#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)
 * <charles@karney.com> 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;
   * - &Phi; = rotational potential;
   * - \e W = \e V + &Phi; = \e T + \e U = total potential;
   * - <i>V</i><sub>0</sub> = normal gravitation potential;
   * - \e U = <i>V</i><sub>0</sub> + &Phi; = total normal potential;
   * - \e T = \e W &minus; \e U = \e V &minus; <i>V</i><sub>0</sub> = anomalous
   *   or disturbing potential;
   * - <b>g</b> = &nabla;\e W = <b>&gamma;</b> + <b>&delta;</b>;
   * - <b>f</b> = &nabla;&Phi;;
   * - <b>&Gamma;</b> = &nabla;<i>V</i><sub>0</sub>;
   * - <b>&gamma;</b> = &nabla;\e U;
   * - <b>&delta;</b> = &nabla;\e T = gravity disturbance vector
   *   = <b>g</b><sub><i>P</i></sub> &minus; <b>&gamma;</b><sub><i>P</i></sub>;
   * - &delta;\e g = gravity disturbance = \e g<sub><i>P</i></sub> &minus;
   *   &gamma;<sub><i>P</i></sub>;
   * - &Delta;<b>g</b> = gravity anomaly vector = <b>g</b><sub><i>P</i></sub>
   *   &minus; <b>&gamma;</b><sub><i>Q</i></sub>; here the line \e PQ is
   *   perpendicular to ellipsoid and the potential at \e P equals the normal
   *   potential at \e Q;
   * - &Delta;\e g = gravity anomaly = \e g<sub><i>P</i></sub> &minus;
   *   &gamma;<sub><i>Q</i></sub>;
   * - (&xi;, &eta;) deflection of the vertical, the difference in
   *   directions of <b>g</b><sub><i>P</i></sub> and
   *   <b>&gamma;</b><sub><i>Q</i></sub>, &xi; = NS, &eta; = 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
   *
   * <B>INTERFACE DIFFERENCES:</B><BR>
   * 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<sup>&minus;2</sup>).
         * @param[out] gy the northerly component of the acceleration
         *   (m s<sup>&minus;2</sup>).
         * @param[out] gz the upward component of the acceleration
         *   (m s<sup>&minus;2</sup>); 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<sup>&minus;2</sup>).
         * @param[out] deltay the northerly component of the disturbance vector
         *   (m s<sup>&minus;2</sup>).
         * @param[out] deltaz the upward component of the disturbance vector
         *   (m s<sup>&minus;2</sup>).
         * @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<sup>&minus;2</sup>).
         * @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<sup>&minus;2</sup>).
         * @param[out] gY the \e Y component of the acceleration
         *   (m s<sup>&minus;2</sup>).
         * @param[out] gZ the \e Z component of the acceleration
         *   (m s<sup>&minus;2</sup>).
         * @return \e W = \e V + &Phi; the sum of the gravitational and
         *   centrifugal potentials (m<sup>2</sup> s<sup>&minus;2</sup>).
         *
         * 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<sup>&minus;2</sup>).
         * @param[out] GY the \e Y component of the acceleration
         *   (m s<sup>&minus;2</sup>).
         * @param[out] GZ the \e Z component of the acceleration
         *   (m s<sup>&minus;2</sup>).
         * @return \e V = \e W - &Phi; the gravitational potential
         *   (m<sup>2</sup> s<sup>&minus;2</sup>).
         **********************************************************************/
        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<sup>&minus;2</sup>).
         * @param[out] deltaY the \e Y component of the gravity disturbance
         *   (m s<sup>&minus;2</sup>).
         * @param[out] deltaZ the \e Z component of the gravity disturbance
         *   (m s<sup>&minus;2</sup>).
         * @return \e T = \e W - \e U the disturbing potential (also called the
         *   anomalous potential) (m<sup>2</sup> s<sup>&minus;2</sup>).
         **********************************************************************/
        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) (m<sup>2</sup> s<sup>&minus;2</sup>).
         **********************************************************************/
        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<sup>&minus;2</sup>).
         * @param[out] gammaY the \e Y component of the normal acceleration
         *   (m s<sup>&minus;2</sup>).
         * @param[out] gammaZ the \e Z component of the normal acceleration
         *   (m s<sup>&minus;2</sup>).
         * @return \e U = <i>V</i><sub>0</sub> + &Phi; the sum of the
         *   normal gravitational and centrifugal potentials
         *   (m<sup>2</sup> s<sup>&minus;2</sup>).
         *
         * 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<sup>&minus;2</sup>).
         * @param[out] fY the \e Y component of the centrifugal acceleration
         *   (m s<sup>&minus;2</sup>).
         * @return &Phi; the centrifugal potential (m<sup>2</sup>
         * s<sup>&minus;2</sup>).
         *
         * 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 (m<sup>3</sup>
         *   s<sup>&minus;2</sup>); 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()
         *   (m<sup>3</sup> s<sup>&minus;2</sup>).
         **********************************************************************/
        property double ReferenceMassConstant { double get(); }

        /**
         * @return &omega; the angular velocity of the model and the
         *   ReferenceEllipsoid() (rad s<sup>&minus;1</sup>).
         **********************************************************************/
        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