123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330 |
- // 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;
- }
|