KiCad PCB EDA Suite
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shape_poly_set.h
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1/*
2 * This program source code file is part of KiCad, a free EDA CAD application.
3 *
4 * Copyright (C) 2015-2019 CERN
5 * Copyright The KiCad Developers, see AUTHORS.txt for contributors.
6 *
7 * @author Tomasz Wlostowski <[email protected]>
8 * @author Alejandro García Montoro <[email protected]>
9 *
10 * This program is free software; you can redistribute it and/or
11 * modify it under the terms of the GNU General Public License
12 * as published by the Free Software Foundation; either version 2
13 * of the License, or (at your option) any later version.
14 *
15 * This program is distributed in the hope that it will be useful,
16 * but WITHOUT ANY WARRANTY; without even the implied warranty of
17 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
18 * GNU General Public License for more details.
19 *
20 * You should have received a copy of the GNU General Public License
21 * along with this program. If not, see <https://www.gnu.org/licenses/>.
22 */
23
24#ifndef __SHAPE_POLY_SET_H
25#define __SHAPE_POLY_SET_H
26
27#include <atomic>
28#include <cstdio>
29#include <deque> // for deque
30#include <functional>
31#include <iosfwd> // for string, stringstream
32#include <memory>
33#include <mutex>
34#include <set> // for set
35#include <stdexcept> // for out_of_range
36#include <stdlib.h> // for abs
37#include <vector>
38
39#include <clipper2/clipper.h>
40#include <core/mirror.h> // for FLIP_DIRECTION
42#include <geometry/seg.h> // for SEG
43#include <geometry/shape.h>
45#include <math/box2.h> // for BOX2I
46#include <math/vector2d.h> // for VECTOR2I
47#include <hash_128.h>
48
49
64class SHAPE_POLY_SET : public SHAPE
65{
66public:
68 typedef std::function<void( std::function<void()> )> TASK_SUBMITTER;
69
73 typedef std::vector<SHAPE_LINE_CHAIN> POLYGON;
74
76 {
77 public:
78 struct TRI : public SHAPE_LINE_CHAIN_BASE
79 {
80 TRI( int _a = 0, int _b = 0, int _c = 0, TRIANGULATED_POLYGON* aParent = nullptr ) :
82 a( _a ),
83 b( _b ),
84 c( _c ),
85 parent( aParent )
86 {
87 }
88
89 virtual void Rotate( const EDA_ANGLE& aAngle,
90 const VECTOR2I& aCenter = { 0, 0 } ) override {};
91
92 virtual void Move( const VECTOR2I& aVector ) override {};
93
94 virtual bool IsSolid() const override { return true; }
95
96 virtual bool IsClosed() const override { return true; }
97
98 virtual const BOX2I BBox( int aClearance = 0 ) const override;
99
100 virtual const VECTOR2I GetPoint( int aIndex ) const override
101 {
102 switch(aIndex)
103 {
104 case 0: return parent->m_vertices[a];
105 case 1: return parent->m_vertices[b];
106 case 2: return parent->m_vertices[c];
107 default: wxCHECK( false, VECTOR2I() );
108 }
109 }
110
111 virtual const SEG GetSegment( int aIndex ) const override
112 {
113 switch(aIndex)
114 {
115 case 0: return SEG( parent->m_vertices[a], parent->m_vertices[b] );
116 case 1: return SEG( parent->m_vertices[b], parent->m_vertices[c] );
117 case 2: return SEG( parent->m_vertices[c], parent->m_vertices[a] );
118 default: wxCHECK( false, SEG() );
119 }
120 }
121
122 virtual size_t GetPointCount() const override { return 3; }
123 virtual size_t GetSegmentCount() const override { return 3; }
124
125 double Area() const
126 {
127 VECTOR2I& aa = parent->m_vertices[a];
128 VECTOR2I& bb = parent->m_vertices[b];
129 VECTOR2I& cc = parent->m_vertices[c];
130
131 VECTOR2D ba = bb - aa;
132 VECTOR2D cb = cc - bb;
133
134 return std::abs( cb.Cross( ba ) * 0.5 );
135 }
136
137 int a;
138 int b;
139 int c;
141 };
142
143 TRIANGULATED_POLYGON( int aSourceOutline );
146
147 void Clear()
148 {
149 m_vertices.clear();
150 m_triangles.clear();
151 }
152
153 void GetTriangle( int index, VECTOR2I& a, VECTOR2I& b, VECTOR2I& c ) const
154 {
155 auto& tri = m_triangles[ index ];
156 a = m_vertices[ tri.a ];
157 b = m_vertices[ tri.b ];
158 c = m_vertices[ tri.c ];
159 }
160
162
163 // Move assignment operator.
165 {
166 if( this != &aOther )
167 {
168 m_sourceOutline = aOther.m_sourceOutline;
169 m_triangles = std::move( aOther.m_triangles );
170 m_vertices = std::move( aOther.m_vertices );
171
172 for( TRI& tri : m_triangles )
173 tri.parent = this;
174 }
175
176 return *this;
177 }
178
179 void AddTriangle( int a, int b, int c );
180
181 void AddVertex( const VECTOR2I& aP )
182 {
183 m_vertices.push_back( aP );
184 }
185
186 size_t GetTriangleCount() const { return m_triangles.size(); }
187
189 void SetSourceOutlineIndex( int aIndex ) { m_sourceOutline = aIndex; }
190
191 const std::deque<TRI>& Triangles() const { return m_triangles; }
192 void SetTriangles( const std::deque<TRI>& aTriangles )
193 {
194 m_triangles.resize( aTriangles.size() );
195
196 for( size_t ii = 0; ii < aTriangles.size(); ii++ )
197 {
198 m_triangles[ii] = aTriangles[ii];
199 m_triangles[ii].parent = this;
200 }
201 }
202
203 const std::deque<VECTOR2I>& Vertices() const { return m_vertices; }
204 void SetVertices( const std::deque<VECTOR2I>& aVertices )
205 {
206 m_vertices = aVertices;
207 }
208
209 size_t GetVertexCount() const
210 {
211 return m_vertices.size();
212 }
213
214 void Move( const VECTOR2I& aVec )
215 {
216 for( VECTOR2I& vertex : m_vertices )
217 vertex += aVec;
218 }
219
220 private:
222 std::deque<TRI> m_triangles;
223 std::deque<VECTOR2I> m_vertices;
224 };
225
232 {
236
238 m_polygon(-1),
239 m_contour(-1),
240 m_vertex(-1)
241 {
242 }
243 };
244
248 template <class T>
250 {
251 public:
252
257 bool IsEndContour() const
258 {
259 return m_currentVertex + 1 == m_poly->CPolygon( m_currentPolygon )[m_currentContour].PointCount();
260 }
261
265 bool IsLastPolygon() const
266 {
268 }
269
270 operator bool() const
271 {
273 return true;
274
275 if( m_currentPolygon != m_poly->OutlineCount() - 1 )
276 return false;
277
278 const auto& currentPolygon = m_poly->CPolygon( m_currentPolygon );
279
280 return m_currentContour < (int) currentPolygon.size() - 1
281 || m_currentVertex < currentPolygon[m_currentContour].PointCount();
282 }
283
288 void Advance()
289 {
290 // Advance vertex index
292
293 // Check whether the user wants to iterate through the vertices of the holes
294 // and behave accordingly
295 if( m_iterateHoles )
296 {
297 // If the last vertex of the contour was reached, advance the contour index
298 if( m_currentVertex >= m_poly->CPolygon( m_currentPolygon )[m_currentContour].PointCount() )
299 {
300 m_currentVertex = 0;
302
303 // If the last contour of the current polygon was reached, advance the
304 // outline index
305 int totalContours = m_poly->CPolygon( m_currentPolygon ).size();
306
307 if( m_currentContour >= totalContours )
308 {
311 }
312 }
313 }
314 else
315 {
316 // If the last vertex of the outline was reached, advance to the following polygon
317 if( m_currentVertex >= m_poly->CPolygon( m_currentPolygon )[0].PointCount() )
318 {
319 m_currentVertex = 0;
321 }
322 }
323 }
324
325 void operator++( int dummy )
326 {
327 Advance();
328 }
329
331 {
332 Advance();
333 }
334
335 const T& Get()
336 {
337 return m_poly->Polygon( m_currentPolygon )[m_currentContour].CPoint( m_currentVertex );
338 }
339
340 const T& operator*()
341 {
342 return Get();
343 }
344
345 const T* operator->()
346 {
347 return &Get();
348 }
349
354 {
356
357 index.m_polygon = m_currentPolygon;
358 index.m_contour = m_currentContour;
359 index.m_vertex = m_currentVertex;
360
361 return index;
362 }
363
364 private:
365 friend class SHAPE_POLY_SET;
366
373 };
374
378 template <class T>
380 {
381 public:
385 bool IsLastPolygon() const
386 {
388 }
389
390 operator bool() const
391 {
393 }
394
399 void Advance()
400 {
401 // Advance vertex index
403 int last;
404
405 // Check whether the user wants to iterate through the vertices of the holes
406 // and behave accordingly.
407 if( m_iterateHoles )
408 {
409 last = m_poly->CPolygon( m_currentPolygon )[m_currentContour].SegmentCount();
410
411 // If the last vertex of the contour was reached, advance the contour index.
412 if( m_currentSegment >= last )
413 {
416
417 // If the last contour of the current polygon was reached, advance the
418 // outline index.
419 int totalContours = m_poly->CPolygon( m_currentPolygon ).size();
420
421 if( m_currentContour >= totalContours )
422 {
425 }
426 }
427 }
428 else
429 {
430 last = m_poly->CPolygon( m_currentPolygon )[0].SegmentCount();
431 // If the last vertex of the outline was reached, advance to the following
432 // polygon
433 if( m_currentSegment >= last )
434 {
437 }
438 }
439 }
440
441 void operator++( int dummy )
442 {
443 Advance();
444 }
445
447 {
448 Advance();
449 }
450
452 {
453 return m_poly->Polygon( m_currentPolygon )[m_currentContour].Segment( m_currentSegment );
454 }
455
457 {
458 return Get();
459 }
460
465 {
467
468 index.m_polygon = m_currentPolygon;
469 index.m_contour = m_currentContour;
470 index.m_vertex = m_currentSegment;
471
472 return index;
473 }
474
481 {
482 // Check that both iterators point to the same contour of the same polygon of the
483 // same polygon set.
484 if( m_poly == aOther.m_poly && m_currentPolygon == aOther.m_currentPolygon &&
486 {
487 // Compute the total number of segments.
488 int numSeg;
489 numSeg = m_poly->CPolygon( m_currentPolygon )[m_currentContour].SegmentCount();
490
491 // Compute the difference of the segment indices. If it is exactly one, they
492 // are adjacent. The only missing case where they also are adjacent is when
493 // the segments are the first and last one, in which case the difference
494 // always equals the total number of segments minus one.
495 int indexDiff = std::abs( m_currentSegment - aOther.m_currentSegment );
496
497 return ( indexDiff == 1 ) || ( indexDiff == (numSeg - 1) );
498 }
499
500 return false;
501 }
502
503 private:
504 friend class SHAPE_POLY_SET;
505
512 };
513
514 // Iterator and const iterator types to visit polygon's points.
517
518 // Iterator and const iterator types to visit polygon's edges.
521
523
524 SHAPE_POLY_SET( const BOX2D& aRect );
525
531 SHAPE_POLY_SET( const SHAPE_LINE_CHAIN& aOutline );
532
538 SHAPE_POLY_SET( const POLYGON& aPolygon );
539
546 SHAPE_POLY_SET( const SHAPE_POLY_SET& aOther );
547
549
550 SHAPE_POLY_SET& operator=( const SHAPE_POLY_SET& aOther );
551
552 // Move assignment operator
554 {
555 if (this != &aOther)
556 {
557 SHAPE::operator=( aOther );
558
559 m_polys = std::move( aOther.m_polys );
560 m_triangulatedPolys = std::move( aOther.m_triangulatedPolys );
561
562 m_hash = aOther.m_hash;
563 m_hashValid.store( aOther.m_hashValid.load() );
564 m_triangulationValid.store( aOther.m_triangulationValid );
565 }
566
567 return *this;
568 }
569
576 virtual void CacheTriangulation( bool aSimplify = false,
577 const TASK_SUBMITTER& aSubmitter = {} )
578 {
579 cacheTriangulation( aSimplify, nullptr, aSubmitter );
580 }
581 bool IsTriangulationUpToDate() const;
582
583 HASH_128 GetHash() const;
584
585 virtual bool HasIndexableSubshapes() const override;
586
587 virtual size_t GetIndexableSubshapeCount() const override;
588
589 virtual void GetIndexableSubshapes( std::vector<const SHAPE*>& aSubshapes ) const override;
590
602 bool GetRelativeIndices( int aGlobalIdx, VERTEX_INDEX* aRelativeIndices ) const;
603
613 bool GetGlobalIndex( VERTEX_INDEX aRelativeIndices, int& aGlobalIdx ) const;
614
616 SHAPE* Clone() const override;
617
619
621 int NewOutline();
622
624 int NewHole( int aOutline = -1 );
625
627 int AddOutline( const SHAPE_LINE_CHAIN& aOutline );
628
630 int AddHole( const SHAPE_LINE_CHAIN& aHole, int aOutline = -1 );
631
633 int AddPolygon( const POLYGON& apolygon );
634
636 double Area();
637
639 int ArcCount() const;
640
642 void GetArcs( std::vector<SHAPE_ARC>& aArcBuffer ) const;
643
645 void ClearArcs();
646
648
660 int Append( int x, int y, int aOutline = -1, int aHole = -1, bool aAllowDuplication = false );
661
663 void Append( const SHAPE_POLY_SET& aSet );
664
666 void Append( const VECTOR2I& aP, int aOutline = -1, int aHole = -1 );
667
677 int Append( const SHAPE_ARC& aArc, int aOutline = -1, int aHole = -1,
678 std::optional<int> aMaxError = {} );
679
687 void InsertVertex( int aGlobalIndex, const VECTOR2I& aNewVertex );
688
690 const VECTOR2I& CVertex( int aIndex, int aOutline, int aHole ) const;
691
693 const VECTOR2I& CVertex( int aGlobalIndex ) const;
694
696 const VECTOR2I& CVertex( VERTEX_INDEX aIndex ) const;
697
711 bool GetNeighbourIndexes( int aGlobalIndex, int* aPrevious, int* aNext ) const;
712
719 bool IsPolygonSelfIntersecting( int aPolygonIndex ) const;
720
726 bool IsSelfIntersecting() const;
727
729 unsigned int TriangulatedPolyCount() const { return m_triangulatedPolys.size(); }
730
732 int OutlineCount() const { return m_polys.size(); }
733
735 int VertexCount( int aOutline = -1, int aHole = -1 ) const;
736
739 int FullPointCount() const;
740
742 int HoleCount( int aOutline ) const
743 {
744 if( aOutline < 0 || aOutline >= (int) m_polys.size() || m_polys[aOutline].size() < 2 )
745 return 0;
746
747 // the first polygon in m_polys[aOutline] is the main contour,
748 // only others are holes:
749 return m_polys[aOutline].size() - 1;
750 }
751
754 {
755 return m_polys[aIndex][0];
756 }
757
758 const SHAPE_LINE_CHAIN& Outline( int aIndex ) const
759 {
760 return m_polys[aIndex][0];
761 }
762
772 SHAPE_POLY_SET Subset( int aFirstPolygon, int aLastPolygon );
773
774 SHAPE_POLY_SET UnitSet( int aPolygonIndex )
775 {
776 return Subset( aPolygonIndex, aPolygonIndex + 1 );
777 }
778
780 SHAPE_LINE_CHAIN& Hole( int aOutline, int aHole )
781 {
782 return m_polys[aOutline][aHole + 1];
783 }
784
786 POLYGON& Polygon( int aIndex )
787 {
788 return m_polys[aIndex];
789 }
790
791 const POLYGON& Polygon( int aIndex ) const
792 {
793 return m_polys[aIndex];
794 }
795
796 const TRIANGULATED_POLYGON* TriangulatedPolygon( int aIndex ) const
797 {
798 return m_triangulatedPolys[aIndex].get();
799 }
800
801 const SHAPE_LINE_CHAIN& COutline( int aIndex ) const
802 {
803 return m_polys[aIndex][0];
804 }
805
806 const SHAPE_LINE_CHAIN& CHole( int aOutline, int aHole ) const
807 {
808 return m_polys[aOutline][aHole + 1];
809 }
810
811 const POLYGON& CPolygon( int aIndex ) const
812 {
813 return m_polys[aIndex];
814 }
815
816 const std::vector<POLYGON>& CPolygons() const { return m_polys; }
817
828 ITERATOR Iterate( int aFirst, int aLast, bool aIterateHoles = false )
829 {
830 ITERATOR iter;
831
832 iter.m_poly = this;
833 iter.m_currentPolygon = aFirst;
834 iter.m_lastPolygon = aLast < 0 ? OutlineCount() - 1 : aLast;
835 iter.m_currentContour = 0;
836 iter.m_currentVertex = 0;
837 iter.m_iterateHoles = aIterateHoles;
838
839 return iter;
840 }
841
847 ITERATOR Iterate( int aOutline )
848 {
849 return Iterate( aOutline, aOutline );
850 }
851
858 {
859 return Iterate( aOutline, aOutline, true );
860 }
861
867 {
868 return Iterate( 0, OutlineCount() - 1 );
869 }
870
876 {
877 return Iterate( 0, OutlineCount() - 1, true );
878 }
879
880
881 CONST_ITERATOR CIterate( int aFirst, int aLast, bool aIterateHoles = false ) const
882 {
883 CONST_ITERATOR iter;
884
885 iter.m_poly = const_cast<SHAPE_POLY_SET*>( this );
886 iter.m_currentPolygon = aFirst;
887 iter.m_lastPolygon = aLast < 0 ? OutlineCount() - 1 : aLast;
888 iter.m_currentContour = 0;
889 iter.m_currentVertex = 0;
890 iter.m_iterateHoles = aIterateHoles;
891
892 return iter;
893 }
894
895 CONST_ITERATOR CIterate( int aOutline ) const
896 {
897 return CIterate( aOutline, aOutline );
898 }
899
900 CONST_ITERATOR CIterateWithHoles( int aOutline ) const
901 {
902 return CIterate( aOutline, aOutline, true );
903 }
904
906 {
907 return CIterate( 0, OutlineCount() - 1 );
908 }
909
911 {
912 return CIterate( 0, OutlineCount() - 1, true );
913 }
914
916 {
917 // Build iterator
918 ITERATOR iter = IterateWithHoles();
919
920 // Get the relative indices of the globally indexed vertex
921 VERTEX_INDEX indices;
922
923 if( !GetRelativeIndices( aGlobalIdx, &indices ) )
924 throw( std::out_of_range( "aGlobalIndex-th vertex does not exist" ) );
925
926 // Adjust where the iterator is pointing
927 iter.m_currentPolygon = indices.m_polygon;
928 iter.m_currentContour = indices.m_contour;
929 iter.m_currentVertex = indices.m_vertex;
930
931 return iter;
932 }
933
936 SEGMENT_ITERATOR IterateSegments( int aFirst, int aLast, bool aIterateHoles = false )
937 {
938 SEGMENT_ITERATOR iter;
939
940 iter.m_poly = this;
941 iter.m_currentPolygon = aFirst;
942 iter.m_lastPolygon = aLast < 0 ? OutlineCount() - 1 : aLast;
943 iter.m_currentContour = 0;
944 iter.m_currentSegment = 0;
945 iter.m_iterateHoles = aIterateHoles;
946
947 return iter;
948 }
949
953 bool aIterateHoles = false ) const
954 {
956
957 iter.m_poly = const_cast<SHAPE_POLY_SET*>( this );
958 iter.m_currentPolygon = aFirst;
959 iter.m_lastPolygon = aLast < 0 ? OutlineCount() - 1 : aLast;
960 iter.m_currentContour = 0;
961 iter.m_currentSegment = 0;
962 iter.m_iterateHoles = aIterateHoles;
963
964 return iter;
965 }
966
969 {
970 return IterateSegments( aPolygonIdx, aPolygonIdx );
971 }
972
975 {
976 return CIterateSegments( aPolygonIdx, aPolygonIdx );
977 }
978
981 {
982 return IterateSegments( 0, OutlineCount() - 1 );
983 }
984
987 {
988 return CIterateSegments( 0, OutlineCount() - 1 );
989 }
990
993 {
994 return IterateSegments( 0, OutlineCount() - 1, true );
995 }
996
999 {
1000 return IterateSegments( aOutline, aOutline, true );
1001 }
1002
1005 {
1006 return CIterateSegments( 0, OutlineCount() - 1, true );
1007 }
1008
1011 {
1012 return CIterateSegments( aOutline, aOutline, true );
1013 }
1014
1015
1017 void BooleanAdd( const SHAPE_POLY_SET& b );
1018
1020 void BooleanSubtract( const SHAPE_POLY_SET& b );
1021
1023 void BooleanIntersection( const SHAPE_POLY_SET& b );
1024
1026 void BooleanXor( const SHAPE_POLY_SET& b );
1027
1029 void BooleanAdd( const SHAPE_POLY_SET& a, const SHAPE_POLY_SET& b );
1030
1032 void BooleanSubtract( const SHAPE_POLY_SET& a, const SHAPE_POLY_SET& b );
1033
1035 void BooleanIntersection( const SHAPE_POLY_SET& a, const SHAPE_POLY_SET& b );
1036
1038 void BooleanXor( const SHAPE_POLY_SET& a, const SHAPE_POLY_SET& b );
1039
1045
1061 void Inflate( int aAmount, CORNER_STRATEGY aCornerStrategy, int aMaxError,
1062 bool aSimplify = false );
1063
1064 void Deflate( int aAmount, CORNER_STRATEGY aCornerStrategy, int aMaxError )
1065 {
1066 Inflate( -aAmount, aCornerStrategy, aMaxError );
1067 }
1068
1082 void OffsetLineChain( const SHAPE_LINE_CHAIN& aLine, int aAmount,
1083 CORNER_STRATEGY aCornerStrategy, int aMaxError, bool aSimplify );
1084
1091 void InflateWithLinkedHoles( int aFactor, CORNER_STRATEGY aCornerStrategy, int aMaxError );
1092
1100 void Fracture( bool aSimplify = true );
1101
1104 void Unfracture();
1105
1107 bool HasHoles() const;
1108
1110 bool HasTouchingHoles() const;
1111
1112
1114 void Simplify();
1115
1122 void SimplifyOutlines( int aMaxError = 0 );
1123
1133
1135 const std::string Format( bool aCplusPlus = true ) const override;
1136
1138 bool Parse( std::stringstream& aStream ) override;
1139
1141 void Move( const VECTOR2I& aVector ) override;
1142
1149 void Mirror( const VECTOR2I& aRef, FLIP_DIRECTION aFlipDirection );
1150
1157 void Rotate( const EDA_ANGLE& aAngle, const VECTOR2I& aCenter = { 0, 0 } ) override;
1158
1160 bool IsSolid() const override
1161 {
1162 return true;
1163 }
1164
1165 const BOX2I BBox( int aClearance = 0 ) const override;
1166
1173 bool PointOnEdge( const VECTOR2I& aP, int aAccuracy = 0 ) const;
1174
1187 bool Collide( const SHAPE* aShape, int aClearance = 0, int* aActual = nullptr,
1188 VECTOR2I* aLocation = nullptr ) const override;
1189
1208 bool Collide( const VECTOR2I& aP, int aClearance = 0, int* aActual = nullptr,
1209 VECTOR2I* aLocation = nullptr ) const override;
1210
1229 bool Collide( const SEG& aSeg, int aClearance = 0, int* aActual = nullptr,
1230 VECTOR2I* aLocation = nullptr ) const override;
1231
1242 bool CollideVertex( const VECTOR2I& aPoint, VERTEX_INDEX* aClosestVertex = nullptr,
1243 int aClearance = 0 ) const;
1244
1255 bool CollideEdge( const VECTOR2I& aPoint, VERTEX_INDEX* aClosestVertex = nullptr,
1256 int aClearance = 0 ) const;
1257
1258 bool PointInside( const VECTOR2I& aPt, int aAccuracy = 0,
1259 bool aUseBBoxCache = false ) const override;
1260
1267 void BuildBBoxCaches() const;
1268
1269 const BOX2I BBoxFromCaches() const;
1270
1281 bool Contains( const VECTOR2I& aP, int aSubpolyIndex = -1, int aAccuracy = 0,
1282 bool aUseBBoxCaches = false ) const;
1283
1285 bool IsEmpty() const
1286 {
1287 return m_polys.empty();
1288 }
1289
1295 void RemoveVertex( int aGlobalIndex );
1296
1302 void RemoveVertex( VERTEX_INDEX aRelativeIndices );
1303
1305 void RemoveAllContours();
1306
1315 void RemoveContour( int aContourIdx, int aPolygonIdx = -1 );
1316
1317
1323 void RemoveOutline( int aOutlineIdx );
1324
1330 int RemoveNullSegments();
1331
1338 void SetVertex( const VERTEX_INDEX& aIndex, const VECTOR2I& aPos );
1339
1348 void SetVertex( int aGlobalIndex, const VECTOR2I& aPos );
1349
1351 int TotalVertices() const;
1352
1354 void DeletePolygon( int aIdx );
1355
1358 void DeletePolygonAndTriangulationData( int aIdx, bool aUpdateHash = true );
1359
1361
1369 POLYGON ChamferPolygon( unsigned int aDistance, int aIndex );
1370
1379 POLYGON FilletPolygon( unsigned int aRadius, int aErrorMax, int aIndex );
1380
1387 SHAPE_POLY_SET Chamfer( int aDistance );
1388
1396 SHAPE_POLY_SET Fillet( int aRadius, int aErrorMax );
1397
1408 SEG::ecoord SquaredDistanceToPolygon( VECTOR2I aPoint, int aIndex,
1409 VECTOR2I* aNearest ) const;
1410
1423 SEG::ecoord SquaredDistanceToPolygon( const SEG& aSegment, int aIndex,
1424 VECTOR2I* aNearest) const;
1425
1436 SEG::ecoord SquaredDistance( const VECTOR2I& aPoint, bool aOutlineOnly,
1437 VECTOR2I* aNearest ) const;
1438
1439 SEG::ecoord SquaredDistance( const VECTOR2I& aPoint, bool aOutlineOnly = false ) const override
1440 {
1441 return SquaredDistance( aPoint, aOutlineOnly, nullptr );
1442 }
1443
1455 SEG::ecoord SquaredDistanceToSeg( const SEG& aSegment, VECTOR2I* aNearest = nullptr ) const;
1456
1463 bool IsVertexInHole( int aGlobalIdx );
1464
1472 void BuildPolysetFromOrientedPaths( const std::vector<SHAPE_LINE_CHAIN>& aPaths,
1473 bool aEvenOdd = false );
1474
1475 void TransformToPolygon( SHAPE_POLY_SET& aBuffer, int aError,
1476 ERROR_LOC aErrorLoc ) const override
1477 {
1478 aBuffer.Append( *this );
1479 }
1480
1481 const std::vector<SEG> GenerateHatchLines( const std::vector<double>& aSlopes, int aSpacing,
1482 int aLineLength ) const;
1483
1484 void Scale( double aScaleFactorX, double aScaleFactorY, const VECTOR2I& aCenter );
1485
1486protected:
1487 void cacheTriangulation( bool aSimplify,
1488 std::vector<std::unique_ptr<TRIANGULATED_POLYGON>>* aHintData,
1489 const TASK_SUBMITTER& aSubmitter = {} );
1490
1491private:
1493
1495
1496 void fractureSingle( POLYGON& paths );
1497 void unfractureSingle ( POLYGON& path );
1498 void importTree( Clipper2Lib::PolyTree64& tree,
1499 const std::vector<CLIPPER_Z_VALUE>& aZValueBuffer,
1500 const std::vector<SHAPE_ARC>& aArcBuffe );
1501 void importPaths( Clipper2Lib::Paths64& paths,
1502 const std::vector<CLIPPER_Z_VALUE>& aZValueBuffer,
1503 const std::vector<SHAPE_ARC>& aArcBuffe );
1504 void importPolyPath( const std::unique_ptr<Clipper2Lib::PolyPath64>& aPolyPath,
1505 const std::vector<CLIPPER_Z_VALUE>& aZValueBuffer,
1506 const std::vector<SHAPE_ARC>& aArcBuffer );
1507
1508 void inflate2( int aAmount, int aCircleSegCount, CORNER_STRATEGY aCornerStrategy, bool aSimplify = false );
1509
1510 void inflateLine2( const SHAPE_LINE_CHAIN& aLine, int aAmount, int aCircleSegCount,
1511 CORNER_STRATEGY aCornerStrategy, bool aSimplify = false );
1512
1514
1524
1532 bool isExteriorWaist( const SEG& aSegA, const SEG& aSegB ) const;
1533
1541 void booleanOp( Clipper2Lib::ClipType aType, const SHAPE_POLY_SET& aOtherShape );
1542
1543 void booleanOp( Clipper2Lib::ClipType aType, const SHAPE_POLY_SET& aShape,
1544 const SHAPE_POLY_SET& aOtherShape );
1545
1560 bool containsSingle( const VECTOR2I& aP, int aSubpolyIndex, int aAccuracy,
1561 bool aUseBBoxCaches = false ) const;
1562
1573
1587 POLYGON chamferFilletPolygon( CORNER_MODE aMode, unsigned int aDistance,
1588 int aIndex, int aErrorMax );
1589
1591 bool hasTouchingHoles( const POLYGON& aPoly ) const;
1592
1593 HASH_128 checksum() const;
1594
1595protected:
1596 std::vector<POLYGON> m_polys;
1597 std::vector<std::unique_ptr<TRIANGULATED_POLYGON>> m_triangulatedPolys;
1598
1599 std::atomic<bool> m_triangulationValid = false;
1601
1602private:
1604 std::atomic<bool> m_hashValid = false;
1605
1607 std::atomic<bool> m_failedHashValid = false;
1608};
1609
1610#endif // __SHAPE_POLY_SET_H
int index
ERROR_LOC
When approximating an arc or circle, should the error be placed on the outside or inside of the curve...
BOX2< VECTOR2I > BOX2I
Definition box2.h:918
BOX2< VECTOR2D > BOX2D
Definition box2.h:919
Definition seg.h:38
VECTOR2I::extended_type ecoord
Definition seg.h:40
SHAPE_LINE_CHAIN_BASE(SHAPE_TYPE aType)
Definition shape.h:306
Represent a polyline containing arcs as well as line segments: A chain of connected line and/or arc s...
Base class for iterating over all vertices in a given SHAPE_POLY_SET.
void Advance()
Advance the indices of the current vertex/outline/contour, checking whether the vertices in the holes...
Base class for iterating over all segments in a given SHAPE_POLY_SET.
bool IsAdjacent(SEGMENT_ITERATOR_TEMPLATE< T > aOther) const
void Advance()
Advance the indices of the current vertex/outline/contour, checking whether the vertices in the holes...
void AddVertex(const VECTOR2I &aP)
void GetTriangle(int index, VECTOR2I &a, VECTOR2I &b, VECTOR2I &c) const
const std::deque< VECTOR2I > & Vertices() const
void SetVertices(const std::deque< VECTOR2I > &aVertices)
const std::deque< TRI > & Triangles() const
TRIANGULATED_POLYGON & operator=(TRIANGULATED_POLYGON &&aOther) noexcept
void AddTriangle(int a, int b, int c)
void SetTriangles(const std::deque< TRI > &aTriangles)
TRIANGULATED_POLYGON & operator=(const TRIANGULATED_POLYGON &aOther)
void Move(const VECTOR2I &aVec)
Represent a set of closed polygons.
std::mutex m_triangulationMutex
virtual bool HasIndexableSubshapes() const override
void Rotate(const EDA_ANGLE &aAngle, const VECTOR2I &aCenter={ 0, 0 }) override
Rotate all vertices by a given angle.
void RemoveAllContours()
Remove all outlines & holes (clears) the polygon set.
SHAPE_POLY_SET Chamfer(int aDistance)
Return a chamfered version of the polygon set.
void RemoveOutline(int aOutlineIdx)
Delete the aOutlineIdx-th outline of the set including its contours and holes.
void Scale(double aScaleFactorX, double aScaleFactorY, const VECTOR2I &aCenter)
bool CollideEdge(const VECTOR2I &aPoint, VERTEX_INDEX *aClosestVertex=nullptr, int aClearance=0) const
Check whether aPoint collides with any edge of any of the contours of the polygon.
HASH_128 GetHash() const
virtual void GetIndexableSubshapes(std::vector< const SHAPE * > &aSubshapes) const override
void BooleanXor(const SHAPE_POLY_SET &b)
Perform boolean polyset exclusive or.
ITERATOR_TEMPLATE< VECTOR2I > ITERATOR
void fractureSingle(POLYGON &paths)
bool HasHoles() const
Return true if the polygon set has any holes.
CONST_ITERATOR CIterateWithHoles() const
void BooleanAdd(const SHAPE_POLY_SET &b)
Perform boolean polyset union.
ITERATOR IterateWithHoles(int aOutline)
ITERATOR IterateWithHoles()
void ClearArcs()
Removes all arc references from all the outlines and holes in the polyset.
bool IsTriangulationUpToDate() const
void importPaths(Clipper2Lib::Paths64 &paths, const std::vector< CLIPPER_Z_VALUE > &aZValueBuffer, const std::vector< SHAPE_ARC > &aArcBuffe)
void InsertVertex(int aGlobalIndex, const VECTOR2I &aNewVertex)
Adds a vertex in the globally indexed position aGlobalIndex.
std::atomic< bool > m_failedHashValid
CONST_ITERATOR CIterate() const
CORNER_MODE
Operation ChamferPolygon and FilletPolygon are computed under the private chamferFillet method; this ...
int AddOutline(const SHAPE_LINE_CHAIN &aOutline)
Adds a new outline to the set and returns its index.
int VertexCount(int aOutline=-1, int aHole=-1) const
Return the number of vertices in a given outline/hole.
void DeletePolygon(int aIdx)
Delete aIdx-th polygon from the set.
void cacheTriangulation(bool aSimplify, std::vector< std::unique_ptr< TRIANGULATED_POLYGON > > *aHintData, const TASK_SUBMITTER &aSubmitter={})
double Area()
Return the area of this poly set.
void SetVertex(const VERTEX_INDEX &aIndex, const VECTOR2I &aPos)
Accessor function to set the position of a specific point.
bool IsEmpty() const
Return true if the set is empty (no polygons at all)
CONST_ITERATOR CIterate(int aFirst, int aLast, bool aIterateHoles=false) const
bool Collide(const SHAPE *aShape, int aClearance=0, int *aActual=nullptr, VECTOR2I *aLocation=nullptr) const override
Check if the boundary of shape (this) lies closer to the shape aShape than aClearance,...
void BuildPolysetFromOrientedPaths(const std::vector< SHAPE_LINE_CHAIN > &aPaths, bool aEvenOdd=false)
Build a SHAPE_POLY_SET from a bunch of outlines in provided in random order.
ITERATOR Iterate(int aOutline)
bool Parse(std::stringstream &aStream) override
int TotalVertices() const
Return total number of vertices stored in the set.
CONST_ITERATOR CIterate(int aOutline) const
POLYGON & Polygon(int aIndex)
Return the aIndex-th subpolygon in the set.
int FullPointCount() const
Return the number of points in the shape poly set.
void GetArcs(std::vector< SHAPE_ARC > &aArcBuffer) const
Appends all the arcs in this polyset to aArcBuffer.
bool IsVertexInHole(int aGlobalIdx)
Check whether the aGlobalIndex-th vertex belongs to a hole.
int NormalizeAreaOutlines()
Convert a self-intersecting polygon to one (or more) non self-intersecting polygon(s).
void RemoveVertex(int aGlobalIndex)
Delete the aGlobalIndex-th vertex.
void unfractureSingle(POLYGON &path)
void inflateLine2(const SHAPE_LINE_CHAIN &aLine, int aAmount, int aCircleSegCount, CORNER_STRATEGY aCornerStrategy, bool aSimplify=false)
SEGMENT_ITERATOR IterateSegments(int aPolygonIdx)
Return an iterator object, for iterating aPolygonIdx-th polygon edges.
SEGMENT_ITERATOR IterateSegmentsWithHoles(int aOutline)
Return an iterator object, for the aOutline-th outline in the set (with holes).
bool GetRelativeIndices(int aGlobalIdx, VERTEX_INDEX *aRelativeIndices) const
Convert a global vertex index —i.e., a number that globally identifies a vertex in a concatenated lis...
bool IsPolygonSelfIntersecting(int aPolygonIndex) const
Check whether the aPolygonIndex-th polygon in the set is self intersecting.
SHAPE_POLY_SET Subset(int aFirstPolygon, int aLastPolygon)
Return a subset of the polygons in this set, the ones between aFirstPolygon and aLastPolygon.
SHAPE_POLY_SET UnitSet(int aPolygonIndex)
const POLYGON & Polygon(int aIndex) const
int RemoveNullSegments()
Look for null segments; ie, segments whose ends are exactly the same and deletes them.
HASH_128 checksum() const
void Inflate(int aAmount, CORNER_STRATEGY aCornerStrategy, int aMaxError, bool aSimplify=false)
Perform outline inflation/deflation.
int HoleCount(int aOutline) const
Returns the number of holes in a given outline.
int Append(int x, int y, int aOutline=-1, int aHole=-1, bool aAllowDuplication=false)
Appends a vertex at the end of the given outline/hole (default: the last outline)
virtual void CacheTriangulation(bool aSimplify=false, const TASK_SUBMITTER &aSubmitter={})
Build a polygon triangulation, needed to draw a polygon on OpenGL and in some other calculations.
int AddPolygon(const POLYGON &apolygon)
Adds a polygon to the set.
const std::vector< SEG > GenerateHatchLines(const std::vector< double > &aSlopes, int aSpacing, int aLineLength) const
const std::string Format(bool aCplusPlus=true) const override
void Simplify()
Simplify the polyset (merges overlapping polys, eliminates degeneracy/self-intersections)
std::vector< SHAPE_LINE_CHAIN > POLYGON
represents a single polygon outline with holes.
std::vector< std::unique_ptr< TRIANGULATED_POLYGON > > m_triangulatedPolys
SEGMENT_ITERATOR IterateSegments()
Return an iterator object, for all outlines in the set (no holes).
ITERATOR Iterate()
const SHAPE_LINE_CHAIN & Outline(int aIndex) const
CONST_SEGMENT_ITERATOR CIterateSegments() const
Returns an iterator object, for all outlines in the set (no holes)
ITERATOR_TEMPLATE< const VECTOR2I > CONST_ITERATOR
void inflate2(int aAmount, int aCircleSegCount, CORNER_STRATEGY aCornerStrategy, bool aSimplify=false)
int AddHole(const SHAPE_LINE_CHAIN &aHole, int aOutline=-1)
Adds a new hole to the given outline (default: last) and returns its index.
SEG::ecoord SquaredDistance(const VECTOR2I &aPoint, bool aOutlineOnly, VECTOR2I *aNearest) const
Compute the minimum distance squared between aPoint and all the polygons in the set.
void RemoveContour(int aContourIdx, int aPolygonIdx=-1)
Delete the aContourIdx-th contour of the aPolygonIdx-th polygon in the set.
void Unfracture()
Convert a single outline slitted ("fractured") polygon into a set ouf outlines with holes.
int ArcCount() const
Count the number of arc shapes present.
bool GetGlobalIndex(VERTEX_INDEX aRelativeIndices, int &aGlobalIdx) const
Compute the global index of a vertex from the relative indices of polygon, contour and vertex.
bool GetNeighbourIndexes(int aGlobalIndex, int *aPrevious, int *aNext) const
Return the global indexes of the previous and the next corner of the aGlobalIndex-th corner of a cont...
SHAPE_LINE_CHAIN & Outline(int aIndex)
Return the reference to aIndex-th outline in the set.
SHAPE_LINE_CHAIN & Hole(int aOutline, int aHole)
Return the reference to aHole-th hole in the aIndex-th outline.
bool IsSolid() const override
int NewOutline()
Creates a new empty polygon in the set and returns its index.
void SimplifyOutlines(int aMaxError=0)
Simplifies the lines in the polyset.
void booleanOp(Clipper2Lib::ClipType aType, const SHAPE_POLY_SET &aOtherShape)
This is the engine to execute all polygon boolean transforms (AND, OR, ... and polygon simplification...
const TRIANGULATED_POLYGON * TriangulatedPolygon(int aIndex) const
bool hasTouchingHoles(const POLYGON &aPoly) const
Return true if the polygon set has any holes that touch share a vertex.
CONST_SEGMENT_ITERATOR CIterateSegments(int aPolygonIdx) const
Return an iterator object, for iterating aPolygonIdx-th polygon edges.
SEG::ecoord SquaredDistance(const VECTOR2I &aPoint, bool aOutlineOnly=false) const override
bool PointOnEdge(const VECTOR2I &aP, int aAccuracy=0) const
Check if point aP lies on an edge or vertex of some of the outlines or holes.
std::atomic< bool > m_hashValid
bool CollideVertex(const VECTOR2I &aPoint, VERTEX_INDEX *aClosestVertex=nullptr, int aClearance=0) const
Check whether aPoint collides with any vertex of any of the contours of the polygon.
void DeletePolygonAndTriangulationData(int aIdx, bool aUpdateHash=true)
Delete aIdx-th polygon and its triangulation data from the set.
unsigned int TriangulatedPolyCount() const
Return the number of triangulated polygons.
std::atomic< bool > m_triangulationValid
void Deflate(int aAmount, CORNER_STRATEGY aCornerStrategy, int aMaxError)
void UpdateTriangulationDataHash()
void BooleanIntersection(const SHAPE_POLY_SET &b)
Perform boolean polyset intersection.
int NewHole(int aOutline=-1)
Creates a new hole in a given outline.
SEG::ecoord SquaredDistanceToPolygon(VECTOR2I aPoint, int aIndex, VECTOR2I *aNearest) const
Compute the minimum distance between the aIndex-th polygon and aPoint.
CONST_SEGMENT_ITERATOR CIterateSegmentsWithHoles() const
Return an iterator object, for the aOutline-th outline in the set (with holes).
virtual size_t GetIndexableSubshapeCount() const override
SEGMENT_ITERATOR IterateSegments(int aFirst, int aLast, bool aIterateHoles=false)
Return an iterator object, for iterating between aFirst and aLast outline, with or without holes (def...
ITERATOR Iterate(int aFirst, int aLast, bool aIterateHoles=false)
Return an object to iterate through the points of the polygons between aFirst and aLast.
CONST_SEGMENT_ITERATOR CIterateSegments(int aFirst, int aLast, bool aIterateHoles=false) const
Return an iterator object, for iterating between aFirst and aLast outline, with or without holes (def...
ITERATOR IterateFromVertexWithHoles(int aGlobalIdx)
SEG::ecoord SquaredDistanceToSeg(const SEG &aSegment, VECTOR2I *aNearest=nullptr) const
Compute the minimum distance squared between aSegment and all the polygons in the set.
void importPolyPath(const std::unique_ptr< Clipper2Lib::PolyPath64 > &aPolyPath, const std::vector< CLIPPER_Z_VALUE > &aZValueBuffer, const std::vector< SHAPE_ARC > &aArcBuffer)
void RebuildHolesFromContours()
Extract all contours from this polygon set, then recreate polygons with holes.
void Mirror(const VECTOR2I &aRef, FLIP_DIRECTION aFlipDirection)
Mirror the line points about y or x (or both)
void OffsetLineChain(const SHAPE_LINE_CHAIN &aLine, int aAmount, CORNER_STRATEGY aCornerStrategy, int aMaxError, bool aSimplify)
Perform offsetting of a line chain.
void BuildBBoxCaches() const
Construct BBoxCaches for Contains(), below.
std::vector< POLYGON > m_polys
void splitSelfTouchingOutlines()
Split outline segments at vertices that lie on them (self-touching polygons).
const SHAPE_LINE_CHAIN & CHole(int aOutline, int aHole) const
POLYGON FilletPolygon(unsigned int aRadius, int aErrorMax, int aIndex)
Return a filleted version of the aIndex-th polygon.
bool containsSingle(const VECTOR2I &aP, int aSubpolyIndex, int aAccuracy, bool aUseBBoxCaches=false) const
Check whether the point aP is inside the aSubpolyIndex-th polygon of the polyset.
const VECTOR2I & CVertex(int aIndex, int aOutline, int aHole) const
Return the index-th vertex in a given hole outline within a given outline.
int OutlineCount() const
Return the number of outlines in the set.
void InflateWithLinkedHoles(int aFactor, CORNER_STRATEGY aCornerStrategy, int aMaxError)
Perform outline inflation/deflation, using round corners.
SEGMENT_ITERATOR_TEMPLATE< SEG > SEGMENT_ITERATOR
POLYGON chamferFilletPolygon(CORNER_MODE aMode, unsigned int aDistance, int aIndex, int aErrorMax)
Return the chamfered or filleted version of the aIndex-th polygon in the set, depending on the aMode ...
SHAPE_POLY_SET & operator=(SHAPE_POLY_SET &&aOther) noexcept
SHAPE_POLY_SET Fillet(int aRadius, int aErrorMax)
Return a filleted version of the polygon set.
void Move(const VECTOR2I &aVector) override
bool HasTouchingHoles() const
Return true if the polygon set has any holes that share a vertex.
SHAPE * Clone() const override
Return a dynamically allocated copy of the shape.
void Fracture(bool aSimplify=true)
Convert a set of polygons with holes to a single outline with "slits"/"fractures" connecting the oute...
SHAPE_POLY_SET & operator=(const SHAPE_POLY_SET &aOther)
bool Contains(const VECTOR2I &aP, int aSubpolyIndex=-1, int aAccuracy=0, bool aUseBBoxCaches=false) const
Return true if a given subpolygon contains the point aP.
SHAPE_POLY_SET CloneDropTriangulation() const
void TransformToPolygon(SHAPE_POLY_SET &aBuffer, int aError, ERROR_LOC aErrorLoc) const override
Fills a SHAPE_POLY_SET with a polygon representation of this shape.
bool isExteriorWaist(const SEG &aSegA, const SEG &aSegB) const
Check if two line segments are collinear and overlap.
void BooleanSubtract(const SHAPE_POLY_SET &b)
Perform boolean polyset difference.
const POLYGON & CPolygon(int aIndex) const
CONST_ITERATOR CIterateWithHoles(int aOutline) const
const SHAPE_LINE_CHAIN & COutline(int aIndex) const
POLYGON ChamferPolygon(unsigned int aDistance, int aIndex)
Return a chamfered version of the aIndex-th polygon.
std::function< void(std::function< void()>)> TASK_SUBMITTER
Callback that submits a unit of work for asynchronous execution.
bool PointInside(const VECTOR2I &aPt, int aAccuracy=0, bool aUseBBoxCache=false) const override
Check if point aP lies inside a closed shape.
const std::vector< POLYGON > & CPolygons() const
SEGMENT_ITERATOR IterateSegmentsWithHoles()
Returns an iterator object, for all outlines in the set (with holes)
const BOX2I BBoxFromCaches() const
CONST_SEGMENT_ITERATOR CIterateSegmentsWithHoles(int aOutline) const
Return an iterator object, for the aOutline-th outline in the set (with holes).
const BOX2I BBox(int aClearance=0) const override
Compute a bounding box of the shape, with a margin of aClearance a collision.
void importTree(Clipper2Lib::PolyTree64 &tree, const std::vector< CLIPPER_Z_VALUE > &aZValueBuffer, const std::vector< SHAPE_ARC > &aArcBuffe)
SEGMENT_ITERATOR_TEMPLATE< const SEG > CONST_SEGMENT_ITERATOR
bool IsSelfIntersecting() const
Check whether any of the polygons in the set is self intersecting.
An abstract shape on 2D plane.
Definition shape.h:124
SHAPE(SHAPE_TYPE aType)
Create an empty shape of type aType.
Definition shape.h:134
constexpr extended_type Cross(const VECTOR2< T > &aVector) const
Compute cross product of self with aVector.
Definition vector2d.h:534
CORNER_STRATEGY
define how inflate transform build inflated polygon
FLIP_DIRECTION
Definition mirror.h:23
EDA_ANGLE abs(const EDA_ANGLE &aAngle)
Definition eda_angle.h:400
@ SH_POLY_SET_TRIANGLE
a single triangle belonging to a POLY_SET triangulation
Definition shape.h:52
std::vector< FAB_LAYER_COLOR > dummy
A storage class for 128-bit hash value.
Definition hash_128.h:32
virtual bool IsClosed() const override
TRI(int _a=0, int _b=0, int _c=0, TRIANGULATED_POLYGON *aParent=nullptr)
virtual bool IsSolid() const override
virtual void Move(const VECTOR2I &aVector) override
virtual void Rotate(const EDA_ANGLE &aAngle, const VECTOR2I &aCenter={ 0, 0 }) override
virtual const BOX2I BBox(int aClearance=0) const override
Compute a bounding box of the shape, with a margin of aClearance a collision.
virtual size_t GetPointCount() const override
virtual const VECTOR2I GetPoint(int aIndex) const override
virtual size_t GetSegmentCount() const override
virtual const SEG GetSegment(int aIndex) const override
Structure to hold the necessary information in order to index a vertex on a SHAPE_POLY_SET object: th...
std::string path
VECTOR2< int32_t > VECTOR2I
Definition vector2d.h:683
VECTOR2< double > VECTOR2D
Definition vector2d.h:682