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+/*******************************************************************************
+* *
+* Author : Angus Johnson *
+* Version : 6.1.3a *
+* Date : 22 January 2014 *
+* Website : http://www.angusj.com *
+* Copyright : Angus Johnson 2010-2014 *
+* *
+* 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
+
+#define CLIPPER_VERSION "6.1.3"
+
+//use_int32: When enabled 32bit ints are used instead of 64bit ints. This
+//improve performance but coordinate values are limited to the range +/- 46340
+//#define use_int32
+
+//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 support for the obsolete OffsetPaths() function
+//which has been replace with the ClipperOffset class.
+#define use_deprecated
+
+#include <vector>
+#include <set>
+#include <stdexcept>
+#include <cstring>
+#include <cstdlib>
+#include <ostream>
+#include <functional>
+
+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 };
+
+#ifdef use_int32
+typedef int cInt;
+typedef unsigned int cUInt;
+#else
+typedef signed long long cInt;
+typedef unsigned long long cUInt;
+#endif
+
+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 (*TZFillCallback)(IntPoint& z1, IntPoint& z2, IntPoint& pt);
+#endif
+
+enum InitOptions {ioReverseSolution = 1, ioStrictlySimple = 2, ioPreserveCollinear = 4};
+enum JoinType {jtSquare, jtRound, jtMiter};
+enum EndType {etClosedPolygon, etClosedLine, etOpenButt, etOpenSquare, etOpenRound};
+#ifdef use_deprecated
+ enum EndType_ {etClosed, etButt = 2, etSquare, etRound};
+#endif
+
+class PolyNode;
+typedef std::vector< PolyNode* > PolyNodes;
+
+class PolyNode
+{
+public:
+ PolyNode();
+ Path Contour;
+ PolyNodes Childs;
+ PolyNode* Parent;
+ PolyNode* GetNext() const;
+ bool IsHole() const;
+ bool IsOpen() const;
+ int ChildCount() const;
+private:
+ unsigned Index; //node index in Parent.Childs
+ bool m_IsOpen;
+ JoinType m_jointype;
+ EndType m_endtype;
+ PolyNode* GetNextSiblingUp() const;
+ void AddChild(PolyNode& child);
+ friend class Clipper; //to access Index
+ friend class ClipperOffset;
+};
+
+class PolyTree: public PolyNode
+{
+public:
+ ~PolyTree(){Clear();};
+ PolyNode* GetFirst() const;
+ void Clear();
+ int Total() const;
+private:
+ PolyNodes AllNodes;
+ friend class Clipper; //to access AllNodes
+};
+
+bool Orientation(const Path &poly);
+double Area(const Path &poly);
+int PointInPolygon(const IntPoint &pt, const Path &path);
+
+#ifdef use_deprecated
+ void OffsetPaths(const Paths &in_polys, Paths &out_polys,
+ double delta, JoinType jointype, EndType_ endtype, double limit = 0);
+#endif
+
+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, PolyFillType pathFillType, 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};
+
+//forward declarations (for stuff used internally) ...
+struct TEdge;
+struct IntersectNode;
+struct LocalMinima;
+struct Scanbeam;
+struct OutPt;
+struct OutRec;
+struct Join;
+
+typedef std::vector < OutRec* > PolyOutList;
+typedef std::vector < TEdge* > EdgeList;
+typedef std::vector < Join* > JoinList;
+typedef std::vector < IntersectNode* > IntersectList;
+
+
+//------------------------------------------------------------------------------
+
+//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();
+ virtual ~ClipperBase();
+ bool AddPath(const Path &pg, PolyType PolyTyp, bool Closed);
+ bool AddPaths(const Paths &ppg, PolyType PolyTyp, bool Closed);
+ virtual void Clear();
+ IntRect GetBounds();
+ bool PreserveCollinear() {return m_PreserveCollinear;};
+ void PreserveCollinear(bool value) {m_PreserveCollinear = value;};
+protected:
+ void DisposeLocalMinimaList();
+ TEdge* AddBoundsToLML(TEdge *e, bool IsClosed);
+ void PopLocalMinima();
+ virtual void Reset();
+ TEdge* ProcessBound(TEdge* E, bool IsClockwise);
+ void InsertLocalMinima(LocalMinima *newLm);
+ void DoMinimaLML(TEdge* E1, TEdge* E2, bool IsClosed);
+ TEdge* DescendToMin(TEdge *&E);
+ void AscendToMax(TEdge *&E, bool Appending, bool IsClosed);
+ LocalMinima *m_CurrentLM;
+ LocalMinima *m_MinimaList;
+ bool m_UseFullRange;
+ EdgeList m_edges;
+ bool m_PreserveCollinear;
+ bool m_HasOpenPaths;
+};
+//------------------------------------------------------------------------------
+
+class Clipper : public virtual ClipperBase
+{
+public:
+ Clipper(int initOptions = 0);
+ ~Clipper();
+ bool Execute(ClipType clipType,
+ Paths &solution,
+ PolyFillType subjFillType = pftEvenOdd,
+ PolyFillType clipFillType = pftEvenOdd);
+ bool Execute(ClipType clipType,
+ PolyTree &polytree,
+ PolyFillType subjFillType = pftEvenOdd,
+ PolyFillType clipFillType = pftEvenOdd);
+ bool ReverseSolution() {return m_ReverseOutput;};
+ void ReverseSolution(bool value) {m_ReverseOutput = value;};
+ bool StrictlySimple() {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(TZFillCallback zFillFunc);
+#endif
+protected:
+ void Reset();
+ virtual bool ExecuteInternal();
+private:
+ PolyOutList m_PolyOuts;
+ JoinList m_Joins;
+ JoinList m_GhostJoins;
+ IntersectList m_IntersectList;
+ ClipType m_ClipType;
+ std::set< cInt, std::greater<cInt> > m_Scanbeam;
+ TEdge *m_ActiveEdges;
+ TEdge *m_SortedEdges;
+ bool m_ExecuteLocked;
+ PolyFillType m_ClipFillType;
+ PolyFillType m_SubjFillType;
+ bool m_ReverseOutput;
+ bool m_UsingPolyTree;
+ bool m_StrictSimple;
+#ifdef use_xyz
+ TZFillCallback m_ZFill; //custom callback
+#endif
+ void SetWindingCount(TEdge& edge);
+ bool IsEvenOddFillType(const TEdge& edge) const;
+ bool IsEvenOddAltFillType(const TEdge& edge) const;
+ void InsertScanbeam(const cInt Y);
+ cInt PopScanbeam();
+ 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 PrepareHorzJoins(TEdge* horzEdge, bool isTopOfScanbeam);
+ void ProcessHorizontals(bool IsTopOfScanbeam);
+ void ProcessHorizontal(TEdge *horzEdge, bool isTopOfScanbeam);
+ 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);
+ void IntersectEdges(TEdge *e1, TEdge *e2,
+ const IntPoint &pt, bool protect = false);
+ OutRec* CreateOutRec();
+ OutPt* AddOutPt(TEdge *e, const IntPoint &pt);
+ void DisposeAllOutRecs();
+ void DisposeOutRec(PolyOutList::size_type index);
+ bool ProcessIntersections(const cInt botY, const cInt topY);
+ void BuildIntersectList(const cInt botY, const cInt topY);
+ void ProcessIntersectList();
+ void ProcessEdgesAtTopOfScanbeam(const cInt topY);
+ void BuildResult(Paths& polys);
+ void BuildResult2(PolyTree& polytree);
+ void SetHoleState(TEdge *e, OutRec *outrec);
+ void DisposeIntersectNodes();
+ bool FixupIntersectionOrder();
+ void FixupOutPolygon(OutRec &outrec);
+ bool IsHole(TEdge *e);
+ bool FindOwnerFromSplitRecs(OutRec &outRec, OutRec *&currOrfl);
+ void FixHoleLinkage(OutRec &outrec);
+ void AddJoin(OutPt *op1, OutPt *op2, const IntPoint offPt);
+ void ClearJoins();
+ void ClearGhostJoins();
+ void AddGhostJoin(OutPt *op, const IntPoint offPt);
+ bool JoinPoints(Join *j, OutRec* outRec1, OutRec* outRec2);
+ void JoinCommonEdges();
+ void DoSimplePolygons();
+ void FixupFirstLefts1(OutRec* OldOutRec, OutRec* NewOutRec);
+ void FixupFirstLefts2(OutRec* OldOutRec, OutRec* NewOutRec);
+#ifdef use_xyz
+ void SetZ(IntPoint& pt, TEdge& e);
+#endif
+};
+//------------------------------------------------------------------------------
+
+class ClipperOffset
+{
+public:
+ ClipperOffset(double miterLimit = 2.0, double roundPrecision = 0.25);
+ ~ClipperOffset();
+ 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;
+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
+
+