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1 // Boost.Geometry
2 // Unit Test
3 
4 // Copyright (c) 2016-2018 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 // Contributed and/or modified by Adeel Ahmad, as part of Google Summer of Code 2018 program
9 
10 // Use, modification and distribution is subject to the Boost Software License,
11 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
12 // http://www.boost.org/LICENSE_1_0.txt)
13 
14 #include "test_formula.hpp"
15 #include "direct_cases.hpp"
16 #include "direct_cases_antipodal.hpp"
17 
18 #include <boost/geometry/formulas/vincenty_direct.hpp>
19 #include <boost/geometry/formulas/thomas_direct.hpp>
20 #include <boost/geometry/formulas/karney_direct.hpp>
21 //#include <boost/geometry/formulas/series_expansion_direct.hpp>
22 #include <boost/geometry/formulas/spherical.hpp>
23 
24 #include <boost/geometry/srs/srs.hpp>
25 
26 #ifdef BOOST_GEOEMTRY_TEST_WITH_GEOGRAPHICLIB
27 #include <GeographicLib/Geodesic.hpp>
28 #include <GeographicLib/Constants.hpp>
29 #endif // BOOST_GEOEMTRY_TEST_WITH_GEOGRAPHICLIB
30 
symmetrize_wrt_origin(expected_result & r)31 inline void symmetrize_wrt_origin(expected_result & r)
32 {
33     r.lon2 = -r.lon2;
34     r.lat2 = -r.lat2;
35     r.reduced_length = -r.reduced_length;
36 }
37 
symmetric_wrt_origin(expected_results r)38 inline expected_results symmetric_wrt_origin(expected_results r)
39 {
40     r.distance = -r.distance;
41     symmetrize_wrt_origin(r.karney);
42     symmetrize_wrt_origin(r.series);
43     symmetrize_wrt_origin(r.spherical);
44     symmetrize_wrt_origin(r.thomas);
45     symmetrize_wrt_origin(r.thomas1st);
46     symmetrize_wrt_origin(r.vincenty);
47     return r;
48 }
49 
50 template <typename Result>
check_direct(Result const & result,expected_result const & expected,expected_result const & reference,double reference_error,bool check_reference_only=false)51 void check_direct(Result const& result, expected_result const& expected, expected_result const& reference,
52                   double reference_error, bool check_reference_only = false)
53 {
54     check_direct_sph(result, expected, reference, reference_error, check_reference_only);
55     check_one(result.reduced_length, expected.reduced_length, reference.reduced_length, reference_error);
56     check_one(result.geodesic_scale, expected.geodesic_scale, reference.geodesic_scale, reference_error);
57 }
58 
59 template <typename Result>
check_direct_sph(Result const & result,expected_result const & expected,expected_result const & reference,double reference_error,bool check_reference_only=false)60 void check_direct_sph(Result const& result, expected_result const& expected, expected_result const& reference,
61                       double reference_error, bool check_reference_only = false)
62 {
63     check_one(result.lon2, expected.lon2, reference.lon2, reference_error, true, check_reference_only);
64     check_one(result.lat2, expected.lat2, reference.lat2, reference_error, true, check_reference_only);
65     check_one(result.reverse_azimuth, expected.reverse_azimuth, reference.reverse_azimuth, reference_error, true, check_reference_only);
66 }
67 
test_all(expected_results const & results)68 void test_all(expected_results const& results)
69 {
70     double const d2r = bg::math::d2r<double>();
71     double const r2d = bg::math::r2d<double>();
72 
73     double lon1r = results.p1.lon * d2r;
74     double lat1r = results.p1.lat * d2r;
75     double distance = results.distance;
76     double azi12r = results.azimuth12 * d2r;
77 
78     double lon1d = results.p1.lon;
79     double lat1d = results.p1.lat;
80     double azi12d = results.azimuth12;
81 
82     // WGS84
83     bg::srs::spheroid<double> spheroid(6378137.0, 6356752.3142451793);
84     bg::srs::sphere<double> const sphere;
85 
86     bg::formula::result_direct<double> result;
87 
88     typedef bg::formula::vincenty_direct<double, true, true, true, true> vi_t;
89     result = vi_t::apply(lon1r, lat1r, distance, azi12r, spheroid);
90     result.lon2 *= r2d;
91     result.lat2 *= r2d;
92     result.reverse_azimuth *= r2d;
93     check_direct(result, results.vincenty, results.karney, 0.00000001);
94 
95     typedef bg::formula::thomas_direct<double, true, true, true, true, true> th_t;
96     result = th_t::apply(lon1r, lat1r, distance, azi12r, spheroid);
97     result.lon2 *= r2d;
98     result.lat2 *= r2d;
99     result.reverse_azimuth *= r2d;
100     check_direct(result, results.thomas, results.karney, 0.0000001);
101 
102     typedef bg::formula::thomas_direct<double, false, true, true, true, true> th_t1st;
103     result = th_t1st::apply(lon1r, lat1r, distance, azi12r, spheroid);
104     result.lon2 *= r2d;
105     result.lat2 *= r2d;
106     result.reverse_azimuth *= r2d;
107     check_direct(result, results.thomas1st, results.karney, 0.0000001);
108 /*
109     typedef bg::formula::series_expansion_direct<double, true, true, true, true, 4> series;
110     result = series::apply(lon1r, lat1r, distance, azi12r, spheroid);
111     result.lon2 *= r2d;
112     result.lat2 *= r2d;
113     result.reverse_azimuth *= r2d;
114     check_direct(result, results.series, results.karney, 0.0000001);
115 */
116     result = bg::formula::spherical_direct<true, true>(lon1r, lat1r, distance,
117                                                        azi12r, sphere);
118     result.lon2 *= r2d;
119     result.lat2 *= r2d;
120     result.reverse_azimuth *= r2d;
121     check_direct_sph(result, results.spherical, results.karney, 0.1);
122 
123     typedef bg::formula::karney_direct<double, true, true, true, true, 2> ka_t;
124     result = ka_t::apply(lon1d, lat1d, distance, azi12d, spheroid);
125     check_direct(result, results.karney, results.karney, 0.0000001);
126 
127 #ifdef BOOST_GEOEMTRY_TEST_WITH_GEOGRAPHICLIB
128     {
129         using namespace GeographicLib;
130         Geodesic geod(Constants::WGS84_a(), Constants::WGS84_f());
131         double foo = 0;
132         geod.Direct(lat1d, lon1d, azi12d, distance,
133                     result.lat2, result.lon2, result.reverse_azimuth,
134                     result.reduced_length, result.geodesic_scale, foo);
135         boost::ignore_unused(foo);
136         check_direct(result, results.karney, results.karney, 0.0000001);
137     }
138 #endif
139 }
140 
test_karney_antipodal(expected_results_antipodal const & results)141 void test_karney_antipodal(expected_results_antipodal const& results)
142 {
143     double lon1d = results.p1.lon;
144     double lat1d = results.p1.lat;
145     double distance = results.distance;
146     double azi12d = results.azimuth12;
147 
148     // WGS84
149     bg::srs::spheroid<double> spheroid(6378137.0, 6356752.3142451793);
150 
151     bg::formula::result_direct<double> result;
152 
153     typedef bg::formula::karney_direct<double, true, true, true, true, 8> ka_t;
154     result = ka_t::apply(lon1d, lat1d, distance, azi12d, spheroid);
155     check_direct(result, results.karney, results.karney, 0.0000001, true);
156 }
157 
test_main(int,char * [])158 int test_main(int, char*[])
159 {
160     for (size_t i = 0; i < expected_size; ++i)
161     {
162         test_all(expected[i]);
163 
164         if (expected[i].p1.lon == 0 && expected[i].p1.lat == 0)
165         {
166             test_all(symmetric_wrt_origin(expected[i]));
167         }
168     }
169 
170     for (size_t i = 0; i < expected_size_antipodal; ++i)
171     {
172         test_karney_antipodal(expected_antipodal[i]);
173     }
174 
175     return 0;
176 }
177