polyclip/0000755000175100001440000000000012331703674012131 5ustar hornikuserspolyclip/configure.ac0000644000175100001440000000427312331426577014431 0ustar hornikusersAC_INIT(polyclip,[1.1-0]) CXX=`"${R_HOME}/bin/R" CMD config CXX` CXXFLAGS=`"${R_HOME}/bin/R" CMD config CXXFLAGS` CPPFLAGS=`"${R_HOME}/bin/R" CMD config CPPFLAGS` dnl Check for availability of 64-bit integer types in C++ AC_LANG([C++]) dnl Signed 64-bit integer long64="" name64="signed 64-bit integers (cInt)" AC_CHECK_TYPES([int64_t],[long64="int64_t"],[],[#include ]) if test "${long64}" != ""; then POLYCLIP_LONG64="${long64}" else AC_CHECK_TYPES([int_fast64_t],[long64="int_fast64_t"],[],[#include ]) if test "${long64}" != ""; then POLYCLIP_LONG64="${long64}" else AC_CHECK_TYPES([int_least64_t],[long64="int_least64_t"],[],[#include ]) if test "${long64}" != ""; then POLYCLIP_LONG64="${long64}" else AC_CHECK_TYPES([long long],[long64="long long"]) if test "${long64}" != ""; then POLYCLIP_LONG64="${long64}" else echo "Error: unable to find a C++ data type for ${name64}" exit 1 fi fi fi fi echo " In src/clipper.h, ${name64}" echo " will be declared as '${long64}'" dnl Unsigned 64-bit integer ulong64="" uname64="unsigned 64-bit integers (cUInt)" AC_CHECK_TYPES([uint64_t],[ulong64="uint64_t"],[],[#include ]) if test "${ulong64}" != ""; then POLYCLIP_ULONG64="${ulong64}" else AC_CHECK_TYPES([uint_fast64_t],[ulong64="uint_fast64_t"],[],[#include ]) if test "${ulong64}" != ""; then POLYCLIP_ULONG64="${ulong64}" else AC_CHECK_TYPES([uint_least64_t],[ulong64="uint_least64_t"],[],[#include ]) if test "${ulong64}" != ""; then POLYCLIP_ULONG64="${ulong64}" else AC_CHECK_TYPES([unsigned long long],[ulong64="unsigned long long"]) if test "${ulong64}" != ""; then POLYCLIP_ULONG64="${ulong64}" else echo "Error: unable to find a C++ data type for ${uname64}" exit 1 fi fi fi fi echo " In src/clipper.h, ${uname64}" echo " will be declared as '${ulong64}'" dnl Put results in C++ preprocessor flags POLYCLIP_CPPFLAGS="-DPOLYCLIP_LONG64=\"${POLYCLIP_LONG64}\" -DPOLYCLIP_ULONG64=\"${POLYCLIP_ULONG64}\"" AC_SUBST(POLYCLIP_CPPFLAGS) AC_CONFIG_FILES([src/Makevars]) AC_OUTPUT polyclip/src/0000755000175100001440000000000012331664166012722 5ustar hornikuserspolyclip/src/clipper.h0000644000175100001440000003667712331664166014554 0ustar hornikusers/******************************************************************************* * * * 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 * * * *******************************************************************************/ /******************************************************************************* * * * Modified by Adrian Baddeley * * for inclusion in an 'R' package * * * * Alterations are switched on/off by variable 'R_PACKAGE' * * * *******************************************************************************/ #define R_PACKAGE #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 #include #include #include #include #include #include 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 /* ........ begin hack by Adrian .......... */ #ifdef POLYCLIP_LONG64 // 64-bit types in are found using a configuration script #include typedef POLYCLIP_LONG64 cInt; typedef POLYCLIP_ULONG64 cUInt; #else // e.g. Windows typedef signed long long cInt; typedef unsigned long long cUInt; #endif #endif /* ........ end hack by Adrian .......... */ 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;} #ifndef R_PACKAGE 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); #endif 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 > 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 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); }; //------------------------------------------------------------------------------ #ifndef R_PACKAGE 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; }; #endif //------------------------------------------------------------------------------ } //ClipperLib namespace #endif //clipper_hpp polyclip/src/clipper.cpp0000644000175100001440000041357712331664166015105 0ustar hornikusers/******************************************************************************* * * * 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 * * * *******************************************************************************/ /******************************************************************************* * * * This is a translation of the Delphi Clipper library and the naming style * * used has retained a Delphi flavour. * * * *******************************************************************************/ /******************************************************************************* * * * Modified by Adrian Baddeley * * for inclusion in an 'R' package * * * * Alterations are switched on/off by variable 'R_PACKAGE' * *******************************************************************************/ #define R_PACKAGE #include "clipper.h" #include #include #include #include #include #include #include #include /* .................. */ #ifdef R_PACKAGE #include #include // Do not include Rmath.h !!! Some kind of conflict.. #include #endif /* divert error messages to R error handler */ #ifndef R_PACKAGE #define THROW(A) throw A #define THROWCLIPPER(A) throw clipperException(A) #define THROWBLANK(A) throw #else #define THROW(A) error(A) #define THROWCLIPPER(A) THROW(A) #define THROWBLANK(A) THROW(A) #endif /* .................. */ namespace ClipperLib { #ifdef use_int32 static cInt const loRange = 46340; static cInt const hiRange = 46340; #else static cInt const loRange = 0x3FFFFFFF; static cInt const hiRange = 0x3FFFFFFFFFFFFFFFLL; typedef unsigned long long ulong64; #endif static double const pi = 3.141592653589793238; static double const two_pi = pi *2; static double const def_arc_tolerance = 0.25; enum Direction { dRightToLeft, dLeftToRight }; static int const Unassigned = -1; //edge not currently 'owning' a solution static int const Skip = -2; //edge that would otherwise close a path #define HORIZONTAL (-1.0E+40) #define TOLERANCE (1.0e-20) #define NEAR_ZERO(val) (((val) > -TOLERANCE) && ((val) < TOLERANCE)) struct TEdge { IntPoint Bot; IntPoint Curr; IntPoint Top; IntPoint Delta; double Dx; PolyType PolyTyp; EdgeSide Side; int WindDelta; //1 or -1 depending on winding direction int WindCnt; int WindCnt2; //winding count of the opposite polytype int OutIdx; TEdge *Next; TEdge *Prev; TEdge *NextInLML; TEdge *NextInAEL; TEdge *PrevInAEL; TEdge *NextInSEL; TEdge *PrevInSEL; }; struct IntersectNode { TEdge *Edge1; TEdge *Edge2; IntPoint Pt; }; struct LocalMinima { cInt Y; TEdge *LeftBound; TEdge *RightBound; LocalMinima *Next; }; struct OutPt; struct OutRec { int Idx; bool IsHole; bool IsOpen; OutRec *FirstLeft; //see comments in clipper.pas PolyNode *PolyNd; OutPt *Pts; OutPt *BottomPt; }; struct OutPt { int Idx; IntPoint Pt; OutPt *Next; OutPt *Prev; }; struct Join { OutPt *OutPt1; OutPt *OutPt2; IntPoint OffPt; }; //------------------------------------------------------------------------------ //------------------------------------------------------------------------------ inline cInt Round(double val) { if ((val < 0)) return static_cast(val - 0.5); else return static_cast(val + 0.5); } //------------------------------------------------------------------------------ inline cInt Abs(cInt val) { return val < 0 ? -val : val; } //------------------------------------------------------------------------------ // PolyTree methods ... //------------------------------------------------------------------------------ void PolyTree::Clear() { for (PolyNodes::size_type i = 0; i < AllNodes.size(); ++i) delete AllNodes[i]; AllNodes.resize(0); Childs.resize(0); } //------------------------------------------------------------------------------ PolyNode* PolyTree::GetFirst() const { if (!Childs.empty()) return Childs[0]; else return 0; } //------------------------------------------------------------------------------ int PolyTree::Total() const { return (int)AllNodes.size(); } //------------------------------------------------------------------------------ // PolyNode methods ... //------------------------------------------------------------------------------ PolyNode::PolyNode(): Childs(), Parent(0), Index(0), m_IsOpen(false) { } //------------------------------------------------------------------------------ int PolyNode::ChildCount() const { return (int)Childs.size(); } //------------------------------------------------------------------------------ void PolyNode::AddChild(PolyNode& child) { unsigned cnt = (unsigned)Childs.size(); Childs.push_back(&child); child.Parent = this; child.Index = cnt; } //------------------------------------------------------------------------------ PolyNode* PolyNode::GetNext() const { if (!Childs.empty()) return Childs[0]; else return GetNextSiblingUp(); } //------------------------------------------------------------------------------ PolyNode* PolyNode::GetNextSiblingUp() const { if (!Parent) //protects against PolyTree.GetNextSiblingUp() return 0; else if (Index == Parent->Childs.size() - 1) return Parent->GetNextSiblingUp(); else return Parent->Childs[Index + 1]; } //------------------------------------------------------------------------------ bool PolyNode::IsHole() const { bool result = true; PolyNode* node = Parent; while (node) { result = !result; node = node->Parent; } return result; } //------------------------------------------------------------------------------ bool PolyNode::IsOpen() const { return m_IsOpen; } //------------------------------------------------------------------------------ #ifndef use_int32 //------------------------------------------------------------------------------ // Int128 class (enables safe math on signed 64bit integers) // eg Int128 val1((cInt)9223372036854775807); //ie 2^63 -1 // Int128 val2((cInt)9223372036854775807); // Int128 val3 = val1 * val2; // val3.AsString => "85070591730234615847396907784232501249" (8.5e+37) //------------------------------------------------------------------------------ class Int128 { public: cUInt lo; cInt hi; Int128(cInt _lo = 0) { lo = (cUInt)_lo; if (_lo < 0) hi = -1; else hi = 0; } Int128(const Int128 &val): lo(val.lo), hi(val.hi){} Int128(const cInt& _hi, const ulong64& _lo): lo(_lo), hi(_hi){} Int128& operator = (const cInt &val) { lo = (ulong64)val; if (val < 0) hi = -1; else hi = 0; return *this; } bool operator == (const Int128 &val) const {return (hi == val.hi && lo == val.lo);} bool operator != (const Int128 &val) const { return !(*this == val);} bool operator > (const Int128 &val) const { if (hi != val.hi) return hi > val.hi; else return lo > val.lo; } bool operator < (const Int128 &val) const { if (hi != val.hi) return hi < val.hi; else return lo < val.lo; } bool operator >= (const Int128 &val) const { return !(*this < val);} bool operator <= (const Int128 &val) const { return !(*this > val);} Int128& operator += (const Int128 &rhs) { hi += rhs.hi; lo += rhs.lo; if (lo < rhs.lo) hi++; return *this; } Int128 operator + (const Int128 &rhs) const { Int128 result(*this); result+= rhs; return result; } Int128& operator -= (const Int128 &rhs) { *this += -rhs; return *this; } Int128 operator - (const Int128 &rhs) const { Int128 result(*this); result -= rhs; return result; } Int128 operator-() const //unary negation { if (lo == 0) return Int128(-hi,0); else return Int128(~hi,~lo +1); } Int128 operator/ (const Int128 &rhs) const { if (rhs.lo == 0 && rhs.hi == 0) THROW("Int128 operator/: divide by zero"); bool negate = (rhs.hi < 0) != (hi < 0); Int128 dividend = *this; Int128 divisor = rhs; if (dividend.hi < 0) dividend = -dividend; if (divisor.hi < 0) divisor = -divisor; if (divisor < dividend) { Int128 result = Int128(0); Int128 cntr = Int128(1); while (divisor.hi >= 0 && !(divisor > dividend)) { divisor.hi <<= 1; if ((cInt)divisor.lo < 0) divisor.hi++; divisor.lo <<= 1; cntr.hi <<= 1; if ((cInt)cntr.lo < 0) cntr.hi++; cntr.lo <<= 1; } divisor.lo >>= 1; if ((divisor.hi & 1) == 1) divisor.lo |= 0x8000000000000000LL; divisor.hi = (ulong64)divisor.hi >> 1; cntr.lo >>= 1; if ((cntr.hi & 1) == 1) cntr.lo |= 0x8000000000000000LL; cntr.hi >>= 1; while (cntr.hi != 0 || cntr.lo != 0) { if (!(dividend < divisor)) { dividend -= divisor; result.hi |= cntr.hi; result.lo |= cntr.lo; } divisor.lo >>= 1; if ((divisor.hi & 1) == 1) divisor.lo |= 0x8000000000000000LL; divisor.hi >>= 1; cntr.lo >>= 1; if ((cntr.hi & 1) == 1) cntr.lo |= 0x8000000000000000LL; cntr.hi >>= 1; } if (negate) result = -result; return result; } else if (rhs.hi == this->hi && rhs.lo == this->lo) return Int128(negate ? -1: 1); else return Int128(0); } double AsDouble() const { const double shift64 = 18446744073709551616.0; //2^64 if (hi < 0) { cUInt lo_ = ~lo + 1; if (lo_ == 0) return (double)hi * shift64; else return -(double)(lo_ + ~hi * shift64); } else return (double)(lo + hi * shift64); } }; //------------------------------------------------------------------------------ Int128 Int128Mul (cInt lhs, cInt rhs) { bool negate = (lhs < 0) != (rhs < 0); if (lhs < 0) lhs = -lhs; ulong64 int1Hi = ulong64(lhs) >> 32; ulong64 int1Lo = ulong64(lhs & 0xFFFFFFFF); if (rhs < 0) rhs = -rhs; ulong64 int2Hi = ulong64(rhs) >> 32; ulong64 int2Lo = ulong64(rhs & 0xFFFFFFFF); //nb: see comments in clipper.pas ulong64 a = int1Hi * int2Hi; ulong64 b = int1Lo * int2Lo; ulong64 c = int1Hi * int2Lo + int1Lo * int2Hi; Int128 tmp; tmp.hi = cInt(a + (c >> 32)); tmp.lo = cInt(c << 32); tmp.lo += cInt(b); if (tmp.lo < b) tmp.hi++; if (negate) tmp = -tmp; return tmp; }; #endif //------------------------------------------------------------------------------ // Miscellaneous global functions //------------------------------------------------------------------------------ bool Orientation(const Path &poly) { return Area(poly) >= 0; } //------------------------------------------------------------------------------ double Area(const Path &poly) { int size = (int)poly.size(); if (size < 3) return 0; double a = 0; for (int i = 0, j = size -1; i < size; ++i) { a += ((double)poly[j].X + poly[i].X) * ((double)poly[j].Y - poly[i].Y); j = i; } return -a * 0.5; } //------------------------------------------------------------------------------ double Area(const OutRec &outRec) { OutPt *op = outRec.Pts; if (!op) return 0; double a = 0; do { a += (double)(op->Prev->Pt.X + op->Pt.X) * (double)(op->Prev->Pt.Y - op->Pt.Y); op = op->Next; } while (op != outRec.Pts); return a * 0.5; } //------------------------------------------------------------------------------ bool PointIsVertex(const IntPoint &Pt, OutPt *pp) { OutPt *pp2 = pp; do { if (pp2->Pt == Pt) return true; pp2 = pp2->Next; } while (pp2 != pp); return false; } //------------------------------------------------------------------------------ int PointInPolygon (const IntPoint &pt, const Path &path) { //returns 0 if false, +1 if true, -1 if pt ON polygon boundary //http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.88.5498&rep=rep1&type=pdf int result = 0; size_t cnt = path.size(); if (cnt < 3) return 0; IntPoint ip = path[0]; for(size_t i = 1; i <= cnt; ++i) { IntPoint ipNext = (i == cnt ? path[0] : path[i]); if (ipNext.Y == pt.Y) { if ((ipNext.X == pt.X) || (ip.Y == pt.Y && ((ipNext.X > pt.X) == (ip.X < pt.X)))) return -1; } if ((ip.Y < pt.Y) != (ipNext.Y < pt.Y)) { if (ip.X >= pt.X) { if (ipNext.X > pt.X) result = 1 - result; else { double d = (double)(ip.X - pt.X) * (ipNext.Y - pt.Y) - (double)(ipNext.X - pt.X) * (ip.Y - pt.Y); if (!d) return -1; if ((d > 0) == (ipNext.Y > ip.Y)) result = 1 - result; } } else { if (ipNext.X > pt.X) { double d = (double)(ip.X - pt.X) * (ipNext.Y - pt.Y) - (double)(ipNext.X - pt.X) * (ip.Y - pt.Y); if (!d) return -1; if ((d > 0) == (ipNext.Y > ip.Y)) result = 1 - result; } } } ip = ipNext; } return result; } //------------------------------------------------------------------------------ int PointInPolygon (const IntPoint &pt, OutPt *op) { //returns 0 if false, +1 if true, -1 if pt ON polygon boundary //http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.88.5498&rep=rep1&type=pdf int result = 0; OutPt* startOp = op; for(;;) { if (op->Next->Pt.Y == pt.Y) { if ((op->Next->Pt.X == pt.X) || (op->Pt.Y == pt.Y && ((op->Next->Pt.X > pt.X) == (op->Pt.X < pt.X)))) return -1; } if ((op->Pt.Y < pt.Y) != (op->Next->Pt.Y < pt.Y)) { if (op->Pt.X >= pt.X) { if (op->Next->Pt.X > pt.X) result = 1 - result; else { double d = (double)(op->Pt.X - pt.X) * (op->Next->Pt.Y - pt.Y) - (double)(op->Next->Pt.X - pt.X) * (op->Pt.Y - pt.Y); if (!d) return -1; if ((d > 0) == (op->Next->Pt.Y > op->Pt.Y)) result = 1 - result; } } else { if (op->Next->Pt.X > pt.X) { double d = (double)(op->Pt.X - pt.X) * (op->Next->Pt.Y - pt.Y) - (double)(op->Next->Pt.X - pt.X) * (op->Pt.Y - pt.Y); if (!d) return -1; if ((d > 0) == (op->Next->Pt.Y > op->Pt.Y)) result = 1 - result; } } } op = op->Next; if (startOp == op) break; } return result; } //------------------------------------------------------------------------------ bool Poly2ContainsPoly1(OutPt *OutPt1, OutPt *OutPt2) { OutPt* op = OutPt1; do { int res = PointInPolygon(op->Pt, OutPt2); if (res >= 0) return res != 0; op = op->Next; } while (op != OutPt1); return true; } //---------------------------------------------------------------------- bool SlopesEqual(const TEdge &e1, const TEdge &e2, bool UseFullInt64Range) { #ifndef use_int32 if (UseFullInt64Range) return Int128Mul(e1.Delta.Y, e2.Delta.X) == Int128Mul(e1.Delta.X, e2.Delta.Y); else #endif return e1.Delta.Y * e2.Delta.X == e1.Delta.X * e2.Delta.Y; } //------------------------------------------------------------------------------ bool SlopesEqual(const IntPoint pt1, const IntPoint pt2, const IntPoint pt3, bool UseFullInt64Range) { #ifndef use_int32 if (UseFullInt64Range) return Int128Mul(pt1.Y-pt2.Y, pt2.X-pt3.X) == Int128Mul(pt1.X-pt2.X, pt2.Y-pt3.Y); else #endif return (pt1.Y-pt2.Y)*(pt2.X-pt3.X) == (pt1.X-pt2.X)*(pt2.Y-pt3.Y); } //------------------------------------------------------------------------------ bool SlopesEqual(const IntPoint pt1, const IntPoint pt2, const IntPoint pt3, const IntPoint pt4, bool UseFullInt64Range) { #ifndef use_int32 if (UseFullInt64Range) return Int128Mul(pt1.Y-pt2.Y, pt3.X-pt4.X) == Int128Mul(pt1.X-pt2.X, pt3.Y-pt4.Y); else #endif return (pt1.Y-pt2.Y)*(pt3.X-pt4.X) == (pt1.X-pt2.X)*(pt3.Y-pt4.Y); } //------------------------------------------------------------------------------ inline bool IsHorizontal(TEdge &e) { return e.Delta.Y == 0; } //------------------------------------------------------------------------------ inline double GetDx(const IntPoint pt1, const IntPoint pt2) { return (pt1.Y == pt2.Y) ? HORIZONTAL : (double)(pt2.X - pt1.X) / (pt2.Y - pt1.Y); } //--------------------------------------------------------------------------- inline void SetDx(TEdge &e) { e.Delta.X = (e.Top.X - e.Bot.X); e.Delta.Y = (e.Top.Y - e.Bot.Y); if (e.Delta.Y == 0) e.Dx = HORIZONTAL; else e.Dx = (double)(e.Delta.X) / e.Delta.Y; } //--------------------------------------------------------------------------- inline void SwapSides(TEdge &Edge1, TEdge &Edge2) { EdgeSide Side = Edge1.Side; Edge1.Side = Edge2.Side; Edge2.Side = Side; } //------------------------------------------------------------------------------ inline void SwapPolyIndexes(TEdge &Edge1, TEdge &Edge2) { int OutIdx = Edge1.OutIdx; Edge1.OutIdx = Edge2.OutIdx; Edge2.OutIdx = OutIdx; } //------------------------------------------------------------------------------ inline cInt TopX(TEdge &edge, const cInt currentY) { return ( currentY == edge.Top.Y ) ? edge.Top.X : edge.Bot.X + Round(edge.Dx *(currentY - edge.Bot.Y)); } //------------------------------------------------------------------------------ bool IntersectPoint(TEdge &Edge1, TEdge &Edge2, IntPoint &ip, bool UseFullInt64Range) { #ifdef use_xyz ip.Z = 0; #endif double b1, b2; //nb: with very large coordinate values, it's possible for SlopesEqual() to //return false but for the edge.Dx value be equal due to double precision rounding. if (SlopesEqual(Edge1, Edge2, UseFullInt64Range) || Edge1.Dx == Edge2.Dx) { if (Edge2.Bot.Y > Edge1.Bot.Y) ip = Edge2.Bot; else ip = Edge1.Bot; return false; } else if (Edge1.Delta.X == 0) { ip.X = Edge1.Bot.X; if (IsHorizontal(Edge2)) ip.Y = Edge2.Bot.Y; else { b2 = Edge2.Bot.Y - (Edge2.Bot.X / Edge2.Dx); ip.Y = Round(ip.X / Edge2.Dx + b2); } } else if (Edge2.Delta.X == 0) { ip.X = Edge2.Bot.X; if (IsHorizontal(Edge1)) ip.Y = Edge1.Bot.Y; else { b1 = Edge1.Bot.Y - (Edge1.Bot.X / Edge1.Dx); ip.Y = Round(ip.X / Edge1.Dx + b1); } } else { b1 = Edge1.Bot.X - Edge1.Bot.Y * Edge1.Dx; b2 = Edge2.Bot.X - Edge2.Bot.Y * Edge2.Dx; double q = (b2-b1) / (Edge1.Dx - Edge2.Dx); ip.Y = Round(q); if (std::fabs(Edge1.Dx) < std::fabs(Edge2.Dx)) ip.X = Round(Edge1.Dx * q + b1); else ip.X = Round(Edge2.Dx * q + b2); } if (ip.Y < Edge1.Top.Y || ip.Y < Edge2.Top.Y) { if (Edge1.Top.Y > Edge2.Top.Y) ip.Y = Edge1.Top.Y; else ip.Y = Edge2.Top.Y; if (std::fabs(Edge1.Dx) < std::fabs(Edge2.Dx)) ip.X = TopX(Edge1, ip.Y); else ip.X = TopX(Edge2, ip.Y); } return true; } //------------------------------------------------------------------------------ void ReversePolyPtLinks(OutPt *pp) { if (!pp) return; OutPt *pp1, *pp2; pp1 = pp; do { pp2 = pp1->Next; pp1->Next = pp1->Prev; pp1->Prev = pp2; pp1 = pp2; } while( pp1 != pp ); } //------------------------------------------------------------------------------ void DisposeOutPts(OutPt*& pp) { if (pp == 0) return; pp->Prev->Next = 0; while( pp ) { OutPt *tmpPp = pp; pp = pp->Next; delete tmpPp; } } //------------------------------------------------------------------------------ inline void InitEdge(TEdge* e, TEdge* eNext, TEdge* ePrev, const IntPoint& Pt) { std::memset(e, 0, sizeof(TEdge)); e->Next = eNext; e->Prev = ePrev; e->Curr = Pt; e->OutIdx = Unassigned; } //------------------------------------------------------------------------------ void InitEdge2(TEdge& e, PolyType Pt) { if (e.Curr.Y >= e.Next->Curr.Y) { e.Bot = e.Curr; e.Top = e.Next->Curr; } else { e.Top = e.Curr; e.Bot = e.Next->Curr; } SetDx(e); e.PolyTyp = Pt; } //------------------------------------------------------------------------------ TEdge* RemoveEdge(TEdge* e) { //removes e from double_linked_list (but without removing from memory) e->Prev->Next = e->Next; e->Next->Prev = e->Prev; TEdge* result = e->Next; e->Prev = 0; //flag as removed (see ClipperBase.Clear) return result; } //------------------------------------------------------------------------------ inline void ReverseHorizontal(TEdge &e) { //swap horizontal edges' Top and Bottom x's so they follow the natural //progression of the bounds - ie so their xbots will align with the //adjoining lower edge. [Helpful in the ProcessHorizontal() method.] cInt tmp = e.Top.X; e.Top.X = e.Bot.X; e.Bot.X = tmp; #ifdef use_xyz tmp = e.Top.Z; e.Top.Z = e.Bot.Z; e.Bot.Z = tmp; #endif } //------------------------------------------------------------------------------ void SwapPoints(IntPoint &pt1, IntPoint &pt2) { IntPoint tmp = pt1; pt1 = pt2; pt2 = tmp; } //------------------------------------------------------------------------------ bool GetOverlapSegment(IntPoint pt1a, IntPoint pt1b, IntPoint pt2a, IntPoint pt2b, IntPoint &pt1, IntPoint &pt2) { //precondition: segments are Collinear. if (Abs(pt1a.X - pt1b.X) > Abs(pt1a.Y - pt1b.Y)) { if (pt1a.X > pt1b.X) SwapPoints(pt1a, pt1b); if (pt2a.X > pt2b.X) SwapPoints(pt2a, pt2b); if (pt1a.X > pt2a.X) pt1 = pt1a; else pt1 = pt2a; if (pt1b.X < pt2b.X) pt2 = pt1b; else pt2 = pt2b; return pt1.X < pt2.X; } else { if (pt1a.Y < pt1b.Y) SwapPoints(pt1a, pt1b); if (pt2a.Y < pt2b.Y) SwapPoints(pt2a, pt2b); if (pt1a.Y < pt2a.Y) pt1 = pt1a; else pt1 = pt2a; if (pt1b.Y > pt2b.Y) pt2 = pt1b; else pt2 = pt2b; return pt1.Y > pt2.Y; } } //------------------------------------------------------------------------------ bool FirstIsBottomPt(const OutPt* btmPt1, const OutPt* btmPt2) { OutPt *p = btmPt1->Prev; while ((p->Pt == btmPt1->Pt) && (p != btmPt1)) p = p->Prev; double dx1p = std::fabs(GetDx(btmPt1->Pt, p->Pt)); p = btmPt1->Next; while ((p->Pt == btmPt1->Pt) && (p != btmPt1)) p = p->Next; double dx1n = std::fabs(GetDx(btmPt1->Pt, p->Pt)); p = btmPt2->Prev; while ((p->Pt == btmPt2->Pt) && (p != btmPt2)) p = p->Prev; double dx2p = std::fabs(GetDx(btmPt2->Pt, p->Pt)); p = btmPt2->Next; while ((p->Pt == btmPt2->Pt) && (p != btmPt2)) p = p->Next; double dx2n = std::fabs(GetDx(btmPt2->Pt, p->Pt)); return (dx1p >= dx2p && dx1p >= dx2n) || (dx1n >= dx2p && dx1n >= dx2n); } //------------------------------------------------------------------------------ OutPt* GetBottomPt(OutPt *pp) { OutPt* dups = 0; OutPt* p = pp->Next; while (p != pp) { if (p->Pt.Y > pp->Pt.Y) { pp = p; dups = 0; } else if (p->Pt.Y == pp->Pt.Y && p->Pt.X <= pp->Pt.X) { if (p->Pt.X < pp->Pt.X) { dups = 0; pp = p; } else { if (p->Next != pp && p->Prev != pp) dups = p; } } p = p->Next; } if (dups) { //there appears to be at least 2 vertices at BottomPt so ... while (dups != p) { if (!FirstIsBottomPt(p, dups)) pp = dups; dups = dups->Next; while (dups->Pt != pp->Pt) dups = dups->Next; } } return pp; } //------------------------------------------------------------------------------ bool FindSegment(OutPt* &pp, bool UseFullInt64Range, IntPoint &pt1, IntPoint &pt2) { //OutPt1 & OutPt2 => the overlap segment (if the function returns true) if (!pp) return false; OutPt* pp2 = pp; IntPoint pt1a = pt1, pt2a = pt2; do { if (SlopesEqual(pt1a, pt2a, pp->Pt, pp->Prev->Pt, UseFullInt64Range) && SlopesEqual(pt1a, pt2a, pp->Pt, UseFullInt64Range) && GetOverlapSegment(pt1a, pt2a, pp->Pt, pp->Prev->Pt, pt1, pt2)) return true; pp = pp->Next; } while (pp != pp2); return false; } //------------------------------------------------------------------------------ bool Pt2IsBetweenPt1AndPt3(const IntPoint pt1, const IntPoint pt2, const IntPoint pt3) { if ((pt1 == pt3) || (pt1 == pt2) || (pt3 == pt2)) return false; else if (pt1.X != pt3.X) return (pt2.X > pt1.X) == (pt2.X < pt3.X); else return (pt2.Y > pt1.Y) == (pt2.Y < pt3.Y); } //------------------------------------------------------------------------------ OutPt* InsertPolyPtBetween(OutPt* p1, OutPt* p2, const IntPoint Pt) { if (p1 == p2) THROW("JoinError"); OutPt* result = new OutPt; result->Pt = Pt; if (p2 == p1->Next) { p1->Next = result; p2->Prev = result; result->Next = p2; result->Prev = p1; } else { p2->Next = result; p1->Prev = result; result->Next = p1; result->Prev = p2; } return result; } //------------------------------------------------------------------------------ bool HorzSegmentsOverlap(const IntPoint& pt1a, const IntPoint& pt1b, const IntPoint& pt2a, const IntPoint& pt2b) { //precondition: both segments are horizontal if ((pt1a.X > pt2a.X) == (pt1a.X < pt2b.X)) return true; else if ((pt1b.X > pt2a.X) == (pt1b.X < pt2b.X)) return true; else if ((pt2a.X > pt1a.X) == (pt2a.X < pt1b.X)) return true; else if ((pt2b.X > pt1a.X) == (pt2b.X < pt1b.X)) return true; else if ((pt1a.X == pt2a.X) && (pt1b.X == pt2b.X)) return true; else if ((pt1a.X == pt2b.X) && (pt1b.X == pt2a.X)) return true; else return false; } //------------------------------------------------------------------------------ // ClipperBase class methods ... //------------------------------------------------------------------------------ ClipperBase::ClipperBase() //constructor { m_MinimaList = 0; m_CurrentLM = 0; m_UseFullRange = false; } //------------------------------------------------------------------------------ ClipperBase::~ClipperBase() //destructor { Clear(); } //------------------------------------------------------------------------------ void RangeTest(const IntPoint& Pt, bool& useFullRange) { if (useFullRange) { if (Pt.X > hiRange || Pt.Y > hiRange || -Pt.X > hiRange || -Pt.Y > hiRange) THROW("Coordinate outside allowed range"); } else if (Pt.X > loRange|| Pt.Y > loRange || -Pt.X > loRange || -Pt.Y > loRange) { useFullRange = true; RangeTest(Pt, useFullRange); } } //------------------------------------------------------------------------------ TEdge* FindNextLocMin(TEdge* E) { for (;;) { while (E->Bot != E->Prev->Bot || E->Curr == E->Top) E = E->Next; if (!IsHorizontal(*E) && !IsHorizontal(*E->Prev)) break; while (IsHorizontal(*E->Prev)) E = E->Prev; TEdge* E2 = E; while (IsHorizontal(*E)) E = E->Next; if (E->Top.Y == E->Prev->Bot.Y) continue; //ie just an intermediate horz. if (E2->Prev->Bot.X < E->Bot.X) E = E2; break; } return E; } //------------------------------------------------------------------------------ TEdge* ClipperBase::ProcessBound(TEdge* E, bool IsClockwise) { TEdge *EStart = E, *Result = E; TEdge *Horz = 0; cInt StartX; if (IsHorizontal(*E)) { //it's possible for adjacent overlapping horz edges to start heading left //before finishing right, so ... if (IsClockwise) StartX = E->Prev->Bot.X; else StartX = E->Next->Bot.X; if (E->Bot.X != StartX) ReverseHorizontal(*E); } if (Result->OutIdx != Skip) { if (IsClockwise) { while (Result->Top.Y == Result->Next->Bot.Y && Result->Next->OutIdx != Skip) Result = Result->Next; if (IsHorizontal(*Result) && Result->Next->OutIdx != Skip) { //nb: at the top of a bound, horizontals are added to the bound //only when the preceding edge attaches to the horizontal's left vertex //unless a Skip edge is encountered when that becomes the top divide Horz = Result; while (IsHorizontal(*Horz->Prev)) Horz = Horz->Prev; if (Horz->Prev->Top.X == Result->Next->Top.X) { if (!IsClockwise) Result = Horz->Prev; } else if (Horz->Prev->Top.X > Result->Next->Top.X) Result = Horz->Prev; } while (E != Result) { E->NextInLML = E->Next; if (IsHorizontal(*E) && E != EStart && E->Bot.X != E->Prev->Top.X) ReverseHorizontal(*E); E = E->Next; } if (IsHorizontal(*E) && E != EStart && E->Bot.X != E->Prev->Top.X) ReverseHorizontal(*E); Result = Result->Next; //move to the edge just beyond current bound } else { while (Result->Top.Y == Result->Prev->Bot.Y && Result->Prev->OutIdx != Skip) Result = Result->Prev; if (IsHorizontal(*Result) && Result->Prev->OutIdx != Skip) { Horz = Result; while (IsHorizontal(*Horz->Next)) Horz = Horz->Next; if (Horz->Next->Top.X == Result->Prev->Top.X) { if (!IsClockwise) Result = Horz->Next; } else if (Horz->Next->Top.X > Result->Prev->Top.X) Result = Horz->Next; } while (E != Result) { E->NextInLML = E->Prev; if (IsHorizontal(*E) && E != EStart && E->Bot.X != E->Next->Top.X) ReverseHorizontal(*E); E = E->Prev; } if (IsHorizontal(*E) && E != EStart && E->Bot.X != E->Next->Top.X) ReverseHorizontal(*E); Result = Result->Prev; //move to the edge just beyond current bound } } if (Result->OutIdx == Skip) { //if edges still remain in the current bound beyond the skip edge then //create another LocMin and call ProcessBound once more E = Result; if (IsClockwise) { while (E->Top.Y == E->Next->Bot.Y) E = E->Next; //don't include top horizontals when parsing a bound a second time, //they will be contained in the opposite bound ... while (E != Result && IsHorizontal(*E)) E = E->Prev; } else { while (E->Top.Y == E->Prev->Bot.Y) E = E->Prev; while (E != Result && IsHorizontal(*E)) E = E->Next; } if (E == Result) { if (IsClockwise) Result = E->Next; else Result = E->Prev; } else { //there are more edges in the bound beyond result starting with E if (IsClockwise) E = Result->Next; else E = Result->Prev; LocalMinima* locMin = new LocalMinima; locMin->Next = 0; locMin->Y = E->Bot.Y; locMin->LeftBound = 0; locMin->RightBound = E; locMin->RightBound->WindDelta = 0; Result = ProcessBound(locMin->RightBound, IsClockwise); InsertLocalMinima(locMin); } } return Result; } //------------------------------------------------------------------------------ bool ClipperBase::AddPath(const Path &pg, PolyType PolyTyp, bool Closed) { #ifdef use_lines if (!Closed && PolyTyp == ptClip) THROWCLIPPER("AddPath: Open paths must be subject."); #else if (!Closed) THROWCLIPPER("AddPath: Open paths have been disabled."); #endif int highI = (int)pg.size() -1; if (Closed) while (highI > 0 && (pg[highI] == pg[0])) --highI; while (highI > 0 && (pg[highI] == pg[highI -1])) --highI; if ((Closed && highI < 2) || (!Closed && highI < 1)) return false; //create a new edge array ... TEdge *edges = new TEdge [highI +1]; bool IsFlat = true; //1. Basic (first) edge initialization ... try { edges[1].Curr = pg[1]; RangeTest(pg[0], m_UseFullRange); RangeTest(pg[highI], m_UseFullRange); InitEdge(&edges[0], &edges[1], &edges[highI], pg[0]); InitEdge(&edges[highI], &edges[0], &edges[highI-1], pg[highI]); for (int i = highI - 1; i >= 1; --i) { RangeTest(pg[i], m_UseFullRange); InitEdge(&edges[i], &edges[i+1], &edges[i-1], pg[i]); } } catch(...) { delete [] edges; THROWBLANK("range test fails"); } TEdge *eStart = &edges[0]; //2. Remove duplicate vertices, and (when closed) collinear edges ... TEdge *E = eStart, *eLoopStop = eStart; for (;;) { if ((E->Curr == E->Next->Curr)) { if (E == E->Next) break; if (E == eStart) eStart = E->Next; E = RemoveEdge(E); eLoopStop = E; continue; } if (E->Prev == E->Next) break; //only two vertices else if (Closed && SlopesEqual(E->Prev->Curr, E->Curr, E->Next->Curr, m_UseFullRange) && (!m_PreserveCollinear || !Pt2IsBetweenPt1AndPt3(E->Prev->Curr, E->Curr, E->Next->Curr))) { //Collinear edges are allowed for open paths but in closed paths //the default is to merge adjacent collinear edges into a single edge. //However, if the PreserveCollinear property is enabled, only overlapping //collinear edges (ie spikes) will be removed from closed paths. if (E == eStart) eStart = E->Next; E = RemoveEdge(E); E = E->Prev; eLoopStop = E; continue; } E = E->Next; if (E == eLoopStop) break; } if ((!Closed && (E == E->Next)) || (Closed && (E->Prev == E->Next))) { delete [] edges; return false; } if (!Closed) { m_HasOpenPaths = true; eStart->Prev->OutIdx = Skip; } //3. Do second stage of edge initialization ... E = eStart; do { InitEdge2(*E, PolyTyp); E = E->Next; if (IsFlat && E->Curr.Y != eStart->Curr.Y) IsFlat = false; } while (E != eStart); //4. Finally, add edge bounds to LocalMinima list ... //Totally flat paths must be handled differently when adding them //to LocalMinima list to avoid endless loops etc ... if (IsFlat) { if (Closed) { delete [] edges; return false; } E->Prev->OutIdx = Skip; if (E->Prev->Bot.X < E->Prev->Top.X) ReverseHorizontal(*E->Prev); LocalMinima* locMin = new LocalMinima(); locMin->Next = 0; locMin->Y = E->Bot.Y; locMin->LeftBound = 0; locMin->RightBound = E; locMin->RightBound->Side = esRight; locMin->RightBound->WindDelta = 0; while (E->Next->OutIdx != Skip) { E->NextInLML = E->Next; if (E->Bot.X != E->Prev->Top.X) ReverseHorizontal(*E); E = E->Next; } InsertLocalMinima(locMin); m_edges.push_back(edges); return true; } m_edges.push_back(edges); bool clockwise; TEdge* EMin = 0; for (;;) { E = FindNextLocMin(E); if (E == EMin) break; else if (!EMin) EMin = E; //E and E.Prev now share a local minima (left aligned if horizontal). //Compare their slopes to find which starts which bound ... LocalMinima* locMin = new LocalMinima; locMin->Next = 0; locMin->Y = E->Bot.Y; if (E->Dx < E->Prev->Dx) { locMin->LeftBound = E->Prev; locMin->RightBound = E; clockwise = false; //Q.nextInLML = Q.prev } else { locMin->LeftBound = E; locMin->RightBound = E->Prev; clockwise = true; //Q.nextInLML = Q.next } locMin->LeftBound->Side = esLeft; locMin->RightBound->Side = esRight; if (!Closed) locMin->LeftBound->WindDelta = 0; else if (locMin->LeftBound->Next == locMin->RightBound) locMin->LeftBound->WindDelta = -1; else locMin->LeftBound->WindDelta = 1; locMin->RightBound->WindDelta = -locMin->LeftBound->WindDelta; E = ProcessBound(locMin->LeftBound, clockwise); TEdge* E2 = ProcessBound(locMin->RightBound, !clockwise); if (locMin->LeftBound->OutIdx == Skip) locMin->LeftBound = 0; else if (locMin->RightBound->OutIdx == Skip) locMin->RightBound = 0; InsertLocalMinima(locMin); if (!clockwise) E = E2; } return true; } //------------------------------------------------------------------------------ bool ClipperBase::AddPaths(const Paths &ppg, PolyType PolyTyp, bool Closed) { bool result = false; for (Paths::size_type i = 0; i < ppg.size(); ++i) if (AddPath(ppg[i], PolyTyp, Closed)) result = true; return result; } //------------------------------------------------------------------------------ void ClipperBase::InsertLocalMinima(LocalMinima *newLm) { if( ! m_MinimaList ) { m_MinimaList = newLm; } else if( newLm->Y >= m_MinimaList->Y ) { newLm->Next = m_MinimaList; m_MinimaList = newLm; } else { LocalMinima* tmpLm = m_MinimaList; while( tmpLm->Next && ( newLm->Y < tmpLm->Next->Y ) ) tmpLm = tmpLm->Next; newLm->Next = tmpLm->Next; tmpLm->Next = newLm; } } //------------------------------------------------------------------------------ void ClipperBase::Clear() { DisposeLocalMinimaList(); for (EdgeList::size_type i = 0; i < m_edges.size(); ++i) { //for each edge array in turn, find the first used edge and //check for and remove any hiddenPts in each edge in the array. TEdge* edges = m_edges[i]; delete [] edges; } m_edges.clear(); m_UseFullRange = false; m_HasOpenPaths = false; } //------------------------------------------------------------------------------ void ClipperBase::Reset() { m_CurrentLM = m_MinimaList; if( !m_CurrentLM ) return; //ie nothing to process //reset all edges ... LocalMinima* lm = m_MinimaList; while( lm ) { TEdge* e = lm->LeftBound; if (e) { e->Curr = e->Bot; e->Side = esLeft; e->OutIdx = Unassigned; } e = lm->RightBound; if (e) { e->Curr = e->Bot; e->Side = esRight; e->OutIdx = Unassigned; } lm = lm->Next; } } //------------------------------------------------------------------------------ void ClipperBase::DisposeLocalMinimaList() { while( m_MinimaList ) { LocalMinima* tmpLm = m_MinimaList->Next; delete m_MinimaList; m_MinimaList = tmpLm; } m_CurrentLM = 0; } //------------------------------------------------------------------------------ void ClipperBase::PopLocalMinima() { if( ! m_CurrentLM ) return; m_CurrentLM = m_CurrentLM->Next; } //------------------------------------------------------------------------------ IntRect ClipperBase::GetBounds() { IntRect result; LocalMinima* lm = m_MinimaList; if (!lm) { result.left = result.top = result.right = result.bottom = 0; return result; } result.left = lm->LeftBound->Bot.X; result.top = lm->LeftBound->Bot.Y; result.right = lm->LeftBound->Bot.X; result.bottom = lm->LeftBound->Bot.Y; while (lm) { if (lm->LeftBound->Bot.Y > result.bottom) result.bottom = lm->LeftBound->Bot.Y; TEdge* e = lm->LeftBound; for (;;) { TEdge* bottomE = e; while (e->NextInLML) { if (e->Bot.X < result.left) result.left = e->Bot.X; if (e->Bot.X > result.right) result.right = e->Bot.X; e = e->NextInLML; } if (e->Bot.X < result.left) result.left = e->Bot.X; if (e->Bot.X > result.right) result.right = e->Bot.X; if (e->Top.X < result.left) result.left = e->Top.X; if (e->Top.X > result.right) result.right = e->Top.X; if (e->Top.Y < result.top) result.top = e->Top.Y; if (bottomE == lm->LeftBound) e = lm->RightBound; else break; } lm = lm->Next; } return result; } //------------------------------------------------------------------------------ // TClipper methods ... //------------------------------------------------------------------------------ Clipper::Clipper(int initOptions) : ClipperBase() //constructor { m_ActiveEdges = 0; m_SortedEdges = 0; m_ExecuteLocked = false; m_UseFullRange = false; m_ReverseOutput = ((initOptions & ioReverseSolution) != 0); m_StrictSimple = ((initOptions & ioStrictlySimple) != 0); m_PreserveCollinear = ((initOptions & ioPreserveCollinear) != 0); m_HasOpenPaths = false; #ifdef use_xyz m_ZFill = 0; #endif } //------------------------------------------------------------------------------ Clipper::~Clipper() //destructor { Clear(); m_Scanbeam.clear(); } //------------------------------------------------------------------------------ #ifdef use_xyz void Clipper::ZFillFunction(TZFillCallback zFillFunc) { m_ZFill = zFillFunc; } //------------------------------------------------------------------------------ #endif void Clipper::Reset() { ClipperBase::Reset(); m_Scanbeam.clear(); m_ActiveEdges = 0; m_SortedEdges = 0; LocalMinima* lm = m_MinimaList; while (lm) { InsertScanbeam(lm->Y); lm = lm->Next; } } //------------------------------------------------------------------------------ bool Clipper::Execute(ClipType clipType, Paths &solution, PolyFillType subjFillType, PolyFillType clipFillType) { if( m_ExecuteLocked ) return false; if (m_HasOpenPaths) THROWCLIPPER("Error: PolyTree struct is need for open path clipping."); m_ExecuteLocked = true; solution.resize(0); m_SubjFillType = subjFillType; m_ClipFillType = clipFillType; m_ClipType = clipType; m_UsingPolyTree = false; bool succeeded = ExecuteInternal(); if (succeeded) BuildResult(solution); DisposeAllOutRecs(); m_ExecuteLocked = false; return succeeded; } //------------------------------------------------------------------------------ bool Clipper::Execute(ClipType clipType, PolyTree& polytree, PolyFillType subjFillType, PolyFillType clipFillType) { if( m_ExecuteLocked ) return false; m_ExecuteLocked = true; m_SubjFillType = subjFillType; m_ClipFillType = clipFillType; m_ClipType = clipType; m_UsingPolyTree = true; bool succeeded = ExecuteInternal(); if (succeeded) BuildResult2(polytree); DisposeAllOutRecs(); m_ExecuteLocked = false; return succeeded; } //------------------------------------------------------------------------------ void Clipper::FixHoleLinkage(OutRec &outrec) { //skip OutRecs that (a) contain outermost polygons or //(b) already have the correct owner/child linkage ... if (!outrec.FirstLeft || (outrec.IsHole != outrec.FirstLeft->IsHole && outrec.FirstLeft->Pts)) return; OutRec* orfl = outrec.FirstLeft; while (orfl && ((orfl->IsHole == outrec.IsHole) || !orfl->Pts)) orfl = orfl->FirstLeft; outrec.FirstLeft = orfl; } //------------------------------------------------------------------------------ bool Clipper::ExecuteInternal() { bool succeeded = true; try { Reset(); if (!m_CurrentLM) return false; cInt botY = PopScanbeam(); do { InsertLocalMinimaIntoAEL(botY); ClearGhostJoins(); ProcessHorizontals(false); if (m_Scanbeam.empty()) break; cInt topY = PopScanbeam(); succeeded = ProcessIntersections(botY, topY); if (!succeeded) break; ProcessEdgesAtTopOfScanbeam(topY); botY = topY; } while (!m_Scanbeam.empty() || m_CurrentLM); } catch(...) { succeeded = false; } if (succeeded) { //fix orientations ... for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) { OutRec *outRec = m_PolyOuts[i]; if (!outRec->Pts || outRec->IsOpen) continue; if ((outRec->IsHole ^ m_ReverseOutput) == (Area(*outRec) > 0)) ReversePolyPtLinks(outRec->Pts); } if (!m_Joins.empty()) JoinCommonEdges(); //unfortunately FixupOutPolygon() must be done after JoinCommonEdges() for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) { OutRec *outRec = m_PolyOuts[i]; if (outRec->Pts && !outRec->IsOpen) FixupOutPolygon(*outRec); } if (m_StrictSimple) DoSimplePolygons(); } ClearJoins(); ClearGhostJoins(); return succeeded; } //------------------------------------------------------------------------------ void Clipper::InsertScanbeam(const cInt Y) { m_Scanbeam.insert(Y); } //------------------------------------------------------------------------------ cInt Clipper::PopScanbeam() { cInt Y = *m_Scanbeam.begin(); m_Scanbeam.erase(m_Scanbeam.begin()); return Y; } //------------------------------------------------------------------------------ void Clipper::DisposeAllOutRecs(){ for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) DisposeOutRec(i); m_PolyOuts.clear(); } //------------------------------------------------------------------------------ void Clipper::DisposeOutRec(PolyOutList::size_type index) { OutRec *outRec = m_PolyOuts[index]; if (outRec->Pts) DisposeOutPts(outRec->Pts); delete outRec; m_PolyOuts[index] = 0; } //------------------------------------------------------------------------------ void Clipper::SetWindingCount(TEdge &edge) { TEdge *e = edge.PrevInAEL; //find the edge of the same polytype that immediately preceeds 'edge' in AEL while (e && ((e->PolyTyp != edge.PolyTyp) || (e->WindDelta == 0))) e = e->PrevInAEL; if (!e) { edge.WindCnt = (edge.WindDelta == 0 ? 1 : edge.WindDelta); edge.WindCnt2 = 0; e = m_ActiveEdges; //ie get ready to calc WindCnt2 } else if (edge.WindDelta == 0 && m_ClipType != ctUnion) { edge.WindCnt = 1; edge.WindCnt2 = e->WindCnt2; e = e->NextInAEL; //ie get ready to calc WindCnt2 } else if (IsEvenOddFillType(edge)) { //EvenOdd filling ... if (edge.WindDelta == 0) { //are we inside a subj polygon ... bool Inside = true; TEdge *e2 = e->PrevInAEL; while (e2) { if (e2->PolyTyp == e->PolyTyp && e2->WindDelta != 0) Inside = !Inside; e2 = e2->PrevInAEL; } edge.WindCnt = (Inside ? 0 : 1); } else { edge.WindCnt = edge.WindDelta; } edge.WindCnt2 = e->WindCnt2; e = e->NextInAEL; //ie get ready to calc WindCnt2 } else { //nonZero, Positive or Negative filling ... if (e->WindCnt * e->WindDelta < 0) { //prev edge is 'decreasing' WindCount (WC) toward zero //so we're outside the previous polygon ... if (Abs(e->WindCnt) > 1) { //outside prev poly but still inside another. //when reversing direction of prev poly use the same WC if (e->WindDelta * edge.WindDelta < 0) edge.WindCnt = e->WindCnt; //otherwise continue to 'decrease' WC ... else edge.WindCnt = e->WindCnt + edge.WindDelta; } else //now outside all polys of same polytype so set own WC ... edge.WindCnt = (edge.WindDelta == 0 ? 1 : edge.WindDelta); } else { //prev edge is 'increasing' WindCount (WC) away from zero //so we're inside the previous polygon ... if (edge.WindDelta == 0) edge.WindCnt = (e->WindCnt < 0 ? e->WindCnt - 1 : e->WindCnt + 1); //if wind direction is reversing prev then use same WC else if (e->WindDelta * edge.WindDelta < 0) edge.WindCnt = e->WindCnt; //otherwise add to WC ... else edge.WindCnt = e->WindCnt + edge.WindDelta; } edge.WindCnt2 = e->WindCnt2; e = e->NextInAEL; //ie get ready to calc WindCnt2 } //update WindCnt2 ... if (IsEvenOddAltFillType(edge)) { //EvenOdd filling ... while (e != &edge) { if (e->WindDelta != 0) edge.WindCnt2 = (edge.WindCnt2 == 0 ? 1 : 0); e = e->NextInAEL; } } else { //nonZero, Positive or Negative filling ... while ( e != &edge ) { edge.WindCnt2 += e->WindDelta; e = e->NextInAEL; } } } //------------------------------------------------------------------------------ bool Clipper::IsEvenOddFillType(const TEdge& edge) const { if (edge.PolyTyp == ptSubject) return m_SubjFillType == pftEvenOdd; else return m_ClipFillType == pftEvenOdd; } //------------------------------------------------------------------------------ bool Clipper::IsEvenOddAltFillType(const TEdge& edge) const { if (edge.PolyTyp == ptSubject) return m_ClipFillType == pftEvenOdd; else return m_SubjFillType == pftEvenOdd; } //------------------------------------------------------------------------------ bool Clipper::IsContributing(const TEdge& edge) const { PolyFillType pft, pft2; if (edge.PolyTyp == ptSubject) { pft = m_SubjFillType; pft2 = m_ClipFillType; } else { pft = m_ClipFillType; pft2 = m_SubjFillType; } switch(pft) { case pftEvenOdd: //return false if a subj line has been flagged as inside a subj polygon if (edge.WindDelta == 0 && edge.WindCnt != 1) return false; break; case pftNonZero: if (Abs(edge.WindCnt) != 1) return false; break; case pftPositive: if (edge.WindCnt != 1) return false; break; default: //pftNegative if (edge.WindCnt != -1) return false; } switch(m_ClipType) { case ctIntersection: switch(pft2) { case pftEvenOdd: case pftNonZero: return (edge.WindCnt2 != 0); case pftPositive: return (edge.WindCnt2 > 0); default: return (edge.WindCnt2 < 0); } break; case ctUnion: switch(pft2) { case pftEvenOdd: case pftNonZero: return (edge.WindCnt2 == 0); case pftPositive: return (edge.WindCnt2 <= 0); default: return (edge.WindCnt2 >= 0); } break; case ctDifference: if (edge.PolyTyp == ptSubject) switch(pft2) { case pftEvenOdd: case pftNonZero: return (edge.WindCnt2 == 0); case pftPositive: return (edge.WindCnt2 <= 0); default: return (edge.WindCnt2 >= 0); } else switch(pft2) { case pftEvenOdd: case pftNonZero: return (edge.WindCnt2 != 0); case pftPositive: return (edge.WindCnt2 > 0); default: return (edge.WindCnt2 < 0); } break; case ctXor: if (edge.WindDelta == 0) //XOr always contributing unless open switch(pft2) { case pftEvenOdd: case pftNonZero: return (edge.WindCnt2 == 0); case pftPositive: return (edge.WindCnt2 <= 0); default: return (edge.WindCnt2 >= 0); } else return true; break; default: return true; } } //------------------------------------------------------------------------------ OutPt* Clipper::AddLocalMinPoly(TEdge *e1, TEdge *e2, const IntPoint &Pt) { OutPt* result; TEdge *e, *prevE; if (IsHorizontal(*e2) || ( e1->Dx > e2->Dx )) { result = AddOutPt(e1, Pt); e2->OutIdx = e1->OutIdx; e1->Side = esLeft; e2->Side = esRight; e = e1; if (e->PrevInAEL == e2) prevE = e2->PrevInAEL; else prevE = e->PrevInAEL; } else { result = AddOutPt(e2, Pt); e1->OutIdx = e2->OutIdx; e1->Side = esRight; e2->Side = esLeft; e = e2; if (e->PrevInAEL == e1) prevE = e1->PrevInAEL; else prevE = e->PrevInAEL; } if (prevE && prevE->OutIdx >= 0 && (TopX(*prevE, Pt.Y) == TopX(*e, Pt.Y)) && SlopesEqual(*e, *prevE, m_UseFullRange) && (e->WindDelta != 0) && (prevE->WindDelta != 0)) { OutPt* outPt = AddOutPt(prevE, Pt); AddJoin(result, outPt, e->Top); } return result; } //------------------------------------------------------------------------------ void Clipper::AddLocalMaxPoly(TEdge *e1, TEdge *e2, const IntPoint &Pt) { AddOutPt( e1, Pt ); if (e2->WindDelta == 0) AddOutPt(e2, Pt); if( e1->OutIdx == e2->OutIdx ) { e1->OutIdx = Unassigned; e2->OutIdx = Unassigned; } else if (e1->OutIdx < e2->OutIdx) AppendPolygon(e1, e2); else AppendPolygon(e2, e1); } //------------------------------------------------------------------------------ void Clipper::AddEdgeToSEL(TEdge *edge) { //SEL pointers in PEdge are reused to build a list of horizontal edges. //However, we don't need to worry about order with horizontal edge processing. if( !m_SortedEdges ) { m_SortedEdges = edge; edge->PrevInSEL = 0; edge->NextInSEL = 0; } else { edge->NextInSEL = m_SortedEdges; edge->PrevInSEL = 0; m_SortedEdges->PrevInSEL = edge; m_SortedEdges = edge; } } //------------------------------------------------------------------------------ void Clipper::CopyAELToSEL() { TEdge* e = m_ActiveEdges; m_SortedEdges = e; while ( e ) { e->PrevInSEL = e->PrevInAEL; e->NextInSEL = e->NextInAEL; e = e->NextInAEL; } } //------------------------------------------------------------------------------ void Clipper::AddJoin(OutPt *op1, OutPt *op2, const IntPoint OffPt) { Join* j = new Join; j->OutPt1 = op1; j->OutPt2 = op2; j->OffPt = OffPt; m_Joins.push_back(j); } //------------------------------------------------------------------------------ void Clipper::ClearJoins() { for (JoinList::size_type i = 0; i < m_Joins.size(); i++) delete m_Joins[i]; m_Joins.resize(0); } //------------------------------------------------------------------------------ void Clipper::ClearGhostJoins() { for (JoinList::size_type i = 0; i < m_GhostJoins.size(); i++) delete m_GhostJoins[i]; m_GhostJoins.resize(0); } //------------------------------------------------------------------------------ void Clipper::AddGhostJoin(OutPt *op, const IntPoint OffPt) { Join* j = new Join; j->OutPt1 = op; j->OutPt2 = 0; j->OffPt = OffPt; m_GhostJoins.push_back(j); } //------------------------------------------------------------------------------ void Clipper::InsertLocalMinimaIntoAEL(const cInt botY) { while( m_CurrentLM && ( m_CurrentLM->Y == botY ) ) { TEdge* lb = m_CurrentLM->LeftBound; TEdge* rb = m_CurrentLM->RightBound; PopLocalMinima(); OutPt *Op1 = 0; if (!lb) { //nb: don't insert LB into either AEL or SEL InsertEdgeIntoAEL(rb, 0); SetWindingCount(*rb); if (IsContributing(*rb)) Op1 = AddOutPt(rb, rb->Bot); } else if (!rb) { InsertEdgeIntoAEL(lb, 0); SetWindingCount(*lb); if (IsContributing(*lb)) Op1 = AddOutPt(lb, lb->Bot); InsertScanbeam(lb->Top.Y); } else { InsertEdgeIntoAEL(lb, 0); InsertEdgeIntoAEL(rb, lb); SetWindingCount( *lb ); rb->WindCnt = lb->WindCnt; rb->WindCnt2 = lb->WindCnt2; if (IsContributing(*lb)) Op1 = AddLocalMinPoly(lb, rb, lb->Bot); InsertScanbeam(lb->Top.Y); } if (rb) { if(IsHorizontal(*rb)) AddEdgeToSEL(rb); else InsertScanbeam( rb->Top.Y ); } if (!lb || !rb) continue; //if any output polygons share an edge, they'll need joining later ... if (Op1 && IsHorizontal(*rb) && m_GhostJoins.size() > 0 && (rb->WindDelta != 0)) { for (JoinList::size_type i = 0; i < m_GhostJoins.size(); ++i) { Join* jr = m_GhostJoins[i]; //if the horizontal Rb and a 'ghost' horizontal overlap, then convert //the 'ghost' join to a real join ready for later ... if (HorzSegmentsOverlap(jr->OutPt1->Pt, jr->OffPt, rb->Bot, rb->Top)) AddJoin(jr->OutPt1, Op1, jr->OffPt); } } if (lb->OutIdx >= 0 && lb->PrevInAEL && lb->PrevInAEL->Curr.X == lb->Bot.X && lb->PrevInAEL->OutIdx >= 0 && SlopesEqual(*lb->PrevInAEL, *lb, m_UseFullRange) && (lb->WindDelta != 0) && (lb->PrevInAEL->WindDelta != 0)) { OutPt *Op2 = AddOutPt(lb->PrevInAEL, lb->Bot); AddJoin(Op1, Op2, lb->Top); } if(lb->NextInAEL != rb) { if (rb->OutIdx >= 0 && rb->PrevInAEL->OutIdx >= 0 && SlopesEqual(*rb->PrevInAEL, *rb, m_UseFullRange) && (rb->WindDelta != 0) && (rb->PrevInAEL->WindDelta != 0)) { OutPt *Op2 = AddOutPt(rb->PrevInAEL, rb->Bot); AddJoin(Op1, Op2, rb->Top); } TEdge* e = lb->NextInAEL; if (e) { while( e != rb ) { //nb: For calculating winding counts etc, IntersectEdges() assumes //that param1 will be to the Right of param2 ABOVE the intersection ... IntersectEdges(rb , e , lb->Curr); //order important here e = e->NextInAEL; } } } } } //------------------------------------------------------------------------------ void Clipper::DeleteFromAEL(TEdge *e) { TEdge* AelPrev = e->PrevInAEL; TEdge* AelNext = e->NextInAEL; if( !AelPrev && !AelNext && (e != m_ActiveEdges) ) return; //already deleted if( AelPrev ) AelPrev->NextInAEL = AelNext; else m_ActiveEdges = AelNext; if( AelNext ) AelNext->PrevInAEL = AelPrev; e->NextInAEL = 0; e->PrevInAEL = 0; } //------------------------------------------------------------------------------ void Clipper::DeleteFromSEL(TEdge *e) { TEdge* SelPrev = e->PrevInSEL; TEdge* SelNext = e->NextInSEL; if( !SelPrev && !SelNext && (e != m_SortedEdges) ) return; //already deleted if( SelPrev ) SelPrev->NextInSEL = SelNext; else m_SortedEdges = SelNext; if( SelNext ) SelNext->PrevInSEL = SelPrev; e->NextInSEL = 0; e->PrevInSEL = 0; } //------------------------------------------------------------------------------ #ifdef use_xyz void Clipper::SetZ(IntPoint& pt, TEdge& e) { pt.Z = 0; if (m_ZFill) { //put the 'preferred' point as first parameter ... if (e.OutIdx < 0) (*m_ZFill)(e.Bot, e.Top, pt); //outside a path so presume entering else (*m_ZFill)(e.Top, e.Bot, pt); //inside a path so presume exiting } } //------------------------------------------------------------------------------ #endif void Clipper::IntersectEdges(TEdge *e1, TEdge *e2, const IntPoint &Pt, bool protect) { //e1 will be to the Left of e2 BELOW the intersection. Therefore e1 is before //e2 in AEL except when e1 is being inserted at the intersection point ... bool e1stops = !protect && !e1->NextInLML && e1->Top.X == Pt.X && e1->Top.Y == Pt.Y; bool e2stops = !protect && !e2->NextInLML && e2->Top.X == Pt.X && e2->Top.Y == Pt.Y; bool e1Contributing = ( e1->OutIdx >= 0 ); bool e2Contributing = ( e2->OutIdx >= 0 ); #ifdef use_lines //if either edge is on an OPEN path ... if (e1->WindDelta == 0 || e2->WindDelta == 0) { //ignore subject-subject open path intersections UNLESS they //are both open paths, AND they are both 'contributing maximas' ... if (e1->WindDelta == 0 && e2->WindDelta == 0) { if ((e1stops || e2stops) && e1Contributing && e2Contributing) AddLocalMaxPoly(e1, e2, Pt); } //if intersecting a subj line with a subj poly ... else if (e1->PolyTyp == e2->PolyTyp && e1->WindDelta != e2->WindDelta && m_ClipType == ctUnion) { if (e1->WindDelta == 0) { if (e2Contributing) { AddOutPt(e1, Pt); if (e1Contributing) e1->OutIdx = Unassigned; } } else { if (e1Contributing) { AddOutPt(e2, Pt); if (e2Contributing) e2->OutIdx = Unassigned; } } } else if (e1->PolyTyp != e2->PolyTyp) { //toggle subj open path OutIdx on/off when Abs(clip.WndCnt) == 1 ... if ((e1->WindDelta == 0) && abs(e2->WindCnt) == 1 && (m_ClipType != ctUnion || e2->WindCnt2 == 0)) { AddOutPt(e1, Pt); if (e1Contributing) e1->OutIdx = Unassigned; } else if ((e2->WindDelta == 0) && (abs(e1->WindCnt) == 1) && (m_ClipType != ctUnion || e1->WindCnt2 == 0)) { AddOutPt(e2, Pt); if (e2Contributing) e2->OutIdx = Unassigned; } } if (e1stops) if (e1->OutIdx < 0) DeleteFromAEL(e1); else THROWCLIPPER("Error intersecting polylines"); if (e2stops) if (e2->OutIdx < 0) DeleteFromAEL(e2); else THROWCLIPPER("Error intersecting polylines"); return; } #endif //update winding counts... //assumes that e1 will be to the Right of e2 ABOVE the intersection if ( e1->PolyTyp == e2->PolyTyp ) { if ( IsEvenOddFillType( *e1) ) { int oldE1WindCnt = e1->WindCnt; e1->WindCnt = e2->WindCnt; e2->WindCnt = oldE1WindCnt; } else { if (e1->WindCnt + e2->WindDelta == 0 ) e1->WindCnt = -e1->WindCnt; else e1->WindCnt += e2->WindDelta; if ( e2->WindCnt - e1->WindDelta == 0 ) e2->WindCnt = -e2->WindCnt; else e2->WindCnt -= e1->WindDelta; } } else { if (!IsEvenOddFillType(*e2)) e1->WindCnt2 += e2->WindDelta; else e1->WindCnt2 = ( e1->WindCnt2 == 0 ) ? 1 : 0; if (!IsEvenOddFillType(*e1)) e2->WindCnt2 -= e1->WindDelta; else e2->WindCnt2 = ( e2->WindCnt2 == 0 ) ? 1 : 0; } PolyFillType e1FillType, e2FillType, e1FillType2, e2FillType2; if (e1->PolyTyp == ptSubject) { e1FillType = m_SubjFillType; e1FillType2 = m_ClipFillType; } else { e1FillType = m_ClipFillType; e1FillType2 = m_SubjFillType; } if (e2->PolyTyp == ptSubject) { e2FillType = m_SubjFillType; e2FillType2 = m_ClipFillType; } else { e2FillType = m_ClipFillType; e2FillType2 = m_SubjFillType; } cInt e1Wc, e2Wc; switch (e1FillType) { case pftPositive: e1Wc = e1->WindCnt; break; case pftNegative: e1Wc = -e1->WindCnt; break; default: e1Wc = Abs(e1->WindCnt); } switch(e2FillType) { case pftPositive: e2Wc = e2->WindCnt; break; case pftNegative: e2Wc = -e2->WindCnt; break; default: e2Wc = Abs(e2->WindCnt); } if ( e1Contributing && e2Contributing ) { if ( e1stops || e2stops || (e1Wc != 0 && e1Wc != 1) || (e2Wc != 0 && e2Wc != 1) || (e1->PolyTyp != e2->PolyTyp && m_ClipType != ctXor) ) AddLocalMaxPoly(e1, e2, Pt); else { AddOutPt(e1, Pt); AddOutPt(e2, Pt); SwapSides( *e1 , *e2 ); SwapPolyIndexes( *e1 , *e2 ); } } else if ( e1Contributing ) { if (e2Wc == 0 || e2Wc == 1) { AddOutPt(e1, Pt); SwapSides(*e1, *e2); SwapPolyIndexes(*e1, *e2); } } else if ( e2Contributing ) { if (e1Wc == 0 || e1Wc == 1) { AddOutPt(e2, Pt); SwapSides(*e1, *e2); SwapPolyIndexes(*e1, *e2); } } else if ( (e1Wc == 0 || e1Wc == 1) && (e2Wc == 0 || e2Wc == 1) && !e1stops && !e2stops ) { //neither edge is currently contributing ... cInt e1Wc2, e2Wc2; switch (e1FillType2) { case pftPositive: e1Wc2 = e1->WindCnt2; break; case pftNegative : e1Wc2 = -e1->WindCnt2; break; default: e1Wc2 = Abs(e1->WindCnt2); } switch (e2FillType2) { case pftPositive: e2Wc2 = e2->WindCnt2; break; case pftNegative: e2Wc2 = -e2->WindCnt2; break; default: e2Wc2 = Abs(e2->WindCnt2); } if (e1->PolyTyp != e2->PolyTyp) AddLocalMinPoly(e1, e2, Pt); else if (e1Wc == 1 && e2Wc == 1) switch( m_ClipType ) { case ctIntersection: if (e1Wc2 > 0 && e2Wc2 > 0) AddLocalMinPoly(e1, e2, Pt); break; case ctUnion: if ( e1Wc2 <= 0 && e2Wc2 <= 0 ) AddLocalMinPoly(e1, e2, Pt); break; case ctDifference: if (((e1->PolyTyp == ptClip) && (e1Wc2 > 0) && (e2Wc2 > 0)) || ((e1->PolyTyp == ptSubject) && (e1Wc2 <= 0) && (e2Wc2 <= 0))) AddLocalMinPoly(e1, e2, Pt); break; case ctXor: AddLocalMinPoly(e1, e2, Pt); } else SwapSides( *e1, *e2 ); } if( (e1stops != e2stops) && ( (e1stops && (e1->OutIdx >= 0)) || (e2stops && (e2->OutIdx >= 0)) ) ) { SwapSides( *e1, *e2 ); SwapPolyIndexes( *e1, *e2 ); } //finally, delete any non-contributing maxima edges ... if( e1stops ) DeleteFromAEL( e1 ); if( e2stops ) DeleteFromAEL( e2 ); } //------------------------------------------------------------------------------ void Clipper::SetHoleState(TEdge *e, OutRec *outrec) { bool IsHole = false; TEdge *e2 = e->PrevInAEL; while (e2) { if (e2->OutIdx >= 0 && e2->WindDelta != 0) { IsHole = !IsHole; if (! outrec->FirstLeft) outrec->FirstLeft = m_PolyOuts[e2->OutIdx]; } e2 = e2->PrevInAEL; } if (IsHole) outrec->IsHole = true; } //------------------------------------------------------------------------------ OutRec* GetLowermostRec(OutRec *outRec1, OutRec *outRec2) { //work out which polygon fragment has the correct hole state ... if (!outRec1->BottomPt) outRec1->BottomPt = GetBottomPt(outRec1->Pts); if (!outRec2->BottomPt) outRec2->BottomPt = GetBottomPt(outRec2->Pts); OutPt *OutPt1 = outRec1->BottomPt; OutPt *OutPt2 = outRec2->BottomPt; if (OutPt1->Pt.Y > OutPt2->Pt.Y) return outRec1; else if (OutPt1->Pt.Y < OutPt2->Pt.Y) return outRec2; else if (OutPt1->Pt.X < OutPt2->Pt.X) return outRec1; else if (OutPt1->Pt.X > OutPt2->Pt.X) return outRec2; else if (OutPt1->Next == OutPt1) return outRec2; else if (OutPt2->Next == OutPt2) return outRec1; else if (FirstIsBottomPt(OutPt1, OutPt2)) return outRec1; else return outRec2; } //------------------------------------------------------------------------------ bool Param1RightOfParam2(OutRec* outRec1, OutRec* outRec2) { do { outRec1 = outRec1->FirstLeft; if (outRec1 == outRec2) return true; } while (outRec1); return false; } //------------------------------------------------------------------------------ OutRec* Clipper::GetOutRec(int Idx) { OutRec* outrec = m_PolyOuts[Idx]; while (outrec != m_PolyOuts[outrec->Idx]) outrec = m_PolyOuts[outrec->Idx]; return outrec; } //------------------------------------------------------------------------------ void Clipper::AppendPolygon(TEdge *e1, TEdge *e2) { //get the start and ends of both output polygons ... OutRec *outRec1 = m_PolyOuts[e1->OutIdx]; OutRec *outRec2 = m_PolyOuts[e2->OutIdx]; OutRec *holeStateRec; if (Param1RightOfParam2(outRec1, outRec2)) holeStateRec = outRec2; else if (Param1RightOfParam2(outRec2, outRec1)) holeStateRec = outRec1; else holeStateRec = GetLowermostRec(outRec1, outRec2); //get the start and ends of both output polygons and //join e2 poly onto e1 poly and delete pointers to e2 ... OutPt* p1_lft = outRec1->Pts; OutPt* p1_rt = p1_lft->Prev; OutPt* p2_lft = outRec2->Pts; OutPt* p2_rt = p2_lft->Prev; EdgeSide Side; //join e2 poly onto e1 poly and delete pointers to e2 ... if( e1->Side == esLeft ) { if( e2->Side == esLeft ) { //z y x a b c ReversePolyPtLinks(p2_lft); p2_lft->Next = p1_lft; p1_lft->Prev = p2_lft; p1_rt->Next = p2_rt; p2_rt->Prev = p1_rt; outRec1->Pts = p2_rt; } else { //x y z a b c p2_rt->Next = p1_lft; p1_lft->Prev = p2_rt; p2_lft->Prev = p1_rt; p1_rt->Next = p2_lft; outRec1->Pts = p2_lft; } Side = esLeft; } else { if( e2->Side == esRight ) { //a b c z y x ReversePolyPtLinks(p2_lft); p1_rt->Next = p2_rt; p2_rt->Prev = p1_rt; p2_lft->Next = p1_lft; p1_lft->Prev = p2_lft; } else { //a b c x y z p1_rt->Next = p2_lft; p2_lft->Prev = p1_rt; p1_lft->Prev = p2_rt; p2_rt->Next = p1_lft; } Side = esRight; } outRec1->BottomPt = 0; if (holeStateRec == outRec2) { if (outRec2->FirstLeft != outRec1) outRec1->FirstLeft = outRec2->FirstLeft; outRec1->IsHole = outRec2->IsHole; } outRec2->Pts = 0; outRec2->BottomPt = 0; outRec2->FirstLeft = outRec1; int OKIdx = e1->OutIdx; int ObsoleteIdx = e2->OutIdx; e1->OutIdx = Unassigned; //nb: safe because we only get here via AddLocalMaxPoly e2->OutIdx = Unassigned; TEdge* e = m_ActiveEdges; while( e ) { if( e->OutIdx == ObsoleteIdx ) { e->OutIdx = OKIdx; e->Side = Side; break; } e = e->NextInAEL; } outRec2->Idx = outRec1->Idx; } //------------------------------------------------------------------------------ OutRec* Clipper::CreateOutRec() { OutRec* result = new OutRec; result->IsHole = false; result->IsOpen = false; result->FirstLeft = 0; result->Pts = 0; result->BottomPt = 0; result->PolyNd = 0; m_PolyOuts.push_back(result); result->Idx = (int)m_PolyOuts.size()-1; return result; } //------------------------------------------------------------------------------ OutPt* Clipper::AddOutPt(TEdge *e, const IntPoint &pt) { bool ToFront = (e->Side == esLeft); if( e->OutIdx < 0 ) { OutRec *outRec = CreateOutRec(); outRec->IsOpen = (e->WindDelta == 0); OutPt* newOp = new OutPt; outRec->Pts = newOp; newOp->Idx = outRec->Idx; newOp->Pt = pt; newOp->Next = newOp; newOp->Prev = newOp; if (!outRec->IsOpen) SetHoleState(e, outRec); #ifdef use_xyz if (pt == e->Bot) newOp->Pt = e->Bot; else if (pt == e->Top) newOp->Pt = e->Top; else SetZ(newOp->Pt, *e); #endif e->OutIdx = outRec->Idx; //nb: do this after SetZ ! return newOp; } else { OutRec *outRec = m_PolyOuts[e->OutIdx]; //OutRec.Pts is the 'Left-most' point & OutRec.Pts.Prev is the 'Right-most' OutPt* op = outRec->Pts; if (ToFront && (pt == op->Pt)) return op; else if (!ToFront && (pt == op->Prev->Pt)) return op->Prev; OutPt* newOp = new OutPt; newOp->Idx = outRec->Idx; newOp->Pt = pt; newOp->Next = op; newOp->Prev = op->Prev; newOp->Prev->Next = newOp; op->Prev = newOp; if (ToFront) outRec->Pts = newOp; #ifdef use_xyz if (pt == e->Bot) newOp->Pt = e->Bot; else if (pt == e->Top) newOp->Pt = e->Top; else SetZ(newOp->Pt, *e); #endif return newOp; } } //------------------------------------------------------------------------------ void Clipper::ProcessHorizontals(bool IsTopOfScanbeam) { TEdge* horzEdge = m_SortedEdges; while(horzEdge) { DeleteFromSEL(horzEdge); ProcessHorizontal(horzEdge, IsTopOfScanbeam); horzEdge = m_SortedEdges; } } //------------------------------------------------------------------------------ inline bool IsMinima(TEdge *e) { return e && (e->Prev->NextInLML != e) && (e->Next->NextInLML != e); } //------------------------------------------------------------------------------ inline bool IsMaxima(TEdge *e, const cInt Y) { return e && e->Top.Y == Y && !e->NextInLML; } //------------------------------------------------------------------------------ inline bool IsIntermediate(TEdge *e, const cInt Y) { return e->Top.Y == Y && e->NextInLML; } //------------------------------------------------------------------------------ TEdge *GetMaximaPair(TEdge *e) { TEdge* result = 0; if ((e->Next->Top == e->Top) && !e->Next->NextInLML) result = e->Next; else if ((e->Prev->Top == e->Top) && !e->Prev->NextInLML) result = e->Prev; if (result && (result->OutIdx == Skip || //result is false if both NextInAEL & PrevInAEL are nil & not horizontal ... (result->NextInAEL == result->PrevInAEL && !IsHorizontal(*result)))) return 0; return result; } //------------------------------------------------------------------------------ void Clipper::SwapPositionsInAEL(TEdge *Edge1, TEdge *Edge2) { //check that one or other edge hasn't already been removed from AEL ... if (Edge1->NextInAEL == Edge1->PrevInAEL || Edge2->NextInAEL == Edge2->PrevInAEL) return; if( Edge1->NextInAEL == Edge2 ) { TEdge* Next = Edge2->NextInAEL; if( Next ) Next->PrevInAEL = Edge1; TEdge* Prev = Edge1->PrevInAEL; if( Prev ) Prev->NextInAEL = Edge2; Edge2->PrevInAEL = Prev; Edge2->NextInAEL = Edge1; Edge1->PrevInAEL = Edge2; Edge1->NextInAEL = Next; } else if( Edge2->NextInAEL == Edge1 ) { TEdge* Next = Edge1->NextInAEL; if( Next ) Next->PrevInAEL = Edge2; TEdge* Prev = Edge2->PrevInAEL; if( Prev ) Prev->NextInAEL = Edge1; Edge1->PrevInAEL = Prev; Edge1->NextInAEL = Edge2; Edge2->PrevInAEL = Edge1; Edge2->NextInAEL = Next; } else { TEdge* Next = Edge1->NextInAEL; TEdge* Prev = Edge1->PrevInAEL; Edge1->NextInAEL = Edge2->NextInAEL; if( Edge1->NextInAEL ) Edge1->NextInAEL->PrevInAEL = Edge1; Edge1->PrevInAEL = Edge2->PrevInAEL; if( Edge1->PrevInAEL ) Edge1->PrevInAEL->NextInAEL = Edge1; Edge2->NextInAEL = Next; if( Edge2->NextInAEL ) Edge2->NextInAEL->PrevInAEL = Edge2; Edge2->PrevInAEL = Prev; if( Edge2->PrevInAEL ) Edge2->PrevInAEL->NextInAEL = Edge2; } if( !Edge1->PrevInAEL ) m_ActiveEdges = Edge1; else if( !Edge2->PrevInAEL ) m_ActiveEdges = Edge2; } //------------------------------------------------------------------------------ void Clipper::SwapPositionsInSEL(TEdge *Edge1, TEdge *Edge2) { if( !( Edge1->NextInSEL ) && !( Edge1->PrevInSEL ) ) return; if( !( Edge2->NextInSEL ) && !( Edge2->PrevInSEL ) ) return; if( Edge1->NextInSEL == Edge2 ) { TEdge* Next = Edge2->NextInSEL; if( Next ) Next->PrevInSEL = Edge1; TEdge* Prev = Edge1->PrevInSEL; if( Prev ) Prev->NextInSEL = Edge2; Edge2->PrevInSEL = Prev; Edge2->NextInSEL = Edge1; Edge1->PrevInSEL = Edge2; Edge1->NextInSEL = Next; } else if( Edge2->NextInSEL == Edge1 ) { TEdge* Next = Edge1->NextInSEL; if( Next ) Next->PrevInSEL = Edge2; TEdge* Prev = Edge2->PrevInSEL; if( Prev ) Prev->NextInSEL = Edge1; Edge1->PrevInSEL = Prev; Edge1->NextInSEL = Edge2; Edge2->PrevInSEL = Edge1; Edge2->NextInSEL = Next; } else { TEdge* Next = Edge1->NextInSEL; TEdge* Prev = Edge1->PrevInSEL; Edge1->NextInSEL = Edge2->NextInSEL; if( Edge1->NextInSEL ) Edge1->NextInSEL->PrevInSEL = Edge1; Edge1->PrevInSEL = Edge2->PrevInSEL; if( Edge1->PrevInSEL ) Edge1->PrevInSEL->NextInSEL = Edge1; Edge2->NextInSEL = Next; if( Edge2->NextInSEL ) Edge2->NextInSEL->PrevInSEL = Edge2; Edge2->PrevInSEL = Prev; if( Edge2->PrevInSEL ) Edge2->PrevInSEL->NextInSEL = Edge2; } if( !Edge1->PrevInSEL ) m_SortedEdges = Edge1; else if( !Edge2->PrevInSEL ) m_SortedEdges = Edge2; } //------------------------------------------------------------------------------ TEdge* GetNextInAEL(TEdge *e, Direction dir) { return dir == dLeftToRight ? e->NextInAEL : e->PrevInAEL; } //------------------------------------------------------------------------------ void GetHorzDirection(TEdge& HorzEdge, Direction& Dir, cInt& Left, cInt& Right) { if (HorzEdge.Bot.X < HorzEdge.Top.X) { Left = HorzEdge.Bot.X; Right = HorzEdge.Top.X; Dir = dLeftToRight; } else { Left = HorzEdge.Top.X; Right = HorzEdge.Bot.X; Dir = dRightToLeft; } } //------------------------------------------------------------------------ void Clipper::PrepareHorzJoins(TEdge* horzEdge, bool isTopOfScanbeam) { //get the last Op for this horizontal edge //the point may be anywhere along the horizontal ... OutPt* outPt = m_PolyOuts[horzEdge->OutIdx]->Pts; if (horzEdge->Side != esLeft) outPt = outPt->Prev; //First, match up overlapping horizontal edges (eg when one polygon's //intermediate horz edge overlaps an intermediate horz edge of another, or //when one polygon sits on top of another) ... //for (JoinList::size_type i = 0; i < m_GhostJoins.size(); ++i) //{ // Join* j = m_GhostJoins[i]; // if (HorzSegmentsOverlap(j->OutPt1->Pt, j->OffPt, horzEdge->Bot, horzEdge->Top)) // AddJoin(j->OutPt1, outPt, j->OffPt); //} //Also, since horizontal edges at the top of one SB are often removed from //the AEL before we process the horizontal edges at the bottom of the next, //we need to create 'ghost' Join records of 'contrubuting' horizontals that //we can compare with horizontals at the bottom of the next SB. if (isTopOfScanbeam) { if (outPt->Pt == horzEdge->Top) AddGhostJoin(outPt, horzEdge->Bot); else AddGhostJoin(outPt, horzEdge->Top); } } //------------------------------------------------------------------------------ /******************************************************************************* * Notes: Horizontal edges (HEs) at scanline intersections (ie at the Top or * * Bottom of a scanbeam) are processed as if layered. The order in which HEs * * are processed doesn't matter. HEs intersect with other HE Bot.Xs only [#] * * (or they could intersect with Top.Xs only, ie EITHER Bot.Xs OR Top.Xs), * * and with other non-horizontal edges [*]. Once these intersections are * * processed, intermediate HEs then 'promote' the Edge above (NextInLML) into * * the AEL. These 'promoted' edges may in turn intersect [%] with other HEs. * *******************************************************************************/ void Clipper::ProcessHorizontal(TEdge *horzEdge, bool isTopOfScanbeam) { Direction dir; cInt horzLeft, horzRight; GetHorzDirection(*horzEdge, dir, horzLeft, horzRight); TEdge* eLastHorz = horzEdge, *eMaxPair = 0; while (eLastHorz->NextInLML && IsHorizontal(*eLastHorz->NextInLML)) eLastHorz = eLastHorz->NextInLML; if (!eLastHorz->NextInLML) eMaxPair = GetMaximaPair(eLastHorz); for (;;) { bool IsLastHorz = (horzEdge == eLastHorz); TEdge* e = GetNextInAEL(horzEdge, dir); while(e) { //Break if we've got to the end of an intermediate horizontal edge ... //nb: Smaller Dx's are to the right of larger Dx's ABOVE the horizontal. if (e->Curr.X == horzEdge->Top.X && horzEdge->NextInLML && e->Dx < horzEdge->NextInLML->Dx) break; TEdge* eNext = GetNextInAEL(e, dir); //saves eNext for later if ((dir == dLeftToRight && e->Curr.X <= horzRight) || (dir == dRightToLeft && e->Curr.X >= horzLeft)) { if (horzEdge->OutIdx >= 0 && horzEdge->WindDelta != 0) PrepareHorzJoins(horzEdge, isTopOfScanbeam); //so far we're still in range of the horizontal Edge but make sure //we're at the last of consec. horizontals when matching with eMaxPair if(e == eMaxPair && IsLastHorz) { if (dir == dLeftToRight) IntersectEdges(horzEdge, e, e->Top); else IntersectEdges(e, horzEdge, e->Top); if (eMaxPair->OutIdx >= 0) THROWCLIPPER("ProcessHorizontal error"); return; } else if(dir == dLeftToRight) { IntPoint Pt = IntPoint(e->Curr.X, horzEdge->Curr.Y); IntersectEdges(horzEdge, e, Pt, true); } else { IntPoint Pt = IntPoint(e->Curr.X, horzEdge->Curr.Y); IntersectEdges( e, horzEdge, Pt, true); } SwapPositionsInAEL( horzEdge, e ); } else if( (dir == dLeftToRight && e->Curr.X >= horzRight) || (dir == dRightToLeft && e->Curr.X <= horzLeft) ) break; e = eNext; } //end while if (horzEdge->OutIdx >= 0 && horzEdge->WindDelta != 0) PrepareHorzJoins(horzEdge, isTopOfScanbeam); if (horzEdge->NextInLML && IsHorizontal(*horzEdge->NextInLML)) { UpdateEdgeIntoAEL(horzEdge); if (horzEdge->OutIdx >= 0) AddOutPt(horzEdge, horzEdge->Bot); GetHorzDirection(*horzEdge, dir, horzLeft, horzRight); } else break; } //end for (;;) if(horzEdge->NextInLML) { if(horzEdge->OutIdx >= 0) { OutPt* op1 = AddOutPt( horzEdge, horzEdge->Top); UpdateEdgeIntoAEL(horzEdge); if (horzEdge->WindDelta == 0) return; //nb: HorzEdge is no longer horizontal here TEdge* ePrev = horzEdge->PrevInAEL; TEdge* eNext = horzEdge->NextInAEL; if (ePrev && ePrev->Curr.X == horzEdge->Bot.X && ePrev->Curr.Y == horzEdge->Bot.Y && ePrev->WindDelta != 0 && (ePrev->OutIdx >= 0 && ePrev->Curr.Y > ePrev->Top.Y && SlopesEqual(*horzEdge, *ePrev, m_UseFullRange))) { OutPt* op2 = AddOutPt(ePrev, horzEdge->Bot); AddJoin(op1, op2, horzEdge->Top); } else if (eNext && eNext->Curr.X == horzEdge->Bot.X && eNext->Curr.Y == horzEdge->Bot.Y && eNext->WindDelta != 0 && eNext->OutIdx >= 0 && eNext->Curr.Y > eNext->Top.Y && SlopesEqual(*horzEdge, *eNext, m_UseFullRange)) { OutPt* op2 = AddOutPt(eNext, horzEdge->Bot); AddJoin(op1, op2, horzEdge->Top); } } else UpdateEdgeIntoAEL(horzEdge); } else if (eMaxPair) { if (eMaxPair->OutIdx >= 0) { if (dir == dLeftToRight) IntersectEdges(horzEdge, eMaxPair, horzEdge->Top); else IntersectEdges(eMaxPair, horzEdge, horzEdge->Top); if (eMaxPair->OutIdx >= 0) THROWCLIPPER("ProcessHorizontal error"); } else { DeleteFromAEL(horzEdge); DeleteFromAEL(eMaxPair); } } else { if (horzEdge->OutIdx >= 0) AddOutPt(horzEdge, horzEdge->Top); DeleteFromAEL(horzEdge); } } //------------------------------------------------------------------------------ void Clipper::UpdateEdgeIntoAEL(TEdge *&e) { if( !e->NextInLML ) THROWCLIPPER("UpdateEdgeIntoAEL: invalid call"); e->NextInLML->OutIdx = e->OutIdx; TEdge* AelPrev = e->PrevInAEL; TEdge* AelNext = e->NextInAEL; if (AelPrev) AelPrev->NextInAEL = e->NextInLML; else m_ActiveEdges = e->NextInLML; if (AelNext) AelNext->PrevInAEL = e->NextInLML; e->NextInLML->Side = e->Side; e->NextInLML->WindDelta = e->WindDelta; e->NextInLML->WindCnt = e->WindCnt; e->NextInLML->WindCnt2 = e->WindCnt2; e = e->NextInLML; e->Curr = e->Bot; e->PrevInAEL = AelPrev; e->NextInAEL = AelNext; if (!IsHorizontal(*e)) InsertScanbeam(e->Top.Y); } //------------------------------------------------------------------------------ bool Clipper::ProcessIntersections(const cInt botY, const cInt topY) { if( !m_ActiveEdges ) return true; try { BuildIntersectList(botY, topY); size_t IlSize = m_IntersectList.size(); if (IlSize == 0) return true; if (IlSize == 1 || FixupIntersectionOrder()) ProcessIntersectList(); else return false; } catch(...) { m_SortedEdges = 0; DisposeIntersectNodes(); THROWCLIPPER("ProcessIntersections error"); } m_SortedEdges = 0; return true; } //------------------------------------------------------------------------------ void Clipper::DisposeIntersectNodes() { for (size_t i = 0; i < m_IntersectList.size(); ++i ) delete m_IntersectList[i]; m_IntersectList.clear(); } //------------------------------------------------------------------------------ void Clipper::BuildIntersectList(const cInt botY, const cInt topY) { if ( !m_ActiveEdges ) return; //prepare for sorting ... TEdge* e = m_ActiveEdges; m_SortedEdges = e; while( e ) { e->PrevInSEL = e->PrevInAEL; e->NextInSEL = e->NextInAEL; e->Curr.X = TopX( *e, topY ); e = e->NextInAEL; } //bubblesort ... bool isModified; do { isModified = false; e = m_SortedEdges; while( e->NextInSEL ) { TEdge *eNext = e->NextInSEL; IntPoint Pt; if(e->Curr.X > eNext->Curr.X) { if (!IntersectPoint(*e, *eNext, Pt, m_UseFullRange) && e->Curr.X > eNext->Curr.X +1) THROWCLIPPER("Intersection error"); if (Pt.Y > botY) { Pt.Y = botY; if (std::fabs(e->Dx) > std::fabs(eNext->Dx)) Pt.X = TopX(*eNext, botY); else Pt.X = TopX(*e, botY); } IntersectNode * newNode = new IntersectNode; newNode->Edge1 = e; newNode->Edge2 = eNext; newNode->Pt = Pt; m_IntersectList.push_back(newNode); SwapPositionsInSEL(e, eNext); isModified = true; } else e = eNext; } if( e->PrevInSEL ) e->PrevInSEL->NextInSEL = 0; else break; } while ( isModified ); m_SortedEdges = 0; //important } //------------------------------------------------------------------------------ void Clipper::ProcessIntersectList() { for (size_t i = 0; i < m_IntersectList.size(); ++i) { IntersectNode* iNode = m_IntersectList[i]; { IntersectEdges( iNode->Edge1, iNode->Edge2, iNode->Pt, true); SwapPositionsInAEL( iNode->Edge1 , iNode->Edge2 ); } delete iNode; } m_IntersectList.clear(); } //------------------------------------------------------------------------------ bool IntersectListSort(IntersectNode* node1, IntersectNode* node2) { return node2->Pt.Y < node1->Pt.Y; } //------------------------------------------------------------------------------ inline bool EdgesAdjacent(const IntersectNode &inode) { return (inode.Edge1->NextInSEL == inode.Edge2) || (inode.Edge1->PrevInSEL == inode.Edge2); } //------------------------------------------------------------------------------ bool Clipper::FixupIntersectionOrder() { //pre-condition: intersections are sorted Bottom-most first. //Now it's crucial that intersections are made only between adjacent edges, //so to ensure this the order of intersections may need adjusting ... CopyAELToSEL(); std::sort(m_IntersectList.begin(), m_IntersectList.end(), IntersectListSort); size_t cnt = m_IntersectList.size(); for (size_t i = 0; i < cnt; ++i) { if (!EdgesAdjacent(*m_IntersectList[i])) { size_t j = i + 1; while (j < cnt && !EdgesAdjacent(*m_IntersectList[j])) j++; if (j == cnt) return false; std::swap(m_IntersectList[i], m_IntersectList[j]); } SwapPositionsInSEL(m_IntersectList[i]->Edge1, m_IntersectList[i]->Edge2); } return true; } //------------------------------------------------------------------------------ void Clipper::DoMaxima(TEdge *e) { TEdge* eMaxPair = GetMaximaPair(e); if (!eMaxPair) { if (e->OutIdx >= 0) AddOutPt(e, e->Top); DeleteFromAEL(e); return; } TEdge* eNext = e->NextInAEL; while(eNext && eNext != eMaxPair) { IntersectEdges(e, eNext, e->Top, true); SwapPositionsInAEL(e, eNext); eNext = e->NextInAEL; } if(e->OutIdx == Unassigned && eMaxPair->OutIdx == Unassigned) { DeleteFromAEL(e); DeleteFromAEL(eMaxPair); } else if( e->OutIdx >= 0 && eMaxPair->OutIdx >= 0 ) { IntersectEdges( e, eMaxPair, e->Top); } #ifdef use_lines else if (e->WindDelta == 0) { if (e->OutIdx >= 0) { AddOutPt(e, e->Top); e->OutIdx = Unassigned; } DeleteFromAEL(e); if (eMaxPair->OutIdx >= 0) { AddOutPt(eMaxPair, e->Top); eMaxPair->OutIdx = Unassigned; } DeleteFromAEL(eMaxPair); } #endif else THROWCLIPPER("DoMaxima error"); } //------------------------------------------------------------------------------ void Clipper::ProcessEdgesAtTopOfScanbeam(const cInt topY) { TEdge* e = m_ActiveEdges; while( e ) { //1. process maxima, treating them as if they're 'bent' horizontal edges, // but exclude maxima with horizontal edges. nb: e can't be a horizontal. bool IsMaximaEdge = IsMaxima(e, topY); if(IsMaximaEdge) { TEdge* eMaxPair = GetMaximaPair(e); IsMaximaEdge = (!eMaxPair || !IsHorizontal(*eMaxPair)); } if(IsMaximaEdge) { TEdge* ePrev = e->PrevInAEL; DoMaxima(e); if( !ePrev ) e = m_ActiveEdges; else e = ePrev->NextInAEL; } else { //2. promote horizontal edges, otherwise update Curr.X and Curr.Y ... if (IsIntermediate(e, topY) && IsHorizontal(*e->NextInLML)) { UpdateEdgeIntoAEL(e); if (e->OutIdx >= 0) AddOutPt(e, e->Bot); AddEdgeToSEL(e); } else { e->Curr.X = TopX( *e, topY ); e->Curr.Y = topY; } if (m_StrictSimple) { TEdge* ePrev = e->PrevInAEL; if ((e->OutIdx >= 0) && (e->WindDelta != 0) && ePrev && (ePrev->OutIdx >= 0) && (ePrev->Curr.X == e->Curr.X) && (ePrev->WindDelta != 0)) { OutPt* op = AddOutPt(ePrev, e->Curr); OutPt* op2 = AddOutPt(e, e->Curr); AddJoin(op, op2, e->Curr); //StrictlySimple (type-3) join } } e = e->NextInAEL; } } //3. Process horizontals at the Top of the scanbeam ... ProcessHorizontals(true); //4. Promote intermediate vertices ... e = m_ActiveEdges; while(e) { if(IsIntermediate(e, topY)) { OutPt* op = 0; if( e->OutIdx >= 0 ) op = AddOutPt(e, e->Top); UpdateEdgeIntoAEL(e); //if output polygons share an edge, they'll need joining later ... TEdge* ePrev = e->PrevInAEL; TEdge* eNext = e->NextInAEL; if (ePrev && ePrev->Curr.X == e->Bot.X && ePrev->Curr.Y == e->Bot.Y && op && ePrev->OutIdx >= 0 && ePrev->Curr.Y > ePrev->Top.Y && SlopesEqual(*e, *ePrev, m_UseFullRange) && (e->WindDelta != 0) && (ePrev->WindDelta != 0)) { OutPt* op2 = AddOutPt(ePrev, e->Bot); AddJoin(op, op2, e->Top); } else if (eNext && eNext->Curr.X == e->Bot.X && eNext->Curr.Y == e->Bot.Y && op && eNext->OutIdx >= 0 && eNext->Curr.Y > eNext->Top.Y && SlopesEqual(*e, *eNext, m_UseFullRange) && (e->WindDelta != 0) && (eNext->WindDelta != 0)) { OutPt* op2 = AddOutPt(eNext, e->Bot); AddJoin(op, op2, e->Top); } } e = e->NextInAEL; } } //------------------------------------------------------------------------------ void Clipper::FixupOutPolygon(OutRec &outrec) { //FixupOutPolygon() - removes duplicate points and simplifies consecutive //parallel edges by removing the middle vertex. OutPt *lastOK = 0; outrec.BottomPt = 0; OutPt *pp = outrec.Pts; for (;;) { if (pp->Prev == pp || pp->Prev == pp->Next ) { DisposeOutPts(pp); outrec.Pts = 0; return; } //test for duplicate points and collinear edges ... if ((pp->Pt == pp->Next->Pt) || (pp->Pt == pp->Prev->Pt) || (SlopesEqual(pp->Prev->Pt, pp->Pt, pp->Next->Pt, m_UseFullRange) && (!m_PreserveCollinear || !Pt2IsBetweenPt1AndPt3(pp->Prev->Pt, pp->Pt, pp->Next->Pt)))) { lastOK = 0; OutPt *tmp = pp; pp->Prev->Next = pp->Next; pp->Next->Prev = pp->Prev; pp = pp->Prev; delete tmp; } else if (pp == lastOK) break; else { if (!lastOK) lastOK = pp; pp = pp->Next; } } outrec.Pts = pp; } //------------------------------------------------------------------------------ int PointCount(OutPt *Pts) { if (!Pts) return 0; int result = 0; OutPt* p = Pts; do { result++; p = p->Next; } while (p != Pts); return result; } //------------------------------------------------------------------------------ void Clipper::BuildResult(Paths &polys) { polys.reserve(m_PolyOuts.size()); for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) { if (!m_PolyOuts[i]->Pts) continue; Path pg; OutPt* p = m_PolyOuts[i]->Pts->Prev; int cnt = PointCount(p); if (cnt < 2) continue; pg.reserve(cnt); for (int i = 0; i < cnt; ++i) { pg.push_back(p->Pt); p = p->Prev; } polys.push_back(pg); } } //------------------------------------------------------------------------------ void Clipper::BuildResult2(PolyTree& polytree) { polytree.Clear(); polytree.AllNodes.reserve(m_PolyOuts.size()); //add each output polygon/contour to polytree ... for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); i++) { OutRec* outRec = m_PolyOuts[i]; int cnt = PointCount(outRec->Pts); if ((outRec->IsOpen && cnt < 2) || (!outRec->IsOpen && cnt < 3)) continue; FixHoleLinkage(*outRec); PolyNode* pn = new PolyNode(); //nb: polytree takes ownership of all the PolyNodes polytree.AllNodes.push_back(pn); outRec->PolyNd = pn; pn->Parent = 0; pn->Index = 0; pn->Contour.reserve(cnt); OutPt *op = outRec->Pts->Prev; for (int j = 0; j < cnt; j++) { pn->Contour.push_back(op->Pt); op = op->Prev; } } //fixup PolyNode links etc ... polytree.Childs.reserve(m_PolyOuts.size()); for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); i++) { OutRec* outRec = m_PolyOuts[i]; if (!outRec->PolyNd) continue; if (outRec->IsOpen) { outRec->PolyNd->m_IsOpen = true; polytree.AddChild(*outRec->PolyNd); } else if (outRec->FirstLeft && outRec->FirstLeft->PolyNd) outRec->FirstLeft->PolyNd->AddChild(*outRec->PolyNd); else polytree.AddChild(*outRec->PolyNd); } } //------------------------------------------------------------------------------ void SwapIntersectNodes(IntersectNode &int1, IntersectNode &int2) { //just swap the contents (because fIntersectNodes is a single-linked-list) IntersectNode inode = int1; //gets a copy of Int1 int1.Edge1 = int2.Edge1; int1.Edge2 = int2.Edge2; int1.Pt = int2.Pt; int2.Edge1 = inode.Edge1; int2.Edge2 = inode.Edge2; int2.Pt = inode.Pt; } //------------------------------------------------------------------------------ inline bool E2InsertsBeforeE1(TEdge &e1, TEdge &e2) { if (e2.Curr.X == e1.Curr.X) { if (e2.Top.Y > e1.Top.Y) return e2.Top.X < TopX(e1, e2.Top.Y); else return e1.Top.X > TopX(e2, e1.Top.Y); } else return e2.Curr.X < e1.Curr.X; } //------------------------------------------------------------------------------ bool GetOverlap(const cInt a1, const cInt a2, const cInt b1, const cInt b2, cInt& Left, cInt& Right) { if (a1 < a2) { if (b1 < b2) {Left = std::max(a1,b1); Right = std::min(a2,b2);} else {Left = std::max(a1,b2); Right = std::min(a2,b1);} } else { if (b1 < b2) {Left = std::max(a2,b1); Right = std::min(a1,b2);} else {Left = std::max(a2,b2); Right = std::min(a1,b1);} } return Left < Right; } //------------------------------------------------------------------------------ inline void UpdateOutPtIdxs(OutRec& outrec) { OutPt* op = outrec.Pts; do { op->Idx = outrec.Idx; op = op->Prev; } while(op != outrec.Pts); } //------------------------------------------------------------------------------ void Clipper::InsertEdgeIntoAEL(TEdge *edge, TEdge* startEdge) { if(!m_ActiveEdges) { edge->PrevInAEL = 0; edge->NextInAEL = 0; m_ActiveEdges = edge; } else if(!startEdge && E2InsertsBeforeE1(*m_ActiveEdges, *edge)) { edge->PrevInAEL = 0; edge->NextInAEL = m_ActiveEdges; m_ActiveEdges->PrevInAEL = edge; m_ActiveEdges = edge; } else { if(!startEdge) startEdge = m_ActiveEdges; while(startEdge->NextInAEL && !E2InsertsBeforeE1(*startEdge->NextInAEL , *edge)) startEdge = startEdge->NextInAEL; edge->NextInAEL = startEdge->NextInAEL; if(startEdge->NextInAEL) startEdge->NextInAEL->PrevInAEL = edge; edge->PrevInAEL = startEdge; startEdge->NextInAEL = edge; } } //---------------------------------------------------------------------- OutPt* DupOutPt(OutPt* outPt, bool InsertAfter) { OutPt* result = new OutPt; result->Pt = outPt->Pt; result->Idx = outPt->Idx; if (InsertAfter) { result->Next = outPt->Next; result->Prev = outPt; outPt->Next->Prev = result; outPt->Next = result; } else { result->Prev = outPt->Prev; result->Next = outPt; outPt->Prev->Next = result; outPt->Prev = result; } return result; } //------------------------------------------------------------------------------ bool JoinHorz(OutPt* op1, OutPt* op1b, OutPt* op2, OutPt* op2b, const IntPoint Pt, bool DiscardLeft) { Direction Dir1 = (op1->Pt.X > op1b->Pt.X ? dRightToLeft : dLeftToRight); Direction Dir2 = (op2->Pt.X > op2b->Pt.X ? dRightToLeft : dLeftToRight); if (Dir1 == Dir2) return false; //When DiscardLeft, we want Op1b to be on the Left of Op1, otherwise we //want Op1b to be on the Right. (And likewise with Op2 and Op2b.) //So, to facilitate this while inserting Op1b and Op2b ... //when DiscardLeft, make sure we're AT or RIGHT of Pt before adding Op1b, //otherwise make sure we're AT or LEFT of Pt. (Likewise with Op2b.) if (Dir1 == dLeftToRight) { while (op1->Next->Pt.X <= Pt.X && op1->Next->Pt.X >= op1->Pt.X && op1->Next->Pt.Y == Pt.Y) op1 = op1->Next; if (DiscardLeft && (op1->Pt.X != Pt.X)) op1 = op1->Next; op1b = DupOutPt(op1, !DiscardLeft); if (op1b->Pt != Pt) { op1 = op1b; op1->Pt = Pt; op1b = DupOutPt(op1, !DiscardLeft); } } else { while (op1->Next->Pt.X >= Pt.X && op1->Next->Pt.X <= op1->Pt.X && op1->Next->Pt.Y == Pt.Y) op1 = op1->Next; if (!DiscardLeft && (op1->Pt.X != Pt.X)) op1 = op1->Next; op1b = DupOutPt(op1, DiscardLeft); if (op1b->Pt != Pt) { op1 = op1b; op1->Pt = Pt; op1b = DupOutPt(op1, DiscardLeft); } } if (Dir2 == dLeftToRight) { while (op2->Next->Pt.X <= Pt.X && op2->Next->Pt.X >= op2->Pt.X && op2->Next->Pt.Y == Pt.Y) op2 = op2->Next; if (DiscardLeft && (op2->Pt.X != Pt.X)) op2 = op2->Next; op2b = DupOutPt(op2, !DiscardLeft); if (op2b->Pt != Pt) { op2 = op2b; op2->Pt = Pt; op2b = DupOutPt(op2, !DiscardLeft); }; } else { while (op2->Next->Pt.X >= Pt.X && op2->Next->Pt.X <= op2->Pt.X && op2->Next->Pt.Y == Pt.Y) op2 = op2->Next; if (!DiscardLeft && (op2->Pt.X != Pt.X)) op2 = op2->Next; op2b = DupOutPt(op2, DiscardLeft); if (op2b->Pt != Pt) { op2 = op2b; op2->Pt = Pt; op2b = DupOutPt(op2, DiscardLeft); }; }; if ((Dir1 == dLeftToRight) == DiscardLeft) { op1->Prev = op2; op2->Next = op1; op1b->Next = op2b; op2b->Prev = op1b; } else { op1->Next = op2; op2->Prev = op1; op1b->Prev = op2b; op2b->Next = op1b; } return true; } //------------------------------------------------------------------------------ bool Clipper::JoinPoints(Join *j, OutRec* outRec1, OutRec* outRec2) { OutPt *op1 = j->OutPt1, *op1b; OutPt *op2 = j->OutPt2, *op2b; //There are 3 kinds of joins for output polygons ... //1. Horizontal joins where Join.OutPt1 & Join.OutPt2 are a vertices anywhere //along (horizontal) collinear edges (& Join.OffPt is on the same horizontal). //2. Non-horizontal joins where Join.OutPt1 & Join.OutPt2 are at the same //location at the Bottom of the overlapping segment (& Join.OffPt is above). //3. StrictSimple joins where edges touch but are not collinear and where //Join.OutPt1, Join.OutPt2 & Join.OffPt all share the same point. bool isHorizontal = (j->OutPt1->Pt.Y == j->OffPt.Y); if (isHorizontal && (j->OffPt == j->OutPt1->Pt) && (j->OffPt == j->OutPt2->Pt)) { //Strictly Simple join ... op1b = j->OutPt1->Next; while (op1b != op1 && (op1b->Pt == j->OffPt)) op1b = op1b->Next; bool reverse1 = (op1b->Pt.Y > j->OffPt.Y); op2b = j->OutPt2->Next; while (op2b != op2 && (op2b->Pt == j->OffPt)) op2b = op2b->Next; bool reverse2 = (op2b->Pt.Y > j->OffPt.Y); if (reverse1 == reverse2) return false; if (reverse1) { op1b = DupOutPt(op1, false); op2b = DupOutPt(op2, true); op1->Prev = op2; op2->Next = op1; op1b->Next = op2b; op2b->Prev = op1b; j->OutPt1 = op1; j->OutPt2 = op1b; return true; } else { op1b = DupOutPt(op1, true); op2b = DupOutPt(op2, false); op1->Next = op2; op2->Prev = op1; op1b->Prev = op2b; op2b->Next = op1b; j->OutPt1 = op1; j->OutPt2 = op1b; return true; } } else if (isHorizontal) { //treat horizontal joins differently to non-horizontal joins since with //them we're not yet sure where the overlapping is. OutPt1.Pt & OutPt2.Pt //may be anywhere along the horizontal edge. op1b = op1; while (op1->Prev->Pt.Y == op1->Pt.Y && op1->Prev != op1b && op1->Prev != op2) op1 = op1->Prev; while (op1b->Next->Pt.Y == op1b->Pt.Y && op1b->Next != op1 && op1b->Next != op2) op1b = op1b->Next; if (op1b->Next == op1 || op1b->Next == op2) return false; //a flat 'polygon' op2b = op2; while (op2->Prev->Pt.Y == op2->Pt.Y && op2->Prev != op2b && op2->Prev != op1b) op2 = op2->Prev; while (op2b->Next->Pt.Y == op2b->Pt.Y && op2b->Next != op2 && op2b->Next != op1) op2b = op2b->Next; if (op2b->Next == op2 || op2b->Next == op1) return false; //a flat 'polygon' cInt Left, Right; //Op1 --> Op1b & Op2 --> Op2b are the extremites of the horizontal edges if (!GetOverlap(op1->Pt.X, op1b->Pt.X, op2->Pt.X, op2b->Pt.X, Left, Right)) return false; //DiscardLeftSide: when overlapping edges are joined, a spike will created //which needs to be cleaned up. However, we don't want Op1 or Op2 caught up //on the discard Side as either may still be needed for other joins ... IntPoint Pt; bool DiscardLeftSide; if (op1->Pt.X >= Left && op1->Pt.X <= Right) { Pt = op1->Pt; DiscardLeftSide = (op1->Pt.X > op1b->Pt.X); } else if (op2->Pt.X >= Left&& op2->Pt.X <= Right) { Pt = op2->Pt; DiscardLeftSide = (op2->Pt.X > op2b->Pt.X); } else if (op1b->Pt.X >= Left && op1b->Pt.X <= Right) { Pt = op1b->Pt; DiscardLeftSide = op1b->Pt.X > op1->Pt.X; } else { Pt = op2b->Pt; DiscardLeftSide = (op2b->Pt.X > op2->Pt.X); } j->OutPt1 = op1; j->OutPt2 = op2; return JoinHorz(op1, op1b, op2, op2b, Pt, DiscardLeftSide); } else { //nb: For non-horizontal joins ... // 1. Jr.OutPt1.Pt.Y == Jr.OutPt2.Pt.Y // 2. Jr.OutPt1.Pt > Jr.OffPt.Y //make sure the polygons are correctly oriented ... op1b = op1->Next; while ((op1b->Pt == op1->Pt) && (op1b != op1)) op1b = op1b->Next; bool Reverse1 = ((op1b->Pt.Y > op1->Pt.Y) || !SlopesEqual(op1->Pt, op1b->Pt, j->OffPt, m_UseFullRange)); if (Reverse1) { op1b = op1->Prev; while ((op1b->Pt == op1->Pt) && (op1b != op1)) op1b = op1b->Prev; if ((op1b->Pt.Y > op1->Pt.Y) || !SlopesEqual(op1->Pt, op1b->Pt, j->OffPt, m_UseFullRange)) return false; }; op2b = op2->Next; while ((op2b->Pt == op2->Pt) && (op2b != op2))op2b = op2b->Next; bool Reverse2 = ((op2b->Pt.Y > op2->Pt.Y) || !SlopesEqual(op2->Pt, op2b->Pt, j->OffPt, m_UseFullRange)); if (Reverse2) { op2b = op2->Prev; while ((op2b->Pt == op2->Pt) && (op2b != op2)) op2b = op2b->Prev; if ((op2b->Pt.Y > op2->Pt.Y) || !SlopesEqual(op2->Pt, op2b->Pt, j->OffPt, m_UseFullRange)) return false; } if ((op1b == op1) || (op2b == op2) || (op1b == op2b) || ((outRec1 == outRec2) && (Reverse1 == Reverse2))) return false; if (Reverse1) { op1b = DupOutPt(op1, false); op2b = DupOutPt(op2, true); op1->Prev = op2; op2->Next = op1; op1b->Next = op2b; op2b->Prev = op1b; j->OutPt1 = op1; j->OutPt2 = op1b; return true; } else { op1b = DupOutPt(op1, true); op2b = DupOutPt(op2, false); op1->Next = op2; op2->Prev = op1; op1b->Prev = op2b; op2b->Next = op1b; j->OutPt1 = op1; j->OutPt2 = op1b; return true; } } } //---------------------------------------------------------------------- void Clipper::FixupFirstLefts1(OutRec* OldOutRec, OutRec* NewOutRec) { for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) { OutRec* outRec = m_PolyOuts[i]; if (outRec->Pts && outRec->FirstLeft == OldOutRec) { if (Poly2ContainsPoly1(outRec->Pts, NewOutRec->Pts)) outRec->FirstLeft = NewOutRec; } } } //---------------------------------------------------------------------- void Clipper::FixupFirstLefts2(OutRec* OldOutRec, OutRec* NewOutRec) { for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) { OutRec* outRec = m_PolyOuts[i]; if (outRec->FirstLeft == OldOutRec) outRec->FirstLeft = NewOutRec; } } //---------------------------------------------------------------------- static OutRec* ParseFirstLeft(OutRec* FirstLeft) { while (FirstLeft && !FirstLeft->Pts) FirstLeft = FirstLeft->FirstLeft; return FirstLeft; } //------------------------------------------------------------------------------ void Clipper::JoinCommonEdges() { for (JoinList::size_type i = 0; i < m_Joins.size(); i++) { Join* join = m_Joins[i]; OutRec *outRec1 = GetOutRec(join->OutPt1->Idx); OutRec *outRec2 = GetOutRec(join->OutPt2->Idx); if (!outRec1->Pts || !outRec2->Pts) continue; //get the polygon fragment with the correct hole state (FirstLeft) //before calling JoinPoints() ... OutRec *holeStateRec; if (outRec1 == outRec2) holeStateRec = outRec1; else if (Param1RightOfParam2(outRec1, outRec2)) holeStateRec = outRec2; else if (Param1RightOfParam2(outRec2, outRec1)) holeStateRec = outRec1; else holeStateRec = GetLowermostRec(outRec1, outRec2); if (!JoinPoints(join, outRec1, outRec2)) continue; if (outRec1 == outRec2) { //instead of joining two polygons, we've just created a new one by //splitting one polygon into two. outRec1->Pts = join->OutPt1; outRec1->BottomPt = 0; outRec2 = CreateOutRec(); outRec2->Pts = join->OutPt2; //update all OutRec2.Pts Idx's ... UpdateOutPtIdxs(*outRec2); //We now need to check every OutRec.FirstLeft pointer. If it points //to OutRec1 it may need to point to OutRec2 instead ... if (m_UsingPolyTree) for (PolyOutList::size_type j = 0; j < m_PolyOuts.size() - 1; j++) { OutRec* oRec = m_PolyOuts[j]; if (!oRec->Pts || ParseFirstLeft(oRec->FirstLeft) != outRec1 || oRec->IsHole == outRec1->IsHole) continue; if (Poly2ContainsPoly1(oRec->Pts, join->OutPt2)) oRec->FirstLeft = outRec2; } if (Poly2ContainsPoly1(outRec2->Pts, outRec1->Pts)) { //outRec2 is contained by outRec1 ... outRec2->IsHole = !outRec1->IsHole; outRec2->FirstLeft = outRec1; //fixup FirstLeft pointers that may need reassigning to OutRec1 if (m_UsingPolyTree) FixupFirstLefts2(outRec2, outRec1); if ((outRec2->IsHole ^ m_ReverseOutput) == (Area(*outRec2) > 0)) ReversePolyPtLinks(outRec2->Pts); } else if (Poly2ContainsPoly1(outRec1->Pts, outRec2->Pts)) { //outRec1 is contained by outRec2 ... outRec2->IsHole = outRec1->IsHole; outRec1->IsHole = !outRec2->IsHole; outRec2->FirstLeft = outRec1->FirstLeft; outRec1->FirstLeft = outRec2; //fixup FirstLeft pointers that may need reassigning to OutRec1 if (m_UsingPolyTree) FixupFirstLefts2(outRec1, outRec2); if ((outRec1->IsHole ^ m_ReverseOutput) == (Area(*outRec1) > 0)) ReversePolyPtLinks(outRec1->Pts); } else { //the 2 polygons are completely separate ... outRec2->IsHole = outRec1->IsHole; outRec2->FirstLeft = outRec1->FirstLeft; //fixup FirstLeft pointers that may need reassigning to OutRec2 if (m_UsingPolyTree) FixupFirstLefts1(outRec1, outRec2); } } else { //joined 2 polygons together ... outRec2->Pts = 0; outRec2->BottomPt = 0; outRec2->Idx = outRec1->Idx; outRec1->IsHole = holeStateRec->IsHole; if (holeStateRec == outRec2) outRec1->FirstLeft = outRec2->FirstLeft; outRec2->FirstLeft = outRec1; //fixup FirstLeft pointers that may need reassigning to OutRec1 if (m_UsingPolyTree) FixupFirstLefts2(outRec2, outRec1); } } } //------------------------------------------------------------------------------ // ClipperOffset support functions ... //------------------------------------------------------------------------------ DoublePoint GetUnitNormal(const IntPoint &pt1, const IntPoint &pt2) { if(pt2.X == pt1.X && pt2.Y == pt1.Y) return DoublePoint(0, 0); double Dx = (double)(pt2.X - pt1.X); double dy = (double)(pt2.Y - pt1.Y); double f = 1 *1.0/ std::sqrt( Dx*Dx + dy*dy ); Dx *= f; dy *= f; return DoublePoint(dy, -Dx); } //------------------------------------------------------------------------------ // ClipperOffset class //------------------------------------------------------------------------------ ClipperOffset::ClipperOffset(double miterLimit, double arcTolerance) { this->MiterLimit = miterLimit; this->ArcTolerance = arcTolerance; m_lowest.X = -1; } //------------------------------------------------------------------------------ ClipperOffset::~ClipperOffset() { Clear(); } //------------------------------------------------------------------------------ void ClipperOffset::Clear() { for (int i = 0; i < m_polyNodes.ChildCount(); ++i) delete m_polyNodes.Childs[i]; m_polyNodes.Childs.clear(); m_lowest.X = -1; } //------------------------------------------------------------------------------ void ClipperOffset::AddPath(const Path& path, JoinType joinType, EndType endType) { int highI = (int)path.size() - 1; if (highI < 0) return; PolyNode* newNode = new PolyNode(); newNode->m_jointype = joinType; newNode->m_endtype = endType; //strip duplicate points from path and also get index to the lowest point ... if (endType == etClosedLine || endType == etClosedPolygon) while (highI > 0 && path[0] == path[highI]) highI--; newNode->Contour.reserve(highI + 1); newNode->Contour.push_back(path[0]); int j = 0, k = 0; for (int i = 1; i <= highI; i++) if (newNode->Contour[j] != path[i]) { j++; newNode->Contour.push_back(path[i]); if (path[i].Y > newNode->Contour[k].Y || (path[i].Y == newNode->Contour[k].Y && path[i].X < newNode->Contour[k].X)) k = j; } if ((endType == etClosedPolygon && j < 2) || (endType != etClosedPolygon && j < 0)) { delete newNode; return; } m_polyNodes.AddChild(*newNode); //if this path's lowest pt is lower than all the others then update m_lowest if (endType != etClosedPolygon) return; if (m_lowest.X < 0) m_lowest = IntPoint(0, k); else { IntPoint ip = m_polyNodes.Childs[(int)m_lowest.X]->Contour[(int)m_lowest.Y]; if (newNode->Contour[k].Y > ip.Y || (newNode->Contour[k].Y == ip.Y && newNode->Contour[k].X < ip.X)) m_lowest = IntPoint(m_polyNodes.ChildCount() - 1, k); } } //------------------------------------------------------------------------------ void ClipperOffset::AddPaths(const Paths& paths, JoinType joinType, EndType endType) { for (Paths::size_type i = 0; i < paths.size(); ++i) AddPath(paths[i], joinType, endType); } //------------------------------------------------------------------------------ void ClipperOffset::FixOrientations() { //fixup orientations of all closed paths if the orientation of the //closed path with the lowermost vertex is wrong ... if (m_lowest.X >= 0 && !Orientation(m_polyNodes.Childs[(int)m_lowest.X]->Contour)) { for (int i = 0; i < m_polyNodes.ChildCount(); ++i) { PolyNode& node = *m_polyNodes.Childs[i]; if (node.m_endtype == etClosedPolygon || (node.m_endtype == etClosedLine && Orientation(node.Contour))) ReversePath(node.Contour); } } else { for (int i = 0; i < m_polyNodes.ChildCount(); ++i) { PolyNode& node = *m_polyNodes.Childs[i]; if (node.m_endtype == etClosedLine && !Orientation(node.Contour)) ReversePath(node.Contour); } } } //------------------------------------------------------------------------------ void ClipperOffset::Execute(Paths& solution, double delta) { solution.clear(); FixOrientations(); DoOffset(delta); //now clean up 'corners' ... Clipper clpr; clpr.AddPaths(m_destPolys, ptSubject, true); if (delta > 0) { clpr.Execute(ctUnion, solution, pftPositive, pftPositive); } else { IntRect r = clpr.GetBounds(); Path outer(4); outer[0] = IntPoint(r.left - 10, r.bottom + 10); outer[1] = IntPoint(r.right + 10, r.bottom + 10); outer[2] = IntPoint(r.right + 10, r.top - 10); outer[3] = IntPoint(r.left - 10, r.top - 10); clpr.AddPath(outer, ptSubject, true); clpr.ReverseSolution(true); clpr.Execute(ctUnion, solution, pftNegative, pftNegative); if (solution.size() > 0) solution.erase(solution.begin()); } } //------------------------------------------------------------------------------ void ClipperOffset::Execute(PolyTree& solution, double delta) { solution.Clear(); FixOrientations(); DoOffset(delta); //now clean up 'corners' ... Clipper clpr; clpr.AddPaths(m_destPolys, ptSubject, true); if (delta > 0) { clpr.Execute(ctUnion, solution, pftPositive, pftPositive); } else { IntRect r = clpr.GetBounds(); Path outer(4); outer[0] = IntPoint(r.left - 10, r.bottom + 10); outer[1] = IntPoint(r.right + 10, r.bottom + 10); outer[2] = IntPoint(r.right + 10, r.top - 10); outer[3] = IntPoint(r.left - 10, r.top - 10); clpr.AddPath(outer, ptSubject, true); clpr.ReverseSolution(true); clpr.Execute(ctUnion, solution, pftNegative, pftNegative); //remove the outer PolyNode rectangle ... if (solution.ChildCount() == 1 && solution.Childs[0]->ChildCount() > 0) { PolyNode* outerNode = solution.Childs[0]; solution.Childs.reserve(outerNode->ChildCount()); solution.Childs[0] = outerNode->Childs[0]; for (int i = 1; i < outerNode->ChildCount(); ++i) solution.AddChild(*outerNode->Childs[i]); } else solution.Clear(); } } //------------------------------------------------------------------------------ void ClipperOffset::DoOffset(double delta) { m_destPolys.clear(); m_delta = delta; //if Zero offset, just copy any CLOSED polygons to m_p and return ... if (NEAR_ZERO(delta)) { m_destPolys.reserve(m_polyNodes.ChildCount()); for (int i = 0; i < m_polyNodes.ChildCount(); i++) { PolyNode& node = *m_polyNodes.Childs[i]; if (node.m_endtype == etClosedPolygon) m_destPolys.push_back(node.Contour); } return; } //see offset_triginometry3.svg in the documentation folder ... if (MiterLimit > 2) m_miterLim = 2/(MiterLimit * MiterLimit); else m_miterLim = 0.5; double y; if (ArcTolerance <= 0.0) y = def_arc_tolerance; else if (ArcTolerance > std::fabs(delta) * def_arc_tolerance) y = std::fabs(delta) * def_arc_tolerance; else y = ArcTolerance; //see offset_triginometry2.svg in the documentation folder ... double steps = pi / std::acos(1 - y / std::fabs(delta)); if (steps > std::fabs(delta) * pi) steps = std::fabs(delta) * pi; //ie excessive precision check m_sin = std::sin(two_pi / steps); m_cos = std::cos(two_pi / steps); m_StepsPerRad = steps / two_pi; if (delta < 0.0) m_sin = -m_sin; m_destPolys.reserve(m_polyNodes.ChildCount() * 2); for (int i = 0; i < m_polyNodes.ChildCount(); i++) { PolyNode& node = *m_polyNodes.Childs[i]; m_srcPoly = node.Contour; int len = (int)m_srcPoly.size(); if (len == 0 || (delta <= 0 && (len < 3 || node.m_endtype != etClosedPolygon))) continue; m_destPoly.clear(); if (len == 1) { if (node.m_jointype == jtRound) { double X = 1.0, Y = 0.0; for (cInt j = 1; j <= steps; j++) { m_destPoly.push_back(IntPoint( Round(m_srcPoly[0].X + X * delta), Round(m_srcPoly[0].Y + Y * delta))); double X2 = X; X = X * m_cos - m_sin * Y; Y = X2 * m_sin + Y * m_cos; } } else { double X = -1.0, Y = -1.0; for (int j = 0; j < 4; ++j) { m_destPoly.push_back(IntPoint( Round(m_srcPoly[0].X + X * delta), Round(m_srcPoly[0].Y + Y * delta))); if (X < 0) X = 1; else if (Y < 0) Y = 1; else X = -1; } } m_destPolys.push_back(m_destPoly); continue; } //build m_normals ... m_normals.clear(); m_normals.reserve(len); for (int j = 0; j < len - 1; ++j) m_normals.push_back(GetUnitNormal(m_srcPoly[j], m_srcPoly[j + 1])); if (node.m_endtype == etClosedLine || node.m_endtype == etClosedPolygon) m_normals.push_back(GetUnitNormal(m_srcPoly[len - 1], m_srcPoly[0])); else m_normals.push_back(DoublePoint(m_normals[len - 2])); if (node.m_endtype == etClosedPolygon) { int k = len - 1; for (int j = 0; j < len; ++j) OffsetPoint(j, k, node.m_jointype); m_destPolys.push_back(m_destPoly); } else if (node.m_endtype == etClosedLine) { int k = len - 1; for (int j = 0; j < len; ++j) OffsetPoint(j, k, node.m_jointype); m_destPolys.push_back(m_destPoly); m_destPoly.clear(); //re-build m_normals ... DoublePoint n = m_normals[len -1]; for (int j = len - 1; j > 0; j--) m_normals[j] = DoublePoint(-m_normals[j - 1].X, -m_normals[j - 1].Y); m_normals[0] = DoublePoint(-n.X, -n.Y); k = 0; for (int j = len - 1; j >= 0; j--) OffsetPoint(j, k, node.m_jointype); m_destPolys.push_back(m_destPoly); } else { int k = 0; for (int j = 1; j < len - 1; ++j) OffsetPoint(j, k, node.m_jointype); IntPoint pt1; if (node.m_endtype == etOpenButt) { int j = len - 1; pt1 = IntPoint((cInt)Round(m_srcPoly[j].X + m_normals[j].X * delta), (cInt)Round(m_srcPoly[j].Y + m_normals[j].Y * delta)); m_destPoly.push_back(pt1); pt1 = IntPoint((cInt)Round(m_srcPoly[j].X - m_normals[j].X * delta), (cInt)Round(m_srcPoly[j].Y - m_normals[j].Y * delta)); m_destPoly.push_back(pt1); } else { int j = len - 1; k = len - 2; m_sinA = 0; m_normals[j] = DoublePoint(-m_normals[j].X, -m_normals[j].Y); if (node.m_endtype == etOpenSquare) DoSquare(j, k); else DoRound(j, k); } //re-build m_normals ... for (int j = len - 1; j > 0; j--) m_normals[j] = DoublePoint(-m_normals[j - 1].X, -m_normals[j - 1].Y); m_normals[0] = DoublePoint(-m_normals[1].X, -m_normals[1].Y); k = len - 1; for (int j = k - 1; j > 0; --j) OffsetPoint(j, k, node.m_jointype); if (node.m_endtype == etOpenButt) { pt1 = IntPoint((cInt)Round(m_srcPoly[0].X - m_normals[0].X * delta), (cInt)Round(m_srcPoly[0].Y - m_normals[0].Y * delta)); m_destPoly.push_back(pt1); pt1 = IntPoint((cInt)Round(m_srcPoly[0].X + m_normals[0].X * delta), (cInt)Round(m_srcPoly[0].Y + m_normals[0].Y * delta)); m_destPoly.push_back(pt1); } else { k = 1; m_sinA = 0; if (node.m_endtype == etOpenSquare) DoSquare(0, 1); else DoRound(0, 1); } m_destPolys.push_back(m_destPoly); } } } //------------------------------------------------------------------------------ void ClipperOffset::OffsetPoint(int j, int& k, JoinType jointype) { m_sinA = (m_normals[k].X * m_normals[j].Y - m_normals[j].X * m_normals[k].Y); if (m_sinA < 0.00005 && m_sinA > -0.00005) return; else if (m_sinA > 1.0) m_sinA = 1.0; else if (m_sinA < -1.0) m_sinA = -1.0; if (m_sinA * m_delta < 0) { m_destPoly.push_back(IntPoint(Round(m_srcPoly[j].X + m_normals[k].X * m_delta), Round(m_srcPoly[j].Y + m_normals[k].Y * m_delta))); m_destPoly.push_back(m_srcPoly[j]); m_destPoly.push_back(IntPoint(Round(m_srcPoly[j].X + m_normals[j].X * m_delta), Round(m_srcPoly[j].Y + m_normals[j].Y * m_delta))); } else switch (jointype) { case jtMiter: { double r = 1 + (m_normals[j].X * m_normals[k].X + m_normals[j].Y * m_normals[k].Y); if (r >= m_miterLim) DoMiter(j, k, r); else DoSquare(j, k); break; } case jtSquare: DoSquare(j, k); break; case jtRound: DoRound(j, k); break; } k = j; } //------------------------------------------------------------------------------ void ClipperOffset::DoSquare(int j, int k) { double dx = std::tan(std::atan2(m_sinA, m_normals[k].X * m_normals[j].X + m_normals[k].Y * m_normals[j].Y) / 4); m_destPoly.push_back(IntPoint( Round(m_srcPoly[j].X + m_delta * (m_normals[k].X - m_normals[k].Y * dx)), Round(m_srcPoly[j].Y + m_delta * (m_normals[k].Y + m_normals[k].X * dx)))); m_destPoly.push_back(IntPoint( Round(m_srcPoly[j].X + m_delta * (m_normals[j].X + m_normals[j].Y * dx)), Round(m_srcPoly[j].Y + m_delta * (m_normals[j].Y - m_normals[j].X * dx)))); } //------------------------------------------------------------------------------ void ClipperOffset::DoMiter(int j, int k, double r) { double q = m_delta / r; m_destPoly.push_back(IntPoint(Round(m_srcPoly[j].X + (m_normals[k].X + m_normals[j].X) * q), Round(m_srcPoly[j].Y + (m_normals[k].Y + m_normals[j].Y) * q))); } //------------------------------------------------------------------------------ void ClipperOffset::DoRound(int j, int k) { double a = std::atan2(m_sinA, m_normals[k].X * m_normals[j].X + m_normals[k].Y * m_normals[j].Y); int steps = (int)Round(m_StepsPerRad * std::fabs(a)); double X = m_normals[k].X, Y = m_normals[k].Y, X2; for (int i = 0; i < steps; ++i) { m_destPoly.push_back(IntPoint( Round(m_srcPoly[j].X + X * m_delta), Round(m_srcPoly[j].Y + Y * m_delta))); X2 = X; X = X * m_cos - m_sin * Y; Y = X2 * m_sin + Y * m_cos; } m_destPoly.push_back(IntPoint( Round(m_srcPoly[j].X + m_normals[j].X * m_delta), Round(m_srcPoly[j].Y + m_normals[j].Y * m_delta))); } //------------------------------------------------------------------------------ // Miscellaneous public functions //------------------------------------------------------------------------------ void Clipper::DoSimplePolygons() { PolyOutList::size_type i = 0; while (i < m_PolyOuts.size()) { OutRec* outrec = m_PolyOuts[i++]; OutPt* op = outrec->Pts; if (!op) continue; do //for each Pt in Polygon until duplicate found do ... { OutPt* op2 = op->Next; while (op2 != outrec->Pts) { if ((op->Pt == op2->Pt) && op2->Next != op && op2->Prev != op) { //split the polygon into two ... OutPt* op3 = op->Prev; OutPt* op4 = op2->Prev; op->Prev = op4; op4->Next = op; op2->Prev = op3; op3->Next = op2; outrec->Pts = op; OutRec* outrec2 = CreateOutRec(); outrec2->Pts = op2; UpdateOutPtIdxs(*outrec2); if (Poly2ContainsPoly1(outrec2->Pts, outrec->Pts)) { //OutRec2 is contained by OutRec1 ... outrec2->IsHole = !outrec->IsHole; outrec2->FirstLeft = outrec; } else if (Poly2ContainsPoly1(outrec->Pts, outrec2->Pts)) { //OutRec1 is contained by OutRec2 ... outrec2->IsHole = outrec->IsHole; outrec->IsHole = !outrec2->IsHole; outrec2->FirstLeft = outrec->FirstLeft; outrec->FirstLeft = outrec2; } else { //the 2 polygons are separate ... outrec2->IsHole = outrec->IsHole; outrec2->FirstLeft = outrec->FirstLeft; } op2 = op; //ie get ready for the Next iteration } op2 = op2->Next; } op = op->Next; } while (op != outrec->Pts); } } //------------------------------------------------------------------------------ void ReversePath(Path& p) { std::reverse(p.begin(), p.end()); } //------------------------------------------------------------------------------ void ReversePaths(Paths& p) { for (Paths::size_type i = 0; i < p.size(); ++i) ReversePath(p[i]); } //------------------------------------------------------------------------------ void SimplifyPolygon(const Path &in_poly, Paths &out_polys, PolyFillType fillType) { Clipper c; c.StrictlySimple(true); c.AddPath(in_poly, ptSubject, true); c.Execute(ctUnion, out_polys, fillType, fillType); } //------------------------------------------------------------------------------ void SimplifyPolygons(const Paths &in_polys, Paths &out_polys, PolyFillType fillType) { Clipper c; c.StrictlySimple(true); c.AddPaths(in_polys, ptSubject, true); c.Execute(ctUnion, out_polys, fillType, fillType); } //------------------------------------------------------------------------------ void SimplifyPolygons(Paths &polys, PolyFillType fillType) { SimplifyPolygons(polys, polys, fillType); } //------------------------------------------------------------------------------ inline double DistanceSqrd(const IntPoint& pt1, const IntPoint& pt2) { double Dx = ((double)pt1.X - pt2.X); double dy = ((double)pt1.Y - pt2.Y); return (Dx*Dx + dy*dy); } //------------------------------------------------------------------------------ double DistanceFromLineSqrd( const IntPoint& pt, const IntPoint& ln1, const IntPoint& ln2) { //The equation of a line in general form (Ax + By + C = 0) //given 2 points (x¹,y¹) & (x²,y²) is ... //(y¹ - y²)x + (x² - x¹)y + (y² - y¹)x¹ - (x² - x¹)y¹ = 0 //A = (y¹ - y²); B = (x² - x¹); C = (y² - y¹)x¹ - (x² - x¹)y¹ //perpendicular distance of point (x³,y³) = (Ax³ + By³ + C)/Sqrt(A² + B²) //see http://en.wikipedia.org/wiki/Perpendicular_distance double A = double(ln1.Y - ln2.Y); double B = double(ln2.X - ln1.X); double C = A * ln1.X + B * ln1.Y; C = A * pt.X + B * pt.Y - C; return (C * C) / (A * A + B * B); } //--------------------------------------------------------------------------- bool SlopesNearCollinear(const IntPoint& pt1, const IntPoint& pt2, const IntPoint& pt3, double distSqrd) { return DistanceFromLineSqrd(pt2, pt1, pt3) < distSqrd; } //------------------------------------------------------------------------------ bool PointsAreClose(IntPoint pt1, IntPoint pt2, double distSqrd) { double Dx = (double)pt1.X - pt2.X; double dy = (double)pt1.Y - pt2.Y; return ((Dx * Dx) + (dy * dy) <= distSqrd); } //------------------------------------------------------------------------------ OutPt* ExcludeOp(OutPt* op) { OutPt* result = op->Prev; result->Next = op->Next; op->Next->Prev = result; result->Idx = 0; return result; } //------------------------------------------------------------------------------ void CleanPolygon(const Path& in_poly, Path& out_poly, double distance) { //distance = proximity in units/pixels below which vertices //will be stripped. Default ~= sqrt(2). size_t size = in_poly.size(); if (size == 0) { out_poly.clear(); return; } OutPt* outPts = new OutPt[size]; for (size_t i = 0; i < size; ++i) { outPts[i].Pt = in_poly[i]; outPts[i].Next = &outPts[(i + 1) % size]; outPts[i].Next->Prev = &outPts[i]; outPts[i].Idx = 0; } double distSqrd = distance * distance; OutPt* op = &outPts[0]; while (op->Idx == 0 && op->Next != op->Prev) { if (PointsAreClose(op->Pt, op->Prev->Pt, distSqrd)) { op = ExcludeOp(op); size--; } else if (PointsAreClose(op->Prev->Pt, op->Next->Pt, distSqrd)) { ExcludeOp(op->Next); op = ExcludeOp(op); size -= 2; } else if (SlopesNearCollinear(op->Prev->Pt, op->Pt, op->Next->Pt, distSqrd)) { op = ExcludeOp(op); size--; } else { op->Idx = 1; op = op->Next; } } if (size < 3) size = 0; out_poly.resize(size); for (size_t i = 0; i < size; ++i) { out_poly[i] = op->Pt; op = op->Next; } delete [] outPts; } //------------------------------------------------------------------------------ void CleanPolygon(Path& poly, double distance) { CleanPolygon(poly, poly, distance); } //------------------------------------------------------------------------------ void CleanPolygons(const Paths& in_polys, Paths& out_polys, double distance) { for (Paths::size_type i = 0; i < in_polys.size(); ++i) CleanPolygon(in_polys[i], out_polys[i], distance); } //------------------------------------------------------------------------------ void CleanPolygons(Paths& polys, double distance) { CleanPolygons(polys, polys, distance); } //------------------------------------------------------------------------------ void Minkowski(const Path& poly, const Path& path, Paths& solution, bool isSum, bool isClosed) { int delta = (isClosed ? 1 : 0); size_t polyCnt = poly.size(); size_t pathCnt = path.size(); Paths pp; pp.reserve(pathCnt); if (isSum) for (size_t i = 0; i < pathCnt; ++i) { Path p; p.reserve(polyCnt); for (size_t j = 0; j < poly.size(); ++j) p.push_back(IntPoint(path[i].X + poly[j].X, path[i].Y + poly[j].Y)); pp.push_back(p); } else for (size_t i = 0; i < pathCnt; ++i) { Path p; p.reserve(polyCnt); for (size_t j = 0; j < poly.size(); ++j) p.push_back(IntPoint(path[i].X - poly[j].X, path[i].Y - poly[j].Y)); pp.push_back(p); } Paths quads; quads.reserve((pathCnt + delta) * (polyCnt + 1)); for (size_t i = 0; i < pathCnt - 1 + delta; ++i) for (size_t j = 0; j < polyCnt; ++j) { Path quad; quad.reserve(4); quad.push_back(pp[i % pathCnt][j % polyCnt]); quad.push_back(pp[(i + 1) % pathCnt][j % polyCnt]); quad.push_back(pp[(i + 1) % pathCnt][(j + 1) % polyCnt]); quad.push_back(pp[i % pathCnt][(j + 1) % polyCnt]); if (!Orientation(quad)) ReversePath(quad); quads.push_back(quad); } Clipper c; c.AddPaths(quads, ptSubject, true); c.Execute(ctUnion, solution, pftNonZero, pftNonZero); } //------------------------------------------------------------------------------ void MinkowskiSum(const Path& pattern, const Path& path, Paths& solution, bool pathIsClosed) { Minkowski(pattern, path, solution, true, pathIsClosed); } //------------------------------------------------------------------------------ void MinkowskiSum(const Path& pattern, const Paths& paths, Paths& solution, PolyFillType pathFillType, bool pathIsClosed) { Clipper c; for (size_t i = 0; i < paths.size(); ++i) { Paths tmp; Minkowski(pattern, paths[i], tmp, true, pathIsClosed); c.AddPaths(tmp, ptSubject, true); } if (pathIsClosed) c.AddPaths(paths, ptClip, true); c.Execute(ctUnion, solution, pathFillType, pathFillType); } //------------------------------------------------------------------------------ void MinkowskiDiff(const Path& poly1, const Path& poly2, Paths& solution) { Minkowski(poly1, poly2, solution, false, true); } //------------------------------------------------------------------------------ enum NodeType {ntAny, ntOpen, ntClosed}; void AddPolyNodeToPolygons(const PolyNode& polynode, NodeType nodetype, Paths& paths) { bool match = true; if (nodetype == ntClosed) match = !polynode.IsOpen(); else if (nodetype == ntOpen) return; if (!polynode.Contour.empty() && match) paths.push_back(polynode.Contour); for (int i = 0; i < polynode.ChildCount(); ++i) AddPolyNodeToPolygons(*polynode.Childs[i], nodetype, paths); } //------------------------------------------------------------------------------ void PolyTreeToPaths(const PolyTree& polytree, Paths& paths) { paths.resize(0); paths.reserve(polytree.Total()); AddPolyNodeToPolygons(polytree, ntAny, paths); } //------------------------------------------------------------------------------ void ClosedPathsFromPolyTree(const PolyTree& polytree, Paths& paths) { paths.resize(0); paths.reserve(polytree.Total()); AddPolyNodeToPolygons(polytree, ntClosed, paths); } //------------------------------------------------------------------------------ void OpenPathsFromPolyTree(PolyTree& polytree, Paths& paths) { paths.resize(0); paths.reserve(polytree.Total()); //Open paths are top level only, so ... for (int i = 0; i < polytree.ChildCount(); ++i) if (polytree.Childs[i]->IsOpen()) paths.push_back(polytree.Childs[i]->Contour); } //------------------------------------------------------------------------------ #ifndef R_PACKAGE std::ostream& operator <<(std::ostream &s, const IntPoint &p) { s << "(" << p.X << "," << p.Y << ")"; return s; } #endif //------------------------------------------------------------------------------ #ifndef R_PACKAGE std::ostream& operator <<(std::ostream &s, const Path &p) { if (p.empty()) return s; Path::size_type last = p.size() -1; for (Path::size_type i = 0; i < last; i++) s << "(" << p[i].X << "," << p[i].Y << "), "; s << "(" << p[last].X << "," << p[last].Y << ")\n"; return s; } #endif //------------------------------------------------------------------------------ #ifndef R_PACKAGE std::ostream& operator <<(std::ostream &s, const Paths &p) { for (Paths::size_type i = 0; i < p.size(); i++) s << p[i]; s << "\n"; return s; } #endif //------------------------------------------------------------------------------ #ifdef use_deprecated void OffsetPaths(const Paths &in_polys, Paths &out_polys, double delta, JoinType jointype, EndType_ endtype, double limit) { ClipperOffset co(limit, limit); co.AddPaths(in_polys, jointype, (EndType)endtype); co.Execute(out_polys, delta); } //------------------------------------------------------------------------------ #endif } //ClipperLib namespace polyclip/src/Makevars.in0000644000175100001440000000004312232341057015007 0ustar hornikusersPKG_CPPFLAGS = @POLYCLIP_CPPFLAGS@ polyclip/src/Makevars.win0000644000175100001440000000002012232342211015162 0ustar hornikusersPKG_CPPFLAGS = polyclip/src/interface.cpp0000644000175100001440000002516612331664166015400 0ustar hornikusers#include "clipper.h" #include #include using namespace std; using namespace ClipperLib; void CopyToPath(int *x, int *y, int n, ClipperLib::Path &p) { p.clear(); p.reserve(n); for (int i = 0; i < n; i++) p.push_back(IntPoint(x[i], y[i])); } void CopyFromPath(ClipperLib::Path &p, int *x, int *y, int nmax, int *n) { int N; *n = N = p.size(); if(N <= nmax) { for (int i = 0; i < N; i++) { x[i] = p[i].X; y[i] = p[i].Y; } } } void ScaleToPath(double *x, double *y, int n, ClipperLib::Path &p, double x0, double y0, double eps) { int i; cInt cxi, cyi; p.clear(); p.reserve(n); for (i = 0; i < n; i++) { cxi = (cInt) ((x[i] - x0)/eps); cyi = (cInt) ((y[i] - y0)/eps); p.push_back(IntPoint(cxi, cyi)); } } void ScaleFromPath(ClipperLib::Path &p, double *x, double *y, int nmax, int *n, double x0, double y0, double eps) { int N; *n = N = p.size(); if(N <= nmax) { for (int i = 0; i < N; i++) { x[i] = x0 + eps * ((double) p[i].X); y[i] = y0 + eps * ((double) p[i].Y); } } } extern "C" { SEXP Cclipbool(SEXP A, SEXP B, SEXP pftA, SEXP pftB, SEXP ct, SEXP X0, SEXP Y0, SEXP Eps ){ int nA, nB, i, n, m, mi, mitrue; double *x, *y, *xx, *yy; SEXP Ai = R_NilValue, Bi = R_NilValue; SEXP out, outi, xouti, youti; ClipType cliptype; PolyFillType filltypeA, filltypeB; int ctcode, pftAcode, pftBcode; double x0, y0, eps; // protect arguments from garbage collector PROTECT(A = AS_LIST(A)); PROTECT(B = AS_LIST(B)); PROTECT(ct = AS_INTEGER(ct)); PROTECT(pftA = AS_INTEGER(pftA)); PROTECT(pftB = AS_INTEGER(pftB)); PROTECT(X0 = AS_NUMERIC(X0)); PROTECT(Y0 = AS_NUMERIC(Y0)); PROTECT(Eps = AS_NUMERIC(Eps)); // lengths of lists nA = LENGTH(A); nB = LENGTH(B); // Initialise object containing n polygons Paths polyA(nA), polyB(nB); // Get scale parameters x0 = *(NUMERIC_POINTER(X0)); y0 = *(NUMERIC_POINTER(Y0)); eps = *(NUMERIC_POINTER(Eps)); // copy data for(i = 0; i < nA; i++) { Ai = VECTOR_ELT(A, i); n = LENGTH(VECTOR_ELT(Ai, 0)); x = NUMERIC_POINTER(VECTOR_ELT(Ai, 0)); y = NUMERIC_POINTER(VECTOR_ELT(Ai, 1)); ScaleToPath(x, y, n, polyA[i], x0, y0, eps); } for(i = 0; i < nB; i++) { Bi = VECTOR_ELT(B, i); n = LENGTH(VECTOR_ELT(Bi, 0)); x = NUMERIC_POINTER(VECTOR_ELT(Bi, 0)); y = NUMERIC_POINTER(VECTOR_ELT(Bi, 1)); ScaleToPath(x, y, n, polyB[i], x0, y0, eps); } // interpret clipping parameters ctcode = *(INTEGER_POINTER(ct)); pftAcode = *(INTEGER_POINTER(pftA)); pftBcode = *(INTEGER_POINTER(pftB)); switch(ctcode) { case 1: cliptype = ctIntersection; break; case 2: cliptype = ctUnion; break; case 3: cliptype = ctDifference; break; case 4: cliptype = ctXor; break; default: error("polyclip: unrecognised code for cliptype"); } switch(pftAcode) { case 1: filltypeA = pftEvenOdd; break; case 2: filltypeA = pftNonZero; break; case 3: filltypeA = pftPositive; break; case 4: filltypeA = pftNegative; break; default: error("polyclip: unrecognised code for fill type A"); } switch(pftBcode) { case 1: filltypeB = pftEvenOdd; break; case 2: filltypeB = pftNonZero; break; case 3: filltypeB = pftPositive; break; case 4: filltypeB = pftNegative; break; default: error("polyclip: unrecognised code for fill type B"); } // perform clipping operation Clipper c; Paths result; c.AddPaths(polyA, ptSubject, true); c.AddPaths(polyB, ptClip, true); c.Execute(cliptype, result, filltypeA, filltypeB); // number of polygons m = result.size(); // initialise output list PROTECT(out = NEW_LIST(m)); // copy data if(m > 0) { for(i = 0; i < m; i++) { mi = result[i].size(); // Allocate space for output PROTECT(outi = NEW_LIST(2)); PROTECT(xouti = NEW_NUMERIC(mi)); PROTECT(youti = NEW_NUMERIC(mi)); xx = NUMERIC_POINTER(xouti); yy = NUMERIC_POINTER(youti); // copy to output space ScaleFromPath(result[i], xx, yy, mi, &mitrue, x0, y0, eps); // Put vectors into list SET_VECTOR_ELT(outi, 0, xouti); SET_VECTOR_ELT(outi, 1, youti); SET_VECTOR_ELT(out, i, outi); } } UNPROTECT(9 + 3*m); // 8 arguments + out + m * (outi, xouti, youti) return(out); } } // offset (dilation) operation for closed polygons extern "C" { SEXP Cpolyoffset(SEXP A, SEXP del, SEXP jt, SEXP mlim, SEXP atol, SEXP X0, SEXP Y0, SEXP Eps ){ int nA, i, n, m, mi, mitrue; double *x, *y, *xx, *yy; SEXP Ai = R_NilValue; SEXP out, outi, xouti, youti; JoinType jointype; int jtcode; double delta, miterlimit, arctolerance; double x0, y0, eps; // protect arguments from garbage collector PROTECT(A = AS_LIST(A)); PROTECT(del = AS_NUMERIC(del)); PROTECT(jt = AS_INTEGER(jt)); PROTECT(mlim = AS_NUMERIC(mlim)); PROTECT(atol = AS_NUMERIC(atol)); PROTECT(X0 = AS_NUMERIC(X0)); PROTECT(Y0 = AS_NUMERIC(Y0)); PROTECT(Eps = AS_NUMERIC(Eps)); // length of list nA = LENGTH(A); // Initialise object containing nA polygons Paths polyA(nA); // Get scale parameters x0 = *(NUMERIC_POINTER(X0)); y0 = *(NUMERIC_POINTER(Y0)); eps = *(NUMERIC_POINTER(Eps)); // copy data for(i = 0; i < nA; i++) { Ai = VECTOR_ELT(A, i); n = LENGTH(VECTOR_ELT(Ai, 0)); x = NUMERIC_POINTER(VECTOR_ELT(Ai, 0)); y = NUMERIC_POINTER(VECTOR_ELT(Ai, 1)); ScaleToPath(x, y, n, polyA[i], x0, y0, eps); } // interpret offset parameters jtcode = *(INTEGER_POINTER(jt)); switch(jtcode) { case 1: jointype = jtSquare; break; case 2: jointype = jtRound; break; case 3: jointype = jtMiter; break; default: error("polyclip: unrecognised code for jointype"); } // get parameters delta = *(NUMERIC_POINTER(del)); // absolute distance miterlimit = *(NUMERIC_POINTER(mlim)); // multiple of 'delta' arctolerance = *(NUMERIC_POINTER(atol)); // absolute distance // rescale delta = delta/eps; arctolerance = arctolerance/eps; // perform offset operation ClipperOffset co; Paths result; co.AddPaths(polyA, jointype, etClosedPolygon); co.MiterLimit = miterlimit; co.ArcTolerance = arctolerance; co.Execute(result, delta); // number of polygons m = result.size(); // initialise output list PROTECT(out = NEW_LIST(m)); // copy data if(m > 0) { for(i = 0; i < m; i++) { mi = result[i].size(); // Allocate space for output PROTECT(outi = NEW_LIST(2)); PROTECT(xouti = NEW_NUMERIC(mi)); PROTECT(youti = NEW_NUMERIC(mi)); xx = NUMERIC_POINTER(xouti); yy = NUMERIC_POINTER(youti); // copy to output space ScaleFromPath(result[i], xx, yy, mi, &mitrue, x0, y0, eps); // Put vectors into list SET_VECTOR_ELT(outi, 0, xouti); SET_VECTOR_ELT(outi, 1, youti); SET_VECTOR_ELT(out, i, outi); } } UNPROTECT(9 + 3*m); // 8 arguments + out + m * (outi, xouti, youti) return(out); } } // offset (dilation) operation for polygonal lines extern "C" { SEXP Clineoffset(SEXP A, SEXP del, SEXP jt, SEXP et, SEXP mlim, SEXP atol, SEXP X0, SEXP Y0, SEXP Eps ){ int nA, i, n, m, mi, mitrue; double *x, *y, *xx, *yy; SEXP Ai = R_NilValue; SEXP out, outi, xouti, youti; JoinType jointype; EndType endtype; int jtcode, etcode; double delta, miterlimit, arctolerance; double x0, y0, eps; // protect arguments from garbage collector PROTECT(A = AS_LIST(A)); PROTECT(del = AS_NUMERIC(del)); PROTECT(jt = AS_INTEGER(jt)); PROTECT(et = AS_INTEGER(et)); PROTECT(mlim = AS_NUMERIC(mlim)); PROTECT(atol = AS_NUMERIC(atol)); PROTECT(X0 = AS_NUMERIC(X0)); PROTECT(Y0 = AS_NUMERIC(Y0)); PROTECT(Eps = AS_NUMERIC(Eps)); // length of list nA = LENGTH(A); // Initialise object containing nA polygonal lines Paths polyA(nA); // Get scale parameters x0 = *(NUMERIC_POINTER(X0)); y0 = *(NUMERIC_POINTER(Y0)); eps = *(NUMERIC_POINTER(Eps)); // copy data for(i = 0; i < nA; i++) { Ai = VECTOR_ELT(A, i); n = LENGTH(VECTOR_ELT(Ai, 0)); x = NUMERIC_POINTER(VECTOR_ELT(Ai, 0)); y = NUMERIC_POINTER(VECTOR_ELT(Ai, 1)); ScaleToPath(x, y, n, polyA[i], x0, y0, eps); } // interpret offset parameters jtcode = *(INTEGER_POINTER(jt)); switch(jtcode) { case 1: jointype = jtSquare; break; case 2: jointype = jtRound; break; case 3: jointype = jtMiter; break; default: error("polyclip: unrecognised code for jointype"); } etcode = *(INTEGER_POINTER(et)); switch(etcode) { case 1: endtype = etClosedPolygon; break; case 2: endtype = etClosedLine; break; case 3: endtype = etOpenButt; break; case 4: endtype = etOpenSquare; break; case 5: endtype = etOpenRound; break; default: error("polyclip: unrecognised code for endtype"); } // get parameters delta = *(NUMERIC_POINTER(del)); // absolute distance miterlimit = *(NUMERIC_POINTER(mlim)); // multiple of 'delta' arctolerance = *(NUMERIC_POINTER(atol)); // absolute distance // rescale delta = delta/eps; arctolerance = arctolerance/eps; // perform offset operation ClipperOffset co; Paths result; co.AddPaths(polyA, jointype, endtype); co.MiterLimit = miterlimit; co.ArcTolerance = arctolerance; co.Execute(result, delta); // number of polygons m = result.size(); // initialise output list PROTECT(out = NEW_LIST(m)); // copy data if(m > 0) { for(i = 0; i < m; i++) { mi = result[i].size(); // Allocate space for output PROTECT(outi = NEW_LIST(2)); PROTECT(xouti = NEW_NUMERIC(mi)); PROTECT(youti = NEW_NUMERIC(mi)); xx = NUMERIC_POINTER(xouti); yy = NUMERIC_POINTER(youti); // copy to output space ScaleFromPath(result[i], xx, yy, mi, &mitrue, x0, y0, eps); // Put vectors into list SET_VECTOR_ELT(outi, 0, xouti); SET_VECTOR_ELT(outi, 1, youti); SET_VECTOR_ELT(out, i, outi); } } UNPROTECT(10 + 3*m); // 9 arguments + out + m * (outi, xouti, youti) return(out); } } polyclip/NAMESPACE0000644000175100001440000000014712243065417013350 0ustar hornikusersexport(polyclip,polyoffset,polylineoffset) useDynLib(polyclip,"Cclipbool","Cpolyoffset","Clineoffset") polyclip/R/0000755000175100001440000000000012230373704012325 5ustar hornikuserspolyclip/R/First.R0000644000175100001440000000050612230373704013540 0ustar hornikusers# First.R # # $Revision: 1.1 $ $Date: 2013/10/19 03:06:59 $ # .onLoad <- function(...) {} .onAttach <- function(libname, pkgname) { vs <- read.dcf(file=system.file("DESCRIPTION", package="polyclip"), fields="Version") msg <- paste("polyclip", vs) packageStartupMessage(msg) invisible(NULL) } polyclip/R/clipper.R0000644000175100001440000001253712331664166014125 0ustar hornikusers# # clipper.R # # Interface to Clipper C++ code # # $Revision: 1.9 $ $Date: 2014/05/05 10:31:06 $ # validxy <- function(P) { is.list(P) && all(c("x","y") %in% names(P)) && is.vector(P$x) && is.vector(P$y) && length(P$x)==length(P$y) } validpoly <- function(P) { is.list(P) && all(unlist(lapply(P, validxy))) } xrange <- function(z) { range(z$x) } yrange <- function(z) { range(z$y) } ensurexydouble <- function(P) lapply(P[c("x", "y")], "storage.mode<-", value="double") ensuredouble <- function(A) lapply(A, ensurexydouble) aspolygonlist <- function(A) lapply(A, "names<-", value=c("x", "y")) polyclip <- function(A, B, op=c("intersection", "union", "minus", "xor"), ..., eps, x0, y0, fillA=c("evenodd", "nonzero", "positive", "negative"), fillB=c("evenodd", "nonzero", "positive", "negative") ) { # validate parameters and convert to integer codes op <- match.arg(op) fillA <- match.arg(fillA) fillB <- match.arg(fillB) ct <- match(op, c("intersection", "union", "minus", "xor")) pftA <- match(fillA, c("evenodd", "nonzero", "positive", "negative")) pftB <- match(fillB, c("evenodd", "nonzero", "positive", "negative")) # validate polygons and rescale if(!validpoly(A)) { if(validxy(A)) A <- list(A) else stop("Argument A should be a list of lists, each containing vectors x,y") } if(!validpoly(B)) { if(validxy(B)) B <- list(B) else stop("Argument B should be a list of lists, each containing vectors x,y") } # determine value of 'eps' if missing if(missing(eps) || missing(x0) || missing(y0)) { xr <- range(range(unlist(lapply(A, xrange))), range(unlist(lapply(B, xrange)))) yr <- range(range(unlist(lapply(A, yrange))), range(unlist(lapply(B, yrange)))) if(missing(eps)) eps <- max(diff(xr), diff(yr))/1e9 if(missing(x0)) x0 <- mean(xr) if(missing(y0)) y0 <- mean(yr) } # call clipper library A <- ensuredouble(A) B <- ensuredouble(B) storage.mode(ct) <- storage.mode(pftA) <- storage.mode(pftB) <- "integer" storage.mode(x0) <- storage.mode(y0) <- storage.mode(eps) <- "double" ans <- .Call("Cclipbool", A, B, pftA, pftB, ct, x0, y0, eps) return(aspolygonlist(ans)) } polyoffset <- function(A, delta, ..., eps, x0, y0, miterlim=2, arctol=abs(delta)/100, jointype = c("square", "round", "miter") ) { # validate parameters and convert to integer codes jointype <- match.arg(jointype) jt <- match(jointype, c("square", "round", "miter")) # validate polygons and rescale if(!validpoly(A)) { if(validxy(A)) A <- list(A) else stop("Argument A should be a list of lists, each containing vectors x,y") } # determine value of 'eps' if missing if(missing(eps) || missing(x0) || missing(y0)) { xr <- range(unlist(lapply(A, xrange))) yr <- range(unlist(lapply(A, yrange))) if(missing(eps)) eps <- max(diff(xr), diff(yr))/1e9 if(missing(x0)) x0 <- mean(xr) if(missing(y0)) y0 <- mean(yr) } # arc tolerance arctol <- max(eps/4, arctol) # call clipper library A <- ensuredouble(A) storage.mode(jt) <- "integer" storage.mode(delta) <- storage.mode(miterlim) <- storage.mode(arctol) <- "double" storage.mode(x0) <- storage.mode(y0) <- storage.mode(eps) <- "double" ans <- .Call("Cpolyoffset", A, delta, jt, miterlim, arctol, x0, y0, eps) return(aspolygonlist(ans)) } polylineoffset <- function(A, delta, ..., eps, x0, y0, miterlim=2, arctol=abs(delta)/100, jointype = c("square", "round", "miter"), endtype = c("closedpolygon", "closedline", "openbutt", "opensquare", "openround", "closed", "butt", "square", "round") ) { ## validate parameters and convert to integer codes jointype <- match.arg(jointype) jt <- match(jointype, c("square", "round", "miter")) endtype <- match.arg(endtype) if(endtype == "closed") endtype <- "closedpolygon" if(endtype %in% c("butt", "square", "round")) endtype <- paste0("open", endtype) et <- match(endtype, c("closedpolygon", "closedline", "openbutt", "opensquare", "openround")) ## validate polygons and rescale if(!validpoly(A)) { if(validxy(A)) A <- list(A) else stop("Argument A should be a list of lists, each containing vectors x,y") } ## determine value of 'eps' if missing if(missing(eps) || missing(x0) || missing(y0)) { xr <- range(unlist(lapply(A, xrange))) yr <- range(unlist(lapply(A, yrange))) if(missing(eps)) eps <- max(diff(xr), diff(yr))/1e9 if(missing(x0)) x0 <- mean(xr) if(missing(y0)) y0 <- mean(yr) } # arc tolerance arctol <- max(eps/4, arctol) # call clipper library A <- ensuredouble(A) storage.mode(jt) <- storage.mode(et) <- "integer" storage.mode(delta) <- storage.mode(miterlim) <- storage.mode(arctol) <- "double" storage.mode(x0) <- storage.mode(y0) <- storage.mode(eps) <- "double" ans <- .Call("Clineoffset", A, delta, jt, et, miterlim, arctol, x0, y0, eps) return(aspolygonlist(ans)) } polyclip/MD50000644000175100001440000000140212331703674012436 0ustar hornikusersdc5363ffb3b57cc71bc92e401895fc0a *DESCRIPTION 70d2fc9ae1dee3960af32297d0b45f48 *NAMESPACE b535b8509c972c182199729d532c0c91 *R/First.R 8bad97aed57bbe673138a71d16ce08db *R/clipper.R 14c7a9772d3b48055cbd8ddd053abbf3 *cleanup d2bb2e20482f26d111024a17ab0fcd42 *configure 25e7b4dfccc08e8e959b4f00c6a340dd *configure.ac d41d8cd98f00b204e9800998ecf8427e *configure.win 77ff03056e56e99f6e9ced5522825071 *man/polyclip.Rd 61f914c71a573b8aff7f3acbef19b487 *man/polylineoffset.Rd da290e0a9b60e36ff6dfccdbecf3d077 *man/polyoffset.Rd 71437fc8b92fdc974f383f0ca7166993 *src/Makevars.in 8f8376f2c18541e4e8bbaf8734b11572 *src/Makevars.win a0b37e25234c7708927244f7d62ee88a *src/clipper.cpp 741855c0941274085011272d935eee60 *src/clipper.h 681771f4b58cfddefdf183f7cfe22272 *src/interface.cpp polyclip/DESCRIPTION0000644000175100001440000000142312331703674013637 0ustar hornikusersPackage: polyclip Version: 1.3-0 Date: 2014-05-04 Title: Polygon Clipping Author: Angus Johnson. Ported to R by Adrian Baddeley and Brian Ripley. Maintainer: Adrian Baddeley Depends: R (>= 3.0.0) Description: R port of the Clipper library. Performs polygon clipping operations (intersection, union, set minus, set difference) for polygonal regions of arbitrary complexity, including holes. Also computes offset polygons (spatial buffer zones, morphological dilations, Minkowski dilations) for polygonal regions and polygonal lines. License: BSL URL: http://www.angusj.com/delphi/clipper.php LazyData: true LazyLoad: true ByteCompile: true Packaged: 2014-05-05 10:31:18 UTC; adrian NeedsCompilation: yes Repository: CRAN Date/Publication: 2014-05-05 14:44:44 polyclip/configure0000755000175100001440000035155712331426577014064 0ustar hornikusers#! /bin/sh # Guess values for system-dependent variables and create Makefiles. # Generated by GNU Autoconf 2.69 for polyclip 1.1-0. # # # Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. # # # This configure script is free software; the Free Software Foundation # gives unlimited permission to copy, distribute and modify it. ## -------------------- ## ## M4sh Initialization. ## ## -------------------- ## # Be more Bourne compatible DUALCASE=1; export DUALCASE # for MKS sh if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. 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See Details.} \item{delta}{Distance over which the boundary should be shifted.} \item{\dots}{Ignored.} \item{eps}{Spatial resolution for coordinates.} \item{x0,y0}{Spatial origin for coordinates.} \item{miterlim,arctol}{Tolerance parameters: see Details.} \item{jointype}{ Type of join operation to be performed at each vertex. See Details. } } \value{ Data specifying polygons, in the same format as \code{A}. } \details{ This is part of an interface to the polygon-clipping library \code{Clipper} written by Angus Johnson. Given a polygonal region \code{A}, the function \code{polyoffset} computes the offset region (also known as the morphological dilation, guard region, buffer region, etc) obtained by shifting the boundary of \code{A} outward by the distance \code{delta}. The argument \code{A} represents a region in the Euclidean plane bounded by closed polygons. The format is either \itemize{ \item a list containing two components \code{x} and \code{y} giving the coordinates of the vertices of a single polygon. The last vertex should not repeat the first vertex. \item a \code{list} of \code{list(x,y)} structures giving the coordinates of the vertices of several polygons. } Note that calculations are performed in integer arithmetic: see below. The argument \code{jointype} determines what happens at the convex vertices of \code{A}. See the Examples for illustrations. \itemize{ \item \code{jointype="round"}: a circular arc is generated. \item \code{jointype="square"}: the circular arc is replaced by a single straight line. \item \code{jointype="miter"}: the circular arc is omitted entirely, or replaced by a single straight line. } The arguments \code{miterlim} and \code{arctol} are tolerances. \itemize{ \item if \code{jointype="round"}, then \code{arctol} is the maximum permissible distance between the true circular arc and its discretised approximation. \item if \code{jointype="miter"}, then \code{miterlimit * delta} is the maximum permissible displacement between the original vertex and the corresponding offset vertex if the circular arc were to be omitted entirely. The default is \code{miterlimit=2} which is also the minimum value. } \bold{Calculations are performed in integer arithmetic} after subtracting \code{x0,y0} from the coordinates, dividing by \code{eps}, and rounding to the nearest 64-bit integer. Thus, \code{eps} is the effective spatial resolution. The default values ensure reasonable accuracy. } \author{Angus Johnson. Ported to \R by Adrian Baddeley \email{Adrian.Baddeley@uwa.edu.au}. } \examples{ A <- list(list(x=c(4,8,8,2,6), y=c(3,3,8,8,6))) plot(c(0,10),c(0,10), type="n", main="jointype=square", axes=FALSE, xlab="", ylab="") polygon(A[[1]], col="grey") C <- polyoffset(A, 1, jointype="square") polygon(C[[1]], lwd=3, border="blue") plot(c(0,10),c(0,10), type="n", main="jointype=round", axes=FALSE, xlab="", ylab="") polygon(A[[1]], col="grey") C <- polyoffset(A, 1, jointype="round") polygon(C[[1]], lwd=3, border="blue") plot(c(0,10),c(0,10), type="n", main="jointype=miter", axes=FALSE, xlab="", ylab="") polygon(A[[1]], col="grey") C <- polyoffset(A, 1, jointype="miter") polygon(C[[1]], lwd=3, border="blue") } \references{ Clipper Website: \url{http://www.angusj.com} Vatti, B. (1992) A generic solution to polygon clipping. \emph{Communications of the ACM} \bold{35} (7) 56--63. \url{http://portal.acm.org/citation.cfm?id=129906} Agoston, M.K. (2005) \emph{Computer graphics and geometric modeling: implementation and algorithms.} Springer-Verlag. \url{http://books.google.com/books?q=vatti+clipping+agoston} Chen, X. and McMains, S. (2005) Polygon Offsetting by Computing Winding Numbers. Paper no. DETC2005-85513 in \emph{Proceedings of IDETC/CIE 2005} (ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference), pp. 565--575 \url{http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf} } \keyword{spatial} \keyword{math} polyclip/man/polyclip.Rd0000644000175100001440000001113312230373704015020 0ustar hornikusers\name{polyclip} \alias{polyclip} \title{Polygon Clipping} \description{ Find intersection, union or set difference of two polygonal regions. } \usage{ polyclip(A, B, op=c("intersection", "union", "minus", "xor"), \dots, eps, x0, y0, fillA=c("evenodd", "nonzero", "positive", "negative"), fillB=c("evenodd", "nonzero", "positive", "negative")) } \arguments{ \item{A,B}{ Data specifying polygons. See Details. } \item{op}{Set operation to be performed to combine \code{A} and \code{B}.} \item{\dots}{Ignored.} \item{eps}{Spatial resolution for coordinates.} \item{x0,y0}{Spatial origin for coordinates.} \item{fillA,fillB}{Polygon-filling rule for \code{A} and \code{B}.} } \value{ Data specifying polygons, in the same format as \code{A} and \code{B}. } \details{ This is an interface to the polygon-clipping library \code{Clipper} written by Angus Johnson. Given two polygonal regions \code{A} and \code{B} the function \code{polyclip} performs one of the following geometrical operations: \itemize{ \item \code{op="intersection"}: set intersection of \code{A} and \code{B}. \item \code{op="union"}: set union of \code{A} and \code{B}. \item \code{op="minus"}: set subtraction (sometimes called set difference): the region covered by \code{A} that is not covered by \code{B}. \item \code{op="xor"}: exclusive set difference (sometimes called exclusive-or): the region covered by exactly one of the sets \code{A} and \code{B}. } Each of the arguments \code{A} and \code{B} represents a region in the Euclidean plane bounded by closed polygons. The format of these arguments is either \itemize{ \item a list containing two components \code{x} and \code{y} giving the coordinates of the vertices of a single polygon. The last vertex should not repeat the first vertex. \item a \code{list} of \code{list(x,y)} structures giving the coordinates of the vertices of several polygons. } Note that calculations are performed in integer arithmetic: see below. The interpretation of the polygons depends on the \emph{polygon-filling rule} for \code{A} and \code{B} that is specified by the arguments \code{fillA} and \code{fillB} respectively. \describe{ \item{Even-Odd:}{ The default rule is \emph{even-odd} filling, in which every polygon edge demarcates a boundary between the inside and outside of the region. It does not matter whether a polygon is traversed in clockwise or anticlockwise order. Holes are determined simply by their locations relative to other polygons such that outers contain holes and holes contain outers. } \item{Non-Zero:}{ Under the \emph{nonzero} filling rule, an outer boundary must be traversed in clockwise order, while a hole must be traversed in anticlockwise order. } \item{Positive:}{ Under the \code{positive} filling rule, the filled region consists of all points with positive winding number. } \item{Negative:}{ Under the \code{negative} filling rule, the filled region consists of all points with negative winding number. } } \bold{Calculations are performed in integer arithmetic} after subtracting \code{x0,y0} from the coordinates, dividing by \code{eps}, and rounding to the nearest integer. Thus, \code{eps} is the effective spatial resolution. The default values ensure reasonable accuracy. } \author{Angus Johnson. Ported to \R by Adrian Baddeley \email{Adrian.Baddeley@uwa.edu.au}. } \examples{ A <- list(list(x=1:10, y=c(1:5,5:1))) B <- list(list(x=c(2,8,8,2),y=c(0,0,10,10))) plot(c(0,10),c(0,10), type="n", axes=FALSE, xlab="", ylab="") polygon(A[[1]]) polygon(B[[1]]) C <- polyclip(A, B) polygon(C[[1]], lwd=3, col=3) } \references{ Clipper Website: \url{http://www.angusj.com} Vatti, B. (1992) A generic solution to polygon clipping. \emph{Communications of the ACM} \bold{35} (7) 56--63. \url{http://portal.acm.org/citation.cfm?id=129906} Agoston, M.K. (2005) \emph{Computer graphics and geometric modeling: implementation and algorithms.} Springer-Verlag. \url{http://books.google.com/books?q=vatti+clipping+agoston} Chen, X. and McMains, S. (2005) Polygon Offsetting by Computing Winding Numbers. Paper no. DETC2005-85513 in \emph{Proceedings of IDETC/CIE 2005} (ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference), pp. 565--575 \url{http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf} } \keyword{spatial} \keyword{math} polyclip/man/polylineoffset.Rd0000644000175100001440000001332512331426436016237 0ustar hornikusers\name{polylineoffset} \alias{polylineoffset} \title{Polygonal Line Offset} \description{ Given a list of polygonal lines, compute the offset region (guard region, buffer region, morphological dilation) formed by shifting the boundary outwards by a specified distance. } \usage{ polylineoffset(A, delta, \dots, eps, x0, y0, miterlim=2, arctol=abs(delta)/100, jointype=c("square", "round", "miter"), endtype = c("closedpolygon", "closedline", "openbutt", "opensquare", "openround", "closed", "butt", "square", "round")) } \arguments{ \item{A}{Data specifying polygons. See Details.} \item{delta}{Distance over which the boundary should be shifted.} \item{\dots}{Ignored.} \item{eps}{Spatial resolution for coordinates.} \item{x0,y0}{Spatial origin for coordinates.} \item{miterlim,arctol}{Tolerance parameters: see Details.} \item{jointype}{ Type of join operation to be performed at each vertex. See Details. } \item{endtype}{ Type of geometrical operation to be performed at the start and end of each line. See Details. } } \value{ Data specifying polygons, in the same format as \code{A}. } \details{ This is part of an interface to the polygon-clipping library \code{Clipper} written by Angus Johnson. Given a list of polygonal lines \code{A}, the function \code{polylineoffset} computes the offset region (also known as the morphological dilation, guard region, buffer region, etc) obtained by shifting the boundary of \code{A} outward by the distance \code{delta}. The argument \code{A} represents a polygonal line (broken line) or a list of broken lines. The format is either \itemize{ \item a list containing two components \code{x} and \code{y} giving the coordinates of successive vertices of the broken line. \item a \code{list} of \code{list(x,y)} structures giving the coordinates of the vertices of several broken lines. } Lines may be self-intersecting and different lines may intersect each other. Note that calculations are performed in integer arithmetic: see below. The argument \code{jointype} determines what happens at the vertices of each line. See the Examples for illustrations. \itemize{ \item \code{jointype="round"}: a circular arc is generated. \item \code{jointype="square"}: the circular arc is replaced by a single straight line. \item \code{jointype="miter"}: the circular arc is omitted entirely, or replaced by a single straight line. } The argument \code{endtype} determines what happens at the beginning and end of each line. See the Examples for illustrations. \itemize{ \item \code{endtype="closedpolygon"}: ends are joined together (using the \code{jointype} value) and the path filled as a polygon. \item \code{endtype="closedline"}: ends are joined together (using the \code{jointype} value) and the path is filled as a polyline. \item \code{endtype="openbutt"}: ends are squared off abruptly. \item \code{endtype="opensquare"}: ends are squared off at distance \code{delta}. \item \code{endtype="openround"}: ends are replaced by a semicircular arc. } The values \code{endtype="closed"}, \code{"butt"}, \code{"square"} and \code{"round"} are deprecated; they are equivalent to \code{endtype="closedpolygon"}, \code{"openbutt"}, \code{"opensquare"} and \code{"openround"} respectively. The arguments \code{miterlim} and \code{arctol} are tolerances. \itemize{ \item if \code{jointype="round"}, then \code{arctol} is the maximum permissible distance between the true circular arc and its discretised approximation. \item if \code{jointype="miter"}, then \code{miterlimit * delta} is the maximum permissible displacement between the original vertex and the corresponding offset vertex if the circular arc were to be omitted entirely. The default is \code{miterlimit=2} which is also the minimum value. } \bold{Calculations are performed in integer arithmetic} after subtracting \code{x0,y0} from the coordinates, dividing by \code{eps}, and rounding to the nearest integer. Thus, \code{eps} is the effective spatial resolution. The default values ensure reasonable accuracy. } \author{Angus Johnson. Ported to \R by Adrian Baddeley \email{Adrian.Baddeley@uwa.edu.au}. } \examples{ A <- list(list(x=c(4,8,8,2,6), y=c(3,3,8,8,6))) plot(c(0,10),c(0,10), type="n", main="jointype=square, endtype=opensquare", axes=FALSE, xlab="", ylab="") lines(A[[1]], col="grey", lwd=3) C <- polylineoffset(A, 0.5, jointype="square", endtype="opensquare") polygon(C[[1]], lwd=3, border="blue") plot(c(0,10),c(0,10), type="n", main="jointype=round, endtype=openround", axes=FALSE, xlab="", ylab="") lines(A[[1]], col="grey", lwd=3) C <- polylineoffset(A, 0.5, jointype="round", endtype="openround") polygon(C[[1]], lwd=3, border="blue") } \references{ Clipper Website: \url{http://www.angusj.com} Vatti, B. (1992) A generic solution to polygon clipping. \emph{Communications of the ACM} \bold{35} (7) 56--63. \url{http://portal.acm.org/citation.cfm?id=129906} Agoston, M.K. (2005) \emph{Computer graphics and geometric modeling: implementation and algorithms.} Springer-Verlag. \url{http://books.google.com/books?q=vatti+clipping+agoston} Chen, X. and McMains, S. (2005) Polygon Offsetting by Computing Winding Numbers. Paper no. DETC2005-85513 in \emph{Proceedings of IDETC/CIE 2005} (ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference), pp. 565--575 \url{http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf} } \keyword{spatial} \keyword{math} polyclip/configure.win0000755000175100001440000000000012224433175014617 0ustar hornikuserspolyclip/cleanup0000755000175100001440000000005412224433602013475 0ustar hornikusers#!/bin/sh rm -f config.* src/Makevars