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

   1 // Boost.Geometry
   2 // Unit Test
   3
   4 // Copyright (c) 2016-2020 Oracle and/or its affiliates.
   5
   6 // Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
   7 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
   8
   9 // Use, modification and distribution is subject to the Boost Software License,
  10 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
  11 // http://www.boost.org/LICENSE_1_0.txt)
  12
  13 #ifndef BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP
  14 #define BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP
  15
  16 struct coordinates
  17 {
  18     double lon;
  19     double lat;
  20 };
  21
  22 struct expected_result
  23 {
  24     double lon2;
  25     double lat2;
  26     double reverse_azimuth;
  27     double reduced_length;
  28     double geodesic_scale;
  29 };
  30
  31 struct expected_results
  32 {
  33     coordinates p1;
  34     double distance;
  35     double azimuth12;
  36     expected_result karney;
  37     expected_result vincenty;
  38     expected_result thomas;
  39     expected_result thomas1st;
  40     expected_result series;
  41     expected_result spherical;
  42 };
  43
  44 expected_results expected[] =
  45 {
  46
  47         {
  48             { 0, 0 }, 250000, 0,
  49             { 0.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
  50             { 0.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
  51             { 0.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
  52             { 0.00000000000000000000, 2.26091190837723177154, 0.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
  53             { 0.00000000000000000000, 2.26091191238508226746, 0.00000000000000000000, 249935.55905602785060182214, 0.99922674639115527384 },
  54             { 0.00000000000000000000, 2.24830091939884413321, 0.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
  55         },{
  56             { 0, 0 }, 250000, 45,
  57             { 1.58842150169031337548, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
  58             { 1.58842150168977558344, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
  59             { 1.58842149958854261804, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
  60             { 1.58842150075770360829, 1.59850419406187715943, 45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
  61             { 1.58842150169031270934, 1.59850419267109744581, 45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
  62             { 1.59019688120571478507, 1.58958477520588337129, 45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
  63         },{
  64             { 0, 0 }, 250000, 90,
  65             { 2.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  66             { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  67             { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  68             { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  69             { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  70             { 2.24830091939884413321, 0.00000000000000013763, 90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
  71         },{
  72             { 0, 0 }, 250000, 135,
  73             { 1.58842150169031337548, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
  74             { 1.58842150168977580549, -1.59850419267017707092, 134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
  75             { 1.58842149958854261804, -1.59850419056543602281, 134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
  76             { 1.58842150075770360829, -1.59850419406187760352, 134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
  77             { 1.58842150169033402562, -1.59850419267108945220, 134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
  78             { 1.59019688120571345280, -1.58958477520588448151, 134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
  79         },{
  80             { 0, 0 }, 250000, 180,
  81             { 0.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
  82             { 0.00000000000000027517, -2.26091191236402178077, 180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
  83             { 0.00000000000000000000, -2.26091189386641744363, 180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
  84             { 0.00000000000000000000, -2.26091190837723177154, 180.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
  85             { 0.00000000000000000000, -2.26091191238511468597, 180.00000000000000000000, 249935.55905603148858062923, 0.99922674639115527384 },
  86             { 0.00000000000000000000, -2.24830091939884635366, 180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
  87         },{
  88             { 0, 0 }, 250000, -45,
  89             { -1.58842150169031337548, 1.59850419267109766785, -45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
  90             { -1.58842150168977558344, 1.59850419267017707092, -45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
  91             { -1.58842149958854261804, 1.59850419056543535667, -45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
  92             { -1.58842150075770360829, 1.59850419406187715943, -45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
  93             { -1.58842150169031270934, 1.59850419267109744581, -45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
  94             { -1.59019688120571478507, 1.58958477520588337129, -45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
  95         },{
  96             { 0, 0 }, 250000, -90,
  97             { -2.24578821029880382198, 0.00000000000000000000, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  98             { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
  99             { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 100             { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 101             { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 102             { -2.24830091939884413321, 0.00000000000000013763, -90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 103         },{
 104             { 0, 0 }, 250000, -135,
 105             { -1.58842150169031337548, -1.59850419267109766785, -134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
 106             { -1.58842150168977580549, -1.59850419267017707092, -134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
 107             { -1.58842149958854261804, -1.59850419056543602281, -134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
 108             { -1.58842150075770360829, -1.59850419406187760352, -134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
 109             { -1.58842150169033402562, -1.59850419267108945220, -134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
 110             { -1.59019688120571345280, -1.58958477520588448151, -134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
 111         },{
 112             { 0, 0 }, 250000, -180,
 113             { 0.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 114             { -0.00000000000000027517, -2.26091191236402178077, -180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 115             { 0.00000000000000000000, -2.26091189386641744363, -180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
 116             { 0.00000000000000000000, -2.26091190837723177154, -180.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
 117             { 0.00000000000000000000, -2.26091191238511468597, -180.00000000000000000000, 249935.55905603148858062923, 0.99922674639115527384 },
 118             { 0.00000000000000000000, -2.24830091939884635366, -180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 119         },{
 120             { -1, 0 }, 250000, 0,
 121             { -1.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 122             { -1.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 123             { -1.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
 124             { -1.00000000000000000000, 2.26091190837723177154, 0.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
 125             { -1.00000000000000000000, 2.26091191238508226746, 0.00000000000000000000, 249935.55905602785060182214, 0.99922674639115527384 },
 126             { -1.00000000000000000000, 2.24830091939884413321, 0.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 127         },{
 128             { -1, 0 }, 250000, 45,
 129             { 0.58842150169031337548, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
 130             { 0.58842150168977558344, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
 131             { 0.58842149958854272906, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
 132             { 0.58842150075770371931, 1.59850419406187715943, 45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
 133             { 0.58842150169031270934, 1.59850419267109744581, 45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
 134             { 0.59019688120571467405, 1.58958477520588337129, 45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
 135         },{
 136             { -1, 0 }, 250000, 90,
 137             { 1.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 138             { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 139             { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 140             { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 141             { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 142             { 1.24830091939884435526, 0.00000000000000013763, 90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 143         },{
 144             { -1, 0 }, 250000, 135,
 145             { 0.58842150169031337548, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
 146             { 0.58842150168977569447, -1.59850419267017707092, 134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
 147             { 0.58842149958854272906, -1.59850419056543602281, 134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
 148             { 0.58842150075770371931, -1.59850419406187760352, 134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
 149             { 0.58842150169033402562, -1.59850419267108945220, 134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
 150             { 0.59019688120571345280, -1.58958477520588448151, 134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
 151         },{
 152             { -1, 0 }, 250000, 180,
 153             { -1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 154             { -0.99999999999999977796, -2.26091191236402178077, 180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 155             { -1.00000000000000000000, -2.26091189386641744363, 180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
 156             { -1.00000000000000000000, -2.26091190837723177154, 180.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
 157             { -1.00000000000000000000, -2.26091191238511468597, 180.00000000000000000000, 249935.55905603148858062923, 0.99922674639115527384 },
 158             { -1.00000000000000000000, -2.24830091939884635366, 180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 159         },{
 160             { -1, 0 }, 250000, -45,
 161             { -2.58842150169031359752, 1.59850419267109766785, -45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
 162             { -2.58842150168977536140, 1.59850419267017707092, -45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
 163             { -2.58842149958854284009, 1.59850419056543535667, -45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
 164             { -2.58842150075770360829, 1.59850419406187715943, -45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
 165             { -2.58842150169031270934, 1.59850419267109744581, -45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
 166             { -2.59019688120571478507, 1.58958477520588337129, -45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
 167         },{
 168             { -1, 0 }, 250000, -90,
 169             { -3.24578821029880382198, 0.00000000000000000000, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 170             { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 171             { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 172             { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 173             { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 174             { -3.24830091939884457730, 0.00000000000000013763, -90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 175         },{
 176             { -1, 0 }, 250000, -135,
 177             { -2.58842150169031359752, -1.59850419267109766785, -134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
 178             { -2.58842150168977580549, -1.59850419267017707092, -134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
 179             { -2.58842149958854284009, -1.59850419056543602281, -134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
 180             { -2.58842150075770360829, -1.59850419406187760352, -134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
 181             { -2.58842150169027718221, -1.59850419267108945220, -134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
 182             { -2.59019688120571345280, -1.58958477520588448151, -134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
 183         },{
 184             { -1, 0 }, 250000, -180,
 185             { -1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 186             { -1.00000000000000022204, -2.26091191236402178077, -180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 187             { -1.00000000000000000000, -2.26091189386641744363, -180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
 188             { -1.00000000000000000000, -2.26091190837723177154, -180.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
 189             { -1.00000000000000000000, -2.26091191238511468597, -180.00000000000000000000, 249935.55905603148858062923, 0.99922674639115527384 },
 190             { -1.00000000000000000000, -2.24830091939884635366, -180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 191         },{
 192             { 1, 0 }, 250000, 0,
 193             { 1.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
 194             { 1.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
 195             { 1.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
 196             { 1.00000000000000000000, 2.26091190837723177154, 0.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
 197             { 1.00000000000000000000, 2.26091191238508226746, 0.00000000000000000000, 249935.55905602785060182214, 0.99922674639115527384 },
 198             { 1.00000000000000000000, 2.24830091939884413321, 0.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 199         },{
 200             { 1, 0 }, 250000, 45,
 201             { 2.58842150169031359752, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
 202             { 2.58842150168977536140, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
 203             { 2.58842149958854284009, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
 204             { 2.58842150075770360829, 1.59850419406187715943, 45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
 205             { 2.58842150169031270934, 1.59850419267109744581, 45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
 206             { 2.59019688120571478507, 1.58958477520588337129, 45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
 207         },{
 208             { 1, 0 }, 250000, 90,
 209             { 3.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
 210             { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 211             { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 212             { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 213             { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
 214             { 3.24830091939884457730, 0.00000000000000013763, 90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 215         },{
 216             { 1, 0 }, 250000, 135,
 217             { 2.58842150169031359752, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
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 566             { 2.59120965314638818100, 2.58919942720574303152, 45.04983919357213295598, 0.00000000000000000000, 1.00000000000000000000 }
 567         },{
 568             { 1, 1 }, 250000, 90,
 569             { 3.24612766651409989649, 0.99922666842209439952, 90.03919022849945008602, 249935.55891569345840252936, 0.99922674685767398639 },
 570             { 3.24612766651347328661, 0.99922666842209484361, 90.03919022849945008602, 249935.55891513981623575091, 0.99922674686822765544 },
 571             { 3.24612766651409989649, 0.99922666842208562876, 90.03919022849967745969, 249935.55891660030465573072, 0.99922674686821866263 },
 572             { 3.24612766651409812013, 0.99922666841944918215, 90.03919022856645426600, 249935.55934300230001099408, 0.99922674685495815883 },
 573             { 3.24612766651412920638, 0.99922666842209206806, 90.03919022849945008602, 249935.55891566010541282594, 0.99922674685767398639 },
 574             { 3.24864304714222429382, 0.99923012194947880005, 90.03923416180586514201, 0.00000000000000000000, 1.00000000000000000000 }
 575         },{
 576             { 1, 1 }, 250000, 135,
 577             { 2.58789352027561747605, -0.59889382252477618707, 135.00555901266011460393, 249935.55869720416376367211, 0.99922674484119022864 },
 578             { 2.58789352027508279264, -0.59889382252384604222, 135.00555901266014302564, 249935.55869934437214396894, 0.99922674484277662632 },
 579             { 2.58789351816042811905, -0.59889382039736038799, 135.00555901268222669387, 249935.55836710284347645938, 0.99922674484483320345 },
 580             { 2.58789351933467859368, -0.59889382227058296504, 135.00555901266275782291, 249935.55866038758540526032, 0.99922674484142481877 },
 581             { 2.58789352027559971248, -0.59889382252475087398, 135.00555901266014302564, 249935.55869721240014769137, 0.99922674484119011762 },
 582             { 2.58966906957482478902, -0.58996975014221753053, 135.00568903667726772255, 0.00000000000000000000, 1.00000000000000000000 }
 583         },{
 584             { 1, 1 }, 250000, 180,
 585             { 1.00000000000000000000, -1.26092062918498104551, -180.00000000000000000000, 249935.55872467698645778000, 0.99922674479230122468 },
 586             { 1.00000000000000022204, -1.26092062916373448545, 180.00000000000000000000, 249935.55872643628390505910, 0.99922674479075712650 },
 587             { 1.00000000000000000000, -1.26092061053506587776, 180.00000000000000000000, 249935.55666816755547188222, 0.99922674480349771287 },
 588             { 1.00000000000000000000, -1.26092062023552875516, 180.00000000000000000000, 249935.55774092715000733733, 0.99922674479840822848 },
 589             { 1.00000000000000000000, -1.26092062918495328994, 180.00000000000000000000, 249935.55872469520545564592, 0.99922674479230122468 },
 590             { 1.00000000000000000000, -1.24830091939885789998, 180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 591         },{
 592             { 1, 1 }, 250000, -45,
 593             { -0.58943065821228057821, 2.59810442478829362045, -45.04990703751319358616, 249935.55953696221695281565, 0.99922675155892082266 },
 594             { -0.58943065821171236607, 2.59810442478739123118, -45.04990703751315805903, 249935.55953448649961501360, 0.99922675162094765078 },
 595             { -0.58943065613921030721, 2.59810442273856923023, -45.04990703742064539483, 249935.55921406255220063031, 0.99922675162293117523 },
 596             { -0.58943065729835331101, 2.59810443328209572655, -45.04990703789670902779, 249935.56090466640307568014, 0.99922675155085038945 },
 597             { -0.58943065821227913492, 2.59810442478829228818, -45.04990703751319358616, 249935.55953712644986808300, 0.99922675155892171084 },
 598             { -0.59120965314638784793, 2.58919942720574303152, -45.04983919357213295598, 0.00000000000000000000, 1.00000000000000000000 }
 599         },{
 600             { 1, 1 }, 250000, -90,
 601             { -1.24612766651409989649, 0.99922666842209439952, -90.03919022849945008602, 249935.55891569345840252936, 0.99922674685767398639 },
 602             { -1.24612766651347328661, 0.99922666842209484361, -90.03919022849945008602, 249935.55891513981623575091, 0.99922674686822765544 },
 603             { -1.24612766651409945240, 0.99922666842208562876, -90.03919022849967745969, 249935.55891660030465573072, 0.99922674686821866263 },
 604             { -1.24612766651409834218, 0.99922666841944918215, -90.03919022856645426600, 249935.55934300230001099408, 0.99922674685495815883 },
 605             { -1.24612766651412942842, 0.99922666842209206806, -90.03919022849945008602, 249935.55891566010541282594, 0.99922674685767398639 },
 606             { -1.24864304714222140724, 0.99923012194947880005, -90.03923416180586514201, 0.00000000000000000000, 1.00000000000000000000 }
 607         },{
 608             { 1, 1 }, 250000, -135,
 609             { -0.58789352027561725400, -0.59889382252477618707, -135.00555901266011460393, 249935.55869720416376367211, 0.99922674484119022864 },
 610             { -0.58789352027508301468, -0.59889382252384604222, -135.00555901266014302564, 249935.55869934437214396894, 0.99922674484277662632 },
 611             { -0.58789351816042800802, -0.59889382039736038799, -135.00555901268222669387, 249935.55836710284347645938, 0.99922674484483320345 },
 612             { -0.58789351933467837164, -0.59889382227058296504, -135.00555901266275782291, 249935.55866038758540526032, 0.99922674484142481877 },
 613             { -0.58789352027559971248, -0.59889382252475087398, -135.00555901266014302564, 249935.55869721240014769137, 0.99922674484119011762 },
 614             { -0.58966906957488163243, -0.58996975014221753053, -135.00568903667726772255, 0.00000000000000000000, 1.00000000000000000000 }
 615         },{
 616             { 1, 1 }, 250000, -180,
 617             { 1.00000000000000000000, -1.26092062918498104551, -180.00000000000000000000, 249935.55872467698645778000, 0.99922674479230122468 },
 618             { 0.99999999999999977796, -1.26092062916373448545, -180.00000000000000000000, 249935.55872643628390505910, 0.99922674479075712650 },
 619             { 1.00000000000000000000, -1.26092061053506587776, -180.00000000000000000000, 249935.55666816755547188222, 0.99922674480349771287 },
 620             { 1.00000000000000000000, -1.26092062023552875516, -180.00000000000000000000, 249935.55774092715000733733, 0.99922674479840822848 },
 621             { 1.00000000000000000000, -1.26092062918495328994, -180.00000000000000000000, 249935.55872469520545564592, 0.99922674479230122468 },
 622             { 1.00000000000000000000, -1.24830091939885789998, -180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 623         },{
 624             { 1, -1 }, 250000, 0,
 625             { 1.00000000000000000000, 1.26092062918498104551, 0.00000000000000000000, 249935.55872467698645778000, 0.99922674479230122468 },
 626             { 1.00000000000000000000, 1.26092062916373448545, 0.00000000000000000000, 249935.55872643628390505910, 0.99922674479075712650 },
 627             { 1.00000000000000000000, 1.26092061053506587776, 0.00000000000000000000, 249935.55666816755547188222, 0.99922674480349771287 },
 628             { 1.00000000000000000000, 1.26092062023552875516, 0.00000000000000000000, 249935.55774092715000733733, 0.99922674479840822848 },
 629             { 1.00000000000000000000, 1.26092062918495995127, 0.00000000000000000000, 249935.55872469596215523779, 0.99922674479230122468 },
 630             { 1.00000000000000000000, 1.24830091939884435526, 0.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 631         },{
 632             { 1, -1 }, 250000, 45,
 633             { 2.58789352027561747605, 0.59889382252477618707, 44.99444098733987829064, 249935.55869720416376367211, 0.99922674484119022864 },
 634             { 2.58789352027508279264, 0.59889382252384637528, 44.99444098733987118521, 249935.55869934445945546031, 0.99922674484277662632 },
 635             { 2.58789351816042811905, 0.59889382039736038799, 44.99444098731778751699, 249935.55836710281437262893, 0.99922674484483320345 },
 636             { 2.58789351933467859368, 0.59889382227058296504, 44.99444098733723507166, 249935.55866038752719759941, 0.99922674484142481877 },
 637             { 2.58789352027561658787, 0.59889382252477563195, 44.99444098733987829064, 249935.55869721624185331166, 0.99922674484119011762 },
 638             { 2.58966906957485276664, 0.58996975014221642031, 44.99431096332273227745, 0.00000000000000000000, 1.00000000000000000000 }
 639         },{
 640             { 1, -1 }, 250000, 90,
 641             { 3.24612766651409989649, -0.99922666842209439952, 89.96080977150054991398, 249935.55891569345840252936, 0.99922674685767398639 },
 642             { 3.24612766651347328661, -0.99922666842209439952, 89.96080977150054991398, 249935.55891513984533958137, 0.99922674686822765544 },
 643             { 3.24612766651409989649, -0.99922666842208529570, 89.96080977150032254031, 249935.55891660030465573072, 0.99922674686821844059 },
 644             { 3.24612766651409812013, -0.99922666841944873806, 89.96080977143354573400, 249935.55934300241642631590, 0.99922674685495815883 },
 645             { 3.24612766651407813612, -0.99922666842209184601, 89.96080977150054991398, 249935.55891566007630899549, 0.99922674685767387537 },
 646             { 3.24864304714222429382, -0.99923012194947846698, 89.96076583819413485799, 0.00000000000000000000, 1.00000000000000000000 }
 647         },{
 648             { 1, -1 }, 250000, 135,
 649             { 2.58943065821228035617, -2.59810442478829362045, 134.95009296248679220298, 249935.55953696221695281565, 0.99922675155892082266 },
 650             { 2.58943065821171281016, -2.59810442478739078709, 134.95009296248684904640, 249935.55953448649961501360, 0.99922675162094776180 },
 651             { 2.58943065613921019619, -2.59810442273856878614, 134.95009296257936171060, 249935.55921406237757764757, 0.99922675162293117523 },
 652             { 2.58943065729835319999, -2.59810443328209572655, 134.95009296210329807764, 249935.56090466637397184968, 0.99922675155085038945 },
 653             { 2.58943065821226792167, -2.59810442478831138402, 134.95009296248679220298, 249935.55953712956397794187, 0.99922675155892148879 },
 654             { 2.59120965314638285193, -2.58919942720575324557, 134.95016080642784572774, 0.00000000000000000000, 1.00000000000000000000 }
 655         },{
 656             { 1, -1 }, 250000, 180,
 657             { 1.00000000000000000000, -3.26088938011404927408, -180.00000000000000000000, 249935.55991226507467217743, 0.99922675429255258805 },
 658             { 1.00000000000000022204, -3.26088938009322193423, 180.00000000000000000000, 249935.55988221566076390445, 0.99922675435769237051 },
 659             { 1.00000000000000000000, -3.26088936183515265554, 180.00000000000000000000, 249935.55786483851261436939, 0.99922675437017982603 },
 660             { 1.00000000000000000000, -3.26088938879229361945, 180.00000000000000000000, 249935.56092769638053141534, 0.99922675428677187881 },
 661             { 1.00000000000000000000, -3.26088938011400975014, 180.00000000000000000000, 249935.55991249711951240897, 0.99922675429255336521 },
 662             { 0.99999999999998867573, -3.24830091939884901819, 180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 663         },{
 664             { 1, -1 }, 250000, -45,
 665             { -0.58789352027561725400, 0.59889382252477618707, -44.99444098733987829064, 249935.55869720416376367211, 0.99922674484119022864 },
 666             { -0.58789352027508279264, 0.59889382252384637528, -44.99444098733987118521, 249935.55869934445945546031, 0.99922674484277662632 },
 667             { -0.58789351816042800802, 0.59889382039736038799, -44.99444098731778751699, 249935.55836710281437262893, 0.99922674484483320345 },
 668             { -0.58789351933467837164, 0.59889382227058296504, -44.99444098733723507166, 249935.55866038752719759941, 0.99922674484142481877 },
 669             { -0.58789352027561669889, 0.59889382252477563195, -44.99444098733987829064, 249935.55869721624185331166, 0.99922674484119011762 },
 670             { -0.58966906957485232255, 0.58996975014221642031, -44.99431096332273227745, 0.00000000000000000000, 1.00000000000000000000 }
 671         },{
 672             { 1, -1 }, 250000, -90,
 673             { -1.24612766651409989649, -0.99922666842209439952, -89.96080977150054991398, 249935.55891569345840252936, 0.99922674685767398639 },
 674             { -1.24612766651347328661, -0.99922666842209439952, -89.96080977150054991398, 249935.55891513984533958137, 0.99922674686822765544 },
 675             { -1.24612766651409945240, -0.99922666842208529570, -89.96080977150032254031, 249935.55891660030465573072, 0.99922674686821844059 },
 676             { -1.24612766651409834218, -0.99922666841944873806, -89.96080977143354573400, 249935.55934300241642631590, 0.99922674685495815883 },
 677             { -1.24612766651407835816, -0.99922666842209184601, -89.96080977150054991398, 249935.55891566007630899549, 0.99922674685767387537 },
 678             { -1.24864304714222140724, -0.99923012194947846698, -89.96076583819413485799, 0.00000000000000000000, 1.00000000000000000000 }
 679         },{
 680             { 1, -1 }, 250000, -135,
 681             { -0.58943065821228057821, -2.59810442478829362045, -134.95009296248679220298, 249935.55953696221695281565, 0.99922675155892082266 },
 682             { -0.58943065821171258811, -2.59810442478739078709, -134.95009296248684904640, 249935.55953448649961501360, 0.99922675162094776180 },
 683             { -0.58943065613921030721, -2.59810442273856878614, -134.95009296257936171060, 249935.55921406237757764757, 0.99922675162293117523 },
 684             { -0.58943065729835331101, -2.59810443328209572655, -134.95009296210329807764, 249935.56090466637397184968, 0.99922675155085038945 },
 685             { -0.58943065821226814371, -2.59810442478831138402, -134.95009296248679220298, 249935.55953712956397794187, 0.99922675155892148879 },
 686             { -0.59120965314640527843, -2.58919942720575324557, -134.95016080642784572774, 0.00000000000000000000, 1.00000000000000000000 }
 687         },{
 688             { 1, -1 }, 250000, -180,
 689             { 1.00000000000000000000, -3.26088938011404927408, -180.00000000000000000000, 249935.55991226507467217743, 0.99922675429255258805 },
 690             { 0.99999999999999977796, -3.26088938009322193423, -180.00000000000000000000, 249935.55988221566076390445, 0.99922675435769237051 },
 691             { 1.00000000000000000000, -3.26088936183515265554, -180.00000000000000000000, 249935.55786483851261436939, 0.99922675437017982603 },
 692             { 1.00000000000000000000, -3.26088938879229361945, -180.00000000000000000000, 249935.56092769638053141534, 0.99922675428677187881 },
 693             { 1.00000000000000000000, -3.26088938011400975014, -180.00000000000000000000, 249935.55991249711951240897, 0.99922675429255336521 },
 694             { 0.99999999999998867573, -3.24830091939884901819, -180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
 695         },{
 696             { 179.5, 0 }, 111680, 90,
 697             { -179.49676149069535, 0, 90, 111674.25489879806, 0.99984567401255886 },
 698             { -179.49676149069532, 0, 90, 111674.25489879814, 0.99984567401255886 },
 699             { -179.49676149069532, 0, 90, 111674.25489879814, 0.99984567401255886 },
 700             { -179.49676149069532, 0, 90, 111674.25489879814, 0.99984567401255886 },
 701             { -179.49676149069532, 0, 90, 111674.25489879814, 0.99984567401255886 },
 702             { -179.49563901328614, 0, 90, 0.0000000000000000, 1.00000000000000000 }
 703         }
 704
 705 };
 706
 707 size_t const expected_size = sizeof(expected) / sizeof(expected_results);
 708 #endif // BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP