#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