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+/*******************************************************************************
+* *
+* Author : Angus Johnson *
+* Version : 6.2.9 *
+* Date : 16 February 2015 *
+* Website : http://www.angusj.com *
+* Copyright : Angus Johnson 2010-2015 *
+* *
+* License: *
+* Use, modification & distribution is subject to Boost Software License Ver 1. *
+* http://www.boost.org/LICENSE_1_0.txt *
+* *
+* Attributions: *
+* The code in this library is an extension of Bala Vatti's clipping algorithm: *
+* "A generic solution to polygon clipping" *
+* Communications of the ACM, Vol 35, Issue 7 (July 1992) pp 56-63. *
+* http://portal.acm.org/citation.cfm?id=129906 *
+* *
+* Computer graphics and geometric modeling: implementation and algorithms *
+* By Max K. Agoston *
+* Springer; 1 edition (January 4, 2005) *
+* http://books.google.com/books?q=vatti+clipping+agoston *
+* *
+* See also: *
+* "Polygon Offsetting by Computing Winding Numbers" *
+* Paper no. DETC2005-85513 pp. 565-575 *
+* ASME 2005 International Design Engineering Technical Conferences *
+* and Computers and Information in Engineering Conference (IDETC/CIE2005) *
+* September 24-28, 2005 , Long Beach, California, USA *
+* http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf *
+* *
+*******************************************************************************/
+
+#ifndef clipper_hpp
+#define clipper_hpp
+
+#include <inttypes.h>
+
+#define CLIPPER_VERSION "6.2.6"
+
+//use_xyz: adds a Z member to IntPoint. Adds a minor cost to perfomance.
+//#define use_xyz
+
+//use_lines: Enables line clipping. Adds a very minor cost to performance.
+#define use_lines
+
+//use_deprecated: Enables temporary support for the obsolete functions
+//#define use_deprecated
+
+#include <vector>
+#include <deque>
+#include <stdexcept>
+#include <cstring>
+#include <cstdlib>
+#include <ostream>
+#include <functional>
+#include <queue>
+
+namespace ClipperLib {
+
+enum ClipType { ctIntersection, ctUnion, ctDifference, ctXor };
+enum PolyType { ptSubject, ptClip };
+//By far the most widely used winding rules for polygon filling are
+//EvenOdd & NonZero (GDI, GDI+, XLib, OpenGL, Cairo, AGG, Quartz, SVG, Gr32)
+//Others rules include Positive, Negative and ABS_GTR_EQ_TWO (only in OpenGL)
+//see http://glprogramming.com/red/chapter11.html
+enum PolyFillType { pftEvenOdd, pftNonZero, pftPositive, pftNegative };
+
+// Point coordinate type
+typedef int64_t cInt;
+// Maximum cInt value to allow a cross product calculation using 32bit expressions.
+static cInt const loRange = 0x3FFFFFFF;
+// Maximum allowed cInt value.
+static cInt const hiRange = 0x3FFFFFFFFFFFFFFFLL;
+
+struct IntPoint {
+ cInt X;
+ cInt Y;
+#ifdef use_xyz
+ cInt Z;
+ IntPoint(cInt x = 0, cInt y = 0, cInt z = 0): X(x), Y(y), Z(z) {};
+#else
+ IntPoint(cInt x = 0, cInt y = 0): X(x), Y(y) {};
+#endif
+
+ friend inline bool operator== (const IntPoint& a, const IntPoint& b)
+ {
+ return a.X == b.X && a.Y == b.Y;
+ }
+ friend inline bool operator!= (const IntPoint& a, const IntPoint& b)
+ {
+ return a.X != b.X || a.Y != b.Y;
+ }
+};
+//------------------------------------------------------------------------------
+
+typedef std::vector< IntPoint > Path;
+typedef std::vector< Path > Paths;
+
+inline Path& operator <<(Path& poly, const IntPoint& p) {poly.push_back(p); return poly;}
+inline Paths& operator <<(Paths& polys, const Path& p) {polys.push_back(p); return polys;}
+
+std::ostream& operator <<(std::ostream &s, const IntPoint &p);
+std::ostream& operator <<(std::ostream &s, const Path &p);
+std::ostream& operator <<(std::ostream &s, const Paths &p);
+
+struct DoublePoint
+{
+ double X;
+ double Y;
+ DoublePoint(double x = 0, double y = 0) : X(x), Y(y) {}
+ DoublePoint(IntPoint ip) : X((double)ip.X), Y((double)ip.Y) {}
+};
+//------------------------------------------------------------------------------
+
+#ifdef use_xyz
+typedef void (*ZFillCallback)(IntPoint& e1bot, IntPoint& e1top, IntPoint& e2bot, IntPoint& e2top, IntPoint& pt);
+#endif
+
+enum InitOptions {ioReverseSolution = 1, ioStrictlySimple = 2, ioPreserveCollinear = 4};
+enum JoinType {jtSquare, jtRound, jtMiter};
+enum EndType {etClosedPolygon, etClosedLine, etOpenButt, etOpenSquare, etOpenRound};
+
+class PolyNode;
+typedef std::vector< PolyNode* > PolyNodes;
+
+class PolyNode
+{
+public:
+ PolyNode() : Childs(), Parent(0), Index(0), m_IsOpen(false) {}
+ virtual ~PolyNode(){};
+ Path Contour;
+ PolyNodes Childs;
+ PolyNode* Parent;
+ // Traversal of the polygon tree in a depth first fashion.
+ PolyNode* GetNext() const { return Childs.empty() ? GetNextSiblingUp() : Childs.front(); }
+ bool IsHole() const;
+ bool IsOpen() const { return m_IsOpen; }
+ int ChildCount() const { return (int)Childs.size(); }
+private:
+ unsigned Index; //node index in Parent.Childs
+ bool m_IsOpen;
+ JoinType m_jointype;
+ EndType m_endtype;
+ PolyNode* GetNextSiblingUp() const { return Parent ? ((Index == Parent->Childs.size() - 1) ? Parent->GetNextSiblingUp() : Parent->Childs[Index + 1]) : nullptr; }
+ void AddChild(PolyNode& child);
+ friend class Clipper; //to access Index
+ friend class ClipperOffset;
+ friend class PolyTree; //to implement the PolyTree::move operator
+};
+
+class PolyTree: public PolyNode
+{
+public:
+ PolyTree() {}
+ PolyTree(PolyTree &&src) { *this = std::move(src); }
+ virtual ~PolyTree(){Clear();};
+ PolyTree& operator=(PolyTree &&src) {
+ AllNodes = std::move(src.AllNodes);
+ Contour = std::move(src.Contour);
+ Childs = std::move(src.Childs);
+ Parent = nullptr;
+ Index = src.Index;
+ m_IsOpen = src.m_IsOpen;
+ m_jointype = src.m_jointype;
+ m_endtype = src.m_endtype;
+ for (size_t i = 0; i < Childs.size(); ++ i)
+ Childs[i]->Parent = this;
+ return *this;
+ }
+ PolyNode* GetFirst() const { return Childs.empty() ? nullptr : Childs.front(); }
+ void Clear() { AllNodes.clear(); Childs.clear(); }
+ int Total() const;
+private:
+ PolyTree(const PolyTree &src) = delete;
+ PolyTree& operator=(const PolyTree &src) = delete;
+ std::vector<PolyNode> AllNodes;
+ friend class Clipper; //to access AllNodes
+};
+
+double Area(const Path &poly);
+inline bool Orientation(const Path &poly) { return Area(poly) >= 0; }
+int PointInPolygon(const IntPoint &pt, const Path &path);
+
+void SimplifyPolygon(const Path &in_poly, Paths &out_polys, PolyFillType fillType = pftEvenOdd);
+void SimplifyPolygons(const Paths &in_polys, Paths &out_polys, PolyFillType fillType = pftEvenOdd);
+void SimplifyPolygons(Paths &polys, PolyFillType fillType = pftEvenOdd);
+
+void CleanPolygon(const Path& in_poly, Path& out_poly, double distance = 1.415);
+void CleanPolygon(Path& poly, double distance = 1.415);
+void CleanPolygons(const Paths& in_polys, Paths& out_polys, double distance = 1.415);
+void CleanPolygons(Paths& polys, double distance = 1.415);
+
+void MinkowskiSum(const Path& pattern, const Path& path, Paths& solution, bool pathIsClosed);
+void MinkowskiSum(const Path& pattern, const Paths& paths, Paths& solution, bool pathIsClosed);
+void MinkowskiDiff(const Path& poly1, const Path& poly2, Paths& solution);
+
+void PolyTreeToPaths(const PolyTree& polytree, Paths& paths);
+void ClosedPathsFromPolyTree(const PolyTree& polytree, Paths& paths);
+void OpenPathsFromPolyTree(PolyTree& polytree, Paths& paths);
+
+void ReversePath(Path& p);
+void ReversePaths(Paths& p);
+
+struct IntRect { cInt left; cInt top; cInt right; cInt bottom; };
+
+//enums that are used internally ...
+enum EdgeSide { esLeft = 1, esRight = 2};
+
+// namespace Internal {
+ //forward declarations (for stuff used internally) ...
+ struct TEdge {
+ // Bottom point of this edge (with minimum Y).
+ IntPoint Bot;
+ // Current position.
+ IntPoint Curr;
+ // Top point of this edge (with maximum Y).
+ IntPoint Top;
+ // Vector from Bot to Top.
+ IntPoint Delta;
+ // Slope (dx/dy). For horiontal edges, the slope is set to HORIZONTAL (-1.0E+40).
+ double Dx;
+ PolyType PolyTyp;
+ EdgeSide Side;
+ // Winding number delta. 1 or -1 depending on winding direction, 0 for open paths and flat closed paths.
+ int WindDelta;
+ int WindCnt;
+ int WindCnt2; //winding count of the opposite polytype
+ int OutIdx;
+ // Next edge in the input path.
+ TEdge *Next;
+ // Previous edge in the input path.
+ TEdge *Prev;
+ // Next edge in the Local Minima List chain.
+ TEdge *NextInLML;
+ TEdge *NextInAEL;
+ TEdge *PrevInAEL;
+ TEdge *NextInSEL;
+ TEdge *PrevInSEL;
+ };
+
+ struct IntersectNode {
+ IntersectNode(TEdge *Edge1, TEdge *Edge2, IntPoint Pt) :
+ Edge1(Edge1), Edge2(Edge2), Pt(Pt) {}
+ TEdge *Edge1;
+ TEdge *Edge2;
+ IntPoint Pt;
+ };
+
+ struct LocalMinimum {
+ cInt Y;
+ TEdge *LeftBound;
+ TEdge *RightBound;
+ };
+
+ // Point of an output polygon.
+ // 36B on 64bit system without use_xyz.
+ struct OutPt {
+ // 4B
+ int Idx;
+ // 16B without use_xyz / 24B with use_xyz
+ IntPoint Pt;
+ // 4B on 32bit system, 8B on 64bit system
+ OutPt *Next;
+ // 4B on 32bit system, 8B on 64bit system
+ OutPt *Prev;
+ };
+
+ struct OutRec;
+ struct Join {
+ Join(OutPt *OutPt1, OutPt *OutPt2, IntPoint OffPt) :
+ OutPt1(OutPt1), OutPt2(OutPt2), OffPt(OffPt) {}
+ OutPt *OutPt1;
+ OutPt *OutPt2;
+ IntPoint OffPt;
+ };
+// }; // namespace Internal
+
+//------------------------------------------------------------------------------
+
+//ClipperBase is the ancestor to the Clipper class. It should not be
+//instantiated directly. This class simply abstracts the conversion of sets of
+//polygon coordinates into edge objects that are stored in a LocalMinima list.
+class ClipperBase
+{
+public:
+ ClipperBase() : m_UseFullRange(false), m_HasOpenPaths(false) {}
+ ~ClipperBase() { Clear(); }
+ bool AddPath(const Path &pg, PolyType PolyTyp, bool Closed);
+ bool AddPaths(const Paths &ppg, PolyType PolyTyp, bool Closed);
+ void Clear();
+ IntRect GetBounds();
+ // By default, when three or more vertices are collinear in input polygons (subject or clip), the Clipper object removes the 'inner' vertices before clipping.
+ // When enabled the PreserveCollinear property prevents this default behavior to allow these inner vertices to appear in the solution.
+ bool PreserveCollinear() const {return m_PreserveCollinear;};
+ void PreserveCollinear(bool value) {m_PreserveCollinear = value;};
+protected:
+ bool AddPathInternal(const Path &pg, int highI, PolyType PolyTyp, bool Closed, TEdge* edges);
+ TEdge* AddBoundsToLML(TEdge *e, bool IsClosed);
+ void Reset();
+ TEdge* ProcessBound(TEdge* E, bool IsClockwise);
+ TEdge* DescendToMin(TEdge *&E);
+ void AscendToMax(TEdge *&E, bool Appending, bool IsClosed);
+
+ // Local minima (Y, left edge, right edge) sorted by ascending Y.
+ std::vector<LocalMinimum> m_MinimaList;
+
+ // True if the input polygons have abs values higher than loRange, but lower than hiRange.
+ // False if the input polygons have abs values lower or equal to loRange.
+ bool m_UseFullRange;
+ // A vector of edges per each input path.
+ std::vector<std::vector<TEdge>> m_edges;
+ // Don't remove intermediate vertices of a collinear sequence of points.
+ bool m_PreserveCollinear;
+ // Is any of the paths inserted by AddPath() or AddPaths() open?
+ bool m_HasOpenPaths;
+};
+//------------------------------------------------------------------------------
+
+class Clipper : public ClipperBase
+{
+public:
+ Clipper(int initOptions = 0);
+ ~Clipper() { Clear(); }
+ void Clear() { ClipperBase::Clear(); DisposeAllOutRecs(); }
+ bool Execute(ClipType clipType,
+ Paths &solution,
+ PolyFillType fillType = pftEvenOdd)
+ { return Execute(clipType, solution, fillType, fillType); }
+ bool Execute(ClipType clipType,
+ Paths &solution,
+ PolyFillType subjFillType,
+ PolyFillType clipFillType);
+ bool Execute(ClipType clipType,
+ PolyTree &polytree,
+ PolyFillType fillType = pftEvenOdd)
+ { return Execute(clipType, polytree, fillType, fillType); }
+ bool Execute(ClipType clipType,
+ PolyTree &polytree,
+ PolyFillType subjFillType,
+ PolyFillType clipFillType);
+ bool ReverseSolution() const { return m_ReverseOutput; };
+ void ReverseSolution(bool value) {m_ReverseOutput = value;};
+ bool StrictlySimple() const {return m_StrictSimple;};
+ void StrictlySimple(bool value) {m_StrictSimple = value;};
+ //set the callback function for z value filling on intersections (otherwise Z is 0)
+#ifdef use_xyz
+ void ZFillFunction(ZFillCallback zFillFunc) { m_ZFill = zFillFunc; }
+#endif
+protected:
+ void Reset();
+ virtual bool ExecuteInternal();
+private:
+
+ // Output polygons.
+ std::vector<OutRec*> m_PolyOuts;
+ // Output points, allocated by a continuous sets of m_OutPtsChunkSize.
+ std::vector<OutPt*> m_OutPts;
+ // List of free output points, to be used before taking a point from m_OutPts or allocating a new chunk.
+ OutPt *m_OutPtsFree;
+ size_t m_OutPtsChunkSize;
+ size_t m_OutPtsChunkLast;
+
+ std::vector<Join> m_Joins;
+ std::vector<Join> m_GhostJoins;
+ std::vector<IntersectNode> m_IntersectList;
+ ClipType m_ClipType;
+ // A priority queue (a binary heap) of Y coordinates.
+ std::priority_queue<cInt> m_Scanbeam;
+ // Maxima are collected by ProcessEdgesAtTopOfScanbeam(), consumed by ProcessHorizontal().
+ std::vector<cInt> m_Maxima;
+ TEdge *m_ActiveEdges;
+ TEdge *m_SortedEdges;
+ PolyFillType m_ClipFillType;
+ PolyFillType m_SubjFillType;
+ bool m_ReverseOutput;
+ // Does the result go to a PolyTree or Paths?
+ bool m_UsingPolyTree;
+ bool m_StrictSimple;
+#ifdef use_xyz
+ ZFillCallback m_ZFill; //custom callback
+#endif
+ void SetWindingCount(TEdge& edge) const;
+ bool IsEvenOddFillType(const TEdge& edge) const
+ { return (edge.PolyTyp == ptSubject) ? m_SubjFillType == pftEvenOdd : m_ClipFillType == pftEvenOdd; }
+ bool IsEvenOddAltFillType(const TEdge& edge) const
+ { return (edge.PolyTyp == ptSubject) ? m_ClipFillType == pftEvenOdd : m_SubjFillType == pftEvenOdd; }
+ void InsertLocalMinimaIntoAEL(const cInt botY);
+ void InsertEdgeIntoAEL(TEdge *edge, TEdge* startEdge);
+ void AddEdgeToSEL(TEdge *edge);
+ void CopyAELToSEL();
+ void DeleteFromSEL(TEdge *e);
+ void DeleteFromAEL(TEdge *e);
+ void UpdateEdgeIntoAEL(TEdge *&e);
+ void SwapPositionsInSEL(TEdge *edge1, TEdge *edge2);
+ bool IsContributing(const TEdge& edge) const;
+ bool IsTopHorz(const cInt XPos);
+ void SwapPositionsInAEL(TEdge *edge1, TEdge *edge2);
+ void DoMaxima(TEdge *e);
+ void ProcessHorizontals();
+ void ProcessHorizontal(TEdge *horzEdge);
+ void AddLocalMaxPoly(TEdge *e1, TEdge *e2, const IntPoint &pt);
+ OutPt* AddLocalMinPoly(TEdge *e1, TEdge *e2, const IntPoint &pt);
+ OutRec* GetOutRec(int idx);
+ void AppendPolygon(TEdge *e1, TEdge *e2) const;
+ void IntersectEdges(TEdge *e1, TEdge *e2, IntPoint &pt);
+ OutRec* CreateOutRec();
+ OutPt* AddOutPt(TEdge *e, const IntPoint &pt);
+ OutPt* GetLastOutPt(TEdge *e);
+ OutPt* AllocateOutPt();
+ OutPt* DupOutPt(OutPt* outPt, bool InsertAfter);
+ // Add the point to a list of free points.
+ void DisposeOutPt(OutPt *pt) { pt->Next = m_OutPtsFree; m_OutPtsFree = pt; }
+ void DisposeOutPts(OutPt*& pp) { if (pp != nullptr) { pp->Prev->Next = m_OutPtsFree; m_OutPtsFree = pp; } }
+ void DisposeAllOutRecs();
+ bool ProcessIntersections(const cInt topY);
+ void BuildIntersectList(const cInt topY);
+ void ProcessEdgesAtTopOfScanbeam(const cInt topY);
+ void BuildResult(Paths& polys);
+ void BuildResult2(PolyTree& polytree);
+ void SetHoleState(TEdge *e, OutRec *outrec) const;
+ bool FixupIntersectionOrder();
+ void FixupOutPolygon(OutRec &outrec);
+ void FixupOutPolyline(OutRec &outrec);
+ bool FindOwnerFromSplitRecs(OutRec &outRec, OutRec *&currOrfl);
+ void FixHoleLinkage(OutRec &outrec);
+ bool JoinPoints(Join *j, OutRec* outRec1, OutRec* outRec2);
+ bool JoinHorz(OutPt* op1, OutPt* op1b, OutPt* op2, OutPt* op2b, const IntPoint &Pt, bool DiscardLeft);
+ void JoinCommonEdges();
+ void DoSimplePolygons();
+ void FixupFirstLefts1(OutRec* OldOutRec, OutRec* NewOutRec) const;
+ void FixupFirstLefts2(OutRec* OldOutRec, OutRec* NewOutRec) const;
+#ifdef use_xyz
+ void SetZ(IntPoint& pt, TEdge& e1, TEdge& e2);
+#endif
+};
+//------------------------------------------------------------------------------
+
+class ClipperOffset
+{
+public:
+ ClipperOffset(double miterLimit = 2.0, double roundPrecision = 0.25, double shortestEdgeLength = 0.) :
+ MiterLimit(miterLimit), ArcTolerance(roundPrecision), ShortestEdgeLength(shortestEdgeLength), m_lowest(-1, 0) {}
+ ~ClipperOffset() { Clear(); }
+ void AddPath(const Path& path, JoinType joinType, EndType endType);
+ void AddPaths(const Paths& paths, JoinType joinType, EndType endType);
+ void Execute(Paths& solution, double delta);
+ void Execute(PolyTree& solution, double delta);
+ void Clear();
+ double MiterLimit;
+ double ArcTolerance;
+ double ShortestEdgeLength;
+private:
+ Paths m_destPolys;
+ Path m_srcPoly;
+ Path m_destPoly;
+ std::vector<DoublePoint> m_normals;
+ double m_delta, m_sinA, m_sin, m_cos;
+ double m_miterLim, m_StepsPerRad;
+ IntPoint m_lowest;
+ PolyNode m_polyNodes;
+
+ void FixOrientations();
+ void DoOffset(double delta);
+ void OffsetPoint(int j, int& k, JoinType jointype);
+ void DoSquare(int j, int k);
+ void DoMiter(int j, int k, double r);
+ void DoRound(int j, int k);
+};
+//------------------------------------------------------------------------------
+
+class clipperException : public std::exception
+{
+ public:
+ clipperException(const char* description): m_descr(description) {}
+ virtual ~clipperException() throw() {}
+ virtual const char* what() const throw() {return m_descr.c_str();}
+ private:
+ std::string m_descr;
+};
+//------------------------------------------------------------------------------
+
+} //ClipperLib namespace
+
+#endif //clipper_hpp
+
+