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-/*******************************************************************************
-* *
-* Author : Angus Johnson *
-* Version : 4.8.8 *
-* Date : 30 August 2012 *
-* Website : http://www.angusj.com *
-* Copyright : Angus Johnson 2010-2012 *
-* *
-* 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 <cmath>
-#include <vector>
-#include <algorithm>
-#include <stdexcept>
-#include <cassert>
-#include <cstring>
-#include <cstdlib>
-#include <ostream>
-
-namespace ClipperLib {
-
-static long64 const loRange = 0x3FFFFFFF;
-static long64 const hiRange = 0x3FFFFFFFFFFFFFFFLL;
-static double const pi = 3.141592653589793238;
-enum Direction { dRightToLeft, dLeftToRight };
-
-#define HORIZONTAL (-1.0E+40)
-#define TOLERANCE (1.0e-20)
-#define NEAR_ZERO(val) (((val) > -TOLERANCE) && ((val) < TOLERANCE))
-#define NEAR_EQUAL(a, b) NEAR_ZERO((a) - (b))
-
-inline long64 Abs(long64 val)
-{
- return val < 0 ? -val : val;
-}
-//------------------------------------------------------------------------------
-
-//------------------------------------------------------------------------------
-// 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:
-
- Int128(long64 _lo = 0)
- {
- lo = _lo;
- if (lo < 0) hi = -1; else hi = 0;
- }
-
- Int128(const Int128 &val): hi(val.hi), lo(val.lo){}
-
- long64 operator = (const long64 &val)
- {
- lo = val;
- if (lo < 0) hi = -1; else hi = 0;
- return val;
- }
-
- 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 (ulong64(lo) < ulong64(rhs.lo)) hi++;
- return *this;
- }
-
- Int128 operator + (const Int128 &rhs) const
- {
- Int128 result(*this);
- result+= rhs;
- return result;
- }
-
- Int128& operator -= (const Int128 &rhs)
- {
- Int128 tmp(rhs);
- Negate(tmp);
- *this += tmp;
- return *this;
- }
-
- //Int128 operator -() const
- //{
- // Int128 result(*this);
- // if (result.lo == 0) {
- // if (result.hi != 0) result.hi = -1;
- // }
- // else {
- // result.lo = -result.lo;
- // result.hi = ~result.hi;
- // }
- // return result;
- //}
-
- Int128 operator - (const Int128 &rhs) const
- {
- Int128 result(*this);
- result -= rhs;
- return result;
- }
-
- Int128 operator * (const Int128 &rhs) const
- {
- if ( !(hi == 0 || hi == -1) || !(rhs.hi == 0 || rhs.hi == -1))
- throw "Int128 operator*: overflow error";
- bool negate = (hi < 0) != (rhs.hi < 0);
-
- Int128 tmp(*this);
- if (tmp.hi < 0) Negate(tmp);
- ulong64 int1Hi = ulong64(tmp.lo) >> 32;
- ulong64 int1Lo = ulong64(tmp.lo & 0xFFFFFFFF);
-
- tmp = rhs;
- if (tmp.hi < 0) Negate(tmp);
- ulong64 int2Hi = ulong64(tmp.lo) >> 32;
- ulong64 int2Lo = ulong64(tmp.lo & 0xFFFFFFFF);
-
- //nb: see comments in clipper.pas
- ulong64 a = int1Hi * int2Hi;
- ulong64 b = int1Lo * int2Lo;
- ulong64 c = int1Hi * int2Lo + int1Lo * int2Hi;
-
- tmp.hi = long64(a + (c >> 32));
- tmp.lo = long64(c << 32);
- tmp.lo += long64(b);
- if (ulong64(tmp.lo) < b) tmp.hi++;
- if (negate) Negate(tmp);
- return tmp;
- }
-
- 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 result(*this), denom(rhs);
- if (result.hi < 0) Negate(result);
- if (denom.hi < 0) Negate(denom);
- if (denom > result) return Int128(0); //result is only a fraction of 1
- Negate(denom);
-
- Int128 p(0);
- for (int i = 0; i < 128; ++i)
- {
- p.hi = p.hi << 1;
- if (p.lo < 0) p.hi++;
- p.lo = long64(p.lo) << 1;
- if (result.hi < 0) p.lo++;
- result.hi = result.hi << 1;
- if (result.lo < 0) result.hi++;
- result.lo = long64(result.lo) << 1;
- Int128 p2(p);
- p += denom;
- if (p.hi < 0) p = p2;
- else result.lo++;
- }
- if (negate) Negate(result);
- return result;
- }
-
- double AsDouble() const
- {
- const double shift64 = 18446744073709551616.0; //2^64
- const double bit64 = 9223372036854775808.0;
- if (hi < 0)
- {
- Int128 tmp(*this);
- Negate(tmp);
- if (tmp.lo < 0)
- return (double)tmp.lo - bit64 - tmp.hi * shift64;
- else
- return -(double)tmp.lo - tmp.hi * shift64;
- }
- else if (lo < 0)
- return -(double)lo + bit64 + hi * shift64;
- else
- return (double)lo + (double)hi * shift64;
- }
-
- //for bug testing ...
- //std::string AsString() const
- //{
- // std::string result;
- // unsigned char r = 0;
- // Int128 tmp(0), val(*this);
- // if (hi < 0) Negate(val);
- // result.resize(50);
- // std::string::size_type i = result.size() -1;
- // while (val.hi != 0 || val.lo != 0)
- // {
- // Div10(val, tmp, r);
- // result[i--] = char('0' + r);
- // val = tmp;
- // }
- // if (hi < 0) result[i--] = '-';
- // result.erase(0,i+1);
- // if (result.size() == 0) result = "0";
- // return result;
- //}
-
-private:
- long64 hi;
- long64 lo;
-
- static void Negate(Int128 &val)
- {
- if (val.lo == 0) {
- if (val.hi != 0) val.hi = -val.hi;;
- }
- else {
- val.lo = -val.lo;
- val.hi = ~val.hi;
- }
- }
-
- //debugging only ...
- //void Div10(const Int128 val, Int128& result, unsigned char & remainder) const
- //{
- // remainder = 0;
- // result = 0;
- // for (int i = 63; i >= 0; --i)
- // {
- // if ((val.hi & ((long64)1 << i)) != 0)
- // remainder = char((remainder * 2) + 1); else
- // remainder *= char(2);
- // if (remainder >= 10)
- // {
- // result.hi += ((long64)1 << i);
- // remainder -= char(10);
- // }
- // }
- // for (int i = 63; i >= 0; --i)
- // {
- // if ((val.lo & ((long64)1 << i)) != 0)
- // remainder = char((remainder * 2) + 1); else
- // remainder *= char(2);
- // if (remainder >= 10)
- // {
- // result.lo += ((long64)1 << i);
- // remainder -= char(10);
- // }
- // }
- //}
-};
-
-//------------------------------------------------------------------------------
-//------------------------------------------------------------------------------
-
-bool FullRangeNeeded(const Polygon &pts)
-{
- bool result = false;
- for (Polygon::size_type i = 0; i < pts.size(); ++i)
- {
- if (Abs(pts[i].X) > hiRange || Abs(pts[i].Y) > hiRange)
- throw "Coordinate exceeds range bounds.";
- else if (Abs(pts[i].X) > loRange || Abs(pts[i].Y) > loRange)
- result = true;
- }
- return result;
-}
-//------------------------------------------------------------------------------
-
-bool Orientation(const Polygon &poly)
-{
- int highI = (int)poly.size() -1;
- if (highI < 2) return false;
-
- int j = 0, jplus, jminus;
- for (int i = 0; i <= highI; ++i)
- {
- if (poly[i].Y < poly[j].Y) continue;
- if ((poly[i].Y > poly[j].Y || poly[i].X < poly[j].X)) j = i;
- };
- if (j == highI) jplus = 0;
- else jplus = j +1;
- if (j == 0) jminus = highI;
- else jminus = j -1;
-
- IntPoint vec1, vec2;
- //get cross product of vectors of the edges adjacent to highest point ...
- vec1.X = poly[j].X - poly[jminus].X;
- vec1.Y = poly[j].Y - poly[jminus].Y;
- vec2.X = poly[jplus].X - poly[j].X;
- vec2.Y = poly[jplus].Y - poly[j].Y;
-
- if (Abs(vec1.X) > loRange || Abs(vec1.Y) > loRange ||
- Abs(vec2.X) > loRange || Abs(vec2.Y) > loRange)
- {
- if (Abs(vec1.X) > hiRange || Abs(vec1.Y) > hiRange ||
- Abs(vec2.X) > hiRange || Abs(vec2.Y) > hiRange)
- throw "Coordinate exceeds range bounds.";
- Int128 cross = Int128(vec1.X) * Int128(vec2.Y) -
- Int128(vec2.X) * Int128(vec1.Y);
- return cross >= 0;
- }
- else
- return (vec1.X * vec2.Y - vec2.X * vec1.Y) >= 0;
-}
-//------------------------------------------------------------------------------
-
-inline bool PointsEqual( const IntPoint &pt1, const IntPoint &pt2)
-{
- return ( pt1.X == pt2.X && pt1.Y == pt2.Y );
-}
-//------------------------------------------------------------------------------
-
-bool Orientation(OutRec *outRec, bool UseFullInt64Range)
-{
- if (!outRec->pts)
- return 0.0;
-
- //first make sure bottomPt is correctly assigned ...
- OutPt *opBottom = outRec->pts, *op = outRec->pts->next;
- while (op != outRec->pts)
- {
- if (op->pt.Y >= opBottom->pt.Y)
- {
- if (op->pt.Y > opBottom->pt.Y || op->pt.X < opBottom->pt.X)
- opBottom = op;
- }
- op = op->next;
- }
- outRec->bottomPt = opBottom;
- opBottom->idx = outRec->idx;
-
- op = opBottom;
- //find vertices either side of bottomPt (skipping duplicate points) ....
- OutPt *opPrev = op->prev;
- OutPt *opNext = op->next;
- while (op != opPrev && PointsEqual(op->pt, opPrev->pt))
- opPrev = opPrev->prev;
- while (op != opNext && PointsEqual(op->pt, opNext->pt))
- opNext = opNext->next;
-
- IntPoint ip1, ip2;
- ip1.X = op->pt.X - opPrev->pt.X;
- ip1.Y = op->pt.Y - opPrev->pt.Y;
- ip2.X = opNext->pt.X - op->pt.X;
- ip2.Y = opNext->pt.Y - op->pt.Y;
-
- if (UseFullInt64Range)
- return Int128(ip1.X) * Int128(ip2.Y) - Int128(ip2.X) * Int128(ip1.Y) >= 0;
- else
- return (ip1.X * ip2.Y - ip2.X * ip1.Y) >= 0;
-}
-//------------------------------------------------------------------------------
-
-double Area(const Polygon &poly)
-{
- int highI = (int)poly.size() -1;
- if (highI < 2) return 0;
-
- if (FullRangeNeeded(poly)) {
- Int128 a;
- a = (Int128(poly[highI].X) * Int128(poly[0].Y)) -
- Int128(poly[0].X) * Int128(poly[highI].Y);
- for (int i = 0; i < highI; ++i)
- a += Int128(poly[i].X) * Int128(poly[i+1].Y) -
- Int128(poly[i+1].X) * Int128(poly[i].Y);
- return a.AsDouble() / 2;
- }
- else
- {
- double a;
- a = (double)poly[highI].X * poly[0].Y - (double)poly[0].X * poly[highI].Y;
- for (int i = 0; i < highI; ++i)
- a += (double)poly[i].X * poly[i+1].Y - (double)poly[i+1].X * poly[i].Y;
- return a/2;
- }
-}
-//------------------------------------------------------------------------------
-
-double Area(const OutRec &outRec, bool UseFullInt64Range)
-{
- if (!outRec.pts)
- return 0.0;
-
- OutPt *op = outRec.pts;
- if (UseFullInt64Range) {
- Int128 a(0);
- do {
- a += (Int128(op->prev->pt.X) * Int128(op->pt.Y)) -
- Int128(op->pt.X) * Int128(op->prev->pt.Y);
- op = op->next;
- } while (op != outRec.pts);
- return a.AsDouble() / 2;
- }
- else
- {
- double a = 0;
- do {
- a += (op->prev->pt.X * op->pt.Y) - (op->pt.X * op->prev->pt.Y);
- op = op->next;
- } while (op != outRec.pts);
- return a/2;
- }
-}
-//------------------------------------------------------------------------------
-
-bool PointIsVertex(const IntPoint &pt, OutPt *pp)
-{
- OutPt *pp2 = pp;
- do
- {
- if (PointsEqual(pp2->pt, pt)) return true;
- pp2 = pp2->next;
- }
- while (pp2 != pp);
- return false;
-}
-//------------------------------------------------------------------------------
-
-bool PointInPolygon(const IntPoint &pt, OutPt *pp, bool UseFullInt64Range)
-{
- OutPt *pp2 = pp;
- bool result = false;
- if (UseFullInt64Range) {
- do
- {
- if ((((pp2->pt.Y <= pt.Y) && (pt.Y < pp2->prev->pt.Y)) ||
- ((pp2->prev->pt.Y <= pt.Y) && (pt.Y < pp2->pt.Y))) &&
- Int128(pt.X - pp2->pt.X) < (Int128(pp2->prev->pt.X - pp2->pt.X) *
- Int128(pt.Y - pp2->pt.Y)) / Int128(pp2->prev->pt.Y - pp2->pt.Y))
- result = !result;
- pp2 = pp2->next;
- }
- while (pp2 != pp);
- }
- else
- {
- do
- {
- if ((((pp2->pt.Y <= pt.Y) && (pt.Y < pp2->prev->pt.Y)) ||
- ((pp2->prev->pt.Y <= pt.Y) && (pt.Y < pp2->pt.Y))) &&
- (pt.X < (pp2->prev->pt.X - pp2->pt.X) * (pt.Y - pp2->pt.Y) /
- (pp2->prev->pt.Y - pp2->pt.Y) + pp2->pt.X )) result = !result;
- pp2 = pp2->next;
- }
- while (pp2 != pp);
- }
- return result;
-}
-//------------------------------------------------------------------------------
-
-bool SlopesEqual(TEdge &e1, TEdge &e2, bool UseFullInt64Range)
-{
- if (UseFullInt64Range)
- return Int128(e1.ytop - e1.ybot) * Int128(e2.xtop - e2.xbot) ==
- Int128(e1.xtop - e1.xbot) * Int128(e2.ytop - e2.ybot);
- else return (e1.ytop - e1.ybot)*(e2.xtop - e2.xbot) ==
- (e1.xtop - e1.xbot)*(e2.ytop - e2.ybot);
-}
-//------------------------------------------------------------------------------
-
-bool SlopesEqual(const IntPoint pt1, const IntPoint pt2,
- const IntPoint pt3, bool UseFullInt64Range)
-{
- if (UseFullInt64Range)
- return Int128(pt1.Y-pt2.Y) * Int128(pt2.X-pt3.X) ==
- Int128(pt1.X-pt2.X) * Int128(pt2.Y-pt3.Y);
- else 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)
-{
- if (UseFullInt64Range)
- return Int128(pt1.Y-pt2.Y) * Int128(pt3.X-pt4.X) ==
- Int128(pt1.X-pt2.X) * Int128(pt3.Y-pt4.Y);
- else return (pt1.Y-pt2.Y)*(pt3.X-pt4.X) == (pt1.X-pt2.X)*(pt3.Y-pt4.Y);
-}
-//------------------------------------------------------------------------------
-
-double GetDx(const IntPoint pt1, const IntPoint pt2)
-{
- return (pt1.Y == pt2.Y) ?
- HORIZONTAL : (double)(pt2.X - pt1.X) / (double)(pt2.Y - pt1.Y);
-}
-//---------------------------------------------------------------------------
-
-void SetDx(TEdge &e)
-{
- if (e.ybot == e.ytop) e.dx = HORIZONTAL;
- else e.dx = (double)(e.xtop - e.xbot) / (double)(e.ytop - e.ybot);
-}
-//---------------------------------------------------------------------------
-
-void SwapSides(TEdge &edge1, TEdge &edge2)
-{
- EdgeSide side = edge1.side;
- edge1.side = edge2.side;
- edge2.side = side;
-}
-//------------------------------------------------------------------------------
-
-void SwapPolyIndexes(TEdge &edge1, TEdge &edge2)
-{
- int outIdx = edge1.outIdx;
- edge1.outIdx = edge2.outIdx;
- edge2.outIdx = outIdx;
-}
-//------------------------------------------------------------------------------
-
-inline long64 Round(double val)
-{
- return (val < 0) ?
- static_cast<long64>(val - 0.5) : static_cast<long64>(val + 0.5);
-}
-//------------------------------------------------------------------------------
-
-long64 TopX(TEdge &edge, const long64 currentY)
-{
- return ( currentY == edge.ytop ) ?
- edge.xtop : edge.xbot + Round(edge.dx *(currentY - edge.ybot));
-}
-//------------------------------------------------------------------------------
-
-long64 TopX(const IntPoint pt1, const IntPoint pt2, const long64 currentY)
-{
- //preconditions: pt1.Y <> pt2.Y and pt1.Y > pt2.Y
- if (currentY >= pt1.Y) return pt1.X;
- else if (currentY == pt2.Y) return pt2.X;
- else if (pt1.X == pt2.X) return pt1.X;
- else
- {
- double q = (double)(pt1.X-pt2.X)/(double)(pt1.Y-pt2.Y);
- return Round(pt1.X + (currentY - pt1.Y) *q);
- }
-}
-//------------------------------------------------------------------------------
-
-bool IntersectPoint(TEdge &edge1, TEdge &edge2,
- IntPoint &ip, bool UseFullInt64Range)
-{
- double b1, b2;
- if (SlopesEqual(edge1, edge2, UseFullInt64Range)) return false;
- else if (NEAR_ZERO(edge1.dx))
- {
- ip.X = edge1.xbot;
- if (NEAR_EQUAL(edge2.dx, HORIZONTAL))
- {
- ip.Y = edge2.ybot;
- } else
- {
- b2 = edge2.ybot - (edge2.xbot/edge2.dx);
- ip.Y = Round(ip.X/edge2.dx + b2);
- }
- }
- else if (NEAR_ZERO(edge2.dx))
- {
- ip.X = edge2.xbot;
- if (NEAR_EQUAL(edge1.dx, HORIZONTAL))
- {
- ip.Y = edge1.ybot;
- } else
- {
- b1 = edge1.ybot - (edge1.xbot/edge1.dx);
- ip.Y = Round(ip.X/edge1.dx + b1);
- }
- } else
- {
- b1 = edge1.xbot - edge1.ybot * edge1.dx;
- b2 = edge2.xbot - edge2.ybot * edge2.dx;
- b2 = (b2-b1)/(edge1.dx - edge2.dx);
- ip.Y = Round(b2);
- ip.X = Round(edge1.dx * b2 + b1);
- }
-
- return
- //can be *so close* to the top of one edge that the rounded Y equals one ytop ...
- (ip.Y == edge1.ytop && ip.Y >= edge2.ytop && edge1.tmpX > edge2.tmpX) ||
- (ip.Y == edge2.ytop && ip.Y >= edge1.ytop && edge1.tmpX > edge2.tmpX) ||
- (ip.Y > edge1.ytop && ip.Y > edge2.ytop);
-}
-//------------------------------------------------------------------------------
-
-void ReversePolyPtLinks(OutPt &pp)
-{
- 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 ;
- }
-}
-//------------------------------------------------------------------------------
-
-void InitEdge(TEdge *e, TEdge *eNext,
- TEdge *ePrev, const IntPoint &pt, PolyType polyType)
-{
- std::memset( e, 0, sizeof( TEdge ));
-
- e->next = eNext;
- e->prev = ePrev;
- e->xcurr = pt.X;
- e->ycurr = pt.Y;
- if (e->ycurr >= e->next->ycurr)
- {
- e->xbot = e->xcurr;
- e->ybot = e->ycurr;
- e->xtop = e->next->xcurr;
- e->ytop = e->next->ycurr;
- e->windDelta = 1;
- } else
- {
- e->xtop = e->xcurr;
- e->ytop = e->ycurr;
- e->xbot = e->next->xcurr;
- e->ybot = e->next->ycurr;
- e->windDelta = -1;
- }
- SetDx(*e);
- e->polyType = polyType;
- e->outIdx = -1;
-}
-//------------------------------------------------------------------------------
-
-inline void SwapX(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.]
- e.xcurr = e.xtop;
- e.xtop = e.xbot;
- e.xbot = e.xcurr;
-}
-//------------------------------------------------------------------------------
-
-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 colinear.
- if ( pt1a.Y == pt1b.Y || Abs((pt1a.X - pt1b.X)/(pt1a.Y - pt1b.Y)) > 1 )
- {
- 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 (PointsEqual(p->pt, btmPt1->pt) && (p != btmPt1)) p = p->prev;
- double dx1p = std::fabs(GetDx(btmPt1->pt, p->pt));
- p = btmPt1->next;
- while (PointsEqual(p->pt, btmPt1->pt) && (p != btmPt1)) p = p->next;
- double dx1n = std::fabs(GetDx(btmPt1->pt, p->pt));
-
- p = btmPt2->prev;
- while (PointsEqual(p->pt, btmPt2->pt) && (p != btmPt2)) p = p->prev;
- double dx2p = std::fabs(GetDx(btmPt2->pt, p->pt));
- p = btmPt2->next;
- while (PointsEqual(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 (!PointsEqual(dups->pt, pp->pt)) dups = dups->next;
- }
- }
- return pp;
-}
-//------------------------------------------------------------------------------
-
-bool FindSegment(OutPt* &pp, 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, true) &&
- SlopesEqual(pt1a, pt2a, pp->pt, true) &&
- GetOverlapSegment(pt1a, pt2a, pp->pt, pp->prev->pt, pt1, pt2))
- return true;
- pp = pp->next;
- }
- while (pp != pp2);
- return false;
-}
-//------------------------------------------------------------------------------
-
-bool Pt3IsBetweenPt1AndPt2(const IntPoint pt1,
- const IntPoint pt2, const IntPoint pt3)
-{
- if (PointsEqual(pt1, pt3) || PointsEqual(pt2, pt3)) return true;
- else if (pt1.X != pt2.X) return (pt1.X < pt3.X) == (pt3.X < pt2.X);
- else return (pt1.Y < pt3.Y) == (pt3.Y < pt2.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;
-}
-
-//------------------------------------------------------------------------------
-// ClipperBase class methods ...
-//------------------------------------------------------------------------------
-
-ClipperBase::ClipperBase() //constructor
-{
- m_MinimaList = 0;
- m_CurrentLM = 0;
- m_UseFullRange = true;
-}
-//------------------------------------------------------------------------------
-
-ClipperBase::~ClipperBase() //destructor
-{
- Clear();
-}
-//------------------------------------------------------------------------------
-
-bool ClipperBase::AddPolygon( const Polygon &pg, PolyType polyType)
-{
- int len = (int)pg.size();
- if (len < 3) return false;
- Polygon p(len);
- p[0] = pg[0];
- int j = 0;
-
- long64 maxVal;
- if (m_UseFullRange) maxVal = hiRange; else maxVal = loRange;
-
- for (int i = 0; i < len; ++i)
- {
- if (Abs(pg[i].X) > maxVal || Abs(pg[i].Y) > maxVal)
- {
- if (Abs(pg[i].X) > hiRange || Abs(pg[i].Y) > hiRange)
- throw "Coordinate exceeds range bounds";
- maxVal = hiRange;
- m_UseFullRange = true;
- }
-
- if (i == 0 || PointsEqual(p[j], pg[i])) continue;
- else if (j > 0 && SlopesEqual(p[j-1], p[j], pg[i], m_UseFullRange))
- {
- if (PointsEqual(p[j-1], pg[i])) j--;
- } else j++;
- p[j] = pg[i];
- }
- if (j < 2) return false;
-
- len = j+1;
- while (len > 2)
- {
- //nb: test for point equality before testing slopes ...
- if (PointsEqual(p[j], p[0])) j--;
- else if (PointsEqual(p[0], p[1]) ||
- SlopesEqual(p[j], p[0], p[1], m_UseFullRange))
- p[0] = p[j--];
- else if (SlopesEqual(p[j-1], p[j], p[0], m_UseFullRange)) j--;
- else if (SlopesEqual(p[0], p[1], p[2], m_UseFullRange))
- {
- for (int i = 2; i <= j; ++i) p[i-1] = p[i];
- j--;
- }
- else break;
- len--;
- }
- if (len < 3) return false;
-
- //create a new edge array ...
- TEdge *edges = new TEdge [len];
- m_edges.push_back(edges);
-
- //convert vertices to a double-linked-list of edges and initialize ...
- edges[0].xcurr = p[0].X;
- edges[0].ycurr = p[0].Y;
- InitEdge(&edges[len-1], &edges[0], &edges[len-2], p[len-1], polyType);
- for (int i = len-2; i > 0; --i)
- InitEdge(&edges[i], &edges[i+1], &edges[i-1], p[i], polyType);
- InitEdge(&edges[0], &edges[1], &edges[len-1], p[0], polyType);
-
- //reset xcurr & ycurr and find 'eHighest' (given the Y axis coordinates
- //increase downward so the 'highest' edge will have the smallest ytop) ...
- TEdge *e = &edges[0];
- TEdge *eHighest = e;
- do
- {
- e->xcurr = e->xbot;
- e->ycurr = e->ybot;
- if (e->ytop < eHighest->ytop) eHighest = e;
- e = e->next;
- }
- while ( e != &edges[0]);
-
- //make sure eHighest is positioned so the following loop works safely ...
- if (eHighest->windDelta > 0) eHighest = eHighest->next;
- if (NEAR_EQUAL(eHighest->dx, HORIZONTAL)) eHighest = eHighest->next;
-
- //finally insert each local minima ...
- e = eHighest;
- do {
- e = AddBoundsToLML(e);
- }
- while( e != eHighest );
- return true;
-}
-//------------------------------------------------------------------------------
-
-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;
- }
-}
-//------------------------------------------------------------------------------
-
-TEdge* ClipperBase::AddBoundsToLML(TEdge *e)
-{
- //Starting at the top of one bound we progress to the bottom where there's
- //a local minima. We then go to the top of the next bound. These two bounds
- //form the left and right (or right and left) bounds of the local minima.
- e->nextInLML = 0;
- e = e->next;
- for (;;)
- {
- if (NEAR_EQUAL(e->dx, HORIZONTAL))
- {
- //nb: proceed through horizontals when approaching from their right,
- // but break on horizontal minima if approaching from their left.
- // This ensures 'local minima' are always on the left of horizontals.
- if (e->next->ytop < e->ytop && e->next->xbot > e->prev->xbot) break;
- if (e->xtop != e->prev->xbot) SwapX(*e);
- e->nextInLML = e->prev;
- }
- else if (e->ycurr == e->prev->ycurr) break;
- else e->nextInLML = e->prev;
- e = e->next;
- }
-
- //e and e.prev are now at a local minima ...
- LocalMinima* newLm = new LocalMinima;
- newLm->next = 0;
- newLm->Y = e->prev->ybot;
-
- if ( NEAR_EQUAL(e->dx, HORIZONTAL) ) //horizontal edges never start a left bound
- {
- if (e->xbot != e->prev->xbot) SwapX(*e);
- newLm->leftBound = e->prev;
- newLm->rightBound = e;
- } else if (e->dx < e->prev->dx)
- {
- newLm->leftBound = e->prev;
- newLm->rightBound = e;
- } else
- {
- newLm->leftBound = e;
- newLm->rightBound = e->prev;
- }
- newLm->leftBound->side = esLeft;
- newLm->rightBound->side = esRight;
- InsertLocalMinima( newLm );
-
- for (;;)
- {
- if ( e->next->ytop == e->ytop && !NEAR_EQUAL(e->next->dx, HORIZONTAL) ) break;
- e->nextInLML = e->next;
- e = e->next;
- if ( NEAR_EQUAL(e->dx, HORIZONTAL) && e->xbot != e->prev->xtop) SwapX(*e);
- }
- return e->next;
-}
-//------------------------------------------------------------------------------
-
-bool ClipperBase::AddPolygons(const Polygons &ppg, PolyType polyType)
-{
- bool result = false;
- for (Polygons::size_type i = 0; i < ppg.size(); ++i)
- if (AddPolygon(ppg[i], polyType)) result = true;
- return result;
-}
-//------------------------------------------------------------------------------
-
-void ClipperBase::Clear()
-{
- DisposeLocalMinimaList();
- for (EdgeList::size_type i = 0; i < m_edges.size(); ++i) delete [] m_edges[i];
- m_edges.clear();
- m_UseFullRange = 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;
- while( e )
- {
- e->xcurr = e->xbot;
- e->ycurr = e->ybot;
- e->side = esLeft;
- e->outIdx = -1;
- e = e->nextInLML;
- }
- e = lm->rightBound;
- while( e )
- {
- e->xcurr = e->xbot;
- e->ycurr = e->ybot;
- e->side = esRight;
- e->outIdx = -1;
- e = e->nextInLML;
- }
- 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->xbot;
- result.top = lm->leftBound->ybot;
- result.right = lm->leftBound->xbot;
- result.bottom = lm->leftBound->ybot;
- while (lm)
- {
- if (lm->leftBound->ybot > result.bottom)
- result.bottom = lm->leftBound->ybot;
- TEdge* e = lm->leftBound;
- for (;;) {
- TEdge* bottomE = e;
- while (e->nextInLML)
- {
- if (e->xbot < result.left) result.left = e->xbot;
- if (e->xbot > result.right) result.right = e->xbot;
- e = e->nextInLML;
- }
- if (e->xbot < result.left) result.left = e->xbot;
- if (e->xbot > result.right) result.right = e->xbot;
- if (e->xtop < result.left) result.left = e->xtop;
- if (e->xtop > result.right) result.right = e->xtop;
- if (e->ytop < result.top) result.top = e->ytop;
-
- if (bottomE == lm->leftBound) e = lm->rightBound;
- else break;
- }
- lm = lm->next;
- }
- return result;
-}
-
-
-//------------------------------------------------------------------------------
-// TClipper methods ...
-//------------------------------------------------------------------------------
-
-Clipper::Clipper() : ClipperBase() //constructor
-{
- m_Scanbeam = 0;
- m_ActiveEdges = 0;
- m_SortedEdges = 0;
- m_IntersectNodes = 0;
- m_ExecuteLocked = false;
- m_UseFullRange = false;
- m_ReverseOutput = false;
-}
-//------------------------------------------------------------------------------
-
-Clipper::~Clipper() //destructor
-{
- Clear();
- DisposeScanbeamList();
-}
-//------------------------------------------------------------------------------
-
-void Clipper::Clear()
-{
- if (m_edges.size() == 0) return; //avoids problems with ClipperBase destructor
- DisposeAllPolyPts();
- ClipperBase::Clear();
-}
-//------------------------------------------------------------------------------
-
-void Clipper::DisposeScanbeamList()
-{
- while ( m_Scanbeam ) {
- Scanbeam* sb2 = m_Scanbeam->next;
- delete m_Scanbeam;
- m_Scanbeam = sb2;
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::Reset()
-{
- ClipperBase::Reset();
- m_Scanbeam = 0;
- m_ActiveEdges = 0;
- m_SortedEdges = 0;
- DisposeAllPolyPts();
- LocalMinima* lm = m_MinimaList;
- while (lm)
- {
- InsertScanbeam(lm->Y);
- InsertScanbeam(lm->leftBound->ytop);
- lm = lm->next;
- }
-}
-//------------------------------------------------------------------------------
-
-bool Clipper::Execute(ClipType clipType, Polygons &solution,
- PolyFillType subjFillType, PolyFillType clipFillType)
-{
- if( m_ExecuteLocked ) return false;
- m_ExecuteLocked = true;
- solution.resize(0);
- m_SubjFillType = subjFillType;
- m_ClipFillType = clipFillType;
- m_ClipType = clipType;
- bool succeeded = ExecuteInternal(false);
- if (succeeded) BuildResult(solution);
- m_ExecuteLocked = false;
- return succeeded;
-}
-//------------------------------------------------------------------------------
-
-bool Clipper::Execute(ClipType clipType, ExPolygons &solution,
- PolyFillType subjFillType, PolyFillType clipFillType)
-{
- if( m_ExecuteLocked ) return false;
- m_ExecuteLocked = true;
- solution.resize(0);
- m_SubjFillType = subjFillType;
- m_ClipFillType = clipFillType;
- m_ClipType = clipType;
- bool succeeded = ExecuteInternal(true);
- if (succeeded) BuildResultEx(solution);
- m_ExecuteLocked = false;
- return succeeded;
-}
-//------------------------------------------------------------------------------
-
-bool PolySort(OutRec *or1, OutRec *or2)
-{
- if (or1 == or2) return false;
- if (!or1->pts || !or2->pts)
- {
- if (or1->pts != or2->pts)
- {
- return or1->pts ? true : false;
- }
- else return false;
- }
- int i1, i2;
- if (or1->isHole)
- i1 = or1->FirstLeft->idx; else
- i1 = or1->idx;
- if (or2->isHole)
- i2 = or2->FirstLeft->idx; else
- i2 = or2->idx;
- int result = i1 - i2;
- if (result == 0 && (or1->isHole != or2->isHole))
- {
- return or1->isHole ? false : true;
- }
- else return result < 0;
-}
-//------------------------------------------------------------------------------
-
-OutRec* FindAppendLinkEnd(OutRec *outRec)
-{
- while (outRec->AppendLink) outRec = outRec->AppendLink;
- return outRec;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::FixHoleLinkage(OutRec *outRec)
-{
- OutRec *tmp;
- if (outRec->bottomPt)
- tmp = m_PolyOuts[outRec->bottomPt->idx]->FirstLeft;
- else
- tmp = outRec->FirstLeft;
- if (outRec == tmp) throw clipperException("HoleLinkage error");
-
- if (tmp)
- {
- if (tmp->AppendLink) tmp = FindAppendLinkEnd(tmp);
- if (tmp == outRec) tmp = 0;
- else if (tmp->isHole)
- {
- FixHoleLinkage(tmp);
- tmp = tmp->FirstLeft;
- }
- }
- outRec->FirstLeft = tmp;
- if (!tmp) outRec->isHole = false;
- outRec->AppendLink = 0;
-}
-//------------------------------------------------------------------------------
-
-bool Clipper::ExecuteInternal(bool fixHoleLinkages)
-{
- bool succeeded;
- try {
- Reset();
- if (!m_CurrentLM ) return true;
- long64 botY = PopScanbeam();
- do {
- InsertLocalMinimaIntoAEL(botY);
- ClearHorzJoins();
- ProcessHorizontals();
- long64 topY = PopScanbeam();
- succeeded = ProcessIntersections(botY, topY);
- if (!succeeded) break;
- ProcessEdgesAtTopOfScanbeam(topY);
- botY = topY;
- } while( m_Scanbeam );
- }
- catch(...) {
- succeeded = false;
- }
-
- if (succeeded)
- {
- //tidy up output polygons and fix orientations where necessary ...
- for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i)
- {
- OutRec *outRec = m_PolyOuts[i];
- if (!outRec->pts) continue;
- FixupOutPolygon(*outRec);
- if (!outRec->pts) continue;
- if (outRec->isHole && fixHoleLinkages) FixHoleLinkage(outRec);
-
- if (outRec->bottomPt == outRec->bottomFlag &&
- (Orientation(outRec, m_UseFullRange) != (Area(*outRec, m_UseFullRange) > 0)))
- DisposeBottomPt(*outRec);
-
- if (outRec->isHole ==
- (m_ReverseOutput ^ Orientation(outRec, m_UseFullRange)))
- ReversePolyPtLinks(*outRec->pts);
- }
-
- JoinCommonEdges(fixHoleLinkages);
- if (fixHoleLinkages)
- std::sort(m_PolyOuts.begin(), m_PolyOuts.end(), PolySort);
- }
-
- ClearJoins();
- ClearHorzJoins();
- return succeeded;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::InsertScanbeam(const long64 Y)
-{
- if( !m_Scanbeam )
- {
- m_Scanbeam = new Scanbeam;
- m_Scanbeam->next = 0;
- m_Scanbeam->Y = Y;
- }
- else if( Y > m_Scanbeam->Y )
- {
- Scanbeam* newSb = new Scanbeam;
- newSb->Y = Y;
- newSb->next = m_Scanbeam;
- m_Scanbeam = newSb;
- } else
- {
- Scanbeam* sb2 = m_Scanbeam;
- while( sb2->next && ( Y <= sb2->next->Y ) ) sb2 = sb2->next;
- if( Y == sb2->Y ) return; //ie ignores duplicates
- Scanbeam* newSb = new Scanbeam;
- newSb->Y = Y;
- newSb->next = sb2->next;
- sb2->next = newSb;
- }
-}
-//------------------------------------------------------------------------------
-
-long64 Clipper::PopScanbeam()
-{
- long64 Y = m_Scanbeam->Y;
- Scanbeam* sb2 = m_Scanbeam;
- m_Scanbeam = m_Scanbeam->next;
- delete sb2;
- return Y;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::DisposeAllPolyPts(){
- 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->polyType != edge.polyType ) e = e->prevInAEL;
- if ( !e )
- {
- edge.windCnt = edge.windDelta;
- edge.windCnt2 = 0;
- e = m_ActiveEdges; //ie get ready to calc windCnt2
- } else if ( IsEvenOddFillType(edge) )
- {
- //EvenOdd filling ...
- edge.windCnt = 1;
- 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 )
- {
- if (Abs(e->windCnt) > 1)
- {
- if (e->windDelta * edge.windDelta < 0) edge.windCnt = e->windCnt;
- else edge.windCnt = e->windCnt + edge.windDelta;
- } else
- edge.windCnt = e->windCnt + e->windDelta + edge.windDelta;
- } else
- {
- if ( Abs(e->windCnt) > 1 && e->windDelta * edge.windDelta < 0)
- edge.windCnt = e->windCnt;
- else if ( e->windCnt + edge.windDelta == 0 )
- edge.windCnt = e->windCnt;
- 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 )
- {
- 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.polyType == ptSubject)
- return m_SubjFillType == pftEvenOdd; else
- return m_ClipFillType == pftEvenOdd;
-}
-//------------------------------------------------------------------------------
-
-bool Clipper::IsEvenOddAltFillType(const TEdge& edge) const
-{
- if (edge.polyType == ptSubject)
- return m_ClipFillType == pftEvenOdd; else
- return m_SubjFillType == pftEvenOdd;
-}
-//------------------------------------------------------------------------------
-
-bool Clipper::IsContributing(const TEdge& edge) const
-{
- PolyFillType pft, pft2;
- if (edge.polyType == ptSubject)
- {
- pft = m_SubjFillType;
- pft2 = m_ClipFillType;
- } else
- {
- pft = m_ClipFillType;
- pft2 = m_SubjFillType;
- }
-
- switch(pft)
- {
- case pftEvenOdd:
- 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);
- }
- case ctUnion:
- switch(pft2)
- {
- case pftEvenOdd:
- case pftNonZero:
- return (edge.windCnt2 == 0);
- case pftPositive:
- return (edge.windCnt2 <= 0);
- default:
- return (edge.windCnt2 >= 0);
- }
- case ctDifference:
- if (edge.polyType == 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);
- }
- default:
- return true;
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::AddLocalMinPoly(TEdge *e1, TEdge *e2, const IntPoint &pt)
-{
- TEdge *e, *prevE;
- if( NEAR_EQUAL(e2->dx, HORIZONTAL) || ( e1->dx > e2->dx ) )
- {
- 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
- {
- 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))
- AddJoin(e, prevE, -1, -1);
-}
-//------------------------------------------------------------------------------
-
-void Clipper::AddLocalMaxPoly(TEdge *e1, TEdge *e2, const IntPoint &pt)
-{
- AddOutPt( e1, pt );
- if( e1->outIdx == e2->outIdx )
- {
- e1->outIdx = -1;
- e2->outIdx = -1;
- }
- 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;
- if (!m_ActiveEdges) return;
- m_SortedEdges->prevInSEL = 0;
- e = e->nextInAEL;
- while ( e )
- {
- e->prevInSEL = e->prevInAEL;
- e->prevInSEL->nextInSEL = e;
- e->nextInSEL = 0;
- e = e->nextInAEL;
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::AddJoin(TEdge *e1, TEdge *e2, int e1OutIdx, int e2OutIdx)
-{
- JoinRec* jr = new JoinRec;
- if (e1OutIdx >= 0)
- jr->poly1Idx = e1OutIdx; else
- jr->poly1Idx = e1->outIdx;
- jr->pt1a = IntPoint(e1->xcurr, e1->ycurr);
- jr->pt1b = IntPoint(e1->xtop, e1->ytop);
- if (e2OutIdx >= 0)
- jr->poly2Idx = e2OutIdx; else
- jr->poly2Idx = e2->outIdx;
- jr->pt2a = IntPoint(e2->xcurr, e2->ycurr);
- jr->pt2b = IntPoint(e2->xtop, e2->ytop);
- m_Joins.push_back(jr);
-}
-//------------------------------------------------------------------------------
-
-void Clipper::ClearJoins()
-{
- for (JoinList::size_type i = 0; i < m_Joins.size(); i++)
- delete m_Joins[i];
- m_Joins.resize(0);
-}
-//------------------------------------------------------------------------------
-
-void Clipper::AddHorzJoin(TEdge *e, int idx)
-{
- HorzJoinRec* hj = new HorzJoinRec;
- hj->edge = e;
- hj->savedIdx = idx;
- m_HorizJoins.push_back(hj);
-}
-//------------------------------------------------------------------------------
-
-void Clipper::ClearHorzJoins()
-{
- for (HorzJoinList::size_type i = 0; i < m_HorizJoins.size(); i++)
- delete m_HorizJoins[i];
- m_HorizJoins.resize(0);
-}
-//------------------------------------------------------------------------------
-
-void Clipper::InsertLocalMinimaIntoAEL( const long64 botY)
-{
- while( m_CurrentLM && ( m_CurrentLM->Y == botY ) )
- {
- TEdge* lb = m_CurrentLM->leftBound;
- TEdge* rb = m_CurrentLM->rightBound;
-
- InsertEdgeIntoAEL( lb );
- InsertScanbeam( lb->ytop );
- InsertEdgeIntoAEL( rb );
-
- if (IsEvenOddFillType(*lb))
- {
- lb->windDelta = 1;
- rb->windDelta = 1;
- }
- else
- {
- rb->windDelta = -lb->windDelta;
- }
- SetWindingCount( *lb );
- rb->windCnt = lb->windCnt;
- rb->windCnt2 = lb->windCnt2;
-
- if( NEAR_EQUAL(rb->dx, HORIZONTAL) )
- {
- //nb: only rightbounds can have a horizontal bottom edge
- AddEdgeToSEL( rb );
- InsertScanbeam( rb->nextInLML->ytop );
- }
- else
- InsertScanbeam( rb->ytop );
-
- if( IsContributing(*lb) )
- AddLocalMinPoly( lb, rb, IntPoint(lb->xcurr, m_CurrentLM->Y) );
-
- //if any output polygons share an edge, they'll need joining later ...
- if (rb->outIdx >= 0)
- {
- if (NEAR_EQUAL(rb->dx, HORIZONTAL))
- {
- for (HorzJoinList::size_type i = 0; i < m_HorizJoins.size(); ++i)
- {
- IntPoint pt, pt2; //returned by GetOverlapSegment() but unused here.
- HorzJoinRec* hj = m_HorizJoins[i];
- //if horizontals rb and hj.edge overlap, flag for joining later ...
- if (GetOverlapSegment(IntPoint(hj->edge->xbot, hj->edge->ybot),
- IntPoint(hj->edge->xtop, hj->edge->ytop),
- IntPoint(rb->xbot, rb->ybot),
- IntPoint(rb->xtop, rb->ytop), pt, pt2))
- AddJoin(hj->edge, rb, hj->savedIdx);
- }
- }
- }
-
- if( lb->nextInAEL != rb )
- {
- if (rb->outIdx >= 0 && rb->prevInAEL->outIdx >= 0 &&
- SlopesEqual(*rb->prevInAEL, *rb, m_UseFullRange))
- AddJoin(rb, rb->prevInAEL);
-
- TEdge* e = lb->nextInAEL;
- IntPoint pt = IntPoint(lb->xcurr, lb->ycurr);
- while( e != rb )
- {
- if(!e) throw clipperException("InsertLocalMinimaIntoAEL: missing rightbound!");
- //nb: For calculating winding counts etc, IntersectEdges() assumes
- //that param1 will be to the right of param2 ABOVE the intersection ...
- IntersectEdges( rb , e , pt , ipNone); //order important here
- e = e->nextInAEL;
- }
- }
- PopLocalMinima();
- }
-}
-//------------------------------------------------------------------------------
-
-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;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::IntersectEdges(TEdge *e1, TEdge *e2,
- const IntPoint &pt, IntersectProtects protects)
-{
- //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 = !(ipLeft & protects) && !e1->nextInLML &&
- e1->xtop == pt.X && e1->ytop == pt.Y;
- bool e2stops = !(ipRight & protects) && !e2->nextInLML &&
- e2->xtop == pt.X && e2->ytop == pt.Y;
- bool e1Contributing = ( e1->outIdx >= 0 );
- bool e2contributing = ( e2->outIdx >= 0 );
-
- //update winding counts...
- //assumes that e1 will be to the right of e2 ABOVE the intersection
- if ( e1->polyType == e2->polyType )
- {
- 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->polyType == ptSubject)
- {
- e1FillType = m_SubjFillType;
- e1FillType2 = m_ClipFillType;
- } else
- {
- e1FillType = m_ClipFillType;
- e1FillType2 = m_SubjFillType;
- }
- if (e2->polyType == ptSubject)
- {
- e2FillType = m_SubjFillType;
- e2FillType2 = m_ClipFillType;
- } else
- {
- e2FillType = m_ClipFillType;
- e2FillType2 = m_SubjFillType;
- }
-
- long64 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->polyType != e2->polyType && m_ClipType != ctXor) )
- AddLocalMaxPoly(e1, e2, pt);
- else
- DoBothEdges( e1, e2, pt );
- }
- else if ( e1Contributing )
- {
- if ((e2Wc == 0 || e2Wc == 1) &&
- (m_ClipType != ctIntersection ||
- e2->polyType == ptSubject || (e2->windCnt2 != 0)))
- DoEdge1(e1, e2, pt);
- }
- else if ( e2contributing )
- {
- if ((e1Wc == 0 || e1Wc == 1) &&
- (m_ClipType != ctIntersection ||
- e1->polyType == ptSubject || (e1->windCnt2 != 0)))
- DoEdge2(e1, e2, pt);
- }
- else if ( (e1Wc == 0 || e1Wc == 1) &&
- (e2Wc == 0 || e2Wc == 1) && !e1stops && !e2stops )
- {
- //neither edge is currently contributing ...
-
- long64 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->polyType != e2->polyType)
- 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->polyType == ptClip) && (e1Wc2 > 0) && (e2Wc2 > 0)) ||
- ((e1->polyType == 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)
- {
- 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 ...
- 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;
-}
-//------------------------------------------------------------------------------
-
-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);
-
- 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;
- }
-
- if (holeStateRec == outRec2)
- {
- outRec1->bottomPt = outRec2->bottomPt;
- outRec1->bottomPt->idx = outRec1->idx;
- if (outRec2->FirstLeft != outRec1)
- outRec1->FirstLeft = outRec2->FirstLeft;
- outRec1->isHole = outRec2->isHole;
- }
- outRec2->pts = 0;
- outRec2->bottomPt = 0;
- outRec2->AppendLink = outRec1;
- int OKIdx = e1->outIdx;
- int ObsoleteIdx = e2->outIdx;
-
- e1->outIdx = -1; //nb: safe because we only get here via AddLocalMaxPoly
- e2->outIdx = -1;
-
- TEdge* e = m_ActiveEdges;
- while( e )
- {
- if( e->outIdx == ObsoleteIdx )
- {
- e->outIdx = OKIdx;
- e->side = side;
- break;
- }
- e = e->nextInAEL;
- }
-
- for (JoinList::size_type i = 0; i < m_Joins.size(); ++i)
- {
- if (m_Joins[i]->poly1Idx == ObsoleteIdx) m_Joins[i]->poly1Idx = OKIdx;
- if (m_Joins[i]->poly2Idx == ObsoleteIdx) m_Joins[i]->poly2Idx = OKIdx;
- }
-
- for (HorzJoinList::size_type i = 0; i < m_HorizJoins.size(); ++i)
- {
- if (m_HorizJoins[i]->savedIdx == ObsoleteIdx)
- m_HorizJoins[i]->savedIdx = OKIdx;
- }
-
-}
-//------------------------------------------------------------------------------
-
-OutRec* Clipper::CreateOutRec()
-{
- OutRec* result = new OutRec;
- result->isHole = false;
- result->FirstLeft = 0;
- result->AppendLink = 0;
- result->pts = 0;
- result->bottomPt = 0;
- result->sides = esNeither;
- result->bottomFlag = 0;
-
- return result;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::DisposeBottomPt(OutRec &outRec)
-{
- OutPt* next = outRec.bottomPt->next;
- OutPt* prev = outRec.bottomPt->prev;
- if (outRec.pts == outRec.bottomPt) outRec.pts = next;
- delete outRec.bottomPt;
- next->prev = prev;
- prev->next = next;
- outRec.bottomPt = next;
- FixupOutPolygon(outRec);
-}
-//------------------------------------------------------------------------------
-
-void Clipper::AddOutPt(TEdge *e, const IntPoint &pt)
-{
- bool ToFront = (e->side == esLeft);
- if( e->outIdx < 0 )
- {
- OutRec *outRec = CreateOutRec();
- m_PolyOuts.push_back(outRec);
- outRec->idx = (int)m_PolyOuts.size()-1;
- e->outIdx = outRec->idx;
- OutPt* op = new OutPt;
- outRec->pts = op;
- outRec->bottomPt = op;
- op->pt = pt;
- op->idx = outRec->idx;
- op->next = op;
- op->prev = op;
- SetHoleState(e, outRec);
- } else
- {
- OutRec *outRec = m_PolyOuts[e->outIdx];
- OutPt* op = outRec->pts;
- if ((ToFront && PointsEqual(pt, op->pt)) ||
- (!ToFront && PointsEqual(pt, op->prev->pt))) return;
-
- if ((e->side | outRec->sides) != outRec->sides)
- {
- //check for 'rounding' artefacts ...
- if (outRec->sides == esNeither && pt.Y == op->pt.Y)
- {
- if (ToFront)
- {
- if (pt.X == op->pt.X +1) return; //ie wrong side of bottomPt
- }
- else if (pt.X == op->pt.X -1) return; //ie wrong side of bottomPt
- }
-
- outRec->sides = (EdgeSide)(outRec->sides | e->side);
- if (outRec->sides == esBoth)
- {
- //A vertex from each side has now been added.
- //Vertices of one side of an output polygon are quite commonly close to
- //or even 'touching' edges of the other side of the output polygon.
- //Very occasionally vertices from one side can 'cross' an edge on the
- //the other side. The distance 'crossed' is always less that a unit
- //and is purely an artefact of coordinate rounding. Nevertheless, this
- //results in very tiny self-intersections. Because of the way
- //orientation is calculated, even tiny self-intersections can cause
- //the Orientation function to return the wrong result. Therefore, it's
- //important to ensure that any self-intersections close to BottomPt are
- //detected and removed before orientation is assigned.
-
- OutPt *opBot, *op2;
- if (ToFront)
- {
- opBot = outRec->pts;
- op2 = opBot->next; //op2 == right side
- if (opBot->pt.Y != op2->pt.Y && opBot->pt.Y != pt.Y &&
- ((opBot->pt.X - pt.X)/(opBot->pt.Y - pt.Y) <
- (opBot->pt.X - op2->pt.X)/(opBot->pt.Y - op2->pt.Y)))
- outRec->bottomFlag = opBot;
- } else
- {
- opBot = outRec->pts->prev;
- op2 = opBot->prev; //op2 == left side
- if (opBot->pt.Y != op2->pt.Y && opBot->pt.Y != pt.Y &&
- ((opBot->pt.X - pt.X)/(opBot->pt.Y - pt.Y) >
- (opBot->pt.X - op2->pt.X)/(opBot->pt.Y - op2->pt.Y)))
- outRec->bottomFlag = opBot;
- }
- }
- }
-
- OutPt* op2 = new OutPt;
- op2->pt = pt;
- op2->idx = outRec->idx;
- if (op2->pt.Y == outRec->bottomPt->pt.Y &&
- op2->pt.X < outRec->bottomPt->pt.X)
- outRec->bottomPt = op2;
- op2->next = op;
- op2->prev = op->prev;
- op2->prev->next = op2;
- op->prev = op2;
- if (ToFront) outRec->pts = op2;
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::ProcessHorizontals()
-{
- TEdge* horzEdge = m_SortedEdges;
- while( horzEdge )
- {
- DeleteFromSEL( horzEdge );
- ProcessHorizontal( horzEdge );
- horzEdge = m_SortedEdges;
- }
-}
-//------------------------------------------------------------------------------
-
-bool Clipper::IsTopHorz(const long64 XPos)
-{
- TEdge* e = m_SortedEdges;
- while( e )
- {
- if( ( XPos >= std::min(e->xcurr, e->xtop) ) &&
- ( XPos <= std::max(e->xcurr, e->xtop) ) ) return false;
- e = e->nextInSEL;
- }
- return true;
-}
-//------------------------------------------------------------------------------
-
-bool IsMinima(TEdge *e)
-{
- return e && (e->prev->nextInLML != e) && (e->next->nextInLML != e);
-}
-//------------------------------------------------------------------------------
-
-bool IsMaxima(TEdge *e, const long64 Y)
-{
- return e && e->ytop == Y && !e->nextInLML;
-}
-//------------------------------------------------------------------------------
-
-bool IsIntermediate(TEdge *e, const long64 Y)
-{
- return e->ytop == Y && e->nextInLML;
-}
-//------------------------------------------------------------------------------
-
-TEdge *GetMaximaPair(TEdge *e)
-{
- if( !IsMaxima(e->next, e->ytop) || e->next->xtop != e->xtop )
- return e->prev; else
- return e->next;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::SwapPositionsInAEL(TEdge *edge1, TEdge *edge2)
-{
- if( !edge1->nextInAEL && !edge1->prevInAEL ) return;
- if( !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 Clipper::ProcessHorizontal(TEdge *horzEdge)
-{
- Direction dir;
- long64 horzLeft, horzRight;
-
- if( horzEdge->xcurr < horzEdge->xtop )
- {
- horzLeft = horzEdge->xcurr;
- horzRight = horzEdge->xtop;
- dir = dLeftToRight;
- } else
- {
- horzLeft = horzEdge->xtop;
- horzRight = horzEdge->xcurr;
- dir = dRightToLeft;
- }
-
- TEdge* eMaxPair;
- if( horzEdge->nextInLML ) eMaxPair = 0;
- else eMaxPair = GetMaximaPair(horzEdge);
-
- TEdge* e = GetNextInAEL( horzEdge , dir );
- while( e )
- {
- TEdge* eNext = GetNextInAEL( e, dir );
-
- if (eMaxPair ||
- ((dir == dLeftToRight) && (e->xcurr <= horzRight)) ||
- ((dir == dRightToLeft) && (e->xcurr >= horzLeft)))
- {
- //ok, so far it looks like we're still in range of the horizontal edge
- if ( e->xcurr == horzEdge->xtop && !eMaxPair )
- {
- assert(horzEdge->nextInLML);
- if (SlopesEqual(*e, *horzEdge->nextInLML, m_UseFullRange))
- {
- //if output polygons share an edge, they'll need joining later ...
- if (horzEdge->outIdx >= 0 && e->outIdx >= 0)
- AddJoin(horzEdge->nextInLML, e, horzEdge->outIdx);
- break; //we've reached the end of the horizontal line
- }
- else if (e->dx < horzEdge->nextInLML->dx)
- //we really have got to the end of the intermediate horz edge so quit.
- //nb: More -ve slopes follow more +ve slopes ABOVE the horizontal.
- break;
- }
-
- if( e == eMaxPair )
- {
- //horzEdge is evidently a maxima horizontal and we've arrived at its end.
- if (dir == dLeftToRight)
- IntersectEdges(horzEdge, e, IntPoint(e->xcurr, horzEdge->ycurr), ipNone);
- else
- IntersectEdges(e, horzEdge, IntPoint(e->xcurr, horzEdge->ycurr), ipNone);
- if (eMaxPair->outIdx >= 0) throw clipperException("ProcessHorizontal error");
- return;
- }
- else if( NEAR_EQUAL(e->dx, HORIZONTAL) && !IsMinima(e) && !(e->xcurr > e->xtop) )
- {
- //An overlapping horizontal edge. Overlapping horizontal edges are
- //processed as if layered with the current horizontal edge (horizEdge)
- //being infinitesimally lower that the next (e). Therfore, we
- //intersect with e only if e.xcurr is within the bounds of horzEdge ...
- if( dir == dLeftToRight )
- IntersectEdges( horzEdge , e, IntPoint(e->xcurr, horzEdge->ycurr),
- (IsTopHorz( e->xcurr ))? ipLeft : ipBoth );
- else
- IntersectEdges( e, horzEdge, IntPoint(e->xcurr, horzEdge->ycurr),
- (IsTopHorz( e->xcurr ))? ipRight : ipBoth );
- }
- else if( dir == dLeftToRight )
- {
- IntersectEdges( horzEdge, e, IntPoint(e->xcurr, horzEdge->ycurr),
- (IsTopHorz( e->xcurr ))? ipLeft : ipBoth );
- }
- else
- {
- IntersectEdges( e, horzEdge, IntPoint(e->xcurr, horzEdge->ycurr),
- (IsTopHorz( e->xcurr ))? ipRight : ipBoth );
- }
- SwapPositionsInAEL( horzEdge, e );
- }
- else if( (dir == dLeftToRight && e->xcurr > horzRight && m_SortedEdges) ||
- (dir == dRightToLeft && e->xcurr < horzLeft && m_SortedEdges) ) break;
- e = eNext;
- } //end while
-
- if( horzEdge->nextInLML )
- {
- if( horzEdge->outIdx >= 0 )
- AddOutPt( horzEdge, IntPoint(horzEdge->xtop, horzEdge->ytop));
- UpdateEdgeIntoAEL( horzEdge );
- }
- else
- {
- if ( horzEdge->outIdx >= 0 )
- IntersectEdges( horzEdge, eMaxPair,
- IntPoint(horzEdge->xtop, horzEdge->ycurr), ipBoth);
- assert(eMaxPair);
- if (eMaxPair->outIdx >= 0) throw clipperException("ProcessHorizontal error");
- DeleteFromAEL(eMaxPair);
- DeleteFromAEL(horzEdge);
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::UpdateEdgeIntoAEL(TEdge *&e)
-{
- if( !e->nextInLML ) throw
- clipperException("UpdateEdgeIntoAEL: invalid call");
- TEdge* AelPrev = e->prevInAEL;
- TEdge* AelNext = e->nextInAEL;
- e->nextInLML->outIdx = e->outIdx;
- 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->prevInAEL = AelPrev;
- e->nextInAEL = AelNext;
- if( !NEAR_EQUAL(e->dx, HORIZONTAL) ) InsertScanbeam( e->ytop );
-}
-//------------------------------------------------------------------------------
-
-bool Clipper::ProcessIntersections(const long64 botY, const long64 topY)
-{
- if( !m_ActiveEdges ) return true;
- try {
- BuildIntersectList(botY, topY);
- if ( !m_IntersectNodes) return true;
- if ( FixupIntersections() ) ProcessIntersectList();
- else return false;
- }
- catch(...) {
- m_SortedEdges = 0;
- DisposeIntersectNodes();
- throw clipperException("ProcessIntersections error");
- }
- return true;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::DisposeIntersectNodes()
-{
- while ( m_IntersectNodes )
- {
- IntersectNode* iNode = m_IntersectNodes->next;
- delete m_IntersectNodes;
- m_IntersectNodes = iNode;
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::BuildIntersectList(const long64 botY, const long64 topY)
-{
- if ( !m_ActiveEdges ) return;
-
- //prepare for sorting ...
- TEdge* e = m_ActiveEdges;
- e->tmpX = TopX( *e, topY );
- m_SortedEdges = e;
- m_SortedEdges->prevInSEL = 0;
- e = e->nextInAEL;
- while( e )
- {
- e->prevInSEL = e->prevInAEL;
- e->prevInSEL->nextInSEL = e;
- e->nextInSEL = 0;
- e->tmpX = TopX( *e, topY );
- e = e->nextInAEL;
- }
-
- //bubblesort ...
- bool isModified = true;
- while( isModified && m_SortedEdges )
- {
- isModified = false;
- e = m_SortedEdges;
- while( e->nextInSEL )
- {
- TEdge *eNext = e->nextInSEL;
- IntPoint pt;
- if(e->tmpX > eNext->tmpX &&
- IntersectPoint(*e, *eNext, pt, m_UseFullRange))
- {
- if (pt.Y > botY)
- {
- pt.Y = botY;
- pt.X = TopX(*e, pt.Y);
- }
- AddIntersectNode( e, eNext, pt );
- SwapPositionsInSEL(e, eNext);
- isModified = true;
- }
- else
- e = eNext;
- }
- if( e->prevInSEL ) e->prevInSEL->nextInSEL = 0;
- else break;
- }
- m_SortedEdges = 0;
-}
-//------------------------------------------------------------------------------
-
-bool ProcessParam1BeforeParam2(IntersectNode &node1, IntersectNode &node2)
-{
- bool result;
- if (node1.pt.Y == node2.pt.Y)
- {
- if (node1.edge1 == node2.edge1 || node1.edge2 == node2.edge1)
- {
- result = node2.pt.X > node1.pt.X;
- return node2.edge1->dx > 0 ? !result : result;
- }
- else if (node1.edge1 == node2.edge2 || node1.edge2 == node2.edge2)
- {
- result = node2.pt.X > node1.pt.X;
- return node2.edge2->dx > 0 ? !result : result;
- }
- else return node2.pt.X > node1.pt.X;
- }
- else return node1.pt.Y > node2.pt.Y;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::AddIntersectNode(TEdge *e1, TEdge *e2, const IntPoint &pt)
-{
- IntersectNode* newNode = new IntersectNode;
- newNode->edge1 = e1;
- newNode->edge2 = e2;
- newNode->pt = pt;
- newNode->next = 0;
- if( !m_IntersectNodes ) m_IntersectNodes = newNode;
- else if( ProcessParam1BeforeParam2(*newNode, *m_IntersectNodes) )
- {
- newNode->next = m_IntersectNodes;
- m_IntersectNodes = newNode;
- }
- else
- {
- IntersectNode* iNode = m_IntersectNodes;
- while( iNode->next && ProcessParam1BeforeParam2(*iNode->next, *newNode) )
- iNode = iNode->next;
- newNode->next = iNode->next;
- iNode->next = newNode;
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::ProcessIntersectList()
-{
- while( m_IntersectNodes )
- {
- IntersectNode* iNode = m_IntersectNodes->next;
- {
- IntersectEdges( m_IntersectNodes->edge1 ,
- m_IntersectNodes->edge2 , m_IntersectNodes->pt, ipBoth );
- SwapPositionsInAEL( m_IntersectNodes->edge1 , m_IntersectNodes->edge2 );
- }
- delete m_IntersectNodes;
- m_IntersectNodes = iNode;
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::DoMaxima(TEdge *e, long64 topY)
-{
- TEdge* eMaxPair = GetMaximaPair(e);
- long64 X = e->xtop;
- TEdge* eNext = e->nextInAEL;
- while( eNext != eMaxPair )
- {
- if (!eNext) throw clipperException("DoMaxima error");
- IntersectEdges( e, eNext, IntPoint(X, topY), ipBoth );
- eNext = eNext->nextInAEL;
- }
- if( e->outIdx < 0 && eMaxPair->outIdx < 0 )
- {
- DeleteFromAEL( e );
- DeleteFromAEL( eMaxPair );
- }
- else if( e->outIdx >= 0 && eMaxPair->outIdx >= 0 )
- {
- IntersectEdges( e, eMaxPair, IntPoint(X, topY), ipNone );
- }
- else throw clipperException("DoMaxima error");
-}
-//------------------------------------------------------------------------------
-
-void Clipper::ProcessEdgesAtTopOfScanbeam(const long64 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.
- if( IsMaxima(e, topY) && !NEAR_EQUAL(GetMaximaPair(e)->dx, HORIZONTAL) )
- {
- //'e' might be removed from AEL, as may any following edges so ...
- TEdge* ePrior = e->prevInAEL;
- DoMaxima(e, topY);
- if( !ePrior ) e = m_ActiveEdges;
- else e = ePrior->nextInAEL;
- }
- else
- {
- //2. promote horizontal edges, otherwise update xcurr and ycurr ...
- if( IsIntermediate(e, topY) && NEAR_EQUAL(e->nextInLML->dx, HORIZONTAL) )
- {
- if (e->outIdx >= 0)
- {
- AddOutPt(e, IntPoint(e->xtop, e->ytop));
-
- for (HorzJoinList::size_type i = 0; i < m_HorizJoins.size(); ++i)
- {
- IntPoint pt, pt2;
- HorzJoinRec* hj = m_HorizJoins[i];
- if (GetOverlapSegment(IntPoint(hj->edge->xbot, hj->edge->ybot),
- IntPoint(hj->edge->xtop, hj->edge->ytop),
- IntPoint(e->nextInLML->xbot, e->nextInLML->ybot),
- IntPoint(e->nextInLML->xtop, e->nextInLML->ytop), pt, pt2))
- AddJoin(hj->edge, e->nextInLML, hj->savedIdx, e->outIdx);
- }
-
- AddHorzJoin(e->nextInLML, e->outIdx);
- }
- UpdateEdgeIntoAEL(e);
- AddEdgeToSEL(e);
- } else
- {
- //this just simplifies horizontal processing ...
- e->xcurr = TopX( *e, topY );
- e->ycurr = topY;
- }
- e = e->nextInAEL;
- }
- }
-
- //3. Process horizontals at the top of the scanbeam ...
- ProcessHorizontals();
-
- //4. Promote intermediate vertices ...
- e = m_ActiveEdges;
- while( e )
- {
- if( IsIntermediate( e, topY ) )
- {
- if( e->outIdx >= 0 ) AddOutPt(e, IntPoint(e->xtop,e->ytop));
- UpdateEdgeIntoAEL(e);
-
- //if output polygons share an edge, they'll need joining later ...
- if (e->outIdx >= 0 && e->prevInAEL && e->prevInAEL->outIdx >= 0 &&
- e->prevInAEL->xcurr == e->xbot && e->prevInAEL->ycurr == e->ybot &&
- SlopesEqual(IntPoint(e->xbot,e->ybot), IntPoint(e->xtop, e->ytop),
- IntPoint(e->xbot,e->ybot),
- IntPoint(e->prevInAEL->xtop, e->prevInAEL->ytop), m_UseFullRange))
- {
- AddOutPt(e->prevInAEL, IntPoint(e->xbot, e->ybot));
- AddJoin(e, e->prevInAEL);
- }
- else if (e->outIdx >= 0 && e->nextInAEL && e->nextInAEL->outIdx >= 0 &&
- e->nextInAEL->ycurr > e->nextInAEL->ytop &&
- e->nextInAEL->ycurr <= e->nextInAEL->ybot &&
- e->nextInAEL->xcurr == e->xbot && e->nextInAEL->ycurr == e->ybot &&
- SlopesEqual(IntPoint(e->xbot,e->ybot), IntPoint(e->xtop, e->ytop),
- IntPoint(e->xbot,e->ybot),
- IntPoint(e->nextInAEL->xtop, e->nextInAEL->ytop), m_UseFullRange))
- {
- AddOutPt(e->nextInAEL, IntPoint(e->xbot, e->ybot));
- AddJoin(e, e->nextInAEL);
- }
- }
- 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.pts = outRec.bottomPt;
- OutPt *pp = outRec.bottomPt;
-
- for (;;)
- {
- if (pp->prev == pp || pp->prev == pp->next )
- {
- DisposeOutPts(pp);
- outRec.pts = 0;
- outRec.bottomPt = 0;
- return;
- }
- //test for duplicate points and for same slope (cross-product) ...
- if ( PointsEqual(pp->pt, pp->next->pt) ||
- SlopesEqual(pp->prev->pt, pp->pt, pp->next->pt, m_UseFullRange) )
- {
- lastOK = 0;
- OutPt *tmp = pp;
- if (pp == outRec.bottomPt)
- outRec.bottomPt = 0; //flags need for updating
- 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;
- }
- }
- if (!outRec.bottomPt) {
- outRec.bottomPt = GetBottomPt(pp);
- outRec.bottomPt->idx = outRec.idx;
- outRec.pts = outRec.bottomPt;
- }
-}
-//------------------------------------------------------------------------------
-
-void Clipper::BuildResult(Polygons &polys)
-{
- int k = 0;
- polys.resize(m_PolyOuts.size());
- for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i)
- {
- if (m_PolyOuts[i]->pts)
- {
- Polygon* pg = &polys[k];
- pg->clear();
- OutPt* p = m_PolyOuts[i]->pts;
- do
- {
- pg->push_back(p->pt);
- p = p->next;
- } while (p != m_PolyOuts[i]->pts);
- //make sure each polygon has at least 3 vertices ...
- if (pg->size() < 3) pg->clear(); else k++;
- }
- }
- polys.resize(k);
-}
-//------------------------------------------------------------------------------
-
-void Clipper::BuildResultEx(ExPolygons &polys)
-{
- PolyOutList::size_type i = 0;
- int k = 0;
- polys.resize(0);
- polys.reserve(m_PolyOuts.size());
- while (i < m_PolyOuts.size() && m_PolyOuts[i]->pts)
- {
- ExPolygon epg;
- OutPt* p = m_PolyOuts[i]->pts;
- do {
- epg.outer.push_back(p->pt);
- p = p->next;
- } while (p != m_PolyOuts[i]->pts);
- i++;
- //make sure polygons have at least 3 vertices ...
- if (epg.outer.size() < 3) continue;
- while (i < m_PolyOuts.size()
- && m_PolyOuts[i]->pts && m_PolyOuts[i]->isHole)
- {
- Polygon pg;
- p = m_PolyOuts[i]->pts;
- do {
- pg.push_back(p->pt);
- p = p->next;
- } while (p != m_PolyOuts[i]->pts);
- epg.holes.push_back(pg);
- i++;
- }
- polys.push_back(epg);
- k++;
- }
- polys.resize(k);
-}
-//------------------------------------------------------------------------------
-
-void SwapIntersectNodes(IntersectNode &int1, IntersectNode &int2)
-{
- TEdge *e1 = int1.edge1;
- TEdge *e2 = int1.edge2;
- IntPoint p = int1.pt;
-
- int1.edge1 = int2.edge1;
- int1.edge2 = int2.edge2;
- int1.pt = int2.pt;
-
- int2.edge1 = e1;
- int2.edge2 = e2;
- int2.pt = p;
-}
-//------------------------------------------------------------------------------
-
-bool Clipper::FixupIntersections()
-{
- if ( !m_IntersectNodes->next ) return true;
-
- CopyAELToSEL();
- IntersectNode *int1 = m_IntersectNodes;
- IntersectNode *int2 = m_IntersectNodes->next;
- while (int2)
- {
- TEdge *e1 = int1->edge1;
- TEdge *e2;
- if (e1->prevInSEL == int1->edge2) e2 = e1->prevInSEL;
- else if (e1->nextInSEL == int1->edge2) e2 = e1->nextInSEL;
- else
- {
- //The current intersection is out of order, so try and swap it with
- //a subsequent intersection ...
- while (int2)
- {
- if (int2->edge1->nextInSEL == int2->edge2 ||
- int2->edge1->prevInSEL == int2->edge2) break;
- else int2 = int2->next;
- }
- if ( !int2 ) return false; //oops!!!
-
- //found an intersect node that can be swapped ...
- SwapIntersectNodes(*int1, *int2);
- e1 = int1->edge1;
- e2 = int1->edge2;
- }
- SwapPositionsInSEL(e1, e2);
- int1 = int1->next;
- int2 = int1->next;
- }
-
- m_SortedEdges = 0;
-
- //finally, check the last intersection too ...
- return (int1->edge1->prevInSEL == int1->edge2 ||
- int1->edge1->nextInSEL == int1->edge2);
-}
-//------------------------------------------------------------------------------
-
-bool E2InsertsBeforeE1(TEdge &e1, TEdge &e2)
-{
- return e2.xcurr == e1.xcurr ? e2.dx > e1.dx : e2.xcurr < e1.xcurr;
-}
-//------------------------------------------------------------------------------
-
-void Clipper::InsertEdgeIntoAEL(TEdge *edge)
-{
- edge->prevInAEL = 0;
- edge->nextInAEL = 0;
- if( !m_ActiveEdges )
- {
- m_ActiveEdges = edge;
- }
- else if( E2InsertsBeforeE1(*m_ActiveEdges, *edge) )
- {
- edge->nextInAEL = m_ActiveEdges;
- m_ActiveEdges->prevInAEL = edge;
- m_ActiveEdges = edge;
- } else
- {
- TEdge* e = m_ActiveEdges;
- while( e->nextInAEL && !E2InsertsBeforeE1(*e->nextInAEL , *edge) )
- e = e->nextInAEL;
- edge->nextInAEL = e->nextInAEL;
- if( e->nextInAEL ) e->nextInAEL->prevInAEL = edge;
- edge->prevInAEL = e;
- e->nextInAEL = edge;
- }
-}
-//----------------------------------------------------------------------
-
-void Clipper::DoEdge1(TEdge *edge1, TEdge *edge2, const IntPoint &pt)
-{
- AddOutPt(edge1, pt);
- SwapSides(*edge1, *edge2);
- SwapPolyIndexes(*edge1, *edge2);
-}
-//----------------------------------------------------------------------
-
-void Clipper::DoEdge2(TEdge *edge1, TEdge *edge2, const IntPoint &pt)
-{
- AddOutPt(edge2, pt);
- SwapSides(*edge1, *edge2);
- SwapPolyIndexes(*edge1, *edge2);
-}
-//----------------------------------------------------------------------
-
-void Clipper::DoBothEdges(TEdge *edge1, TEdge *edge2, const IntPoint &pt)
-{
- AddOutPt(edge1, pt);
- AddOutPt(edge2, pt);
- SwapSides( *edge1 , *edge2 );
- SwapPolyIndexes( *edge1 , *edge2 );
-}
-//----------------------------------------------------------------------
-
-void Clipper::CheckHoleLinkages1(OutRec *outRec1, OutRec *outRec2)
-{
- //when a polygon is split into 2 polygons, make sure any holes the original
- //polygon contained link to the correct polygon ...
- for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i)
- {
- OutRec *orec = m_PolyOuts[i];
- if (orec->isHole && orec->bottomPt && orec->FirstLeft == outRec1 &&
- !PointInPolygon(orec->bottomPt->pt, outRec1->pts, m_UseFullRange))
- orec->FirstLeft = outRec2;
- }
-}
-//----------------------------------------------------------------------
-
-void Clipper::CheckHoleLinkages2(OutRec *outRec1, OutRec *outRec2)
-{
- //if a hole is owned by outRec2 then make it owned by outRec1 ...
- for (PolyOutList::size_type i = 0; i < m_PolyOuts.size(); ++i)
- if (m_PolyOuts[i]->isHole && m_PolyOuts[i]->bottomPt &&
- m_PolyOuts[i]->FirstLeft == outRec2)
- m_PolyOuts[i]->FirstLeft = outRec1;
-}
-//----------------------------------------------------------------------
-
-void Clipper::JoinCommonEdges(bool fixHoleLinkages)
-{
- for (JoinList::size_type i = 0; i < m_Joins.size(); i++)
- {
- JoinRec* j = m_Joins[i];
- OutRec *outRec1 = m_PolyOuts[j->poly1Idx];
- OutPt *pp1a = outRec1->pts;
- OutRec *outRec2 = m_PolyOuts[j->poly2Idx];
- OutPt *pp2a = outRec2->pts;
- IntPoint pt1 = j->pt2a, pt2 = j->pt2b;
- IntPoint pt3 = j->pt1a, pt4 = j->pt1b;
- if (!FindSegment(pp1a, pt1, pt2)) continue;
- if (j->poly1Idx == j->poly2Idx)
- {
- //we're searching the same polygon for overlapping segments so
- //segment 2 mustn't be the same as segment 1 ...
- pp2a = pp1a->next;
- if (!FindSegment(pp2a, pt3, pt4) || (pp2a == pp1a)) continue;
- }
- else if (!FindSegment(pp2a, pt3, pt4)) continue;
-
- if (!GetOverlapSegment(pt1, pt2, pt3, pt4, pt1, pt2)) continue;
-
- OutPt *p1, *p2, *p3, *p4;
- OutPt *prev = pp1a->prev;
- //get p1 & p2 polypts - the overlap start & endpoints on poly1
- if (PointsEqual(pp1a->pt, pt1)) p1 = pp1a;
- else if (PointsEqual(prev->pt, pt1)) p1 = prev;
- else p1 = InsertPolyPtBetween(pp1a, prev, pt1);
-
- if (PointsEqual(pp1a->pt, pt2)) p2 = pp1a;
- else if (PointsEqual(prev->pt, pt2)) p2 = prev;
- else if ((p1 == pp1a) || (p1 == prev))
- p2 = InsertPolyPtBetween(pp1a, prev, pt2);
- else if (Pt3IsBetweenPt1AndPt2(pp1a->pt, p1->pt, pt2))
- p2 = InsertPolyPtBetween(pp1a, p1, pt2); else
- p2 = InsertPolyPtBetween(p1, prev, pt2);
-
- //get p3 & p4 polypts - the overlap start & endpoints on poly2
- prev = pp2a->prev;
- if (PointsEqual(pp2a->pt, pt1)) p3 = pp2a;
- else if (PointsEqual(prev->pt, pt1)) p3 = prev;
- else p3 = InsertPolyPtBetween(pp2a, prev, pt1);
-
- if (PointsEqual(pp2a->pt, pt2)) p4 = pp2a;
- else if (PointsEqual(prev->pt, pt2)) p4 = prev;
- else if ((p3 == pp2a) || (p3 == prev))
- p4 = InsertPolyPtBetween(pp2a, prev, pt2);
- else if (Pt3IsBetweenPt1AndPt2(pp2a->pt, p3->pt, pt2))
- p4 = InsertPolyPtBetween(pp2a, p3, pt2); else
- p4 = InsertPolyPtBetween(p3, prev, pt2);
-
- //p1.pt == p3.pt and p2.pt == p4.pt so join p1 to p3 and p2 to p4 ...
- if (p1->next == p2 && p3->prev == p4)
- {
- p1->next = p3;
- p3->prev = p1;
- p2->prev = p4;
- p4->next = p2;
- }
- else if (p1->prev == p2 && p3->next == p4)
- {
- p1->prev = p3;
- p3->next = p1;
- p2->next = p4;
- p4->prev = p2;
- }
- else
- continue; //an orientation is probably wrong
-
- if (j->poly2Idx == j->poly1Idx)
- {
- //instead of joining two polygons, we've just created a new one by
- //splitting one polygon into two.
- outRec1->pts = GetBottomPt(p1);
- outRec1->bottomPt = outRec1->pts;
- outRec1->bottomPt->idx = outRec1->idx;
- outRec2 = CreateOutRec();
- m_PolyOuts.push_back(outRec2);
- outRec2->idx = (int)m_PolyOuts.size()-1;
- j->poly2Idx = outRec2->idx;
- outRec2->pts = GetBottomPt(p2);
- outRec2->bottomPt = outRec2->pts;
- outRec2->bottomPt->idx = outRec2->idx;
-
- if (PointInPolygon(outRec2->pts->pt, outRec1->pts, m_UseFullRange))
- {
- //outRec2 is contained by outRec1 ...
- outRec2->isHole = !outRec1->isHole;
- outRec2->FirstLeft = outRec1;
- if (outRec2->isHole ==
- (m_ReverseOutput ^ Orientation(outRec2, m_UseFullRange)))
- ReversePolyPtLinks(*outRec2->pts);
- } else if (PointInPolygon(outRec1->pts->pt, outRec2->pts, m_UseFullRange))
- {
- //outRec1 is contained by outRec2 ...
- outRec2->isHole = outRec1->isHole;
- outRec1->isHole = !outRec2->isHole;
- outRec2->FirstLeft = outRec1->FirstLeft;
- outRec1->FirstLeft = outRec2;
- if (outRec1->isHole ==
- (m_ReverseOutput ^ Orientation(outRec1, m_UseFullRange)))
- ReversePolyPtLinks(*outRec1->pts);
- //make sure any contained holes now link to the correct polygon ...
- if (fixHoleLinkages) CheckHoleLinkages1(outRec1, outRec2);
- } else
- {
- outRec2->isHole = outRec1->isHole;
- outRec2->FirstLeft = outRec1->FirstLeft;
- //make sure any contained holes now link to the correct polygon ...
- if (fixHoleLinkages) CheckHoleLinkages1(outRec1, outRec2);
- }
-
- //now fixup any subsequent joins that match this polygon
- for (JoinList::size_type k = i+1; k < m_Joins.size(); k++)
- {
- JoinRec* j2 = m_Joins[k];
- if (j2->poly1Idx == j->poly1Idx && PointIsVertex(j2->pt1a, p2))
- j2->poly1Idx = j->poly2Idx;
- if (j2->poly2Idx == j->poly1Idx && PointIsVertex(j2->pt2a, p2))
- j2->poly2Idx = j->poly2Idx;
- }
-
- //now cleanup redundant edges too ...
- FixupOutPolygon(*outRec1);
- FixupOutPolygon(*outRec2);
-
- if (outRec1->pts && (Orientation(outRec1, m_UseFullRange) != (Area(*outRec1, m_UseFullRange) > 0)))
- DisposeBottomPt(*outRec1);
- if (outRec2->pts && (Orientation(outRec2, m_UseFullRange) != (Area(*outRec2, m_UseFullRange) > 0)))
- DisposeBottomPt(*outRec2);
-
- } else
- {
- //joined 2 polygons together ...
-
- //make sure any holes contained by outRec2 now link to outRec1 ...
- if (fixHoleLinkages) CheckHoleLinkages2(outRec1, outRec2);
-
- //now cleanup redundant edges too ...
- FixupOutPolygon(*outRec1);
-
- if (outRec1->pts)
- {
- outRec1->isHole = !Orientation(outRec1, m_UseFullRange);
- if (outRec1->isHole && !outRec1->FirstLeft)
- outRec1->FirstLeft = outRec2->FirstLeft;
- }
-
- //delete the obsolete pointer ...
- int OKIdx = outRec1->idx;
- int ObsoleteIdx = outRec2->idx;
- outRec2->pts = 0;
- outRec2->bottomPt = 0;
- outRec2->AppendLink = outRec1;
-
- //now fixup any subsequent Joins that match this polygon
- for (JoinList::size_type k = i+1; k < m_Joins.size(); k++)
- {
- JoinRec* j2 = m_Joins[k];
- if (j2->poly1Idx == ObsoleteIdx) j2->poly1Idx = OKIdx;
- if (j2->poly2Idx == ObsoleteIdx) j2->poly2Idx = OKIdx;
- }
- }
- }
-}
-//------------------------------------------------------------------------------
-
-void ReversePolygon(Polygon& p)
-{
- std::reverse(p.begin(), p.end());
-}
-//------------------------------------------------------------------------------
-
-void ReversePolygons(Polygons& p)
-{
- for (Polygons::size_type i = 0; i < p.size(); ++i)
- ReversePolygon(p[i]);
-}
-
-//------------------------------------------------------------------------------
-// OffsetPolygon functions ...
-//------------------------------------------------------------------------------
-
-struct DoublePoint
-{
- double X;
- double Y;
- DoublePoint(double x = 0, double y = 0) : X(x), Y(y) {}
-};
-//------------------------------------------------------------------------------
-
-Polygon BuildArc(const IntPoint &pt,
- const double a1, const double a2, const double r)
-{
- long64 steps = std::max(6, int(std::sqrt(std::fabs(r)) * std::fabs(a2 - a1)));
- if (steps > 0x100000) steps = 0x100000;
- int n = (unsigned)steps;
- Polygon result(n);
- double da = (a2 - a1) / (n -1);
- double a = a1;
- for (int i = 0; i < n; ++i)
- {
- result[i].X = pt.X + Round(std::cos(a)*r);
- result[i].Y = pt.Y + Round(std::sin(a)*r);
- a += da;
- }
- return result;
-}
-//------------------------------------------------------------------------------
-
-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);
-}
-
-//------------------------------------------------------------------------------
-//------------------------------------------------------------------------------
-
-class PolyOffsetBuilder
-{
-private:
- Polygons m_p;
- Polygon* m_curr_poly;
- std::vector<DoublePoint> normals;
- double m_delta, m_RMin, m_R;
- size_t m_i, m_j, m_k;
- static const int buffLength = 128;
- JoinType m_jointype;
-
-public:
-
-PolyOffsetBuilder(const Polygons& in_polys, Polygons& out_polys,
- double delta, JoinType jointype, double MiterLimit)
-{
- //nb precondition - out_polys != ptsin_polys
- if (NEAR_ZERO(delta))
- {
- out_polys = in_polys;
- return;
- }
-
- this->m_p = in_polys;
- this->m_delta = delta;
- this->m_jointype = jointype;
- if (MiterLimit <= 1) MiterLimit = 1;
- m_RMin = 2/(MiterLimit*MiterLimit);
-
- double deltaSq = delta*delta;
- out_polys.clear();
- out_polys.resize(in_polys.size());
- for (m_i = 0; m_i < in_polys.size(); m_i++)
- {
- m_curr_poly = &out_polys[m_i];
- size_t len = in_polys[m_i].size();
- if (len > 1 && m_p[m_i][0].X == m_p[m_i][len - 1].X &&
- m_p[m_i][0].Y == m_p[m_i][len-1].Y) len--;
-
- //when 'shrinking' polygons - to minimize artefacts
- //strip those polygons that have an area < pi * delta^2 ...
- double a1 = Area(in_polys[m_i]);
- if (delta < 0) { if (a1 > 0 && a1 < deltaSq *pi) len = 0; }
- else if (a1 < 0 && -a1 < deltaSq *pi) len = 0; //holes have neg. area
-
- if (len == 0 || (len < 3 && delta <= 0))
- continue;
- else if (len == 1)
- {
- Polygon arc;
- arc = BuildArc(in_polys[m_i][len-1], 0, 2 * pi, delta);
- out_polys[m_i] = arc;
- continue;
- }
-
- //build normals ...
- normals.clear();
- normals.resize(len);
- normals[len-1] = GetUnitNormal(in_polys[m_i][len-1], in_polys[m_i][0]);
- for (m_j = 0; m_j < len -1; ++m_j)
- normals[m_j] = GetUnitNormal(in_polys[m_i][m_j], in_polys[m_i][m_j+1]);
-
- m_k = len -1;
- for (m_j = 0; m_j < len; ++m_j)
- {
- switch (jointype)
- {
- case jtMiter:
- {
- m_R = 1 + (normals[m_j].X*normals[m_k].X +
- normals[m_j].Y*normals[m_k].Y);
- if (m_R >= m_RMin) DoMiter(); else DoSquare(MiterLimit);
- break;
- }
- case jtSquare: DoSquare(); break;
- case jtRound: DoRound(); break;
- }
- m_k = m_j;
- }
- }
-
- //finally, clean up untidy corners using Clipper ...
- Clipper clpr;
- clpr.AddPolygons(out_polys, ptSubject);
- if (delta > 0)
- {
- if (!clpr.Execute(ctUnion, out_polys, pftPositive, pftPositive))
- out_polys.clear();
- }
- else
- {
- IntRect r = clpr.GetBounds();
- Polygon 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.AddPolygon(outer, ptSubject);
- if (clpr.Execute(ctUnion, out_polys, pftNegative, pftNegative))
- {
- out_polys.erase(out_polys.begin());
- ReversePolygons(out_polys);
-
- } else
- out_polys.clear();
- }
-}
-//------------------------------------------------------------------------------
-
-private:
-
-void AddPoint(const IntPoint& pt)
-{
- Polygon::size_type len = m_curr_poly->size();
- if (len == m_curr_poly->capacity())
- m_curr_poly->reserve(len + buffLength);
- m_curr_poly->push_back(pt);
-}
-//------------------------------------------------------------------------------
-
-void DoSquare(double mul = 1.0)
-{
- IntPoint pt1 = IntPoint((long64)Round(m_p[m_i][m_j].X + normals[m_k].X * m_delta),
- (long64)Round(m_p[m_i][m_j].Y + normals[m_k].Y * m_delta));
- IntPoint pt2 = IntPoint((long64)Round(m_p[m_i][m_j].X + normals[m_j].X * m_delta),
- (long64)Round(m_p[m_i][m_j].Y + normals[m_j].Y * m_delta));
- if ((normals[m_k].X * normals[m_j].Y - normals[m_j].X * normals[m_k].Y) * m_delta >= 0)
- {
- double a1 = std::atan2(normals[m_k].Y, normals[m_k].X);
- double a2 = std::atan2(-normals[m_j].Y, -normals[m_j].X);
- a1 = std::fabs(a2 - a1);
- if (a1 > pi) a1 = pi * 2 - a1;
- double dx = std::tan((pi - a1)/4) * std::fabs(m_delta * mul);
- pt1 = IntPoint((long64)(pt1.X -normals[m_k].Y * dx),
- (long64)(pt1.Y + normals[m_k].X * dx));
- AddPoint(pt1);
- pt2 = IntPoint((long64)(pt2.X + normals[m_j].Y * dx),
- (long64)(pt2.Y -normals[m_j].X * dx));
- AddPoint(pt2);
- }
- else
- {
- AddPoint(pt1);
- AddPoint(m_p[m_i][m_j]);
- AddPoint(pt2);
- }
-}
-//------------------------------------------------------------------------------
-
-void DoMiter()
-{
- if ((normals[m_k].X * normals[m_j].Y - normals[m_j].X * normals[m_k].Y) * m_delta >= 0)
- {
- double q = m_delta / m_R;
- AddPoint(IntPoint((long64)Round(m_p[m_i][m_j].X +
- (normals[m_k].X + normals[m_j].X) * q),
- (long64)Round(m_p[m_i][m_j].Y + (normals[m_k].Y + normals[m_j].Y) * q)));
- }
- else
- {
- IntPoint pt1 = IntPoint((long64)Round(m_p[m_i][m_j].X + normals[m_k].X *
- m_delta), (long64)Round(m_p[m_i][m_j].Y + normals[m_k].Y * m_delta));
- IntPoint pt2 = IntPoint((long64)Round(m_p[m_i][m_j].X + normals[m_j].X *
- m_delta), (long64)Round(m_p[m_i][m_j].Y + normals[m_j].Y * m_delta));
- AddPoint(pt1);
- AddPoint(m_p[m_i][m_j]);
- AddPoint(pt2);
- }
-}
-//------------------------------------------------------------------------------
-
-void DoRound()
-{
- IntPoint pt1 = IntPoint((long64)Round(m_p[m_i][m_j].X + normals[m_k].X * m_delta),
- (long64)Round(m_p[m_i][m_j].Y + normals[m_k].Y * m_delta));
- IntPoint pt2 = IntPoint((long64)Round(m_p[m_i][m_j].X + normals[m_j].X * m_delta),
- (long64)Round(m_p[m_i][m_j].Y + normals[m_j].Y * m_delta));
- AddPoint(pt1);
- //round off reflex angles (ie > 180 deg) unless almost flat (ie < ~10deg).
- if ((normals[m_k].X*normals[m_j].Y - normals[m_j].X*normals[m_k].Y) * m_delta >= 0)
- {
- if (normals[m_j].X * normals[m_k].X + normals[m_j].Y * normals[m_k].Y < 0.985)
- {
- double a1 = std::atan2(normals[m_k].Y, normals[m_k].X);
- double a2 = std::atan2(normals[m_j].Y, normals[m_j].X);
- if (m_delta > 0 && a2 < a1) a2 += pi *2;
- else if (m_delta < 0 && a2 > a1) a2 -= pi *2;
- Polygon arc = BuildArc(m_p[m_i][m_j], a1, a2, m_delta);
- for (Polygon::size_type m = 0; m < arc.size(); m++)
- AddPoint(arc[m]);
- }
- }
- else
- AddPoint(m_p[m_i][m_j]);
- AddPoint(pt2);
-}
-//--------------------------------------------------------------------------
-
-}; //end PolyOffsetBuilder
-
-//------------------------------------------------------------------------------
-//------------------------------------------------------------------------------
-
-void OffsetPolygons(const Polygons &in_polys, Polygons &out_polys,
- double delta, JoinType jointype, double MiterLimit)
-{
- if (&out_polys == &in_polys)
- {
- Polygons poly2(in_polys);
- PolyOffsetBuilder(poly2, out_polys, delta, jointype, MiterLimit);
- }
- else PolyOffsetBuilder(in_polys, out_polys, delta, jointype, MiterLimit);
-}
-//------------------------------------------------------------------------------
-
-void SimplifyPolygon(const Polygon &in_poly, Polygons &out_polys, PolyFillType fillType)
-{
- Clipper c;
- c.AddPolygon(in_poly, ptSubject);
- c.Execute(ctUnion, out_polys, fillType, fillType);
-}
-//------------------------------------------------------------------------------
-
-void SimplifyPolygons(const Polygons &in_polys, Polygons &out_polys, PolyFillType fillType)
-{
- Clipper c;
- c.AddPolygons(in_polys, ptSubject);
- c.Execute(ctUnion, out_polys, fillType, fillType);
-}
-//------------------------------------------------------------------------------
-
-void SimplifyPolygons(Polygons &polys, PolyFillType fillType)
-{
- SimplifyPolygons(polys, polys, fillType);
-}
-//------------------------------------------------------------------------------
-
-std::ostream& operator <<(std::ostream &s, IntPoint& p)
-{
- s << p.X << ' ' << p.Y << "\n";
- return s;
-}
-//------------------------------------------------------------------------------
-
-std::ostream& operator <<(std::ostream &s, Polygon &p)
-{
- for (Polygon::size_type i = 0; i < p.size(); i++)
- s << p[i];
- s << "\n";
- return s;
-}
-//------------------------------------------------------------------------------
-
-std::ostream& operator <<(std::ostream &s, Polygons &p)
-{
- for (Polygons::size_type i = 0; i < p.size(); i++)
- s << p[i];
- s << "\n";
- return s;
-}
-//------------------------------------------------------------------------------
-
-} //ClipperLib namespace