1 // Boost.Geometry (aka GGL, Generic Geometry Library)
2 
3 // Copyright (c) 2007-2014 Barend Gehrels, Amsterdam, the Netherlands.
4 // Copyright (c) 2008-2014 Bruno Lalande, Paris, France.
5 // Copyright (c) 2009-2014 Mateusz Loskot, London, UK.
6 // Copyright (c) 2013-2014 Adam Wulkiewicz, Lodz, Poland.
7 
8 // This file was modified by Oracle on 2013-2017.
9 // Modifications copyright (c) 2013-2017, Oracle and/or its affiliates.
10 
11 // Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
12 // Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
13 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
14 
15 // Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
16 // (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands.
17 
18 // Use, modification and distribution is subject to the Boost Software License,
19 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
20 // http://www.boost.org/LICENSE_1_0.txt)
21 
22 #ifndef BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP
23 #define BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP
24 
25 #include <cstddef>
26 
27 #include <boost/geometry/core/tags.hpp>
28 #include <boost/geometry/core/radian_access.hpp>
29 
30 #include <boost/geometry/algorithms/detail/assign_indexed_point.hpp>
31 #include <boost/geometry/algorithms/detail/disjoint/point_box.hpp>
32 #include <boost/geometry/algorithms/detail/disjoint/box_box.hpp>
33 #include <boost/geometry/algorithms/detail/envelope/segment.hpp>
34 #include <boost/geometry/algorithms/detail/normalize.hpp>
35 #include <boost/geometry/algorithms/dispatch/disjoint.hpp>
36 
37 #include <boost/geometry/formulas/vertex_longitude.hpp>
38 
39 #include <boost/geometry/geometries/box.hpp>
40 
41 namespace boost { namespace geometry
42 {
43 
44 
45 #ifndef DOXYGEN_NO_DETAIL
46 namespace detail { namespace disjoint
47 {
48 
49 template <typename CS_Tag>
50 struct disjoint_segment_box_sphere_or_spheroid
51 {
52 private:
53 
54     template <typename CT>
swapboost::geometry::detail::disjoint::disjoint_segment_box_sphere_or_spheroid55     static inline void swap(CT& lon1,
56                             CT& lat1,
57                             CT& lon2,
58                             CT& lat2)
59     {
60         std::swap(lon1, lon2);
61         std::swap(lat1, lat2);
62     }
63 
64 
65 public:
66 
67     template <typename Segment, typename Box, typename Strategy>
applyboost::geometry::detail::disjoint::disjoint_segment_box_sphere_or_spheroid68     static inline bool apply(Segment const& segment,
69                              Box const& box,
70                              Strategy const& azimuth_strategy)
71     {
72         assert_dimension_equal<Segment, Box>();
73 
74         typedef typename point_type<Segment>::type segment_point_type;
75         typedef typename cs_tag<Segment>::type segment_cs_type;
76 
77         segment_point_type p0, p1;
78         geometry::detail::assign_point_from_index<0>(segment, p0);
79         geometry::detail::assign_point_from_index<1>(segment, p1);
80 
81         // Simplest cases first
82 
83         // Case 1: if box contains one of segment's endpoints then they are not disjoint
84         if (! disjoint_point_box(p0, box) || ! disjoint_point_box(p1, box))
85         {
86             return false;
87         }
88 
89         // Case 2: disjoint if bounding boxes are disjoint
90 
91         typedef typename coordinate_type<segment_point_type>::type CT;
92 
93         segment_point_type p0_normalized =
94                 geometry::detail::return_normalized<segment_point_type>(p0);
95         segment_point_type p1_normalized =
96                 geometry::detail::return_normalized<segment_point_type>(p1);
97 
98         CT lon1 = geometry::get_as_radian<0>(p0_normalized);
99         CT lat1 = geometry::get_as_radian<1>(p0_normalized);
100         CT lon2 = geometry::get_as_radian<0>(p1_normalized);
101         CT lat2 = geometry::get_as_radian<1>(p1_normalized);
102 
103         if (lon1 > lon2)
104         {
105             swap(lon1, lat1, lon2, lat2);
106         }
107 
108         //Compute alp1 outside envelope and pass it to envelope_segment_impl
109         //in order for it to be used later in the algorithm
110         CT alp1;
111 
112         azimuth_strategy.apply(lon1, lat1, lon2, lat2, alp1);
113 
114         geometry::model::box<segment_point_type> box_seg;
115 
116         geometry::detail::envelope::envelope_segment_impl<segment_cs_type>
117                 ::template apply<geometry::radian>(lon1, lat1,
118                                                    lon2, lat2,
119                                                    box_seg,
120                                                    azimuth_strategy,
121                                                    alp1);
122         if (disjoint_box_box(box, box_seg))
123         {
124             return true;
125         }
126 
127         // Case 3: test intersection by comparing angles
128 
129         CT a_b0, a_b1, a_b2, a_b3;
130 
131         CT b_lon_min = geometry::get_as_radian<geometry::min_corner, 0>(box);
132         CT b_lat_min = geometry::get_as_radian<geometry::min_corner, 1>(box);
133         CT b_lon_max = geometry::get_as_radian<geometry::max_corner, 0>(box);
134         CT b_lat_max = geometry::get_as_radian<geometry::max_corner, 1>(box);
135 
136         azimuth_strategy.apply(lon1, lat1, b_lon_min, b_lat_min, a_b0);
137         azimuth_strategy.apply(lon1, lat1, b_lon_max, b_lat_min, a_b1);
138         azimuth_strategy.apply(lon1, lat1, b_lon_min, b_lat_max, a_b2);
139         azimuth_strategy.apply(lon1, lat1, b_lon_max, b_lat_max, a_b3);
140 
141         bool b0 = alp1 > a_b0;
142         bool b1 = alp1 > a_b1;
143         bool b2 = alp1 > a_b2;
144         bool b3 = alp1 > a_b3;
145 
146         // if not all box points on the same side of the segment then
147         // there is an intersection
148         if (!(b0 && b1 && b2 && b3) && (b0 || b1 || b2 || b3))
149         {
150             return false;
151         }
152 
153         // Case 4: The only intersection case not covered above is when all four
154         // points of the box are above (below) the segment in northern (southern)
155         // hemisphere. Then we have to compute the vertex of the segment
156 
157         CT vertex_lat;
158         CT lat_sum = lat1 + lat2;
159 
160         if ((b0 && b1 && b2 && b3 && lat_sum > CT(0))
161                 || (!(b0 && b1 && b2 && b3) && lat_sum < CT(0)))
162         {
163             CT b_lat_below; //latitude of box closest to equator
164 
165             if (lat_sum > CT(0))
166             {
167                 vertex_lat = geometry::get_as_radian<geometry::max_corner, 1>(box_seg);
168                 b_lat_below = b_lat_min;
169             } else {
170                 vertex_lat = geometry::get_as_radian<geometry::min_corner, 1>(box_seg);
171                 b_lat_below = b_lat_max;
172             }
173 
174             //optimization TODO: computing the spherical longitude should suffice for
175             // the majority of cases
176             CT vertex_lon = geometry::formula::vertex_longitude<CT, CS_Tag>
177                                     ::apply(lon1, lat1,
178                                             lon2, lat2,
179                                             vertex_lat,
180                                             alp1,
181                                             azimuth_strategy);
182 
183             // Check if the vertex point is within the band defined by the
184             // minimum and maximum longitude of the box; if yes, then return
185             // false if the point is above the min latitude of the box; return
186             // true in all other cases
187             if (vertex_lon >= b_lon_min && vertex_lon <= b_lon_max
188                     && std::abs(vertex_lat) > std::abs(b_lat_below))
189             {
190                 return false;
191             }
192         }
193 
194         return true;
195     }
196 };
197 
198 struct disjoint_segment_box
199 {
200     template <typename Segment, typename Box, typename Strategy>
applyboost::geometry::detail::disjoint::disjoint_segment_box201     static inline bool apply(Segment const& segment,
202                              Box const& box,
203                              Strategy const& strategy)
204     {
205         return strategy.apply(segment, box);
206     }
207 };
208 
209 }} // namespace detail::disjoint
210 #endif // DOXYGEN_NO_DETAIL
211 
212 
213 #ifndef DOXYGEN_NO_DISPATCH
214 namespace dispatch
215 {
216 
217 
218 template <typename Segment, typename Box, std::size_t DimensionCount>
219 struct disjoint<Segment, Box, DimensionCount, segment_tag, box_tag, false>
220         : detail::disjoint::disjoint_segment_box
221 {};
222 
223 
224 } // namespace dispatch
225 #endif // DOXYGEN_NO_DISPATCH
226 
227 
228 }} // namespace boost::geometry
229 
230 
231 #endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP
232