000 if( dpoint )then - valr8 = valr8/(ten**ip) - endif -c - if( .not.plus )then - valr8 = -valr8 - endif -c - return - end - - subroutine todmsp(val,id,im,s,isign) - -*** convert position degrees to deg,min,sec -*** range is [-180 to +180] - - implicit double precision(a-h,o-z) - - 1 if(val.gt.180) then - val=val-180-180 - go to 1 - endif - - 2 if(val.lt.-180) then - val=val+180+180 - go to 2 - endif - - if(val.lt.0.d0) then - isign=-1 - else - isign=+1 - endif - - s=dabs(val) - id=idint(s) - s=(s-id)*60.d0 - im=idint(s) - s=(s-im)*60.d0 - -*** account for rounding error - - is=idnint(s*1.d5) - if(is.ge.6000000) then - s=0.d0 - im=im+1 - endif - if(im.ge.60) then - im=0 - id=id+1 - endif - - return - end - - subroutine trim (buff,lgh,hem) -c - implicit integer (i-n) - character*1 ch,hem - character*1 buff(*) - integer*4 lgh -c - ibeg = 1 - do 10 i=1,50 - if( buff(i).ne.' ' )then - goto 11 - endif - ibeg = ibeg+1 - 10 continue - 11 continue - if( ibeg.ge.50 )then - ibeg = 1 - buff(ibeg) = '0' - endif -c - iend = 50 - do 20 i=1,50 - j = 51-i - if( buff(j).eq.' ' )then - iend = iend-1 - else - goto 21 - endif - 20 continue - 21 continue -c - ch = buff(ibeg) - if( hem.eq.'N' )then - if( ch.eq.'N' .or. ch.eq.'n' .or. ch.eq.'+' )then - hem = 'N' - ibeg = ibeg+1 - endif - if( ch.eq.'S' .or. ch.eq.'s' .or. ch.eq.'-' )then - hem = 'S' - ibeg = ibeg+1 - endif -c -c check for wrong hemisphere entry -c - if( ch.eq.'E' .or. ch.eq.'e' )then - hem = '*' - ibeg = ibeg+1 - endif - if( ch.eq.'W' .or. ch.eq.'w' )then - hem = '*' - ibeg = ibeg+1 - endif - elseif( hem.eq.'W' )then - if( ch.eq.'E' .or. ch.eq.'e' .or. ch.eq.'+' )then - hem = 'E' - ibeg = ibeg+1 - endif - if( ch.eq.'W' .or. ch.eq.'w' .or. ch.eq.'-' )then - hem = 'W' - ibeg = ibeg+1 - endif -c -c check for wrong hemisphere entry -c - if( ch.eq.'N' .or. ch.eq.'n' )then - hem = '*' - ibeg = ibeg+1 - endif - if( ch.eq.'S' .or. ch.eq.'s' )then - hem = '*' - ibeg = ibeg+1 - endif - elseif( hem.eq.'A' )then - if( .not.('0'.le.ch .and. ch.le.'9') )then - hem = '*' - ibeg = ibeg+1 - endif - else -c do nothing - endif -c -c - do 30 i=ibeg,iend - ch = buff(i) -c - if( ch.eq.':' .or. ch.eq.'.' )then - goto 30 - elseif( ch.eq.' ' .or. ch.eq.',' )then - buff(i) = ':' - elseif( '0'.le.ch .and. ch.le.'9' )then - goto 30 - else - buff(i) = ':' - endif -c - 30 continue -c -c left justify buff() array to its first character position -c also check for a ":" char in the starting position, -c if found!! skip it -c - j = 0 - ib = ibeg - ie = iend -c - do 40 i=ib,ie - if( i.eq.ibeg .and. buff(i).eq.':' )then -c -c move the 1st position pointer to the next char & -c do not put ":" char in buff(j) array where j=1 -c - ibeg = ibeg+1 - goto 40 - endif - j = j+1 - buff(j) = buff(i) - 40 continue -c -c - lgh = iend-ibeg+1 - j = lgh+1 - buff(j) = '$' -c -c clean-up the rest of the buff() array -c - do 50 i=j+1,50 - buff(i) = ' ' - 50 continue -c -c save a maximum of 20 characters -c - if( lgh.gt.20 )then - lgh = 20 - j = lgh+1 - buff(j) = '$' - endif -c - return - end diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/ngsforward.for b/libs/GeographicLib-1.50.1/legacy/Fortran/ngsforward.for deleted file mode 100644 index fafd3b949516d38915e67648d526deb334f44088..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/ngsforward.for +++ /dev/null @@ -1,490 +0,0 @@ -cb::forward -c - program forward -c -c********1*********2*********3*********4*********5*********6*********7** -c -c name: forward -c version: 201211.29 -c author: stephen j. frakes -c last mod: Charles Karney -c purpose: to compute a geodetic forward (direct problem) -c and then display output information -c -c input parameters: -c ----------------- -c -c output parameters: -c ------------------ -c -c local variables and constants: -c ------------------------------ -c answer user prompt response -c arc meridional arc distance latitude p1 to p2 (meters) -c b semiminor axis polar (in meters) -c baz azimuth back (in radians) -c blimit geodetic distance allowed on ellipsoid (in meters) -c buff input char buffer array -c dd,dm,ds temporary values for degrees, minutes, seconds -c dmt,d_mt char constants for units (in meters) -c dd_max maximum ellipsoid distance -1 (in meters) -c edist ellipsoid distance (in meters) -c elips ellipsoid choice -c esq eccentricity squared for reference ellipsoid -c faz azimuth forward (in radians) -c filout output file name -c finv reciprocal flattening -c hem hemisphere flag for lat & lon entry -c ierror error condition flag with d,m,s conversion -c lgh length of buff() array -c option user prompt response -c r1,r2 temporary variables -c ss temporary value for ellipsoid distance -c tol tolerance for conversion of seconds -c -c name1 name of station one -c ld1,lm1,sl1 latitude sta one - degrees,minutes,seconds -c ald1,alm1,sl1 latitude sta one - degrees,minutes,seconds -c lat1sn latitude sta one - sign (+/- 1) -c d_ns1 latitude sta one - char ('N','S') -c lod1,lom1,slo1 longitude sta one - degrees,minutes,seconds -c alod1,alom1,slo1 longitude sta one - degrees,minutes,seconds -c lon1sn longitude sta one - sign (+/- 1) -c d_ew1 longitude sta one - char ('E','W') -c iaz1,maz1,saz1 forward azimuth - degrees,minutes,seconds -c isign1 forward azimuth - flag (+/- 1) -c azd1,azm1,saz1 forward azimuth - degrees,minutes,seconds -c iazsn forward azimuth - flag (+/- 1) -c glat1,glon1 station one - (lat & lon in radians ) -c -c name2 name of station two -c ld2,lm2,sl2 latitude sta two - degrees,minutes,seconds -c lat2sn latitude sta two - sign (+/- 1) -c d_ns2 latitude sta two - char ('N','S') -c lod2,lom2,slo2 longitude sta two - degrees,minutes,seconds -c lon2sn longitude sta two - sign (+/- 1) -c d_ew2 longitude sta two - char ('E','W') -c iaz2,maz2,saz2 back azimuth - degrees,minutes,seconds -c isign2 back azimuth - flag (+/- 1) -c glat2,glon2 station two - (lat & lon in radians ) -c -c global variables and constants: -c ------------------------------- -c a semimajor axis equatorial (in meters) -c f flattening -c pi constant 3.14159.... -c rad constant 180.0/pi -c -c this module called by: n/a -c -c this module calls: elipss, getdeg, dirct1, todmsp -c gethem, trim, bufdms, gvalr8, gvali4, fixdms -c datan, write, read, dabs, open, stop -c -c include files used: n/a -c -c common blocks used: const, elipsoid -c -c references: see comments within subroutines -c -c comments: -c -c********1*********2*********3*********4*********5*********6*********7** -c::modification history -c::1990mm.dd, sjf, creation of program -c::199412.15, bmt, creation of program on viper -c::200203.08, crs, modified by c.schwarz to correct spelling of Clarke -c:: at request of Dave Doyle -c::200207.18, rws, modified i/o & standardized program documentation -c:: added subs trim, bufdms, gethem, gvali4, gvalr8 -c::200207.23, rws, added sub gpnarc -c::200208.15, rws, fixed an error in bufdms -c:: - renamed ellips to elipss "common error" with dirct2 -c:: - added FAZ & BAZ to printed output -c::200208.19, rws, added more error flags for web interface -c:: - added logical nowebb -c::200208.xx, sjf, program version number 2.0 -c::201211.29, cffk, program version number 3.1 -c:: - drop in replacement routines from -c:: "Algorithms for Geodesics" -c********1*********2*********3*********4*********5*********6*********7** -ce::forward -c - implicit double precision (a-h, o-z) - implicit integer (i-n) -c - logical nowebb -c - character*1 answer,option,dmt,buff(50),hem - character*6 d_ns1, d_ew1, d_ns2, d_ew2, d_mt - character*30 filout,name1,name2,elips -c - integer*4 ierror - integer*4 lgh -c - common/const/pi,rad - common/elipsoid/a,f -c -c ms_unix 0 = web version -c 1 = ms_dos or unix -c - parameter ( ms_unix = 0 ) -c - pi=4.d0*datan(1.d0) - rad=180.d0/pi - dmt='m' - d_mt='Meters' -c - if( ms_unix.eq.1 )then - nowebb = .true. - else - nowebb = .false. - endif -c - 1 do 2 i=1,25 - write(*,*) ' ' - 2 continue - - 5 write(*,*) ' Program Forward - Version 3.1 ' - write(*,*) ' ' - write(*,*) ' Ellipsoid options : ' - write(*,*) ' ' - write(*,*) ' 1) GRS80 / WGS84 (NAD83) ' - write(*,*) ' 2) Clarke 1866 (NAD27) ' - write(*,*) ' 3) Any other ellipsoid ' - write(*,*) ' ' - write(*,*) ' Enter choice : ' - read(*,10) option - 10 format(a1) -c - if(option.eq.'1') then - a=6378137.d0 - f=1.d0/298.25722210088d0 - elips='GRS80 / WGS84 (NAD83)' - elseif(option.eq.'2') then - a=6378206.4d0 - f=1.d0/294.9786982138d0 - elips='Clarke 1866 (NAD27)' - elseif(option.eq.'3') then - call elipss (elips) - else - write(*,*) ' Enter 1, 2, or 3 ! Try again --' - goto 5 - endif -c - esq = f*(2.0d0-f) -c -c compute the geodetic limit distance (blimit), it is equal -c to twice the equatorial circumference minus one meter -c - blimit = 2*pi*a-1.0d0 -c -c maximum distance allowed on ellipsoid -c - dd_max = blimit -c - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' -c - 15 write(*,*) ' Enter First Station ' - write(*,16) - 16 format(18x,'(Separate D,M,S by blanks or commas)') - write(*,*) 'hDD MM SS.sssss Latitude : (h default = N )' -c - 11 format(50a1) -c - 22 hem='N' - read(*,11) buff - call trim (buff,lgh,hem) - call bufdms (buff,lgh,hem,dd,dm,ds,ierror) -c - if( ierror.eq.0 )then - irlat1 = 0 - else - irlat1 = 1 - write(*,*) ' Invalid Latitude ... Please re-enter it ' - write(*,*) ' ' - if( nowebb )then - goto 22 - endif - endif -c - ald1 = dd - alm1 = dm - sl1 = ds -c - if( hem.eq.'N' ) then - lat1sn = +1 - else - lat1sn = -1 - endif -c - write(*,*) 'hDDD MM SS.sssss Longitude : (h default = W )' -c - 23 hem='W' - read(*,11) buff - call trim (buff,lgh,hem) - call bufdms (buff,lgh,hem,dd,dm,ds,ierror) -c - if( ierror.eq.0 )then - irlon1 = 0 - else - irlon1 = 1 - write(*,*) ' Invalid Longitude ... Please re-enter it ' - write(*,*) ' ' - if( nowebb )then - goto 23 - endif - endif -c - alod1 = dd - alom1 = dm - slo1 = ds -c - if( hem.eq.'E' ) then - lon1sn = +1 - else - lon1sn = -1 - endif -c - call getdeg(ald1, alm1, sl1, lat1sn, glat1) - call getdeg(alod1,alom1,slo1,lon1sn, glon1) -c - 20 write(*,*) 'DDD MM SS.sss Forward Azimuth : (from north)' -c - 24 hem='A' - read(*,11) buff - call trim (buff,lgh,hem) - call bufdms (buff,lgh,hem,dd,dm,ds,ierror) -c - if( ierror.eq.0 )then - iazsn = 1 - irazi1 = 0 - else - irazi1 = 1 - write(*,*) ' Invalid Azimuth ... Please re-enter it ' - write(*,*) ' ' - if( nowebb )then - goto 24 - endif - endif -c - azd1 = dd - azm1 = dm - saz1 = ds -c - call getdeg(azd1,azm1,saz1,iazsn,faz) -c - write(*,*) 'DDDDDD.dddd Ellipsoidal Distance : (in meters)' -c - 25 ss = 0.0d0 - read(*,*) ss - ss = dabs(ss) -c - if( ss.lt.dd_max )then - edist = ss - irdst1 = 0 - else - irdst1 = 1 - write(*,*) ' Invalid Distance ... Please re-enter it ' - write(*,*) ' ' - if( nowebb )then - goto 25 - endif - edist = 0.001d0 - endif -c - call direct (a, f, glat1, glon1, faz, edist, 0, - + glat2, glon2, baz, 0, dummy, dummy, dummy, dummy, dummy) - if (baz .ge. 0) then - baz = baz - 180 - else - baz = baz + 180 - end if -c -c set the azimuth seconds tolerance -c - tol = 0.00005d0 -c - call todmsp(faz,iaz1,maz1,saz1,isign1) - if(isign1.lt.0) then - iaz1=359-iaz1 - maz1=59-maz1 - saz1=60.d0-saz1 - endif - call fixdms ( iaz1, maz1, saz1, tol ) -c - call todmsp(baz,iaz2,maz2,saz2,isign2) - if(isign2.lt.0) then - iaz2=359-iaz2 - maz2=59-maz2 - saz2=60.d0-saz2 - endif - call fixdms ( iaz2, maz2, saz2, tol ) -c - call todmsp(glat1, ld1, lm1, sl1, lat1sn) - call todmsp(glon1, lod1, lom1, slo1, lon1sn) - call todmsp(glat2, ld2, lm2, sl2, lat2sn) - call todmsp(glon2, lod2, lom2, slo2, lon2sn) -c - call hem_ns ( lat1sn, d_ns1 ) - call hem_ew ( lon1sn, d_ew1 ) - call hem_ns ( lat2sn, d_ns2 ) - call hem_ew ( lon2sn, d_ew2 ) -c - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,49) elips - 49 format(' Ellipsoid : ',a30) - finv=1.d0/f - b=a*(1.d0-f) - write(*,50) a,b,finv - 50 format(' Equatorial axis, a = ',f15.4,/, - * ' Polar axis, b = ',f15.4,/, - * ' Inverse flattening, 1/f = ',f16.11) -c - 18 format(' LAT = ',i3,1x,i2,1x,f8.5,1x,a6) - 19 format(' LON = ',i3,1x,i2,1x,f8.5,1x,a6) -c - write(*,*) ' ' - write(*,*) ' First Station : ' - write(*,*) ' ---------------- ' - write(*,18) ld1, lm1, sl1, d_ns1 - write(*,19) lod1,lom1,slo1,d_ew1 -c - write(*,*) ' ' - write(*,*) ' Second Station : ' - write(*,*) ' ---------------- ' - write(*,18) ld2, lm2, sl2, d_ns2 - write(*,19) lod2,lom2,slo2,d_ew2 -c -c - 32 format(' Ellipsoidal distance S = ',f14.4,1x,a1) - 34 format(' Forward azimuth FAZ = ',i3,1x,i2,1x,f7.4, - 1 ' From North') - 35 format(' Back azimuth BAZ = ',i3,1x,i2,1x,f7.4, - 1 ' From North') -c - write(*,*) ' ' - write(*,34) iaz1,maz1,saz1 - write(*,35) iaz2,maz2,saz2 - write(*,32) edist,dmt - write(*,*) ' ' - write(*,*) ' Do you want to save this output into a file (y/n)?' - read(*,10) answer -c - if( answer.eq.'Y'.or.answer.eq.'y' )then - 39 write(*,*) ' Enter the output filename : ' - read(*,40) filout - 40 format(a30) - open(3,file=filout,status='new',err=99) - goto 98 -c - 99 write(*,*) ' File already exists, try again.' - go to 39 -c - 98 continue - write(3,*) ' ' - write(3,49) elips - write(3,50) a,b,finv - write(*,*) ' Enter the First Station name : ' - read(*,40) name1 - write(*,*) ' Enter the Second Station name : ' - read(*,40) name2 -c - 41 format(' First Station : ',a30) - 42 format(' Second Station : ',a30) - 84 format(' Error: First Station ... Invalid Latitude ') - 85 format(' Error: First Station ... Invalid Longitude ') - 86 format(' Error: Forward Azimuth .. Invalid Entry ') - 87 format(' Error: Ellipsoid Distance .. Invalid Entry ') - 88 format(1x,65(1h*)) - 91 format(' DD(0-89) MM(0-59) SS(0-59.999...) ') - 92 format(' DDD(0-359) MM(0-59) SS(0-59.999...) ') - 93 format(' Geodetic distance is too long ') -c - write(3,*) ' ' - write(3,41) name1 - write(3,*) ' ---------------- ' -c - if( irlat1.eq.0 )then - write(3,18) ld1, lm1, sl1, d_ns1 - else - write(3,88) - write(3,84) - write(3,91) - write(3,88) - endif -c - if( irlon1.eq.0 )then - write(3,19) lod1,lom1,slo1,d_ew1 - else - write(3,88) - write(3,85) - write(3,92) - write(3,88) - endif -c - write(3,*) ' ' - write(3,42) name2 - write(3,*) ' ---------------- ' - write(3,18) ld2, lm2, sl2, d_ns2 - write(3,19) lod2,lom2,slo2,d_ew2 -c - write(3,*) ' ' - if( irazi1.eq.0 )then - write(3,34) iaz1,maz1,saz1 - else - write(3,88) - write(3,86) - write(3,92) - write(3,88) - endif -c - write(3,35) iaz2,maz2,saz2 -c - if( irdst1.eq.0 )then - write(3,32) edist,dmt - else - write(3,88) - write(3,87) - write(3,93) - write(3,88) - endif -c - write(3,*) ' ' - endif -c - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' 1) Another forward, different ellipsoid.' - write(*,*) ' 2) Same ellipsoid, two new stations.' - write(*,*) ' 3) Same ellipsoid, same First Station.' - write(*,*) ' 4) Let the Second Station be the First Station.' - write(*,*) ' 5) Done.' - write(*,*) ' ' - write(*,*) ' Enter choice : ' - read(*,10) answer -c - if( answer.eq.'1')then - goto 1 - elseif(answer.eq.'2')then - goto 15 - elseif(answer.eq.'3')then - goto 20 - elseif(answer.eq.'4')then - glat1 = glat2 - glon1 = glon2 - goto 20 - else - write(*,*) ' Thats all, folks!' - endif -c -c stop - end diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/ngsinverse.for b/libs/GeographicLib-1.50.1/legacy/Fortran/ngsinverse.for deleted file mode 100644 index edfdc0d82c74e04e8be15bba0efc107e1e5b0870..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/ngsinverse.for +++ /dev/null @@ -1,513 +0,0 @@ -cb::inverse -c - program inverse -c -c********1*********2*********3*********4*********5*********6*********7** -c -c name: inverse -c version: 201211.29 -c author: stephen j. frakes -c last mod: Charles Karney -c purpose: to compute a geodetic inverse -c and then display output information -c -c input parameters: -c ----------------- -c -c output parameters: -c ------------------ -c -c local variables and constants: -c ------------------------------ -c answer user prompt response -c b semiminor axis polar (in meters) -c baz azimuth back (in radians) -c buff input char buffer array -c dd,dm,ds temporary values for degrees, minutes, seconds -c dlon temporary value for difference in longitude (radians) -c dmt,d_mt char constants for meter units -c edist ellipsoid distance (in meters) -c elips ellipsoid choice -c esq eccentricity squared for reference ellipsoid -c faz azimuth forward (in radians) -c filout output file name -c finv reciprocal flattening -c hem hemisphere flag for lat & lon entry -c ierror error condition flag with d,m,s conversion -c lgh length of buff() array -c option user prompt response -c r1,r2 temporary variables -c ss temporary variable -c tol tolerance for conversion of seconds -c -c name1 name of station one -c ld1,lm1,sl1 latitude sta one - degrees,minutes,seconds -c ald1,alm1,sl1 latitude sta one - degrees,minutes,seconds -c lat1sn latitude sta one - sign (+/- 1) -c d_ns1 latitude sta one - char ('N','S') -c lod1,lom1,slo1 longitude sta one - degrees,minutes,seconds -c alod1,alom1,slo1 longitude sta one - degrees,minutes,seconds -c lon1sn longitude sta one - sign (+/- 1) -c d_ew1 longitude sta one - char ('E','W') -c iaz1,maz1,saz1 forward azimuth - degrees,minutes,seconds -c isign1 forward azimuth - flag (+/- 1) -c glat1,glon1 station one - (lat & lon in radians ) -c p1,e1 standpoint one - (lat & lon in radians ) -c -c name2 name of station two -c ld2,lm2,sl2 latitude sta two - degrees,minutes,seconds -c ald2,alm2,sl2 latitude sta two - degrees,minutes,seconds -c lat2sn latitude sta two - sign (+/- 1) -c d_ns2 latitude sta two - char ('N','S') -c lod2,lom2,slo2 longitude sta two - degrees,minutes,seconds -c alod2,alom2,slo2 longitude sta one - degrees,minutes,seconds -c lon2sn longitude sta two - sign (+/- 1) -c d_ew2 longitude sta two - char ('E','W') -c iaz2,maz2,saz2 back azimuth - degrees,minutes,seconds -c isign2 back azimuth - flag (+/- 1) -c glat2,glon2 station two - (lat & lon in radians ) -c p2,e2 forepoint two - (lat & lon in radians ) -c -c global variables and constants: -c ------------------------------- -c a semimajor axis equatorial (in meters) -c f flattening -c pi constant 3.14159.... -c rad constant 180.0/pi -c -c this module called by: n/a -c -c this module calls: elipss, getdeg, inver1, todmsp -c gethem, trim, bufdms, gvalr8, gvali4, fixdms, gpnhri *********** -c gethem, trim, bufdms, gvalr8, gvali4, fixdms, invers <---------- -c datan, write, read, dabs, open, stop -c -c include files used: n/a -c -c common blocks used: const, elipsoid -c -c references: see comments within subroutines -c -c comments: -c -c********1*********2*********3*********4*********5*********6*********7** -c::modification history -c::1990mm.dd, sjf, creation of program -c::199412.15, bmt, creation of program on viper -c::200203.08, crs, modified by c.schwarz to correct spelling of Clarke -c::200207.15, rws, modified i/o & standardized program documentation -c:: added subs trim, bufdms, gethem, gvali4, gvalr8 -c::200207.23, rws, replaced sub inver1 with gpnarc, gpnloa, gpnhri -c::200208.15, rws, fixed an error in bufdms -c:: - renamed ellips to elipss "common error" with dirct2 -c:: - added FAZ & BAZ to printed output -c::200208.19, rws, added more error flags for web interface code -c:: - added logical nowebb -c::200208.xx, sjf, program version number 2.0 -c::201105.xx, dgm, program version number 3.0 -c:: - replaced sub gpnarc, gpnloa, gpnhri with invers -c:: - tested for valid antipodal solutions (+/- 0.1 mm) -c:: - tested for polar solutions (+/- 0.1 mm) -c:: - needs improvement for long-line/antipodal boundary -c::201211.29, cffk, program version numer 3.1 -c:: - drop in replacement routines from -c:: "Algorithms for Geodesics" -c********1*********2*********3*********4*********5*********6*********7** -ce::inverse -c - implicit double precision (a-h, o-z) - implicit integer (i-n) -c - logical nowebb -c - character*1 answer,option,dmt,buff(50),hem - character*6 d_ns1, d_ew1, d_ns2, d_ew2, d_mt - character*30 filout,name1,name2,elips -c - integer*4 ierror - integer*4 lgh -c - common/const/pi,rad - common/elipsoid/a,f -c -c ms_unix 0 = web version -c 1 = ms_dos or unix version -c - parameter ( ms_unix = 0 ) -c - pi = 4.d0*datan(1.d0) - rad = 180.d0/pi - dmt = 'm' - d_mt = 'Meters' -c - if( ms_unix.eq.1 )then - nowebb = .true. - else - nowebb = .false. - endif -c - 1 do 2 i=1,25 - write(*,*) ' ' - 2 continue -c - 5 write(*,*) ' Program Inverse - Version 3.1 ' - write(*,*) ' ' - write(*,*) ' Ellipsoid options : ' - write(*,*) ' ' - write(*,*) ' 1) GRS80 / WGS84 (NAD83) ' - write(*,*) ' 2) Clarke 1866 (NAD27) ' - write(*,*) ' 3) Any other ellipsoid ' - write(*,*) ' ' - write(*,*) ' Enter choice : ' - read(*,10) option - 10 format(a1) -c - if(option.eq.'1') then - a=6378137.d0 - f=1.d0/298.257222100882711243162836600094d0 - elips='GRS80 / WGS84 (NAD83)' - elseif(option.eq.'2') then - a=6378206.4d0 - f=1.d0/294.9786982138d0 - elips='Clarke 1866 (NAD27)' - elseif(option.eq.'3') then - call elipss (elips) - else - write(*,*) ' Enter 1, 2, or 3 ! Try again --' - goto 5 - endif -c - esq = f*(2.0d0-f) -c - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' -c - 15 write(*,*) ' Enter First Station ' - write(*,16) - 16 format(18x,'(Separate D,M,S by blanks or commas)') - write(*,*) 'hDD MM SS.sssss Latitude : (h default = N )' - 11 format(50a1) -c - 22 hem='N' - read(*,11) buff - call trim (buff,lgh,hem) - call bufdms (buff,lgh,hem,dd,dm,ds,ierror) -c - if( ierror.eq.0 )then - irlat1 = 0 - else - irlat1 = 1 - write(*,*) ' Invalid Latitude ... Please re-enter it ' - write(*,*) ' ' - if( nowebb )then - goto 22 - endif - endif -c - ald1 = dd - alm1 = dm - sl1 = ds -c - if( hem.eq.'N' ) then - lat1sn = +1 - else - lat1sn = -1 - endif -c - write(*,*) 'hDDD MM SS.sssss Longitude : (h default = W )' -c - 23 hem='W' - read(*,11) buff - call trim (buff,lgh,hem) - call bufdms (buff,lgh,hem,dd,dm,ds,ierror) -c - if( ierror.eq.0 )then - irlon1 = 0 - else - irlon1 = 1 - write(*,*) ' Invalid Longitude ... Please re-enter it ' - write(*,*) ' ' - if( nowebb )then - goto 23 - endif - endif -c - alod1 = dd - alom1 = dm - slo1 = ds -c - if( hem.eq.'E' ) then - lon1sn = +1 - else - lon1sn = -1 - endif -c - call getdeg(ald1, alm1, sl1, lat1sn, glat1) - call getdeg(alod1,alom1,slo1,lon1sn, glon1) -c - write(*,*) ' ' - write(*,*) ' ' -c - 20 write(*,*) ' Enter Second Station ' - write(*,16) - write(*,*) 'hDD MM SS.sssss Latitude : (h default = N )' -c - 24 hem='N' - read(*,11) buff - call trim (buff,lgh,hem) - call bufdms (buff,lgh,hem,dd,dm,ds,ierror) -c - if( ierror.eq.0 )then - irlat2 = 0 - else - irlat2 = 1 - write(*,*) ' Invalid Latitude ... Please re-enter it ' - write(*,*) ' ' - if( nowebb )then - goto 24 - endif - endif -c - ald2 = dd - alm2 = dm - sl2 = ds -c - if( hem.eq.'N' ) then - lat2sn = +1 - else - lat2sn = -1 - endif -c - write(*,*) 'hDDD MM SS.sssss Longitude : (h default = W )' -c - 25 hem='W' - read(*,11) buff - call trim (buff,lgh,hem) - call bufdms (buff,lgh,hem,dd,dm,ds,ierror) -c - if( ierror.eq.0 )then - irlon2 = 0 - else - irlon2 = 1 - write(*,*) ' Invalid Longitude ... Please re-enter it ' - write(*,*) ' ' - if( nowebb )then - goto 25 - endif - endif -c - alod2 = dd - alom2 = dm - slo2 = ds -c - if( hem.eq.'E' )then - lon2sn = +1 - else - lon2sn = -1 - endif -c - call getdeg(ald2, alm2, sl2, lat2sn, glat2) - call getdeg(alod2,alom2,slo2,lon2sn, glon2) -c - p1 = glat1 - e1 = glon1 - p2 = glat2 - e2 = glon2 -c - if( e1.lt.0.0d0 )then - e1 = e1+2.0d0*pi - endif - if( e2.lt.0.0d0 )then - e2 = e2+2.0d0*pi - endif -c -c compute the geodetic inverse -c - call invers(a, f, p1, e1, p2, e2, - + edist, faz, baz, 0, dummy, dummy, dummy, dummy, dummy) - if (baz .ge. 0) then - baz = baz - 180 - else - baz = baz + 180 - end if -c -c set the tolerance (in seconds) for the azimuth conversion -c - tol = 0.00005d0 -c - call todmsp(faz,iaz1,maz1,saz1,isign1) - if(isign1.lt.0) then - iaz1=359-iaz1 - maz1=59-maz1 - saz1=60.d0-saz1 - endif - call fixdms ( iaz1, maz1, saz1, tol ) -c - call todmsp(baz,iaz2,maz2,saz2,isign2) - if(isign2.lt.0) then - iaz2=359-iaz2 - maz2=59-maz2 - saz2=60.d0-saz2 - endif - call fixdms ( iaz2, maz2, saz2, tol ) -c - call todmsp(glat1, ld1, lm1, sl1, lat1sn) - call todmsp(glon1, lod1, lom1, slo1, lon1sn) - call todmsp(glat2, ld2, lm2, sl2, lat2sn) - call todmsp(glon2, lod2, lom2, slo2, lon2sn) -c - call hem_ns ( lat1sn, d_ns1 ) - call hem_ew ( lon1sn, d_ew1 ) - call hem_ns ( lat2sn, d_ns2 ) - call hem_ew ( lon2sn, d_ew2 ) -c - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,49) elips - 49 format(' Ellipsoid : ',a30) - finv=1.d0/f - b=a*(1.d0-f) - write(*,50) a,b,finv - 50 format(' Equatorial axis, a = ',f15.4,/, - * ' Polar axis, b = ',f15.4,/, - * ' Inverse flattening, 1/f = ',f16.11) -c - 18 format(' LAT = ',i3,1x,i2,1x,f8.5,1x,a6) - 19 format(' LON = ',i3,1x,i2,1x,f8.5,1x,a6) -c - write(*,*) ' ' - write(*,*) ' First Station : ' - write(*,*) ' ---------------- ' - write(*,18) ld1, lm1, sl1, d_ns1 - write(*,19) lod1,lom1,slo1,d_ew1 -c - write(*,*) ' ' - write(*,*) ' Second Station : ' - write(*,*) ' ---------------- ' - write(*,18) ld2, lm2, sl2, d_ns2 - write(*,19) lod2,lom2,slo2,d_ew2 -c - 32 format(' Ellipsoidal distance S = ',f14.4,1x,a1) - 34 format(' Forward azimuth FAZ = ',i3,1x,i2,1x,f7.4, - 1 ' From North') - 35 format(' Back azimuth BAZ = ',i3,1x,i2,1x,f7.4, - 1 ' From North') -c - write(*,*) ' ' - write(*,34) iaz1,maz1,saz1 - write(*,35) iaz2,maz2,saz2 - write(*,32) edist,dmt - write(*,*) ' ' - write(*,*) ' Do you want to save this output into a file (y/n)?' - read(*,10) answer -c - if( answer.eq.'Y'.or.answer.eq.'y' )then - 39 write(*,*) ' Enter the output filename : ' - read(*,40) filout - 40 format(a30) - open(3,file=filout,status='new',err=99) - goto 98 -c - 99 write(*,*) ' File already exists, try again.' - go to 39 -c - 98 continue - write(3,*) ' ' - write(3,49) elips - finv=1.d0/f - b=a*(1.d0-f) - write(3,50) a,b,finv - write(*,*) ' Enter the First Station name : ' - read(*,40) name1 - write(*,*) ' Enter the Second Station name : ' - read(*,40) name2 -c - 41 format(' First Station : ',a30) - 42 format(' Second Station : ',a30) - 84 format(' Error: First Station ... Invalid Latitude ') - 85 format(' Error: First Station ... Invalid Longitude ') - 86 format(' Error: Second Station ... Invalid Latitude ') - 87 format(' Error: Second Station ... Invalid Longitude ') - 88 format(1x,65(1h*)) - 91 format(' DD(0-89) MM(0-59) SS(0-59.999...) ') - 92 format(' DDD(0-359) MM(0-59) SS(0-59.999...) ') -c - write(3,*) ' ' - write(3,41) name1 - write(3,*) ' ---------------- ' - - if( irlat1.eq.0 )then - write(3,18) ld1, lm1, sl1, d_ns1 - else - write(3,88) - write(3,84) - write(3,91) - write(3,88) - endif -c - if( irlon1.eq.0 )then - write(3,19) lod1,lom1,slo1,d_ew1 - else - write(3,88) - write(3,85) - write(3,92) - write(3,88) - endif -c - write(3,*) ' ' - write(3,42) name2 - write(3,*) ' ---------------- ' -c - if( irlat2.eq.0 )then - write(3,18) ld2, lm2, sl2, d_ns2 - else - write(3,88) - write(3,86) - write(3,91) - write(3,88) - endif -c - if( irlon2.eq.0 )then - write(3,19) lod2,lom2,slo2,d_ew2 - else - write(3,88) - write(3,87) - write(3,92) - write(3,88) - endif -c - write(3,*) ' ' - write(3,34) iaz1,maz1,saz1 - write(3,35) iaz2,maz2,saz2 - write(3,32) edist,dmt - write(3,*) ' ' - endif -c - 80 write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' ' - write(*,*) ' 1) Another inverse, different ellipsoid.' - write(*,*) ' 2) Same ellipsoid, two new stations.' - write(*,*) ' 3) Same ellipsoid, same First Station.' - write(*,*) ' 4) Done.' - write(*,*) ' ' - write(*,*) ' Enter choice : ' - read(*,10) answer -c - if( answer.eq.'1' )then - goto 1 - elseif( answer.eq.'2' )then - goto 15 - elseif( answer.eq.'3' )then - goto 20 - else - write(*,*) ' Thats all, folks!' - endif - -c stop - end diff --git a/libs/GeographicLib-1.50.1/legacy/Fortran/planimeter.for b/libs/GeographicLib-1.50.1/legacy/Fortran/planimeter.for deleted file mode 100644 index 8f71e6d55f0142bba2cbc4fdc66c7e910f10f94e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/legacy/Fortran/planimeter.for +++ /dev/null @@ -1,36 +0,0 @@ -*> @file planimeter.for -*! @brief A test program for area() - -*> A simple program to compute the area of a geodesic polygon. -*! -*! This program reads in up to 100000 lines with lat, lon for each vertex -*! of a polygon. At the end of input, the program prints the number of -*! vertices, the perimeter of the polygon and its area (for the WGS84 -*! ellipsoid). - - program planimeter - implicit none - - include 'geodesic.inc' - - integer maxpts - parameter (maxpts = 100000) - double precision a, f, lats(maxpts), lons(maxpts), S, P - integer n - -* WGS84 values - a = 6378137d0 - f = 1/298.257223563d0 - - n = 0 - 10 continue - if (n .ge. maxpts) go to 20 - read(*, *, end=20, err=20) lats(n+1), lons(n+1) - n = n+1 - go to 10 - 20 continue - call area(a, f, lats, lons, n, S, P) - print 30, n, P, S - 30 format(i6, 1x, f20.8, 1x, f20.3) - stop - end diff --git a/libs/GeographicLib-1.50.1/ltmain.sh b/libs/GeographicLib-1.50.1/ltmain.sh deleted file mode 100644 index 7f3523d335c55eb0716d11eca34426a237c08027..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/ltmain.sh +++ /dev/null @@ -1,11149 +0,0 @@ -#! /bin/sh -## DO NOT EDIT - This file generated from ./build-aux/ltmain.in -## by inline-source v2014-01-03.01 - -# libtool (GNU libtool) 2.4.6 -# Provide generalized library-building support services. -# Written by Gordon Matzigkeit , 1996 - -# Copyright (C) 1996-2015 Free Software Foundation, Inc. -# This is free software; see the source for copying conditions. There is NO -# warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. - -# GNU Libtool is free software; you can redistribute it and/or modify -# it under the terms of the GNU General Public License as published by -# the Free Software Foundation; either version 2 of the License, or -# (at your option) any later version. -# -# As a special exception to the GNU General Public License, -# if you distribute this file as part of a program or library that -# is built using GNU Libtool, you may include this file under the -# same distribution terms that you use for the rest of that program. -# -# GNU Libtool is distributed in the hope that it will be useful, but -# WITHOUT ANY WARRANTY; without even the implied warranty of -# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU -# General Public License for more details. -# -# You should have received a copy of the GNU General Public License -# along with this program. If not, see . - - -PROGRAM=libtool -PACKAGE=libtool -VERSION=2.4.6 -package_revision=2.4.6 - - -## ------ ## -## Usage. ## -## ------ ## - -# Run './libtool --help' for help with using this script from the -# command line. - - -## ------------------------------- ## -## User overridable command paths. ## -## ------------------------------- ## - -# After configure completes, it has a better idea of some of the -# shell tools we need than the defaults used by the functions shared -# with bootstrap, so set those here where they can still be over- -# ridden by the user, but otherwise take precedence. - -: ${AUTOCONF="autoconf"} -: ${AUTOMAKE="automake"} - - -## -------------------------- ## -## Source external libraries. ## -## -------------------------- ## - -# Much of our low-level functionality needs to be sourced from external -# libraries, which are installed to $pkgauxdir. - -# Set a version string for this script. -scriptversion=2015-01-20.17; # UTC - -# General shell script boiler plate, and helper functions. -# Written by Gary V. Vaughan, 2004 - -# Copyright (C) 2004-2015 Free Software Foundation, Inc. -# This is free software; see the source for copying conditions. There is NO -# warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. - -# This program is free software; you can redistribute it and/or modify -# it under the terms of the GNU General Public License as published by -# the Free Software Foundation; either version 3 of the License, or -# (at your option) any later version. - -# As a special exception to the GNU General Public License, if you distribute -# this file as part of a program or library that is built using GNU Libtool, -# you may include this file under the same distribution terms that you use -# for the rest of that program. - -# This program is distributed in the hope that it will be useful, -# but WITHOUT ANY WARRANTY; without even the implied warranty of -# MERCHANTABILITY or FITNES FOR A PARTICULAR PURPOSE. See the GNU -# General Public License for more details. - -# You should have received a copy of the GNU General Public License -# along with this program. If not, see . - -# Please report bugs or propose patches to gary@gnu.org. - - -## ------ ## -## Usage. ## -## ------ ## - -# Evaluate this file near the top of your script to gain access to -# the functions and variables defined here: -# -# . `echo "$0" | ${SED-sed} 's|[^/]*$||'`/build-aux/funclib.sh -# -# If you need to override any of the default environment variable -# settings, do that before evaluating this file. - - -## -------------------- ## -## Shell normalisation. ## -## -------------------- ## - -# Some shells need a little help to be as Bourne compatible as possible. -# Before doing anything else, make sure all that help has been provided! - -DUALCASE=1; export DUALCASE # for MKS sh -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : - emulate sh - NULLCMD=: - # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which - # is contrary to our usage. Disable this feature. - alias -g '${1+"$@"}'='"$@"' - setopt NO_GLOB_SUBST -else - case `(set -o) 2>/dev/null` in *posix*) set -o posix ;; esac -fi - -# NLS nuisances: We save the old values in case they are required later. -_G_user_locale= -_G_safe_locale= -for _G_var in LANG LANGUAGE LC_ALL LC_CTYPE LC_COLLATE LC_MESSAGES -do - eval "if test set = \"\${$_G_var+set}\"; then - save_$_G_var=\$$_G_var - $_G_var=C - export $_G_var - _G_user_locale=\"$_G_var=\\\$save_\$_G_var; \$_G_user_locale\" - _G_safe_locale=\"$_G_var=C; \$_G_safe_locale\" - fi" -done - -# CDPATH. -(unset CDPATH) >/dev/null 2>&1 && unset CDPATH - -# Make sure IFS has a sensible default -sp=' ' -nl=' -' -IFS="$sp $nl" - -# There are apparently some retarded systems that use ';' as a PATH separator! -if test "${PATH_SEPARATOR+set}" != set; then - PATH_SEPARATOR=: - (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { - (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || - PATH_SEPARATOR=';' - } -fi - - - -## ------------------------- ## -## Locate command utilities. ## -## ------------------------- ## - - -# func_executable_p FILE -# ---------------------- -# Check that FILE is an executable regular file. -func_executable_p () -{ - test -f "$1" && test -x "$1" -} - - -# func_path_progs PROGS_LIST CHECK_FUNC [PATH] -# -------------------------------------------- -# Search for either a program that responds to --version with output -# containing "GNU", or else returned by CHECK_FUNC otherwise, by -# trying all the directories in PATH with each of the elements of -# PROGS_LIST. -# -# CHECK_FUNC should accept the path to a candidate program, and -# set $func_check_prog_result if it truncates its output less than -# $_G_path_prog_max characters. -func_path_progs () -{ - _G_progs_list=$1 - _G_check_func=$2 - _G_PATH=${3-"$PATH"} - - _G_path_prog_max=0 - _G_path_prog_found=false - _G_save_IFS=$IFS; IFS=${PATH_SEPARATOR-:} - for _G_dir in $_G_PATH; do - IFS=$_G_save_IFS - test -z "$_G_dir" && _G_dir=. - for _G_prog_name in $_G_progs_list; do - for _exeext in '' .EXE; do - _G_path_prog=$_G_dir/$_G_prog_name$_exeext - func_executable_p "$_G_path_prog" || continue - case `"$_G_path_prog" --version 2>&1` in - *GNU*) func_path_progs_result=$_G_path_prog _G_path_prog_found=: ;; - *) $_G_check_func $_G_path_prog - func_path_progs_result=$func_check_prog_result - ;; - esac - $_G_path_prog_found && break 3 - done - done - done - IFS=$_G_save_IFS - test -z "$func_path_progs_result" && { - echo "no acceptable sed could be found in \$PATH" >&2 - exit 1 - } -} - - -# We want to be able to use the functions in this file before configure -# has figured out where the best binaries are kept, which means we have -# to search for them ourselves - except when the results are already set -# where we skip the searches. - -# Unless the user overrides by setting SED, search the path for either GNU -# sed, or the sed that truncates its output the least. -test -z "$SED" && { - _G_sed_script=s/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb/ - for _G_i in 1 2 3 4 5 6 7; do - _G_sed_script=$_G_sed_script$nl$_G_sed_script - done - echo "$_G_sed_script" 2>/dev/null | sed 99q >conftest.sed - _G_sed_script= - - func_check_prog_sed () - { - _G_path_prog=$1 - - _G_count=0 - printf 0123456789 >conftest.in - while : - do - cat conftest.in conftest.in >conftest.tmp - mv conftest.tmp conftest.in - cp conftest.in conftest.nl - echo '' >> conftest.nl - "$_G_path_prog" -f conftest.sed conftest.out 2>/dev/null || break - diff conftest.out conftest.nl >/dev/null 2>&1 || break - _G_count=`expr $_G_count + 1` - if test "$_G_count" -gt "$_G_path_prog_max"; then - # Best one so far, save it but keep looking for a better one - func_check_prog_result=$_G_path_prog - _G_path_prog_max=$_G_count - fi - # 10*(2^10) chars as input seems more than enough - test 10 -lt "$_G_count" && break - done - rm -f conftest.in conftest.tmp conftest.nl conftest.out - } - - func_path_progs "sed gsed" func_check_prog_sed $PATH:/usr/xpg4/bin - rm -f conftest.sed - SED=$func_path_progs_result -} - - -# Unless the user overrides by setting GREP, search the path for either GNU -# grep, or the grep that truncates its output the least. -test -z "$GREP" && { - func_check_prog_grep () - { - _G_path_prog=$1 - - _G_count=0 - _G_path_prog_max=0 - printf 0123456789 >conftest.in - while : - do - cat conftest.in conftest.in >conftest.tmp - mv conftest.tmp conftest.in - cp conftest.in conftest.nl - echo 'GREP' >> conftest.nl - "$_G_path_prog" -e 'GREP$' -e '-(cannot match)-' conftest.out 2>/dev/null || break - diff conftest.out conftest.nl >/dev/null 2>&1 || break - _G_count=`expr $_G_count + 1` - if test "$_G_count" -gt "$_G_path_prog_max"; then - # Best one so far, save it but keep looking for a better one - func_check_prog_result=$_G_path_prog - _G_path_prog_max=$_G_count - fi - # 10*(2^10) chars as input seems more than enough - test 10 -lt "$_G_count" && break - done - rm -f conftest.in conftest.tmp conftest.nl conftest.out - } - - func_path_progs "grep ggrep" func_check_prog_grep $PATH:/usr/xpg4/bin - GREP=$func_path_progs_result -} - - -## ------------------------------- ## -## User overridable command paths. ## -## ------------------------------- ## - -# All uppercase variable names are used for environment variables. These -# variables can be overridden by the user before calling a script that -# uses them if a suitable command of that name is not already available -# in the command search PATH. - -: ${CP="cp -f"} -: ${ECHO="printf %s\n"} -: ${EGREP="$GREP -E"} -: ${FGREP="$GREP -F"} -: ${LN_S="ln -s"} -: ${MAKE="make"} -: ${MKDIR="mkdir"} -: ${MV="mv -f"} -: ${RM="rm -f"} -: ${SHELL="${CONFIG_SHELL-/bin/sh}"} - - -## -------------------- ## -## Useful sed snippets. ## -## -------------------- ## - -sed_dirname='s|/[^/]*$||' -sed_basename='s|^.*/||' - -# Sed substitution that helps us do robust quoting. It backslashifies -# metacharacters that are still active within double-quoted strings. -sed_quote_subst='s|\([`"$\\]\)|\\\1|g' - -# Same as above, but do not quote variable references. -sed_double_quote_subst='s/\(["`\\]\)/\\\1/g' - -# Sed substitution that turns a string into a regex matching for the -# string literally. -sed_make_literal_regex='s|[].[^$\\*\/]|\\&|g' - -# Sed substitution that converts a w32 file name or path -# that contains forward slashes, into one that contains -# (escaped) backslashes. A very naive implementation. -sed_naive_backslashify='s|\\\\*|\\|g;s|/|\\|g;s|\\|\\\\|g' - -# Re-'\' parameter expansions in output of sed_double_quote_subst that -# were '\'-ed in input to the same. If an odd number of '\' preceded a -# '$' in input to sed_double_quote_subst, that '$' was protected from -# expansion. Since each input '\' is now two '\'s, look for any number -# of runs of four '\'s followed by two '\'s and then a '$'. '\' that '$'. -_G_bs='\\' -_G_bs2='\\\\' -_G_bs4='\\\\\\\\' -_G_dollar='\$' -sed_double_backslash="\ - s/$_G_bs4/&\\ -/g - s/^$_G_bs2$_G_dollar/$_G_bs&/ - s/\\([^$_G_bs]\\)$_G_bs2$_G_dollar/\\1$_G_bs2$_G_bs$_G_dollar/g - s/\n//g" - - -## ----------------- ## -## Global variables. ## -## ----------------- ## - -# Except for the global variables explicitly listed below, the following -# functions in the '^func_' namespace, and the '^require_' namespace -# variables initialised in the 'Resource management' section, sourcing -# this file will not pollute your global namespace with anything -# else. There's no portable way to scope variables in Bourne shell -# though, so actually running these functions will sometimes place -# results into a variable named after the function, and often use -# temporary variables in the '^_G_' namespace. If you are careful to -# avoid using those namespaces casually in your sourcing script, things -# should continue to work as you expect. And, of course, you can freely -# overwrite any of the functions or variables defined here before -# calling anything to customize them. - -EXIT_SUCCESS=0 -EXIT_FAILURE=1 -EXIT_MISMATCH=63 # $? = 63 is used to indicate version mismatch to missing. -EXIT_SKIP=77 # $? = 77 is used to indicate a skipped test to automake. - -# Allow overriding, eg assuming that you follow the convention of -# putting '$debug_cmd' at the start of all your functions, you can get -# bash to show function call trace with: -# -# debug_cmd='eval echo "${FUNCNAME[0]} $*" >&2' bash your-script-name -debug_cmd=${debug_cmd-":"} -exit_cmd=: - -# By convention, finish your script with: -# -# exit $exit_status -# -# so that you can set exit_status to non-zero if you want to indicate -# something went wrong during execution without actually bailing out at -# the point of failure. -exit_status=$EXIT_SUCCESS - -# Work around backward compatibility issue on IRIX 6.5. On IRIX 6.4+, sh -# is ksh but when the shell is invoked as "sh" and the current value of -# the _XPG environment variable is not equal to 1 (one), the special -# positional parameter $0, within a function call, is the name of the -# function. -progpath=$0 - -# The name of this program. -progname=`$ECHO "$progpath" |$SED "$sed_basename"` - -# Make sure we have an absolute progpath for reexecution: -case $progpath in - [\\/]*|[A-Za-z]:\\*) ;; - *[\\/]*) - progdir=`$ECHO "$progpath" |$SED "$sed_dirname"` - progdir=`cd "$progdir" && pwd` - progpath=$progdir/$progname - ;; - *) - _G_IFS=$IFS - IFS=${PATH_SEPARATOR-:} - for progdir in $PATH; do - IFS=$_G_IFS - test -x "$progdir/$progname" && break - done - IFS=$_G_IFS - test -n "$progdir" || progdir=`pwd` - progpath=$progdir/$progname - ;; -esac - - -## ----------------- ## -## Standard options. ## -## ----------------- ## - -# The following options affect the operation of the functions defined -# below, and should be set appropriately depending on run-time para- -# meters passed on the command line. - -opt_dry_run=false -opt_quiet=false -opt_verbose=false - -# Categories 'all' and 'none' are always available. Append any others -# you will pass as the first argument to func_warning from your own -# code. -warning_categories= - -# By default, display warnings according to 'opt_warning_types'. Set -# 'warning_func' to ':' to elide all warnings, or func_fatal_error to -# treat the next displayed warning as a fatal error. -warning_func=func_warn_and_continue - -# Set to 'all' to display all warnings, 'none' to suppress all -# warnings, or a space delimited list of some subset of -# 'warning_categories' to display only the listed warnings. -opt_warning_types=all - - -## -------------------- ## -## Resource management. ## -## -------------------- ## - -# This section contains definitions for functions that each ensure a -# particular resource (a file, or a non-empty configuration variable for -# example) is available, and if appropriate to extract default values -# from pertinent package files. Call them using their associated -# 'require_*' variable to ensure that they are executed, at most, once. -# -# It's entirely deliberate that calling these functions can set -# variables that don't obey the namespace limitations obeyed by the rest -# of this file, in order that that they be as useful as possible to -# callers. - - -# require_term_colors -# ------------------- -# Allow display of bold text on terminals that support it. -require_term_colors=func_require_term_colors -func_require_term_colors () -{ - $debug_cmd - - test -t 1 && { - # COLORTERM and USE_ANSI_COLORS environment variables take - # precedence, because most terminfo databases neglect to describe - # whether color sequences are supported. - test -n "${COLORTERM+set}" && : ${USE_ANSI_COLORS="1"} - - if test 1 = "$USE_ANSI_COLORS"; then - # Standard ANSI escape sequences - tc_reset='' - tc_bold=''; tc_standout='' - tc_red=''; tc_green='' - tc_blue=''; tc_cyan='' - else - # Otherwise trust the terminfo database after all. - test -n "`tput sgr0 2>/dev/null`" && { - tc_reset=`tput sgr0` - test -n "`tput bold 2>/dev/null`" && tc_bold=`tput bold` - tc_standout=$tc_bold - test -n "`tput smso 2>/dev/null`" && tc_standout=`tput smso` - test -n "`tput setaf 1 2>/dev/null`" && tc_red=`tput setaf 1` - test -n "`tput setaf 2 2>/dev/null`" && tc_green=`tput setaf 2` - test -n "`tput setaf 4 2>/dev/null`" && tc_blue=`tput setaf 4` - test -n "`tput setaf 5 2>/dev/null`" && tc_cyan=`tput setaf 5` - } - fi - } - - require_term_colors=: -} - - -## ----------------- ## -## Function library. ## -## ----------------- ## - -# This section contains a variety of useful functions to call in your -# scripts. Take note of the portable wrappers for features provided by -# some modern shells, which will fall back to slower equivalents on -# less featureful shells. - - -# func_append VAR VALUE -# --------------------- -# Append VALUE onto the existing contents of VAR. - - # We should try to minimise forks, especially on Windows where they are - # unreasonably slow, so skip the feature probes when bash or zsh are - # being used: - if test set = "${BASH_VERSION+set}${ZSH_VERSION+set}"; then - : ${_G_HAVE_ARITH_OP="yes"} - : ${_G_HAVE_XSI_OPS="yes"} - # The += operator was introduced in bash 3.1 - case $BASH_VERSION in - [12].* | 3.0 | 3.0*) ;; - *) - : ${_G_HAVE_PLUSEQ_OP="yes"} - ;; - esac - fi - - # _G_HAVE_PLUSEQ_OP - # Can be empty, in which case the shell is probed, "yes" if += is - # useable or anything else if it does not work. - test -z "$_G_HAVE_PLUSEQ_OP" \ - && (eval 'x=a; x+=" b"; test "a b" = "$x"') 2>/dev/null \ - && _G_HAVE_PLUSEQ_OP=yes - -if test yes = "$_G_HAVE_PLUSEQ_OP" -then - # This is an XSI compatible shell, allowing a faster implementation... - eval 'func_append () - { - $debug_cmd - - eval "$1+=\$2" - }' -else - # ...otherwise fall back to using expr, which is often a shell builtin. - func_append () - { - $debug_cmd - - eval "$1=\$$1\$2" - } -fi - - -# func_append_quoted VAR VALUE -# ---------------------------- -# Quote VALUE and append to the end of shell variable VAR, separated -# by a space. -if test yes = "$_G_HAVE_PLUSEQ_OP"; then - eval 'func_append_quoted () - { - $debug_cmd - - func_quote_for_eval "$2" - eval "$1+=\\ \$func_quote_for_eval_result" - }' -else - func_append_quoted () - { - $debug_cmd - - func_quote_for_eval "$2" - eval "$1=\$$1\\ \$func_quote_for_eval_result" - } -fi - - -# func_append_uniq VAR VALUE -# -------------------------- -# Append unique VALUE onto the existing contents of VAR, assuming -# entries are delimited by the first character of VALUE. For example: -# -# func_append_uniq options " --another-option option-argument" -# -# will only append to $options if " --another-option option-argument " -# is not already present somewhere in $options already (note spaces at -# each end implied by leading space in second argument). -func_append_uniq () -{ - $debug_cmd - - eval _G_current_value='`$ECHO $'$1'`' - _G_delim=`expr "$2" : '\(.\)'` - - case $_G_delim$_G_current_value$_G_delim in - *"$2$_G_delim"*) ;; - *) func_append "$@" ;; - esac -} - - -# func_arith TERM... -# ------------------ -# Set func_arith_result to the result of evaluating TERMs. - test -z "$_G_HAVE_ARITH_OP" \ - && (eval 'test 2 = $(( 1 + 1 ))') 2>/dev/null \ - && _G_HAVE_ARITH_OP=yes - -if test yes = "$_G_HAVE_ARITH_OP"; then - eval 'func_arith () - { - $debug_cmd - - func_arith_result=$(( $* )) - }' -else - func_arith () - { - $debug_cmd - - func_arith_result=`expr "$@"` - } -fi - - -# func_basename FILE -# ------------------ -# Set func_basename_result to FILE with everything up to and including -# the last / stripped. -if test yes = "$_G_HAVE_XSI_OPS"; then - # If this shell supports suffix pattern removal, then use it to avoid - # forking. Hide the definitions single quotes in case the shell chokes - # on unsupported syntax... - _b='func_basename_result=${1##*/}' - _d='case $1 in - */*) func_dirname_result=${1%/*}$2 ;; - * ) func_dirname_result=$3 ;; - esac' - -else - # ...otherwise fall back to using sed. - _b='func_basename_result=`$ECHO "$1" |$SED "$sed_basename"`' - _d='func_dirname_result=`$ECHO "$1" |$SED "$sed_dirname"` - if test "X$func_dirname_result" = "X$1"; then - func_dirname_result=$3 - else - func_append func_dirname_result "$2" - fi' -fi - -eval 'func_basename () -{ - $debug_cmd - - '"$_b"' -}' - - -# func_dirname FILE APPEND NONDIR_REPLACEMENT -# ------------------------------------------- -# Compute the dirname of FILE. If nonempty, add APPEND to the result, -# otherwise set result to NONDIR_REPLACEMENT. -eval 'func_dirname () -{ - $debug_cmd - - '"$_d"' -}' - - -# func_dirname_and_basename FILE APPEND NONDIR_REPLACEMENT -# -------------------------------------------------------- -# Perform func_basename and func_dirname in a single function -# call: -# dirname: Compute the dirname of FILE. If nonempty, -# add APPEND to the result, otherwise set result -# to NONDIR_REPLACEMENT. -# value returned in "$func_dirname_result" -# basename: Compute filename of FILE. -# value retuned in "$func_basename_result" -# For efficiency, we do not delegate to the functions above but instead -# duplicate the functionality here. -eval 'func_dirname_and_basename () -{ - $debug_cmd - - '"$_b"' - '"$_d"' -}' - - -# func_echo ARG... -# ---------------- -# Echo program name prefixed message. -func_echo () -{ - $debug_cmd - - _G_message=$* - - func_echo_IFS=$IFS - IFS=$nl - for _G_line in $_G_message; do - IFS=$func_echo_IFS - $ECHO "$progname: $_G_line" - done - IFS=$func_echo_IFS -} - - -# func_echo_all ARG... -# -------------------- -# Invoke $ECHO with all args, space-separated. -func_echo_all () -{ - $ECHO "$*" -} - - -# func_echo_infix_1 INFIX ARG... -# ------------------------------ -# Echo program name, followed by INFIX on the first line, with any -# additional lines not showing INFIX. -func_echo_infix_1 () -{ - $debug_cmd - - $require_term_colors - - _G_infix=$1; shift - _G_indent=$_G_infix - _G_prefix="$progname: $_G_infix: " - _G_message=$* - - # Strip color escape sequences before counting printable length - for _G_tc in "$tc_reset" "$tc_bold" "$tc_standout" "$tc_red" "$tc_green" "$tc_blue" "$tc_cyan" - do - test -n "$_G_tc" && { - _G_esc_tc=`$ECHO "$_G_tc" | $SED "$sed_make_literal_regex"` - _G_indent=`$ECHO "$_G_indent" | $SED "s|$_G_esc_tc||g"` - } - done - _G_indent="$progname: "`echo "$_G_indent" | $SED 's|.| |g'`" " ## exclude from sc_prohibit_nested_quotes - - func_echo_infix_1_IFS=$IFS - IFS=$nl - for _G_line in $_G_message; do - IFS=$func_echo_infix_1_IFS - $ECHO "$_G_prefix$tc_bold$_G_line$tc_reset" >&2 - _G_prefix=$_G_indent - done - IFS=$func_echo_infix_1_IFS -} - - -# func_error ARG... -# ----------------- -# Echo program name prefixed message to standard error. -func_error () -{ - $debug_cmd - - $require_term_colors - - func_echo_infix_1 " $tc_standout${tc_red}error$tc_reset" "$*" >&2 -} - - -# func_fatal_error ARG... -# ----------------------- -# Echo program name prefixed message to standard error, and exit. -func_fatal_error () -{ - $debug_cmd - - func_error "$*" - exit $EXIT_FAILURE -} - - -# func_grep EXPRESSION FILENAME -# ----------------------------- -# Check whether EXPRESSION matches any line of FILENAME, without output. -func_grep () -{ - $debug_cmd - - $GREP "$1" "$2" >/dev/null 2>&1 -} - - -# func_len STRING -# --------------- -# Set func_len_result to the length of STRING. STRING may not -# start with a hyphen. - test -z "$_G_HAVE_XSI_OPS" \ - && (eval 'x=a/b/c; - test 5aa/bb/cc = "${#x}${x%%/*}${x%/*}${x#*/}${x##*/}"') 2>/dev/null \ - && _G_HAVE_XSI_OPS=yes - -if test yes = "$_G_HAVE_XSI_OPS"; then - eval 'func_len () - { - $debug_cmd - - func_len_result=${#1} - }' -else - func_len () - { - $debug_cmd - - func_len_result=`expr "$1" : ".*" 2>/dev/null || echo $max_cmd_len` - } -fi - - -# func_mkdir_p DIRECTORY-PATH -# --------------------------- -# Make sure the entire path to DIRECTORY-PATH is available. -func_mkdir_p () -{ - $debug_cmd - - _G_directory_path=$1 - _G_dir_list= - - if test -n "$_G_directory_path" && test : != "$opt_dry_run"; then - - # Protect directory names starting with '-' - case $_G_directory_path in - -*) _G_directory_path=./$_G_directory_path ;; - esac - - # While some portion of DIR does not yet exist... - while test ! -d "$_G_directory_path"; do - # ...make a list in topmost first order. Use a colon delimited - # list incase some portion of path contains whitespace. - _G_dir_list=$_G_directory_path:$_G_dir_list - - # If the last portion added has no slash in it, the list is done - case $_G_directory_path in */*) ;; *) break ;; esac - - # ...otherwise throw away the child directory and loop - _G_directory_path=`$ECHO "$_G_directory_path" | $SED -e "$sed_dirname"` - done - _G_dir_list=`$ECHO "$_G_dir_list" | $SED 's|:*$||'` - - func_mkdir_p_IFS=$IFS; IFS=: - for _G_dir in $_G_dir_list; do - IFS=$func_mkdir_p_IFS - # mkdir can fail with a 'File exist' error if two processes - # try to create one of the directories concurrently. Don't - # stop in that case! - $MKDIR "$_G_dir" 2>/dev/null || : - done - IFS=$func_mkdir_p_IFS - - # Bail out if we (or some other process) failed to create a directory. - test -d "$_G_directory_path" || \ - func_fatal_error "Failed to create '$1'" - fi -} - - -# func_mktempdir [BASENAME] -# ------------------------- -# Make a temporary directory that won't clash with other running -# libtool processes, and avoids race conditions if possible. If -# given, BASENAME is the basename for that directory. -func_mktempdir () -{ - $debug_cmd - - _G_template=${TMPDIR-/tmp}/${1-$progname} - - if test : = "$opt_dry_run"; then - # Return a directory name, but don't create it in dry-run mode - _G_tmpdir=$_G_template-$$ - else - - # If mktemp works, use that first and foremost - _G_tmpdir=`mktemp -d "$_G_template-XXXXXXXX" 2>/dev/null` - - if test ! -d "$_G_tmpdir"; then - # Failing that, at least try and use $RANDOM to avoid a race - _G_tmpdir=$_G_template-${RANDOM-0}$$ - - func_mktempdir_umask=`umask` - umask 0077 - $MKDIR "$_G_tmpdir" - umask $func_mktempdir_umask - fi - - # If we're not in dry-run mode, bomb out on failure - test -d "$_G_tmpdir" || \ - func_fatal_error "cannot create temporary directory '$_G_tmpdir'" - fi - - $ECHO "$_G_tmpdir" -} - - -# func_normal_abspath PATH -# ------------------------ -# Remove doubled-up and trailing slashes, "." path components, -# and cancel out any ".." path components in PATH after making -# it an absolute path. -func_normal_abspath () -{ - $debug_cmd - - # These SED scripts presuppose an absolute path with a trailing slash. - _G_pathcar='s|^/\([^/]*\).*$|\1|' - _G_pathcdr='s|^/[^/]*||' - _G_removedotparts=':dotsl - s|/\./|/|g - t dotsl - s|/\.$|/|' - _G_collapseslashes='s|/\{1,\}|/|g' - _G_finalslash='s|/*$|/|' - - # Start from root dir and reassemble the path. - func_normal_abspath_result= - func_normal_abspath_tpath=$1 - func_normal_abspath_altnamespace= - case $func_normal_abspath_tpath in - "") - # Empty path, that just means $cwd. - func_stripname '' '/' "`pwd`" - func_normal_abspath_result=$func_stripname_result - return - ;; - # The next three entries are used to spot a run of precisely - # two leading slashes without using negated character classes; - # we take advantage of case's first-match behaviour. - ///*) - # Unusual form of absolute path, do nothing. - ;; - //*) - # Not necessarily an ordinary path; POSIX reserves leading '//' - # and for example Cygwin uses it to access remote file shares - # over CIFS/SMB, so we conserve a leading double slash if found. - func_normal_abspath_altnamespace=/ - ;; - /*) - # Absolute path, do nothing. - ;; - *) - # Relative path, prepend $cwd. - func_normal_abspath_tpath=`pwd`/$func_normal_abspath_tpath - ;; - esac - - # Cancel out all the simple stuff to save iterations. We also want - # the path to end with a slash for ease of parsing, so make sure - # there is one (and only one) here. - func_normal_abspath_tpath=`$ECHO "$func_normal_abspath_tpath" | $SED \ - -e "$_G_removedotparts" -e "$_G_collapseslashes" -e "$_G_finalslash"` - while :; do - # Processed it all yet? - if test / = "$func_normal_abspath_tpath"; then - # If we ascended to the root using ".." the result may be empty now. - if test -z "$func_normal_abspath_result"; then - func_normal_abspath_result=/ - fi - break - fi - func_normal_abspath_tcomponent=`$ECHO "$func_normal_abspath_tpath" | $SED \ - -e "$_G_pathcar"` - func_normal_abspath_tpath=`$ECHO "$func_normal_abspath_tpath" | $SED \ - -e "$_G_pathcdr"` - # Figure out what to do with it - case $func_normal_abspath_tcomponent in - "") - # Trailing empty path component, ignore it. - ;; - ..) - # Parent dir; strip last assembled component from result. - func_dirname "$func_normal_abspath_result" - func_normal_abspath_result=$func_dirname_result - ;; - *) - # Actual path component, append it. - func_append func_normal_abspath_result "/$func_normal_abspath_tcomponent" - ;; - esac - done - # Restore leading double-slash if one was found on entry. - func_normal_abspath_result=$func_normal_abspath_altnamespace$func_normal_abspath_result -} - - -# func_notquiet ARG... -# -------------------- -# Echo program name prefixed message only when not in quiet mode. -func_notquiet () -{ - $debug_cmd - - $opt_quiet || func_echo ${1+"$@"} - - # A bug in bash halts the script if the last line of a function - # fails when set -e is in force, so we need another command to - # work around that: - : -} - - -# func_relative_path SRCDIR DSTDIR -# -------------------------------- -# Set func_relative_path_result to the relative path from SRCDIR to DSTDIR. -func_relative_path () -{ - $debug_cmd - - func_relative_path_result= - func_normal_abspath "$1" - func_relative_path_tlibdir=$func_normal_abspath_result - func_normal_abspath "$2" - func_relative_path_tbindir=$func_normal_abspath_result - - # Ascend the tree starting from libdir - while :; do - # check if we have found a prefix of bindir - case $func_relative_path_tbindir in - $func_relative_path_tlibdir) - # found an exact match - func_relative_path_tcancelled= - break - ;; - $func_relative_path_tlibdir*) - # found a matching prefix - func_stripname "$func_relative_path_tlibdir" '' "$func_relative_path_tbindir" - func_relative_path_tcancelled=$func_stripname_result - if test -z "$func_relative_path_result"; then - func_relative_path_result=. - fi - break - ;; - *) - func_dirname $func_relative_path_tlibdir - func_relative_path_tlibdir=$func_dirname_result - if test -z "$func_relative_path_tlibdir"; then - # Have to descend all the way to the root! - func_relative_path_result=../$func_relative_path_result - func_relative_path_tcancelled=$func_relative_path_tbindir - break - fi - func_relative_path_result=../$func_relative_path_result - ;; - esac - done - - # Now calculate path; take care to avoid doubling-up slashes. - func_stripname '' '/' "$func_relative_path_result" - func_relative_path_result=$func_stripname_result - func_stripname '/' '/' "$func_relative_path_tcancelled" - if test -n "$func_stripname_result"; then - func_append func_relative_path_result "/$func_stripname_result" - fi - - # Normalisation. If bindir is libdir, return '.' else relative path. - if test -n "$func_relative_path_result"; then - func_stripname './' '' "$func_relative_path_result" - func_relative_path_result=$func_stripname_result - fi - - test -n "$func_relative_path_result" || func_relative_path_result=. - - : -} - - -# func_quote_for_eval ARG... -# -------------------------- -# Aesthetically quote ARGs to be evaled later. -# This function returns two values: -# i) func_quote_for_eval_result -# double-quoted, suitable for a subsequent eval -# ii) func_quote_for_eval_unquoted_result -# has all characters that are still active within double -# quotes backslashified. -func_quote_for_eval () -{ - $debug_cmd - - func_quote_for_eval_unquoted_result= - func_quote_for_eval_result= - while test 0 -lt $#; do - case $1 in - *[\\\`\"\$]*) - _G_unquoted_arg=`printf '%s\n' "$1" |$SED "$sed_quote_subst"` ;; - *) - _G_unquoted_arg=$1 ;; - esac - if test -n "$func_quote_for_eval_unquoted_result"; then - func_append func_quote_for_eval_unquoted_result " $_G_unquoted_arg" - else - func_append func_quote_for_eval_unquoted_result "$_G_unquoted_arg" - fi - - case $_G_unquoted_arg in - # Double-quote args containing shell metacharacters to delay - # word splitting, command substitution and variable expansion - # for a subsequent eval. - # Many Bourne shells cannot handle close brackets correctly - # in scan sets, so we specify it separately. - *[\[\~\#\^\&\*\(\)\{\}\|\;\<\>\?\'\ \ ]*|*]*|"") - _G_quoted_arg=\"$_G_unquoted_arg\" - ;; - *) - _G_quoted_arg=$_G_unquoted_arg - ;; - esac - - if test -n "$func_quote_for_eval_result"; then - func_append func_quote_for_eval_result " $_G_quoted_arg" - else - func_append func_quote_for_eval_result "$_G_quoted_arg" - fi - shift - done -} - - -# func_quote_for_expand ARG -# ------------------------- -# Aesthetically quote ARG to be evaled later; same as above, -# but do not quote variable references. -func_quote_for_expand () -{ - $debug_cmd - - case $1 in - *[\\\`\"]*) - _G_arg=`$ECHO "$1" | $SED \ - -e "$sed_double_quote_subst" -e "$sed_double_backslash"` ;; - *) - _G_arg=$1 ;; - esac - - case $_G_arg in - # Double-quote args containing shell metacharacters to delay - # word splitting and command substitution for a subsequent eval. - # Many Bourne shells cannot handle close brackets correctly - # in scan sets, so we specify it separately. - *[\[\~\#\^\&\*\(\)\{\}\|\;\<\>\?\'\ \ ]*|*]*|"") - _G_arg=\"$_G_arg\" - ;; - esac - - func_quote_for_expand_result=$_G_arg -} - - -# func_stripname PREFIX SUFFIX NAME -# --------------------------------- -# strip PREFIX and SUFFIX from NAME, and store in func_stripname_result. -# PREFIX and SUFFIX must not contain globbing or regex special -# characters, hashes, percent signs, but SUFFIX may contain a leading -# dot (in which case that matches only a dot). -if test yes = "$_G_HAVE_XSI_OPS"; then - eval 'func_stripname () - { - $debug_cmd - - # pdksh 5.2.14 does not do ${X%$Y} correctly if both X and Y are - # positional parameters, so assign one to ordinary variable first. - func_stripname_result=$3 - func_stripname_result=${func_stripname_result#"$1"} - func_stripname_result=${func_stripname_result%"$2"} - }' -else - func_stripname () - { - $debug_cmd - - case $2 in - .*) func_stripname_result=`$ECHO "$3" | $SED -e "s%^$1%%" -e "s%\\\\$2\$%%"`;; - *) func_stripname_result=`$ECHO "$3" | $SED -e "s%^$1%%" -e "s%$2\$%%"`;; - esac - } -fi - - -# func_show_eval CMD [FAIL_EXP] -# ----------------------------- -# Unless opt_quiet is true, then output CMD. Then, if opt_dryrun is -# not true, evaluate CMD. If the evaluation of CMD fails, and FAIL_EXP -# is given, then evaluate it. -func_show_eval () -{ - $debug_cmd - - _G_cmd=$1 - _G_fail_exp=${2-':'} - - func_quote_for_expand "$_G_cmd" - eval "func_notquiet $func_quote_for_expand_result" - - $opt_dry_run || { - eval "$_G_cmd" - _G_status=$? - if test 0 -ne "$_G_status"; then - eval "(exit $_G_status); $_G_fail_exp" - fi - } -} - - -# func_show_eval_locale CMD [FAIL_EXP] -# ------------------------------------ -# Unless opt_quiet is true, then output CMD. Then, if opt_dryrun is -# not true, evaluate CMD. If the evaluation of CMD fails, and FAIL_EXP -# is given, then evaluate it. Use the saved locale for evaluation. -func_show_eval_locale () -{ - $debug_cmd - - _G_cmd=$1 - _G_fail_exp=${2-':'} - - $opt_quiet || { - func_quote_for_expand "$_G_cmd" - eval "func_echo $func_quote_for_expand_result" - } - - $opt_dry_run || { - eval "$_G_user_locale - $_G_cmd" - _G_status=$? - eval "$_G_safe_locale" - if test 0 -ne "$_G_status"; then - eval "(exit $_G_status); $_G_fail_exp" - fi - } -} - - -# func_tr_sh -# ---------- -# Turn $1 into a string suitable for a shell variable name. -# Result is stored in $func_tr_sh_result. All characters -# not in the set a-zA-Z0-9_ are replaced with '_'. Further, -# if $1 begins with a digit, a '_' is prepended as well. -func_tr_sh () -{ - $debug_cmd - - case $1 in - [0-9]* | *[!a-zA-Z0-9_]*) - func_tr_sh_result=`$ECHO "$1" | $SED -e 's/^\([0-9]\)/_\1/' -e 's/[^a-zA-Z0-9_]/_/g'` - ;; - * ) - func_tr_sh_result=$1 - ;; - esac -} - - -# func_verbose ARG... -# ------------------- -# Echo program name prefixed message in verbose mode only. -func_verbose () -{ - $debug_cmd - - $opt_verbose && func_echo "$*" - - : -} - - -# func_warn_and_continue ARG... -# ----------------------------- -# Echo program name prefixed warning message to standard error. -func_warn_and_continue () -{ - $debug_cmd - - $require_term_colors - - func_echo_infix_1 "${tc_red}warning$tc_reset" "$*" >&2 -} - - -# func_warning CATEGORY ARG... -# ---------------------------- -# Echo program name prefixed warning message to standard error. Warning -# messages can be filtered according to CATEGORY, where this function -# elides messages where CATEGORY is not listed in the global variable -# 'opt_warning_types'. -func_warning () -{ - $debug_cmd - - # CATEGORY must be in the warning_categories list! - case " $warning_categories " in - *" $1 "*) ;; - *) func_internal_error "invalid warning category '$1'" ;; - esac - - _G_category=$1 - shift - - case " $opt_warning_types " in - *" $_G_category "*) $warning_func ${1+"$@"} ;; - esac -} - - -# func_sort_ver VER1 VER2 -# ----------------------- -# 'sort -V' is not generally available. -# Note this deviates from the version comparison in automake -# in that it treats 1.5 < 1.5.0, and treats 1.4.4a < 1.4-p3a -# but this should suffice as we won't be specifying old -# version formats or redundant trailing .0 in bootstrap.conf. -# If we did want full compatibility then we should probably -# use m4_version_compare from autoconf. -func_sort_ver () -{ - $debug_cmd - - printf '%s\n%s\n' "$1" "$2" \ - | sort -t. -k 1,1n -k 2,2n -k 3,3n -k 4,4n -k 5,5n -k 6,6n -k 7,7n -k 8,8n -k 9,9n -} - -# func_lt_ver PREV CURR -# --------------------- -# Return true if PREV and CURR are in the correct order according to -# func_sort_ver, otherwise false. Use it like this: -# -# func_lt_ver "$prev_ver" "$proposed_ver" || func_fatal_error "..." -func_lt_ver () -{ - $debug_cmd - - test "x$1" = x`func_sort_ver "$1" "$2" | $SED 1q` -} - - -# Local variables: -# mode: shell-script -# sh-indentation: 2 -# eval: (add-hook 'before-save-hook 'time-stamp) -# time-stamp-pattern: "10/scriptversion=%:y-%02m-%02d.%02H; # UTC" -# time-stamp-time-zone: "UTC" -# End: -#! /bin/sh - -# Set a version string for this script. -scriptversion=2014-01-07.03; # UTC - -# A portable, pluggable option parser for Bourne shell. -# Written by Gary V. Vaughan, 2010 - -# Copyright (C) 2010-2015 Free Software Foundation, Inc. -# This is free software; see the source for copying conditions. There is NO -# warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. - -# This program is free software: you can redistribute it and/or modify -# it under the terms of the GNU General Public License as published by -# the Free Software Foundation, either version 3 of the License, or -# (at your option) any later version. - -# This program is distributed in the hope that it will be useful, -# but WITHOUT ANY WARRANTY; without even the implied warranty of -# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -# GNU General Public License for more details. - -# You should have received a copy of the GNU General Public License -# along with this program. If not, see . - -# Please report bugs or propose patches to gary@gnu.org. - - -## ------ ## -## Usage. ## -## ------ ## - -# This file is a library for parsing options in your shell scripts along -# with assorted other useful supporting features that you can make use -# of too. -# -# For the simplest scripts you might need only: -# -# #!/bin/sh -# . relative/path/to/funclib.sh -# . relative/path/to/options-parser -# scriptversion=1.0 -# func_options ${1+"$@"} -# eval set dummy "$func_options_result"; shift -# ...rest of your script... -# -# In order for the '--version' option to work, you will need to have a -# suitably formatted comment like the one at the top of this file -# starting with '# Written by ' and ending with '# warranty; '. -# -# For '-h' and '--help' to work, you will also need a one line -# description of your script's purpose in a comment directly above the -# '# Written by ' line, like the one at the top of this file. -# -# The default options also support '--debug', which will turn on shell -# execution tracing (see the comment above debug_cmd below for another -# use), and '--verbose' and the func_verbose function to allow your script -# to display verbose messages only when your user has specified -# '--verbose'. -# -# After sourcing this file, you can plug processing for additional -# options by amending the variables from the 'Configuration' section -# below, and following the instructions in the 'Option parsing' -# section further down. - -## -------------- ## -## Configuration. ## -## -------------- ## - -# You should override these variables in your script after sourcing this -# file so that they reflect the customisations you have added to the -# option parser. - -# The usage line for option parsing errors and the start of '-h' and -# '--help' output messages. You can embed shell variables for delayed -# expansion at the time the message is displayed, but you will need to -# quote other shell meta-characters carefully to prevent them being -# expanded when the contents are evaled. -usage='$progpath [OPTION]...' - -# Short help message in response to '-h' and '--help'. Add to this or -# override it after sourcing this library to reflect the full set of -# options your script accepts. -usage_message="\ - --debug enable verbose shell tracing - -W, --warnings=CATEGORY - report the warnings falling in CATEGORY [all] - -v, --verbose verbosely report processing - --version print version information and exit - -h, --help print short or long help message and exit -" - -# Additional text appended to 'usage_message' in response to '--help'. -long_help_message=" -Warning categories include: - 'all' show all warnings - 'none' turn off all the warnings - 'error' warnings are treated as fatal errors" - -# Help message printed before fatal option parsing errors. -fatal_help="Try '\$progname --help' for more information." - - - -## ------------------------- ## -## Hook function management. ## -## ------------------------- ## - -# This section contains functions for adding, removing, and running hooks -# to the main code. A hook is just a named list of of function, that can -# be run in order later on. - -# func_hookable FUNC_NAME -# ----------------------- -# Declare that FUNC_NAME will run hooks added with -# 'func_add_hook FUNC_NAME ...'. -func_hookable () -{ - $debug_cmd - - func_append hookable_fns " $1" -} - - -# func_add_hook FUNC_NAME HOOK_FUNC -# --------------------------------- -# Request that FUNC_NAME call HOOK_FUNC before it returns. FUNC_NAME must -# first have been declared "hookable" by a call to 'func_hookable'. -func_add_hook () -{ - $debug_cmd - - case " $hookable_fns " in - *" $1 "*) ;; - *) func_fatal_error "'$1' does not accept hook functions." ;; - esac - - eval func_append ${1}_hooks '" $2"' -} - - -# func_remove_hook FUNC_NAME HOOK_FUNC -# ------------------------------------ -# Remove HOOK_FUNC from the list of functions called by FUNC_NAME. -func_remove_hook () -{ - $debug_cmd - - eval ${1}_hooks='`$ECHO "\$'$1'_hooks" |$SED "s| '$2'||"`' -} - - -# func_run_hooks FUNC_NAME [ARG]... -# --------------------------------- -# Run all hook functions registered to FUNC_NAME. -# It is assumed that the list of hook functions contains nothing more -# than a whitespace-delimited list of legal shell function names, and -# no effort is wasted trying to catch shell meta-characters or preserve -# whitespace. -func_run_hooks () -{ - $debug_cmd - - case " $hookable_fns " in - *" $1 "*) ;; - *) func_fatal_error "'$1' does not support hook funcions.n" ;; - esac - - eval _G_hook_fns=\$$1_hooks; shift - - for _G_hook in $_G_hook_fns; do - eval $_G_hook '"$@"' - - # store returned options list back into positional - # parameters for next 'cmd' execution. - eval _G_hook_result=\$${_G_hook}_result - eval set dummy "$_G_hook_result"; shift - done - - func_quote_for_eval ${1+"$@"} - func_run_hooks_result=$func_quote_for_eval_result -} - - - -## --------------- ## -## Option parsing. ## -## --------------- ## - -# In order to add your own option parsing hooks, you must accept the -# full positional parameter list in your hook function, remove any -# options that you action, and then pass back the remaining unprocessed -# options in '_result', escaped suitably for -# 'eval'. Like this: -# -# my_options_prep () -# { -# $debug_cmd -# -# # Extend the existing usage message. -# usage_message=$usage_message' -# -s, --silent don'\''t print informational messages -# ' -# -# func_quote_for_eval ${1+"$@"} -# my_options_prep_result=$func_quote_for_eval_result -# } -# func_add_hook func_options_prep my_options_prep -# -# -# my_silent_option () -# { -# $debug_cmd -# -# # Note that for efficiency, we parse as many options as we can -# # recognise in a loop before passing the remainder back to the -# # caller on the first unrecognised argument we encounter. -# while test $# -gt 0; do -# opt=$1; shift -# case $opt in -# --silent|-s) opt_silent=: ;; -# # Separate non-argument short options: -# -s*) func_split_short_opt "$_G_opt" -# set dummy "$func_split_short_opt_name" \ -# "-$func_split_short_opt_arg" ${1+"$@"} -# shift -# ;; -# *) set dummy "$_G_opt" "$*"; shift; break ;; -# esac -# done -# -# func_quote_for_eval ${1+"$@"} -# my_silent_option_result=$func_quote_for_eval_result -# } -# func_add_hook func_parse_options my_silent_option -# -# -# my_option_validation () -# { -# $debug_cmd -# -# $opt_silent && $opt_verbose && func_fatal_help "\ -# '--silent' and '--verbose' options are mutually exclusive." -# -# func_quote_for_eval ${1+"$@"} -# my_option_validation_result=$func_quote_for_eval_result -# } -# func_add_hook func_validate_options my_option_validation -# -# You'll alse need to manually amend $usage_message to reflect the extra -# options you parse. It's preferable to append if you can, so that -# multiple option parsing hooks can be added safely. - - -# func_options [ARG]... -# --------------------- -# All the functions called inside func_options are hookable. See the -# individual implementations for details. -func_hookable func_options -func_options () -{ - $debug_cmd - - func_options_prep ${1+"$@"} - eval func_parse_options \ - ${func_options_prep_result+"$func_options_prep_result"} - eval func_validate_options \ - ${func_parse_options_result+"$func_parse_options_result"} - - eval func_run_hooks func_options \ - ${func_validate_options_result+"$func_validate_options_result"} - - # save modified positional parameters for caller - func_options_result=$func_run_hooks_result -} - - -# func_options_prep [ARG]... -# -------------------------- -# All initialisations required before starting the option parse loop. -# Note that when calling hook functions, we pass through the list of -# positional parameters. If a hook function modifies that list, and -# needs to propogate that back to rest of this script, then the complete -# modified list must be put in 'func_run_hooks_result' before -# returning. -func_hookable func_options_prep -func_options_prep () -{ - $debug_cmd - - # Option defaults: - opt_verbose=false - opt_warning_types= - - func_run_hooks func_options_prep ${1+"$@"} - - # save modified positional parameters for caller - func_options_prep_result=$func_run_hooks_result -} - - -# func_parse_options [ARG]... -# --------------------------- -# The main option parsing loop. -func_hookable func_parse_options -func_parse_options () -{ - $debug_cmd - - func_parse_options_result= - - # this just eases exit handling - while test $# -gt 0; do - # Defer to hook functions for initial option parsing, so they - # get priority in the event of reusing an option name. - func_run_hooks func_parse_options ${1+"$@"} - - # Adjust func_parse_options positional parameters to match - eval set dummy "$func_run_hooks_result"; shift - - # Break out of the loop if we already parsed every option. - test $# -gt 0 || break - - _G_opt=$1 - shift - case $_G_opt in - --debug|-x) debug_cmd='set -x' - func_echo "enabling shell trace mode" - $debug_cmd - ;; - - --no-warnings|--no-warning|--no-warn) - set dummy --warnings none ${1+"$@"} - shift - ;; - - --warnings|--warning|-W) - test $# = 0 && func_missing_arg $_G_opt && break - case " $warning_categories $1" in - *" $1 "*) - # trailing space prevents matching last $1 above - func_append_uniq opt_warning_types " $1" - ;; - *all) - opt_warning_types=$warning_categories - ;; - *none) - opt_warning_types=none - warning_func=: - ;; - *error) - opt_warning_types=$warning_categories - warning_func=func_fatal_error - ;; - *) - func_fatal_error \ - "unsupported warning category: '$1'" - ;; - esac - shift - ;; - - --verbose|-v) opt_verbose=: ;; - --version) func_version ;; - -\?|-h) func_usage ;; - --help) func_help ;; - - # Separate optargs to long options (plugins may need this): - --*=*) func_split_equals "$_G_opt" - set dummy "$func_split_equals_lhs" \ - "$func_split_equals_rhs" ${1+"$@"} - shift - ;; - - # Separate optargs to short options: - -W*) - func_split_short_opt "$_G_opt" - set dummy "$func_split_short_opt_name" \ - "$func_split_short_opt_arg" ${1+"$@"} - shift - ;; - - # Separate non-argument short options: - -\?*|-h*|-v*|-x*) - func_split_short_opt "$_G_opt" - set dummy "$func_split_short_opt_name" \ - "-$func_split_short_opt_arg" ${1+"$@"} - shift - ;; - - --) break ;; - -*) func_fatal_help "unrecognised option: '$_G_opt'" ;; - *) set dummy "$_G_opt" ${1+"$@"}; shift; break ;; - esac - done - - # save modified positional parameters for caller - func_quote_for_eval ${1+"$@"} - func_parse_options_result=$func_quote_for_eval_result -} - - -# func_validate_options [ARG]... -# ------------------------------ -# Perform any sanity checks on option settings and/or unconsumed -# arguments. -func_hookable func_validate_options -func_validate_options () -{ - $debug_cmd - - # Display all warnings if -W was not given. - test -n "$opt_warning_types" || opt_warning_types=" $warning_categories" - - func_run_hooks func_validate_options ${1+"$@"} - - # Bail if the options were screwed! - $exit_cmd $EXIT_FAILURE - - # save modified positional parameters for caller - func_validate_options_result=$func_run_hooks_result -} - - - -## ----------------- ## -## Helper functions. ## -## ----------------- ## - -# This section contains the helper functions used by the rest of the -# hookable option parser framework in ascii-betical order. - - -# func_fatal_help ARG... -# ---------------------- -# Echo program name prefixed message to standard error, followed by -# a help hint, and exit. -func_fatal_help () -{ - $debug_cmd - - eval \$ECHO \""Usage: $usage"\" - eval \$ECHO \""$fatal_help"\" - func_error ${1+"$@"} - exit $EXIT_FAILURE -} - - -# func_help -# --------- -# Echo long help message to standard output and exit. -func_help () -{ - $debug_cmd - - func_usage_message - $ECHO "$long_help_message" - exit 0 -} - - -# func_missing_arg ARGNAME -# ------------------------ -# Echo program name prefixed message to standard error and set global -# exit_cmd. -func_missing_arg () -{ - $debug_cmd - - func_error "Missing argument for '$1'." - exit_cmd=exit -} - - -# func_split_equals STRING -# ------------------------ -# Set func_split_equals_lhs and func_split_equals_rhs shell variables after -# splitting STRING at the '=' sign. -test -z "$_G_HAVE_XSI_OPS" \ - && (eval 'x=a/b/c; - test 5aa/bb/cc = "${#x}${x%%/*}${x%/*}${x#*/}${x##*/}"') 2>/dev/null \ - && _G_HAVE_XSI_OPS=yes - -if test yes = "$_G_HAVE_XSI_OPS" -then - # This is an XSI compatible shell, allowing a faster implementation... - eval 'func_split_equals () - { - $debug_cmd - - func_split_equals_lhs=${1%%=*} - func_split_equals_rhs=${1#*=} - test "x$func_split_equals_lhs" = "x$1" \ - && func_split_equals_rhs= - }' -else - # ...otherwise fall back to using expr, which is often a shell builtin. - func_split_equals () - { - $debug_cmd - - func_split_equals_lhs=`expr "x$1" : 'x\([^=]*\)'` - func_split_equals_rhs= - test "x$func_split_equals_lhs" = "x$1" \ - || func_split_equals_rhs=`expr "x$1" : 'x[^=]*=\(.*\)$'` - } -fi #func_split_equals - - -# func_split_short_opt SHORTOPT -# ----------------------------- -# Set func_split_short_opt_name and func_split_short_opt_arg shell -# variables after splitting SHORTOPT after the 2nd character. -if test yes = "$_G_HAVE_XSI_OPS" -then - # This is an XSI compatible shell, allowing a faster implementation... - eval 'func_split_short_opt () - { - $debug_cmd - - func_split_short_opt_arg=${1#??} - func_split_short_opt_name=${1%"$func_split_short_opt_arg"} - }' -else - # ...otherwise fall back to using expr, which is often a shell builtin. - func_split_short_opt () - { - $debug_cmd - - func_split_short_opt_name=`expr "x$1" : 'x-\(.\)'` - func_split_short_opt_arg=`expr "x$1" : 'x-.\(.*\)$'` - } -fi #func_split_short_opt - - -# func_usage -# ---------- -# Echo short help message to standard output and exit. -func_usage () -{ - $debug_cmd - - func_usage_message - $ECHO "Run '$progname --help |${PAGER-more}' for full usage" - exit 0 -} - - -# func_usage_message -# ------------------ -# Echo short help message to standard output. -func_usage_message () -{ - $debug_cmd - - eval \$ECHO \""Usage: $usage"\" - echo - $SED -n 's|^# || - /^Written by/{ - x;p;x - } - h - /^Written by/q' < "$progpath" - echo - eval \$ECHO \""$usage_message"\" -} - - -# func_version -# ------------ -# Echo version message to standard output and exit. -func_version () -{ - $debug_cmd - - printf '%s\n' "$progname $scriptversion" - $SED -n ' - /(C)/!b go - :more - /\./!{ - N - s|\n# | | - b more - } - :go - /^# Written by /,/# warranty; / { - s|^# || - s|^# *$|| - s|\((C)\)[ 0-9,-]*[ ,-]\([1-9][0-9]* \)|\1 \2| - p - } - /^# Written by / { - s|^# || - p - } - /^warranty; /q' < "$progpath" - - exit $? -} - - -# Local variables: -# mode: shell-script -# sh-indentation: 2 -# eval: (add-hook 'before-save-hook 'time-stamp) -# time-stamp-pattern: "10/scriptversion=%:y-%02m-%02d.%02H; # UTC" -# time-stamp-time-zone: "UTC" -# End: - -# Set a version string. -scriptversion='(GNU libtool) 2.4.6' - - -# func_echo ARG... -# ---------------- -# Libtool also displays the current mode in messages, so override -# funclib.sh func_echo with this custom definition. -func_echo () -{ - $debug_cmd - - _G_message=$* - - func_echo_IFS=$IFS - IFS=$nl - for _G_line in $_G_message; do - IFS=$func_echo_IFS - $ECHO "$progname${opt_mode+: $opt_mode}: $_G_line" - done - IFS=$func_echo_IFS -} - - -# func_warning ARG... -# ------------------- -# Libtool warnings are not categorized, so override funclib.sh -# func_warning with this simpler definition. -func_warning () -{ - $debug_cmd - - $warning_func ${1+"$@"} -} - - -## ---------------- ## -## Options parsing. ## -## ---------------- ## - -# Hook in the functions to make sure our own options are parsed during -# the option parsing loop. - -usage='$progpath [OPTION]... [MODE-ARG]...' - -# Short help message in response to '-h'. -usage_message="Options: - --config show all configuration variables - --debug enable verbose shell tracing - -n, --dry-run display commands without modifying any files - --features display basic configuration information and exit - --mode=MODE use operation mode MODE - --no-warnings equivalent to '-Wnone' - --preserve-dup-deps don't remove duplicate dependency libraries - --quiet, --silent don't print informational messages - --tag=TAG use configuration variables from tag TAG - -v, --verbose print more informational messages than default - --version print version information - -W, --warnings=CATEGORY report the warnings falling in CATEGORY [all] - -h, --help, --help-all print short, long, or detailed help message -" - -# Additional text appended to 'usage_message' in response to '--help'. -func_help () -{ - $debug_cmd - - func_usage_message - $ECHO "$long_help_message - -MODE must be one of the following: - - clean remove files from the build directory - compile compile a source file into a libtool object - execute automatically set library path, then run a program - finish complete the installation of libtool libraries - install install libraries or executables - link create a library or an executable - uninstall remove libraries from an installed directory - -MODE-ARGS vary depending on the MODE. When passed as first option, -'--mode=MODE' may be abbreviated as 'MODE' or a unique abbreviation of that. -Try '$progname --help --mode=MODE' for a more detailed description of MODE. - -When reporting a bug, please describe a test case to reproduce it and -include the following information: - - host-triplet: $host - shell: $SHELL - compiler: $LTCC - compiler flags: $LTCFLAGS - linker: $LD (gnu? $with_gnu_ld) - version: $progname (GNU libtool) 2.4.6 - automake: `($AUTOMAKE --version) 2>/dev/null |$SED 1q` - autoconf: `($AUTOCONF --version) 2>/dev/null |$SED 1q` - -Report bugs to . -GNU libtool home page: . -General help using GNU software: ." - exit 0 -} - - -# func_lo2o OBJECT-NAME -# --------------------- -# Transform OBJECT-NAME from a '.lo' suffix to the platform specific -# object suffix. - -lo2o=s/\\.lo\$/.$objext/ -o2lo=s/\\.$objext\$/.lo/ - -if test yes = "$_G_HAVE_XSI_OPS"; then - eval 'func_lo2o () - { - case $1 in - *.lo) func_lo2o_result=${1%.lo}.$objext ;; - * ) func_lo2o_result=$1 ;; - esac - }' - - # func_xform LIBOBJ-OR-SOURCE - # --------------------------- - # Transform LIBOBJ-OR-SOURCE from a '.o' or '.c' (or otherwise) - # suffix to a '.lo' libtool-object suffix. - eval 'func_xform () - { - func_xform_result=${1%.*}.lo - }' -else - # ...otherwise fall back to using sed. - func_lo2o () - { - func_lo2o_result=`$ECHO "$1" | $SED "$lo2o"` - } - - func_xform () - { - func_xform_result=`$ECHO "$1" | $SED 's|\.[^.]*$|.lo|'` - } -fi - - -# func_fatal_configuration ARG... -# ------------------------------- -# Echo program name prefixed message to standard error, followed by -# a configuration failure hint, and exit. -func_fatal_configuration () -{ - func_fatal_error ${1+"$@"} \ - "See the $PACKAGE documentation for more information." \ - "Fatal configuration error." -} - - -# func_config -# ----------- -# Display the configuration for all the tags in this script. -func_config () -{ - re_begincf='^# ### BEGIN LIBTOOL' - re_endcf='^# ### END LIBTOOL' - - # Default configuration. - $SED "1,/$re_begincf CONFIG/d;/$re_endcf CONFIG/,\$d" < "$progpath" - - # Now print the configurations for the tags. - for tagname in $taglist; do - $SED -n "/$re_begincf TAG CONFIG: $tagname\$/,/$re_endcf TAG CONFIG: $tagname\$/p" < "$progpath" - done - - exit $? -} - - -# func_features -# ------------- -# Display the features supported by this script. -func_features () -{ - echo "host: $host" - if test yes = "$build_libtool_libs"; then - echo "enable shared libraries" - else - echo "disable shared libraries" - fi - if test yes = "$build_old_libs"; then - echo "enable static libraries" - else - echo "disable static libraries" - fi - - exit $? -} - - -# func_enable_tag TAGNAME -# ----------------------- -# Verify that TAGNAME is valid, and either flag an error and exit, or -# enable the TAGNAME tag. We also add TAGNAME to the global $taglist -# variable here. -func_enable_tag () -{ - # Global variable: - tagname=$1 - - re_begincf="^# ### BEGIN LIBTOOL TAG CONFIG: $tagname\$" - re_endcf="^# ### END LIBTOOL TAG CONFIG: $tagname\$" - sed_extractcf=/$re_begincf/,/$re_endcf/p - - # Validate tagname. - case $tagname in - *[!-_A-Za-z0-9,/]*) - func_fatal_error "invalid tag name: $tagname" - ;; - esac - - # Don't test for the "default" C tag, as we know it's - # there but not specially marked. - case $tagname in - CC) ;; - *) - if $GREP "$re_begincf" "$progpath" >/dev/null 2>&1; then - taglist="$taglist $tagname" - - # Evaluate the configuration. Be careful to quote the path - # and the sed script, to avoid splitting on whitespace, but - # also don't use non-portable quotes within backquotes within - # quotes we have to do it in 2 steps: - extractedcf=`$SED -n -e "$sed_extractcf" < "$progpath"` - eval "$extractedcf" - else - func_error "ignoring unknown tag $tagname" - fi - ;; - esac -} - - -# func_check_version_match -# ------------------------ -# Ensure that we are using m4 macros, and libtool script from the same -# release of libtool. -func_check_version_match () -{ - if test "$package_revision" != "$macro_revision"; then - if test "$VERSION" != "$macro_version"; then - if test -z "$macro_version"; then - cat >&2 <<_LT_EOF -$progname: Version mismatch error. This is $PACKAGE $VERSION, but the -$progname: definition of this LT_INIT comes from an older release. -$progname: You should recreate aclocal.m4 with macros from $PACKAGE $VERSION -$progname: and run autoconf again. -_LT_EOF - else - cat >&2 <<_LT_EOF -$progname: Version mismatch error. This is $PACKAGE $VERSION, but the -$progname: definition of this LT_INIT comes from $PACKAGE $macro_version. -$progname: You should recreate aclocal.m4 with macros from $PACKAGE $VERSION -$progname: and run autoconf again. -_LT_EOF - fi - else - cat >&2 <<_LT_EOF -$progname: Version mismatch error. This is $PACKAGE $VERSION, revision $package_revision, -$progname: but the definition of this LT_INIT comes from revision $macro_revision. -$progname: You should recreate aclocal.m4 with macros from revision $package_revision -$progname: of $PACKAGE $VERSION and run autoconf again. -_LT_EOF - fi - - exit $EXIT_MISMATCH - fi -} - - -# libtool_options_prep [ARG]... -# ----------------------------- -# Preparation for options parsed by libtool. -libtool_options_prep () -{ - $debug_mode - - # Option defaults: - opt_config=false - opt_dlopen= - opt_dry_run=false - opt_help=false - opt_mode= - opt_preserve_dup_deps=false - opt_quiet=false - - nonopt= - preserve_args= - - # Shorthand for --mode=foo, only valid as the first argument - case $1 in - clean|clea|cle|cl) - shift; set dummy --mode clean ${1+"$@"}; shift - ;; - compile|compil|compi|comp|com|co|c) - shift; set dummy --mode compile ${1+"$@"}; shift - ;; - execute|execut|execu|exec|exe|ex|e) - shift; set dummy --mode execute ${1+"$@"}; shift - ;; - finish|finis|fini|fin|fi|f) - shift; set dummy --mode finish ${1+"$@"}; shift - ;; - install|instal|insta|inst|ins|in|i) - shift; set dummy --mode install ${1+"$@"}; shift - ;; - link|lin|li|l) - shift; set dummy --mode link ${1+"$@"}; shift - ;; - uninstall|uninstal|uninsta|uninst|unins|unin|uni|un|u) - shift; set dummy --mode uninstall ${1+"$@"}; shift - ;; - esac - - # Pass back the list of options. - func_quote_for_eval ${1+"$@"} - libtool_options_prep_result=$func_quote_for_eval_result -} -func_add_hook func_options_prep libtool_options_prep - - -# libtool_parse_options [ARG]... -# --------------------------------- -# Provide handling for libtool specific options. -libtool_parse_options () -{ - $debug_cmd - - # Perform our own loop to consume as many options as possible in - # each iteration. - while test $# -gt 0; do - _G_opt=$1 - shift - case $_G_opt in - --dry-run|--dryrun|-n) - opt_dry_run=: - ;; - - --config) func_config ;; - - --dlopen|-dlopen) - opt_dlopen="${opt_dlopen+$opt_dlopen -}$1" - shift - ;; - - --preserve-dup-deps) - opt_preserve_dup_deps=: ;; - - --features) func_features ;; - - --finish) set dummy --mode finish ${1+"$@"}; shift ;; - - --help) opt_help=: ;; - - --help-all) opt_help=': help-all' ;; - - --mode) test $# = 0 && func_missing_arg $_G_opt && break - opt_mode=$1 - case $1 in - # Valid mode arguments: - clean|compile|execute|finish|install|link|relink|uninstall) ;; - - # Catch anything else as an error - *) func_error "invalid argument for $_G_opt" - exit_cmd=exit - break - ;; - esac - shift - ;; - - --no-silent|--no-quiet) - opt_quiet=false - func_append preserve_args " $_G_opt" - ;; - - --no-warnings|--no-warning|--no-warn) - opt_warning=false - func_append preserve_args " $_G_opt" - ;; - - --no-verbose) - opt_verbose=false - func_append preserve_args " $_G_opt" - ;; - - --silent|--quiet) - opt_quiet=: - opt_verbose=false - func_append preserve_args " $_G_opt" - ;; - - --tag) test $# = 0 && func_missing_arg $_G_opt && break - opt_tag=$1 - func_append preserve_args " $_G_opt $1" - func_enable_tag "$1" - shift - ;; - - --verbose|-v) opt_quiet=false - opt_verbose=: - func_append preserve_args " $_G_opt" - ;; - - # An option not handled by this hook function: - *) set dummy "$_G_opt" ${1+"$@"}; shift; break ;; - esac - done - - - # save modified positional parameters for caller - func_quote_for_eval ${1+"$@"} - libtool_parse_options_result=$func_quote_for_eval_result -} -func_add_hook func_parse_options libtool_parse_options - - - -# libtool_validate_options [ARG]... -# --------------------------------- -# Perform any sanity checks on option settings and/or unconsumed -# arguments. -libtool_validate_options () -{ - # save first non-option argument - if test 0 -lt $#; then - nonopt=$1 - shift - fi - - # preserve --debug - test : = "$debug_cmd" || func_append preserve_args " --debug" - - case $host in - # Solaris2 added to fix http://debbugs.gnu.org/cgi/bugreport.cgi?bug=16452 - # see also: http://gcc.gnu.org/bugzilla/show_bug.cgi?id=59788 - *cygwin* | *mingw* | *pw32* | *cegcc* | *solaris2* | *os2*) - # don't eliminate duplications in $postdeps and $predeps - opt_duplicate_compiler_generated_deps=: - ;; - *) - opt_duplicate_compiler_generated_deps=$opt_preserve_dup_deps - ;; - esac - - $opt_help || { - # Sanity checks first: - func_check_version_match - - test yes != "$build_libtool_libs" \ - && test yes != "$build_old_libs" \ - && func_fatal_configuration "not configured to build any kind of library" - - # Darwin sucks - eval std_shrext=\"$shrext_cmds\" - - # Only execute mode is allowed to have -dlopen flags. - if test -n "$opt_dlopen" && test execute != "$opt_mode"; then - func_error "unrecognized option '-dlopen'" - $ECHO "$help" 1>&2 - exit $EXIT_FAILURE - fi - - # Change the help message to a mode-specific one. - generic_help=$help - help="Try '$progname --help --mode=$opt_mode' for more information." - } - - # Pass back the unparsed argument list - func_quote_for_eval ${1+"$@"} - libtool_validate_options_result=$func_quote_for_eval_result -} -func_add_hook func_validate_options libtool_validate_options - - -# Process options as early as possible so that --help and --version -# can return quickly. -func_options ${1+"$@"} -eval set dummy "$func_options_result"; shift - - - -## ----------- ## -## Main. ## -## ----------- ## - -magic='%%%MAGIC variable%%%' -magic_exe='%%%MAGIC EXE variable%%%' - -# Global variables. -extracted_archives= -extracted_serial=0 - -# If this variable is set in any of the actions, the command in it -# will be execed at the end. This prevents here-documents from being -# left over by shells. -exec_cmd= - - -# A function that is used when there is no print builtin or printf. -func_fallback_echo () -{ - eval 'cat <<_LTECHO_EOF -$1 -_LTECHO_EOF' -} - -# func_generated_by_libtool -# True iff stdin has been generated by Libtool. This function is only -# a basic sanity check; it will hardly flush out determined imposters. -func_generated_by_libtool_p () -{ - $GREP "^# Generated by .*$PACKAGE" > /dev/null 2>&1 -} - -# func_lalib_p file -# True iff FILE is a libtool '.la' library or '.lo' object file. -# This function is only a basic sanity check; it will hardly flush out -# determined imposters. -func_lalib_p () -{ - test -f "$1" && - $SED -e 4q "$1" 2>/dev/null | func_generated_by_libtool_p -} - -# func_lalib_unsafe_p file -# True iff FILE is a libtool '.la' library or '.lo' object file. -# This function implements the same check as func_lalib_p without -# resorting to external programs. To this end, it redirects stdin and -# closes it afterwards, without saving the original file descriptor. -# As a safety measure, use it only where a negative result would be -# fatal anyway. Works if 'file' does not exist. -func_lalib_unsafe_p () -{ - lalib_p=no - if test -f "$1" && test -r "$1" && exec 5<&0 <"$1"; then - for lalib_p_l in 1 2 3 4 - do - read lalib_p_line - case $lalib_p_line in - \#\ Generated\ by\ *$PACKAGE* ) lalib_p=yes; break;; - esac - done - exec 0<&5 5<&- - fi - test yes = "$lalib_p" -} - -# func_ltwrapper_script_p file -# True iff FILE is a libtool wrapper script -# This function is only a basic sanity check; it will hardly flush out -# determined imposters. -func_ltwrapper_script_p () -{ - test -f "$1" && - $lt_truncate_bin < "$1" 2>/dev/null | func_generated_by_libtool_p -} - -# func_ltwrapper_executable_p file -# True iff FILE is a libtool wrapper executable -# This function is only a basic sanity check; it will hardly flush out -# determined imposters. -func_ltwrapper_executable_p () -{ - func_ltwrapper_exec_suffix= - case $1 in - *.exe) ;; - *) func_ltwrapper_exec_suffix=.exe ;; - esac - $GREP "$magic_exe" "$1$func_ltwrapper_exec_suffix" >/dev/null 2>&1 -} - -# func_ltwrapper_scriptname file -# Assumes file is an ltwrapper_executable -# uses $file to determine the appropriate filename for a -# temporary ltwrapper_script. -func_ltwrapper_scriptname () -{ - func_dirname_and_basename "$1" "" "." - func_stripname '' '.exe' "$func_basename_result" - func_ltwrapper_scriptname_result=$func_dirname_result/$objdir/${func_stripname_result}_ltshwrapper -} - -# func_ltwrapper_p file -# True iff FILE is a libtool wrapper script or wrapper executable -# This function is only a basic sanity check; it will hardly flush out -# determined imposters. -func_ltwrapper_p () -{ - func_ltwrapper_script_p "$1" || func_ltwrapper_executable_p "$1" -} - - -# func_execute_cmds commands fail_cmd -# Execute tilde-delimited COMMANDS. -# If FAIL_CMD is given, eval that upon failure. -# FAIL_CMD may read-access the current command in variable CMD! -func_execute_cmds () -{ - $debug_cmd - - save_ifs=$IFS; IFS='~' - for cmd in $1; do - IFS=$sp$nl - eval cmd=\"$cmd\" - IFS=$save_ifs - func_show_eval "$cmd" "${2-:}" - done - IFS=$save_ifs -} - - -# func_source file -# Source FILE, adding directory component if necessary. -# Note that it is not necessary on cygwin/mingw to append a dot to -# FILE even if both FILE and FILE.exe exist: automatic-append-.exe -# behavior happens only for exec(3), not for open(2)! Also, sourcing -# 'FILE.' does not work on cygwin managed mounts. -func_source () -{ - $debug_cmd - - case $1 in - */* | *\\*) . "$1" ;; - *) . "./$1" ;; - esac -} - - -# func_resolve_sysroot PATH -# Replace a leading = in PATH with a sysroot. Store the result into -# func_resolve_sysroot_result -func_resolve_sysroot () -{ - func_resolve_sysroot_result=$1 - case $func_resolve_sysroot_result in - =*) - func_stripname '=' '' "$func_resolve_sysroot_result" - func_resolve_sysroot_result=$lt_sysroot$func_stripname_result - ;; - esac -} - -# func_replace_sysroot PATH -# If PATH begins with the sysroot, replace it with = and -# store the result into func_replace_sysroot_result. -func_replace_sysroot () -{ - case $lt_sysroot:$1 in - ?*:"$lt_sysroot"*) - func_stripname "$lt_sysroot" '' "$1" - func_replace_sysroot_result='='$func_stripname_result - ;; - *) - # Including no sysroot. - func_replace_sysroot_result=$1 - ;; - esac -} - -# func_infer_tag arg -# Infer tagged configuration to use if any are available and -# if one wasn't chosen via the "--tag" command line option. -# Only attempt this if the compiler in the base compile -# command doesn't match the default compiler. -# arg is usually of the form 'gcc ...' -func_infer_tag () -{ - $debug_cmd - - if test -n "$available_tags" && test -z "$tagname"; then - CC_quoted= - for arg in $CC; do - func_append_quoted CC_quoted "$arg" - done - CC_expanded=`func_echo_all $CC` - CC_quoted_expanded=`func_echo_all $CC_quoted` - case $@ in - # Blanks in the command may have been stripped by the calling shell, - # but not from the CC environment variable when configure was run. - " $CC "* | "$CC "* | " $CC_expanded "* | "$CC_expanded "* | \ - " $CC_quoted"* | "$CC_quoted "* | " $CC_quoted_expanded "* | "$CC_quoted_expanded "*) ;; - # Blanks at the start of $base_compile will cause this to fail - # if we don't check for them as well. - *) - for z in $available_tags; do - if $GREP "^# ### BEGIN LIBTOOL TAG CONFIG: $z$" < "$progpath" > /dev/null; then - # Evaluate the configuration. - eval "`$SED -n -e '/^# ### BEGIN LIBTOOL TAG CONFIG: '$z'$/,/^# ### END LIBTOOL TAG CONFIG: '$z'$/p' < $progpath`" - CC_quoted= - for arg in $CC; do - # Double-quote args containing other shell metacharacters. - func_append_quoted CC_quoted "$arg" - done - CC_expanded=`func_echo_all $CC` - CC_quoted_expanded=`func_echo_all $CC_quoted` - case "$@ " in - " $CC "* | "$CC "* | " $CC_expanded "* | "$CC_expanded "* | \ - " $CC_quoted"* | "$CC_quoted "* | " $CC_quoted_expanded "* | "$CC_quoted_expanded "*) - # The compiler in the base compile command matches - # the one in the tagged configuration. - # Assume this is the tagged configuration we want. - tagname=$z - break - ;; - esac - fi - done - # If $tagname still isn't set, then no tagged configuration - # was found and let the user know that the "--tag" command - # line option must be used. - if test -z "$tagname"; then - func_echo "unable to infer tagged configuration" - func_fatal_error "specify a tag with '--tag'" -# else -# func_verbose "using $tagname tagged configuration" - fi - ;; - esac - fi -} - - - -# func_write_libtool_object output_name pic_name nonpic_name -# Create a libtool object file (analogous to a ".la" file), -# but don't create it if we're doing a dry run. -func_write_libtool_object () -{ - write_libobj=$1 - if test yes = "$build_libtool_libs"; then - write_lobj=\'$2\' - else - write_lobj=none - fi - - if test yes = "$build_old_libs"; then - write_oldobj=\'$3\' - else - write_oldobj=none - fi - - $opt_dry_run || { - cat >${write_libobj}T </dev/null` - if test "$?" -eq 0 && test -n "$func_convert_core_file_wine_to_w32_tmp"; then - func_convert_core_file_wine_to_w32_result=`$ECHO "$func_convert_core_file_wine_to_w32_tmp" | - $SED -e "$sed_naive_backslashify"` - else - func_convert_core_file_wine_to_w32_result= - fi - fi -} -# end: func_convert_core_file_wine_to_w32 - - -# func_convert_core_path_wine_to_w32 ARG -# Helper function used by path conversion functions when $build is *nix, and -# $host is mingw, cygwin, or some other w32 environment. Relies on a correctly -# configured wine environment available, with the winepath program in $build's -# $PATH. Assumes ARG has no leading or trailing path separator characters. -# -# ARG is path to be converted from $build format to win32. -# Result is available in $func_convert_core_path_wine_to_w32_result. -# Unconvertible file (directory) names in ARG are skipped; if no directory names -# are convertible, then the result may be empty. -func_convert_core_path_wine_to_w32 () -{ - $debug_cmd - - # unfortunately, winepath doesn't convert paths, only file names - func_convert_core_path_wine_to_w32_result= - if test -n "$1"; then - oldIFS=$IFS - IFS=: - for func_convert_core_path_wine_to_w32_f in $1; do - IFS=$oldIFS - func_convert_core_file_wine_to_w32 "$func_convert_core_path_wine_to_w32_f" - if test -n "$func_convert_core_file_wine_to_w32_result"; then - if test -z "$func_convert_core_path_wine_to_w32_result"; then - func_convert_core_path_wine_to_w32_result=$func_convert_core_file_wine_to_w32_result - else - func_append func_convert_core_path_wine_to_w32_result ";$func_convert_core_file_wine_to_w32_result" - fi - fi - done - IFS=$oldIFS - fi -} -# end: func_convert_core_path_wine_to_w32 - - -# func_cygpath ARGS... -# Wrapper around calling the cygpath program via LT_CYGPATH. This is used when -# when (1) $build is *nix and Cygwin is hosted via a wine environment; or (2) -# $build is MSYS and $host is Cygwin, or (3) $build is Cygwin. In case (1) or -# (2), returns the Cygwin file name or path in func_cygpath_result (input -# file name or path is assumed to be in w32 format, as previously converted -# from $build's *nix or MSYS format). In case (3), returns the w32 file name -# or path in func_cygpath_result (input file name or path is assumed to be in -# Cygwin format). Returns an empty string on error. -# -# ARGS are passed to cygpath, with the last one being the file name or path to -# be converted. -# -# Specify the absolute *nix (or w32) name to cygpath in the LT_CYGPATH -# environment variable; do not put it in $PATH. -func_cygpath () -{ - $debug_cmd - - if test -n "$LT_CYGPATH" && test -f "$LT_CYGPATH"; then - func_cygpath_result=`$LT_CYGPATH "$@" 2>/dev/null` - if test "$?" -ne 0; then - # on failure, ensure result is empty - func_cygpath_result= - fi - else - func_cygpath_result= - func_error "LT_CYGPATH is empty or specifies non-existent file: '$LT_CYGPATH'" - fi -} -#end: func_cygpath - - -# func_convert_core_msys_to_w32 ARG -# Convert file name or path ARG from MSYS format to w32 format. Return -# result in func_convert_core_msys_to_w32_result. -func_convert_core_msys_to_w32 () -{ - $debug_cmd - - # awkward: cmd appends spaces to result - func_convert_core_msys_to_w32_result=`( cmd //c echo "$1" ) 2>/dev/null | - $SED -e 's/[ ]*$//' -e "$sed_naive_backslashify"` -} -#end: func_convert_core_msys_to_w32 - - -# func_convert_file_check ARG1 ARG2 -# Verify that ARG1 (a file name in $build format) was converted to $host -# format in ARG2. Otherwise, emit an error message, but continue (resetting -# func_to_host_file_result to ARG1). -func_convert_file_check () -{ - $debug_cmd - - if test -z "$2" && test -n "$1"; then - func_error "Could not determine host file name corresponding to" - func_error " '$1'" - func_error "Continuing, but uninstalled executables may not work." - # Fallback: - func_to_host_file_result=$1 - fi -} -# end func_convert_file_check - - -# func_convert_path_check FROM_PATHSEP TO_PATHSEP FROM_PATH TO_PATH -# Verify that FROM_PATH (a path in $build format) was converted to $host -# format in TO_PATH. Otherwise, emit an error message, but continue, resetting -# func_to_host_file_result to a simplistic fallback value (see below). -func_convert_path_check () -{ - $debug_cmd - - if test -z "$4" && test -n "$3"; then - func_error "Could not determine the host path corresponding to" - func_error " '$3'" - func_error "Continuing, but uninstalled executables may not work." - # Fallback. This is a deliberately simplistic "conversion" and - # should not be "improved". See libtool.info. - if test "x$1" != "x$2"; then - lt_replace_pathsep_chars="s|$1|$2|g" - func_to_host_path_result=`echo "$3" | - $SED -e "$lt_replace_pathsep_chars"` - else - func_to_host_path_result=$3 - fi - fi -} -# end func_convert_path_check - - -# func_convert_path_front_back_pathsep FRONTPAT BACKPAT REPL ORIG -# Modifies func_to_host_path_result by prepending REPL if ORIG matches FRONTPAT -# and appending REPL if ORIG matches BACKPAT. -func_convert_path_front_back_pathsep () -{ - $debug_cmd - - case $4 in - $1 ) func_to_host_path_result=$3$func_to_host_path_result - ;; - esac - case $4 in - $2 ) func_append func_to_host_path_result "$3" - ;; - esac -} -# end func_convert_path_front_back_pathsep - - -################################################## -# $build to $host FILE NAME CONVERSION FUNCTIONS # -################################################## -# invoked via '$to_host_file_cmd ARG' -# -# In each case, ARG is the path to be converted from $build to $host format. -# Result will be available in $func_to_host_file_result. - - -# func_to_host_file ARG -# Converts the file name ARG from $build format to $host format. Return result -# in func_to_host_file_result. -func_to_host_file () -{ - $debug_cmd - - $to_host_file_cmd "$1" -} -# end func_to_host_file - - -# func_to_tool_file ARG LAZY -# converts the file name ARG from $build format to toolchain format. Return -# result in func_to_tool_file_result. If the conversion in use is listed -# in (the comma separated) LAZY, no conversion takes place. -func_to_tool_file () -{ - $debug_cmd - - case ,$2, in - *,"$to_tool_file_cmd",*) - func_to_tool_file_result=$1 - ;; - *) - $to_tool_file_cmd "$1" - func_to_tool_file_result=$func_to_host_file_result - ;; - esac -} -# end func_to_tool_file - - -# func_convert_file_noop ARG -# Copy ARG to func_to_host_file_result. -func_convert_file_noop () -{ - func_to_host_file_result=$1 -} -# end func_convert_file_noop - - -# func_convert_file_msys_to_w32 ARG -# Convert file name ARG from (mingw) MSYS to (mingw) w32 format; automatic -# conversion to w32 is not available inside the cwrapper. Returns result in -# func_to_host_file_result. -func_convert_file_msys_to_w32 () -{ - $debug_cmd - - func_to_host_file_result=$1 - if test -n "$1"; then - func_convert_core_msys_to_w32 "$1" - func_to_host_file_result=$func_convert_core_msys_to_w32_result - fi - func_convert_file_check "$1" "$func_to_host_file_result" -} -# end func_convert_file_msys_to_w32 - - -# func_convert_file_cygwin_to_w32 ARG -# Convert file name ARG from Cygwin to w32 format. Returns result in -# func_to_host_file_result. -func_convert_file_cygwin_to_w32 () -{ - $debug_cmd - - func_to_host_file_result=$1 - if test -n "$1"; then - # because $build is cygwin, we call "the" cygpath in $PATH; no need to use - # LT_CYGPATH in this case. - func_to_host_file_result=`cygpath -m "$1"` - fi - func_convert_file_check "$1" "$func_to_host_file_result" -} -# end func_convert_file_cygwin_to_w32 - - -# func_convert_file_nix_to_w32 ARG -# Convert file name ARG from *nix to w32 format. Requires a wine environment -# and a working winepath. Returns result in func_to_host_file_result. -func_convert_file_nix_to_w32 () -{ - $debug_cmd - - func_to_host_file_result=$1 - if test -n "$1"; then - func_convert_core_file_wine_to_w32 "$1" - func_to_host_file_result=$func_convert_core_file_wine_to_w32_result - fi - func_convert_file_check "$1" "$func_to_host_file_result" -} -# end func_convert_file_nix_to_w32 - - -# func_convert_file_msys_to_cygwin ARG -# Convert file name ARG from MSYS to Cygwin format. Requires LT_CYGPATH set. -# Returns result in func_to_host_file_result. -func_convert_file_msys_to_cygwin () -{ - $debug_cmd - - func_to_host_file_result=$1 - if test -n "$1"; then - func_convert_core_msys_to_w32 "$1" - func_cygpath -u "$func_convert_core_msys_to_w32_result" - func_to_host_file_result=$func_cygpath_result - fi - func_convert_file_check "$1" "$func_to_host_file_result" -} -# end func_convert_file_msys_to_cygwin - - -# func_convert_file_nix_to_cygwin ARG -# Convert file name ARG from *nix to Cygwin format. Requires Cygwin installed -# in a wine environment, working winepath, and LT_CYGPATH set. Returns result -# in func_to_host_file_result. -func_convert_file_nix_to_cygwin () -{ - $debug_cmd - - func_to_host_file_result=$1 - if test -n "$1"; then - # convert from *nix to w32, then use cygpath to convert from w32 to cygwin. - func_convert_core_file_wine_to_w32 "$1" - func_cygpath -u "$func_convert_core_file_wine_to_w32_result" - func_to_host_file_result=$func_cygpath_result - fi - func_convert_file_check "$1" "$func_to_host_file_result" -} -# end func_convert_file_nix_to_cygwin - - -############################################# -# $build to $host PATH CONVERSION FUNCTIONS # -############################################# -# invoked via '$to_host_path_cmd ARG' -# -# In each case, ARG is the path to be converted from $build to $host format. -# The result will be available in $func_to_host_path_result. -# -# Path separators are also converted from $build format to $host format. If -# ARG begins or ends with a path separator character, it is preserved (but -# converted to $host format) on output. -# -# All path conversion functions are named using the following convention: -# file name conversion function : func_convert_file_X_to_Y () -# path conversion function : func_convert_path_X_to_Y () -# where, for any given $build/$host combination the 'X_to_Y' value is the -# same. If conversion functions are added for new $build/$host combinations, -# the two new functions must follow this pattern, or func_init_to_host_path_cmd -# will break. - - -# func_init_to_host_path_cmd -# Ensures that function "pointer" variable $to_host_path_cmd is set to the -# appropriate value, based on the value of $to_host_file_cmd. -to_host_path_cmd= -func_init_to_host_path_cmd () -{ - $debug_cmd - - if test -z "$to_host_path_cmd"; then - func_stripname 'func_convert_file_' '' "$to_host_file_cmd" - to_host_path_cmd=func_convert_path_$func_stripname_result - fi -} - - -# func_to_host_path ARG -# Converts the path ARG from $build format to $host format. Return result -# in func_to_host_path_result. -func_to_host_path () -{ - $debug_cmd - - func_init_to_host_path_cmd - $to_host_path_cmd "$1" -} -# end func_to_host_path - - -# func_convert_path_noop ARG -# Copy ARG to func_to_host_path_result. -func_convert_path_noop () -{ - func_to_host_path_result=$1 -} -# end func_convert_path_noop - - -# func_convert_path_msys_to_w32 ARG -# Convert path ARG from (mingw) MSYS to (mingw) w32 format; automatic -# conversion to w32 is not available inside the cwrapper. Returns result in -# func_to_host_path_result. -func_convert_path_msys_to_w32 () -{ - $debug_cmd - - func_to_host_path_result=$1 - if test -n "$1"; then - # Remove leading and trailing path separator characters from ARG. MSYS - # behavior is inconsistent here; cygpath turns them into '.;' and ';.'; - # and winepath ignores them completely. - func_stripname : : "$1" - func_to_host_path_tmp1=$func_stripname_result - func_convert_core_msys_to_w32 "$func_to_host_path_tmp1" - func_to_host_path_result=$func_convert_core_msys_to_w32_result - func_convert_path_check : ";" \ - "$func_to_host_path_tmp1" "$func_to_host_path_result" - func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" - fi -} -# end func_convert_path_msys_to_w32 - - -# func_convert_path_cygwin_to_w32 ARG -# Convert path ARG from Cygwin to w32 format. Returns result in -# func_to_host_file_result. -func_convert_path_cygwin_to_w32 () -{ - $debug_cmd - - func_to_host_path_result=$1 - if test -n "$1"; then - # See func_convert_path_msys_to_w32: - func_stripname : : "$1" - func_to_host_path_tmp1=$func_stripname_result - func_to_host_path_result=`cygpath -m -p "$func_to_host_path_tmp1"` - func_convert_path_check : ";" \ - "$func_to_host_path_tmp1" "$func_to_host_path_result" - func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" - fi -} -# end func_convert_path_cygwin_to_w32 - - -# func_convert_path_nix_to_w32 ARG -# Convert path ARG from *nix to w32 format. Requires a wine environment and -# a working winepath. Returns result in func_to_host_file_result. -func_convert_path_nix_to_w32 () -{ - $debug_cmd - - func_to_host_path_result=$1 - if test -n "$1"; then - # See func_convert_path_msys_to_w32: - func_stripname : : "$1" - func_to_host_path_tmp1=$func_stripname_result - func_convert_core_path_wine_to_w32 "$func_to_host_path_tmp1" - func_to_host_path_result=$func_convert_core_path_wine_to_w32_result - func_convert_path_check : ";" \ - "$func_to_host_path_tmp1" "$func_to_host_path_result" - func_convert_path_front_back_pathsep ":*" "*:" ";" "$1" - fi -} -# end func_convert_path_nix_to_w32 - - -# func_convert_path_msys_to_cygwin ARG -# Convert path ARG from MSYS to Cygwin format. Requires LT_CYGPATH set. -# Returns result in func_to_host_file_result. -func_convert_path_msys_to_cygwin () -{ - $debug_cmd - - func_to_host_path_result=$1 - if test -n "$1"; then - # See func_convert_path_msys_to_w32: - func_stripname : : "$1" - func_to_host_path_tmp1=$func_stripname_result - func_convert_core_msys_to_w32 "$func_to_host_path_tmp1" - func_cygpath -u -p "$func_convert_core_msys_to_w32_result" - func_to_host_path_result=$func_cygpath_result - func_convert_path_check : : \ - "$func_to_host_path_tmp1" "$func_to_host_path_result" - func_convert_path_front_back_pathsep ":*" "*:" : "$1" - fi -} -# end func_convert_path_msys_to_cygwin - - -# func_convert_path_nix_to_cygwin ARG -# Convert path ARG from *nix to Cygwin format. Requires Cygwin installed in a -# a wine environment, working winepath, and LT_CYGPATH set. Returns result in -# func_to_host_file_result. -func_convert_path_nix_to_cygwin () -{ - $debug_cmd - - func_to_host_path_result=$1 - if test -n "$1"; then - # Remove leading and trailing path separator characters from - # ARG. msys behavior is inconsistent here, cygpath turns them - # into '.;' and ';.', and winepath ignores them completely. - func_stripname : : "$1" - func_to_host_path_tmp1=$func_stripname_result - func_convert_core_path_wine_to_w32 "$func_to_host_path_tmp1" - func_cygpath -u -p "$func_convert_core_path_wine_to_w32_result" - func_to_host_path_result=$func_cygpath_result - func_convert_path_check : : \ - "$func_to_host_path_tmp1" "$func_to_host_path_result" - func_convert_path_front_back_pathsep ":*" "*:" : "$1" - fi -} -# end func_convert_path_nix_to_cygwin - - -# func_dll_def_p FILE -# True iff FILE is a Windows DLL '.def' file. -# Keep in sync with _LT_DLL_DEF_P in libtool.m4 -func_dll_def_p () -{ - $debug_cmd - - func_dll_def_p_tmp=`$SED -n \ - -e 's/^[ ]*//' \ - -e '/^\(;.*\)*$/d' \ - -e 's/^\(EXPORTS\|LIBRARY\)\([ ].*\)*$/DEF/p' \ - -e q \ - "$1"` - test DEF = "$func_dll_def_p_tmp" -} - - -# func_mode_compile arg... -func_mode_compile () -{ - $debug_cmd - - # Get the compilation command and the source file. - base_compile= - srcfile=$nonopt # always keep a non-empty value in "srcfile" - suppress_opt=yes - suppress_output= - arg_mode=normal - libobj= - later= - pie_flag= - - for arg - do - case $arg_mode in - arg ) - # do not "continue". Instead, add this to base_compile - lastarg=$arg - arg_mode=normal - ;; - - target ) - libobj=$arg - arg_mode=normal - continue - ;; - - normal ) - # Accept any command-line options. - case $arg in - -o) - test -n "$libobj" && \ - func_fatal_error "you cannot specify '-o' more than once" - arg_mode=target - continue - ;; - - -pie | -fpie | -fPIE) - func_append pie_flag " $arg" - continue - ;; - - -shared | -static | -prefer-pic | -prefer-non-pic) - func_append later " $arg" - continue - ;; - - -no-suppress) - suppress_opt=no - continue - ;; - - -Xcompiler) - arg_mode=arg # the next one goes into the "base_compile" arg list - continue # The current "srcfile" will either be retained or - ;; # replaced later. I would guess that would be a bug. - - -Wc,*) - func_stripname '-Wc,' '' "$arg" - args=$func_stripname_result - lastarg= - save_ifs=$IFS; IFS=, - for arg in $args; do - IFS=$save_ifs - func_append_quoted lastarg "$arg" - done - IFS=$save_ifs - func_stripname ' ' '' "$lastarg" - lastarg=$func_stripname_result - - # Add the arguments to base_compile. - func_append base_compile " $lastarg" - continue - ;; - - *) - # Accept the current argument as the source file. - # The previous "srcfile" becomes the current argument. - # - lastarg=$srcfile - srcfile=$arg - ;; - esac # case $arg - ;; - esac # case $arg_mode - - # Aesthetically quote the previous argument. - func_append_quoted base_compile "$lastarg" - done # for arg - - case $arg_mode in - arg) - func_fatal_error "you must specify an argument for -Xcompile" - ;; - target) - func_fatal_error "you must specify a target with '-o'" - ;; - *) - # Get the name of the library object. - test -z "$libobj" && { - func_basename "$srcfile" - libobj=$func_basename_result - } - ;; - esac - - # Recognize several different file suffixes. - # If the user specifies -o file.o, it is replaced with file.lo - case $libobj in - *.[cCFSifmso] | \ - *.ada | *.adb | *.ads | *.asm | \ - *.c++ | *.cc | *.ii | *.class | *.cpp | *.cxx | \ - *.[fF][09]? | *.for | *.java | *.go | *.obj | *.sx | *.cu | *.cup) - func_xform "$libobj" - libobj=$func_xform_result - ;; - esac - - case $libobj in - *.lo) func_lo2o "$libobj"; obj=$func_lo2o_result ;; - *) - func_fatal_error "cannot determine name of library object from '$libobj'" - ;; - esac - - func_infer_tag $base_compile - - for arg in $later; do - case $arg in - -shared) - test yes = "$build_libtool_libs" \ - || func_fatal_configuration "cannot build a shared library" - build_old_libs=no - continue - ;; - - -static) - build_libtool_libs=no - build_old_libs=yes - continue - ;; - - -prefer-pic) - pic_mode=yes - continue - ;; - - -prefer-non-pic) - pic_mode=no - continue - ;; - esac - done - - func_quote_for_eval "$libobj" - test "X$libobj" != "X$func_quote_for_eval_result" \ - && $ECHO "X$libobj" | $GREP '[]~#^*{};<>?"'"'"' &()|`$[]' \ - && func_warning "libobj name '$libobj' may not contain shell special characters." - func_dirname_and_basename "$obj" "/" "" - objname=$func_basename_result - xdir=$func_dirname_result - lobj=$xdir$objdir/$objname - - test -z "$base_compile" && \ - func_fatal_help "you must specify a compilation command" - - # Delete any leftover library objects. - if test yes = "$build_old_libs"; then - removelist="$obj $lobj $libobj ${libobj}T" - else - removelist="$lobj $libobj ${libobj}T" - fi - - # On Cygwin there's no "real" PIC flag so we must build both object types - case $host_os in - cygwin* | mingw* | pw32* | os2* | cegcc*) - pic_mode=default - ;; - esac - if test no = "$pic_mode" && test pass_all != "$deplibs_check_method"; then - # non-PIC code in shared libraries is not supported - pic_mode=default - fi - - # Calculate the filename of the output object if compiler does - # not support -o with -c - if test no = "$compiler_c_o"; then - output_obj=`$ECHO "$srcfile" | $SED 's%^.*/%%; s%\.[^.]*$%%'`.$objext - lockfile=$output_obj.lock - else - output_obj= - need_locks=no - lockfile= - fi - - # Lock this critical section if it is needed - # We use this script file to make the link, it avoids creating a new file - if test yes = "$need_locks"; then - until $opt_dry_run || ln "$progpath" "$lockfile" 2>/dev/null; do - func_echo "Waiting for $lockfile to be removed" - sleep 2 - done - elif test warn = "$need_locks"; then - if test -f "$lockfile"; then - $ECHO "\ -*** ERROR, $lockfile exists and contains: -`cat $lockfile 2>/dev/null` - -This indicates that another process is trying to use the same -temporary object file, and libtool could not work around it because -your compiler does not support '-c' and '-o' together. If you -repeat this compilation, it may succeed, by chance, but you had better -avoid parallel builds (make -j) in this platform, or get a better -compiler." - - $opt_dry_run || $RM $removelist - exit $EXIT_FAILURE - fi - func_append removelist " $output_obj" - $ECHO "$srcfile" > "$lockfile" - fi - - $opt_dry_run || $RM $removelist - func_append removelist " $lockfile" - trap '$opt_dry_run || $RM $removelist; exit $EXIT_FAILURE' 1 2 15 - - func_to_tool_file "$srcfile" func_convert_file_msys_to_w32 - srcfile=$func_to_tool_file_result - func_quote_for_eval "$srcfile" - qsrcfile=$func_quote_for_eval_result - - # Only build a PIC object if we are building libtool libraries. - if test yes = "$build_libtool_libs"; then - # Without this assignment, base_compile gets emptied. - fbsd_hideous_sh_bug=$base_compile - - if test no != "$pic_mode"; then - command="$base_compile $qsrcfile $pic_flag" - else - # Don't build PIC code - command="$base_compile $qsrcfile" - fi - - func_mkdir_p "$xdir$objdir" - - if test -z "$output_obj"; then - # Place PIC objects in $objdir - func_append command " -o $lobj" - fi - - func_show_eval_locale "$command" \ - 'test -n "$output_obj" && $RM $removelist; exit $EXIT_FAILURE' - - if test warn = "$need_locks" && - test "X`cat $lockfile 2>/dev/null`" != "X$srcfile"; then - $ECHO "\ -*** ERROR, $lockfile contains: -`cat $lockfile 2>/dev/null` - -but it should contain: -$srcfile - -This indicates that another process is trying to use the same -temporary object file, and libtool could not work around it because -your compiler does not support '-c' and '-o' together. If you -repeat this compilation, it may succeed, by chance, but you had better -avoid parallel builds (make -j) in this platform, or get a better -compiler." - - $opt_dry_run || $RM $removelist - exit $EXIT_FAILURE - fi - - # Just move the object if needed, then go on to compile the next one - if test -n "$output_obj" && test "X$output_obj" != "X$lobj"; then - func_show_eval '$MV "$output_obj" "$lobj"' \ - 'error=$?; $opt_dry_run || $RM $removelist; exit $error' - fi - - # Allow error messages only from the first compilation. - if test yes = "$suppress_opt"; then - suppress_output=' >/dev/null 2>&1' - fi - fi - - # Only build a position-dependent object if we build old libraries. - if test yes = "$build_old_libs"; then - if test yes != "$pic_mode"; then - # Don't build PIC code - command="$base_compile $qsrcfile$pie_flag" - else - command="$base_compile $qsrcfile $pic_flag" - fi - if test yes = "$compiler_c_o"; then - func_append command " -o $obj" - fi - - # Suppress compiler output if we already did a PIC compilation. - func_append command "$suppress_output" - func_show_eval_locale "$command" \ - '$opt_dry_run || $RM $removelist; exit $EXIT_FAILURE' - - if test warn = "$need_locks" && - test "X`cat $lockfile 2>/dev/null`" != "X$srcfile"; then - $ECHO "\ -*** ERROR, $lockfile contains: -`cat $lockfile 2>/dev/null` - -but it should contain: -$srcfile - -This indicates that another process is trying to use the same -temporary object file, and libtool could not work around it because -your compiler does not support '-c' and '-o' together. If you -repeat this compilation, it may succeed, by chance, but you had better -avoid parallel builds (make -j) in this platform, or get a better -compiler." - - $opt_dry_run || $RM $removelist - exit $EXIT_FAILURE - fi - - # Just move the object if needed - if test -n "$output_obj" && test "X$output_obj" != "X$obj"; then - func_show_eval '$MV "$output_obj" "$obj"' \ - 'error=$?; $opt_dry_run || $RM $removelist; exit $error' - fi - fi - - $opt_dry_run || { - func_write_libtool_object "$libobj" "$objdir/$objname" "$objname" - - # Unlock the critical section if it was locked - if test no != "$need_locks"; then - removelist=$lockfile - $RM "$lockfile" - fi - } - - exit $EXIT_SUCCESS -} - -$opt_help || { - test compile = "$opt_mode" && func_mode_compile ${1+"$@"} -} - -func_mode_help () -{ - # We need to display help for each of the modes. - case $opt_mode in - "") - # Generic help is extracted from the usage comments - # at the start of this file. - func_help - ;; - - clean) - $ECHO \ -"Usage: $progname [OPTION]... --mode=clean RM [RM-OPTION]... FILE... - -Remove files from the build directory. - -RM is the name of the program to use to delete files associated with each FILE -(typically '/bin/rm'). RM-OPTIONS are options (such as '-f') to be passed -to RM. - -If FILE is a libtool library, object or program, all the files associated -with it are deleted. Otherwise, only FILE itself is deleted using RM." - ;; - - compile) - $ECHO \ -"Usage: $progname [OPTION]... --mode=compile COMPILE-COMMAND... 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Files ending in '.la' are -treated as uninstalled libtool libraries, other files are standard or library -object files. - -If the OUTPUT-FILE ends in '.la', then a libtool library is created, -only library objects ('.lo' files) may be specified, and '-rpath' is -required, except when creating a convenience library. - -If OUTPUT-FILE ends in '.a' or '.lib', then a standard library is created -using 'ar' and 'ranlib', or on Windows using 'lib'. - -If OUTPUT-FILE ends in '.lo' or '.$objext', then a reloadable object file -is created, otherwise an executable program is created." - ;; - - uninstall) - $ECHO \ -"Usage: $progname [OPTION]... --mode=uninstall RM [RM-OPTION]... FILE... - -Remove libraries from an installation directory. - -RM is the name of the program to use to delete files associated with each FILE -(typically '/bin/rm'). RM-OPTIONS are options (such as '-f') to be passed -to RM. - -If FILE is a libtool library, all the files associated with it are deleted. -Otherwise, only FILE itself is deleted using RM." - ;; - - *) - func_fatal_help "invalid operation mode '$opt_mode'" - ;; - esac - - echo - $ECHO "Try '$progname --help' for more information about other modes." -} - -# Now that we've collected a possible --mode arg, show help if necessary -if $opt_help; then - if test : = "$opt_help"; then - func_mode_help - else - { - func_help noexit - for opt_mode in compile link execute install finish uninstall clean; do - func_mode_help - done - } | $SED -n '1p; 2,$s/^Usage:/ or: /p' - { - func_help noexit - for opt_mode in compile link execute install finish uninstall clean; do - echo - func_mode_help - done - } | - $SED '1d - /^When reporting/,/^Report/{ - H - d - } - $x - /information about other modes/d - /more detailed .*MODE/d - s/^Usage:.*--mode=\([^ ]*\) .*/Description of \1 mode:/' - fi - exit $? -fi - - -# func_mode_execute arg... -func_mode_execute () -{ - $debug_cmd - - # The first argument is the command name. - cmd=$nonopt - test -z "$cmd" && \ - func_fatal_help "you must specify a COMMAND" - - # Handle -dlopen flags immediately. - for file in $opt_dlopen; do - test -f "$file" \ - || func_fatal_help "'$file' is not a file" - - dir= - case $file in - *.la) - func_resolve_sysroot "$file" - file=$func_resolve_sysroot_result - - # Check to see that this really is a libtool archive. - func_lalib_unsafe_p "$file" \ - || func_fatal_help "'$lib' is not a valid libtool archive" - - # Read the libtool library. - dlname= - library_names= - func_source "$file" - - # Skip this library if it cannot be dlopened. - if test -z "$dlname"; then - # Warn if it was a shared library. - test -n "$library_names" && \ - func_warning "'$file' was not linked with '-export-dynamic'" - continue - fi - - func_dirname "$file" "" "." - dir=$func_dirname_result - - if test -f "$dir/$objdir/$dlname"; then - func_append dir "/$objdir" - else - if test ! -f "$dir/$dlname"; then - func_fatal_error "cannot find '$dlname' in '$dir' or '$dir/$objdir'" - fi - fi - ;; - - *.lo) - # Just add the directory containing the .lo file. - func_dirname "$file" "" "." - dir=$func_dirname_result - ;; - - *) - func_warning "'-dlopen' is ignored for non-libtool libraries and objects" - continue - ;; - esac - - # Get the absolute pathname. - absdir=`cd "$dir" && pwd` - test -n "$absdir" && dir=$absdir - - # Now add the directory to shlibpath_var. - if eval "test -z \"\$$shlibpath_var\""; then - eval "$shlibpath_var=\"\$dir\"" - else - eval "$shlibpath_var=\"\$dir:\$$shlibpath_var\"" - fi - done - - # This variable tells wrapper scripts just to set shlibpath_var - # rather than running their programs. - libtool_execute_magic=$magic - - # Check if any of the arguments is a wrapper script. - args= - for file - do - case $file in - -* | *.la | *.lo ) ;; - *) - # Do a test to see if this is really a libtool program. - if func_ltwrapper_script_p "$file"; then - func_source "$file" - # Transform arg to wrapped name. - file=$progdir/$program - elif func_ltwrapper_executable_p "$file"; then - func_ltwrapper_scriptname "$file" - func_source "$func_ltwrapper_scriptname_result" - # Transform arg to wrapped name. - file=$progdir/$program - fi - ;; - esac - # Quote arguments (to preserve shell metacharacters). - func_append_quoted args "$file" - done - - if $opt_dry_run; then - # Display what would be done. - if test -n "$shlibpath_var"; then - eval "\$ECHO \"\$shlibpath_var=\$$shlibpath_var\"" - echo "export $shlibpath_var" - fi - $ECHO "$cmd$args" - exit $EXIT_SUCCESS - else - if test -n "$shlibpath_var"; then - # Export the shlibpath_var. - eval "export $shlibpath_var" - fi - - # Restore saved environment variables - for lt_var in LANG LANGUAGE LC_ALL LC_CTYPE LC_COLLATE LC_MESSAGES - do - eval "if test \"\${save_$lt_var+set}\" = set; then - $lt_var=\$save_$lt_var; export $lt_var - else - $lt_unset $lt_var - fi" - done - - # Now prepare to actually exec the command. - exec_cmd=\$cmd$args - fi -} - -test execute = "$opt_mode" && func_mode_execute ${1+"$@"} - - -# func_mode_finish arg... -func_mode_finish () -{ - $debug_cmd - - libs= - libdirs= - admincmds= - - for opt in "$nonopt" ${1+"$@"} - do - if test -d "$opt"; then - func_append libdirs " $opt" - - elif test -f "$opt"; then - if func_lalib_unsafe_p "$opt"; then - func_append libs " $opt" - else - func_warning "'$opt' is not a valid libtool archive" - fi - - else - func_fatal_error "invalid argument '$opt'" - fi - done - - if test -n "$libs"; then - if test -n "$lt_sysroot"; then - sysroot_regex=`$ECHO "$lt_sysroot" | $SED "$sed_make_literal_regex"` - sysroot_cmd="s/\([ ']\)$sysroot_regex/\1/g;" - else - sysroot_cmd= - fi - - # Remove sysroot references - if $opt_dry_run; then - for lib in $libs; do - echo "removing references to $lt_sysroot and '=' prefixes from $lib" - done - else - tmpdir=`func_mktempdir` - for lib in $libs; do - $SED -e "$sysroot_cmd s/\([ ']-[LR]\)=/\1/g; s/\([ ']\)=/\1/g" $lib \ - > $tmpdir/tmp-la - mv -f $tmpdir/tmp-la $lib - done - ${RM}r "$tmpdir" - fi - fi - - if test -n "$finish_cmds$finish_eval" && test -n "$libdirs"; then - for libdir in $libdirs; do - if test -n "$finish_cmds"; then - # Do each command in the finish commands. - func_execute_cmds "$finish_cmds" 'admincmds="$admincmds -'"$cmd"'"' - fi - if test -n "$finish_eval"; then - # Do the single finish_eval. - eval cmds=\"$finish_eval\" - $opt_dry_run || eval "$cmds" || func_append admincmds " - $cmds" - fi - done - fi - - # Exit here if they wanted silent mode. - $opt_quiet && exit $EXIT_SUCCESS - - if test -n "$finish_cmds$finish_eval" && test -n "$libdirs"; then - echo "----------------------------------------------------------------------" - echo "Libraries have been installed in:" - for libdir in $libdirs; do - $ECHO " $libdir" - done - echo - echo "If you ever happen to want to link against installed libraries" - echo "in a given directory, LIBDIR, you must either use libtool, and" - echo "specify the full pathname of the library, or use the '-LLIBDIR'" - echo "flag during linking and do at least one of the following:" - if test -n "$shlibpath_var"; then - echo " - add LIBDIR to the '$shlibpath_var' environment variable" - echo " during execution" - fi - if test -n "$runpath_var"; then - echo " - add LIBDIR to the '$runpath_var' environment variable" - echo " during linking" - fi - if test -n "$hardcode_libdir_flag_spec"; then - libdir=LIBDIR - eval flag=\"$hardcode_libdir_flag_spec\" - - $ECHO " - use the '$flag' linker flag" - fi - if test -n "$admincmds"; then - $ECHO " - have your system administrator run these commands:$admincmds" - fi - if test -f /etc/ld.so.conf; then - echo " - have your system administrator add LIBDIR to '/etc/ld.so.conf'" - fi - echo - - echo "See any operating system documentation about shared libraries for" - case $host in - solaris2.[6789]|solaris2.1[0-9]) - echo "more information, such as the ld(1), crle(1) and ld.so(8) manual" - echo "pages." - ;; - *) - echo "more information, such as the ld(1) and ld.so(8) manual pages." - ;; - esac - echo "----------------------------------------------------------------------" - fi - exit $EXIT_SUCCESS -} - -test finish = "$opt_mode" && func_mode_finish ${1+"$@"} - - -# func_mode_install arg... -func_mode_install () -{ - $debug_cmd - - # There may be an optional sh(1) argument at the beginning of - # install_prog (especially on Windows NT). - if test "$SHELL" = "$nonopt" || test /bin/sh = "$nonopt" || - # Allow the use of GNU shtool's install command. - case $nonopt in *shtool*) :;; *) false;; esac - then - # Aesthetically quote it. - func_quote_for_eval "$nonopt" - install_prog="$func_quote_for_eval_result " - arg=$1 - shift - else - install_prog= - arg=$nonopt - fi - - # The real first argument should be the name of the installation program. - # Aesthetically quote it. - func_quote_for_eval "$arg" - func_append install_prog "$func_quote_for_eval_result" - install_shared_prog=$install_prog - case " $install_prog " in - *[\\\ /]cp\ *) install_cp=: ;; - *) install_cp=false ;; - esac - - # We need to accept at least all the BSD install flags. - dest= - files= - opts= - prev= - install_type= - isdir=false - stripme= - no_mode=: - for arg - do - arg2= - if test -n "$dest"; then - func_append files " $dest" - dest=$arg - continue - fi - - case $arg in - -d) isdir=: ;; - -f) - if $install_cp; then :; else - prev=$arg - fi - ;; - -g | -m | -o) - prev=$arg - ;; - -s) - stripme=" -s" - continue - ;; - -*) - ;; - *) - # If the previous option needed an argument, then skip it. - if test -n "$prev"; then - if test X-m = "X$prev" && test -n "$install_override_mode"; then - arg2=$install_override_mode - no_mode=false - fi - prev= - else - dest=$arg - continue - fi - ;; - esac - - # Aesthetically quote the argument. - func_quote_for_eval "$arg" - func_append install_prog " $func_quote_for_eval_result" - if test -n "$arg2"; then - func_quote_for_eval "$arg2" - fi - func_append install_shared_prog " $func_quote_for_eval_result" - done - - test -z "$install_prog" && \ - func_fatal_help "you must specify an install program" - - test -n "$prev" && \ - func_fatal_help "the '$prev' option requires an argument" - - if test -n "$install_override_mode" && $no_mode; then - if $install_cp; then :; else - func_quote_for_eval "$install_override_mode" - func_append install_shared_prog " -m $func_quote_for_eval_result" - fi - fi - - if test -z "$files"; then - if test -z "$dest"; then - func_fatal_help "no file or destination specified" - else - func_fatal_help "you must specify a destination" - fi - fi - - # Strip any trailing slash from the destination. - func_stripname '' '/' "$dest" - dest=$func_stripname_result - - # Check to see that the destination is a directory. - test -d "$dest" && isdir=: - if $isdir; then - destdir=$dest - destname= - else - func_dirname_and_basename "$dest" "" "." - destdir=$func_dirname_result - destname=$func_basename_result - - # Not a directory, so check to see that there is only one file specified. - set dummy $files; shift - test "$#" -gt 1 && \ - func_fatal_help "'$dest' is not a directory" - fi - case $destdir in - [\\/]* | [A-Za-z]:[\\/]*) ;; - *) - for file in $files; do - case $file in - *.lo) ;; - *) - func_fatal_help "'$destdir' must be an absolute directory name" - ;; - esac - done - ;; - esac - - # This variable tells wrapper scripts just to set variables rather - # than running their programs. - libtool_install_magic=$magic - - staticlibs= - future_libdirs= - current_libdirs= - for file in $files; do - - # Do each installation. - case $file in - *.$libext) - # Do the static libraries later. - func_append staticlibs " $file" - ;; - - *.la) - func_resolve_sysroot "$file" - file=$func_resolve_sysroot_result - - # Check to see that this really is a libtool archive. - func_lalib_unsafe_p "$file" \ - || func_fatal_help "'$file' is not a valid libtool archive" - - library_names= - old_library= - relink_command= - func_source "$file" - - # Add the libdir to current_libdirs if it is the destination. - if test "X$destdir" = "X$libdir"; then - case "$current_libdirs " in - *" $libdir "*) ;; - *) func_append current_libdirs " $libdir" ;; - esac - else - # Note the libdir as a future libdir. - case "$future_libdirs " in - *" $libdir "*) ;; - *) func_append future_libdirs " $libdir" ;; - esac - fi - - func_dirname "$file" "/" "" - dir=$func_dirname_result - func_append dir "$objdir" - - if test -n "$relink_command"; then - # Determine the prefix the user has applied to our future dir. - inst_prefix_dir=`$ECHO "$destdir" | $SED -e "s%$libdir\$%%"` - - # Don't allow the user to place us outside of our expected - # location b/c this prevents finding dependent libraries that - # are installed to the same prefix. - # At present, this check doesn't affect windows .dll's that - # are installed into $libdir/../bin (currently, that works fine) - # but it's something to keep an eye on. - test "$inst_prefix_dir" = "$destdir" && \ - func_fatal_error "error: cannot install '$file' to a directory not ending in $libdir" - - if test -n "$inst_prefix_dir"; then - # Stick the inst_prefix_dir data into the link command. - relink_command=`$ECHO "$relink_command" | $SED "s%@inst_prefix_dir@%-inst-prefix-dir $inst_prefix_dir%"` - else - relink_command=`$ECHO "$relink_command" | $SED "s%@inst_prefix_dir@%%"` - fi - - func_warning "relinking '$file'" - func_show_eval "$relink_command" \ - 'func_fatal_error "error: relink '\''$file'\'' with the above command before installing it"' - fi - - # See the names of the shared library. - set dummy $library_names; shift - if test -n "$1"; then - realname=$1 - shift - - srcname=$realname - test -n "$relink_command" && srcname=${realname}T - - # Install the shared library and build the symlinks. - func_show_eval "$install_shared_prog $dir/$srcname $destdir/$realname" \ - 'exit $?' - tstripme=$stripme - case $host_os in - cygwin* | mingw* | pw32* | cegcc*) - case $realname in - *.dll.a) - tstripme= - ;; - esac - ;; - os2*) - case $realname in - *_dll.a) - tstripme= - ;; - esac - ;; - esac - if test -n "$tstripme" && test -n "$striplib"; then - func_show_eval "$striplib $destdir/$realname" 'exit $?' - fi - - if test "$#" -gt 0; then - # Delete the old symlinks, and create new ones. - # Try 'ln -sf' first, because the 'ln' binary might depend on - # the symlink we replace! Solaris /bin/ln does not understand -f, - # so we also need to try rm && ln -s. - for linkname - do - test "$linkname" != "$realname" \ - && func_show_eval "(cd $destdir && { $LN_S -f $realname $linkname || { $RM $linkname && $LN_S $realname $linkname; }; })" - done - fi - - # Do each command in the postinstall commands. - lib=$destdir/$realname - func_execute_cmds "$postinstall_cmds" 'exit $?' - fi - - # Install the pseudo-library for information purposes. - func_basename "$file" - name=$func_basename_result - instname=$dir/${name}i - func_show_eval "$install_prog $instname $destdir/$name" 'exit $?' - - # Maybe install the static library, too. - test -n "$old_library" && func_append staticlibs " $dir/$old_library" - ;; - - *.lo) - # Install (i.e. copy) a libtool object. - - # Figure out destination file name, if it wasn't already specified. - if test -n "$destname"; then - destfile=$destdir/$destname - else - func_basename "$file" - destfile=$func_basename_result - destfile=$destdir/$destfile - fi - - # Deduce the name of the destination old-style object file. - case $destfile in - *.lo) - func_lo2o "$destfile" - staticdest=$func_lo2o_result - ;; - *.$objext) - staticdest=$destfile - destfile= - ;; - *) - func_fatal_help "cannot copy a libtool object to '$destfile'" - ;; - esac - - # Install the libtool object if requested. - test -n "$destfile" && \ - func_show_eval "$install_prog $file $destfile" 'exit $?' - - # Install the old object if enabled. - if test yes = "$build_old_libs"; then - # Deduce the name of the old-style object file. - func_lo2o "$file" - staticobj=$func_lo2o_result - func_show_eval "$install_prog \$staticobj \$staticdest" 'exit $?' - fi - exit $EXIT_SUCCESS - ;; - - *) - # Figure out destination file name, if it wasn't already specified. - if test -n "$destname"; then - destfile=$destdir/$destname - else - func_basename "$file" - destfile=$func_basename_result - destfile=$destdir/$destfile - fi - - # If the file is missing, and there is a .exe on the end, strip it - # because it is most likely a libtool script we actually want to - # install - stripped_ext= - case $file in - *.exe) - if test ! -f "$file"; then - func_stripname '' '.exe' "$file" - file=$func_stripname_result - stripped_ext=.exe - fi - ;; - esac - - # Do a test to see if this is really a libtool program. - case $host in - *cygwin* | *mingw*) - if func_ltwrapper_executable_p "$file"; then - func_ltwrapper_scriptname "$file" - wrapper=$func_ltwrapper_scriptname_result - else - func_stripname '' '.exe' "$file" - wrapper=$func_stripname_result - fi - ;; - *) - wrapper=$file - ;; - esac - if func_ltwrapper_script_p "$wrapper"; then - notinst_deplibs= - relink_command= - - func_source "$wrapper" - - # Check the variables that should have been set. - test -z "$generated_by_libtool_version" && \ - func_fatal_error "invalid libtool wrapper script '$wrapper'" - - finalize=: - for lib in $notinst_deplibs; do - # Check to see that each library is installed. - libdir= - if test -f "$lib"; then - func_source "$lib" - fi - libfile=$libdir/`$ECHO "$lib" | $SED 's%^.*/%%g'` - if test -n "$libdir" && test ! -f "$libfile"; then - func_warning "'$lib' has not been installed in '$libdir'" - finalize=false - fi - done - - relink_command= - func_source "$wrapper" - - outputname= - if test no = "$fast_install" && test -n "$relink_command"; then - $opt_dry_run || { - if $finalize; then - tmpdir=`func_mktempdir` - func_basename "$file$stripped_ext" - file=$func_basename_result - outputname=$tmpdir/$file - # Replace the output file specification. - relink_command=`$ECHO "$relink_command" | $SED 's%@OUTPUT@%'"$outputname"'%g'` - - $opt_quiet || { - func_quote_for_expand "$relink_command" - eval "func_echo $func_quote_for_expand_result" - } - if eval "$relink_command"; then : - else - func_error "error: relink '$file' with the above command before installing it" - $opt_dry_run || ${RM}r "$tmpdir" - continue - fi - file=$outputname - else - func_warning "cannot relink '$file'" - fi - } - else - # Install the binary that we compiled earlier. - file=`$ECHO "$file$stripped_ext" | $SED "s%\([^/]*\)$%$objdir/\1%"` - fi - fi - - # remove .exe since cygwin /usr/bin/install will append another - # one anyway - case $install_prog,$host in - */usr/bin/install*,*cygwin*) - case $file:$destfile in - *.exe:*.exe) - # this is ok - ;; - *.exe:*) - destfile=$destfile.exe - ;; - *:*.exe) - func_stripname '' '.exe' "$destfile" - destfile=$func_stripname_result - ;; - esac - ;; - esac - func_show_eval "$install_prog\$stripme \$file \$destfile" 'exit $?' - $opt_dry_run || if test -n "$outputname"; then - ${RM}r "$tmpdir" - fi - ;; - esac - done - - for file in $staticlibs; do - func_basename "$file" - name=$func_basename_result - - # Set up the ranlib parameters. - oldlib=$destdir/$name - func_to_tool_file "$oldlib" func_convert_file_msys_to_w32 - tool_oldlib=$func_to_tool_file_result - - func_show_eval "$install_prog \$file \$oldlib" 'exit $?' - - if test -n "$stripme" && test -n "$old_striplib"; then - func_show_eval "$old_striplib $tool_oldlib" 'exit $?' - fi - - # Do each command in the postinstall commands. - func_execute_cmds "$old_postinstall_cmds" 'exit $?' - done - - test -n "$future_libdirs" && \ - func_warning "remember to run '$progname --finish$future_libdirs'" - - if test -n "$current_libdirs"; then - # Maybe just do a dry run. - $opt_dry_run && current_libdirs=" -n$current_libdirs" - exec_cmd='$SHELL "$progpath" $preserve_args --finish$current_libdirs' - else - exit $EXIT_SUCCESS - fi -} - -test install = "$opt_mode" && func_mode_install ${1+"$@"} - - -# func_generate_dlsyms outputname originator pic_p -# Extract symbols from dlprefiles and create ${outputname}S.o with -# a dlpreopen symbol table. -func_generate_dlsyms () -{ - $debug_cmd - - my_outputname=$1 - my_originator=$2 - my_pic_p=${3-false} - my_prefix=`$ECHO "$my_originator" | $SED 's%[^a-zA-Z0-9]%_%g'` - my_dlsyms= - - if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then - if test -n "$NM" && test -n "$global_symbol_pipe"; then - my_dlsyms=${my_outputname}S.c - else - func_error "not configured to extract global symbols from dlpreopened files" - fi - fi - - if test -n "$my_dlsyms"; then - case $my_dlsyms in - "") ;; - *.c) - # Discover the nlist of each of the dlfiles. - nlist=$output_objdir/$my_outputname.nm - - func_show_eval "$RM $nlist ${nlist}S ${nlist}T" - - # Parse the name list into a source file. - func_verbose "creating $output_objdir/$my_dlsyms" - - $opt_dry_run || $ECHO > "$output_objdir/$my_dlsyms" "\ -/* $my_dlsyms - symbol resolution table for '$my_outputname' dlsym emulation. */ -/* Generated by $PROGRAM (GNU $PACKAGE) $VERSION */ - -#ifdef __cplusplus -extern \"C\" { -#endif - -#if defined __GNUC__ && (((__GNUC__ == 4) && (__GNUC_MINOR__ >= 4)) || (__GNUC__ > 4)) -#pragma GCC diagnostic ignored \"-Wstrict-prototypes\" -#endif - -/* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ -#if defined _WIN32 || defined __CYGWIN__ || defined _WIN32_WCE -/* DATA imports from DLLs on WIN32 can't be const, because runtime - relocations are performed -- see ld's documentation on pseudo-relocs. */ -# define LT_DLSYM_CONST -#elif defined __osf__ -/* This system does not cope well with relocations in const data. */ -# define LT_DLSYM_CONST -#else -# define LT_DLSYM_CONST const -#endif - -#define STREQ(s1, s2) (strcmp ((s1), (s2)) == 0) - -/* External symbol declarations for the compiler. */\ -" - - if test yes = "$dlself"; then - func_verbose "generating symbol list for '$output'" - - $opt_dry_run || echo ': @PROGRAM@ ' > "$nlist" - - # Add our own program objects to the symbol list. - progfiles=`$ECHO "$objs$old_deplibs" | $SP2NL | $SED "$lo2o" | $NL2SP` - for progfile in $progfiles; do - func_to_tool_file "$progfile" func_convert_file_msys_to_w32 - func_verbose "extracting global C symbols from '$func_to_tool_file_result'" - $opt_dry_run || eval "$NM $func_to_tool_file_result | $global_symbol_pipe >> '$nlist'" - done - - if test -n "$exclude_expsyms"; then - $opt_dry_run || { - eval '$EGREP -v " ($exclude_expsyms)$" "$nlist" > "$nlist"T' - eval '$MV "$nlist"T "$nlist"' - } - fi - - if test -n "$export_symbols_regex"; then - $opt_dry_run || { - eval '$EGREP -e "$export_symbols_regex" "$nlist" > "$nlist"T' - eval '$MV "$nlist"T "$nlist"' - } - fi - - # Prepare the list of exported symbols - if test -z "$export_symbols"; then - export_symbols=$output_objdir/$outputname.exp - $opt_dry_run || { - $RM $export_symbols - eval "$SED -n -e '/^: @PROGRAM@ $/d' -e 's/^.* \(.*\)$/\1/p' "'< "$nlist" > "$export_symbols"' - case $host in - *cygwin* | *mingw* | *cegcc* ) - eval "echo EXPORTS "'> "$output_objdir/$outputname.def"' - eval 'cat "$export_symbols" >> "$output_objdir/$outputname.def"' - ;; - esac - } - else - $opt_dry_run || { - eval "$SED -e 's/\([].[*^$]\)/\\\\\1/g' -e 's/^/ /' -e 's/$/$/'"' < "$export_symbols" > "$output_objdir/$outputname.exp"' - eval '$GREP -f "$output_objdir/$outputname.exp" < "$nlist" > "$nlist"T' - eval '$MV "$nlist"T "$nlist"' - case $host in - *cygwin* | *mingw* | *cegcc* ) - eval "echo EXPORTS "'> "$output_objdir/$outputname.def"' - eval 'cat "$nlist" >> "$output_objdir/$outputname.def"' - ;; - esac - } - fi - fi - - for dlprefile in $dlprefiles; do - func_verbose "extracting global C symbols from '$dlprefile'" - func_basename "$dlprefile" - name=$func_basename_result - case $host in - *cygwin* | *mingw* | *cegcc* ) - # if an import library, we need to obtain dlname - if func_win32_import_lib_p "$dlprefile"; then - func_tr_sh "$dlprefile" - eval "curr_lafile=\$libfile_$func_tr_sh_result" - dlprefile_dlbasename= - if test -n "$curr_lafile" && func_lalib_p "$curr_lafile"; then - # Use subshell, to avoid clobbering current variable values - dlprefile_dlname=`source "$curr_lafile" && echo "$dlname"` - if test -n "$dlprefile_dlname"; then - func_basename "$dlprefile_dlname" - dlprefile_dlbasename=$func_basename_result - else - # no lafile. user explicitly requested -dlpreopen . - $sharedlib_from_linklib_cmd "$dlprefile" - dlprefile_dlbasename=$sharedlib_from_linklib_result - fi - fi - $opt_dry_run || { - if test -n "$dlprefile_dlbasename"; then - eval '$ECHO ": $dlprefile_dlbasename" >> "$nlist"' - else - func_warning "Could not compute DLL name from $name" - eval '$ECHO ": $name " >> "$nlist"' - fi - func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 - eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe | - $SED -e '/I __imp/d' -e 's/I __nm_/D /;s/_nm__//' >> '$nlist'" - } - else # not an import lib - $opt_dry_run || { - eval '$ECHO ": $name " >> "$nlist"' - func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 - eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe >> '$nlist'" - } - fi - ;; - *) - $opt_dry_run || { - eval '$ECHO ": $name " >> "$nlist"' - func_to_tool_file "$dlprefile" func_convert_file_msys_to_w32 - eval "$NM \"$func_to_tool_file_result\" 2>/dev/null | $global_symbol_pipe >> '$nlist'" - } - ;; - esac - done - - $opt_dry_run || { - # Make sure we have at least an empty file. - test -f "$nlist" || : > "$nlist" - - if test -n "$exclude_expsyms"; then - $EGREP -v " ($exclude_expsyms)$" "$nlist" > "$nlist"T - $MV "$nlist"T "$nlist" - fi - - # Try sorting and uniquifying the output. - if $GREP -v "^: " < "$nlist" | - if sort -k 3 /dev/null 2>&1; then - sort -k 3 - else - sort +2 - fi | - uniq > "$nlist"S; then - : - else - $GREP -v "^: " < "$nlist" > "$nlist"S - fi - - if test -f "$nlist"S; then - eval "$global_symbol_to_cdecl"' < "$nlist"S >> "$output_objdir/$my_dlsyms"' - else - echo '/* NONE */' >> "$output_objdir/$my_dlsyms" - fi - - func_show_eval '$RM "${nlist}I"' - if test -n "$global_symbol_to_import"; then - eval "$global_symbol_to_import"' < "$nlist"S > "$nlist"I' - fi - - echo >> "$output_objdir/$my_dlsyms" "\ - -/* The mapping between symbol names and symbols. */ -typedef struct { - const char *name; - void *address; -} lt_dlsymlist; -extern LT_DLSYM_CONST lt_dlsymlist -lt_${my_prefix}_LTX_preloaded_symbols[];\ -" - - if test -s "$nlist"I; then - echo >> "$output_objdir/$my_dlsyms" "\ -static void lt_syminit(void) -{ - LT_DLSYM_CONST lt_dlsymlist *symbol = lt_${my_prefix}_LTX_preloaded_symbols; - for (; symbol->name; ++symbol) - {" - $SED 's/.*/ if (STREQ (symbol->name, \"&\")) symbol->address = (void *) \&&;/' < "$nlist"I >> "$output_objdir/$my_dlsyms" - echo >> "$output_objdir/$my_dlsyms" "\ - } -}" - fi - echo >> "$output_objdir/$my_dlsyms" "\ -LT_DLSYM_CONST lt_dlsymlist -lt_${my_prefix}_LTX_preloaded_symbols[] = -{ {\"$my_originator\", (void *) 0}," - - if test -s "$nlist"I; then - echo >> "$output_objdir/$my_dlsyms" "\ - {\"@INIT@\", (void *) <_syminit}," - fi - - case $need_lib_prefix in - no) - eval "$global_symbol_to_c_name_address" < "$nlist" >> "$output_objdir/$my_dlsyms" - ;; - *) - eval "$global_symbol_to_c_name_address_lib_prefix" < "$nlist" >> "$output_objdir/$my_dlsyms" - ;; - esac - echo >> "$output_objdir/$my_dlsyms" "\ - {0, (void *) 0} -}; - -/* This works around a problem in FreeBSD linker */ -#ifdef FREEBSD_WORKAROUND -static const void *lt_preloaded_setup() { - return lt_${my_prefix}_LTX_preloaded_symbols; -} -#endif - -#ifdef __cplusplus -} -#endif\ -" - } # !$opt_dry_run - - pic_flag_for_symtable= - case "$compile_command " in - *" -static "*) ;; - *) - case $host in - # compiling the symbol table file with pic_flag works around - # a FreeBSD bug that causes programs to crash when -lm is - # linked before any other PIC object. But we must not use - # pic_flag when linking with -static. The problem exists in - # FreeBSD 2.2.6 and is fixed in FreeBSD 3.1. - *-*-freebsd2.*|*-*-freebsd3.0*|*-*-freebsdelf3.0*) - pic_flag_for_symtable=" $pic_flag -DFREEBSD_WORKAROUND" ;; - *-*-hpux*) - pic_flag_for_symtable=" $pic_flag" ;; - *) - $my_pic_p && pic_flag_for_symtable=" $pic_flag" - ;; - esac - ;; - esac - symtab_cflags= - for arg in $LTCFLAGS; do - case $arg in - -pie | -fpie | -fPIE) ;; - *) func_append symtab_cflags " $arg" ;; - esac - done - - # Now compile the dynamic symbol file. - func_show_eval '(cd $output_objdir && $LTCC$symtab_cflags -c$no_builtin_flag$pic_flag_for_symtable "$my_dlsyms")' 'exit $?' - - # Clean up the generated files. - func_show_eval '$RM "$output_objdir/$my_dlsyms" "$nlist" "${nlist}S" "${nlist}T" "${nlist}I"' - - # Transform the symbol file into the correct name. - symfileobj=$output_objdir/${my_outputname}S.$objext - case $host in - *cygwin* | *mingw* | *cegcc* ) - if test -f "$output_objdir/$my_outputname.def"; then - compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$output_objdir/$my_outputname.def $symfileobj%"` - finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$output_objdir/$my_outputname.def $symfileobj%"` - else - compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$symfileobj%"` - finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$symfileobj%"` - fi - ;; - *) - compile_command=`$ECHO "$compile_command" | $SED "s%@SYMFILE@%$symfileobj%"` - finalize_command=`$ECHO "$finalize_command" | $SED "s%@SYMFILE@%$symfileobj%"` - ;; - esac - ;; - *) - func_fatal_error "unknown suffix for '$my_dlsyms'" - ;; - esac - else - # We keep going just in case the user didn't refer to - # lt_preloaded_symbols. The linker will fail if global_symbol_pipe - # really was required. - - # Nullify the symbol file. - compile_command=`$ECHO "$compile_command" | $SED "s% @SYMFILE@%%"` - finalize_command=`$ECHO "$finalize_command" | $SED "s% @SYMFILE@%%"` - fi -} - -# func_cygming_gnu_implib_p ARG -# This predicate returns with zero status (TRUE) if -# ARG is a GNU/binutils-style import library. Returns -# with nonzero status (FALSE) otherwise. -func_cygming_gnu_implib_p () -{ - $debug_cmd - - func_to_tool_file "$1" func_convert_file_msys_to_w32 - func_cygming_gnu_implib_tmp=`$NM "$func_to_tool_file_result" | eval "$global_symbol_pipe" | $EGREP ' (_head_[A-Za-z0-9_]+_[ad]l*|[A-Za-z0-9_]+_[ad]l*_iname)$'` - test -n "$func_cygming_gnu_implib_tmp" -} - -# func_cygming_ms_implib_p ARG -# This predicate returns with zero status (TRUE) if -# ARG is an MS-style import library. Returns -# with nonzero status (FALSE) otherwise. -func_cygming_ms_implib_p () -{ - $debug_cmd - - func_to_tool_file "$1" func_convert_file_msys_to_w32 - func_cygming_ms_implib_tmp=`$NM "$func_to_tool_file_result" | eval "$global_symbol_pipe" | $GREP '_NULL_IMPORT_DESCRIPTOR'` - test -n "$func_cygming_ms_implib_tmp" -} - -# func_win32_libid arg -# return the library type of file 'arg' -# -# Need a lot of goo to handle *both* DLLs and import libs -# Has to be a shell function in order to 'eat' the argument -# that is supplied when $file_magic_command is called. -# Despite the name, also deal with 64 bit binaries. -func_win32_libid () -{ - $debug_cmd - - win32_libid_type=unknown - win32_fileres=`file -L $1 2>/dev/null` - case $win32_fileres in - *ar\ archive\ import\ library*) # definitely import - win32_libid_type="x86 archive import" - ;; - *ar\ archive*) # could be an import, or static - # Keep the egrep pattern in sync with the one in _LT_CHECK_MAGIC_METHOD. - if eval $OBJDUMP -f $1 | $SED -e '10q' 2>/dev/null | - $EGREP 'file format (pei*-i386(.*architecture: i386)?|pe-arm-wince|pe-x86-64)' >/dev/null; then - case $nm_interface in - "MS dumpbin") - if func_cygming_ms_implib_p "$1" || - func_cygming_gnu_implib_p "$1" - then - win32_nmres=import - else - win32_nmres= - fi - ;; - *) - func_to_tool_file "$1" func_convert_file_msys_to_w32 - win32_nmres=`eval $NM -f posix -A \"$func_to_tool_file_result\" | - $SED -n -e ' - 1,100{ - / I /{ - s|.*|import| - p - q - } - }'` - ;; - esac - case $win32_nmres in - import*) win32_libid_type="x86 archive import";; - *) win32_libid_type="x86 archive static";; - esac - fi - ;; - *DLL*) - win32_libid_type="x86 DLL" - ;; - *executable*) # but shell scripts are "executable" too... - case $win32_fileres in - *MS\ Windows\ PE\ Intel*) - win32_libid_type="x86 DLL" - ;; - esac - ;; - esac - $ECHO "$win32_libid_type" -} - -# func_cygming_dll_for_implib ARG -# -# Platform-specific function to extract the -# name of the DLL associated with the specified -# import library ARG. -# Invoked by eval'ing the libtool variable -# $sharedlib_from_linklib_cmd -# Result is available in the variable -# $sharedlib_from_linklib_result -func_cygming_dll_for_implib () -{ - $debug_cmd - - sharedlib_from_linklib_result=`$DLLTOOL --identify-strict --identify "$1"` -} - -# func_cygming_dll_for_implib_fallback_core SECTION_NAME LIBNAMEs -# -# The is the core of a fallback implementation of a -# platform-specific function to extract the name of the -# DLL associated with the specified import library LIBNAME. -# -# SECTION_NAME is either .idata$6 or .idata$7, depending -# on the platform and compiler that created the implib. -# -# Echos the name of the DLL associated with the -# specified import library. -func_cygming_dll_for_implib_fallback_core () -{ - $debug_cmd - - match_literal=`$ECHO "$1" | $SED "$sed_make_literal_regex"` - $OBJDUMP -s --section "$1" "$2" 2>/dev/null | - $SED '/^Contents of section '"$match_literal"':/{ - # Place marker at beginning of archive member dllname section - s/.*/====MARK====/ - p - d - } - # These lines can sometimes be longer than 43 characters, but - # are always uninteresting - /:[ ]*file format pe[i]\{,1\}-/d - /^In archive [^:]*:/d - # Ensure marker is printed - /^====MARK====/p - # Remove all lines with less than 43 characters - /^.\{43\}/!d - # From remaining lines, remove first 43 characters - s/^.\{43\}//' | - $SED -n ' - # Join marker and all lines until next marker into a single line - /^====MARK====/ b para - H - $ b para - b - :para - x - s/\n//g - # Remove the marker - s/^====MARK====// - # Remove trailing dots and whitespace - s/[\. \t]*$// - # Print - /./p' | - # we now have a list, one entry per line, of the stringified - # contents of the appropriate section of all members of the - # archive that possess that section. Heuristic: eliminate - # all those that have a first or second character that is - # a '.' (that is, objdump's representation of an unprintable - # character.) This should work for all archives with less than - # 0x302f exports -- but will fail for DLLs whose name actually - # begins with a literal '.' or a single character followed by - # a '.'. - # - # Of those that remain, print the first one. - $SED -e '/^\./d;/^.\./d;q' -} - -# func_cygming_dll_for_implib_fallback ARG -# Platform-specific function to extract the -# name of the DLL associated with the specified -# import library ARG. -# -# This fallback implementation is for use when $DLLTOOL -# does not support the --identify-strict option. -# Invoked by eval'ing the libtool variable -# $sharedlib_from_linklib_cmd -# Result is available in the variable -# $sharedlib_from_linklib_result -func_cygming_dll_for_implib_fallback () -{ - $debug_cmd - - if func_cygming_gnu_implib_p "$1"; then - # binutils import library - sharedlib_from_linklib_result=`func_cygming_dll_for_implib_fallback_core '.idata$7' "$1"` - elif func_cygming_ms_implib_p "$1"; then - # ms-generated import library - sharedlib_from_linklib_result=`func_cygming_dll_for_implib_fallback_core '.idata$6' "$1"` - else - # unknown - sharedlib_from_linklib_result= - fi -} - - -# func_extract_an_archive dir oldlib -func_extract_an_archive () -{ - $debug_cmd - - f_ex_an_ar_dir=$1; shift - f_ex_an_ar_oldlib=$1 - if test yes = "$lock_old_archive_extraction"; then - lockfile=$f_ex_an_ar_oldlib.lock - until $opt_dry_run || ln "$progpath" "$lockfile" 2>/dev/null; do - func_echo "Waiting for $lockfile to be removed" - sleep 2 - done - fi - func_show_eval "(cd \$f_ex_an_ar_dir && $AR x \"\$f_ex_an_ar_oldlib\")" \ - 'stat=$?; rm -f "$lockfile"; exit $stat' - if test yes = "$lock_old_archive_extraction"; then - $opt_dry_run || rm -f "$lockfile" - fi - if ($AR t "$f_ex_an_ar_oldlib" | sort | sort -uc >/dev/null 2>&1); then - : - else - func_fatal_error "object name conflicts in archive: $f_ex_an_ar_dir/$f_ex_an_ar_oldlib" - fi -} - - -# func_extract_archives gentop oldlib ... -func_extract_archives () -{ - $debug_cmd - - my_gentop=$1; shift - my_oldlibs=${1+"$@"} - my_oldobjs= - my_xlib= - my_xabs= - my_xdir= - - for my_xlib in $my_oldlibs; do - # Extract the objects. - case $my_xlib in - [\\/]* | [A-Za-z]:[\\/]*) my_xabs=$my_xlib ;; - *) my_xabs=`pwd`"/$my_xlib" ;; - esac - func_basename "$my_xlib" - my_xlib=$func_basename_result - my_xlib_u=$my_xlib - while :; do - case " $extracted_archives " in - *" $my_xlib_u "*) - func_arith $extracted_serial + 1 - extracted_serial=$func_arith_result - my_xlib_u=lt$extracted_serial-$my_xlib ;; - *) break ;; - esac - done - extracted_archives="$extracted_archives $my_xlib_u" - my_xdir=$my_gentop/$my_xlib_u - - func_mkdir_p "$my_xdir" - - case $host in - *-darwin*) - func_verbose "Extracting $my_xabs" - # Do not bother doing anything if just a dry run - $opt_dry_run || { - darwin_orig_dir=`pwd` - cd $my_xdir || exit $? - darwin_archive=$my_xabs - darwin_curdir=`pwd` - func_basename "$darwin_archive" - darwin_base_archive=$func_basename_result - darwin_arches=`$LIPO -info "$darwin_archive" 2>/dev/null | $GREP Architectures 2>/dev/null || true` - if test -n "$darwin_arches"; then - darwin_arches=`$ECHO "$darwin_arches" | $SED -e 's/.*are://'` - darwin_arch= - func_verbose "$darwin_base_archive has multiple architectures $darwin_arches" - for darwin_arch in $darwin_arches; do - func_mkdir_p "unfat-$$/$darwin_base_archive-$darwin_arch" - $LIPO -thin $darwin_arch -output "unfat-$$/$darwin_base_archive-$darwin_arch/$darwin_base_archive" "$darwin_archive" - cd "unfat-$$/$darwin_base_archive-$darwin_arch" - func_extract_an_archive "`pwd`" "$darwin_base_archive" - cd "$darwin_curdir" - $RM "unfat-$$/$darwin_base_archive-$darwin_arch/$darwin_base_archive" - done # $darwin_arches - ## Okay now we've a bunch of thin objects, gotta fatten them up :) - darwin_filelist=`find unfat-$$ -type f -name \*.o -print -o -name \*.lo -print | $SED -e "$sed_basename" | sort -u` - darwin_file= - darwin_files= - for darwin_file in $darwin_filelist; do - darwin_files=`find unfat-$$ -name $darwin_file -print | sort | $NL2SP` - $LIPO -create -output "$darwin_file" $darwin_files - done # $darwin_filelist - $RM -rf unfat-$$ - cd "$darwin_orig_dir" - else - cd $darwin_orig_dir - func_extract_an_archive "$my_xdir" "$my_xabs" - fi # $darwin_arches - } # !$opt_dry_run - ;; - *) - func_extract_an_archive "$my_xdir" "$my_xabs" - ;; - esac - my_oldobjs="$my_oldobjs "`find $my_xdir -name \*.$objext -print -o -name \*.lo -print | sort | $NL2SP` - done - - func_extract_archives_result=$my_oldobjs -} - - -# func_emit_wrapper [arg=no] -# -# Emit a libtool wrapper script on stdout. -# Don't directly open a file because we may want to -# incorporate the script contents within a cygwin/mingw -# wrapper executable. Must ONLY be called from within -# func_mode_link because it depends on a number of variables -# set therein. -# -# ARG is the value that the WRAPPER_SCRIPT_BELONGS_IN_OBJDIR -# variable will take. If 'yes', then the emitted script -# will assume that the directory where it is stored is -# the $objdir directory. This is a cygwin/mingw-specific -# behavior. -func_emit_wrapper () -{ - func_emit_wrapper_arg1=${1-no} - - $ECHO "\ -#! $SHELL - -# $output - temporary wrapper script for $objdir/$outputname -# Generated by $PROGRAM (GNU $PACKAGE) $VERSION -# -# The $output program cannot be directly executed until all the libtool -# libraries that it depends on are installed. -# -# This wrapper script should never be moved out of the build directory. -# If it is, it will not operate correctly. - -# Sed substitution that helps us do robust quoting. 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Disable this feature. - alias -g '\${1+\"\$@\"}'='\"\$@\"' - setopt NO_GLOB_SUBST -else - case \`(set -o) 2>/dev/null\` in *posix*) set -o posix;; esac -fi -BIN_SH=xpg4; export BIN_SH # for Tru64 -DUALCASE=1; export DUALCASE # for MKS sh - -# The HP-UX ksh and POSIX shell print the target directory to stdout -# if CDPATH is set. -(unset CDPATH) >/dev/null 2>&1 && unset CDPATH - -relink_command=\"$relink_command\" - -# This environment variable determines our operation mode. -if test \"\$libtool_install_magic\" = \"$magic\"; then - # install mode needs the following variables: - generated_by_libtool_version='$macro_version' - notinst_deplibs='$notinst_deplibs' -else - # When we are sourced in execute mode, \$file and \$ECHO are already set. - if test \"\$libtool_execute_magic\" != \"$magic\"; then - file=\"\$0\"" - - qECHO=`$ECHO "$ECHO" | $SED "$sed_quote_subst"` - $ECHO "\ - -# A function that is used when there is no print builtin or printf. -func_fallback_echo () -{ - eval 'cat <<_LTECHO_EOF -\$1 -_LTECHO_EOF' -} - ECHO=\"$qECHO\" - fi - -# Very basic option parsing. These options are (a) specific to -# the libtool wrapper, (b) are identical between the wrapper -# /script/ and the wrapper /executable/ that is used only on -# windows platforms, and (c) all begin with the string "--lt-" -# (application programs are unlikely to have options that match -# this pattern). -# -# There are only two supported options: --lt-debug and -# --lt-dump-script. There is, deliberately, no --lt-help. -# -# The first argument to this parsing function should be the -# script's $0 value, followed by "$@". -lt_option_debug= -func_parse_lt_options () -{ - lt_script_arg0=\$0 - shift - for lt_opt - do - case \"\$lt_opt\" in - --lt-debug) lt_option_debug=1 ;; - --lt-dump-script) - lt_dump_D=\`\$ECHO \"X\$lt_script_arg0\" | $SED -e 's/^X//' -e 's%/[^/]*$%%'\` - test \"X\$lt_dump_D\" = \"X\$lt_script_arg0\" && lt_dump_D=. - lt_dump_F=\`\$ECHO \"X\$lt_script_arg0\" | $SED -e 's/^X//' -e 's%^.*/%%'\` - cat \"\$lt_dump_D/\$lt_dump_F\" - exit 0 - ;; - --lt-*) - \$ECHO \"Unrecognized --lt- option: '\$lt_opt'\" 1>&2 - exit 1 - ;; - esac - done - - # Print the debug banner immediately: - if test -n \"\$lt_option_debug\"; then - echo \"$outputname:$output:\$LINENO: libtool wrapper (GNU $PACKAGE) $VERSION\" 1>&2 - fi -} - -# Used when --lt-debug. Prints its arguments to stdout -# (redirection is the responsibility of the caller) -func_lt_dump_args () -{ - lt_dump_args_N=1; - for lt_arg - do - \$ECHO \"$outputname:$output:\$LINENO: newargv[\$lt_dump_args_N]: \$lt_arg\" - lt_dump_args_N=\`expr \$lt_dump_args_N + 1\` - done -} - -# Core function for launching the target application -func_exec_program_core () -{ -" - case $host in - # Backslashes separate directories on plain windows - *-*-mingw | *-*-os2* | *-cegcc*) - $ECHO "\ - if test -n \"\$lt_option_debug\"; then - \$ECHO \"$outputname:$output:\$LINENO: newargv[0]: \$progdir\\\\\$program\" 1>&2 - func_lt_dump_args \${1+\"\$@\"} 1>&2 - fi - exec \"\$progdir\\\\\$program\" \${1+\"\$@\"} -" - ;; - - *) - $ECHO "\ - if test -n \"\$lt_option_debug\"; then - \$ECHO \"$outputname:$output:\$LINENO: newargv[0]: \$progdir/\$program\" 1>&2 - func_lt_dump_args \${1+\"\$@\"} 1>&2 - fi - exec \"\$progdir/\$program\" \${1+\"\$@\"} -" - ;; - esac - $ECHO "\ - \$ECHO \"\$0: cannot exec \$program \$*\" 1>&2 - exit 1 -} - -# A function to encapsulate launching the target application -# Strips options in the --lt-* namespace from \$@ and -# launches target application with the remaining arguments. -func_exec_program () -{ - case \" \$* \" in - *\\ --lt-*) - for lt_wr_arg - do - case \$lt_wr_arg in - --lt-*) ;; - *) set x \"\$@\" \"\$lt_wr_arg\"; shift;; - esac - shift - done ;; - esac - func_exec_program_core \${1+\"\$@\"} -} - - # Parse options - func_parse_lt_options \"\$0\" \${1+\"\$@\"} - - # Find the directory that this script lives in. - thisdir=\`\$ECHO \"\$file\" | $SED 's%/[^/]*$%%'\` - test \"x\$thisdir\" = \"x\$file\" && thisdir=. - - # Follow symbolic links until we get to the real thisdir. - file=\`ls -ld \"\$file\" | $SED -n 's/.*-> //p'\` - while test -n \"\$file\"; do - destdir=\`\$ECHO \"\$file\" | $SED 's%/[^/]*\$%%'\` - - # If there was a directory component, then change thisdir. - if test \"x\$destdir\" != \"x\$file\"; then - case \"\$destdir\" in - [\\\\/]* | [A-Za-z]:[\\\\/]*) thisdir=\"\$destdir\" ;; - *) thisdir=\"\$thisdir/\$destdir\" ;; - esac - fi - - file=\`\$ECHO \"\$file\" | $SED 's%^.*/%%'\` - file=\`ls -ld \"\$thisdir/\$file\" | $SED -n 's/.*-> //p'\` - done - - # Usually 'no', except on cygwin/mingw when embedded into - # the cwrapper. - WRAPPER_SCRIPT_BELONGS_IN_OBJDIR=$func_emit_wrapper_arg1 - if test \"\$WRAPPER_SCRIPT_BELONGS_IN_OBJDIR\" = \"yes\"; then - # special case for '.' - if test \"\$thisdir\" = \".\"; then - thisdir=\`pwd\` - fi - # remove .libs from thisdir - case \"\$thisdir\" in - *[\\\\/]$objdir ) thisdir=\`\$ECHO \"\$thisdir\" | $SED 's%[\\\\/][^\\\\/]*$%%'\` ;; - $objdir ) thisdir=. ;; - esac - fi - - # Try to get the absolute directory name. - absdir=\`cd \"\$thisdir\" && pwd\` - test -n \"\$absdir\" && thisdir=\"\$absdir\" -" - - if test yes = "$fast_install"; then - $ECHO "\ - program=lt-'$outputname'$exeext - progdir=\"\$thisdir/$objdir\" - - if test ! -f \"\$progdir/\$program\" || - { file=\`ls -1dt \"\$progdir/\$program\" \"\$progdir/../\$program\" 2>/dev/null | $SED 1q\`; \\ - test \"X\$file\" != \"X\$progdir/\$program\"; }; then - - file=\"\$\$-\$program\" - - if test ! -d \"\$progdir\"; then - $MKDIR \"\$progdir\" - else - $RM \"\$progdir/\$file\" - fi" - - $ECHO "\ - - # relink executable if necessary - if test -n \"\$relink_command\"; then - if relink_command_output=\`eval \$relink_command 2>&1\`; then : - else - \$ECHO \"\$relink_command_output\" >&2 - $RM \"\$progdir/\$file\" - exit 1 - fi - fi - - $MV \"\$progdir/\$file\" \"\$progdir/\$program\" 2>/dev/null || - { $RM \"\$progdir/\$program\"; - $MV \"\$progdir/\$file\" \"\$progdir/\$program\"; } - $RM \"\$progdir/\$file\" - fi" - else - $ECHO "\ - program='$outputname' - progdir=\"\$thisdir/$objdir\" -" - fi - - $ECHO "\ - - if test -f \"\$progdir/\$program\"; then" - - # fixup the dll searchpath if we need to. - # - # Fix the DLL searchpath if we need to. Do this before prepending - # to shlibpath, because on Windows, both are PATH and uninstalled - # libraries must come first. - if test -n "$dllsearchpath"; then - $ECHO "\ - # Add the dll search path components to the executable PATH - PATH=$dllsearchpath:\$PATH -" - fi - - # Export our shlibpath_var if we have one. - if test yes = "$shlibpath_overrides_runpath" && test -n "$shlibpath_var" && test -n "$temp_rpath"; then - $ECHO "\ - # Add our own library path to $shlibpath_var - $shlibpath_var=\"$temp_rpath\$$shlibpath_var\" - - # Some systems cannot cope with colon-terminated $shlibpath_var - # The second colon is a workaround for a bug in BeOS R4 sed - $shlibpath_var=\`\$ECHO \"\$$shlibpath_var\" | $SED 's/::*\$//'\` - - export $shlibpath_var -" - fi - - $ECHO "\ - if test \"\$libtool_execute_magic\" != \"$magic\"; then - # Run the actual program with our arguments. - func_exec_program \${1+\"\$@\"} - fi - else - # The program doesn't exist. - \$ECHO \"\$0: error: '\$progdir/\$program' does not exist\" 1>&2 - \$ECHO \"This script is just a wrapper for \$program.\" 1>&2 - \$ECHO \"See the $PACKAGE documentation for more information.\" 1>&2 - exit 1 - fi -fi\ -" -} - - -# func_emit_cwrapperexe_src -# emit the source code for a wrapper executable on stdout -# Must ONLY be called from within func_mode_link because -# it depends on a number of variable set therein. -func_emit_cwrapperexe_src () -{ - cat < -#include -#ifdef _MSC_VER -# include -# include -# include -#else -# include -# include -# ifdef __CYGWIN__ -# include -# endif -#endif -#include -#include -#include -#include -#include -#include -#include -#include - -#define STREQ(s1, s2) (strcmp ((s1), (s2)) == 0) - -/* declarations of non-ANSI functions */ -#if defined __MINGW32__ -# ifdef __STRICT_ANSI__ -int _putenv (const char *); -# endif -#elif defined __CYGWIN__ -# ifdef __STRICT_ANSI__ -char *realpath (const char *, char *); -int putenv (char *); -int setenv (const char *, const char *, int); -# endif -/* #elif defined other_platform || defined ... */ -#endif - -/* portability defines, excluding path handling macros */ -#if defined _MSC_VER -# define setmode _setmode -# define stat _stat -# define chmod _chmod -# define getcwd _getcwd -# define putenv _putenv -# define S_IXUSR _S_IEXEC -#elif defined __MINGW32__ -# define setmode _setmode -# define stat _stat -# define chmod _chmod -# define getcwd _getcwd -# define putenv _putenv -#elif defined __CYGWIN__ -# define HAVE_SETENV -# define FOPEN_WB "wb" -/* #elif defined other platforms ... */ -#endif - -#if defined PATH_MAX -# define LT_PATHMAX PATH_MAX -#elif defined MAXPATHLEN -# define LT_PATHMAX MAXPATHLEN -#else -# define LT_PATHMAX 1024 -#endif - -#ifndef S_IXOTH -# define S_IXOTH 0 -#endif -#ifndef S_IXGRP -# define S_IXGRP 0 -#endif - -/* path handling portability macros */ -#ifndef DIR_SEPARATOR -# define DIR_SEPARATOR '/' -# define PATH_SEPARATOR ':' -#endif - -#if defined _WIN32 || defined __MSDOS__ || defined __DJGPP__ || \ - defined __OS2__ -# define HAVE_DOS_BASED_FILE_SYSTEM -# define FOPEN_WB "wb" -# ifndef DIR_SEPARATOR_2 -# define DIR_SEPARATOR_2 '\\' -# endif -# ifndef PATH_SEPARATOR_2 -# define PATH_SEPARATOR_2 ';' -# endif -#endif - -#ifndef DIR_SEPARATOR_2 -# define IS_DIR_SEPARATOR(ch) ((ch) == DIR_SEPARATOR) -#else /* DIR_SEPARATOR_2 */ -# define IS_DIR_SEPARATOR(ch) \ - (((ch) == DIR_SEPARATOR) || ((ch) == DIR_SEPARATOR_2)) -#endif /* DIR_SEPARATOR_2 */ - -#ifndef PATH_SEPARATOR_2 -# define IS_PATH_SEPARATOR(ch) ((ch) == PATH_SEPARATOR) -#else /* PATH_SEPARATOR_2 */ -# define IS_PATH_SEPARATOR(ch) ((ch) == PATH_SEPARATOR_2) -#endif /* PATH_SEPARATOR_2 */ - -#ifndef FOPEN_WB -# define FOPEN_WB "w" -#endif -#ifndef _O_BINARY -# define _O_BINARY 0 -#endif - -#define XMALLOC(type, num) ((type *) xmalloc ((num) * sizeof(type))) -#define XFREE(stale) do { \ - if (stale) { free (stale); stale = 0; } \ -} while (0) - -#if defined LT_DEBUGWRAPPER -static int lt_debug = 1; -#else -static int lt_debug = 0; -#endif - -const char *program_name = "libtool-wrapper"; /* in case xstrdup fails */ - -void *xmalloc (size_t num); -char *xstrdup (const char *string); -const char *base_name (const char *name); -char *find_executable (const char *wrapper); -char *chase_symlinks (const char *pathspec); -int make_executable (const char *path); -int check_executable (const char *path); -char *strendzap (char *str, const char *pat); -void lt_debugprintf (const char *file, int line, const char *fmt, ...); -void lt_fatal (const char *file, int line, const char *message, ...); -static const char *nonnull (const char *s); -static const char *nonempty (const char *s); -void lt_setenv (const char *name, const char *value); -char *lt_extend_str (const char *orig_value, const char *add, int to_end); -void lt_update_exe_path (const char *name, const char *value); -void lt_update_lib_path (const char *name, const char *value); -char **prepare_spawn (char **argv); -void lt_dump_script (FILE *f); -EOF - - cat <= 0) - && (st.st_mode & (S_IXUSR | S_IXGRP | S_IXOTH))) - return 1; - else - return 0; -} - -int -make_executable (const char *path) -{ - int rval = 0; - struct stat st; - - lt_debugprintf (__FILE__, __LINE__, "(make_executable): %s\n", - nonempty (path)); - if ((!path) || (!*path)) - return 0; - - if (stat (path, &st) >= 0) - { - rval = chmod (path, st.st_mode | S_IXOTH | S_IXGRP | S_IXUSR); - } - return rval; -} - -/* Searches for the full path of the wrapper. Returns - newly allocated full path name if found, NULL otherwise - Does not chase symlinks, even on platforms that support them. -*/ -char * -find_executable (const char *wrapper) -{ - int has_slash = 0; - const char *p; - const char *p_next; - /* static buffer for getcwd */ - char tmp[LT_PATHMAX + 1]; - size_t tmp_len; - char *concat_name; - - lt_debugprintf (__FILE__, __LINE__, "(find_executable): %s\n", - nonempty (wrapper)); - - if ((wrapper == NULL) || (*wrapper == '\0')) - return NULL; - - /* Absolute path? */ -#if defined HAVE_DOS_BASED_FILE_SYSTEM - if (isalpha ((unsigned char) wrapper[0]) && wrapper[1] == ':') - { - concat_name = xstrdup (wrapper); - if (check_executable (concat_name)) - return concat_name; - XFREE (concat_name); - } - else - { -#endif - if (IS_DIR_SEPARATOR (wrapper[0])) - { - concat_name = xstrdup (wrapper); - if (check_executable (concat_name)) - return concat_name; - XFREE (concat_name); - } -#if defined HAVE_DOS_BASED_FILE_SYSTEM - } -#endif - - for (p = wrapper; *p; p++) - if (*p == '/') - { - has_slash = 1; - break; - } - if (!has_slash) - { - /* no slashes; search PATH */ - const char *path = getenv ("PATH"); - if (path != NULL) - { - for (p = path; *p; p = p_next) - { - const char *q; - size_t p_len; - for (q = p; *q; q++) - if (IS_PATH_SEPARATOR (*q)) - break; - p_len = (size_t) (q - p); - p_next = (*q == '\0' ? q : q + 1); - if (p_len == 0) - { - /* empty path: current directory */ - if (getcwd (tmp, LT_PATHMAX) == NULL) - lt_fatal (__FILE__, __LINE__, "getcwd failed: %s", - nonnull (strerror (errno))); - tmp_len = strlen (tmp); - concat_name = - XMALLOC (char, tmp_len + 1 + strlen (wrapper) + 1); - memcpy (concat_name, tmp, tmp_len); - concat_name[tmp_len] = '/'; - strcpy (concat_name + tmp_len + 1, wrapper); - } - else - { - concat_name = - XMALLOC (char, p_len + 1 + strlen (wrapper) + 1); - memcpy (concat_name, p, p_len); - concat_name[p_len] = '/'; - strcpy (concat_name + p_len + 1, wrapper); - } - if (check_executable (concat_name)) - return concat_name; - XFREE (concat_name); - } - } - /* not found in PATH; assume curdir */ - } - /* Relative path | not found in path: prepend cwd */ - if (getcwd (tmp, LT_PATHMAX) == NULL) - lt_fatal (__FILE__, __LINE__, "getcwd failed: %s", - nonnull (strerror (errno))); - tmp_len = strlen (tmp); - concat_name = XMALLOC (char, tmp_len + 1 + strlen (wrapper) + 1); - memcpy (concat_name, tmp, tmp_len); - concat_name[tmp_len] = '/'; - strcpy (concat_name + tmp_len + 1, wrapper); - - if (check_executable (concat_name)) - return concat_name; - XFREE (concat_name); - return NULL; -} - -char * -chase_symlinks (const char *pathspec) -{ -#ifndef S_ISLNK - return xstrdup (pathspec); -#else - char buf[LT_PATHMAX]; - struct stat s; - char *tmp_pathspec = xstrdup (pathspec); - char *p; - int has_symlinks = 0; - while (strlen (tmp_pathspec) && !has_symlinks) - { - lt_debugprintf (__FILE__, __LINE__, - "checking path component for symlinks: %s\n", - tmp_pathspec); - if (lstat (tmp_pathspec, &s) == 0) - { - if (S_ISLNK (s.st_mode) != 0) - { - has_symlinks = 1; - break; - } - - /* search backwards for last DIR_SEPARATOR */ - p = tmp_pathspec + strlen (tmp_pathspec) - 1; - while ((p > tmp_pathspec) && (!IS_DIR_SEPARATOR (*p))) - p--; - if ((p == tmp_pathspec) && (!IS_DIR_SEPARATOR (*p))) - { - /* no more DIR_SEPARATORS left */ - break; - } - *p = '\0'; - } - else - { - lt_fatal (__FILE__, __LINE__, - "error accessing file \"%s\": %s", - tmp_pathspec, nonnull (strerror (errno))); - } - } - XFREE (tmp_pathspec); - - if (!has_symlinks) - { - return xstrdup (pathspec); - } - - tmp_pathspec = realpath (pathspec, buf); - if (tmp_pathspec == 0) - { - lt_fatal (__FILE__, __LINE__, - "could not follow symlinks for %s", pathspec); - } - return xstrdup (tmp_pathspec); -#endif -} - -char * -strendzap (char *str, const char *pat) -{ - size_t len, patlen; - - assert (str != NULL); - assert (pat != NULL); - - len = strlen (str); - patlen = strlen (pat); - - if (patlen <= len) - { - str += len - patlen; - if (STREQ (str, pat)) - *str = '\0'; - } - return str; -} - -void -lt_debugprintf (const char *file, int line, const char *fmt, ...) -{ - va_list args; - if (lt_debug) - { - (void) fprintf (stderr, "%s:%s:%d: ", program_name, file, line); - va_start (args, fmt); - (void) vfprintf (stderr, fmt, args); - va_end (args); - } -} - -static void -lt_error_core (int exit_status, const char *file, - int line, const char *mode, - const char *message, va_list ap) -{ - fprintf (stderr, "%s:%s:%d: %s: ", program_name, file, line, mode); - vfprintf (stderr, message, ap); - fprintf (stderr, ".\n"); - - if (exit_status >= 0) - exit (exit_status); -} - -void -lt_fatal (const char *file, int line, const char *message, ...) -{ - va_list ap; - va_start (ap, message); - lt_error_core (EXIT_FAILURE, file, line, "FATAL", message, ap); - va_end (ap); -} - -static const char * -nonnull (const char *s) -{ - return s ? s : "(null)"; -} - -static const char * -nonempty (const char *s) -{ - return (s && !*s) ? "(empty)" : nonnull (s); -} - -void -lt_setenv (const char *name, const char *value) -{ - lt_debugprintf (__FILE__, __LINE__, - "(lt_setenv) setting '%s' to '%s'\n", - nonnull (name), nonnull (value)); - { -#ifdef HAVE_SETENV - /* always make a copy, for consistency with !HAVE_SETENV */ - char *str = xstrdup (value); - setenv (name, str, 1); -#else - size_t len = strlen (name) + 1 + strlen (value) + 1; - char *str = XMALLOC (char, len); - sprintf (str, "%s=%s", name, value); - if (putenv (str) != EXIT_SUCCESS) - { - XFREE (str); - } -#endif - } -} - -char * -lt_extend_str (const char *orig_value, const char *add, int to_end) -{ - char *new_value; - if (orig_value && *orig_value) - { - size_t orig_value_len = strlen (orig_value); - size_t add_len = strlen (add); - new_value = XMALLOC (char, add_len + orig_value_len + 1); - if (to_end) - { - strcpy (new_value, orig_value); - strcpy (new_value + orig_value_len, add); - } - else - { - strcpy (new_value, add); - strcpy (new_value + add_len, orig_value); - } - } - else - { - new_value = xstrdup (add); - } - return new_value; -} - -void -lt_update_exe_path (const char *name, const char *value) -{ - lt_debugprintf (__FILE__, __LINE__, - "(lt_update_exe_path) modifying '%s' by prepending '%s'\n", - nonnull (name), nonnull (value)); - - if (name && *name && value && *value) - { - char *new_value = lt_extend_str (getenv (name), value, 0); - /* some systems can't cope with a ':'-terminated path #' */ - size_t len = strlen (new_value); - while ((len > 0) && IS_PATH_SEPARATOR (new_value[len-1])) - { - new_value[--len] = '\0'; - } - lt_setenv (name, new_value); - XFREE (new_value); - } -} - -void -lt_update_lib_path (const char *name, const char *value) -{ - lt_debugprintf (__FILE__, __LINE__, - "(lt_update_lib_path) modifying '%s' by prepending '%s'\n", - nonnull (name), nonnull (value)); - - if (name && *name && value && *value) - { - char *new_value = lt_extend_str (getenv (name), value, 0); - lt_setenv (name, new_value); - XFREE (new_value); - } -} - -EOF - case $host_os in - mingw*) - cat <<"EOF" - -/* Prepares an argument vector before calling spawn(). - Note that spawn() does not by itself call the command interpreter - (getenv ("COMSPEC") != NULL ? getenv ("COMSPEC") : - ({ OSVERSIONINFO v; v.dwOSVersionInfoSize = sizeof(OSVERSIONINFO); - GetVersionEx(&v); - v.dwPlatformId == VER_PLATFORM_WIN32_NT; - }) ? "cmd.exe" : "command.com"). - Instead it simply concatenates the arguments, separated by ' ', and calls - CreateProcess(). We must quote the arguments since Win32 CreateProcess() - interprets characters like ' ', '\t', '\\', '"' (but not '<' and '>') in a - special way: - - Space and tab are interpreted as delimiters. They are not treated as - delimiters if they are surrounded by double quotes: "...". - - Unescaped double quotes are removed from the input. Their only effect is - that within double quotes, space and tab are treated like normal - characters. - - Backslashes not followed by double quotes are not special. - - But 2*n+1 backslashes followed by a double quote become - n backslashes followed by a double quote (n >= 0): - \" -> " - \\\" -> \" - \\\\\" -> \\" - */ -#define SHELL_SPECIAL_CHARS "\"\\ \001\002\003\004\005\006\007\010\011\012\013\014\015\016\017\020\021\022\023\024\025\026\027\030\031\032\033\034\035\036\037" -#define SHELL_SPACE_CHARS " \001\002\003\004\005\006\007\010\011\012\013\014\015\016\017\020\021\022\023\024\025\026\027\030\031\032\033\034\035\036\037" -char ** -prepare_spawn (char **argv) -{ - size_t argc; - char **new_argv; - size_t i; - - /* Count number of arguments. */ - for (argc = 0; argv[argc] != NULL; argc++) - ; - - /* Allocate new argument vector. */ - new_argv = XMALLOC (char *, argc + 1); - - /* Put quoted arguments into the new argument vector. */ - for (i = 0; i < argc; i++) - { - const char *string = argv[i]; - - if (string[0] == '\0') - new_argv[i] = xstrdup ("\"\""); - else if (strpbrk (string, SHELL_SPECIAL_CHARS) != NULL) - { - int quote_around = (strpbrk (string, SHELL_SPACE_CHARS) != NULL); - size_t length; - unsigned int backslashes; - const char *s; - char *quoted_string; - char *p; - - length = 0; - backslashes = 0; - if (quote_around) - length++; - for (s = string; *s != '\0'; s++) - { - char c = *s; - if (c == '"') - length += backslashes + 1; - length++; - if (c == '\\') - backslashes++; - else - backslashes = 0; - } - if (quote_around) - length += backslashes + 1; - - quoted_string = XMALLOC (char, length + 1); - - p = quoted_string; - backslashes = 0; - if (quote_around) - *p++ = '"'; - for (s = string; *s != '\0'; s++) - { - char c = *s; - if (c == '"') - { - unsigned int j; - for (j = backslashes + 1; j > 0; j--) - *p++ = '\\'; - } - *p++ = c; - if (c == '\\') - backslashes++; - else - backslashes = 0; - } - if (quote_around) - { - unsigned int j; - for (j = backslashes; j > 0; j--) - *p++ = '\\'; - *p++ = '"'; - } - *p = '\0'; - - new_argv[i] = quoted_string; - } - else - new_argv[i] = (char *) string; - } - new_argv[argc] = NULL; - - return new_argv; -} -EOF - ;; - esac - - cat <<"EOF" -void lt_dump_script (FILE* f) -{ -EOF - func_emit_wrapper yes | - $SED -n -e ' -s/^\(.\{79\}\)\(..*\)/\1\ -\2/ -h -s/\([\\"]\)/\\\1/g -s/$/\\n/ -s/\([^\n]*\).*/ fputs ("\1", f);/p -g -D' - cat <<"EOF" -} -EOF -} -# end: func_emit_cwrapperexe_src - -# func_win32_import_lib_p ARG -# True if ARG is an import lib, as indicated by $file_magic_cmd -func_win32_import_lib_p () -{ - $debug_cmd - - case `eval $file_magic_cmd \"\$1\" 2>/dev/null | $SED -e 10q` in - *import*) : ;; - *) false ;; - esac -} - -# func_suncc_cstd_abi -# !!ONLY CALL THIS FOR SUN CC AFTER $compile_command IS FULLY EXPANDED!! -# Several compiler flags select an ABI that is incompatible with the -# Cstd library. Avoid specifying it if any are in CXXFLAGS. -func_suncc_cstd_abi () -{ - $debug_cmd - - case " $compile_command " in - *" -compat=g "*|*\ -std=c++[0-9][0-9]\ *|*" -library=stdcxx4 "*|*" -library=stlport4 "*) - suncc_use_cstd_abi=no - ;; - *) - suncc_use_cstd_abi=yes - ;; - esac -} - -# func_mode_link arg... -func_mode_link () -{ - $debug_cmd - - case $host in - *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-cegcc*) - # It is impossible to link a dll without this setting, and - # we shouldn't force the makefile maintainer to figure out - # what system we are compiling for in order to pass an extra - # flag for every libtool invocation. - # allow_undefined=no - - # FIXME: Unfortunately, there are problems with the above when trying - # to make a dll that has undefined symbols, in which case not - # even a static library is built. For now, we need to specify - # -no-undefined on the libtool link line when we can be certain - # that all symbols are satisfied, otherwise we get a static library. - allow_undefined=yes - ;; - *) - allow_undefined=yes - ;; - esac - libtool_args=$nonopt - base_compile="$nonopt $@" - compile_command=$nonopt - finalize_command=$nonopt - - compile_rpath= - finalize_rpath= - compile_shlibpath= - finalize_shlibpath= - convenience= - old_convenience= - deplibs= - old_deplibs= - compiler_flags= - linker_flags= - dllsearchpath= - lib_search_path=`pwd` - inst_prefix_dir= - new_inherited_linker_flags= - - avoid_version=no - bindir= - dlfiles= - dlprefiles= - dlself=no - export_dynamic=no - export_symbols= - export_symbols_regex= - generated= - libobjs= - ltlibs= - module=no - no_install=no - objs= - os2dllname= - non_pic_objects= - precious_files_regex= - prefer_static_libs=no - preload=false - prev= - prevarg= - release= - rpath= - xrpath= - perm_rpath= - temp_rpath= - thread_safe=no - vinfo= - vinfo_number=no - weak_libs= - single_module=$wl-single_module - func_infer_tag $base_compile - - # We need to know -static, to get the right output filenames. - for arg - do - case $arg in - -shared) - test yes != "$build_libtool_libs" \ - && func_fatal_configuration "cannot build a shared library" - build_old_libs=no - break - ;; 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then - case $prev in - output) - func_append compile_command " @OUTPUT@" - func_append finalize_command " @OUTPUT@" - ;; - esac - - case $prev in - bindir) - bindir=$arg - prev= - continue - ;; - dlfiles|dlprefiles) - $preload || { - # Add the symbol object into the linking commands. - func_append compile_command " @SYMFILE@" - func_append finalize_command " @SYMFILE@" - preload=: - } - case $arg in - *.la | *.lo) ;; # We handle these cases below. - force) - if test no = "$dlself"; then - dlself=needless - export_dynamic=yes - fi - prev= - continue - ;; - self) - if test dlprefiles = "$prev"; then - dlself=yes - elif test dlfiles = "$prev" && test yes != "$dlopen_self"; then - dlself=yes - else - dlself=needless - export_dynamic=yes - fi - prev= - continue - ;; - *) - if test dlfiles = "$prev"; then - func_append dlfiles " $arg" - else - func_append dlprefiles " $arg" - fi - prev= - continue - ;; - esac - ;; - expsyms) - export_symbols=$arg - test -f "$arg" \ - || func_fatal_error "symbol file '$arg' does not exist" - prev= - continue - ;; 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then - # Prepend the subdirectory the object is found in. - pic_object=$xdir$pic_object - - if test dlfiles = "$prev"; then - if test yes = "$build_libtool_libs" && test yes = "$dlopen_support"; then - func_append dlfiles " $pic_object" - prev= - continue - else - # If libtool objects are unsupported, then we need to preload. - prev=dlprefiles - fi - fi - - # CHECK ME: I think I busted this. -Ossama - if test dlprefiles = "$prev"; then - # Preload the old-style object. - func_append dlprefiles " $pic_object" - prev= - fi - - # A PIC object. - func_append libobjs " $pic_object" - arg=$pic_object - fi - - # Non-PIC object. - if test none != "$non_pic_object"; then - # Prepend the subdirectory the object is found in. - non_pic_object=$xdir$non_pic_object - - # A standard non-PIC object - func_append non_pic_objects " $non_pic_object" - if test -z "$pic_object" || test none = "$pic_object"; then - arg=$non_pic_object - fi - else - # If the PIC object exists, use it instead. - # $xdir was prepended to $pic_object above. - non_pic_object=$pic_object - func_append non_pic_objects " $non_pic_object" - fi - else - # Only an error if not doing a dry-run. - if $opt_dry_run; 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It would break on at least - # Digital Unix and AIX. - continue - ;; - - -thread-safe) - thread_safe=yes - continue - ;; - - -version-info) - prev=vinfo - continue - ;; - - -version-number) - prev=vinfo - vinfo_number=yes - continue - ;; - - -weak) - prev=weak - continue - ;; - - -Wc,*) - func_stripname '-Wc,' '' "$arg" - args=$func_stripname_result - arg= - save_ifs=$IFS; IFS=, - for flag in $args; do - IFS=$save_ifs - func_quote_for_eval "$flag" - func_append arg " $func_quote_for_eval_result" - func_append compiler_flags " $func_quote_for_eval_result" - done - IFS=$save_ifs - func_stripname ' ' '' "$arg" - arg=$func_stripname_result - ;; - - -Wl,*) - func_stripname '-Wl,' '' "$arg" - args=$func_stripname_result - arg= - save_ifs=$IFS; IFS=, - for flag in $args; do - IFS=$save_ifs - func_quote_for_eval "$flag" - func_append arg " $wl$func_quote_for_eval_result" - func_append compiler_flags " $wl$func_quote_for_eval_result" - func_append linker_flags " $func_quote_for_eval_result" - done - IFS=$save_ifs - func_stripname ' ' '' "$arg" - arg=$func_stripname_result - ;; 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then - if test yes = "$build_libtool_libs" && test yes = "$dlopen_support"; then - func_append dlfiles " $pic_object" - prev= - continue - else - # If libtool objects are unsupported, then we need to preload. - prev=dlprefiles - fi - fi - - # CHECK ME: I think I busted this. -Ossama - if test dlprefiles = "$prev"; then - # Preload the old-style object. - func_append dlprefiles " $pic_object" - prev= - fi - - # A PIC object. - func_append libobjs " $pic_object" - arg=$pic_object - } - - # Non-PIC object. - if test none != "$non_pic_object"; then - # Prepend the subdirectory the object is found in. - non_pic_object=$xdir$non_pic_object - - # A standard non-PIC object - func_append non_pic_objects " $non_pic_object" - if test -z "$pic_object" || test none = "$pic_object"; then - arg=$non_pic_object - fi - else - # If the PIC object exists, use it instead. - # $xdir was prepended to $pic_object above. - non_pic_object=$pic_object - func_append non_pic_objects " $non_pic_object" - fi - else - # Only an error if not doing a dry-run. - if $opt_dry_run; then - # Extract subdirectory from the argument. - func_dirname "$arg" "/" "" - xdir=$func_dirname_result - - func_lo2o "$arg" - pic_object=$xdir$objdir/$func_lo2o_result - non_pic_object=$xdir$func_lo2o_result - func_append libobjs " $pic_object" - func_append non_pic_objects " $non_pic_object" - else - func_fatal_error "'$arg' is not a valid libtool object" - fi - fi - ;; - - *.$libext) - # An archive. - func_append deplibs " $arg" - func_append old_deplibs " $arg" - continue - ;; - - *.la) - # A libtool-controlled library. - - func_resolve_sysroot "$arg" - if test dlfiles = "$prev"; then - # This library was specified with -dlopen. - func_append dlfiles " $func_resolve_sysroot_result" - prev= - elif test dlprefiles = "$prev"; then - # The library was specified with -dlpreopen. - func_append dlprefiles " $func_resolve_sysroot_result" - prev= - else - func_append deplibs " $func_resolve_sysroot_result" - fi - continue - ;; - - # Some other compiler argument. - *) - # Unknown arguments in both finalize_command and compile_command need - # to be aesthetically quoted because they are evaled later. - func_quote_for_eval "$arg" - arg=$func_quote_for_eval_result - ;; - esac # arg - - # Now actually substitute the argument into the commands. - if test -n "$arg"; then - func_append compile_command " $arg" - func_append finalize_command " $arg" - fi - done # argument parsing loop - - test -n "$prev" && \ - func_fatal_help "the '$prevarg' option requires an argument" - - if test yes = "$export_dynamic" && test -n "$export_dynamic_flag_spec"; then - eval arg=\"$export_dynamic_flag_spec\" - func_append compile_command " $arg" - func_append finalize_command " $arg" - fi - - oldlibs= - # calculate the name of the file, without its directory - func_basename "$output" - outputname=$func_basename_result - libobjs_save=$libobjs - - if test -n "$shlibpath_var"; then - # get the directories listed in $shlibpath_var - eval shlib_search_path=\`\$ECHO \"\$$shlibpath_var\" \| \$SED \'s/:/ /g\'\` - else - shlib_search_path= - fi - eval sys_lib_search_path=\"$sys_lib_search_path_spec\" - eval sys_lib_dlsearch_path=\"$sys_lib_dlsearch_path_spec\" - - # Definition is injected by LT_CONFIG during libtool generation. - func_munge_path_list sys_lib_dlsearch_path "$LT_SYS_LIBRARY_PATH" - - func_dirname "$output" "/" "" - output_objdir=$func_dirname_result$objdir - func_to_tool_file "$output_objdir/" - tool_output_objdir=$func_to_tool_file_result - # Create the object directory. - func_mkdir_p "$output_objdir" - - # Determine the type of output - case $output in - "") - func_fatal_help "you must specify an output file" - ;; - *.$libext) linkmode=oldlib ;; - *.lo | *.$objext) linkmode=obj ;; - *.la) linkmode=lib ;; - *) linkmode=prog ;; # Anything else should be a program. - esac - - specialdeplibs= - - libs= - # Find all interdependent deplibs by searching for libraries - # that are linked more than once (e.g. -la -lb -la) - for deplib in $deplibs; do - if $opt_preserve_dup_deps; then - case "$libs " in - *" $deplib "*) func_append specialdeplibs " $deplib" ;; - esac - fi - func_append libs " $deplib" - done - - if test lib = "$linkmode"; then - libs="$predeps $libs $compiler_lib_search_path $postdeps" - - # Compute libraries that are listed more than once in $predeps - # $postdeps and mark them as special (i.e., whose duplicates are - # not to be eliminated). - pre_post_deps= - if $opt_duplicate_compiler_generated_deps; then - for pre_post_dep in $predeps $postdeps; do - case "$pre_post_deps " in - *" $pre_post_dep "*) func_append specialdeplibs " $pre_post_deps" ;; - esac - func_append pre_post_deps " $pre_post_dep" - done - fi - pre_post_deps= - fi - - deplibs= - newdependency_libs= - newlib_search_path= - need_relink=no # whether we're linking any uninstalled libtool libraries - notinst_deplibs= # not-installed libtool libraries - notinst_path= # paths that contain not-installed libtool libraries - - case $linkmode in - lib) - passes="conv dlpreopen link" - for file in $dlfiles $dlprefiles; do - case $file in - *.la) ;; - *) - func_fatal_help "libraries can '-dlopen' only libtool libraries: $file" - ;; - esac - done - ;; - prog) - compile_deplibs= - finalize_deplibs= - alldeplibs=false - newdlfiles= - newdlprefiles= - passes="conv scan dlopen dlpreopen link" - ;; - *) passes="conv" - ;; - esac - - for pass in $passes; do - # The preopen pass in lib mode reverses $deplibs; put it back here - # so that -L comes before libs that need it for instance... - if test lib,link = "$linkmode,$pass"; then - ## FIXME: Find the place where the list is rebuilt in the wrong - ## order, and fix it there properly - tmp_deplibs= - for deplib in $deplibs; do - tmp_deplibs="$deplib $tmp_deplibs" - done - deplibs=$tmp_deplibs - fi - - if test lib,link = "$linkmode,$pass" || - test prog,scan = "$linkmode,$pass"; then - libs=$deplibs - deplibs= - fi - if test prog = "$linkmode"; then - case $pass in - dlopen) libs=$dlfiles ;; - dlpreopen) libs=$dlprefiles ;; - link) libs="$deplibs %DEPLIBS% $dependency_libs" ;; - esac - fi - if test lib,dlpreopen = "$linkmode,$pass"; then - # Collect and forward deplibs of preopened libtool libs - for lib in $dlprefiles; do - # Ignore non-libtool-libs - dependency_libs= - func_resolve_sysroot "$lib" - case $lib in - *.la) func_source "$func_resolve_sysroot_result" ;; - esac - - # Collect preopened libtool deplibs, except any this library - # has declared as weak libs - for deplib in $dependency_libs; do - func_basename "$deplib" - deplib_base=$func_basename_result - case " $weak_libs " in - *" $deplib_base "*) ;; - *) func_append deplibs " $deplib" ;; - esac - done - done - libs=$dlprefiles - fi - if test dlopen = "$pass"; then - # Collect dlpreopened libraries - save_deplibs=$deplibs - deplibs= - fi - - for deplib in $libs; do - lib= - found=false - case $deplib in - -mt|-mthreads|-kthread|-Kthread|-pthread|-pthreads|--thread-safe \ - |-threads|-fopenmp|-openmp|-mp|-xopenmp|-omp|-qsmp=*) - if test prog,link = "$linkmode,$pass"; then - compile_deplibs="$deplib $compile_deplibs" - finalize_deplibs="$deplib $finalize_deplibs" - else - func_append compiler_flags " $deplib" - if test lib = "$linkmode"; then - case "$new_inherited_linker_flags " in - *" $deplib "*) ;; - * ) func_append new_inherited_linker_flags " $deplib" ;; - esac - fi - fi - continue - ;; - -l*) - if test lib != "$linkmode" && test prog != "$linkmode"; then - func_warning "'-l' is ignored for archives/objects" - continue - fi - func_stripname '-l' '' "$deplib" - name=$func_stripname_result - if test lib = "$linkmode"; then - searchdirs="$newlib_search_path $lib_search_path $compiler_lib_search_dirs $sys_lib_search_path $shlib_search_path" - else - searchdirs="$newlib_search_path $lib_search_path $sys_lib_search_path $shlib_search_path" - fi - for searchdir in $searchdirs; do - for search_ext in .la $std_shrext .so .a; do - # Search the libtool library - lib=$searchdir/lib$name$search_ext - if test -f "$lib"; then - if test .la = "$search_ext"; then - found=: - else - found=false - fi - break 2 - fi - done - done - if $found; then - # deplib is a libtool library - # If $allow_libtool_libs_with_static_runtimes && $deplib is a stdlib, - # We need to do some special things here, and not later. - if test yes = "$allow_libtool_libs_with_static_runtimes"; then - case " $predeps $postdeps " in - *" $deplib "*) - if func_lalib_p "$lib"; then - library_names= - old_library= - func_source "$lib" - for l in $old_library $library_names; do - ll=$l - done - if test "X$ll" = "X$old_library"; then # only static version available - found=false - func_dirname "$lib" "" "." - ladir=$func_dirname_result - lib=$ladir/$old_library - if test prog,link = "$linkmode,$pass"; then - compile_deplibs="$deplib $compile_deplibs" - finalize_deplibs="$deplib $finalize_deplibs" - else - deplibs="$deplib $deplibs" - test lib = "$linkmode" && newdependency_libs="$deplib $newdependency_libs" - fi - continue - fi - fi - ;; - *) ;; - esac - fi - else - # deplib doesn't seem to be a libtool library - if test prog,link = "$linkmode,$pass"; then - compile_deplibs="$deplib $compile_deplibs" - finalize_deplibs="$deplib $finalize_deplibs" - else - deplibs="$deplib $deplibs" - test lib = "$linkmode" && newdependency_libs="$deplib $newdependency_libs" - fi - continue - fi - ;; # -l - *.ltframework) - if test prog,link = "$linkmode,$pass"; then - compile_deplibs="$deplib $compile_deplibs" - finalize_deplibs="$deplib $finalize_deplibs" - else - deplibs="$deplib $deplibs" - if test lib = "$linkmode"; then - case "$new_inherited_linker_flags " in - *" $deplib "*) ;; - * ) func_append new_inherited_linker_flags " $deplib" ;; - esac - fi - fi - continue - ;; - -L*) - case $linkmode in - lib) - deplibs="$deplib $deplibs" - test conv = "$pass" && continue - newdependency_libs="$deplib $newdependency_libs" - func_stripname '-L' '' "$deplib" - func_resolve_sysroot "$func_stripname_result" - func_append newlib_search_path " $func_resolve_sysroot_result" - ;; - prog) - if test conv = "$pass"; then - deplibs="$deplib $deplibs" - continue - fi - if test scan = "$pass"; then - deplibs="$deplib $deplibs" - else - compile_deplibs="$deplib $compile_deplibs" - finalize_deplibs="$deplib $finalize_deplibs" - fi - func_stripname '-L' '' "$deplib" - func_resolve_sysroot "$func_stripname_result" - func_append newlib_search_path " $func_resolve_sysroot_result" - ;; - *) - func_warning "'-L' is ignored for archives/objects" - ;; - esac # linkmode - continue - ;; # -L - -R*) - if test link = "$pass"; then - func_stripname '-R' '' "$deplib" - func_resolve_sysroot "$func_stripname_result" - dir=$func_resolve_sysroot_result - # Make sure the xrpath contains only unique directories. - case "$xrpath " in - *" $dir "*) ;; - *) func_append xrpath " $dir" ;; - esac - fi - deplibs="$deplib $deplibs" - continue - ;; - *.la) - func_resolve_sysroot "$deplib" - lib=$func_resolve_sysroot_result - ;; - *.$libext) - if test conv = "$pass"; then - deplibs="$deplib $deplibs" - continue - fi - case $linkmode in - lib) - # Linking convenience modules into shared libraries is allowed, - # but linking other static libraries is non-portable. - case " $dlpreconveniencelibs " in - *" $deplib "*) ;; - *) - valid_a_lib=false - case $deplibs_check_method in - match_pattern*) - set dummy $deplibs_check_method; shift - match_pattern_regex=`expr "$deplibs_check_method" : "$1 \(.*\)"` - if eval "\$ECHO \"$deplib\"" 2>/dev/null | $SED 10q \ - | $EGREP "$match_pattern_regex" > /dev/null; then - valid_a_lib=: - fi - ;; - pass_all) - valid_a_lib=: - ;; - esac - if $valid_a_lib; then - echo - $ECHO "*** Warning: Linking the shared library $output against the" - $ECHO "*** static library $deplib is not portable!" - deplibs="$deplib $deplibs" - else - echo - $ECHO "*** Warning: Trying to link with static lib archive $deplib." - echo "*** I have the capability to make that library automatically link in when" - echo "*** you link to this library. But I can only do this if you have a" - echo "*** shared version of the library, which you do not appear to have" - echo "*** because the file extensions .$libext of this argument makes me believe" - echo "*** that it is just a static archive that I should not use here." - fi - ;; - esac - continue - ;; - prog) - if test link != "$pass"; then - deplibs="$deplib $deplibs" - else - compile_deplibs="$deplib $compile_deplibs" - finalize_deplibs="$deplib $finalize_deplibs" - fi - continue - ;; - esac # linkmode - ;; # *.$libext - *.lo | *.$objext) - if test conv = "$pass"; then - deplibs="$deplib $deplibs" - elif test prog = "$linkmode"; then - if test dlpreopen = "$pass" || test yes != "$dlopen_support" || test no = "$build_libtool_libs"; then - # If there is no dlopen support or we're linking statically, - # we need to preload. - func_append newdlprefiles " $deplib" - compile_deplibs="$deplib $compile_deplibs" - finalize_deplibs="$deplib $finalize_deplibs" - else - func_append newdlfiles " $deplib" - fi - fi - continue - ;; - %DEPLIBS%) - alldeplibs=: - continue - ;; - esac # case $deplib - - $found || test -f "$lib" \ - || func_fatal_error "cannot find the library '$lib' or unhandled argument '$deplib'" - - # Check to see that this really is a libtool archive. - func_lalib_unsafe_p "$lib" \ - || func_fatal_error "'$lib' is not a valid libtool archive" - - func_dirname "$lib" "" "." - ladir=$func_dirname_result - - dlname= - dlopen= - dlpreopen= - libdir= - library_names= - old_library= - inherited_linker_flags= - # If the library was installed with an old release of libtool, - # it will not redefine variables installed, or shouldnotlink - installed=yes - shouldnotlink=no - avoidtemprpath= - - - # Read the .la file - func_source "$lib" - - # Convert "-framework foo" to "foo.ltframework" - if test -n "$inherited_linker_flags"; then - tmp_inherited_linker_flags=`$ECHO "$inherited_linker_flags" | $SED 's/-framework \([^ $]*\)/\1.ltframework/g'` - for tmp_inherited_linker_flag in $tmp_inherited_linker_flags; do - case " $new_inherited_linker_flags " in - *" $tmp_inherited_linker_flag "*) ;; - *) func_append new_inherited_linker_flags " $tmp_inherited_linker_flag";; - esac - done - fi - dependency_libs=`$ECHO " $dependency_libs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` - if test lib,link = "$linkmode,$pass" || - test prog,scan = "$linkmode,$pass" || - { test prog != "$linkmode" && test lib != "$linkmode"; }; then - test -n "$dlopen" && func_append dlfiles " $dlopen" - test -n "$dlpreopen" && func_append dlprefiles " $dlpreopen" - fi - - if test conv = "$pass"; then - # Only check for convenience libraries - deplibs="$lib $deplibs" - if test -z "$libdir"; then - if test -z "$old_library"; then - func_fatal_error "cannot find name of link library for '$lib'" - fi - # It is a libtool convenience library, so add in its objects. - func_append convenience " $ladir/$objdir/$old_library" - func_append old_convenience " $ladir/$objdir/$old_library" - elif test prog != "$linkmode" && test lib != "$linkmode"; then - func_fatal_error "'$lib' is not a convenience library" - fi - tmp_libs= - for deplib in $dependency_libs; do - deplibs="$deplib $deplibs" - if $opt_preserve_dup_deps; then - case "$tmp_libs " in - *" $deplib "*) func_append specialdeplibs " $deplib" ;; - esac - fi - func_append tmp_libs " $deplib" - done - continue - fi # $pass = conv - - - # Get the name of the library we link against. - linklib= - if test -n "$old_library" && - { test yes = "$prefer_static_libs" || - test built,no = "$prefer_static_libs,$installed"; }; then - linklib=$old_library - else - for l in $old_library $library_names; do - linklib=$l - done - fi - if test -z "$linklib"; then - func_fatal_error "cannot find name of link library for '$lib'" - fi - - # This library was specified with -dlopen. - if test dlopen = "$pass"; then - test -z "$libdir" \ - && func_fatal_error "cannot -dlopen a convenience library: '$lib'" - if test -z "$dlname" || - test yes != "$dlopen_support" || - test no = "$build_libtool_libs" - then - # If there is no dlname, no dlopen support or we're linking - # statically, we need to preload. We also need to preload any - # dependent libraries so libltdl's deplib preloader doesn't - # bomb out in the load deplibs phase. - func_append dlprefiles " $lib $dependency_libs" - else - func_append newdlfiles " $lib" - fi - continue - fi # $pass = dlopen - - # We need an absolute path. - case $ladir in - [\\/]* | [A-Za-z]:[\\/]*) abs_ladir=$ladir ;; - *) - abs_ladir=`cd "$ladir" && pwd` - if test -z "$abs_ladir"; then - func_warning "cannot determine absolute directory name of '$ladir'" - func_warning "passing it literally to the linker, although it might fail" - abs_ladir=$ladir - fi - ;; - esac - func_basename "$lib" - laname=$func_basename_result - - # Find the relevant object directory and library name. - if test yes = "$installed"; then - if test ! -f "$lt_sysroot$libdir/$linklib" && test -f "$abs_ladir/$linklib"; then - func_warning "library '$lib' was moved." - dir=$ladir - absdir=$abs_ladir - libdir=$abs_ladir - else - dir=$lt_sysroot$libdir - absdir=$lt_sysroot$libdir - fi - test yes = "$hardcode_automatic" && avoidtemprpath=yes - else - if test ! -f "$ladir/$objdir/$linklib" && test -f "$abs_ladir/$linklib"; then - dir=$ladir - absdir=$abs_ladir - # Remove this search path later - func_append notinst_path " $abs_ladir" - else - dir=$ladir/$objdir - absdir=$abs_ladir/$objdir - # Remove this search path later - func_append notinst_path " $abs_ladir" - fi - fi # $installed = yes - func_stripname 'lib' '.la' "$laname" - name=$func_stripname_result - - # This library was specified with -dlpreopen. - if test dlpreopen = "$pass"; then - if test -z "$libdir" && test prog = "$linkmode"; then - func_fatal_error "only libraries may -dlpreopen a convenience library: '$lib'" - fi - case $host in - # special handling for platforms with PE-DLLs. - *cygwin* | *mingw* | *cegcc* ) - # Linker will automatically link against shared library if both - # static and shared are present. Therefore, ensure we extract - # symbols from the import library if a shared library is present - # (otherwise, the dlopen module name will be incorrect). We do - # this by putting the import library name into $newdlprefiles. - # We recover the dlopen module name by 'saving' the la file - # name in a special purpose variable, and (later) extracting the - # dlname from the la file. - if test -n "$dlname"; then - func_tr_sh "$dir/$linklib" - eval "libfile_$func_tr_sh_result=\$abs_ladir/\$laname" - func_append newdlprefiles " $dir/$linklib" - else - func_append newdlprefiles " $dir/$old_library" - # Keep a list of preopened convenience libraries to check - # that they are being used correctly in the link pass. - test -z "$libdir" && \ - func_append dlpreconveniencelibs " $dir/$old_library" - fi - ;; - * ) - # Prefer using a static library (so that no silly _DYNAMIC symbols - # are required to link). - if test -n "$old_library"; then - func_append newdlprefiles " $dir/$old_library" - # Keep a list of preopened convenience libraries to check - # that they are being used correctly in the link pass. - test -z "$libdir" && \ - func_append dlpreconveniencelibs " $dir/$old_library" - # Otherwise, use the dlname, so that lt_dlopen finds it. - elif test -n "$dlname"; then - func_append newdlprefiles " $dir/$dlname" - else - func_append newdlprefiles " $dir/$linklib" - fi - ;; - esac - fi # $pass = dlpreopen - - if test -z "$libdir"; then - # Link the convenience library - if test lib = "$linkmode"; then - deplibs="$dir/$old_library $deplibs" - elif test prog,link = "$linkmode,$pass"; then - compile_deplibs="$dir/$old_library $compile_deplibs" - finalize_deplibs="$dir/$old_library $finalize_deplibs" - else - deplibs="$lib $deplibs" # used for prog,scan pass - fi - continue - fi - - - if test prog = "$linkmode" && test link != "$pass"; then - func_append newlib_search_path " $ladir" - deplibs="$lib $deplibs" - - linkalldeplibs=false - if test no != "$link_all_deplibs" || test -z "$library_names" || - test no = "$build_libtool_libs"; then - linkalldeplibs=: - fi - - tmp_libs= - for deplib in $dependency_libs; do - case $deplib in - -L*) func_stripname '-L' '' "$deplib" - func_resolve_sysroot "$func_stripname_result" - func_append newlib_search_path " $func_resolve_sysroot_result" - ;; - esac - # Need to link against all dependency_libs? - if $linkalldeplibs; then - deplibs="$deplib $deplibs" - else - # Need to hardcode shared library paths - # or/and link against static libraries - newdependency_libs="$deplib $newdependency_libs" - fi - if $opt_preserve_dup_deps; then - case "$tmp_libs " in - *" $deplib "*) func_append specialdeplibs " $deplib" ;; - esac - fi - func_append tmp_libs " $deplib" - done # for deplib - continue - fi # $linkmode = prog... - - if test prog,link = "$linkmode,$pass"; then - if test -n "$library_names" && - { { test no = "$prefer_static_libs" || - test built,yes = "$prefer_static_libs,$installed"; } || - test -z "$old_library"; }; then - # We need to hardcode the library path - if test -n "$shlibpath_var" && test -z "$avoidtemprpath"; then - # Make sure the rpath contains only unique directories. - case $temp_rpath: in - *"$absdir:"*) ;; - *) func_append temp_rpath "$absdir:" ;; - esac - fi - - # Hardcode the library path. - # Skip directories that are in the system default run-time - # search path. - case " $sys_lib_dlsearch_path " in - *" $absdir "*) ;; - *) - case "$compile_rpath " in - *" $absdir "*) ;; - *) func_append compile_rpath " $absdir" ;; - esac - ;; - esac - case " $sys_lib_dlsearch_path " in - *" $libdir "*) ;; - *) - case "$finalize_rpath " in - *" $libdir "*) ;; - *) func_append finalize_rpath " $libdir" ;; - esac - ;; - esac - fi # $linkmode,$pass = prog,link... - - if $alldeplibs && - { test pass_all = "$deplibs_check_method" || - { test yes = "$build_libtool_libs" && - test -n "$library_names"; }; }; then - # We only need to search for static libraries - continue - fi - fi - - link_static=no # Whether the deplib will be linked statically - use_static_libs=$prefer_static_libs - if test built = "$use_static_libs" && test yes = "$installed"; then - use_static_libs=no - fi - if test -n "$library_names" && - { test no = "$use_static_libs" || test -z "$old_library"; }; then - case $host in - *cygwin* | *mingw* | *cegcc* | *os2*) - # No point in relinking DLLs because paths are not encoded - func_append notinst_deplibs " $lib" - need_relink=no - ;; - *) - if test no = "$installed"; then - func_append notinst_deplibs " $lib" - need_relink=yes - fi - ;; - esac - # This is a shared library - - # Warn about portability, can't link against -module's on some - # systems (darwin). Don't bleat about dlopened modules though! - dlopenmodule= - for dlpremoduletest in $dlprefiles; do - if test "X$dlpremoduletest" = "X$lib"; then - dlopenmodule=$dlpremoduletest - break - fi - done - if test -z "$dlopenmodule" && test yes = "$shouldnotlink" && test link = "$pass"; then - echo - if test prog = "$linkmode"; then - $ECHO "*** Warning: Linking the executable $output against the loadable module" - else - $ECHO "*** Warning: Linking the shared library $output against the loadable module" - fi - $ECHO "*** $linklib is not portable!" - fi - if test lib = "$linkmode" && - test yes = "$hardcode_into_libs"; then - # Hardcode the library path. - # Skip directories that are in the system default run-time - # search path. - case " $sys_lib_dlsearch_path " in - *" $absdir "*) ;; - *) - case "$compile_rpath " in - *" $absdir "*) ;; - *) func_append compile_rpath " $absdir" ;; - esac - ;; - esac - case " $sys_lib_dlsearch_path " in - *" $libdir "*) ;; - *) - case "$finalize_rpath " in - *" $libdir "*) ;; - *) func_append finalize_rpath " $libdir" ;; - esac - ;; - esac - fi - - if test -n "$old_archive_from_expsyms_cmds"; then - # figure out the soname - set dummy $library_names - shift - realname=$1 - shift - libname=`eval "\\$ECHO \"$libname_spec\""` - # use dlname if we got it. it's perfectly good, no? - if test -n "$dlname"; then - soname=$dlname - elif test -n "$soname_spec"; then - # bleh windows - case $host in - *cygwin* | mingw* | *cegcc* | *os2*) - func_arith $current - $age - major=$func_arith_result - versuffix=-$major - ;; - esac - eval soname=\"$soname_spec\" - else - soname=$realname - fi - - # Make a new name for the extract_expsyms_cmds to use - soroot=$soname - func_basename "$soroot" - soname=$func_basename_result - func_stripname 'lib' '.dll' "$soname" - newlib=libimp-$func_stripname_result.a - - # If the library has no export list, then create one now - if test -f "$output_objdir/$soname-def"; then : - else - func_verbose "extracting exported symbol list from '$soname'" - func_execute_cmds "$extract_expsyms_cmds" 'exit $?' - fi - - # Create $newlib - if test -f "$output_objdir/$newlib"; then :; else - func_verbose "generating import library for '$soname'" - func_execute_cmds "$old_archive_from_expsyms_cmds" 'exit $?' - fi - # make sure the library variables are pointing to the new library - dir=$output_objdir - linklib=$newlib - fi # test -n "$old_archive_from_expsyms_cmds" - - if test prog = "$linkmode" || test relink != "$opt_mode"; then - add_shlibpath= - add_dir= - add= - lib_linked=yes - case $hardcode_action in - immediate | unsupported) - if test no = "$hardcode_direct"; then - add=$dir/$linklib - case $host in - *-*-sco3.2v5.0.[024]*) add_dir=-L$dir ;; - *-*-sysv4*uw2*) add_dir=-L$dir ;; - *-*-sysv5OpenUNIX* | *-*-sysv5UnixWare7.[01].[10]* | \ - *-*-unixware7*) add_dir=-L$dir ;; - *-*-darwin* ) - # if the lib is a (non-dlopened) module then we cannot - # link against it, someone is ignoring the earlier warnings - if /usr/bin/file -L $add 2> /dev/null | - $GREP ": [^:]* bundle" >/dev/null; then - if test "X$dlopenmodule" != "X$lib"; then - $ECHO "*** Warning: lib $linklib is a module, not a shared library" - if test -z "$old_library"; then - echo - echo "*** And there doesn't seem to be a static archive available" - echo "*** The link will probably fail, sorry" - else - add=$dir/$old_library - fi - elif test -n "$old_library"; then - add=$dir/$old_library - fi - fi - esac - elif test no = "$hardcode_minus_L"; then - case $host in - *-*-sunos*) add_shlibpath=$dir ;; - esac - add_dir=-L$dir - add=-l$name - elif test no = "$hardcode_shlibpath_var"; then - add_shlibpath=$dir - add=-l$name - else - lib_linked=no - fi - ;; - relink) - if test yes = "$hardcode_direct" && - test no = "$hardcode_direct_absolute"; then - add=$dir/$linklib - elif test yes = "$hardcode_minus_L"; then - add_dir=-L$absdir - # Try looking first in the location we're being installed to. - if test -n "$inst_prefix_dir"; then - case $libdir in - [\\/]*) - func_append add_dir " -L$inst_prefix_dir$libdir" - ;; - esac - fi - add=-l$name - elif test yes = "$hardcode_shlibpath_var"; then - add_shlibpath=$dir - add=-l$name - else - lib_linked=no - fi - ;; - *) lib_linked=no ;; - esac - - if test yes != "$lib_linked"; then - func_fatal_configuration "unsupported hardcode properties" - fi - - if test -n "$add_shlibpath"; then - case :$compile_shlibpath: in - *":$add_shlibpath:"*) ;; - *) func_append compile_shlibpath "$add_shlibpath:" ;; - esac - fi - if test prog = "$linkmode"; then - test -n "$add_dir" && compile_deplibs="$add_dir $compile_deplibs" - test -n "$add" && compile_deplibs="$add $compile_deplibs" - else - test -n "$add_dir" && deplibs="$add_dir $deplibs" - test -n "$add" && deplibs="$add $deplibs" - if test yes != "$hardcode_direct" && - test yes != "$hardcode_minus_L" && - test yes = "$hardcode_shlibpath_var"; then - case :$finalize_shlibpath: in - *":$libdir:"*) ;; - *) func_append finalize_shlibpath "$libdir:" ;; - esac - fi - fi - fi - - if test prog = "$linkmode" || test relink = "$opt_mode"; then - add_shlibpath= - add_dir= - add= - # Finalize command for both is simple: just hardcode it. - if test yes = "$hardcode_direct" && - test no = "$hardcode_direct_absolute"; then - add=$libdir/$linklib - elif test yes = "$hardcode_minus_L"; then - add_dir=-L$libdir - add=-l$name - elif test yes = "$hardcode_shlibpath_var"; then - case :$finalize_shlibpath: in - *":$libdir:"*) ;; - *) func_append finalize_shlibpath "$libdir:" ;; - esac - add=-l$name - elif test yes = "$hardcode_automatic"; then - if test -n "$inst_prefix_dir" && - test -f "$inst_prefix_dir$libdir/$linklib"; then - add=$inst_prefix_dir$libdir/$linklib - else - add=$libdir/$linklib - fi - else - # We cannot seem to hardcode it, guess we'll fake it. - add_dir=-L$libdir - # Try looking first in the location we're being installed to. - if test -n "$inst_prefix_dir"; then - case $libdir in - [\\/]*) - func_append add_dir " -L$inst_prefix_dir$libdir" - ;; - esac - fi - add=-l$name - fi - - if test prog = "$linkmode"; then - test -n "$add_dir" && finalize_deplibs="$add_dir $finalize_deplibs" - test -n "$add" && finalize_deplibs="$add $finalize_deplibs" - else - test -n "$add_dir" && deplibs="$add_dir $deplibs" - test -n "$add" && deplibs="$add $deplibs" - fi - fi - elif test prog = "$linkmode"; then - # Here we assume that one of hardcode_direct or hardcode_minus_L - # is not unsupported. This is valid on all known static and - # shared platforms. - if test unsupported != "$hardcode_direct"; then - test -n "$old_library" && linklib=$old_library - compile_deplibs="$dir/$linklib $compile_deplibs" - finalize_deplibs="$dir/$linklib $finalize_deplibs" - else - compile_deplibs="-l$name -L$dir $compile_deplibs" - finalize_deplibs="-l$name -L$dir $finalize_deplibs" - fi - elif test yes = "$build_libtool_libs"; then - # Not a shared library - if test pass_all != "$deplibs_check_method"; then - # We're trying link a shared library against a static one - # but the system doesn't support it. - - # Just print a warning and add the library to dependency_libs so - # that the program can be linked against the static library. - echo - $ECHO "*** Warning: This system cannot link to static lib archive $lib." - echo "*** I have the capability to make that library automatically link in when" - echo "*** you link to this library. But I can only do this if you have a" - echo "*** shared version of the library, which you do not appear to have." - if test yes = "$module"; then - echo "*** But as you try to build a module library, libtool will still create " - echo "*** a static module, that should work as long as the dlopening application" - echo "*** is linked with the -dlopen flag to resolve symbols at runtime." - if test -z "$global_symbol_pipe"; then - echo - echo "*** However, this would only work if libtool was able to extract symbol" - echo "*** lists from a program, using 'nm' or equivalent, but libtool could" - echo "*** not find such a program. So, this module is probably useless." - echo "*** 'nm' from GNU binutils and a full rebuild may help." - fi - if test no = "$build_old_libs"; then - build_libtool_libs=module - build_old_libs=yes - else - build_libtool_libs=no - fi - fi - else - deplibs="$dir/$old_library $deplibs" - link_static=yes - fi - fi # link shared/static library? - - if test lib = "$linkmode"; then - if test -n "$dependency_libs" && - { test yes != "$hardcode_into_libs" || - test yes = "$build_old_libs" || - test yes = "$link_static"; }; then - # Extract -R from dependency_libs - temp_deplibs= - for libdir in $dependency_libs; do - case $libdir in - -R*) func_stripname '-R' '' "$libdir" - temp_xrpath=$func_stripname_result - case " $xrpath " in - *" $temp_xrpath "*) ;; - *) func_append xrpath " $temp_xrpath";; - esac;; - *) func_append temp_deplibs " $libdir";; - esac - done - dependency_libs=$temp_deplibs - fi - - func_append newlib_search_path " $absdir" - # Link against this library - test no = "$link_static" && newdependency_libs="$abs_ladir/$laname $newdependency_libs" - # ... and its dependency_libs - tmp_libs= - for deplib in $dependency_libs; do - newdependency_libs="$deplib $newdependency_libs" - case $deplib in - -L*) func_stripname '-L' '' "$deplib" - func_resolve_sysroot "$func_stripname_result";; - *) func_resolve_sysroot "$deplib" ;; - esac - if $opt_preserve_dup_deps; then - case "$tmp_libs " in - *" $func_resolve_sysroot_result "*) - func_append specialdeplibs " $func_resolve_sysroot_result" ;; - esac - fi - func_append tmp_libs " $func_resolve_sysroot_result" - done - - if test no != "$link_all_deplibs"; then - # Add the search paths of all dependency libraries - for deplib in $dependency_libs; do - path= - case $deplib in - -L*) path=$deplib ;; - *.la) - func_resolve_sysroot "$deplib" - deplib=$func_resolve_sysroot_result - func_dirname "$deplib" "" "." - dir=$func_dirname_result - # We need an absolute path. - case $dir in - [\\/]* | [A-Za-z]:[\\/]*) absdir=$dir ;; - *) - absdir=`cd "$dir" && pwd` - if test -z "$absdir"; then - func_warning "cannot determine absolute directory name of '$dir'" - absdir=$dir - fi - ;; - esac - if $GREP "^installed=no" $deplib > /dev/null; then - case $host in - *-*-darwin*) - depdepl= - eval deplibrary_names=`$SED -n -e 's/^library_names=\(.*\)$/\1/p' $deplib` - if test -n "$deplibrary_names"; then - for tmp in $deplibrary_names; do - depdepl=$tmp - done - if test -f "$absdir/$objdir/$depdepl"; then - depdepl=$absdir/$objdir/$depdepl - darwin_install_name=`$OTOOL -L $depdepl | awk '{if (NR == 2) {print $1;exit}}'` - if test -z "$darwin_install_name"; then - darwin_install_name=`$OTOOL64 -L $depdepl | awk '{if (NR == 2) {print $1;exit}}'` - fi - func_append compiler_flags " $wl-dylib_file $wl$darwin_install_name:$depdepl" - func_append linker_flags " -dylib_file $darwin_install_name:$depdepl" - path= - fi - fi - ;; - *) - path=-L$absdir/$objdir - ;; - esac - else - eval libdir=`$SED -n -e 's/^libdir=\(.*\)$/\1/p' $deplib` - test -z "$libdir" && \ - func_fatal_error "'$deplib' is not a valid libtool archive" - test "$absdir" != "$libdir" && \ - func_warning "'$deplib' seems to be moved" - - path=-L$absdir - fi - ;; - esac - case " $deplibs " in - *" $path "*) ;; - *) deplibs="$path $deplibs" ;; - esac - done - fi # link_all_deplibs != no - fi # linkmode = lib - done # for deplib in $libs - if test link = "$pass"; then - if test prog = "$linkmode"; then - compile_deplibs="$new_inherited_linker_flags $compile_deplibs" - finalize_deplibs="$new_inherited_linker_flags $finalize_deplibs" - else - compiler_flags="$compiler_flags "`$ECHO " $new_inherited_linker_flags" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` - fi - fi - dependency_libs=$newdependency_libs - if test dlpreopen = "$pass"; then - # Link the dlpreopened libraries before other libraries - for deplib in $save_deplibs; do - deplibs="$deplib $deplibs" - done - fi - if test dlopen != "$pass"; then - test conv = "$pass" || { - # Make sure lib_search_path contains only unique directories. - lib_search_path= - for dir in $newlib_search_path; do - case "$lib_search_path " in - *" $dir "*) ;; - *) func_append lib_search_path " $dir" ;; - esac - done - newlib_search_path= - } - - if test prog,link = "$linkmode,$pass"; then - vars="compile_deplibs finalize_deplibs" - else - vars=deplibs - fi - for var in $vars dependency_libs; do - # Add libraries to $var in reverse order - eval tmp_libs=\"\$$var\" - new_libs= - for deplib in $tmp_libs; do - # FIXME: Pedantically, this is the right thing to do, so - # that some nasty dependency loop isn't accidentally - # broken: - #new_libs="$deplib $new_libs" - # Pragmatically, this seems to cause very few problems in - # practice: - case $deplib in - -L*) new_libs="$deplib $new_libs" ;; - -R*) ;; - *) - # And here is the reason: when a library appears more - # than once as an explicit dependence of a library, or - # is implicitly linked in more than once by the - # compiler, it is considered special, and multiple - # occurrences thereof are not removed. Compare this - # with having the same library being listed as a - # dependency of multiple other libraries: in this case, - # we know (pedantically, we assume) the library does not - # need to be listed more than once, so we keep only the - # last copy. This is not always right, but it is rare - # enough that we require users that really mean to play - # such unportable linking tricks to link the library - # using -Wl,-lname, so that libtool does not consider it - # for duplicate removal. - case " $specialdeplibs " in - *" $deplib "*) new_libs="$deplib $new_libs" ;; - *) - case " $new_libs " in - *" $deplib "*) ;; - *) new_libs="$deplib $new_libs" ;; - esac - ;; - esac - ;; - esac - done - tmp_libs= - for deplib in $new_libs; do - case $deplib in - -L*) - case " $tmp_libs " in - *" $deplib "*) ;; - *) func_append tmp_libs " $deplib" ;; - esac - ;; - *) func_append tmp_libs " $deplib" ;; - esac - done - eval $var=\"$tmp_libs\" - done # for var - fi - - # Add Sun CC postdeps if required: - test CXX = "$tagname" && { - case $host_os in - linux*) - case `$CC -V 2>&1 | sed 5q` in - *Sun\ C*) # Sun C++ 5.9 - func_suncc_cstd_abi - - if test no != "$suncc_use_cstd_abi"; then - func_append postdeps ' -library=Cstd -library=Crun' - fi - ;; - esac - ;; - - solaris*) - func_cc_basename "$CC" - case $func_cc_basename_result in - CC* | sunCC*) - func_suncc_cstd_abi - - if test no != "$suncc_use_cstd_abi"; then - func_append postdeps ' -library=Cstd -library=Crun' - fi - ;; - esac - ;; - esac - } - - # Last step: remove runtime libs from dependency_libs - # (they stay in deplibs) - tmp_libs= - for i in $dependency_libs; do - case " $predeps $postdeps $compiler_lib_search_path " in - *" $i "*) - i= - ;; - esac - if test -n "$i"; then - func_append tmp_libs " $i" - fi - done - dependency_libs=$tmp_libs - done # for pass - if test prog = "$linkmode"; then - dlfiles=$newdlfiles - fi - if test prog = "$linkmode" || test lib = "$linkmode"; then - dlprefiles=$newdlprefiles - fi - - case $linkmode in - oldlib) - if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then - func_warning "'-dlopen' is ignored for archives" - fi - - case " $deplibs" in - *\ -l* | *\ -L*) - func_warning "'-l' and '-L' are ignored for archives" ;; - esac - - test -n "$rpath" && \ - func_warning "'-rpath' is ignored for archives" - - test -n "$xrpath" && \ - func_warning "'-R' is ignored for archives" - - test -n "$vinfo" && \ - func_warning "'-version-info/-version-number' is ignored for archives" - - test -n "$release" && \ - func_warning "'-release' is ignored for archives" - - test -n "$export_symbols$export_symbols_regex" && \ - func_warning "'-export-symbols' is ignored for archives" - - # Now set the variables for building old libraries. - build_libtool_libs=no - oldlibs=$output - func_append objs "$old_deplibs" - ;; - - lib) - # Make sure we only generate libraries of the form 'libNAME.la'. - case $outputname in - lib*) - func_stripname 'lib' '.la' "$outputname" - name=$func_stripname_result - eval shared_ext=\"$shrext_cmds\" - eval libname=\"$libname_spec\" - ;; - *) - test no = "$module" \ - && func_fatal_help "libtool library '$output' must begin with 'lib'" - - if test no != "$need_lib_prefix"; then - # Add the "lib" prefix for modules if required - func_stripname '' '.la' "$outputname" - name=$func_stripname_result - eval shared_ext=\"$shrext_cmds\" - eval libname=\"$libname_spec\" - else - func_stripname '' '.la' "$outputname" - libname=$func_stripname_result - fi - ;; - esac - - if test -n "$objs"; then - if test pass_all != "$deplibs_check_method"; then - func_fatal_error "cannot build libtool library '$output' from non-libtool objects on this host:$objs" - else - echo - $ECHO "*** Warning: Linking the shared library $output against the non-libtool" - $ECHO "*** objects $objs is not portable!" - func_append libobjs " $objs" - fi - fi - - test no = "$dlself" \ - || func_warning "'-dlopen self' is ignored for libtool libraries" - - set dummy $rpath - shift - test 1 -lt "$#" \ - && func_warning "ignoring multiple '-rpath's for a libtool library" - - install_libdir=$1 - - oldlibs= - if test -z "$rpath"; then - if test yes = "$build_libtool_libs"; then - # Building a libtool convenience library. - # Some compilers have problems with a '.al' extension so - # convenience libraries should have the same extension an - # archive normally would. - oldlibs="$output_objdir/$libname.$libext $oldlibs" - build_libtool_libs=convenience - build_old_libs=yes - fi - - test -n "$vinfo" && \ - func_warning "'-version-info/-version-number' is ignored for convenience libraries" - - test -n "$release" && \ - func_warning "'-release' is ignored for convenience libraries" - else - - # Parse the version information argument. - save_ifs=$IFS; IFS=: - set dummy $vinfo 0 0 0 - shift - IFS=$save_ifs - - test -n "$7" && \ - func_fatal_help "too many parameters to '-version-info'" - - # convert absolute version numbers to libtool ages - # this retains compatibility with .la files and attempts - # to make the code below a bit more comprehensible - - case $vinfo_number in - yes) - number_major=$1 - number_minor=$2 - number_revision=$3 - # - # There are really only two kinds -- those that - # use the current revision as the major version - # and those that subtract age and use age as - # a minor version. But, then there is irix - # that has an extra 1 added just for fun - # - case $version_type in - # correct linux to gnu/linux during the next big refactor - darwin|freebsd-elf|linux|osf|windows|none) - func_arith $number_major + $number_minor - current=$func_arith_result - age=$number_minor - revision=$number_revision - ;; - freebsd-aout|qnx|sunos) - current=$number_major - revision=$number_minor - age=0 - ;; - irix|nonstopux) - func_arith $number_major + $number_minor - current=$func_arith_result - age=$number_minor - revision=$number_minor - lt_irix_increment=no - ;; - esac - ;; - no) - current=$1 - revision=$2 - age=$3 - ;; - esac - - # Check that each of the things are valid numbers. - case $current in - 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; - *) - func_error "CURRENT '$current' must be a nonnegative integer" - func_fatal_error "'$vinfo' is not valid version information" - ;; - esac - - case $revision in - 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; - *) - func_error "REVISION '$revision' must be a nonnegative integer" - func_fatal_error "'$vinfo' is not valid version information" - ;; - esac - - case $age in - 0|[1-9]|[1-9][0-9]|[1-9][0-9][0-9]|[1-9][0-9][0-9][0-9]|[1-9][0-9][0-9][0-9][0-9]) ;; - *) - func_error "AGE '$age' must be a nonnegative integer" - func_fatal_error "'$vinfo' is not valid version information" - ;; - esac - - if test "$age" -gt "$current"; then - func_error "AGE '$age' is greater than the current interface number '$current'" - func_fatal_error "'$vinfo' is not valid version information" - fi - - # Calculate the version variables. - major= - versuffix= - verstring= - case $version_type in - none) ;; - - darwin) - # Like Linux, but with the current version available in - # verstring for coding it into the library header - func_arith $current - $age - major=.$func_arith_result - versuffix=$major.$age.$revision - # Darwin ld doesn't like 0 for these options... - func_arith $current + 1 - minor_current=$func_arith_result - xlcverstring="$wl-compatibility_version $wl$minor_current $wl-current_version $wl$minor_current.$revision" - verstring="-compatibility_version $minor_current -current_version $minor_current.$revision" - # On Darwin other compilers - case $CC in - nagfor*) - verstring="$wl-compatibility_version $wl$minor_current $wl-current_version $wl$minor_current.$revision" - ;; 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then - major= - case $version_type in - darwin) - # we can't check for "0.0" in archive_cmds due to quoting - # problems, so we reset it completely - verstring= - ;; - *) - verstring=0.0 - ;; - esac - if test no = "$need_version"; then - versuffix= - else - versuffix=.0.0 - fi - fi - - # Remove version info from name if versioning should be avoided - if test yes,no = "$avoid_version,$need_version"; then - major= - versuffix= - verstring= - fi - - # Check to see if the archive will have undefined symbols. - if test yes = "$allow_undefined"; then - if test unsupported = "$allow_undefined_flag"; then - if test yes = "$build_old_libs"; then - func_warning "undefined symbols not allowed in $host shared libraries; building static only" - build_libtool_libs=no - else - func_fatal_error "can't build $host shared library unless -no-undefined is specified" - fi - fi - else - # Don't allow undefined symbols. - allow_undefined_flag=$no_undefined_flag - fi - - fi - - func_generate_dlsyms "$libname" "$libname" : - func_append libobjs " $symfileobj" - test " " = "$libobjs" && libobjs= - - if test relink != "$opt_mode"; then - # Remove our outputs, but don't remove object files since they - # may have been created when compiling PIC objects. - removelist= - tempremovelist=`$ECHO "$output_objdir/*"` - for p in $tempremovelist; do - case $p in - *.$objext | *.gcno) - ;; - $output_objdir/$outputname | $output_objdir/$libname.* | $output_objdir/$libname$release.*) - if test -n "$precious_files_regex"; then - if $ECHO "$p" | $EGREP -e "$precious_files_regex" >/dev/null 2>&1 - then - continue - fi - fi - func_append removelist " $p" - ;; - *) ;; - esac - done - test -n "$removelist" && \ - func_show_eval "${RM}r \$removelist" - fi - - # Now set the variables for building old libraries. - if test yes = "$build_old_libs" && test convenience != "$build_libtool_libs"; then - func_append oldlibs " $output_objdir/$libname.$libext" - - # Transform .lo files to .o files. - oldobjs="$objs "`$ECHO "$libobjs" | $SP2NL | $SED "/\.$libext$/d; $lo2o" | $NL2SP` - fi - - # Eliminate all temporary directories. - #for path in $notinst_path; do - # lib_search_path=`$ECHO "$lib_search_path " | $SED "s% $path % %g"` - # deplibs=`$ECHO "$deplibs " | $SED "s% -L$path % %g"` - # dependency_libs=`$ECHO "$dependency_libs " | $SED "s% -L$path % %g"` - #done - - if test -n "$xrpath"; then - # If the user specified any rpath flags, then add them. - temp_xrpath= - for libdir in $xrpath; do - func_replace_sysroot "$libdir" - func_append temp_xrpath " -R$func_replace_sysroot_result" - case "$finalize_rpath " in - *" $libdir "*) ;; - *) func_append finalize_rpath " $libdir" ;; - esac - done - if test yes != "$hardcode_into_libs" || test yes = "$build_old_libs"; then - dependency_libs="$temp_xrpath $dependency_libs" - fi - fi - - # Make sure dlfiles contains only unique files that won't be dlpreopened - old_dlfiles=$dlfiles - dlfiles= - for lib in $old_dlfiles; do - case " $dlprefiles $dlfiles " in - *" $lib "*) ;; - *) func_append dlfiles " $lib" ;; - esac - done - - # Make sure dlprefiles contains only unique files - old_dlprefiles=$dlprefiles - dlprefiles= - for lib in $old_dlprefiles; do - case "$dlprefiles " in - *" $lib "*) ;; - *) func_append dlprefiles " $lib" ;; - esac - done - - if test yes = "$build_libtool_libs"; then - if test -n "$rpath"; then - case $host in - *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2* | *-*-beos* | *-cegcc* | *-*-haiku*) - # these systems don't actually have a c library (as such)! - ;; - *-*-rhapsody* | *-*-darwin1.[012]) - # Rhapsody C library is in the System framework - func_append deplibs " System.ltframework" - ;; - *-*-netbsd*) - # Don't link with libc until the a.out ld.so is fixed. - ;; - *-*-openbsd* | *-*-freebsd* | *-*-dragonfly*) - # Do not include libc due to us having libc/libc_r. - ;; - *-*-sco3.2v5* | *-*-sco5v6*) - # Causes problems with __ctype - ;; - *-*-sysv4.2uw2* | *-*-sysv5* | *-*-unixware* | *-*-OpenUNIX*) - # Compiler inserts libc in the correct place for threads to work - ;; - *) - # Add libc to deplibs on all other systems if necessary. - if test yes = "$build_libtool_need_lc"; then - func_append deplibs " -lc" - fi - ;; - esac - fi - - # Transform deplibs into only deplibs that can be linked in shared. - name_save=$name - libname_save=$libname - release_save=$release - versuffix_save=$versuffix - major_save=$major - # I'm not sure if I'm treating the release correctly. 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Therefore, libtool will create" - echo "*** a static module, that should work as long as the dlopening" - echo "*** application is linked with the -dlopen flag." - if test -z "$global_symbol_pipe"; then - echo - echo "*** However, this would only work if libtool was able to extract symbol" - echo "*** lists from a program, using 'nm' or equivalent, but libtool could" - echo "*** not find such a program. So, this module is probably useless." - echo "*** 'nm' from GNU binutils and a full rebuild may help." - fi - if test no = "$build_old_libs"; then - oldlibs=$output_objdir/$libname.$libext - build_libtool_libs=module - build_old_libs=yes - else - build_libtool_libs=no - fi - else - echo "*** The inter-library dependencies that have been dropped here will be" - echo "*** automatically added whenever a program is linked with this library" - echo "*** or is declared to -dlopen it." - - if test no = "$allow_undefined"; then - echo - echo "*** Since this library must not contain undefined symbols," - echo "*** because either the platform does not support them or" - echo "*** it was explicitly requested with -no-undefined," - echo "*** libtool will only create a static version of it." - if test no = "$build_old_libs"; then - oldlibs=$output_objdir/$libname.$libext - build_libtool_libs=module - build_old_libs=yes - else - build_libtool_libs=no - fi - fi - fi - fi - # Done checking deplibs! - deplibs=$newdeplibs - fi - # Time to change all our "foo.ltframework" stuff back to "-framework foo" - case $host in - *-*-darwin*) - newdeplibs=`$ECHO " $newdeplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` - new_inherited_linker_flags=`$ECHO " $new_inherited_linker_flags" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` - deplibs=`$ECHO " $deplibs" | $SED 's% \([^ $]*\).ltframework% -framework \1%g'` - ;; 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do - if test -n "$hardcode_libdir_flag_spec"; then - if test -n "$hardcode_libdir_separator"; then - func_replace_sysroot "$libdir" - libdir=$func_replace_sysroot_result - if test -z "$hardcode_libdirs"; then - hardcode_libdirs=$libdir - else - # Just accumulate the unique libdirs. - case $hardcode_libdir_separator$hardcode_libdirs$hardcode_libdir_separator in - *"$hardcode_libdir_separator$libdir$hardcode_libdir_separator"*) - ;; - *) - func_append hardcode_libdirs "$hardcode_libdir_separator$libdir" - ;; - esac - fi - else - eval flag=\"$hardcode_libdir_flag_spec\" - func_append dep_rpath " $flag" - fi - elif test -n "$runpath_var"; then - case "$perm_rpath " in - *" $libdir "*) ;; - *) func_append perm_rpath " $libdir" ;; - esac - fi - done - # Substitute the hardcoded libdirs into the rpath. - if test -n "$hardcode_libdir_separator" && - test -n "$hardcode_libdirs"; then - libdir=$hardcode_libdirs - eval "dep_rpath=\"$hardcode_libdir_flag_spec\"" - fi - if test -n "$runpath_var" && test -n "$perm_rpath"; then - # We should set the runpath_var. - rpath= - for dir in $perm_rpath; do - func_append rpath "$dir:" - done - eval "$runpath_var='$rpath\$$runpath_var'; export $runpath_var" - fi - test -n "$dep_rpath" && deplibs="$dep_rpath $deplibs" - fi - - shlibpath=$finalize_shlibpath - test relink = "$opt_mode" || shlibpath=$compile_shlibpath$shlibpath - if test -n "$shlibpath"; then - eval "$shlibpath_var='$shlibpath\$$shlibpath_var'; export $shlibpath_var" - fi - - # Get the real and link names of the library. - eval shared_ext=\"$shrext_cmds\" - eval library_names=\"$library_names_spec\" - set dummy $library_names - shift - realname=$1 - shift - - if test -n "$soname_spec"; then - eval soname=\"$soname_spec\" - else - soname=$realname - fi - if test -z "$dlname"; then - dlname=$soname - fi - - lib=$output_objdir/$realname - linknames= - for link - do - func_append linknames " $link" - done - - # Use standard objects if they are pic - test -z "$pic_flag" && libobjs=`$ECHO "$libobjs" | $SP2NL | $SED "$lo2o" | $NL2SP` - test "X$libobjs" = "X " && libobjs= - - delfiles= - if test -n "$export_symbols" && test -n "$include_expsyms"; then - $opt_dry_run || cp "$export_symbols" "$output_objdir/$libname.uexp" - export_symbols=$output_objdir/$libname.uexp - func_append delfiles " $export_symbols" - fi - - orig_export_symbols= - case $host_os in - cygwin* | mingw* | cegcc*) - if test -n "$export_symbols" && test -z "$export_symbols_regex"; then - # exporting using user supplied symfile - func_dll_def_p "$export_symbols" || { - # and it's NOT already a .def file. Must figure out - # which of the given symbols are data symbols and tag - # them as such. So, trigger use of export_symbols_cmds. - # export_symbols gets reassigned inside the "prepare - # the list of exported symbols" if statement, so the - # include_expsyms logic still works. - orig_export_symbols=$export_symbols - export_symbols= - always_export_symbols=yes - } - fi - ;; - esac - - # Prepare the list of exported symbols - if test -z "$export_symbols"; then - if test yes = "$always_export_symbols" || test -n "$export_symbols_regex"; then - func_verbose "generating symbol list for '$libname.la'" - export_symbols=$output_objdir/$libname.exp - $opt_dry_run || $RM $export_symbols - cmds=$export_symbols_cmds - save_ifs=$IFS; IFS='~' - for cmd1 in $cmds; do - IFS=$save_ifs - # Take the normal branch if the nm_file_list_spec branch - # doesn't work or if tool conversion is not needed. - case $nm_file_list_spec~$to_tool_file_cmd in - *~func_convert_file_noop | *~func_convert_file_msys_to_w32 | ~*) - try_normal_branch=yes - eval cmd=\"$cmd1\" - func_len " $cmd" - len=$func_len_result - ;; - *) - try_normal_branch=no - ;; - esac - if test yes = "$try_normal_branch" \ - && { test "$len" -lt "$max_cmd_len" \ - || test "$max_cmd_len" -le -1; } - then - func_show_eval "$cmd" 'exit $?' - skipped_export=false - elif test -n "$nm_file_list_spec"; then - func_basename "$output" - output_la=$func_basename_result - save_libobjs=$libobjs - save_output=$output - output=$output_objdir/$output_la.nm - func_to_tool_file "$output" - libobjs=$nm_file_list_spec$func_to_tool_file_result - func_append delfiles " $output" - func_verbose "creating $NM input file list: $output" - for obj in $save_libobjs; do - func_to_tool_file "$obj" - $ECHO "$func_to_tool_file_result" - done > "$output" - eval cmd=\"$cmd1\" - func_show_eval "$cmd" 'exit $?' - output=$save_output - libobjs=$save_libobjs - skipped_export=false - else - # The command line is too long to execute in one step. - func_verbose "using reloadable object file for export list..." - skipped_export=: - # Break out early, otherwise skipped_export may be - # set to false by a later but shorter cmd. - break - fi - done - IFS=$save_ifs - if test -n "$export_symbols_regex" && test : != "$skipped_export"; then - func_show_eval '$EGREP -e "$export_symbols_regex" "$export_symbols" > "${export_symbols}T"' - func_show_eval '$MV "${export_symbols}T" "$export_symbols"' - fi - fi - fi - - if test -n "$export_symbols" && test -n "$include_expsyms"; then - tmp_export_symbols=$export_symbols - test -n "$orig_export_symbols" && tmp_export_symbols=$orig_export_symbols - $opt_dry_run || eval '$ECHO "$include_expsyms" | $SP2NL >> "$tmp_export_symbols"' - fi - - if test : != "$skipped_export" && test -n "$orig_export_symbols"; then - # The given exports_symbols file has to be filtered, so filter it. - func_verbose "filter symbol list for '$libname.la' to tag DATA exports" - # FIXME: $output_objdir/$libname.filter potentially contains lots of - # 's' commands, which not all seds can handle. GNU sed should be fine - # though. Also, the filter scales superlinearly with the number of - # global variables. join(1) would be nice here, but unfortunately - # isn't a blessed tool. - $opt_dry_run || $SED -e '/[ ,]DATA/!d;s,\(.*\)\([ \,].*\),s|^\1$|\1\2|,' < $export_symbols > $output_objdir/$libname.filter - func_append delfiles " $export_symbols $output_objdir/$libname.filter" - export_symbols=$output_objdir/$libname.def - $opt_dry_run || $SED -f $output_objdir/$libname.filter < $orig_export_symbols > $export_symbols - fi - - tmp_deplibs= - for test_deplib in $deplibs; do - case " $convenience " in - *" $test_deplib "*) ;; - *) - func_append tmp_deplibs " $test_deplib" - ;; - esac - done - deplibs=$tmp_deplibs - - if test -n "$convenience"; then - if test -n "$whole_archive_flag_spec" && - test yes = "$compiler_needs_object" && - test -z "$libobjs"; then - # extract the archives, so we have objects to list. - # TODO: could optimize this to just extract one archive. - whole_archive_flag_spec= - fi - if test -n "$whole_archive_flag_spec"; then - save_libobjs=$libobjs - eval libobjs=\"\$libobjs $whole_archive_flag_spec\" - test "X$libobjs" = "X " && libobjs= - else - gentop=$output_objdir/${outputname}x - func_append generated " $gentop" - - func_extract_archives $gentop $convenience - func_append libobjs " $func_extract_archives_result" - test "X$libobjs" = "X " && libobjs= - fi - fi - - if test yes = "$thread_safe" && test -n "$thread_safe_flag_spec"; then - eval flag=\"$thread_safe_flag_spec\" - func_append linker_flags " $flag" - fi - - # Make a backup of the uninstalled library when relinking - if test relink = "$opt_mode"; then - $opt_dry_run || eval '(cd $output_objdir && $RM ${realname}U && $MV $realname ${realname}U)' || exit $? - fi - - # Do each of the archive commands. - if test yes = "$module" && test -n "$module_cmds"; then - if test -n "$export_symbols" && test -n "$module_expsym_cmds"; then - eval test_cmds=\"$module_expsym_cmds\" - cmds=$module_expsym_cmds - else - eval test_cmds=\"$module_cmds\" - cmds=$module_cmds - fi - else - if test -n "$export_symbols" && test -n "$archive_expsym_cmds"; then - eval test_cmds=\"$archive_expsym_cmds\" - cmds=$archive_expsym_cmds - else - eval test_cmds=\"$archive_cmds\" - cmds=$archive_cmds - fi - fi - - if test : != "$skipped_export" && - func_len " $test_cmds" && - len=$func_len_result && - test "$len" -lt "$max_cmd_len" || test "$max_cmd_len" -le -1; then - : - else - # The command line is too long to link in one step, link piecewise - # or, if using GNU ld and skipped_export is not :, use a linker - # script. - - # Save the value of $output and $libobjs because we want to - # use them later. If we have whole_archive_flag_spec, we - # want to use save_libobjs as it was before - # whole_archive_flag_spec was expanded, because we can't - # assume the linker understands whole_archive_flag_spec. - # This may have to be revisited, in case too many - # convenience libraries get linked in and end up exceeding - # the spec. - if test -z "$convenience" || test -z "$whole_archive_flag_spec"; then - save_libobjs=$libobjs - fi - save_output=$output - func_basename "$output" - output_la=$func_basename_result - - # Clear the reloadable object creation command queue and - # initialize k to one. - test_cmds= - concat_cmds= - objlist= - last_robj= - k=1 - - if test -n "$save_libobjs" && test : != "$skipped_export" && test yes = "$with_gnu_ld"; then - output=$output_objdir/$output_la.lnkscript - func_verbose "creating GNU ld script: $output" - echo 'INPUT (' > $output - for obj in $save_libobjs - do - func_to_tool_file "$obj" - $ECHO "$func_to_tool_file_result" >> $output - done - echo ')' >> $output - func_append delfiles " $output" - func_to_tool_file "$output" - output=$func_to_tool_file_result - elif test -n "$save_libobjs" && test : != "$skipped_export" && test -n "$file_list_spec"; then - output=$output_objdir/$output_la.lnk - func_verbose "creating linker input file list: $output" - : > $output - set x $save_libobjs - shift - firstobj= - if test yes = "$compiler_needs_object"; then - firstobj="$1 " - shift - fi - for obj - do - func_to_tool_file "$obj" - $ECHO "$func_to_tool_file_result" >> $output - done - func_append delfiles " $output" - func_to_tool_file "$output" - output=$firstobj\"$file_list_spec$func_to_tool_file_result\" - else - if test -n "$save_libobjs"; then - func_verbose "creating reloadable object files..." - output=$output_objdir/$output_la-$k.$objext - eval test_cmds=\"$reload_cmds\" - func_len " $test_cmds" - len0=$func_len_result - len=$len0 - - # Loop over the list of objects to be linked. - for obj in $save_libobjs - do - func_len " $obj" - func_arith $len + $func_len_result - len=$func_arith_result - if test -z "$objlist" || - test "$len" -lt "$max_cmd_len"; then - func_append objlist " $obj" - else - # The command $test_cmds is almost too long, add a - # command to the queue. - if test 1 -eq "$k"; then - # The first file doesn't have a previous command to add. - reload_objs=$objlist - eval concat_cmds=\"$reload_cmds\" - else - # All subsequent reloadable object files will link in - # the last one created. - reload_objs="$objlist $last_robj" - eval concat_cmds=\"\$concat_cmds~$reload_cmds~\$RM $last_robj\" - fi - last_robj=$output_objdir/$output_la-$k.$objext - func_arith $k + 1 - k=$func_arith_result - output=$output_objdir/$output_la-$k.$objext - objlist=" $obj" - func_len " $last_robj" - func_arith $len0 + $func_len_result - len=$func_arith_result - fi - done - # Handle the remaining objects by creating one last - # reloadable object file. All subsequent reloadable object - # files will link in the last one created. - test -z "$concat_cmds" || concat_cmds=$concat_cmds~ - reload_objs="$objlist $last_robj" - eval concat_cmds=\"\$concat_cmds$reload_cmds\" - if test -n "$last_robj"; then - eval concat_cmds=\"\$concat_cmds~\$RM $last_robj\" - fi - func_append delfiles " $output" - - else - output= - fi - - ${skipped_export-false} && { - func_verbose "generating symbol list for '$libname.la'" - export_symbols=$output_objdir/$libname.exp - $opt_dry_run || $RM $export_symbols - libobjs=$output - # Append the command to create the export file. - test -z "$concat_cmds" || concat_cmds=$concat_cmds~ - eval concat_cmds=\"\$concat_cmds$export_symbols_cmds\" - if test -n "$last_robj"; then - eval concat_cmds=\"\$concat_cmds~\$RM $last_robj\" - fi - } - - test -n "$save_libobjs" && - func_verbose "creating a temporary reloadable object file: $output" - - # Loop through the commands generated above and execute them. - save_ifs=$IFS; IFS='~' - for cmd in $concat_cmds; do - IFS=$save_ifs - $opt_quiet || { - func_quote_for_expand "$cmd" - eval "func_echo $func_quote_for_expand_result" - } - $opt_dry_run || eval "$cmd" || { - lt_exit=$? - - # Restore the uninstalled library and exit - if test relink = "$opt_mode"; then - ( cd "$output_objdir" && \ - $RM "${realname}T" && \ - $MV "${realname}U" "$realname" ) - fi - - exit $lt_exit - } - done - IFS=$save_ifs - - if test -n "$export_symbols_regex" && ${skipped_export-false}; then - func_show_eval '$EGREP -e "$export_symbols_regex" "$export_symbols" > "${export_symbols}T"' - func_show_eval '$MV "${export_symbols}T" "$export_symbols"' - fi - fi - - ${skipped_export-false} && { - if test -n "$export_symbols" && test -n "$include_expsyms"; then - tmp_export_symbols=$export_symbols - test -n "$orig_export_symbols" && tmp_export_symbols=$orig_export_symbols - $opt_dry_run || eval '$ECHO "$include_expsyms" | $SP2NL >> "$tmp_export_symbols"' - fi - - if test -n "$orig_export_symbols"; then - # The given exports_symbols file has to be filtered, so filter it. - func_verbose "filter symbol list for '$libname.la' to tag DATA exports" - # FIXME: $output_objdir/$libname.filter potentially contains lots of - # 's' commands, which not all seds can handle. GNU sed should be fine - # though. Also, the filter scales superlinearly with the number of - # global variables. join(1) would be nice here, but unfortunately - # isn't a blessed tool. - $opt_dry_run || $SED -e '/[ ,]DATA/!d;s,\(.*\)\([ \,].*\),s|^\1$|\1\2|,' < $export_symbols > $output_objdir/$libname.filter - func_append delfiles " $export_symbols $output_objdir/$libname.filter" - export_symbols=$output_objdir/$libname.def - $opt_dry_run || $SED -f $output_objdir/$libname.filter < $orig_export_symbols > $export_symbols - fi - } - - libobjs=$output - # Restore the value of output. - output=$save_output - - if test -n "$convenience" && test -n "$whole_archive_flag_spec"; then - eval libobjs=\"\$libobjs $whole_archive_flag_spec\" - test "X$libobjs" = "X " && libobjs= - fi - # Expand the library linking commands again to reset the - # value of $libobjs for piecewise linking. - - # Do each of the archive commands. - if test yes = "$module" && test -n "$module_cmds"; then - if test -n "$export_symbols" && test -n "$module_expsym_cmds"; then - cmds=$module_expsym_cmds - else - cmds=$module_cmds - fi - else - if test -n "$export_symbols" && test -n "$archive_expsym_cmds"; then - cmds=$archive_expsym_cmds - else - cmds=$archive_cmds - fi - fi - fi - - if test -n "$delfiles"; then - # Append the command to remove temporary files to $cmds. - eval cmds=\"\$cmds~\$RM $delfiles\" - fi - - # Add any objects from preloaded convenience libraries - if test -n "$dlprefiles"; then - gentop=$output_objdir/${outputname}x - func_append generated " $gentop" - - func_extract_archives $gentop $dlprefiles - func_append libobjs " $func_extract_archives_result" - test "X$libobjs" = "X " && libobjs= - fi - - save_ifs=$IFS; IFS='~' - for cmd in $cmds; do - IFS=$sp$nl - eval cmd=\"$cmd\" - IFS=$save_ifs - $opt_quiet || { - func_quote_for_expand "$cmd" - eval "func_echo $func_quote_for_expand_result" - } - $opt_dry_run || eval "$cmd" || { - lt_exit=$? - - # Restore the uninstalled library and exit - if test relink = "$opt_mode"; then - ( cd "$output_objdir" && \ - $RM "${realname}T" && \ - $MV "${realname}U" "$realname" ) - fi - - exit $lt_exit - } - done - IFS=$save_ifs - - # Restore the uninstalled library and exit - if test relink = "$opt_mode"; then - $opt_dry_run || eval '(cd $output_objdir && $RM ${realname}T && $MV $realname ${realname}T && $MV ${realname}U $realname)' || exit $? - - if test -n "$convenience"; then - if test -z "$whole_archive_flag_spec"; then - func_show_eval '${RM}r "$gentop"' - fi - fi - - exit $EXIT_SUCCESS - fi - - # Create links to the real library. - for linkname in $linknames; do - if test "$realname" != "$linkname"; then - func_show_eval '(cd "$output_objdir" && $RM "$linkname" && $LN_S "$realname" "$linkname")' 'exit $?' - fi - done - - # If -module or -export-dynamic was specified, set the dlname. - if test yes = "$module" || test yes = "$export_dynamic"; then - # On all known operating systems, these are identical. - dlname=$soname - fi - fi - ;; - - obj) - if test -n "$dlfiles$dlprefiles" || test no != "$dlself"; then - func_warning "'-dlopen' is ignored for objects" - fi - - case " $deplibs" in - *\ -l* | *\ -L*) - func_warning "'-l' and '-L' are ignored for objects" ;; - esac - - test -n "$rpath" && \ - func_warning "'-rpath' is ignored for objects" - - test -n "$xrpath" && \ - func_warning "'-R' is ignored for objects" - - test -n "$vinfo" && \ - func_warning "'-version-info' is ignored for objects" - - test -n "$release" && \ - func_warning "'-release' is ignored for objects" - - case $output in - *.lo) - test -n "$objs$old_deplibs" && \ - func_fatal_error "cannot build library object '$output' from non-libtool objects" - - libobj=$output - func_lo2o "$libobj" - obj=$func_lo2o_result - ;; - *) - libobj= - obj=$output - ;; - esac - - # Delete the old objects. - $opt_dry_run || $RM $obj $libobj - - # Objects from convenience libraries. This assumes - # single-version convenience libraries. Whenever we create - # different ones for PIC/non-PIC, this we'll have to duplicate - # the extraction. - reload_conv_objs= - gentop= - # if reload_cmds runs $LD directly, get rid of -Wl from - # whole_archive_flag_spec and hope we can get by with turning comma - # into space. - case $reload_cmds in - *\$LD[\ \$]*) wl= ;; - esac - if test -n "$convenience"; then - if test -n "$whole_archive_flag_spec"; then - eval tmp_whole_archive_flags=\"$whole_archive_flag_spec\" - test -n "$wl" || tmp_whole_archive_flags=`$ECHO "$tmp_whole_archive_flags" | $SED 's|,| |g'` - reload_conv_objs=$reload_objs\ $tmp_whole_archive_flags - else - gentop=$output_objdir/${obj}x - func_append generated " $gentop" - - func_extract_archives $gentop $convenience - reload_conv_objs="$reload_objs $func_extract_archives_result" - fi - fi - - # If we're not building shared, we need to use non_pic_objs - test yes = "$build_libtool_libs" || libobjs=$non_pic_objects - - # Create the old-style object. - reload_objs=$objs$old_deplibs' '`$ECHO "$libobjs" | $SP2NL | $SED "/\.$libext$/d; /\.lib$/d; $lo2o" | $NL2SP`' '$reload_conv_objs - - output=$obj - func_execute_cmds "$reload_cmds" 'exit $?' - - # Exit if we aren't doing a library object file. - if test -z "$libobj"; then - if test -n "$gentop"; then - func_show_eval '${RM}r "$gentop"' - fi - - exit $EXIT_SUCCESS - fi - - test yes = "$build_libtool_libs" || { - if test -n "$gentop"; then - func_show_eval '${RM}r "$gentop"' - fi - - # Create an invalid libtool object if no PIC, so that we don't - # accidentally link it into a program. - # $show "echo timestamp > $libobj" - # $opt_dry_run || eval "echo timestamp > $libobj" || exit $? - exit $EXIT_SUCCESS - } - - if test -n "$pic_flag" || test default != "$pic_mode"; then - # Only do commands if we really have different PIC objects. - reload_objs="$libobjs $reload_conv_objs" - output=$libobj - func_execute_cmds "$reload_cmds" 'exit $?' - fi - - if test -n "$gentop"; then - func_show_eval '${RM}r "$gentop"' - fi - - exit $EXIT_SUCCESS - ;; - - prog) - case $host in - *cygwin*) func_stripname '' '.exe' "$output" - output=$func_stripname_result.exe;; - esac - test -n "$vinfo" && \ - func_warning "'-version-info' is ignored for programs" - - test -n "$release" && \ - func_warning "'-release' is ignored for programs" - - $preload \ - && test unknown,unknown,unknown = "$dlopen_support,$dlopen_self,$dlopen_self_static" \ - && func_warning "'LT_INIT([dlopen])' not used. 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then - mv -f "$nlist"T "$nlist" - else - rm -f "$nlist"T - fi - - # Make sure that we snagged all the symbols we need. - if $GREP ' nm_test_var$' "$nlist" >/dev/null; then - if $GREP ' nm_test_func$' "$nlist" >/dev/null; then - cat <<_LT_EOF > conftest.$ac_ext -/* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ -#if defined _WIN32 || defined __CYGWIN__ || defined _WIN32_WCE -/* DATA imports from DLLs on WIN32 can't be const, because runtime - relocations are performed -- see ld's documentation on pseudo-relocs. */ -# define LT@&t@_DLSYM_CONST -#elif defined __osf__ -/* This system does not cope well with relocations in const data. */ -# define LT@&t@_DLSYM_CONST -#else -# define LT@&t@_DLSYM_CONST const -#endif - -#ifdef __cplusplus -extern "C" { -#endif - -_LT_EOF - # Now generate the symbol file. - eval "$lt_cv_sys_global_symbol_to_cdecl"' < "$nlist" | $GREP -v main >> conftest.$ac_ext' - - cat <<_LT_EOF >> conftest.$ac_ext - -/* The mapping between symbol names and symbols. */ -LT@&t@_DLSYM_CONST struct { - const char *name; - void *address; -} -lt__PROGRAM__LTX_preloaded_symbols[[]] = -{ - { "@PROGRAM@", (void *) 0 }, -_LT_EOF - $SED "s/^$symcode$symcode* .* \(.*\)$/ {\"\1\", (void *) \&\1},/" < "$nlist" | $GREP -v main >> conftest.$ac_ext - cat <<\_LT_EOF >> conftest.$ac_ext - {0, (void *) 0} -}; - -/* This works around a problem in FreeBSD linker */ -#ifdef FREEBSD_WORKAROUND -static const void *lt_preloaded_setup() { - return lt__PROGRAM__LTX_preloaded_symbols; -} -#endif - -#ifdef __cplusplus -} -#endif -_LT_EOF - # Now try linking the two files. - mv conftest.$ac_objext conftstm.$ac_objext - lt_globsym_save_LIBS=$LIBS - lt_globsym_save_CFLAGS=$CFLAGS - LIBS=conftstm.$ac_objext - CFLAGS="$CFLAGS$_LT_TAGVAR(lt_prog_compiler_no_builtin_flag, $1)" - if AC_TRY_EVAL(ac_link) && test -s conftest$ac_exeext; then - pipe_works=yes - fi - LIBS=$lt_globsym_save_LIBS - CFLAGS=$lt_globsym_save_CFLAGS - else - echo "cannot find nm_test_func in $nlist" >&AS_MESSAGE_LOG_FD - fi - else - echo "cannot find nm_test_var in $nlist" >&AS_MESSAGE_LOG_FD - fi - else - echo "cannot run $lt_cv_sys_global_symbol_pipe" >&AS_MESSAGE_LOG_FD - fi - else - echo "$progname: failed program was:" >&AS_MESSAGE_LOG_FD - cat conftest.$ac_ext >&5 - fi - rm -rf conftest* conftst* - - # Do not use the global_symbol_pipe unless it works. - if test yes = "$pipe_works"; then - break - else - lt_cv_sys_global_symbol_pipe= - fi -done -]) -if test -z "$lt_cv_sys_global_symbol_pipe"; then - lt_cv_sys_global_symbol_to_cdecl= -fi -if test -z "$lt_cv_sys_global_symbol_pipe$lt_cv_sys_global_symbol_to_cdecl"; then - AC_MSG_RESULT(failed) -else - AC_MSG_RESULT(ok) -fi - -# Response file support. -if test "$lt_cv_nm_interface" = "MS dumpbin"; then - nm_file_list_spec='@' -elif $NM --help 2>/dev/null | grep '[[@]]FILE' >/dev/null; then - nm_file_list_spec='@' -fi - -_LT_DECL([global_symbol_pipe], [lt_cv_sys_global_symbol_pipe], [1], - [Take the output of nm and produce a listing of raw symbols and C names]) -_LT_DECL([global_symbol_to_cdecl], [lt_cv_sys_global_symbol_to_cdecl], [1], - [Transform the output of nm in a proper C declaration]) -_LT_DECL([global_symbol_to_import], [lt_cv_sys_global_symbol_to_import], [1], - [Transform the output of nm into a list of symbols to manually relocate]) -_LT_DECL([global_symbol_to_c_name_address], - [lt_cv_sys_global_symbol_to_c_name_address], [1], - [Transform the output of nm in a C name address pair]) -_LT_DECL([global_symbol_to_c_name_address_lib_prefix], - [lt_cv_sys_global_symbol_to_c_name_address_lib_prefix], [1], - [Transform the output of nm in a C name address pair when lib prefix is needed]) -_LT_DECL([nm_interface], [lt_cv_nm_interface], [1], - [The name lister interface]) -_LT_DECL([], [nm_file_list_spec], [1], - [Specify filename containing input files for $NM]) -]) # _LT_CMD_GLOBAL_SYMBOLS - - -# _LT_COMPILER_PIC([TAGNAME]) -# --------------------------- -m4_defun([_LT_COMPILER_PIC], -[m4_require([_LT_TAG_COMPILER])dnl -_LT_TAGVAR(lt_prog_compiler_wl, $1)= -_LT_TAGVAR(lt_prog_compiler_pic, $1)= -_LT_TAGVAR(lt_prog_compiler_static, $1)= - -m4_if([$1], [CXX], [ - # C++ specific cases for pic, static, wl, etc. - if test yes = "$GXX"; then - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' - - case $host_os in - aix*) - # All AIX code is PIC. - if test ia64 = "$host_cpu"; then - # AIX 5 now supports IA64 processor - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - fi - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - - amigaos*) - case $host_cpu in - powerpc) - # see comment about AmigaOS4 .so support - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - m68k) - # FIXME: we need at least 68020 code to build shared libraries, but - # adding the '-m68020' flag to GCC prevents building anything better, - # like '-m68040'. - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-m68020 -resident32 -malways-restore-a4' - ;; - esac - ;; - - beos* | irix5* | irix6* | nonstopux* | osf3* | osf4* | osf5*) - # PIC is the default for these OSes. - ;; - mingw* | cygwin* | os2* | pw32* | cegcc*) - # This hack is so that the source file can tell whether it is being - # built for inclusion in a dll (and should export symbols for example). - # Although the cygwin gcc ignores -fPIC, still need this for old-style - # (--disable-auto-import) libraries - m4_if([$1], [GCJ], [], - [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) - case $host_os in - os2*) - _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' - ;; - esac - ;; - darwin* | rhapsody*) - # PIC is the default on this platform - # Common symbols not allowed in MH_DYLIB files - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' - ;; - *djgpp*) - # DJGPP does not support shared libraries at all - _LT_TAGVAR(lt_prog_compiler_pic, $1)= - ;; - haiku*) - # PIC is the default for Haiku. - # The "-static" flag exists, but is broken. - _LT_TAGVAR(lt_prog_compiler_static, $1)= - ;; - interix[[3-9]]*) - # Interix 3.x gcc -fpic/-fPIC options generate broken code. - # Instead, we relocate shared libraries at runtime. - ;; - sysv4*MP*) - if test -d /usr/nec; then - _LT_TAGVAR(lt_prog_compiler_pic, $1)=-Kconform_pic - fi - ;; - hpux*) - # PIC is the default for 64-bit PA HP-UX, but not for 32-bit - # PA HP-UX. On IA64 HP-UX, PIC is the default but the pic flag - # sets the default TLS model and affects inlining. - case $host_cpu in - hppa*64*) - ;; - *) - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - esac - ;; - *qnx* | *nto*) - # QNX uses GNU C++, but need to define -shared option too, otherwise - # it will coredump. - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' - ;; - *) - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - esac - else - case $host_os in - aix[[4-9]]*) - # All AIX code is PIC. - if test ia64 = "$host_cpu"; then - # AIX 5 now supports IA64 processor - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - else - _LT_TAGVAR(lt_prog_compiler_static, $1)='-bnso -bI:/lib/syscalls.exp' - fi - ;; - chorus*) - case $cc_basename in - cxch68*) - # Green Hills C++ Compiler - # _LT_TAGVAR(lt_prog_compiler_static, $1)="--no_auto_instantiation -u __main -u __premain -u _abort -r $COOL_DIR/lib/libOrb.a $MVME_DIR/lib/CC/libC.a $MVME_DIR/lib/classix/libcx.s.a" - ;; - esac - ;; - mingw* | cygwin* | os2* | pw32* | cegcc*) - # This hack is so that the source file can tell whether it is being - # built for inclusion in a dll (and should export symbols for example). - m4_if([$1], [GCJ], [], - [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) - ;; - dgux*) - case $cc_basename in - ec++*) - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' - ;; - ghcx*) - # Green Hills C++ Compiler - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' - ;; - *) - ;; - esac - ;; - freebsd* | dragonfly*) - # FreeBSD uses GNU C++ - ;; - hpux9* | hpux10* | hpux11*) - case $cc_basename in - CC*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' - if test ia64 != "$host_cpu"; then - _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' - fi - ;; - aCC*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' - case $host_cpu in - hppa*64*|ia64*) - # +Z the default - ;; - *) - _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' - ;; - esac - ;; - *) - ;; - esac - ;; - interix*) - # This is c89, which is MS Visual C++ (no shared libs) - # Anyone wants to do a port? - ;; - irix5* | irix6* | nonstopux*) - case $cc_basename in - CC*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' - # CC pic flag -KPIC is the default. - ;; - *) - ;; - esac - ;; - linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) - case $cc_basename in - KCC*) - # KAI C++ Compiler - _LT_TAGVAR(lt_prog_compiler_wl, $1)='--backend -Wl,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - ecpc* ) - # old Intel C++ for x86_64, which still supported -KPIC. - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' - ;; - icpc* ) - # Intel C++, used to be incompatible with GCC. - # ICC 10 doesn't accept -KPIC any more. - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' - ;; - pgCC* | pgcpp*) - # Portland Group C++ compiler - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fpic' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - ;; - cxx*) - # Compaq C++ - # Make sure the PIC flag is empty. It appears that all Alpha - # Linux and Compaq Tru64 Unix objects are PIC. - _LT_TAGVAR(lt_prog_compiler_pic, $1)= - _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' - ;; - xlc* | xlC* | bgxl[[cC]]* | mpixl[[cC]]*) - # IBM XL 8.0, 9.0 on PPC and BlueGene - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-qpic' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-qstaticlink' - ;; - *) - case `$CC -V 2>&1 | sed 5q` in - *Sun\ C*) - # Sun C++ 5.9 - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Qoption ld ' - ;; - esac - ;; - esac - ;; - lynxos*) - ;; - m88k*) - ;; - mvs*) - case $cc_basename in - cxx*) - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-W c,exportall' - ;; - *) - ;; - esac - ;; - netbsd*) - ;; - *qnx* | *nto*) - # QNX uses GNU C++, but need to define -shared option too, otherwise - # it will coredump. - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' - ;; - osf3* | osf4* | osf5*) - case $cc_basename in - KCC*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='--backend -Wl,' - ;; - RCC*) - # Rational C++ 2.4.1 - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' - ;; - cxx*) - # Digital/Compaq C++ - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - # Make sure the PIC flag is empty. It appears that all Alpha - # Linux and Compaq Tru64 Unix objects are PIC. - _LT_TAGVAR(lt_prog_compiler_pic, $1)= - _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' - ;; - *) - ;; - esac - ;; - psos*) - ;; - solaris*) - case $cc_basename in - CC* | sunCC*) - # Sun C++ 4.2, 5.x and Centerline C++ - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Qoption ld ' - ;; - gcx*) - # Green Hills C++ Compiler - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-PIC' - ;; - *) - ;; - esac - ;; - sunos4*) - case $cc_basename in - CC*) - # Sun C++ 4.x - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - ;; - lcc*) - # Lucid - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-pic' - ;; - *) - ;; - esac - ;; - sysv5* | unixware* | sco3.2v5* | sco5v6* | OpenUNIX*) - case $cc_basename in - CC*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - ;; - esac - ;; - tandem*) - case $cc_basename in - NCC*) - # NonStop-UX NCC 3.20 - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' - ;; - *) - ;; - esac - ;; - vxworks*) - ;; - *) - _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no - ;; - esac - fi -], -[ - if test yes = "$GCC"; then - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' - - case $host_os in - aix*) - # All AIX code is PIC. - if test ia64 = "$host_cpu"; then - # AIX 5 now supports IA64 processor - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - fi - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - - amigaos*) - case $host_cpu in - powerpc) - # see comment about AmigaOS4 .so support - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - m68k) - # FIXME: we need at least 68020 code to build shared libraries, but - # adding the '-m68020' flag to GCC prevents building anything better, - # like '-m68040'. - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-m68020 -resident32 -malways-restore-a4' - ;; - esac - ;; - - beos* | irix5* | irix6* | nonstopux* | osf3* | osf4* | osf5*) - # PIC is the default for these OSes. - ;; - - mingw* | cygwin* | pw32* | os2* | cegcc*) - # This hack is so that the source file can tell whether it is being - # built for inclusion in a dll (and should export symbols for example). - # Although the cygwin gcc ignores -fPIC, still need this for old-style - # (--disable-auto-import) libraries - m4_if([$1], [GCJ], [], - [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) - case $host_os in - os2*) - _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' - ;; - esac - ;; - - darwin* | rhapsody*) - # PIC is the default on this platform - # Common symbols not allowed in MH_DYLIB files - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' - ;; - - haiku*) - # PIC is the default for Haiku. - # The "-static" flag exists, but is broken. - _LT_TAGVAR(lt_prog_compiler_static, $1)= - ;; - - hpux*) - # PIC is the default for 64-bit PA HP-UX, but not for 32-bit - # PA HP-UX. On IA64 HP-UX, PIC is the default but the pic flag - # sets the default TLS model and affects inlining. - case $host_cpu in - hppa*64*) - # +Z the default - ;; - *) - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - esac - ;; - - interix[[3-9]]*) - # Interix 3.x gcc -fpic/-fPIC options generate broken code. - # Instead, we relocate shared libraries at runtime. - ;; - - msdosdjgpp*) - # Just because we use GCC doesn't mean we suddenly get shared libraries - # on systems that don't support them. - _LT_TAGVAR(lt_prog_compiler_can_build_shared, $1)=no - enable_shared=no - ;; - - *nto* | *qnx*) - # QNX uses GNU C++, but need to define -shared option too, otherwise - # it will coredump. - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC -shared' - ;; - - sysv4*MP*) - if test -d /usr/nec; then - _LT_TAGVAR(lt_prog_compiler_pic, $1)=-Kconform_pic - fi - ;; - - *) - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - ;; - esac - - case $cc_basename in - nvcc*) # Cuda Compiler Driver 2.2 - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Xlinker ' - if test -n "$_LT_TAGVAR(lt_prog_compiler_pic, $1)"; then - _LT_TAGVAR(lt_prog_compiler_pic, $1)="-Xcompiler $_LT_TAGVAR(lt_prog_compiler_pic, $1)" - fi - ;; - esac - else - # PORTME Check for flag to pass linker flags through the system compiler. - case $host_os in - aix*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - if test ia64 = "$host_cpu"; then - # AIX 5 now supports IA64 processor - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - else - _LT_TAGVAR(lt_prog_compiler_static, $1)='-bnso -bI:/lib/syscalls.exp' - fi - ;; - - darwin* | rhapsody*) - # PIC is the default on this platform - # Common symbols not allowed in MH_DYLIB files - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fno-common' - case $cc_basename in - nagfor*) - # NAG Fortran compiler - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,-Wl,,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-PIC' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-Bstatic' - ;; - esac - ;; - - mingw* | cygwin* | pw32* | os2* | cegcc*) - # This hack is so that the source file can tell whether it is being - # built for inclusion in a dll (and should export symbols for example). - m4_if([$1], [GCJ], [], - [_LT_TAGVAR(lt_prog_compiler_pic, $1)='-DDLL_EXPORT']) - case $host_os in - os2*) - _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-static' - ;; - esac - ;; - - hpux9* | hpux10* | hpux11*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - # PIC is the default for IA64 HP-UX and 64-bit HP-UX, but - # not for PA HP-UX. - case $host_cpu in - hppa*64*|ia64*) - # +Z the default - ;; - *) - _LT_TAGVAR(lt_prog_compiler_pic, $1)='+Z' - ;; - esac - # Is there a better lt_prog_compiler_static that works with the bundled CC? - _LT_TAGVAR(lt_prog_compiler_static, $1)='$wl-a ${wl}archive' - ;; - - irix5* | irix6* | nonstopux*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - # PIC (with -KPIC) is the default. - _LT_TAGVAR(lt_prog_compiler_static, $1)='-non_shared' - ;; - - linux* | k*bsd*-gnu | kopensolaris*-gnu | gnu*) - case $cc_basename in - # old Intel for x86_64, which still supported -KPIC. - ecc*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-KPIC' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' - ;; - # icc used to be incompatible with GCC. - # ICC 10 doesn't accept -KPIC any more. - icc* | ifort*) - _LT_TAGVAR(lt_prog_compiler_wl, $1)='-Wl,' - _LT_TAGVAR(lt_prog_compiler_pic, $1)='-fPIC' - _LT_TAGVAR(lt_prog_compiler_static, $1)='-static' - ;; 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If any OPTION has a matching handler declared with -# LT_OPTION_DEFINE, dispatch to that macro; otherwise complain about -# the unknown option and exit. -m4_defun([_LT_SET_OPTIONS], -[# Set options -m4_foreach([_LT_Option], m4_split(m4_normalize([$2])), - [_LT_SET_OPTION([$1], _LT_Option)]) - -m4_if([$1],[LT_INIT],[ - dnl - dnl Simply set some default values (i.e off) if boolean options were not - dnl specified: - _LT_UNLESS_OPTIONS([LT_INIT], [dlopen], [enable_dlopen=no - ]) - _LT_UNLESS_OPTIONS([LT_INIT], [win32-dll], [enable_win32_dll=no - ]) - dnl - dnl If no reference was made to various pairs of opposing options, then - dnl we run the default mode handler for the pair. For example, if neither - dnl 'shared' nor 'disable-shared' was passed, we enable building of shared - dnl archives by default: - _LT_UNLESS_OPTIONS([LT_INIT], [shared disable-shared], [_LT_ENABLE_SHARED]) - _LT_UNLESS_OPTIONS([LT_INIT], [static disable-static], [_LT_ENABLE_STATIC]) - _LT_UNLESS_OPTIONS([LT_INIT], [pic-only no-pic], [_LT_WITH_PIC]) - _LT_UNLESS_OPTIONS([LT_INIT], [fast-install disable-fast-install], - [_LT_ENABLE_FAST_INSTALL]) - _LT_UNLESS_OPTIONS([LT_INIT], [aix-soname=aix aix-soname=both aix-soname=svr4], - [_LT_WITH_AIX_SONAME([aix])]) - ]) -])# _LT_SET_OPTIONS - - -## --------------------------------- ## -## Macros to handle LT_INIT options. ## -## --------------------------------- ## - -# _LT_MANGLE_DEFUN(MACRO-NAME, OPTION-NAME) -# ----------------------------------------- -m4_define([_LT_MANGLE_DEFUN], -[[_LT_OPTION_DEFUN_]m4_bpatsubst(m4_toupper([$1__$2]), [[^A-Z0-9_]], [_])]) - - -# LT_OPTION_DEFINE(MACRO-NAME, OPTION-NAME, CODE) -# ----------------------------------------------- -m4_define([LT_OPTION_DEFINE], -[m4_define(_LT_MANGLE_DEFUN([$1], [$2]), [$3])[]dnl -])# LT_OPTION_DEFINE - - -# dlopen -# ------ -LT_OPTION_DEFINE([LT_INIT], [dlopen], [enable_dlopen=yes -]) - -AU_DEFUN([AC_LIBTOOL_DLOPEN], -[_LT_SET_OPTION([LT_INIT], [dlopen]) -AC_DIAGNOSE([obsolete], -[$0: Remove this warning and the call to _LT_SET_OPTION when you -put the 'dlopen' option into LT_INIT's first parameter.]) -]) - -dnl aclocal-1.4 backwards compatibility: -dnl AC_DEFUN([AC_LIBTOOL_DLOPEN], []) - - -# win32-dll -# --------- -# Declare package support for building win32 dll's. -LT_OPTION_DEFINE([LT_INIT], [win32-dll], -[enable_win32_dll=yes - -case $host in -*-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-cegcc*) - AC_CHECK_TOOL(AS, as, false) - AC_CHECK_TOOL(DLLTOOL, dlltool, false) - AC_CHECK_TOOL(OBJDUMP, objdump, false) - ;; -esac - -test -z "$AS" && AS=as -_LT_DECL([], [AS], [1], [Assembler program])dnl - -test -z "$DLLTOOL" && DLLTOOL=dlltool -_LT_DECL([], [DLLTOOL], [1], [DLL creation program])dnl - -test -z "$OBJDUMP" && OBJDUMP=objdump -_LT_DECL([], [OBJDUMP], [1], [Object dumper program])dnl -])# win32-dll - -AU_DEFUN([AC_LIBTOOL_WIN32_DLL], -[AC_REQUIRE([AC_CANONICAL_HOST])dnl -_LT_SET_OPTION([LT_INIT], [win32-dll]) -AC_DIAGNOSE([obsolete], -[$0: Remove this warning and the call to _LT_SET_OPTION when you -put the 'win32-dll' option into LT_INIT's first parameter.]) -]) - -dnl aclocal-1.4 backwards compatibility: -dnl AC_DEFUN([AC_LIBTOOL_WIN32_DLL], []) - - -# _LT_ENABLE_SHARED([DEFAULT]) -# ---------------------------- -# implement the --enable-shared flag, and supports the 'shared' and -# 'disable-shared' LT_INIT options. -# DEFAULT is either 'yes' or 'no'. If omitted, it defaults to 'yes'. -m4_define([_LT_ENABLE_SHARED], -[m4_define([_LT_ENABLE_SHARED_DEFAULT], [m4_if($1, no, no, yes)])dnl -AC_ARG_ENABLE([shared], - [AS_HELP_STRING([--enable-shared@<:@=PKGS@:>@], - [build shared libraries @<:@default=]_LT_ENABLE_SHARED_DEFAULT[@:>@])], - [p=${PACKAGE-default} - case $enableval in - yes) enable_shared=yes ;; - no) enable_shared=no ;; - *) - enable_shared=no - # Look at the argument we got. We use all the common list separators. - lt_save_ifs=$IFS; IFS=$IFS$PATH_SEPARATOR, - for pkg in $enableval; do - IFS=$lt_save_ifs - if test "X$pkg" = "X$p"; then - enable_shared=yes - fi - done - IFS=$lt_save_ifs - ;; - esac], - [enable_shared=]_LT_ENABLE_SHARED_DEFAULT) - - _LT_DECL([build_libtool_libs], [enable_shared], [0], - [Whether or not to build shared libraries]) -])# _LT_ENABLE_SHARED - -LT_OPTION_DEFINE([LT_INIT], [shared], [_LT_ENABLE_SHARED([yes])]) -LT_OPTION_DEFINE([LT_INIT], [disable-shared], [_LT_ENABLE_SHARED([no])]) - -# Old names: -AC_DEFUN([AC_ENABLE_SHARED], -[_LT_SET_OPTION([LT_INIT], m4_if([$1], [no], [disable-])[shared]) -]) - -AC_DEFUN([AC_DISABLE_SHARED], -[_LT_SET_OPTION([LT_INIT], [disable-shared]) -]) - -AU_DEFUN([AM_ENABLE_SHARED], [AC_ENABLE_SHARED($@)]) -AU_DEFUN([AM_DISABLE_SHARED], [AC_DISABLE_SHARED($@)]) - -dnl aclocal-1.4 backwards compatibility: -dnl AC_DEFUN([AM_ENABLE_SHARED], []) -dnl AC_DEFUN([AM_DISABLE_SHARED], []) - - - -# _LT_ENABLE_STATIC([DEFAULT]) -# ---------------------------- -# implement the --enable-static flag, and support the 'static' and -# 'disable-static' LT_INIT options. -# DEFAULT is either 'yes' or 'no'. If omitted, it defaults to 'yes'. -m4_define([_LT_ENABLE_STATIC], -[m4_define([_LT_ENABLE_STATIC_DEFAULT], [m4_if($1, no, no, yes)])dnl -AC_ARG_ENABLE([static], - [AS_HELP_STRING([--enable-static@<:@=PKGS@:>@], - [build static libraries @<:@default=]_LT_ENABLE_STATIC_DEFAULT[@:>@])], - [p=${PACKAGE-default} - case $enableval in - yes) enable_static=yes ;; - no) enable_static=no ;; - *) - enable_static=no - # Look at the argument we got. We use all the common list separators. - lt_save_ifs=$IFS; IFS=$IFS$PATH_SEPARATOR, - for pkg in $enableval; do - IFS=$lt_save_ifs - if test "X$pkg" = "X$p"; then - enable_static=yes - fi - done - IFS=$lt_save_ifs - ;; - esac], - [enable_static=]_LT_ENABLE_STATIC_DEFAULT) - - _LT_DECL([build_old_libs], [enable_static], [0], - [Whether or not to build static libraries]) -])# _LT_ENABLE_STATIC - -LT_OPTION_DEFINE([LT_INIT], [static], [_LT_ENABLE_STATIC([yes])]) -LT_OPTION_DEFINE([LT_INIT], [disable-static], [_LT_ENABLE_STATIC([no])]) - -# Old names: -AC_DEFUN([AC_ENABLE_STATIC], -[_LT_SET_OPTION([LT_INIT], m4_if([$1], [no], [disable-])[static]) -]) - -AC_DEFUN([AC_DISABLE_STATIC], -[_LT_SET_OPTION([LT_INIT], [disable-static]) -]) - -AU_DEFUN([AM_ENABLE_STATIC], [AC_ENABLE_STATIC($@)]) -AU_DEFUN([AM_DISABLE_STATIC], [AC_DISABLE_STATIC($@)]) - -dnl aclocal-1.4 backwards compatibility: -dnl AC_DEFUN([AM_ENABLE_STATIC], []) -dnl AC_DEFUN([AM_DISABLE_STATIC], []) - - - -# _LT_ENABLE_FAST_INSTALL([DEFAULT]) -# ---------------------------------- -# implement the --enable-fast-install flag, and support the 'fast-install' -# and 'disable-fast-install' LT_INIT options. -# DEFAULT is either 'yes' or 'no'. If omitted, it defaults to 'yes'. -m4_define([_LT_ENABLE_FAST_INSTALL], -[m4_define([_LT_ENABLE_FAST_INSTALL_DEFAULT], [m4_if($1, no, no, yes)])dnl -AC_ARG_ENABLE([fast-install], - [AS_HELP_STRING([--enable-fast-install@<:@=PKGS@:>@], - [optimize for fast installation @<:@default=]_LT_ENABLE_FAST_INSTALL_DEFAULT[@:>@])], - [p=${PACKAGE-default} - case $enableval in - yes) enable_fast_install=yes ;; - no) enable_fast_install=no ;; - *) - enable_fast_install=no - # Look at the argument we got. We use all the common list separators. - lt_save_ifs=$IFS; IFS=$IFS$PATH_SEPARATOR, - for pkg in $enableval; do - IFS=$lt_save_ifs - if test "X$pkg" = "X$p"; then - enable_fast_install=yes - fi - done - IFS=$lt_save_ifs - ;; - esac], - [enable_fast_install=]_LT_ENABLE_FAST_INSTALL_DEFAULT) - -_LT_DECL([fast_install], [enable_fast_install], [0], - [Whether or not to optimize for fast installation])dnl -])# _LT_ENABLE_FAST_INSTALL - -LT_OPTION_DEFINE([LT_INIT], [fast-install], [_LT_ENABLE_FAST_INSTALL([yes])]) -LT_OPTION_DEFINE([LT_INIT], [disable-fast-install], [_LT_ENABLE_FAST_INSTALL([no])]) - -# Old names: -AU_DEFUN([AC_ENABLE_FAST_INSTALL], -[_LT_SET_OPTION([LT_INIT], m4_if([$1], [no], [disable-])[fast-install]) -AC_DIAGNOSE([obsolete], -[$0: Remove this warning and the call to _LT_SET_OPTION when you put -the 'fast-install' option into LT_INIT's first parameter.]) -]) - -AU_DEFUN([AC_DISABLE_FAST_INSTALL], -[_LT_SET_OPTION([LT_INIT], [disable-fast-install]) -AC_DIAGNOSE([obsolete], -[$0: Remove this warning and the call to _LT_SET_OPTION when you put -the 'disable-fast-install' option into LT_INIT's first parameter.]) -]) - -dnl aclocal-1.4 backwards compatibility: -dnl AC_DEFUN([AC_ENABLE_FAST_INSTALL], []) -dnl AC_DEFUN([AM_DISABLE_FAST_INSTALL], []) - - -# _LT_WITH_AIX_SONAME([DEFAULT]) -# ---------------------------------- -# implement the --with-aix-soname flag, and support the `aix-soname=aix' -# and `aix-soname=both' and `aix-soname=svr4' LT_INIT options. DEFAULT -# is either `aix', `both' or `svr4'. If omitted, it defaults to `aix'. -m4_define([_LT_WITH_AIX_SONAME], -[m4_define([_LT_WITH_AIX_SONAME_DEFAULT], [m4_if($1, svr4, svr4, m4_if($1, both, both, aix))])dnl -shared_archive_member_spec= -case $host,$enable_shared in -power*-*-aix[[5-9]]*,yes) - AC_MSG_CHECKING([which variant of shared library versioning to provide]) - AC_ARG_WITH([aix-soname], - [AS_HELP_STRING([--with-aix-soname=aix|svr4|both], - [shared library versioning (aka "SONAME") variant to provide on AIX, @<:@default=]_LT_WITH_AIX_SONAME_DEFAULT[@:>@.])], - [case $withval in - aix|svr4|both) - ;; - *) - AC_MSG_ERROR([Unknown argument to --with-aix-soname]) - ;; - esac - lt_cv_with_aix_soname=$with_aix_soname], - [AC_CACHE_VAL([lt_cv_with_aix_soname], - [lt_cv_with_aix_soname=]_LT_WITH_AIX_SONAME_DEFAULT) - with_aix_soname=$lt_cv_with_aix_soname]) - AC_MSG_RESULT([$with_aix_soname]) - if test aix != "$with_aix_soname"; then - # For the AIX way of multilib, we name the shared archive member - # based on the bitwidth used, traditionally 'shr.o' or 'shr_64.o', - # and 'shr.imp' or 'shr_64.imp', respectively, for the Import File. - # Even when GNU compilers ignore OBJECT_MODE but need '-maix64' flag, - # the AIX toolchain works better with OBJECT_MODE set (default 32). - if test 64 = "${OBJECT_MODE-32}"; then - shared_archive_member_spec=shr_64 - else - shared_archive_member_spec=shr - fi - fi - ;; -*) - with_aix_soname=aix - ;; -esac - -_LT_DECL([], [shared_archive_member_spec], [0], - [Shared archive member basename, for filename based shared library versioning on AIX])dnl -])# _LT_WITH_AIX_SONAME - -LT_OPTION_DEFINE([LT_INIT], [aix-soname=aix], [_LT_WITH_AIX_SONAME([aix])]) -LT_OPTION_DEFINE([LT_INIT], [aix-soname=both], [_LT_WITH_AIX_SONAME([both])]) -LT_OPTION_DEFINE([LT_INIT], [aix-soname=svr4], [_LT_WITH_AIX_SONAME([svr4])]) - - -# _LT_WITH_PIC([MODE]) -# -------------------- -# implement the --with-pic flag, and support the 'pic-only' and 'no-pic' -# LT_INIT options. -# MODE is either 'yes' or 'no'. If omitted, it defaults to 'both'. -m4_define([_LT_WITH_PIC], -[AC_ARG_WITH([pic], - [AS_HELP_STRING([--with-pic@<:@=PKGS@:>@], - [try to use only PIC/non-PIC objects @<:@default=use both@:>@])], - [lt_p=${PACKAGE-default} - case $withval in - yes|no) pic_mode=$withval ;; - *) - pic_mode=default - # Look at the argument we got. We use all the common list separators. - lt_save_ifs=$IFS; IFS=$IFS$PATH_SEPARATOR, - for lt_pkg in $withval; do - IFS=$lt_save_ifs - if test "X$lt_pkg" = "X$lt_p"; then - pic_mode=yes - fi - done - IFS=$lt_save_ifs - ;; - esac], - [pic_mode=m4_default([$1], [default])]) - -_LT_DECL([], [pic_mode], [0], [What type of objects to build])dnl -])# _LT_WITH_PIC - -LT_OPTION_DEFINE([LT_INIT], [pic-only], [_LT_WITH_PIC([yes])]) -LT_OPTION_DEFINE([LT_INIT], [no-pic], [_LT_WITH_PIC([no])]) - -# Old name: -AU_DEFUN([AC_LIBTOOL_PICMODE], -[_LT_SET_OPTION([LT_INIT], [pic-only]) -AC_DIAGNOSE([obsolete], -[$0: Remove this warning and the call to _LT_SET_OPTION when you -put the 'pic-only' option into LT_INIT's first parameter.]) -]) - -dnl aclocal-1.4 backwards compatibility: -dnl AC_DEFUN([AC_LIBTOOL_PICMODE], []) - -## ----------------- ## -## LTDL_INIT Options ## -## ----------------- ## - -m4_define([_LTDL_MODE], []) -LT_OPTION_DEFINE([LTDL_INIT], [nonrecursive], - [m4_define([_LTDL_MODE], [nonrecursive])]) -LT_OPTION_DEFINE([LTDL_INIT], [recursive], - [m4_define([_LTDL_MODE], [recursive])]) -LT_OPTION_DEFINE([LTDL_INIT], [subproject], - [m4_define([_LTDL_MODE], [subproject])]) - -m4_define([_LTDL_TYPE], []) -LT_OPTION_DEFINE([LTDL_INIT], [installable], - [m4_define([_LTDL_TYPE], [installable])]) -LT_OPTION_DEFINE([LTDL_INIT], [convenience], - [m4_define([_LTDL_TYPE], [convenience])]) diff --git a/libs/GeographicLib-1.50.1/m4/ltsugar.m4 b/libs/GeographicLib-1.50.1/m4/ltsugar.m4 deleted file mode 100644 index 48bc9344a4d661e116be1483d5520753875b2bd1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/m4/ltsugar.m4 +++ /dev/null @@ -1,124 +0,0 @@ -# ltsugar.m4 -- libtool m4 base layer. -*-Autoconf-*- -# -# Copyright (C) 2004-2005, 2007-2008, 2011-2015 Free Software -# Foundation, Inc. -# Written by Gary V. Vaughan, 2004 -# -# This file is free software; the Free Software Foundation gives -# unlimited permission to copy and/or distribute it, with or without -# modifications, as long as this notice is preserved. - -# serial 6 ltsugar.m4 - -# This is to help aclocal find these macros, as it can't see m4_define. -AC_DEFUN([LTSUGAR_VERSION], [m4_if([0.1])]) - - -# lt_join(SEP, ARG1, [ARG2...]) -# ----------------------------- -# Produce ARG1SEPARG2...SEPARGn, omitting [] arguments and their -# associated separator. -# Needed until we can rely on m4_join from Autoconf 2.62, since all earlier -# versions in m4sugar had bugs. -m4_define([lt_join], -[m4_if([$#], [1], [], - [$#], [2], [[$2]], - [m4_if([$2], [], [], [[$2]_])$0([$1], m4_shift(m4_shift($@)))])]) -m4_define([_lt_join], -[m4_if([$#$2], [2], [], - [m4_if([$2], [], [], [[$1$2]])$0([$1], m4_shift(m4_shift($@)))])]) - - -# lt_car(LIST) -# lt_cdr(LIST) -# ------------ -# Manipulate m4 lists. -# These macros are necessary as long as will still need to support -# Autoconf-2.59, which quotes differently. -m4_define([lt_car], [[$1]]) -m4_define([lt_cdr], -[m4_if([$#], 0, [m4_fatal([$0: cannot be called without arguments])], - [$#], 1, [], - [m4_dquote(m4_shift($@))])]) -m4_define([lt_unquote], $1) - - -# lt_append(MACRO-NAME, STRING, [SEPARATOR]) -# ------------------------------------------ -# Redefine MACRO-NAME to hold its former content plus 'SEPARATOR''STRING'. -# Note that neither SEPARATOR nor STRING are expanded; they are appended -# to MACRO-NAME as is (leaving the expansion for when MACRO-NAME is invoked). -# No SEPARATOR is output if MACRO-NAME was previously undefined (different -# than defined and empty). -# -# This macro is needed until we can rely on Autoconf 2.62, since earlier -# versions of m4sugar mistakenly expanded SEPARATOR but not STRING. -m4_define([lt_append], -[m4_define([$1], - m4_ifdef([$1], [m4_defn([$1])[$3]])[$2])]) - - - -# lt_combine(SEP, PREFIX-LIST, INFIX, SUFFIX1, [SUFFIX2...]) -# ---------------------------------------------------------- -# Produce a SEP delimited list of all paired combinations of elements of -# PREFIX-LIST with SUFFIX1 through SUFFIXn. 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The -# distrib-man target copies the derived documentation files into the -# source tree. -if (MAINTAINER) - add_custom_target (manpages ALL DEPENDS ${MANPAGES} - COMMENT "Building all the man pages") - add_custom_target (usage ALL DEPENDS ${USAGE} - COMMENT "Converting the man pages to online usage") - add_custom_target (htmlman ALL DEPENDS ${HTMLMAN} - COMMENT "Building html versions of the man pages") - add_dependencies (man manpages usage htmlman) - add_dependencies (distrib-man man) - add_custom_command (TARGET distrib-man - COMMAND - for f in ${MANPAGES} ${USAGE} ${HTMLMAN}\; do - install -C -m 644 "$$f" ${CMAKE_CURRENT_SOURCE_DIR}\; done - COMMENT "Installing man documentation page in source tree") -else () - add_custom_target (htmlman ALL DEPENDS ${HTMLMAN}) -endif () - -# Install the man pages. -install (FILES ${MANPAGES} DESTINATION share/man/man1) -if (NOT WIN32) - install (FILES ${SYSMANPAGES} DESTINATION share/man/man8) -endif () diff --git a/libs/GeographicLib-1.50.1/man/CartConvert.1 b/libs/GeographicLib-1.50.1/man/CartConvert.1 deleted file mode 100644 index ec61965869755f3e4b003d31de858efd34ab99f4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/CartConvert.1 +++ /dev/null @@ -1,267 +0,0 @@ -.\" Automatically generated by Pod::Man 4.12 (Pod::Simple 3.39) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -CartConvert \-\- convert geodetic coordinates to geocentric or local cartesian -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBCartConvert\fR [ \fB\-r\fR ] [ \fB\-l\fR \fIlat0\fR \fIlon0\fR \fIh0\fR ] -[ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -Convert geodetic coordinates to either geocentric or local cartesian -coordinates. Geocentric coordinates have the origin at the center of -the earth, with the \fIz\fR axis going thru the north pole, and the \fIx\fR -axis thru \fIlatitude\fR = 0, \fIlongitude\fR = 0. By default, the -conversion is to geocentric coordinates. Specifying \fB\-l\fR \fIlat0\fR -\&\fIlon0\fR \fIh0\fR causes a local coordinate system to be used with the -origin at \fIlatitude\fR = \fIlat0\fR, \fIlongitude\fR = \fIlon0\fR, \fIheight\fR = -\&\fIh0\fR, \fIz\fR normal to the ellipsoid and \fIy\fR due north. -.PP -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) \fIlatitude\fR, \fIlongitude\fR (decimal degrees -or degrees, minutes and seconds), and \fIheight\fR above the ellipsoid -(meters); for details on the allowed formats for latitude and longitude, -see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR section of \fBGeoConvert\fR\|(1). For each -set of geodetic coordinates, the corresponding cartesian coordinates -\&\fIx\fR, \fIy\fR, \fIz\fR (meters) are printed on standard output. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-r\fR" 4 -.IX Item "-r" -perform the reverse projection. \fIx\fR, \fIy\fR, \fIz\fR are given on -standard input and each line of standard output gives \fIlatitude\fR, -\&\fIlongitude\fR, \fIheight\fR. In general there are multiple solutions and -the result which minimizes the absolute value of \fIheight\fR is -returned, i.e., (\fIlatitude\fR, \fIlongitude\fR) corresponds to the closest -point on the ellipsoid. -.IP "\fB\-l\fR \fIlat0\fR \fIlon0\fR \fIh0\fR" 4 -.IX Item "-l lat0 lon0 h0" -specifies conversions to and from a local cartesion coordinate systems -with origin \fIlat0\fR \fIlon0\fR \fIh0\fR, instead of a geocentric coordinate -system. The \fB\-w\fR flag can be used to swap the default order of the 2 -geographic coordinates, provided that it appears before \fB\-l\fR. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 6). \fIprec\fR is the number -of digits after the decimal point for geocentric and local cartesion -coordinates and for the height (in meters). For latitudes and -longitudes (in degrees), the number of digits after the decimal point is -\&\fIprec\fR + 5. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 6 -\& echo 33.3 44.4 6000 | CartConvert -\& => 3816209.60 3737108.55 3485109.57 -\& echo 33.3 44.4 6000 | CartConvert \-l 33 44 20 -\& => 37288.97 33374.29 5783.64 -\& echo 30000 30000 0 | CartConvert \-r -\& => 6.483 45 \-6335709.73 -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBCartConvert\fR to return an exit -code of 1. However, an error does not cause \fBCartConvert\fR to -terminate; following lines will be converted. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -The algorithm for converting geocentric to geodetic coordinates is given -in Appendix B of C. F. F. Karney, \fIGeodesics on an ellipsoid of -revolution\fR, Feb. 2011; preprint . -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBCartConvert\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBCartConvert\fR was added to GeographicLib, -, in 2009\-02. Prior to 2009\-03 it was -called ECEFConvert. diff --git a/libs/GeographicLib-1.50.1/man/CartConvert.1.html b/libs/GeographicLib-1.50.1/man/CartConvert.1.html deleted file mode 100644 index cd526419eb982cd0256c7756c81be6091e021e05..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/CartConvert.1.html +++ /dev/null @@ -1,142 +0,0 @@ - - - - -CartConvert(1) - - - - - - - - -

NAME

- -

CartConvert -- convert geodetic coordinates to geocentric or local cartesian

- -

SYNOPSIS

- -

CartConvert [ -r ] [ -l lat0 lon0 h0 ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Convert geodetic coordinates to either geocentric or local cartesian coordinates. Geocentric coordinates have the origin at the center of the earth, with the z axis going thru the north pole, and the x axis thru latitude = 0, longitude = 0. By default, the conversion is to geocentric coordinates. Specifying -l lat0 lon0 h0 causes a local coordinate system to be used with the origin at latitude = lat0, longitude = lon0, height = h0, z normal to the ellipsoid and y due north.

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude, longitude (decimal degrees or degrees, minutes and seconds), and height above the ellipsoid (meters); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding cartesian coordinates x, y, z (meters) are printed on standard output.

- -

OPTIONS

- -
- -
-r
-
- -

perform the reverse projection. x, y, z are given on standard input and each line of standard output gives latitude, longitude, height. In general there are multiple solutions and the result which minimizes the absolute value of height is returned, i.e., (latitude, longitude) corresponds to the closest point on the ellipsoid.

- -
-
-l lat0 lon0 h0
-
- -

specifies conversions to and from a local cartesion coordinate systems with origin lat0 lon0 h0, instead of a geocentric coordinate system. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -l.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for geocentric and local cartesion coordinates and for the height (in meters). For latitudes and longitudes (in degrees), the number of digits after the decimal point is prec + 5.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 33.3 44.4 6000 | CartConvert
-   => 3816209.60 3737108.55 3485109.57
-   echo 33.3 44.4 6000 | CartConvert -l 33 44 20
-   => 37288.97 33374.29 5783.64
-   echo 30000 30000 0 | CartConvert -r
-   => 6.483 45 -6335709.73
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes CartConvert to return an exit code of 1. However, an error does not cause CartConvert to terminate; following lines will be converted.

- -

SEE ALSO

- -

The algorithm for converting geocentric to geodetic coordinates is given in Appendix B of C. F. F. Karney, Geodesics on an ellipsoid of revolution, Feb. 2011; preprint https://arxiv.org/abs/1102.1215.

- -

AUTHOR

- -

CartConvert was written by Charles Karney.

- -

HISTORY

- -

CartConvert was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-02. Prior to 2009-03 it was called ECEFConvert.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/man/CartConvert.pod b/libs/GeographicLib-1.50.1/man/CartConvert.pod deleted file mode 100644 index 8e9e0b5193bba027b5e6239b321d0c4c6065dcc2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/CartConvert.pod +++ /dev/null @@ -1,150 +0,0 @@ -=head1 NAME - -CartConvert -- convert geodetic coordinates to geocentric or local cartesian - -=head1 SYNOPSIS - -B [ B<-r> ] [ B<-l> I I I ] -[ B<-e> I I ] [ B<-w> ] [ B<-p> I ] -[ B<--comment-delimiter> I ] -[ B<--version> | B<-h> | B<--help> ] -[ B<--input-file> I | B<--input-string> I ] -[ B<--line-separator> I ] -[ B<--output-file> I ] - -=head1 DESCRIPTION - -Convert geodetic coordinates to either geocentric or local cartesian -coordinates. Geocentric coordinates have the origin at the center of -the earth, with the I axis going thru the north pole, and the I -axis thru I = 0, I = 0. By default, the -conversion is to geocentric coordinates. Specifying B<-l> I -I I causes a local coordinate system to be used with the -origin at I = I, I = I, I = -I, I normal to the ellipsoid and I due north. - -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) I, I (decimal degrees -or degrees, minutes and seconds), and I above the ellipsoid -(meters); for details on the allowed formats for latitude and longitude, -see the C section of GeoConvert(1). For each -set of geodetic coordinates, the corresponding cartesian coordinates -I, I, I (meters) are printed on standard output. - -=head1 OPTIONS - -=over - -=item B<-r> - -perform the reverse projection. I, I, I are given on -standard input and each line of standard output gives I, -I, I. In general there are multiple solutions and -the result which minimizes the absolute value of I is -returned, i.e., (I, I) corresponds to the closest -point on the ellipsoid. - -=item B<-l> I I I - -specifies conversions to and from a local cartesion coordinate systems -with origin I I I, instead of a geocentric coordinate -system. The B<-w> flag can be used to swap the default order of the 2 -geographic coordinates, provided that it appears before B<-l>. - -=item B<-e> I I - -specify the ellipsoid via the equatorial radius, I and -the flattening, I. Setting I = 0 results in a sphere. Specify -I E 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for I. By default, the WGS84 ellipsoid is used, I = -6378137 m, I = 1/298.257223563. - -=item B<-w> - -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, I, I, I, -I). - -=item B<-p> I - -set the output precision to I (default 6). I is the number -of digits after the decimal point for geocentric and local cartesion -coordinates and for the height (in meters). For latitudes and -longitudes (in degrees), the number of digits after the decimal point is -I + 5. - -=item B<--comment-delimiter> I - -set the comment delimiter to I (e.g., "#" or "//"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). - -=item B<--version> - -print version and exit. - -=item B<-h> - -print usage and exit. - -=item B<--help> - -print full documentation and exit. - -=item B<--input-file> I - -read input from the file I instead of from standard input; a file -name of "-" stands for standard input. - -=item B<--input-string> I - -read input from the string I instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in I are converted to newlines before the reading begins. - -=item B<--line-separator> I - -set the line separator character to I. By default this is a -semicolon. - -=item B<--output-file> I - -write output to the file I instead of to standard output; a -file name of "-" stands for standard output. - -=back - -=head1 EXAMPLES - - echo 33.3 44.4 6000 | CartConvert - => 3816209.60 3737108.55 3485109.57 - echo 33.3 44.4 6000 | CartConvert -l 33 44 20 - => 37288.97 33374.29 5783.64 - echo 30000 30000 0 | CartConvert -r - => 6.483 45 -6335709.73 - -=head1 ERRORS - -An illegal line of input will print an error message to standard output -beginning with C and causes B to return an exit -code of 1. However, an error does not cause B to -terminate; following lines will be converted. - -=head1 SEE ALSO - -The algorithm for converting geocentric to geodetic coordinates is given -in Appendix B of C. F. F. Karney, I, Feb. 2011; preprint L. - -=head1 AUTHOR - -B was written by Charles Karney. - -=head1 HISTORY - -B was added to GeographicLib, -L, in 2009-02. Prior to 2009-03 it was -called ECEFConvert. diff --git a/libs/GeographicLib-1.50.1/man/CartConvert.usage b/libs/GeographicLib-1.50.1/man/CartConvert.usage deleted file mode 100644 index aca9758d5bca4585114d504d0a82cae3197771a1..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/CartConvert.usage +++ /dev/null @@ -1,138 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" CartConvert [ -r ] [ -l lat0 lon0 h0 ] [ -e a f ] [ -w ] [ -p prec ] [\n" -" --comment-delimiter commentdelim ] [ --version | -h | --help ] [\n" -" --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" CartConvert --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/CartConvert.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" CartConvert -- convert geodetic coordinates to geocentric or local\n" -" cartesian\n" -"\n" -"SYNOPSIS\n" -" CartConvert [ -r ] [ -l lat0 lon0 h0 ] [ -e a f ] [ -w ] [ -p prec ] [\n" -" --comment-delimiter commentdelim ] [ --version | -h | --help ] [\n" -" --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" Convert geodetic coordinates to either geocentric or local cartesian\n" -" coordinates. Geocentric coordinates have the origin at the center of\n" -" the earth, with the z axis going thru the north pole, and the x axis\n" -" thru latitude = 0, longitude = 0. By default, the conversion is to\n" -" geocentric coordinates. Specifying -l lat0 lon0 h0 causes a local\n" -" coordinate system to be used with the origin at latitude = lat0,\n" -" longitude = lon0, height = h0, z normal to the ellipsoid and y due\n" -" north.\n" -"\n" -" Geodetic coordinates are provided on standard input as a set of lines\n" -" containing (blank separated) latitude, longitude (decimal degrees or\n" -" degrees, minutes and seconds), and height above the ellipsoid (meters);\n" -" for details on the allowed formats for latitude and longitude, see the\n" -" \"GEOGRAPHIC COORDINATES\" section of GeoConvert(1). For each set of\n" -" geodetic coordinates, the corresponding cartesian coordinates x, y, z\n" -" (meters) are printed on standard output.\n" -"\n" -"OPTIONS\n" -" -r perform the reverse projection. x, y, z are given on standard\n" -" input and each line of standard output gives latitude, longitude,\n" -" height. In general there are multiple solutions and the result\n" -" which minimizes the absolute value of height is returned, i.e.,\n" -" (latitude, longitude) corresponds to the closest point on the\n" -" ellipsoid.\n" -"\n" -" -l lat0 lon0 h0\n" -" specifies conversions to and from a local cartesion coordinate\n" -" systems with origin lat0 lon0 h0, instead of a geocentric\n" -" coordinate system. The -w flag can be used to swap the default\n" -" order of the 2 geographic coordinates, provided that it appears\n" -" before -l.\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 6). prec is the number\n" -" of digits after the decimal point for geocentric and local\n" -" cartesion coordinates and for the height (in meters). For\n" -" latitudes and longitudes (in degrees), the number of digits after\n" -" the decimal point is prec + 5.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"EXAMPLES\n" -" echo 33.3 44.4 6000 | CartConvert\n" -" => 3816209.60 3737108.55 3485109.57\n" -" echo 33.3 44.4 6000 | CartConvert -l 33 44 20\n" -" => 37288.97 33374.29 5783.64\n" -" echo 30000 30000 0 | CartConvert -r\n" -" => 6.483 45 -6335709.73\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes CartConvert to return an exit code\n" -" of 1. However, an error does not cause CartConvert to terminate;\n" -" following lines will be converted.\n" -"\n" -"SEE ALSO\n" -" The algorithm for converting geocentric to geodetic coordinates is\n" -" given in Appendix B of C. F. F. Karney, Geodesics on an ellipsoid of\n" -" revolution, Feb. 2011; preprint .\n" -"\n" -"AUTHOR\n" -" CartConvert was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" CartConvert was added to GeographicLib,\n" -" , in 2009-02. Prior to 2009-03\n" -" it was called ECEFConvert.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/man/ConicProj.1 b/libs/GeographicLib-1.50.1/man/ConicProj.1 deleted file mode 100644 index 651dfe69f49826c1944dfe069117255fdb54b6b8..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/ConicProj.1 +++ /dev/null @@ -1,280 +0,0 @@ -.\" Automatically generated by Pod::Man 4.12 (Pod::Simple 3.39) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -ConicProj \-\- perform conic projections -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBConicProj\fR ( \fB\-c\fR | \fB\-a\fR ) \fIlat1\fR \fIlat2\fR -[ \fB\-l\fR \fIlon0\fR ] [ \fB\-k\fR \fIk1\fR ] [ \fB\-r\fR ] -[ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -Perform one of two conic projections geodesics. Convert geodetic -coordinates to either Lambert conformal conic or Albers equal area -coordinates. The standard latitudes \fIlat1\fR and \fIlat2\fR are specified -by that the \fB\-c\fR option (for Lambert conformal conic) or the \fB\-a\fR -option (for Albers equal area). At least one of these options must be -given (the last one given is used). Specify \fIlat1\fR = \fIlat2\fR, to -obtain the case with a single standard parallel. The central meridian -is given by \fIlon0\fR. The longitude of origin is given by the latitude -of minimum (azimuthal) scale for Lambert conformal conic (Albers equal -area). The (azimuthal) scale on the standard parallels is \fIk1\fR. -.PP -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) \fIlatitude\fR and \fIlongitude\fR (decimal -degrees or degrees, minutes, seconds); for details on the allowed -formats for latitude and longitude, see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR -section of \fBGeoConvert\fR\|(1). For each set of geodetic coordinates, the -corresponding projected easting, \fIx\fR, and northing, \fIy\fR, (meters) are -printed on standard output together with the meridian convergence -\&\fIgamma\fR (degrees) and (azimuthal) scale \fIk\fR. For Albers equal area, -the radial scale is 1/\fIk\fR. The meridian convergence is the bearing of -the \fIy\fR axis measured clockwise from true north. -.PP -Special cases of the Lambert conformal projection are the Mercator -projection (the standard latitudes equal and opposite) and the polar -stereographic projection (both standard latitudes correspond to the same -pole). Special cases of the Albers equal area projection are the -cylindrical equal area projection (the standard latitudes equal and -opposite), the Lambert azimuthal equal area projection (both standard -latitude corresponds to the same pole), and the Lambert equal area conic -projection (one standard parallel is at a pole). -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-c\fR \fIlat1\fR \fIlat2\fR" 4 -.IX Item "-c lat1 lat2" -use the Lambert conformal conic projection with standard parallels -\&\fIlat1\fR and \fIlat2\fR. -.IP "\fB\-a\fR \fIlat1\fR \fIlat2\fR" 4 -.IX Item "-a lat1 lat2" -use the Albers equal area projection with standard parallels \fIlat1\fR and -\&\fIlat2\fR. -.IP "\fB\-l\fR \fIlon0\fR" 4 -.IX Item "-l lon0" -specify the longitude of origin \fIlon0\fR (degrees, default 0). -.IP "\fB\-k\fR \fIk1\fR" 4 -.IX Item "-k k1" -specify the (azimuthal) scale \fIk1\fR on the standard parallels (default -1). -.IP "\fB\-r\fR" 4 -.IX Item "-r" -perform the reverse projection. \fIx\fR and \fIy\fR are given on standard -input and each line of standard output gives \fIlatitude\fR, \fIlongitude\fR, -\&\fIgamma\fR, and \fIk\fR. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 6). \fIprec\fR is the number -of digits after the decimal point for lengths (in meters). For -latitudes and longitudes (in degrees), the number of digits after the -decimal point is \fIprec\fR + 5. For the convergence (in degrees) and -scale, the number of digits after the decimal point is \fIprec\fR + 6. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 4 -\& echo 39.95N 75.17W | ConicProj \-c 40d58 39d56 \-l 77d45W -\& => 220445 \-52372 1.67 1.0 -\& echo 220445 \-52372 | ConicProj \-c 40d58 39d56 \-l 77d45W \-r -\& => 39.95 \-75.17 1.67 1.0 -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBConicProj\fR to return an exit -code of 1. However, an error does not cause \fBConicProj\fR to -terminate; following lines will be converted. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBConicProj\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBConicProj\fR was added to GeographicLib, -, in version 1.9. diff --git a/libs/GeographicLib-1.50.1/man/ConicProj.1.html b/libs/GeographicLib-1.50.1/man/ConicProj.1.html deleted file mode 100644 index 4ed134c812434d95ec043a769563c8c96fca3b96..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/ConicProj.1.html +++ /dev/null @@ -1,156 +0,0 @@ - - - - -ConicProj(1) - - - - - - - - -

NAME

- -

ConicProj -- perform conic projections

- -

SYNOPSIS

- -

ConicProj ( -c | -a ) lat1 lat2 [ -l lon0 ] [ -k k1 ] [ -r ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Perform one of two conic projections geodesics. Convert geodetic coordinates to either Lambert conformal conic or Albers equal area coordinates. The standard latitudes lat1 and lat2 are specified by that the -c option (for Lambert conformal conic) or the -a option (for Albers equal area). At least one of these options must be given (the last one given is used). Specify lat1 = lat2, to obtain the case with a single standard parallel. The central meridian is given by lon0. The longitude of origin is given by the latitude of minimum (azimuthal) scale for Lambert conformal conic (Albers equal area). The (azimuthal) scale on the standard parallels is k1.

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude and longitude (decimal degrees or degrees, minutes, seconds); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding projected easting, x, and northing, y, (meters) are printed on standard output together with the meridian convergence gamma (degrees) and (azimuthal) scale k. For Albers equal area, the radial scale is 1/k. The meridian convergence is the bearing of the y axis measured clockwise from true north.

- -

Special cases of the Lambert conformal projection are the Mercator projection (the standard latitudes equal and opposite) and the polar stereographic projection (both standard latitudes correspond to the same pole). Special cases of the Albers equal area projection are the cylindrical equal area projection (the standard latitudes equal and opposite), the Lambert azimuthal equal area projection (both standard latitude corresponds to the same pole), and the Lambert equal area conic projection (one standard parallel is at a pole).

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OPTIONS

- -
- -
-c lat1 lat2
-
- -

use the Lambert conformal conic projection with standard parallels lat1 and lat2.

- -
-
-a lat1 lat2
-
- -

use the Albers equal area projection with standard parallels lat1 and lat2.

- -
-
-l lon0
-
- -

specify the longitude of origin lon0 (degrees, default 0).

- -
-
-k k1
-
- -

specify the (azimuthal) scale k1 on the standard parallels (default 1).

- -
-
-r
-
- -

perform the reverse projection. x and y are given on standard input and each line of standard output gives latitude, longitude, gamma, and k.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for lengths (in meters). For latitudes and longitudes (in degrees), the number of digits after the decimal point is prec + 5. For the convergence (in degrees) and scale, the number of digits after the decimal point is prec + 6.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 39.95N 75.17W | ConicProj -c 40d58 39d56 -l 77d45W
-   => 220445 -52372 1.67 1.0
-   echo 220445 -52372 | ConicProj -c 40d58 39d56 -l 77d45W -r
-   => 39.95 -75.17 1.67 1.0
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes ConicProj to return an exit code of 1. However, an error does not cause ConicProj to terminate; following lines will be converted.

- -

AUTHOR

- -

ConicProj was written by Charles Karney.

- -

HISTORY

- - - - - - - - - diff --git a/libs/GeographicLib-1.50.1/man/ConicProj.pod b/libs/GeographicLib-1.50.1/man/ConicProj.pod deleted file mode 100644 index d43669d33019d8558108c1abe90f54998cf98bea..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/ConicProj.pod +++ /dev/null @@ -1,165 +0,0 @@ -=head1 NAME - -ConicProj -- perform conic projections - -=head1 SYNOPSIS - -B ( B<-c> | B<-a> ) I I -[ B<-l> I ] [ B<-k> I ] [ B<-r> ] -[ B<-e> I I ] [ B<-w> ] [ B<-p> I ] -[ B<--comment-delimiter> I ] -[ B<--version> | B<-h> | B<--help> ] -[ B<--input-file> I | B<--input-string> I ] -[ B<--line-separator> I ] -[ B<--output-file> I ] - -=head1 DESCRIPTION - -Perform one of two conic projections geodesics. Convert geodetic -coordinates to either Lambert conformal conic or Albers equal area -coordinates. The standard latitudes I and I are specified -by that the B<-c> option (for Lambert conformal conic) or the B<-a> -option (for Albers equal area). At least one of these options must be -given (the last one given is used). Specify I = I, to -obtain the case with a single standard parallel. The central meridian -is given by I. The longitude of origin is given by the latitude -of minimum (azimuthal) scale for Lambert conformal conic (Albers equal -area). The (azimuthal) scale on the standard parallels is I. - -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) I and I (decimal -degrees or degrees, minutes, seconds); for details on the allowed -formats for latitude and longitude, see the C -section of GeoConvert(1). For each set of geodetic coordinates, the -corresponding projected easting, I, and northing, I, (meters) are -printed on standard output together with the meridian convergence -I (degrees) and (azimuthal) scale I. For Albers equal area, -the radial scale is 1/I. The meridian convergence is the bearing of -the I axis measured clockwise from true north. - -Special cases of the Lambert conformal projection are the Mercator -projection (the standard latitudes equal and opposite) and the polar -stereographic projection (both standard latitudes correspond to the same -pole). Special cases of the Albers equal area projection are the -cylindrical equal area projection (the standard latitudes equal and -opposite), the Lambert azimuthal equal area projection (both standard -latitude corresponds to the same pole), and the Lambert equal area conic -projection (one standard parallel is at a pole). - -=head1 OPTIONS - -=over - -=item B<-c> I I - -use the Lambert conformal conic projection with standard parallels -I and I. - -=item B<-a> I I - -use the Albers equal area projection with standard parallels I and -I. - -=item B<-l> I - -specify the longitude of origin I (degrees, default 0). - -=item B<-k> I - -specify the (azimuthal) scale I on the standard parallels (default -1). - -=item B<-r> - -perform the reverse projection. I and I are given on standard -input and each line of standard output gives I, I, -I, and I. - -=item B<-e> I I - -specify the ellipsoid via the equatorial radius, I and -the flattening, I. Setting I = 0 results in a sphere. Specify -I E 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for I. By default, the WGS84 ellipsoid is used, I = -6378137 m, I = 1/298.257223563. - -=item B<-w> - -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, I, I, I, -I). - -=item B<-p> I - -set the output precision to I (default 6). I is the number -of digits after the decimal point for lengths (in meters). For -latitudes and longitudes (in degrees), the number of digits after the -decimal point is I + 5. For the convergence (in degrees) and -scale, the number of digits after the decimal point is I + 6. - -=item B<--comment-delimiter> I - -set the comment delimiter to I (e.g., "#" or "//"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). - -=item B<--version> - -print version and exit. - -=item B<-h> - -print usage and exit. - -=item B<--help> - -print full documentation and exit. - -=item B<--input-file> I - -read input from the file I instead of from standard input; a file -name of "-" stands for standard input. - -=item B<--input-string> I - -read input from the string I instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in I are converted to newlines before the reading begins. - -=item B<--line-separator> I - -set the line separator character to I. By default this is a -semicolon. - -=item B<--output-file> I - -write output to the file I instead of to standard output; a -file name of "-" stands for standard output. - -=back - -=head1 EXAMPLES - - echo 39.95N 75.17W | ConicProj -c 40d58 39d56 -l 77d45W - => 220445 -52372 1.67 1.0 - echo 220445 -52372 | ConicProj -c 40d58 39d56 -l 77d45W -r - => 39.95 -75.17 1.67 1.0 - -=head1 ERRORS - -An illegal line of input will print an error message to standard output -beginning with C and causes B to return an exit -code of 1. However, an error does not cause B to -terminate; following lines will be converted. - -=head1 AUTHOR - -B was written by Charles Karney. - -=head1 HISTORY - -B was added to GeographicLib, -L, in version 1.9. diff --git a/libs/GeographicLib-1.50.1/man/ConicProj.usage b/libs/GeographicLib-1.50.1/man/ConicProj.usage deleted file mode 100644 index 5277dd893287eaaff774bedbbba12bea3f94a350..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/ConicProj.usage +++ /dev/null @@ -1,149 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" ConicProj ( -c | -a ) lat1 lat2 [ -l lon0 ] [ -k k1 ] [ -r ] [ -e a f ]\n" -" [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version |\n" -" -h | --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" ConicProj --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/ConicProj.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" ConicProj -- perform conic projections\n" -"\n" -"SYNOPSIS\n" -" ConicProj ( -c | -a ) lat1 lat2 [ -l lon0 ] [ -k k1 ] [ -r ] [ -e a f ]\n" -" [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version |\n" -" -h | --help ] [ --input-file infile | --input-string instring ] [\n" -" --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" Perform one of two conic projections geodesics. Convert geodetic\n" -" coordinates to either Lambert conformal conic or Albers equal area\n" -" coordinates. The standard latitudes lat1 and lat2 are specified by\n" -" that the -c option (for Lambert conformal conic) or the -a option (for\n" -" Albers equal area). At least one of these options must be given (the\n" -" last one given is used). Specify lat1 = lat2, to obtain the case with\n" -" a single standard parallel. The central meridian is given by lon0.\n" -" The longitude of origin is given by the latitude of minimum (azimuthal)\n" -" scale for Lambert conformal conic (Albers equal area). The (azimuthal)\n" -" scale on the standard parallels is k1.\n" -"\n" -" Geodetic coordinates are provided on standard input as a set of lines\n" -" containing (blank separated) latitude and longitude (decimal degrees or\n" -" degrees, minutes, seconds); for details on the allowed formats for\n" -" latitude and longitude, see the \"GEOGRAPHIC COORDINATES\" section of\n" -" GeoConvert(1). For each set of geodetic coordinates, the corresponding\n" -" projected easting, x, and northing, y, (meters) are printed on standard\n" -" output together with the meridian convergence gamma (degrees) and\n" -" (azimuthal) scale k. For Albers equal area, the radial scale is 1/k.\n" -" The meridian convergence is the bearing of the y axis measured\n" -" clockwise from true north.\n" -"\n" -" Special cases of the Lambert conformal projection are the Mercator\n" -" projection (the standard latitudes equal and opposite) and the polar\n" -" stereographic projection (both standard latitudes correspond to the\n" -" same pole). Special cases of the Albers equal area projection are the\n" -" cylindrical equal area projection (the standard latitudes equal and\n" -" opposite), the Lambert azimuthal equal area projection (both standard\n" -" latitude corresponds to the same pole), and the Lambert equal area\n" -" conic projection (one standard parallel is at a pole).\n" -"\n" -"OPTIONS\n" -" -c lat1 lat2\n" -" use the Lambert conformal conic projection with standard parallels\n" -" lat1 and lat2.\n" -"\n" -" -a lat1 lat2\n" -" use the Albers equal area projection with standard parallels lat1\n" -" and lat2.\n" -"\n" -" -l lon0\n" -" specify the longitude of origin lon0 (degrees, default 0).\n" -"\n" -" -k k1\n" -" specify the (azimuthal) scale k1 on the standard parallels (default\n" -" 1).\n" -"\n" -" -r perform the reverse projection. x and y are given on standard\n" -" input and each line of standard output gives latitude, longitude,\n" -" gamma, and k.\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 6). prec is the number\n" -" of digits after the decimal point for lengths (in meters). For\n" -" latitudes and longitudes (in degrees), the number of digits after\n" -" the decimal point is prec + 5. For the convergence (in degrees)\n" -" and scale, the number of digits after the decimal point is prec +\n" -" 6.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"EXAMPLES\n" -" echo 39.95N 75.17W | ConicProj -c 40d58 39d56 -l 77d45W\n" -" => 220445 -52372 1.67 1.0\n" -" echo 220445 -52372 | ConicProj -c 40d58 39d56 -l 77d45W -r\n" -" => 39.95 -75.17 1.67 1.0\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes ConicProj to return an exit code of\n" -" 1. However, an error does not cause ConicProj to terminate; following\n" -" lines will be converted.\n" -"\n" -"AUTHOR\n" -" ConicProj was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" ConicProj was added to GeographicLib,\n" -" , in version 1.9.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/man/GeoConvert.1 b/libs/GeographicLib-1.50.1/man/GeoConvert.1 deleted file mode 100644 index 844df57d5eb412cf6276ab389dd8b2ca7e7a23b2..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeoConvert.1 +++ /dev/null @@ -1,532 +0,0 @@ -.\" Automatically generated by Pod::Man 4.12 (Pod::Simple 3.39) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -GeoConvert \-\- convert geographic coordinates -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGeoConvert\fR [ \fB\-g\fR | \fB\-d\fR | \fB\-:\fR | \fB\-u\fR | \fB\-m\fR | \fB\-c\fR ] -[ \fB\-z\fR \fIzone\fR | \fB\-s\fR | \fB\-t\fR | \fB\-S\fR | \fB\-T\fR ] -[ \fB\-n\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] [ \fB\-l\fR | \fB\-a\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -\&\fBGeoConvert\fR reads from standard input interpreting each line as a -geographic coordinate and prints the coordinate in the format specified -by the options on standard output. The input is interpreted in one of -three different ways depending on how many space or comma delimited -tokens there are on the line. The options \fB\-g\fR, \fB\-d\fR, \fB\-u\fR, and \fB\-m\fR -govern the format of output. In all cases, the \s-1WGS84\s0 model of the earth -is used (\fIa\fR = 6378137 m, \fIf\fR = 1/298.257223563). -.IP "\fBgeographic\fR" 4 -.IX Item "geographic" -2 tokens (output options \fB\-g\fR, \fB\-d\fR, or \fB\-:\fR) given as \fIlatitude\fR -\&\fIlongitude\fR using decimal degrees or degrees, minutes, and seconds. -Latitude is given first (unless the \fB\-w\fR option is given). See -\&\*(L"\s-1GEOGRAPHIC COORDINATES\*(R"\s0 for a description of the format. For -example, the following are all equivalent -.Sp -.Vb 5 -\& 33.3 44.4 -\& E44.4 N33.3 -\& 33d18\*(AqN 44d24\*(AqE -\& 44d24 33d18N -\& 33:18 +44:24 -.Ve -.IP "\fB\s-1UTM/UPS\s0\fR" 4 -.IX Item "UTM/UPS" -3 tokens (output option \fB\-u\fR) given as \fIzone\fR+\fIhemisphere\fR \fIeasting\fR -\&\fInorthing\fR or \fIeasting\fR \fInorthing\fR \fIzone\fR+\fIhemisphere\fR, where -\&\fIhemisphere\fR is either \fIn\fR (or \fInorth\fR) or \fIs\fR (or \fIsouth\fR). The -\&\fIzone\fR is absent for a \s-1UPS\s0 specification. For example, -.Sp -.Vb 4 -\& 38n 444140.54 3684706.36 -\& 444140.54 3684706.36 38n -\& s 2173854.98 2985980.58 -\& 2173854.98 2985980.58 s -.Ve -.IP "\fB\s-1MRGS\s0\fR" 4 -.IX Item "MRGS" -1 token (output option \fB\-m\fR) is used to specify the center of an \s-1MGRS\s0 -grid square. For example, -.Sp -.Vb 2 -\& 38SMB4484 -\& 38SMB44140847064 -.Ve -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-g\fR" 4 -.IX Item "-g" -output latitude and longitude using decimal degrees. Default output mode. -.IP "\fB\-d\fR" 4 -.IX Item "-d" -output latitude and longitude using degrees, minutes, and seconds (\s-1DMS\s0). -.IP "\fB\-:\fR" 4 -.IX Item "-:" -like \fB\-d\fR, except use : as a separator instead of the d, ', and " -delimiters. -.IP "\fB\-u\fR" 4 -.IX Item "-u" -output \s-1UTM\s0 or \s-1UPS.\s0 -.IP "\fB\-m\fR" 4 -.IX Item "-m" -output \s-1MGRS.\s0 -.IP "\fB\-c\fR" 4 -.IX Item "-c" -output meridian convergence and scale for the corresponding \s-1UTM\s0 or \s-1UPS\s0 -projection. The meridian convergence is the bearing of grid north given -as degrees clockwise from true north. -.IP "\fB\-z\fR \fIzone\fR" 4 -.IX Item "-z zone" -set the zone to \fIzone\fR for output. Use either 0 < \fIzone\fR <= -60 for a \s-1UTM\s0 zone or \fIzone\fR = 0 for \s-1UPS.\s0 Alternatively use a -\&\fIzone\fR+\fIhemisphere\fR designation, e.g., 38n. See \*(L"\s-1ZONE\*(R"\s0. -.IP "\fB\-s\fR" 4 -.IX Item "-s" -use the standard \s-1UPS\s0 and \s-1UTM\s0 zones. -.IP "\fB\-t\fR" 4 -.IX Item "-t" -similar to \fB\-s\fR but forces \s-1UPS\s0 regions to the closest \s-1UTM\s0 zone. -.IP "\fB\-S\fR or \fB\-T\fR" 4 -.IX Item "-S or -T" -behave the same as \fB\-s\fR and \fB\-t\fR, respectively, until the first legal -conversion is performed. For subsequent points, the zone and hemisphere -of that conversion are used. This enables a sequence of points to be -converted into \s-1UTM\s0 or \s-1UPS\s0 using a consistent coordinate system. -.IP "\fB\-n\fR" 4 -.IX Item "-n" -on input, \s-1MGRS\s0 coordinates refer to the south-west corner of the \s-1MGRS\s0 -square instead of the center; see \*(L"\s-1MGRS\*(R"\s0. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 0); \fIprec\fR is the -precision relative to 1 m. See \*(L"\s-1PRECISION\*(R"\s0. -.IP "\fB\-l\fR" 4 -.IX Item "-l" -on output, \s-1UTM/UPS\s0 uses the long forms \fInorth\fR and \fIsouth\fR to -designate the hemisphere instead of \fIn\fR or \fIs\fR. -.IP "\fB\-a\fR" 4 -.IX Item "-a" -on output, \s-1UTM/UPS\s0 uses the abbreviations \fIn\fR and \fIs\fR to designate the -hemisphere instead of \fInorth\fR or \fIsouth\fR; this is the default -representation. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "PRECISION" -.IX Header "PRECISION" -\&\fIprec\fR gives precision of the output with \fIprec\fR = 0 giving 1 m -precision, \fIprec\fR = 3 giving 1 mm precision, etc. \fIprec\fR is the -number of digits after the decimal point for \s-1UTM/UPS.\s0 For \s-1MGRS,\s0 The -number of digits per coordinate is 5 + \fIprec\fR; \fIprec\fR = \-6 results in -just the grid zone. For decimal degrees, the number of digits after the -decimal point is 5 + \fIprec\fR. For \s-1DMS\s0 (degree, minute, seconds) output, -the number of digits after the decimal point in the seconds components -is 1 + \fIprec\fR; if this is negative then use minutes (\fIprec\fR = \-2 or -\&\-3) or degrees (\fIprec\fR <= \-4) as the least significant component. -Print convergence, resp. scale, with 5 + \fIprec\fR, resp. 7 + \fIprec\fR, -digits after the decimal point. The minimum value of \fIprec\fR is \-5 (\-6 -for \s-1MGRS\s0) and the maximum is 9 for \s-1UTM/UPS, 9\s0 for decimal degrees, 10 -for \s-1DMS, 6\s0 for \s-1MGRS,\s0 and 8 for convergence and scale. -.SH "GEOGRAPHIC COORDINATES" -.IX Header "GEOGRAPHIC COORDINATES" -The utility accepts geographic coordinates, latitude and longitude, in a -number of common formats. Latitude precedes longitude, unless the \fB\-w\fR -option is given which switches this convention. On input, either -coordinate may be given first by appending or prepending \fIN\fR or \fIS\fR to -the latitude and \fIE\fR or \fIW\fR to the longitude. These hemisphere -designators carry an implied sign, positive for \fIN\fR and \fIE\fR and -negative for \fIS\fR and \fIW\fR. This sign multiplies any +/\- sign prefixing -the coordinate. The coordinates may be given as decimal degree or as -degrees, minutes, and seconds. d, ', and " are used to denote degrees, -minutes, and seconds, with the least significant designator optional. -(See \*(L"\s-1QUOTING\*(R"\s0 for how to quote the characters ' and " when entering -coordinates on the command line.) Alternatively, : (colon) may be used -to separate the various components. Only the final component of -coordinate can include a decimal point, and the minutes and seconds -components must be less than 60. -.PP -It is also possible to carry out addition or subtraction operations in -geographic coordinates. If the coordinate includes interior signs -(i.e., not at the beginning or immediately after an initial hemisphere -designator), then the coordinate is split before such signs; the pieces -are parsed separately and the results summed. For example the point 15" -east of 39N 70W is -.PP -.Vb 1 -\& 39N 70W+0:0:15E -.Ve -.PP -\&\fB\s-1WARNING:\s0\fR \*(L"Exponential\*(R" notation is not recognized for geographic -coordinates. Thus 7.0E1 is illegal, while 7.0E+1 is parsed -as (7.0E) + (+1), yielding the same result as 8.0E. -.PP -Various unicode characters (encoded with \s-1UTF\-8\s0) may also be used to -denote degrees, minutes, and seconds, e.g., the degree, prime, and -double prime symbols; in addition two single quotes can be used to -represent ". -.PP -The other GeographicLib utilities use the same rules for interpreting -geographic coordinates; in addition, azimuths and arc lengths are -interpreted the same way. -.SH "QUOTING" -.IX Header "QUOTING" -Unfortunately the characters ' and \*(L" have special meanings in many -shells and have to be entered with care. However note (1) that the -trailing designator is optional and that (2) you can use colons as a -separator character. Thus 10d20' can be entered as 10d20 or 10:20 and -10d20'30\*(R" can be entered as 10:20:30. -.IP "Unix shells (sh, bash, tsch)" 4 -.IX Item "Unix shells (sh, bash, tsch)" -The characters ' and \*(L" can be quoted by preceding them with a \e -(backslash); or you can quote a string containing ' with a pair of \*(R"s. -The two alternatives are illustrated by -.Sp -.Vb 2 -\& echo 10d20\e\*(Aq30\e" "20d30\*(Aq40" | GeoConvert \-d \-p \-1 -\& => 10d20\*(Aq30"N 020d30\*(Aq40"E -.Ve -.Sp -Quoting of command line arguments is similar -.Sp -.Vb 2 -\& GeoConvert \-d \-p \-1 \-\-input\-string "10d20\*(Aq30\e" 20d30\*(Aq40" -\& => 10d20\*(Aq30"N 020d30\*(Aq40"E -.Ve -.IP "Windows command shell (cmd)" 4 -.IX Item "Windows command shell (cmd)" -The ' character needs no quoting; the " character can either be quoted -by a ^ or can be represented by typing ' twice. (This quoting is -usually unnecessary because the trailing designator can be omitted.) -Thus -.Sp -.Vb 2 -\& echo 10d20\*(Aq30\*(Aq\*(Aq 20d30\*(Aq40 | GeoConvert \-d \-p \-1 -\& => 10d20\*(Aq30"N 020d30\*(Aq40"E -.Ve -.Sp -Use \e to quote the " character in a command line argument -.Sp -.Vb 2 -\& GeoConvert \-d \-p \-1 \-\-input\-string "10d20\*(Aq30\e" 20d30\*(Aq40" -\& => 10d20\*(Aq30"N 020d30\*(Aq40"E -.Ve -.IP "Input from a file" 4 -.IX Item "Input from a file" -No quoting need be done if the input from a file. Thus each line of the -file \f(CW\*(C`input.txt\*(C'\fR should just contain the plain coordinates. -.Sp -.Vb 1 -\& GeoConvert \-d \-p \-1 < input.txt -.Ve -.SH "MGRS" -.IX Header "MGRS" -\&\s-1MGRS\s0 coordinates represent a square patch of the earth, thus -\&\f(CW\*(C`38SMB4488\*(C'\fR is in zone \f(CW\*(C`38n\*(C'\fR with 444km <= \fIeasting\fR < -445km and 3688km <= \fInorthing\fR < 3689km. Consistent with -this representation, coordinates are \fItruncated\fR (instead of -\&\fIrounded\fR) to the requested precision. When an \s-1MGRS\s0 coordinate is -provided as input, \fBGeoConvert\fR treats this as a representative point -within the square. By default, this representative point is the -\&\fIcenter\fR of the square (\f(CW\*(C`38n 444500 3688500\*(C'\fR in the example above). -(This leads to a stable conversion between \s-1MGRS\s0 and geographic -coordinates.) However, if the \fB\-n\fR option is given then the -south-west corner of the square is returned instead (\f(CW\*(C`38n 444000 -3688000\*(C'\fR in the example above). -.SH "ZONE" -.IX Header "ZONE" -If the input is \fBgeographic\fR, \fBGeoConvert\fR uses the standard rules of -selecting \s-1UTM\s0 vs \s-1UPS\s0 and for assigning the \s-1UTM\s0 zone (with the Norway and -Svalbard exceptions). If the input is \fB\s-1UTM/UPS\s0\fR or \fB\s-1MGRS\s0\fR, then the -choice between \s-1UTM\s0 and \s-1UPS\s0 and the \s-1UTM\s0 zone mirrors the input. The \fB\-z\fR -\&\fIzone\fR, \fB\-s\fR, and \fB\-t\fR options allow these rules to be overridden -with \fIzone\fR = 0 being used to indicate \s-1UPS.\s0 For example, the point -.PP -.Vb 1 -\& 79.9S 6.1E -.Ve -.PP -corresponds to possible \s-1MGRS\s0 coordinates -.PP -.Vb 3 -\& 32CMS4324728161 (standard UTM zone = 32) -\& 31CEM6066227959 (neighboring UTM zone = 31) -\& BBZ1945517770 (neighboring UPS zone) -.Ve -.PP -then -.PP -.Vb 4 -\& echo 79.9S 6.1E | GeoConvert \-p \-3 \-m => 32CMS4328 -\& echo 31CEM6066227959 | GeoConvert \-p \-3 \-m => 31CEM6027 -\& echo 31CEM6066227959 | GeoConvert \-p \-3 \-m \-s => 32CMS4328 -\& echo 31CEM6066227959 | GeoConvert \-p \-3 \-m \-z 0 => BBZ1917 -.Ve -.PP -Is \fIzone\fR is specified with a hemisphere, then this is honored when -printing \s-1UTM\s0 coordinates: -.PP -.Vb 4 -\& echo \-1 3 | GeoConvert \-u => 31s 500000 9889470 -\& echo \-1 3 | GeoConvert \-u \-z 31 => 31s 500000 9889470 -\& echo \-1 3 | GeoConvert \-u \-z 31s => 31s 500000 9889470 -\& echo \-1 3 | GeoConvert \-u \-z 31n => 31n 500000 \-110530 -.Ve -.PP -\&\fB\s-1NOTE\s0\fR: the letter in the zone specification for \s-1UTM\s0 is a hemisphere -designator \fIn\fR or \fIs\fR and \fInot\fR an \s-1MGRS\s0 latitude band letter. -Convert the \s-1MGRS\s0 latitude band letter to a hemisphere as follows: -replace \fIC\fR thru \fIM\fR by \fIs\fR (or \fIsouth\fR); replace \fIN\fR thru \fIX\fR by -\&\fIn\fR (or \fInorth\fR). -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 4 -\& echo 38SMB4488 | GeoConvert => 33.33424 44.40363 -\& echo 38SMB4488 | GeoConvert \-: \-p 1 => 33:20:03.25N 044:2413.06E -\& echo 38SMB4488 | GeoConvert \-u => 38n 444500 3688500 -\& echo E44d24 N33d20 | GeoConvert \-m \-p \-3 => 38SMB4488 -.Ve -.PP -GeoConvert can be used to do simple arithmetic using degree, minutes, -and seconds. For example, sometimes data is tiled in 15 second squares -tagged by the \s-1DMS\s0 representation of the \s-1SW\s0 corner. The tags of the tile -at 38:59:45N 077:02:00W and its 8 neighbors are then given by -.PP -.Vb 10 -\& t=0:0:15 -\& for y in \-$t +0 +$t; do -\& for x in \-$t +0 +$t; do -\& echo 38:59:45N$y 077:02:00W$x -\& done -\& done | GeoConvert \-: \-p \-1 | tr \-d \*(Aq: \*(Aq -\& => -\& 385930N0770215W -\& 385930N0770200W -\& 385930N0770145W -\& 385945N0770215W -\& 385945N0770200W -\& 385945N0770145W -\& 390000N0770215W -\& 390000N0770200W -\& 390000N0770145W -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGeoConvert\fR to return an exit code -of 1. However, an error does not cause \fBGeoConvert\fR to terminate; -following lines will be converted. -.SH "ABBREVIATIONS" -.IX Header "ABBREVIATIONS" -.IP "\fB\s-1UTM\s0\fR" 4 -.IX Item "UTM" -Universal Transverse Mercator, -. -.IP "\fB\s-1UPS\s0\fR" 4 -.IX Item "UPS" -Universal Polar Stereographic, -. -.IP "\fB\s-1MGRS\s0\fR" 4 -.IX Item "MGRS" -Military Grid Reference System, -. -.IP "\fB\s-1WGS84\s0\fR" 4 -.IX Item "WGS84" -World Geodetic System 1984, -. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -An online version of this utility is availbable at -. -.PP -The algorithms for the transverse Mercator projection are described in -C. F. F. Karney, \fITransverse Mercator with an accuracy of a few -nanometers\fR, J. Geodesy \fB85\fR(8), 475\-485 (Aug. 2011); \s-1DOI\s0 -; preprint -. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGeoConvert\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGeoConvert\fR was added to GeographicLib, -, in 2009\-01. diff --git a/libs/GeographicLib-1.50.1/man/GeoConvert.1.html b/libs/GeographicLib-1.50.1/man/GeoConvert.1.html deleted file mode 100644 index 4a77c0e88322e98af29cd32bf919552ad3f50e23..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeoConvert.1.html +++ /dev/null @@ -1,379 +0,0 @@ - - - - -GeoConvert(1) - - - - - - - - -

NAME

- -

GeoConvert -- convert geographic coordinates

- -

SYNOPSIS

- -

GeoConvert [ -g | -d | -: | -u | -m | -c ] [ -z zone | -s | -t | -S | -T ] [ -n ] [ -w ] [ -p prec ] [ -l | -a ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

GeoConvert reads from standard input interpreting each line as a geographic coordinate and prints the coordinate in the format specified by the options on standard output. The input is interpreted in one of three different ways depending on how many space or comma delimited tokens there are on the line. The options -g, -d, -u, and -m govern the format of output. In all cases, the WGS84 model of the earth is used (a = 6378137 m, f = 1/298.257223563).

- - - -

OPTIONS

- -
- -
-g
-
- -

output latitude and longitude using decimal degrees. Default output mode.

- -
-
-d
-
- -

output latitude and longitude using degrees, minutes, and seconds (DMS).

- -
-
-:
-
- -

like -d, except use : as a separator instead of the d, ', and " delimiters.

- -
-
-u
-
- -

output UTM or UPS.

- -
-
-m
-
- -

output MGRS.

- -
-
-c
-
- -

output meridian convergence and scale for the corresponding UTM or UPS projection. The meridian convergence is the bearing of grid north given as degrees clockwise from true north.

- -
-
-z zone
-
- -

set the zone to zone for output. Use either 0 < zone <= 60 for a UTM zone or zone = 0 for UPS. Alternatively use a zone+hemisphere designation, e.g., 38n. See "ZONE".

- -
-
-s
-
- -

use the standard UPS and UTM zones.

- -
-
-t
-
- -

similar to -s but forces UPS regions to the closest UTM zone.

- -
-
-S or -T
-
- -

behave the same as -s and -t, respectively, until the first legal conversion is performed. For subsequent points, the zone and hemisphere of that conversion are used. This enables a sequence of points to be converted into UTM or UPS using a consistent coordinate system.

- -
-
-n
-
- -

on input, MGRS coordinates refer to the south-west corner of the MGRS square instead of the center; see "MGRS".

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 0); prec is the precision relative to 1 m. See "PRECISION".

- -
-
-l
-
- -

on output, UTM/UPS uses the long forms north and south to designate the hemisphere instead of n or s.

- -
-
-a
-
- -

on output, UTM/UPS uses the abbreviations n and s to designate the hemisphere instead of north or south; this is the default representation.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

PRECISION

- -

prec gives precision of the output with prec = 0 giving 1 m precision, prec = 3 giving 1 mm precision, etc. prec is the number of digits after the decimal point for UTM/UPS. For MGRS, The number of digits per coordinate is 5 + prec; prec = -6 results in just the grid zone. For decimal degrees, the number of digits after the decimal point is 5 + prec. For DMS (degree, minute, seconds) output, the number of digits after the decimal point in the seconds components is 1 + prec; if this is negative then use minutes (prec = -2 or -3) or degrees (prec <= -4) as the least significant component. Print convergence, resp. scale, with 5 + prec, resp. 7 + prec, digits after the decimal point. The minimum value of prec is -5 (-6 for MGRS) and the maximum is 9 for UTM/UPS, 9 for decimal degrees, 10 for DMS, 6 for MGRS, and 8 for convergence and scale.

- -

GEOGRAPHIC COORDINATES

- -

The utility accepts geographic coordinates, latitude and longitude, in a number of common formats. Latitude precedes longitude, unless the -w option is given which switches this convention. On input, either coordinate may be given first by appending or prepending N or S to the latitude and E or W to the longitude. These hemisphere designators carry an implied sign, positive for N and E and negative for S and W. This sign multiplies any +/- sign prefixing the coordinate. The coordinates may be given as decimal degree or as degrees, minutes, and seconds. d, ', and " are used to denote degrees, minutes, and seconds, with the least significant designator optional. (See "QUOTING" for how to quote the characters ' and " when entering coordinates on the command line.) Alternatively, : (colon) may be used to separate the various components. Only the final component of coordinate can include a decimal point, and the minutes and seconds components must be less than 60.

- -

It is also possible to carry out addition or subtraction operations in geographic coordinates. If the coordinate includes interior signs (i.e., not at the beginning or immediately after an initial hemisphere designator), then the coordinate is split before such signs; the pieces are parsed separately and the results summed. For example the point 15" east of 39N 70W is

- -
    39N 70W+0:0:15E
- -

WARNING: "Exponential" notation is not recognized for geographic coordinates. Thus 7.0E1 is illegal, while 7.0E+1 is parsed as (7.0E) + (+1), yielding the same result as 8.0E.

- -

Various unicode characters (encoded with UTF-8) may also be used to denote degrees, minutes, and seconds, e.g., the degree, prime, and double prime symbols; in addition two single quotes can be used to represent ".

- -

The other GeographicLib utilities use the same rules for interpreting geographic coordinates; in addition, azimuths and arc lengths are interpreted the same way.

- -

QUOTING

- -

Unfortunately the characters ' and " have special meanings in many shells and have to be entered with care. However note (1) that the trailing designator is optional and that (2) you can use colons as a separator character. Thus 10d20' can be entered as 10d20 or 10:20 and 10d20'30" can be entered as 10:20:30.

- -
- -
Unix shells (sh, bash, tsch)
-
- -

The characters ' and " can be quoted by preceding them with a \ (backslash); or you can quote a string containing ' with a pair of "s. The two alternatives are illustrated by

- -
   echo 10d20\'30\" "20d30'40" | GeoConvert -d -p -1
-   => 10d20'30"N 020d30'40"E
- -

Quoting of command line arguments is similar

- -
   GeoConvert -d -p -1 --input-string "10d20'30\" 20d30'40"
-   => 10d20'30"N 020d30'40"E
- -
-
Windows command shell (cmd)
-
- -

The ' character needs no quoting; the " character can either be quoted by a ^ or can be represented by typing ' twice. (This quoting is usually unnecessary because the trailing designator can be omitted.) Thus

- -
   echo 10d20'30'' 20d30'40 | GeoConvert -d -p -1
-   => 10d20'30"N 020d30'40"E
- -

Use \ to quote the " character in a command line argument

- -
   GeoConvert -d -p -1 --input-string "10d20'30\" 20d30'40"
-   => 10d20'30"N 020d30'40"E
- -
-
Input from a file
-
- -

No quoting need be done if the input from a file. Thus each line of the file input.txt should just contain the plain coordinates.

- -
  GeoConvert -d -p -1 < input.txt
- -
-
- -

MGRS

- -

MGRS coordinates represent a square patch of the earth, thus 38SMB4488 is in zone 38n with 444km <= easting < 445km and 3688km <= northing < 3689km. Consistent with this representation, coordinates are truncated (instead of rounded) to the requested precision. When an MGRS coordinate is provided as input, GeoConvert treats this as a representative point within the square. By default, this representative point is the center of the square (38n 444500 3688500 in the example above). (This leads to a stable conversion between MGRS and geographic coordinates.) However, if the -n option is given then the south-west corner of the square is returned instead (38n 444000 3688000 in the example above).

- -

ZONE

- -

If the input is geographic, GeoConvert uses the standard rules of selecting UTM vs UPS and for assigning the UTM zone (with the Norway and Svalbard exceptions). If the input is UTM/UPS or MGRS, then the choice between UTM and UPS and the UTM zone mirrors the input. The -z zone, -s, and -t options allow these rules to be overridden with zone = 0 being used to indicate UPS. For example, the point

- -
   79.9S 6.1E
- -

corresponds to possible MGRS coordinates

- -
   32CMS4324728161 (standard UTM zone = 32)
-   31CEM6066227959 (neighboring UTM zone = 31)
-     BBZ1945517770 (neighboring UPS zone)
- -

then

- -
   echo 79.9S 6.1E      | GeoConvert -p -3 -m       => 32CMS4328
-   echo 31CEM6066227959 | GeoConvert -p -3 -m       => 31CEM6027
-   echo 31CEM6066227959 | GeoConvert -p -3 -m -s    => 32CMS4328
-   echo 31CEM6066227959 | GeoConvert -p -3 -m -z 0  =>   BBZ1917
- -

Is zone is specified with a hemisphere, then this is honored when printing UTM coordinates:

- -
   echo -1 3 | GeoConvert -u         => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31   => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31s  => 31s 500000 9889470
-   echo -1 3 | GeoConvert -u -z 31n  => 31n 500000 -110530
- -

NOTE: the letter in the zone specification for UTM is a hemisphere designator n or s and not an MGRS latitude band letter. Convert the MGRS latitude band letter to a hemisphere as follows: replace C thru M by s (or south); replace N thru X by n (or north).

- -

EXAMPLES

- -
   echo 38SMB4488 | GeoConvert         => 33.33424 44.40363
-   echo 38SMB4488 | GeoConvert -: -p 1 => 33:20:03.25N 044:2413.06E
-   echo 38SMB4488 | GeoConvert -u      => 38n 444500 3688500
-   echo E44d24 N33d20 | GeoConvert -m -p -3 => 38SMB4488
- -

GeoConvert can be used to do simple arithmetic using degree, minutes, and seconds. For example, sometimes data is tiled in 15 second squares tagged by the DMS representation of the SW corner. The tags of the tile at 38:59:45N 077:02:00W and its 8 neighbors are then given by

- -
    t=0:0:15
-    for y in -$t +0 +$t; do
-        for x in -$t +0 +$t; do
-            echo 38:59:45N$y 077:02:00W$x
-        done
-    done | GeoConvert -: -p -1 | tr -d ': '
-    =>
-    385930N0770215W
-    385930N0770200W
-    385930N0770145W
-    385945N0770215W
-    385945N0770200W
-    385945N0770145W
-    390000N0770215W
-    390000N0770200W
-    390000N0770145W
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeoConvert to return an exit code of 1. However, an error does not cause GeoConvert to terminate; following lines will be converted.

- -

ABBREVIATIONS

- -
- -
UTM
-
- -

Universal Transverse Mercator, https://en.wikipedia.org/wiki/Universal_Transverse_Mercator_coordinate_system.

- -
-
UPS
-
- -

Universal Polar Stereographic, https://en.wikipedia.org/wiki/Universal_Polar_Stereographic.

- -
-
MGRS
-
- -

Military Grid Reference System, https://en.wikipedia.org/wiki/Military_grid_reference_system.

- -
-
WGS84
-
- -

World Geodetic System 1984, https://en.wikipedia.org/wiki/WGS84.

- -
-
- -

SEE ALSO

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeoConvert.

- -

The algorithms for the transverse Mercator projection are described in C. F. F. Karney, Transverse Mercator with an accuracy of a few nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI https://doi.org/10.1007/s00190-011-0445-3; preprint https://arxiv.org/abs/1002.1417.

- -

AUTHOR

- -

GeoConvert was written by Charles Karney.

- -

HISTORY

- -

GeoConvert was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-01.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/man/GeoConvert.pod b/libs/GeographicLib-1.50.1/man/GeoConvert.pod deleted file mode 100644 index 049f92c969dad9a0f3f367c7bf21b5cbd82aa154..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeoConvert.pod +++ /dev/null @@ -1,424 +0,0 @@ -=head1 NAME - -GeoConvert -- convert geographic coordinates - -=head1 SYNOPSIS - -B [ B<-g> | B<-d> | B<-:> | B<-u> | B<-m> | B<-c> ] -[ B<-z> I | B<-s> | B<-t> | B<-S> | B<-T> ] -[ B<-n> ] [ B<-w> ] [ B<-p> I ] [ B<-l> | B<-a> ] -[ B<--comment-delimiter> I ] -[ B<--version> | B<-h> | B<--help> ] -[ B<--input-file> I | B<--input-string> I ] -[ B<--line-separator> I ] -[ B<--output-file> I ] - -=head1 DESCRIPTION - -B reads from standard input interpreting each line as a -geographic coordinate and prints the coordinate in the format specified -by the options on standard output. The input is interpreted in one of -three different ways depending on how many space or comma delimited -tokens there are on the line. The options B<-g>, B<-d>, B<-u>, and B<-m> -govern the format of output. In all cases, the WGS84 model of the earth -is used (I = 6378137 m, I = 1/298.257223563). - -=over - -=item B - -2 tokens (output options B<-g>, B<-d>, or B<-:>) given as I -I using decimal degrees or degrees, minutes, and seconds. -Latitude is given first (unless the B<-w> option is given). See -L for a description of the format. For -example, the following are all equivalent - - 33.3 44.4 - E44.4 N33.3 - 33d18'N 44d24'E - 44d24 33d18N - 33:18 +44:24 - -=item B - -3 tokens (output option B<-u>) given as I+I I -I or I I I+I, where -I is either I (or I) or I (or I). The -I is absent for a UPS specification. For example, - - 38n 444140.54 3684706.36 - 444140.54 3684706.36 38n - s 2173854.98 2985980.58 - 2173854.98 2985980.58 s - -=item B - -1 token (output option B<-m>) is used to specify the center of an MGRS -grid square. For example, - - 38SMB4484 - 38SMB44140847064 - -=back - -=head1 OPTIONS - -=over - -=item B<-g> - -output latitude and longitude using decimal degrees. Default output mode. - -=item B<-d> - -output latitude and longitude using degrees, minutes, and seconds (DMS). - -=item B<-:> - -like B<-d>, except use : as a separator instead of the d, ', and " -delimiters. - -=item B<-u> - -output UTM or UPS. - -=item B<-m> - -output MGRS. - -=item B<-c> - -output meridian convergence and scale for the corresponding UTM or UPS -projection. The meridian convergence is the bearing of grid north given -as degrees clockwise from true north. - -=item B<-z> I - -set the zone to I for output. Use either 0 E I E= -60 for a UTM zone or I = 0 for UPS. Alternatively use a -I+I designation, e.g., 38n. See L. - -=item B<-s> - -use the standard UPS and UTM zones. - -=item B<-t> - -similar to B<-s> but forces UPS regions to the closest UTM zone. - -=item B<-S> or B<-T> - -behave the same as B<-s> and B<-t>, respectively, until the first legal -conversion is performed. For subsequent points, the zone and hemisphere -of that conversion are used. This enables a sequence of points to be -converted into UTM or UPS using a consistent coordinate system. - -=item B<-n> - -on input, MGRS coordinates refer to the south-west corner of the MGRS -square instead of the center; see L. - -=item B<-w> - -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, I, I, I, -I). - -=item B<-p> I - -set the output precision to I (default 0); I is the -precision relative to 1 m. See L. - -=item B<-l> - -on output, UTM/UPS uses the long forms I and I to -designate the hemisphere instead of I or I. - -=item B<-a> - -on output, UTM/UPS uses the abbreviations I and I to designate the -hemisphere instead of I or I; this is the default -representation. - -=item B<--comment-delimiter> I - -set the comment delimiter to I (e.g., "#" or "//"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). - -=item B<--version> - -print version and exit. - -=item B<-h> - -print usage and exit. - -=item B<--help> - -print full documentation and exit. - -=item B<--input-file> I - -read input from the file I instead of from standard input; a file -name of "-" stands for standard input. - -=item B<--input-string> I - -read input from the string I instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in I are converted to newlines before the reading begins. - -=item B<--line-separator> I - -set the line separator character to I. By default this is a -semicolon. - -=item B<--output-file> I - -write output to the file I instead of to standard output; a -file name of "-" stands for standard output. - -=back - -=head1 PRECISION - -I gives precision of the output with I = 0 giving 1 m -precision, I = 3 giving 1 mm precision, etc. I is the -number of digits after the decimal point for UTM/UPS. For MGRS, The -number of digits per coordinate is 5 + I; I = -6 results in -just the grid zone. For decimal degrees, the number of digits after the -decimal point is 5 + I. For DMS (degree, minute, seconds) output, -the number of digits after the decimal point in the seconds components -is 1 + I; if this is negative then use minutes (I = -2 or --3) or degrees (I E= -4) as the least significant component. -Print convergence, resp. scale, with 5 + I, resp. 7 + I, -digits after the decimal point. The minimum value of I is -5 (-6 -for MGRS) and the maximum is 9 for UTM/UPS, 9 for decimal degrees, 10 -for DMS, 6 for MGRS, and 8 for convergence and scale. - -=head1 GEOGRAPHIC COORDINATES - -The utility accepts geographic coordinates, latitude and longitude, in a -number of common formats. Latitude precedes longitude, unless the B<-w> -option is given which switches this convention. On input, either -coordinate may be given first by appending or prepending I or I to -the latitude and I or I to the longitude. These hemisphere -designators carry an implied sign, positive for I and I and -negative for I and I. This sign multiplies any +/- sign prefixing -the coordinate. The coordinates may be given as decimal degree or as -degrees, minutes, and seconds. d, ', and " are used to denote degrees, -minutes, and seconds, with the least significant designator optional. -(See L for how to quote the characters ' and " when entering -coordinates on the command line.) Alternatively, : (colon) may be used -to separate the various components. Only the final component of -coordinate can include a decimal point, and the minutes and seconds -components must be less than 60. - -It is also possible to carry out addition or subtraction operations in -geographic coordinates. If the coordinate includes interior signs -(i.e., not at the beginning or immediately after an initial hemisphere -designator), then the coordinate is split before such signs; the pieces -are parsed separately and the results summed. For example the point 15" -east of 39N 70W is - - 39N 70W+0:0:15E - -B "Exponential" notation is not recognized for geographic -coordinates. Thus 7.0E1 is illegal, while 7.0E+1 is parsed -as (7.0E) + (+1), yielding the same result as 8.0E. - -Various unicode characters (encoded with UTF-8) may also be used to -denote degrees, minutes, and seconds, e.g., the degree, prime, and -double prime symbols; in addition two single quotes can be used to -represent ". - -The other GeographicLib utilities use the same rules for interpreting -geographic coordinates; in addition, azimuths and arc lengths are -interpreted the same way. - -=head1 QUOTING - -Unfortunately the characters ' and " have special meanings in many -shells and have to be entered with care. However note (1) that the -trailing designator is optional and that (2) you can use colons as a -separator character. Thus 10d20' can be entered as 10d20 or 10:20 and -10d20'30" can be entered as 10:20:30. - -=over - -=item Unix shells (sh, bash, tsch) - -The characters ' and " can be quoted by preceding them with a \ -(backslash); or you can quote a string containing ' with a pair of "s. -The two alternatives are illustrated by - - echo 10d20\'30\" "20d30'40" | GeoConvert -d -p -1 - => 10d20'30"N 020d30'40"E - -Quoting of command line arguments is similar - - GeoConvert -d -p -1 --input-string "10d20'30\" 20d30'40" - => 10d20'30"N 020d30'40"E - -=item Windows command shell (cmd) - -The ' character needs no quoting; the " character can either be quoted -by a ^ or can be represented by typing ' twice. (This quoting is -usually unnecessary because the trailing designator can be omitted.) -Thus - - echo 10d20'30'' 20d30'40 | GeoConvert -d -p -1 - => 10d20'30"N 020d30'40"E - -Use \ to quote the " character in a command line argument - - GeoConvert -d -p -1 --input-string "10d20'30\" 20d30'40" - => 10d20'30"N 020d30'40"E - -=item Input from a file - -No quoting need be done if the input from a file. Thus each line of the -file C should just contain the plain coordinates. - - GeoConvert -d -p -1 < input.txt - -=back - -=head1 MGRS - -MGRS coordinates represent a square patch of the earth, thus -C<38SMB4488> is in zone C<38n> with 444km E= I E -445km and 3688km E= I E 3689km. Consistent with -this representation, coordinates are I (instead of -I) to the requested precision. When an MGRS coordinate is -provided as input, B treats this as a representative point -within the square. By default, this representative point is the -I
of the square (C<38n 444500 3688500> in the example above). -(This leads to a stable conversion between MGRS and geographic -coordinates.) However, if the B<-n> option is given then the -south-west corner of the square is returned instead (C<38n 444000 -3688000> in the example above). - -=head1 ZONE - -If the input is B, B uses the standard rules of -selecting UTM vs UPS and for assigning the UTM zone (with the Norway and -Svalbard exceptions). If the input is B or B, then the -choice between UTM and UPS and the UTM zone mirrors the input. The B<-z> -I, B<-s>, and B<-t> options allow these rules to be overridden -with I = 0 being used to indicate UPS. For example, the point - - 79.9S 6.1E - -corresponds to possible MGRS coordinates - - 32CMS4324728161 (standard UTM zone = 32) - 31CEM6066227959 (neighboring UTM zone = 31) - BBZ1945517770 (neighboring UPS zone) - -then - - echo 79.9S 6.1E | GeoConvert -p -3 -m => 32CMS4328 - echo 31CEM6066227959 | GeoConvert -p -3 -m => 31CEM6027 - echo 31CEM6066227959 | GeoConvert -p -3 -m -s => 32CMS4328 - echo 31CEM6066227959 | GeoConvert -p -3 -m -z 0 => BBZ1917 - -Is I is specified with a hemisphere, then this is honored when -printing UTM coordinates: - - echo -1 3 | GeoConvert -u => 31s 500000 9889470 - echo -1 3 | GeoConvert -u -z 31 => 31s 500000 9889470 - echo -1 3 | GeoConvert -u -z 31s => 31s 500000 9889470 - echo -1 3 | GeoConvert -u -z 31n => 31n 500000 -110530 - -B: the letter in the zone specification for UTM is a hemisphere -designator I or I and I an MGRS latitude band letter. -Convert the MGRS latitude band letter to a hemisphere as follows: -replace I thru I by I (or I); replace I thru I by -I (or I). - -=head1 EXAMPLES - - echo 38SMB4488 | GeoConvert => 33.33424 44.40363 - echo 38SMB4488 | GeoConvert -: -p 1 => 33:20:03.25N 044:2413.06E - echo 38SMB4488 | GeoConvert -u => 38n 444500 3688500 - echo E44d24 N33d20 | GeoConvert -m -p -3 => 38SMB4488 - -GeoConvert can be used to do simple arithmetic using degree, minutes, -and seconds. For example, sometimes data is tiled in 15 second squares -tagged by the DMS representation of the SW corner. The tags of the tile -at 38:59:45N 077:02:00W and its 8 neighbors are then given by - - t=0:0:15 - for y in -$t +0 +$t; do - for x in -$t +0 +$t; do - echo 38:59:45N$y 077:02:00W$x - done - done | GeoConvert -: -p -1 | tr -d ': ' - => - 385930N0770215W - 385930N0770200W - 385930N0770145W - 385945N0770215W - 385945N0770200W - 385945N0770145W - 390000N0770215W - 390000N0770200W - 390000N0770145W - -=head1 ERRORS - -An illegal line of input will print an error message to standard output -beginning with C and causes B to return an exit code -of 1. However, an error does not cause B to terminate; -following lines will be converted. - -=head1 ABBREVIATIONS - -=over - -=item B - -Universal Transverse Mercator, -L. - -=item B - -Universal Polar Stereographic, -L. - -=item B - -Military Grid Reference System, -L. - -=item B - -World Geodetic System 1984, -L. - -=back - -=head1 SEE ALSO - -An online version of this utility is availbable at -L. - -The algorithms for the transverse Mercator projection are described in -C. F. F. Karney, I, J. Geodesy B<85>(8), 475-485 (Aug. 2011); DOI -L; preprint -L. - -=head1 AUTHOR - -B was written by Charles Karney. - -=head1 HISTORY - -B was added to GeographicLib, -L, in 2009-01. diff --git a/libs/GeographicLib-1.50.1/man/GeoConvert.usage b/libs/GeographicLib-1.50.1/man/GeoConvert.usage deleted file mode 100644 index 18ed42af6f928a6951026589ba413de3160af6c4..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeoConvert.usage +++ /dev/null @@ -1,361 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" GeoConvert [ -g | -d | -: | -u | -m | -c ] [ -z zone | -s | -t | -S |\n" -" -T ] [ -n ] [ -w ] [ -p prec ] [ -l | -a ] [ --comment-delimiter\n" -" commentdelim ] [ --version | -h | --help ] [ --input-file infile |\n" -" --input-string instring ] [ --line-separator linesep ] [ --output-file\n" -" outfile ]\n" -"\n" -"For full documentation type:\n" -" GeoConvert --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/GeoConvert.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" GeoConvert -- convert geographic coordinates\n" -"\n" -"SYNOPSIS\n" -" GeoConvert [ -g | -d | -: | -u | -m | -c ] [ -z zone | -s | -t | -S |\n" -" -T ] [ -n ] [ -w ] [ -p prec ] [ -l | -a ] [ --comment-delimiter\n" -" commentdelim ] [ --version | -h | --help ] [ --input-file infile |\n" -" --input-string instring ] [ --line-separator linesep ] [ --output-file\n" -" outfile ]\n" -"\n" -"DESCRIPTION\n" -" GeoConvert reads from standard input interpreting each line as a\n" -" geographic coordinate and prints the coordinate in the format specified\n" -" by the options on standard output. The input is interpreted in one of\n" -" three different ways depending on how many space or comma delimited\n" -" tokens there are on the line. The options -g, -d, -u, and -m govern\n" -" the format of output. In all cases, the WGS84 model of the earth is\n" -" used (a = 6378137 m, f = 1/298.257223563).\n" -"\n" -" geographic\n" -" 2 tokens (output options -g, -d, or -:) given as latitude longitude\n" -" using decimal degrees or degrees, minutes, and seconds. Latitude\n" -" is given first (unless the -w option is given). See \"GEOGRAPHIC\n" -" COORDINATES\" for a description of the format. For example, the\n" -" following are all equivalent\n" -"\n" -" 33.3 44.4\n" -" E44.4 N33.3\n" -" 33d18'N 44d24'E\n" -" 44d24 33d18N\n" -" 33:18 +44:24\n" -"\n" -" UTM/UPS\n" -" 3 tokens (output option -u) given as zone+hemisphere easting\n" -" northing or easting northing zone+hemisphere, where hemisphere is\n" -" either n (or north) or s (or south). The zone is absent for a UPS\n" -" specification. For example,\n" -"\n" -" 38n 444140.54 3684706.36\n" -" 444140.54 3684706.36 38n\n" -" s 2173854.98 2985980.58\n" -" 2173854.98 2985980.58 s\n" -"\n" -" MRGS\n" -" 1 token (output option -m) is used to specify the center of an MGRS\n" -" grid square. For example,\n" -"\n" -" 38SMB4484\n" -" 38SMB44140847064\n" -"\n" -"OPTIONS\n" -" -g output latitude and longitude using decimal degrees. Default\n" -" output mode.\n" -"\n" -" -d output latitude and longitude using degrees, minutes, and seconds\n" -" (DMS).\n" -"\n" -" -: like -d, except use : as a separator instead of the d, ', and \"\n" -" delimiters.\n" -"\n" -" -u output UTM or UPS.\n" -"\n" -" -m output MGRS.\n" -"\n" -" -c output meridian convergence and scale for the corresponding UTM or\n" -" UPS projection. The meridian convergence is the bearing of grid\n" -" north given as degrees clockwise from true north.\n" -"\n" -" -z zone\n" -" set the zone to zone for output. Use either 0 < zone <= 60 for a\n" -" UTM zone or zone = 0 for UPS. Alternatively use a zone+hemisphere\n" -" designation, e.g., 38n. See \"ZONE\".\n" -"\n" -" -s use the standard UPS and UTM zones.\n" -"\n" -" -t similar to -s but forces UPS regions to the closest UTM zone.\n" -"\n" -" -S or -T\n" -" behave the same as -s and -t, respectively, until the first legal\n" -" conversion is performed. For subsequent points, the zone and\n" -" hemisphere of that conversion are used. This enables a sequence of\n" -" points to be converted into UTM or UPS using a consistent\n" -" coordinate system.\n" -"\n" -" -n on input, MGRS coordinates refer to the south-west corner of the\n" -" MGRS square instead of the center; see \"MGRS\".\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 0); prec is the precision\n" -" relative to 1 m. See \"PRECISION\".\n" -"\n" -" -l on output, UTM/UPS uses the long forms north and south to designate\n" -" the hemisphere instead of n or s.\n" -"\n" -" -a on output, UTM/UPS uses the abbreviations n and s to designate the\n" -" hemisphere instead of north or south; this is the default\n" -" representation.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"PRECISION\n" -" prec gives precision of the output with prec = 0 giving 1 m precision,\n" -" prec = 3 giving 1 mm precision, etc. prec is the number of digits\n" -" after the decimal point for UTM/UPS. For MGRS, The number of digits\n" -" per coordinate is 5 + prec; prec = -6 results in just the grid zone.\n" -" For decimal degrees, the number of digits after the decimal point is 5\n" -" + prec. For DMS (degree, minute, seconds) output, the number of digits\n" -" after the decimal point in the seconds components is 1 + prec; if this\n" -" is negative then use minutes (prec = -2 or -3) or degrees (prec <= -4)\n" -" as the least significant component. Print convergence, resp. scale,\n" -" with 5 + prec, resp. 7 + prec, digits after the decimal point. The\n" -" minimum value of prec is -5 (-6 for MGRS) and the maximum is 9 for\n" -" UTM/UPS, 9 for decimal degrees, 10 for DMS, 6 for MGRS, and 8 for\n" -" convergence and scale.\n" -"\n" -"GEOGRAPHIC COORDINATES\n" -" The utility accepts geographic coordinates, latitude and longitude, in\n" -" a number of common formats. Latitude precedes longitude, unless the -w\n" -" option is given which switches this convention. On input, either\n" -" coordinate may be given first by appending or prepending N or S to the\n" -" latitude and E or W to the longitude. These hemisphere designators\n" -" carry an implied sign, positive for N and E and negative for S and W.\n" -" This sign multiplies any +/- sign prefixing the coordinate. The\n" -" coordinates may be given as decimal degree or as degrees, minutes, and\n" -" seconds. d, ', and \" are used to denote degrees, minutes, and seconds,\n" -" with the least significant designator optional. (See \"QUOTING\" for how\n" -" to quote the characters ' and \" when entering coordinates on the\n" -" command line.) Alternatively, : (colon) may be used to separate the\n" -" various components. Only the final component of coordinate can include\n" -" a decimal point, and the minutes and seconds components must be less\n" -" than 60.\n" -"\n" -" It is also possible to carry out addition or subtraction operations in\n" -" geographic coordinates. If the coordinate includes interior signs\n" -" (i.e., not at the beginning or immediately after an initial hemisphere\n" -" designator), then the coordinate is split before such signs; the pieces\n" -" are parsed separately and the results summed. For example the point\n" -" 15\" east of 39N 70W is\n" -"\n" -" 39N 70W+0:0:15E\n" -"\n" -" WARNING: \"Exponential\" notation is not recognized for geographic\n" -" coordinates. Thus 7.0E1 is illegal, while 7.0E+1 is parsed as (7.0E) +\n" -" (+1), yielding the same result as 8.0E.\n" -"\n" -" Various unicode characters (encoded with UTF-8) may also be used to\n" -" denote degrees, minutes, and seconds, e.g., the degree, prime, and\n" -" double prime symbols; in addition two single quotes can be used to\n" -" represent \".\n" -"\n" -" The other GeographicLib utilities use the same rules for interpreting\n" -" geographic coordinates; in addition, azimuths and arc lengths are\n" -" interpreted the same way.\n" -"\n" -"QUOTING\n" -" Unfortunately the characters ' and \" have special meanings in many\n" -" shells and have to be entered with care. However note (1) that the\n" -" trailing designator is optional and that (2) you can use colons as a\n" -" separator character. Thus 10d20' can be entered as 10d20 or 10:20 and\n" -" 10d20'30\" can be entered as 10:20:30.\n" -"\n" -" Unix shells (sh, bash, tsch)\n" -" The characters ' and \" can be quoted by preceding them with a \\\n" -" (backslash); or you can quote a string containing ' with a pair of\n" -" \"s. The two alternatives are illustrated by\n" -"\n" -" echo 10d20\\'30\\\" \"20d30'40\" | GeoConvert -d -p -1\n" -" => 10d20'30\"N 020d30'40\"E\n" -"\n" -" Quoting of command line arguments is similar\n" -"\n" -" GeoConvert -d -p -1 --input-string \"10d20'30\\\" 20d30'40\"\n" -" => 10d20'30\"N 020d30'40\"E\n" -"\n" -" Windows command shell (cmd)\n" -" The ' character needs no quoting; the \" character can either be\n" -" quoted by a ^ or can be represented by typing ' twice. (This\n" -" quoting is usually unnecessary because the trailing designator can\n" -" be omitted.) Thus\n" -"\n" -" echo 10d20'30'' 20d30'40 | GeoConvert -d -p -1\n" -" => 10d20'30\"N 020d30'40\"E\n" -"\n" -" Use \\ to quote the \" character in a command line argument\n" -"\n" -" GeoConvert -d -p -1 --input-string \"10d20'30\\\" 20d30'40\"\n" -" => 10d20'30\"N 020d30'40\"E\n" -"\n" -" Input from a file\n" -" No quoting need be done if the input from a file. Thus each line\n" -" of the file \"input.txt\" should just contain the plain coordinates.\n" -"\n" -" GeoConvert -d -p -1 < input.txt\n" -"\n" -"MGRS\n" -" MGRS coordinates represent a square patch of the earth, thus\n" -" \"38SMB4488\" is in zone \"38n\" with 444km <= easting < 445km and 3688km\n" -" <= northing < 3689km. Consistent with this representation, coordinates\n" -" are truncated (instead of rounded) to the requested precision. When an\n" -" MGRS coordinate is provided as input, GeoConvert treats this as a\n" -" representative point within the square. By default, this\n" -" representative point is the center of the square (\"38n 444500 3688500\"\n" -" in the example above). (This leads to a stable conversion between MGRS\n" -" and geographic coordinates.) However, if the -n option is given then\n" -" the south-west corner of the square is returned instead (\"38n 444000\n" -" 3688000\" in the example above).\n" -"\n" -"ZONE\n" -" If the input is geographic, GeoConvert uses the standard rules of\n" -" selecting UTM vs UPS and for assigning the UTM zone (with the Norway\n" -" and Svalbard exceptions). If the input is UTM/UPS or MGRS, then the\n" -" choice between UTM and UPS and the UTM zone mirrors the input. The -z\n" -" zone, -s, and -t options allow these rules to be overridden with zone =\n" -" 0 being used to indicate UPS. For example, the point\n" -"\n" -" 79.9S 6.1E\n" -"\n" -" corresponds to possible MGRS coordinates\n" -"\n" -" 32CMS4324728161 (standard UTM zone = 32)\n" -" 31CEM6066227959 (neighboring UTM zone = 31)\n" -" BBZ1945517770 (neighboring UPS zone)\n" -"\n" -" then\n" -"\n" -" echo 79.9S 6.1E | GeoConvert -p -3 -m => 32CMS4328\n" -" echo 31CEM6066227959 | GeoConvert -p -3 -m => 31CEM6027\n" -" echo 31CEM6066227959 | GeoConvert -p -3 -m -s => 32CMS4328\n" -" echo 31CEM6066227959 | GeoConvert -p -3 -m -z 0 => BBZ1917\n" -"\n" -" Is zone is specified with a hemisphere, then this is honored when\n" -" printing UTM coordinates:\n" -"\n" -" echo -1 3 | GeoConvert -u => 31s 500000 9889470\n" -" echo -1 3 | GeoConvert -u -z 31 => 31s 500000 9889470\n" -" echo -1 3 | GeoConvert -u -z 31s => 31s 500000 9889470\n" -" echo -1 3 | GeoConvert -u -z 31n => 31n 500000 -110530\n" -"\n" -" NOTE: the letter in the zone specification for UTM is a hemisphere\n" -" designator n or s and not an MGRS latitude band letter. Convert the\n" -" MGRS latitude band letter to a hemisphere as follows: replace C thru M\n" -" by s (or south); replace N thru X by n (or north).\n" -"\n" -"EXAMPLES\n" -" echo 38SMB4488 | GeoConvert => 33.33424 44.40363\n" -" echo 38SMB4488 | GeoConvert -: -p 1 => 33:20:03.25N 044:2413.06E\n" -" echo 38SMB4488 | GeoConvert -u => 38n 444500 3688500\n" -" echo E44d24 N33d20 | GeoConvert -m -p -3 => 38SMB4488\n" -"\n" -" GeoConvert can be used to do simple arithmetic using degree, minutes,\n" -" and seconds. For example, sometimes data is tiled in 15 second squares\n" -" tagged by the DMS representation of the SW corner. The tags of the\n" -" tile at 38:59:45N 077:02:00W and its 8 neighbors are then given by\n" -"\n" -" t=0:0:15\n" -" for y in -$t +0 +$t; do\n" -" for x in -$t +0 +$t; do\n" -" echo 38:59:45N$y 077:02:00W$x\n" -" done\n" -" done | GeoConvert -: -p -1 | tr -d ': '\n" -" =>\n" -" 385930N0770215W\n" -" 385930N0770200W\n" -" 385930N0770145W\n" -" 385945N0770215W\n" -" 385945N0770200W\n" -" 385945N0770145W\n" -" 390000N0770215W\n" -" 390000N0770200W\n" -" 390000N0770145W\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes GeoConvert to return an exit code of\n" -" 1. However, an error does not cause GeoConvert to terminate; following\n" -" lines will be converted.\n" -"\n" -"ABBREVIATIONS\n" -" UTM Universal Transverse Mercator,\n" -" .\n" -"\n" -" UPS Universal Polar Stereographic,\n" -" .\n" -"\n" -" MGRS\n" -" Military Grid Reference System,\n" -" .\n" -"\n" -" WGS84\n" -" World Geodetic System 1984, .\n" -"\n" -"SEE ALSO\n" -" An online version of this utility is availbable at\n" -" .\n" -"\n" -" The algorithms for the transverse Mercator projection are described in\n" -" C. F. F. Karney, Transverse Mercator with an accuracy of a few\n" -" nanometers, J. Geodesy 85(8), 475-485 (Aug. 2011); DOI\n" -" ; preprint\n" -" .\n" -"\n" -"AUTHOR\n" -" GeoConvert was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" GeoConvert was added to GeographicLib,\n" -" , in 2009-01.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/man/GeodSolve.1 b/libs/GeographicLib-1.50.1/man/GeodSolve.1 deleted file mode 100644 index 76a779c8defd1d8025f758ad9d0a702e9f5d34eb..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeodSolve.1 +++ /dev/null @@ -1,490 +0,0 @@ -.\" Automatically generated by Pod::Man 4.12 (Pod::Simple 3.39) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -GeodSolve \-\- perform geodesic calculations -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGeodSolve\fR -[ \fB\-i\fR | \fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR | -\&\fB\-D\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR \fIs13\fR | \fB\-I\fR \fIlat1\fR \fIlon1\fR \fIlat3\fR \fIlon3\fR ] -[ \fB\-a\fR ] [ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-u\fR ] [ \fB\-F\fR ] -[ \fB\-d\fR | \fB\-:\fR ] [ \fB\-w\fR ] [ \fB\-b\fR ] [ \fB\-f\fR ] [ \fB\-p\fR \fIprec\fR ] [ \fB\-E\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -The shortest path between two points on the ellipsoid at (\fIlat1\fR, -\&\fIlon1\fR) and (\fIlat2\fR, \fIlon2\fR) is called the geodesic. Its length is -\&\fIs12\fR and the geodesic from point 1 to point 2 has forward azimuths -\&\fIazi1\fR and \fIazi2\fR at the two end points. -.PP -\&\fBGeodSolve\fR operates in one of three modes: -.IP "1." 4 -By default, \fBGeodSolve\fR accepts lines on the standard input containing -\&\fIlat1\fR \fIlon1\fR \fIazi1\fR \fIs12\fR and prints \fIlat2\fR \fIlon2\fR \fIazi2\fR -on standard output. This is the direct geodesic calculation. -.IP "2." 4 -With the \fB\-i\fR command line argument, \fBGeodSolve\fR performs the inverse -geodesic calculation. It reads lines containing \fIlat1\fR \fIlon1\fR \fIlat2\fR -\&\fIlon2\fR and prints the corresponding values of \fIazi1\fR \fIazi2\fR \fIs12\fR. -.IP "3." 4 -Command line arguments \fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR specify a geodesic -line. \fBGeodSolve\fR then accepts a sequence of \fIs12\fR values (one per -line) on standard input and prints \fIlat2\fR \fIlon2\fR \fIazi2\fR for each. -This generates a sequence of points on a single geodesic. Command line -arguments \fB\-D\fR and \fB\-I\fR work similarly with the geodesic line defined -in terms of a direct or inverse geodesic calculation, respectively. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-i\fR" 4 -.IX Item "-i" -perform an inverse geodesic calculation (see 2 above). -.IP "\fB\-L\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR" 4 -.IX Item "-L lat1 lon1 azi1" -line mode (see 3 above); generate a sequence of points along the -geodesic specified by \fIlat1\fR \fIlon1\fR \fIazi1\fR. The \fB\-w\fR flag can be -used to swap the default order of the 2 geographic coordinates, provided -that it appears before \fB\-L\fR. (\fB\-l\fR is an alternative, deprecated, -spelling of this flag.) -.IP "\fB\-D\fR \fIlat1\fR \fIlon1\fR \fIazi1\fR \fIs13\fR" 4 -.IX Item "-D lat1 lon1 azi1 s13" -line mode (see 3 above); generate a sequence of points along the -geodesic specified by \fIlat1\fR \fIlon1\fR \fIazi1\fR \fIs13\fR. The \fB\-w\fR flag -can be used to swap the default order of the 2 geographic coordinates, -provided that it appears before \fB\-D\fR. Similarly, the \fB\-a\fR flag can be -used to change the interpretation of \fIs13\fR to \fIa13\fR, provided that it -appears before \fB\-D\fR. -.IP "\fB\-I\fR \fIlat1\fR \fIlon1\fR \fIlat3\fR \fIlon3\fR" 4 -.IX Item "-I lat1 lon1 lat3 lon3" -line mode (see 3 above); generate a sequence of points along the -geodesic specified by \fIlat1\fR \fIlon1\fR \fIlat3\fR \fIlon3\fR. The \fB\-w\fR flag -can be used to swap the default order of the 2 geographic coordinates, -provided that it appears before \fB\-I\fR. -.IP "\fB\-a\fR" 4 -.IX Item "-a" -toggle the arc mode flag (it starts off); if this flag is on, then on -input \fIand\fR output \fIs12\fR is replaced by \fIa12\fR the arc length (in -degrees) on the auxiliary sphere. See \*(L"\s-1AUXILIARY SPHERE\*(R"\s0. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-u\fR" 4 -.IX Item "-u" -unroll the longitude. Normally, on output longitudes are reduced to lie -in [\-180deg,180deg). However with this option, the returned longitude -\&\fIlon2\fR is \*(L"unrolled\*(R" so that \fIlon2\fR \- \fIlon1\fR indicates how often and -in what sense the geodesic has encircled the earth. Use the \fB\-f\fR -option, to get both longitudes printed. -.IP "\fB\-F\fR" 4 -.IX Item "-F" -fractional mode. This only has any effect with the \fB\-D\fR and \fB\-I\fR -options (and is otherwise ignored). The values read on standard input -are interpreted as fractional distances to point 3, i.e., as -\&\fIs12\fR/\fIs13\fR instead of \fIs12\fR. If arc mode is in effect, then the -values denote fractional arc length, i.e., \fIa12\fR/\fIa13\fR. The -fractional distances can be entered as a simple fraction, e.g., 3/4. -.IP "\fB\-d\fR" 4 -.IX Item "-d" -output angles as degrees, minutes, seconds instead of decimal degrees. -.IP "\fB\-:\fR" 4 -.IX Item "-:" -like \fB\-d\fR, except use : as a separator instead of the d, ', and " -delimiters. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-b\fR" 4 -.IX Item "-b" -report the \fIback\fR azimuth at point 2 instead of the forward azimuth. -.IP "\fB\-f\fR" 4 -.IX Item "-f" -full output; each line of output consists of 12 quantities: \fIlat1\fR -\&\fIlon1\fR \fIazi1\fR \fIlat2\fR \fIlon2\fR \fIazi2\fR \fIs12\fR \fIa12\fR \fIm12\fR \fIM12\fR -\&\fIM21\fR \fIS12\fR. \fIa12\fR is described in \*(L"\s-1AUXILIARY SPHERE\*(R"\s0. The four -quantities \fIm12\fR, \fIM12\fR, \fIM21\fR, and \fIS12\fR are described in -\&\*(L"\s-1ADDITIONAL QUANTITIES\*(R"\s0. -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 3); \fIprec\fR is the -precision relative to 1 m. See \*(L"\s-1PRECISION\*(R"\s0. -.IP "\fB\-E\fR" 4 -.IX Item "-E" -use \*(L"exact\*(R" algorithms (based on elliptic integrals) for the geodesic -calculations. These are more accurate than the (default) series -expansions for |\fIf\fR| > 0.02. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "INPUT" -.IX Header "INPUT" -\&\fBGeodSolve\fR measures all angles in degrees and all lengths (\fIs12\fR) in -meters, and all areas (\fIS12\fR) in meters^2. On input angles (latitude, -longitude, azimuth, arc length) can be as decimal degrees or degrees, -minutes, seconds. For example, \f(CW\*(C`40d30\*(C'\fR, \f(CW\*(C`40d30\*(Aq\*(C'\fR, \f(CW\*(C`40:30\*(C'\fR, \f(CW\*(C`40.5d\*(C'\fR, -and \f(CW40.5\fR are all equivalent. By default, latitude precedes longitude -for each point (the \fB\-w\fR flag switches this convention); however on -input either may be given first by appending (or prepending) \fIN\fR or -\&\fIS\fR to the latitude and \fIE\fR or \fIW\fR to the longitude. Azimuths are -measured clockwise from north; however this may be overridden with \fIE\fR -or \fIW\fR. -.PP -For details on the allowed formats for angles, see the \f(CW\*(C`GEOGRAPHIC -COORDINATES\*(C'\fR section of \fBGeoConvert\fR\|(1). -.SH "AUXILIARY SPHERE" -.IX Header "AUXILIARY SPHERE" -Geodesics on the ellipsoid can be transferred to the \fIauxiliary sphere\fR -on which the distance is measured in terms of the arc length \fIa12\fR -(measured in degrees) instead of \fIs12\fR. In terms of \fIa12\fR, 180 -degrees is the distance from one equator crossing to the next or from -the minimum latitude to the maximum latitude. Geodesics with \fIa12\fR -> 180 degrees do not correspond to shortest paths. With the \fB\-a\fR -flag, \fIs12\fR (on both input and output) is replaced by \fIa12\fR. The -\&\fB\-a\fR flag does \fInot\fR affect the full output given by the \fB\-f\fR flag -(which always includes both \fIs12\fR and \fIa12\fR). -.SH "ADDITIONAL QUANTITIES" -.IX Header "ADDITIONAL QUANTITIES" -The \fB\-f\fR flag reports four additional quantities. -.PP -The reduced length of the geodesic, \fIm12\fR, is defined such that if the -initial azimuth is perturbed by d\fIazi1\fR (radians) then the second point -is displaced by \fIm12\fR d\fIazi1\fR in the direction perpendicular to the -geodesic. \fIm12\fR is given in meters. On a curved surface the -reduced length obeys a symmetry relation, \fIm12\fR + \fIm21\fR = 0. On a -flat surface, we have \fIm12\fR = \fIs12\fR. -.PP -\&\fIM12\fR and \fIM21\fR are geodesic scales. If two geodesics are parallel at -point 1 and separated by a small distance \fIdt\fR, then they are separated -by a distance \fIM12\fR \fIdt\fR at point 2. \fIM21\fR is defined similarly -(with the geodesics being parallel to one another at point 2). \fIM12\fR -and \fIM21\fR are dimensionless quantities. On a flat surface, we have -\&\fIM12\fR = \fIM21\fR = 1. -.PP -If points 1, 2, and 3 lie on a single geodesic, then the following -addition rules hold: -.PP -.Vb 6 -\& s13 = s12 + s23, -\& a13 = a12 + a23, -\& S13 = S12 + S23, -\& m13 = m12 M23 + m23 M21, -\& M13 = M12 M23 \- (1 \- M12 M21) m23 / m12, -\& M31 = M32 M21 \- (1 \- M23 M32) m12 / m23. -.Ve -.PP -Finally, \fIS12\fR is the area between the geodesic from point 1 to point 2 -and the equator; i.e., it is the area, measured counter-clockwise, of -the geodesic quadrilateral with corners (\fIlat1\fR,\fIlon1\fR), (0,\fIlon1\fR), -(0,\fIlon2\fR), and (\fIlat2\fR,\fIlon2\fR). It is given in meters^2. -.SH "PRECISION" -.IX Header "PRECISION" -\&\fIprec\fR gives precision of the output with \fIprec\fR = 0 giving 1 m -precision, \fIprec\fR = 3 giving 1 mm precision, etc. \fIprec\fR is the -number of digits after the decimal point for lengths. For decimal -degrees, the number of digits after the decimal point is \fIprec\fR + 5. -For \s-1DMS\s0 (degree, minute, seconds) output, the number of digits after the -decimal point in the seconds component is \fIprec\fR + 1. The minimum -value of \fIprec\fR is 0 and the maximum is 10. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGeodSolve\fR to return an exit code -of 1. However, an error does not cause \fBGeodSolve\fR to terminate; -following lines will be converted. -.SH "ACCURACY" -.IX Header "ACCURACY" -Using the (default) series solution, GeodSolve is accurate to about 15 -nm (15 nanometers) for the \s-1WGS84\s0 ellipsoid. The approximate maximum -error (expressed as a distance) for an ellipsoid with the same equatorial -radius as the \s-1WGS84\s0 ellipsoid and different values of the flattening is -.PP -.Vb 6 -\& |f| error -\& 0.01 25 nm -\& 0.02 30 nm -\& 0.05 10 um -\& 0.1 1.5 mm -\& 0.2 300 mm -.Ve -.PP -If \fB\-E\fR is specified, GeodSolve is accurate to about 40 nm (40 -nanometers) for the \s-1WGS84\s0 ellipsoid. The approximate maximum error -(expressed as a distance) for an ellipsoid with a quarter meridian of -10000 km and different values of the \fIa/b\fR = 1 \- \fIf\fR is -.PP -.Vb 10 -\& 1\-f error (nm) -\& 1/128 387 -\& 1/64 345 -\& 1/32 269 -\& 1/16 210 -\& 1/8 115 -\& 1/4 69 -\& 1/2 36 -\& 1 15 -\& 2 25 -\& 4 96 -\& 8 318 -\& 16 985 -\& 32 2352 -\& 64 6008 -\& 128 19024 -.Ve -.SH "MULTIPLE SOLUTIONS" -.IX Header "MULTIPLE SOLUTIONS" -The shortest distance returned for the inverse problem is (obviously) -uniquely defined. However, in a few special cases there are multiple -azimuths which yield the same shortest distance. Here is a catalog of -those cases: -.IP "\fIlat1\fR = \-\fIlat2\fR (with neither point at a pole)" 4 -.IX Item "lat1 = -lat2 (with neither point at a pole)" -If \fIazi1\fR = \fIazi2\fR, the geodesic is unique. Otherwise there are two -geodesics and the second one is obtained by setting [\fIazi1\fR,\fIazi2\fR] = -[\fIazi2\fR,\fIazi1\fR], [\fIM12\fR,\fIM21\fR] = [\fIM21\fR,\fIM12\fR], \fIS12\fR = \-\fIS12\fR. -(This occurs when the longitude difference is near +/\-180 for oblate -ellipsoids.) -.IP "\fIlon2\fR = \fIlon1\fR +/\- 180 (with neither point at a pole)" 4 -.IX Item "lon2 = lon1 +/- 180 (with neither point at a pole)" -If \fIazi1\fR = 0 or +/\-180, the geodesic is unique. Otherwise there are -two geodesics and the second one is obtained by setting -[\fIazi1\fR,\fIazi2\fR] = [\-\fIazi1\fR,\-\fIazi2\fR], \fIS12\fR = \-\fIS12\fR. (This occurs -when \fIlat2\fR is near \-\fIlat1\fR for prolate ellipsoids.) -.IP "Points 1 and 2 at opposite poles" 4 -.IX Item "Points 1 and 2 at opposite poles" -There are infinitely many geodesics which can be generated by setting -[\fIazi1\fR,\fIazi2\fR] = [\fIazi1\fR,\fIazi2\fR] + [\fId\fR,\-\fId\fR], for arbitrary -\&\fId\fR. (For spheres, this prescription applies when points 1 and 2 are -antipodal.) -.IP "\fIs12\fR = 0 (coincident points)" 4 -.IX Item "s12 = 0 (coincident points)" -There are infinitely many geodesics which can be generated by setting -[\fIazi1\fR,\fIazi2\fR] = [\fIazi1\fR,\fIazi2\fR] + [\fId\fR,\fId\fR], for arbitrary \fId\fR. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -Route from \s-1JFK\s0 Airport to Singapore Changi Airport: -.PP -.Vb 2 -\& echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E | -\& GeodSolve \-i \-: \-p 0 -\& -\& 003:18:29.9 177:29:09.2 15347628 -.Ve -.PP -Equally spaced waypoints on the route: -.PP -.Vb 2 -\& for ((i = 0; i <= 10; ++i)); do echo $i/10; done | -\& GeodSolve \-I 40:38:23N 073:46:44W 01:21:33N 103:59:22E \-F \-: \-p 0 -\& -\& 40:38:23.0N 073:46:44.0W 003:18:29.9 -\& 54:24:51.3N 072:25:39.6W 004:18:44.1 -\& 68:07:37.7N 069:40:42.9W 006:44:25.4 -\& 81:38:00.4N 058:37:53.9W 017:28:52.7 -\& 83:43:26.0N 080:37:16.9E 156:26:00.4 -\& 70:20:29.2N 097:01:29.4E 172:31:56.4 -\& 56:38:36.0N 100:14:47.6E 175:26:10.5 -\& 42:52:37.1N 101:43:37.2E 176:34:28.6 -\& 29:03:57.0N 102:39:34.8E 177:07:35.2 -\& 15:13:18.6N 103:22:08.0E 177:23:44.7 -\& 01:21:33.0N 103:59:22.0E 177:29:09.2 -.Ve -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fBGeoConvert\fR\|(1). -.PP -An online version of this utility is availbable at -. -.PP -The algorithms are described in C. F. F. Karney, -\&\fIAlgorithms for geodesics\fR, J. Geodesy 87, 43\-55 (2013); \s-1DOI:\s0 -; -addenda: . -.PP -The Wikipedia page, Geodesics on an ellipsoid, -. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGeodSolve\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGeodSolve\fR was added to GeographicLib, -, in 2009\-03. Prior to version -1.30, it was called \fBGeod\fR. (The name was changed to avoid a conflict -with the \fBgeod\fR utility in \fIproj.4\fR.) diff --git a/libs/GeographicLib-1.50.1/man/GeodSolve.1.html b/libs/GeographicLib-1.50.1/man/GeodSolve.1.html deleted file mode 100644 index e9dbc99c6afb175986ec0477ea329d06746185e9..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeodSolve.1.html +++ /dev/null @@ -1,333 +0,0 @@ - - - - -GeodSolve(1) - - - - - - - - -

NAME

- -

GeodSolve -- perform geodesic calculations

- -

SYNOPSIS

- -

GeodSolve [ -i | -L lat1 lon1 azi1 | -D lat1 lon1 azi1 s13 | -I lat1 lon1 lat3 lon3 ] [ -a ] [ -e a f ] [ -u ] [ -F ] [ -d | -: ] [ -w ] [ -b ] [ -f ] [ -p prec ] [ -E ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

The shortest path between two points on the ellipsoid at (lat1, lon1) and (lat2, lon2) is called the geodesic. Its length is s12 and the geodesic from point 1 to point 2 has forward azimuths azi1 and azi2 at the two end points.

- -

GeodSolve operates in one of three modes:

- -
    - -

  1. By default, GeodSolve accepts lines on the standard input containing lat1 lon1 azi1 s12 and prints lat2 lon2 azi2 on standard output. This is the direct geodesic calculation.

    - -
    2. -

  2. With the -i command line argument, GeodSolve performs the inverse geodesic calculation. It reads lines containing lat1 lon1 lat2 lon2 and prints the corresponding values of azi1 azi2 s12.

    - -
    3. -

  3. Command line arguments -L lat1 lon1 azi1 specify a geodesic line. GeodSolve then accepts a sequence of s12 values (one per line) on standard input and prints lat2 lon2 azi2 for each. This generates a sequence of points on a single geodesic. Command line arguments -D and -I work similarly with the geodesic line defined in terms of a direct or inverse geodesic calculation, respectively.

    - -
    4. -
- -

OPTIONS

- - - -

INPUT

- -

GeodSolve measures all angles in degrees and all lengths (s12) in meters, and all areas (S12) in meters^2. On input angles (latitude, longitude, azimuth, arc length) can be as decimal degrees or degrees, minutes, seconds. For example, 40d30, 40d30', 40:30, 40.5d, and 40.5 are all equivalent. By default, latitude precedes longitude for each point (the -w flag switches this convention); however on input either may be given first by appending (or prepending) N or S to the latitude and E or W to the longitude. Azimuths are measured clockwise from north; however this may be overridden with E or W.

- -

For details on the allowed formats for angles, see the GEOGRAPHIC COORDINATES section of GeoConvert(1).

- -

AUXILIARY SPHERE

- -

Geodesics on the ellipsoid can be transferred to the auxiliary sphere on which the distance is measured in terms of the arc length a12 (measured in degrees) instead of s12. In terms of a12, 180 degrees is the distance from one equator crossing to the next or from the minimum latitude to the maximum latitude. Geodesics with a12 > 180 degrees do not correspond to shortest paths. With the -a flag, s12 (on both input and output) is replaced by a12. The -a flag does not affect the full output given by the -f flag (which always includes both s12 and a12).

- -

ADDITIONAL QUANTITIES

- -

The -f flag reports four additional quantities.

- -

The reduced length of the geodesic, m12, is defined such that if the initial azimuth is perturbed by dazi1 (radians) then the second point is displaced by m12 dazi1 in the direction perpendicular to the geodesic. m12 is given in meters. On a curved surface the reduced length obeys a symmetry relation, m12 + m21 = 0. On a flat surface, we have m12 = s12.

- -

M12 and M21 are geodesic scales. If two geodesics are parallel at point 1 and separated by a small distance dt, then they are separated by a distance M12 dt at point 2. M21 is defined similarly (with the geodesics being parallel to one another at point 2). M12 and M21 are dimensionless quantities. On a flat surface, we have M12 = M21 = 1.

- -

If points 1, 2, and 3 lie on a single geodesic, then the following addition rules hold:

- -
   s13 = s12 + s23,
-   a13 = a12 + a23,
-   S13 = S12 + S23,
-   m13 = m12 M23 + m23 M21,
-   M13 = M12 M23 - (1 - M12 M21) m23 / m12,
-   M31 = M32 M21 - (1 - M23 M32) m12 / m23.
- -

Finally, S12 is the area between the geodesic from point 1 to point 2 and the equator; i.e., it is the area, measured counter-clockwise, of the geodesic quadrilateral with corners (lat1,lon1), (0,lon1), (0,lon2), and (lat2,lon2). It is given in meters^2.

- -

PRECISION

- -

prec gives precision of the output with prec = 0 giving 1 m precision, prec = 3 giving 1 mm precision, etc. prec is the number of digits after the decimal point for lengths. For decimal degrees, the number of digits after the decimal point is prec + 5. For DMS (degree, minute, seconds) output, the number of digits after the decimal point in the seconds component is prec + 1. The minimum value of prec is 0 and the maximum is 10.

- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeodSolve to return an exit code of 1. However, an error does not cause GeodSolve to terminate; following lines will be converted.

- -

ACCURACY

- -

Using the (default) series solution, GeodSolve is accurate to about 15 nm (15 nanometers) for the WGS84 ellipsoid. The approximate maximum error (expressed as a distance) for an ellipsoid with the same equatorial radius as the WGS84 ellipsoid and different values of the flattening is

- -
   |f|     error
-   0.01    25 nm
-   0.02    30 nm
-   0.05    10 um
-   0.1    1.5 mm
-   0.2    300 mm
- -

If -E is specified, GeodSolve is accurate to about 40 nm (40 nanometers) for the WGS84 ellipsoid. The approximate maximum error (expressed as a distance) for an ellipsoid with a quarter meridian of 10000 km and different values of the a/b = 1 - f is

- -
   1-f    error (nm)
-   1/128   387
-   1/64    345
-   1/32    269
-   1/16    210
-   1/8     115
-   1/4      69
-   1/2      36
-     1      15
-     2      25
-     4      96
-     8     318
-    16     985
-    32    2352
-    64    6008
-   128   19024
- -

MULTIPLE SOLUTIONS

- -

The shortest distance returned for the inverse problem is (obviously) uniquely defined. However, in a few special cases there are multiple azimuths which yield the same shortest distance. Here is a catalog of those cases:

- -
- -
lat1 = -lat2 (with neither point at a pole)
-
- -

If azi1 = azi2, the geodesic is unique. Otherwise there are two geodesics and the second one is obtained by setting [azi1,azi2] = [azi2,azi1], [M12,M21] = [M21,M12], S12 = -S12. (This occurs when the longitude difference is near +/-180 for oblate ellipsoids.)

- -
-
lon2 = lon1 +/- 180 (with neither point at a pole)
-
- -

If azi1 = 0 or +/-180, the geodesic is unique. Otherwise there are two geodesics and the second one is obtained by setting [azi1,azi2] = [-azi1,-azi2], S12 = -S12. (This occurs when lat2 is near -lat1 for prolate ellipsoids.)

- -
-
Points 1 and 2 at opposite poles
-
- -

There are infinitely many geodesics which can be generated by setting [azi1,azi2] = [azi1,azi2] + [d,-d], for arbitrary d. (For spheres, this prescription applies when points 1 and 2 are antipodal.)

- -
-
s12 = 0 (coincident points)
-
- -

There are infinitely many geodesics which can be generated by setting [azi1,azi2] = [azi1,azi2] + [d,d], for arbitrary d.

- -
-
- -

EXAMPLES

- -

Route from JFK Airport to Singapore Changi Airport:

- -
   echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E |
-   GeodSolve -i -: -p 0
-
-   003:18:29.9 177:29:09.2 15347628
- -

Equally spaced waypoints on the route:

- -
   for ((i = 0; i <= 10; ++i)); do echo $i/10; done |
-   GeodSolve -I 40:38:23N 073:46:44W 01:21:33N 103:59:22E -F -: -p 0
-
-   40:38:23.0N 073:46:44.0W 003:18:29.9
-   54:24:51.3N 072:25:39.6W 004:18:44.1
-   68:07:37.7N 069:40:42.9W 006:44:25.4
-   81:38:00.4N 058:37:53.9W 017:28:52.7
-   83:43:26.0N 080:37:16.9E 156:26:00.4
-   70:20:29.2N 097:01:29.4E 172:31:56.4
-   56:38:36.0N 100:14:47.6E 175:26:10.5
-   42:52:37.1N 101:43:37.2E 176:34:28.6
-   29:03:57.0N 102:39:34.8E 177:07:35.2
-   15:13:18.6N 103:22:08.0E 177:23:44.7
-   01:21:33.0N 103:59:22.0E 177:29:09.2
- -

SEE ALSO

- -

GeoConvert(1).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeodSolve.

- -

The algorithms are described in C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI: https://doi.org/10.1007/s00190-012-0578-z; addenda: https://geographiclib.sourceforge.io/geod-addenda.html.

- -

The Wikipedia page, Geodesics on an ellipsoid, https://en.wikipedia.org/wiki/Geodesics_on_an_ellipsoid.

- -

AUTHOR

- -

GeodSolve was written by Charles Karney.

- -

HISTORY

- -

GeodSolve was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-03. Prior to version 1.30, it was called Geod. (The name was changed to avoid a conflict with the geod utility in proj.4.)

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/man/GeodSolve.pod b/libs/GeographicLib-1.50.1/man/GeodSolve.pod deleted file mode 100644 index 4603c6f82cbc4e44a61909018458d901ddc2100e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeodSolve.pod +++ /dev/null @@ -1,399 +0,0 @@ -=head1 NAME - -GeodSolve -- perform geodesic calculations - -=head1 SYNOPSIS - -B -[ B<-i> | B<-L> I I I | -B<-D> I I I I | B<-I> I I I I ] -[ B<-a> ] [ B<-e> I I ] [ B<-u> ] [ B<-F> ] -[ B<-d> | B<-:> ] [ B<-w> ] [ B<-b> ] [ B<-f> ] [ B<-p> I ] [ B<-E> ] -[ B<--comment-delimiter> I ] -[ B<--version> | B<-h> | B<--help> ] -[ B<--input-file> I | B<--input-string> I ] -[ B<--line-separator> I ] -[ B<--output-file> I ] - -=head1 DESCRIPTION - -The shortest path between two points on the ellipsoid at (I, -I) and (I, I) is called the geodesic. Its length is -I and the geodesic from point 1 to point 2 has forward azimuths -I and I at the two end points. - -B operates in one of three modes: - -=over - -=item 1. - -By default, B accepts lines on the standard input containing -I I I I and prints I I I -on standard output. This is the direct geodesic calculation. - -=item 2. - -With the B<-i> command line argument, B performs the inverse -geodesic calculation. It reads lines containing I I I -I and prints the corresponding values of I I I. - -=item 3. - -Command line arguments B<-L> I I I specify a geodesic -line. B then accepts a sequence of I values (one per -line) on standard input and prints I I I for each. -This generates a sequence of points on a single geodesic. Command line -arguments B<-D> and B<-I> work similarly with the geodesic line defined -in terms of a direct or inverse geodesic calculation, respectively. - -=back - -=head1 OPTIONS - -=over - -=item B<-i> - -perform an inverse geodesic calculation (see 2 above). - -=item B<-L> I I I - -line mode (see 3 above); generate a sequence of points along the -geodesic specified by I I I. The B<-w> flag can be -used to swap the default order of the 2 geographic coordinates, provided -that it appears before B<-L>. (B<-l> is an alternative, deprecated, -spelling of this flag.) - -=item B<-D> I I I I - -line mode (see 3 above); generate a sequence of points along the -geodesic specified by I I I I. The B<-w> flag -can be used to swap the default order of the 2 geographic coordinates, -provided that it appears before B<-D>. Similarly, the B<-a> flag can be -used to change the interpretation of I to I, provided that it -appears before B<-D>. - -=item B<-I> I I I I - -line mode (see 3 above); generate a sequence of points along the -geodesic specified by I I I I. The B<-w> flag -can be used to swap the default order of the 2 geographic coordinates, -provided that it appears before B<-I>. - -=item B<-a> - -toggle the arc mode flag (it starts off); if this flag is on, then on -input I output I is replaced by I the arc length (in -degrees) on the auxiliary sphere. See L. - -=item B<-e> I I - -specify the ellipsoid via the equatorial radius, I and -the flattening, I. Setting I = 0 results in a sphere. Specify -I E 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for I. By default, the WGS84 ellipsoid is used, I = -6378137 m, I = 1/298.257223563. - -=item B<-u> - -unroll the longitude. Normally, on output longitudes are reduced to lie -in [-180deg,180deg). However with this option, the returned longitude -I is "unrolled" so that I - I indicates how often and -in what sense the geodesic has encircled the earth. Use the B<-f> -option, to get both longitudes printed. - -=item B<-F> - -fractional mode. This only has any effect with the B<-D> and B<-I> -options (and is otherwise ignored). The values read on standard input -are interpreted as fractional distances to point 3, i.e., as -I/I instead of I. If arc mode is in effect, then the -values denote fractional arc length, i.e., I/I. The -fractional distances can be entered as a simple fraction, e.g., 3/4. - -=item B<-d> - -output angles as degrees, minutes, seconds instead of decimal degrees. - -=item B<-:> - -like B<-d>, except use : as a separator instead of the d, ', and " -delimiters. - -=item B<-w> - -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, I, I, I, -I). - -=item B<-b> - -report the I azimuth at point 2 instead of the forward azimuth. - -=item B<-f> - -full output; each line of output consists of 12 quantities: I -I I I I I I I I I -I I. I is described in L. The four -quantities I, I, I, and I are described in -L. - -=item B<-p> I - -set the output precision to I (default 3); I is the -precision relative to 1 m. See L. - -=item B<-E> - -use "exact" algorithms (based on elliptic integrals) for the geodesic -calculations. These are more accurate than the (default) series -expansions for |I| E 0.02. - -=item B<--comment-delimiter> I - -set the comment delimiter to I (e.g., "#" or "//"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). - -=item B<--version> - -print version and exit. - -=item B<-h> - -print usage and exit. - -=item B<--help> - -print full documentation and exit. - -=item B<--input-file> I - -read input from the file I instead of from standard input; a file -name of "-" stands for standard input. - -=item B<--input-string> I - -read input from the string I instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in I are converted to newlines before the reading begins. - -=item B<--line-separator> I - -set the line separator character to I. By default this is a -semicolon. - -=item B<--output-file> I - -write output to the file I instead of to standard output; a -file name of "-" stands for standard output. - -=back - -=head1 INPUT - -B measures all angles in degrees and all lengths (I) in -meters, and all areas (I) in meters^2. On input angles (latitude, -longitude, azimuth, arc length) can be as decimal degrees or degrees, -minutes, seconds. For example, C<40d30>, C<40d30'>, C<40:30>, C<40.5d>, -and C<40.5> are all equivalent. By default, latitude precedes longitude -for each point (the B<-w> flag switches this convention); however on -input either may be given first by appending (or prepending) I or -I to the latitude and I or I to the longitude. Azimuths are -measured clockwise from north; however this may be overridden with I -or I. - -For details on the allowed formats for angles, see the C section of GeoConvert(1). - -=head1 AUXILIARY SPHERE - -Geodesics on the ellipsoid can be transferred to the I -on which the distance is measured in terms of the arc length I -(measured in degrees) instead of I. In terms of I, 180 -degrees is the distance from one equator crossing to the next or from -the minimum latitude to the maximum latitude. Geodesics with I -E 180 degrees do not correspond to shortest paths. With the B<-a> -flag, I (on both input and output) is replaced by I. The -B<-a> flag does I affect the full output given by the B<-f> flag -(which always includes both I and I). - -=head1 ADDITIONAL QUANTITIES - -The B<-f> flag reports four additional quantities. - -The reduced length of the geodesic, I, is defined such that if the -initial azimuth is perturbed by dI (radians) then the second point -is displaced by I dI in the direction perpendicular to the -geodesic. I is given in meters. On a curved surface the -reduced length obeys a symmetry relation, I + I = 0. On a -flat surface, we have I = I. - -I and I are geodesic scales. If two geodesics are parallel at -point 1 and separated by a small distance I
, then they are separated -by a distance I I
at point 2. I is defined similarly -(with the geodesics being parallel to one another at point 2). I -and I are dimensionless quantities. On a flat surface, we have -I = I = 1. - -If points 1, 2, and 3 lie on a single geodesic, then the following -addition rules hold: - - s13 = s12 + s23, - a13 = a12 + a23, - S13 = S12 + S23, - m13 = m12 M23 + m23 M21, - M13 = M12 M23 - (1 - M12 M21) m23 / m12, - M31 = M32 M21 - (1 - M23 M32) m12 / m23. - -Finally, I is the area between the geodesic from point 1 to point 2 -and the equator; i.e., it is the area, measured counter-clockwise, of -the geodesic quadrilateral with corners (I,I), (0,I), -(0,I), and (I,I). It is given in meters^2. - -=head1 PRECISION - -I gives precision of the output with I = 0 giving 1 m -precision, I = 3 giving 1 mm precision, etc. I is the -number of digits after the decimal point for lengths. For decimal -degrees, the number of digits after the decimal point is I + 5. -For DMS (degree, minute, seconds) output, the number of digits after the -decimal point in the seconds component is I + 1. The minimum -value of I is 0 and the maximum is 10. - -=head1 ERRORS - -An illegal line of input will print an error message to standard output -beginning with C and causes B to return an exit code -of 1. However, an error does not cause B to terminate; -following lines will be converted. - -=head1 ACCURACY - -Using the (default) series solution, GeodSolve is accurate to about 15 -nm (15 nanometers) for the WGS84 ellipsoid. The approximate maximum -error (expressed as a distance) for an ellipsoid with the same equatorial -radius as the WGS84 ellipsoid and different values of the flattening is - - |f| error - 0.01 25 nm - 0.02 30 nm - 0.05 10 um - 0.1 1.5 mm - 0.2 300 mm - -If B<-E> is specified, GeodSolve is accurate to about 40 nm (40 -nanometers) for the WGS84 ellipsoid. The approximate maximum error -(expressed as a distance) for an ellipsoid with a quarter meridian of -10000 km and different values of the I = 1 - I is - - 1-f error (nm) - 1/128 387 - 1/64 345 - 1/32 269 - 1/16 210 - 1/8 115 - 1/4 69 - 1/2 36 - 1 15 - 2 25 - 4 96 - 8 318 - 16 985 - 32 2352 - 64 6008 - 128 19024 - -=head1 MULTIPLE SOLUTIONS - -The shortest distance returned for the inverse problem is (obviously) -uniquely defined. However, in a few special cases there are multiple -azimuths which yield the same shortest distance. Here is a catalog of -those cases: - -=over - -=item I = -I (with neither point at a pole) - -If I = I, the geodesic is unique. Otherwise there are two -geodesics and the second one is obtained by setting [I,I] = -[I,I], [I,I] = [I,I], I = -I. -(This occurs when the longitude difference is near +/-180 for oblate -ellipsoids.) - -=item I = I +/- 180 (with neither point at a pole) - -If I = 0 or +/-180, the geodesic is unique. Otherwise there are -two geodesics and the second one is obtained by setting -[I,I] = [-I,-I], I = -I. (This occurs -when I is near -I for prolate ellipsoids.) - -=item Points 1 and 2 at opposite poles - -There are infinitely many geodesics which can be generated by setting -[I,I] = [I,I] + [I,-I], for arbitrary -I. (For spheres, this prescription applies when points 1 and 2 are -antipodal.) - -=item I = 0 (coincident points) - -There are infinitely many geodesics which can be generated by setting -[I,I] = [I,I] + [I,I], for arbitrary I. - -=back - -=head1 EXAMPLES - -Route from JFK Airport to Singapore Changi Airport: - - echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E | - GeodSolve -i -: -p 0 - - 003:18:29.9 177:29:09.2 15347628 - -Equally spaced waypoints on the route: - - for ((i = 0; i <= 10; ++i)); do echo $i/10; done | - GeodSolve -I 40:38:23N 073:46:44W 01:21:33N 103:59:22E -F -: -p 0 - - 40:38:23.0N 073:46:44.0W 003:18:29.9 - 54:24:51.3N 072:25:39.6W 004:18:44.1 - 68:07:37.7N 069:40:42.9W 006:44:25.4 - 81:38:00.4N 058:37:53.9W 017:28:52.7 - 83:43:26.0N 080:37:16.9E 156:26:00.4 - 70:20:29.2N 097:01:29.4E 172:31:56.4 - 56:38:36.0N 100:14:47.6E 175:26:10.5 - 42:52:37.1N 101:43:37.2E 176:34:28.6 - 29:03:57.0N 102:39:34.8E 177:07:35.2 - 15:13:18.6N 103:22:08.0E 177:23:44.7 - 01:21:33.0N 103:59:22.0E 177:29:09.2 - -=head1 SEE ALSO - -GeoConvert(1). - -An online version of this utility is availbable at -L. - -The algorithms are described in C. F. F. Karney, -I, J. Geodesy 87, 43-55 (2013); DOI: -L; -addenda: L. - -The Wikipedia page, Geodesics on an ellipsoid, -L. - -=head1 AUTHOR - -B was written by Charles Karney. - -=head1 HISTORY - -B was added to GeographicLib, -L, in 2009-03. Prior to version -1.30, it was called B. (The name was changed to avoid a conflict -with the B utility in I.) diff --git a/libs/GeographicLib-1.50.1/man/GeodSolve.usage b/libs/GeographicLib-1.50.1/man/GeodSolve.usage deleted file mode 100644 index a46c5a9ad965777c98af4c83a6f6f664a8477990..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeodSolve.usage +++ /dev/null @@ -1,339 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" GeodSolve [ -i | -L lat1 lon1 azi1 | -D lat1 lon1 azi1 s13 | -I lat1\n" -" lon1 lat3 lon3 ] [ -a ] [ -e a f ] [ -u ] [ -F ] [ -d | -: ] [ -w ] [\n" -" -b ] [ -f ] [ -p prec ] [ -E ] [ --comment-delimiter commentdelim ] [\n" -" --version | -h | --help ] [ --input-file infile | --input-string\n" -" instring ] [ --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" GeodSolve --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/GeodSolve.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" GeodSolve -- perform geodesic calculations\n" -"\n" -"SYNOPSIS\n" -" GeodSolve [ -i | -L lat1 lon1 azi1 | -D lat1 lon1 azi1 s13 | -I lat1\n" -" lon1 lat3 lon3 ] [ -a ] [ -e a f ] [ -u ] [ -F ] [ -d | -: ] [ -w ] [\n" -" -b ] [ -f ] [ -p prec ] [ -E ] [ --comment-delimiter commentdelim ] [\n" -" --version | -h | --help ] [ --input-file infile | --input-string\n" -" instring ] [ --line-separator linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" The shortest path between two points on the ellipsoid at (lat1, lon1)\n" -" and (lat2, lon2) is called the geodesic. Its length is s12 and the\n" -" geodesic from point 1 to point 2 has forward azimuths azi1 and azi2 at\n" -" the two end points.\n" -"\n" -" GeodSolve operates in one of three modes:\n" -"\n" -" 1. By default, GeodSolve accepts lines on the standard input\n" -" containing lat1 lon1 azi1 s12 and prints lat2 lon2 azi2 on standard\n" -" output. This is the direct geodesic calculation.\n" -"\n" -" 2. With the -i command line argument, GeodSolve performs the inverse\n" -" geodesic calculation. It reads lines containing lat1 lon1 lat2\n" -" lon2 and prints the corresponding values of azi1 azi2 s12.\n" -"\n" -" 3. Command line arguments -L lat1 lon1 azi1 specify a geodesic line.\n" -" GeodSolve then accepts a sequence of s12 values (one per line) on\n" -" standard input and prints lat2 lon2 azi2 for each. This generates\n" -" a sequence of points on a single geodesic. Command line arguments\n" -" -D and -I work similarly with the geodesic line defined in terms of\n" -" a direct or inverse geodesic calculation, respectively.\n" -"\n" -"OPTIONS\n" -" -i perform an inverse geodesic calculation (see 2 above).\n" -"\n" -" -L lat1 lon1 azi1\n" -" line mode (see 3 above); generate a sequence of points along the\n" -" geodesic specified by lat1 lon1 azi1. The -w flag can be used to\n" -" swap the default order of the 2 geographic coordinates, provided\n" -" that it appears before -L. (-l is an alternative, deprecated,\n" -" spelling of this flag.)\n" -"\n" -" -D lat1 lon1 azi1 s13\n" -" line mode (see 3 above); generate a sequence of points along the\n" -" geodesic specified by lat1 lon1 azi1 s13. The -w flag can be used\n" -" to swap the default order of the 2 geographic coordinates, provided\n" -" that it appears before -D. Similarly, the -a flag can be used to\n" -" change the interpretation of s13 to a13, provided that it appears\n" -" before -D.\n" -"\n" -" -I lat1 lon1 lat3 lon3\n" -" line mode (see 3 above); generate a sequence of points along the\n" -" geodesic specified by lat1 lon1 lat3 lon3. The -w flag can be used\n" -" to swap the default order of the 2 geographic coordinates, provided\n" -" that it appears before -I.\n" -"\n" -" -a toggle the arc mode flag (it starts off); if this flag is on, then\n" -" on input and output s12 is replaced by a12 the arc length (in\n" -" degrees) on the auxiliary sphere. See \"AUXILIARY SPHERE\".\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -u unroll the longitude. Normally, on output longitudes are reduced\n" -" to lie in [-180deg,180deg). However with this option, the returned\n" -" longitude lon2 is \"unrolled\" so that lon2 - lon1 indicates how\n" -" often and in what sense the geodesic has encircled the earth. Use\n" -" the -f option, to get both longitudes printed.\n" -"\n" -" -F fractional mode. This only has any effect with the -D and -I\n" -" options (and is otherwise ignored). The values read on standard\n" -" input are interpreted as fractional distances to point 3, i.e., as\n" -" s12/s13 instead of s12. If arc mode is in effect, then the values\n" -" denote fractional arc length, i.e., a12/a13. The fractional\n" -" distances can be entered as a simple fraction, e.g., 3/4.\n" -"\n" -" -d output angles as degrees, minutes, seconds instead of decimal\n" -" degrees.\n" -"\n" -" -: like -d, except use : as a separator instead of the d, ', and \"\n" -" delimiters.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -b report the back azimuth at point 2 instead of the forward azimuth.\n" -"\n" -" -f full output; each line of output consists of 12 quantities: lat1\n" -" lon1 azi1 lat2 lon2 azi2 s12 a12 m12 M12 M21 S12. a12 is described\n" -" in \"AUXILIARY SPHERE\". The four quantities m12, M12, M21, and S12\n" -" are described in \"ADDITIONAL QUANTITIES\".\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 3); prec is the precision\n" -" relative to 1 m. See \"PRECISION\".\n" -"\n" -" -E use \"exact\" algorithms (based on elliptic integrals) for the\n" -" geodesic calculations. These are more accurate than the (default)\n" -" series expansions for |f| > 0.02.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"INPUT\n" -" GeodSolve measures all angles in degrees and all lengths (s12) in\n" -" meters, and all areas (S12) in meters^2. On input angles (latitude,\n" -" longitude, azimuth, arc length) can be as decimal degrees or degrees,\n" -" minutes, seconds. For example, \"40d30\", \"40d30'\", \"40:30\", \"40.5d\",\n" -" and 40.5 are all equivalent. By default, latitude precedes longitude\n" -" for each point (the -w flag switches this convention); however on input\n" -" either may be given first by appending (or prepending) N or S to the\n" -" latitude and E or W to the longitude. Azimuths are measured clockwise\n" -" from north; however this may be overridden with E or W.\n" -"\n" -" For details on the allowed formats for angles, see the \"GEOGRAPHIC\n" -" COORDINATES\" section of GeoConvert(1).\n" -"\n" -"AUXILIARY SPHERE\n" -" Geodesics on the ellipsoid can be transferred to the auxiliary sphere\n" -" on which the distance is measured in terms of the arc length a12\n" -" (measured in degrees) instead of s12. In terms of a12, 180 degrees is\n" -" the distance from one equator crossing to the next or from the minimum\n" -" latitude to the maximum latitude. Geodesics with a12 > 180 degrees do\n" -" not correspond to shortest paths. With the -a flag, s12 (on both input\n" -" and output) is replaced by a12. The -a flag does not affect the full\n" -" output given by the -f flag (which always includes both s12 and a12).\n" -"\n" -"ADDITIONAL QUANTITIES\n" -" The -f flag reports four additional quantities.\n" -"\n" -" The reduced length of the geodesic, m12, is defined such that if the\n" -" initial azimuth is perturbed by dazi1 (radians) then the second point\n" -" is displaced by m12 dazi1 in the direction perpendicular to the\n" -" geodesic. m12 is given in meters. On a curved surface the reduced\n" -" length obeys a symmetry relation, m12 + m21 = 0. On a flat surface, we\n" -" have m12 = s12.\n" -"\n" -" M12 and M21 are geodesic scales. If two geodesics are parallel at\n" -" point 1 and separated by a small distance dt, then they are separated\n" -" by a distance M12 dt at point 2. M21 is defined similarly (with the\n" -" geodesics being parallel to one another at point 2). M12 and M21 are\n" -" dimensionless quantities. On a flat surface, we have M12 = M21 = 1.\n" -"\n" -" If points 1, 2, and 3 lie on a single geodesic, then the following\n" -" addition rules hold:\n" -"\n" -" s13 = s12 + s23,\n" -" a13 = a12 + a23,\n" -" S13 = S12 + S23,\n" -" m13 = m12 M23 + m23 M21,\n" -" M13 = M12 M23 - (1 - M12 M21) m23 / m12,\n" -" M31 = M32 M21 - (1 - M23 M32) m12 / m23.\n" -"\n" -" Finally, S12 is the area between the geodesic from point 1 to point 2\n" -" and the equator; i.e., it is the area, measured counter-clockwise, of\n" -" the geodesic quadrilateral with corners (lat1,lon1), (0,lon1),\n" -" (0,lon2), and (lat2,lon2). It is given in meters^2.\n" -"\n" -"PRECISION\n" -" prec gives precision of the output with prec = 0 giving 1 m precision,\n" -" prec = 3 giving 1 mm precision, etc. prec is the number of digits\n" -" after the decimal point for lengths. For decimal degrees, the number\n" -" of digits after the decimal point is prec + 5. For DMS (degree,\n" -" minute, seconds) output, the number of digits after the decimal point\n" -" in the seconds component is prec + 1. The minimum value of prec is 0\n" -" and the maximum is 10.\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes GeodSolve to return an exit code of\n" -" 1. However, an error does not cause GeodSolve to terminate; following\n" -" lines will be converted.\n" -"\n" -"ACCURACY\n" -" Using the (default) series solution, GeodSolve is accurate to about 15\n" -" nm (15 nanometers) for the WGS84 ellipsoid. The approximate maximum\n" -" error (expressed as a distance) for an ellipsoid with the same\n" -" equatorial radius as the WGS84 ellipsoid and different values of the\n" -" flattening is\n" -"\n" -" |f| error\n" -" 0.01 25 nm\n" -" 0.02 30 nm\n" -" 0.05 10 um\n" -" 0.1 1.5 mm\n" -" 0.2 300 mm\n" -"\n" -" If -E is specified, GeodSolve is accurate to about 40 nm (40\n" -" nanometers) for the WGS84 ellipsoid. The approximate maximum error\n" -" (expressed as a distance) for an ellipsoid with a quarter meridian of\n" -" 10000 km and different values of the a/b = 1 - f is\n" -"\n" -" 1-f error (nm)\n" -" 1/128 387\n" -" 1/64 345\n" -" 1/32 269\n" -" 1/16 210\n" -" 1/8 115\n" -" 1/4 69\n" -" 1/2 36\n" -" 1 15\n" -" 2 25\n" -" 4 96\n" -" 8 318\n" -" 16 985\n" -" 32 2352\n" -" 64 6008\n" -" 128 19024\n" -"\n" -"MULTIPLE SOLUTIONS\n" -" The shortest distance returned for the inverse problem is (obviously)\n" -" uniquely defined. However, in a few special cases there are multiple\n" -" azimuths which yield the same shortest distance. Here is a catalog of\n" -" those cases:\n" -"\n" -" lat1 = -lat2 (with neither point at a pole)\n" -" If azi1 = azi2, the geodesic is unique. Otherwise there are two\n" -" geodesics and the second one is obtained by setting [azi1,azi2] =\n" -" [azi2,azi1], [M12,M21] = [M21,M12], S12 = -S12. (This occurs when\n" -" the longitude difference is near +/-180 for oblate ellipsoids.)\n" -"\n" -" lon2 = lon1 +/- 180 (with neither point at a pole)\n" -" If azi1 = 0 or +/-180, the geodesic is unique. Otherwise there are\n" -" two geodesics and the second one is obtained by setting [azi1,azi2]\n" -" = [-azi1,-azi2], S12 = -S12. (This occurs when lat2 is near -lat1\n" -" for prolate ellipsoids.)\n" -"\n" -" Points 1 and 2 at opposite poles\n" -" There are infinitely many geodesics which can be generated by\n" -" setting [azi1,azi2] = [azi1,azi2] + [d,-d], for arbitrary d. (For\n" -" spheres, this prescription applies when points 1 and 2 are\n" -" antipodal.)\n" -"\n" -" s12 = 0 (coincident points)\n" -" There are infinitely many geodesics which can be generated by\n" -" setting [azi1,azi2] = [azi1,azi2] + [d,d], for arbitrary d.\n" -"\n" -"EXAMPLES\n" -" Route from JFK Airport to Singapore Changi Airport:\n" -"\n" -" echo 40:38:23N 073:46:44W 01:21:33N 103:59:22E |\n" -" GeodSolve -i -: -p 0\n" -"\n" -" 003:18:29.9 177:29:09.2 15347628\n" -"\n" -" Equally spaced waypoints on the route:\n" -"\n" -" for ((i = 0; i <= 10; ++i)); do echo $i/10; done |\n" -" GeodSolve -I 40:38:23N 073:46:44W 01:21:33N 103:59:22E -F -: -p 0\n" -"\n" -" 40:38:23.0N 073:46:44.0W 003:18:29.9\n" -" 54:24:51.3N 072:25:39.6W 004:18:44.1\n" -" 68:07:37.7N 069:40:42.9W 006:44:25.4\n" -" 81:38:00.4N 058:37:53.9W 017:28:52.7\n" -" 83:43:26.0N 080:37:16.9E 156:26:00.4\n" -" 70:20:29.2N 097:01:29.4E 172:31:56.4\n" -" 56:38:36.0N 100:14:47.6E 175:26:10.5\n" -" 42:52:37.1N 101:43:37.2E 176:34:28.6\n" -" 29:03:57.0N 102:39:34.8E 177:07:35.2\n" -" 15:13:18.6N 103:22:08.0E 177:23:44.7\n" -" 01:21:33.0N 103:59:22.0E 177:29:09.2\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1).\n" -"\n" -" An online version of this utility is availbable at\n" -" .\n" -"\n" -" The algorithms are described in C. F. F. Karney, Algorithms for\n" -" geodesics, J. Geodesy 87, 43-55 (2013); DOI:\n" -" ; addenda:\n" -" .\n" -"\n" -" The Wikipedia page, Geodesics on an ellipsoid,\n" -" .\n" -"\n" -"AUTHOR\n" -" GeodSolve was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" GeodSolve was added to GeographicLib,\n" -" , in 2009-03. Prior to version\n" -" 1.30, it was called Geod. (The name was changed to avoid a conflict\n" -" with the geod utility in proj.4.)\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/man/GeodesicProj.1 b/libs/GeographicLib-1.50.1/man/GeodesicProj.1 deleted file mode 100644 index dc211175bdecd9ccf56b56252d523541699283ab..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeodesicProj.1 +++ /dev/null @@ -1,277 +0,0 @@ -.\" Automatically generated by Pod::Man 4.12 (Pod::Simple 3.39) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -GeodesicProj \-\- perform projections based on geodesics -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGeodesicProj\fR ( \fB\-z\fR | \fB\-c\fR | \fB\-g\fR ) \fIlat0\fR \fIlon0\fR [ \fB\-r\fR ] -[ \fB\-e\fR \fIa\fR \fIf\fR ] [ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -Perform projections based on geodesics. Convert geodetic coordinates to -either azimuthal equidistant, Cassini-Soldner, or gnomonic coordinates. -The center of the projection (\fIlat0\fR, \fIlon0\fR) is specified by either -the \fB\-c\fR option (for Cassini-Soldner), the \fB\-z\fR option (for azimuthal -equidistant), or the \fB\-g\fR option (for gnomonic). At least one of these -options must be given (the last one given is used). -.PP -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) \fIlatitude\fR and \fIlongitude\fR (decimal -degrees or degrees, minutes, seconds); for details on the allowed -formats for latitude and longitude, see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR -section of \fBGeoConvert\fR\|(1). For each set of geodetic coordinates, the -corresponding projected coordinates \fIx\fR, \fIy\fR (meters) are printed on -standard output together with the azimuth \fIazi\fR (degrees) and -reciprocal scale \fIrk\fR. For Cassini-Soldner, \fIazi\fR is the bearing of -the easting direction and the scale in the easting direction is 1 and -the scale in the northing direction is 1/\fIrk\fR. For azimuthal -equidistant and gnomonic, \fIazi\fR is the bearing of the radial direction -and the scale in the azimuthal direction is 1/\fIrk\fR. For azimuthal -equidistant and gnomonic, the scales in the radial direction are 1 and -1/\fIrk\fR^2, respectively. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-z\fR \fIlat0\fR \fIlon0\fR" 4 -.IX Item "-z lat0 lon0" -use the azimuthal equidistant projection centered at latitude = \fIlat0\fR, -longitude = \fIlon0\fR. The \fB\-w\fR flag can be used to swap the default -order of the 2 coordinates, provided that it appears before \fB\-z\fR. -.IP "\fB\-c\fR \fIlat0\fR \fIlon0\fR" 4 -.IX Item "-c lat0 lon0" -use the Cassini-Soldner projection centered at latitude = \fIlat0\fR, -longitude = \fIlon0\fR. The \fB\-w\fR flag can be used to swap the default -order of the 2 coordinates, provided that it appears before \fB\-c\fR. -.IP "\fB\-g\fR \fIlat0\fR \fIlon0\fR" 4 -.IX Item "-g lat0 lon0" -use the ellipsoidal gnomonic projection centered at latitude = \fIlat0\fR, -longitude = \fIlon0\fR. The \fB\-w\fR flag can be used to swap the default -order of the 2 coordinates, provided that it appears before \fB\-g\fR. -.IP "\fB\-r\fR" 4 -.IX Item "-r" -perform the reverse projection. \fIx\fR and \fIy\fR are given on standard -input and each line of standard output gives \fIlatitude\fR, \fIlongitude\fR, -\&\fIazi\fR, and \fIrk\fR. -.IP "\fB\-e\fR \fIa\fR \fIf\fR" 4 -.IX Item "-e a f" -specify the ellipsoid via the equatorial radius, \fIa\fR and -the flattening, \fIf\fR. Setting \fIf\fR = 0 results in a sphere. Specify -\&\fIf\fR < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for \fIf\fR. By default, the \s-1WGS84\s0 ellipsoid is used, \fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 6). \fIprec\fR is the number -of digits after the decimal point for lengths (in meters). For -latitudes, longitudes, and azimuths (in degrees), the number of digits -after the decimal point is \fIprec\fR + 5. For the scale, the number of -digits after the decimal point is \fIprec\fR + 6. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -.Vb 4 -\& echo 48.648 \-2.007 | GeodesicProj \-c 48.836 2.337 -\& => \-319919 \-11791 86.7 0.999 -\& echo \-319919 \-11791 | GeodesicProj \-c 48.836 2.337 \-r -\& => 48.648 \-2.007 86.7 0.999 -.Ve -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGeodesicProj\fR to return an exit -code of 1. However, an error does not cause \fBGeodesicProj\fR to -terminate; following lines will be converted. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -The ellipsoidal gnomonic projection is derived in Section 8 of -C. F. F. Karney, \fIAlgorithms for geodesics\fR, J. Geodesy 87, 43\-55 (2013); \s-1DOI\s0 -; -addenda: . -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGeodesicProj\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGeodesicProj\fR was added to GeographicLib, -, in 2009\-08. -Prior to version 1.9 it was called EquidistantTest. diff --git a/libs/GeographicLib-1.50.1/man/GeodesicProj.1.html b/libs/GeographicLib-1.50.1/man/GeodesicProj.1.html deleted file mode 100644 index 09ea6d6527186e51c9e9927fa335a97672a4154d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeodesicProj.1.html +++ /dev/null @@ -1,152 +0,0 @@ - - - - -GeodesicProj(1) - - - - - - - - -

NAME

- -

GeodesicProj -- perform projections based on geodesics

- -

SYNOPSIS

- -

GeodesicProj ( -z | -c | -g ) lat0 lon0 [ -r ] [ -e a f ] [ -w ] [ -p prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Perform projections based on geodesics. Convert geodetic coordinates to either azimuthal equidistant, Cassini-Soldner, or gnomonic coordinates. The center of the projection (lat0, lon0) is specified by either the -c option (for Cassini-Soldner), the -z option (for azimuthal equidistant), or the -g option (for gnomonic). At least one of these options must be given (the last one given is used).

- -

Geodetic coordinates are provided on standard input as a set of lines containing (blank separated) latitude and longitude (decimal degrees or degrees, minutes, seconds); for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). For each set of geodetic coordinates, the corresponding projected coordinates x, y (meters) are printed on standard output together with the azimuth azi (degrees) and reciprocal scale rk. For Cassini-Soldner, azi is the bearing of the easting direction and the scale in the easting direction is 1 and the scale in the northing direction is 1/rk. For azimuthal equidistant and gnomonic, azi is the bearing of the radial direction and the scale in the azimuthal direction is 1/rk. For azimuthal equidistant and gnomonic, the scales in the radial direction are 1 and 1/rk^2, respectively.

- -

OPTIONS

- -
- -
-z lat0 lon0
-
- -

use the azimuthal equidistant projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -z.

- -
-
-c lat0 lon0
-
- -

use the Cassini-Soldner projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -c.

- -
-
-g lat0 lon0
-
- -

use the ellipsoidal gnomonic projection centered at latitude = lat0, longitude = lon0. The -w flag can be used to swap the default order of the 2 coordinates, provided that it appears before -g.

- -
-
-r
-
- -

perform the reverse projection. x and y are given on standard input and each line of standard output gives latitude, longitude, azi, and rk.

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec (default 6). prec is the number of digits after the decimal point for lengths (in meters). For latitudes, longitudes, and azimuths (in degrees), the number of digits after the decimal point is prec + 5. For the scale, the number of digits after the decimal point is prec + 6.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

EXAMPLES

- -
   echo 48.648 -2.007 | GeodesicProj -c 48.836 2.337
-   => -319919 -11791 86.7 0.999
-   echo -319919 -11791 | GeodesicProj -c 48.836 2.337 -r
-   => 48.648 -2.007 86.7 0.999
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeodesicProj to return an exit code of 1. However, an error does not cause GeodesicProj to terminate; following lines will be converted.

- -

SEE ALSO

- -

The ellipsoidal gnomonic projection is derived in Section 8 of C. F. F. Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI https://doi.org/10.1007/s00190-012-0578-z; addenda: https://geographiclib.sourceforge.io/geod-addenda.html.

- -

AUTHOR

- -

GeodesicProj was written by Charles Karney.

- -

HISTORY

- -

GeodesicProj was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-08. Prior to version 1.9 it was called EquidistantTest.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/man/GeodesicProj.pod b/libs/GeographicLib-1.50.1/man/GeodesicProj.pod deleted file mode 100644 index 98b67018ac555a1803948be9741bc0541493a367..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeodesicProj.pod +++ /dev/null @@ -1,162 +0,0 @@ -=head1 NAME - -GeodesicProj -- perform projections based on geodesics - -=head1 SYNOPSIS - -B ( B<-z> | B<-c> | B<-g> ) I I [ B<-r> ] -[ B<-e> I I ] [ B<-w> ] [ B<-p> I ] -[ B<--comment-delimiter> I ] -[ B<--version> | B<-h> | B<--help> ] -[ B<--input-file> I | B<--input-string> I ] -[ B<--line-separator> I ] -[ B<--output-file> I ] - -=head1 DESCRIPTION - -Perform projections based on geodesics. Convert geodetic coordinates to -either azimuthal equidistant, Cassini-Soldner, or gnomonic coordinates. -The center of the projection (I, I) is specified by either -the B<-c> option (for Cassini-Soldner), the B<-z> option (for azimuthal -equidistant), or the B<-g> option (for gnomonic). At least one of these -options must be given (the last one given is used). - -Geodetic coordinates are provided on standard input as a set of lines -containing (blank separated) I and I (decimal -degrees or degrees, minutes, seconds); for details on the allowed -formats for latitude and longitude, see the C -section of GeoConvert(1). For each set of geodetic coordinates, the -corresponding projected coordinates I, I (meters) are printed on -standard output together with the azimuth I (degrees) and -reciprocal scale I. For Cassini-Soldner, I is the bearing of -the easting direction and the scale in the easting direction is 1 and -the scale in the northing direction is 1/I. For azimuthal -equidistant and gnomonic, I is the bearing of the radial direction -and the scale in the azimuthal direction is 1/I. For azimuthal -equidistant and gnomonic, the scales in the radial direction are 1 and -1/I^2, respectively. - -=head1 OPTIONS - -=over - -=item B<-z> I I - -use the azimuthal equidistant projection centered at latitude = I, -longitude = I. The B<-w> flag can be used to swap the default -order of the 2 coordinates, provided that it appears before B<-z>. - -=item B<-c> I I - -use the Cassini-Soldner projection centered at latitude = I, -longitude = I. The B<-w> flag can be used to swap the default -order of the 2 coordinates, provided that it appears before B<-c>. - -=item B<-g> I I - -use the ellipsoidal gnomonic projection centered at latitude = I, -longitude = I. The B<-w> flag can be used to swap the default -order of the 2 coordinates, provided that it appears before B<-g>. - -=item B<-r> - -perform the reverse projection. I and I are given on standard -input and each line of standard output gives I, I, -I, and I. - -=item B<-e> I I - -specify the ellipsoid via the equatorial radius, I and -the flattening, I. Setting I = 0 results in a sphere. Specify -I E 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, -is allowed for I. By default, the WGS84 ellipsoid is used, I = -6378137 m, I = 1/298.257223563. - -=item B<-w> - -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, I, I, I, -I). - -=item B<-p> I - -set the output precision to I (default 6). I is the number -of digits after the decimal point for lengths (in meters). For -latitudes, longitudes, and azimuths (in degrees), the number of digits -after the decimal point is I + 5. For the scale, the number of -digits after the decimal point is I + 6. - -=item B<--comment-delimiter> I - -set the comment delimiter to I (e.g., "#" or "//"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). - -=item B<--version> - -print version and exit. - -=item B<-h> - -print usage and exit. - -=item B<--help> - -print full documentation and exit. - -=item B<--input-file> I - -read input from the file I instead of from standard input; a file -name of "-" stands for standard input. - -=item B<--input-string> I - -read input from the string I instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in I are converted to newlines before the reading begins. - -=item B<--line-separator> I - -set the line separator character to I. By default this is a -semicolon. - -=item B<--output-file> I - -write output to the file I instead of to standard output; a -file name of "-" stands for standard output. - -=back - -=head1 EXAMPLES - - echo 48.648 -2.007 | GeodesicProj -c 48.836 2.337 - => -319919 -11791 86.7 0.999 - echo -319919 -11791 | GeodesicProj -c 48.836 2.337 -r - => 48.648 -2.007 86.7 0.999 - -=head1 ERRORS - -An illegal line of input will print an error message to standard output -beginning with C and causes B to return an exit -code of 1. However, an error does not cause B to -terminate; following lines will be converted. - -=head1 SEE ALSO - -The ellipsoidal gnomonic projection is derived in Section 8 of -C. F. F. Karney, I, J. Geodesy 87, 43-55 (2013); DOI -L; -addenda: L. - -=head1 AUTHOR - -B was written by Charles Karney. - -=head1 HISTORY - -B was added to GeographicLib, -L, in 2009-08. -Prior to version 1.9 it was called EquidistantTest. diff --git a/libs/GeographicLib-1.50.1/man/GeodesicProj.usage b/libs/GeographicLib-1.50.1/man/GeodesicProj.usage deleted file mode 100644 index 4ed4c62fb7dcb3ef8a1b3a6f7e238bdcdd84d74d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeodesicProj.usage +++ /dev/null @@ -1,147 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" GeodesicProj ( -z | -c | -g ) lat0 lon0 [ -r ] [ -e a f ] [ -w ] [ -p\n" -" prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ]\n" -" [ --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" GeodesicProj --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/GeodesicProj.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" GeodesicProj -- perform projections based on geodesics\n" -"\n" -"SYNOPSIS\n" -" GeodesicProj ( -z | -c | -g ) lat0 lon0 [ -r ] [ -e a f ] [ -w ] [ -p\n" -" prec ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ]\n" -" [ --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" Perform projections based on geodesics. Convert geodetic coordinates\n" -" to either azimuthal equidistant, Cassini-Soldner, or gnomonic\n" -" coordinates. The center of the projection (lat0, lon0) is specified by\n" -" either the -c option (for Cassini-Soldner), the -z option (for\n" -" azimuthal equidistant), or the -g option (for gnomonic). At least one\n" -" of these options must be given (the last one given is used).\n" -"\n" -" Geodetic coordinates are provided on standard input as a set of lines\n" -" containing (blank separated) latitude and longitude (decimal degrees or\n" -" degrees, minutes, seconds); for details on the allowed formats for\n" -" latitude and longitude, see the \"GEOGRAPHIC COORDINATES\" section of\n" -" GeoConvert(1). For each set of geodetic coordinates, the corresponding\n" -" projected coordinates x, y (meters) are printed on standard output\n" -" together with the azimuth azi (degrees) and reciprocal scale rk. For\n" -" Cassini-Soldner, azi is the bearing of the easting direction and the\n" -" scale in the easting direction is 1 and the scale in the northing\n" -" direction is 1/rk. For azimuthal equidistant and gnomonic, azi is the\n" -" bearing of the radial direction and the scale in the azimuthal\n" -" direction is 1/rk. For azimuthal equidistant and gnomonic, the scales\n" -" in the radial direction are 1 and 1/rk^2, respectively.\n" -"\n" -"OPTIONS\n" -" -z lat0 lon0\n" -" use the azimuthal equidistant projection centered at latitude =\n" -" lat0, longitude = lon0. The -w flag can be used to swap the\n" -" default order of the 2 coordinates, provided that it appears before\n" -" -z.\n" -"\n" -" -c lat0 lon0\n" -" use the Cassini-Soldner projection centered at latitude = lat0,\n" -" longitude = lon0. The -w flag can be used to swap the default\n" -" order of the 2 coordinates, provided that it appears before -c.\n" -"\n" -" -g lat0 lon0\n" -" use the ellipsoidal gnomonic projection centered at latitude =\n" -" lat0, longitude = lon0. The -w flag can be used to swap the\n" -" default order of the 2 coordinates, provided that it appears before\n" -" -g.\n" -"\n" -" -r perform the reverse projection. x and y are given on standard\n" -" input and each line of standard output gives latitude, longitude,\n" -" azi, and rk.\n" -"\n" -" -e a f\n" -" specify the ellipsoid via the equatorial radius, a and the\n" -" flattening, f. Setting f = 0 results in a sphere. Specify f < 0\n" -" for a prolate ellipsoid. A simple fraction, e.g., 1/297, is\n" -" allowed for f. By default, the WGS84 ellipsoid is used, a =\n" -" 6378137 m, f = 1/298.257223563.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec (default 6). prec is the number\n" -" of digits after the decimal point for lengths (in meters). For\n" -" latitudes, longitudes, and azimuths (in degrees), the number of\n" -" digits after the decimal point is prec + 5. For the scale, the\n" -" number of digits after the decimal point is prec + 6.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"EXAMPLES\n" -" echo 48.648 -2.007 | GeodesicProj -c 48.836 2.337\n" -" => -319919 -11791 86.7 0.999\n" -" echo -319919 -11791 | GeodesicProj -c 48.836 2.337 -r\n" -" => 48.648 -2.007 86.7 0.999\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes GeodesicProj to return an exit code\n" -" of 1. However, an error does not cause GeodesicProj to terminate;\n" -" following lines will be converted.\n" -"\n" -"SEE ALSO\n" -" The ellipsoidal gnomonic projection is derived in Section 8 of C. F. F.\n" -" Karney, Algorithms for geodesics, J. Geodesy 87, 43-55 (2013); DOI\n" -" ; addenda:\n" -" .\n" -"\n" -"AUTHOR\n" -" GeodesicProj was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" GeodesicProj was added to GeographicLib,\n" -" , in 2009-08. Prior to version\n" -" 1.9 it was called EquidistantTest.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/man/GeoidEval.1 b/libs/GeographicLib-1.50.1/man/GeoidEval.1 deleted file mode 100644 index 5937f3f302c0cea267d130f3984b8462726d5755..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeoidEval.1 +++ /dev/null @@ -1,416 +0,0 @@ -.\" Automatically generated by Pod::Man 4.12 (Pod::Simple 3.39) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -GeoidEval \-\- look up geoid heights -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGeoidEval\fR [ \fB\-n\fR \fIname\fR ] [ \fB\-d\fR \fIdir\fR ] [ \fB\-l\fR ] -[ \fB\-a\fR | \fB\-c\fR \fIsouth\fR \fIwest\fR \fInorth\fR \fIeast\fR ] [ \fB\-w\fR ] -[ \fB\-z\fR \fIzone\fR ] [ \fB\-\-msltohae\fR ] [ \fB\-\-haetomsl\fR ] -[ \fB\-v\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -\&\fBGeoidEval\fR reads in positions on standard input and prints out the -corresponding heights of the geoid above the \s-1WGS84\s0 ellipsoid on standard -output. -.PP -Positions are given as latitude and longitude, \s-1UTM/UPS,\s0 or \s-1MGRS,\s0 in any -of the formats accepted by \fBGeoConvert\fR\|(1). (\s-1MGRS\s0 coordinates signify the -\&\fIcenter\fR of the corresponding \s-1MGRS\s0 square.) If the \fB\-z\fR option is -specified then the specified zone is prepended to each line of input -(which must be in \s-1UTM/UPS\s0 coordinates). This allows a file with \s-1UTM\s0 -eastings and northings in a single zone to be used as standard input. -.PP -More accurate results for the geoid height are provided by \fBGravity\fR\|(1). -This utility can also compute the direction of gravity accurately. -.PP -The height of the geoid above the ellipsoid, \fIN\fR, is sometimes called -the geoid undulation. It can be used to convert a height above the -ellipsoid, \fIh\fR, to the corresponding height above the geoid (the -orthometric height, roughly the height above mean sea level), \fIH\fR, -using the relations -.Sp -.RS 4 -\&\fIh\fR = \fIN\fR + \fIH\fR, \ \ \fIH\fR = \-\fIN\fR + \fIh\fR. -.RE -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-n\fR \fIname\fR" 4 -.IX Item "-n name" -use geoid \fIname\fR instead of the default \f(CW\*(C`egm96\-5\*(C'\fR. See -\&\*(L"\s-1GEOIDS\*(R"\s0. -.IP "\fB\-d\fR \fIdir\fR" 4 -.IX Item "-d dir" -read geoid data from \fIdir\fR instead of the default. See -\&\*(L"\s-1GEOIDS\*(R"\s0. -.IP "\fB\-l\fR" 4 -.IX Item "-l" -use bilinear interpolation instead of cubic. See -\&\*(L"\s-1INTERPOLATION\*(R"\s0. -.IP "\fB\-a\fR" 4 -.IX Item "-a" -cache the entire data set in memory. See \*(L"\s-1CACHE\*(R"\s0. -.IP "\fB\-c\fR \fIsouth\fR \fIwest\fR \fInorth\fR \fIeast\fR" 4 -.IX Item "-c south west north east" -cache the data bounded by \fIsouth\fR \fIwest\fR \fInorth\fR \fIeast\fR in memory. -The first two arguments specify the \s-1SW\s0 corner of the cache and the last -two arguments specify the \s-1NE\s0 corner. The \fB\-w\fR flag specifies that -longitude precedes latitude for these corners, provided that it appears -before \fB\-c\fR. See \*(L"\s-1CACHE\*(R"\s0. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -when reading geographic coordinates, longitude precedes latitude (this -can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, \fIW\fR). -.IP "\fB\-z\fR \fIzone\fR" 4 -.IX Item "-z zone" -prefix each line of input by \fIzone\fR, e.g., \f(CW\*(C`38n\*(C'\fR. This should be used -when the input consists of \s-1UTM/UPS\s0 eastings and northings. -.IP "\fB\-\-msltohae\fR" 4 -.IX Item "--msltohae" -standard input should include a final token on each line which is -treated as a height (in meters) above the geoid and the output echoes -the input line with the height converted to height above ellipsoid -(\s-1HAE\s0). If \fB\-z\fR \fIzone\fR is specified then the \fIthird\fR token is treated -as the height; this makes it possible to convert \s-1LIDAR\s0 data where each -line consists of: easting northing height intensity. -.IP "\fB\-\-haetomsl\fR" 4 -.IX Item "--haetomsl" -this is similar to \fB\-\-msltohae\fR except that the height token is treated -as a height (in meters) above the ellipsoid and the output echoes the -input line with the height converted to height above the geoid (\s-1MSL\s0). -.IP "\fB\-v\fR" 4 -.IX Item "-v" -print information about the geoid on standard error before processing -the input. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage, the default geoid path and name, and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "GEOIDS" -.IX Header "GEOIDS" -\&\fBGeoidEval\fR computes geoid heights by interpolating on the data in a -regularly spaced table (see \*(L"\s-1INTERPOLATION\*(R"\s0). The following geoid -tables are available (however, some may not be installed): -.PP -.Vb 9 -\& bilinear error cubic error -\& name geoid grid max rms max rms -\& egm84\-30 EGM84 30\*(Aq 1.546 m 70 mm 0.274 m 14 mm -\& egm84\-15 EGM84 15\*(Aq 0.413 m 18 mm 0.021 m 1.2 mm -\& egm96\-15 EGM96 15\*(Aq 1.152 m 40 mm 0.169 m 7.0 mm -\& egm96\-5 EGM96 5\*(Aq 0.140 m 4.6 mm .0032 m 0.7 mm -\& egm2008\-5 EGM2008 5\*(Aq 0.478 m 12 mm 0.294 m 4.5 mm -\& egm2008\-2_5 EGM2008 2.5\*(Aq 0.135 m 3.2 mm 0.031 m 0.8 mm -\& egm2008\-1 EGM2008 1\*(Aq 0.025 m 0.8 mm .0022 m 0.7 mm -.Ve -.PP -By default, the \f(CW\*(C`egm96\-5\*(C'\fR geoid is used. This may changed by setting -the environment variable \f(CW\*(C`GEOGRAPHICLIB_GEOID_NAME\*(C'\fR or with the \fB\-n\fR -option. The errors listed here are estimates of the quantization and -interpolation errors in the reported heights compared to the specified -geoid. -.PP -The geoid data will be loaded from a directory specified at compile -time. This may changed by setting the environment variables -\&\f(CW\*(C`GEOGRAPHICLIB_GEOID_PATH\*(C'\fR or \f(CW\*(C`GEOGRAPHICLIB_DATA\*(C'\fR, or with the \fB\-d\fR -option. The \fB\-h\fR option prints the default geoid path and name. Use -the \fB\-v\fR option to ascertain the full path name of the data file. -.PP -Instructions for downloading and installing geoid data are available at -. -.PP -\&\fB\s-1NOTE\s0\fR: all the geoids above apply to the \s-1WGS84\s0 ellipsoid (\fIa\fR = -6378137 m, \fIf\fR = 1/298.257223563) only. -.SH "INTERPOLATION" -.IX Header "INTERPOLATION" -Cubic interpolation is used to compute the geoid height unless \fB\-l\fR is -specified in which case bilinear interpolation is used. The cubic -interpolation is based on a least-squares fit of a cubic polynomial to a -12\-point stencil -.PP -.Vb 4 -\& . 1 1 . -\& 1 2 2 1 -\& 1 2 2 1 -\& . 1 1 . -.Ve -.PP -The cubic is constrained to be independent of longitude when evaluating -the height at one of the poles. Cubic interpolation is considerably -more accurate than bilinear; however it results in small discontinuities -in the returned height on cell boundaries. -.SH "CACHE" -.IX Header "CACHE" -By default, the data file is randomly read to compute the geoid heights -at the input positions. Usually this is sufficient for interactive use. -If many heights are to be computed, use \fB\-c\fR \fIsouth\fR \fIwest\fR \fInorth\fR -\&\fIeast\fR to notify \fBGeoidEval\fR to read a rectangle of data into memory; -heights within the this rectangle can then be computed without any disk -access. If \fB\-a\fR is specified all the geoid data is read; in the case -of \f(CW\*(C`egm2008\-1\*(C'\fR, this requires about 0.5 \s-1GB\s0 of \s-1RAM.\s0 The evaluation of -heights outside the cached area causes the necessary data to be read -from disk. Use the \fB\-v\fR option to verify the size of the cache. -.PP -Regardless of whether any cache is requested (with the \fB\-a\fR or \fB\-c\fR -options), the data for the last grid cell in cached. This allows -the geoid height along a continuous path to be returned with little -disk overhead. -.SH "ENVIRONMENT" -.IX Header "ENVIRONMENT" -.IP "\fB\s-1GEOGRAPHICLIB_GEOID_NAME\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_GEOID_NAME" -Override the compile-time default geoid name of \f(CW\*(C`egm96\-5\*(C'\fR. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_GEOID_NAME\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-n\fR \fIname\fR -option is used, then \fIname\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_GEOID_PATH\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_GEOID_PATH" -Override the compile-time default geoid path. This is typically -\&\f(CW\*(C`/usr/local/share/GeographicLib/geoids\*(C'\fR on Unix-like systems and -\&\f(CW\*(C`C:/ProgramData/GeographicLib/geoids\*(C'\fR on Windows systems. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_GEOID_PATH\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-d\fR \fIdir\fR option -is used, then \fIdir\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_DATA\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_DATA" -Another way of overriding the compile-time default geoid path. If it -is set (and if \fB\s-1GEOGRAPHICLIB_GEOID_PATH\s0\fR is not set), then -$\fB\s-1GEOGRAPHICLIB_DATA\s0\fR/geoids is used. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGeoidEval\fR to return an exit code -of 1. However, an error does not cause \fBGeoidEval\fR to terminate; -following lines will be converted. -.SH "ABBREVIATIONS" -.IX Header "ABBREVIATIONS" -The geoid is usually approximated by an \*(L"earth gravity model\*(R". The -models published by the \s-1NGA\s0 are: -.IP "\fB\s-1EGM84\s0\fR" 4 -.IX Item "EGM84" -An earth gravity model published by the \s-1NGA\s0 in 1984, -. -.IP "\fB\s-1EGM96\s0\fR" 4 -.IX Item "EGM96" -An earth gravity model published by the \s-1NGA\s0 in 1996, -. -.IP "\fB\s-1EGM2008\s0\fR" 4 -.IX Item "EGM2008" -An earth gravity model published by the \s-1NGA\s0 in 2008, -. -.IP "\fB\s-1WGS84\s0\fR" 4 -.IX Item "WGS84" -World Geodetic System 1984, -. -.IP "\fB\s-1HAE\s0\fR" 4 -.IX Item "HAE" -Height above the \s-1WGS84\s0 ellipsoid. -.IP "\fB\s-1MSL\s0\fR" 4 -.IX Item "MSL" -Mean sea level, used as a convenient short hand for the geoid. -(However, typically, the geoid differs by a few meters from mean sea -level.) -.SH "EXAMPLES" -.IX Header "EXAMPLES" -The height of the \s-1EGM96\s0 geoid at Timbuktu -.PP -.Vb 2 -\& echo 16:46:33N 3:00:34W | GeoidEval -\& => 28.7068 \-0.02e\-6 \-1.73e\-6 -.Ve -.PP -The first number returned is the height of the geoid and the 2nd and 3rd -are its slopes in the northerly and easterly directions. -.PP -Convert a point in \s-1UTM\s0 zone 18n from \s-1MSL\s0 to \s-1HAE\s0 -.PP -.Vb 2 -\& echo 531595 4468135 23 | GeoidEval \-\-msltohae \-z 18n -\& => 531595 4468135 \-10.842 -.Ve -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fBGeoConvert\fR\|(1), \fBGravity\fR\|(1), \fBgeographiclib\-get\-geoids\fR\|(8). -.PP -An online version of this utility is availbable at -. -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGeoidEval\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGeoidEval\fR was added to GeographicLib, -, in 2009\-09. diff --git a/libs/GeographicLib-1.50.1/man/GeoidEval.1.html b/libs/GeographicLib-1.50.1/man/GeoidEval.1.html deleted file mode 100644 index e07edcc79c3dcab68b5ab1bccffca3de1a2ade8d..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeoidEval.1.html +++ /dev/null @@ -1,296 +0,0 @@ - - - - -GeoidEval(1) - - - - - - - - -

NAME

- -

GeoidEval -- look up geoid heights

- -

SYNOPSIS

- -

GeoidEval [ -n name ] [ -d dir ] [ -l ] [ -a | -c south west north east ] [ -w ] [ -z zone ] [ --msltohae ] [ --haetomsl ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

GeoidEval reads in positions on standard input and prints out the corresponding heights of the geoid above the WGS84 ellipsoid on standard output.

- -

Positions are given as latitude and longitude, UTM/UPS, or MGRS, in any of the formats accepted by GeoConvert(1). (MGRS coordinates signify the center of the corresponding MGRS square.) If the -z option is specified then the specified zone is prepended to each line of input (which must be in UTM/UPS coordinates). This allows a file with UTM eastings and northings in a single zone to be used as standard input.

- -

More accurate results for the geoid height are provided by Gravity(1). This utility can also compute the direction of gravity accurately.

- -

The height of the geoid above the ellipsoid, N, is sometimes called the geoid undulation. It can be used to convert a height above the ellipsoid, h, to the corresponding height above the geoid (the orthometric height, roughly the height above mean sea level), H, using the relations

- -
    - -

    h = N + H,   H = -N + h.

    - -
- -

OPTIONS

- - - -

GEOIDS

- -

GeoidEval computes geoid heights by interpolating on the data in a regularly spaced table (see "INTERPOLATION"). The following geoid tables are available (however, some may not be installed):

- -
                                  bilinear error    cubic error
-   name         geoid    grid     max      rms      max      rms
-   egm84-30     EGM84    30'      1.546 m  70 mm    0.274 m  14 mm
-   egm84-15     EGM84    15'      0.413 m  18 mm    0.021 m  1.2 mm
-   egm96-15     EGM96    15'      1.152 m  40 mm    0.169 m  7.0 mm
-   egm96-5      EGM96     5'      0.140 m  4.6 mm   .0032 m  0.7 mm
-   egm2008-5    EGM2008   5'      0.478 m  12 mm    0.294 m  4.5 mm
-   egm2008-2_5  EGM2008   2.5'    0.135 m  3.2 mm   0.031 m  0.8 mm
-   egm2008-1    EGM2008   1'      0.025 m  0.8 mm   .0022 m  0.7 mm
- -

By default, the egm96-5 geoid is used. This may changed by setting the environment variable GEOGRAPHICLIB_GEOID_NAME or with the -n option. The errors listed here are estimates of the quantization and interpolation errors in the reported heights compared to the specified geoid.

- -

The geoid data will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_GEOID_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default geoid path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing geoid data are available at https://geographiclib.sourceforge.io/html/geoid.html#geoidinst.

- -

NOTE: all the geoids above apply to the WGS84 ellipsoid (a = 6378137 m, f = 1/298.257223563) only.

- -

INTERPOLATION

- -

Cubic interpolation is used to compute the geoid height unless -l is specified in which case bilinear interpolation is used. The cubic interpolation is based on a least-squares fit of a cubic polynomial to a 12-point stencil

- -
   . 1 1 .
-   1 2 2 1
-   1 2 2 1
-   . 1 1 .
- -

The cubic is constrained to be independent of longitude when evaluating the height at one of the poles. Cubic interpolation is considerably more accurate than bilinear; however it results in small discontinuities in the returned height on cell boundaries.

- -

CACHE

- -

By default, the data file is randomly read to compute the geoid heights at the input positions. Usually this is sufficient for interactive use. If many heights are to be computed, use -c south west north east to notify GeoidEval to read a rectangle of data into memory; heights within the this rectangle can then be computed without any disk access. If -a is specified all the geoid data is read; in the case of egm2008-1, this requires about 0.5 GB of RAM. The evaluation of heights outside the cached area causes the necessary data to be read from disk. Use the -v option to verify the size of the cache.

- -

Regardless of whether any cache is requested (with the -a or -c options), the data for the last grid cell in cached. This allows the geoid height along a continuous path to be returned with little disk overhead.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_GEOID_NAME
-
- -

Override the compile-time default geoid name of egm96-5. The -h option reports the value of GEOGRAPHICLIB_GEOID_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_GEOID_PATH
-
- -

Override the compile-time default geoid path. This is typically /usr/local/share/GeographicLib/geoids on Unix-like systems and C:/ProgramData/GeographicLib/geoids on Windows systems. The -h option reports the value of GEOGRAPHICLIB_GEOID_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default geoid path. If it is set (and if GEOGRAPHICLIB_GEOID_PATH is not set), then $GEOGRAPHICLIB_DATA/geoids is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes GeoidEval to return an exit code of 1. However, an error does not cause GeoidEval to terminate; following lines will be converted.

- -

ABBREVIATIONS

- -

The geoid is usually approximated by an "earth gravity model". The models published by the NGA are:

- -
- -
EGM84
-
- -

An earth gravity model published by the NGA in 1984, http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html.

- -
-
EGM96
-
- -

An earth gravity model published by the NGA in 1996, http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html.

- -
-
EGM2008
-
- -

An earth gravity model published by the NGA in 2008, http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008.

- -
-
WGS84
-
- -

World Geodetic System 1984, https://en.wikipedia.org/wiki/WGS84.

- -
-
HAE
-
- -

Height above the WGS84 ellipsoid.

- -
-
MSL
-
- -

Mean sea level, used as a convenient short hand for the geoid. (However, typically, the geoid differs by a few meters from mean sea level.)

- -
-
- -

EXAMPLES

- -

The height of the EGM96 geoid at Timbuktu

- -
    echo 16:46:33N 3:00:34W | GeoidEval
-    => 28.7068 -0.02e-6 -1.73e-6
- -

The first number returned is the height of the geoid and the 2nd and 3rd are its slopes in the northerly and easterly directions.

- -

Convert a point in UTM zone 18n from MSL to HAE

- -
   echo 531595 4468135 23 | GeoidEval --msltohae -z 18n
-   => 531595 4468135 -10.842
- -

SEE ALSO

- -

GeoConvert(1), Gravity(1), geographiclib-get-geoids(8).

- -

An online version of this utility is availbable at https://geographiclib.sourceforge.io/cgi-bin/GeoidEval.

- -

AUTHOR

- -

GeoidEval was written by Charles Karney.

- -

HISTORY

- -

GeoidEval was added to GeographicLib, https://geographiclib.sourceforge.io, in 2009-09.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/man/GeoidEval.pod b/libs/GeographicLib-1.50.1/man/GeoidEval.pod deleted file mode 100644 index 438b52847d2dbe410bdfa5a8af2facb568c47337..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeoidEval.pod +++ /dev/null @@ -1,321 +0,0 @@ -=head1 NAME - -GeoidEval -- look up geoid heights - -=head1 SYNOPSIS - -B [ B<-n> I ] [ B<-d> I ] [ B<-l> ] -[ B<-a> | B<-c> I I I I ] [ B<-w> ] -[ B<-z> I ] [ B<--msltohae> ] [ B<--haetomsl> ] -[ B<-v> ] -[ B<--comment-delimiter> I ] -[ B<--version> | B<-h> | B<--help> ] -[ B<--input-file> I | B<--input-string> I ] -[ B<--line-separator> I ] -[ B<--output-file> I ] - -=head1 DESCRIPTION - -B reads in positions on standard input and prints out the -corresponding heights of the geoid above the WGS84 ellipsoid on standard -output. - -Positions are given as latitude and longitude, UTM/UPS, or MGRS, in any -of the formats accepted by GeoConvert(1). (MGRS coordinates signify the -I
of the corresponding MGRS square.) If the B<-z> option is -specified then the specified zone is prepended to each line of input -(which must be in UTM/UPS coordinates). This allows a file with UTM -eastings and northings in a single zone to be used as standard input. - -More accurate results for the geoid height are provided by Gravity(1). -This utility can also compute the direction of gravity accurately. - -The height of the geoid above the ellipsoid, I, is sometimes called -the geoid undulation. It can be used to convert a height above the -ellipsoid, I, to the corresponding height above the geoid (the -orthometric height, roughly the height above mean sea level), I, -using the relations - -=over - -I = I + I, EEI = -I + I. - -=back - -=head1 OPTIONS - -=over - -=item B<-n> I - -use geoid I instead of the default C. See -L. - -=item B<-d> I - -read geoid data from I instead of the default. See -L. - -=item B<-l> - -use bilinear interpolation instead of cubic. See -L. - -=item B<-a> - -cache the entire data set in memory. See L. - -=item B<-c> I I I I - -cache the data bounded by I I I I in memory. -The first two arguments specify the SW corner of the cache and the last -two arguments specify the NE corner. The B<-w> flag specifies that -longitude precedes latitude for these corners, provided that it appears -before B<-c>. See L. - -=item B<-w> - -toggle the longitude first flag (it starts off); if the flag is on, then -when reading geographic coordinates, longitude precedes latitude (this -can be overridden by a hemisphere designator, I, I, I, I). - -=item B<-z> I - -prefix each line of input by I, e.g., C<38n>. This should be used -when the input consists of UTM/UPS eastings and northings. - -=item B<--msltohae> - -standard input should include a final token on each line which is -treated as a height (in meters) above the geoid and the output echoes -the input line with the height converted to height above ellipsoid -(HAE). If B<-z> I is specified then the I token is treated -as the height; this makes it possible to convert LIDAR data where each -line consists of: easting northing height intensity. - -=item B<--haetomsl> - -this is similar to B<--msltohae> except that the height token is treated -as a height (in meters) above the ellipsoid and the output echoes the -input line with the height converted to height above the geoid (MSL). - -=item B<-v> - -print information about the geoid on standard error before processing -the input. - -=item B<--comment-delimiter> I - -set the comment delimiter to I (e.g., "#" or "//"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). - -=item B<--version> - -print version and exit. - -=item B<-h> - -print usage, the default geoid path and name, and exit. - -=item B<--help> - -print full documentation and exit. - -=item B<--input-file> I - -read input from the file I instead of from standard input; a file -name of "-" stands for standard input. - -=item B<--input-string> I - -read input from the string I instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in I are converted to newlines before the reading begins. - -=item B<--line-separator> I - -set the line separator character to I. By default this is a -semicolon. - -=item B<--output-file> I - -write output to the file I instead of to standard output; a -file name of "-" stands for standard output. - -=back - -=head1 GEOIDS - -B computes geoid heights by interpolating on the data in a -regularly spaced table (see L). The following geoid -tables are available (however, some may not be installed): - - bilinear error cubic error - name geoid grid max rms max rms - egm84-30 EGM84 30' 1.546 m 70 mm 0.274 m 14 mm - egm84-15 EGM84 15' 0.413 m 18 mm 0.021 m 1.2 mm - egm96-15 EGM96 15' 1.152 m 40 mm 0.169 m 7.0 mm - egm96-5 EGM96 5' 0.140 m 4.6 mm .0032 m 0.7 mm - egm2008-5 EGM2008 5' 0.478 m 12 mm 0.294 m 4.5 mm - egm2008-2_5 EGM2008 2.5' 0.135 m 3.2 mm 0.031 m 0.8 mm - egm2008-1 EGM2008 1' 0.025 m 0.8 mm .0022 m 0.7 mm - -By default, the C geoid is used. This may changed by setting -the environment variable C or with the B<-n> -option. The errors listed here are estimates of the quantization and -interpolation errors in the reported heights compared to the specified -geoid. - -The geoid data will be loaded from a directory specified at compile -time. This may changed by setting the environment variables -C or C, or with the B<-d> -option. The B<-h> option prints the default geoid path and name. Use -the B<-v> option to ascertain the full path name of the data file. - -Instructions for downloading and installing geoid data are available at -L. - -B: all the geoids above apply to the WGS84 ellipsoid (I = -6378137 m, I = 1/298.257223563) only. - -=head1 INTERPOLATION - -Cubic interpolation is used to compute the geoid height unless B<-l> is -specified in which case bilinear interpolation is used. The cubic -interpolation is based on a least-squares fit of a cubic polynomial to a -12-point stencil - - . 1 1 . - 1 2 2 1 - 1 2 2 1 - . 1 1 . - -The cubic is constrained to be independent of longitude when evaluating -the height at one of the poles. Cubic interpolation is considerably -more accurate than bilinear; however it results in small discontinuities -in the returned height on cell boundaries. - -=head1 CACHE - -By default, the data file is randomly read to compute the geoid heights -at the input positions. Usually this is sufficient for interactive use. -If many heights are to be computed, use B<-c> I I I -I to notify B to read a rectangle of data into memory; -heights within the this rectangle can then be computed without any disk -access. If B<-a> is specified all the geoid data is read; in the case -of C, this requires about 0.5 GB of RAM. The evaluation of -heights outside the cached area causes the necessary data to be read -from disk. Use the B<-v> option to verify the size of the cache. - -Regardless of whether any cache is requested (with the B<-a> or B<-c> -options), the data for the last grid cell in cached. This allows -the geoid height along a continuous path to be returned with little -disk overhead. - -=head1 ENVIRONMENT - -=over - -=item B - -Override the compile-time default geoid name of C. The B<-h> -option reports the value of B, if defined, -otherwise it reports the compile-time value. If the B<-n> I -option is used, then I takes precedence. - -=item B - -Override the compile-time default geoid path. This is typically -C on Unix-like systems and -C on Windows systems. The B<-h> -option reports the value of B, if defined, -otherwise it reports the compile-time value. If the B<-d> I option -is used, then I takes precedence. - -=item B - -Another way of overriding the compile-time default geoid path. If it -is set (and if B is not set), then -$B/geoids is used. - -=back - -=head1 ERRORS - -An illegal line of input will print an error message to standard output -beginning with C and causes B to return an exit code -of 1. However, an error does not cause B to terminate; -following lines will be converted. - -=head1 ABBREVIATIONS - -The geoid is usually approximated by an "earth gravity model". The -models published by the NGA are: - -=over - -=item B - -An earth gravity model published by the NGA in 1984, -L. - -=item B - -An earth gravity model published by the NGA in 1996, -L. - -=item B - -An earth gravity model published by the NGA in 2008, -L. - -=item B - -World Geodetic System 1984, -L. - -=item B - -Height above the WGS84 ellipsoid. - -=item B - -Mean sea level, used as a convenient short hand for the geoid. -(However, typically, the geoid differs by a few meters from mean sea -level.) - -=back - -=head1 EXAMPLES - -The height of the EGM96 geoid at Timbuktu - - echo 16:46:33N 3:00:34W | GeoidEval - => 28.7068 -0.02e-6 -1.73e-6 - -The first number returned is the height of the geoid and the 2nd and 3rd -are its slopes in the northerly and easterly directions. - -Convert a point in UTM zone 18n from MSL to HAE - - echo 531595 4468135 23 | GeoidEval --msltohae -z 18n - => 531595 4468135 -10.842 - -=head1 SEE ALSO - -GeoConvert(1), Gravity(1), geographiclib-get-geoids(8). - -An online version of this utility is availbable at -L. - -=head1 AUTHOR - -B was written by Charles Karney. - -=head1 HISTORY - -B was added to GeographicLib, -L, in 2009-09. diff --git a/libs/GeographicLib-1.50.1/man/GeoidEval.usage b/libs/GeographicLib-1.50.1/man/GeoidEval.usage deleted file mode 100644 index 24a7d0a72b67f7092567e449a3579a70fd3eabe7..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/GeoidEval.usage +++ /dev/null @@ -1,270 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" GeoidEval [ -n name ] [ -d dir ] [ -l ] [ -a | -c south west north east\n" -" ] [ -w ] [ -z zone ] [ --msltohae ] [ --haetomsl ] [ -v ] [\n" -" --comment-delimiter commentdelim ] [ --version | -h | --help ] [\n" -" --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"For full documentation type:\n" -" GeoidEval --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/GeoidEval.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" GeoidEval -- look up geoid heights\n" -"\n" -"SYNOPSIS\n" -" GeoidEval [ -n name ] [ -d dir ] [ -l ] [ -a | -c south west north east\n" -" ] [ -w ] [ -z zone ] [ --msltohae ] [ --haetomsl ] [ -v ] [\n" -" --comment-delimiter commentdelim ] [ --version | -h | --help ] [\n" -" --input-file infile | --input-string instring ] [ --line-separator\n" -" linesep ] [ --output-file outfile ]\n" -"\n" -"DESCRIPTION\n" -" GeoidEval reads in positions on standard input and prints out the\n" -" corresponding heights of the geoid above the WGS84 ellipsoid on\n" -" standard output.\n" -"\n" -" Positions are given as latitude and longitude, UTM/UPS, or MGRS, in any\n" -" of the formats accepted by GeoConvert(1). (MGRS coordinates signify\n" -" the center of the corresponding MGRS square.) If the -z option is\n" -" specified then the specified zone is prepended to each line of input\n" -" (which must be in UTM/UPS coordinates). This allows a file with UTM\n" -" eastings and northings in a single zone to be used as standard input.\n" -"\n" -" More accurate results for the geoid height are provided by Gravity(1).\n" -" This utility can also compute the direction of gravity accurately.\n" -"\n" -" The height of the geoid above the ellipsoid, N, is sometimes called the\n" -" geoid undulation. It can be used to convert a height above the\n" -" ellipsoid, h, to the corresponding height above the geoid (the\n" -" orthometric height, roughly the height above mean sea level), H, using\n" -" the relations\n" -"\n" -" h = N + H, H = -N + h.\n" -"\n" -"OPTIONS\n" -" -n name\n" -" use geoid name instead of the default \"egm96-5\". See \"GEOIDS\".\n" -"\n" -" -d dir\n" -" read geoid data from dir instead of the default. See \"GEOIDS\".\n" -"\n" -" -l use bilinear interpolation instead of cubic. See \"INTERPOLATION\".\n" -"\n" -" -a cache the entire data set in memory. See \"CACHE\".\n" -"\n" -" -c south west north east\n" -" cache the data bounded by south west north east in memory. The\n" -" first two arguments specify the SW corner of the cache and the last\n" -" two arguments specify the NE corner. The -w flag specifies that\n" -" longitude precedes latitude for these corners, provided that it\n" -" appears before -c. See \"CACHE\".\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then when reading geographic coordinates, longitude precedes\n" -" latitude (this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -z zone\n" -" prefix each line of input by zone, e.g., \"38n\". This should be\n" -" used when the input consists of UTM/UPS eastings and northings.\n" -"\n" -" --msltohae\n" -" standard input should include a final token on each line which is\n" -" treated as a height (in meters) above the geoid and the output\n" -" echoes the input line with the height converted to height above\n" -" ellipsoid (HAE). If -z zone is specified then the third token is\n" -" treated as the height; this makes it possible to convert LIDAR data\n" -" where each line consists of: easting northing height intensity.\n" -"\n" -" --haetomsl\n" -" this is similar to --msltohae except that the height token is\n" -" treated as a height (in meters) above the ellipsoid and the output\n" -" echoes the input line with the height converted to height above the\n" -" geoid (MSL).\n" -"\n" -" -v print information about the geoid on standard error before\n" -" processing the input.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage, the default geoid path and name, and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"GEOIDS\n" -" GeoidEval computes geoid heights by interpolating on the data in a\n" -" regularly spaced table (see \"INTERPOLATION\"). The following geoid\n" -" tables are available (however, some may not be installed):\n" -"\n" -" bilinear error cubic error\n" -" name geoid grid max rms max rms\n" -" egm84-30 EGM84 30' 1.546 m 70 mm 0.274 m 14 mm\n" -" egm84-15 EGM84 15' 0.413 m 18 mm 0.021 m 1.2 mm\n" -" egm96-15 EGM96 15' 1.152 m 40 mm 0.169 m 7.0 mm\n" -" egm96-5 EGM96 5' 0.140 m 4.6 mm .0032 m 0.7 mm\n" -" egm2008-5 EGM2008 5' 0.478 m 12 mm 0.294 m 4.5 mm\n" -" egm2008-2_5 EGM2008 2.5' 0.135 m 3.2 mm 0.031 m 0.8 mm\n" -" egm2008-1 EGM2008 1' 0.025 m 0.8 mm .0022 m 0.7 mm\n" -"\n" -" By default, the \"egm96-5\" geoid is used. This may changed by setting\n" -" the environment variable \"GEOGRAPHICLIB_GEOID_NAME\" or with the -n\n" -" option. The errors listed here are estimates of the quantization and\n" -" interpolation errors in the reported heights compared to the specified\n" -" geoid.\n" -"\n" -" The geoid data will be loaded from a directory specified at compile\n" -" time. This may changed by setting the environment variables\n" -" \"GEOGRAPHICLIB_GEOID_PATH\" or \"GEOGRAPHICLIB_DATA\", or with the -d\n" -" option. The -h option prints the default geoid path and name. Use the\n" -" -v option to ascertain the full path name of the data file.\n" -"\n" -" Instructions for downloading and installing geoid data are available at\n" -" .\n" -"\n" -" NOTE: all the geoids above apply to the WGS84 ellipsoid (a = 6378137 m,\n" -" f = 1/298.257223563) only.\n" -"\n" -"INTERPOLATION\n" -" Cubic interpolation is used to compute the geoid height unless -l is\n" -" specified in which case bilinear interpolation is used. The cubic\n" -" interpolation is based on a least-squares fit of a cubic polynomial to\n" -" a 12-point stencil\n" -"\n" -" . 1 1 .\n" -" 1 2 2 1\n" -" 1 2 2 1\n" -" . 1 1 .\n" -"\n" -" The cubic is constrained to be independent of longitude when evaluating\n" -" the height at one of the poles. Cubic interpolation is considerably\n" -" more accurate than bilinear; however it results in small\n" -" discontinuities in the returned height on cell boundaries.\n" -"\n" -"CACHE\n" -" By default, the data file is randomly read to compute the geoid heights\n" -" at the input positions. Usually this is sufficient for interactive\n" -" use. If many heights are to be computed, use -c south west north east\n" -" to notify GeoidEval to read a rectangle of data into memory; heights\n" -" within the this rectangle can then be computed without any disk access.\n" -" If -a is specified all the geoid data is read; in the case of\n" -" \"egm2008-1\", this requires about 0.5 GB of RAM. The evaluation of\n" -" heights outside the cached area causes the necessary data to be read\n" -" from disk. Use the -v option to verify the size of the cache.\n" -"\n" -" Regardless of whether any cache is requested (with the -a or -c\n" -" options), the data for the last grid cell in cached. This allows the\n" -" geoid height along a continuous path to be returned with little disk\n" -" overhead.\n" -"\n" -"ENVIRONMENT\n" -" GEOGRAPHICLIB_GEOID_NAME\n" -" Override the compile-time default geoid name of \"egm96-5\". The -h\n" -" option reports the value of GEOGRAPHICLIB_GEOID_NAME, if defined,\n" -" otherwise it reports the compile-time value. If the -n name option\n" -" is used, then name takes precedence.\n" -"\n" -" GEOGRAPHICLIB_GEOID_PATH\n" -" Override the compile-time default geoid path. This is typically\n" -" \"/usr/local/share/GeographicLib/geoids\" on Unix-like systems and\n" -" \"C:/ProgramData/GeographicLib/geoids\" on Windows systems. The -h\n" -" option reports the value of GEOGRAPHICLIB_GEOID_PATH, if defined,\n" -" otherwise it reports the compile-time value. If the -d dir option\n" -" is used, then dir takes precedence.\n" -"\n" -" GEOGRAPHICLIB_DATA\n" -" Another way of overriding the compile-time default geoid path. If\n" -" it is set (and if GEOGRAPHICLIB_GEOID_PATH is not set), then\n" -" $GEOGRAPHICLIB_DATA/geoids is used.\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes GeoidEval to return an exit code of\n" -" 1. However, an error does not cause GeoidEval to terminate; following\n" -" lines will be converted.\n" -"\n" -"ABBREVIATIONS\n" -" The geoid is usually approximated by an \"earth gravity model\". The\n" -" models published by the NGA are:\n" -"\n" -" EGM84\n" -" An earth gravity model published by the NGA in 1984,\n" -" .\n" -"\n" -" EGM96\n" -" An earth gravity model published by the NGA in 1996,\n" -" .\n" -"\n" -" EGM2008\n" -" An earth gravity model published by the NGA in 2008,\n" -" .\n" -"\n" -" WGS84\n" -" World Geodetic System 1984, .\n" -"\n" -" HAE Height above the WGS84 ellipsoid.\n" -"\n" -" MSL Mean sea level, used as a convenient short hand for the geoid.\n" -" (However, typically, the geoid differs by a few meters from mean\n" -" sea level.)\n" -"\n" -"EXAMPLES\n" -" The height of the EGM96 geoid at Timbuktu\n" -"\n" -" echo 16:46:33N 3:00:34W | GeoidEval\n" -" => 28.7068 -0.02e-6 -1.73e-6\n" -"\n" -" The first number returned is the height of the geoid and the 2nd and\n" -" 3rd are its slopes in the northerly and easterly directions.\n" -"\n" -" Convert a point in UTM zone 18n from MSL to HAE\n" -"\n" -" echo 531595 4468135 23 | GeoidEval --msltohae -z 18n\n" -" => 531595 4468135 -10.842\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1), Gravity(1), geographiclib-get-geoids(8).\n" -"\n" -" An online version of this utility is availbable at\n" -" .\n" -"\n" -"AUTHOR\n" -" GeoidEval was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" GeoidEval was added to GeographicLib,\n" -" , in 2009-09.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/man/Gravity.1 b/libs/GeographicLib-1.50.1/man/Gravity.1 deleted file mode 100644 index d4e5198ffda03e53f8d411f84ea9c2f3f77eb4a5..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/Gravity.1 +++ /dev/null @@ -1,354 +0,0 @@ -.\" Automatically generated by Pod::Man 4.12 (Pod::Simple 3.39) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -Gravity \-\- compute the earth's gravity field -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBGravity\fR [ \fB\-n\fR \fIname\fR ] [ \fB\-d\fR \fIdir\fR ] -[ \fB\-N\fR \fINmax\fR ] [ \fB\-M\fR \fIMmax\fR ] -[ \fB\-G\fR | \fB\-D\fR | \fB\-A\fR | \fB\-H\fR ] [ \fB\-c\fR \fIlat\fR \fIh\fR ] -[ \fB\-w\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-v\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -\&\fBGravity\fR reads in positions on standard input and prints out the -gravitational field on standard output. -.PP -The input line is of the form \fIlat\fR \fIlon\fR \fIh\fR. \fIlat\fR and \fIlon\fR are -the latitude and longitude expressed as decimal degrees or degrees, -minutes, and seconds; for details on the allowed formats for latitude -and longitude, see the \f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR section of -\&\fBGeoConvert\fR\|(1). \fIh\fR is the height above the ellipsoid in meters; this -quantity is optional and defaults to 0. Alternatively, the gravity -field can be computed at various points on a circle of latitude -(constant \fIlat\fR and \fIh\fR) via the \fB\-c\fR option; in this case only the -longitude should be given on the input lines. The quantities printed -out are governed by the \fB\-G\fR (default), \fB\-D\fR, \fB\-A\fR, or \fB\-H\fR options. -.PP -All the supported gravity models, except for grs80, use \s-1WGS84\s0 as the -reference ellipsoid \fIa\fR = 6378137 m, \fIf\fR = 1/298.257223563, \fIomega\fR = -7292115e\-11 rad/s, and \fI\s-1GM\s0\fR = 3986004.418e8 m^3/s^2. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-n\fR \fIname\fR" 4 -.IX Item "-n name" -use gravity field model \fIname\fR instead of the default \f(CW\*(C`egm96\*(C'\fR. See -\&\*(L"\s-1MODELS\*(R"\s0. -.IP "\fB\-d\fR \fIdir\fR" 4 -.IX Item "-d dir" -read gravity models from \fIdir\fR instead of the default. See -\&\*(L"\s-1MODELS\*(R"\s0. -.IP "\fB\-N\fR \fINmax\fR" 4 -.IX Item "-N Nmax" -limit the degree of the model to \fINmax\fR. -.IP "\fB\-M\fR \fIMmax\fR" 4 -.IX Item "-M Mmax" -limit the order of the model to \fIMmax\fR. -.IP "\fB\-G\fR" 4 -.IX Item "-G" -compute the acceleration due to gravity (including the centrifugal -acceleration due the the earth's rotation) \fBg\fR. The output consists of -\&\fIgx\fR \fIgy\fR \fIgz\fR (all in m/s^2), where the \fIx\fR, \fIy\fR, and \fIz\fR -components are in easterly, northerly, and up directions, respectively. -Usually \fIgz\fR is negative. -.IP "\fB\-D\fR" 4 -.IX Item "-D" -compute the gravity disturbance \fBdelta\fR = \fBg\fR \- \fBgamma\fR, where -\&\fBgamma\fR is the \*(L"normal\*(R" gravity due to the reference ellipsoid . The -output consists of \fIdeltax\fR \fIdeltay\fR \fIdeltaz\fR (all in mGal, 1 mGal = -10^\-5 m/s^2), where the \fIx\fR, \fIy\fR, and \fIz\fR components are in easterly, -northerly, and up directions, respectively. Note that \fIdeltax\fR = -\&\fIgx\fR, because \fIgammax\fR = 0. -.IP "\fB\-A\fR" 4 -.IX Item "-A" -computes the gravitational anomaly. The output consists of 3 items -\&\fIDg01\fR \fIxi\fR \fIeta\fR, where \fIDg01\fR is in mGal (1 mGal = 10^\-5 m/s^2) -and \fIxi\fR and \fIeta\fR are in arcseconds. The gravitational anomaly -compares the gravitational field \fBg\fR at \fIP\fR with the normal gravity -\&\fBgamma\fR at \fIQ\fR where the \fIP\fR is vertically above \fIQ\fR and the -gravitational potential at \fIP\fR equals the normal potential at \fIQ\fR. -\&\fIDg01\fR gives the difference in the magnitudes of these two vectors and -\&\fIxi\fR and \fIeta\fR give the difference in their directions (as northerly -and easterly components). The calculation uses a spherical -approximation to match the results of the \s-1NGA\s0's synthesis programs. -.IP "\fB\-H\fR" 4 -.IX Item "-H" -compute the height of the geoid above the reference ellipsoid (in -meters). In this case, \fIh\fR should be zero. The results accurately -match the results of the \s-1NGA\s0's synthesis programs. \fBGeoidEval\fR\|(1) can -compute geoid heights much more quickly by interpolating on a grid of -precomputed results; however the results from \fBGeoidEval\fR\|(1) are only -accurate to a few millimeters. -.IP "\fB\-c\fR \fIlat\fR \fIh\fR" 4 -.IX Item "-c lat h" -evaluate the field on a circle of latitude given by \fIlat\fR and \fIh\fR -instead of reading these quantities from the input lines. In this case, -\&\fBGravity\fR can calculate the field considerably more quickly. If geoid -heights are being computed (the \fB\-H\fR option), then \fIh\fR must be zero. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR. By default \fIprec\fR is 5 for -acceleration due to gravity, 3 for the gravity disturbance and anomaly, -and 4 for the geoid height. -.IP "\fB\-v\fR" 4 -.IX Item "-v" -print information about the gravity model on standard error before -processing the input. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage, the default gravity path and name, and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "MODELS" -.IX Header "MODELS" -\&\fBGravity\fR computes the gravity field using one of the following models -.PP -.Vb 10 -\& egm84, earth gravity model 1984. See -\& http://earth\-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html -\& egm96, earth gravity model 1996. See -\& http://earth\-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html -\& egm2008, earth gravity model 2008. See -\& http://earth\-info.nga.mil/GandG/wgs84/gravitymod/egm2008 -\& wgs84, world geodetic system 1984. This returns the normal -\& gravity for the WGS84 ellipsoid. -\& grs80, geodetic reference system 1980. This returns the normal -\& gravity for the GRS80 ellipsoid. -.Ve -.PP -These models approximate the gravitation field above the surface of the -earth. By default, the \f(CW\*(C`egm96\*(C'\fR gravity model is used. This may -changed by setting the environment variable -\&\f(CW\*(C`GEOGRAPHICLIB_GRAVITY_NAME\*(C'\fR or with the \fB\-n\fR option. -.PP -The gravity models will be loaded from a directory specified at compile -time. This may changed by setting the environment variables -\&\f(CW\*(C`GEOGRAPHICLIB_GRAVITY_PATH\*(C'\fR or \f(CW\*(C`GEOGRAPHICLIB_DATA\*(C'\fR, or with the -\&\fB\-d\fR option. The \fB\-h\fR option prints the default gravity path and -name. Use the \fB\-v\fR option to ascertain the full path name of the data -file. -.PP -Instructions for downloading and installing gravity models are available -at . -.SH "ENVIRONMENT" -.IX Header "ENVIRONMENT" -.IP "\fB\s-1GEOGRAPHICLIB_GRAVITY_NAME\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_GRAVITY_NAME" -Override the compile-time default gravity name of \f(CW\*(C`egm96\*(C'\fR. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_GRAVITY_NAME\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-n\fR \fIname\fR -option is used, then \fIname\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_GRAVITY_PATH\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_GRAVITY_PATH" -Override the compile-time default gravity path. This is typically -\&\f(CW\*(C`/usr/local/share/GeographicLib/gravity\*(C'\fR on Unix-like systems and -\&\f(CW\*(C`C:/ProgramData/GeographicLib/gravity\*(C'\fR on Windows systems. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_GRAVITY_PATH\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-d\fR \fIdir\fR option -is used, then \fIdir\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_DATA\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_DATA" -Another way of overriding the compile-time default gravity path. If it -is set (and if \fB\s-1GEOGRAPHICLIB_GRAVITY_PATH\s0\fR is not set), then -$\fB\s-1GEOGRAPHICLIB_DATA\s0\fR/gravity is used. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBGravity\fR to return an exit -code of 1. However, an error does not cause \fBGravity\fR to -terminate; following lines will be converted. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -The gravity field from \s-1EGM2008\s0 at the top of Mount Everest -.PP -.Vb 2 -\& echo 27:59:17N 86:55:32E 8820 | Gravity \-n egm2008 -\& => \-0.00001 0.00103 \-9.76782 -.Ve -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fBGeoConvert\fR\|(1), \fBGeoidEval\fR\|(1), \fBgeographiclib\-get\-gravity\fR\|(8). -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBGravity\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBGravity\fR was added to GeographicLib, , -in version 1.16. diff --git a/libs/GeographicLib-1.50.1/man/Gravity.1.html b/libs/GeographicLib-1.50.1/man/Gravity.1.html deleted file mode 100644 index 092b6e76b227d317b0bed2045dbfb2270bb97959..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/Gravity.1.html +++ /dev/null @@ -1,229 +0,0 @@ - - - - -Gravity(1) - - - - - - - - -

NAME

- -

Gravity -- compute the earth's gravity field

- -

SYNOPSIS

- -

Gravity [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -G | -D | -A | -H ] [ -c lat h ] [ -w ] [ -p prec ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

Gravity reads in positions on standard input and prints out the gravitational field on standard output.

- -

The input line is of the form lat lon h. lat and lon are the latitude and longitude expressed as decimal degrees or degrees, minutes, and seconds; for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). h is the height above the ellipsoid in meters; this quantity is optional and defaults to 0. Alternatively, the gravity field can be computed at various points on a circle of latitude (constant lat and h) via the -c option; in this case only the longitude should be given on the input lines. The quantities printed out are governed by the -G (default), -D, -A, or -H options.

- -

All the supported gravity models, except for grs80, use WGS84 as the reference ellipsoid a = 6378137 m, f = 1/298.257223563, omega = 7292115e-11 rad/s, and GM = 3986004.418e8 m^3/s^2.

- -

OPTIONS

- -
- -
-n name
-
- -

use gravity field model name instead of the default egm96. See "MODELS".

- -
-
-d dir
-
- -

read gravity models from dir instead of the default. See "MODELS".

- -
-
-N Nmax
-
- -

limit the degree of the model to Nmax.

- -
-
-M Mmax
-
- -

limit the order of the model to Mmax.

- -
-
-G
-
- -

compute the acceleration due to gravity (including the centrifugal acceleration due the the earth's rotation) g. The output consists of gx gy gz (all in m/s^2), where the x, y, and z components are in easterly, northerly, and up directions, respectively. Usually gz is negative.

- -
-
-D
-
- -

compute the gravity disturbance delta = g - gamma, where gamma is the "normal" gravity due to the reference ellipsoid . The output consists of deltax deltay deltaz (all in mGal, 1 mGal = 10^-5 m/s^2), where the x, y, and z components are in easterly, northerly, and up directions, respectively. Note that deltax = gx, because gammax = 0.

- -
-
-A
-
- -

computes the gravitational anomaly. The output consists of 3 items Dg01 xi eta, where Dg01 is in mGal (1 mGal = 10^-5 m/s^2) and xi and eta are in arcseconds. The gravitational anomaly compares the gravitational field g at P with the normal gravity gamma at Q where the P is vertically above Q and the gravitational potential at P equals the normal potential at Q. Dg01 gives the difference in the magnitudes of these two vectors and xi and eta give the difference in their directions (as northerly and easterly components). The calculation uses a spherical approximation to match the results of the NGA's synthesis programs.

- -
-
-H
-
- -

compute the height of the geoid above the reference ellipsoid (in meters). In this case, h should be zero. The results accurately match the results of the NGA's synthesis programs. GeoidEval(1) can compute geoid heights much more quickly by interpolating on a grid of precomputed results; however the results from GeoidEval(1) are only accurate to a few millimeters.

- -
-
-c lat h
-
- -

evaluate the field on a circle of latitude given by lat and h instead of reading these quantities from the input lines. In this case, Gravity can calculate the field considerably more quickly. If geoid heights are being computed (the -H option), then h must be zero.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-p prec
-
- -

set the output precision to prec. By default prec is 5 for acceleration due to gravity, 3 for the gravity disturbance and anomaly, and 4 for the geoid height.

- -
-
-v
-
- -

print information about the gravity model on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default gravity path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

MODELS

- -

Gravity computes the gravity field using one of the following models

- -
    egm84, earth gravity model 1984.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html
-    egm96, earth gravity model 1996.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html
-    egm2008, earth gravity model 2008.  See
-      http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008
-    wgs84, world geodetic system 1984.  This returns the normal
-      gravity for the WGS84 ellipsoid.
-    grs80, geodetic reference system 1980.  This returns the normal
-      gravity for the GRS80 ellipsoid.
- -

These models approximate the gravitation field above the surface of the earth. By default, the egm96 gravity model is used. This may changed by setting the environment variable GEOGRAPHICLIB_GRAVITY_NAME or with the -n option.

- -

The gravity models will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_GRAVITY_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default gravity path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing gravity models are available at https://geographiclib.sourceforge.io/html/gravity.html#gravityinst.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_GRAVITY_NAME
-
- -

Override the compile-time default gravity name of egm96. The -h option reports the value of GEOGRAPHICLIB_GRAVITY_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_GRAVITY_PATH
-
- -

Override the compile-time default gravity path. This is typically /usr/local/share/GeographicLib/gravity on Unix-like systems and C:/ProgramData/GeographicLib/gravity on Windows systems. The -h option reports the value of GEOGRAPHICLIB_GRAVITY_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default gravity path. If it is set (and if GEOGRAPHICLIB_GRAVITY_PATH is not set), then $GEOGRAPHICLIB_DATA/gravity is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes Gravity to return an exit code of 1. However, an error does not cause Gravity to terminate; following lines will be converted.

- -

EXAMPLES

- -

The gravity field from EGM2008 at the top of Mount Everest

- -
    echo 27:59:17N 86:55:32E 8820 | Gravity -n egm2008
-    => -0.00001 0.00103 -9.76782
- -

SEE ALSO

- -

GeoConvert(1), GeoidEval(1), geographiclib-get-gravity(8).

- -

AUTHOR

- -

Gravity was written by Charles Karney.

- -

HISTORY

- -

Gravity was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.16.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/man/Gravity.pod b/libs/GeographicLib-1.50.1/man/Gravity.pod deleted file mode 100644 index a8a1729f82a234fd226a4087c6c99ba1849e4d88..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/Gravity.pod +++ /dev/null @@ -1,250 +0,0 @@ -=head1 NAME - -Gravity -- compute the earth's gravity field - -=head1 SYNOPSIS - -B [ B<-n> I ] [ B<-d> I ] -[ B<-N> I ] [ B<-M> I ] -[ B<-G> | B<-D> | B<-A> | B<-H> ] [ B<-c> I I ] -[ B<-w> ] [ B<-p> I ] -[ B<-v> ] -[ B<--comment-delimiter> I ] -[ B<--version> | B<-h> | B<--help> ] -[ B<--input-file> I | B<--input-string> I ] -[ B<--line-separator> I ] -[ B<--output-file> I ] - -=head1 DESCRIPTION - -B reads in positions on standard input and prints out the -gravitational field on standard output. - -The input line is of the form I I I. I and I are -the latitude and longitude expressed as decimal degrees or degrees, -minutes, and seconds; for details on the allowed formats for latitude -and longitude, see the C section of -GeoConvert(1). I is the height above the ellipsoid in meters; this -quantity is optional and defaults to 0. Alternatively, the gravity -field can be computed at various points on a circle of latitude -(constant I and I) via the B<-c> option; in this case only the -longitude should be given on the input lines. The quantities printed -out are governed by the B<-G> (default), B<-D>, B<-A>, or B<-H> options. - -All the supported gravity models, except for grs80, use WGS84 as the -reference ellipsoid I = 6378137 m, I = 1/298.257223563, I = -7292115e-11 rad/s, and I = 3986004.418e8 m^3/s^2. - -=head1 OPTIONS - -=over - -=item B<-n> I - -use gravity field model I instead of the default C. See -L. - -=item B<-d> I - -read gravity models from I instead of the default. See -L. - -=item B<-N> I - -limit the degree of the model to I. - -=item B<-M> I - -limit the order of the model to I. - -=item B<-G> - -compute the acceleration due to gravity (including the centrifugal -acceleration due the the earth's rotation) B. The output consists of -I I I (all in m/s^2), where the I, I, and I -components are in easterly, northerly, and up directions, respectively. -Usually I is negative. - -=item B<-D> - -compute the gravity disturbance B = B - B, where -B is the "normal" gravity due to the reference ellipsoid . The -output consists of I I I (all in mGal, 1 mGal = -10^-5 m/s^2), where the I, I, and I components are in easterly, -northerly, and up directions, respectively. Note that I = -I, because I = 0. - -=item B<-A> - -computes the gravitational anomaly. The output consists of 3 items -I I I, where I is in mGal (1 mGal = 10^-5 m/s^2) -and I and I are in arcseconds. The gravitational anomaly -compares the gravitational field B at I

with the normal gravity -B at I where the I

is vertically above I and the -gravitational potential at I

equals the normal potential at I. -I gives the difference in the magnitudes of these two vectors and -I and I give the difference in their directions (as northerly -and easterly components). The calculation uses a spherical -approximation to match the results of the NGA's synthesis programs. - -=item B<-H> - -compute the height of the geoid above the reference ellipsoid (in -meters). In this case, I should be zero. The results accurately -match the results of the NGA's synthesis programs. GeoidEval(1) can -compute geoid heights much more quickly by interpolating on a grid of -precomputed results; however the results from GeoidEval(1) are only -accurate to a few millimeters. - -=item B<-c> I I - -evaluate the field on a circle of latitude given by I and I -instead of reading these quantities from the input lines. In this case, -B can calculate the field considerably more quickly. If geoid -heights are being computed (the B<-H> option), then I must be zero. - -=item B<-w> - -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, I, I, I, -I). - -=item B<-p> I - -set the output precision to I. By default I is 5 for -acceleration due to gravity, 3 for the gravity disturbance and anomaly, -and 4 for the geoid height. - -=item B<-v> - -print information about the gravity model on standard error before -processing the input. - -=item B<--comment-delimiter> I - -set the comment delimiter to I (e.g., "#" or "//"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). - -=item B<--version> - -print version and exit. - -=item B<-h> - -print usage, the default gravity path and name, and exit. - -=item B<--help> - -print full documentation and exit. - -=item B<--input-file> I - -read input from the file I instead of from standard input; a file -name of "-" stands for standard input. - -=item B<--input-string> I - -read input from the string I instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in I are converted to newlines before the reading begins. - -=item B<--line-separator> I - -set the line separator character to I. By default this is a -semicolon. - -=item B<--output-file> I - -write output to the file I instead of to standard output; a -file name of "-" stands for standard output. - -=back - -=head1 MODELS - -B computes the gravity field using one of the following models - - egm84, earth gravity model 1984. See - http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html - egm96, earth gravity model 1996. See - http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html - egm2008, earth gravity model 2008. See - http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008 - wgs84, world geodetic system 1984. This returns the normal - gravity for the WGS84 ellipsoid. - grs80, geodetic reference system 1980. This returns the normal - gravity for the GRS80 ellipsoid. - -These models approximate the gravitation field above the surface of the -earth. By default, the C gravity model is used. This may -changed by setting the environment variable -C or with the B<-n> option. - -The gravity models will be loaded from a directory specified at compile -time. This may changed by setting the environment variables -C or C, or with the -B<-d> option. The B<-h> option prints the default gravity path and -name. Use the B<-v> option to ascertain the full path name of the data -file. - -Instructions for downloading and installing gravity models are available -at L. - -=head1 ENVIRONMENT - -=over - -=item B - -Override the compile-time default gravity name of C. The B<-h> -option reports the value of B, if defined, -otherwise it reports the compile-time value. If the B<-n> I -option is used, then I takes precedence. - -=item B - -Override the compile-time default gravity path. This is typically -C on Unix-like systems and -C on Windows systems. The B<-h> -option reports the value of B, if defined, -otherwise it reports the compile-time value. If the B<-d> I

 option -is used, then I takes precedence. - -=item B - -Another way of overriding the compile-time default gravity path. If it -is set (and if B is not set), then -$B/gravity is used. - -=back - -=head1 ERRORS - -An illegal line of input will print an error message to standard output -beginning with C and causes B to return an exit -code of 1. However, an error does not cause B to -terminate; following lines will be converted. - -=head1 EXAMPLES - -The gravity field from EGM2008 at the top of Mount Everest - - echo 27:59:17N 86:55:32E 8820 | Gravity -n egm2008 - => -0.00001 0.00103 -9.76782 - -=head1 SEE ALSO - -GeoConvert(1), GeoidEval(1), geographiclib-get-gravity(8). - -=head1 AUTHOR - -B was written by Charles Karney. - -=head1 HISTORY - -B was added to GeographicLib, L, -in version 1.16. diff --git a/libs/GeographicLib-1.50.1/man/Gravity.usage b/libs/GeographicLib-1.50.1/man/Gravity.usage deleted file mode 100644 index 685dfadb5f06410ecc99b2a16d6e09aca77ab477..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/Gravity.usage +++ /dev/null @@ -1,215 +0,0 @@ -int usage(int retval, bool brief) { - if (brief) - ( retval ? std::cerr : std::cout ) << "Usage:\n" -" Gravity [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -G | -D | -A |\n" -" -H ] [ -c lat h ] [ -w ] [ -p prec ] [ -v ] [ --comment-delimiter\n" -" commentdelim ] [ --version | -h | --help ] [ --input-file infile |\n" -" --input-string instring ] [ --line-separator linesep ] [ --output-file\n" -" outfile ]\n" -"\n" -"For full documentation type:\n" -" Gravity --help\n" -"or visit:\n" -" https://geographiclib.sourceforge.io/1.50.1/Gravity.1.html\n"; - else - ( retval ? std::cerr : std::cout ) << "Man page:\n" -"NAME\n" -" Gravity -- compute the earth's gravity field\n" -"\n" -"SYNOPSIS\n" -" Gravity [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -G | -D | -A |\n" -" -H ] [ -c lat h ] [ -w ] [ -p prec ] [ -v ] [ --comment-delimiter\n" -" commentdelim ] [ --version | -h | --help ] [ --input-file infile |\n" -" --input-string instring ] [ --line-separator linesep ] [ --output-file\n" -" outfile ]\n" -"\n" -"DESCRIPTION\n" -" Gravity reads in positions on standard input and prints out the\n" -" gravitational field on standard output.\n" -"\n" -" The input line is of the form lat lon h. lat and lon are the latitude\n" -" and longitude expressed as decimal degrees or degrees, minutes, and\n" -" seconds; for details on the allowed formats for latitude and longitude,\n" -" see the \"GEOGRAPHIC COORDINATES\" section of GeoConvert(1). h is the\n" -" height above the ellipsoid in meters; this quantity is optional and\n" -" defaults to 0. Alternatively, the gravity field can be computed at\n" -" various points on a circle of latitude (constant lat and h) via the -c\n" -" option; in this case only the longitude should be given on the input\n" -" lines. The quantities printed out are governed by the -G (default),\n" -" -D, -A, or -H options.\n" -"\n" -" All the supported gravity models, except for grs80, use WGS84 as the\n" -" reference ellipsoid a = 6378137 m, f = 1/298.257223563, omega =\n" -" 7292115e-11 rad/s, and GM = 3986004.418e8 m^3/s^2.\n" -"\n" -"OPTIONS\n" -" -n name\n" -" use gravity field model name instead of the default \"egm96\". See\n" -" \"MODELS\".\n" -"\n" -" -d dir\n" -" read gravity models from dir instead of the default. See \"MODELS\".\n" -"\n" -" -N Nmax\n" -" limit the degree of the model to Nmax.\n" -"\n" -" -M Mmax\n" -" limit the order of the model to Mmax.\n" -"\n" -" -G compute the acceleration due to gravity (including the centrifugal\n" -" acceleration due the the earth's rotation) g. The output consists\n" -" of gx gy gz (all in m/s^2), where the x, y, and z components are in\n" -" easterly, northerly, and up directions, respectively. Usually gz\n" -" is negative.\n" -"\n" -" -D compute the gravity disturbance delta = g - gamma, where gamma is\n" -" the \"normal\" gravity due to the reference ellipsoid . The output\n" -" consists of deltax deltay deltaz (all in mGal, 1 mGal = 10^-5\n" -" m/s^2), where the x, y, and z components are in easterly,\n" -" northerly, and up directions, respectively. Note that deltax = gx,\n" -" because gammax = 0.\n" -"\n" -" -A computes the gravitational anomaly. The output consists of 3 items\n" -" Dg01 xi eta, where Dg01 is in mGal (1 mGal = 10^-5 m/s^2) and xi\n" -" and eta are in arcseconds. The gravitational anomaly compares the\n" -" gravitational field g at P with the normal gravity gamma at Q where\n" -" the P is vertically above Q and the gravitational potential at P\n" -" equals the normal potential at Q. Dg01 gives the difference in the\n" -" magnitudes of these two vectors and xi and eta give the difference\n" -" in their directions (as northerly and easterly components). The\n" -" calculation uses a spherical approximation to match the results of\n" -" the NGA's synthesis programs.\n" -"\n" -" -H compute the height of the geoid above the reference ellipsoid (in\n" -" meters). In this case, h should be zero. The results accurately\n" -" match the results of the NGA's synthesis programs. GeoidEval(1)\n" -" can compute geoid heights much more quickly by interpolating on a\n" -" grid of precomputed results; however the results from GeoidEval(1)\n" -" are only accurate to a few millimeters.\n" -"\n" -" -c lat h\n" -" evaluate the field on a circle of latitude given by lat and h\n" -" instead of reading these quantities from the input lines. In this\n" -" case, Gravity can calculate the field considerably more quickly.\n" -" If geoid heights are being computed (the -H option), then h must be\n" -" zero.\n" -"\n" -" -w toggle the longitude first flag (it starts off); if the flag is on,\n" -" then on input and output, longitude precedes latitude (except that,\n" -" on input, this can be overridden by a hemisphere designator, N, S,\n" -" E, W).\n" -"\n" -" -p prec\n" -" set the output precision to prec. By default prec is 5 for\n" -" acceleration due to gravity, 3 for the gravity disturbance and\n" -" anomaly, and 4 for the geoid height.\n" -"\n" -" -v print information about the gravity model on standard error before\n" -" processing the input.\n" -"\n" -" --comment-delimiter commentdelim\n" -" set the comment delimiter to commentdelim (e.g., \"#\" or \"//\"). If\n" -" set, the input lines will be scanned for this delimiter and, if\n" -" found, the delimiter and the rest of the line will be removed prior\n" -" to processing and subsequently appended to the output line\n" -" (separated by a space).\n" -"\n" -" --version\n" -" print version and exit.\n" -"\n" -" -h print usage, the default gravity path and name, and exit.\n" -"\n" -" --help\n" -" print full documentation and exit.\n" -"\n" -" --input-file infile\n" -" read input from the file infile instead of from standard input; a\n" -" file name of \"-\" stands for standard input.\n" -"\n" -" --input-string instring\n" -" read input from the string instring instead of from standard input.\n" -" All occurrences of the line separator character (default is a\n" -" semicolon) in instring are converted to newlines before the reading\n" -" begins.\n" -"\n" -" --line-separator linesep\n" -" set the line separator character to linesep. By default this is a\n" -" semicolon.\n" -"\n" -" --output-file outfile\n" -" write output to the file outfile instead of to standard output; a\n" -" file name of \"-\" stands for standard output.\n" -"\n" -"MODELS\n" -" Gravity computes the gravity field using one of the following models\n" -"\n" -" egm84, earth gravity model 1984. See\n" -" http://earth-info.nga.mil/GandG/wgs84/gravitymod/wgs84_180/wgs84_180.html\n" -" egm96, earth gravity model 1996. See\n" -" http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm96/egm96.html\n" -" egm2008, earth gravity model 2008. See\n" -" http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008\n" -" wgs84, world geodetic system 1984. This returns the normal\n" -" gravity for the WGS84 ellipsoid.\n" -" grs80, geodetic reference system 1980. This returns the normal\n" -" gravity for the GRS80 ellipsoid.\n" -"\n" -" These models approximate the gravitation field above the surface of the\n" -" earth. By default, the \"egm96\" gravity model is used. This may\n" -" changed by setting the environment variable\n" -" \"GEOGRAPHICLIB_GRAVITY_NAME\" or with the -n option.\n" -"\n" -" The gravity models will be loaded from a directory specified at compile\n" -" time. This may changed by setting the environment variables\n" -" \"GEOGRAPHICLIB_GRAVITY_PATH\" or \"GEOGRAPHICLIB_DATA\", or with the -d\n" -" option. The -h option prints the default gravity path and name. Use\n" -" the -v option to ascertain the full path name of the data file.\n" -"\n" -" Instructions for downloading and installing gravity models are\n" -" available at\n" -" .\n" -"\n" -"ENVIRONMENT\n" -" GEOGRAPHICLIB_GRAVITY_NAME\n" -" Override the compile-time default gravity name of \"egm96\". The -h\n" -" option reports the value of GEOGRAPHICLIB_GRAVITY_NAME, if defined,\n" -" otherwise it reports the compile-time value. If the -n name option\n" -" is used, then name takes precedence.\n" -"\n" -" GEOGRAPHICLIB_GRAVITY_PATH\n" -" Override the compile-time default gravity path. This is typically\n" -" \"/usr/local/share/GeographicLib/gravity\" on Unix-like systems and\n" -" \"C:/ProgramData/GeographicLib/gravity\" on Windows systems. The -h\n" -" option reports the value of GEOGRAPHICLIB_GRAVITY_PATH, if defined,\n" -" otherwise it reports the compile-time value. If the -d dir option\n" -" is used, then dir takes precedence.\n" -"\n" -" GEOGRAPHICLIB_DATA\n" -" Another way of overriding the compile-time default gravity path.\n" -" If it is set (and if GEOGRAPHICLIB_GRAVITY_PATH is not set), then\n" -" $GEOGRAPHICLIB_DATA/gravity is used.\n" -"\n" -"ERRORS\n" -" An illegal line of input will print an error message to standard output\n" -" beginning with \"ERROR:\" and causes Gravity to return an exit code of 1.\n" -" However, an error does not cause Gravity to terminate; following lines\n" -" will be converted.\n" -"\n" -"EXAMPLES\n" -" The gravity field from EGM2008 at the top of Mount Everest\n" -"\n" -" echo 27:59:17N 86:55:32E 8820 | Gravity -n egm2008\n" -" => -0.00001 0.00103 -9.76782\n" -"\n" -"SEE ALSO\n" -" GeoConvert(1), GeoidEval(1), geographiclib-get-gravity(8).\n" -"\n" -"AUTHOR\n" -" Gravity was written by Charles Karney.\n" -"\n" -"HISTORY\n" -" Gravity was added to GeographicLib,\n" -" , in version 1.16.\n" -; - return retval; -} diff --git a/libs/GeographicLib-1.50.1/man/MagneticField.1 b/libs/GeographicLib-1.50.1/man/MagneticField.1 deleted file mode 100644 index 3acfc47e4b5cc3bd2404ca02c4338be51391341b..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/MagneticField.1 +++ /dev/null @@ -1,384 +0,0 @@ -.\" Automatically generated by Pod::Man 4.12 (Pod::Simple 3.39) -.\" -.\" Standard preamble: -.\" ======================================================================== -.de Sp \" Vertical space (when we can't use .PP) -.if t .sp .5v -.if n .sp -.. -.de Vb \" Begin verbatim text -.ft CW -.nf -.ne \\$1 -.. -.de Ve \" End verbatim text -.ft R -.fi -.. -.\" Set up some character translations and predefined strings. \*(-- will -.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left -.\" double quote, and \*(R" will give a right double quote. \*(C+ will -.\" give a nicer C++. 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Always turn off hyphenation; it makes -.\" way too many mistakes in technical documents. -.if n .ad l -.nh -.SH "NAME" -MagneticField \-\- compute the earth's magnetic field -.SH "SYNOPSIS" -.IX Header "SYNOPSIS" -\&\fBMagneticField\fR [ \fB\-n\fR \fIname\fR ] [ \fB\-d\fR \fIdir\fR ] -[ \fB\-N\fR \fINmax\fR ] [ \fB\-M\fR \fIMmax\fR ] -[ \fB\-t\fR \fItime\fR | \fB\-c\fR \fItime\fR \fIlat\fR \fIh\fR ] -[ \fB\-r\fR ] [ \fB\-w\fR ] [ \fB\-T\fR \fItguard\fR ] [ \fB\-H\fR \fIhguard\fR ] [ \fB\-p\fR \fIprec\fR ] -[ \fB\-v\fR ] -[ \fB\-\-comment\-delimiter\fR \fIcommentdelim\fR ] -[ \fB\-\-version\fR | \fB\-h\fR | \fB\-\-help\fR ] -[ \fB\-\-input\-file\fR \fIinfile\fR | \fB\-\-input\-string\fR \fIinstring\fR ] -[ \fB\-\-line\-separator\fR \fIlinesep\fR ] -[ \fB\-\-output\-file\fR \fIoutfile\fR ] -.SH "DESCRIPTION" -.IX Header "DESCRIPTION" -\&\fBMagneticField\fR reads in times and positions on standard input and -prints out the geomagnetic field on standard output and, optionally, its -rate of change. -.PP -The input line is of the form \fItime\fR \fIlat\fR \fIlon\fR \fIh\fR. \fItime\fR is a -date of the form 2012\-07\-03, a fractional year such as 2012.5, or the -string \*(L"now\*(R". \fIlat\fR and \fIlon\fR are the latitude and longitude -expressed as decimal degrees or degrees, minutes, and seconds; for -details on the allowed formats for latitude and longitude, see the -\&\f(CW\*(C`GEOGRAPHIC COORDINATES\*(C'\fR section of \fBGeoConvert\fR\|(1). \fIh\fR is the height -above the ellipsoid in meters; this is optional and defaults to zero. -Alternatively, \fItime\fR can be given on the command line as the argument -to the \fB\-t\fR option, in which case it should not be included on the -input lines. Finally, the magnetic field can be computed at various -points on a circle of latitude (constant \fItime\fR, \fIlat\fR, and \fIh\fR) via -the \fB\-c\fR option; in this case only the longitude should be given on the -input lines. -.PP -The output consists of the following 7 items: -.PP -.Vb 9 -\& the declination (the direction of the horizontal component of -\& the magnetic field measured clockwise from north) in degrees, -\& the inclination (the direction of the magnetic field measured -\& down from the horizontal) in degrees, -\& the horizontal field in nanotesla (nT), -\& the north component of the field in nT, -\& the east component of the field in nT, -\& the vertical component of the field in nT (down is positive), -\& the total field in nT. -.Ve -.PP -If the \fB\-r\fR option is given, a second line is printed giving the rates -of change of these quantities in degrees/yr and nT/yr. -.PP -The \s-1WGS84\s0 ellipsoid is used, \fIa\fR = 6378137 m, \fIf\fR = 1/298.257223563. -.SH "OPTIONS" -.IX Header "OPTIONS" -.IP "\fB\-n\fR \fIname\fR" 4 -.IX Item "-n name" -use magnetic field model \fIname\fR instead of the default \f(CW\*(C`wmm2020\*(C'\fR. See -\&\*(L"\s-1MODELS\*(R"\s0. -.IP "\fB\-d\fR \fIdir\fR" 4 -.IX Item "-d dir" -read magnetic models from \fIdir\fR instead of the default. See -\&\*(L"\s-1MODELS\*(R"\s0. -.IP "\fB\-N\fR \fINmax\fR" 4 -.IX Item "-N Nmax" -limit the degree of the model to \fINmax\fR. -.IP "\fB\-M\fR \fIMmax\fR" 4 -.IX Item "-M Mmax" -limit the order of the model to \fIMmax\fR. -.IP "\fB\-t\fR \fItime\fR" 4 -.IX Item "-t time" -evaluate the field at \fItime\fR instead of reading the time from the input -lines. -.IP "\fB\-c\fR \fItime\fR \fIlat\fR \fIh\fR" 4 -.IX Item "-c time lat h" -evaluate the field on a circle of latitude given by \fItime\fR, \fIlat\fR, -\&\fIh\fR instead of reading these quantities from the input lines. In this -case, \fBMagneticField\fR can calculate the field considerably more -quickly. -.IP "\fB\-r\fR" 4 -.IX Item "-r" -toggle whether to report the rates of change of the field. -.IP "\fB\-w\fR" 4 -.IX Item "-w" -toggle the longitude first flag (it starts off); if the flag is on, then -on input and output, longitude precedes latitude (except that, on input, -this can be overridden by a hemisphere designator, \fIN\fR, \fIS\fR, \fIE\fR, -\&\fIW\fR). -.IP "\fB\-T\fR \fItguard\fR" 4 -.IX Item "-T tguard" -signal an error if \fItime\fR lies \fItguard\fR years (default 50 yr) beyond -the range for the model. -.IP "\fB\-H\fR \fIhguard\fR" 4 -.IX Item "-H hguard" -signal an error if \fIh\fR lies \fIhguard\fR meters (default 500000 m) beyond -the range for the model. -.IP "\fB\-p\fR \fIprec\fR" 4 -.IX Item "-p prec" -set the output precision to \fIprec\fR (default 1). Fields are printed -with precision with \fIprec\fR decimal places; angles use \fIprec\fR + 1 -places. -.IP "\fB\-v\fR" 4 -.IX Item "-v" -print information about the magnetic model on standard error before -processing the input. -.IP "\fB\-\-comment\-delimiter\fR \fIcommentdelim\fR" 4 -.IX Item "--comment-delimiter commentdelim" -set the comment delimiter to \fIcommentdelim\fR (e.g., \*(L"#\*(R" or \*(L"//\*(R"). If -set, the input lines will be scanned for this delimiter and, if found, -the delimiter and the rest of the line will be removed prior to -processing and subsequently appended to the output line (separated by a -space). -.IP "\fB\-\-version\fR" 4 -.IX Item "--version" -print version and exit. -.IP "\fB\-h\fR" 4 -.IX Item "-h" -print usage, the default magnetic path and name, and exit. -.IP "\fB\-\-help\fR" 4 -.IX Item "--help" -print full documentation and exit. -.IP "\fB\-\-input\-file\fR \fIinfile\fR" 4 -.IX Item "--input-file infile" -read input from the file \fIinfile\fR instead of from standard input; a file -name of \*(L"\-\*(R" stands for standard input. -.IP "\fB\-\-input\-string\fR \fIinstring\fR" 4 -.IX Item "--input-string instring" -read input from the string \fIinstring\fR instead of from standard input. -All occurrences of the line separator character (default is a semicolon) -in \fIinstring\fR are converted to newlines before the reading begins. -.IP "\fB\-\-line\-separator\fR \fIlinesep\fR" 4 -.IX Item "--line-separator linesep" -set the line separator character to \fIlinesep\fR. By default this is a -semicolon. -.IP "\fB\-\-output\-file\fR \fIoutfile\fR" 4 -.IX Item "--output-file outfile" -write output to the file \fIoutfile\fR instead of to standard output; a -file name of \*(L"\-\*(R" stands for standard output. -.SH "MODELS" -.IX Header "MODELS" -\&\fBMagneticField\fR computes the geomagnetic field using one of the -following models -.PP -.Vb 10 -\& wmm2010, the World Magnetic Model 2010, which approximates the -\& main magnetic field for the period 2010\-2015. See -\& https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml -\& wmm2015v2, the World Magnetic Model 2015, which approximates the -\& main magnetic field for the period 2015\-2020. See -\& https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml -\& wmm2015, a deprecated version of wmm2015v2 -\& wmm2020, the World Magnetic Model 2020, which approximates the -\& main magnetic field for the period 2020\-2025. See -\& https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml -\& igrf11, the International Geomagnetic Reference Field (11th -\& generation), which approximates the main magnetic field for -\& the period 1900\-2015. See -\& https://ngdc.noaa.gov/IAGA/vmod/igrf.html -\& igrf12, the International Geomagnetic Reference Field (12th -\& generation), which approximates the main magnetic field for -\& the period 1900\-2020. See -\& https://ngdc.noaa.gov/IAGA/vmod/igrf.html -\& emm2010, the Enhanced Magnetic Model 2010, which approximates -\& the main and crustal magnetic fields for the period 2010\-2015. -\& See https://ngdc.noaa.gov/geomag/EMM/index.html -\& emm2015, the Enhanced Magnetic Model 2015, which approximates -\& the main and crustal magnetic fields for the period 2000\-2020. -\& See https://ngdc.noaa.gov/geomag/EMM/index.html -\& emm2017, the Enhanced Magnetic Model 2017, which approximates -\& the main and crustal magnetic fields for the period 2000\-2022. -\& See https://ngdc.noaa.gov/geomag/EMM/index.html -.Ve -.PP -These models approximate the magnetic field due to the earth's core and -(in the case of emm20xx) its crust. They neglect magnetic fields due to -the ionosphere, the magnetosphere, nearby magnetized materials, -electrical machinery, etc. -.PP -By default, the \f(CW\*(C`wmm2020\*(C'\fR magnetic model is used. This may changed by -setting the environment variable \f(CW\*(C`GEOGRAPHICLIB_MAGNETIC_NAME\*(C'\fR or with -the \fB\-n\fR option. -.PP -The magnetic models will be loaded from a directory specified at compile -time. This may changed by setting the environment variables -\&\f(CW\*(C`GEOGRAPHICLIB_MAGNETIC_PATH\*(C'\fR or \f(CW\*(C`GEOGRAPHICLIB_DATA\*(C'\fR, or with the -\&\fB\-d\fR option. The \fB\-h\fR option prints the default magnetic path and -name. Use the \fB\-v\fR option to ascertain the full path name of the data -file. -.PP -Instructions for downloading and installing magnetic models are -available at -. -.SH "ENVIRONMENT" -.IX Header "ENVIRONMENT" -.IP "\fB\s-1GEOGRAPHICLIB_MAGNETIC_NAME\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_MAGNETIC_NAME" -Override the compile-time default magnetic name of \f(CW\*(C`wmm2020\*(C'\fR. The -\&\fB\-h\fR option reports the value of \fB\s-1GEOGRAPHICLIB_MAGNETIC_NAME\s0\fR, if -defined, otherwise it reports the compile-time value. If the \fB\-n\fR -\&\fIname\fR option is used, then \fIname\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_MAGNETIC_PATH\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_MAGNETIC_PATH" -Override the compile-time default magnetic path. This is typically -\&\f(CW\*(C`/usr/local/share/GeographicLib/magnetic\*(C'\fR on Unix-like systems and -\&\f(CW\*(C`C:/ProgramData/GeographicLib/magnetic\*(C'\fR on Windows systems. The \fB\-h\fR -option reports the value of \fB\s-1GEOGRAPHICLIB_MAGNETIC_PATH\s0\fR, if defined, -otherwise it reports the compile-time value. If the \fB\-d\fR \fIdir\fR option -is used, then \fIdir\fR takes precedence. -.IP "\fB\s-1GEOGRAPHICLIB_DATA\s0\fR" 4 -.IX Item "GEOGRAPHICLIB_DATA" -Another way of overriding the compile-time default magnetic path. If it -is set (and if \fB\s-1GEOGRAPHICLIB_MAGNETIC_PATH\s0\fR is not set), then -$\fB\s-1GEOGRAPHICLIB_DATA\s0\fR/magnetic is used. -.SH "ERRORS" -.IX Header "ERRORS" -An illegal line of input will print an error message to standard output -beginning with \f(CW\*(C`ERROR:\*(C'\fR and causes \fBMagneticField\fR to return an exit -code of 1. However, an error does not cause \fBMagneticField\fR to -terminate; following lines will be converted. If \fItime\fR or \fIh\fR are -outside the recommended ranges for the model (but inside the ranges -increase by \fItguard\fR and \fIhguard\fR), a warning is printed on standard -error and the field (which may be inaccurate) is returned in the normal -way. -.SH "EXAMPLES" -.IX Header "EXAMPLES" -The magnetic field from \s-1WMM2020\s0 in Timbuktu on 2020\-01\-01 -.PP -.Vb 3 -\& echo 2020\-01\-01 16:46:33N 3:00:34W 300 | MagneticField \-r -\& => \-1.60 12.00 33973.5 33960.3 \-948.1 7223.0 34732.8 -\& 0.13 \-0.02 21.8 23.9 77.9 \-8.4 19.5 -.Ve -.PP -The first two numbers returned are the declination and inclination of -the field. The second line gives the annual change. -.SH "SEE ALSO" -.IX Header "SEE ALSO" -\&\fBGeoConvert\fR\|(1), \fBgeographiclib\-get\-magnetic\fR\|(8). -.SH "AUTHOR" -.IX Header "AUTHOR" -\&\fBMagneticField\fR was written by Charles Karney. -.SH "HISTORY" -.IX Header "HISTORY" -\&\fBMagneticField\fR was added to GeographicLib, -, in version 1.15. diff --git a/libs/GeographicLib-1.50.1/man/MagneticField.1.html b/libs/GeographicLib-1.50.1/man/MagneticField.1.html deleted file mode 100644 index fcf6f713fadb4c17c753808bf606d09925ba357e..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/MagneticField.1.html +++ /dev/null @@ -1,265 +0,0 @@ - - - - -MagneticField(1) - - - - - - - - -

NAME

- -

MagneticField -- compute the earth's magnetic field

- -

SYNOPSIS

- -

MagneticField [ -n name ] [ -d dir ] [ -N Nmax ] [ -M Mmax ] [ -t time | -c time lat h ] [ -r ] [ -w ] [ -T tguard ] [ -H hguard ] [ -p prec ] [ -v ] [ --comment-delimiter commentdelim ] [ --version | -h | --help ] [ --input-file infile | --input-string instring ] [ --line-separator linesep ] [ --output-file outfile ]

- -

DESCRIPTION

- -

MagneticField reads in times and positions on standard input and prints out the geomagnetic field on standard output and, optionally, its rate of change.

- -

The input line is of the form time lat lon h. time is a date of the form 2012-07-03, a fractional year such as 2012.5, or the string "now". lat and lon are the latitude and longitude expressed as decimal degrees or degrees, minutes, and seconds; for details on the allowed formats for latitude and longitude, see the GEOGRAPHIC COORDINATES section of GeoConvert(1). h is the height above the ellipsoid in meters; this is optional and defaults to zero. Alternatively, time can be given on the command line as the argument to the -t option, in which case it should not be included on the input lines. Finally, the magnetic field can be computed at various points on a circle of latitude (constant time, lat, and h) via the -c option; in this case only the longitude should be given on the input lines.

- -

The output consists of the following 7 items:

- -
  the declination (the direction of the horizontal component of
-    the magnetic field measured clockwise from north) in degrees,
-  the inclination (the direction of the magnetic field measured
-    down from the horizontal) in degrees,
-  the horizontal field in nanotesla (nT),
-  the north component of the field in nT,
-  the east component of the field in nT,
-  the vertical component of the field in nT (down is positive),
-  the total field in nT.
- -

If the -r option is given, a second line is printed giving the rates of change of these quantities in degrees/yr and nT/yr.

- -

The WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -

OPTIONS

- -
- -
-n name
-
- -

use magnetic field model name instead of the default wmm2020. See "MODELS".

- -
-
-d dir
-
- -

read magnetic models from dir instead of the default. See "MODELS".

- -
-
-N Nmax
-
- -

limit the degree of the model to Nmax.

- -
-
-M Mmax
-
- -

limit the order of the model to Mmax.

- -
-
-t time
-
- -

evaluate the field at time instead of reading the time from the input lines.

- -
-
-c time lat h
-
- -

evaluate the field on a circle of latitude given by time, lat, h instead of reading these quantities from the input lines. In this case, MagneticField can calculate the field considerably more quickly.

- -
-
-r
-
- -

toggle whether to report the rates of change of the field.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-T tguard
-
- -

signal an error if time lies tguard years (default 50 yr) beyond the range for the model.

- -
-
-H hguard
-
- -

signal an error if h lies hguard meters (default 500000 m) beyond the range for the model.

- -
-
-p prec
-
- -

set the output precision to prec (default 1). Fields are printed with precision with prec decimal places; angles use prec + 1 places.

- -
-
-v
-
- -

print information about the magnetic model on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default magnetic path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -

MODELS

- -

MagneticField computes the geomagnetic field using one of the following models

- -
    wmm2010, the World Magnetic Model 2010, which approximates the
-      main magnetic field for the period 2010-2015.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    wmm2015v2, the World Magnetic Model 2015, which approximates the
-      main magnetic field for the period 2015-2020.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    wmm2015, a deprecated version of wmm2015v2
-    wmm2020, the World Magnetic Model 2020, which approximates the
-      main magnetic field for the period 2020-2025.  See
-      https://ngdc.noaa.gov/geomag/WMM/DoDWMM.shtml
-    igrf11, the International Geomagnetic Reference Field (11th
-      generation), which approximates the main magnetic field for
-      the period 1900-2015.  See
-      https://ngdc.noaa.gov/IAGA/vmod/igrf.html
-    igrf12, the International Geomagnetic Reference Field (12th
-      generation), which approximates the main magnetic field for
-      the period 1900-2020.  See
-      https://ngdc.noaa.gov/IAGA/vmod/igrf.html
-    emm2010, the Enhanced Magnetic Model 2010, which approximates
-      the main and crustal magnetic fields for the period 2010-2015.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
-    emm2015, the Enhanced Magnetic Model 2015, which approximates
-      the main and crustal magnetic fields for the period 2000-2020.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
-    emm2017, the Enhanced Magnetic Model 2017, which approximates
-      the main and crustal magnetic fields for the period 2000-2022.
-      See https://ngdc.noaa.gov/geomag/EMM/index.html
- -

These models approximate the magnetic field due to the earth's core and (in the case of emm20xx) its crust. They neglect magnetic fields due to the ionosphere, the magnetosphere, nearby magnetized materials, electrical machinery, etc.

- -

By default, the wmm2020 magnetic model is used. This may changed by setting the environment variable GEOGRAPHICLIB_MAGNETIC_NAME or with the -n option.

- -

The magnetic models will be loaded from a directory specified at compile time. This may changed by setting the environment variables GEOGRAPHICLIB_MAGNETIC_PATH or GEOGRAPHICLIB_DATA, or with the -d option. The -h option prints the default magnetic path and name. Use the -v option to ascertain the full path name of the data file.

- -

Instructions for downloading and installing magnetic models are available at https://geographiclib.sourceforge.io/html/magnetic.html#magneticinst.

- -

ENVIRONMENT

- -
- -
GEOGRAPHICLIB_MAGNETIC_NAME
-
- -

Override the compile-time default magnetic name of wmm2020. The -h option reports the value of GEOGRAPHICLIB_MAGNETIC_NAME, if defined, otherwise it reports the compile-time value. If the -n name option is used, then name takes precedence.

- -
-
GEOGRAPHICLIB_MAGNETIC_PATH
-
- -

Override the compile-time default magnetic path. This is typically /usr/local/share/GeographicLib/magnetic on Unix-like systems and C:/ProgramData/GeographicLib/magnetic on Windows systems. The -h option reports the value of GEOGRAPHICLIB_MAGNETIC_PATH, if defined, otherwise it reports the compile-time value. If the -d dir option is used, then dir takes precedence.

- -
-
GEOGRAPHICLIB_DATA
-
- -

Another way of overriding the compile-time default magnetic path. If it is set (and if GEOGRAPHICLIB_MAGNETIC_PATH is not set), then $GEOGRAPHICLIB_DATA/magnetic is used.

- -
-
- -

ERRORS

- -

An illegal line of input will print an error message to standard output beginning with ERROR: and causes MagneticField to return an exit code of 1. However, an error does not cause MagneticField to terminate; following lines will be converted. If time or h are outside the recommended ranges for the model (but inside the ranges increase by tguard and hguard), a warning is printed on standard error and the field (which may be inaccurate) is returned in the normal way.

- -

EXAMPLES

- -

The magnetic field from WMM2020 in Timbuktu on 2020-01-01

- -
    echo 2020-01-01 16:46:33N 3:00:34W 300 | MagneticField -r
-    => -1.60 12.00 33973.5 33960.3 -948.1 7223.0 34732.8
-       0.13 -0.02 21.8 23.9 77.9 -8.4 19.5
- -

The first two numbers returned are the declination and inclination of the field. The second line gives the annual change.

- -

SEE ALSO

- -

GeoConvert(1), geographiclib-get-magnetic(8).

- -

AUTHOR

- -

MagneticField was written by Charles Karney.

- -

HISTORY

- -

MagneticField was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.15.

- - - - - - - diff --git a/libs/GeographicLib-1.50.1/man/MagneticField.pod b/libs/GeographicLib-1.50.1/man/MagneticField.pod deleted file mode 100644 index 4589b5df8783cf083fbd5aeeba0934ec5a6c5eff..0000000000000000000000000000000000000000 --- a/libs/GeographicLib-1.50.1/man/MagneticField.pod +++ /dev/null @@ -1,278 +0,0 @@ -=head1 NAME - -MagneticField -- compute the earth's magnetic field - -=head1 SYNOPSIS - -B [ B<-n> I ] [ B<-d> I ] -[ B<-N> I ] [ B<-M> I ] -[ B<-t> I
- -
-n name
-
- -

use geoid name instead of the default egm96-5. See "GEOIDS".

- -
-
-d dir
-
- -

read geoid data from dir instead of the default. See "GEOIDS".

- -
-
-l
-
- -

use bilinear interpolation instead of cubic. See "INTERPOLATION".

- -
-
-a
-
- -

cache the entire data set in memory. See "CACHE".

- -
-
-c south west north east
-
- -

cache the data bounded by south west north east in memory. The first two arguments specify the SW corner of the cache and the last two arguments specify the NE corner. The -w flag specifies that longitude precedes latitude for these corners, provided that it appears before -c. See "CACHE".

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then when reading geographic coordinates, longitude precedes latitude (this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-z zone
-
- -

prefix each line of input by zone, e.g., 38n. This should be used when the input consists of UTM/UPS eastings and northings.

- -
-
--msltohae
-
- -

standard input should include a final token on each line which is treated as a height (in meters) above the geoid and the output echoes the input line with the height converted to height above ellipsoid (HAE). If -z zone is specified then the third token is treated as the height; this makes it possible to convert LIDAR data where each line consists of: easting northing height intensity.

- -
-
--haetomsl
-
- -

this is similar to --msltohae except that the height token is treated as a height (in meters) above the ellipsoid and the output echoes the input line with the height converted to height above the geoid (MSL).

- -
-
-v
-
- -

print information about the geoid on standard error before processing the input.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage, the default geoid path and name, and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -
-i
-
- -

perform an inverse geodesic calculation (see 2 above).

- -
-
-L lat1 lon1 azi1
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 azi1. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -L. (-l is an alternative, deprecated, spelling of this flag.)

- -
-
-D lat1 lon1 azi1 s13
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 azi1 s13. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -D. Similarly, the -a flag can be used to change the interpretation of s13 to a13, provided that it appears before -D.

- -
-
-I lat1 lon1 lat3 lon3
-
- -

line mode (see 3 above); generate a sequence of points along the geodesic specified by lat1 lon1 lat3 lon3. The -w flag can be used to swap the default order of the 2 geographic coordinates, provided that it appears before -I.

- -
-
-a
-
- -

toggle the arc mode flag (it starts off); if this flag is on, then on input and output s12 is replaced by a12 the arc length (in degrees) on the auxiliary sphere. See "AUXILIARY SPHERE".

- -
-
-e a f
-
- -

specify the ellipsoid via the equatorial radius, a and the flattening, f. Setting f = 0 results in a sphere. Specify f < 0 for a prolate ellipsoid. A simple fraction, e.g., 1/297, is allowed for f. By default, the WGS84 ellipsoid is used, a = 6378137 m, f = 1/298.257223563.

- -
-
-u
-
- -

unroll the longitude. Normally, on output longitudes are reduced to lie in [-180deg,180deg). However with this option, the returned longitude lon2 is "unrolled" so that lon2 - lon1 indicates how often and in what sense the geodesic has encircled the earth. Use the -f option, to get both longitudes printed.

- -
-
-F
-
- -

fractional mode. This only has any effect with the -D and -I options (and is otherwise ignored). The values read on standard input are interpreted as fractional distances to point 3, i.e., as s12/s13 instead of s12. If arc mode is in effect, then the values denote fractional arc length, i.e., a12/a13. The fractional distances can be entered as a simple fraction, e.g., 3/4.

- -
-
-d
-
- -

output angles as degrees, minutes, seconds instead of decimal degrees.

- -
-
-:
-
- -

like -d, except use : as a separator instead of the d, ', and " delimiters.

- -
-
-w
-
- -

toggle the longitude first flag (it starts off); if the flag is on, then on input and output, longitude precedes latitude (except that, on input, this can be overridden by a hemisphere designator, N, S, E, W).

- -
-
-b
-
- -

report the back azimuth at point 2 instead of the forward azimuth.

- -
-
-f
-
- -

full output; each line of output consists of 12 quantities: lat1 lon1 azi1 lat2 lon2 azi2 s12 a12 m12 M12 M21 S12. a12 is described in "AUXILIARY SPHERE". The four quantities m12, M12, M21, and S12 are described in "ADDITIONAL QUANTITIES".

- -
-
-p prec
-
- -

set the output precision to prec (default 3); prec is the precision relative to 1 m. See "PRECISION".

- -
-
-E
-
- -

use "exact" algorithms (based on elliptic integrals) for the geodesic calculations. These are more accurate than the (default) series expansions for |f| > 0.02.

- -
-
--comment-delimiter commentdelim
-
- -

set the comment delimiter to commentdelim (e.g., "#" or "//"). If set, the input lines will be scanned for this delimiter and, if found, the delimiter and the rest of the line will be removed prior to processing and subsequently appended to the output line (separated by a space).

- -
-
--version
-
- -

print version and exit.

- -
-
-h
-
- -

print usage and exit.

- -
-
--help
-
- -

print full documentation and exit.

- -
-
--input-file infile
-
- -

read input from the file infile instead of from standard input; a file name of "-" stands for standard input.

- -
-
--input-string instring
-
- -

read input from the string instring instead of from standard input. All occurrences of the line separator character (default is a semicolon) in instring are converted to newlines before the reading begins.

- -
-
--line-separator linesep
-
- -

set the line separator character to linesep. By default this is a semicolon.

- -
-
--output-file outfile
-
- -

write output to the file outfile instead of to standard output; a file name of "-" stands for standard output.

- -
-
- -
geographic
-
- -

2 tokens (output options -g, -d, or -:) given as latitude longitude using decimal degrees or degrees, minutes, and seconds. Latitude is given first (unless the -w option is given). See "GEOGRAPHIC COORDINATES" for a description of the format. For example, the following are all equivalent

- -
    33.3 44.4
-    E44.4 N33.3
-    33d18'N 44d24'E
-    44d24 33d18N
-    33:18 +44:24
- -
-
UTM/UPS
-
- -

3 tokens (output option -u) given as zone+hemisphere easting northing or easting northing zone+hemisphere, where hemisphere is either n (or north) or s (or south). The zone is absent for a UPS specification. For example,

- -
    38n 444140.54 3684706.36
-    444140.54 3684706.36 38n
-    s 2173854.98 2985980.58
-    2173854.98 2985980.58 s
- -
-
MRGS
-
- -

1 token (output option -m) is used to specify the center of an MGRS grid square. For example,

- -
    38SMB4484
-    38SMB44140847064
- -
-

ConicProj was added to GeographicLib, https://geographiclib.sourceforge.io, in version 1.9.