SimCore/libs/geographiclib/tests/geodtest.cpp

/**
 * \file geodtest.cpp
 * \brief Test random geodesic problems
 *
 * Copyright (c) Charles Karney (2022) <charles@karney.com> and licensed
 * under the MIT/X11 License.  For more information, see
 * https://geographiclib.sourceforge.io/
 **********************************************************************/

#include <iostream>
#include <GeographicLib/Geodesic.hpp>
#include <GeographicLib/GeodesicExact.hpp>

using namespace std;
using namespace GeographicLib;

typedef Math::real T;

static int checkEquals(T x, T y, T d) {
  if (fabs(x - y) <= d)
    return 0;
  cout << "checkEquals fails: " << x << " != " << y << " +/- " << d << "\n";
  return 1;
}

static const int ncases = 20;
static const T testcases[ncases][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}};

template <class G>
static int testinverse(T f = 1) {
  T lat1, lon1, azi1, lat2, lon2, azi2, s12, a12, m12, M12, M21, S12;
  T azi1a, azi2a, s12a, a12a, m12a, M12a, M21a, S12a;
  const G& g = G::WGS84();
  int result = 0;
  for (int i = 0; i < ncases; ++i) {
    int k = 0;
    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 = g.GenInverse(lat1, lon1, lat2, lon2, G::ALL,
                        s12a, azi1a, azi2a, m12a, M12a, M21a, S12a);
    k += checkEquals(azi1, azi1a, 1e-13 * f);
    k += checkEquals(azi2, azi2a, 1e-13 * f);
    k += checkEquals(s12, s12a, 1e-8 * f);
    k += checkEquals(a12, a12a, 1e-13 * f);
    k += checkEquals(m12, m12a, 1e-8 * f);
    k += checkEquals(M12, M12a, 1e-15 * f);
    k += checkEquals(M21, M21a, 1e-15 * f);
    k += checkEquals(S12, S12a, 0.1 * f);
    if (k) cout << "testinverse failure: case " << i << "\n";
    result += k;
  }
  return result;
}

template <class G>
static int testdirect(T f = 1) {
  T lat1, lon1, azi1, lat2, lon2, azi2, s12, a12, m12, M12, M21, S12;
  T lat2a, lon2a, azi2a, s12a, a12a, m12a, M12a, M21a, S12a;
  const G& g = G::WGS84();
  int result = 0;
  for (int i = 0; i < ncases; ++i) {
    int k = 0;
    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 = g.GenDirect(lat1, lon1, azi1, false, s12, G::ALL | G::LONG_UNROLL,
              lat2a, lon2a, azi2a, s12a, m12a, M12a, M21a, S12a);
    k += checkEquals(lat2, lat2a, 1e-13 * f);
    k += checkEquals(lon2, lon2a, 1e-13 * f);
    k += checkEquals(azi2, azi2a, 1e-13 * f);
    k += checkEquals(s12, s12a, 0 * f);
    k += checkEquals(a12, a12a, 1e-13 * f);
    k += checkEquals(m12, m12a, 1e-8 * f);
    k += checkEquals(M12, M12a, 1e-15 * f);
    k += checkEquals(M21, M21a, 1e-15 * f);
    k += checkEquals(S12, S12a, 0.1 * f);
    if (k) cout << "testdirect failure: case " << i << "\n";
    result += k;
  }
  return result;
}

template <class G>
static int testarcdirect(T f = 1) {
  T lat1, lon1, azi1, lat2, lon2, azi2, s12, a12, m12, M12, M21, S12;
  T lat2a, lon2a, azi2a, s12a, a12a, m12a, M12a, M21a, S12a;
  const G& g = G::WGS84();
  int result = 0;
  for (int i = 0; i < ncases; ++i) {
    int k = 0;
    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 = g.GenDirect(lat1, lon1, azi1, true, a12, G::ALL | G::LONG_UNROLL,
                       lat2a, lon2a, azi2a, s12a, m12a, M12a, M21a, S12a);
    k += checkEquals(lat2, lat2a, 1e-13 * f);
    k += checkEquals(lon2, lon2a, 1e-13 * f);
    k += checkEquals(azi2, azi2a, 1e-13 * f);
    k += checkEquals(s12, s12a, 1e-8 * f);
    k += checkEquals(a12, a12a, 0 * f);
    k += checkEquals(m12, m12a, 1e-8 * f);
    k += checkEquals(M12, M12a, 1e-15 * f);
    k += checkEquals(M21, M21a, 1e-15 * f);
    k += checkEquals(S12, S12a, 0.1 * f);
    if (k) cout << "testarcdirect failure: case " << i << "\n";
    result += k;
  }
  return result;
}

int main() {
  int n = 0, i;

  i = testinverse<Geodesic>(); n += i;
  if (i) cout << "testinverse<Geodesic> failure\n";

  i = testdirect<Geodesic>(); n += i;
  if (i) cout << "testdirect<Geodesic> failure\n";

  i = testarcdirect<Geodesic>(); n += i;
  if (i) cout << "testarcdirect<Geodesic> failure\n";

  // Allow 2x error with GeodesicExact calcuations (for WGS84)
  i = testinverse<GeodesicExact>(2); n += i;
  if (i) cout << "testinverse<GeodesicExact> failure\n";

  i = testdirect<GeodesicExact>(4); n += i;
  if (i) cout << "testdirect<GeodesicExact> failure\n";

  i = testarcdirect<GeodesicExact>(2); n += i;
  if (i) cout << "testarcdirect<GeodesicExact> failure\n";

  if (n) {
    cout << n << " failure" << (n > 1 ? "s" : "") << "\n";
    return 1;
  }
}