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/*******************************************************************************
* *
* Author : Angus Johnson *
* Version : 5.1.6 *
* Date : 23 May 2013 *
* Website : http://www.angusj.com *
* Copyright : Angus Johnson 2010-2013 *
* *
* License: *
* Use, modification & distribution is subject to Boost Software License Ver 1. *
* http://www.boost.org/LICENSE_1_0.txt *
* *
* Attributions: *
* The code in this library is an extension of Bala Vatti's clipping algorithm: *
* "A generic solution to polygon clipping" *
* Communications of the ACM, Vol 35, Issue 7 (July 1992) pp 56-63. *
* http://portal.acm.org/citation.cfm?id=129906 *
* *
* Computer graphics and geometric modeling: implementation and algorithms *
* By Max K. Agoston *
* Springer; 1 edition (January 4, 2005) *
* http://books.google.com/books?q=vatti+clipping+agoston *
* *
* See also: *
* "Polygon Offsetting by Computing Winding Numbers" *
* Paper no. DETC2005-85513 pp. 565-575 *
* ASME 2005 International Design Engineering Technical Conferences *
* and Computers and Information in Engineering Conference (IDETC/CIE2005) *
* September 24-28, 2005 , Long Beach, California, USA *
* http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf *
* *
*******************************************************************************/
/*******************************************************************************
* *
* This is a translation of the Delphi Clipper library and the naming style *
* used has retained a Delphi flavour. *
* *
*******************************************************************************/
using System;
using System.Collections.Generic;
//using System.Text; //for Int128.AsString() & StringBuilder
//using System.IO; //streamReader & StreamWriter
namespace ClipperLib
{
using Polygon = List<IntPoint>;
using Polygons = List<List<IntPoint>>;
//------------------------------------------------------------------------------
// PolyTree & PolyNode classes
//------------------------------------------------------------------------------
public class PolyTree : PolyNode
{
internal List<PolyNode> m_AllPolys = new List<PolyNode>();
~PolyTree()
{
Clear();
}
public void Clear()
{
for (int i = 0; i < m_AllPolys.Count; i++)
m_AllPolys[i] = null;
m_AllPolys.Clear();
m_Childs.Clear();
}
public PolyNode GetFirst()
{
if (m_Childs.Count > 0)
return m_Childs[0];
else
return null;
}
public int Total
{
get { return m_AllPolys.Count; }
}
}
public class PolyNode
{
internal PolyNode m_Parent;
internal Polygon m_polygon = new Polygon();
internal int m_Index;
internal List<PolyNode> m_Childs = new List<PolyNode>();
private bool IsHoleNode()
{
bool result = true;
PolyNode node = m_Parent;
while (node != null)
{
result = !result;
node = node.m_Parent;
}
return result;
}
public int ChildCount
{
get { return m_Childs.Count; }
}
public Polygon Contour
{
get { return m_polygon; }
}
internal void AddChild(PolyNode Child)
{
int cnt = m_Childs.Count;
m_Childs.Add(Child);
Child.m_Parent = this;
Child.m_Index = cnt;
}
public PolyNode GetNext()
{
if (m_Childs.Count > 0)
return m_Childs[0];
else
return GetNextSiblingUp();
}
internal PolyNode GetNextSiblingUp()
{
if (m_Parent == null)
return null;
else if (m_Index == m_Parent.m_Childs.Count - 1)
return m_Parent.GetNextSiblingUp();
else
return m_Parent.m_Childs[m_Index + 1];
}
public List<PolyNode> Childs
{
get { return m_Childs; }
}
public PolyNode Parent
{
get { return m_Parent; }
}
public bool IsHole
{
get { return IsHoleNode(); }
}
}
//------------------------------------------------------------------------------
// Int128 struct (enables safe math on signed 64bit integers)
// eg Int128 val1((Int64)9223372036854775807); //ie 2^63 -1
// Int128 val2((Int64)9223372036854775807);
// Int128 val3 = val1 * val2;
// val3.ToString => "85070591730234615847396907784232501249" (8.5e+37)
//------------------------------------------------------------------------------
internal struct Int128
{
private Int64 hi;
private UInt64 lo;
public Int128(Int64 _lo)
{
lo = (UInt64)_lo;
if (_lo < 0) hi = -1;
else hi = 0;
}
public Int128(Int64 _hi, UInt64 _lo)
{
lo = _lo;
hi = _hi;
}
public Int128(Int128 val)
{
hi = val.hi;
lo = val.lo;
}
public bool IsNegative()
{
return hi < 0;
}
public static bool operator ==(Int128 val1, Int128 val2)
{
if ((object)val1 == (object)val2) return true;
else if ((object)val1 == null || (object)val2 == null) return false;
return (val1.hi == val2.hi && val1.lo == val2.lo);
}
public static bool operator!= (Int128 val1, Int128 val2)
{
return !(val1 == val2);
}
public override bool Equals(System.Object obj)
{
if (obj == null || !(obj is Int128))
return false;
Int128 i128 = (Int128)obj;
return (i128.hi == hi && i128.lo == lo);
}
public override int GetHashCode()
{
return hi.GetHashCode() ^ lo.GetHashCode();
}
public static bool operator> (Int128 val1, Int128 val2)
{
if (val1.hi != val2.hi)
return val1.hi > val2.hi;
else
return val1.lo > val2.lo;
}
public static bool operator< (Int128 val1, Int128 val2)
{
if (val1.hi != val2.hi)
return val1.hi < val2.hi;
else
return val1.lo < val2.lo;
}
public static Int128 operator+ (Int128 lhs, Int128 rhs)
{
lhs.hi += rhs.hi;
lhs.lo += rhs.lo;
if (lhs.lo < rhs.lo) lhs.hi++;
return lhs;
}
public static Int128 operator- (Int128 lhs, Int128 rhs)
{
return lhs + -rhs;
}
public static Int128 operator -(Int128 val)
{
if (val.lo == 0)
return new Int128(-val.hi, 0);
else
return new Int128(~val.hi, ~val.lo +1);
}
//nb: Constructing two new Int128 objects every time we want to multiply longs
//is slow. So, although calling the Int128Mul method doesn't look as clean, the
//code runs significantly faster than if we'd used the * operator.
public static Int128 Int128Mul(Int64 lhs, Int64 rhs)
{
bool negate = (lhs < 0) != (rhs < 0);
if (lhs < 0) lhs = -lhs;
if (rhs < 0) rhs = -rhs;
UInt64 int1Hi = (UInt64)lhs >> 32;
UInt64 int1Lo = (UInt64)lhs & 0xFFFFFFFF;
UInt64 int2Hi = (UInt64)rhs >> 32;
UInt64 int2Lo = (UInt64)rhs & 0xFFFFFFFF;
//nb: see comments in clipper.pas
UInt64 a = int1Hi * int2Hi;
UInt64 b = int1Lo * int2Lo;
UInt64 c = int1Hi * int2Lo + int1Lo * int2Hi;
UInt64 lo;
Int64 hi;
hi = (Int64)(a + (c >> 32));
unchecked { lo = (c << 32) + b; }
if (lo < b) hi++;
Int128 result = new Int128(hi, lo);
return negate ? -result : result;
}
public static Int128 operator /(Int128 lhs, Int128 rhs)
{
if (rhs.lo == 0 && rhs.hi == 0)
throw new ClipperException("Int128: divide by zero");
bool negate = (rhs.hi < 0) != (lhs.hi < 0);
if (lhs.hi < 0) lhs = -lhs;
if (rhs.hi < 0) rhs = -rhs;
if (rhs < lhs)
{
Int128 result = new Int128(0);
Int128 cntr = new Int128(1);
while (rhs.hi >= 0 && !(rhs > lhs))
{
rhs.hi <<= 1;
if ((Int64)rhs.lo < 0) rhs.hi++;
rhs.lo <<= 1;
cntr.hi <<= 1;
if ((Int64)cntr.lo < 0) cntr.hi++;
cntr.lo <<= 1;
}
rhs.lo >>= 1;
if ((rhs.hi & 1) == 1)
rhs.lo |= 0x8000000000000000;
rhs.hi = (Int64)((UInt64)rhs.hi >> 1);
cntr.lo >>= 1;
if ((cntr.hi & 1) == 1)
cntr.lo |= 0x8000000000000000;
cntr.hi >>= 1;
while (cntr.hi != 0 || cntr.lo != 0)
{
if (!(lhs < rhs))
{
lhs -= rhs;
result.hi |= cntr.hi;
result.lo |= cntr.lo;
}
rhs.lo >>= 1;
if ((rhs.hi & 1) == 1)
rhs.lo |= 0x8000000000000000;
rhs.hi >>= 1;
cntr.lo >>= 1;
if ((cntr.hi & 1) == 1)
cntr.lo |= 0x8000000000000000;
cntr.hi >>= 1;
}
return negate ? -result : result;
}
else if (rhs == lhs)
return new Int128(1);
else
return new Int128(0);
}
public double ToDouble()
{
const double shift64 = 18446744073709551616.0; //2^64
if (hi < 0)
{
if (lo == 0)
return (double)hi * shift64;
else
return -(double)(~lo + ~hi * shift64);
}
else
return (double)(lo + hi * shift64);
}
};
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
public struct IntPoint
{
public Int64 X;
public Int64 Y;
public IntPoint(Int64 X, Int64 Y)
{
this.X = X; this.Y = Y;
}
public IntPoint(IntPoint pt)
{
this.X = pt.X; this.Y = pt.Y;
}
}
public struct IntRect
{
public Int64 left;
public Int64 top;
public Int64 right;
public Int64 bottom;
public IntRect(Int64 l, Int64 t, Int64 r, Int64 b)
{
this.left = l; this.top = t;
this.right = r; this.bottom = b;
}
}
public enum ClipType { ctIntersection, ctUnion, ctDifference, ctXor };
public enum PolyType { ptSubject, ptClip };
//By far the most widely used winding rules for polygon filling are
//EvenOdd & NonZero (GDI, GDI+, XLib, OpenGL, Cairo, AGG, Quartz, SVG, Gr32)
//Others rules include Positive, Negative and ABS_GTR_EQ_TWO (only in OpenGL)
//see http://glprogramming.com/red/chapter11.html
public enum PolyFillType { pftEvenOdd, pftNonZero, pftPositive, pftNegative };
public enum JoinType { jtSquare, jtRound, jtMiter };
public enum EndType { etClosed, etButt, etSquare, etRound};
[Flags]
internal enum EdgeSide { esLeft = 1, esRight = 2 };
[Flags]
internal enum Protects { ipNone = 0, ipLeft = 1, ipRight = 2, ipBoth = 3 };
internal enum Direction { dRightToLeft, dLeftToRight };
internal class TEdge {
public Int64 xbot;
public Int64 ybot;
public Int64 xcurr;
public Int64 ycurr;
public Int64 xtop;
public Int64 ytop;
public double dx;
public Int64 deltaX;
public Int64 deltaY;
public PolyType polyType;
public EdgeSide side;
public int windDelta; //1 or -1 depending on winding direction
public int windCnt;
public int windCnt2; //winding count of the opposite polytype
public int outIdx;
public TEdge next;
public TEdge prev;
public TEdge nextInLML;
public TEdge nextInAEL;
public TEdge prevInAEL;
public TEdge nextInSEL;
public TEdge prevInSEL;
};
internal class IntersectNode
{
public TEdge edge1;
public TEdge edge2;
public IntPoint pt;
public IntersectNode next;
};
internal class LocalMinima
{
public Int64 Y;
public TEdge leftBound;
public TEdge rightBound;
public LocalMinima next;
};
internal class Scanbeam
{
public Int64 Y;
public Scanbeam next;
};
internal class OutRec
{
public int idx;
public bool isHole;
public OutRec FirstLeft; //see comments in clipper.pas
public OutPt pts;
public OutPt bottomPt;
public PolyNode polyNode;
};
internal class OutPt
{
public int idx;
public IntPoint pt;
public OutPt next;
public OutPt prev;
};
internal class JoinRec
{
public IntPoint pt1a;
public IntPoint pt1b;
public int poly1Idx;
public IntPoint pt2a;
public IntPoint pt2b;
public int poly2Idx;
};
internal class HorzJoinRec
{
public TEdge edge;
public int savedIdx;
};
public class ClipperBase
{
protected const double horizontal = -3.4E+38;
internal const Int64 loRange = 0x3FFFFFFF;
internal const Int64 hiRange = 0x3FFFFFFFFFFFFFFFL;
internal LocalMinima m_MinimaList;
internal LocalMinima m_CurrentLM;
internal List<List<TEdge>> m_edges = new List<List<TEdge>>();
internal bool m_UseFullRange;
//------------------------------------------------------------------------------
protected static bool PointsEqual(IntPoint pt1, IntPoint pt2)
{
return ( pt1.X == pt2.X && pt1.Y == pt2.Y );
}
//------------------------------------------------------------------------------
internal bool PointIsVertex(IntPoint pt, OutPt pp)
{
OutPt pp2 = pp;
do
{
if (PointsEqual(pp2.pt, pt)) return true;
pp2 = pp2.next;
}
while (pp2 != pp);
return false;
}
//------------------------------------------------------------------------------
internal bool PointOnLineSegment(IntPoint pt,
IntPoint linePt1, IntPoint linePt2, bool UseFullInt64Range)
{
if (UseFullInt64Range)
return ((pt.X == linePt1.X) && (pt.Y == linePt1.Y)) ||
((pt.X == linePt2.X) && (pt.Y == linePt2.Y)) ||
(((pt.X > linePt1.X) == (pt.X < linePt2.X)) &&
((pt.Y > linePt1.Y) == (pt.Y < linePt2.Y)) &&
((Int128.Int128Mul((pt.X - linePt1.X), (linePt2.Y - linePt1.Y)) ==
Int128.Int128Mul((linePt2.X - linePt1.X), (pt.Y - linePt1.Y)))));
else
return ((pt.X == linePt1.X) && (pt.Y == linePt1.Y)) ||
((pt.X == linePt2.X) && (pt.Y == linePt2.Y)) ||
(((pt.X > linePt1.X) == (pt.X < linePt2.X)) &&
((pt.Y > linePt1.Y) == (pt.Y < linePt2.Y)) &&
((pt.X - linePt1.X) * (linePt2.Y - linePt1.Y) ==
(linePt2.X - linePt1.X) * (pt.Y - linePt1.Y)));
}
//------------------------------------------------------------------------------
internal bool PointOnPolygon(IntPoint pt, OutPt pp, bool UseFullInt64Range)
{
OutPt pp2 = pp;
while (true)
{
if (PointOnLineSegment(pt, pp2.pt, pp2.next.pt, UseFullInt64Range))
return true;
pp2 = pp2.next;
if (pp2 == pp) break;
}
return false;
}
//------------------------------------------------------------------------------
internal bool PointInPolygon(IntPoint pt, OutPt pp, bool UseFulllongRange)
{
OutPt pp2 = pp;
bool result = false;
if (UseFulllongRange)
{
do
{
if ((((pp2.pt.Y <= pt.Y) && (pt.Y < pp2.prev.pt.Y)) ||
((pp2.prev.pt.Y <= pt.Y) && (pt.Y < pp2.pt.Y))) &&
new Int128(pt.X - pp2.pt.X) <
Int128.Int128Mul(pp2.prev.pt.X - pp2.pt.X, pt.Y - pp2.pt.Y) /
new 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.pt.X < (pp2.prev.pt.X - pp2.pt.X) * (pt.Y - pp2.pt.Y) /
(pp2.prev.pt.Y - pp2.pt.Y))) result = !result;
pp2 = pp2.next;
}
while (pp2 != pp);
}
return result;
}
//------------------------------------------------------------------------------
internal static bool SlopesEqual(TEdge e1, TEdge e2, bool UseFullRange)
{
if (UseFullRange)
return Int128.Int128Mul(e1.deltaY, e2.deltaX) ==
Int128.Int128Mul(e1.deltaX, e2.deltaY);
else return (Int64)(e1.deltaY) * (e2.deltaX) ==
(Int64)(e1.deltaX) * (e2.deltaY);
}
//------------------------------------------------------------------------------
protected static bool SlopesEqual(IntPoint pt1, IntPoint pt2,
IntPoint pt3, bool UseFullRange)
{
if (UseFullRange)
return Int128.Int128Mul(pt1.Y - pt2.Y, pt2.X - pt3.X) ==
Int128.Int128Mul(pt1.X - pt2.X, pt2.Y - pt3.Y);
else return
(Int64)(pt1.Y - pt2.Y) * (pt2.X - pt3.X) - (Int64)(pt1.X - pt2.X) * (pt2.Y - pt3.Y) == 0;
}
//------------------------------------------------------------------------------
protected static bool SlopesEqual(IntPoint pt1, IntPoint pt2,
IntPoint pt3, IntPoint pt4, bool UseFullRange)
{
if (UseFullRange)
return Int128.Int128Mul(pt1.Y - pt2.Y, pt3.X - pt4.X) ==
Int128.Int128Mul(pt1.X - pt2.X, pt3.Y - pt4.Y);
else return
(Int64)(pt1.Y - pt2.Y) * (pt3.X - pt4.X) - (Int64)(pt1.X - pt2.X) * (pt3.Y - pt4.Y) == 0;
}
//------------------------------------------------------------------------------
internal ClipperBase() //constructor (nb: no external instantiation)
{
m_MinimaList = null;
m_CurrentLM = null;
m_UseFullRange = false;
}
//------------------------------------------------------------------------------
//destructor - commented out since I gather this impedes the GC
//~ClipperBase()
//{
// Clear();
//}
//------------------------------------------------------------------------------
public virtual void Clear()
{
DisposeLocalMinimaList();
for (int i = 0; i < m_edges.Count; ++i)
{
for (int j = 0; j < m_edges[i].Count; ++j) m_edges[i][j] = null;
m_edges[i].Clear();
}
m_edges.Clear();
m_UseFullRange = false;
}
//------------------------------------------------------------------------------
private void DisposeLocalMinimaList()
{
while( m_MinimaList != null )
{
LocalMinima tmpLm = m_MinimaList.next;
m_MinimaList = null;
m_MinimaList = tmpLm;
}
m_CurrentLM = null;
}
//------------------------------------------------------------------------------
public bool AddPolygons(Polygons ppg, PolyType polyType)
{
bool result = false;
for (int i = 0; i < ppg.Count; ++i)
if (AddPolygon(ppg[i], polyType)) result = true;
return result;
}
//------------------------------------------------------------------------------
void RangeTest(IntPoint pt, ref Int64 maxrange)
{
if (pt.X > maxrange)
{
if (pt.X > hiRange)
throw new ClipperException("Coordinate exceeds range bounds");
else maxrange = hiRange;
}
if (pt.Y > maxrange)
{
if (pt.Y > hiRange)
throw new ClipperException("Coordinate exceeds range bounds");
else maxrange = hiRange;
}
}
//------------------------------------------------------------------------------
public bool AddPolygon(Polygon pg, PolyType polyType)
{
int len = pg.Count;
if (len < 3) return false;
Int64 maxVal;
if (m_UseFullRange) maxVal = hiRange; else maxVal = loRange;
RangeTest(pg[0], ref maxVal);
Polygon p = new Polygon(len);
p.Add(new IntPoint(pg[0].X, pg[0].Y));
int j = 0;
for (int i = 1; i < len; ++i)
{
RangeTest(pg[i], ref maxVal);
if (PointsEqual(p[j], pg[i])) continue;
else if (j > 0 && SlopesEqual(p[j-1], p[j], pg[i], maxVal == hiRange))
{
if (PointsEqual(p[j-1], pg[i])) j--;
} else j++;
if (j < p.Count)
p[j] = pg[i]; else
p.Add(new IntPoint(pg[i].X, pg[i].Y));
}
if (j < 2) return false;
m_UseFullRange = maxVal == hiRange;
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 ...
List<TEdge> edges = new List<TEdge>(len);
for (int i = 0; i < len; i++) edges.Add(new TEdge());
m_edges.Add(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 (eHighest.dx == horizontal) eHighest = eHighest.next;
//finally insert each local minima ...
e = eHighest;
do {
e = AddBoundsToLML(e);
}
while( e != eHighest );
return true;
}
//------------------------------------------------------------------------------
private void InitEdge(TEdge e, TEdge eNext,
TEdge ePrev, IntPoint pt, PolyType polyType)
{
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;
}
//------------------------------------------------------------------------------
private void SetDx(TEdge e)
{
e.deltaX = (e.xtop - e.xbot);
e.deltaY = (e.ytop - e.ybot);
if (e.deltaY == 0) e.dx = horizontal;
else e.dx = (double)(e.deltaX) / (e.deltaY);
}
//---------------------------------------------------------------------------
TEdge 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 = null;
e = e.next;
for (;;)
{
if ( 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 = null;
newLm.Y = e.prev.ybot;
if ( 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 = EdgeSide.esLeft;
newLm.rightBound.side = EdgeSide.esRight;
InsertLocalMinima( newLm );
for (;;)
{
if ( e.next.ytop == e.ytop && e.next.dx != horizontal ) break;
e.nextInLML = e.next;
e = e.next;
if ( e.dx == horizontal && e.xbot != e.prev.xtop) SwapX(e);
}
return e.next;
}
//------------------------------------------------------------------------------
private void InsertLocalMinima(LocalMinima newLm)
{
if( m_MinimaList == null )
{
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 != null && ( newLm.Y < tmpLm.next.Y ) )
tmpLm = tmpLm.next;
newLm.next = tmpLm.next;
tmpLm.next = newLm;
}
}
//------------------------------------------------------------------------------
protected void PopLocalMinima()
{
if (m_CurrentLM == null) return;
m_CurrentLM = m_CurrentLM.next;
}
//------------------------------------------------------------------------------
private 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;
}
//------------------------------------------------------------------------------
protected virtual void Reset()
{
m_CurrentLM = m_MinimaList;
//reset all edges ...
LocalMinima lm = m_MinimaList;
while (lm != null)
{
TEdge e = lm.leftBound;
while (e != null)
{
e.xcurr = e.xbot;
e.ycurr = e.ybot;
e.side = EdgeSide.esLeft;
e.outIdx = -1;
e = e.nextInLML;
}
e = lm.rightBound;
while (e != null)
{
e.xcurr = e.xbot;
e.ycurr = e.ybot;
e.side = EdgeSide.esRight;
e.outIdx = -1;
e = e.nextInLML;
}
lm = lm.next;
}
return;
}
//------------------------------------------------------------------------------
public IntRect GetBounds()
{
IntRect result = new IntRect();
LocalMinima lm = m_MinimaList;
if (lm == null) return result;
result.left = lm.leftBound.xbot;
result.top = lm.leftBound.ybot;
result.right = lm.leftBound.xbot;
result.bottom = lm.leftBound.ybot;
while (lm != null)
{
if (lm.leftBound.ybot > result.bottom)
result.bottom = lm.leftBound.ybot;
TEdge e = lm.leftBound;
for (; ; )
{
TEdge bottomE = e;
while (e.nextInLML != null)
{
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;
}
} //ClipperBase
public class Clipper : ClipperBase
{
private List<OutRec> m_PolyOuts;
private ClipType m_ClipType;
private Scanbeam m_Scanbeam;
private TEdge m_ActiveEdges;
private TEdge m_SortedEdges;
private IntersectNode m_IntersectNodes;
private bool m_ExecuteLocked;
private PolyFillType m_ClipFillType;
private PolyFillType m_SubjFillType;
private List<JoinRec> m_Joins;
private List<HorzJoinRec> m_HorizJoins;
private bool m_ReverseOutput;
private bool m_ForceSimple;
private bool m_UsingPolyTree;
public Clipper()
{
m_Scanbeam = null;
m_ActiveEdges = null;
m_SortedEdges = null;
m_IntersectNodes = null;
m_ExecuteLocked = false;
m_UsingPolyTree = false;
m_PolyOuts = new List<OutRec>();
m_Joins = new List<JoinRec>();
m_HorizJoins = new List<HorzJoinRec>();
m_ReverseOutput = false;
m_ForceSimple = false;
}
//------------------------------------------------------------------------------
//destructor - commented out since I gather this impedes the GC
//~Clipper() //destructor
//{
// Clear();
// DisposeScanbeamList();
//}
//------------------------------------------------------------------------------
public override void Clear()
{
if (m_edges.Count == 0) return; //avoids problems with ClipperBase destructor
DisposeAllPolyPts();
base.Clear();
}
//------------------------------------------------------------------------------
void DisposeScanbeamList()
{
while ( m_Scanbeam != null ) {
Scanbeam sb2 = m_Scanbeam.next;
m_Scanbeam = null;
m_Scanbeam = sb2;
}
}
//------------------------------------------------------------------------------
protected override void Reset()
{
base.Reset();
m_Scanbeam = null;
m_ActiveEdges = null;
m_SortedEdges = null;
DisposeAllPolyPts();
LocalMinima lm = m_MinimaList;
while (lm != null)
{
InsertScanbeam(lm.Y);
lm = lm.next;
}
}
//------------------------------------------------------------------------------
public bool ReverseSolution
{
get { return m_ReverseOutput; }
set { m_ReverseOutput = value; }
}
//------------------------------------------------------------------------------
public bool ForceSimple
{
get { return m_ForceSimple; }
set { m_ForceSimple = value; }
}
//------------------------------------------------------------------------------
private void InsertScanbeam(Int64 Y)
{
if( m_Scanbeam == null )
{
m_Scanbeam = new Scanbeam();
m_Scanbeam.next = null;
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 != null && ( 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;
}
}
//------------------------------------------------------------------------------
public bool Execute(ClipType clipType, Polygons solution,
PolyFillType subjFillType, PolyFillType clipFillType)
{
if (m_ExecuteLocked) return false;
m_ExecuteLocked = true;
solution.Clear();
m_SubjFillType = subjFillType;
m_ClipFillType = clipFillType;
m_ClipType = clipType;
m_UsingPolyTree = false;
bool succeeded = ExecuteInternal();
//build the return polygons ...
if (succeeded) BuildResult(solution);
m_ExecuteLocked = false;
return succeeded;
}
//------------------------------------------------------------------------------
public bool Execute(ClipType clipType, PolyTree polytree,
PolyFillType subjFillType, PolyFillType clipFillType)
{
if (m_ExecuteLocked) return false;
m_ExecuteLocked = true;
m_SubjFillType = subjFillType;
m_ClipFillType = clipFillType;
m_ClipType = clipType;
m_UsingPolyTree = true;
bool succeeded = ExecuteInternal();
//build the return polygons ...
if (succeeded) BuildResult2(polytree);
m_ExecuteLocked = false;
return succeeded;
}
//------------------------------------------------------------------------------
public bool Execute(ClipType clipType, Polygons solution)
{
return Execute(clipType, solution,
PolyFillType.pftEvenOdd, PolyFillType.pftEvenOdd);
}
//------------------------------------------------------------------------------
public bool Execute(ClipType clipType, PolyTree polytree)
{
return Execute(clipType, polytree,
PolyFillType.pftEvenOdd, PolyFillType.pftEvenOdd);
}
//------------------------------------------------------------------------------
internal void FixHoleLinkage(OutRec outRec)
{
//skip if an outermost polygon or
//already already points to the correct FirstLeft ...
if (outRec.FirstLeft == null ||
(outRec.isHole != outRec.FirstLeft.isHole &&
outRec.FirstLeft.pts != null)) return;
OutRec orfl = outRec.FirstLeft;
while (orfl != null && ((orfl.isHole == outRec.isHole) || orfl.pts == null))
orfl = orfl.FirstLeft;
outRec.FirstLeft = orfl;
}
//------------------------------------------------------------------------------
private bool ExecuteInternal()
{
bool succeeded;
try
{
Reset();
if (m_CurrentLM == null) return true;
Int64 botY = PopScanbeam();
do
{
InsertLocalMinimaIntoAEL(botY);
m_HorizJoins.Clear();
ProcessHorizontals();
Int64 topY = PopScanbeam();
succeeded = ProcessIntersections(botY, topY);
if (!succeeded) break;
ProcessEdgesAtTopOfScanbeam(topY);
botY = topY;
} while (m_Scanbeam != null || m_CurrentLM != null);
}
catch { succeeded = false; }
if (succeeded)
{
//tidy up output polygons and fix orientations where necessary ...
for (int i = 0; i < m_PolyOuts.Count; i++)
{
OutRec outRec = m_PolyOuts[i];
if (outRec.pts == null) continue;
FixupOutPolygon(outRec);
if (outRec.pts == null) continue;
if ((outRec.isHole ^ m_ReverseOutput) == (Area(outRec, m_UseFullRange) > 0))
ReversePolyPtLinks(outRec.pts);
}
JoinCommonEdges();
if (m_ForceSimple) DoSimplePolygons();
}
m_Joins.Clear();
m_HorizJoins.Clear();
return succeeded;
}
//------------------------------------------------------------------------------
private Int64 PopScanbeam()
{
Int64 Y = m_Scanbeam.Y;
Scanbeam sb2 = m_Scanbeam;
m_Scanbeam = m_Scanbeam.next;
sb2 = null;
return Y;
}
//------------------------------------------------------------------------------
private void DisposeAllPolyPts(){
for (int i = 0; i < m_PolyOuts.Count; ++i) DisposeOutRec(i);
m_PolyOuts.Clear();
}
//------------------------------------------------------------------------------
void DisposeOutRec(int index)
{
OutRec outRec = m_PolyOuts[index];
if (outRec.pts != null) DisposeOutPts(outRec.pts);
outRec = null;
m_PolyOuts[index] = null;
}
//------------------------------------------------------------------------------
private void DisposeOutPts(OutPt pp)
{
if (pp == null) return;
OutPt tmpPp = null;
pp.prev.next = null;
while (pp != null)
{
tmpPp = pp;
pp = pp.next;
tmpPp = null;
}
}
//------------------------------------------------------------------------------
private void 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 = new IntPoint(e1.xcurr, e1.ycurr);
jr.pt1b = new IntPoint(e1.xtop, e1.ytop);
if (e2OutIdx >= 0)
jr.poly2Idx = e2OutIdx; else
jr.poly2Idx = e2.outIdx;
jr.pt2a = new IntPoint(e2.xcurr, e2.ycurr);
jr.pt2b = new IntPoint(e2.xtop, e2.ytop);
m_Joins.Add(jr);
}
//------------------------------------------------------------------------------
private void AddHorzJoin(TEdge e, int idx)
{
HorzJoinRec hj = new HorzJoinRec();
hj.edge = e;
hj.savedIdx = idx;
m_HorizJoins.Add(hj);
}
//------------------------------------------------------------------------------
private void InsertLocalMinimaIntoAEL(Int64 botY)
{
while( m_CurrentLM != null && ( 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( 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, new IntPoint(lb.xcurr, m_CurrentLM.Y));
//if any output polygons share an edge, they'll need joining later ...
if (rb.outIdx >= 0 && rb.dx == horizontal)
{
for (int i = 0; i < m_HorizJoins.Count; i++)
{
IntPoint pt = new IntPoint(), pt2 = new IntPoint(); //used as dummy params.
HorzJoinRec hj = m_HorizJoins[i];
//if horizontals rb and hj.edge overlap, flag for joining later ...
if (GetOverlapSegment(new IntPoint(hj.edge.xbot, hj.edge.ybot),
new IntPoint(hj.edge.xtop, hj.edge.ytop),
new IntPoint(rb.xbot, rb.ybot),
new IntPoint(rb.xtop, rb.ytop),
ref pt, ref pt2))
AddJoin(hj.edge, rb, hj.savedIdx, -1);
}
}
if( lb.nextInAEL != rb )
{
if (rb.outIdx >= 0 && rb.prevInAEL.outIdx >= 0 &&
SlopesEqual(rb.prevInAEL, rb, m_UseFullRange))
AddJoin(rb, rb.prevInAEL, -1, -1);
TEdge e = lb.nextInAEL;
IntPoint pt = new IntPoint(lb.xcurr, lb.ycurr);
while( e != rb )
{
if(e == null)
throw new 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 , Protects.ipNone); //order important here
e = e.nextInAEL;
}
}
PopLocalMinima();
}
}
//------------------------------------------------------------------------------
private void InsertEdgeIntoAEL(TEdge edge)
{
edge.prevInAEL = null;
edge.nextInAEL = null;
if (m_ActiveEdges == null)
{
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 != null && !E2InsertsBeforeE1(e.nextInAEL, edge))
e = e.nextInAEL;
edge.nextInAEL = e.nextInAEL;
if (e.nextInAEL != null) e.nextInAEL.prevInAEL = edge;
edge.prevInAEL = e;
e.nextInAEL = edge;
}
}
//----------------------------------------------------------------------
private bool E2InsertsBeforeE1(TEdge e1, TEdge e2)
{
if (e2.xcurr == e1.xcurr)
{
if (e2.ytop > e1.ytop)
return e2.xtop < TopX(e1, e2.ytop);
else return e1.xtop > TopX(e2, e1.ytop);
}
else return e2.xcurr < e1.xcurr;
}
//------------------------------------------------------------------------------
private bool IsEvenOddFillType(TEdge edge)
{
if (edge.polyType == PolyType.ptSubject)
return m_SubjFillType == PolyFillType.pftEvenOdd;
else
return m_ClipFillType == PolyFillType.pftEvenOdd;
}
//------------------------------------------------------------------------------
private bool IsEvenOddAltFillType(TEdge edge)
{
if (edge.polyType == PolyType.ptSubject)
return m_ClipFillType == PolyFillType.pftEvenOdd;
else
return m_SubjFillType == PolyFillType.pftEvenOdd;
}
//------------------------------------------------------------------------------
private bool IsContributing(TEdge edge)
{
PolyFillType pft, pft2;
if (edge.polyType == PolyType.ptSubject)
{
pft = m_SubjFillType;
pft2 = m_ClipFillType;
}
else
{
pft = m_ClipFillType;
pft2 = m_SubjFillType;
}
switch (pft)
{
case PolyFillType.pftEvenOdd:
case PolyFillType.pftNonZero:
if (Math.Abs(edge.windCnt) != 1) return false;
break;
case PolyFillType.pftPositive:
if (edge.windCnt != 1) return false;
break;
default: //PolyFillType.pftNegative
if (edge.windCnt != -1) return false;
break;
}
switch (m_ClipType)
{
case ClipType.ctIntersection:
switch (pft2)
{
case PolyFillType.pftEvenOdd:
case PolyFillType.pftNonZero:
return (edge.windCnt2 != 0);
case PolyFillType.pftPositive:
return (edge.windCnt2 > 0);
default:
return (edge.windCnt2 < 0);
}
case ClipType.ctUnion:
switch (pft2)
{
case PolyFillType.pftEvenOdd:
case PolyFillType.pftNonZero:
return (edge.windCnt2 == 0);
case PolyFillType.pftPositive:
return (edge.windCnt2 <= 0);
default:
return (edge.windCnt2 >= 0);
}
case ClipType.ctDifference:
if (edge.polyType == PolyType.ptSubject)
switch (pft2)
{
case PolyFillType.pftEvenOdd:
case PolyFillType.pftNonZero:
return (edge.windCnt2 == 0);
case PolyFillType.pftPositive:
return (edge.windCnt2 <= 0);
default:
return (edge.windCnt2 >= 0);
}
else
switch (pft2)
{
case PolyFillType.pftEvenOdd:
case PolyFillType.pftNonZero:
return (edge.windCnt2 != 0);
case PolyFillType.pftPositive:
return (edge.windCnt2 > 0);
default:
return (edge.windCnt2 < 0);
}
}
return true;
}
//------------------------------------------------------------------------------
private void SetWindingCount(TEdge edge)
{
TEdge e = edge.prevInAEL;
//find the edge of the same polytype that immediately preceeds 'edge' in AEL
while (e != null && e.polyType != edge.polyType)
e = e.prevInAEL;
if (e == null)
{
edge.windCnt = edge.windDelta;
edge.windCnt2 = 0;
e = m_ActiveEdges; //ie get ready to calc windCnt2
}
else if (IsEvenOddFillType(edge))
{
//even-odd filling ...
edge.windCnt = 1;
edge.windCnt2 = e.windCnt2;
e = e.nextInAEL; //ie get ready to calc windCnt2
}
else
{
//nonZero filling ...
if (e.windCnt * e.windDelta < 0)
{
if (Math.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 (Math.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))
{
//even-odd filling ...
while (e != edge)
{
edge.windCnt2 = (edge.windCnt2 == 0) ? 1 : 0;
e = e.nextInAEL;
}
}
else
{
//nonZero filling ...
while (e != edge)
{
edge.windCnt2 += e.windDelta;
e = e.nextInAEL;
}
}
}
//------------------------------------------------------------------------------
private void 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 == null)
{
m_SortedEdges = edge;
edge.prevInSEL = null;
edge.nextInSEL = null;
}
else
{
edge.nextInSEL = m_SortedEdges;
edge.prevInSEL = null;
m_SortedEdges.prevInSEL = edge;
m_SortedEdges = edge;
}
}
//------------------------------------------------------------------------------
private void CopyAELToSEL()
{
TEdge e = m_ActiveEdges;
m_SortedEdges = e;
while (e != null)
{
e.prevInSEL = e.prevInAEL;
e.nextInSEL = e.nextInAEL;
e = e.nextInAEL;
}
}
//------------------------------------------------------------------------------
private void SwapPositionsInAEL(TEdge edge1, TEdge edge2)
{
if (edge1.nextInAEL == edge2)
{
TEdge next = edge2.nextInAEL;
if (next != null)
next.prevInAEL = edge1;
TEdge prev = edge1.prevInAEL;
if (prev != null)
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 != null)
next.prevInAEL = edge2;
TEdge prev = edge2.prevInAEL;
if (prev != null)
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 != null)
edge1.nextInAEL.prevInAEL = edge1;
edge1.prevInAEL = edge2.prevInAEL;
if (edge1.prevInAEL != null)
edge1.prevInAEL.nextInAEL = edge1;
edge2.nextInAEL = next;
if (edge2.nextInAEL != null)
edge2.nextInAEL.prevInAEL = edge2;
edge2.prevInAEL = prev;
if (edge2.prevInAEL != null)
edge2.prevInAEL.nextInAEL = edge2;
}
if (edge1.prevInAEL == null)
m_ActiveEdges = edge1;
else if (edge2.prevInAEL == null)
m_ActiveEdges = edge2;
}
//------------------------------------------------------------------------------
private void SwapPositionsInSEL(TEdge edge1, TEdge edge2)
{
if (edge1.nextInSEL == null && edge1.prevInSEL == null)
return;
if (edge2.nextInSEL == null && edge2.prevInSEL == null)
return;
if (edge1.nextInSEL == edge2)
{
TEdge next = edge2.nextInSEL;
if (next != null)
next.prevInSEL = edge1;
TEdge prev = edge1.prevInSEL;
if (prev != null)
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 != null)
next.prevInSEL = edge2;
TEdge prev = edge2.prevInSEL;
if (prev != null)
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 != null)
edge1.nextInSEL.prevInSEL = edge1;
edge1.prevInSEL = edge2.prevInSEL;
if (edge1.prevInSEL != null)
edge1.prevInSEL.nextInSEL = edge1;
edge2.nextInSEL = next;
if (edge2.nextInSEL != null)
edge2.nextInSEL.prevInSEL = edge2;
edge2.prevInSEL = prev;
if (edge2.prevInSEL != null)
edge2.prevInSEL.nextInSEL = edge2;
}
if (edge1.prevInSEL == null)
m_SortedEdges = edge1;
else if (edge2.prevInSEL == null)
m_SortedEdges = edge2;
}
//------------------------------------------------------------------------------
private void AddLocalMaxPoly(TEdge e1, TEdge e2, 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);
}
//------------------------------------------------------------------------------
private void AddLocalMinPoly(TEdge e1, TEdge e2, IntPoint pt)
{
TEdge e, prevE;
if (e2.dx == horizontal || (e1.dx > e2.dx))
{
AddOutPt(e1, pt);
e2.outIdx = e1.outIdx;
e1.side = EdgeSide.esLeft;
e2.side = EdgeSide.esRight;
e = e1;
if (e.prevInAEL == e2)
prevE = e2.prevInAEL;
else
prevE = e.prevInAEL;
}
else
{
AddOutPt(e2, pt);
e1.outIdx = e2.outIdx;
e1.side = EdgeSide.esRight;
e2.side = EdgeSide.esLeft;
e = e2;
if (e.prevInAEL == e1)
prevE = e1.prevInAEL;
else
prevE = e.prevInAEL;
}
if (prevE != null && prevE.outIdx >= 0 &&
(TopX(prevE, pt.Y) == TopX(e, pt.Y)) &&
SlopesEqual(e, prevE, m_UseFullRange))
AddJoin(e, prevE, -1, -1);
}
//------------------------------------------------------------------------------
private OutRec CreateOutRec()
{
OutRec result = new OutRec();
result.idx = -1;
result.isHole = false;
result.FirstLeft = null;
result.pts = null;
result.bottomPt = null;
result.polyNode = null;
m_PolyOuts.Add(result);
result.idx = m_PolyOuts.Count - 1;
return result;
}
//------------------------------------------------------------------------------
private void AddOutPt(TEdge e, IntPoint pt)
{
bool ToFront = (e.side == EdgeSide.esLeft);
if( e.outIdx < 0 )
{
OutRec outRec = CreateOutRec();
e.outIdx = outRec.idx;
OutPt op = new OutPt();
outRec.pts = 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, op2;
if (ToFront && PointsEqual(pt, op.pt) ||
(!ToFront && PointsEqual(pt, op.prev.pt))) return;
op2 = new OutPt();
op2.pt = pt;
op2.idx = outRec.idx;
op2.next = op;
op2.prev = op.prev;
op2.prev.next = op2;
op.prev = op2;
if (ToFront) outRec.pts = op2;
}
}
//------------------------------------------------------------------------------
internal void SwapPoints(ref IntPoint pt1, ref IntPoint pt2)
{
IntPoint tmp = pt1;
pt1 = pt2;
pt2 = tmp;
}
//------------------------------------------------------------------------------
private bool GetOverlapSegment(IntPoint pt1a, IntPoint pt1b, IntPoint pt2a,
IntPoint pt2b, ref IntPoint pt1, ref IntPoint pt2)
{
//precondition: segments are colinear.
if (Math.Abs(pt1a.X - pt1b.X) > Math.Abs(pt1a.Y - pt1b.Y))
{
if (pt1a.X > pt1b.X) SwapPoints(ref pt1a, ref pt1b);
if (pt2a.X > pt2b.X) SwapPoints(ref pt2a, ref 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(ref pt1a, ref pt1b);
if (pt2a.Y < pt2b.Y) SwapPoints(ref pt2a, ref 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;
}
}
//------------------------------------------------------------------------------
private bool FindSegment(ref OutPt pp, bool UseFullInt64Range,
ref IntPoint pt1, ref IntPoint pt2)
{
if (pp == null) return false;
OutPt pp2 = pp;
IntPoint pt1a = new IntPoint(pt1);
IntPoint pt2a = new IntPoint(pt2);
do
{
if (SlopesEqual(pt1a, pt2a, pp.pt, pp.prev.pt, UseFullInt64Range) &&
SlopesEqual(pt1a, pt2a, pp.pt, UseFullInt64Range) &&
GetOverlapSegment(pt1a, pt2a, pp.pt, pp.prev.pt, ref pt1, ref pt2))
return true;
pp = pp.next;
}
while (pp != pp2);
return false;
}
//------------------------------------------------------------------------------
internal bool Pt3IsBetweenPt1AndPt2(IntPoint pt1, IntPoint pt2, 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);
}
//------------------------------------------------------------------------------
private OutPt InsertPolyPtBetween(OutPt p1, OutPt p2, IntPoint pt)
{
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;
}
//------------------------------------------------------------------------------
private void SetHoleState(TEdge e, OutRec outRec)
{
bool isHole = false;
TEdge e2 = e.prevInAEL;
while (e2 != null)
{
if (e2.outIdx >= 0)
{
isHole = !isHole;
if (outRec.FirstLeft == null)
outRec.FirstLeft = m_PolyOuts[e2.outIdx];
}
e2 = e2.prevInAEL;
}
if (isHole) outRec.isHole = true;
}
//------------------------------------------------------------------------------
private double GetDx(IntPoint pt1, IntPoint pt2)
{
if (pt1.Y == pt2.Y) return horizontal;
else return (double)(pt2.X - pt1.X) / (pt2.Y - pt1.Y);
}
//---------------------------------------------------------------------------
private bool FirstIsBottomPt(OutPt btmPt1, OutPt btmPt2)
{
OutPt p = btmPt1.prev;
while (PointsEqual(p.pt, btmPt1.pt) && (p != btmPt1)) p = p.prev;
double dx1p = Math.Abs(GetDx(btmPt1.pt, p.pt));
p = btmPt1.next;
while (PointsEqual(p.pt, btmPt1.pt) && (p != btmPt1)) p = p.next;
double dx1n = Math.Abs(GetDx(btmPt1.pt, p.pt));
p = btmPt2.prev;
while (PointsEqual(p.pt, btmPt2.pt) && (p != btmPt2)) p = p.prev;
double dx2p = Math.Abs(GetDx(btmPt2.pt, p.pt));
p = btmPt2.next;
while (PointsEqual(p.pt, btmPt2.pt) && (p != btmPt2)) p = p.next;
double dx2n = Math.Abs(GetDx(btmPt2.pt, p.pt));
return (dx1p >= dx2p && dx1p >= dx2n) || (dx1n >= dx2p && dx1n >= dx2n);
}
//------------------------------------------------------------------------------
private OutPt GetBottomPt(OutPt pp)
{
OutPt dups = null;
OutPt p = pp.next;
while (p != pp)
{
if (p.pt.Y > pp.pt.Y)
{
pp = p;
dups = null;
}
else if (p.pt.Y == pp.pt.Y && p.pt.X <= pp.pt.X)
{
if (p.pt.X < pp.pt.X)
{
dups = null;
pp = p;
} else
{
if (p.next != pp && p.prev != pp) dups = p;
}
}
p = p.next;
}
if (dups != null)
{
//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;
}
//------------------------------------------------------------------------------
private OutRec GetLowermostRec(OutRec outRec1, OutRec outRec2)
{
//work out which polygon fragment has the correct hole state ...
if (outRec1.bottomPt == null)
outRec1.bottomPt = GetBottomPt(outRec1.pts);
if (outRec2.bottomPt == null)
outRec2.bottomPt = GetBottomPt(outRec2.pts);
OutPt bPt1 = outRec1.bottomPt;
OutPt bPt2 = outRec2.bottomPt;
if (bPt1.pt.Y > bPt2.pt.Y) return outRec1;
else if (bPt1.pt.Y < bPt2.pt.Y) return outRec2;
else if (bPt1.pt.X < bPt2.pt.X) return outRec1;
else if (bPt1.pt.X > bPt2.pt.X) return outRec2;
else if (bPt1.next == bPt1) return outRec2;
else if (bPt2.next == bPt2) return outRec1;
else if (FirstIsBottomPt(bPt1, bPt2)) return outRec1;
else return outRec2;
}
//------------------------------------------------------------------------------
bool Param1RightOfParam2(OutRec outRec1, OutRec outRec2)
{
do
{
outRec1 = outRec1.FirstLeft;
if (outRec1 == outRec2) return true;
} while (outRec1 != null);
return false;
}
//------------------------------------------------------------------------------
private OutRec GetOutRec(int idx)
{
OutRec outrec = m_PolyOuts[idx];
while (outrec != m_PolyOuts[outrec.idx])
outrec = m_PolyOuts[outrec.idx];
return outrec;
}
//------------------------------------------------------------------------------
private void 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 == EdgeSide.esLeft )
{
if (e2.side == EdgeSide.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 = EdgeSide.esLeft;
} else
{
if (e2.side == EdgeSide.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 = EdgeSide.esRight;
}
outRec1.bottomPt = null;
if (holeStateRec == outRec2)
{
if (outRec2.FirstLeft != outRec1)
outRec1.FirstLeft = outRec2.FirstLeft;
outRec1.isHole = outRec2.isHole;
}
outRec2.pts = null;
outRec2.bottomPt = null;
outRec2.FirstLeft = 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 != null )
{
if( e.outIdx == ObsoleteIdx )
{
e.outIdx = OKIdx;
e.side = side;
break;
}
e = e.nextInAEL;
}
outRec2.idx = outRec1.idx;
}
//------------------------------------------------------------------------------
private void ReversePolyPtLinks(OutPt pp)
{
if (pp == null) return;
OutPt pp1;
OutPt pp2;
pp1 = pp;
do
{
pp2 = pp1.next;
pp1.next = pp1.prev;
pp1.prev = pp2;
pp1 = pp2;
} while (pp1 != pp);
}
//------------------------------------------------------------------------------
private static void SwapSides(TEdge edge1, TEdge edge2)
{
EdgeSide side = edge1.side;
edge1.side = edge2.side;
edge2.side = side;
}
//------------------------------------------------------------------------------
private static void SwapPolyIndexes(TEdge edge1, TEdge edge2)
{
int outIdx = edge1.outIdx;
edge1.outIdx = edge2.outIdx;
edge2.outIdx = outIdx;
}
//------------------------------------------------------------------------------
private void IntersectEdges(TEdge e1, TEdge e2, IntPoint pt, Protects 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 = (Protects.ipLeft & protects) == 0 && e1.nextInLML == null &&
e1.xtop == pt.X && e1.ytop == pt.Y;
bool e2stops = (Protects.ipRight & protects) == 0 && e2.nextInLML == null &&
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 == PolyType.ptSubject)
{
e1FillType = m_SubjFillType;
e1FillType2 = m_ClipFillType;
}
else
{
e1FillType = m_ClipFillType;
e1FillType2 = m_SubjFillType;
}
if (e2.polyType == PolyType.ptSubject)
{
e2FillType = m_SubjFillType;
e2FillType2 = m_ClipFillType;
}
else
{
e2FillType = m_ClipFillType;
e2FillType2 = m_SubjFillType;
}
int e1Wc, e2Wc;
switch (e1FillType)
{
case PolyFillType.pftPositive: e1Wc = e1.windCnt; break;
case PolyFillType.pftNegative: e1Wc = -e1.windCnt; break;
default: e1Wc = Math.Abs(e1.windCnt); break;
}
switch (e2FillType)
{
case PolyFillType.pftPositive: e2Wc = e2.windCnt; break;
case PolyFillType.pftNegative: e2Wc = -e2.windCnt; break;
default: e2Wc = Math.Abs(e2.windCnt); break;
}
if (e1Contributing && e2contributing)
{
if ( e1stops || e2stops ||
(e1Wc != 0 && e1Wc != 1) || (e2Wc != 0 && e2Wc != 1) ||
(e1.polyType != e2.polyType && m_ClipType != ClipType.ctXor))
AddLocalMaxPoly(e1, e2, pt);
else
{
AddOutPt(e1, pt);
AddOutPt(e2, pt);
SwapSides(e1, e2);
SwapPolyIndexes(e1, e2);
}
}
else if (e1Contributing)
{
if (e2Wc == 0 || e2Wc == 1)
{
AddOutPt(e1, pt);
SwapSides(e1, e2);
SwapPolyIndexes(e1, e2);
}
}
else if (e2contributing)
{
if (e1Wc == 0 || e1Wc == 1)
{
AddOutPt(e2, pt);
SwapSides(e1, e2);
SwapPolyIndexes(e1, e2);
}
}
else if ( (e1Wc == 0 || e1Wc == 1) &&
(e2Wc == 0 || e2Wc == 1) && !e1stops && !e2stops )
{
//neither edge is currently contributing ...
Int64 e1Wc2, e2Wc2;
switch (e1FillType2)
{
case PolyFillType.pftPositive: e1Wc2 = e1.windCnt2; break;
case PolyFillType.pftNegative: e1Wc2 = -e1.windCnt2; break;
default: e1Wc2 = Math.Abs(e1.windCnt2); break;
}
switch (e2FillType2)
{
case PolyFillType.pftPositive: e2Wc2 = e2.windCnt2; break;
case PolyFillType.pftNegative: e2Wc2 = -e2.windCnt2; break;
default: e2Wc2 = Math.Abs(e2.windCnt2); break;
}
if (e1.polyType != e2.polyType)
AddLocalMinPoly(e1, e2, pt);
else if (e1Wc == 1 && e2Wc == 1)
switch (m_ClipType)
{
case ClipType.ctIntersection:
if (e1Wc2 > 0 && e2Wc2 > 0)
AddLocalMinPoly(e1, e2, pt);
break;
case ClipType.ctUnion:
if (e1Wc2 <= 0 && e2Wc2 <= 0)
AddLocalMinPoly(e1, e2, pt);
break;
case ClipType.ctDifference:
if (((e1.polyType == PolyType.ptClip) && (e1Wc2 > 0) && (e2Wc2 > 0)) ||
((e1.polyType == PolyType.ptSubject) && (e1Wc2 <= 0) && (e2Wc2 <= 0)))
AddLocalMinPoly(e1, e2, pt);
break;
case ClipType.ctXor:
AddLocalMinPoly(e1, e2, pt);
break;
}
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);
}
//------------------------------------------------------------------------------
private void DeleteFromAEL(TEdge e)
{
TEdge AelPrev = e.prevInAEL;
TEdge AelNext = e.nextInAEL;
if (AelPrev == null && AelNext == null && (e != m_ActiveEdges))
return; //already deleted
if (AelPrev != null)
AelPrev.nextInAEL = AelNext;
else m_ActiveEdges = AelNext;
if (AelNext != null)
AelNext.prevInAEL = AelPrev;
e.nextInAEL = null;
e.prevInAEL = null;
}
//------------------------------------------------------------------------------
private void DeleteFromSEL(TEdge e)
{
TEdge SelPrev = e.prevInSEL;
TEdge SelNext = e.nextInSEL;
if (SelPrev == null && SelNext == null && (e != m_SortedEdges))
return; //already deleted
if (SelPrev != null)
SelPrev.nextInSEL = SelNext;
else m_SortedEdges = SelNext;
if (SelNext != null)
SelNext.prevInSEL = SelPrev;
e.nextInSEL = null;
e.prevInSEL = null;
}
//------------------------------------------------------------------------------
private void UpdateEdgeIntoAEL(ref TEdge e)
{
if (e.nextInLML == null)
throw new ClipperException("UpdateEdgeIntoAEL: invalid call");
TEdge AelPrev = e.prevInAEL;
TEdge AelNext = e.nextInAEL;
e.nextInLML.outIdx = e.outIdx;
if (AelPrev != null)
AelPrev.nextInAEL = e.nextInLML;
else m_ActiveEdges = e.nextInLML;
if (AelNext != null)
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 (e.dx != horizontal) InsertScanbeam(e.ytop);
}
//------------------------------------------------------------------------------
private void ProcessHorizontals()
{
TEdge horzEdge = m_SortedEdges;
while (horzEdge != null)
{
DeleteFromSEL(horzEdge);
ProcessHorizontal(horzEdge);
horzEdge = m_SortedEdges;
}
}
//------------------------------------------------------------------------------
private void ProcessHorizontal(TEdge horzEdge)
{
Direction Direction;
Int64 horzLeft, horzRight;
if (horzEdge.xcurr < horzEdge.xtop)
{
horzLeft = horzEdge.xcurr;
horzRight = horzEdge.xtop;
Direction = Direction.dLeftToRight;
}
else
{
horzLeft = horzEdge.xtop;
horzRight = horzEdge.xcurr;
Direction = Direction.dRightToLeft;
}
TEdge eMaxPair;
if (horzEdge.nextInLML != null)
eMaxPair = null;
else
eMaxPair = GetMaximaPair(horzEdge);
TEdge e = GetNextInAEL(horzEdge, Direction);
while (e != null)
{
if (e.xcurr == horzEdge.xtop && eMaxPair == null)
{
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, -1);
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;
}
TEdge eNext = GetNextInAEL(e, Direction);
if (eMaxPair != null ||
((Direction == Direction.dLeftToRight) && (e.xcurr < horzRight)) ||
((Direction == Direction.dRightToLeft) && (e.xcurr > horzLeft)))
{
//so far we're still in range of the horizontal edge
if (e == eMaxPair)
{
//horzEdge is evidently a maxima horizontal and we've arrived at its end.
if (Direction == Direction.dLeftToRight)
IntersectEdges(horzEdge, e, new IntPoint(e.xcurr, horzEdge.ycurr), 0);
else
IntersectEdges(e, horzEdge, new IntPoint(e.xcurr, horzEdge.ycurr), 0);
if (eMaxPair.outIdx >= 0) throw new ClipperException("ProcessHorizontal error");
return;
}
else if (e.dx == horizontal && !IsMinima(e) && !(e.xcurr > e.xtop))
{
if (Direction == Direction.dLeftToRight)
IntersectEdges(horzEdge, e, new IntPoint(e.xcurr, horzEdge.ycurr),
(IsTopHorz(horzEdge, e.xcurr)) ? Protects.ipLeft : Protects.ipBoth);
else
IntersectEdges(e, horzEdge, new IntPoint(e.xcurr, horzEdge.ycurr),
(IsTopHorz(horzEdge, e.xcurr)) ? Protects.ipRight : Protects.ipBoth);
}
else if (Direction == Direction.dLeftToRight)
{
IntersectEdges(horzEdge, e, new IntPoint(e.xcurr, horzEdge.ycurr),
(IsTopHorz(horzEdge, e.xcurr)) ? Protects.ipLeft : Protects.ipBoth);
}
else
{
IntersectEdges(e, horzEdge, new IntPoint(e.xcurr, horzEdge.ycurr),
(IsTopHorz(horzEdge, e.xcurr)) ? Protects.ipRight : Protects.ipBoth);
}
SwapPositionsInAEL(horzEdge, e);
}
else if ( (Direction == Direction.dLeftToRight && e.xcurr >= horzRight) ||
(Direction == Direction.dRightToLeft && e.xcurr <= horzLeft) ) break;
e = eNext;
} //end while ( e )
if (horzEdge.nextInLML != null)
{
if (horzEdge.outIdx >= 0)
AddOutPt(horzEdge, new IntPoint(horzEdge.xtop, horzEdge.ytop));
UpdateEdgeIntoAEL(ref horzEdge);
}
else
{
if (horzEdge.outIdx >= 0)
IntersectEdges(horzEdge, eMaxPair,
new IntPoint(horzEdge.xtop, horzEdge.ycurr), Protects.ipBoth);
DeleteFromAEL(eMaxPair);
DeleteFromAEL(horzEdge);
}
}
//------------------------------------------------------------------------------
private bool IsTopHorz(TEdge horzEdge, double XPos)
{
TEdge e = m_SortedEdges;
while (e != null)
{
if ((XPos >= Math.Min(e.xcurr, e.xtop)) && (XPos <= Math.Max(e.xcurr, e.xtop)))
return false;
e = e.nextInSEL;
}
return true;
}
//------------------------------------------------------------------------------
private TEdge GetNextInAEL(TEdge e, Direction Direction)
{
return Direction == Direction.dLeftToRight ? e.nextInAEL: e.prevInAEL;
}
//------------------------------------------------------------------------------
private bool IsMinima(TEdge e)
{
return e != null && (e.prev.nextInLML != e) && (e.next.nextInLML != e);
}
//------------------------------------------------------------------------------
private bool IsMaxima(TEdge e, double Y)
{
return (e != null && e.ytop == Y && e.nextInLML == null);
}
//------------------------------------------------------------------------------
private bool IsIntermediate(TEdge e, double Y)
{
return (e.ytop == Y && e.nextInLML != null);
}
//------------------------------------------------------------------------------
private TEdge GetMaximaPair(TEdge e)
{
if (!IsMaxima(e.next, e.ytop) || (e.next.xtop != e.xtop))
return e.prev; else
return e.next;
}
//------------------------------------------------------------------------------
private bool ProcessIntersections(Int64 botY, Int64 topY)
{
if( m_ActiveEdges == null ) return true;
try {
BuildIntersectList(botY, topY);
if ( m_IntersectNodes == null) return true;
if (m_IntersectNodes.next == null || FixupIntersectionOrder())
ProcessIntersectList();
else
return false;
}
catch {
m_SortedEdges = null;
DisposeIntersectNodes();
throw new ClipperException("ProcessIntersections error");
}
m_SortedEdges = null;
return true;
}
//------------------------------------------------------------------------------
private void BuildIntersectList(Int64 botY, Int64 topY)
{
if ( m_ActiveEdges == null ) return;
//prepare for sorting ...
TEdge e = m_ActiveEdges;
m_SortedEdges = e;
while( e != null )
{
e.prevInSEL = e.prevInAEL;
e.nextInSEL = e.nextInAEL;
e.xcurr = TopX( e, topY );
e = e.nextInAEL;
}
//bubblesort ...
bool isModified = true;
while( isModified && m_SortedEdges != null )
{
isModified = false;
e = m_SortedEdges;
while( e.nextInSEL != null )
{
TEdge eNext = e.nextInSEL;
IntPoint pt = new IntPoint();
if (e.xcurr > eNext.xcurr)
{
if (!IntersectPoint(e, eNext, ref pt) && e.xcurr > eNext.xcurr +1)
throw new ClipperException("Intersection error");
if (pt.Y > botY)
{
pt.Y = botY;
pt.X = TopX(e, pt.Y);
}
InsertIntersectNode(e, eNext, pt);
SwapPositionsInSEL(e, eNext);
isModified = true;
}
else
e = eNext;
}
if( e.prevInSEL != null ) e.prevInSEL.nextInSEL = null;
else break;
}
m_SortedEdges = null;
}
//------------------------------------------------------------------------------
private bool EdgesAdjacent(IntersectNode inode)
{
return (inode.edge1.nextInSEL == inode.edge2) ||
(inode.edge1.prevInSEL == inode.edge2);
}
//------------------------------------------------------------------------------
private bool FixupIntersectionOrder()
{
//pre-condition: intersections are sorted bottom-most (then left-most) first.
//Now it's crucial that intersections are made only between adjacent edges,
//so to ensure this the order of intersections may need adjusting ...
IntersectNode inode = m_IntersectNodes;
CopyAELToSEL();
while (inode != null)
{
if (!EdgesAdjacent(inode))
{
IntersectNode nextNode = inode.next;
while (nextNode != null && !EdgesAdjacent(nextNode))
nextNode = nextNode.next;
if (nextNode == null)
return false;
SwapIntersectNodes(inode, nextNode);
}
SwapPositionsInSEL(inode.edge1, inode.edge2);
inode = inode.next;
}
return true;
}
//------------------------------------------------------------------------------
private void ProcessIntersectList()
{
while (m_IntersectNodes != null)
{
IntersectNode iNode = m_IntersectNodes.next;
{
IntersectEdges( m_IntersectNodes.edge1 ,
m_IntersectNodes.edge2 , m_IntersectNodes.pt, Protects.ipBoth );
SwapPositionsInAEL( m_IntersectNodes.edge1 , m_IntersectNodes.edge2 );
}
m_IntersectNodes = null;
m_IntersectNodes = iNode;
}
}
//------------------------------------------------------------------------------
private static Int64 Round(double value)
{
return value < 0 ? (Int64)(value - 0.5) : (Int64)(value + 0.5);
}
//------------------------------------------------------------------------------
private static Int64 TopX(TEdge edge, Int64 currentY)
{
if (currentY == edge.ytop)
return edge.xtop;
return edge.xbot + Round(edge.dx *(currentY - edge.ybot));
}
//------------------------------------------------------------------------------
private void InsertIntersectNode(TEdge e1, TEdge e2, IntPoint pt)
{
IntersectNode newNode = new IntersectNode();
newNode.edge1 = e1;
newNode.edge2 = e2;
newNode.pt = pt;
newNode.next = null;
if (m_IntersectNodes == null) m_IntersectNodes = newNode;
else if (newNode.pt.Y > m_IntersectNodes.pt.Y)
{
newNode.next = m_IntersectNodes;
m_IntersectNodes = newNode;
}
else
{
IntersectNode iNode = m_IntersectNodes;
while (iNode.next != null && newNode.pt.Y < iNode.next.pt.Y)
iNode = iNode.next;
newNode.next = iNode.next;
iNode.next = newNode;
}
}
//------------------------------------------------------------------------------
private 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;
}
//------------------------------------------------------------------------------
private bool IntersectPoint(TEdge edge1, TEdge edge2, ref IntPoint ip)
{
double b1, b2;
if (SlopesEqual(edge1, edge2, m_UseFullRange))
{
if (edge2.ybot > edge1.ybot)
ip.Y = edge2.ybot;
else
ip.Y = edge1.ybot;
return false;
}
else if (edge1.dx == 0)
{
ip.X = edge1.xbot;
if (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 (edge2.dx == 0)
{
ip.X = edge2.xbot;
if (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;
double q = (b2 - b1) / (edge1.dx - edge2.dx);
ip.Y = Round(q);
if (Math.Abs(edge1.dx) < Math.Abs(edge2.dx))
ip.X = Round(edge1.dx * q + b1);
else
ip.X = Round(edge2.dx * q + b2);
}
if (ip.Y < edge1.ytop || ip.Y < edge2.ytop)
{
if (edge1.ytop > edge2.ytop)
{
ip.X = edge1.xtop;
ip.Y = edge1.ytop;
return TopX(edge2, edge1.ytop) < edge1.xtop;
}
else
{
ip.X = edge2.xtop;
ip.Y = edge2.ytop;
return TopX(edge1, edge2.ytop) > edge2.xtop;
}
}
else
return true;
}
//------------------------------------------------------------------------------
private void DisposeIntersectNodes()
{
while ( m_IntersectNodes != null )
{
IntersectNode iNode = m_IntersectNodes.next;
m_IntersectNodes = null;
m_IntersectNodes = iNode;
}
}
//------------------------------------------------------------------------------
private void ProcessEdgesAtTopOfScanbeam(Int64 topY)
{
TEdge e = m_ActiveEdges;
while( e != null )
{
//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) && GetMaximaPair(e).dx != horizontal )
{
//'e' might be removed from AEL, as may any following edges so ...
TEdge ePrev = e.prevInAEL;
DoMaxima(e, topY);
if( ePrev == null ) e = m_ActiveEdges;
else e = ePrev.nextInAEL;
}
else
{
bool intermediateVert = IsIntermediate(e, topY);
//2. promote horizontal edges, otherwise update xcurr and ycurr ...
if (intermediateVert && e.nextInLML.dx == horizontal)
{
if (e.outIdx >= 0)
{
AddOutPt(e, new IntPoint(e.xtop, e.ytop));
for (int i = 0; i < m_HorizJoins.Count; ++i)
{
IntPoint pt = new IntPoint(), pt2 = new IntPoint();
HorzJoinRec hj = m_HorizJoins[i];
if (GetOverlapSegment(new IntPoint(hj.edge.xbot, hj.edge.ybot),
new IntPoint(hj.edge.xtop, hj.edge.ytop),
new IntPoint(e.nextInLML.xbot, e.nextInLML.ybot),
new IntPoint(e.nextInLML.xtop, e.nextInLML.ytop), ref pt, ref pt2))
AddJoin(hj.edge, e.nextInLML, hj.savedIdx, e.outIdx);
}
AddHorzJoin(e.nextInLML, e.outIdx);
}
UpdateEdgeIntoAEL(ref e);
AddEdgeToSEL(e);
}
else
{
e.xcurr = TopX( e, topY );
e.ycurr = topY;
if (m_ForceSimple && e.prevInAEL != null &&
e.prevInAEL.xcurr == e.xcurr &&
e.outIdx >= 0 && e.prevInAEL.outIdx >= 0)
{
if (intermediateVert)
AddOutPt(e.prevInAEL, new IntPoint(e.xcurr, topY));
else
AddOutPt(e, new IntPoint(e.xcurr, topY));
}
}
e = e.nextInAEL;
}
}
//3. Process horizontals at the top of the scanbeam ...
ProcessHorizontals();
//4. Promote intermediate vertices ...
e = m_ActiveEdges;
while( e != null )
{
if( IsIntermediate( e, topY ) )
{
if (e.outIdx >= 0) AddOutPt(e, new IntPoint(e.xtop, e.ytop));
UpdateEdgeIntoAEL(ref e);
//if output polygons share an edge, they'll need joining later ...
TEdge ePrev = e.prevInAEL;
TEdge eNext = e.nextInAEL;
if (ePrev != null && ePrev.xcurr == e.xbot &&
ePrev.ycurr == e.ybot && e.outIdx >= 0 &&
ePrev.outIdx >= 0 && ePrev.ycurr > ePrev.ytop &&
SlopesEqual(e, ePrev, m_UseFullRange))
{
AddOutPt(ePrev, new IntPoint(e.xbot, e.ybot));
AddJoin(e, ePrev, -1, -1);
}
else if (eNext != null && eNext.xcurr == e.xbot &&
eNext.ycurr == e.ybot && e.outIdx >= 0 &&
eNext.outIdx >= 0 && eNext.ycurr > eNext.ytop &&
SlopesEqual(e, eNext, m_UseFullRange))
{
AddOutPt(eNext, new IntPoint(e.xbot, e.ybot));
AddJoin(e, eNext, -1, -1);
}
}
e = e.nextInAEL;
}
}
//------------------------------------------------------------------------------
private void DoMaxima(TEdge e, Int64 topY)
{
TEdge eMaxPair = GetMaximaPair(e);
Int64 X = e.xtop;
TEdge eNext = e.nextInAEL;
while( eNext != eMaxPair )
{
if (eNext == null) throw new ClipperException("DoMaxima error");
IntersectEdges( e, eNext, new IntPoint(X, topY), Protects.ipBoth );
SwapPositionsInAEL(e, eNext);
eNext = e.nextInAEL;
}
if( e.outIdx < 0 && eMaxPair.outIdx < 0 )
{
DeleteFromAEL( e );
DeleteFromAEL( eMaxPair );
}
else if( e.outIdx >= 0 && eMaxPair.outIdx >= 0 )
{
IntersectEdges(e, eMaxPair, new IntPoint(X, topY), Protects.ipNone);
}
else throw new ClipperException("DoMaxima error");
}
//------------------------------------------------------------------------------
public static void ReversePolygons(Polygons polys)
{
polys.ForEach(delegate(Polygon poly) { poly.Reverse(); });
}
//------------------------------------------------------------------------------
public static bool Orientation(Polygon poly)
{
return Area(poly) >= 0;
}
//------------------------------------------------------------------------------
private int PointCount(OutPt pts)
{
if (pts == null) return 0;
int result = 0;
OutPt p = pts;
do
{
result++;
p = p.next;
}
while (p != pts);
return result;
}
//------------------------------------------------------------------------------
private void BuildResult(Polygons polyg)
{
polyg.Clear();
polyg.Capacity = m_PolyOuts.Count;
for (int i = 0; i < m_PolyOuts.Count; i++)
{
OutRec outRec = m_PolyOuts[i];
if (outRec.pts == null) continue;
OutPt p = outRec.pts;
int cnt = PointCount(p);
if (cnt < 3) continue;
Polygon pg = new Polygon(cnt);
for (int j = 0; j < cnt; j++)
{
pg.Add(p.pt);
p = p.prev;
}
polyg.Add(pg);
}
}
//------------------------------------------------------------------------------
private void BuildResult2(PolyTree polytree)
{
polytree.Clear();
//add each output polygon/contour to polytree ...
polytree.m_AllPolys.Capacity = m_PolyOuts.Count;
for (int i = 0; i < m_PolyOuts.Count; i++)
{
OutRec outRec = m_PolyOuts[i];
int cnt = PointCount(outRec.pts);
if (cnt < 3) continue;
FixHoleLinkage(outRec);
PolyNode pn = new PolyNode();
polytree.m_AllPolys.Add(pn);
outRec.polyNode = pn;
pn.m_polygon.Capacity = cnt;
OutPt op = outRec.pts;
for (int j = 0; j < cnt; j++)
{
pn.m_polygon.Add(op.pt);
op = op.prev;
}
}
//fixup PolyNode links etc ...
polytree.m_Childs.Capacity = m_PolyOuts.Count;
for (int i = 0; i < m_PolyOuts.Count; i++)
{
OutRec outRec = m_PolyOuts[i];
if (outRec.polyNode == null) continue;
if (outRec.FirstLeft == null)
polytree.AddChild(outRec.polyNode);
else
outRec.FirstLeft.polyNode.AddChild(outRec.polyNode);
}
}
//------------------------------------------------------------------------------
private void FixupOutPolygon(OutRec outRec)
{
//FixupOutPolygon() - removes duplicate points and simplifies consecutive
//parallel edges by removing the middle vertex.
OutPt lastOK = null;
outRec.bottomPt = null;
OutPt pp = outRec.pts;
for (;;)
{
if (pp.prev == pp || pp.prev == pp.next)
{
DisposeOutPts(pp);
outRec.pts = null;
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 = null;
OutPt tmp = pp;
pp.prev.next = pp.next;
pp.next.prev = pp.prev;
pp = pp.prev;
tmp = null;
}
else if (pp == lastOK) break;
else
{
if (lastOK == null) lastOK = pp;
pp = pp.next;
}
}
outRec.pts = pp;
}
//------------------------------------------------------------------------------
private bool JoinPoints(JoinRec j, out OutPt p1, out OutPt p2)
{
p1 = null; p2 = null;
OutRec outRec1 = m_PolyOuts[j.poly1Idx];
OutRec outRec2 = m_PolyOuts[j.poly2Idx];
if (outRec1 == null || outRec2 == null) return false;
OutPt pp1a = outRec1.pts;
OutPt pp2a = outRec2.pts;
IntPoint pt1 = j.pt2a, pt2 = j.pt2b;
IntPoint pt3 = j.pt1a, pt4 = j.pt1b;
if (!FindSegment(ref pp1a, m_UseFullRange, ref pt1, ref pt2)) return false;
if (outRec1 == outRec2)
{
//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(ref pp2a, m_UseFullRange, ref pt3, ref pt4) || (pp2a == pp1a))
return false;
}
else if (!FindSegment(ref pp2a, m_UseFullRange, ref pt3, ref pt4)) return false;
if (!GetOverlapSegment(pt1, pt2, pt3, pt4, ref pt1, ref pt2)) return false;
OutPt p3, p4, 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;
return true;
}
else if (p1.prev == p2 && p3.next == p4)
{
p1.prev = p3;
p3.next = p1;
p2.next = p4;
p4.prev = p2;
return true;
}
else
return false; //an orientation is probably wrong
}
//----------------------------------------------------------------------
private void FixupJoinRecs(JoinRec j, OutPt pt, int startIdx)
{
for (int k = startIdx; k < m_Joins.Count; k++)
{
JoinRec j2 = m_Joins[k];
if (j2.poly1Idx == j.poly1Idx && PointIsVertex(j2.pt1a, pt))
j2.poly1Idx = j.poly2Idx;
if (j2.poly2Idx == j.poly1Idx && PointIsVertex(j2.pt2a, pt))
j2.poly2Idx = j.poly2Idx;
}
}
//----------------------------------------------------------------------
private bool Poly2ContainsPoly1(OutPt outPt1, OutPt outPt2, bool UseFullInt64Range)
{
OutPt pt = outPt1;
//Because the polygons may be touching, we need to find a vertex that
//isn't touching the other polygon ...
if (PointOnPolygon(pt.pt, outPt2, UseFullInt64Range))
{
pt = pt.next;
while (pt != outPt1 && PointOnPolygon(pt.pt, outPt2, UseFullInt64Range))
pt = pt.next;
if (pt == outPt1) return true;
}
return PointInPolygon(pt.pt, outPt2, UseFullInt64Range);
}
//----------------------------------------------------------------------
private void FixupFirstLefts1(OutRec OldOutRec, OutRec NewOutRec)
{
for (int i = 0; i < m_PolyOuts.Count; i++)
{
OutRec outRec = m_PolyOuts[i];
if (outRec.pts != null && outRec.FirstLeft == OldOutRec)
{
if (Poly2ContainsPoly1(outRec.pts, NewOutRec.pts, m_UseFullRange))
outRec.FirstLeft = NewOutRec;
}
}
}
//----------------------------------------------------------------------
private void FixupFirstLefts2(OutRec OldOutRec, OutRec NewOutRec)
{
foreach (OutRec outRec in m_PolyOuts)
if (outRec.FirstLeft == OldOutRec) outRec.FirstLeft = NewOutRec;
}
//----------------------------------------------------------------------
private void JoinCommonEdges()
{
for (int i = 0; i < m_Joins.Count; i++)
{
JoinRec j = m_Joins[i];
OutRec outRec1 = GetOutRec(j.poly1Idx);
OutRec outRec2 = GetOutRec(j.poly2Idx);
if (outRec1.pts == null || outRec2.pts == null) continue;
//get the polygon fragment with the correct hole state (FirstLeft)
//before calling JoinPoints() ...
OutRec holeStateRec;
if (outRec1 == outRec2) holeStateRec = outRec1;
else if (Param1RightOfParam2(outRec1, outRec2)) holeStateRec = outRec2;
else if (Param1RightOfParam2(outRec2, outRec1)) holeStateRec = outRec1;
else holeStateRec = GetLowermostRec(outRec1, outRec2);
OutPt p1, p2;
if (!JoinPoints(j, out p1, out p2)) continue;
if (outRec1 == outRec2)
{
//instead of joining two polygons, we've just created a new one by
//splitting one polygon into two.
outRec1.pts = p1;
outRec1.bottomPt = null;
outRec2 = CreateOutRec();
outRec2.pts = p2;
if (Poly2ContainsPoly1(outRec2.pts, outRec1.pts, m_UseFullRange))
{
//outRec2 is contained by outRec1 ...
outRec2.isHole = !outRec1.isHole;
outRec2.FirstLeft = outRec1;
FixupJoinRecs(j, p2, i + 1);
//fixup FirstLeft pointers that may need reassigning to OutRec1
if (m_UsingPolyTree) FixupFirstLefts2(outRec2, outRec1);
FixupOutPolygon(outRec1); //nb: do this BEFORE testing orientation
FixupOutPolygon(outRec2); // but AFTER calling FixupJoinRecs()
if ((outRec2.isHole ^ m_ReverseOutput) == (Area(outRec2, m_UseFullRange) > 0))
ReversePolyPtLinks(outRec2.pts);
}
else if (Poly2ContainsPoly1(outRec1.pts, outRec2.pts, m_UseFullRange))
{
//outRec1 is contained by outRec2 ...
outRec2.isHole = outRec1.isHole;
outRec1.isHole = !outRec2.isHole;
outRec2.FirstLeft = outRec1.FirstLeft;
outRec1.FirstLeft = outRec2;
FixupJoinRecs(j, p2, i + 1);
//fixup FirstLeft pointers that may need reassigning to OutRec1
if (m_UsingPolyTree) FixupFirstLefts2(outRec1, outRec2);
FixupOutPolygon(outRec1); //nb: do this BEFORE testing orientation
FixupOutPolygon(outRec2); // but AFTER calling FixupJoinRecs()
if ((outRec1.isHole ^ m_ReverseOutput) == (Area(outRec1, m_UseFullRange) > 0))
ReversePolyPtLinks(outRec1.pts);
}
else
{
//the 2 polygons are completely separate ...
outRec2.isHole = outRec1.isHole;
outRec2.FirstLeft = outRec1.FirstLeft;
FixupJoinRecs(j, p2, i + 1);
//fixup FirstLeft pointers that may need reassigning to OutRec2
if (m_UsingPolyTree) FixupFirstLefts1(outRec1, outRec2);
FixupOutPolygon(outRec1); //nb: do this BEFORE testing orientation
FixupOutPolygon(outRec2); // but AFTER calling FixupJoinRecs()
}
}
else
{
//joined 2 polygons together ...
//cleanup redundant edges ...
FixupOutPolygon(outRec1);
outRec2.pts = null;
outRec2.bottomPt = null;
outRec2.idx = outRec1.idx;
outRec1.isHole = holeStateRec.isHole;
if (holeStateRec == outRec2)
outRec1.FirstLeft = outRec2.FirstLeft;
outRec2.FirstLeft = outRec1;
//fixup FirstLeft pointers that may need reassigning to OutRec1
if (m_UsingPolyTree) FixupFirstLefts2(outRec2, outRec1);
}
}
}
//------------------------------------------------------------------------------
private void UpdateOutPtIdxs(OutRec outrec)
{
OutPt op = outrec.pts;
do
{
op.idx = outrec.idx;
op = op.prev;
}
while(op != outrec.pts);
}
//------------------------------------------------------------------------------
private void DoSimplePolygons()
{
int i = 0;
while (i < m_PolyOuts.Count)
{
OutRec outrec = m_PolyOuts[i++];
OutPt op = outrec.pts;
if (op == null) continue;
do //for each Pt in Polygon until duplicate found do ...
{
OutPt op2 = op.next;
while (op2 != outrec.pts)
{
if (PointsEqual(op.pt, op2.pt) && op2.next != op && op2.prev != op)
{
//split the polygon into two ...
OutPt op3 = op.prev;
OutPt op4 = op2.prev;
op.prev = op4;
op4.next = op;
op2.prev = op3;
op3.next = op2;
outrec.pts = op;
OutRec outrec2 = CreateOutRec();
outrec2.pts = op2;
UpdateOutPtIdxs(outrec2);
if (Poly2ContainsPoly1(outrec2.pts, outrec.pts, m_UseFullRange))
{
//OutRec2 is contained by OutRec1 ...
outrec2.isHole = !outrec.isHole;
outrec2.FirstLeft = outrec;
}
else
if (Poly2ContainsPoly1(outrec.pts, outrec2.pts, m_UseFullRange))
{
//OutRec1 is contained by OutRec2 ...
outrec2.isHole = outrec.isHole;
outrec.isHole = !outrec2.isHole;
outrec2.FirstLeft = outrec.FirstLeft;
outrec.FirstLeft = outrec2;
} else
{
//the 2 polygons are separate ...
outrec2.isHole = outrec.isHole;
outrec2.FirstLeft = outrec.FirstLeft;
}
op2 = op; //ie get ready for the next iteration
}
op2 = op2.next;
}
op = op.next;
}
while (op != outrec.pts);
}
}
//------------------------------------------------------------------------------
private static bool FullRangeNeeded(Polygon pts)
{
bool result = false;
for (int i = 0; i < pts.Count; i++)
{
if (Math.Abs(pts[i].X) > hiRange || Math.Abs(pts[i].Y) > hiRange)
throw new ClipperException("Coordinate exceeds range bounds.");
else if (Math.Abs(pts[i].X) > loRange || Math.Abs(pts[i].Y) > loRange)
result = true;
}
return result;
}
//------------------------------------------------------------------------------
public static double Area(Polygon poly)
{
int highI = poly.Count - 1;
if (highI < 2) return 0;
if (FullRangeNeeded(poly))
{
Int128 a = new Int128(0);
a = Int128.Int128Mul(poly[highI].X + poly[0].X, poly[0].Y - poly[highI].Y);
for (int i = 1; i <= highI; ++i)
a += Int128.Int128Mul(poly[i - 1].X + poly[i].X, poly[i].Y - poly[i - 1].Y);
return a.ToDouble() / 2;
}
else
{
double area = ((double)poly[highI].X + poly[0].X) * ((double)poly[0].Y - poly[highI].Y);
for (int i = 1; i <= highI; ++i)
area += ((double)poly[i - 1].X + poly[i].X) * ((double)poly[i].Y - poly[i -1].Y);
return area / 2;
}
}
//------------------------------------------------------------------------------
double Area(OutRec outRec, bool UseFull64BitRange)
{
OutPt op = outRec.pts;
if (op == null) return 0;
if (UseFull64BitRange)
{
Int128 a = new Int128(0);
do
{
a += Int128.Int128Mul(op.pt.X + op.prev.pt.X, op.prev.pt.Y - op.pt.Y);
op = op.next;
} while (op != outRec.pts);
return a.ToDouble() / 2;
}
else
{
double a = 0;
do {
a = a + (op.pt.X + op.prev.pt.X) * (op.prev.pt.Y - op.pt.Y);
op = op.next;
} while (op != outRec.pts);
return a/2;
}
}
//------------------------------------------------------------------------------
// OffsetPolygon functions ...
//------------------------------------------------------------------------------
internal static Polygon BuildArc(IntPoint pt, double a1, double a2, double r, double limit)
{
//see notes in clipper.pas regarding steps
double arcFrac = Math.Abs(a2 - a1) / (2 * Math.PI);
int steps = (int)(arcFrac * Math.PI / Math.Acos(1 - limit / Math.Abs(r)));
if (steps < 2)
steps = 2;
else if (steps > (int)(222.0 * arcFrac))
steps = (int)(222.0 * arcFrac);
double x = Math.Cos(a1);
double y = Math.Sin(a1);
double c = Math.Cos((a2 - a1) / steps);
double s = Math.Sin((a2 - a1) / steps);
Polygon result = new Polygon(steps +1);
for (int i = 0; i <= steps; ++i)
{
result.Add(new IntPoint(pt.X + Round(x * r), pt.Y + Round(y * r)));
double x2 = x;
x = x * c - s * y; //cross product
y = x2 * s + y * c; //dot product
}
return result;
}
//------------------------------------------------------------------------------
internal static DoublePoint GetUnitNormal(IntPoint pt1, IntPoint pt2)
{
double dx = (pt2.X - pt1.X);
double dy = (pt2.Y - pt1.Y);
if ((dx == 0) && (dy == 0)) return new DoublePoint();
double f = 1 * 1.0 / Math.Sqrt(dx * dx + dy * dy);
dx *= f;
dy *= f;
return new DoublePoint(dy, -dx);
}
//------------------------------------------------------------------------------
internal class DoublePoint
{
public double X { get; set; }
public double Y { get; set; }
public DoublePoint(double x = 0, double y = 0)
{
this.X = x; this.Y = y;
}
public DoublePoint(DoublePoint dp)
{
this.X = dp.X; this.Y = dp.Y;
}
};
//------------------------------------------------------------------------------
private class PolyOffsetBuilder
{
private Polygons m_p;
private Polygon currentPoly;
private List<DoublePoint> normals = new List<DoublePoint>();
private double m_delta, m_r, m_rmin;
private int m_i, m_j, m_k;
private const int m_buffLength = 128;
void OffsetPoint(JoinType jointype, double limit)
{
switch (jointype)
{
case JoinType.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();
break;
}
case JoinType.jtSquare: DoSquare(); break;
case JoinType.jtRound: DoRound(limit); break;
}
m_k = m_j;
}
//------------------------------------------------------------------------------
public PolyOffsetBuilder(Polygons pts, Polygons solution, bool isPolygon, double delta,
JoinType jointype, EndType endtype, double limit = 0)
{
//precondition: solution != pts
if (delta == 0) {solution = pts; return; }
m_p = pts;
m_delta = delta;
m_rmin = 0.5;
if (jointype == JoinType.jtMiter)
{
if (limit > 2) m_rmin = 2.0 / (limit * limit);
limit = 0.25; //just in case endtype == etRound
}
else
{
if (limit <= 0) limit = 0.25;
else if (limit > Math.Abs(delta)) limit = Math.Abs(delta);
}
double deltaSq = delta * delta;
solution.Clear();
solution.Capacity = pts.Count;
for (m_i = 0; m_i < pts.Count; m_i++)
{
int len = pts[m_i].Count;
if (len == 0 || (len < 3 && delta <= 0))
continue;
else if (len == 1)
{
currentPoly = new Polygon();
currentPoly = BuildArc(pts[m_i][0], 0, 2*Math.PI, delta, limit);
solution.Add(currentPoly);
continue;
}
bool forceClose = PointsEqual(pts[m_i][0], pts[m_i][len - 1]);
if (forceClose) len--;
//build normals ...
normals.Clear();
normals.Capacity = len;
for (int j = 0; j < len -1; ++j)
normals.Add(GetUnitNormal(pts[m_i][j], pts[m_i][j+1]));
if (isPolygon || forceClose)
normals.Add(GetUnitNormal(pts[m_i][len - 1], pts[m_i][0]));
else
normals.Add(new DoublePoint(normals[len - 2]));
currentPoly = new Polygon();
if (isPolygon || forceClose)
{
m_k = len - 1;
for (m_j = 0; m_j < len; ++m_j)
OffsetPoint(jointype, limit);
solution.Add(currentPoly);
if (!isPolygon)
{
currentPoly = new Polygon();
m_delta = -m_delta;
m_k = len - 1;
for (m_j = 0; m_j < len; ++m_j)
OffsetPoint(jointype, limit);
m_delta = -m_delta;
currentPoly.Reverse();
solution.Add(currentPoly);
}
}
else
{
m_k = 0;
for (m_j = 1; m_j < len - 1; ++m_j)
OffsetPoint(jointype, limit);
IntPoint pt1;
if (endtype == EndType.etButt)
{
m_j = len - 1;
pt1 = new IntPoint((Int64)Round(pts[m_i][m_j].X + normals[m_j].X *
delta), (Int64)Round(pts[m_i][m_j].Y + normals[m_j].Y * delta));
AddPoint(pt1);
pt1 = new IntPoint((Int64)Round(pts[m_i][m_j].X - normals[m_j].X *
delta), (Int64)Round(pts[m_i][m_j].Y - normals[m_j].Y * delta));
AddPoint(pt1);
}
else
{
m_j = len - 1;
m_k = len - 2;
normals[m_j].X = -normals[m_j].X;
normals[m_j].Y = -normals[m_j].Y;
if (endtype == EndType.etSquare) DoSquare();
else DoRound(limit);
}
//re-build Normals ...
for (int j = len - 1; j > 0; j--)
{
normals[j].X = -normals[j - 1].X;
normals[j].Y = -normals[j - 1].Y;
}
normals[0].X = -normals[1].X;
normals[0].Y = -normals[1].Y;
m_k = len - 1;
for (m_j = m_k - 1; m_j > 0; --m_j)
OffsetPoint(jointype, limit);
if (endtype == EndType.etButt)
{
pt1 = new IntPoint((Int64)Round(pts[m_i][0].X - normals[0].X * delta),
(Int64)Round(pts[m_i][0].Y - normals[0].Y * delta));
AddPoint(pt1);
pt1 = new IntPoint((Int64)Round(pts[m_i][0].X + normals[0].X * delta),
(Int64)Round(pts[m_i][0].Y + normals[0].Y * delta));
AddPoint(pt1);
}
else
{
m_k = 1;
if (endtype == EndType.etSquare) DoSquare();
else DoRound(limit);
}
solution.Add(currentPoly);
}
}
//finally, clean up untidy corners ...
Clipper clpr = new Clipper();
clpr.AddPolygons(solution, PolyType.ptSubject);
if (delta > 0)
{
clpr.Execute(ClipType.ctUnion, solution, PolyFillType.pftPositive, PolyFillType.pftPositive);
}
else
{
IntRect r = clpr.GetBounds();
Polygon outer = new Polygon(4);
outer.Add(new IntPoint(r.left - 10, r.bottom + 10));
outer.Add(new IntPoint(r.right + 10, r.bottom + 10));
outer.Add(new IntPoint(r.right + 10, r.top - 10));
outer.Add(new IntPoint(r.left - 10, r.top - 10));
clpr.AddPolygon(outer, PolyType.ptSubject);
clpr.ReverseSolution = true;
clpr.Execute(ClipType.ctUnion, solution, PolyFillType.pftNegative, PolyFillType.pftNegative);
if (solution.Count > 0) solution.RemoveAt(0);
}
}
//------------------------------------------------------------------------------
internal void AddPoint(IntPoint pt)
{
if (currentPoly.Count == currentPoly.Capacity)
currentPoly.Capacity += m_buffLength;
currentPoly.Add(pt);
}
//------------------------------------------------------------------------------
internal void DoSquare()
{
IntPoint pt1 = new IntPoint((Int64)Round(m_p[m_i][m_j].X + normals[m_k].X * m_delta),
(Int64)Round(m_p[m_i][m_j].Y + normals[m_k].Y * m_delta));
IntPoint pt2 = new IntPoint((Int64)Round(m_p[m_i][m_j].X + normals[m_j].X * m_delta),
(Int64)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 = Math.Atan2(normals[m_k].Y, normals[m_k].X);
double a2 = Math.Atan2(-normals[m_j].Y, -normals[m_j].X);
a1 = Math.Abs(a2 - a1);
if (a1 > Math.PI) a1 = Math.PI * 2 - a1;
double dx = Math.Tan((Math.PI - a1) / 4) * Math.Abs(m_delta);
pt1 = new IntPoint((Int64)(pt1.X - normals[m_k].Y * dx),
(Int64)(pt1.Y + normals[m_k].X * dx));
AddPoint(pt1);
pt2 = new IntPoint((Int64)(pt2.X + normals[m_j].Y * dx),
(Int64)(pt2.Y - normals[m_j].X * dx));
AddPoint(pt2);
}
else
{
AddPoint(pt1);
AddPoint(m_p[m_i][m_j]);
AddPoint(pt2);
}
}
//------------------------------------------------------------------------------
internal 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(new IntPoint((Int64)Round(m_p[m_i][m_j].X +
(normals[m_k].X + normals[m_j].X) * q),
(Int64)Round(m_p[m_i][m_j].Y + (normals[m_k].Y + normals[m_j].Y) * q)));
}
else
{
IntPoint pt1 = new IntPoint((Int64)Round(m_p[m_i][m_j].X + normals[m_k].X * m_delta),
(Int64)Round(m_p[m_i][m_j].Y + normals[m_k].Y * m_delta));
IntPoint pt2 = new IntPoint((Int64)Round(m_p[m_i][m_j].X + normals[m_j].X * m_delta),
(Int64)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);
}
}
//------------------------------------------------------------------------------
internal void DoRound(double Limit)
{
IntPoint pt1 = new IntPoint(Round(m_p[m_i][m_j].X + normals[m_k].X * m_delta),
Round(m_p[m_i][m_j].Y + normals[m_k].Y * m_delta));
IntPoint pt2 = new IntPoint(Round(m_p[m_i][m_j].X + normals[m_j].X * m_delta),
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).
//cross product normals < 0 . angle > 180 deg.
//dot product normals == 1 . no angle
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 = Math.Atan2(normals[m_k].Y, normals[m_k].X);
double a2 = Math.Atan2(normals[m_j].Y, normals[m_j].X);
if (m_delta > 0 && a2 < a1) a2 += Math.PI * 2;
else if (m_delta < 0 && a2 > a1) a2 -= Math.PI * 2;
Polygon arc = BuildArc(m_p[m_i][m_j], a1, a2, m_delta, Limit);
for (int m = 0; m < arc.Count; m++)
AddPoint(arc[m]);
}
}
else
AddPoint(m_p[m_i][m_j]);
AddPoint(pt2);
}
//------------------------------------------------------------------------------
} //end PolyOffsetBuilder
//------------------------------------------------------------------------------
internal static bool UpdateBotPt(IntPoint pt, ref IntPoint botPt)
{
if (pt.Y > botPt.Y || (pt.Y == botPt.Y && pt.X < botPt.X))
{
botPt = pt;
return true;
}
else return false;
}
//------------------------------------------------------------------------------
public static Polygons OffsetPolygons(Polygons poly, double delta,
JoinType jointype, double MiterLimit, bool AutoFix)
{
Polygons result = new Polygons();
//AutoFix - fixes polygon orientation if necessary and removes
//duplicate vertices. Can be set false when you're sure that polygon
//orientation is correct and that there are no duplicate vertices.
if (AutoFix)
{
int Len = poly.Count, botI = 0;
while (botI < Len && poly[botI].Count == 0) botI++;
if (botI == Len) return result;
//botPt: used to find the lowermost (in inverted Y-axis) & leftmost point
//This point (on pts[botI]) must be on an outer polygon ring and if
//its orientation is false (counterclockwise) then assume all polygons
//need reversing ...
IntPoint botPt = poly[botI][0];
for (int i = botI; i < Len; ++i)
{
if (poly[i].Count == 0) continue;
if (UpdateBotPt(poly[i][0], ref botPt)) botI = i;
for (int j = poly[i].Count - 1; j > 0; j--)
{
if (PointsEqual(poly[i][j], poly[i][j - 1]))
poly[i].RemoveAt(j);
else if (UpdateBotPt(poly[i][j], ref botPt))
botI = i;
}
}
if (!Orientation(poly[botI]))
ReversePolygons(poly);
}
new PolyOffsetBuilder(poly, result, true, delta, jointype, EndType.etClosed, MiterLimit);
return result;
}
//------------------------------------------------------------------------------
public static Polygons OffsetPolygons(Polygons poly, double delta,
JoinType jointype, double MiterLimit)
{
return OffsetPolygons(poly, delta, jointype, MiterLimit, true);
}
//------------------------------------------------------------------------------
public static Polygons OffsetPolygons(Polygons poly, double delta, JoinType jointype)
{
return OffsetPolygons(poly, delta, jointype, 0, true);
}
//------------------------------------------------------------------------------
public static Polygons OffsetPolygons(Polygons poly, double delta)
{
return OffsetPolygons(poly, delta, JoinType.jtSquare, 0, true);
}
//------------------------------------------------------------------------------
public static Polygons OffsetPolyLines(Polygons lines,
double delta, JoinType jointype, EndType endtype,
double limit)
{
Polygons result = new Polygons();
//automatically strip duplicate points because it gets complicated with
//open and closed lines and when to strip duplicates across begin-end ...
Polygons pts = new Polygons(lines);
for (int i = 0; i < pts.Count; ++i)
{
for (int j = pts[i].Count - 1; j > 0; j--)
if (PointsEqual(pts[i][j], pts[i][j - 1]))
pts[i].RemoveAt(j);
}
if (endtype == EndType.etClosed)
{
int sz = pts.Count;
pts.Capacity = sz * 2;
for (int i = 0; i < sz; ++i)
{
Polygon line = new Polygon(pts[i]);
line.Reverse();
pts.Add(line);
}
new PolyOffsetBuilder(pts, result, true, delta, jointype, endtype, limit);
}
else
new PolyOffsetBuilder(pts, result, false, delta, jointype, endtype, limit);
return result;
}
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
// SimplifyPolygon functions ...
// Convert self-intersecting polygons into simple polygons
//------------------------------------------------------------------------------
public static Polygons SimplifyPolygon(Polygon poly,
PolyFillType fillType = PolyFillType.pftEvenOdd)
{
Polygons result = new Polygons();
Clipper c = new Clipper();
c.ForceSimple = true;
c.AddPolygon(poly, PolyType.ptSubject);
c.Execute(ClipType.ctUnion, result, fillType, fillType);
return result;
}
//------------------------------------------------------------------------------
public static Polygons SimplifyPolygons(Polygons polys,
PolyFillType fillType = PolyFillType.pftEvenOdd)
{
Polygons result = new Polygons();
Clipper c = new Clipper();
c.ForceSimple = true;
c.AddPolygons(polys, PolyType.ptSubject);
c.Execute(ClipType.ctUnion, result, fillType, fillType);
return result;
}
//------------------------------------------------------------------------------
private static double DistanceSqrd(IntPoint pt1, IntPoint pt2)
{
double dx = ((double)pt1.X - pt2.X);
double dy = ((double)pt1.Y - pt2.Y);
return (dx*dx + dy*dy);
}
//------------------------------------------------------------------------------
private static DoublePoint ClosestPointOnLine(IntPoint pt, IntPoint linePt1, IntPoint linePt2)
{
double dx = ((double)linePt2.X - linePt1.X);
double dy = ((double)linePt2.Y - linePt1.Y);
if (dx == 0 && dy == 0)
return new DoublePoint(linePt1.X, linePt1.Y);
double q = ((pt.X-linePt1.X)*dx + (pt.Y-linePt1.Y)*dy) / (dx*dx + dy*dy);
return new DoublePoint(
(1-q)*linePt1.X + q*linePt2.X,
(1-q)*linePt1.Y + q*linePt2.Y);
}
//------------------------------------------------------------------------------
private static bool SlopesNearColinear(IntPoint pt1,
IntPoint pt2, IntPoint pt3, double distSqrd)
{
if (DistanceSqrd(pt1, pt2) > DistanceSqrd(pt1, pt3)) return false;
DoublePoint cpol = ClosestPointOnLine(pt2, pt1, pt3);
double dx = pt2.X - cpol.X;
double dy = pt2.Y - cpol.Y;
return (dx*dx + dy*dy) < distSqrd;
}
//------------------------------------------------------------------------------
private static bool PointsAreClose(IntPoint pt1, IntPoint pt2, double distSqrd)
{
double dx = (double)pt1.X - pt2.X;
double dy = (double)pt1.Y - pt2.Y;
return ((dx * dx) + (dy * dy) <= distSqrd);
}
//------------------------------------------------------------------------------
public static Polygon CleanPolygon(Polygon poly,
double distance = 1.415)
{
//distance = proximity in units/pixels below which vertices
//will be stripped. Default ~= sqrt(2) so when adjacent
//vertices have both x & y coords within 1 unit, then
//the second vertex will be stripped.
double distSqrd = (distance * distance);
int highI = poly.Count -1;
Polygon result = new Polygon(highI + 1);
while (highI > 0 && PointsAreClose(poly[highI], poly[0], distSqrd)) highI--;
if (highI < 2) return result;
IntPoint pt = poly[highI];
int i = 0;
for (;;)
{
while (i < highI && PointsAreClose(pt, poly[i], distSqrd)) i+=2;
int i2 = i;
while (i < highI && (PointsAreClose(poly[i], poly[i + 1], distSqrd) ||
SlopesNearColinear(pt, poly[i], poly[i + 1], distSqrd))) i++;
if (i >= highI) break;
else if (i != i2) continue;
pt = poly[i++];
result.Add(pt);
}
if (i <= highI) result.Add(poly[i]);
i = result.Count;
if (i > 2 && SlopesNearColinear(result[i - 2], result[i - 1], result[0], distSqrd))
result.RemoveAt(i -1);
if (result.Count < 3) result.Clear();
return result;
}
//------------------------------------------------------------------------------
public static Polygons CleanPolygons(Polygons polys,
double distance = 1.415)
{
Polygons result = new Polygons(polys.Count);
for (int i = 0; i < polys.Count; i++)
result.Add(CleanPolygon(polys[i], distance));
return result;
}
//------------------------------------------------------------------------------
public static void PolyTreeToPolygons(PolyTree polytree, Polygons polygons)
{
polygons.Clear();
polygons.Capacity = polytree.Total;
AddPolyNodeToPolygons(polytree, polygons);
}
//------------------------------------------------------------------------------
public static void AddPolyNodeToPolygons(PolyNode polynode, Polygons polygons)
{
if (polynode.Contour.Count > 0)
polygons.Add(polynode.Contour);
foreach (PolyNode pn in polynode.Childs)
AddPolyNodeToPolygons(pn, polygons);
}
//------------------------------------------------------------------------------
} //end ClipperLib namespace
class ClipperException : Exception
{
public ClipperException(string description) : base(description){}
}
//------------------------------------------------------------------------------
}
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