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1 // Boost.Geometry (aka GGL, Generic Geometry Library)
2 // Unit Test
3
4 // Copyright (c) 2015-2017, Oracle and/or its affiliates.
5
6 // Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
7 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
8
9 // Licensed under the Boost Software License version 1.0.
10 // http://www.boost.org/users/license.html
11
12 #ifndef BOOST_GEOMETRY_TEST_ENVELOPE_EXPAND_ON_SPHEROID_HPP
13 #define BOOST_GEOMETRY_TEST_ENVELOPE_EXPAND_ON_SPHEROID_HPP
14
15
16 #include <algorithm>
17 #include <cmath>
18 #include <cstddef>
19 #include <iostream>
20
21 #include <boost/type_traits/is_same.hpp>
22
23 #include <boost/geometry/core/access.hpp>
24 #include <boost/geometry/core/coordinate_dimension.hpp>
25 #include <boost/geometry/core/cs.hpp>
26
27 #include <boost/geometry/util/condition.hpp>
28 #include <boost/geometry/util/math.hpp>
29
30 #include <boost/geometry/views/detail/indexed_point_view.hpp>
31
32 #include <boost/geometry/algorithms/assign.hpp>
33
34
35 struct rng
36 {
37 typedef double type;
38
39 rng(double l, double h)
40 : lo(l), hi(h)
41 {
42 BOOST_GEOMETRY_ASSERT(lo <= hi);
43 }
44
45 friend rng operator*(rng const& l, double v) { return rng(l.lo * v, l.hi * v); }
46
47 friend bool operator<=(rng const& l, rng const& r) { return l.lo <= r.hi; }
48 friend bool operator<=(double l, rng const& r) { return l <= r.hi; }
49 friend bool operator<=(rng const& l, double r) { return l.lo <= r; }
50
51 friend bool operator<(rng const& l, rng const& r) { return !operator<=(r, l); }
52 friend bool operator<(double l, rng const& r) { return !operator<=(r, l); }
53 friend bool operator<(rng const& l, double r) { return !operator<=(r, l); }
54
55 friend bool operator==(double l, rng const& r) { return r.lo <= l && l <= r.hi; }
56
57 friend std::ostream & operator<<(std::ostream & os, rng const& v)
58 {
59 return (os << "[" << v.lo << ", " << v.hi << "]");
60 }
61
62 double lo, hi;
63 };
64
65
66 template <typename Units>
67 char const* units2string()
68 {
69 if (BOOST_GEOMETRY_CONDITION((boost::is_same<Units, bg::degree>::value)))
70 {
71 return "degrees";
72 }
73 return "radians";
74 }
75
76 template <typename CoordinateSystem>
77 struct other_system_info
78 {};
79
80 template <>
81 struct other_system_info<bg::cs::spherical_equatorial<bg::radian> >
82 {
83 typedef bg::degree units;
84 typedef bg::cs::spherical_equatorial<units> type;
85
86 static inline double convert(double value)
87 {
88 return value * bg::math::r2d<double>();
89 }
90
91 static inline rng convert(rng const& value)
92 {
93 return value * bg::math::r2d<double>();
94 }
95 };
96
97 template <>
98 struct other_system_info<bg::cs::spherical_equatorial<bg::degree> >
99 {
100 typedef bg::radian units;
101 typedef bg::cs::spherical_equatorial<units> type;
102
103 static inline double convert(double value)
104 {
105 return value * bg::math::d2r<double>();
106 }
107
108 static inline rng convert(rng const& value)
109 {
110 return value * bg::math::d2r<double>();
111 }
112 };
113
114 template <>
115 struct other_system_info<bg::cs::spherical<bg::radian> >
116 {
117 typedef bg::degree units;
118 typedef bg::cs::spherical<units> type;
119
120 static inline double convert(double value)
121 {
122 return value * bg::math::r2d<double>();
123 }
124
125 static inline rng convert(rng const& value)
126 {
127 return value * bg::math::r2d<double>();
128 }
129 };
130
131 template <>
132 struct other_system_info<bg::cs::spherical<bg::degree> >
133 {
134 typedef bg::radian units;
135 typedef bg::cs::spherical<units> type;
136
137 static inline double convert(double value)
138 {
139 return value * bg::math::d2r<double>();
140 }
141
142 static inline rng convert(rng const& value)
143 {
144 return value * bg::math::d2r<double>();
145 }
146 };
147
148 template <>
149 struct other_system_info<bg::cs::geographic<bg::radian> >
150 {
151 typedef bg::degree units;
152 typedef bg::cs::geographic<units> type;
153
154 static inline double convert(double value)
155 {
156 return value * bg::math::r2d<double>();
157 }
158
159 static inline rng convert(rng const& value)
160 {
161 return value * bg::math::r2d<double>();
162 }
163 };
164
165 template <>
166 struct other_system_info<bg::cs::geographic<bg::degree> >
167 {
168 typedef bg::radian units;
169 typedef bg::cs::geographic<units> type;
170
171 static inline double convert(double value)
172 {
173 return value * bg::math::d2r<double>();
174 }
175
176 static inline rng convert(rng const& value)
177 {
178 return value * bg::math::d2r<double>();
179 }
180 };
181
182
183 class equals_with_tolerance
184 {
185 private:
186 double m_tolerence;
187
188 template <typename T>
189 static inline T const& get_max(T const& a, T const& b, T const& c)
190 {
191 return (std::max)((std::max)(a, b), c);
192 }
193
194 template <typename T>
195 static inline bool check_close(T const& a, T const& b, double tol)
196 {
197 return (a == b)
198 || (std::abs(a - b) <= tol * get_max(std::abs(a), std::abs(b), 1.0));
199 }
200
201 public:
202 equals_with_tolerance(double tolerence) : m_tolerence(tolerence) {}
203
204 inline bool operator()(double value1, double value2) const
205 {
206 return check_close(value1, value2, m_tolerence);
207 }
208
209 inline bool operator()(double l, rng const& r) const
210 {
211 return (r.lo < l && l < r.hi)
212 || check_close(l, r.lo, m_tolerence)
213 || check_close(l, r.hi, m_tolerence);
214 }
215 };
216
217
218 bool equals_with_eps(double l, double r)
219 {
220 return bg::math::equals(l, r);
221 }
222
223 bool equals_with_eps(double l, rng r)
224 {
225 return (r.lo < l && l < r.hi)
226 || bg::math::equals(l, r.lo)
227 || bg::math::equals(l, r.hi);
228 }
229
230
231 template
232 <
233 typename Box,
234 std::size_t DimensionCount = bg::dimension<Box>::value
235 >
236 struct box_check_equals
237 {
238 template <typename T1, typename T2, typename T3, typename T4>
239 static inline bool apply(Box const& box,
240 T1 const& lon_min, T2 const& lat_min, double,
241 T3 const& lon_max, T4 const& lat_max, double,
242 double tol)
243 {
244 equals_with_tolerance equals(tol);
245
246 #ifndef BOOST_GEOMETRY_TEST_ENABLE_FAILING
247 // check latitude with tolerance when necessary
248 return equals_with_eps(bg::get<0, 0>(box), lon_min)
249 && (bg::get<0, 1>(box) < 0
250 ? equals(bg::get<0, 1>(box), lat_min)
251 : equals_with_eps(bg::get<0, 1>(box), lat_min))
252 && equals_with_eps(bg::get<1, 0>(box), lon_max)
253 && (bg::get<1, 1>(box) > 0
254 ? equals(bg::get<1, 1>(box), lat_max)
255 : equals_with_eps(bg::get<1, 1>(box), lat_max));
256 #else
257 // check latitude with tolerance when necessary
258 return bg::get<0, 0>(box) == lon_min
259 && (bg::get<0, 1>(box) < 0
260 ? equals(bg::get<0, 1>(box), lat_min)
261 : bg::get<0, 1>(box) == lat_min)
262 && bg::get<1, 0>(box) == lon_max
263 && (bg::get<1, 1>(box) > 0
264 ? equals(bg::get<1, 1>(box), lat_max)
265 : bg::get<1, 1>(box) == lat_max);
266 #endif
267 }
268 };
269
270 template <typename Box>
271 struct box_check_equals<Box, 3>
272 {
273 template <typename T1, typename T2, typename T3, typename T4>
274 static inline bool apply(Box const& box,
275 T1 const& lon_min, T2 const& lat_min, double height_min,
276 T3 const& lon_max, T4 const& lat_max, double height_max,
277 double tol)
278 {
279 #ifndef BOOST_GEOMETRY_TEST_ENABLE_FAILING
280 equals_with_tolerance equals(tol);
281
282 return box_check_equals<Box, 2>::apply(box,
283 lon_min, lat_min, height_min,
284 lon_max, lat_max, height_max,
285 tol)
286 && equals(bg::get<0, 2>(box), height_min)
287 && equals(bg::get<1, 2>(box), height_max);
288 #else
289 return box_equals<Box, 2>::apply(box,
290 lon_min, lat_min, height_min,
291 lon_max, lat_max, height_max,
292 tol)
293 && bg::get<0, 2>(box) == height_min
294 && bg::get<1, 2>(box) == height_max;
295 #endif
296 }
297 };
298
299
300 template
301 <
302 typename Box1,
303 typename Box2 = Box1,
304 std::size_t DimensionCount = bg::dimension<Box1>::value
305 >
306 struct box_equals
307 {
308 static inline bool apply(Box1 const& box1, Box2 const& box2, double tol)
309 {
310 return box_check_equals<Box1>::apply(box1,
311 bg::get<0, 0>(box2), bg::get<0, 1>(box2), 0.0,
312 bg::get<1, 0>(box2), bg::get<1, 1>(box2), 0.0,
313 tol);
314 }
315 };
316
317 template<typename Box1, typename Box2>
318 struct box_equals<Box1, Box2, 3>
319 {
320 static inline bool apply(Box1 const& box1, Box2 const& box2, double tol)
321 {
322 return box_check_equals<Box1>::apply(box1,
323 bg::get<0, 0>(box2), bg::get<0, 1>(box2), bg::get<0, 2>(box2),
324 bg::get<1, 0>(box2), bg::get<1, 1>(box2), bg::get<1, 2>(box2),
325 tol);
326 }
327 };
328
329
330 template <typename Box, std::size_t Dimension = bg::dimension<Box>::value>
331 struct initialize_box
332 {
333 static inline void apply(Box& box,
334 double lon_min, double lat_min, double,
335 double lon_max, double lat_max, double)
336 {
337 bg::detail::indexed_point_view<Box, bg::min_corner> p_min(box);
338 bg::detail::indexed_point_view<Box, bg::max_corner> p_max(box);
339
340 bg::assign_values(p_min, lon_min, lat_min);
341 bg::assign_values(p_max, lon_max, lat_max);
342 }
343 };
344
345 template <typename Box>
346 struct initialize_box<Box, 3>
347 {
348 static inline void apply(Box& box,
349 double lon_min, double lat_min, double height_min,
350 double lon_max, double lat_max, double height_max)
351 {
352 bg::detail::indexed_point_view<Box, bg::min_corner> p_min(box);
353 bg::detail::indexed_point_view<Box, bg::max_corner> p_max(box);
354
355 bg::assign_values(p_min, lon_min, lat_min, height_min);
356 bg::assign_values(p_max, lon_max, lat_max, height_max);
357 }
358 };
359
360 #endif // BOOST_GEOMETRY_TEST_ENVELOPE_EXPAND_ON_SPHEROID_HPP