1 // Boost.Geometry (aka GGL, Generic Geometry Library)
4 // Copyright (c) 2014-2021, Oracle and/or its affiliates.
6 // Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
7 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
9 // Licensed under the Boost Software License version 1.0.
10 // http://www.boost.org/users/license.html
12 #ifndef BOOST_TEST_MODULE
13 #define BOOST_TEST_MODULE test_is_valid
19 #include <boost/test/included/unit_test.hpp>
21 #if defined(TEST_WITH_SVG)
22 # include <boost/geometry/io/svg/svg_mapper.hpp>
24 # include <boost/core/ignore_unused.hpp>
27 #include "geometry_test_common.hpp"
28 #include "test_is_valid.hpp"
29 #include "overlay/overlay_cases.hpp"
31 #include <boost/geometry/core/coordinate_type.hpp>
33 #include <boost/geometry/algorithms/correct.hpp>
34 #include <boost/geometry/algorithms/intersection.hpp>
35 #include <boost/geometry/algorithms/reverse.hpp>
37 #include <boost/geometry/geometries/geometry_collection.hpp>
39 template <typename Geometry
>
40 void geometry_to_svg(Geometry
const& geometry
, const std::string
& case_id
)
42 #if defined(TEST_WITH_SVG)
44 using point_type
= typename
bg::point_type
<Geometry
>::type
;
46 std::ostringstream filename
;
47 filename
<< "/tmp/svg/" << case_id
<< ".svg";
48 std::ofstream
svg(filename
.str().c_str());
49 bg::svg_mapper
<point_type
> mapper(svg
, 1200, 800);
51 mapper
.map(geometry
, "fill-opacity:0.5;fill:rgb(153,204,0);"
52 "stroke:rgb(153,204,0);stroke-width:1");
54 // Get self-turns and map them
56 using turn_info
= bg::detail::overlay::turn_info
59 typename
bg::detail::segment_ratio_type
<point_type
, bg::detail::no_rescale_policy
>::type
61 using strategy_type
= typename
bg::strategies::relate::services::default_strategy
67 strategy_type strategy
;
69 #if defined(BOOST_GEOMETRY_NO_ROBUSTNESS)
70 bg::detail::no_rescale_policy rescale_policy
;
72 using rescale_policy_type
= typename
bg::rescale_policy_type
<point_type
>::type
;
73 rescale_policy_type rescale_policy
= bg::get_rescale_policy
<rescale_policy_type
>(geometry
, strategy
);
76 std::vector
<turn_info
> turns
;
78 bg::detail::self_get_turn_points::no_interrupt_policy policy
;
81 bg::detail::overlay::assign_null_policy
82 >(geometry
, strategy
, rescale_policy
, turns
, policy
);
84 for (turn_info
const& turn
: turns
)
86 if (turn
.method
== bg::detail::overlay::method_none
)
91 mapper
.map(turn
.point
, "fill:rgb(255,128,0);stroke:rgb(0,0,100);stroke-width:1", 2);
92 std::ostringstream out
;
93 out
<< bg::method_char(turn
.method
)
94 << std::setprecision(16) << " " << bg::get
<0>(turn
.point
) << " " << bg::get
<1>(turn
.point
);
95 mapper
.text(turn
.point
, out
.str(), "fill:rgb(0,0,0);font-family:Arial;font-size:10px", 5, 5);
99 boost::ignore_unused(geometry
, case_id
);
104 BOOST_AUTO_TEST_CASE( test_is_valid_point
)
106 #ifdef BOOST_GEOMETRY_TEST_DEBUG
107 std::cout
<< std::endl
<< std::endl
;
108 std::cout
<< "************************************" << std::endl
;
109 std::cout
<< " is_valid: POINT " << std::endl
;
110 std::cout
<< "************************************" << std::endl
;
113 typedef point_type G
;
114 typedef default_validity_tester tester
;
115 typedef test_valid
<tester
, G
> test
;
117 test::apply("p01", "POINT(0 0)", true);
120 BOOST_AUTO_TEST_CASE( test_is_valid_multipoint
)
122 #ifdef BOOST_GEOMETRY_TEST_DEBUG
123 std::cout
<< std::endl
<< std::endl
;
124 std::cout
<< "************************************" << std::endl
;
125 std::cout
<< " is_valid: MULTIPOINT " << std::endl
;
126 std::cout
<< "************************************" << std::endl
;
129 typedef multi_point_type G
;
130 typedef default_validity_tester tester
;
131 typedef test_valid
<tester
, G
> test
;
133 test::apply("mp01", "MULTIPOINT()", true);
134 test::apply("mp02", "MULTIPOINT(0 0,0 0)", true);
135 test::apply("mp03", "MULTIPOINT(0 0,1 0,1 1,0 1)", true);
136 test::apply("mp04", "MULTIPOINT(0 0,1 0,1 1,1 0,0 1)", true);
139 BOOST_AUTO_TEST_CASE( test_is_valid_segment
)
141 #ifdef BOOST_GEOMETRY_TEST_DEBUG
142 std::cout
<< std::endl
<< std::endl
;
143 std::cout
<< "************************************" << std::endl
;
144 std::cout
<< " is_valid: SEGMENT " << std::endl
;
145 std::cout
<< "************************************" << std::endl
;
148 typedef segment_type G
;
149 typedef default_validity_tester tester
;
150 typedef test_valid
<tester
, G
> test
;
152 test::apply("s01", "SEGMENT(0 0,0 0)", false);
153 test::apply("s02", "SEGMENT(0 0,1 0)", true);
156 BOOST_AUTO_TEST_CASE( test_is_valid_box
)
158 #ifdef BOOST_GEOMETRY_TEST_DEBUG
159 std::cout
<< std::endl
<< std::endl
;
160 std::cout
<< "************************************" << std::endl
;
161 std::cout
<< " is_valid: BOX " << std::endl
;
162 std::cout
<< "************************************" << std::endl
;
166 typedef default_validity_tester tester
;
167 typedef test_valid
<tester
, G
> test
;
169 // boxes where the max corner and below and/or to the left of min corner
170 test::apply("b01", "BOX(0 0,-1 0)", false);
171 test::apply("b02", "BOX(0 0,0 -1)", false);
172 test::apply("b03", "BOX(0 0,-1 -1)", false);
174 // boxes of zero area; they are not 2-dimensional, so invalid
175 test::apply("b04", "BOX(0 0,0 0)", false);
176 test::apply("b05", "BOX(0 0,1 0)", false);
177 test::apply("b06", "BOX(0 0,0 1)", false);
179 test::apply("b07", "BOX(0 0,1 1)", true);
182 template <typename G
, bool AllowSpikes
>
183 void test_linestrings()
185 #ifdef BOOST_GEOMETRY_TEST_DEBUG
186 std::cout
<< "SPIKES ALLOWED? "
193 typedef validity_tester_linear
<AllowSpikes
> tester
;
194 typedef test_valid
<tester
, G
> test
;
197 test::apply("l01", "LINESTRING()", false);
199 // 1-point linestrings
200 test::apply("l02", "LINESTRING(0 0)", false);
201 test::apply("l03", "LINESTRING(0 0,0 0)", false);
202 test::apply("l04", "LINESTRING(0 0,0 0,0 0)", false);
204 // 2-point linestrings
205 test::apply("l05", "LINESTRING(0 0,1 2)", true);
206 test::apply("l06", "LINESTRING(0 0,1 2,1 2)", true);
207 test::apply("l07", "LINESTRING(0 0,0 0,1 2,1 2)", true);
208 test::apply("l08", "LINESTRING(0 0,0 0,0 0,1 2,1 2)", true);
210 // 3-point linestrings
211 test::apply("l09", "LINESTRING(0 0,1 0,2 10)", true);
212 test::apply("l10", "LINESTRING(0 0,1 0,2 10,0 0)", true);
213 test::apply("l11", "LINESTRING(0 0,10 0,10 10,5 0)", true);
215 // linestrings with spikes
216 test::apply("l12", "LINESTRING(0 0,1 2,0 0)", AllowSpikes
);
217 test::apply("l13", "LINESTRING(0 0,1 2,1 2,0 0)", AllowSpikes
);
218 test::apply("l14", "LINESTRING(0 0,0 0,1 2,1 2,0 0)", AllowSpikes
);
219 test::apply("l15", "LINESTRING(0 0,0 0,0 0,1 2,1 2,0 0,0 0)", AllowSpikes
);
220 test::apply("l16", "LINESTRING(0 0,10 0,5 0)", AllowSpikes
);
221 test::apply("l17", "LINESTRING(0 0,10 0,10 10,5 0,0 0)", AllowSpikes
);
222 test::apply("l18", "LINESTRING(0 0,10 0,10 10,5 0,4 0,6 0)", AllowSpikes
);
223 test::apply("l19", "LINESTRING(0 0,1 0,1 1,5 5,4 4)", AllowSpikes
);
224 test::apply("l20", "LINESTRING(0 0,1 0,1 1,5 5,4 4,6 6)", AllowSpikes
);
225 test::apply("l21", "LINESTRING(0 0,1 0,1 1,5 5,4 4,4 0)", AllowSpikes
);
227 "LINESTRING(0 0,0 0,1 0,1 0,1 0,0 0,0 0,2 0)",
230 "LINESTRING(0 0,1 0,0 0,2 0,0 0,3 0,0 0,4 0)",
233 "LINESTRING(0 0,1 0,0 0,2 0,0 0,3 0,0 0,4 0,0 0)",
237 test::apply("l25", "LINESTRING(0 0,10 0,10 10,5 0,4 0)", true);
238 test::apply("l26", "LINESTRING(0 0,10 0,10 10,5 0,4 0,3 0)", true);
239 test::apply("l27", "LINESTRING(0 0,10 0,10 10,5 0,4 0,-1 0)", true);
240 test::apply("l28", "LINESTRING(0 0,1 0,1 1,-1 1,-1 0,0 0)", true);
241 test::apply("l29", "LINESTRING(0 0,1 0,1 1,-1 1,-1 0,0.5 0)", true);
244 BOOST_AUTO_TEST_CASE( test_is_valid_linestring
)
246 #ifdef BOOST_GEOMETRY_TEST_DEBUG
247 std::cout
<< std::endl
<< std::endl
;
248 std::cout
<< "************************************" << std::endl
;
249 std::cout
<< " is_valid: LINESTRING " << std::endl
;
250 std::cout
<< "************************************" << std::endl
;
253 bool const allow_spikes
= true;
254 bool const do_not_allow_spikes
= !allow_spikes
;
256 test_linestrings
<linestring_type
, allow_spikes
>();
257 test_linestrings
<linestring_type
, do_not_allow_spikes
>();
260 template <typename G
, bool AllowSpikes
>
261 void test_multilinestrings()
263 #ifdef BOOST_GEOMETRY_TEST_DEBUG
264 std::cout
<< "SPIKES ALLOWED? "
271 typedef validity_tester_linear
<AllowSpikes
> tester
;
272 typedef test_valid
<tester
, G
> test
;
274 // empty multilinestring
275 test::apply("mls01", "MULTILINESTRING()", true);
277 // multilinestring with empty linestring(s)
278 test::apply("mls02", "MULTILINESTRING(())", false);
279 test::apply("mls03", "MULTILINESTRING((),(),())", false);
280 test::apply("mls04", "MULTILINESTRING((),(0 1,1 0))", false);
282 // multilinestring with invalid linestrings
283 test::apply("mls05", "MULTILINESTRING((0 0),(0 1,1 0))", false);
284 test::apply("mls06", "MULTILINESTRING((0 0,0 0),(0 1,1 0))", false);
285 test::apply("mls07", "MULTILINESTRING((0 0),(1 0))", false);
286 test::apply("mls08", "MULTILINESTRING((0 0,0 0),(1 0,1 0))", false);
287 test::apply("mls09", "MULTILINESTRING((0 0),(0 0))", false);
288 test::apply("mls10", "MULTILINESTRING((0 0,1 0,0 0),(5 0))", false);
290 // multilinstring that has linestrings with spikes
292 "MULTILINESTRING((0 0,1 0,0 0),(5 0,1 0,4 1))",
295 "MULTILINESTRING((0 0,1 0,0 0),(1 0,2 0))",
298 // valid multilinestrings
299 test::apply("mls13", "MULTILINESTRING((0 0,1 0,2 0),(5 0,1 0,4 1))", true);
300 test::apply("mls14", "MULTILINESTRING((0 0,1 0,2 0),(1 0,2 0))", true);
301 test::apply("mls15", "MULTILINESTRING((0 0,1 1),(0 1,1 0))", true);
302 test::apply("mls16", "MULTILINESTRING((0 0,1 1,2 2),(0 1,1 0,2 2))", true);
305 BOOST_AUTO_TEST_CASE( test_is_valid_multilinestring
)
307 #ifdef BOOST_GEOMETRY_TEST_DEBUG
308 std::cout
<< std::endl
<< std::endl
;
309 std::cout
<< "************************************" << std::endl
;
310 std::cout
<< " is_valid: MULTILINESTRING " << std::endl
;
311 std::cout
<< "************************************" << std::endl
;
314 bool const allow_spikes
= true;
315 bool const do_not_allow_spikes
= !allow_spikes
;
317 test_multilinestrings
<multi_linestring_type
, allow_spikes
>();
318 test_multilinestrings
<multi_linestring_type
, do_not_allow_spikes
>();
321 template <typename Point
, bool AllowDuplicates
>
322 inline void test_open_rings()
324 #ifdef BOOST_GEOMETRY_TEST_DEBUG
325 std::cout
<< std::endl
<< std::endl
;
326 std::cout
<< "************************************" << std::endl
;
327 std::cout
<< " is_valid: RING (open) " << std::endl
;
328 std::cout
<< "************************************" << std::endl
;
329 std::cout
<< "DUPLICATES ALLOWED? "
336 typedef bg::model::ring
<Point
, false, false> OG
; // ccw, open ring
337 typedef bg::model::ring
<Point
, false, true> CG
; // ccw, closed ring
338 typedef bg::model::ring
<Point
, true, false> CW_OG
; // cw, open ring
339 typedef bg::model::ring
<Point
, true, true> CW_CG
; // cw, closed ring
341 typedef validity_tester_areal
<AllowDuplicates
> tester
;
342 typedef test_valid
<tester
, OG
, CG
, CW_OG
, CW_CG
> test
;
345 test::apply("r01", "POLYGON(())", false);
346 test::apply("r02", "POLYGON((0 0))", false);
347 test::apply("r03", "POLYGON((0 0,1 0))", false);
350 test::apply("r04", "POLYGON((0 0,0 0,0 0))", false);
351 test::apply("r05", "POLYGON((0 0,1 0,1 0))", false);
352 test::apply("r06", "POLYGON((0 0,1 0,0 0))", false);
353 test::apply("r07", "POLYGON((0 0,1 0,1 1,0 0,0 0))", AllowDuplicates
);
354 test::apply("r08", "POLYGON((0 0,1 0,1 0,1 1))", AllowDuplicates
);
355 test::apply("r09", "POLYGON((0 0,1 0,1 0,1 1,0 0))", AllowDuplicates
);
358 test::apply("r10", "POLYGON((0 0,2 0,2 2,0 2,1 2))", false);
359 test::apply("r11", "POLYGON((0 0,2 0,1 0,2 2))", false);
360 test::apply("r12", "POLYGON((0 0,1 0,2 0,1 0,4 0,4 4))", false);
361 test::apply("r13", "POLYGON((0 0,2 0,2 2,1 0))", false);
362 test::apply("r14", "POLYGON((0 0,2 0,1 0))", false);
363 test::apply("r15", "POLYGON((0 0,5 0,5 5,4 4,5 5,0 5))", false);
364 test::apply("r16", "POLYGON((0 0,5 0,5 5,4 4,3 3,5 5,0 5))", false);
366 // with spikes and duplicate points
367 test::apply("r17", "POLYGON((0 0,0 0,2 0,2 0,1 0,1 0))", false);
369 // with self-crossings
370 test::apply("r18", "POLYGON((0 0,5 0,5 5,3 -1,0 5))", false);
372 // with self-crossings and duplicate points
373 test::apply("r19", "POLYGON((0 0,5 0,5 5,5 5,3 -1,0 5,0 5))", false);
375 // with self-intersections
376 test::apply("r20", "POLYGON((0 0,5 0,5 5,3 5,3 0,2 0,2 5,0 5))", false);
378 test::apply("r21", "POLYGON((0 0,5 0,5 5,3 5,3 0,2 5,0 5))", false);
381 "POLYGON((0 0,5 0,5 1,1 1,1 2,2 2,3 1,4 2,5 2,5 5,0 5))",
384 // with self-intersections and duplicate points
386 "POLYGON((0 0,5 0,5 5,3 5,3 5,3 0,3 0,2 0,2 0,2 5,2 5,0 5))",
389 // next two suggested by Adam Wulkiewicz
391 "POLYGON((0 0,5 0,5 5,0 5,4 4,2 2,0 5))",
394 "POLYGON((0 0,5 0,5 5,1 4,4 4,4 1,0 5))",
399 "POLYGON((0 0,5 0,5 5,4 4,1 4,1 1,4 1,4 4,0 5))",
402 "POLYGON((0 0,5 0,5 5,4 4,4 1,1 1,1 4,4 4,0 5))",
406 test::apply("r28", "POLYGON((0 0,1 0,1 1))", true);
407 test::apply("r29", "POLYGON((1 0,1 1,0 0))", true);
408 test::apply("r30", "POLYGON((0 0,1 0,1 1,0 1))", true);
409 test::apply("r31", "POLYGON((1 0,1 1,0 1,0 0))", true);
411 // test cases coming from buffer
413 "POLYGON((1.1713032141645456 -0.9370425713316364,\
414 5.1713032141645456 4.0629574286683638,\
415 4.7808688094430307 4.3753049524455756,\
416 4.7808688094430307 4.3753049524455756,\
417 0.7808688094430304 -0.6246950475544243,\
418 0.7808688094430304 -0.6246950475544243))",
422 test::apply("r33", "POLYGON((0 0,0 1,1 1))", false);
424 // Normal case, plus spikes formed in two different ways
425 test::apply("r34", "POLYGON((0 0,4 0,4 4,0 4,0 0))", true);
426 test::apply("r35", "POLYGON((0 0,5 0,4 0,4 4,0 4,0 0))", false);
427 test::apply("r36", "POLYGON((0 0,4 0,4 -1,4 4,0 4,0 0))", false);
431 template <typename Point
, bool AllowDuplicates
>
432 inline void test_closed_rings()
434 #ifdef BOOST_GEOMETRY_TEST_DEBUG
435 std::cout
<< std::endl
<< std::endl
;
436 std::cout
<< "************************************" << std::endl
;
437 std::cout
<< " is_valid: RING (closed) " << std::endl
;
438 std::cout
<< "************************************" << std::endl
;
439 std::cout
<< "DUPLICATES ALLOWED? "
446 typedef bg::model::ring
<Point
, false, true> CG
; // ccw, closed ring
447 typedef bg::model::ring
<Point
, true, true> CW_CG
; // cw, closed ring
449 typedef validity_tester_areal
<AllowDuplicates
> tester
;
450 typedef test_valid
<tester
, CG
, CG
, CW_CG
> test
;
453 test::apply("r01c", "POLYGON(())", false);
454 test::apply("r02c", "POLYGON((0 0))", false);
455 test::apply("r03c", "POLYGON((0 0,0 0))", false);
456 test::apply("r04c", "POLYGON((0 0,1 0))", false);
457 test::apply("r05c", "POLYGON((0 0,1 0,1 0))", false);
458 test::apply("r06c", "POLYGON((0 0,1 0,2 0))", false);
459 test::apply("r07c", "POLYGON((0 0,1 0,1 0,2 0))", false);
460 test::apply("r08c", "POLYGON((0 0,1 0,2 0,2 0))", false);
462 // boundary not closed
463 test::apply("r09c", "POLYGON((0 0,1 0,1 1,1 2))", false);
464 test::apply("r10c", "POLYGON((0 0,1 0,1 0,1 1,1 1,1 2))", false);
467 test::apply("r11c", "POLYGON((0 0,1 0,1 0,2 0,0 0))", false);
468 test::apply("r12c", "POLYGON((0 0,1 0,1 1,2 2,0.5 0.5,0 1,0 0))", false);
471 test::apply("r13c", "POLYGON((0 0,0 1,1 1,2 0,0 0))", false);
474 BOOST_AUTO_TEST_CASE( test_is_valid_ring
)
476 bool const allow_duplicates
= true;
477 bool const do_not_allow_duplicates
= !allow_duplicates
;
479 test_open_rings
<point_type
, allow_duplicates
>();
480 test_open_rings
<point_type
, do_not_allow_duplicates
>();
482 test_closed_rings
<point_type
, allow_duplicates
>();
483 test_closed_rings
<point_type
, do_not_allow_duplicates
>();
486 template <typename Point
, bool AllowDuplicates
>
487 inline void test_open_polygons()
489 #ifdef BOOST_GEOMETRY_TEST_DEBUG
490 std::cout
<< std::endl
<< std::endl
;
491 std::cout
<< "************************************" << std::endl
;
492 std::cout
<< " is_valid: POLYGON (open) " << std::endl
;
493 std::cout
<< "************************************" << std::endl
;
494 std::cout
<< "DUPLICATES ALLOWED? "
501 typedef bg::model::polygon
<Point
, false, false> OG
; // ccw, open
502 typedef bg::model::polygon
<Point
, false, true> CG
; // ccw, closed
503 typedef bg::model::polygon
<Point
, true, false> CW_OG
; // cw, open
504 typedef bg::model::polygon
<Point
, true, true> CW_CG
; // cw, closed
506 typedef validity_tester_areal
<AllowDuplicates
> tester
;
507 typedef test_valid
<tester
, OG
, CG
, CW_OG
, CW_CG
> test
;
509 // not enough points in exterior ring
510 test::apply("pg001", "POLYGON(())", false);
511 test::apply("pg002", "POLYGON((0 0))", false);
512 test::apply("pg003", "POLYGON((0 0,1 0))", false);
514 // not enough points in interior ring
515 test::apply("pg004", "POLYGON((0 0,10 0,10 10,0 10),())", false);
516 test::apply("pg005", "POLYGON((0 0,10 0,10 10,0 10),(1 1))", false);
517 test::apply("pg006", "POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2))", false);
519 // duplicate points in exterior ring
520 test::apply("pg007", "POLYGON((0 0,0 0,0 0))", false);
521 test::apply("pg008", "POLYGON((0 0,1 0,1 0))", false);
522 test::apply("pg009", "POLYGON((0 0,1 0,0 0))", false);
523 test::apply("pg010", "POLYGON((0 0,1 0,1 1,0 0,0 0))", AllowDuplicates
);
524 test::apply("pg011", "POLYGON((0 0,1 0,1 0,1 1))", AllowDuplicates
);
525 test::apply("pg012", "POLYGON((0 0,1 0,1 0,1 1,0 0))", AllowDuplicates
);
527 // duplicate points in interior ring
528 test::apply("pg013", "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 1,1 1))", false);
529 test::apply("pg014", "POLYGON((0 0,10 0,10 10,0 10),(1 1,2 1,2 1))", false);
530 test::apply("pg015", "POLYGON((0 0,10 0,10 10,0 10),(1 1,2 1,1 1))", false);
532 "POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2,2 1,1 1,1 1))",
535 "POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2,2 2,2 1))",
538 "POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2,2 1,2 1,1 1))",
541 // with spikes in exterior ring
542 test::apply("pg019", "POLYGON((0 0,2 0,2 2,0 2,1 2))", false);
543 test::apply("pg020", "POLYGON((0 0,2 0,1 0,2 2))", false);
544 test::apply("pg021", "POLYGON((0 0,1 0,2 0,1 0,4 0,4 4))", false);
545 test::apply("pg022", "POLYGON((0 0,2 0,2 2,1 0))", false);
546 test::apply("pg023", "POLYGON((0 0,2 0,1 0))", false);
547 test::apply("pg024", "POLYGON((0 0,5 0,5 5,4 4,5 5,0 5))", false);
548 test::apply("pg025", "POLYGON((0 0,5 0,5 5,4 4,3 3,5 5,0 5))", false);
550 // with spikes in interior ring
552 "POLYGON((0 0,10 0,10 10,0 10),(1 1,3 1,3 3,1 3,2 3))",
555 "POLYGON((0 0,10 0,10 10,0 10),(1 1,3 1,2 1,3 3))",
558 "POLYGON((0 0,10 0,10 10,0 10),(1 1,2 1,3 1,2 1,4 1,4 4))",
561 "POLYGON((0 0,10 0,10 10,0 10),(1 1,3 1,3 3,2 1))",
563 test::apply("pg030", "POLYGON((0 0,10 0,10 10,0 10),(1 1,3 1,2 1))", false);
565 // with self-crossings in exterior ring
566 test::apply("pg031", "POLYGON((0 0,5 0,5 5,3 -1,0 5))", false);
568 // example from Norvald Ryeng
570 "POLYGON((100 1300,140 1300,140 170,100 1700))",
572 // and with point order reversed
574 "POLYGON((100 1300,100 1700,140 170,140 1300))",
577 // with self-crossings in interior ring
579 "POLYGON((0 0,10 0,10 10,0 10),(3 3,3 7,4 6,2 6))",
582 // with self-crossings between rings
583 test::apply("pg035", "POLYGON((0 0,5 0,5 5,0 5),(1 1,2 1,1 -1))", false);
585 // with self-intersections in exterior ring
586 test::apply("pg036", "POLYGON((0 0,5 0,5 5,3 5,3 0,2 0,2 5,0 5))", false);
587 test::apply("pg037", "POLYGON((0 0,5 0,5 5,3 5,3 0,2 5,0 5))", false);
589 "POLYGON((0 0,5 0,5 1,1 1,1 2,2 2,3 1,4 2,5 2,5 5,0 5))",
592 // next two suggested by Adam Wulkiewicz
593 test::apply("pg039", "POLYGON((0 0,5 0,5 5,0 5,4 4,2 2,0 5))", false);
594 test::apply("pg040", "POLYGON((0 0,5 0,5 5,1 4,4 4,4 1,0 5))", false);
596 "POLYGON((0 0,5 0,5 5,4 4,1 4,1 1,4 1,4 4,0 5))",
599 "POLYGON((0 0,5 0,5 5,4 4,4 1,1 1,1 4,4 4,0 5))",
602 // with self-intersections in interior ring
604 "POLYGON((-10 -10,10 -10,10 10,-10 10),(0 0,5 0,5 5,3 5,3 0,2 0,2 5,0 5))",
607 "POLYGON((-10 -10,10 -10,10 10,-10 10),(0 0,5 0,5 5,3 5,3 0,2 5,0 5))",
611 "POLYGON((-10 -10,10 -10,10 10,-10 10),(0 0,5 0,5 1,1 1,1 2,2 2,3 1,4 2,5 2,5 5,0 5))",
614 // with self-intersections between rings
615 // hole has common segment with exterior ring
617 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 10,2 10,2 1))",
620 "POLYGON((0 0,0 0,10 0,10 10,0 10,0 10),(1 1,1 10,1 10,2 10,2 10,2 1))",
622 // hole touches exterior ring at one point
623 test::apply("pg048", "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 10,2 1))", true);
625 // "hole" is outside the exterior ring, but touches it
627 "POLYGON((0 0,10 0,10 10,0 10),(5 10,4 11,6 11))",
630 // hole touches exterior ring at vertex
631 test::apply("pg050", "POLYGON((0 0,10 0,10 10,0 10),(0 0,1 4,4 1))", true);
633 // "hole" is completely outside the exterior ring
635 "POLYGON((0 0,10 0,10 10,0 10),(20 20,20 21,21 21,21 20))",
638 // two "holes" completely outside the exterior ring, that touch
641 "POLYGON((0 0,10 0,10 10,0 10),(20 0,25 10,21 0),(30 0,25 10,31 0))",
644 // example from Norvald Ryeng
646 "POLYGON((58 31,56.57 30,62 33),(35 9,28 14,31 16),(23 11,29 5,26 4))",
648 // and with points reversed
650 "POLYGON((58 31,62 33,56.57 30),(35 9,31 16,28 14),(23 11,26 4,29 5))",
653 // "hole" is completely inside another "hole"
655 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,2 8,8 8,8 2))",
658 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,8 2,8 8,2 8))",
661 // "hole" is inside another "hole" (touching)
663 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,2 8,8 8,9 6,8 2))",
666 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,2 8,8 8,9 6,8 2))",
668 test::apply("pg058a",
669 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,8 2,9 6,8 8,2 8))",
672 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,2 8,8 8,9 6,8 2))",
674 test::apply("pg059a",
675 "POLYGON((0 0,10 0,10 10,0 10),(1 1,9 1,9 9,1 9),(2 2,2 8,8 8,9 6,8 2))",
678 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,2 8,8 8,9 6,8 2))",
680 test::apply("pg060a",
681 "POLYGON((0 0,10 0,10 10,0 10),(1 1,9 1,9 9,1 9),(2 2,8 2,9 6,8 8,2 8))",
683 // hole touches exterior ring at two points
684 test::apply("pg061", "POLYGON((0 0,10 0,10 10,0 10),(5 0,0 5,5 5))", false);
686 // cases with more holes
687 // two holes, touching the exterior at the same point
689 "POLYGON((0 0,10 0,10 10,0 10),(0 0,1 9,2 9),(0 0,9 2,9 1))",
692 "POLYGON((0 0,0 0,10 0,10 10,0 10,0 0),(0 0,0 0,1 9,2 9),(0 0,0 0,9 2,9 1))",
695 "POLYGON((0 10,0 0,0 0,0 0,10 0,10 10),(2 9,0 0,0 0,1 9),(9 1,0 0,0 0,9 2))",
697 // two holes, one inside the other
699 "POLYGON((0 0,10 0,10 10,0 10),(0 0,1 9,9 1),(0 0,4 5,5 4))",
701 // 1st hole touches has common segment with 2nd hole
703 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 5,5 5,5 1),(5 4,5 8,8 8,8 4))",
705 // 1st hole touches 2nd hole at two points
707 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 8,2 8,2 1),(2 5,5 8,5 5))",
709 // polygon with many holes, where the last two touch at two points
711 "POLYGON((0 0,20 0,20 20,0 20),(1 18,1 19,2 19,2 18),(3 18,3 19,4 19,4 18),(5 18,5 19,6 19,6 18),(7 18,7 19,8 19,8 18),(9 18,9 19,10 19,10 18),(11 18,11 19,12 19,12 18),(13 18,13 19,14 19,14 18),(15 18,15 19,16 19,16 18),(17 18,17 19,18 19,18 18),(1 1,1 9,9 9,9 8,2 8,2 1),(2 5,5 8,5 5))",
713 // two holes completely inside exterior ring but touching each
716 "POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,2 9),(1 1,9 2,9 1))",
718 // four holes, each two touching at different points
720 "POLYGON((0 0,10 0,10 10,0 10),(0 10,2 1,1 1),(0 10,4 1,3 1),(10 10,9 1,8 1),(10 10,7 1,6 1))",
722 // five holes, with two pairs touching each at some point, and
723 // fifth hole creating a disconnected component for the interior
725 "POLYGON((0 0,10 0,10 10,0 10),(0 10,2 1,1 1),(0 10,4 1,3 1),(10 10,9 1,8 1),(10 10,7 1,6 1),(4 1,4 4,6 4,6 1))",
727 // five holes, with two pairs touching each at some point, and
728 // fifth hole creating three disconnected components for the interior
730 "POLYGON((0 0,10 0,10 10,0 10),(0 10,2 1,1 1),(0 10,4 1,3 1),(10 10,9 1,8 1),(10 10,7 1,6 1),(4 1,4 4,6 4,6 1,5 0))",
733 // both examples: a polygon with one hole, where the hole contains
736 "POLYGON((0 0,1 0,1 1,0 1),(-10 -10,-10 10,10 10,10 -10))",
739 "POLYGON((-10 -10,1 0,1 1,0 1),(-10 -10,-10 10,10 10,10 -10))",
744 "POLYGON((-6 -10,-6.6923076923076925 -6.711538461538462,\
745 -9 -7,-8.824742268041238 -6.123711340206185,\
746 -10 -6,-8.583333333333332 -4.916666666666667,\
747 -8.094117647058823 -2.4705882352941173,-10 -3,\
748 -8.526315789473683 -0.05263157894736803,-10 1,\
749 -10 10,-7.764705882352941 8.509803921568627,\
750 -7.65090909090909 7.789090909090909,-10 10,\
751 -7.574468085106383 7.304964539007091,-7.4375 6.4375,\
752 -6.5 5.5,-6.4 6,-7.574468085106383 7.304964539007091,\
753 -7.65090909090909 7.789090909090909,\
754 -6.297029702970297 6.514851485148515,\
755 0 0,-6.297029702970297 6.514851485148515,\
756 -4.848484848484849 5.151515151515151,-4 6,\
757 -6.117647058823529 7.411764705882352,\
758 0 0,-6.11764705882353 7.411764705882353,\
759 -7.764705882352941 8.509803921568627,-8 10,\
760 -2.9473684210526314 7.052631578947368,-2 8,\
761 -0.17821782178217824 6.633663366336634,1 10,\
762 1.8095238095238098 5.142857142857142,\
763 3.2038834951456314 4.097087378640777,7 7,\
764 3.7142857142857144 3.7142857142857144,\
765 4.4 3.1999999999999997,8 2,\
766 6.540540540540541 1.5945945945945947,10 -1,\
767 7.454545454545455 -4.393939393939394,8 -5,\
768 7.320754716981132 -4.716981132075472,7 -6,\
769 6.062068965517241 -5.117241379310345,\
770 4.9504132231404965 -5.256198347107438,\
771 6.1506849315068495 -7.123287671232877,9 -8,\
772 6.548387096774194 -7.741935483870968,8 -10,\
773 5.906976744186046 -7.674418604651163,\
774 3.9107142857142856 -7.464285714285714,4 -8,\
775 2.8043478260869565 -7.3478260869565215,\
776 1.7829457364341086 -7.24031007751938,2 -8,\
777 1.0728476821192054 -7.1655629139072845,\
778 -4.3583617747440275 -6.593856655290103,-5 -9,\
779 -5.2020725388601035 -7.720207253886011,-6 -10),\
780 (5.127659574468085 -6.808510638297872,\
781 3.72972972972973 -6.378378378378379,\
782 3.571428571428571 -5.428571428571429,\
783 3.8539325842696632 -5.393258426966292,\
784 5.127659574468085 -6.808510638297872),\
785 (-5.5 4.5,-6.5 5.5,-6.4 6,\
786 -5.263157894736842 4.736842105263158,-5.5 4.5))",
789 // test cases coming from buffer
792 "POLYGON((1.1713032141645456 -0.9370425713316364,\
793 5.1713032141645456 4.0629574286683638,\
794 4.7808688094430307 4.3753049524455756,\
795 4.7808688094430307 4.3753049524455756,\
796 0.7808688094430304 -0.6246950475544243,\
797 0.7808688094430304 -0.6246950475544243))",
801 // MySQL report on Sep 30, 2015
804 "POLYGON((72.8714768817168 -167.0048853643874,9274.40641550926 3433.5957427942167,-58.09039811390054 187.50989457746405,-81.09039811390053 179.50989457746405,-207.99999999999997 135.36742435621204,-208 1,-208 0,-208 -276.9111154485375,49.8714768817168 -176.0048853643874))",
807 test::apply("pg077-simplified",
808 "POLYGON((-200 0,-207.99999999999997 135.36742435621204,-208 1,-208 0,-208 -276.9111154485375))",
813 "POLYGON((0 10,-10 0,0 0,10 0))",
818 "POLYGON((0 10,-10 0,0 0,-10 0,10 0))",
823 "POLYGON((0 10,-10 0,0 0,-8 0,10 0))",
828 "POLYGON((0 10,-10 0,0 0,-11 0,10 0))",
833 "POLYGON((0 10,10 0,0 0,-10 0))",
838 "POLYGON((10 0,0 10,0 0,0 -10))",
843 "POLYGON((10 0,0 10,0 0,0 10,0 -10))",
848 "POLYGON((10 0,0 10,0 0,0 8,0 -10))",
853 "POLYGON((10 0,0 10,0 0,0 11,0 -10))",
858 "POLYGON((10 0,0 -10,0 0,0 10))",
863 template <typename Point
>
864 inline void test_doc_example_polygon()
866 #ifdef BOOST_GEOMETRY_TEST_DEBUG
867 std::cout
<< std::endl
<< std::endl
;
868 std::cout
<< "************************************" << std::endl
;
869 std::cout
<< " is_valid: doc example polygon " << std::endl
;
870 std::cout
<< "************************************" << std::endl
;
873 typedef bg::model::polygon
<Point
> ClockwiseClosedPolygon
;
874 typedef validity_tester_areal
<true> tester
;
875 typedef test_valid
<tester
, ClockwiseClosedPolygon
> test
;
877 test::apply("pg-doc",
878 "POLYGON((0 0,0 10,10 10,10 0,0 0),(0 0,9 1,9 2,0 0),(0 0,2 9,1 9,0 0),(2 9,9 2,9 9,2 9))",
881 // Containing a self touching point, which should be valid
882 test::apply("ggl_list_20190307_matthieu_2", ggl_list_20190307_matthieu_2
[1], true);
885 BOOST_AUTO_TEST_CASE( test_is_valid_polygon
)
887 bool const allow_duplicates
= true;
888 bool const do_not_allow_duplicates
= !allow_duplicates
;
890 test_open_polygons
<point_type
, allow_duplicates
>();
891 test_open_polygons
<point_type
, do_not_allow_duplicates
>();
892 test_doc_example_polygon
<point_type
>();
895 template <typename Point
, bool AllowDuplicates
>
896 inline void test_open_multipolygons()
898 // WKT of multipolygons should be defined as ccw, open
900 #ifdef BOOST_GEOMETRY_TEST_DEBUG
901 std::cout
<< std::endl
<< std::endl
;
902 std::cout
<< "************************************" << std::endl
;
903 std::cout
<< " is_valid: MULTIPOLYGON (open) " << std::endl
;
904 std::cout
<< "************************************" << std::endl
;
905 std::cout
<< "DUPLICATES ALLOWED? "
912 // cw, ccw, open and closed polygons
913 typedef bg::model::polygon
<point_type
,false,false> ccw_open_polygon_type
;
914 typedef bg::model::polygon
<point_type
,false,true> ccw_closed_polygon_type
;
915 typedef bg::model::polygon
<point_type
,true,false> cw_open_polygon_type
;
916 typedef bg::model::polygon
<point_type
,true,true> cw_closed_polygon_type
;
918 typedef bg::model::multi_polygon
<ccw_open_polygon_type
> OG
;
919 typedef bg::model::multi_polygon
<ccw_closed_polygon_type
> CG
;
920 typedef bg::model::multi_polygon
<cw_open_polygon_type
> CW_OG
;
921 typedef bg::model::multi_polygon
<cw_closed_polygon_type
> CW_CG
;
923 typedef validity_tester_areal
<AllowDuplicates
> tester
;
924 typedef test_valid
<tester
, OG
, CG
, CW_OG
, CW_CG
> test
;
927 test::apply("mpg01", "MULTIPOLYGON()", true);
928 test::apply("mpg02", "MULTIPOLYGON((()))", false);
929 test::apply("mpg03", "MULTIPOLYGON(((0 0)),(()))", false);
930 test::apply("mpg04", "MULTIPOLYGON(((0 0,1 0)))", false);
932 // two disjoint polygons
934 "MULTIPOLYGON(((0 0,1 0,1 1,0 1)),((2 2,3 2,3 3,2 3)))",
937 // two disjoint polygons with multiple points
939 "MULTIPOLYGON(((0 0,1 0,1 0,1 1,0 1)),((2 2,3 2,3 3,3 3,2 3)))",
942 // two polygons touch at a point
944 "MULTIPOLYGON(((0 0,1 0,1 1,0 1)),((1 1,2 1,2 2,1 2)))",
947 // two polygons share a segment at a point
949 "MULTIPOLYGON(((0 0,1.5 0,1.5 1,0 1)),((1 1,2 1,2 2,1 2)))",
952 // one polygon inside another and boundaries touching
954 "MULTIPOLYGON(((0 0,10 0,10 10,0 10)),((0 0,9 1,9 2)))",
956 test::apply("mpg09_2",
957 "MULTIPOLYGON(((0 0,5 1,10 0,10 10,0 10)),((1 1,9 1,9 2)))",
960 // one polygon inside another and boundaries not touching
962 "MULTIPOLYGON(((0 0,10 0,10 10,0 10)),((1 1,9 1,9 2)))",
965 // free space is disconnected
967 "MULTIPOLYGON(((0 0,1 0,1 1,0 1)),((1 1,2 1,2 2,1 2)),((0 1,0 2,-1 2,-1 -1)),((1 2,1 3,0 3,0 2)))",
970 // multi-polygon with a polygon inside the hole of another polygon
972 "MULTIPOLYGON(((0 0,100 0,100 100,0 100),(1 1,1 99,99 99,99 1)),((2 2,98 2,98 98,2 98)))",
975 "MULTIPOLYGON(((0 0,100 0,100 100,0 100),(1 1,1 99,99 99,99 1)),((1 1,98 2,98 98,2 98)))",
978 // test case suggested by Barend Gehrels: take two valid polygons P1 and
979 // P2 with holes H1 and H2, respectively, and consider P2 to be
980 // fully inside H1; now invalidate the multi-polygon by
981 // considering H2 as a hole of P1 and H1 as a hole of P2; this
984 // first the valid case:
986 "MULTIPOLYGON(((0 0,100 0,100 100,0 100),(1 1,1 99,99 99,99 1)),((2 2,98 2,98 98,2 98),(3 3,3 97,97 97,97 3)))",
988 // and the invalid case:
990 "MULTIPOLYGON(((0 0,100 0,100 100,0 100),(3 3,3 97,97 97,97 3)),((2 2,98 2,98 98,2 98),(1 1,1 99,99 99,99 1)))",
995 "MULTIPOLYGON(((-1 4,8 -10,-10 10,7 -6,8 -2,\
996 -10 10,-10 1,-3 -4,4 1,-1 2,4 3,-8 10,-5 -9,-1 6,-5 0)),\
997 ((-10 -3,-8 1,2 -8,-2 6,-4 0,8 -5,-1 5,8 2)),\
998 ((-6 -10,1 10,4 -8,-7 -2,2 0,-4 3,-10 9)),\
999 ((10 -1,-2 8,-7 3,-6 8,-9 -7,7 -5)),\
1000 ((7 7,-4 -4,9 -8,-10 -6)))",
1005 "MULTIPOLYGON(((-1 4,8 -10,-10 10,7 -6,8 -2,\
1006 -10 10,-10 1,-3 -4,4 1,-1 2,4 3,-8 10,-5 -9,-1 6,-5 0)),\
1007 ((-10 -3,-8 1,2 -8,-2 6,-4 0,8 -5,-1 5,8 2)),\
1008 ((-6 -10,-10 9,-4 3,2 0,-7 -2,4 -8,1 10)),\
1009 ((10 -1,-2 8,-7 3,-6 8,-9 -7,7 -5)),\
1010 ((7 7,-10 -6,9 -8,-4 -4)))",
1013 // test cases coming from buffer
1015 std::string wkt
= "MULTIPOLYGON(((1.1713032141645456 -0.9370425713316364,5.1713032141645456 4.0629574286683638,4.7808688094430307 4.3753049524455756,4.7808688094430307 4.3753049524455756,0.7808688094430304 -0.6246950475544243,0.7808688094430304 -0.6246950475544243,1.1713032141645456 -0.9370425713316364)))";
1017 OG open_mpgn
= from_wkt
<OG
>(wkt
);
1018 bg::reverse(open_mpgn
);
1020 test::apply("mpg18", open_mpgn
, false);
1023 // the polygon has a self-touching point at (7,8),
1024 // defining an interior ring which is not part of its definition,
1025 // and is therefore invalid
1026 std::string wkt
= "MULTIPOLYGON(((5.2811206375710933 9.9800205994776228,5.2446420208654896 10.0415020265598844,5.1807360092909640 10.1691699739962242,5.1261005500004773 10.3010716408018013,5.0810140527710059 10.4365348863171388,5.0457062680576819 10.5748694208940446,5.0203571162381344 10.7153703234534277,5.0050957707794934 10.8573216336015328,5.0000000000000000 10.9999999999999964,5.0050957707794925 11.1426783663984619,5.0203571162381344 11.2846296765465670,5.0457062680576801 11.4251305791059501,5.0810140527710042 11.5634651136828559,5.1261005500004755 11.6989283591981934,5.1807360092909622 11.8308300260037704,5.2446420208654869 11.9584979734401102,5.3174929343376363 12.0812816349111927,5.3989175181512774 12.1985553330226910,5.4885008512914810 12.3097214678905669,5.5857864376269024 12.4142135623730923,5.6902785321094269 12.5114991487085145,5.8014446669773028 12.6010824818487190,5.9187183650888020 12.6825070656623602,6.0415020265598844 12.7553579791345104,6.1691699739962260 12.8192639907090360,6.3010716408018030 12.8738994499995236,6.4365348863171405 12.9189859472289950,6.5748694208940472 12.9542937319423199,6.7153703234534312 12.9796428837618656,6.8573216336015381 12.9949042292205075,7.0000000000000036 13.0000000000000000,7.1426783663984690 12.9949042292205075,7.2846296765465750 12.9796428837618656,7.4251305791059590 12.9542937319423181,7.5634651136828657 12.9189859472289932,7.6989283591982032 12.8738994499995201,7.8308300260037802 12.8192639907090324,7.9584979734401209 12.7553579791345069,8.0812816349112033 12.6825070656623566,8.1985553330227017 12.6010824818487137,8.3097214678905793 12.5114991487085092,8.4142135623731029 12.4142135623730869,8.5114991487085252 12.3097214678905598,8.6010824818487297 12.1985553330226821,8.6825070656623708 12.0812816349111838,8.7553579791345193 11.9584979734400996,8.8192639907090431 11.8308300260037580,8.8738994499995290 11.6989283591981810,8.9189859472290003 11.5634651136828417,8.9542937319423235 11.4251305791059359,8.9796428837618691 11.2846296765465510,8.9949042292205093 11.1426783663984441,9.0000000000000000 11.0000000000000000,8.9949042292205075 10.8573216336015346,8.9796428837618656 10.7153703234534294,8.9542937319423181 10.5748694208940464,8.9189859472289950 10.4365348863171405,8.8738994499995236 10.3010716408018030,8.8192639907090360 10.1691699739962278,8.7553579791345122 10.0415020265598862,8.7188787869375428 9.9800200826281831,8.8573216336015381 9.9949042292205075,9.0000000000000036 10.0000000000000000,9.1426783663984690 9.9949042292205075,9.2846296765465759 9.9796428837618656,9.4251305791059590 9.9542937319423181,9.5634651136828648 9.9189859472289932,9.6989283591982041 9.8738994499995201,9.8308300260037793 9.8192639907090324,9.9584979734401209 9.7553579791345069,10.0812816349112033 9.6825070656623566,10.1985553330227017 9.6010824818487137,10.3097214678905793 9.5114991487085092,10.4142135623731029 9.4142135623730869,10.5114991487085252 9.3097214678905598,10.6010824818487297 9.1985553330226821,10.6825070656623708 9.0812816349111838,10.7553579791345193 8.9584979734400996,10.8192639907090431 8.8308300260037580,10.8738994499995290 8.6989283591981810,10.9189859472290003 8.5634651136828417,10.9542937319423235 8.4251305791059359,10.9796428837618691 8.2846296765465510,10.9949042292205093 8.1426783663984441,11.0000000000000000 8.0000000000000000,10.9949042292205075 7.8573216336015355,10.9796428837618656 7.7153703234534294,10.9542937319423181 7.5748694208940464,10.9189859472289950 7.4365348863171405,10.8738994499995236 7.3010716408018030,10.8192639907090360 7.1691699739962269,10.7553579791345122 7.0415020265598862,10.6825070656623620 6.9187183650888047,10.6010824818487208 6.8014446669773063,10.5114991487085163 6.6902785321094296,10.4142135623730958 6.5857864376269051,10.3097214678905704 6.4885008512914837,10.1985553330226946 6.3989175181512792,10.0812816349111962 6.3174929343376380,9.9584979734401138 6.2446420208654887,9.8308300260037740 6.1807360092909640,9.6989283591981970 6.1261005500004764,9.5634651136828595 6.0810140527710050,9.4251305791059536 6.0457062680576810,9.2846296765465706 6.0203571162381344,9.1426783663984654 6.0050957707794925,9.0000000000000018 6.0000000000000000,8.8573216336015363 6.0050957707794925,8.7153703234534312 6.0203571162381344,8.5748694208940481 6.0457062680576810,8.4365348863171423 6.0810140527710050,8.3010716408018048 6.1261005500004764,8.1691699739962278 6.1807360092909622,8.0415020265598880 6.2446420208654878,7.9187183650888064 6.3174929343376363,7.8014446669773072 6.3989175181512783,7.6902785321094314 6.4885008512914819,7.5857864376269060 6.5857864376269033,7.4885008512914846 6.6902785321094278,7.3989175181512810 6.8014446669773045,7.3174929343376389 6.9187183650888029,7.2446420208654896 7.0415020265598844,7.1807360092909640 7.1691699739962251,7.1261005500004773 7.3010716408018013,7.0810140527710059 7.4365348863171379,7.0457062680576819 7.5748694208940437,7.0203571162381344 7.7153703234534268,7.0050957707794934 7.8573216336015328,"
1027 "7.0000000000000000 8.0000000000000000,7.0050957707794925 8.1426783663984619,7.0203571162381344 8.2846296765465670,7.0457062680576801 8.4251305791059501,7.0810140527710042 8.5634651136828559,7.1261005500004755 8.6989283591981934,7.1807360092909622 8.8308300260037704,7.2446420208654869 8.9584979734401102,7.2811219724467575 9.0199799990140797,7.1426783663984654 9.0050957707794925,7.0000000000000009 9.0000000000000000,6.8573216336015363 9.0050957707794925,6.7188786030357956 9.0199806804111571,6.7553579791345184 8.9584979734400996,6.8192639907090431 8.8308300260037580,6.8738994499995290 8.6989283591981810,6.9189859472290003 8.5634651136828417,6.9542937319423235 8.4251305791059359,6.9796428837618683 8.2846296765465510,6.9949042292205084 8.1426783663984441,"
1028 "7.0000000000000000 8.0000000000000000,6.9949042292205075 7.8573216336015355,6.9796428837618656 7.7153703234534294,6.9542937319423190 7.5748694208940464,6.9189859472289950 7.4365348863171405,6.8738994499995236 7.3010716408018030,6.8192639907090369 7.1691699739962269,6.7553579791345113 7.0415020265598862,6.6825070656623620 6.9187183650888047,6.6010824818487208 6.8014446669773063,6.5114991487085163 6.6902785321094296,6.4142135623730949 6.5857864376269051,6.3097214678905704 6.4885008512914837,6.1985553330226946 6.3989175181512792,6.0812816349111953 6.3174929343376380,5.9584979734401138 6.2446420208654887,5.8308300260037731 6.1807360092909640,5.6989283591981970 6.1261005500004764,5.5634651136828603 6.0810140527710050,5.4251305791059536 6.0457062680576810,5.2846296765465715 6.0203571162381344,5.1426783663984654 6.0050957707794925,5.0000000000000009 6.0000000000000000,4.8573216336015363 6.0050957707794925,4.7153703234534312 6.0203571162381344,4.5748694208940481 6.0457062680576810,4.4365348863171423 6.0810140527710050,4.3010716408018048 6.1261005500004764,4.1691699739962287 6.1807360092909622,4.0415020265598880 6.2446420208654878,3.9187183650888064 6.3174929343376363,3.8014446669773077 6.3989175181512783,3.6902785321094314 6.4885008512914819,3.5857864376269064 6.5857864376269033,3.4885008512914846 6.6902785321094278,3.3989175181512805 6.8014446669773045,3.3174929343376389 6.9187183650888029,3.2446420208654896 7.0415020265598844,3.1807360092909640 7.1691699739962251,3.1261005500004773 7.3010716408018013,3.0810140527710059 7.4365348863171379,3.0457062680576819 7.5748694208940437,3.0203571162381349 7.7153703234534268,3.0050957707794934 7.8573216336015328,3.0000000000000000 7.9999999999999973,3.0050957707794925 8.1426783663984619,3.0203571162381344 8.2846296765465670,3.0457062680576801 8.4251305791059501,3.0810140527710042 8.5634651136828559,3.1261005500004755 8.6989283591981934,3.1807360092909618 8.8308300260037704,3.2446420208654869 8.9584979734401102,3.3174929343376358 9.0812816349111927,3.3989175181512770 9.1985553330226910,3.4885008512914810 9.3097214678905669,3.5857864376269024 9.4142135623730923,3.6902785321094269 9.5114991487085145,3.8014446669773028 9.6010824818487190,3.9187183650888020 9.6825070656623602,4.0415020265598844 9.7553579791345104,4.1691699739962260 9.8192639907090360,4.3010716408018030 9.8738994499995236,4.4365348863171405 9.9189859472289950,4.5748694208940472 9.9542937319423199,4.7153703234534312 9.9796428837618656,4.8573216336015381 9.9949042292205075,5.0000000000000036 10.0000000000000000,5.1426783663984690 9.9949042292205075)))";
1030 OG open_mpgn
= from_wkt
<OG
>(wkt
);
1031 bg::reverse(open_mpgn
);
1033 test::apply("mpg19", open_mpgn
, false);
1034 geometry_to_svg(open_mpgn
, "mpg19");
1037 std::string wkt
= "MULTIPOLYGON(((-1.1713032141645421 0.9370425713316406,-1.2278293047051545 0.8616467945203863,-1.2795097139219473 0.7828504914601357,-1.3261404828502752 0.7009646351604617,-1.3675375811487496 0.6163123916860891,-1.4035376333829217 0.5292278447680804,-1.4339985637934827 0.4400546773279756,-1.4588001570043776 0.3491448151183161,-1.4778445324579732 0.2568570378324778,-1.4910565307049013 0.1635555631651331,-1.4983840100240693 0.0696086094114048,-1.4997980522022116 -0.0246130577225216,-1.4952930766608652 -0.1187375883622537,-1.4848868624803642 -0.2123935159867641,-1.4686204782339323 -0.3052112234370423,-1.4465581199087858 -0.3968244016261590,-1.4187868575539013 -0.4868714951938814,-1.3854162916543107 -0.5749971294005020,-1.3465781205880585 -0.6608535126285795,-1.3024256208728704 -0.7441018089575634,-1.2531330422537639 -0.8244134753943718,-1.1988949200189114 -0.9014715584824893,-1.1399253072577331 -0.9749719451724563,-1.0764569300911435 -1.0446245630171400,-1.0087402692078766 -1.1101545249551616,-0.9370425713316382 -1.1713032141645441,-0.8616467945203836 -1.2278293047051563,-0.7828504914601331 -1.2795097139219491,-0.7009646351604588 -1.3261404828502767,-0.6163123916860862 -1.3675375811487509,-0.5292278447680773 -1.4035376333829228,-0.4400546773279725 -1.4339985637934838,-0.3491448151183129 -1.4588001570043785,-0.2568570378324746 -1.4778445324579736,-0.1635555631651299 -1.4910565307049017,-0.0696086094114016 -1.4983840100240695,0.0246130577225248 -1.4997980522022114,0.1187375883622569 -1.4952930766608650,0.2123935159867673 -1.4848868624803639,0.3052112234370455 -1.4686204782339316,0.3968244016261621 -1.4465581199087849,0.4868714951938845 -1.4187868575539002,0.5749971294005050 -1.3854162916543096,0.6608535126285824 -1.3465781205880569,0.7441018089575662 -1.3024256208728686,0.8244134753943745 -1.2531330422537621,0.9014715584824917 -1.1988949200189096,0.9749719451724583 -1.1399253072577313,1.0446245630171418 -1.0764569300911420,1.1101545249551634 -1.0087402692078746,1.1713032141645456 -0.9370425713316364,5.1713032141645456 4.0629574286683638,5.1713032141645439 4.0629574286683621,5.2278293047051561 4.1383532054796159,5.2795097139219491 4.2171495085398671,5.3261404828502767 4.2990353648395407,5.3675375811487509 4.3836876083139131,5.4035376333829230 4.4707721552319217,5.4339985637934838 4.5599453226720268,5.4588001570043785 4.6508551848816859,5.4778445324579739 4.7431429621675241,5.4910565307049017 4.8364444368348689,5.4983840100240693 4.9303913905885972,5.4997980522022116 5.0246130577225232,5.4952930766608645 5.1187375883622552,5.4848868624803639 5.2123935159867658,5.4686204782339320 5.3052112234370439,5.4465581199087856 5.3968244016261604,5.4187868575539007 5.4868714951938822,5.3854162916543107 5.5749971294005025,5.3465781205880578 5.6608535126285799,5.3024256208728699 5.7441018089575637,5.2531330422537632 5.8244134753943726,5.1988949200189110 5.9014715584824895,5.1399253072577329 5.9749719451724559,5.0764569300911440 6.0446245630171394,5.0087402692078768 6.1101545249551616,4.9370425713316379 6.1713032141645439,4.8616467945203841 6.2278293047051561,4.7828504914601337 6.2795097139219482,4.7009646351604593 6.3261404828502759,4.6163123916860869 6.3675375811487509,4.5292278447680783 6.4035376333829230,4.4400546773279732 6.4339985637934838,4.3491448151183141 6.4588001570043785,4.2568570378324750 6.4778445324579739,4.1635555631651311 6.4910565307049017,4.0696086094114028 6.4983840100240693,3.9753869422774759 6.4997980522022116,3.8812624116377439 6.4952930766608645,3.7876064840132333 6.4848868624803639,3.6947887765629552 6.4686204782339320,3.6031755983738387 6.4465581199087847,3.5131285048061165 6.4187868575539007,3.4250028705994957 6.3854162916543098,3.3391464873714183 6.3465781205880578,3.2558981910424345 6.3024256208728691,3.1755865246056261 6.2531330422537623,3.0985284415175087 6.1988949200189101,3.0250280548275423 6.1399253072577320,2.9553754369828584 6.0764569300911422,2.8898454750448366 6.0087402692078751,2.8286967858354544 5.9370425713316362,-1.1713032141645456 0.9370425713316364,-1.1713032141645421 0.9370425713316406)))";
1039 OG open_mpgn
= from_wkt
<OG
>(wkt
);
1040 bg::reverse(open_mpgn
);
1042 // polygon contains a spike
1043 test::apply("mpg20", open_mpgn
, false);
1046 // Interior ring touches exterior ring, which at that same point touches another exterior ring in (1 2)
1049 "MULTIPOLYGON(((2 3,1 2,1 0,2 0,2 1,4 3),(2 2,1.5 1.5,1 2)),((0 3,0 2,1 2)))",
1052 // Two interior rings touch each other in (10 5)
1055 "MULTIPOLYGON(((10 5,5 10,0 5,5 0),(10 5,5 4,4 6)),((10 5,10 0,20 0,20 10,10 10),(10 5,18 8,15 3)))",
1058 // Two polygons, one inside interior of other one, touching all at same point (0,0)
1061 "MULTIPOLYGON(((0 0,10 0,10 10,0 10),(0 0,1 9,9 9,9 1)),((0 0,8 2,8 8,2 8)))",
1066 "MULTIPOLYGON(((15 20,12 23,15 17,15 20)),((36 25,35 25,34 24,34 23,35 23,36 25)),((15 15,10 13,11 23,12 23,12 25,10 25,7 24,8 6,15 15)),((12 29,11 30,12 30,11 31,13 31,13 34,6 38,6 32,8 31,12 27,12 29)),((9 26,6 31,7 26,7 24,9 26)),((15 48,15 45,18 44,15 48)),((38 39,18 44,26 34,38 39)),((15 45,13 34,15 33,15 45)),((17 32,15 33,15 32,17 32)),((21 31,16 38,18 32,17 32,19 30,21 31)),((15 32,13 31,13 30,15 29,15 32)),((17 29,15 29,15 28,17 29)),((15 28,13 30,12 29,14 27,15 28)),((26 27,28 30,31 27,26 34,21 31,22 29,19 30,18 30,17 29,19 29,19 28,23 28,24 27,25 27,24 26,25 24,30 24,26 27)),((17 26,15 28,15 26,17 26)),((32 26,34 27,31 27,27 27,32 26)),((19 26,17 26,19 25,19 26)),((35 23,33 18,41 15,35 23)),((24 26,24 27,19 26,20 25,23 24,24 26)),((32 13,49 1,48 4,46 5,33 15,32 13)),((33 25,32 26,32 25,31 24,32 23,33 25)),((42 15,43 22,44 22,44 23,43 23,35 23,42 15)),((44 42,38 39,40 39,39 34,34 27,33 25,35 25,38 31,36 25,43 23,44 42)),((48 46,44 23,48 22,48 46)),((15 3,23 2,18 11,15 3)),((30 19,28 20,27 21,25 24,23 24,22 23,26 20,29 17,30 19)),((24 19,21 21,21 20,22 19,24 19)),((31 24,30 24,27 21,31 22,30 19,31 19,34 23,31 23,31 24)),((21 20,20 21,21 18,21 20)),((14 26,12 26,12 25,15 25,15 20,17 17,20 21,21 21,22 23,20 24,19 25,16 25,15 26,14 27,14 26),(17 24,20 22,20 21,17 24)),((23 18,22 19,22 17,23 18)),((28 13,31 10,32 13,30 15,28 13)),((18 17,17 17,16 16,18 17)),((16 16,15 17,15 15,16 16)),((30 17,29 17,29 16,30 15,30 17)),((33 18,31 19,30 17,33 15,33 18)),((42 13,47 7,48 4,48 22,44 22,43 14,42 13)),((42 15,41 15,42 14,43 14,42 15)),((24 2,49 1,27 11,23 13,25 6,27 10,24 2)),((29 16,24 19,23 18,28 13,29 16)),((17 13,16 15,15 15,15 11,17 13)),((20 14,23 13,22 17,20 15,21 17,21 18,18 17,19 15,17 13,18 11,20 14)),((5 3,15 3,15 11,8 5,8 6,5 3)))",
1069 // MySQL report 12.06.2015
1071 std::string wkt
= "MULTIPOLYGON("
1072 "((-40.314872143936725 -85.6567579487603,-53.1473643859603 -98.48925019078388,-41.29168745244485 -90.56754012573627,-40.314872143936725 -85.6567579487603)),"
1073 "((-186.91433298215597 -88.80210078879976,-192.54783347494038 -75.53420159905284,-192.7944062150986 -78.03769664281869,-186.91433298215597 -88.80210078879976)),"
1074 "((170.89089207158912 -44.35600339378721,191.8949969913326 -31.3460752560506,169.32805525181837 -43.07341636227523,170.89089207158912 -44.35600339378721)),"
1075 "((-2.6035109435630504 -13.058121512403435,26.839412016794036 43.97610638055074,26.974733141577826 43.72289807427111,26.97470368529088 43.722907009738066,-2.6035109435630504 -13.058121512403435))"
1079 CG mpoly
= from_wkt
<CG
>(wkt
);
1080 BOOST_CHECK_MESSAGE(! bg::is_valid(mpoly
, msg
), msg
);
1081 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
[0], msg
), msg
);
1082 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
[1], msg
), msg
);
1083 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
[2], msg
), msg
);
1084 BOOST_CHECK_MESSAGE(! bg::is_valid(mpoly
[3], msg
), msg
);
1086 // The last Polygon has wrong orientation, so correct it
1087 bg::reverse(mpoly
[3]);
1088 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
, msg
), msg
);
1089 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
[0], msg
), msg
);
1090 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
[1], msg
), msg
);
1091 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
[2], msg
), msg
);
1092 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
[3], msg
), msg
);
1095 // MySQL report 30.06.2015
1096 #ifdef BOOST_GEOMETRY_TEST_FAILURES
1098 std::string wkt
= "MULTIPOLYGON(((153.60036248974487 -86.4072234353084,134.8924761503673 -92.0821987136617,151.87887755950274 -92.0821987136617,153.60036248974487 -86.4072234353084)),((-162.3619975827558 -20.37135271519032,-170.42498886764488 -34.35970444494861,-168.21072335866987 -37.67358696575207,-162.3619975827558 -20.37135271519032)),((25.982352329146433 -1.793573272167862,25.81900562736861 -2.0992322130216032,24.216310496207715 -2.737558757030656,25.9822948153016 -1.7936204725604972,25.982352329146433 -1.793573272167862)))";
1101 CG mpoly
= from_wkt
<CG
>(wkt
);
1104 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
, msg
), msg
);
1105 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
[2], msg
), msg
);
1108 std::string wkt
= "MULTIPOLYGON(("
1109 "(176.37937452790632 33.81070321484654,165.31874654406195 30.429623478264823,164.22653456196667 40.57205841516082,169.96584109309163 43.760662373477935,169.96717084197783 43.76157019827226,169.96831223949295 43.76270579928938,169.96922682269394 43.76403090891733,169.96988377185227 43.76550087346144,169.97026094902066 43.767066157889666,169.97034564404004 43.768674015069664,169.97013500284808 43.77027026324768,169.96963612365553 43.77180111187144,169.9688658177501 43.773214974230235,169.9678500429876 43.77446420582984,169.96662302906125 43.775506709921984,169.96522612402566 43.77630735608547,169.96370640094523 43.77683916405498,169.96211507162087 43.777084212905194,169.96050576084875 43.777034244952155,163.96123663641703 43.03565247280777,161.69252016076334 64.10327452950632,161.69220086043657 64.10485513588213,161.69159759286657 64.10635057476519,161.6907307489143 64.1077102992874,161.68962962850455 64.10888834981994,161.68833145026844 64.10984490744038,161.6868800935278 64.11054763983988,161.68532461514377 64.11097279417753,161.68371759136113 64.11110599994278,161.68211334069463 64.1109427546887,161.68056608792585 64.11048857621772,161.67912813126807 64.10975881607614,127.83620579794024 42.81253476817878,91.03182023020634 47.701488147167275,136.39039242955064 83.14688773021612,136.39163693720113 83.14807413530517,136.39262607583518 83.14948053535137,136.39332183340986 83.15105288318968,136.39369747235173 83.15273075437446,136.3937385570669 83.15444966925705,136.39344350869288 83.15614357090246,136.39282366577314 83.15774736362043,136.39190284852347 83.15919941455623,136.39071644343446 83.1604439222067,136.38931004338824 83.16143306084076,136.38773769554993 83.16212881841544,136.38605982436513 83.16250445735731,136.38434090948257 83.16254554207251,136.38264700783714 83.16225049369845,136.38104321511918 83.1616306507787,136.37959116418338 83.16070983352907,91.00745759860087 47.70471273777429,-11.691678619246499 61.34689554994591,-33.79755445921219 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-69.27198717931759,-153.27409108860425 -69.27353651666519,-153.27311307626903 -69.27492346803459,-153.2718862680504 -69.27609610771653,-153.27045659410012 -69.27701053356093,-153.268877579607 -69.27763251061793,-153.2672083408813 -69.27793875285136,-153.26551137211467 -69.27791779493838,-153.26385020567662 -69.27757042151681,-107.17294666067983 -54.86628398298008,-106.1185414985015 -57.820838687964276,-161.49299710582102 -75.80397143603332,-161.49452500826962 -75.80463385281091,-161.49590016714416 -75.80557311845463,-161.4970730084222 -75.80675537274882,-161.49800125156384 -75.8081379958174,-161.49865143371088 -75.80967114455622,-161.4990001160121 -75.81129954946056,-161.4990347285859 -75.81296450707245,-161.49875402366052 -75.81460599622092,-161.49816812055553 -75.81616484176531,-161.49729814088408 -75.81758484783957,-161.4961754471254 -75.81881482369457,-161.49484051201802 -75.81981042910776,-161.49334145953082 -75.82053577283341,-161.49173233000997 -75.82096470647024,-161.49007113204223 -75.82108176710256,-100.22898834625123 -74.30605444452195,-100.22734583448315 -74.30585777708335,-100.22576946346221 -74.30535620216963,-100.22431530761126 -74.30456756172502,-100.22303509393429 -74.30351990914377,-100.22197436199151 -74.30225051135928,-100.22117084397333 -74.30080452319054,-100.22065312249669 -74.299233381102,-100.22043961386883 -74.29759297351377,-100.2205379129852 -74.2959416527474,-100.220944523165 -74.29433815932634,-106.0959583598649 -57.83192845601232,-92.94623645293606 -53.56150642974892,0.5168968571681063 -52.42819495175221,42.552398940491486 -80.15392826171708,42.553823957605765 -80.15468988561345,42.55536450400553 -80.15517718585528,42.55696829838054 -80.15537362500162,42.55858091298275 -80.15527253652432,42.56014762073331 -80.15487735104905,42.56161525248782 -80.15420147993068,42.56293400143029 -80.15326786011391,42.56405911336014 -80.15210817572546,42.564952405509295 -80.15076178281409,42.56558356234557 -80.14927437372997,42.56593116438665 -80.14769642646958,42.56598341511011 -80.14608149161101,42.565738541290365 -80.14448437497535,42.5652048531764 -80.1429592776891,42.56440046246796 -80.14155795676808,22.856549024752262 -52.14358082479128,22.85544171929926 -52.14229333196901,22.854107064023683 -52.14124335176489,22.852595089554377 -52.14047024353326,22.850962473473096 -52.14000298785936,22.849270415709668 -52.13985910019877,0.5220842171561202 -52.41060241052812,-8.41778896463083 -46.51405003506674,2.082503817262605 -45.5265842190059,82.16974873985578 -55.61946094607285,82.17129108418781 -55.61951844683097,82.17281962817947 -55.61930470483393,82.17428704023979 -55.6188263386343,82.17564788173712 -55.61809816091227,82.17686001401307 -55.61714271979877,82.17788590321227 -55.61598960066932,87.42894995498656 -48.54817950299798,90.86025690382013 -48.842320647346625,90.86187779422266 -48.842309257891365,90.86346890919046 -48.841999792907956,90.8649759064788 -48.84140282172809,90.86634731676145 -48.84053873304434,90.86753630149138 -48.839437038563695,90.86850225260417 -48.838135365077605,90.86921217942799 -48.836678169372995,90.86964183543259 -48.83511521987464,90.8697765463347 -48.83349989687612,90.8696117112771 -48.831887369412634,90.86915295996427 -48.83033271104191,90.86841596038786 -48.82888901888599,90.8674258837091 -48.827605600175325,88.83971158165615 -46.64932716144001,92.40269805720794 -41.853630224309256,126.8456757419591 -63.47440298320586,126.84713519537095 -63.47513926788542,126.84870592800237 -63.475591947011644,126.85033338098 -63.4757452969263,126.85196102526822 -63.47559399107129,126.8535323251863 -63.47514328500498,126.85499270215635 -63.47440883385204,126.85629143047208 -63.47341614852797,126.85738339923923 -63.472199709625954,126.85823067928733 -63.47080176974498,126.85880384062692 -63.46927088585993,126.8590829746903 -63.46766023271123,126.85905838584898 -63.466025755798086,126.85873092818818 -63.46442422813017,126.85811197584037 -63.46291127823613,126.85722302790863 -63.461539457925234,126.85609496170247 -63.46035641691782,97.38483049679773 -37.827161184361024,99.87187230030216 -36.330501626203954,171.77091226660818 -29.569125763297997,171.77242885150693 -29.568846999536735,171.7738731802143 -29.568306949932698,171.77520061136264 -29.567522306359965,171.7763701166585 -29.566517320612498,171.777345548987 -29.565323054828713,171.77809675964784 -29.56397642142174,171.77860053019282 -29.562519042189095,171.77884129006245 -29.56099596186458,171.77881159784133 -29.559454255873884,165.32871350322802 30.33706888582541,176.38762884933539 33.794883447557986,176.38920864287232 33.79555326659214,176.3906277904606 33.79651785214075,176.39183197552205 33.79774028557272,176.39277510897307 33.799173779364644,176.39342109324193 33.80076346785056,176.3937452038706 33.80244850715521,176.39373503582075 33.80416440393784,176.3933909782652 33.80584548381587,176.39272619969265 33.80742740499197,176.39176614389606 33.80884962087758,176.39054755613435 33.810057697458305,176.38911707674143 33.811005396706115,176.3875294560099 33.81165644629765,176.38584545867357 33.81198592790426,176.38412953819284 33.81198123091831,176.3824473698573 33.81164253511265,176.38239992262746 33.811606862577534,176.38239393445264 33.81162601425782,176.37937452790632 33.81070321484654),"
1110 "(31.940896057402718 -11.516674682385004,31.735090184010808 -11.433768531594366,34.28637780994461 -10.636047228893936,31.940896057402718 -11.516674682385004),"
1111 "(30.28283959927952 -10.848748755534567,-3.4172969820295727 2.7269017301769836,-13.569154489871252 9.18584944133385,-12.274858999116972 9.628378040430327,21.92730276845213 2.385649455001494,38.84218041215776 -8.23228345814529,30.28283959927952 -10.848748755534567),"
1112 "(-3.506381078742539 2.7627880702187406,-16.750651901766318 8.098065902036172,-13.590409501346059 9.178582205591375,-3.506381078742539 2.7627880702187406),"
1113 "(31.709407405831065 -11.423422566994818,30.308715440626955 -10.859172493055892,38.861820878026606 -8.244612297573639,39.53325186684806 -8.666087271928937,34.579078645088416 -10.526151567651766,31.709407405831065 -11.423422566994818),"
1114 "(31.96495469130859 -11.526366382128769,34.5846215239078 -10.542808015164859,39.883544951634676 -8.885975497800693,42.787058225913796 -10.708574699971027,37.770908594399415 -13.865217464656103,31.96495469130859 -11.526366382128769),"
1115 "(48.77877229519879 -5.194821637047497,38.86437999888012 -8.225507106217272,21.97711163867511 2.3751018026608763,48.385785409894076 -3.2172657509225715,49.85165664674822 -4.7920077720156655,48.77877229519879 -5.194821637047497),"
1116 "(52.035281286546805 -3.9721613339210506,48.39482899889053 -3.201249949645277,24.68775090776513 22.266150556743217,27.256969910296846 23.144584341056124,56.359252044298216 -2.1676440520591687,55.64595593834196 -2.6165186152963713,52.035281286546805 -3.9721613339210506),"
1117 "(21.0523618078348 -15.604823171775074,20.044774220126357 -15.088996753249816,23.066991360577624 -14.144024584675869,23.763240995171685 -14.58700084866993,21.0523618078348 -15.604823171775074),"
1118 "(49.86941225561311 -4.785336300805852,48.41562983381898 -3.2235856816187862,52.00474175020747 -3.9836250990190427,49.86941225561311 -4.785336300805852),"
1119 "(56.52330868895917 -2.287118069864981,56.3885724075448 -2.1699191303695926,106.52503218338835 29.380766897799347,127.67871416131852 24.428460971650335,56.52330868895917 -2.287118069864981),"
1120 "(23.783784057718577 -14.579279673235199,23.088894501216046 -14.137168734379976,31.708657690867156 -11.442032284077861,31.91659602271336 -11.525797467311321,23.783784057718577 -14.579279673235199),"
1121 "(39.55390791690693 -8.65834200124904,38.88402046337834 -8.237835944785246,48.51602741760274 -5.293470218105426,39.55390791690693 -8.65834200124904),(56.50463609360271 -2.2941260112243,55.727564043439656 -2.5858892138401472,56.373071028355454 -2.1796740901332754,56.50463609360271 -2.2941260112243),(21.03014957321752 -15.613158799416311,10.569260752810493 -19.54075189827794,-2.9464639789869125 -22.277697151591028,20.02087042017853 -15.096466397529603,21.03014957321752 -15.613158799416311),"
1122 "(52.47436796255111 -4.065143439019163,52.0671665340097 -3.978913434571549,55.572196226218196 -2.6629353253941694,54.16542157313718 -3.5482133364501145,52.47436796255111 -4.065143439019163),"
1123 "(18.686422690099135 -14.3935995357972,-39.497151641780675 15.393047282556093,-15.306368432221959 10.270345844048258,-13.609365014952653 9.190640067582622,-16.778642869828406 8.10704200262427,-16.78013527405983 8.106370378455987,-16.78147692731812 8.10543319333665,-16.78262111907359 8.104263075974965,-16.78352801354702 8.10290076476696,-16.784166036618227 8.101393689462272,-16.78451297509954 8.099794319866595,-16.784556750102364 8.098158339071315,-16.784295837571545 8.09654270481052,-16.783739321346324 8.095003666440478,-16.782906576900587 8.093594806581768,-16.78182659677314 8.092365175605535,-16.780536981173654 8.091357583912956,-16.779082628906927 8.090607111463319,-3.4253378182903305 2.711229144049957,21.910296697427533 -13.408098481443034,18.686422690099135 -14.3935995357972),"
1124 "(49.92455499029387 -4.844573589537546,49.88232772450034 -4.7992107915072495,52.03662700043225 -3.990377200254404,52.43970998904547 -4.075735073446003,49.92455499029387 -4.844573589537546),"
1125 "(56.98298842344176 -2.6869329990186017,56.53834480149721 -2.3001960061283953,127.709423817281 24.421271512588014,132.92279324817048 23.20076594437462,122.22155101611108 17.25548653666155,56.98298842344176 -2.6869329990186017),"
1126 "(21.93236247547395 -13.401346106262679,-3.336253671995941 2.6753427840349797,30.256146438987056 -10.856907501734277,21.93236247547395 -13.401346106262679),"
1127 "(56.963208077106145 -2.6929774535282007,54.22943361944536 -3.5286570687708547,55.65380423765296 -2.6323059828796573,56.51967220394539 -2.3072039455782374,56.963208077106145 -2.6929774535282007),"
1128 "(49.905901657492095 -4.850280677454471,49.047142136266274 -5.112798684502387,49.86457211628575 -4.805882263415661,49.905901657492095 -4.850280677454471),"
1129 "(18.66231459031522 -14.40096459040753,-15.242813984693981 -24.76524114901455,-41.871025640976086 15.895732417477603,-39.56283173369286 15.406955864944898,18.66231459031522 -14.40096459040753),"
1130 "(54.16010295741377 -4.422118945281966,57.68433962274301 -3.3201949186482835,60.493211425450355 -5.763234012884148,54.16010295741377 -4.422118945281966),"
1131 "(50.57482090609503 -5.543124178834603,51.410616916152094 -5.2818015712411075,50.73017482548689 -5.7100012259218005,50.57482090609503 -5.543124178834603),"
1132 "(57.7040033134621 -3.3140490007641716,120.5880728282652 16.347976841903872,68.42035360394682 -12.634786014512635,63.952222521971656 -8.748552923366702,69.34888739490755 -7.655727627757562,69.35052190979452 -7.65522664740267,69.35202819378684 -7.654418112452161,69.35334902179036 -7.65333273988165,69.35443421435205 -7.652011763978858,69.3552425440229 -7.650505369815648,69.35574330162603 -7.648870786671658,69.35591746292623 -7.647170113842091,69.35575841137785 -7.645467961429212,69.35527218949336 -7.643828995745994,69.35447726928288 -7.642315482584282,69.35340385048569 -7.640984921680917,69.35209271325485 -7.639887862250621,69.35059366888214 -7.639065982575512,69.348963667422 -7.638550506609389,60.528528122163166 -5.770712765907017,57.7040033134621 -3.3140490007641716),"
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1253 "(-54.58907517986818 35.28402900387246,-66.6742146811002 42.97298235051845,-66.98910868886206 47.26628926429717,-62.12011091968531 46.783833855102905,-54.58907517986818 35.28402900387246),"
1254 "(-54.55313781876444 35.261172150516714,-62.097702142309025 46.78161343185131,-46.30482922656958 45.2167417013382,-31.506387108397742 35.92737383993618,-30.76509132865387 20.12645029297113,-54.55313781876444 35.261172150516714),"
1255 "(-97.83416987317577 45.238498178710174,-65.64955249400556 28.76182418273821,-65.06752232404301 20.825807527637693,-82.6206997737451 24.54292980246981,-82.62234422414674 24.543118386846405,-82.62399482199257 24.54299466157833,-82.62559278256681 24.54256303304157,-82.62708119578785 24.541838873339582,-82.62840705301502 24.540847972838158,-82.62952313490874 24.539625621662307,-83.40757403122092 23.506493075556897,-90.83289438322406 30.035664942125123,-97.83416987317577 45.238498178710174),"
1256 "(-82.61888709171882 24.52458915191082,-65.06618612106601 20.80758831903435,-64.01341032562904 6.452926519952804,-83.39437198775232 23.49488435218103,-82.61888709171882 24.52458915191082),"
1257 "(-65.65105486819753 28.782309145932423,-97.84873506427972 45.26564377964443,-97.85028505214999 45.266259170730656,-97.8519235011197 45.266570062288324,-97.85359117767403 45.26656521490745,-97.85522779165703 45.26624480383146,-97.85677417589265 45.26562041262175,-97.85817442520765 45.26471461438658,-97.85937791752582 45.263560155713826,-97.86034114396688 45.26219877281023,-97.86102928178767 45.260679682646156,-97.86141745330046 45.259057803654485,-97.86149162525584 45.25739177030908,-97.86124911617533 45.255741813360295,-97.86069869329278 45.254167582361575,-90.86536170723733 30.064229436755205,-122.87031432291771 58.20657846684874,-122.87160397462488 58.20751906037725,-122.87304273757687 58.20821034821862,-122.87458295968815 58.20862943479625,-122.87617362852775 58.20876243988797,-122.87776206086001 58.208604958341404,-122.87929564752282 58.20816220597348,-122.88072359585243 58.20744884682156,-122.88199861194552 58.20648850746798,-122.88307846704171 58.20531299452339,-122.88392739614764 58.203961241186136,-122.88451728257994 58.20247801776782,-122.88482858919475 58.20091244889254,-128.50870223166575 4.921332760433136,-128.50874214078485 4.920024935850124,-128.5085870504444 4.918725726527491,-128.508240412044 4.917464045229747,-118.50876745117507 -23.102116039964123,-135.68859242632564 -45.914092066443295,-166.90162006241783 81.94670439205376,-32.82983975785978 64.13713127225718,-31.507388935807747 35.94872806687944,-46.297243998766895 45.232694686742164,-46.298438120776574 45.23332182175007,-46.29971427817714 45.23375845429706,-46.30104229243783 45.233994258910144,-62.110046067823596 46.80046435131626,-67.56717234515712 55.133453500144235,-67.56820100882734 55.134741527678834,-67.56945250271089 55.1358143403073,-67.5708826237989 55.13663404607767,-67.5724408599347 55.13717169282173,-67.5740721739131 55.13740829075129,-67.57571894740512 55.137335483181175,-67.57732301604885 55.136955841689016,-67.57882772382588 55.13628277528659,-67.5801799241631 55.13534005681094,-67.58133185708003 55.13416098326309,-67.58224283608062 55.13278719975146,-67.58288068520834 55.1312672285785,-67.58322287550715 55.12965475542346,-67.58325732074876 55.12800673315368,-67.00809756718309 47.28579861360277,-74.64384103040652 48.042403137098944,-74.64551355318005 48.04240861420995,-74.64715670691223 48.04209651127949,-74.6487107421129 48.04147817720973,-74.6501191498815 48.04057609629091,-74.65133071672265 48.039423070612024,-74.65230138680663 48.03806102728863,-74.6529958639579 48.03653949388014,-74.65338889511892 48.03491379743455,-74.65346618861936 48.03324305264807,-74.6532249338596 48.0315880122958,-74.65267390351174 48.03000885809735,-74.65183313452161 48.028563012347625,-74.65073319951154 48.02730304988773,-74.64941409507755 48.02627478634224,-66.69106576546662 42.962920784577285,-65.65105486819753 28.782309145932423),"
1258 "(-74.60894342391143 48.02131743628841,-67.00680717272054 47.268042957701205,-66.69266458534088 42.98472079049692,-74.60894342391143 48.02131743628841),"
1259 "(-138.56127670492663 -49.7577037198288,-134.94703094520807 -49.02582406883465,-133.72337212957453 -54.038411653780486,-141.85939298329575 -54.13705971460783,-138.56127670492663 -49.7577037198288),"
1260 "(-134.93399269617888 -49.00526523292734,-135.68321498734667 -45.93611109773349,-118.50171193441933 -23.121886343614484,-110.99462708067594 -44.15753153101153,-134.93399269617888 -49.00526523292734),"
1261 "(-138.54536289076012 -49.736572791872405,-135.69686656519858 -45.95423814792149,-134.95119672848287 -49.00875938278158,-138.54536289076012 -49.736572791872405),"
1262 "(88.82755353245742 -46.63627739859524,86.64413783102847 -44.29072778657896,91.56634116238342 -41.32862933986829,92.38779164183632 -41.84427969841862,88.82755353245742 -46.63627739859524),"
1263 "(96.17559112847069 -36.775403890830276,96.2533145203432 -36.670790012864686,99.8315395547437 -36.33429989598129,97.37090375596762 -37.815068768540016,96.17559112847069 -36.775403890830276),"
1264 "(92.39828457197696 -41.83015645846746,91.58318530508117 -41.31849282059788,93.74495703397014 -40.01757527428385,92.39828457197696 -41.83015645846746),"
1265 "(96.16509920779882 -36.78952577205994,97.35510564997305 -37.824575800671205,93.81196732309566 -39.95677632714469,96.16509920779882 -36.78952577205994),"
1266 "(88.81691795134695 -46.65059264343438,87.42069611419876 -48.52987476642635,80.5749329147718 -47.94307232519108,86.62877983973574 -44.29996996515029,88.81691795134695 -46.65059264343438),"
1267 "(69.32473564139825 -25.685312296376537,69.17686596344828 -25.526450792983923,79.43054197209301 -22.234338902371594,79.56777154519035 -22.35371429782551,69.32473564139825 -25.685312296376537),"
1268 "(79.58722163711042 -22.347388059401556,79.45006045094098 -22.22807217263994,91.24299727724733 -18.441755195353803,92.22218393874856 -18.237804190782946,79.58722163711042 -22.347388059401556),"
1269 "(67.58180682559251 -26.252208498722716,67.35665645137476 -26.110859094265415,69.15841818541341 -25.532373756550623,69.30634307855388 -25.691294568247503,67.58180682559251 -26.252208498722716),"
1270 "(10.713631867610786 -44.714913767695485,10.86035670084666 -44.70114019099129,10.566326319189315 -44.7967750242813,10.713631867610786 -44.714913767695485),"
1271 "(14.990356626143694 -42.338898459344726,17.469630118109404 -42.551441381415,10.93650885434335 -44.676371327096064,10.75178223878234 -44.69371860760433,14.990356626143694 -42.338898459344726),"
1272 "(113.19393813942808 -13.869104583916076,149.85225961536605 -6.232679296303189,99.86624158413852 -36.31341680350249,96.26738808398915 -36.65184732348474,113.19393813942808 -13.869104583916076),"
1273 "(113.18383917989723 -13.853283334263445,92.53313651295461 -18.155111782662388,115.54974201699517 -10.668833135736556,113.18383917989723 -13.853283334263445),"
1274 "(163.96311491920022 43.01821047323797,169.91789145903348 43.754090361605556,164.22449464723803 40.59100135183526,163.96311491920022 43.01821047323797),"
1275 "(92.37537042521268 -18.187979529764235,91.40187377110232 -18.3907452751927,115.58013059889898 -10.627916926612096,115.56781674564326 -10.64450497131272,92.37537042521268 -18.187979529764235),"
1276 "(-86.16139825386244 19.849866063211905,-118.49613390319635 -23.085326003412035,-128.4910459077906 4.921493651135869,-122.86916414947727 58.18220258298618,-90.8472856693717 30.0249784474685,-86.16139825386244 19.849866063211905),"
1277 "(-86.14941695432584 19.865785693545394,-90.81481832588861 29.996413910560918,-83.41817017513736 23.49245140750158,-86.14941695432584 19.865785693545394),"
1278 "(-106.11264211278916 -57.83736939023901,-100.24152662041178 -74.28881727173125,-161.4303237477923 -75.80205692190154,-106.11264211278916 -57.83736939023901),"
1279 "(-67.56328532753739 55.095514517777545,-62.132454845199874 46.802684774567844,-66.99039908239888 47.28404492010701,-67.56328532753739 55.095514517777545),"
1280 "(115.59662188220229 -10.635148141706566,115.6088128566935 -10.618708014427298,118.58211270640945 -9.664081031738045,115.59662188220229 -10.635148141706566)))";
1282 CG mpoly
= from_wkt
<CG
>(wkt
);
1285 BOOST_CHECK_MESSAGE(bg::is_valid(mpoly
, msg
), msg
);
1287 #endif // BOOST_GEOMETRY_TEST_FAILURES
1290 BOOST_AUTO_TEST_CASE( test_is_valid_multipolygon
)
1292 test_open_multipolygons
<point_type
, true>();
1293 test_open_multipolygons
<point_type
, false>();
1297 template <typename CoordinateType
, typename Geometry
>
1298 inline void check_one(Geometry
const& geometry
)
1300 bool const is_fp
= boost::is_floating_point
<CoordinateType
>::value
;
1302 bg::validity_failure_type failure
;
1303 bool validity
= bg::is_valid(geometry
, failure
);
1304 if (BOOST_GEOMETRY_CONDITION(is_fp
))
1306 BOOST_CHECK(! validity
);
1307 BOOST_CHECK(failure
== bg::failure_invalid_coordinate
);
1311 BOOST_CHECK(failure
== bg::no_failure
1312 || failure
!= bg::failure_invalid_coordinate
);
1316 template <typename P
, typename CoordinateType
>
1317 inline void test_with_invalid_coordinate(CoordinateType invalid_value
)
1319 typedef bg::model::segment
<P
> segment_t
;
1320 typedef bg::model::box
<P
> box_t
;
1321 typedef bg::model::linestring
<P
> linestring_t
;
1322 typedef bg::model::ring
<P
> ring_t
; // cw, closed
1323 typedef bg::model::polygon
<P
> polygon_t
; // cw, closed
1324 typedef bg::model::multi_point
<P
> multi_point_t
;
1325 typedef bg::model::multi_linestring
<linestring_t
> multi_linestring_t
;
1326 typedef bg::model::multi_polygon
<polygon_t
> multi_polygon_t
;
1328 typedef typename
bg::coordinate_type
<P
>::type coord_t
;
1330 std::string wkt_point
= "POINT(1 1)";
1331 std::string wkt_segment
= "LINESTRING(1 1,10 20)";
1332 std::string wkt_box
= "BOX(1 1,10 20)";
1333 std::string wkt_linestring
= "LINESTRING(1 1,2 3,4 -5)";
1334 std::string wkt_ring
= "POLYGON((1 1,2 2,2 1,1 1))";
1335 std::string wkt_polygon
= "POLYGON((1 1,1 200,200 200,200 1,1 1),(50 50,50 51,49 50,50 50))";
1336 std::string wkt_multipoint
= "MULTIPOINT(1 1,2 3,4 -5,-5 2)";
1337 std::string wkt_multilinestring
=
1338 "MULTILINESTRING((1 1,2 3,4 -5),(-4 -2,-8 9))";
1339 std::string wkt_multipolygon
= "MULTIPOLYGON(((1 1,1 200,200 200,200 1,1 1),(50 50,50 51,49 50,50 50)),((500 500,550 550,550 500,500 500)))";
1343 bg::read_wkt(wkt_point
, p
);
1344 BOOST_CHECK(bg::is_valid(p
));
1345 bg::set
<1>(p
, invalid_value
);
1346 check_one
<coord_t
>(p
);
1350 bg::read_wkt(wkt_segment
, s
);
1351 BOOST_CHECK(bg::is_valid(s
));
1352 bg::set
<1, 1>(s
, invalid_value
);
1353 check_one
<coord_t
>(s
);
1357 bg::read_wkt(wkt_box
, b
);
1358 BOOST_CHECK(bg::is_valid(b
));
1359 bg::set
<1, 0>(b
, invalid_value
);
1360 check_one
<coord_t
>(b
);
1364 bg::read_wkt(wkt_linestring
, ls
);
1365 BOOST_CHECK(bg::is_valid(ls
));
1366 bg::set
<1>(ls
[1], invalid_value
);
1367 check_one
<coord_t
>(ls
);
1371 bg::read_wkt(wkt_ring
, r
);
1372 BOOST_CHECK(bg::is_valid(r
));
1373 bg::set
<0>(r
[1], invalid_value
);
1374 check_one
<coord_t
>(r
);
1378 bg::read_wkt(wkt_polygon
, pgn
);
1379 BOOST_CHECK(bg::is_valid(pgn
));
1380 bg::set
<0>(bg::interior_rings(pgn
)[0][1], invalid_value
);
1381 check_one
<coord_t
>(pgn
);
1385 bg::read_wkt(wkt_multipoint
, mp
);
1386 BOOST_CHECK(bg::is_valid(mp
));
1387 bg::set
<0>(mp
[2], invalid_value
);
1388 check_one
<coord_t
>(mp
);
1391 multi_linestring_t mls
;
1392 bg::read_wkt(wkt_multilinestring
, mls
);
1393 BOOST_CHECK(bg::is_valid(mls
));
1394 bg::set
<0>(mls
[1][1], invalid_value
);
1395 check_one
<coord_t
>(mls
);
1398 multi_polygon_t mpgn
;
1399 bg::read_wkt(wkt_multipolygon
, mpgn
);
1400 BOOST_CHECK(bg::is_valid(mpgn
));
1401 bg::set
<0>(bg::exterior_ring(mpgn
[1])[1], invalid_value
);
1402 check_one
<coord_t
>(mpgn
);
1406 template <typename P
>
1407 inline void test_with_invalid_coordinate()
1409 typedef typename
bg::coordinate_type
<P
>::type coord_t
;
1411 coord_t
const q_nan
= std::numeric_limits
<coord_t
>::quiet_NaN();
1412 coord_t
const inf
= std::numeric_limits
<coord_t
>::infinity();
1414 test_with_invalid_coordinate
<P
, coord_t
>(q_nan
);
1415 test_with_invalid_coordinate
<P
, coord_t
>(inf
);
1418 BOOST_AUTO_TEST_CASE( test_geometries_with_invalid_coordinates
)
1420 typedef point_type fp_point_type
;
1421 typedef bg::model::point
<int, 2, bg::cs::cartesian
> int_point_type
;
1423 test_with_invalid_coordinate
<fp_point_type
>();
1424 test_with_invalid_coordinate
<int_point_type
>();
1427 BOOST_AUTO_TEST_CASE( test_with_NaN_coordinates
)
1429 #ifdef BOOST_GEOMETRY_TEST_DEBUG
1430 std::cout
<< std::endl
<< std::endl
;
1431 std::cout
<< "************************************" << std::endl
;
1432 std::cout
<< " is_valid: geometry with NaN coordinates" << std::endl
;
1433 std::cout
<< "************************************" << std::endl
;
1436 linestring_type ls1
, ls2
;
1437 bg::read_wkt("LINESTRING(1 1,1.115235e+308 1.738137e+308)", ls1
);
1438 bg::read_wkt("LINESTRING(-1 1,1.115235e+308 1.738137e+308)", ls2
);
1440 // the intersection of the two linestrings is a new linestring
1441 // (multilinestring with a single element) that has NaN coordinates
1442 multi_linestring_type mls
;
1443 bg::intersection(ls1
, ls2
, mls
);
1445 typedef validity_tester_linear
<true> tester_allow_spikes
;
1446 typedef validity_tester_linear
<false> tester_disallow_spikes
;
1450 tester_allow_spikes
, multi_linestring_type
1451 >::apply("mls-NaN", mls
, false);
1455 tester_disallow_spikes
, multi_linestring_type
1456 >::apply("mls-NaN", mls
, false);
1459 BOOST_AUTO_TEST_CASE( test_is_valid_variant
)
1461 #ifdef BOOST_GEOMETRY_TEST_DEBUG
1462 std::cout
<< std::endl
<< std::endl
;
1463 std::cout
<< "************************************" << std::endl
;
1464 std::cout
<< " is_valid: variant support" << std::endl
;
1465 std::cout
<< "************************************" << std::endl
;
1468 typedef bg::model::polygon
<point_type
> polygon_type
; // cw, closed
1470 typedef boost::variant
1472 linestring_type
, multi_linestring_type
, polygon_type
1474 typedef test_valid_variant
<variant_geometry
> test
;
1476 variant_geometry vg
;
1478 linestring_type valid_linestring
=
1479 from_wkt
<linestring_type
>("LINESTRING(0 0,1 0)");
1480 multi_linestring_type invalid_multi_linestring
=
1481 from_wkt
<multi_linestring_type
>("MULTILINESTRING((0 0,1 0),(0 0))");
1482 polygon_type valid_polygon
=
1483 from_wkt
<polygon_type
>("POLYGON((0 0,1 1,1 0,0 0))");
1484 polygon_type invalid_polygon
=
1485 from_wkt
<polygon_type
>("POLYGON((0 0,2 2,2 0,1 0))");
1487 vg
= valid_linestring
;
1488 test::apply("v01", vg
, true);
1489 vg
= invalid_multi_linestring
;
1490 test::apply("v02", vg
, false);
1492 test::apply("v03", vg
, true);
1493 vg
= invalid_polygon
;
1494 test::apply("v04", vg
, false);
1497 BOOST_AUTO_TEST_CASE( test_is_valid_geometry_collection
)
1499 #ifdef BOOST_GEOMETRY_TEST_DEBUG
1500 std::cout
<< std::endl
<< std::endl
;
1501 std::cout
<< "************************************" << std::endl
;
1502 std::cout
<< " is_valid: geometry collection" << std::endl
;
1503 std::cout
<< "************************************" << std::endl
;
1506 using polygon_type
= bg::model::polygon
<point_type
>; // cw, closed
1507 using variant_type
= boost::variant
1509 linestring_type
, multi_linestring_type
, polygon_type
1511 using gc_type
= bg::model::geometry_collection
<variant_type
>;
1513 typedef test_valid_variant
<gc_type
> test
;
1517 linestring_type valid_linestring
=
1518 from_wkt
<linestring_type
>("LINESTRING(0 0,1 0)");
1519 multi_linestring_type invalid_multi_linestring
=
1520 from_wkt
<multi_linestring_type
>("MULTILINESTRING((0 0,1 0),(0 0))");
1521 polygon_type valid_polygon
=
1522 from_wkt
<polygon_type
>("POLYGON((0 0,1 1,1 0,0 0))");
1523 polygon_type invalid_polygon
=
1524 from_wkt
<polygon_type
>("POLYGON((0 0,2 2,2 0,1 0))");
1526 gc
= {valid_linestring
, valid_polygon
};
1527 test::apply("gc01", gc
, true);
1528 gc
= {invalid_multi_linestring
, valid_polygon
};
1529 test::apply("gc02", gc
, false);
1530 gc
= {valid_linestring
, invalid_polygon
};
1531 test::apply("gc03", gc
, false);