ceph/src/boost/libs/geometry/test/strategies/andoyer.cpp

   1 // Boost.Geometry (aka GGL, Generic Geometry Library)
   2 // Unit Test
   3
   4 // Copyright (c) 2007-2016 Barend Gehrels, Amsterdam, the Netherlands.
   5 // Copyright (c) 2008-2016 Bruno Lalande, Paris, France.
   6 // Copyright (c) 2009-2016 Mateusz Loskot, London, UK.
   7
   8 // This file was modified by Oracle on 2014-2017.
   9 // Modifications copyright (c) 2014-2017 Oracle and/or its affiliates.
  10
  11 // Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
  12 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
  13
  14 // Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
  15 // (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands.
  16
  17 // Use, modification and distribution is subject to the Boost Software License,
  18 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
  19 // http://www.boost.org/LICENSE_1_0.txt)
  20
  21
  22 #include <geometry_test_common.hpp>
  23
  24 #include <boost/concept_check.hpp>
  25
  26 #include <boost/geometry/algorithms/assign.hpp>
  27 #include <boost/geometry/algorithms/distance.hpp>
  28 #include <boost/geometry/geometries/point.hpp>
  29 #include <boost/geometry/srs/spheroid.hpp>
  30 #include <boost/geometry/strategies/concepts/distance_concept.hpp>
  31 #include <boost/geometry/strategies/geographic/distance_andoyer.hpp>
  32 #include <boost/geometry/strategies/geographic/side_andoyer.hpp>
  33
  34 #include <test_common/test_point.hpp>
  35
  36 double make_deg(double deg, double min, double sec)
  37 {
  38     return deg + min / 60.0 + sec / 3600.0;
  39 }
  40
  41 double to_rad(double deg)
  42 {
  43     return bg::math::pi<double>() * deg / 180.0;
  44 }
  45
  46 double to_deg(double rad)
  47 {
  48     return 180.0 * rad / bg::math::pi<double>();
  49 }
  50
  51 double normlized_deg(double deg)
  52 {
  53     if (deg > 180)
  54         return deg - 360;
  55     else if (deg < -180)
  56         return deg + 360;
  57     else
  58         return deg;
  59 }
  60
  61
  62 template <typename P1, typename P2>
  63 void test_distance(double lon1, double lat1, double lon2, double lat2, double expected_km)
  64 {
  65     // Set radius type, but for integer coordinates we want to have floating point radius type
  66     typedef typename bg::promote_floating_point
  67         <
  68             typename bg::coordinate_type<P1>::type
  69         >::type rtype;
  70
  71     typedef bg::srs::spheroid<rtype> stype;
  72
  73     typedef bg::strategy::distance::andoyer<stype> andoyer_type;
  74     typedef bg::strategy::distance::geographic<bg::strategy::andoyer, stype> geographic_type;
  75     typedef bg::formula::andoyer_inverse<rtype, true, false> andoyer_inverse_type;
  76
  77     BOOST_CONCEPT_ASSERT
  78         (
  79             (bg::concepts::PointDistanceStrategy<andoyer_type, P1, P2>)
  80         );
  81
  82     andoyer_type andoyer;
  83     geographic_type geographic;
  84     typedef typename bg::strategy::distance
  85         ::services::return_type<andoyer_type, P1, P2>::type return_type;
  86
  87     P1 p1;
  88     P2 p2;
  89
  90     bg::assign_values(p1, lon1, lat1);
  91     bg::assign_values(p2, lon2, lat2);
  92
  93     return_type d_strategy = andoyer.apply(p1, p2);
  94     return_type d_strategy2 = geographic.apply(p1, p2);
  95     return_type d_function = bg::distance(p1, p2, andoyer);
  96
  97     double diff = bg::math::longitude_distance_signed<bg::degree>(lon1, lon2);
  98     return_type d_formula;
  99
 100     // if the points lay on a meridian, distance strategy calls the special formula
 101     // for meridian distance that returns different result than andoyer formula
 102     // for nearly antipodal points
 103     if (bg::math::equals(diff, 0.0)
 104        || bg::math::equals(bg::math::abs(diff), 180.0))
 105     {
 106         d_formula = d_strategy;
 107     }
 108     else
 109     {
 110         d_formula = andoyer_inverse_type::apply(to_rad(lon1), to_rad(lat1),
 111                                                 to_rad(lon2), to_rad(lat2),
 112                                                 stype()).distance;
 113     }
 114
 115     BOOST_CHECK_CLOSE(d_strategy / 1000.0, expected_km, 0.001);
 116     BOOST_CHECK_CLOSE(d_strategy2 / 1000.0, expected_km, 0.001);
 117     BOOST_CHECK_CLOSE(d_function / 1000.0, expected_km, 0.001);
 118     BOOST_CHECK_CLOSE(d_formula / 1000.0, expected_km, 0.001);
 119 }
 120
 121 template <typename PS, typename P>
 122 void test_azimuth(double lon1, double lat1,
 123                   double lon2, double lat2,
 124                   double expected_azimuth_deg)
 125 {
 126     // Set radius type, but for integer coordinates we want to have floating point radius type
 127     typedef typename bg::promote_floating_point
 128         <
 129             typename bg::coordinate_type<PS>::type
 130         >::type rtype;
 131
 132     typedef bg::srs::spheroid<rtype> stype;
 133     typedef bg::formula::andoyer_inverse<rtype, false, true> andoyer_inverse_type;
 134
 135     rtype a_formula = andoyer_inverse_type::apply(to_rad(lon1), to_rad(lat1), to_rad(lon2), to_rad(lat2), stype()).azimuth;
 136
 137     rtype azimuth_deg = to_deg(a_formula);
 138
 139     if (bg::math::equals(azimuth_deg, -180.0))
 140         azimuth_deg = 180.0;
 141     if (bg::math::equals(expected_azimuth_deg, -180.0))
 142         expected_azimuth_deg = 180.0;
 143
 144     if (bg::math::equals(expected_azimuth_deg, 0.0))
 145     {
 146         BOOST_CHECK(bg::math::equals(azimuth_deg, expected_azimuth_deg));
 147     }
 148     else
 149     {
 150         BOOST_CHECK_CLOSE(azimuth_deg, expected_azimuth_deg, 0.001);
 151     }
 152 }
 153
 154 template <typename P1, typename P2>
 155 void test_distazi(double lon1, double lat1, double lon2, double lat2,
 156                   double expected_km, double expected_azimuth_deg)
 157 {
 158     test_distance<P1, P2>(lon1, lat1, lon2, lat2, expected_km);
 159     test_azimuth<P1, P2>(lon1, lat1, lon2, lat2, expected_azimuth_deg);
 160 }
 161
 162 // requires SW->NE
 163 template <typename P1, typename P2>
 164 void test_distazi_symm(double lon1, double lat1, double lon2, double lat2,
 165                        double expected_km, double expected_azimuth_deg,
 166                        bool is_antipodal = false)
 167 {
 168     double d180 = is_antipodal ? 0 : 180;
 169     test_distazi<P1, P2>(lon1, lat1, lon2, lat2, expected_km, expected_azimuth_deg);
 170     test_distazi<P1, P2>(-lon1, lat1, -lon2, lat2, expected_km, -expected_azimuth_deg);
 171     test_distazi<P1, P2>(lon1, -lat1, lon2, -lat2, expected_km, d180 - expected_azimuth_deg);
 172     test_distazi<P1, P2>(-lon1, -lat1, -lon2, -lat2, expected_km, -d180 + expected_azimuth_deg);
 173 }
 174
 175 template <typename P1, typename P2>
 176 void test_distazi_symmNS(double lon1, double lat1, double lon2, double lat2,
 177                          double expected_km, double expected_azimuth_deg)
 178 {
 179     test_distazi<P1, P2>(lon1, lat1, lon2, lat2, expected_km, expected_azimuth_deg);
 180     test_distazi<P1, P2>(lon1, -lat1, lon2, -lat2, expected_km, 180 - expected_azimuth_deg);
 181 }
 182
 183
 184 template <typename PS, typename P>
 185 void test_side(double lon1, double lat1,
 186                double lon2, double lat2,
 187                double lon, double lat,
 188                int expected_side)
 189 {
 190     // Set radius type, but for integer coordinates we want to have floating point radius type
 191     typedef typename bg::promote_floating_point
 192         <
 193             typename bg::coordinate_type<PS>::type
 194         >::type rtype;
 195
 196     typedef bg::srs::spheroid<rtype> stype;
 197
 198     typedef bg::strategy::side::andoyer<stype> strategy_type;
 199     typedef bg::strategy::side::geographic<bg::strategy::andoyer, stype> strategy2_type;
 200
 201     strategy_type strategy;
 202     strategy2_type strategy2;
 203
 204     PS p1, p2;
 205     P p;
 206
 207     bg::assign_values(p1, lon1, lat1);
 208     bg::assign_values(p2, lon2, lat2);
 209     bg::assign_values(p, lon, lat);
 210
 211     int side = strategy.apply(p1, p2, p);
 212     int side2 = strategy2.apply(p1, p2, p);
 213
 214     BOOST_CHECK_EQUAL(side, expected_side);
 215     BOOST_CHECK_EQUAL(side2, expected_side);
 216 }
 217
 218 template <typename P1, typename P2>
 219 void test_all()
 220 {
 221     // polar
 222     test_distazi<P1, P2>(0, 90, 1, 80,
 223                          1116.814237, 179);
 224
 225     // no point difference
 226     test_distazi<P1, P2>(4, 52, 4, 52,
 227                          0.0, 0.0);
 228
 229     // normal cases
 230     test_distazi<P1, P2>(4, 52, 3, 40,
 231                          1336.039890, -176.3086);
 232     test_distazi<P1, P2>(3, 52, 4, 40,
 233                          1336.039890, 176.3086);
 234     test_distazi<P1, P2>(make_deg(17, 19, 43.28),
 235                          make_deg(40, 30, 31.151),
 236                          18, 40,
 237                          80.323245,
 238                          make_deg(134, 27, 50.05));
 239
 240     // antipodal
 241     // ok? in those cases shorter path would pass through a pole
 242     // but 90 or -90 would be consistent with distance?
 243     test_distazi<P1, P2>(0, 0,  180, 0, 20003.9, 0.0);
 244     test_distazi<P1, P2>(0, 0, -180, 0, 20003.9, 0.0);
 245     test_distazi<P1, P2>(-90, 0, 90, 0, 20003.9, 0.0);
 246     test_distazi<P1, P2>(90, 0, -90, 0, 20003.9, 0.0);
 247
 248     // 0, 45, 90 ...
 249     for (int i = 0 ; i < 360 ; i += 45)
 250     {
 251         // 0 45 90 ...
 252         double l = normlized_deg(i);
 253         // -1 44 89 ...
 254         double l1 = normlized_deg(i - 1);
 255         // 1 46 91 ...
 256         double l2 = normlized_deg(i + 1);
 257
 258         // near equator
 259         test_distazi_symm<P1, P2>(l1, -1, l2, 1, 313.7956, 45.1964);
 260
 261         // near poles
 262         test_distazi_symmNS<P1, P2>(l, -89.5, l, 89.5, 19892.2, 0.0);
 263         test_distazi_symmNS<P1, P2>(l, -89.6, l, 89.6, 19914.6, 0.0);
 264         test_distazi_symmNS<P1, P2>(l, -89.7, l, 89.7, 19936.9, 0.0);
 265         test_distazi_symmNS<P1, P2>(l, -89.8, l, 89.8, 19959.2, 0.0);
 266         test_distazi_symmNS<P1, P2>(l, -89.9, l, 89.9, 19981.6, 0.0);
 267         test_distazi_symmNS<P1, P2>(l, -89.99, l, 89.99, 20001.7, 0.0);
 268         test_distazi_symmNS<P1, P2>(l, -89.999, l, 89.999, 20003.7, 0.0);
 269         // antipodal
 270         test_distazi_symmNS<P1, P2>(l, -90, l, 90, 20003.9, 0.0);
 271
 272         test_distazi_symm<P1, P2>(normlized_deg(l-10.0), -10.0, normlized_deg(l+135), 45, 14892.1, 34.1802);
 273         test_distazi_symm<P1, P2>(normlized_deg(l-30.0), -30.0, normlized_deg(l+135), 45, 17890.7, 33.7002);
 274         test_distazi_symm<P1, P2>(normlized_deg(l-40.0), -40.0, normlized_deg(l+135), 45, 19319.7, 33.4801);
 275         test_distazi_symm<P1, P2>(normlized_deg(l-41.0), -41.0, normlized_deg(l+135), 45, 19459.1, 33.2408);
 276         test_distazi_symm<P1, P2>(normlized_deg(l-42.0), -42.0, normlized_deg(l+135), 45, 19597.8, 32.7844);
 277         test_distazi_symm<P1, P2>(normlized_deg(l-43.0), -43.0, normlized_deg(l+135), 45, 19735.8, 31.7784);
 278         test_distazi_symm<P1, P2>(normlized_deg(l-44.0), -44.0, normlized_deg(l+135), 45, 19873.0, 28.5588);
 279         test_distazi_symm<P1, P2>(normlized_deg(l-44.1), -44.1, normlized_deg(l+135), 45, 19886.7, 27.8304);
 280         test_distazi_symm<P1, P2>(normlized_deg(l-44.2), -44.2, normlized_deg(l+135), 45, 19900.4, 26.9173);
 281         test_distazi_symm<P1, P2>(normlized_deg(l-44.3), -44.3, normlized_deg(l+135), 45, 19914.1, 25.7401);
 282         test_distazi_symm<P1, P2>(normlized_deg(l-44.4), -44.4, normlized_deg(l+135), 45, 19927.7, 24.1668);
 283         test_distazi_symm<P1, P2>(normlized_deg(l-44.5), -44.5, normlized_deg(l+135), 45, 19941.4, 21.9599);
 284         test_distazi_symm<P1, P2>(normlized_deg(l-44.6), -44.6, normlized_deg(l+135), 45, 19955.0, 18.6438);
 285         test_distazi_symm<P1, P2>(normlized_deg(l-44.7), -44.7, normlized_deg(l+135), 45, 19968.6, 13.1096);
 286         test_distazi_symm<P1, P2>(normlized_deg(l-44.8), -44.8, normlized_deg(l+135), 45, 19982.3, 2.0300);
 287         // nearly antipodal
 288         test_distazi_symm<P1, P2>(normlized_deg(l-44.9), -44.9, normlized_deg(l+135), 45, 19995.9, 0.0);
 289         test_distazi_symm<P1, P2>(normlized_deg(l-44.95), -44.95, normlized_deg(l+135), 45, 20002.7, 0.0);
 290         test_distazi_symm<P1, P2>(normlized_deg(l-44.99), -44.99, normlized_deg(l+135), 45, 20008.1, 0.0);
 291         test_distazi_symm<P1, P2>(normlized_deg(l-44.999), -44.999, normlized_deg(l+135), 45, 20009.4, 0.0);
 292         // antipodal
 293         test_distazi_symm<P1, P2>(normlized_deg(l-45), -45, normlized_deg(l+135), 45, 20003.92, 0.0, true);
 294     }
 295
 296     /* SQL Server gives:
 297         1116.82586908528, 0, 1336.02721932545
 298
 299        with:
 300 SELECT 0.001 * geography::STGeomFromText('POINT(0 90)', 4326).STDistance(geography::STGeomFromText('POINT(1 80)', 4326))
 301 union SELECT 0.001 * geography::STGeomFromText('POINT(4 52)', 4326).STDistance(geography::STGeomFromText('POINT(4 52)', 4326))
 302 union SELECT 0.001 * geography::STGeomFromText('POINT(4 52)', 4326).STDistance(geography::STGeomFromText('POINT(3 40)', 4326))
 303      */
 304
 305
 306     test_side<P1, P2>(0, 0, 0, 1, 0, 2, 0);
 307     test_side<P1, P2>(0, 0, 0, 1, 0, -2, 0);
 308     test_side<P1, P2>(10, 0, 10, 1, 10, 2, 0);
 309     test_side<P1, P2>(10, 0, 10, -1, 10, 2, 0);
 310
 311     test_side<P1, P2>(10, 0, 10, 1, 0, 2, 1); // left
 312     test_side<P1, P2>(10, 0, 10, -1, 0, 2, -1); // right
 313
 314     test_side<P1, P2>(-10, -10, 10, 10, 10, 0, -1); // right
 315     test_side<P1, P2>(-10, -10, 10, 10, -10, 0, 1); // left
 316     test_side<P1, P2>(170, -10, -170, 10, -170, 0, -1); // right
 317     test_side<P1, P2>(170, -10, -170, 10, 170, 0, 1); // left
 318 }
 319
 320 template <typename P>
 321 void test_all()
 322 {
 323     test_all<P, P>();
 324 }
 325
 326 int test_main(int, char* [])
 327 {
 328     //test_all<float[2]>();
 329     //test_all<double[2]>();
 330     //test_all<bg::model::point<int, 2, bg::cs::geographic<bg::degree> > >();
 331     //test_all<bg::model::point<float, 2, bg::cs::geographic<bg::degree> > >();
 332     test_all<bg::model::point<double, 2, bg::cs::geographic<bg::degree> > >();
 333
 334     return 0;
 335 }