liuxiaolong
2021-07-20 58d904a328c0d849769b483e901a0be9426b8209
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
// Boost.Geometry (aka GGL, Generic Geometry Library)
 
// Copyright (c) 2007-2015 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2008-2015 Bruno Lalande, Paris, France.
// Copyright (c) 2009-2015 Mateusz Loskot, London, UK.
// Copyright (c) 2014-2015 Samuel Debionne, Grenoble, France.
 
// This file was modified by Oracle on 2015-2020.
// Modifications copyright (c) 2015-2020, Oracle and/or its affiliates.
 
// Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
// Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
 
// Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
// (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands.
 
// Distributed under 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_STRATEGY_SPHERICAL_EXPAND_POINT_HPP
#define BOOST_GEOMETRY_STRATEGY_SPHERICAL_EXPAND_POINT_HPP
 
#include <algorithm>
#include <cstddef>
#include <functional>
#include <type_traits>
 
#include <boost/geometry/core/access.hpp>
#include <boost/geometry/core/coordinate_dimension.hpp>
#include <boost/geometry/core/coordinate_system.hpp>
#include <boost/geometry/core/coordinate_type.hpp>
#include <boost/geometry/core/tags.hpp>
 
#include <boost/geometry/util/is_inverse_spheroidal_coordinates.hpp>
#include <boost/geometry/util/math.hpp>
#include <boost/geometry/util/select_coordinate_type.hpp>
 
#include <boost/geometry/algorithms/detail/normalize.hpp>
#include <boost/geometry/algorithms/detail/envelope/transform_units.hpp>
 
#include <boost/geometry/strategy/expand.hpp>
#include <boost/geometry/strategy/cartesian/expand_point.hpp>
 
 
namespace boost { namespace geometry
{
 
namespace strategy { namespace expand
{
 
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
 
// implementation for the spherical and geographic coordinate systems
template <std::size_t DimensionCount, bool IsEquatorial>
struct point_loop_on_spheroid
{
    template <typename Box, typename Point>
    static inline void apply(Box& box, Point const& point)
    {
        typedef typename point_type<Box>::type box_point_type;
        typedef typename coordinate_type<Box>::type box_coordinate_type;
        typedef typename geometry::detail::cs_angular_units<Box>::type units_type;
 
        typedef math::detail::constants_on_spheroid
            <
                box_coordinate_type,
                units_type
            > constants;
 
        // normalize input point and input box
        Point p_normalized;
        strategy::normalize::spherical_point::apply(point, p_normalized);
 
        // transform input point to be of the same type as the box point
        box_point_type box_point;
        geometry::detail::envelope::transform_units(p_normalized, box_point);
 
        if (is_inverse_spheroidal_coordinates(box))
        {
            geometry::set_from_radian<min_corner, 0>(box, geometry::get_as_radian<0>(p_normalized));
            geometry::set_from_radian<min_corner, 1>(box, geometry::get_as_radian<1>(p_normalized));
            geometry::set_from_radian<max_corner, 0>(box, geometry::get_as_radian<0>(p_normalized));
            geometry::set_from_radian<max_corner, 1>(box, geometry::get_as_radian<1>(p_normalized));
 
        } else {
 
            strategy::normalize::spherical_box::apply(box, box);
 
            box_coordinate_type p_lon = geometry::get<0>(box_point);
            box_coordinate_type p_lat = geometry::get<1>(box_point);
 
            typename coordinate_type<Box>::type
                    b_lon_min = geometry::get<min_corner, 0>(box),
                    b_lat_min = geometry::get<min_corner, 1>(box),
                    b_lon_max = geometry::get<max_corner, 0>(box),
                    b_lat_max = geometry::get<max_corner, 1>(box);
 
            if (math::is_latitude_pole<units_type, IsEquatorial>(p_lat))
            {
                // the point of expansion is the either the north or the
                // south pole; the only important coordinate here is the
                // pole's latitude, as the longitude can be anything;
                // we, thus, take into account the point's latitude only and return
                geometry::set<min_corner, 1>(box, (std::min)(p_lat, b_lat_min));
                geometry::set<max_corner, 1>(box, (std::max)(p_lat, b_lat_max));
                return;
            }
 
            if (math::equals(b_lat_min, b_lat_max)
                    && math::is_latitude_pole<units_type, IsEquatorial>(b_lat_min))
            {
                // the box degenerates to either the north or the south pole;
                // the only important coordinate here is the pole's latitude,
                // as the longitude can be anything;
                // we thus take into account the box's latitude only and return
                geometry::set<min_corner, 0>(box, p_lon);
                geometry::set<min_corner, 1>(box, (std::min)(p_lat, b_lat_min));
                geometry::set<max_corner, 0>(box, p_lon);
                geometry::set<max_corner, 1>(box, (std::max)(p_lat, b_lat_max));
                return;
            }
 
            // update latitudes
            b_lat_min = (std::min)(b_lat_min, p_lat);
            b_lat_max = (std::max)(b_lat_max, p_lat);
 
            // update longitudes
            if (math::smaller(p_lon, b_lon_min))
            {
                box_coordinate_type p_lon_shifted = p_lon + constants::period();
 
                if (math::larger(p_lon_shifted, b_lon_max))
                {
                    // here we could check using: ! math::larger(.., ..)
                    if (math::smaller(b_lon_min - p_lon, p_lon_shifted - b_lon_max))
                    {
                        b_lon_min = p_lon;
                    }
                    else
                    {
                        b_lon_max = p_lon_shifted;
                    }
                }
            }
            else if (math::larger(p_lon, b_lon_max))
            {
                // in this case, and since p_lon is normalized in the range
                // (-180, 180], we must have that b_lon_max <= 180
                if (b_lon_min < 0
                        && math::larger(p_lon - b_lon_max,
                                        constants::period() - p_lon + b_lon_min))
                {
                    b_lon_min = p_lon;
                    b_lon_max += constants::period();
                }
                else
                {
                    b_lon_max = p_lon;
                }
            }
 
            geometry::set<min_corner, 0>(box, b_lon_min);
            geometry::set<min_corner, 1>(box, b_lat_min);
            geometry::set<max_corner, 0>(box, b_lon_max);
            geometry::set<max_corner, 1>(box, b_lat_max);
        }
 
        point_loop
            <
                2, DimensionCount
            >::apply(box, point);
    }
};
 
 
} // namespace detail
#endif // DOXYGEN_NO_DETAIL
 
 
struct spherical_point
{
    template <typename Box, typename Point>
    static void apply(Box & box, Point const& point)
    {
        expand::detail::point_loop_on_spheroid
            <
                dimension<Point>::value,
                ! std::is_same<typename cs_tag<Point>::type, spherical_polar_tag>::value
            >::apply(box, point);
    }
};
 
 
#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
 
namespace services
{
 
template <typename CalculationType>
struct default_strategy<point_tag, spherical_equatorial_tag, CalculationType>
{
    typedef spherical_point type;
};
 
template <typename CalculationType>
struct default_strategy<point_tag, spherical_polar_tag, CalculationType>
{
    typedef spherical_point type;
};
 
template <typename CalculationType>
struct default_strategy<point_tag, geographic_tag, CalculationType>
{
    typedef spherical_point type;
};
 
 
} // namespace services
 
#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
 
 
}} // namespace strategy::expand
 
}} // namespace boost::geometry
 
#endif // BOOST_GEOMETRY_STRATEGY_SPHERICAL_EXPAND_POINT_HPP