ceph/src/boost/libs/geometry/test/formulas/direct_cases.hpp

   1 // Boost.Geometry
   2 // Unit Test
   3
   4 // Copyright (c) 2016 Oracle and/or its affiliates.
   5
   6 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
   7
   8 // Use, modification and distribution is subject to the Boost Software License,
   9 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
  10 // http://www.boost.org/LICENSE_1_0.txt)
  11
  12 #ifndef BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP
  13 #define BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP
  14
  15 struct coordinates
  16 {
  17     double lon;
  18     double lat;
  19 };
  20
  21 struct expected_result
  22 {
  23     double lon2;
  24     double lat2;
  25     double reverse_azimuth;
  26     double reduced_length;
  27     double geodesic_scale;
  28 };
  29
  30 struct expected_results
  31 {
  32     coordinates p1;
  33     double distance;
  34     double azimuth12;
  35     expected_result karney;
  36     expected_result vincenty;
  37     expected_result thomas;
  38 };
  39
  40 expected_results expected[] =
  41 {
  42     {
  43         { 0, 0 }, 250000, 0,
  44         { 0.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
  45         { 0.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
  46         { 0.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
  47     },{
  48         { 0, 0 }, 250000, 45,
  49         { 1.58842150169031337548, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
  50         { 1.58842150168977558344, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
  51         { 1.58842149958854261804, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 }
  52     },{
  53         { 0, 0 }, 250000, 90,
  54         { 2.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  55         { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  56         { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 }
  57     },{
  58         { 0, 0 }, 250000, 135,
  59         { 1.58842150169031337548, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
  60         { 1.58842150168977580549, -1.59850419267017707092, 134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
  61         { 1.58842149958854261804, -1.59850419056543602281, 134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 }
  62     },{
  63         { 0, 0 }, 250000, 180,
  64         { 0.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
  65         { 0.00000000000000027517, -2.26091191236402178077, 180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
  66         { 0.00000000000000000000, -2.26091189386641744363, 180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
  67     },{
  68         { 0, 0 }, 250000, -45,
  69         { -1.58842150169031337548, 1.59850419267109766785, -45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
  70         { -1.58842150168977558344, 1.59850419267017707092, -45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
  71         { -1.58842149958854261804, 1.59850419056543535667, -45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 }
  72     },{
  73         { 0, 0 }, 250000, -90,
  74         { -2.24578821029880382198, 0.00000000000000000000, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  75         { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  76         { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 }
  77     },{
  78         { 0, 0 }, 250000, -135,
  79         { -1.58842150169031337548, -1.59850419267109766785, -134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
  80         { -1.58842150168977580549, -1.59850419267017707092, -134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
  81         { -1.58842149958854261804, -1.59850419056543602281, -134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 }
  82     },{
  83         { 0, 0 }, 250000, -180,
  84         { 0.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
  85         { -0.00000000000000027517, -2.26091191236402178077, -180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
  86         { 0.00000000000000000000, -2.26091189386641744363, -180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
  87     },{
  88         { -1, 0 }, 250000, 0,
  89         { -1.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
  90         { -1.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
  91         { -1.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
  92     },{
  93         { -1, 0 }, 250000, 45,
  94         { 0.58842150169031337548, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
  95         { 0.58842150168977558344, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
  96         { 0.58842149958854272906, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 }
  97     },{
  98         { -1, 0 }, 250000, 90,
  99         { 1.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 100         { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 101         { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 }
 102     },{
 103         { -1, 0 }, 250000, 135,
 104         { 0.58842150169031337548, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
 105         { 0.58842150168977569447, -1.59850419267017707092, 134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
 106         { 0.58842149958854272906, -1.59850419056543602281, 134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 }
 107     },{
 108         { -1, 0 }, 250000, 180,
 109         { -1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 110         { -0.99999999999999977796, -2.26091191236402178077, 180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 111         { -1.00000000000000000000, -2.26091189386641744363, 180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
 112     },{
 113         { -1, 0 }, 250000, -45,
 114         { -2.58842150169031359752, 1.59850419267109766785, -45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
 115         { -2.58842150168977536140, 1.59850419267017707092, -45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
 116         { -2.58842149958854284009, 1.59850419056543535667, -45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 }
 117     },{
 118         { -1, 0 }, 250000, -90,
 119         { -3.24578821029880382198, 0.00000000000000000000, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 120         { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 121         { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 }
 122     },{
 123         { -1, 0 }, 250000, -135,
 124         { -2.58842150169031359752, -1.59850419267109766785, -134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
 125         { -2.58842150168977580549, -1.59850419267017707092, -134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
 126         { -2.58842149958854284009, -1.59850419056543602281, -134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 }
 127     },{
 128         { -1, 0 }, 250000, -180,
 129         { -1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 130         { -1.00000000000000022204, -2.26091191236402178077, -180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 131         { -1.00000000000000000000, -2.26091189386641744363, -180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
 132     },{
 133         { 1, 0 }, 250000, 0,
 134         { 1.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 135         { 1.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 136         { 1.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
 137     },{
 138         { 1, 0 }, 250000, 45,
 139         { 2.58842150169031359752, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
 140         { 2.58842150168977536140, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
 141         { 2.58842149958854284009, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 }
 142     },{
 143         { 1, 0 }, 250000, 90,
 144         { 3.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 145         { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 146         { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 }
 147     },{
 148         { 1, 0 }, 250000, 135,
 149         { 2.58842150169031359752, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
 150         { 2.58842150168977580549, -1.59850419267017707092, 134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
 151         { 2.58842149958854284009, -1.59850419056543602281, 134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 }
 152     },{
 153         { 1, 0 }, 250000, 180,
 154         { 1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 155         { 1.00000000000000022204, -2.26091191236402178077, 180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 156         { 1.00000000000000000000, -2.26091189386641744363, 180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
 157     },{
 158         { 1, 0 }, 250000, -45,
 159         { -0.58842150169031337548, 1.59850419267109766785, -45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
 160         { -0.58842150168977558344, 1.59850419267017707092, -45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
 161         { -0.58842149958854272906, 1.59850419056543535667, -45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 }
 162     },{
 163         { 1, 0 }, 250000, -90,
 164         { -1.24578821029880382198, 0.00000000000000000000, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 165         { -1.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 166         { -1.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 }
 167     },{
 168         { 1, 0 }, 250000, -135,
 169         { -0.58842150169031337548, -1.59850419267109766785, -134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
 170         { -0.58842150168977569447, -1.59850419267017707092, -134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
 171         { -0.58842149958854272906, -1.59850419056543602281, -134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 }
 172     },{
 173         { 1, 0 }, 250000, -180,
 174         { 1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 175         { 0.99999999999999977796, -2.26091191236402178077, -180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 176         { 1.00000000000000000000, -2.26091189386641744363, -180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 }
 177     },{
 178         { 0, -1 }, 250000, 0,
 179         { 0.00000000000000000000, 1.26092062918498104551, 0.00000000000000000000, 249935.55872467698645778000, 0.99922674479230122468 },
 180         { 0.00000000000000000000, 1.26092062916373448545, 0.00000000000000000000, 249935.55872643628390505910, 0.99922674479075712650 },
 181         { 0.00000000000000000000, 1.26092061053506587776, 0.00000000000000000000, 249935.55666816755547188222, 0.99922674480349771287 }
 182     },{
 183         { 0, -1 }, 250000, 45,
 184         { 1.58789352027561725400, 0.59889382252477618707, 44.99444098733987829064, 249935.55869720416376367211, 0.99922674484119022864 },
 185         { 1.58789352027508279264, 0.59889382252384637528, 44.99444098733987118521, 249935.55869934445945546031, 0.99922674484277662632 },
 186         { 1.58789351816042789700, 0.59889382039736038799, 44.99444098731778751699, 249935.55836710281437262893, 0.99922674484483320345 }
 187     },{
 188         { 0, -1 }, 250000, 90,
 189         { 2.24612766651409989649, -0.99922666842209439952, 89.96080977150054991398, 249935.55891569345840252936, 0.99922674685767398639 },
 190         { 2.24612766651347328661, -0.99922666842209439952, 89.96080977150054991398, 249935.55891513984533958137, 0.99922674686822765544 },
 191         { 2.24612766651409945240, -0.99922666842208529570, 89.96080977150032254031, 249935.55891660030465573072, 0.99922674686821844059 }
 192     },{
 193         { 0, -1 }, 250000, 135,
 194         { 1.58943065821228057821, -2.59810442478829362045, 134.95009296248679220298, 249935.55953696221695281565, 0.99922675155892082266 },
 195         { 1.58943065821171258811, -2.59810442478739078709, 134.95009296248684904640, 249935.55953448649961501360, 0.99922675162094776180 },
 196         { 1.58943065613921019619, -2.59810442273856878614, 134.95009296257936171060, 249935.55921406237757764757, 0.99922675162293117523 }
 197     },{
 198         { 0, -1 }, 250000, 180,
 199         { 0.00000000000000000000, -3.26088938011404927408, -180.00000000000000000000, 249935.55991226507467217743, 0.99922675429255258805 },
 200         { 0.00000000000000027540, -3.26088938009322193423, 180.00000000000000000000, 249935.55988221566076390445, 0.99922675435769237051 },
 201         { 0.00000000000000000000, -3.26088936183515265554, 180.00000000000000000000, 249935.55786483851261436939, 0.99922675437017982603 }
 202     },{
 203         { 0, -1 }, 250000, -45,
 204         { -1.58789352027561725400, 0.59889382252477618707, -44.99444098733987829064, 249935.55869720416376367211, 0.99922674484119022864 },
 205         { -1.58789352027508279264, 0.59889382252384637528, -44.99444098733987118521, 249935.55869934445945546031, 0.99922674484277662632 },
 206         { -1.58789351816042789700, 0.59889382039736038799, -44.99444098731778751699, 249935.55836710281437262893, 0.99922674484483320345 }
 207     },{
 208         { 0, -1 }, 250000, -90,
 209         { -2.24612766651409989649, -0.99922666842209439952, -89.96080977150054991398, 249935.55891569345840252936, 0.99922674685767398639 },
 210         { -2.24612766651347328661, -0.99922666842209439952, -89.96080977150054991398, 249935.55891513984533958137, 0.99922674686822765544 },
 211         { -2.24612766651409945240, -0.99922666842208529570, -89.96080977150032254031, 249935.55891660030465573072, 0.99922674686821844059 }
 212     },{
 213         { 0, -1 }, 250000, -135,
 214         { -1.58943065821228057821, -2.59810442478829362045, -134.95009296248679220298, 249935.55953696221695281565, 0.99922675155892082266 },
 215         { -1.58943065821171258811, -2.59810442478739078709, -134.95009296248684904640, 249935.55953448649961501360, 0.99922675162094776180 },
 216         { -1.58943065613921019619, -2.59810442273856878614, -134.95009296257936171060, 249935.55921406237757764757, 0.99922675162293117523 }
 217     },{
 218         { 0, -1 }, 250000, -180,
 219         { 0.00000000000000000000, -3.26088938011404927408, -180.00000000000000000000, 249935.55991226507467217743, 0.99922675429255258805 },
 220         { -0.00000000000000027540, -3.26088938009322193423, -180.00000000000000000000, 249935.55988221566076390445, 0.99922675435769237051 },
 221         { 0.00000000000000000000, -3.26088936183515265554, -180.00000000000000000000, 249935.55786483851261436939, 0.99922675437017982603 }
 222     },{
 223         { 0, 1 }, 250000, 0,
 224         { 0.00000000000000000000, 3.26088938011404927408, 0.00000000000000000000, 249935.55991226507467217743, 0.99922675429255258805 },
 225         { 0.00000000000000000000, 3.26088938009322193423, 0.00000000000000000000, 249935.55988221566076390445, 0.99922675435769237051 },
 226         { 0.00000000000000000000, 3.26088936183515265554, 0.00000000000000000000, 249935.55786483851261436939, 0.99922675437017982603 }
 227     },{
 228         { 0, 1 }, 250000, 45,
 229         { 1.58943065821228057821, 2.59810442478829362045, 45.04990703751319358616, 249935.55953696221695281565, 0.99922675155892082266 },
 230         { 1.58943065821171236607, 2.59810442478739123118, 45.04990703751315805903, 249935.55953448649961501360, 0.99922675162094765078 },
 231         { 1.58943065613921019619, 2.59810442273856923023, 45.04990703742064539483, 249935.55921406255220063031, 0.99922675162293117523 }
 232     },{
 233         { 0, 1 }, 250000, 90,
 234         { 2.24612766651409989649, 0.99922666842209439952, 90.03919022849945008602, 249935.55891569345840252936, 0.99922674685767398639 },
 235         { 2.24612766651347328661, 0.99922666842209484361, 90.03919022849945008602, 249935.55891513981623575091, 0.99922674686822765544 },
 236         { 2.24612766651409945240, 0.99922666842208562876, 90.03919022849967745969, 249935.55891660030465573072, 0.99922674686821866263 }
 237     },{
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 434         { -1.24612766651409989649, -0.99922666842209439952, -89.96080977150054991398, 249935.55891569345840252936, 0.99922674685767398639 },
 435         { -1.24612766651347328661, -0.99922666842209439952, -89.96080977150054991398, 249935.55891513984533958137, 0.99922674686822765544 },
 436         { -1.24612766651409945240, -0.99922666842208529570, -89.96080977150032254031, 249935.55891660030465573072, 0.99922674686821844059 }
 437     },{
 438         { 1, -1 }, 250000, -135,
 439         { -0.58943065821228057821, -2.59810442478829362045, -134.95009296248679220298, 249935.55953696221695281565, 0.99922675155892082266 },
 440         { -0.58943065821171258811, -2.59810442478739078709, -134.95009296248684904640, 249935.55953448649961501360, 0.99922675162094776180 },
 441         { -0.58943065613921030721, -2.59810442273856878614, -134.95009296257936171060, 249935.55921406237757764757, 0.99922675162293117523 }
 442     },{
 443         { 1, -1 }, 250000, -180,
 444         { 1.00000000000000000000, -3.26088938011404927408, -180.00000000000000000000, 249935.55991226507467217743, 0.99922675429255258805 },
 445         { 0.99999999999999977796, -3.26088938009322193423, -180.00000000000000000000, 249935.55988221566076390445, 0.99922675435769237051 },
 446         { 1.00000000000000000000, -3.26088936183515265554, -180.00000000000000000000, 249935.55786483851261436939, 0.99922675437017982603 }
 447     }
 448 };
 449
 450 size_t const expected_size = sizeof(expected) / sizeof(expected_results);
 451
 452 #endif // BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP