Example: topography_gps_coords_example

C++ example source code:

/* +------------------------------------------------------------------------+
   |                     Mobile Robot Programming Toolkit (MRPT)            |
   |                          https://www.mrpt.org/                         |
   |                                                                        |
   | Copyright (c) 2005-2024, Individual contributors, see AUTHORS file     |
   | See: https://www.mrpt.org/Authors - All rights reserved.               |
   | Released under BSD License. See: https://www.mrpt.org/License          |
   +------------------------------------------------------------------------+ */

#include <mrpt/topography.h>

#include <Eigen/Dense>
#include <iostream>

using namespace mrpt;
using namespace mrpt::poses;
using namespace mrpt::math;
using namespace std;

void TestGPS_coords()
{
  // ENU:
  const mrpt::topography::TGeodeticCoords p0(
      RAD2DEG(0.6408472493152757),   // lat
      RAD2DEG(-0.0780454933097760),  // lon
      53.200600                      // height meters
  );

  const mrpt::topography::TGeodeticCoords p1(
      RAD2DEG(0.6408615769267271),   // lat
      RAD2DEG(-0.0780621148947297),  // lon
      56.210100                      // meters
  );

  cout << "Point 0: lat=" << p0.lat << " lon=" << p0.lon << " alt=" << p0.height << endl;
  cout << "Point 1: lat=" << p1.lat << " lon=" << p1.lon << " alt=" << p1.height << endl;

  mrpt::math::TPoint3D p;
  mrpt::topography::geodeticToENU_WGS84(p1, p, p0);
  cout << "ENU XYZ coords: " << p << endl;

  // Geocentric:
  const mrpt::topography::TGeodeticCoords pt0(32.0, -10.0, 0.0);
  const mrpt::topography::TGeodeticCoords pt1(32.0, -10.0, 500.0);

  mrpt::math::TPoint3D geo0, geo1;
  mrpt::topography::geodeticToGeocentric_WGS84(pt0, geo0);
  mrpt::topography::geodeticToGeocentric_WGS84(pt1, geo1);
  cout << "P0 XYZ geocentric coords: " << geo0 << endl;
  cout << "P1 XYZ geocentric coords: " << geo1 << endl;

  // ENU_axes_from_WGS84
  mrpt::math::TPose3D pose_ENU;
  mrpt::topography::ENU_axes_from_WGS84(pt0.lon, pt0.lat, pt0.height, pose_ENU);
  cout << "ENU system of coordinates for lat=" << pt0.lat << " lon=" << pt0.lon
       << " alt=" << pt0.height << " is: \n"
       << mrpt::poses::CPose3D(pose_ENU).getHomogeneousMatrixVal<CMatrixDouble44>() << endl;

  cout << "P0->P1: " << (geo1 - geo0) << endl;
  cout << "(p1.h-p0.h)*ENU_Z: "
       << (pt1.height - pt0.height) *
              mrpt::poses::CPose3D(pose_ENU).getRotationMatrix().blockCopy<3, 1>(0, 2).transpose()
       << endl;

  // UTM:
  // See: http://www.mathworks.com/matlabcentral/fileexchange/10915
  cout << endl << "UTM coordinate test:" << endl;

  double lats[] = {40.3154333, 46.283900, 37.577833, 28.645650, 38.855550, 25.061783};
  double lons[] = {-3.4857166, 7.8012333, -119.95525, -17.759533, -94.7990166, 121.640266};
  int zone;
  char band;
  for (size_t i = 0; i < sizeof(lats) / sizeof(lats[0]); i++)
  {
    topography::TUTMCoords UTMCoords;
    const double la = lats[i];
    const double lo = lons[i];
    // mrpt::topography::LatLonToUTM( la,lo, x,y,zone,band );
    mrpt::topography::geodeticToUTM(topography::TGeodeticCoords(la, lo, 0), UTMCoords, zone, band);
    cout << "Lat: " << la << " Lon: " << lo << " x: " << UTMCoords.x << " y: " << UTMCoords.y
         << " zone: " << zone << " band: " << band << endl;
  }
}

void TestGeoid2Geocentric()
{
  const double lon0 = -3.733572031;  // RAD2DEG( 0.6408472493152757L );
  const double lat0 = 37.89250616;   // RAD2DEG(-0.0780454933097760L );
  const double h0 = 515.579;         // 53.200600; // meters

  cout << endl;
  cout << format("Point: lon=%.012f lat=%.012f h=%.04f\n", lon0, lat0, h0);

  mrpt::math::TPoint3D p;
  mrpt::topography::geodeticToGeocentric_WGS84(
      mrpt::topography::TGeodeticCoords(lon0, lat0, h0), p);

  cout << "In geocentric coords: " << p << endl;
}

// ------------------------------------------------------
//                      MAIN
// ------------------------------------------------------
int main()
{
  try
  {
    TestGPS_coords();
    TestGeoid2Geocentric();
    return 0;
  }
  catch (exception& e)
  {
    cout << "MRPT exception caught: " << e.what() << endl;
    return -1;
  }
}