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- // Boost.Geometry
- // Unit Test
- // Copyright (c) 2019 Oracle and/or its affiliates.
- // Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
- // Use, modification and distribution is subject to the Boost Software License,
- // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
- // http://www.boost.org/LICENSE_1_0.txt)
- #include <geometry_test_common.hpp>
- #include <boost/geometry/formulas/karney_direct.hpp>
- #include <boost/geometry/srs/srs.hpp>
- #ifdef BOOST_GEOEMTRY_TEST_WITH_GEOGRAPHICLIB
- #include <GeographicLib/Geodesic.hpp>
- #include <GeographicLib/Constants.hpp>
- #endif // BOOST_GEOEMTRY_TEST_WITH_GEOGRAPHICLIB
- int test_main(int, char*[])
- {
- #ifdef BOOST_GEOEMTRY_TEST_WITH_GEOGRAPHICLIB
- // accuracy test from https://github.com/boostorg/geometry/issues/560
- using namespace GeographicLib;
- const long double wgs84_a = 6378137.0L;
- const long double wgs84_f = 1.0L / 298.257223563L;
- const long double one_minus_f = 1.0L - wgs84_f;
- const long double wgs84_b = wgs84_a * one_minus_f;
- const boost::geometry::srs::spheroid<long double> BoostWGS84(wgs84_a, wgs84_b);
- // boost karney_direct function class with azimuth output and SeriesOrder = 6
- typedef boost::geometry::formula::karney_direct <double, true, true, false, false, 6u>
- BoostKarneyDirect_6;
- // boost karney_direct function class with azimuth output and SeriesOrder = 8
- typedef boost::geometry::formula::karney_direct <double, true, true, false, false, 8u>
- BoostKarneyDirect_8;
- // boost test BOOST_CHECK_CLOSE macro takes a percentage accuracy parameter
- const double EPSILON = std::numeric_limits<double>::epsilon();
- const double CALCULATION_TOLERANCE = 100 * EPSILON;
- const Geodesic GeographicLibWGS84(Geodesic::WGS84());
- // Loop around latitudes: 0 to 89 degrees
- for (int i=0; i < 90; ++i)
- {
- // The latitude in degrees.
- double latitude(1.0 * i);
- // Loop around longitudes: 1 to 179 degrees
- for (int j=1; j < 180; ++j)
- {
- // The longitude in degrees.
- double longitude(1.0 * j);
- // The Geodesic: distance in metres, start azimuth and finish azimuth in degrees.
- double distance_m, azimuth, azi2;
- GeographicLibWGS84.Inverse(0.0, 0.0, latitude, longitude, distance_m, azimuth, azi2);
- // The GeographicLib position and azimuth at the distance in metres
- double lat2k, lon2k, azi2k;
- GeographicLibWGS84.Direct(0.0, 0.0, azimuth, distance_m, lat2k, lon2k, azi2k);
- BOOST_CHECK_CLOSE(latitude, lat2k, 140 * CALCULATION_TOLERANCE);
- BOOST_CHECK_CLOSE(longitude, lon2k, 120 * CALCULATION_TOLERANCE);
- // The boost karney_direct order 6 position at the azimuth and distance in metres.
- boost::geometry::formula::result_direct<double> results_6
- = BoostKarneyDirect_6::apply(0.0, 0.0, distance_m, azimuth, BoostWGS84);
- BOOST_CHECK_CLOSE(azi2, results_6.reverse_azimuth, 140 * CALCULATION_TOLERANCE);
- BOOST_CHECK_CLOSE(latitude, results_6.lat2, 220 * CALCULATION_TOLERANCE);
- /******** Test below only passes with >= 10172000 * CALCULATION_TOLERANCE !! ********/
- BOOST_CHECK_CLOSE(longitude, results_6.lon2, 10171000 * CALCULATION_TOLERANCE);
- /*****************************************************************************/
- // The boost karney_direct order 8 position at the azimuth and distance in metres.
- boost::geometry::formula::result_direct<double> results_8
- = BoostKarneyDirect_8::apply(0.0, 0.0, distance_m, azimuth, BoostWGS84);
- BOOST_CHECK_CLOSE(azi2, results_8.reverse_azimuth, 140 * CALCULATION_TOLERANCE);
- BOOST_CHECK_CLOSE(latitude, results_8.lat2, 220 * CALCULATION_TOLERANCE);
- /******** Test below only passes with >= 10174000 * CALCULATION_TOLERANCE !! ********/
- BOOST_CHECK_CLOSE(longitude, results_8.lon2, 10173000 * CALCULATION_TOLERANCE);
- /*****************************************************************************/
- }
- }
- #endif // BOOST_GEOEMTRY_TEST_WITH_GEOGRAPHICLIB
- return 0;
- }
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