466 lines
18 KiB
C++
466 lines
18 KiB
C++
/*******************************************************************************
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* *
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* Author : Angus Johnson *
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* Version : 6.2.9 *
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* Date : 16 February 2015 *
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* Website : http://www.angusj.com *
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* Copyright : Angus Johnson 2010-2015 *
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* *
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* License: *
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* Use, modification & distribution is subject to Boost Software License Ver 1. *
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* http://www.boost.org/LICENSE_1_0.txt *
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* *
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* Attributions: *
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* The code in this library is an extension of Bala Vatti's clipping algorithm: *
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* "A generic solution to polygon clipping" *
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* Communications of the ACM, Vol 35, Issue 7 (July 1992) pp 56-63. *
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* http://portal.acm.org/citation.cfm?id=129906 *
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* *
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* Computer graphics and geometric modeling: implementation and algorithms *
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* By Max K. Agoston *
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* Springer; 1 edition (January 4, 2005) *
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* http://books.google.com/books?q=vatti+clipping+agoston *
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* *
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* See also: *
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* "Polygon Offsetting by Computing Winding Numbers" *
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* Paper no. DETC2005-85513 pp. 565-575 *
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* ASME 2005 International Design Engineering Technical Conferences *
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* and Computers and Information in Engineering Conference (IDETC/CIE2005) *
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* September 24-28, 2005 , Long Beach, California, USA *
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* http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf *
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* *
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*******************************************************************************/
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#ifndef clipper_hpp
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#define clipper_hpp
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#define CLIPPER_VERSION "6.2.6"
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//use_int32: When enabled 32bit ints are used instead of 64bit ints. This
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//improve performance but coordinate values are limited to the range +/- 46340
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//#define use_int32
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//use_xyz: adds a Z member to IntPoint. Adds a minor cost to perfomance.
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//#define use_xyz
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//use_lines: Enables line clipping. Adds a very minor cost to performance.
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#define use_lines
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//use_deprecated: Enables temporary support for the obsolete functions
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//#define use_deprecated
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#include <vector>
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#include <deque>
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#include <stdexcept>
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#include <cstring>
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#include <cstdlib>
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#include <ostream>
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#include <functional>
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#include <queue>
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namespace ClipperLib {
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enum ClipType { ctIntersection, ctUnion, ctDifference, ctXor };
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enum PolyType { ptSubject, ptClip };
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//By far the most widely used winding rules for polygon filling are
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//EvenOdd & NonZero (GDI, GDI+, XLib, OpenGL, Cairo, AGG, Quartz, SVG, Gr32)
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//Others rules include Positive, Negative and ABS_GTR_EQ_TWO (only in OpenGL)
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//see http://glprogramming.com/red/chapter11.html
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enum PolyFillType { pftEvenOdd, pftNonZero, pftPositive, pftNegative };
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#ifdef use_int32
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typedef int cInt;
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static cInt const loRange = 0x7FFF;
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static cInt const hiRange = 0x7FFF;
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#else
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typedef signed long long cInt;
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static cInt const loRange = 0x3FFFFFFF;
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static cInt const hiRange = 0x3FFFFFFFFFFFFFFFLL;
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typedef signed long long long64; //used by Int128 class
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typedef unsigned long long ulong64;
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#endif
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struct IntPoint {
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cInt X;
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cInt Y;
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#ifdef use_xyz
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cInt Z;
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IntPoint(cInt x = 0, cInt y = 0, cInt z = 0): X(x), Y(y), Z(z) {};
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#else
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IntPoint(cInt x = 0, cInt y = 0): X(x), Y(y) {};
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#endif
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friend inline bool operator== (const IntPoint& a, const IntPoint& b)
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{
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return a.X == b.X && a.Y == b.Y;
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}
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friend inline bool operator!= (const IntPoint& a, const IntPoint& b)
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{
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return a.X != b.X || a.Y != b.Y;
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}
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};
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//------------------------------------------------------------------------------
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typedef std::vector< IntPoint > Path;
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typedef std::vector< Path > Paths;
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inline Path& operator <<(Path& poly, const IntPoint& p) {poly.push_back(p); return poly;}
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inline Paths& operator <<(Paths& polys, const Path& p) {polys.push_back(p); return polys;}
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std::ostream& operator <<(std::ostream &s, const IntPoint &p);
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std::ostream& operator <<(std::ostream &s, const Path &p);
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std::ostream& operator <<(std::ostream &s, const Paths &p);
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struct DoublePoint
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{
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double X;
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double Y;
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DoublePoint(double x = 0, double y = 0) : X(x), Y(y) {}
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DoublePoint(IntPoint ip) : X((double)ip.X), Y((double)ip.Y) {}
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};
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//------------------------------------------------------------------------------
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#ifdef use_xyz
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typedef void (*ZFillCallback)(IntPoint& e1bot, IntPoint& e1top, IntPoint& e2bot, IntPoint& e2top, IntPoint& pt);
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#endif
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enum InitOptions {ioReverseSolution = 1, ioStrictlySimple = 2, ioPreserveCollinear = 4};
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enum JoinType {jtSquare, jtRound, jtMiter};
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enum EndType {etClosedPolygon, etClosedLine, etOpenButt, etOpenSquare, etOpenRound};
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class PolyNode;
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typedef std::vector< PolyNode* > PolyNodes;
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class PolyNode
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{
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public:
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PolyNode() : Childs(), Parent(0), Index(0), m_IsOpen(false) {}
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virtual ~PolyNode(){};
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Path Contour;
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PolyNodes Childs;
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PolyNode* Parent;
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// Traversal of the polygon tree in a depth first fashion.
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PolyNode* GetNext() const { return Childs.empty() ? GetNextSiblingUp() : Childs.front(); }
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bool IsHole() const;
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bool IsOpen() const { return m_IsOpen; }
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int ChildCount() const { return (int)Childs.size(); }
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private:
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unsigned Index; //node index in Parent.Childs
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bool m_IsOpen;
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JoinType m_jointype;
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EndType m_endtype;
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PolyNode* GetNextSiblingUp() const { return Parent ? ((Index == Parent->Childs.size() - 1) ? Parent->GetNextSiblingUp() : Parent->Childs[Index + 1]) : nullptr; }
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void AddChild(PolyNode& child);
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friend class Clipper; //to access Index
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friend class ClipperOffset;
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friend class PolyTree; //to implement the PolyTree::move operator
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};
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class PolyTree: public PolyNode
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{
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public:
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PolyTree() {}
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PolyTree(PolyTree &&src) { *this = std::move(src); }
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virtual ~PolyTree(){Clear();};
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PolyTree& operator=(PolyTree &&src) {
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AllNodes = std::move(src.AllNodes);
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Contour = std::move(src.Contour);
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Childs = std::move(src.Childs);
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Parent = nullptr;
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Index = src.Index;
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m_IsOpen = src.m_IsOpen;
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m_jointype = src.m_jointype;
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m_endtype = src.m_endtype;
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for (size_t i = 0; i < Childs.size(); ++ i)
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Childs[i]->Parent = this;
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return *this;
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}
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PolyNode* GetFirst() const { return Childs.empty() ? nullptr : Childs.front(); }
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void Clear() { AllNodes.clear(); Childs.clear(); }
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int Total() const;
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private:
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PolyTree(const PolyTree &src) = delete;
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PolyTree& operator=(const PolyTree &src) = delete;
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std::vector<PolyNode> AllNodes;
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friend class Clipper; //to access AllNodes
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};
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double Area(const Path &poly);
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inline bool Orientation(const Path &poly) { return Area(poly) >= 0; }
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int PointInPolygon(const IntPoint &pt, const Path &path);
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void SimplifyPolygon(const Path &in_poly, Paths &out_polys, PolyFillType fillType = pftEvenOdd);
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void SimplifyPolygons(const Paths &in_polys, Paths &out_polys, PolyFillType fillType = pftEvenOdd);
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void SimplifyPolygons(Paths &polys, PolyFillType fillType = pftEvenOdd);
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void CleanPolygon(const Path& in_poly, Path& out_poly, double distance = 1.415);
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void CleanPolygon(Path& poly, double distance = 1.415);
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void CleanPolygons(const Paths& in_polys, Paths& out_polys, double distance = 1.415);
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void CleanPolygons(Paths& polys, double distance = 1.415);
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void MinkowskiSum(const Path& pattern, const Path& path, Paths& solution, bool pathIsClosed);
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void MinkowskiSum(const Path& pattern, const Paths& paths, Paths& solution, bool pathIsClosed);
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void MinkowskiDiff(const Path& poly1, const Path& poly2, Paths& solution);
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void PolyTreeToPaths(const PolyTree& polytree, Paths& paths);
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void ClosedPathsFromPolyTree(const PolyTree& polytree, Paths& paths);
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void OpenPathsFromPolyTree(PolyTree& polytree, Paths& paths);
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void ReversePath(Path& p);
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void ReversePaths(Paths& p);
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struct IntRect { cInt left; cInt top; cInt right; cInt bottom; };
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//enums that are used internally ...
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enum EdgeSide { esLeft = 1, esRight = 2};
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// namespace Internal {
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//forward declarations (for stuff used internally) ...
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struct TEdge {
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// Bottom point of this edge (with minimum Y).
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IntPoint Bot;
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// Current position.
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IntPoint Curr;
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// Top point of this edge (with maximum Y).
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IntPoint Top;
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// Vector from Bot to Top.
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IntPoint Delta;
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// Slope (dx/dy). For horiontal edges, the slope is set to HORIZONTAL (-1.0E+40).
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double Dx;
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PolyType PolyTyp;
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EdgeSide Side;
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// Winding number delta. 1 or -1 depending on winding direction, 0 for open paths and flat closed paths.
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int WindDelta;
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int WindCnt;
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int WindCnt2; //winding count of the opposite polytype
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int OutIdx;
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// Next edge in the input path.
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TEdge *Next;
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// Previous edge in the input path.
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TEdge *Prev;
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// Next edge in the Local Minima List chain.
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TEdge *NextInLML;
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TEdge *NextInAEL;
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TEdge *PrevInAEL;
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TEdge *NextInSEL;
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TEdge *PrevInSEL;
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};
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struct IntersectNode {
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IntersectNode(TEdge *Edge1, TEdge *Edge2, IntPoint Pt) :
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Edge1(Edge1), Edge2(Edge2), Pt(Pt) {}
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TEdge *Edge1;
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TEdge *Edge2;
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IntPoint Pt;
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};
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struct LocalMinimum {
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cInt Y;
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TEdge *LeftBound;
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TEdge *RightBound;
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};
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struct OutPt;
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struct OutRec;
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struct Join {
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Join(OutPt *OutPt1, OutPt *OutPt2, IntPoint OffPt) :
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OutPt1(OutPt1), OutPt2(OutPt2), OffPt(OffPt) {}
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OutPt *OutPt1;
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OutPt *OutPt2;
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IntPoint OffPt;
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};
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// }; // namespace Internal
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//------------------------------------------------------------------------------
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//ClipperBase is the ancestor to the Clipper class. It should not be
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//instantiated directly. This class simply abstracts the conversion of sets of
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//polygon coordinates into edge objects that are stored in a LocalMinima list.
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class ClipperBase
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{
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public:
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ClipperBase() : m_UseFullRange(false), m_HasOpenPaths(false) {}
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virtual ~ClipperBase() { Clear(); }
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bool AddPath(const Path &pg, PolyType PolyTyp, bool Closed);
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bool AddPaths(const Paths &ppg, PolyType PolyTyp, bool Closed);
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virtual void Clear();
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IntRect GetBounds();
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// By default, when three or more vertices are collinear in input polygons (subject or clip), the Clipper object removes the 'inner' vertices before clipping.
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// When enabled the PreserveCollinear property prevents this default behavior to allow these inner vertices to appear in the solution.
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bool PreserveCollinear() const {return m_PreserveCollinear;};
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void PreserveCollinear(bool value) {m_PreserveCollinear = value;};
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protected:
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bool AddPathInternal(const Path &pg, int highI, PolyType PolyTyp, bool Closed, TEdge* edges);
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TEdge* AddBoundsToLML(TEdge *e, bool IsClosed);
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virtual void Reset();
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TEdge* ProcessBound(TEdge* E, bool IsClockwise);
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TEdge* DescendToMin(TEdge *&E);
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void AscendToMax(TEdge *&E, bool Appending, bool IsClosed);
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// Local minima (Y, left edge, right edge) sorted by ascending Y.
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std::vector<LocalMinimum> m_MinimaList;
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// True if the input polygons have abs values higher than loRange, but lower than hiRange.
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// False if the input polygons have abs values lower or equal to loRange.
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bool m_UseFullRange;
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// A vector of edges per each input path.
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std::vector<std::vector<TEdge>> m_edges;
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// Don't remove intermediate vertices of a collinear sequence of points.
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bool m_PreserveCollinear;
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// Is any of the paths inserted by AddPath() or AddPaths() open?
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bool m_HasOpenPaths;
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};
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//------------------------------------------------------------------------------
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class Clipper : public virtual ClipperBase
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{
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public:
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Clipper(int initOptions = 0);
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~Clipper() { Clear(); }
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bool Execute(ClipType clipType,
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Paths &solution,
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PolyFillType fillType = pftEvenOdd)
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{ return Execute(clipType, solution, fillType, fillType); }
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bool Execute(ClipType clipType,
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Paths &solution,
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PolyFillType subjFillType,
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PolyFillType clipFillType);
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bool Execute(ClipType clipType,
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PolyTree &polytree,
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PolyFillType fillType = pftEvenOdd)
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{ return Execute(clipType, polytree, fillType, fillType); }
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bool Execute(ClipType clipType,
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PolyTree &polytree,
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PolyFillType subjFillType,
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PolyFillType clipFillType);
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bool ReverseSolution() const { return m_ReverseOutput; };
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void ReverseSolution(bool value) {m_ReverseOutput = value;};
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bool StrictlySimple() const {return m_StrictSimple;};
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void StrictlySimple(bool value) {m_StrictSimple = value;};
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//set the callback function for z value filling on intersections (otherwise Z is 0)
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#ifdef use_xyz
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void ZFillFunction(ZFillCallback zFillFunc) { m_ZFill = zFillFunc; }
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#endif
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protected:
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void Reset();
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virtual bool ExecuteInternal();
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private:
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std::vector<OutRec*> m_PolyOuts;
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std::vector<Join> m_Joins;
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std::vector<Join> m_GhostJoins;
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std::vector<IntersectNode> m_IntersectList;
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ClipType m_ClipType;
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// A priority queue (a binary heap) of Y coordinates.
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std::priority_queue<cInt> m_Scanbeam;
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// Maxima are collected by ProcessEdgesAtTopOfScanbeam(), consumed by ProcessHorizontal().
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std::vector<cInt> m_Maxima;
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TEdge *m_ActiveEdges;
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TEdge *m_SortedEdges;
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PolyFillType m_ClipFillType;
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PolyFillType m_SubjFillType;
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bool m_ReverseOutput;
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// Does the result go to a PolyTree or Paths?
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bool m_UsingPolyTree;
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bool m_StrictSimple;
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#ifdef use_xyz
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ZFillCallback m_ZFill; //custom callback
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#endif
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void SetWindingCount(TEdge& edge) const;
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bool IsEvenOddFillType(const TEdge& edge) const
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{ return (edge.PolyTyp == ptSubject) ? m_SubjFillType == pftEvenOdd : m_ClipFillType == pftEvenOdd; }
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bool IsEvenOddAltFillType(const TEdge& edge) const
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{ return (edge.PolyTyp == ptSubject) ? m_ClipFillType == pftEvenOdd : m_SubjFillType == pftEvenOdd; }
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void InsertLocalMinimaIntoAEL(const cInt botY);
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void InsertEdgeIntoAEL(TEdge *edge, TEdge* startEdge);
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void AddEdgeToSEL(TEdge *edge);
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void CopyAELToSEL();
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void DeleteFromSEL(TEdge *e);
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void DeleteFromAEL(TEdge *e);
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void UpdateEdgeIntoAEL(TEdge *&e);
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void SwapPositionsInSEL(TEdge *edge1, TEdge *edge2);
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bool IsContributing(const TEdge& edge) const;
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bool IsTopHorz(const cInt XPos);
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void SwapPositionsInAEL(TEdge *edge1, TEdge *edge2);
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void DoMaxima(TEdge *e);
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void ProcessHorizontals();
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void ProcessHorizontal(TEdge *horzEdge);
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void AddLocalMaxPoly(TEdge *e1, TEdge *e2, const IntPoint &pt);
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OutPt* AddLocalMinPoly(TEdge *e1, TEdge *e2, const IntPoint &pt);
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OutRec* GetOutRec(int idx);
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void AppendPolygon(TEdge *e1, TEdge *e2) const;
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void IntersectEdges(TEdge *e1, TEdge *e2, IntPoint &pt);
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OutRec* CreateOutRec();
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OutPt* AddOutPt(TEdge *e, const IntPoint &pt);
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OutPt* GetLastOutPt(TEdge *e);
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void DisposeAllOutRecs();
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bool ProcessIntersections(const cInt topY);
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void BuildIntersectList(const cInt topY);
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void ProcessEdgesAtTopOfScanbeam(const cInt topY);
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void BuildResult(Paths& polys);
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void BuildResult2(PolyTree& polytree);
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void SetHoleState(TEdge *e, OutRec *outrec) const;
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bool FixupIntersectionOrder();
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void FixupOutPolygon(OutRec &outrec);
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void FixupOutPolyline(OutRec &outrec);
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bool FindOwnerFromSplitRecs(OutRec &outRec, OutRec *&currOrfl);
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void FixHoleLinkage(OutRec &outrec);
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bool JoinPoints(Join *j, OutRec* outRec1, OutRec* outRec2);
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void JoinCommonEdges();
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void DoSimplePolygons();
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void FixupFirstLefts1(OutRec* OldOutRec, OutRec* NewOutRec) const;
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void FixupFirstLefts2(OutRec* OldOutRec, OutRec* NewOutRec) const;
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#ifdef use_xyz
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void SetZ(IntPoint& pt, TEdge& e1, TEdge& e2);
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#endif
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};
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//------------------------------------------------------------------------------
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class ClipperOffset
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{
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public:
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ClipperOffset(double miterLimit = 2.0, double roundPrecision = 0.25);
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~ClipperOffset() { Clear(); }
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void AddPath(const Path& path, JoinType joinType, EndType endType);
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void AddPaths(const Paths& paths, JoinType joinType, EndType endType);
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void Execute(Paths& solution, double delta);
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void Execute(PolyTree& solution, double delta);
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void Clear();
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double MiterLimit;
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double ArcTolerance;
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private:
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Paths m_destPolys;
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Path m_srcPoly;
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Path m_destPoly;
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std::vector<DoublePoint> m_normals;
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double m_delta, m_sinA, m_sin, m_cos;
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double m_miterLim, m_StepsPerRad;
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IntPoint m_lowest;
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PolyNode m_polyNodes;
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void FixOrientations();
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void DoOffset(double delta);
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void OffsetPoint(int j, int& k, JoinType jointype);
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void DoSquare(int j, int k);
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void DoMiter(int j, int k, double r);
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void DoRound(int j, int k);
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};
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//------------------------------------------------------------------------------
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class clipperException : public std::exception
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{
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public:
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clipperException(const char* description): m_descr(description) {}
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virtual ~clipperException() throw() {}
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virtual const char* what() const throw() {return m_descr.c_str();}
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private:
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std::string m_descr;
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};
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//------------------------------------------------------------------------------
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} //ClipperLib namespace
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#endif //clipper_hpp
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