EQ2EMu/EQ2/source/depends/boost_1_72_0/libs/geometry/test/formulas/direct_cases.hpp

// Boost.Geometry
// Unit Test

// Copyright (c) 2016-2018 Oracle and/or its affiliates.

// Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle

// 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)

#ifndef BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP
#define BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP

struct coordinates
{
    double lon;
    double lat;
};

struct expected_result
{
    double lon2;
    double lat2;
    double reverse_azimuth;
    double reduced_length;
    double geodesic_scale;
};

struct expected_results
{
    coordinates p1;
    double distance;
    double azimuth12;
    expected_result karney;
    expected_result vincenty;
    expected_result thomas;
    expected_result thomas1st;
    expected_result series;
    expected_result spherical;
};

expected_results expected[] =
{

        {
            { 0, 0 }, 250000, 0,
            { 0.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
            { 0.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
            { 0.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
            { 0.00000000000000000000, 2.26091190837723177154, 0.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
            { 0.00000000000000000000, 2.26091191238508226746, 0.00000000000000000000, 249935.55905602785060182214, 0.99922674639115527384 },
            { 0.00000000000000000000, 2.24830091939884413321, 0.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 0, 0 }, 250000, 45,
            { 1.58842150169031337548, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
            { 1.58842150168977558344, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
            { 1.58842149958854261804, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
            { 1.58842150075770360829, 1.59850419406187715943, 45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
            { 1.58842150169031270934, 1.59850419267109744581, 45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
            { 1.59019688120571478507, 1.58958477520588337129, 45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 0, 0 }, 250000, 90,
            { 2.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 2.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 2.24830091939884413321, 0.00000000000000013763, 90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 0, 0 }, 250000, 135,
            { 1.58842150169031337548, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
            { 1.58842150168977580549, -1.59850419267017707092, 134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
            { 1.58842149958854261804, -1.59850419056543602281, 134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
            { 1.58842150075770360829, -1.59850419406187760352, 134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
            { 1.58842150169033402562, -1.59850419267108945220, 134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
            { 1.59019688120571345280, -1.58958477520588448151, 134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 0, 0 }, 250000, 180,
            { 0.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
            { 0.00000000000000027517, -2.26091191236402178077, 180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
            { 0.00000000000000000000, -2.26091189386641744363, 180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
            { 0.00000000000000000000, -2.26091190837723177154, 180.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
            { 0.00000000000000000000, -2.26091191238511468597, 180.00000000000000000000, 249935.55905603148858062923, 0.99922674639115527384 },
            { 0.00000000000000000000, -2.24830091939884635366, 180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 0, 0 }, 250000, -45,
            { -1.58842150169031337548, 1.59850419267109766785, -45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
            { -1.58842150168977558344, 1.59850419267017707092, -45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
            { -1.58842149958854261804, 1.59850419056543535667, -45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
            { -1.58842150075770360829, 1.59850419406187715943, -45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
            { -1.58842150169031270934, 1.59850419267109744581, -45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
            { -1.59019688120571478507, 1.58958477520588337129, -45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 0, 0 }, 250000, -90,
            { -2.24578821029880382198, 0.00000000000000000000, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { -2.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { -2.24830091939884413321, 0.00000000000000013763, -90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 0, 0 }, 250000, -135,
            { -1.58842150169031337548, -1.59850419267109766785, -134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
            { -1.58842150168977580549, -1.59850419267017707092, -134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
            { -1.58842149958854261804, -1.59850419056543602281, -134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
            { -1.58842150075770360829, -1.59850419406187760352, -134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
            { -1.58842150169033402562, -1.59850419267108945220, -134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
            { -1.59019688120571345280, -1.58958477520588448151, -134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 0, 0 }, 250000, -180,
            { 0.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
            { -0.00000000000000027517, -2.26091191236402178077, -180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
            { 0.00000000000000000000, -2.26091189386641744363, -180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
            { 0.00000000000000000000, -2.26091190837723177154, -180.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
            { 0.00000000000000000000, -2.26091191238511468597, -180.00000000000000000000, 249935.55905603148858062923, 0.99922674639115527384 },
            { 0.00000000000000000000, -2.24830091939884635366, -180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, 0,
            { -1.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
            { -1.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
            { -1.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
            { -1.00000000000000000000, 2.26091190837723177154, 0.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
            { -1.00000000000000000000, 2.26091191238508226746, 0.00000000000000000000, 249935.55905602785060182214, 0.99922674639115527384 },
            { -1.00000000000000000000, 2.24830091939884413321, 0.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, 45,
            { 0.58842150169031337548, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
            { 0.58842150168977558344, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
            { 0.58842149958854272906, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
            { 0.58842150075770371931, 1.59850419406187715943, 45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
            { 0.58842150169031270934, 1.59850419267109744581, 45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
            { 0.59019688120571467405, 1.58958477520588337129, 45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, 90,
            { 1.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 1.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 1.24830091939884435526, 0.00000000000000013763, 90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, 135,
            { 0.58842150169031337548, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
            { 0.58842150168977569447, -1.59850419267017707092, 134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
            { 0.58842149958854272906, -1.59850419056543602281, 134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
            { 0.58842150075770371931, -1.59850419406187760352, 134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
            { 0.58842150169033402562, -1.59850419267108945220, 134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
            { 0.59019688120571345280, -1.58958477520588448151, 134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, 180,
            { -1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
            { -0.99999999999999977796, -2.26091191236402178077, 180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
            { -1.00000000000000000000, -2.26091189386641744363, 180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
            { -1.00000000000000000000, -2.26091190837723177154, 180.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
            { -1.00000000000000000000, -2.26091191238511468597, 180.00000000000000000000, 249935.55905603148858062923, 0.99922674639115527384 },
            { -1.00000000000000000000, -2.24830091939884635366, 180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, -45,
            { -2.58842150169031359752, 1.59850419267109766785, -45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
            { -2.58842150168977536140, 1.59850419267017707092, -45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
            { -2.58842149958854284009, 1.59850419056543535667, -45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
            { -2.58842150075770360829, 1.59850419406187715943, -45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
            { -2.58842150169031270934, 1.59850419267109744581, -45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
            { -2.59019688120571478507, 1.58958477520588337129, -45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, -90,
            { -3.24578821029880382198, 0.00000000000000000000, -90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
            { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
            { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
            { -3.24578821029880382198, 0.00000000000000013841, -90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
            { -3.24830091939884457730, 0.00000000000000013763, -90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, -135,
            { -2.58842150169031359752, -1.59850419267109766785, -134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
            { -2.58842150168977580549, -1.59850419267017707092, -134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
            { -2.58842149958854284009, -1.59850419056543602281, -134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
            { -2.58842150075770360829, -1.59850419406187760352, -134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
            { -2.58842150169027718221, -1.59850419267108945220, -134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
            { -2.59019688120571345280, -1.58958477520588448151, -134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { -1, 0 }, 250000, -180,
            { -1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
            { -1.00000000000000022204, -2.26091191236402178077, -180.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
            { -1.00000000000000000000, -2.26091189386641744363, -180.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
            { -1.00000000000000000000, -2.26091190837723177154, -180.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
            { -1.00000000000000000000, -2.26091191238511468597, -180.00000000000000000000, 249935.55905603148858062923, 0.99922674639115527384 },
            { -1.00000000000000000000, -2.24830091939884635366, -180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 1, 0 }, 250000, 0,
            { 1.00000000000000000000, 2.26091191238511868278, 0.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
            { 1.00000000000000000000, 2.26091191236402178077, 0.00000000000000000000, 249935.55905951990280300379, 0.99922674639116959572 },
            { 1.00000000000000000000, 2.26091189386641744363, 0.00000000000000000000, 249935.55701571033569052815, 0.99922674640382092015 },
            { 1.00000000000000000000, 2.26091190837723177154, 0.00000000000000000000, 249935.55863258230965584517, 0.99922674639389641449 },
            { 1.00000000000000000000, 2.26091191238508226746, 0.00000000000000000000, 249935.55905602785060182214, 0.99922674639115527384 },
            { 1.00000000000000000000, 2.24830091939884413321, 0.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 1, 0 }, 250000, 45,
            { 2.58842150169031359752, 1.59850419267109766785, 45.02216068943542381930, 249935.55885449703782796860, 0.99922674504834751996 },
            { 2.58842150168977536140, 1.59850419267017707092, 45.02216068943540250302, 249935.55886070139240473509, 0.99922674504834840814 },
            { 2.58842149958854284009, 1.59850419056543535667, 45.02216068937701010100, 249935.55853169565671123564, 0.99922674505038500126 },
            { 2.58842150075770360829, 1.59850419406187715943, 45.02216068947401339528, 249935.55908163820276968181, 0.99922674504700181863 },
            { 2.58842150169031270934, 1.59850419267109744581, 45.02216068943543092473, 249935.55885453775408677757, 0.99922674504834751996 },
            { 2.59019688120571478507, 1.58958477520588337129, 45.02206163500609648054, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 1, 0 }, 250000, 90,
            { 3.24578821029880382198, 0.00000000000000000000, 90.00000000000000000000, 249935.55865304186590947211, 0.99922674370552955203 },
            { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
            { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
            { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
            { 3.24578821029880382198, 0.00000000000000013841, 90.00000000000000000000, 249935.55865304192411713302, 0.99922674370552955203 },
            { 3.24830091939884457730, 0.00000000000000013763, 90.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 1, 0 }, 250000, 135,
            { 2.58842150169031359752, -1.59850419267109766785, 134.97783931056457618070, 249935.55885449703782796860, 0.99922674504834751996 },
            { 2.58842150168977580549, -1.59850419267017707092, 134.97783931056460460240, 249935.55886070139240473509, 0.99922674504834840814 },
            { 2.58842149958854284009, -1.59850419056543602281, 134.97783931062298279357, 249935.55853169583133421838, 0.99922674505038500126 },
            { 2.58842150075770360829, -1.59850419406187760352, 134.97783931052597949929, 249935.55908163831918500364, 0.99922674504700181863 },
            { 2.58842150169027718221, -1.59850419267108945220, 134.97783931056457618070, 249935.55885453653172589839, 0.99922674504834751996 },
            { 2.59019688120571345280, -1.58958477520588448151, 134.97793836499391773032, 0.00000000000000000000, 1.00000000000000000000 }
        },{
            { 1, 0 }, 250000, 180,
            { 1.00000000000000000000, -2.26091191238511868278, -180.00000000000000000000, 249935.55905595037620514631, 0.99922674639115516282 },
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            { 1.00000000000000000000, 1.24830091939884435526, 0.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
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            { 1.00000000000000000000, -3.26088938879229361945, 180.00000000000000000000, 249935.56092769638053141534, 0.99922675428677187881 },
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        },{
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            { -0.58789352027561725400, 0.59889382252477618707, -44.99444098733987829064, 249935.55869720416376367211, 0.99922674484119022864 },
            { -0.58789352027508279264, 0.59889382252384637528, -44.99444098733987118521, 249935.55869934445945546031, 0.99922674484277662632 },
            { -0.58789351816042800802, 0.59889382039736038799, -44.99444098731778751699, 249935.55836710281437262893, 0.99922674484483320345 },
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            { -1.24612766651409834218, -0.99922666841944873806, -89.96080977143354573400, 249935.55934300241642631590, 0.99922674685495815883 },
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            { 1.00000000000000000000, -3.26088938879229361945, -180.00000000000000000000, 249935.56092769638053141534, 0.99922675428677187881 },
            { 1.00000000000000000000, -3.26088938011400975014, -180.00000000000000000000, 249935.55991249711951240897, 0.99922675429255336521 },
            { 0.99999999999998867573, -3.24830091939884901819, -180.00000000000000000000, 0.00000000000000000000, 1.00000000000000000000 }
        }

};

size_t const expected_size = sizeof(expected) / sizeof(expected_results);
#endif // BOOST_GEOMETRY_TEST_DIRECT_CASES_HPP