diff --git a/src/Lib/terragear/clipper.cpp b/src/Lib/terragear/clipper.cpp index 340c1498..d3143fe5 100644 --- a/src/Lib/terragear/clipper.cpp +++ b/src/Lib/terragear/clipper.cpp @@ -1,4545 +1,4629 @@ -/******************************************************************************* -* * -* Author : Angus Johnson * -* Version : 6.1.2 * -* Date : 15 December 2013 * -* Website : http://www.angusj.com * -* Copyright : Angus Johnson 2010-2013 * -* * -* 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. * -* * -*******************************************************************************/ - -#include "clipper.hpp" -#include -#include -#include -#include -#include -#include -#include -#include - -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, 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) - throw clipperException("AddPath: Open paths must be subject."); -#else - if (!Closed) - throw clipperException("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; - return false; //almost certainly a vertex has exceeded range - } - - TEdge *eStart = &edges[0]; - if (!Closed) eStart->Prev->OutIdx = Skip; - - //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; - - //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::Clear() -{ - if (m_edges.empty()) return; //avoids problems with ClipperBase destructor - DisposeAllOutRecs(); - ClipperBase::Clear(); -} -//------------------------------------------------------------------------------ - -void Clipper::Reset() -{ - ClipperBase::Reset(); - m_Scanbeam.clear(); - m_ActiveEdges = 0; - m_SortedEdges = 0; - DisposeAllOutRecs(); - 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) - throw clipperException("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); - 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); - 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 throw clipperException("Error intersecting polylines"); - if (e2stops) - if (e2->OutIdx < 0) DeleteFromAEL(e2); - else throw clipperException("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) throw clipperException("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) - throw clipperException("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 ) throw - clipperException("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(); - throw clipperException("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) - throw clipperException("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 throw clipperException("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 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 - 2 + delta; ++i) - for (size_t j = 0; j <= polyCnt - 1; ++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& poly, const Path& path, Paths& solution, bool isClosed) -{ - Minkowski(poly, path, solution, true, isClosed); -} -//------------------------------------------------------------------------------ - -void MinkowskiDiff(const Path& poly, const Path& path, Paths& solution, bool isClosed) -{ - Minkowski(poly, path, solution, false, isClosed); -} -//------------------------------------------------------------------------------ - -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); -} -//------------------------------------------------------------------------------ - -std::ostream& operator <<(std::ostream &s, const IntPoint &p) -{ - s << "(" << p.X << "," << p.Y << ")"; - return s; -} -//------------------------------------------------------------------------------ - -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; -} -//------------------------------------------------------------------------------ - -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; -} -//------------------------------------------------------------------------------ - -#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 +/******************************************************************************* +* * +* Author : Angus Johnson * +* Version : 6.4.2 * +* Date : 27 February 2017 * +* Website : http://www.angusj.com * +* Copyright : Angus Johnson 2010-2017 * +* * +* 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. * +* * +*******************************************************************************/ + +#include "clipper.hpp" +#include +#include +#include +#include +#include +#include +#include +#include + +namespace ClipperLib { + +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; //current (updated for every new scanbeam) + IntPoint Top; + double Dx; + PolyType PolyTyp; + EdgeSide Side; //side only refers to current side of solution poly + 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 LocalMinimum { + cInt Y; + TEdge *LeftBound; + TEdge *RightBound; +}; + +struct OutPt; + +//OutRec: contains a path in the clipping solution. Edges in the AEL will +//carry a pointer to an OutRec when they are part of the clipping solution. +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; +}; + +struct LocMinSorter +{ + inline bool operator()(const LocalMinimum& locMin1, const LocalMinimum& locMin2) + { + return locMin2.Y < locMin1.Y; + } +}; + +//------------------------------------------------------------------------------ +//------------------------------------------------------------------------------ + +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 +{ + int result = (int)AllNodes.size(); + //with negative offsets, ignore the hidden outer polygon ... + if (result > 0 && Childs[0] != AllNodes[0]) result--; + return result; +} + +//------------------------------------------------------------------------------ +// PolyNode methods ... +//------------------------------------------------------------------------------ + +PolyNode::PolyNode(): 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((long64)9223372036854775807); //ie 2^63 -1 +// Int128 val2((long64)9223372036854775807); +// Int128 val3 = val1 * val2; +// val3.AsString => "85070591730234615847396907784232501249" (8.5e+37) +//------------------------------------------------------------------------------ + +class Int128 +{ + public: + ulong64 lo; + long64 hi; + + Int128(long64 _lo = 0) + { + lo = (ulong64)_lo; + if (_lo < 0) hi = -1; else hi = 0; + } + + + Int128(const Int128 &val): lo(val.lo), hi(val.hi){} + + Int128(const long64& _hi, const ulong64& _lo): lo(_lo), hi(_hi){} + + Int128& operator = (const long64 &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); + } + + operator double() const + { + const double shift64 = 18446744073709551616.0; //2^64 + if (hi < 0) + { + if (lo == 0) return (double)hi * shift64; + else return -(double)(~lo + ~hi * shift64); + } + else + return (double)(lo + hi * shift64); + } + +}; +//------------------------------------------------------------------------------ + +Int128 Int128Mul (long64 lhs, long64 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 = long64(a + (c >> 32)); + tmp.lo = long64(c << 32); + tmp.lo += long64(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 OutPt *op) +{ + const OutPt *startOp = op; + 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 != startOp); + return a * 0.5; +} +//------------------------------------------------------------------------------ + +double Area(const OutRec &outRec) +{ + return Area(outRec.Pts); +} +//------------------------------------------------------------------------------ + +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; +} +//------------------------------------------------------------------------------ + +//See "The Point in Polygon Problem for Arbitrary Polygons" by Hormann & Agathos +//http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.88.5498&rep=rep1&type=pdf +int PointInPolygon(const IntPoint &pt, const Path &path) +{ + //returns 0 if false, +1 if true, -1 if pt ON polygon boundary + 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 + 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 + { + //nb: PointInPolygon returns 0 if false, +1 if true, -1 if pt on polygon + 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.Top.Y - e1.Bot.Y, e2.Top.X - e2.Bot.X) == + Int128Mul(e1.Top.X - e1.Bot.X, e2.Top.Y - e2.Bot.Y); + else +#endif + return (e1.Top.Y - e1.Bot.Y) * (e2.Top.X - e2.Bot.X) == + (e1.Top.X - e1.Bot.X) * (e2.Top.Y - e2.Bot.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.Dx == HORIZONTAL; +} +//------------------------------------------------------------------------------ + +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) +{ + cInt dy = (e.Top.Y - e.Bot.Y); + if (dy == 0) e.Dx = HORIZONTAL; + else e.Dx = (double)(e.Top.X - e.Bot.X) / dy; +} +//--------------------------------------------------------------------------- + +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)); +} +//------------------------------------------------------------------------------ + +void IntersectPoint(TEdge &Edge1, TEdge &Edge2, IntPoint &ip) +{ +#ifdef use_xyz + ip.Z = 0; +#endif + + double b1, b2; + if (Edge1.Dx == Edge2.Dx) + { + ip.Y = Edge1.Curr.Y; + ip.X = TopX(Edge1, ip.Y); + return; + } + else if (Edge1.Dx == 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.Dx == 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); + } + //finally, don't allow 'ip' to be BELOW curr.Y (ie bottom of scanbeam) ... + if (ip.Y > Edge1.Curr.Y) + { + ip.Y = Edge1.Curr.Y; + //use the more vertical edge to derive X ... + if (std::fabs(Edge1.Dx) > std::fabs(Edge2.Dx)) + ip.X = TopX(Edge2, ip.Y); else + ip.X = TopX(Edge1, ip.Y); + } +} +//------------------------------------------------------------------------------ + +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.] + std::swap(e.Top.X, e.Bot.X); +#ifdef use_xyz + std::swap(e.Top.Z, e.Bot.Z); +#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)); + + if (std::max(dx1p, dx1n) == std::max(dx2p, dx2n) && + std::min(dx1p, dx1n) == std::min(dx2p, dx2n)) + return Area(btmPt1) > 0; //if otherwise identical use orientation + else + 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 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); +} +//------------------------------------------------------------------------------ + +bool HorzSegmentsOverlap(cInt seg1a, cInt seg1b, cInt seg2a, cInt seg2b) +{ + if (seg1a > seg1b) std::swap(seg1a, seg1b); + if (seg2a > seg2b) std::swap(seg2a, seg2b); + return (seg1a < seg2b) && (seg2a < seg1b); +} + +//------------------------------------------------------------------------------ +// ClipperBase class methods ... +//------------------------------------------------------------------------------ + +ClipperBase::ClipperBase() //constructor +{ + m_CurrentLM = m_MinimaList.begin(); //begin() == end() here + 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 clipperException("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 NextIsForward) +{ + TEdge *Result = E; + TEdge *Horz = 0; + + if (E->OutIdx == Skip) + { + //if edges still remain in the current bound beyond the skip edge then + //create another LocMin and call ProcessBound once more + if (NextIsForward) + { + 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 (NextIsForward) Result = E->Next; + else Result = E->Prev; + } + else + { + //there are more edges in the bound beyond result starting with E + if (NextIsForward) + E = Result->Next; + else + E = Result->Prev; + MinimaList::value_type locMin; + locMin.Y = E->Bot.Y; + locMin.LeftBound = 0; + locMin.RightBound = E; + E->WindDelta = 0; + Result = ProcessBound(E, NextIsForward); + m_MinimaList.push_back(locMin); + } + return Result; + } + + TEdge *EStart; + + if (IsHorizontal(*E)) + { + //We need to be careful with open paths because this may not be a + //true local minima (ie E may be following a skip edge). + //Also, consecutive horz. edges may start heading left before going right. + if (NextIsForward) + EStart = E->Prev; + else + EStart = E->Next; + if (IsHorizontal(*EStart)) //ie an adjoining horizontal skip edge + { + if (EStart->Bot.X != E->Bot.X && EStart->Top.X != E->Bot.X) + ReverseHorizontal(*E); + } + else if (EStart->Bot.X != E->Bot.X) + ReverseHorizontal(*E); + } + + EStart = E; + if (NextIsForward) + { + 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) 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 || + 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 + } + + return Result; +} +//------------------------------------------------------------------------------ + +bool ClipperBase::AddPath(const Path &pg, PolyType PolyTyp, bool Closed) +{ +#ifdef use_lines + if (!Closed && PolyTyp == ptClip) + throw clipperException("AddPath: Open paths must be subject."); +#else + if (!Closed) + throw clipperException("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; + throw; //range test fails + } + TEdge *eStart = &edges[0]; + + //2. Remove duplicate vertices, and (when closed) collinear edges ... + TEdge *E = eStart, *eLoopStop = eStart; + for (;;) + { + //nb: allows matching start and end points when not Closed ... + if (E->Curr == E->Next->Curr && (Closed || E->Next != eStart)) + { + 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) || (!Closed && E->Next == eStart)) 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; + MinimaList::value_type locMin; + locMin.Y = E->Bot.Y; + locMin.LeftBound = 0; + locMin.RightBound = E; + locMin.RightBound->Side = esRight; + locMin.RightBound->WindDelta = 0; + for (;;) + { + if (E->Bot.X != E->Prev->Top.X) ReverseHorizontal(*E); + if (E->Next->OutIdx == Skip) break; + E->NextInLML = E->Next; + E = E->Next; + } + m_MinimaList.push_back(locMin); + m_edges.push_back(edges); + return true; + } + + m_edges.push_back(edges); + bool leftBoundIsForward; + TEdge* EMin = 0; + + //workaround to avoid an endless loop in the while loop below when + //open paths have matching start and end points ... + if (E->Prev->Bot == E->Prev->Top) E = E->Next; + + 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 ... + MinimaList::value_type locMin; + locMin.Y = E->Bot.Y; + if (E->Dx < E->Prev->Dx) + { + locMin.LeftBound = E->Prev; + locMin.RightBound = E; + leftBoundIsForward = false; //Q.nextInLML = Q.prev + } else + { + locMin.LeftBound = E; + locMin.RightBound = E->Prev; + leftBoundIsForward = true; //Q.nextInLML = Q.next + } + + 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, leftBoundIsForward); + if (E->OutIdx == Skip) E = ProcessBound(E, leftBoundIsForward); + + TEdge* E2 = ProcessBound(locMin.RightBound, !leftBoundIsForward); + if (E2->OutIdx == Skip) E2 = ProcessBound(E2, !leftBoundIsForward); + + if (locMin.LeftBound->OutIdx == Skip) + locMin.LeftBound = 0; + else if (locMin.RightBound->OutIdx == Skip) + locMin.RightBound = 0; + m_MinimaList.push_back(locMin); + if (!leftBoundIsForward) 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::Clear() +{ + DisposeLocalMinimaList(); + for (EdgeList::size_type i = 0; i < m_edges.size(); ++i) + { + TEdge* edges = m_edges[i]; + delete [] edges; + } + m_edges.clear(); + m_UseFullRange = false; + m_HasOpenPaths = false; +} +//------------------------------------------------------------------------------ + +void ClipperBase::Reset() +{ + m_CurrentLM = m_MinimaList.begin(); + if (m_CurrentLM == m_MinimaList.end()) return; //ie nothing to process + std::sort(m_MinimaList.begin(), m_MinimaList.end(), LocMinSorter()); + + m_Scanbeam = ScanbeamList(); //clears/resets priority_queue + //reset all edges ... + for (MinimaList::iterator lm = m_MinimaList.begin(); lm != m_MinimaList.end(); ++lm) + { + InsertScanbeam(lm->Y); + 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; + } + } + m_ActiveEdges = 0; + m_CurrentLM = m_MinimaList.begin(); +} +//------------------------------------------------------------------------------ + +void ClipperBase::DisposeLocalMinimaList() +{ + m_MinimaList.clear(); + m_CurrentLM = m_MinimaList.begin(); +} +//------------------------------------------------------------------------------ + +bool ClipperBase::PopLocalMinima(cInt Y, const LocalMinimum *&locMin) +{ + if (m_CurrentLM == m_MinimaList.end() || (*m_CurrentLM).Y != Y) return false; + locMin = &(*m_CurrentLM); + ++m_CurrentLM; + return true; +} +//------------------------------------------------------------------------------ + +IntRect ClipperBase::GetBounds() +{ + IntRect result; + MinimaList::iterator lm = m_MinimaList.begin(); + if (lm == m_MinimaList.end()) + { + 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 != m_MinimaList.end()) + { + //todo - needs fixing for open paths + result.bottom = std::max(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; + } + result.left = std::min(result.left, e->Bot.X); + result.right = std::max(result.right, e->Bot.X); + result.left = std::min(result.left, e->Top.X); + result.right = std::max(result.right, e->Top.X); + result.top = std::min(result.top, e->Top.Y); + if (bottomE == lm->LeftBound) e = lm->RightBound; + else break; + } + ++lm; + } + return result; +} +//------------------------------------------------------------------------------ + +void ClipperBase::InsertScanbeam(const cInt Y) +{ + m_Scanbeam.push(Y); +} +//------------------------------------------------------------------------------ + +bool ClipperBase::PopScanbeam(cInt &Y) +{ + if (m_Scanbeam.empty()) return false; + Y = m_Scanbeam.top(); + m_Scanbeam.pop(); + while (!m_Scanbeam.empty() && Y == m_Scanbeam.top()) { m_Scanbeam.pop(); } // Pop duplicates. + return true; +} +//------------------------------------------------------------------------------ + +void ClipperBase::DisposeAllOutRecs(){ + for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) + DisposeOutRec(i); + m_PolyOuts.clear(); +} +//------------------------------------------------------------------------------ + +void ClipperBase::DisposeOutRec(PolyOutList::size_type index) +{ + OutRec *outRec = m_PolyOuts[index]; + if (outRec->Pts) DisposeOutPts(outRec->Pts); + delete outRec; + m_PolyOuts[index] = 0; +} +//------------------------------------------------------------------------------ + +void ClipperBase::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; +} +//------------------------------------------------------------------------------ + +OutRec* ClipperBase::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; +} +//------------------------------------------------------------------------------ + +void ClipperBase::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 ClipperBase::UpdateEdgeIntoAEL(TEdge *&e) +{ + if (!e->NextInLML) + throw clipperException("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 ClipperBase::LocalMinimaPending() +{ + return (m_CurrentLM != m_MinimaList.end()); +} + +//------------------------------------------------------------------------------ +// TClipper methods ... +//------------------------------------------------------------------------------ + +Clipper::Clipper(int initOptions) : ClipperBase() //constructor +{ + 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 +} +//------------------------------------------------------------------------------ + +#ifdef use_xyz +void Clipper::ZFillFunction(ZFillCallback zFillFunc) +{ + m_ZFill = zFillFunc; +} +//------------------------------------------------------------------------------ +#endif + +bool Clipper::Execute(ClipType clipType, Paths &solution, PolyFillType fillType) +{ + return Execute(clipType, solution, fillType, fillType); +} +//------------------------------------------------------------------------------ + +bool Clipper::Execute(ClipType clipType, PolyTree &polytree, PolyFillType fillType) +{ + return Execute(clipType, polytree, fillType, fillType); +} +//------------------------------------------------------------------------------ + +bool Clipper::Execute(ClipType clipType, Paths &solution, + PolyFillType subjFillType, PolyFillType clipFillType) +{ + if( m_ExecuteLocked ) return false; + if (m_HasOpenPaths) + throw clipperException("Error: PolyTree struct is needed 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(); + m_Maxima = MaximaList(); + m_SortedEdges = 0; + + succeeded = true; + cInt botY, topY; + if (!PopScanbeam(botY)) return false; + InsertLocalMinimaIntoAEL(botY); + while (PopScanbeam(topY) || LocalMinimaPending()) + { + ProcessHorizontals(); + ClearGhostJoins(); + if (!ProcessIntersections(topY)) + { + succeeded = false; + break; + } + ProcessEdgesAtTopOfScanbeam(topY); + botY = topY; + InsertLocalMinimaIntoAEL(botY); + } + } + 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) continue; + if (outRec->IsOpen) + FixupOutPolyline(*outRec); + else + FixupOutPolygon(*outRec); + } + + if (m_StrictSimple) DoSimplePolygons(); + } + + ClearJoins(); + ClearGhostJoins(); + return succeeded; +} +//------------------------------------------------------------------------------ + +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) + { + if (edge.WindDelta == 0) + { + PolyFillType pft = (edge.PolyTyp == ptSubject ? m_SubjFillType : m_ClipFillType); + edge.WindCnt = (pft == pftNegative ? -1 : 1); + } + else + edge.WindCnt = 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 && prevE->Top.Y < Pt.Y && e->Top.Y < Pt.Y) + { + cInt xPrev = TopX(*prevE, Pt.Y); + cInt xE = TopX(*e, Pt.Y); + if (xPrev == xE && (e->WindDelta != 0) && (prevE->WindDelta != 0) && + SlopesEqual(IntPoint(xPrev, Pt.Y), prevE->Top, IntPoint(xE, Pt.Y), e->Top, m_UseFullRange)) + { + 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; + } +} +//------------------------------------------------------------------------------ + +bool Clipper::PopEdgeFromSEL(TEdge *&edge) +{ + if (!m_SortedEdges) return false; + edge = m_SortedEdges; + DeleteFromSEL(m_SortedEdges); + return true; +} +//------------------------------------------------------------------------------ + +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) +{ + const LocalMinimum *lm; + while (PopLocalMinima(botY, lm)) + { + TEdge* lb = lm->LeftBound; + TEdge* rb = lm->RightBound; + + 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); + if (rb->NextInLML) + InsertScanbeam(rb->NextInLML->Top.Y); + } + 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.X, jr->OffPt.X, rb->Bot.X, rb->Top.X)) + 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->Bot, lb->PrevInAEL->Top, lb->Curr, lb->Top, 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->Curr, rb->PrevInAEL->Top, rb->Curr, rb->Top, 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::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& e1, TEdge& e2) +{ + if (pt.Z != 0 || !m_ZFill) return; + else if (pt == e1.Bot) pt.Z = e1.Bot.Z; + else if (pt == e1.Top) pt.Z = e1.Top.Z; + else if (pt == e2.Bot) pt.Z = e2.Bot.Z; + else if (pt == e2.Top) pt.Z = e2.Top.Z; + else (*m_ZFill)(e1.Bot, e1.Top, e2.Bot, e2.Top, pt); +} +//------------------------------------------------------------------------------ +#endif + +void Clipper::IntersectEdges(TEdge *e1, TEdge *e2, IntPoint &Pt) +{ + bool e1Contributing = ( e1->OutIdx >= 0 ); + bool e2Contributing = ( e2->OutIdx >= 0 ); + +#ifdef use_xyz + SetZ(Pt, *e1, *e2); +#endif + +#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) return; + + //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; + } + } + 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 ((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)) + { + //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 ); + } +} +//------------------------------------------------------------------------------ + +void Clipper::SetHoleState(TEdge *e, OutRec *outrec) +{ + TEdge *e2 = e->PrevInAEL; + TEdge *eTmp = 0; + while (e2) + { + if (e2->OutIdx >= 0 && e2->WindDelta != 0) + { + if (!eTmp) eTmp = e2; + else if (eTmp->OutIdx == e2->OutIdx) eTmp = 0; + } + e2 = e2->PrevInAEL; + } + if (!eTmp) + { + outrec->FirstLeft = 0; + outrec->IsHole = false; + } + else + { + outrec->FirstLeft = m_PolyOuts[eTmp->OutIdx]; + outrec->IsHole = !outrec->FirstLeft->IsHole; + } +} +//------------------------------------------------------------------------------ + +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 OutRec1RightOfOutRec2(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 (OutRec1RightOfOutRec2(outRec1, outRec2)) + holeStateRec = outRec2; + else if (OutRec1RightOfOutRec2(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; + + //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; + } + } 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; + } + } + + 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 = e1->Side; + break; + } + e = e->NextInAEL; + } + + outRec2->Idx = outRec1->Idx; +} +//------------------------------------------------------------------------------ + +OutPt* Clipper::AddOutPt(TEdge *e, const IntPoint &pt) +{ + 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); + e->OutIdx = outRec->Idx; + 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; + + bool ToFront = (e->Side == esLeft); + 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; + return newOp; + } +} +//------------------------------------------------------------------------------ + +OutPt* Clipper::GetLastOutPt(TEdge *e) +{ + OutRec *outRec = m_PolyOuts[e->OutIdx]; + if (e->Side == esLeft) + return outRec->Pts; + else + return outRec->Pts->Prev; +} +//------------------------------------------------------------------------------ + +void Clipper::ProcessHorizontals() +{ + TEdge* horzEdge; + while (PopEdgeFromSEL(horzEdge)) + ProcessHorizontal(horzEdge); +} +//------------------------------------------------------------------------------ + +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) +{ + if ((e->Next->Top == e->Top) && !e->Next->NextInLML) + return e->Next; + else if ((e->Prev->Top == e->Top) && !e->Prev->NextInLML) + return e->Prev; + else return 0; +} +//------------------------------------------------------------------------------ + +TEdge *GetMaximaPairEx(TEdge *e) +{ + //as GetMaximaPair() but returns 0 if MaxPair isn't in AEL (unless it's horizontal) + TEdge* result = GetMaximaPair(e); + if (result && (result->OutIdx == Skip || + (result->NextInAEL == result->PrevInAEL && !IsHorizontal(*result)))) return 0; + return result; +} +//------------------------------------------------------------------------------ + +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; + } +} +//------------------------------------------------------------------------ + +/******************************************************************************* +* 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) +{ + Direction dir; + cInt horzLeft, horzRight; + bool IsOpen = (horzEdge->WindDelta == 0); + + 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); + + MaximaList::const_iterator maxIt; + MaximaList::const_reverse_iterator maxRit; + if (m_Maxima.size() > 0) + { + //get the first maxima in range (X) ... + if (dir == dLeftToRight) + { + maxIt = m_Maxima.begin(); + while (maxIt != m_Maxima.end() && *maxIt <= horzEdge->Bot.X) maxIt++; + if (maxIt != m_Maxima.end() && *maxIt >= eLastHorz->Top.X) + maxIt = m_Maxima.end(); + } + else + { + maxRit = m_Maxima.rbegin(); + while (maxRit != m_Maxima.rend() && *maxRit > horzEdge->Bot.X) maxRit++; + if (maxRit != m_Maxima.rend() && *maxRit <= eLastHorz->Top.X) + maxRit = m_Maxima.rend(); + } + } + + OutPt* op1 = 0; + + for (;;) //loop through consec. horizontal edges + { + + bool IsLastHorz = (horzEdge == eLastHorz); + TEdge* e = GetNextInAEL(horzEdge, dir); + while(e) + { + + //this code block inserts extra coords into horizontal edges (in output + //polygons) whereever maxima touch these horizontal edges. This helps + //'simplifying' polygons (ie if the Simplify property is set). + if (m_Maxima.size() > 0) + { + if (dir == dLeftToRight) + { + while (maxIt != m_Maxima.end() && *maxIt < e->Curr.X) + { + if (horzEdge->OutIdx >= 0 && !IsOpen) + AddOutPt(horzEdge, IntPoint(*maxIt, horzEdge->Bot.Y)); + maxIt++; + } + } + else + { + while (maxRit != m_Maxima.rend() && *maxRit > e->Curr.X) + { + if (horzEdge->OutIdx >= 0 && !IsOpen) + AddOutPt(horzEdge, IntPoint(*maxRit, horzEdge->Bot.Y)); + maxRit++; + } + } + }; + + if ((dir == dLeftToRight && e->Curr.X > horzRight) || + (dir == dRightToLeft && e->Curr.X < horzLeft)) break; + + //Also 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; + + if (horzEdge->OutIdx >= 0 && !IsOpen) //note: may be done multiple times + { +#ifdef use_xyz + if (dir == dLeftToRight) SetZ(e->Curr, *horzEdge, *e); + else SetZ(e->Curr, *e, *horzEdge); +#endif + op1 = AddOutPt(horzEdge, e->Curr); + TEdge* eNextHorz = m_SortedEdges; + while (eNextHorz) + { + if (eNextHorz->OutIdx >= 0 && + HorzSegmentsOverlap(horzEdge->Bot.X, + horzEdge->Top.X, eNextHorz->Bot.X, eNextHorz->Top.X)) + { + OutPt* op2 = GetLastOutPt(eNextHorz); + AddJoin(op2, op1, eNextHorz->Top); + } + eNextHorz = eNextHorz->NextInSEL; + } + AddGhostJoin(op1, horzEdge->Bot); + } + + //OK, 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 (horzEdge->OutIdx >= 0) + AddLocalMaxPoly(horzEdge, eMaxPair, horzEdge->Top); + DeleteFromAEL(horzEdge); + DeleteFromAEL(eMaxPair); + return; + } + + if(dir == dLeftToRight) + { + IntPoint Pt = IntPoint(e->Curr.X, horzEdge->Curr.Y); + IntersectEdges(horzEdge, e, Pt); + } + else + { + IntPoint Pt = IntPoint(e->Curr.X, horzEdge->Curr.Y); + IntersectEdges( e, horzEdge, Pt); + } + TEdge* eNext = GetNextInAEL(e, dir); + SwapPositionsInAEL( horzEdge, e ); + e = eNext; + } //end while(e) + + //Break out of loop if HorzEdge.NextInLML is not also horizontal ... + if (!horzEdge->NextInLML || !IsHorizontal(*horzEdge->NextInLML)) break; + + UpdateEdgeIntoAEL(horzEdge); + if (horzEdge->OutIdx >= 0) AddOutPt(horzEdge, horzEdge->Bot); + GetHorzDirection(*horzEdge, dir, horzLeft, horzRight); + + } //end for (;;) + + if (horzEdge->OutIdx >= 0 && !op1) + { + op1 = GetLastOutPt(horzEdge); + TEdge* eNextHorz = m_SortedEdges; + while (eNextHorz) + { + if (eNextHorz->OutIdx >= 0 && + HorzSegmentsOverlap(horzEdge->Bot.X, + horzEdge->Top.X, eNextHorz->Bot.X, eNextHorz->Top.X)) + { + OutPt* op2 = GetLastOutPt(eNextHorz); + AddJoin(op2, op1, eNextHorz->Top); + } + eNextHorz = eNextHorz->NextInSEL; + } + AddGhostJoin(op1, horzEdge->Top); + } + + if (horzEdge->NextInLML) + { + if(horzEdge->OutIdx >= 0) + { + 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 (horzEdge->OutIdx >= 0) AddOutPt(horzEdge, horzEdge->Top); + DeleteFromAEL(horzEdge); + } +} +//------------------------------------------------------------------------------ + +bool Clipper::ProcessIntersections(const cInt topY) +{ + if( !m_ActiveEdges ) return true; + try { + BuildIntersectList(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(); + throw clipperException("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 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) + { + IntersectPoint(*e, *eNext, Pt); + if (Pt.Y < topY) Pt = IntPoint(TopX(*e, topY), topY); + 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); + 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 = GetMaximaPairEx(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); + 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 ) + { + if (e->OutIdx >= 0) AddLocalMaxPoly(e, eMaxPair, e->Top); + DeleteFromAEL(e); + DeleteFromAEL(eMaxPair); + } +#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 throw clipperException("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 = GetMaximaPairEx(e); + IsMaximaEdge = (!eMaxPair || !IsHorizontal(*eMaxPair)); + } + + if(IsMaximaEdge) + { + if (m_StrictSimple) m_Maxima.push_back(e->Top.X); + 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; +#ifdef use_xyz + e->Curr.Z = topY == e->Top.Y ? e->Top.Z : (topY == e->Bot.Y ? e->Bot.Z : 0); +#endif + } + + //When StrictlySimple and 'e' is being touched by another edge, then + //make sure both edges have a vertex here ... + 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)) + { + IntPoint pt = e->Curr; +#ifdef use_xyz + SetZ(pt, *ePrev, *e); +#endif + OutPt* op = AddOutPt(ePrev, pt); + OutPt* op2 = AddOutPt(e, pt); + AddJoin(op, op2, pt); //StrictlySimple (type-3) join + } + } + + e = e->NextInAEL; + } + } + + //3. Process horizontals at the Top of the scanbeam ... + m_Maxima.sort(); + ProcessHorizontals(); + m_Maxima.clear(); + + //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->Curr, e->Top, ePrev->Curr, ePrev->Top, 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->Curr, e->Top, eNext->Curr, eNext->Top, m_UseFullRange) && + (e->WindDelta != 0) && (eNext->WindDelta != 0)) + { + OutPt* op2 = AddOutPt(eNext, e->Bot); + AddJoin(op, op2, e->Top); + } + } + e = e->NextInAEL; + } +} +//------------------------------------------------------------------------------ + +void Clipper::FixupOutPolyline(OutRec &outrec) +{ + OutPt *pp = outrec.Pts; + OutPt *lastPP = pp->Prev; + while (pp != lastPP) + { + pp = pp->Next; + if (pp->Pt == pp->Prev->Pt) + { + if (pp == lastPP) lastPP = pp->Prev; + OutPt *tmpPP = pp->Prev; + tmpPP->Next = pp->Next; + pp->Next->Prev = tmpPP; + delete pp; + pp = tmpPP; + } + } + + if (pp == pp->Prev) + { + DisposeOutPts(pp); + outrec.Pts = 0; + return; + } +} +//------------------------------------------------------------------------------ + +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; + bool preserveCol = m_PreserveCollinear || m_StrictSimple; + + 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) && + (!preserveCol || !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 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 ... + if (outRec1 != outRec2) return false; + 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; + } + } +} +//---------------------------------------------------------------------- + +static OutRec* ParseFirstLeft(OutRec* FirstLeft) +{ + while (FirstLeft && !FirstLeft->Pts) + FirstLeft = FirstLeft->FirstLeft; + return FirstLeft; +} +//------------------------------------------------------------------------------ + +void Clipper::FixupFirstLefts1(OutRec* OldOutRec, OutRec* NewOutRec) +{ + //tests if NewOutRec contains the polygon before reassigning FirstLeft + for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) + { + OutRec* outRec = m_PolyOuts[i]; + OutRec* firstLeft = ParseFirstLeft(outRec->FirstLeft); + if (outRec->Pts && firstLeft == OldOutRec) + { + if (Poly2ContainsPoly1(outRec->Pts, NewOutRec->Pts)) + outRec->FirstLeft = NewOutRec; + } + } +} +//---------------------------------------------------------------------- + +void Clipper::FixupFirstLefts2(OutRec* InnerOutRec, OutRec* OuterOutRec) +{ + //A polygon has split into two such that one is now the inner of the other. + //It's possible that these polygons now wrap around other polygons, so check + //every polygon that's also contained by OuterOutRec's FirstLeft container + //(including 0) to see if they've become inner to the new inner polygon ... + OutRec* orfl = OuterOutRec->FirstLeft; + for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) + { + OutRec* outRec = m_PolyOuts[i]; + + if (!outRec->Pts || outRec == OuterOutRec || outRec == InnerOutRec) + continue; + OutRec* firstLeft = ParseFirstLeft(outRec->FirstLeft); + if (firstLeft != orfl && firstLeft != InnerOutRec && firstLeft != OuterOutRec) + continue; + if (Poly2ContainsPoly1(outRec->Pts, InnerOutRec->Pts)) + outRec->FirstLeft = InnerOutRec; + else if (Poly2ContainsPoly1(outRec->Pts, OuterOutRec->Pts)) + outRec->FirstLeft = OuterOutRec; + else if (outRec->FirstLeft == InnerOutRec || outRec->FirstLeft == OuterOutRec) + outRec->FirstLeft = orfl; + } +} +//---------------------------------------------------------------------- +void Clipper::FixupFirstLefts3(OutRec* OldOutRec, OutRec* NewOutRec) +{ + //reassigns FirstLeft WITHOUT testing if NewOutRec contains the polygon + for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i) + { + OutRec* outRec = m_PolyOuts[i]; + OutRec* firstLeft = ParseFirstLeft(outRec->FirstLeft); + if (outRec->Pts && firstLeft == OldOutRec) + outRec->FirstLeft = NewOutRec; + } +} +//---------------------------------------------------------------------- + +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; + if (outRec1->IsOpen || outRec2->IsOpen) continue; + + //get the polygon fragment with the correct hole state (FirstLeft) + //before calling JoinPoints() ... + OutRec *holeStateRec; + if (outRec1 == outRec2) holeStateRec = outRec1; + else if (OutRec1RightOfOutRec2(outRec1, outRec2)) holeStateRec = outRec2; + else if (OutRec1RightOfOutRec2(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); + + if (Poly2ContainsPoly1(outRec2->Pts, outRec1->Pts)) + { + //outRec1 contains outRec2 ... + outRec2->IsHole = !outRec1->IsHole; + outRec2->FirstLeft = 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)) + { + //outRec2 contains outRec1 ... + outRec2->IsHole = outRec1->IsHole; + outRec1->IsHole = !outRec2->IsHole; + outRec2->FirstLeft = outRec1->FirstLeft; + outRec1->FirstLeft = outRec2; + + 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; + + if (m_UsingPolyTree) FixupFirstLefts3(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) + { + 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(m_polyNodes.ChildCount() - 1, 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]; + solution.Childs[0]->Parent = outerNode->Parent; + 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) +{ + //cross product ... + m_sinA = (m_normals[k].X * m_normals[j].Y - m_normals[j].X * m_normals[k].Y); + if (std::fabs(m_sinA * m_delta) < 1.0) + { + //dot product ... + double cosA = (m_normals[k].X * m_normals[j].X + m_normals[j].Y * m_normals[k].Y ); + if (cosA > 0) // angle => 0 degrees + { + 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))); + return; + } + //else angle => 180 degrees + } + 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 = std::max((int)Round(m_StepsPerRad * std::fabs(a)), 1); + + 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 || outrec->IsOpen) 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; + if (m_UsingPolyTree) FixupFirstLefts2(outrec2, 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; + if (m_UsingPolyTree) FixupFirstLefts2(outrec, outrec2); + } + else + { + //the 2 polygons are separate ... + outrec2->IsHole = outrec->IsHole; + outrec2->FirstLeft = outrec->FirstLeft; + if (m_UsingPolyTree) FixupFirstLefts1(outrec, outrec2); + } + 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) +{ + //this function is more accurate when the point that's geometrically + //between the other 2 points is the one that's tested for distance. + //ie makes it more likely to pick up 'spikes' ... + if (Abs(pt1.X - pt2.X) > Abs(pt1.Y - pt2.Y)) + { + if ((pt1.X > pt2.X) == (pt1.X < pt3.X)) + return DistanceFromLineSqrd(pt1, pt2, pt3) < distSqrd; + else if ((pt2.X > pt1.X) == (pt2.X < pt3.X)) + return DistanceFromLineSqrd(pt2, pt1, pt3) < distSqrd; + else + return DistanceFromLineSqrd(pt3, pt1, pt2) < distSqrd; + } + else + { + if ((pt1.Y > pt2.Y) == (pt1.Y < pt3.Y)) + return DistanceFromLineSqrd(pt1, pt2, pt3) < distSqrd; + else if ((pt2.Y > pt1.Y) == (pt2.Y < pt3.Y)) + return DistanceFromLineSqrd(pt2, pt1, pt3) < distSqrd; + else + return DistanceFromLineSqrd(pt3, pt1, pt2) < 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) +{ + out_polys.resize(in_polys.size()); + 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); + } + + solution.clear(); + solution.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); + solution.push_back(quad); + } +} +//------------------------------------------------------------------------------ + +void MinkowskiSum(const Path& pattern, const Path& path, Paths& solution, bool pathIsClosed) +{ + Minkowski(pattern, path, solution, true, pathIsClosed); + Clipper c; + c.AddPaths(solution, ptSubject, true); + c.Execute(ctUnion, solution, pftNonZero, pftNonZero); +} +//------------------------------------------------------------------------------ + +void TranslatePath(const Path& input, Path& output, const IntPoint delta) +{ + //precondition: input != output + output.resize(input.size()); + for (size_t i = 0; i < input.size(); ++i) + output[i] = IntPoint(input[i].X + delta.X, input[i].Y + delta.Y); +} +//------------------------------------------------------------------------------ + +void MinkowskiSum(const Path& pattern, const Paths& paths, Paths& solution, 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) + { + Path tmp2; + TranslatePath(paths[i], tmp2, pattern[0]); + c.AddPath(tmp2, ptClip, true); + } + } + c.Execute(ctUnion, solution, pftNonZero, pftNonZero); +} +//------------------------------------------------------------------------------ + +void MinkowskiDiff(const Path& poly1, const Path& poly2, Paths& solution) +{ + Minkowski(poly1, poly2, solution, false, true); + Clipper c; + c.AddPaths(solution, ptSubject, true); + c.Execute(ctUnion, solution, pftNonZero, pftNonZero); +} +//------------------------------------------------------------------------------ + +enum NodeType {ntAny, ntOpen, ntClosed}; + +void AddPolyNodeToPaths(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) + AddPolyNodeToPaths(*polynode.Childs[i], nodetype, paths); +} +//------------------------------------------------------------------------------ + +void PolyTreeToPaths(const PolyTree& polytree, Paths& paths) +{ + paths.resize(0); + paths.reserve(polytree.Total()); + AddPolyNodeToPaths(polytree, ntAny, paths); +} +//------------------------------------------------------------------------------ + +void ClosedPathsFromPolyTree(const PolyTree& polytree, Paths& paths) +{ + paths.resize(0); + paths.reserve(polytree.Total()); + AddPolyNodeToPaths(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); +} +//------------------------------------------------------------------------------ + +std::ostream& operator <<(std::ostream &s, const IntPoint &p) +{ + s << "(" << p.X << "," << p.Y << ")"; + return s; +} +//------------------------------------------------------------------------------ + +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; +} +//------------------------------------------------------------------------------ + +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; +} +//------------------------------------------------------------------------------ + +} //ClipperLib namespace diff --git a/src/Lib/terragear/clipper.hpp b/src/Lib/terragear/clipper.hpp index 0d1bd191..5a19617b 100644 --- a/src/Lib/terragear/clipper.hpp +++ b/src/Lib/terragear/clipper.hpp @@ -1,396 +1,406 @@ -/******************************************************************************* -* * -* Author : Angus Johnson * -* Version : 6.1.2 * -* Date : 15 December 2013 * -* Website : http://www.angusj.com * -* Copyright : Angus Johnson 2010-2013 * -* * -* License: * -* Use, modification & distribution is subject to Boost Software License Ver 1. * -* http://www.boost.org/LICENSE_1_0.txt * -* * -* Attributions: * -* The code in this library is an extension of Bala Vatti's clipping algorithm: * -* "A generic solution to polygon clipping" * -* Communications of the ACM, Vol 35, Issue 7 (July 1992) pp 56-63. * -* http://portal.acm.org/citation.cfm?id=129906 * -* * -* Computer graphics and geometric modeling: implementation and algorithms * -* By Max K. Agoston * -* Springer; 1 edition (January 4, 2005) * -* http://books.google.com/books?q=vatti+clipping+agoston * -* * -* See also: * -* "Polygon Offsetting by Computing Winding Numbers" * -* Paper no. DETC2005-85513 pp. 565-575 * -* ASME 2005 International Design Engineering Technical Conferences * -* and Computers and Information in Engineering Conference (IDETC/CIE2005) * -* September 24-28, 2005 , Long Beach, California, USA * -* http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf * -* * -*******************************************************************************/ - -#ifndef clipper_hpp -#define clipper_hpp - -#define CLIPPER_VERSION "6.1.2" - -//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 -typedef signed long long cInt; -typedef unsigned long long cUInt; -#endif - -struct IntPoint { - cInt X; - cInt Y; -#ifdef use_xyz - cInt Z; - IntPoint(cInt x = 0, cInt y = 0, cInt z = 0): X(x), Y(y), Z(z) {}; -#else - IntPoint(cInt x = 0, cInt y = 0): X(x), Y(y) {}; -#endif - - friend inline bool operator== (const IntPoint& a, const IntPoint& b) - { - return a.X == b.X && a.Y == b.Y; - } - friend inline bool operator!= (const IntPoint& a, const IntPoint& b) - { - return a.X != b.X || a.Y != b.Y; - } -}; -//------------------------------------------------------------------------------ - -typedef std::vector< IntPoint > Path; -typedef std::vector< Path > Paths; - -inline Path& operator <<(Path& poly, const IntPoint& p) {poly.push_back(p); return poly;} -inline Paths& operator <<(Paths& polys, const Path& p) {polys.push_back(p); return polys;} - -std::ostream& operator <<(std::ostream &s, const IntPoint &p); -std::ostream& operator <<(std::ostream &s, const Path &p); -std::ostream& operator <<(std::ostream &s, const Paths &p); - -struct DoublePoint -{ - double X; - double Y; - DoublePoint(double x = 0, double y = 0) : X(x), Y(y) {} - DoublePoint(IntPoint ip) : X((double)ip.X), Y((double)ip.Y) {} -}; -//------------------------------------------------------------------------------ - -#ifdef use_xyz -typedef void (*TZFillCallback)(IntPoint& z1, IntPoint& z2, IntPoint& pt); -#endif - -enum InitOptions {ioReverseSolution = 1, ioStrictlySimple = 2, ioPreserveCollinear = 4}; -enum JoinType {jtSquare, jtRound, jtMiter}; -enum EndType {etClosedPolygon, etClosedLine, etOpenButt, etOpenSquare, etOpenRound}; -#ifdef use_deprecated - enum EndType_ {etClosed, etButt = 2, etSquare, etRound}; -#endif - -class PolyNode; -typedef std::vector< PolyNode* > PolyNodes; - -class PolyNode -{ -public: - PolyNode(); - Path Contour; - PolyNodes Childs; - PolyNode* Parent; - PolyNode* GetNext() const; - bool IsHole() const; - bool IsOpen() const; - int ChildCount() const; -private: - unsigned Index; //node index in Parent.Childs - bool m_IsOpen; - JoinType m_jointype; - EndType m_endtype; - PolyNode* GetNextSiblingUp() const; - void AddChild(PolyNode& child); - friend class Clipper; //to access Index - friend class ClipperOffset; -}; - -class PolyTree: public PolyNode -{ -public: - ~PolyTree(){Clear();}; - PolyNode* GetFirst() const; - void Clear(); - int Total() const; -private: - PolyNodes AllNodes; - friend class Clipper; //to access AllNodes -}; - -bool Orientation(const Path &poly); -double Area(const Path &poly); - -#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& poly, const Path& path, Paths& solution, bool isClosed); -void MinkowskiDiff(const Path& poly, const Path& path, Paths& solution, bool isClosed); - -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); - void Clear(); - 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); -}; -//------------------------------------------------------------------------------ - -class clipperException : public std::exception -{ - public: - clipperException(const char* description): m_descr(description) {} - virtual ~clipperException() throw() {} - virtual const char* what() const throw() {return m_descr.c_str();} - private: - std::string m_descr; -}; -//------------------------------------------------------------------------------ - -} //ClipperLib namespace - -#endif //clipper_hpp - - +/******************************************************************************* +* * +* Author : Angus Johnson * +* Version : 6.4.2 * +* Date : 27 February 2017 * +* Website : http://www.angusj.com * +* Copyright : Angus Johnson 2010-2017 * +* * +* License: * +* Use, modification & distribution is subject to Boost Software License Ver 1. * +* http://www.boost.org/LICENSE_1_0.txt * +* * +* Attributions: * +* The code in this library is an extension of Bala Vatti's clipping algorithm: * +* "A generic solution to polygon clipping" * +* Communications of the ACM, Vol 35, Issue 7 (July 1992) pp 56-63. * +* http://portal.acm.org/citation.cfm?id=129906 * +* * +* Computer graphics and geometric modeling: implementation and algorithms * +* By Max K. Agoston * +* Springer; 1 edition (January 4, 2005) * +* http://books.google.com/books?q=vatti+clipping+agoston * +* * +* See also: * +* "Polygon Offsetting by Computing Winding Numbers" * +* Paper no. DETC2005-85513 pp. 565-575 * +* ASME 2005 International Design Engineering Technical Conferences * +* and Computers and Information in Engineering Conference (IDETC/CIE2005) * +* September 24-28, 2005 , Long Beach, California, USA * +* http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf * +* * +*******************************************************************************/ + +#ifndef clipper_hpp +#define clipper_hpp + +#define CLIPPER_VERSION "6.4.2" + +//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 temporary support for the obsolete functions +//#define use_deprecated + +#include +#include +#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; + static cInt const loRange = 0x7FFF; + static cInt const hiRange = 0x7FFF; +#else + typedef signed long long cInt; + static cInt const loRange = 0x3FFFFFFF; + static cInt const hiRange = 0x3FFFFFFFFFFFFFFFLL; + typedef signed long long long64; //used by Int128 class + typedef unsigned long long ulong64; + +#endif + +struct IntPoint { + cInt X; + cInt Y; +#ifdef use_xyz + cInt Z; + IntPoint(cInt x = 0, cInt y = 0, cInt z = 0): X(x), Y(y), Z(z) {}; +#else + IntPoint(cInt x = 0, cInt y = 0): X(x), Y(y) {}; +#endif + + friend inline bool operator== (const IntPoint& a, const IntPoint& b) + { + return a.X == b.X && a.Y == b.Y; + } + friend inline bool operator!= (const IntPoint& a, const IntPoint& b) + { + return a.X != b.X || a.Y != b.Y; + } +}; +//------------------------------------------------------------------------------ + +typedef std::vector< IntPoint > Path; +typedef std::vector< Path > Paths; + +inline Path& operator <<(Path& poly, const IntPoint& p) {poly.push_back(p); return poly;} +inline Paths& operator <<(Paths& polys, const Path& p) {polys.push_back(p); return polys;} + +std::ostream& operator <<(std::ostream &s, const IntPoint &p); +std::ostream& operator <<(std::ostream &s, const Path &p); +std::ostream& operator <<(std::ostream &s, const Paths &p); + +struct DoublePoint +{ + double X; + double Y; + DoublePoint(double x = 0, double y = 0) : X(x), Y(y) {} + DoublePoint(IntPoint ip) : X((double)ip.X), Y((double)ip.Y) {} +}; +//------------------------------------------------------------------------------ + +#ifdef use_xyz +typedef void (*ZFillCallback)(IntPoint& e1bot, IntPoint& e1top, IntPoint& e2bot, IntPoint& e2top, IntPoint& pt); +#endif + +enum InitOptions {ioReverseSolution = 1, ioStrictlySimple = 2, ioPreserveCollinear = 4}; +enum JoinType {jtSquare, jtRound, jtMiter}; +enum EndType {etClosedPolygon, etClosedLine, etOpenButt, etOpenSquare, etOpenRound}; + +class PolyNode; +typedef std::vector< PolyNode* > PolyNodes; + +class PolyNode +{ +public: + PolyNode(); + virtual ~PolyNode(){}; + Path Contour; + PolyNodes Childs; + PolyNode* Parent; + PolyNode* GetNext() const; + bool IsHole() const; + bool IsOpen() const; + int ChildCount() const; +private: + //PolyNode& operator =(PolyNode& other); + 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: + //PolyTree& operator =(PolyTree& other); + 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); + +void SimplifyPolygon(const Path &in_poly, Paths &out_polys, PolyFillType fillType = pftEvenOdd); +void SimplifyPolygons(const Paths &in_polys, Paths &out_polys, PolyFillType fillType = pftEvenOdd); +void SimplifyPolygons(Paths &polys, PolyFillType fillType = pftEvenOdd); + +void CleanPolygon(const Path& in_poly, Path& out_poly, double distance = 1.415); +void CleanPolygon(Path& poly, double distance = 1.415); +void CleanPolygons(const Paths& in_polys, Paths& out_polys, double distance = 1.415); +void CleanPolygons(Paths& polys, double distance = 1.415); + +void MinkowskiSum(const Path& pattern, const Path& path, Paths& solution, bool pathIsClosed); +void MinkowskiSum(const Path& pattern, const Paths& paths, Paths& solution, bool pathIsClosed); +void MinkowskiDiff(const Path& poly1, const Path& poly2, Paths& solution); + +void PolyTreeToPaths(const PolyTree& polytree, Paths& paths); +void ClosedPathsFromPolyTree(const PolyTree& polytree, Paths& paths); +void OpenPathsFromPolyTree(PolyTree& polytree, Paths& paths); + +void ReversePath(Path& p); +void ReversePaths(Paths& p); + +struct IntRect { cInt left; cInt top; cInt right; cInt bottom; }; + +//enums that are used internally ... +enum EdgeSide { esLeft = 1, esRight = 2}; + +//forward declarations (for stuff used internally) ... +struct TEdge; +struct IntersectNode; +struct LocalMinimum; +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(); + virtual 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); + virtual void Reset(); + TEdge* ProcessBound(TEdge* E, bool IsClockwise); + void InsertScanbeam(const cInt Y); + bool PopScanbeam(cInt &Y); + bool LocalMinimaPending(); + bool PopLocalMinima(cInt Y, const LocalMinimum *&locMin); + OutRec* CreateOutRec(); + void DisposeAllOutRecs(); + void DisposeOutRec(PolyOutList::size_type index); + void SwapPositionsInAEL(TEdge *edge1, TEdge *edge2); + void DeleteFromAEL(TEdge *e); + void UpdateEdgeIntoAEL(TEdge *&e); + + typedef std::vector MinimaList; + MinimaList::iterator m_CurrentLM; + MinimaList m_MinimaList; + + bool m_UseFullRange; + EdgeList m_edges; + bool m_PreserveCollinear; + bool m_HasOpenPaths; + PolyOutList m_PolyOuts; + TEdge *m_ActiveEdges; + + typedef std::priority_queue ScanbeamList; + ScanbeamList m_Scanbeam; +}; +//------------------------------------------------------------------------------ + +class Clipper : public virtual ClipperBase +{ +public: + Clipper(int initOptions = 0); + bool Execute(ClipType clipType, + Paths &solution, + PolyFillType fillType = pftEvenOdd); + bool Execute(ClipType clipType, + Paths &solution, + PolyFillType subjFillType, + PolyFillType clipFillType); + bool Execute(ClipType clipType, + PolyTree &polytree, + PolyFillType fillType = pftEvenOdd); + bool Execute(ClipType clipType, + PolyTree &polytree, + PolyFillType subjFillType, + PolyFillType clipFillType); + 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(ZFillCallback zFillFunc); +#endif +protected: + virtual bool ExecuteInternal(); +private: + JoinList m_Joins; + JoinList m_GhostJoins; + IntersectList m_IntersectList; + ClipType m_ClipType; + typedef std::list MaximaList; + MaximaList m_Maxima; + TEdge *m_SortedEdges; + bool m_ExecuteLocked; + PolyFillType m_ClipFillType; + PolyFillType m_SubjFillType; + bool m_ReverseOutput; + bool m_UsingPolyTree; + bool m_StrictSimple; +#ifdef use_xyz + ZFillCallback m_ZFill; //custom callback +#endif + void SetWindingCount(TEdge& edge); + bool IsEvenOddFillType(const TEdge& edge) const; + bool IsEvenOddAltFillType(const TEdge& edge) const; + void InsertLocalMinimaIntoAEL(const cInt botY); + void InsertEdgeIntoAEL(TEdge *edge, TEdge* startEdge); + void AddEdgeToSEL(TEdge *edge); + bool PopEdgeFromSEL(TEdge *&edge); + void CopyAELToSEL(); + void DeleteFromSEL(TEdge *e); + void SwapPositionsInSEL(TEdge *edge1, TEdge *edge2); + bool IsContributing(const TEdge& edge) const; + bool IsTopHorz(const cInt XPos); + void DoMaxima(TEdge *e); + void ProcessHorizontals(); + void ProcessHorizontal(TEdge *horzEdge); + void AddLocalMaxPoly(TEdge *e1, TEdge *e2, const IntPoint &pt); + OutPt* AddLocalMinPoly(TEdge *e1, TEdge *e2, const IntPoint &pt); + OutRec* GetOutRec(int idx); + void AppendPolygon(TEdge *e1, TEdge *e2); + void IntersectEdges(TEdge *e1, TEdge *e2, IntPoint &pt); + OutPt* AddOutPt(TEdge *e, const IntPoint &pt); + OutPt* GetLastOutPt(TEdge *e); + bool ProcessIntersections(const cInt topY); + void BuildIntersectList(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); + void FixupOutPolyline(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* InnerOutRec, OutRec* OuterOutRec); + void FixupFirstLefts3(OutRec* OldOutRec, OutRec* NewOutRec); +#ifdef use_xyz + void SetZ(IntPoint& pt, TEdge& e1, TEdge& e2); +#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); +}; +//------------------------------------------------------------------------------ + +class clipperException : public std::exception +{ + public: + clipperException(const char* description): m_descr(description) {} + virtual ~clipperException() throw() {} + virtual const char* what() const throw() {return m_descr.c_str();} + private: + std::string m_descr; +}; +//------------------------------------------------------------------------------ + +} //ClipperLib namespace + +#endif //clipper_hpp + + diff --git a/src/Lib/terragear/tg_chopper.cxx b/src/Lib/terragear/tg_chopper.cxx index e756d688..553a0b1b 100644 --- a/src/Lib/terragear/tg_chopper.cxx +++ b/src/Lib/terragear/tg_chopper.cxx @@ -110,7 +110,7 @@ void tgChopper::Add( const tgPolygon& subject, const std::string& type ) double clip_top = b_clip.get_center_lat() + 0.0630; tgPolygon clip_row, clipped; - SG_LOG( SG_GENERAL, SG_DEBUG, " CLIPPED row " << row << " center lat is " << b_clip.get_center_lat() << " clip_botton is " << clip_bottom << " clip_top is " << clip_top ); + SG_LOG( SG_GENERAL, SG_DEBUG, " CLIPPED row " << row << " of " << dy << ", center lat is " << b_clip.get_center_lat() << " clip_botton is " << clip_bottom << " clip_top is " << clip_top ); clip_row.AddNode( 0, SGGeod::fromDeg(-180.0, clip_bottom) ); clip_row.AddNode( 0, SGGeod::fromDeg( 180.0, clip_bottom) ); diff --git a/src/Lib/terragear/tg_misc.cxx b/src/Lib/terragear/tg_misc.cxx index 615960fa..05ee811a 100644 --- a/src/Lib/terragear/tg_misc.cxx +++ b/src/Lib/terragear/tg_misc.cxx @@ -70,18 +70,18 @@ double CalculateTheta( const SGVec3d& dirCur, const SGVec3d& dirNext ) ClipperLib::IntPoint SGGeod_ToClipper( const SGGeod& p ) { - ClipperLib::cUInt x, y; + ClipperLib::cInt x, y; if ( p.getLongitudeDeg() > 0 ) { - x = (ClipperLib::cUInt)( (p.getLongitudeDeg() * CLIPPER_FIXEDPT) + 0.5 ); + x = (ClipperLib::cInt)( (p.getLongitudeDeg() * CLIPPER_FIXEDPT) + 0.5 ); } else { - x = (ClipperLib::cUInt)( (p.getLongitudeDeg() * CLIPPER_FIXEDPT) - 0.5 ); + x = (ClipperLib::cInt)( (p.getLongitudeDeg() * CLIPPER_FIXEDPT) - 0.5 ); } if ( p.getLatitudeDeg() > 0 ) { - y = (ClipperLib::cUInt)( (p.getLatitudeDeg() * CLIPPER_FIXEDPT) + 0.5 ); + y = (ClipperLib::cInt)( (p.getLatitudeDeg() * CLIPPER_FIXEDPT) + 0.5 ); } else { - y = (ClipperLib::cUInt)( (p.getLatitudeDeg() * CLIPPER_FIXEDPT) - 0.5 ); + y = (ClipperLib::cInt)( (p.getLatitudeDeg() * CLIPPER_FIXEDPT) - 0.5 ); } return ClipperLib::IntPoint( x, y ); @@ -377,4 +377,4 @@ bool intersection(const SGGeod &p0, const SGGeod &p1, const SGGeod& p2, const SG // handle the no intersection case. return false; } -} \ No newline at end of file +}