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1// Boost.Geometry
2
20effc67 3// Copyright (c) 2017-2020 Oracle and/or its affiliates.
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4
5// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
6
7// Use, modification and distribution is subject to the Boost Software License,
8// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
9// http://www.boost.org/LICENSE_1_0.txt)
10
11#ifndef BOOST_GEOMETRY_ALGORITHMS_DETAIL_RELATE_MULTI_POINT_GEOMETRY_HPP
12#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_RELATE_MULTI_POINT_GEOMETRY_HPP
13
14
20effc67
TL
15#include <boost/range/begin.hpp>
16#include <boost/range/end.hpp>
17#include <boost/range/size.hpp>
18#include <boost/range/value_type.hpp>
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19
20#include <boost/geometry/algorithms/detail/disjoint/box_box.hpp>
21#include <boost/geometry/algorithms/detail/disjoint/point_box.hpp>
22#include <boost/geometry/algorithms/detail/expand_by_epsilon.hpp>
92f5a8d4 23#include <boost/geometry/algorithms/detail/partition.hpp>
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FG
24#include <boost/geometry/algorithms/detail/relate/result.hpp>
25#include <boost/geometry/algorithms/detail/relate/topology_check.hpp>
26#include <boost/geometry/algorithms/detail/within/point_in_geometry.hpp>
27#include <boost/geometry/algorithms/envelope.hpp>
28
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29#include <boost/geometry/core/point_type.hpp>
30
31#include <boost/geometry/geometries/box.hpp>
32
33#include <boost/geometry/index/rtree.hpp>
34
20effc67
TL
35// TEMP
36#include <boost/geometry/strategies/envelope/cartesian.hpp>
37#include <boost/geometry/strategies/envelope/geographic.hpp>
38#include <boost/geometry/strategies/envelope/spherical.hpp>
39
40#include <boost/geometry/util/type_traits.hpp>
41
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FG
42
43namespace boost { namespace geometry
44{
45
46#ifndef DOXYGEN_NO_DETAIL
47namespace detail { namespace relate
48{
49
50template
51<
52 typename Geometry,
53 typename Tag = typename tag<Geometry>::type
54>
55struct multi_point_geometry_eb
56{
1e59de90 57 template <typename MultiPoint, typename Strategy>
b32b8144 58 static inline bool apply(MultiPoint const& ,
1e59de90 59 detail::relate::topology_check<Geometry, Strategy> const& )
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FG
60 {
61 return true;
62 }
63};
64
1e59de90
TL
65template <typename Geometry>
66struct multi_point_geometry_eb<Geometry, linestring_tag>
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67{
68 template <typename Points>
69 struct boundary_visitor
70 {
71 boundary_visitor(Points const& points)
72 : m_points(points)
73 , m_boundary_found(false)
74 {}
75
1e59de90 76 template <typename Point, typename Strategy>
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77 struct find_pred
78 {
1e59de90 79 find_pred(Point const& point, Strategy const& strategy)
b32b8144 80 : m_point(point)
1e59de90 81 , m_strategy(strategy)
b32b8144
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82 {}
83
84 template <typename Pt>
85 bool operator()(Pt const& pt) const
86 {
1e59de90 87 return detail::equals::equals_point_point(pt, m_point, m_strategy);
b32b8144
FG
88 }
89
90 Point const& m_point;
1e59de90 91 Strategy const& m_strategy;
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92 };
93
1e59de90
TL
94 template <typename Point, typename Strategy>
95 bool apply(Point const& boundary_point, Strategy const& strategy)
b32b8144 96 {
1e59de90
TL
97 if ( std::none_of(m_points.begin(), m_points.end(),
98 find_pred<Point, Strategy>(boundary_point, strategy)))
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99 {
100 m_boundary_found = true;
101 return false;
102 }
103 return true;
104 }
105
106 bool result() const { return m_boundary_found; }
107
108 private:
109 Points const& m_points;
110 bool m_boundary_found;
111 };
112
1e59de90 113 template <typename MultiPoint, typename Strategy>
b32b8144 114 static inline bool apply(MultiPoint const& multi_point,
1e59de90 115 detail::relate::topology_check<Geometry, Strategy> const& tc)
b32b8144
FG
116 {
117 boundary_visitor<MultiPoint> visitor(multi_point);
118 tc.for_each_boundary_point(visitor);
119 return visitor.result();
120 }
121};
122
1e59de90
TL
123template <typename Geometry>
124struct multi_point_geometry_eb<Geometry, multi_linestring_tag>
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125{
126 template <typename Points>
127 struct boundary_visitor
128 {
129 boundary_visitor(Points const& points)
130 : m_points(points)
131 , m_boundary_found(false)
132 {}
133
1e59de90
TL
134 template <typename Point, typename Strategy>
135 bool apply(Point const& boundary_point, Strategy const&)
b32b8144 136 {
1e59de90
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137 typedef geometry::less<void, -1, typename Strategy::cs_tag> less_type;
138
139 if (! std::binary_search(m_points.begin(), m_points.end(),
140 boundary_point, less_type()) )
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141 {
142 m_boundary_found = true;
143 return false;
144 }
145 return true;
146 }
147
148 bool result() const { return m_boundary_found; }
149
150 private:
151 Points const& m_points;
152 bool m_boundary_found;
153 };
154
1e59de90 155 template <typename MultiPoint, typename Strategy>
b32b8144 156 static inline bool apply(MultiPoint const& multi_point,
1e59de90 157 detail::relate::topology_check<Geometry, Strategy> const& tc)
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158 {
159 typedef typename boost::range_value<MultiPoint>::type point_type;
160 typedef std::vector<point_type> points_type;
1e59de90
TL
161 typedef geometry::less<void, -1, typename Strategy::cs_tag> less_type;
162
163 points_type points(boost::begin(multi_point), boost::end(multi_point));
92f5a8d4 164 std::sort(points.begin(), points.end(), less_type());
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165
166 boundary_visitor<points_type> visitor(points);
167 tc.for_each_boundary_point(visitor);
168 return visitor.result();
169 }
170};
171
172// SingleGeometry - Linear or Areal
173template <typename MultiPoint, typename SingleGeometry, bool Transpose = false>
174struct multi_point_single_geometry
175{
176 static const bool interruption_enabled = true;
177
178 template <typename Result, typename Strategy>
179 static inline void apply(MultiPoint const& multi_point,
180 SingleGeometry const& single_geometry,
181 Result & result,
182 Strategy const& strategy)
183 {
184 typedef typename point_type<SingleGeometry>::type point2_type;
185 typedef model::box<point2_type> box2_type;
186
187 box2_type box2;
1e59de90 188 geometry::envelope(single_geometry, box2, strategy);
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189 geometry::detail::expand_by_epsilon(box2);
190
191 typedef typename boost::range_const_iterator<MultiPoint>::type iterator;
192 for ( iterator it = boost::begin(multi_point) ; it != boost::end(multi_point) ; ++it )
193 {
194 if (! (relate::may_update<interior, interior, '0', Transpose>(result)
195 || relate::may_update<interior, boundary, '0', Transpose>(result)
196 || relate::may_update<interior, exterior, '0', Transpose>(result) ) )
197 {
198 break;
199 }
200
201 // The default strategy is enough for Point/Box
1e59de90 202 if (detail::disjoint::disjoint_point_box(*it, box2, strategy))
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203 {
204 relate::set<interior, exterior, '0', Transpose>(result);
205 }
206 else
207 {
208 int in_val = detail::within::point_in_geometry(*it, single_geometry, strategy);
209
210 if (in_val > 0) // within
211 {
212 relate::set<interior, interior, '0', Transpose>(result);
213 }
214 else if (in_val == 0)
215 {
216 relate::set<interior, boundary, '0', Transpose>(result);
217 }
218 else // in_val < 0 - not within
219 {
220 relate::set<interior, exterior, '0', Transpose>(result);
221 }
222 }
223
224 if ( BOOST_GEOMETRY_CONDITION(result.interrupt) )
225 {
226 return;
227 }
228 }
229
1e59de90
TL
230 typedef detail::relate::topology_check<SingleGeometry, Strategy> tc_t;
231
b32b8144
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232 if ( relate::may_update<exterior, interior, tc_t::interior, Transpose>(result)
233 || relate::may_update<exterior, boundary, tc_t::boundary, Transpose>(result) )
234 {
1e59de90 235 tc_t tc(single_geometry, strategy);
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236
237 if ( relate::may_update<exterior, interior, tc_t::interior, Transpose>(result)
238 && tc.has_interior() )
239 {
240 // TODO: this is not true if a linestring is degenerated to a point
241 // then the interior has topological dimension = 0, not 1
242 relate::set<exterior, interior, tc_t::interior, Transpose>(result);
243 }
244
245 if ( relate::may_update<exterior, boundary, tc_t::boundary, Transpose>(result)
246 && tc.has_boundary() )
247 {
1e59de90 248 if (multi_point_geometry_eb<SingleGeometry>::apply(multi_point, tc))
92f5a8d4 249 {
b32b8144 250 relate::set<exterior, boundary, tc_t::boundary, Transpose>(result);
92f5a8d4 251 }
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252 }
253 }
254
255 relate::set<exterior, exterior, result_dimension<MultiPoint>::value, Transpose>(result);
256 }
257};
258
259
260// MultiGeometry - Linear or Areal
261// part of the algorithm calculating II and IB when no IE has to be calculated
262// using partition()
263template <typename MultiPoint, typename MultiGeometry, bool Transpose>
264class multi_point_multi_geometry_ii_ib
265{
1e59de90 266 template <typename Strategy>
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267 struct expand_box_point
268 {
1e59de90
TL
269 expand_box_point(Strategy const& strategy)
270 : m_strategy(strategy)
271 {}
272
b32b8144 273 template <typename Box, typename Point>
1e59de90 274 inline void apply(Box& total, Point const& point) const
b32b8144 275 {
1e59de90 276 geometry::expand(total, point, m_strategy);
b32b8144 277 }
1e59de90
TL
278
279 private:
280 Strategy const& m_strategy;
b32b8144
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281 };
282
1e59de90 283 template <typename Strategy>
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284 struct expand_box_box_pair
285 {
1e59de90
TL
286 expand_box_box_pair(Strategy const& strategy)
287 : m_strategy(strategy)
288 {}
289
b32b8144 290 template <typename Box, typename BoxPair>
1e59de90 291 inline void apply(Box& total, BoxPair const& box_pair) const
b32b8144 292 {
1e59de90 293 geometry::expand(total, box_pair.first, m_strategy);
b32b8144 294 }
1e59de90
TL
295
296 private:
297 Strategy const& m_strategy;
b32b8144
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298 };
299
1e59de90 300 template <typename Strategy>
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301 struct overlaps_box_point
302 {
1e59de90
TL
303 overlaps_box_point(Strategy const& strategy)
304 : m_strategy(strategy)
305 {}
306
b32b8144 307 template <typename Box, typename Point>
1e59de90 308 inline bool apply(Box const& box, Point const& point) const
b32b8144
FG
309 {
310 // The default strategy is enough for Point/Box
92f5a8d4 311 return ! detail::disjoint::disjoint_point_box(point, box,
1e59de90 312 m_strategy);
b32b8144 313 }
1e59de90
TL
314
315 private:
316 Strategy const& m_strategy;
b32b8144
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317 };
318
1e59de90 319 template <typename Strategy>
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320 struct overlaps_box_box_pair
321 {
1e59de90
TL
322 overlaps_box_box_pair(Strategy const& strategy)
323 : m_strategy(strategy)
324 {}
325
b32b8144 326 template <typename Box, typename BoxPair>
1e59de90 327 inline bool apply(Box const& box, BoxPair const& box_pair) const
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FG
328 {
329 // The default strategy is enough for Box/Box
92f5a8d4 330 return ! detail::disjoint::disjoint_box_box(box_pair.first, box,
1e59de90 331 m_strategy);
b32b8144 332 }
1e59de90
TL
333
334 private:
335 Strategy const& m_strategy;
b32b8144
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336 };
337
1e59de90 338 template <typename Result, typename Strategy>
b32b8144
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339 class item_visitor_type
340 {
1e59de90 341 typedef detail::relate::topology_check<MultiGeometry, Strategy> topology_check_type;
92f5a8d4 342
b32b8144
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343 public:
344 item_visitor_type(MultiGeometry const& multi_geometry,
92f5a8d4 345 topology_check_type const& tc,
b32b8144 346 Result & result,
1e59de90 347 Strategy const& strategy)
b32b8144
FG
348 : m_multi_geometry(multi_geometry)
349 , m_tc(tc)
350 , m_result(result)
351 , m_strategy(strategy)
352 {}
353
354 template <typename Point, typename BoxPair>
355 inline bool apply(Point const& point, BoxPair const& box_pair)
356 {
357 // The default strategy is enough for Point/Box
1e59de90 358 if (! detail::disjoint::disjoint_point_box(point, box_pair.first, m_strategy) )
b32b8144
FG
359 {
360 typename boost::range_value<MultiGeometry>::type const&
361 single = range::at(m_multi_geometry, box_pair.second);
362
363 int in_val = detail::within::point_in_geometry(point, single, m_strategy);
364
365 if (in_val > 0) // within
366 {
367 relate::set<interior, interior, '0', Transpose>(m_result);
368 }
369 else if (in_val == 0)
370 {
371 if (m_tc.check_boundary_point(point))
372 relate::set<interior, boundary, '0', Transpose>(m_result);
373 else
374 relate::set<interior, interior, '0', Transpose>(m_result);
375 }
376 }
377
378 if ( BOOST_GEOMETRY_CONDITION(m_result.interrupt) )
379 {
380 return false;
381 }
382
383 if (! (relate::may_update<interior, interior, '0', Transpose>(m_result)
384 || relate::may_update<interior, boundary, '0', Transpose>(m_result) ) )
385 {
386 return false;
387 }
388
389 return true;
390 }
391
392
393 private:
394 MultiGeometry const& m_multi_geometry;
92f5a8d4 395 topology_check_type const& m_tc;
b32b8144 396 Result & m_result;
1e59de90 397 Strategy const& m_strategy;
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FG
398 };
399
400public:
401 typedef typename point_type<MultiPoint>::type point1_type;
402 typedef typename point_type<MultiGeometry>::type point2_type;
403 typedef model::box<point1_type> box1_type;
404 typedef model::box<point2_type> box2_type;
405 typedef std::pair<box2_type, std::size_t> box_pair_type;
406
407 template <typename Result, typename Strategy>
408 static inline void apply(MultiPoint const& multi_point,
409 MultiGeometry const& multi_geometry,
410 std::vector<box_pair_type> const& boxes,
92f5a8d4
TL
411 detail::relate::topology_check
412 <
1e59de90 413 MultiGeometry, Strategy
92f5a8d4 414 > const& tc,
b32b8144
FG
415 Result & result,
416 Strategy const& strategy)
417 {
418 item_visitor_type<Result, Strategy> visitor(multi_geometry, tc, result, strategy);
419
420 geometry::partition
421 <
422 box1_type
423 >::apply(multi_point, boxes, visitor,
1e59de90
TL
424 expand_box_point<Strategy>(strategy),
425 overlaps_box_point<Strategy>(strategy),
426 expand_box_box_pair<Strategy>(strategy),
427 overlaps_box_box_pair<Strategy>(strategy));
b32b8144
FG
428 }
429
430};
431
432// MultiGeometry - Linear or Areal
433// part of the algorithm calculating II, IB and IE
434// using rtree
435template <typename MultiPoint, typename MultiGeometry, bool Transpose>
436struct multi_point_multi_geometry_ii_ib_ie
437{
438 typedef typename point_type<MultiPoint>::type point1_type;
439 typedef typename point_type<MultiGeometry>::type point2_type;
440 typedef model::box<point1_type> box1_type;
441 typedef model::box<point2_type> box2_type;
442 typedef std::pair<box2_type, std::size_t> box_pair_type;
443 typedef std::vector<box_pair_type> boxes_type;
444 typedef typename boxes_type::const_iterator boxes_iterator;
445
446 template <typename Result, typename Strategy>
447 static inline void apply(MultiPoint const& multi_point,
448 MultiGeometry const& multi_geometry,
449 std::vector<box_pair_type> const& boxes,
92f5a8d4
TL
450 detail::relate::topology_check
451 <
1e59de90 452 MultiGeometry, Strategy
92f5a8d4 453 > const& tc,
b32b8144
FG
454 Result & result,
455 Strategy const& strategy)
456 {
92f5a8d4
TL
457 typedef index::parameters
458 <
1e59de90 459 index::rstar<4>, Strategy
92f5a8d4
TL
460 > index_parameters_type;
461 index::rtree<box_pair_type, index_parameters_type>
462 rtree(boxes.begin(), boxes.end(),
1e59de90 463 index_parameters_type(index::rstar<4>(), strategy));
b32b8144
FG
464
465 typedef typename boost::range_const_iterator<MultiPoint>::type iterator;
466 for ( iterator it = boost::begin(multi_point) ; it != boost::end(multi_point) ; ++it )
467 {
468 if (! (relate::may_update<interior, interior, '0', Transpose>(result)
469 || relate::may_update<interior, boundary, '0', Transpose>(result)
470 || relate::may_update<interior, exterior, '0', Transpose>(result) ) )
471 {
472 return;
473 }
474
475 typename boost::range_value<MultiPoint>::type const& point = *it;
476
477 boxes_type boxes_found;
92f5a8d4 478 rtree.query(index::intersects(point), std::back_inserter(boxes_found));
b32b8144
FG
479
480 bool found_ii_or_ib = false;
481 for (boxes_iterator bi = boxes_found.begin() ; bi != boxes_found.end() ; ++bi)
482 {
483 typename boost::range_value<MultiGeometry>::type const&
484 single = range::at(multi_geometry, bi->second);
485
486 int in_val = detail::within::point_in_geometry(point, single, strategy);
487
488 if (in_val > 0) // within
489 {
490 relate::set<interior, interior, '0', Transpose>(result);
491 found_ii_or_ib = true;
492 }
493 else if (in_val == 0) // on boundary of single
494 {
495 if (tc.check_boundary_point(point))
496 relate::set<interior, boundary, '0', Transpose>(result);
497 else
498 relate::set<interior, interior, '0', Transpose>(result);
499 found_ii_or_ib = true;
500 }
501 }
502
503 // neither interior nor boundary found -> exterior
504 if (found_ii_or_ib == false)
505 {
506 relate::set<interior, exterior, '0', Transpose>(result);
507 }
508
509 if ( BOOST_GEOMETRY_CONDITION(result.interrupt) )
510 {
511 return;
512 }
513 }
514 }
515};
516
517// MultiGeometry - Linear or Areal
518template <typename MultiPoint, typename MultiGeometry, bool Transpose = false>
519struct multi_point_multi_geometry
520{
521 static const bool interruption_enabled = true;
522
523 template <typename Result, typename Strategy>
524 static inline void apply(MultiPoint const& multi_point,
525 MultiGeometry const& multi_geometry,
526 Result & result,
527 Strategy const& strategy)
528 {
529 typedef typename point_type<MultiGeometry>::type point2_type;
530 typedef model::box<point2_type> box2_type;
531 typedef std::pair<box2_type, std::size_t> box_pair_type;
532
b32b8144
FG
533 std::size_t count2 = boost::size(multi_geometry);
534 std::vector<box_pair_type> boxes(count2);
535 for (std::size_t i = 0 ; i < count2 ; ++i)
536 {
1e59de90 537 geometry::envelope(range::at(multi_geometry, i), boxes[i].first, strategy);
b32b8144
FG
538 geometry::detail::expand_by_epsilon(boxes[i].first);
539 boxes[i].second = i;
540 }
541
1e59de90
TL
542 typedef detail::relate::topology_check<MultiGeometry, Strategy> tc_t;
543 tc_t tc(multi_geometry, strategy);
b32b8144
FG
544
545 if ( relate::may_update<interior, interior, '0', Transpose>(result)
546 || relate::may_update<interior, boundary, '0', Transpose>(result)
547 || relate::may_update<interior, exterior, '0', Transpose>(result) )
548 {
549 // If there is no need to calculate IE, use partition
550 if (! relate::may_update<interior, exterior, '0', Transpose>(result) )
551 {
552 multi_point_multi_geometry_ii_ib<MultiPoint, MultiGeometry, Transpose>
553 ::apply(multi_point, multi_geometry, boxes, tc, result, strategy);
554 }
555 else // otherwise use rtree
556 {
557 multi_point_multi_geometry_ii_ib_ie<MultiPoint, MultiGeometry, Transpose>
558 ::apply(multi_point, multi_geometry, boxes, tc, result, strategy);
559 }
560 }
561
562 if ( BOOST_GEOMETRY_CONDITION(result.interrupt) )
563 {
564 return;
565 }
566
567 if ( relate::may_update<exterior, interior, tc_t::interior, Transpose>(result)
568 || relate::may_update<exterior, boundary, tc_t::boundary, Transpose>(result) )
569 {
570 if ( relate::may_update<exterior, interior, tc_t::interior, Transpose>(result)
571 && tc.has_interior() )
572 {
573 // TODO: this is not true if a linestring is degenerated to a point
574 // then the interior has topological dimension = 0, not 1
575 relate::set<exterior, interior, tc_t::interior, Transpose>(result);
576 }
577
578 if ( relate::may_update<exterior, boundary, tc_t::boundary, Transpose>(result)
579 && tc.has_boundary() )
580 {
1e59de90 581 if (multi_point_geometry_eb<MultiGeometry>::apply(multi_point, tc))
92f5a8d4 582 {
b32b8144 583 relate::set<exterior, boundary, tc_t::boundary, Transpose>(result);
92f5a8d4 584 }
b32b8144
FG
585 }
586 }
587
588 relate::set<exterior, exterior, result_dimension<MultiPoint>::value, Transpose>(result);
589 }
590
591};
592
593
594template
595<
596 typename MultiPoint, typename Geometry,
597 bool Transpose = false,
20effc67 598 bool isMulti = util::is_multi<Geometry>::value
b32b8144
FG
599>
600struct multi_point_geometry
601 : multi_point_single_geometry<MultiPoint, Geometry, Transpose>
602{};
603
604template <typename MultiPoint, typename Geometry, bool Transpose>
605struct multi_point_geometry<MultiPoint, Geometry, Transpose, true>
606 : multi_point_multi_geometry<MultiPoint, Geometry, Transpose>
607{};
608
609
610// transposed result of multi_point_geometry
611template <typename Geometry, typename MultiPoint>
612struct geometry_multi_point
613{
614 static const bool interruption_enabled = true;
615
616 template <typename Result, typename Strategy>
617 static inline void apply(Geometry const& geometry, MultiPoint const& multi_point,
618 Result & result, Strategy const& strategy)
619 {
620 multi_point_geometry<MultiPoint, Geometry, true>::apply(multi_point, geometry, result, strategy);
621 }
622};
623
624}} // namespace detail::relate
625#endif // DOXYGEN_NO_DETAIL
626
627}} // namespace boost::geometry
628
629#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_RELATE_MULTI_POINT_GEOMETRY_HPP