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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+// Unit Test
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// This file was modified by Oracle on 2014, 2015, 2016, 2017.
+// Modifications copyright (c) 2014-2017 Oracle and/or its affiliates.
+
+// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
+
+// Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
+// (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands.
+
+// 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/concept_check.hpp>
+
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/distance.hpp>
+#include <boost/geometry/formulas/vincenty_inverse.hpp>
+#include <boost/geometry/formulas/vincenty_direct.hpp>
+#include <boost/geometry/geometries/point.hpp>
+#include <boost/geometry/srs/spheroid.hpp>
+#include <boost/geometry/strategies/concepts/distance_concept.hpp>
+#include <boost/geometry/strategies/geographic/distance_vincenty.hpp>
+#include <boost/geometry/strategies/geographic/side_vincenty.hpp>
+
+#include <test_common/test_point.hpp>
+
+#ifdef HAVE_TTMATH
+# include <boost/geometry/extensions/contrib/ttmath_stub.hpp>
+#endif
+
+template <typename T>
+void normalize_deg(T & deg)
+{
+ while ( deg > T(180) )
+ deg -= T(360);
+ while ( deg <= T(-180) )
+ deg += T(360);
+}
+
+template <typename T>
+T difference_deg(T const& a1, T const& a2)
+{
+ T d = a1 - a2;
+ normalize_deg(d);
+ return d;
+}
+
+template <typename T>
+void check_deg(std::string const& name, T const& a1, T const& a2, T const& percent, T const& error)
+{
+ T diff = bg::math::abs(difference_deg(a1, a2));
+
+ if ( bg::math::equals(a1, T(0)) || bg::math::equals(a2, T(0)) )
+ {
+ if ( diff > error )
+ {
+ BOOST_ERROR(name << " - the difference {" << diff << "} between {" << a1 << "} and {" << a2 << "} exceeds {" << error << "}");
+ }
+ }
+ else
+ {
+ T greater = (std::max)(bg::math::abs(a1), bg::math::abs(a2));
+
+ if ( diff > greater * percent / T(100) )
+ {
+ BOOST_ERROR(name << " the difference {" << diff << "} between {" << a1 << "} and {" << a2 << "} exceeds {" << percent << "}%");
+ }
+ }
+}
+
+double azimuth(double deg, double min, double sec)
+{
+ min = fabs(min);
+ sec = fabs(sec);
+
+ if ( deg < 0 )
+ {
+ min = -min;
+ sec = -sec;
+ }
+
+ return deg + min/60.0 + sec/3600.0;
+}
+
+double azimuth(double deg, double min)
+{
+ return azimuth(deg, min, 0.0);
+}
+
+template <typename P>
+bool non_precise_ct()
+{
+ typedef typename bg::coordinate_type<P>::type ct;
+ return boost::is_integral<ct>::value || boost::is_float<ct>::value;
+}
+
+template <typename P1, typename P2, typename Spheroid>
+void test_vincenty(double lon1, double lat1, double lon2, double lat2,
+ double expected_distance,
+ double expected_azimuth_12,
+ double /*expected_azimuth_21*/,
+ Spheroid const& spheroid)
+{
+ typedef typename bg::promote_floating_point
+ <
+ typename bg::select_calculation_type<P1, P2, void>::type
+ >::type calc_t;
+
+ calc_t tolerance = non_precise_ct<P1>() || non_precise_ct<P2>() ?
+ 5.0 : 0.001;
+ calc_t error = non_precise_ct<P1>() || non_precise_ct<P2>() ?
+ 1e-5 : 1e-12;
+
+ // formula
+ {
+ double const d2r = bg::math::d2r<double>();
+ double const r2d = bg::math::r2d<double>();
+
+ typedef bg::formula::vincenty_inverse<calc_t, true, true> inverse_formula;
+ typename inverse_formula::result_type
+ result_i = inverse_formula::apply(lon1 * d2r,
+ lat1 * d2r,
+ lon2 * d2r,
+ lat2 * d2r,
+ spheroid);
+ calc_t dist = result_i.distance;
+ calc_t az12 = result_i.azimuth;
+ //calc_t az21 = vi.azimuth21();
+
+ calc_t az12_deg = az12 * r2d;
+ //calc_t az21_deg = az21 * r2d;
+
+ BOOST_CHECK_CLOSE(dist, calc_t(expected_distance), tolerance);
+ check_deg("az12_deg", az12_deg, calc_t(expected_azimuth_12), tolerance, error);
+ //check_deg("az21_deg", az21_deg, calc_t(expected_azimuth_21), tolerance, error);
+
+ typedef bg::formula::vincenty_direct<calc_t> direct_formula;
+ typename direct_formula::result_type
+ result_d = direct_formula::apply(lon1 * d2r,
+ lat1 * d2r,
+ dist,
+ az12,
+ spheroid);
+ calc_t direct_lon2 = result_d.lon2;
+ calc_t direct_lat2 = result_d.lat2;
+ //calc_t direct_az21 = vd.azimuth21();
+
+ calc_t direct_lon2_deg = direct_lon2 * r2d;
+ calc_t direct_lat2_deg = direct_lat2 * r2d;
+ //calc_t direct_az21_deg = direct_az21 * r2d;
+
+ check_deg("direct_lon2_deg", direct_lon2_deg, calc_t(lon2), tolerance, error);
+ check_deg("direct_lat2_deg", direct_lat2_deg, calc_t(lat2), tolerance, error);
+ //check_deg("direct_az21_deg", direct_az21_deg, az21_deg, tolerance, error);
+ }
+
+ // distance strategies
+ {
+ typedef bg::strategy::distance::vincenty<Spheroid> vincenty_type;
+ typedef bg::strategy::distance::geographic<bg::strategy::vincenty, Spheroid> geographic_type;
+
+ BOOST_CONCEPT_ASSERT(
+ (
+ bg::concepts::PointDistanceStrategy<vincenty_type, P1, P2>)
+ );
+
+ vincenty_type vincenty(spheroid);
+ geographic_type geographic(spheroid);
+ typedef typename bg::strategy::distance::services::return_type<vincenty_type, P1, P2>::type return_type;
+
+ P1 p1;
+ P2 p2;
+
+ bg::assign_values(p1, lon1, lat1);
+ bg::assign_values(p2, lon2, lat2);
+
+ BOOST_CHECK_CLOSE(vincenty.apply(p1, p2), return_type(expected_distance), tolerance);
+ BOOST_CHECK_CLOSE(geographic.apply(p1, p2), return_type(expected_distance), tolerance);
+ BOOST_CHECK_CLOSE(bg::distance(p1, p2, vincenty), return_type(expected_distance), tolerance);
+ }
+}
+
+template <typename P1, typename P2>
+void test_vincenty(double lon1, double lat1, double lon2, double lat2,
+ double expected_distance,
+ double expected_azimuth_12,
+ double expected_azimuth_21)
+{
+ test_vincenty<P1, P2>(lon1, lat1, lon2, lat2,
+ expected_distance, expected_azimuth_12, expected_azimuth_21,
+ bg::srs::spheroid<double>());
+}
+
+template <typename PS, typename P>
+void test_side(double lon1, double lat1,
+ double lon2, double lat2,
+ double lon, double lat,
+ int expected_side)
+{
+ // Set radius type, but for integer coordinates we want to have floating point radius type
+ typedef typename bg::promote_floating_point
+ <
+ typename bg::coordinate_type<PS>::type
+ >::type rtype;
+
+ typedef bg::srs::spheroid<rtype> stype;
+
+ typedef bg::strategy::side::vincenty<stype> strategy_type;
+ typedef bg::strategy::side::geographic<bg::strategy::vincenty, stype> strategy2_type;
+
+ strategy_type strategy;
+ strategy2_type strategy2;
+
+ PS p1, p2;
+ P p;
+
+ bg::assign_values(p1, lon1, lat1);
+ bg::assign_values(p2, lon2, lat2);
+ bg::assign_values(p, lon, lat);
+
+ int side = strategy.apply(p1, p2, p);
+ int side2 = strategy2.apply(p1, p2, p);
+
+ BOOST_CHECK_EQUAL(side, expected_side);
+ BOOST_CHECK_EQUAL(side2, expected_side);
+}
+
+template <typename P1, typename P2>
+void test_all()
+{
+ // See:
+ // - http://www.ga.gov.au/geodesy/datums/vincenty_inverse.jsp
+ // - http://www.ga.gov.au/geodesy/datums/vincenty_direct.jsp
+ // Values in the comments below was calculated using the above pages
+ // in some cases distances may be different, previously used values was left
+
+ // use km
+ double gda_a = 6378.1370;
+ double gda_f = 1.0 / 298.25722210;
+ double gda_b = gda_a * ( 1.0 - gda_f );
+ bg::srs::spheroid<double> gda_spheroid(gda_a, gda_b);
+
+ // Test fractional coordinates only for non-integral types
+ if ( BOOST_GEOMETRY_CONDITION(
+ ! boost::is_integral<typename bg::coordinate_type<P1>::type>::value
+ && ! boost::is_integral<typename bg::coordinate_type<P2>::type>::value ) )
+ {
+ // Flinders Peak -> Buninyong
+ test_vincenty<P1, P2>(azimuth(144,25,29.52440), azimuth(-37,57,3.72030),
+ azimuth(143,55,35.38390), azimuth(-37,39,10.15610),
+ 54.972271, azimuth(306,52,5.37), azimuth(127,10,25.07),
+ gda_spheroid);
+ }
+
+ // Lodz -> Trondheim
+ test_vincenty<P1, P2>(azimuth(19,28), azimuth(51,47),
+ azimuth(10,21), azimuth(63,23),
+ 1399.032724, azimuth(340,54,25.14), azimuth(153,10,0.19),
+ gda_spheroid);
+ // London -> New York
+ test_vincenty<P1, P2>(azimuth(0,7,39), azimuth(51,30,26),
+ azimuth(-74,0,21), azimuth(40,42,46),
+ 5602.044851, azimuth(288,31,36.82), azimuth(51,10,33.43),
+ gda_spheroid);
+
+ // Shanghai -> San Francisco
+ test_vincenty<P1, P2>(azimuth(121,30), azimuth(31,12),
+ azimuth(-122,25), azimuth(37,47),
+ 9899.698550, azimuth(45,12,44.76), azimuth(309,50,20.88),
+ gda_spheroid);
+
+ test_vincenty<P1, P2>(0, 0, 0, 50, 5540.847042, 0, 180, gda_spheroid); // N
+ test_vincenty<P1, P2>(0, 0, 0, -50, 5540.847042, 180, 0, gda_spheroid); // S
+ test_vincenty<P1, P2>(0, 0, 50, 0, 5565.974540, 90, -90, gda_spheroid); // E
+ test_vincenty<P1, P2>(0, 0, -50, 0, 5565.974540, -90, 90, gda_spheroid); // W
+
+ test_vincenty<P1, P2>(0, 0, 50, 50, 7284.879297, azimuth(32,51,55.87), azimuth(237,24,50.12), gda_spheroid); // NE
+
+ // The original distance values, azimuths calculated using the web form mentioned above
+ // Using default spheroid units (meters)
+ test_vincenty<P1, P2>(0, 89, 1, 80, 1005153.5769, azimuth(178,53,23.85), azimuth(359,53,18.35)); // sub-polar
+ test_vincenty<P1, P2>(4, 52, 4, 52, 0.0, 0, 0); // no point difference
+ test_vincenty<P1, P2>(4, 52, 3, 40, 1336039.890, azimuth(183,41,29.08), azimuth(2,58,5.13)); // normal case
+
+ test_side<P1, P2>(0, 0, 0, 1, 0, 2, 0);
+ test_side<P1, P2>(0, 0, 0, 1, 0, -2, 0);
+ test_side<P1, P2>(10, 0, 10, 1, 10, 2, 0);
+ test_side<P1, P2>(10, 0, 10, -1, 10, 2, 0);
+
+ test_side<P1, P2>(10, 0, 10, 1, 0, 2, 1); // left
+ test_side<P1, P2>(10, 0, 10, -1, 0, 2, -1); // right
+
+ test_side<P1, P2>(-10, -10, 10, 10, 10, 0, -1); // right
+ test_side<P1, P2>(-10, -10, 10, 10, -10, 0, 1); // left
+ test_side<P1, P2>(170, -10, -170, 10, -170, 0, -1); // right
+ test_side<P1, P2>(170, -10, -170, 10, 170, 0, 1); // left
+}
+
+template <typename P>
+void test_all()
+{
+ test_all<P, P>();
+}
+
+int test_main(int, char* [])
+{
+ //test_all<float[2]>();
+ //test_all<double[2]>();
+ test_all<bg::model::point<double, 2, bg::cs::geographic<bg::degree> > >();
+ test_all<bg::model::point<float, 2, bg::cs::geographic<bg::degree> > >();
+ test_all<bg::model::point<int, 2, bg::cs::geographic<bg::degree> > >();
+
+#if defined(HAVE_TTMATH)
+ test_all<bg::model::point<ttmath::Big<1,4>, 2, bg::cs::geographic<bg::degree> > >();
+ test_all<bg::model::point<ttmath_big, 2, bg::cs::geographic<bg::degree> > >();
+#endif
+
+
+ return 0;
+}
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