PrusaSlicer-NonPlainar/xs/src/clipper.cpp
bubnikv bd9ee88e2f Fix of https://github.com/prusa3d/Slic3r/issues/214
Dent in perimeters around a hole

Clipper Offset has been extended to remove tiny edges before the offset.
This is important as the tiny edges pose difficulty
for normal calculation, leading to various adverse effects like
kinks and dents in the offsetted contour.
2017-04-04 11:17:25 +02:00

4347 lines
134 KiB
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/*******************************************************************************
* *
* Author : Angus Johnson *
* Version : 6.2.9 *
* Date : 16 February 2015 *
* Website : http://www.angusj.com *
* Copyright : Angus Johnson 2010-2015 *
* *
* License: *
* Use, modification & distribution is subject to Boost Software License Ver 1. *
* http://www.boost.org/LICENSE_1_0.txt *
* *
* Attributions: *
* The code in this library is an extension of Bala Vatti's clipping algorithm: *
* "A generic solution to polygon clipping" *
* Communications of the ACM, Vol 35, Issue 7 (July 1992) pp 56-63. *
* http://portal.acm.org/citation.cfm?id=129906 *
* *
* Computer graphics and geometric modeling: implementation and algorithms *
* By Max K. Agoston *
* Springer; 1 edition (January 4, 2005) *
* http://books.google.com/books?q=vatti+clipping+agoston *
* *
* See also: *
* "Polygon Offsetting by Computing Winding Numbers" *
* Paper no. DETC2005-85513 pp. 565-575 *
* ASME 2005 International Design Engineering Technical Conferences *
* and Computers and Information in Engineering Conference (IDETC/CIE2005) *
* September 24-28, 2005 , Long Beach, California, USA *
* http://www.me.berkeley.edu/~mcmains/pubs/DAC05OffsetPolygon.pdf *
* *
*******************************************************************************/
/*******************************************************************************
* *
* This is a translation of the Delphi Clipper library and the naming style *
* used has retained a Delphi flavour. *
* *
*******************************************************************************/
#include "clipper.hpp"
#include <cmath>
#include <vector>
#include <algorithm>
#include <stdexcept>
#include <cstring>
#include <cstdlib>
#include <ostream>
#include <functional>
#include <assert.h>
#include <Shiny/Shiny.h>
namespace ClipperLib {
static double const pi = 3.141592653589793238;
static double const two_pi = pi *2;
static double const def_arc_tolerance = 0.25;
enum Direction { dRightToLeft, dLeftToRight };
static int const Unassigned = -1; //edge not currently 'owning' a solution
static int const Skip = -2; //edge that would otherwise close a path
#define HORIZONTAL (-1.0E+40)
#define TOLERANCE (1.0e-20)
#define NEAR_ZERO(val) (((val) > -TOLERANCE) && ((val) < TOLERANCE))
// Output polygon.
struct OutRec {
int Idx;
bool IsHole;
bool IsOpen;
//The 'FirstLeft' field points to another OutRec that contains or is the
//'parent' of OutRec. It is 'first left' because the ActiveEdgeList (AEL) is
//parsed left from the current edge (owning OutRec) until the owner OutRec
//is found. This field simplifies sorting the polygons into a tree structure
//which reflects the parent/child relationships of all polygons.
//This field should be renamed Parent, and will be later.
OutRec *FirstLeft;
// Used only by void Clipper::BuildResult2(PolyTree& polytree)
PolyNode *PolyNd;
// Linked list of output points, dynamically allocated.
OutPt *Pts;
OutPt *BottomPt;
};
//------------------------------------------------------------------------------
inline cInt Round(double val)
{
return static_cast<cInt>((val < 0) ? (val - 0.5) : (val + 0.5));
}
//------------------------------------------------------------------------------
// PolyTree methods ...
//------------------------------------------------------------------------------
int PolyTree::Total() const
{
int result = (int)AllNodes.size();
//with negative offsets, ignore the hidden outer polygon ...
if (result > 0 && Childs.front() != &AllNodes.front()) result--;
return result;
}
//------------------------------------------------------------------------------
// PolyNode methods ...
//------------------------------------------------------------------------------
void PolyNode::AddChild(PolyNode& child)
{
unsigned cnt = (unsigned)Childs.size();
Childs.push_back(&child);
child.Parent = this;
child.Index = cnt;
}
//------------------------------------------------------------------------------
// Edge delimits a hole if it has an odd number of parent loops.
bool PolyNode::IsHole() const
{
bool result = true;
PolyNode* node = Parent;
while (node)
{
result = !result;
node = node->Parent;
}
return result;
}
//------------------------------------------------------------------------------
#ifndef use_int32
//------------------------------------------------------------------------------
// Int128 class (enables safe math on signed 64bit integers)
// eg Int128 val1((long64)9223372036854775807); //ie 2^63 -1
// Int128 val2((long64)9223372036854775807);
// Int128 val3 = val1 * val2;
// val3.AsString => "85070591730234615847396907784232501249" (8.5e+37)
//------------------------------------------------------------------------------
class Int128
{
public:
ulong64 lo;
long64 hi;
Int128(long64 _lo = 0)
{
lo = (ulong64)_lo;
if (_lo < 0) hi = -1; else hi = 0;
}
Int128(const Int128 &val): lo(val.lo), hi(val.hi){}
Int128(const long64& _hi, const ulong64& _lo): lo(_lo), hi(_hi){}
Int128& operator = (const long64 &val)
{
lo = (ulong64)val;
if (val < 0) hi = -1; else hi = 0;
return *this;
}
bool operator == (const Int128 &val) const
{return (hi == val.hi && lo == val.lo);}
bool operator != (const Int128 &val) const
{ return !(*this == val);}
bool operator > (const Int128 &val) const
{
if (hi != val.hi)
return hi > val.hi;
else
return lo > val.lo;
}
bool operator < (const Int128 &val) const
{
if (hi != val.hi)
return hi < val.hi;
else
return lo < val.lo;
}
bool operator >= (const Int128 &val) const
{ return !(*this < val);}
bool operator <= (const Int128 &val) const
{ return !(*this > val);}
Int128& operator += (const Int128 &rhs)
{
hi += rhs.hi;
lo += rhs.lo;
if (lo < rhs.lo) hi++;
return *this;
}
Int128 operator + (const Int128 &rhs) const
{
Int128 result(*this);
result+= rhs;
return result;
}
Int128& operator -= (const Int128 &rhs)
{
*this += -rhs;
return *this;
}
Int128 operator - (const Int128 &rhs) const
{
Int128 result(*this);
result -= rhs;
return result;
}
Int128 operator-() const //unary negation
{
if (lo == 0)
return Int128(-hi, 0);
else
return Int128(~hi, ~lo + 1);
}
operator double() const
{
const double shift64 = 18446744073709551616.0; //2^64
if (hi < 0)
{
if (lo == 0) return (double)hi * shift64;
else return -(double)(~lo + ~hi * shift64);
}
else
return (double)(lo + hi * shift64);
}
};
//------------------------------------------------------------------------------
inline Int128 Int128Mul (long64 lhs, long64 rhs)
{
bool negate = (lhs < 0) != (rhs < 0);
if (lhs < 0) lhs = -lhs;
ulong64 int1Hi = ulong64(lhs) >> 32;
ulong64 int1Lo = ulong64(lhs & 0xFFFFFFFF);
if (rhs < 0) rhs = -rhs;
ulong64 int2Hi = ulong64(rhs) >> 32;
ulong64 int2Lo = ulong64(rhs & 0xFFFFFFFF);
//because the high (sign) bits in both int1Hi & int2Hi have been zeroed,
//there's no risk of 64 bit overflow in the following assignment
//(ie: $7FFFFFFF*$FFFFFFFF + $7FFFFFFF*$FFFFFFFF < 64bits)
ulong64 a = int1Hi * int2Hi;
ulong64 b = int1Lo * int2Lo;
//Result = A shl 64 + C shl 32 + B ...
ulong64 c = int1Hi * int2Lo + int1Lo * int2Hi;
Int128 tmp;
tmp.hi = long64(a + (c >> 32));
tmp.lo = long64(c << 32);
tmp.lo += long64(b);
if (tmp.lo < b) tmp.hi++;
if (negate) tmp = -tmp;
return tmp;
};
#endif
//------------------------------------------------------------------------------
// Miscellaneous global functions
//------------------------------------------------------------------------------
double Area(const Path &poly)
{
int size = (int)poly.size();
if (size < 3) return 0;
double a = 0;
for (int i = 0, j = size -1; i < size; ++i)
{
a += ((double)poly[j].X + poly[i].X) * ((double)poly[j].Y - poly[i].Y);
j = i;
}
return -a * 0.5;
}
//------------------------------------------------------------------------------
double Area(const OutRec &outRec)
{
OutPt *op = outRec.Pts;
if (!op) return 0;
double a = 0;
do {
a += (double)(op->Prev->Pt.X + op->Pt.X) * (double)(op->Prev->Pt.Y - op->Pt.Y);
op = op->Next;
} while (op != outRec.Pts);
return a * 0.5;
}
//------------------------------------------------------------------------------
bool PointIsVertex(const IntPoint &Pt, OutPt *pp)
{
OutPt *pp2 = pp;
do
{
if (pp2->Pt == Pt) return true;
pp2 = pp2->Next;
}
while (pp2 != pp);
return false;
}
//------------------------------------------------------------------------------
//See "The Point in Polygon Problem for Arbitrary Polygons" by Hormann & Agathos
//http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.88.5498&rep=rep1&type=pdf
int PointInPolygon(const IntPoint &pt, const Path &path)
{
//returns 0 if false, +1 if true, -1 if pt ON polygon boundary
int result = 0;
size_t cnt = path.size();
if (cnt < 3) return 0;
IntPoint ip = path[0];
for(size_t i = 1; i <= cnt; ++i)
{
IntPoint ipNext = (i == cnt ? path[0] : path[i]);
if (ipNext.Y == pt.Y)
{
if ((ipNext.X == pt.X) || (ip.Y == pt.Y &&
((ipNext.X > pt.X) == (ip.X < pt.X)))) return -1;
}
if ((ip.Y < pt.Y) != (ipNext.Y < pt.Y))
{
if (ip.X >= pt.X)
{
if (ipNext.X > pt.X) result = 1 - result;
else
{
double d = (double)(ip.X - pt.X) * (ipNext.Y - pt.Y) -
(double)(ipNext.X - pt.X) * (ip.Y - pt.Y);
if (!d) return -1;
if ((d > 0) == (ipNext.Y > ip.Y)) result = 1 - result;
}
} else
{
if (ipNext.X > pt.X)
{
double d = (double)(ip.X - pt.X) * (ipNext.Y - pt.Y) -
(double)(ipNext.X - pt.X) * (ip.Y - pt.Y);
if (!d) return -1;
if ((d > 0) == (ipNext.Y > ip.Y)) result = 1 - result;
}
}
}
ip = ipNext;
}
return result;
}
//------------------------------------------------------------------------------
// Called by Poly2ContainsPoly1()
int PointInPolygon (const IntPoint &pt, OutPt *op)
{
//returns 0 if false, +1 if true, -1 if pt ON polygon boundary
int result = 0;
OutPt* startOp = op;
do
{
if (op->Next->Pt.Y == pt.Y)
{
if ((op->Next->Pt.X == pt.X) || (op->Pt.Y == pt.Y &&
((op->Next->Pt.X > pt.X) == (op->Pt.X < pt.X)))) return -1;
}
if ((op->Pt.Y < pt.Y) != (op->Next->Pt.Y < pt.Y))
{
if (op->Pt.X >= pt.X)
{
if (op->Next->Pt.X > pt.X) result = 1 - result;
else
{
double d = (double)(op->Pt.X - pt.X) * (op->Next->Pt.Y - pt.Y) -
(double)(op->Next->Pt.X - pt.X) * (op->Pt.Y - pt.Y);
if (!d) return -1;
if ((d > 0) == (op->Next->Pt.Y > op->Pt.Y)) result = 1 - result;
}
} else
{
if (op->Next->Pt.X > pt.X)
{
double d = (double)(op->Pt.X - pt.X) * (op->Next->Pt.Y - pt.Y) -
(double)(op->Next->Pt.X - pt.X) * (op->Pt.Y - pt.Y);
if (!d) return -1;
if ((d > 0) == (op->Next->Pt.Y > op->Pt.Y)) result = 1 - result;
}
}
}
op = op->Next;
} while (startOp != op);
return result;
}
//------------------------------------------------------------------------------
// This is potentially very expensive! O(n^2)!
bool Poly2ContainsPoly1(OutPt *OutPt1, OutPt *OutPt2)
{
PROFILE_FUNC();
OutPt* op = OutPt1;
do
{
//nb: PointInPolygon returns 0 if false, +1 if true, -1 if pt on polygon
int res = PointInPolygon(op->Pt, OutPt2);
if (res >= 0) return res > 0;
op = op->Next;
}
while (op != OutPt1);
return true;
}
//----------------------------------------------------------------------
inline bool SlopesEqual(const TEdge &e1, const TEdge &e2, bool UseFullInt64Range)
{
#ifndef use_int32
if (UseFullInt64Range)
return Int128Mul(e1.Delta.Y, e2.Delta.X) == Int128Mul(e1.Delta.X, e2.Delta.Y);
else
#endif
return e1.Delta.Y * e2.Delta.X == e1.Delta.X * e2.Delta.Y;
}
//------------------------------------------------------------------------------
inline bool SlopesEqual(const IntPoint &pt1, const IntPoint &pt2,
const IntPoint &pt3, bool UseFullInt64Range)
{
#ifndef use_int32
if (UseFullInt64Range)
return Int128Mul(pt1.Y-pt2.Y, pt2.X-pt3.X) == Int128Mul(pt1.X-pt2.X, pt2.Y-pt3.Y);
else
#endif
return (pt1.Y-pt2.Y)*(pt2.X-pt3.X) == (pt1.X-pt2.X)*(pt2.Y-pt3.Y);
}
//------------------------------------------------------------------------------
inline bool SlopesEqual(const IntPoint &pt1, const IntPoint &pt2,
const IntPoint &pt3, const IntPoint &pt4, bool UseFullInt64Range)
{
#ifndef use_int32
if (UseFullInt64Range)
return Int128Mul(pt1.Y-pt2.Y, pt3.X-pt4.X) == Int128Mul(pt1.X-pt2.X, pt3.Y-pt4.Y);
else
#endif
return (pt1.Y-pt2.Y)*(pt3.X-pt4.X) == (pt1.X-pt2.X)*(pt3.Y-pt4.Y);
}
//------------------------------------------------------------------------------
inline bool IsHorizontal(TEdge &e)
{
return e.Delta.Y == 0;
}
//------------------------------------------------------------------------------
inline double GetDx(const IntPoint &pt1, const IntPoint &pt2)
{
return (pt1.Y == pt2.Y) ?
HORIZONTAL : (double)(pt2.X - pt1.X) / (pt2.Y - pt1.Y);
}
//---------------------------------------------------------------------------
inline cInt TopX(TEdge &edge, const cInt currentY)
{
return ( currentY == edge.Top.Y ) ?
edge.Top.X : edge.Bot.X + Round(edge.Dx *(currentY - edge.Bot.Y));
}
//------------------------------------------------------------------------------
void IntersectPoint(TEdge &Edge1, TEdge &Edge2, IntPoint &ip)
{
#ifdef use_xyz
ip.Z = 0;
#endif
double b1, b2;
if (Edge1.Dx == Edge2.Dx)
{
ip.Y = Edge1.Curr.Y;
ip.X = TopX(Edge1, ip.Y);
return;
}
else if (Edge1.Delta.X == 0)
{
ip.X = Edge1.Bot.X;
if (IsHorizontal(Edge2))
ip.Y = Edge2.Bot.Y;
else
{
b2 = Edge2.Bot.Y - (Edge2.Bot.X / Edge2.Dx);
ip.Y = Round(ip.X / Edge2.Dx + b2);
}
}
else if (Edge2.Delta.X == 0)
{
ip.X = Edge2.Bot.X;
if (IsHorizontal(Edge1))
ip.Y = Edge1.Bot.Y;
else
{
b1 = Edge1.Bot.Y - (Edge1.Bot.X / Edge1.Dx);
ip.Y = Round(ip.X / Edge1.Dx + b1);
}
}
else
{
b1 = Edge1.Bot.X - Edge1.Bot.Y * Edge1.Dx;
b2 = Edge2.Bot.X - Edge2.Bot.Y * Edge2.Dx;
double q = (b2-b1) / (Edge1.Dx - Edge2.Dx);
ip.Y = Round(q);
if (std::fabs(Edge1.Dx) < std::fabs(Edge2.Dx))
ip.X = Round(Edge1.Dx * q + b1);
else
ip.X = Round(Edge2.Dx * q + b2);
}
if (ip.Y < Edge1.Top.Y || ip.Y < Edge2.Top.Y)
{
if (Edge1.Top.Y > Edge2.Top.Y)
ip.Y = Edge1.Top.Y;
else
ip.Y = Edge2.Top.Y;
if (std::fabs(Edge1.Dx) < std::fabs(Edge2.Dx))
ip.X = TopX(Edge1, ip.Y);
else
ip.X = TopX(Edge2, ip.Y);
}
//finally, don't allow 'ip' to be BELOW curr.Y (ie bottom of scanbeam) ...
if (ip.Y > Edge1.Curr.Y)
{
ip.Y = Edge1.Curr.Y;
//use the more vertical edge to derive X ...
if (std::fabs(Edge1.Dx) > std::fabs(Edge2.Dx))
ip.X = TopX(Edge2, ip.Y); else
ip.X = TopX(Edge1, ip.Y);
}
}
//------------------------------------------------------------------------------
// Reverse a linked loop of points representing a closed polygon.
// This has a time complexity of O(n)
void ReversePolyPtLinks(OutPt *pp)
{
if (!pp) return;
OutPt *pp1 = pp;
do {
OutPt *pp2 = pp1->Next;
pp1->Next = pp1->Prev;
pp1->Prev = pp2;
pp1 = pp2;
} while( pp1 != pp );
}
//------------------------------------------------------------------------------
inline void InitEdge(TEdge* e, TEdge* eNext, TEdge* ePrev, const IntPoint& Pt)
{
std::memset(e, 0, sizeof(TEdge));
e->Next = eNext;
e->Prev = ePrev;
e->Curr = Pt;
e->OutIdx = Unassigned;
}
//------------------------------------------------------------------------------
void InitEdge2(TEdge& e, PolyType Pt)
{
if (e.Curr.Y >= e.Next->Curr.Y)
{
e.Bot = e.Curr;
e.Top = e.Next->Curr;
} else
{
e.Top = e.Curr;
e.Bot = e.Next->Curr;
}
e.Delta.X = (e.Top.X - e.Bot.X);
e.Delta.Y = (e.Top.Y - e.Bot.Y);
if (e.Delta.Y == 0) e.Dx = HORIZONTAL;
else e.Dx = (double)(e.Delta.X) / e.Delta.Y;
e.PolyTyp = Pt;
}
//------------------------------------------------------------------------------
// Called from ClipperBase::AddPathInternal() to remove collinear and duplicate points.
inline TEdge* RemoveEdge(TEdge* e)
{
//removes e from double_linked_list (but without removing from memory)
e->Prev->Next = e->Next;
e->Next->Prev = e->Prev;
TEdge* result = e->Next;
e->Prev = 0; //flag as removed (see ClipperBase.Clear)
return result;
}
//------------------------------------------------------------------------------
inline void ReverseHorizontal(TEdge &e)
{
//swap horizontal edges' Top and Bottom x's so they follow the natural
//progression of the bounds - ie so their xbots will align with the
//adjoining lower edge. [Helpful in the ProcessHorizontal() method.]
std::swap(e.Top.X, e.Bot.X);
#ifdef use_xyz
std::swap(e.Top.Z, e.Bot.Z);
#endif
}
//------------------------------------------------------------------------------
bool GetOverlapSegment(IntPoint pt1a, IntPoint pt1b, IntPoint pt2a,
IntPoint pt2b, IntPoint &pt1, IntPoint &pt2)
{
//precondition: segments are Collinear.
if (std::abs(pt1a.X - pt1b.X) > std::abs(pt1a.Y - pt1b.Y))
{
if (pt1a.X > pt1b.X) std::swap(pt1a, pt1b);
if (pt2a.X > pt2b.X) std::swap(pt2a, pt2b);
if (pt1a.X > pt2a.X) pt1 = pt1a; else pt1 = pt2a;
if (pt1b.X < pt2b.X) pt2 = pt1b; else pt2 = pt2b;
return pt1.X < pt2.X;
} else
{
if (pt1a.Y < pt1b.Y) std::swap(pt1a, pt1b);
if (pt2a.Y < pt2b.Y) std::swap(pt2a, pt2b);
if (pt1a.Y < pt2a.Y) pt1 = pt1a; else pt1 = pt2a;
if (pt1b.Y > pt2b.Y) pt2 = pt1b; else pt2 = pt2b;
return pt1.Y > pt2.Y;
}
}
//------------------------------------------------------------------------------
bool FirstIsBottomPt(const OutPt* btmPt1, const OutPt* btmPt2)
{
OutPt *p = btmPt1->Prev;
while ((p->Pt == btmPt1->Pt) && (p != btmPt1)) p = p->Prev;
double dx1p = std::fabs(GetDx(btmPt1->Pt, p->Pt));
p = btmPt1->Next;
while ((p->Pt == btmPt1->Pt) && (p != btmPt1)) p = p->Next;
double dx1n = std::fabs(GetDx(btmPt1->Pt, p->Pt));
p = btmPt2->Prev;
while ((p->Pt == btmPt2->Pt) && (p != btmPt2)) p = p->Prev;
double dx2p = std::fabs(GetDx(btmPt2->Pt, p->Pt));
p = btmPt2->Next;
while ((p->Pt == btmPt2->Pt) && (p != btmPt2)) p = p->Next;
double dx2n = std::fabs(GetDx(btmPt2->Pt, p->Pt));
return (dx1p >= dx2p && dx1p >= dx2n) || (dx1n >= dx2p && dx1n >= dx2n);
}
//------------------------------------------------------------------------------
// Called by GetLowermostRec()
OutPt* GetBottomPt(OutPt *pp)
{
OutPt* dups = 0;
OutPt* p = pp->Next;
while (p != pp)
{
if (p->Pt.Y > pp->Pt.Y)
{
pp = p;
dups = 0;
}
else if (p->Pt.Y == pp->Pt.Y && p->Pt.X <= pp->Pt.X)
{
if (p->Pt.X < pp->Pt.X)
{
dups = 0;
pp = p;
} else
{
if (p->Next != pp && p->Prev != pp) dups = p;
}
}
p = p->Next;
}
if (dups)
{
//there appears to be at least 2 vertices at BottomPt so ...
while (dups != p)
{
if (!FirstIsBottomPt(p, dups)) pp = dups;
dups = dups->Next;
while (dups->Pt != pp->Pt) dups = dups->Next;
}
}
return pp;
}
//------------------------------------------------------------------------------
bool Pt2IsBetweenPt1AndPt3(const IntPoint &pt1,
const IntPoint &pt2, const IntPoint &pt3)
{
if ((pt1 == pt3) || (pt1 == pt2) || (pt3 == pt2))
return false;
else if (pt1.X != pt3.X)
return (pt2.X > pt1.X) == (pt2.X < pt3.X);
else
return (pt2.Y > pt1.Y) == (pt2.Y < pt3.Y);
}
//------------------------------------------------------------------------------
bool HorzSegmentsOverlap(cInt seg1a, cInt seg1b, cInt seg2a, cInt seg2b)
{
if (seg1a > seg1b) std::swap(seg1a, seg1b);
if (seg2a > seg2b) std::swap(seg2a, seg2b);
return (seg1a < seg2b) && (seg2a < seg1b);
}
//------------------------------------------------------------------------------
// ClipperBase class methods ...
//------------------------------------------------------------------------------
// Called from ClipperBase::AddPath() to verify the scale of the input polygon coordinates.
inline void RangeTest(const IntPoint& Pt, bool& useFullRange)
{
if (useFullRange)
{
if (Pt.X > hiRange || Pt.Y > hiRange || -Pt.X > hiRange || -Pt.Y > hiRange)
throw "Coordinate outside allowed range";
}
else if (Pt.X > loRange|| Pt.Y > loRange || -Pt.X > loRange || -Pt.Y > loRange)
{
useFullRange = true;
RangeTest(Pt, useFullRange);
}
}
//------------------------------------------------------------------------------
// Called from ClipperBase::AddPath() to construct the Local Minima List.
// Find a local minimum edge on the path starting with E.
inline TEdge* FindNextLocMin(TEdge* E)
{
for (;;)
{
while (E->Bot != E->Prev->Bot || E->Curr == E->Top) E = E->Next;
if (!IsHorizontal(*E) && !IsHorizontal(*E->Prev)) break;
while (IsHorizontal(*E->Prev)) E = E->Prev;
TEdge* E2 = E;
while (IsHorizontal(*E)) E = E->Next;
if (E->Top.Y == E->Prev->Bot.Y) continue; //ie just an intermediate horz.
if (E2->Prev->Bot.X < E->Bot.X) E = E2;
break;
}
return E;
}
//------------------------------------------------------------------------------
// Called from ClipperBase::AddPath().
TEdge* ClipperBase::ProcessBound(TEdge* E, bool NextIsForward)
{
TEdge *Result = E;
TEdge *Horz = 0;
if (E->OutIdx == Skip)
{
//if edges still remain in the current bound beyond the skip edge then
//create another LocMin and call ProcessBound once more
if (NextIsForward)
{
while (E->Top.Y == E->Next->Bot.Y) E = E->Next;
//don't include top horizontals when parsing a bound a second time,
//they will be contained in the opposite bound ...
while (E != Result && IsHorizontal(*E)) E = E->Prev;
}
else
{
while (E->Top.Y == E->Prev->Bot.Y) E = E->Prev;
while (E != Result && IsHorizontal(*E)) E = E->Next;
}
if (E == Result)
{
if (NextIsForward) Result = E->Next;
else Result = E->Prev;
}
else
{
//there are more edges in the bound beyond result starting with E
if (NextIsForward)
E = Result->Next;
else
E = Result->Prev;
LocalMinimum locMin;
locMin.Y = E->Bot.Y;
locMin.LeftBound = 0;
locMin.RightBound = E;
E->WindDelta = 0;
Result = ProcessBound(E, NextIsForward);
m_MinimaList.push_back(locMin);
}
return Result;
}
TEdge *EStart;
if (IsHorizontal(*E))
{
//We need to be careful with open paths because this may not be a
//true local minima (ie E may be following a skip edge).
//Also, consecutive horz. edges may start heading left before going right.
if (NextIsForward)
EStart = E->Prev;
else
EStart = E->Next;
if (IsHorizontal(*EStart)) //ie an adjoining horizontal skip edge
{
if (EStart->Bot.X != E->Bot.X && EStart->Top.X != E->Bot.X)
ReverseHorizontal(*E);
}
else if (EStart->Bot.X != E->Bot.X)
ReverseHorizontal(*E);
}
EStart = E;
if (NextIsForward)
{
while (Result->Top.Y == Result->Next->Bot.Y && Result->Next->OutIdx != Skip)
Result = Result->Next;
if (IsHorizontal(*Result) && Result->Next->OutIdx != Skip)
{
//nb: at the top of a bound, horizontals are added to the bound
//only when the preceding edge attaches to the horizontal's left vertex
//unless a Skip edge is encountered when that becomes the top divide
Horz = Result;
while (IsHorizontal(*Horz->Prev)) Horz = Horz->Prev;
if (Horz->Prev->Top.X > Result->Next->Top.X) Result = Horz->Prev;
}
while (E != Result)
{
E->NextInLML = E->Next;
if (IsHorizontal(*E) && E != EStart &&
E->Bot.X != E->Prev->Top.X) ReverseHorizontal(*E);
E = E->Next;
}
if (IsHorizontal(*E) && E != EStart && E->Bot.X != E->Prev->Top.X)
ReverseHorizontal(*E);
Result = Result->Next; //move to the edge just beyond current bound
} else
{
while (Result->Top.Y == Result->Prev->Bot.Y && Result->Prev->OutIdx != Skip)
Result = Result->Prev;
if (IsHorizontal(*Result) && Result->Prev->OutIdx != Skip)
{
Horz = Result;
while (IsHorizontal(*Horz->Next)) Horz = Horz->Next;
if (Horz->Next->Top.X == Result->Prev->Top.X ||
Horz->Next->Top.X > Result->Prev->Top.X) Result = Horz->Next;
}
while (E != Result)
{
E->NextInLML = E->Prev;
if (IsHorizontal(*E) && E != EStart && E->Bot.X != E->Next->Top.X)
ReverseHorizontal(*E);
E = E->Prev;
}
if (IsHorizontal(*E) && E != EStart && E->Bot.X != E->Next->Top.X)
ReverseHorizontal(*E);
Result = Result->Prev; //move to the edge just beyond current bound
}
return Result;
}
//------------------------------------------------------------------------------
bool ClipperBase::AddPath(const Path &pg, PolyType PolyTyp, bool Closed)
{
PROFILE_FUNC();
// Remove duplicate end point from a closed input path.
// Remove duplicate points from the end of the input path.
int highI = (int)pg.size() -1;
if (Closed)
while (highI > 0 && (pg[highI] == pg[0]))
--highI;
while (highI > 0 && (pg[highI] == pg[highI -1]))
--highI;
if ((Closed && highI < 2) || (!Closed && highI < 1))
return false;
// Allocate a new edge array.
std::vector<TEdge> edges(highI + 1);
// Fill in the edge array.
bool result = AddPathInternal(pg, highI, PolyTyp, Closed, edges.data());
if (result)
// Success, remember the edge array.
m_edges.emplace_back(std::move(edges));
return result;
}
bool ClipperBase::AddPaths(const Paths &ppg, PolyType PolyTyp, bool Closed)
{
PROFILE_FUNC();
std::vector<int> num_edges(ppg.size(), 0);
int num_edges_total = 0;
for (size_t i = 0; i < ppg.size(); ++ i) {
const Path &pg = ppg[i];
// Remove duplicate end point from a closed input path.
// Remove duplicate points from the end of the input path.
int highI = (int)pg.size() -1;
if (Closed)
while (highI > 0 && (pg[highI] == pg[0]))
--highI;
while (highI > 0 && (pg[highI] == pg[highI -1]))
--highI;
if ((Closed && highI < 2) || (!Closed && highI < 1))
highI = -1;
num_edges[i] = highI + 1;
num_edges_total += highI + 1;
}
if (num_edges_total == 0)
return false;
// Allocate a new edge array.
std::vector<TEdge> edges(num_edges_total);
// Fill in the edge array.
bool result = false;
TEdge *p_edge = edges.data();
for (Paths::size_type i = 0; i < ppg.size(); ++i)
if (num_edges[i]) {
bool res = AddPathInternal(ppg[i], num_edges[i] - 1, PolyTyp, Closed, p_edge);
if (res) {
p_edge += num_edges[i];
result = true;
}
}
if (result)
// At least some edges were generated. Remember the edge array.
m_edges.emplace_back(std::move(edges));
return result;
}
bool ClipperBase::AddPathInternal(const Path &pg, int highI, PolyType PolyTyp, bool Closed, TEdge* edges)
{
PROFILE_FUNC();
#ifdef use_lines
if (!Closed && PolyTyp == ptClip)
throw clipperException("AddPath: Open paths must be subject.");
#else
if (!Closed)
throw clipperException("AddPath: Open paths have been disabled.");
#endif
assert(highI >= 0 && highI < pg.size());
//1. Basic (first) edge initialization ...
try
{
edges[1].Curr = pg[1];
RangeTest(pg[0], m_UseFullRange);
RangeTest(pg[highI], m_UseFullRange);
InitEdge(&edges[0], &edges[1], &edges[highI], pg[0]);
InitEdge(&edges[highI], &edges[0], &edges[highI-1], pg[highI]);
for (int i = highI - 1; i >= 1; --i)
{
RangeTest(pg[i], m_UseFullRange);
InitEdge(&edges[i], &edges[i+1], &edges[i-1], pg[i]);
}
}
catch(...)
{
throw; //range test fails
}
TEdge *eStart = &edges[0];
//2. Remove duplicate vertices, and (when closed) collinear edges ...
TEdge *E = eStart, *eLoopStop = eStart;
for (;;)
{
//nb: allows matching start and end points when not Closed ...
if (E->Curr == E->Next->Curr && (Closed || E->Next != eStart))
{
if (E == E->Next) break;
if (E == eStart) eStart = E->Next;
E = RemoveEdge(E);
eLoopStop = E;
continue;
}
if (E->Prev == E->Next)
break; //only two vertices
else if (Closed &&
SlopesEqual(E->Prev->Curr, E->Curr, E->Next->Curr, m_UseFullRange) &&
(!m_PreserveCollinear ||
!Pt2IsBetweenPt1AndPt3(E->Prev->Curr, E->Curr, E->Next->Curr)))
{
//Collinear edges are allowed for open paths but in closed paths
//the default is to merge adjacent collinear edges into a single edge.
//However, if the PreserveCollinear property is enabled, only overlapping
//collinear edges (ie spikes) will be removed from closed paths.
if (E == eStart) eStart = E->Next;
E = RemoveEdge(E);
E = E->Prev;
eLoopStop = E;
continue;
}
E = E->Next;
if ((E == eLoopStop) || (!Closed && E->Next == eStart)) break;
}
if ((!Closed && (E == E->Next)) || (Closed && (E->Prev == E->Next)))
{
return false;
}
if (!Closed)
{
m_HasOpenPaths = true;
eStart->Prev->OutIdx = Skip;
}
//3. Do second stage of edge initialization ...
// IsFlat means all vertices have the same Y coordinate.
bool IsFlat = true;
E = eStart;
do
{
InitEdge2(*E, PolyTyp);
E = E->Next;
if (IsFlat && E->Curr.Y != eStart->Curr.Y) IsFlat = false;
}
while (E != eStart);
//4. Finally, add edge bounds to LocalMinima list ...
//Totally flat paths must be handled differently when adding them
//to LocalMinima list to avoid endless loops etc ...
if (IsFlat)
{
if (Closed)
{
return false;
}
E->Prev->OutIdx = Skip;
LocalMinimum locMin;
locMin.Y = E->Bot.Y;
locMin.LeftBound = 0;
locMin.RightBound = E;
locMin.RightBound->Side = esRight;
locMin.RightBound->WindDelta = 0;
for (;;)
{
if (E->Bot.X != E->Prev->Top.X) ReverseHorizontal(*E);
if (E->Next->OutIdx == Skip) break;
E->NextInLML = E->Next;
E = E->Next;
}
m_MinimaList.push_back(locMin);
return true;
}
bool leftBoundIsForward;
TEdge* EMin = 0;
//workaround to avoid an endless loop in the while loop below when
//open paths have matching start and end points ...
if (E->Prev->Bot == E->Prev->Top) E = E->Next;
// Find local minima and store them into a Local Minima List.
// Multiple Local Minima could be created for a single path.
for (;;)
{
E = FindNextLocMin(E);
if (E == EMin) break;
else if (!EMin) EMin = E;
//E and E.Prev now share a local minima (left aligned if horizontal).
//Compare their slopes to find which starts which bound ...
LocalMinimum locMin;
locMin.Y = E->Bot.Y;
if (E->Dx < E->Prev->Dx)
{
locMin.LeftBound = E->Prev;
locMin.RightBound = E;
leftBoundIsForward = false; //Q.nextInLML = Q.prev
} else
{
locMin.LeftBound = E;
locMin.RightBound = E->Prev;
leftBoundIsForward = true; //Q.nextInLML = Q.next
}
locMin.LeftBound->Side = esLeft;
locMin.RightBound->Side = esRight;
if (!Closed) locMin.LeftBound->WindDelta = 0;
else if (locMin.LeftBound->Next == locMin.RightBound)
locMin.LeftBound->WindDelta = -1;
else locMin.LeftBound->WindDelta = 1;
locMin.RightBound->WindDelta = -locMin.LeftBound->WindDelta;
E = ProcessBound(locMin.LeftBound, leftBoundIsForward);
if (E->OutIdx == Skip) E = ProcessBound(E, leftBoundIsForward);
TEdge* E2 = ProcessBound(locMin.RightBound, !leftBoundIsForward);
if (E2->OutIdx == Skip) E2 = ProcessBound(E2, !leftBoundIsForward);
if (locMin.LeftBound->OutIdx == Skip)
locMin.LeftBound = 0;
else if (locMin.RightBound->OutIdx == Skip)
locMin.RightBound = 0;
m_MinimaList.push_back(locMin);
if (!leftBoundIsForward) E = E2;
}
return true;
}
//------------------------------------------------------------------------------
void ClipperBase::Clear()
{
PROFILE_FUNC();
m_MinimaList.clear();
m_edges.clear();
m_UseFullRange = false;
m_HasOpenPaths = false;
}
//------------------------------------------------------------------------------
// Initialize the Local Minima List:
// Sort the LML entries, initialize the left / right bound edges of each Local Minima.
void ClipperBase::Reset()
{
PROFILE_FUNC();
if (m_MinimaList.empty()) return; //ie nothing to process
std::sort(m_MinimaList.begin(), m_MinimaList.end(), [](const LocalMinimum& lm1, const LocalMinimum& lm2){ return lm1.Y < lm2.Y; });
//reset all edges ...
for (LocalMinimum &lm : m_MinimaList) {
TEdge* e = lm.LeftBound;
if (e)
{
e->Curr = e->Bot;
e->Side = esLeft;
e->OutIdx = Unassigned;
}
e = lm.RightBound;
if (e)
{
e->Curr = e->Bot;
e->Side = esRight;
e->OutIdx = Unassigned;
}
}
}
//------------------------------------------------------------------------------
// Get bounds of the edges referenced by the Local Minima List.
// Returns (0,0,0,0) for an empty rectangle.
IntRect ClipperBase::GetBounds()
{
PROFILE_FUNC();
IntRect result;
auto lm = m_MinimaList.begin();
if (lm == m_MinimaList.end())
{
result.left = result.top = result.right = result.bottom = 0;
return result;
}
result.left = lm->LeftBound->Bot.X;
result.top = lm->LeftBound->Bot.Y;
result.right = lm->LeftBound->Bot.X;
result.bottom = lm->LeftBound->Bot.Y;
while (lm != m_MinimaList.end())
{
result.bottom = std::max(result.bottom, lm->LeftBound->Bot.Y);
TEdge* e = lm->LeftBound;
for (;;) {
TEdge* bottomE = e;
while (e->NextInLML)
{
if (e->Bot.X < result.left) result.left = e->Bot.X;
if (e->Bot.X > result.right) result.right = e->Bot.X;
e = e->NextInLML;
}
result.left = std::min(result.left, e->Bot.X);
result.right = std::max(result.right, e->Bot.X);
result.left = std::min(result.left, e->Top.X);
result.right = std::max(result.right, e->Top.X);
result.top = std::min(result.top, e->Top.Y);
if (bottomE == lm->LeftBound) e = lm->RightBound;
else break;
}
++lm;
}
return result;
}
//------------------------------------------------------------------------------
// TClipper methods ...
//------------------------------------------------------------------------------
Clipper::Clipper(int initOptions) :
ClipperBase(),
m_OutPtsFree(nullptr),
m_OutPtsChunkSize(32),
m_OutPtsChunkLast(32),
m_ActiveEdges(nullptr),
m_SortedEdges(nullptr)
{
m_ReverseOutput = ((initOptions & ioReverseSolution) != 0);
m_StrictSimple = ((initOptions & ioStrictlySimple) != 0);
m_PreserveCollinear = ((initOptions & ioPreserveCollinear) != 0);
m_HasOpenPaths = false;
#ifdef use_xyz
m_ZFill = 0;
#endif
}
//------------------------------------------------------------------------------
void Clipper::Reset()
{
PROFILE_FUNC();
ClipperBase::Reset();
m_Scanbeam = std::priority_queue<cInt>();
m_Maxima.clear();
m_ActiveEdges = 0;
m_SortedEdges = 0;
for (auto lm = m_MinimaList.rbegin(); lm != m_MinimaList.rend(); ++lm)
m_Scanbeam.push(lm->Y);
}
//------------------------------------------------------------------------------
bool Clipper::Execute(ClipType clipType, Paths &solution,
PolyFillType subjFillType, PolyFillType clipFillType)
{
PROFILE_FUNC();
if (m_HasOpenPaths)
throw clipperException("Error: PolyTree struct is needed for open path clipping.");
solution.resize(0);
m_SubjFillType = subjFillType;
m_ClipFillType = clipFillType;
m_ClipType = clipType;
m_UsingPolyTree = false;
bool succeeded = ExecuteInternal();
if (succeeded) BuildResult(solution);
DisposeAllOutRecs();
return succeeded;
}
//------------------------------------------------------------------------------
bool Clipper::Execute(ClipType clipType, PolyTree& polytree,
PolyFillType subjFillType, PolyFillType clipFillType)
{
PROFILE_FUNC();
m_SubjFillType = subjFillType;
m_ClipFillType = clipFillType;
m_ClipType = clipType;
m_UsingPolyTree = true;
bool succeeded = ExecuteInternal();
if (succeeded) BuildResult2(polytree);
DisposeAllOutRecs();
return succeeded;
}
//------------------------------------------------------------------------------
bool Clipper::ExecuteInternal()
{
PROFILE_FUNC();
bool succeeded = true;
try {
PROFILE_BLOCK(Clipper_ExecuteInternal_Process);
Reset();
if (m_MinimaList.empty()) return true;
cInt botY = m_Scanbeam.top();
do { m_Scanbeam.pop(); } while (! m_Scanbeam.empty() && botY == m_Scanbeam.top());
do {
InsertLocalMinimaIntoAEL(botY);
ProcessHorizontals();
m_GhostJoins.clear();
if (m_Scanbeam.empty()) break;
cInt topY = m_Scanbeam.top();
do { m_Scanbeam.pop(); } while (! m_Scanbeam.empty() && topY == m_Scanbeam.top());
succeeded = ProcessIntersections(topY);
if (!succeeded) break;
ProcessEdgesAtTopOfScanbeam(topY);
botY = topY;
} while (!m_Scanbeam.empty() || !m_MinimaList.empty());
}
catch(...)
{
succeeded = false;
}
if (succeeded)
{
PROFILE_BLOCK(Clipper_ExecuteInternal_Fix);
//fix orientations ...
//FIXME Vojtech: Does it not invalidate the loop hierarchy maintained as OutRec::FirstLeft pointers?
//FIXME Vojtech: The area is calculated with floats, it may not be numerically stable!
{
PROFILE_BLOCK(Clipper_ExecuteInternal_Fix_orientations);
for (OutRec *outRec : m_PolyOuts)
if (outRec->Pts && !outRec->IsOpen && (outRec->IsHole ^ m_ReverseOutput) == (Area(*outRec) > 0))
ReversePolyPtLinks(outRec->Pts);
}
JoinCommonEdges();
//unfortunately FixupOutPolygon() must be done after JoinCommonEdges()
{
PROFILE_BLOCK(Clipper_ExecuteInternal_Fix_fixup);
for (OutRec *outRec : m_PolyOuts)
if (outRec->Pts) {
if (outRec->IsOpen)
// Removes duplicate points.
FixupOutPolyline(*outRec);
else
// Removes duplicate points and simplifies consecutive parallel edges by removing the middle vertex.
FixupOutPolygon(*outRec);
}
}
// For each polygon, search for exactly duplicate non-successive points.
// If such a point is found, the loop is split into two pieces.
// Search for the duplicate points is O(n^2)!
// http://www.angusj.com/delphi/clipper/documentation/Docs/Units/ClipperLib/Classes/Clipper/Properties/StrictlySimple.htm
if (m_StrictSimple) DoSimplePolygons();
}
m_Joins.clear();
m_GhostJoins.clear();
return succeeded;
}
//------------------------------------------------------------------------------
OutPt* Clipper::AllocateOutPt()
{
OutPt *pt;
if (m_OutPtsFree) {
// Recycle some of the already released points.
pt = m_OutPtsFree;
m_OutPtsFree = pt->Next;
} else if (m_OutPtsChunkLast < m_OutPtsChunkSize) {
// Get a point from the last chunk.
pt = m_OutPts.back() + (m_OutPtsChunkLast ++);
} else {
// The last chunk is full. Allocate a new one.
m_OutPts.push_back(new OutPt[m_OutPtsChunkSize]);
m_OutPtsChunkLast = 1;
pt = m_OutPts.back();
}
return pt;
}
void Clipper::DisposeAllOutRecs()
{
for (OutPt *pts : m_OutPts)
delete[] pts;
for (OutRec *rec : m_PolyOuts)
delete rec;
m_OutPts.clear();
m_OutPtsFree = nullptr;
m_OutPtsChunkLast = m_OutPtsChunkSize;
m_PolyOuts.clear();
}
//------------------------------------------------------------------------------
void Clipper::SetWindingCount(TEdge &edge) const
{
TEdge *e = edge.PrevInAEL;
//find the edge of the same polytype that immediately preceeds 'edge' in AEL
while (e && ((e->PolyTyp != edge.PolyTyp) || (e->WindDelta == 0))) e = e->PrevInAEL;
if (!e)
{
edge.WindCnt = (edge.WindDelta == 0 ? 1 : edge.WindDelta);
edge.WindCnt2 = 0;
e = m_ActiveEdges; //ie get ready to calc WindCnt2
}
else if (edge.WindDelta == 0 && m_ClipType != ctUnion)
{
edge.WindCnt = 1;
edge.WindCnt2 = e->WindCnt2;
e = e->NextInAEL; //ie get ready to calc WindCnt2
}
else if (IsEvenOddFillType(edge))
{
//EvenOdd filling ...
if (edge.WindDelta == 0)
{
//are we inside a subj polygon ...
bool Inside = true;
TEdge *e2 = e->PrevInAEL;
while (e2)
{
if (e2->PolyTyp == e->PolyTyp && e2->WindDelta != 0)
Inside = !Inside;
e2 = e2->PrevInAEL;
}
edge.WindCnt = (Inside ? 0 : 1);
}
else
{
edge.WindCnt = edge.WindDelta;
}
edge.WindCnt2 = e->WindCnt2;
e = e->NextInAEL; //ie get ready to calc WindCnt2
}
else
{
//nonZero, Positive or Negative filling ...
if (e->WindCnt * e->WindDelta < 0)
{
//prev edge is 'decreasing' WindCount (WC) toward zero
//so we're outside the previous polygon ...
if (std::abs(e->WindCnt) > 1)
{
//outside prev poly but still inside another.
//when reversing direction of prev poly use the same WC
if (e->WindDelta * edge.WindDelta < 0) edge.WindCnt = e->WindCnt;
//otherwise continue to 'decrease' WC ...
else edge.WindCnt = e->WindCnt + edge.WindDelta;
}
else
//now outside all polys of same polytype so set own WC ...
edge.WindCnt = (edge.WindDelta == 0 ? 1 : edge.WindDelta);
} else
{
//prev edge is 'increasing' WindCount (WC) away from zero
//so we're inside the previous polygon ...
if (edge.WindDelta == 0)
edge.WindCnt = (e->WindCnt < 0 ? e->WindCnt - 1 : e->WindCnt + 1);
//if wind direction is reversing prev then use same WC
else if (e->WindDelta * edge.WindDelta < 0) edge.WindCnt = e->WindCnt;
//otherwise add to WC ...
else edge.WindCnt = e->WindCnt + edge.WindDelta;
}
edge.WindCnt2 = e->WindCnt2;
e = e->NextInAEL; //ie get ready to calc WindCnt2
}
//update WindCnt2 ...
if (IsEvenOddAltFillType(edge))
{
//EvenOdd filling ...
while (e != &edge)
{
if (e->WindDelta != 0)
edge.WindCnt2 = (edge.WindCnt2 == 0 ? 1 : 0);
e = e->NextInAEL;
}
} else
{
//nonZero, Positive or Negative filling ...
while ( e != &edge )
{
edge.WindCnt2 += e->WindDelta;
e = e->NextInAEL;
}
}
}
//------------------------------------------------------------------------------
bool Clipper::IsContributing(const TEdge& edge) const
{
PolyFillType pft, pft2;
if (edge.PolyTyp == ptSubject)
{
pft = m_SubjFillType;
pft2 = m_ClipFillType;
} else
{
pft = m_ClipFillType;
pft2 = m_SubjFillType;
}
switch(pft)
{
case pftEvenOdd:
//return false if a subj line has been flagged as inside a subj polygon
if (edge.WindDelta == 0 && edge.WindCnt != 1) return false;
break;
case pftNonZero:
if (std::abs(edge.WindCnt) != 1) return false;
break;
case pftPositive:
if (edge.WindCnt != 1) return false;
break;
default: //pftNegative
if (edge.WindCnt != -1) return false;
}
switch(m_ClipType)
{
case ctIntersection:
switch(pft2)
{
case pftEvenOdd:
case pftNonZero:
return (edge.WindCnt2 != 0);
case pftPositive:
return (edge.WindCnt2 > 0);
default:
return (edge.WindCnt2 < 0);
}
break;
case ctUnion:
switch(pft2)
{
case pftEvenOdd:
case pftNonZero:
return (edge.WindCnt2 == 0);
case pftPositive:
return (edge.WindCnt2 <= 0);
default:
return (edge.WindCnt2 >= 0);
}
break;
case ctDifference:
if (edge.PolyTyp == ptSubject)
switch(pft2)
{
case pftEvenOdd:
case pftNonZero:
return (edge.WindCnt2 == 0);
case pftPositive:
return (edge.WindCnt2 <= 0);
default:
return (edge.WindCnt2 >= 0);
}
else
switch(pft2)
{
case pftEvenOdd:
case pftNonZero:
return (edge.WindCnt2 != 0);
case pftPositive:
return (edge.WindCnt2 > 0);
default:
return (edge.WindCnt2 < 0);
}
break;
case ctXor:
if (edge.WindDelta == 0) //XOr always contributing unless open
switch(pft2)
{
case pftEvenOdd:
case pftNonZero:
return (edge.WindCnt2 == 0);
case pftPositive:
return (edge.WindCnt2 <= 0);
default:
return (edge.WindCnt2 >= 0);
}
else
return true;
break;
default:
return true;
}
}
//------------------------------------------------------------------------------
// Called from Clipper::InsertLocalMinimaIntoAEL() and Clipper::IntersectEdges().
OutPt* Clipper::AddLocalMinPoly(TEdge *e1, TEdge *e2, const IntPoint &Pt)
{
PROFILE_FUNC();
OutPt* result;
TEdge *e, *prevE;
if (IsHorizontal(*e2) || ( e1->Dx > e2->Dx ))
{
result = AddOutPt(e1, Pt);
e2->OutIdx = e1->OutIdx;
e1->Side = esLeft;
e2->Side = esRight;
e = e1;
if (e->PrevInAEL == e2)
prevE = e2->PrevInAEL;
else
prevE = e->PrevInAEL;
} else
{
result = AddOutPt(e2, Pt);
e1->OutIdx = e2->OutIdx;
e1->Side = esRight;
e2->Side = esLeft;
e = e2;
if (e->PrevInAEL == e1)
prevE = e1->PrevInAEL;
else
prevE = e->PrevInAEL;
}
if (prevE && prevE->OutIdx >= 0 &&
(TopX(*prevE, Pt.Y) == TopX(*e, Pt.Y)) &&
SlopesEqual(*e, *prevE, m_UseFullRange) &&
(e->WindDelta != 0) && (prevE->WindDelta != 0))
{
OutPt* outPt = AddOutPt(prevE, Pt);
m_Joins.emplace_back(Join(result, outPt, e->Top));
}
return result;
}
//------------------------------------------------------------------------------
void Clipper::AddLocalMaxPoly(TEdge *e1, TEdge *e2, const IntPoint &Pt)
{
AddOutPt( e1, Pt );
if (e2->WindDelta == 0) AddOutPt(e2, Pt);
if( e1->OutIdx == e2->OutIdx )
{
e1->OutIdx = Unassigned;
e2->OutIdx = Unassigned;
}
else if (e1->OutIdx < e2->OutIdx)
AppendPolygon(e1, e2);
else
AppendPolygon(e2, e1);
}
//------------------------------------------------------------------------------
void Clipper::AddEdgeToSEL(TEdge *edge)
{
//SEL pointers in PEdge are reused to build a list of horizontal edges.
//However, we don't need to worry about order with horizontal edge processing.
if( !m_SortedEdges )
{
m_SortedEdges = edge;
edge->PrevInSEL = 0;
edge->NextInSEL = 0;
}
else
{
edge->NextInSEL = m_SortedEdges;
edge->PrevInSEL = 0;
m_SortedEdges->PrevInSEL = edge;
m_SortedEdges = edge;
}
}
//------------------------------------------------------------------------------
void Clipper::CopyAELToSEL()
{
TEdge* e = m_ActiveEdges;
m_SortedEdges = e;
while ( e )
{
e->PrevInSEL = e->PrevInAEL;
e->NextInSEL = e->NextInAEL;
e = e->NextInAEL;
}
}
//------------------------------------------------------------------------------
// Called from Clipper::ExecuteInternal()
void Clipper::InsertLocalMinimaIntoAEL(const cInt botY)
{
PROFILE_FUNC();
while (!m_MinimaList.empty() && m_MinimaList.back().Y == botY)
{
TEdge* lb = m_MinimaList.back().LeftBound;
TEdge* rb = m_MinimaList.back().RightBound;
m_MinimaList.pop_back();
OutPt *Op1 = 0;
if (!lb)
{
//nb: don't insert LB into either AEL or SEL
InsertEdgeIntoAEL(rb, 0);
SetWindingCount(*rb);
if (IsContributing(*rb))
Op1 = AddOutPt(rb, rb->Bot);
}
else if (!rb)
{
InsertEdgeIntoAEL(lb, 0);
SetWindingCount(*lb);
if (IsContributing(*lb))
Op1 = AddOutPt(lb, lb->Bot);
m_Scanbeam.push(lb->Top.Y);
}
else
{
InsertEdgeIntoAEL(lb, 0);
InsertEdgeIntoAEL(rb, lb);
SetWindingCount( *lb );
rb->WindCnt = lb->WindCnt;
rb->WindCnt2 = lb->WindCnt2;
if (IsContributing(*lb))
Op1 = AddLocalMinPoly(lb, rb, lb->Bot);
m_Scanbeam.push(lb->Top.Y);
}
if (rb)
{
if(IsHorizontal(*rb)) AddEdgeToSEL(rb);
else m_Scanbeam.push(rb->Top.Y);
}
if (!lb || !rb) continue;
//if any output polygons share an edge, they'll need joining later ...
if (Op1 && IsHorizontal(*rb) &&
m_GhostJoins.size() > 0 && (rb->WindDelta != 0))
{
for (Join &jr : m_GhostJoins)
//if the horizontal Rb and a 'ghost' horizontal overlap, then convert
//the 'ghost' join to a real join ready for later ...
if (HorzSegmentsOverlap(jr.OutPt1->Pt.X, jr.OffPt.X, rb->Bot.X, rb->Top.X))
m_Joins.emplace_back(Join(jr.OutPt1, Op1, jr.OffPt));
}
if (lb->OutIdx >= 0 && lb->PrevInAEL &&
lb->PrevInAEL->Curr.X == lb->Bot.X &&
lb->PrevInAEL->OutIdx >= 0 &&
SlopesEqual(*lb->PrevInAEL, *lb, m_UseFullRange) &&
(lb->WindDelta != 0) && (lb->PrevInAEL->WindDelta != 0))
{
OutPt *Op2 = AddOutPt(lb->PrevInAEL, lb->Bot);
m_Joins.emplace_back(Join(Op1, Op2, lb->Top));
}
if(lb->NextInAEL != rb)
{
if (rb->OutIdx >= 0 && rb->PrevInAEL->OutIdx >= 0 &&
SlopesEqual(*rb->PrevInAEL, *rb, m_UseFullRange) &&
(rb->WindDelta != 0) && (rb->PrevInAEL->WindDelta != 0))
{
OutPt *Op2 = AddOutPt(rb->PrevInAEL, rb->Bot);
m_Joins.emplace_back(Join(Op1, Op2, rb->Top));
}
TEdge* e = lb->NextInAEL;
if (e)
{
while( e != rb )
{
//nb: For calculating winding counts etc, IntersectEdges() assumes
//that param1 will be to the Right of param2 ABOVE the intersection ...
IntersectEdges(rb , e , lb->Curr); //order important here
e = e->NextInAEL;
}
}
}
}
}
//------------------------------------------------------------------------------
void Clipper::DeleteFromAEL(TEdge *e)
{
TEdge* AelPrev = e->PrevInAEL;
TEdge* AelNext = e->NextInAEL;
if( !AelPrev && !AelNext && (e != m_ActiveEdges) ) return; //already deleted
if( AelPrev ) AelPrev->NextInAEL = AelNext;
else m_ActiveEdges = AelNext;
if( AelNext ) AelNext->PrevInAEL = AelPrev;
e->NextInAEL = 0;
e->PrevInAEL = 0;
}
//------------------------------------------------------------------------------
void Clipper::DeleteFromSEL(TEdge *e)
{
TEdge* SelPrev = e->PrevInSEL;
TEdge* SelNext = e->NextInSEL;
if( !SelPrev && !SelNext && (e != m_SortedEdges) ) return; //already deleted
if( SelPrev ) SelPrev->NextInSEL = SelNext;
else m_SortedEdges = SelNext;
if( SelNext ) SelNext->PrevInSEL = SelPrev;
e->NextInSEL = 0;
e->PrevInSEL = 0;
}
//------------------------------------------------------------------------------
#ifdef use_xyz
void Clipper::SetZ(IntPoint& pt, TEdge& e1, TEdge& e2)
{
if (pt.Z != 0 || !m_ZFill) return;
else if (pt == e1.Bot) pt.Z = e1.Bot.Z;
else if (pt == e1.Top) pt.Z = e1.Top.Z;
else if (pt == e2.Bot) pt.Z = e2.Bot.Z;
else if (pt == e2.Top) pt.Z = e2.Top.Z;
else (*m_ZFill)(e1.Bot, e1.Top, e2.Bot, e2.Top, pt);
}
//------------------------------------------------------------------------------
#endif
void Clipper::IntersectEdges(TEdge *e1, TEdge *e2, IntPoint &Pt)
{
bool e1Contributing = ( e1->OutIdx >= 0 );
bool e2Contributing = ( e2->OutIdx >= 0 );
#ifdef use_xyz
SetZ(Pt, *e1, *e2);
#endif
#ifdef use_lines
//if either edge is on an OPEN path ...
if (e1->WindDelta == 0 || e2->WindDelta == 0)
{
//ignore subject-subject open path intersections UNLESS they
//are both open paths, AND they are both 'contributing maximas' ...
if (e1->WindDelta == 0 && e2->WindDelta == 0) return;
//if intersecting a subj line with a subj poly ...
else if (e1->PolyTyp == e2->PolyTyp &&
e1->WindDelta != e2->WindDelta && m_ClipType == ctUnion)
{
if (e1->WindDelta == 0)
{
if (e2Contributing)
{
AddOutPt(e1, Pt);
if (e1Contributing) e1->OutIdx = Unassigned;
}
}
else
{
if (e1Contributing)
{
AddOutPt(e2, Pt);
if (e2Contributing) e2->OutIdx = Unassigned;
}
}
}
else if (e1->PolyTyp != e2->PolyTyp)
{
//toggle subj open path OutIdx on/off when Abs(clip.WndCnt) == 1 ...
if ((e1->WindDelta == 0) && std::abs(e2->WindCnt) == 1 &&
(m_ClipType != ctUnion || e2->WindCnt2 == 0))
{
AddOutPt(e1, Pt);
if (e1Contributing) e1->OutIdx = Unassigned;
}
else if ((e2->WindDelta == 0) && (std::abs(e1->WindCnt) == 1) &&
(m_ClipType != ctUnion || e1->WindCnt2 == 0))
{
AddOutPt(e2, Pt);
if (e2Contributing) e2->OutIdx = Unassigned;
}
}
return;
}
#endif
//update winding counts...
//assumes that e1 will be to the Right of e2 ABOVE the intersection
if ( e1->PolyTyp == e2->PolyTyp )
{
if ( IsEvenOddFillType( *e1) )
{
int oldE1WindCnt = e1->WindCnt;
e1->WindCnt = e2->WindCnt;
e2->WindCnt = oldE1WindCnt;
} else
{
if (e1->WindCnt + e2->WindDelta == 0 ) e1->WindCnt = -e1->WindCnt;
else e1->WindCnt += e2->WindDelta;
if ( e2->WindCnt - e1->WindDelta == 0 ) e2->WindCnt = -e2->WindCnt;
else e2->WindCnt -= e1->WindDelta;
}
} else
{
if (!IsEvenOddFillType(*e2)) e1->WindCnt2 += e2->WindDelta;
else e1->WindCnt2 = ( e1->WindCnt2 == 0 ) ? 1 : 0;
if (!IsEvenOddFillType(*e1)) e2->WindCnt2 -= e1->WindDelta;
else e2->WindCnt2 = ( e2->WindCnt2 == 0 ) ? 1 : 0;
}
PolyFillType e1FillType, e2FillType, e1FillType2, e2FillType2;
if (e1->PolyTyp == ptSubject)
{
e1FillType = m_SubjFillType;
e1FillType2 = m_ClipFillType;
} else
{
e1FillType = m_ClipFillType;
e1FillType2 = m_SubjFillType;
}
if (e2->PolyTyp == ptSubject)
{
e2FillType = m_SubjFillType;
e2FillType2 = m_ClipFillType;
} else
{
e2FillType = m_ClipFillType;
e2FillType2 = m_SubjFillType;
}
cInt e1Wc, e2Wc;
switch (e1FillType)
{
case pftPositive: e1Wc = e1->WindCnt; break;
case pftNegative: e1Wc = -e1->WindCnt; break;
default: e1Wc = std::abs(e1->WindCnt);
}
switch(e2FillType)
{
case pftPositive: e2Wc = e2->WindCnt; break;
case pftNegative: e2Wc = -e2->WindCnt; break;
default: e2Wc = std::abs(e2->WindCnt);
}
if ( e1Contributing && e2Contributing )
{
if ((e1Wc != 0 && e1Wc != 1) || (e2Wc != 0 && e2Wc != 1) ||
(e1->PolyTyp != e2->PolyTyp && m_ClipType != ctXor) )
{
AddLocalMaxPoly(e1, e2, Pt);
}
else
{
AddOutPt(e1, Pt);
AddOutPt(e2, Pt);
std::swap(e1->Side, e2->Side);
std::swap(e1->OutIdx, e2->OutIdx);
}
}
else if ( e1Contributing )
{
if (e2Wc == 0 || e2Wc == 1)
{
AddOutPt(e1, Pt);
std::swap(e1->Side, e2->Side);
std::swap(e1->OutIdx, e2->OutIdx);
}
}
else if ( e2Contributing )
{
if (e1Wc == 0 || e1Wc == 1)
{
AddOutPt(e2, Pt);
std::swap(e1->Side, e2->Side);
std::swap(e1->OutIdx, e2->OutIdx);
}
}
else if ( (e1Wc == 0 || e1Wc == 1) && (e2Wc == 0 || e2Wc == 1))
{
//neither edge is currently contributing ...
cInt e1Wc2, e2Wc2;
switch (e1FillType2)
{
case pftPositive: e1Wc2 = e1->WindCnt2; break;
case pftNegative : e1Wc2 = -e1->WindCnt2; break;
default: e1Wc2 = std::abs(e1->WindCnt2);
}
switch (e2FillType2)
{
case pftPositive: e2Wc2 = e2->WindCnt2; break;
case pftNegative: e2Wc2 = -e2->WindCnt2; break;
default: e2Wc2 = std::abs(e2->WindCnt2);
}
if (e1->PolyTyp != e2->PolyTyp)
{
AddLocalMinPoly(e1, e2, Pt);
}
else if (e1Wc == 1 && e2Wc == 1)
switch( m_ClipType ) {
case ctIntersection:
if (e1Wc2 > 0 && e2Wc2 > 0)
AddLocalMinPoly(e1, e2, Pt);
break;
case ctUnion:
if ( e1Wc2 <= 0 && e2Wc2 <= 0 )
AddLocalMinPoly(e1, e2, Pt);
break;
case ctDifference:
if (((e1->PolyTyp == ptClip) && (e1Wc2 > 0) && (e2Wc2 > 0)) ||
((e1->PolyTyp == ptSubject) && (e1Wc2 <= 0) && (e2Wc2 <= 0)))
AddLocalMinPoly(e1, e2, Pt);
break;
case ctXor:
AddLocalMinPoly(e1, e2, Pt);
}
else
std::swap(e1->Side, e2->Side);
}
}
//------------------------------------------------------------------------------
void Clipper::SetHoleState(TEdge *e, OutRec *outrec) const
{
bool IsHole = false;
TEdge *e2 = e->PrevInAEL;
while (e2)
{
if (e2->OutIdx >= 0 && e2->WindDelta != 0)
{
IsHole = !IsHole;
if (! outrec->FirstLeft)
outrec->FirstLeft = m_PolyOuts[e2->OutIdx];
}
e2 = e2->PrevInAEL;
}
if (IsHole) outrec->IsHole = true;
}
//------------------------------------------------------------------------------
OutRec* GetLowermostRec(OutRec *outRec1, OutRec *outRec2)
{
//work out which polygon fragment has the correct hole state ...
if (!outRec1->BottomPt)
outRec1->BottomPt = GetBottomPt(outRec1->Pts);
if (!outRec2->BottomPt)
outRec2->BottomPt = GetBottomPt(outRec2->Pts);
OutPt *OutPt1 = outRec1->BottomPt;
OutPt *OutPt2 = outRec2->BottomPt;
if (OutPt1->Pt.Y > OutPt2->Pt.Y) return outRec1;
else if (OutPt1->Pt.Y < OutPt2->Pt.Y) return outRec2;
else if (OutPt1->Pt.X < OutPt2->Pt.X) return outRec1;
else if (OutPt1->Pt.X > OutPt2->Pt.X) return outRec2;
else if (OutPt1->Next == OutPt1) return outRec2;
else if (OutPt2->Next == OutPt2) return outRec1;
else if (FirstIsBottomPt(OutPt1, OutPt2)) return outRec1;
else return outRec2;
}
//------------------------------------------------------------------------------
bool Param1RightOfParam2(OutRec* outRec1, OutRec* outRec2)
{
do
{
outRec1 = outRec1->FirstLeft;
if (outRec1 == outRec2) return true;
} while (outRec1);
return false;
}
//------------------------------------------------------------------------------
OutRec* Clipper::GetOutRec(int Idx)
{
OutRec* outrec = m_PolyOuts[Idx];
while (outrec != m_PolyOuts[outrec->Idx])
outrec = m_PolyOuts[outrec->Idx];
return outrec;
}
//------------------------------------------------------------------------------
void Clipper::AppendPolygon(TEdge *e1, TEdge *e2) const
{
//get the start and ends of both output polygons ...
OutRec *outRec1 = m_PolyOuts[e1->OutIdx];
OutRec *outRec2 = m_PolyOuts[e2->OutIdx];
OutRec *holeStateRec;
if (Param1RightOfParam2(outRec1, outRec2))
holeStateRec = outRec2;
else if (Param1RightOfParam2(outRec2, outRec1))
holeStateRec = outRec1;
else
holeStateRec = GetLowermostRec(outRec1, outRec2);
//get the start and ends of both output polygons and
//join e2 poly onto e1 poly and delete pointers to e2 ...
OutPt* p1_lft = outRec1->Pts;
OutPt* p1_rt = p1_lft->Prev;
OutPt* p2_lft = outRec2->Pts;
OutPt* p2_rt = p2_lft->Prev;
EdgeSide Side;
//join e2 poly onto e1 poly and delete pointers to e2 ...
if( e1->Side == esLeft )
{
if( e2->Side == esLeft )
{
//z y x a b c
ReversePolyPtLinks(p2_lft);
p2_lft->Next = p1_lft;
p1_lft->Prev = p2_lft;
p1_rt->Next = p2_rt;
p2_rt->Prev = p1_rt;
outRec1->Pts = p2_rt;
} else
{
//x y z a b c
p2_rt->Next = p1_lft;
p1_lft->Prev = p2_rt;
p2_lft->Prev = p1_rt;
p1_rt->Next = p2_lft;
outRec1->Pts = p2_lft;
}
Side = esLeft;
} else
{
if( e2->Side == esRight )
{
//a b c z y x
ReversePolyPtLinks(p2_lft);
p1_rt->Next = p2_rt;
p2_rt->Prev = p1_rt;
p2_lft->Next = p1_lft;
p1_lft->Prev = p2_lft;
} else
{
//a b c x y z
p1_rt->Next = p2_lft;
p2_lft->Prev = p1_rt;
p1_lft->Prev = p2_rt;
p2_rt->Next = p1_lft;
}
Side = esRight;
}
outRec1->BottomPt = 0;
if (holeStateRec == outRec2)
{
if (outRec2->FirstLeft != outRec1)
outRec1->FirstLeft = outRec2->FirstLeft;
outRec1->IsHole = outRec2->IsHole;
}
outRec2->Pts = 0;
outRec2->BottomPt = 0;
outRec2->FirstLeft = outRec1;
int OKIdx = e1->OutIdx;
int ObsoleteIdx = e2->OutIdx;
e1->OutIdx = Unassigned; //nb: safe because we only get here via AddLocalMaxPoly
e2->OutIdx = Unassigned;
TEdge* e = m_ActiveEdges;
while( e )
{
if( e->OutIdx == ObsoleteIdx )
{
e->OutIdx = OKIdx;
e->Side = Side;
break;
}
e = e->NextInAEL;
}
outRec2->Idx = outRec1->Idx;
}
//------------------------------------------------------------------------------
OutRec* Clipper::CreateOutRec()
{
OutRec* result = new OutRec;
result->IsHole = false;
result->IsOpen = false;
result->FirstLeft = 0;
result->Pts = 0;
result->BottomPt = 0;
result->PolyNd = 0;
m_PolyOuts.push_back(result);
result->Idx = (int)m_PolyOuts.size()-1;
return result;
}
//------------------------------------------------------------------------------
OutPt* Clipper::AddOutPt(TEdge *e, const IntPoint &pt)
{
if( e->OutIdx < 0 )
{
OutRec *outRec = CreateOutRec();
outRec->IsOpen = (e->WindDelta == 0);
OutPt* newOp = this->AllocateOutPt();
outRec->Pts = newOp;
newOp->Idx = outRec->Idx;
newOp->Pt = pt;
newOp->Next = newOp;
newOp->Prev = newOp;
if (!outRec->IsOpen)
SetHoleState(e, outRec);
e->OutIdx = outRec->Idx;
return newOp;
} else
{
OutRec *outRec = m_PolyOuts[e->OutIdx];
//OutRec.Pts is the 'Left-most' point & OutRec.Pts.Prev is the 'Right-most'
OutPt* op = outRec->Pts;
bool ToFront = (e->Side == esLeft);
if (ToFront && (pt == op->Pt)) return op;
else if (!ToFront && (pt == op->Prev->Pt)) return op->Prev;
OutPt* newOp = this->AllocateOutPt();
newOp->Idx = outRec->Idx;
newOp->Pt = pt;
newOp->Next = op;
newOp->Prev = op->Prev;
newOp->Prev->Next = newOp;
op->Prev = newOp;
if (ToFront) outRec->Pts = newOp;
return newOp;
}
}
//------------------------------------------------------------------------------
OutPt* Clipper::GetLastOutPt(TEdge *e)
{
OutRec *outRec = m_PolyOuts[e->OutIdx];
if (e->Side == esLeft)
return outRec->Pts;
else
return outRec->Pts->Prev;
}
//------------------------------------------------------------------------------
void Clipper::ProcessHorizontals()
{
PROFILE_FUNC();
TEdge* horzEdge = m_SortedEdges;
while(horzEdge)
{
DeleteFromSEL(horzEdge);
ProcessHorizontal(horzEdge);
horzEdge = m_SortedEdges;
}
}
//------------------------------------------------------------------------------
inline bool IsMaxima(TEdge *e, const cInt Y)
{
return e && e->Top.Y == Y && !e->NextInLML;
}
//------------------------------------------------------------------------------
inline bool IsIntermediate(TEdge *e, const cInt Y)
{
return e->Top.Y == Y && e->NextInLML;
}
//------------------------------------------------------------------------------
inline TEdge *GetMaximaPair(TEdge *e)
{
TEdge* result = 0;
if ((e->Next->Top == e->Top) && !e->Next->NextInLML)
result = e->Next;
else if ((e->Prev->Top == e->Top) && !e->Prev->NextInLML)
result = e->Prev;
if (result && (result->OutIdx == Skip ||
//result is false if both NextInAEL & PrevInAEL are nil & not horizontal ...
(result->NextInAEL == result->PrevInAEL && !IsHorizontal(*result))))
return 0;
return result;
}
//------------------------------------------------------------------------------
void Clipper::SwapPositionsInAEL(TEdge *Edge1, TEdge *Edge2)
{
//check that one or other edge hasn't already been removed from AEL ...
if (Edge1->NextInAEL == Edge1->PrevInAEL ||
Edge2->NextInAEL == Edge2->PrevInAEL) return;
if( Edge1->NextInAEL == Edge2 )
{
TEdge* Next = Edge2->NextInAEL;
if( Next ) Next->PrevInAEL = Edge1;
TEdge* Prev = Edge1->PrevInAEL;
if( Prev ) Prev->NextInAEL = Edge2;
Edge2->PrevInAEL = Prev;
Edge2->NextInAEL = Edge1;
Edge1->PrevInAEL = Edge2;
Edge1->NextInAEL = Next;
}
else if( Edge2->NextInAEL == Edge1 )
{
TEdge* Next = Edge1->NextInAEL;
if( Next ) Next->PrevInAEL = Edge2;
TEdge* Prev = Edge2->PrevInAEL;
if( Prev ) Prev->NextInAEL = Edge1;
Edge1->PrevInAEL = Prev;
Edge1->NextInAEL = Edge2;
Edge2->PrevInAEL = Edge1;
Edge2->NextInAEL = Next;
}
else
{
TEdge* Next = Edge1->NextInAEL;
TEdge* Prev = Edge1->PrevInAEL;
Edge1->NextInAEL = Edge2->NextInAEL;
if( Edge1->NextInAEL ) Edge1->NextInAEL->PrevInAEL = Edge1;
Edge1->PrevInAEL = Edge2->PrevInAEL;
if( Edge1->PrevInAEL ) Edge1->PrevInAEL->NextInAEL = Edge1;
Edge2->NextInAEL = Next;
if( Edge2->NextInAEL ) Edge2->NextInAEL->PrevInAEL = Edge2;
Edge2->PrevInAEL = Prev;
if( Edge2->PrevInAEL ) Edge2->PrevInAEL->NextInAEL = Edge2;
}
if( !Edge1->PrevInAEL ) m_ActiveEdges = Edge1;
else if( !Edge2->PrevInAEL ) m_ActiveEdges = Edge2;
}
//------------------------------------------------------------------------------
void Clipper::SwapPositionsInSEL(TEdge *Edge1, TEdge *Edge2)
{
if( !( Edge1->NextInSEL ) && !( Edge1->PrevInSEL ) ) return;
if( !( Edge2->NextInSEL ) && !( Edge2->PrevInSEL ) ) return;
if( Edge1->NextInSEL == Edge2 )
{
TEdge* Next = Edge2->NextInSEL;
if( Next ) Next->PrevInSEL = Edge1;
TEdge* Prev = Edge1->PrevInSEL;
if( Prev ) Prev->NextInSEL = Edge2;
Edge2->PrevInSEL = Prev;
Edge2->NextInSEL = Edge1;
Edge1->PrevInSEL = Edge2;
Edge1->NextInSEL = Next;
}
else if( Edge2->NextInSEL == Edge1 )
{
TEdge* Next = Edge1->NextInSEL;
if( Next ) Next->PrevInSEL = Edge2;
TEdge* Prev = Edge2->PrevInSEL;
if( Prev ) Prev->NextInSEL = Edge1;
Edge1->PrevInSEL = Prev;
Edge1->NextInSEL = Edge2;
Edge2->PrevInSEL = Edge1;
Edge2->NextInSEL = Next;
}
else
{
TEdge* Next = Edge1->NextInSEL;
TEdge* Prev = Edge1->PrevInSEL;
Edge1->NextInSEL = Edge2->NextInSEL;
if( Edge1->NextInSEL ) Edge1->NextInSEL->PrevInSEL = Edge1;
Edge1->PrevInSEL = Edge2->PrevInSEL;
if( Edge1->PrevInSEL ) Edge1->PrevInSEL->NextInSEL = Edge1;
Edge2->NextInSEL = Next;
if( Edge2->NextInSEL ) Edge2->NextInSEL->PrevInSEL = Edge2;
Edge2->PrevInSEL = Prev;
if( Edge2->PrevInSEL ) Edge2->PrevInSEL->NextInSEL = Edge2;
}
if( !Edge1->PrevInSEL ) m_SortedEdges = Edge1;
else if( !Edge2->PrevInSEL ) m_SortedEdges = Edge2;
}
//------------------------------------------------------------------------------
inline void GetHorzDirection(TEdge& HorzEdge, Direction& Dir, cInt& Left, cInt& Right)
{
if (HorzEdge.Bot.X < HorzEdge.Top.X)
{
Left = HorzEdge.Bot.X;
Right = HorzEdge.Top.X;
Dir = dLeftToRight;
} else
{
Left = HorzEdge.Top.X;
Right = HorzEdge.Bot.X;
Dir = dRightToLeft;
}
}
//------------------------------------------------------------------------
/*******************************************************************************
* Notes: Horizontal edges (HEs) at scanline intersections (ie at the Top or *
* Bottom of a scanbeam) are processed as if layered. The order in which HEs *
* are processed doesn't matter. HEs intersect with other HE Bot.Xs only [#] *
* (or they could intersect with Top.Xs only, ie EITHER Bot.Xs OR Top.Xs), *
* and with other non-horizontal edges [*]. Once these intersections are *
* processed, intermediate HEs then 'promote' the Edge above (NextInLML) into *
* the AEL. These 'promoted' edges may in turn intersect [%] with other HEs. *
*******************************************************************************/
void Clipper::ProcessHorizontal(TEdge *horzEdge)
{
Direction dir;
cInt horzLeft, horzRight;
bool IsOpen = (horzEdge->OutIdx >= 0 && m_PolyOuts[horzEdge->OutIdx]->IsOpen);
GetHorzDirection(*horzEdge, dir, horzLeft, horzRight);
TEdge* eLastHorz = horzEdge, *eMaxPair = 0;
while (eLastHorz->NextInLML && IsHorizontal(*eLastHorz->NextInLML))
eLastHorz = eLastHorz->NextInLML;
if (!eLastHorz->NextInLML)
eMaxPair = GetMaximaPair(eLastHorz);
std::vector<cInt>::const_iterator maxIt;
std::vector<cInt>::const_reverse_iterator maxRit;
if (!m_Maxima.empty())
{
//get the first maxima in range (X) ...
if (dir == dLeftToRight)
{
maxIt = m_Maxima.begin();
while (maxIt != m_Maxima.end() && *maxIt <= horzEdge->Bot.X) ++maxIt;
if (maxIt != m_Maxima.end() && *maxIt >= eLastHorz->Top.X)
maxIt = m_Maxima.end();
}
else
{
maxRit = m_Maxima.rbegin();
while (maxRit != m_Maxima.rend() && *maxRit > horzEdge->Bot.X) ++maxRit;
if (maxRit != m_Maxima.rend() && *maxRit <= eLastHorz->Top.X)
maxRit = m_Maxima.rend();
}
}
OutPt* op1 = 0;
for (;;) //loop through consec. horizontal edges
{
bool IsLastHorz = (horzEdge == eLastHorz);
TEdge* e = (dir == dLeftToRight) ? horzEdge->NextInAEL : horzEdge->PrevInAEL;
while(e)
{
//this code block inserts extra coords into horizontal edges (in output
//polygons) whereever maxima touch these horizontal edges. This helps
//'simplifying' polygons (ie if the Simplify property is set).
if (!m_Maxima.empty())
{
if (dir == dLeftToRight)
{
while (maxIt != m_Maxima.end() && *maxIt < e->Curr.X)
{
if (horzEdge->OutIdx >= 0 && !IsOpen)
AddOutPt(horzEdge, IntPoint(*maxIt, horzEdge->Bot.Y));
++maxIt;
}
}
else
{
while (maxRit != m_Maxima.rend() && *maxRit > e->Curr.X)
{
if (horzEdge->OutIdx >= 0 && !IsOpen)
AddOutPt(horzEdge, IntPoint(*maxRit, horzEdge->Bot.Y));
++maxRit;
}
}
};
if ((dir == dLeftToRight && e->Curr.X > horzRight) ||
(dir == dRightToLeft && e->Curr.X < horzLeft)) break;
//Also break if we've got to the end of an intermediate horizontal edge ...
//nb: Smaller Dx's are to the right of larger Dx's ABOVE the horizontal.
if (e->Curr.X == horzEdge->Top.X && horzEdge->NextInLML &&
e->Dx < horzEdge->NextInLML->Dx) break;
if (horzEdge->OutIdx >= 0 && !IsOpen) //note: may be done multiple times
{
op1 = AddOutPt(horzEdge, e->Curr);
TEdge* eNextHorz = m_SortedEdges;
while (eNextHorz)
{
if (eNextHorz->OutIdx >= 0 &&
HorzSegmentsOverlap(horzEdge->Bot.X,
horzEdge->Top.X, eNextHorz->Bot.X, eNextHorz->Top.X))
{
OutPt* op2 = GetLastOutPt(eNextHorz);
m_Joins.emplace_back(Join(op2, op1, eNextHorz->Top));
}
eNextHorz = eNextHorz->NextInSEL;
}
m_GhostJoins.emplace_back(Join(op1, 0, horzEdge->Bot));
}
//OK, so far we're still in range of the horizontal Edge but make sure
//we're at the last of consec. horizontals when matching with eMaxPair
if(e == eMaxPair && IsLastHorz)
{
if (horzEdge->OutIdx >= 0)
AddLocalMaxPoly(horzEdge, eMaxPair, horzEdge->Top);
DeleteFromAEL(horzEdge);
DeleteFromAEL(eMaxPair);
return;
}
if(dir == dLeftToRight)
{
IntPoint Pt = IntPoint(e->Curr.X, horzEdge->Curr.Y);
IntersectEdges(horzEdge, e, Pt);
}
else
{
IntPoint Pt = IntPoint(e->Curr.X, horzEdge->Curr.Y);
IntersectEdges( e, horzEdge, Pt);
}
TEdge* eNext = (dir == dLeftToRight) ? e->NextInAEL : e->PrevInAEL;
SwapPositionsInAEL( horzEdge, e );
e = eNext;
} //end while(e)
//Break out of loop if HorzEdge.NextInLML is not also horizontal ...
if (!horzEdge->NextInLML || !IsHorizontal(*horzEdge->NextInLML)) break;
UpdateEdgeIntoAEL(horzEdge);
if (horzEdge->OutIdx >= 0) AddOutPt(horzEdge, horzEdge->Bot);
GetHorzDirection(*horzEdge, dir, horzLeft, horzRight);
} //end for (;;)
if (horzEdge->OutIdx >= 0 && !op1)
{
op1 = GetLastOutPt(horzEdge);
TEdge* eNextHorz = m_SortedEdges;
while (eNextHorz)
{
if (eNextHorz->OutIdx >= 0 &&
HorzSegmentsOverlap(horzEdge->Bot.X,
horzEdge->Top.X, eNextHorz->Bot.X, eNextHorz->Top.X))
{
OutPt* op2 = GetLastOutPt(eNextHorz);
m_Joins.emplace_back(Join(op2, op1, eNextHorz->Top));
}
eNextHorz = eNextHorz->NextInSEL;
}
m_GhostJoins.emplace_back(Join(op1, 0, horzEdge->Top));
}
if (horzEdge->NextInLML)
{
if(horzEdge->OutIdx >= 0)
{
op1 = AddOutPt( horzEdge, horzEdge->Top);
UpdateEdgeIntoAEL(horzEdge);
if (horzEdge->WindDelta == 0) return;
//nb: HorzEdge is no longer horizontal here
TEdge* ePrev = horzEdge->PrevInAEL;
TEdge* eNext = horzEdge->NextInAEL;
if (ePrev && ePrev->Curr.X == horzEdge->Bot.X &&
ePrev->Curr.Y == horzEdge->Bot.Y && ePrev->WindDelta != 0 &&
(ePrev->OutIdx >= 0 && ePrev->Curr.Y > ePrev->Top.Y &&
SlopesEqual(*horzEdge, *ePrev, m_UseFullRange)))
{
OutPt* op2 = AddOutPt(ePrev, horzEdge->Bot);
m_Joins.emplace_back(Join(op1, op2, horzEdge->Top));
}
else if (eNext && eNext->Curr.X == horzEdge->Bot.X &&
eNext->Curr.Y == horzEdge->Bot.Y && eNext->WindDelta != 0 &&
eNext->OutIdx >= 0 && eNext->Curr.Y > eNext->Top.Y &&
SlopesEqual(*horzEdge, *eNext, m_UseFullRange))
{
OutPt* op2 = AddOutPt(eNext, horzEdge->Bot);
m_Joins.emplace_back(Join(op1, op2, horzEdge->Top));
}
}
else
UpdateEdgeIntoAEL(horzEdge);
}
else
{
if (horzEdge->OutIdx >= 0) AddOutPt(horzEdge, horzEdge->Top);
DeleteFromAEL(horzEdge);
}
}
//------------------------------------------------------------------------------
void Clipper::UpdateEdgeIntoAEL(TEdge *&e)
{
if( !e->NextInLML ) throw
clipperException("UpdateEdgeIntoAEL: invalid call");
e->NextInLML->OutIdx = e->OutIdx;
TEdge* AelPrev = e->PrevInAEL;
TEdge* AelNext = e->NextInAEL;
if (AelPrev) AelPrev->NextInAEL = e->NextInLML;
else m_ActiveEdges = e->NextInLML;
if (AelNext) AelNext->PrevInAEL = e->NextInLML;
e->NextInLML->Side = e->Side;
e->NextInLML->WindDelta = e->WindDelta;
e->NextInLML->WindCnt = e->WindCnt;
e->NextInLML->WindCnt2 = e->WindCnt2;
e = e->NextInLML;
e->Curr = e->Bot;
e->PrevInAEL = AelPrev;
e->NextInAEL = AelNext;
if (!IsHorizontal(*e))
m_Scanbeam.push(e->Top.Y);
}
//------------------------------------------------------------------------------
bool Clipper::ProcessIntersections(const cInt topY)
{
PROFILE_FUNC();
if( !m_ActiveEdges ) return true;
try {
BuildIntersectList(topY);
size_t IlSize = m_IntersectList.size();
if (IlSize == 0) return true;
if (IlSize == 1 || FixupIntersectionOrder()) {
for (IntersectNode &iNode : m_IntersectList) {
IntersectEdges( iNode.Edge1, iNode.Edge2, iNode.Pt);
SwapPositionsInAEL( iNode.Edge1 , iNode.Edge2 );
}
m_IntersectList.clear();
}
else return false;
}
catch(...)
{
m_SortedEdges = 0;
m_IntersectList.clear();
throw clipperException("ProcessIntersections error");
}
m_SortedEdges = 0;
return true;
}
//------------------------------------------------------------------------------
void Clipper::BuildIntersectList(const cInt topY)
{
if ( !m_ActiveEdges ) return;
//prepare for sorting ...
TEdge* e = m_ActiveEdges;
m_SortedEdges = e;
while( e )
{
e->PrevInSEL = e->PrevInAEL;
e->NextInSEL = e->NextInAEL;
e->Curr.X = TopX( *e, topY );
e = e->NextInAEL;
}
//bubblesort ...
bool isModified;
do
{
isModified = false;
e = m_SortedEdges;
while( e->NextInSEL )
{
TEdge *eNext = e->NextInSEL;
IntPoint Pt;
if(e->Curr.X > eNext->Curr.X)
{
IntersectPoint(*e, *eNext, Pt);
m_IntersectList.emplace_back(IntersectNode(e, eNext, Pt));
SwapPositionsInSEL(e, eNext);
isModified = true;
}
else
e = eNext;
}
if( e->PrevInSEL ) e->PrevInSEL->NextInSEL = 0;
else break;
}
while ( isModified );
m_SortedEdges = 0; //important
}
//------------------------------------------------------------------------------
inline bool EdgesAdjacent(const IntersectNode &inode)
{
return (inode.Edge1->NextInSEL == inode.Edge2) ||
(inode.Edge1->PrevInSEL == inode.Edge2);
}
//------------------------------------------------------------------------------
bool Clipper::FixupIntersectionOrder()
{
//pre-condition: intersections are sorted Bottom-most first.
//Now it's crucial that intersections are made only between adjacent edges,
//so to ensure this the order of intersections may need adjusting ...
CopyAELToSEL();
std::sort(m_IntersectList.begin(), m_IntersectList.end(), [](const IntersectNode &node1, const IntersectNode &node2) { return node2.Pt.Y < node1.Pt.Y; });
size_t cnt = m_IntersectList.size();
for (size_t i = 0; i < cnt; ++i)
{
if (!EdgesAdjacent(m_IntersectList[i]))
{
size_t j = i + 1;
while (j < cnt && !EdgesAdjacent(m_IntersectList[j])) j++;
if (j == cnt) return false;
std::swap(m_IntersectList[i], m_IntersectList[j]);
}
SwapPositionsInSEL(m_IntersectList[i].Edge1, m_IntersectList[i].Edge2);
}
return true;
}
//------------------------------------------------------------------------------
void Clipper::DoMaxima(TEdge *e)
{
TEdge* eMaxPair = GetMaximaPair(e);
if (!eMaxPair)
{
if (e->OutIdx >= 0)
AddOutPt(e, e->Top);
DeleteFromAEL(e);
return;
}
TEdge* eNext = e->NextInAEL;
while(eNext && eNext != eMaxPair)
{
IntersectEdges(e, eNext, e->Top);
SwapPositionsInAEL(e, eNext);
eNext = e->NextInAEL;
}
if(e->OutIdx == Unassigned && eMaxPair->OutIdx == Unassigned)
{
DeleteFromAEL(e);
DeleteFromAEL(eMaxPair);
}
else if( e->OutIdx >= 0 && eMaxPair->OutIdx >= 0 )
{
if (e->OutIdx >= 0) AddLocalMaxPoly(e, eMaxPair, e->Top);
DeleteFromAEL(e);
DeleteFromAEL(eMaxPair);
}
#ifdef use_lines
else if (e->WindDelta == 0)
{
if (e->OutIdx >= 0)
{
AddOutPt(e, e->Top);
e->OutIdx = Unassigned;
}
DeleteFromAEL(e);
if (eMaxPair->OutIdx >= 0)
{
AddOutPt(eMaxPair, e->Top);
eMaxPair->OutIdx = Unassigned;
}
DeleteFromAEL(eMaxPair);
}
#endif
else throw clipperException("DoMaxima error");
}
//------------------------------------------------------------------------------
void Clipper::ProcessEdgesAtTopOfScanbeam(const cInt topY)
{
PROFILE_FUNC();
TEdge* e = m_ActiveEdges;
while( e )
{
//1. process maxima, treating them as if they're 'bent' horizontal edges,
// but exclude maxima with horizontal edges. nb: e can't be a horizontal.
bool IsMaximaEdge = IsMaxima(e, topY);
if(IsMaximaEdge)
{
TEdge* eMaxPair = GetMaximaPair(e);
IsMaximaEdge = (!eMaxPair || !IsHorizontal(*eMaxPair));
}
if(IsMaximaEdge)
{
if (m_StrictSimple) m_Maxima.push_back(e->Top.X);
TEdge* ePrev = e->PrevInAEL;
DoMaxima(e);
if( !ePrev ) e = m_ActiveEdges;
else e = ePrev->NextInAEL;
}
else
{
//2. promote horizontal edges, otherwise update Curr.X and Curr.Y ...
if (IsIntermediate(e, topY) && IsHorizontal(*e->NextInLML))
{
UpdateEdgeIntoAEL(e);
if (e->OutIdx >= 0)
AddOutPt(e, e->Bot);
AddEdgeToSEL(e);
}
else
{
e->Curr.X = TopX( *e, topY );
e->Curr.Y = topY;
}
//When StrictlySimple and 'e' is being touched by another edge, then
//make sure both edges have a vertex here ...
if (m_StrictSimple)
{
TEdge* ePrev = e->PrevInAEL;
if ((e->OutIdx >= 0) && (e->WindDelta != 0) && ePrev && (ePrev->OutIdx >= 0) &&
(ePrev->Curr.X == e->Curr.X) && (ePrev->WindDelta != 0))
{
IntPoint pt = e->Curr;
#ifdef use_xyz
SetZ(pt, *ePrev, *e);
#endif
OutPt* op = AddOutPt(ePrev, pt);
OutPt* op2 = AddOutPt(e, pt);
m_Joins.emplace_back(Join(op, op2, pt)); //StrictlySimple (type-3) join
}
}
e = e->NextInAEL;
}
}
//3. Process horizontals at the Top of the scanbeam ...
std::sort(m_Maxima.begin(), m_Maxima.end());
ProcessHorizontals();
m_Maxima.clear();
//4. Promote intermediate vertices ...
e = m_ActiveEdges;
while(e)
{
if(IsIntermediate(e, topY))
{
OutPt* op = 0;
if( e->OutIdx >= 0 )
op = AddOutPt(e, e->Top);
UpdateEdgeIntoAEL(e);
//if output polygons share an edge, they'll need joining later ...
TEdge* ePrev = e->PrevInAEL;
TEdge* eNext = e->NextInAEL;
if (ePrev && ePrev->Curr.X == e->Bot.X &&
ePrev->Curr.Y == e->Bot.Y && op &&
ePrev->OutIdx >= 0 && ePrev->Curr.Y > ePrev->Top.Y &&
SlopesEqual(*e, *ePrev, m_UseFullRange) &&
(e->WindDelta != 0) && (ePrev->WindDelta != 0))
{
OutPt* op2 = AddOutPt(ePrev, e->Bot);
m_Joins.emplace_back(Join(op, op2, e->Top));
}
else if (eNext && eNext->Curr.X == e->Bot.X &&
eNext->Curr.Y == e->Bot.Y && op &&
eNext->OutIdx >= 0 && eNext->Curr.Y > eNext->Top.Y &&
SlopesEqual(*e, *eNext, m_UseFullRange) &&
(e->WindDelta != 0) && (eNext->WindDelta != 0))
{
OutPt* op2 = AddOutPt(eNext, e->Bot);
m_Joins.emplace_back(Join(op, op2, e->Top));
}
}
e = e->NextInAEL;
}
}
//------------------------------------------------------------------------------
void Clipper::FixupOutPolyline(OutRec &outrec)
{
OutPt *pp = outrec.Pts;
OutPt *lastPP = pp->Prev;
while (pp != lastPP)
{
pp = pp->Next;
if (pp->Pt == pp->Prev->Pt)
{
if (pp == lastPP) lastPP = pp->Prev;
OutPt *tmpPP = pp->Prev;
tmpPP->Next = pp->Next;
pp->Next->Prev = tmpPP;
this->DisposeOutPt(pp);
pp = tmpPP;
}
}
if (pp == pp->Prev)
{
this->DisposeOutPts(pp);
outrec.Pts = 0;
return;
}
}
//------------------------------------------------------------------------------
void Clipper::FixupOutPolygon(OutRec &outrec)
{
//FixupOutPolygon() - removes duplicate points and simplifies consecutive
//parallel edges by removing the middle vertex.
OutPt *lastOK = nullptr;
outrec.BottomPt = nullptr;
OutPt *pp = outrec.Pts;
bool preserveCol = m_PreserveCollinear || m_StrictSimple;
for (;;)
{
if (pp->Prev == pp || pp->Prev == pp->Next)
{
// Empty loop or a stick. Release the polygon.
this->DisposeOutPts(pp);
outrec.Pts = nullptr;
return;
}
//test for duplicate points and collinear edges ...
if ((pp->Pt == pp->Next->Pt) || (pp->Pt == pp->Prev->Pt) ||
(SlopesEqual(pp->Prev->Pt, pp->Pt, pp->Next->Pt, m_UseFullRange) &&
(!preserveCol || !Pt2IsBetweenPt1AndPt3(pp->Prev->Pt, pp->Pt, pp->Next->Pt))))
{
lastOK = nullptr;
OutPt *tmp = pp;
pp->Prev->Next = pp->Next;
pp->Next->Prev = pp->Prev;
pp = pp->Prev;
this->DisposeOutPt(tmp);
}
else if (pp == lastOK) break;
else
{
if (!lastOK) lastOK = pp;
pp = pp->Next;
}
}
outrec.Pts = pp;
}
//------------------------------------------------------------------------------
// Count the number of points in a closed linked loop starting with Pts.
int PointCount(OutPt *Pts)
{
if (!Pts) return 0;
int result = 0;
OutPt* p = Pts;
do
{
result++;
p = p->Next;
}
while (p != Pts);
return result;
}
//------------------------------------------------------------------------------
void Clipper::BuildResult(Paths &polys)
{
polys.reserve(m_PolyOuts.size());
for (OutRec* outRec : m_PolyOuts)
{
assert(! outRec->IsOpen);
if (!outRec->Pts) continue;
Path pg;
OutPt* p = outRec->Pts->Prev;
int cnt = PointCount(p);
if (cnt < 2) continue;
pg.reserve(cnt);
for (int i = 0; i < cnt; ++i)
{
pg.emplace_back(p->Pt);
p = p->Prev;
}
polys.emplace_back(std::move(pg));
}
}
//------------------------------------------------------------------------------
void Clipper::BuildResult2(PolyTree& polytree)
{
polytree.Clear();
polytree.AllNodes.reserve(m_PolyOuts.size());
//add each output polygon/contour to polytree ...
for (OutRec* outRec : m_PolyOuts)
{
int cnt = PointCount(outRec->Pts);
if ((outRec->IsOpen && cnt < 2) || (!outRec->IsOpen && cnt < 3))
// Ignore an invalid output loop or a polyline.
continue;
//skip OutRecs that (a) contain outermost polygons or
//(b) already have the correct owner/child linkage ...
if (outRec->FirstLeft &&
(outRec->IsHole == outRec->FirstLeft->IsHole || ! outRec->FirstLeft->Pts)) {
OutRec* orfl = outRec->FirstLeft;
while (orfl && ((orfl->IsHole == outRec->IsHole) || !orfl->Pts))
orfl = orfl->FirstLeft;
outRec->FirstLeft = orfl;
}
//nb: polytree takes ownership of all the PolyNodes
polytree.AllNodes.emplace_back(PolyNode());
PolyNode* pn = &polytree.AllNodes.back();
outRec->PolyNd = pn;
pn->Parent = 0;
pn->Index = 0;
pn->Contour.reserve(cnt);
OutPt *op = outRec->Pts->Prev;
for (int j = 0; j < cnt; j++)
{
pn->Contour.emplace_back(op->Pt);
op = op->Prev;
}
}
//fixup PolyNode links etc ...
polytree.Childs.reserve(m_PolyOuts.size());
for (OutRec* outRec : m_PolyOuts)
{
if (!outRec->PolyNd) continue;
if (outRec->IsOpen)
{
outRec->PolyNd->m_IsOpen = true;
polytree.AddChild(*outRec->PolyNd);
}
else if (outRec->FirstLeft && outRec->FirstLeft->PolyNd)
outRec->FirstLeft->PolyNd->AddChild(*outRec->PolyNd);
else
polytree.AddChild(*outRec->PolyNd);
}
}
//------------------------------------------------------------------------------
inline bool E2InsertsBeforeE1(TEdge &e1, TEdge &e2)
{
if (e2.Curr.X == e1.Curr.X)
{
if (e2.Top.Y > e1.Top.Y)
return e2.Top.X < TopX(e1, e2.Top.Y);
else return e1.Top.X > TopX(e2, e1.Top.Y);
}
else return e2.Curr.X < e1.Curr.X;
}
//------------------------------------------------------------------------------
bool GetOverlap(const cInt a1, const cInt a2, const cInt b1, const cInt b2,
cInt& Left, cInt& Right)
{
if (a1 < a2)
{
if (b1 < b2) {Left = std::max(a1,b1); Right = std::min(a2,b2);}
else {Left = std::max(a1,b2); Right = std::min(a2,b1);}
}
else
{
if (b1 < b2) {Left = std::max(a2,b1); Right = std::min(a1,b2);}
else {Left = std::max(a2,b2); Right = std::min(a1,b1);}
}
return Left < Right;
}
//------------------------------------------------------------------------------
// Make all points of outrec point to outrec.Idx
inline void UpdateOutPtIdxs(OutRec& outrec)
{
OutPt* op = outrec.Pts;
do
{
op->Idx = outrec.Idx;
op = op->Prev;
}
while(op != outrec.Pts);
}
//------------------------------------------------------------------------------
void Clipper::InsertEdgeIntoAEL(TEdge *edge, TEdge* startEdge)
{
if(!m_ActiveEdges)
{
edge->PrevInAEL = 0;
edge->NextInAEL = 0;
m_ActiveEdges = edge;
}
else if(!startEdge && E2InsertsBeforeE1(*m_ActiveEdges, *edge))
{
edge->PrevInAEL = 0;
edge->NextInAEL = m_ActiveEdges;
m_ActiveEdges->PrevInAEL = edge;
m_ActiveEdges = edge;
}
else
{
if(!startEdge) startEdge = m_ActiveEdges;
while(startEdge->NextInAEL &&
!E2InsertsBeforeE1(*startEdge->NextInAEL , *edge))
startEdge = startEdge->NextInAEL;
edge->NextInAEL = startEdge->NextInAEL;
if(startEdge->NextInAEL) startEdge->NextInAEL->PrevInAEL = edge;
edge->PrevInAEL = startEdge;
startEdge->NextInAEL = edge;
}
}
//----------------------------------------------------------------------
OutPt* Clipper::DupOutPt(OutPt* outPt, bool InsertAfter)
{
OutPt* result = this->AllocateOutPt();
result->Pt = outPt->Pt;
result->Idx = outPt->Idx;
if (InsertAfter)
{
result->Next = outPt->Next;
result->Prev = outPt;
outPt->Next->Prev = result;
outPt->Next = result;
}
else
{
result->Prev = outPt->Prev;
result->Next = outPt;
outPt->Prev->Next = result;
outPt->Prev = result;
}
return result;
}
//------------------------------------------------------------------------------
bool Clipper::JoinHorz(OutPt* op1, OutPt* op1b, OutPt* op2, OutPt* op2b,
const IntPoint &Pt, bool DiscardLeft)
{
Direction Dir1 = (op1->Pt.X > op1b->Pt.X ? dRightToLeft : dLeftToRight);
Direction Dir2 = (op2->Pt.X > op2b->Pt.X ? dRightToLeft : dLeftToRight);
if (Dir1 == Dir2) return false;
//When DiscardLeft, we want Op1b to be on the Left of Op1, otherwise we
//want Op1b to be on the Right. (And likewise with Op2 and Op2b.)
//So, to facilitate this while inserting Op1b and Op2b ...
//when DiscardLeft, make sure we're AT or RIGHT of Pt before adding Op1b,
//otherwise make sure we're AT or LEFT of Pt. (Likewise with Op2b.)
if (Dir1 == dLeftToRight)
{
while (op1->Next->Pt.X <= Pt.X &&
op1->Next->Pt.X >= op1->Pt.X && op1->Next->Pt.Y == Pt.Y)
op1 = op1->Next;
if (DiscardLeft && (op1->Pt.X != Pt.X)) op1 = op1->Next;
op1b = this->DupOutPt(op1, !DiscardLeft);
if (op1b->Pt != Pt)
{
op1 = op1b;
op1->Pt = Pt;
op1b = this->DupOutPt(op1, !DiscardLeft);
}
}
else
{
while (op1->Next->Pt.X >= Pt.X &&
op1->Next->Pt.X <= op1->Pt.X && op1->Next->Pt.Y == Pt.Y)
op1 = op1->Next;
if (!DiscardLeft && (op1->Pt.X != Pt.X)) op1 = op1->Next;
op1b = this->DupOutPt(op1, DiscardLeft);
if (op1b->Pt != Pt)
{
op1 = op1b;
op1->Pt = Pt;
op1b = this->DupOutPt(op1, DiscardLeft);
}
}
if (Dir2 == dLeftToRight)
{
while (op2->Next->Pt.X <= Pt.X &&
op2->Next->Pt.X >= op2->Pt.X && op2->Next->Pt.Y == Pt.Y)
op2 = op2->Next;
if (DiscardLeft && (op2->Pt.X != Pt.X)) op2 = op2->Next;
op2b = this->DupOutPt(op2, !DiscardLeft);
if (op2b->Pt != Pt)
{
op2 = op2b;
op2->Pt = Pt;
op2b = this->DupOutPt(op2, !DiscardLeft);
};
} else
{
while (op2->Next->Pt.X >= Pt.X &&
op2->Next->Pt.X <= op2->Pt.X && op2->Next->Pt.Y == Pt.Y)
op2 = op2->Next;
if (!DiscardLeft && (op2->Pt.X != Pt.X)) op2 = op2->Next;
op2b = this->DupOutPt(op2, DiscardLeft);
if (op2b->Pt != Pt)
{
op2 = op2b;
op2->Pt = Pt;
op2b = this->DupOutPt(op2, DiscardLeft);
};
};
if ((Dir1 == dLeftToRight) == DiscardLeft)
{
op1->Prev = op2;
op2->Next = op1;
op1b->Next = op2b;
op2b->Prev = op1b;
}
else
{
op1->Next = op2;
op2->Prev = op1;
op1b->Prev = op2b;
op2b->Next = op1b;
}
return true;
}
//------------------------------------------------------------------------------
bool Clipper::JoinPoints(Join *j, OutRec* outRec1, OutRec* outRec2)
{
OutPt *op1 = j->OutPt1, *op1b;
OutPt *op2 = j->OutPt2, *op2b;
//There are 3 kinds of joins for output polygons ...
//1. Horizontal joins where Join.OutPt1 & Join.OutPt2 are vertices anywhere
//along (horizontal) collinear edges (& Join.OffPt is on the same horizontal).
//2. Non-horizontal joins where Join.OutPt1 & Join.OutPt2 are at the same
//location at the Bottom of the overlapping segment (& Join.OffPt is above).
//3. StrictSimple joins where edges touch but are not collinear and where
//Join.OutPt1, Join.OutPt2 & Join.OffPt all share the same point.
bool isHorizontal = (j->OutPt1->Pt.Y == j->OffPt.Y);
if (isHorizontal && (j->OffPt == j->OutPt1->Pt) &&
(j->OffPt == j->OutPt2->Pt))
{
//Strictly Simple join ...
if (outRec1 != outRec2) return false;
op1b = j->OutPt1->Next;
while (op1b != op1 && (op1b->Pt == j->OffPt))
op1b = op1b->Next;
bool reverse1 = (op1b->Pt.Y > j->OffPt.Y);
op2b = j->OutPt2->Next;
while (op2b != op2 && (op2b->Pt == j->OffPt))
op2b = op2b->Next;
bool reverse2 = (op2b->Pt.Y > j->OffPt.Y);
if (reverse1 == reverse2) return false;
if (reverse1)
{
op1b = this->DupOutPt(op1, false);
op2b = this->DupOutPt(op2, true);
op1->Prev = op2;
op2->Next = op1;
op1b->Next = op2b;
op2b->Prev = op1b;
j->OutPt1 = op1;
j->OutPt2 = op1b;
return true;
} else
{
op1b = this->DupOutPt(op1, true);
op2b = this->DupOutPt(op2, false);
op1->Next = op2;
op2->Prev = op1;
op1b->Prev = op2b;
op2b->Next = op1b;
j->OutPt1 = op1;
j->OutPt2 = op1b;
return true;
}
}
else if (isHorizontal)
{
//treat horizontal joins differently to non-horizontal joins since with
//them we're not yet sure where the overlapping is. OutPt1.Pt & OutPt2.Pt
//may be anywhere along the horizontal edge.
op1b = op1;
while (op1->Prev->Pt.Y == op1->Pt.Y && op1->Prev != op1b && op1->Prev != op2)
op1 = op1->Prev;
while (op1b->Next->Pt.Y == op1b->Pt.Y && op1b->Next != op1 && op1b->Next != op2)
op1b = op1b->Next;
if (op1b->Next == op1 || op1b->Next == op2) return false; //a flat 'polygon'
op2b = op2;
while (op2->Prev->Pt.Y == op2->Pt.Y && op2->Prev != op2b && op2->Prev != op1b)
op2 = op2->Prev;
while (op2b->Next->Pt.Y == op2b->Pt.Y && op2b->Next != op2 && op2b->Next != op1)
op2b = op2b->Next;
if (op2b->Next == op2 || op2b->Next == op1) return false; //a flat 'polygon'
cInt Left, Right;
//Op1 --> Op1b & Op2 --> Op2b are the extremites of the horizontal edges
if (!GetOverlap(op1->Pt.X, op1b->Pt.X, op2->Pt.X, op2b->Pt.X, Left, Right))
return false;
//DiscardLeftSide: when overlapping edges are joined, a spike will created
//which needs to be cleaned up. However, we don't want Op1 or Op2 caught up
//on the discard Side as either may still be needed for other joins ...
IntPoint Pt;
bool DiscardLeftSide;
if (op1->Pt.X >= Left && op1->Pt.X <= Right)
{
Pt = op1->Pt; DiscardLeftSide = (op1->Pt.X > op1b->Pt.X);
}
else if (op2->Pt.X >= Left&& op2->Pt.X <= Right)
{
Pt = op2->Pt; DiscardLeftSide = (op2->Pt.X > op2b->Pt.X);
}
else if (op1b->Pt.X >= Left && op1b->Pt.X <= Right)
{
Pt = op1b->Pt; DiscardLeftSide = op1b->Pt.X > op1->Pt.X;
}
else
{
Pt = op2b->Pt; DiscardLeftSide = (op2b->Pt.X > op2->Pt.X);
}
j->OutPt1 = op1; j->OutPt2 = op2;
return JoinHorz(op1, op1b, op2, op2b, Pt, DiscardLeftSide);
} else
{
//nb: For non-horizontal joins ...
// 1. Jr.OutPt1.Pt.Y == Jr.OutPt2.Pt.Y
// 2. Jr.OutPt1.Pt > Jr.OffPt.Y
//make sure the polygons are correctly oriented ...
op1b = op1->Next;
while ((op1b->Pt == op1->Pt) && (op1b != op1)) op1b = op1b->Next;
bool Reverse1 = ((op1b->Pt.Y > op1->Pt.Y) ||
!SlopesEqual(op1->Pt, op1b->Pt, j->OffPt, m_UseFullRange));
if (Reverse1)
{
op1b = op1->Prev;
while ((op1b->Pt == op1->Pt) && (op1b != op1)) op1b = op1b->Prev;
if ((op1b->Pt.Y > op1->Pt.Y) ||
!SlopesEqual(op1->Pt, op1b->Pt, j->OffPt, m_UseFullRange)) return false;
};
op2b = op2->Next;
while ((op2b->Pt == op2->Pt) && (op2b != op2))op2b = op2b->Next;
bool Reverse2 = ((op2b->Pt.Y > op2->Pt.Y) ||
!SlopesEqual(op2->Pt, op2b->Pt, j->OffPt, m_UseFullRange));
if (Reverse2)
{
op2b = op2->Prev;
while ((op2b->Pt == op2->Pt) && (op2b != op2)) op2b = op2b->Prev;
if ((op2b->Pt.Y > op2->Pt.Y) ||
!SlopesEqual(op2->Pt, op2b->Pt, j->OffPt, m_UseFullRange)) return false;
}
if ((op1b == op1) || (op2b == op2) || (op1b == op2b) ||
((outRec1 == outRec2) && (Reverse1 == Reverse2))) return false;
if (Reverse1)
{
op1b = this->DupOutPt(op1, false);
op2b = this->DupOutPt(op2, true);
op1->Prev = op2;
op2->Next = op1;
op1b->Next = op2b;
op2b->Prev = op1b;
j->OutPt1 = op1;
j->OutPt2 = op1b;
return true;
} else
{
op1b = this->DupOutPt(op1, true);
op2b = this->DupOutPt(op2, false);
op1->Next = op2;
op2->Prev = op1;
op1b->Prev = op2b;
op2b->Next = op1b;
j->OutPt1 = op1;
j->OutPt2 = op1b;
return true;
}
}
}
//----------------------------------------------------------------------
// This is potentially very expensive! O(n^3)!
void Clipper::FixupFirstLefts1(OutRec* OldOutRec, OutRec* NewOutRec) const
{
PROFILE_FUNC();
//tests if NewOutRec contains the polygon before reassigning FirstLeft
for (OutRec *outRec : m_PolyOuts)
{
if (!outRec->Pts || !outRec->FirstLeft) continue;
OutRec* firstLeft = outRec->FirstLeft;
// Skip empty polygons.
while (firstLeft && !firstLeft->Pts) firstLeft = firstLeft->FirstLeft;
if (firstLeft == OldOutRec && Poly2ContainsPoly1(outRec->Pts, NewOutRec->Pts))
outRec->FirstLeft = NewOutRec;
}
}
//----------------------------------------------------------------------
void Clipper::FixupFirstLefts2(OutRec* OldOutRec, OutRec* NewOutRec) const
{
//reassigns FirstLeft WITHOUT testing if NewOutRec contains the polygon
for (OutRec *outRec : m_PolyOuts)
if (outRec->FirstLeft == OldOutRec) outRec->FirstLeft = NewOutRec;
}
//----------------------------------------------------------------------
void Clipper::JoinCommonEdges()
{
PROFILE_FUNC();
for (Join &join : m_Joins)
{
OutRec *outRec1 = GetOutRec(join.OutPt1->Idx);
OutRec *outRec2 = GetOutRec(join.OutPt2->Idx);
if (!outRec1->Pts || !outRec2->Pts) continue;
if (outRec1->IsOpen || outRec2->IsOpen) continue;
//get the polygon fragment with the correct hole state (FirstLeft)
//before calling JoinPoints() ...
OutRec *holeStateRec;
if (outRec1 == outRec2) holeStateRec = outRec1;
else if (Param1RightOfParam2(outRec1, outRec2)) holeStateRec = outRec2;
else if (Param1RightOfParam2(outRec2, outRec1)) holeStateRec = outRec1;
else holeStateRec = GetLowermostRec(outRec1, outRec2);
if (!JoinPoints(&join, outRec1, outRec2)) continue;
if (outRec1 == outRec2)
{
//instead of joining two polygons, we've just created a new one by
//splitting one polygon into two.
outRec1->Pts = join.OutPt1;
outRec1->BottomPt = 0;
outRec2 = CreateOutRec();
outRec2->Pts = join.OutPt2;
//update all OutRec2.Pts Idx's ...
UpdateOutPtIdxs(*outRec2);
//We now need to check every OutRec.FirstLeft pointer. If it points
//to OutRec1 it may need to point to OutRec2 instead ...
if (m_UsingPolyTree)
for (size_t j = 0; j < m_PolyOuts.size() - 1; j++)
{
OutRec* oRec = m_PolyOuts[j];
OutRec* firstLeft = oRec->FirstLeft;
while (firstLeft && !firstLeft->Pts) firstLeft = firstLeft->FirstLeft;
if (!oRec->Pts || firstLeft != outRec1 ||
oRec->IsHole == outRec1->IsHole) continue;
if (Poly2ContainsPoly1(oRec->Pts, join.OutPt2))
oRec->FirstLeft = outRec2;
}
if (Poly2ContainsPoly1(outRec2->Pts, outRec1->Pts))
{
//outRec2 is contained by outRec1 ...
outRec2->IsHole = !outRec1->IsHole;
outRec2->FirstLeft = outRec1;
// For each m_PolyOuts, replace FirstLeft from outRec2 to outRec1.
if (m_UsingPolyTree) FixupFirstLefts2(outRec2, outRec1);
if ((outRec2->IsHole ^ m_ReverseOutput) == (Area(*outRec2) > 0))
ReversePolyPtLinks(outRec2->Pts);
} else if (Poly2ContainsPoly1(outRec1->Pts, outRec2->Pts))
{
//outRec1 is contained by outRec2 ...
outRec2->IsHole = outRec1->IsHole;
outRec1->IsHole = !outRec2->IsHole;
outRec2->FirstLeft = outRec1->FirstLeft;
outRec1->FirstLeft = outRec2;
// For each m_PolyOuts, replace FirstLeft from outRec1 to outRec2.
if (m_UsingPolyTree) FixupFirstLefts2(outRec1, outRec2);
if ((outRec1->IsHole ^ m_ReverseOutput) == (Area(*outRec1) > 0))
ReversePolyPtLinks(outRec1->Pts);
}
else
{
//the 2 polygons are completely separate ...
outRec2->IsHole = outRec1->IsHole;
outRec2->FirstLeft = outRec1->FirstLeft;
//fixup FirstLeft pointers that may need reassigning to OutRec2
// For each polygon of m_PolyOuts, replace FirstLeft from outRec1 to outRec2 if the polygon is inside outRec2.
//FIXME This is potentially very expensive! O(n^3)!
if (m_UsingPolyTree) FixupFirstLefts1(outRec1, outRec2);
}
} else
{
//joined 2 polygons together ...
outRec2->Pts = 0;
outRec2->BottomPt = 0;
outRec2->Idx = outRec1->Idx;
outRec1->IsHole = holeStateRec->IsHole;
if (holeStateRec == outRec2)
outRec1->FirstLeft = outRec2->FirstLeft;
outRec2->FirstLeft = outRec1;
// For each m_PolyOuts, replace FirstLeft from outRec2 to outRec1.
if (m_UsingPolyTree) FixupFirstLefts2(outRec2, outRec1);
}
}
}
//------------------------------------------------------------------------------
// ClipperOffset support functions ...
//------------------------------------------------------------------------------
DoublePoint GetUnitNormal(const IntPoint &pt1, const IntPoint &pt2)
{
if(pt2.X == pt1.X && pt2.Y == pt1.Y)
return DoublePoint(0, 0);
double Dx = (double)(pt2.X - pt1.X);
double dy = (double)(pt2.Y - pt1.Y);
double f = 1 *1.0/ std::sqrt( Dx*Dx + dy*dy );
Dx *= f;
dy *= f;
return DoublePoint(dy, -Dx);
}
//------------------------------------------------------------------------------
// ClipperOffset class
//------------------------------------------------------------------------------
void ClipperOffset::Clear()
{
for (int i = 0; i < m_polyNodes.ChildCount(); ++i)
delete m_polyNodes.Childs[i];
m_polyNodes.Childs.clear();
m_lowest.X = -1;
}
//------------------------------------------------------------------------------
void ClipperOffset::AddPath(const Path& path, JoinType joinType, EndType endType)
{
int highI = (int)path.size() - 1;
if (highI < 0) return;
PolyNode* newNode = new PolyNode();
newNode->m_jointype = joinType;
newNode->m_endtype = endType;
//strip duplicate points from path and also get index to the lowest point ...
bool has_shortest_edge_length = ShortestEdgeLength > 0.;
double shortest_edge_length2 = has_shortest_edge_length ? ShortestEdgeLength * ShortestEdgeLength : 0.;
if (endType == etClosedLine || endType == etClosedPolygon)
for (; highI > 0; -- highI) {
bool same = false;
if (has_shortest_edge_length) {
double dx = double(path[highI].X - path[0].X);
double dy = double(path[highI].Y - path[0].Y);
same = dx*dx + dy*dy < shortest_edge_length2;
} else
same = path[0] == path[highI];
if (! same)
break;
}
newNode->Contour.reserve(highI + 1);
newNode->Contour.push_back(path[0]);
int j = 0, k = 0;
for (int i = 1; i <= highI; i++) {
bool same = false;
if (has_shortest_edge_length) {
double dx = double(path[i].X - newNode->Contour[j].X);
double dy = double(path[i].Y - newNode->Contour[j].Y);
same = dx*dx + dy*dy < shortest_edge_length2;
} else
same = newNode->Contour[j] == path[i];
if (same)
continue;
j++;
newNode->Contour.push_back(path[i]);
if (path[i].Y > newNode->Contour[k].Y ||
(path[i].Y == newNode->Contour[k].Y &&
path[i].X < newNode->Contour[k].X)) k = j;
}
if (endType == etClosedPolygon && j < 2)
{
delete newNode;
return;
}
m_polyNodes.AddChild(*newNode);
//if this path's lowest pt is lower than all the others then update m_lowest
if (endType != etClosedPolygon) return;
if (m_lowest.X < 0)
m_lowest = IntPoint(m_polyNodes.ChildCount() - 1, k);
else
{
IntPoint ip = m_polyNodes.Childs[(int)m_lowest.X]->Contour[(int)m_lowest.Y];
if (newNode->Contour[k].Y > ip.Y ||
(newNode->Contour[k].Y == ip.Y &&
newNode->Contour[k].X < ip.X))
m_lowest = IntPoint(m_polyNodes.ChildCount() - 1, k);
}
}
//------------------------------------------------------------------------------
void ClipperOffset::AddPaths(const Paths& paths, JoinType joinType, EndType endType)
{
for (const Path &path : paths)
AddPath(path, joinType, endType);
}
//------------------------------------------------------------------------------
void ClipperOffset::FixOrientations()
{
//fixup orientations of all closed paths if the orientation of the
//closed path with the lowermost vertex is wrong ...
if (m_lowest.X >= 0 &&
!Orientation(m_polyNodes.Childs[(int)m_lowest.X]->Contour))
{
for (int i = 0; i < m_polyNodes.ChildCount(); ++i)
{
PolyNode& node = *m_polyNodes.Childs[i];
if (node.m_endtype == etClosedPolygon ||
(node.m_endtype == etClosedLine && Orientation(node.Contour)))
ReversePath(node.Contour);
}
} else
{
for (int i = 0; i < m_polyNodes.ChildCount(); ++i)
{
PolyNode& node = *m_polyNodes.Childs[i];
if (node.m_endtype == etClosedLine && !Orientation(node.Contour))
ReversePath(node.Contour);
}
}
}
//------------------------------------------------------------------------------
void ClipperOffset::Execute(Paths& solution, double delta)
{
solution.clear();
FixOrientations();
DoOffset(delta);
//now clean up 'corners' ...
Clipper clpr;
clpr.AddPaths(m_destPolys, ptSubject, true);
if (delta > 0)
{
clpr.Execute(ctUnion, solution, pftPositive, pftPositive);
}
else
{
IntRect r = clpr.GetBounds();
Path outer(4);
outer[0] = IntPoint(r.left - 10, r.bottom + 10);
outer[1] = IntPoint(r.right + 10, r.bottom + 10);
outer[2] = IntPoint(r.right + 10, r.top - 10);
outer[3] = IntPoint(r.left - 10, r.top - 10);
clpr.AddPath(outer, ptSubject, true);
clpr.ReverseSolution(true);
clpr.Execute(ctUnion, solution, pftNegative, pftNegative);
if (solution.size() > 0) solution.erase(solution.begin());
}
}
//------------------------------------------------------------------------------
void ClipperOffset::Execute(PolyTree& solution, double delta)
{
solution.Clear();
FixOrientations();
DoOffset(delta);
//now clean up 'corners' ...
Clipper clpr;
clpr.AddPaths(m_destPolys, ptSubject, true);
if (delta > 0)
{
clpr.Execute(ctUnion, solution, pftPositive, pftPositive);
}
else
{
IntRect r = clpr.GetBounds();
Path outer(4);
outer[0] = IntPoint(r.left - 10, r.bottom + 10);
outer[1] = IntPoint(r.right + 10, r.bottom + 10);
outer[2] = IntPoint(r.right + 10, r.top - 10);
outer[3] = IntPoint(r.left - 10, r.top - 10);
clpr.AddPath(outer, ptSubject, true);
clpr.ReverseSolution(true);
clpr.Execute(ctUnion, solution, pftNegative, pftNegative);
//remove the outer PolyNode rectangle ...
if (solution.ChildCount() == 1 && solution.Childs[0]->ChildCount() > 0)
{
PolyNode* outerNode = solution.Childs[0];
solution.Childs.reserve(outerNode->ChildCount());
solution.Childs[0] = outerNode->Childs[0];
solution.Childs[0]->Parent = outerNode->Parent;
for (int i = 1; i < outerNode->ChildCount(); ++i)
solution.AddChild(*outerNode->Childs[i]);
}
else
solution.Clear();
}
}
//------------------------------------------------------------------------------
void ClipperOffset::DoOffset(double delta)
{
m_destPolys.clear();
m_delta = delta;
//if Zero offset, just copy any CLOSED polygons to m_p and return ...
if (NEAR_ZERO(delta))
{
m_destPolys.reserve(m_polyNodes.ChildCount());
for (int i = 0; i < m_polyNodes.ChildCount(); i++)
{
PolyNode& node = *m_polyNodes.Childs[i];
if (node.m_endtype == etClosedPolygon)
m_destPolys.push_back(node.Contour);
}
return;
}
//see offset_triginometry3.svg in the documentation folder ...
if (MiterLimit > 2) m_miterLim = 2/(MiterLimit * MiterLimit);
else m_miterLim = 0.5;
double y;
if (ArcTolerance <= 0.0) y = def_arc_tolerance;
else if (ArcTolerance > std::fabs(delta) * def_arc_tolerance)
y = std::fabs(delta) * def_arc_tolerance;
else y = ArcTolerance;
//see offset_triginometry2.svg in the documentation folder ...
double steps = pi / std::acos(1 - y / std::fabs(delta));
if (steps > std::fabs(delta) * pi)
steps = std::fabs(delta) * pi; //ie excessive precision check
m_sin = std::sin(two_pi / steps);
m_cos = std::cos(two_pi / steps);
m_StepsPerRad = steps / two_pi;
if (delta < 0.0) m_sin = -m_sin;
m_destPolys.reserve(m_polyNodes.ChildCount() * 2);
for (int i = 0; i < m_polyNodes.ChildCount(); i++)
{
PolyNode& node = *m_polyNodes.Childs[i];
m_srcPoly = node.Contour;
int len = (int)m_srcPoly.size();
if (len == 0 || (delta <= 0 && (len < 3 || node.m_endtype != etClosedPolygon)))
continue;
m_destPoly.clear();
if (len == 1)
{
if (node.m_jointype == jtRound)
{
double X = 1.0, Y = 0.0;
for (cInt j = 1; j <= steps; j++)
{
m_destPoly.push_back(IntPoint(
Round(m_srcPoly[0].X + X * delta),
Round(m_srcPoly[0].Y + Y * delta)));
double X2 = X;
X = X * m_cos - m_sin * Y;
Y = X2 * m_sin + Y * m_cos;
}
}
else
{
double X = -1.0, Y = -1.0;
for (int j = 0; j < 4; ++j)
{
m_destPoly.push_back(IntPoint(
Round(m_srcPoly[0].X + X * delta),
Round(m_srcPoly[0].Y + Y * delta)));
if (X < 0) X = 1;
else if (Y < 0) Y = 1;
else X = -1;
}
}
m_destPolys.push_back(m_destPoly);
continue;
}
//build m_normals ...
m_normals.clear();
m_normals.reserve(len);
for (int j = 0; j < len - 1; ++j)
m_normals.push_back(GetUnitNormal(m_srcPoly[j], m_srcPoly[j + 1]));
if (node.m_endtype == etClosedLine || node.m_endtype == etClosedPolygon)
m_normals.push_back(GetUnitNormal(m_srcPoly[len - 1], m_srcPoly[0]));
else
m_normals.push_back(DoublePoint(m_normals[len - 2]));
if (node.m_endtype == etClosedPolygon)
{
int k = len - 1;
for (int j = 0; j < len; ++j)
OffsetPoint(j, k, node.m_jointype);
m_destPolys.push_back(m_destPoly);
}
else if (node.m_endtype == etClosedLine)
{
int k = len - 1;
for (int j = 0; j < len; ++j)
OffsetPoint(j, k, node.m_jointype);
m_destPolys.push_back(m_destPoly);
m_destPoly.clear();
//re-build m_normals ...
DoublePoint n = m_normals[len -1];
for (int j = len - 1; j > 0; j--)
m_normals[j] = DoublePoint(-m_normals[j - 1].X, -m_normals[j - 1].Y);
m_normals[0] = DoublePoint(-n.X, -n.Y);
k = 0;
for (int j = len - 1; j >= 0; j--)
OffsetPoint(j, k, node.m_jointype);
m_destPolys.push_back(m_destPoly);
}
else
{
int k = 0;
for (int j = 1; j < len - 1; ++j)
OffsetPoint(j, k, node.m_jointype);
IntPoint pt1;
if (node.m_endtype == etOpenButt)
{
int j = len - 1;
pt1 = IntPoint(Round(m_srcPoly[j].X + m_normals[j].X *
delta), Round(m_srcPoly[j].Y + m_normals[j].Y * delta));
m_destPoly.push_back(pt1);
pt1 = IntPoint(Round(m_srcPoly[j].X - m_normals[j].X *
delta), Round(m_srcPoly[j].Y - m_normals[j].Y * delta));
m_destPoly.push_back(pt1);
}
else
{
int j = len - 1;
k = len - 2;
m_sinA = 0;
m_normals[j] = DoublePoint(-m_normals[j].X, -m_normals[j].Y);
if (node.m_endtype == etOpenSquare)
DoSquare(j, k);
else
DoRound(j, k);
}
//re-build m_normals ...
for (int j = len - 1; j > 0; j--)
m_normals[j] = DoublePoint(-m_normals[j - 1].X, -m_normals[j - 1].Y);
m_normals[0] = DoublePoint(-m_normals[1].X, -m_normals[1].Y);
k = len - 1;
for (int j = k - 1; j > 0; --j) OffsetPoint(j, k, node.m_jointype);
if (node.m_endtype == etOpenButt)
{
pt1 = IntPoint(Round(m_srcPoly[0].X - m_normals[0].X * delta),
Round(m_srcPoly[0].Y - m_normals[0].Y * delta));
m_destPoly.push_back(pt1);
pt1 = IntPoint(Round(m_srcPoly[0].X + m_normals[0].X * delta),
Round(m_srcPoly[0].Y + m_normals[0].Y * delta));
m_destPoly.push_back(pt1);
}
else
{
k = 1;
m_sinA = 0;
if (node.m_endtype == etOpenSquare)
DoSquare(0, 1);
else
DoRound(0, 1);
}
m_destPolys.push_back(m_destPoly);
}
}
}
//------------------------------------------------------------------------------
void ClipperOffset::OffsetPoint(int j, int& k, JoinType jointype)
{
//cross product ...
m_sinA = (m_normals[k].X * m_normals[j].Y - m_normals[j].X * m_normals[k].Y);
if (std::fabs(m_sinA * m_delta) < 1.0)
{
//dot product ...
double cosA = (m_normals[k].X * m_normals[j].X + m_normals[j].Y * m_normals[k].Y );
if (cosA > 0) // angle => 0 degrees
{
m_destPoly.push_back(IntPoint(Round(m_srcPoly[j].X + m_normals[k].X * m_delta),
Round(m_srcPoly[j].Y + m_normals[k].Y * m_delta)));
return;
}
//else angle => 180 degrees
}
else if (m_sinA > 1.0) m_sinA = 1.0;
else if (m_sinA < -1.0) m_sinA = -1.0;
if (m_sinA * m_delta < 0)
{
m_destPoly.push_back(IntPoint(Round(m_srcPoly[j].X + m_normals[k].X * m_delta),
Round(m_srcPoly[j].Y + m_normals[k].Y * m_delta)));
m_destPoly.push_back(m_srcPoly[j]);
m_destPoly.push_back(IntPoint(Round(m_srcPoly[j].X + m_normals[j].X * m_delta),
Round(m_srcPoly[j].Y + m_normals[j].Y * m_delta)));
}
else
switch (jointype)
{
case jtMiter:
{
double r = 1 + (m_normals[j].X * m_normals[k].X +
m_normals[j].Y * m_normals[k].Y);
if (r >= m_miterLim) DoMiter(j, k, r); else DoSquare(j, k);
break;
}
case jtSquare: DoSquare(j, k); break;
case jtRound: DoRound(j, k); break;
}
k = j;
}
//------------------------------------------------------------------------------
void ClipperOffset::DoSquare(int j, int k)
{
double dx = std::tan(std::atan2(m_sinA,
m_normals[k].X * m_normals[j].X + m_normals[k].Y * m_normals[j].Y) / 4);
m_destPoly.push_back(IntPoint(
Round(m_srcPoly[j].X + m_delta * (m_normals[k].X - m_normals[k].Y * dx)),
Round(m_srcPoly[j].Y + m_delta * (m_normals[k].Y + m_normals[k].X * dx))));
m_destPoly.push_back(IntPoint(
Round(m_srcPoly[j].X + m_delta * (m_normals[j].X + m_normals[j].Y * dx)),
Round(m_srcPoly[j].Y + m_delta * (m_normals[j].Y - m_normals[j].X * dx))));
}
//------------------------------------------------------------------------------
void ClipperOffset::DoMiter(int j, int k, double r)
{
double q = m_delta / r;
m_destPoly.push_back(IntPoint(Round(m_srcPoly[j].X + (m_normals[k].X + m_normals[j].X) * q),
Round(m_srcPoly[j].Y + (m_normals[k].Y + m_normals[j].Y) * q)));
}
//------------------------------------------------------------------------------
void ClipperOffset::DoRound(int j, int k)
{
double a = std::atan2(m_sinA,
m_normals[k].X * m_normals[j].X + m_normals[k].Y * m_normals[j].Y);
int steps = std::max((int)Round(m_StepsPerRad * std::fabs(a)), 1);
double X = m_normals[k].X, Y = m_normals[k].Y, X2;
for (int i = 0; i < steps; ++i)
{
m_destPoly.push_back(IntPoint(
Round(m_srcPoly[j].X + X * m_delta),
Round(m_srcPoly[j].Y + Y * m_delta)));
X2 = X;
X = X * m_cos - m_sin * Y;
Y = X2 * m_sin + Y * m_cos;
}
m_destPoly.push_back(IntPoint(
Round(m_srcPoly[j].X + m_normals[j].X * m_delta),
Round(m_srcPoly[j].Y + m_normals[j].Y * m_delta)));
}
//------------------------------------------------------------------------------
// Miscellaneous public functions
//------------------------------------------------------------------------------
// Called by Clipper::ExecuteInternal()
// For each polygon, search for exactly duplicate non-successive points.
// If such a point is found, the loop is split into two pieces.
// Search for the duplicate points is O(n^2)!
// http://www.angusj.com/delphi/clipper/documentation/Docs/Units/ClipperLib/Classes/Clipper/Properties/StrictlySimple.htm
void Clipper::DoSimplePolygons()
{
PROFILE_FUNC();
size_t i = 0;
while (i < m_PolyOuts.size())
{
OutRec* outrec = m_PolyOuts[i++];
OutPt* op = outrec->Pts;
if (!op || outrec->IsOpen) continue;
do //for each Pt in Polygon until duplicate found do ...
{
OutPt* op2 = op->Next;
while (op2 != outrec->Pts)
{
if ((op->Pt == op2->Pt) && op2->Next != op && op2->Prev != op)
{
//split the polygon into two ...
OutPt* op3 = op->Prev;
OutPt* op4 = op2->Prev;
op->Prev = op4;
op4->Next = op;
op2->Prev = op3;
op3->Next = op2;
outrec->Pts = op;
OutRec* outrec2 = CreateOutRec();
outrec2->Pts = op2;
UpdateOutPtIdxs(*outrec2);
if (Poly2ContainsPoly1(outrec2->Pts, outrec->Pts))
{
//OutRec2 is contained by OutRec1 ...
outrec2->IsHole = !outrec->IsHole;
outrec2->FirstLeft = outrec;
// For each m_PolyOuts, replace FirstLeft from outRec2 to outrec.
if (m_UsingPolyTree) FixupFirstLefts2(outrec2, outrec);
}
else
if (Poly2ContainsPoly1(outrec->Pts, outrec2->Pts))
{
//OutRec1 is contained by OutRec2 ...
outrec2->IsHole = outrec->IsHole;
outrec->IsHole = !outrec2->IsHole;
outrec2->FirstLeft = outrec->FirstLeft;
outrec->FirstLeft = outrec2;
// For each m_PolyOuts, replace FirstLeft from outrec to outrec2.
if (m_UsingPolyTree) FixupFirstLefts2(outrec, outrec2);
}
else
{
//the 2 polygons are separate ...
outrec2->IsHole = outrec->IsHole;
outrec2->FirstLeft = outrec->FirstLeft;
// For each polygon of m_PolyOuts, replace FirstLeft from outrec to outrec2 if the polygon is inside outRec2.
//FIXME This is potentially very expensive! O(n^3)!
if (m_UsingPolyTree) FixupFirstLefts1(outrec, outrec2);
}
op2 = op; //ie get ready for the Next iteration
}
op2 = op2->Next;
}
op = op->Next;
}
while (op != outrec->Pts);
}
}
//------------------------------------------------------------------------------
void ReversePath(Path& p)
{
std::reverse(p.begin(), p.end());
}
//------------------------------------------------------------------------------
void ReversePaths(Paths& p)
{
for (Paths::size_type i = 0; i < p.size(); ++i)
ReversePath(p[i]);
}
//------------------------------------------------------------------------------
void SimplifyPolygon(const Path &in_poly, Paths &out_polys, PolyFillType fillType)
{
Clipper c;
c.StrictlySimple(true);
c.AddPath(in_poly, ptSubject, true);
c.Execute(ctUnion, out_polys, fillType, fillType);
}
//------------------------------------------------------------------------------
void SimplifyPolygons(const Paths &in_polys, Paths &out_polys, PolyFillType fillType)
{
Clipper c;
c.StrictlySimple(true);
c.AddPaths(in_polys, ptSubject, true);
c.Execute(ctUnion, out_polys, fillType, fillType);
}
//------------------------------------------------------------------------------
void SimplifyPolygons(Paths &polys, PolyFillType fillType)
{
SimplifyPolygons(polys, polys, fillType);
}
//------------------------------------------------------------------------------
inline double DistanceSqrd(const IntPoint& pt1, const IntPoint& pt2)
{
double Dx = ((double)pt1.X - pt2.X);
double dy = ((double)pt1.Y - pt2.Y);
return (Dx*Dx + dy*dy);
}
//------------------------------------------------------------------------------
double DistanceFromLineSqrd(
const IntPoint& pt, const IntPoint& ln1, const IntPoint& ln2)
{
//The equation of a line in general form (Ax + By + C = 0)
//given 2 points (x<>,y<>) & (x<>,y<>) is ...
//(y<> - y<>)x + (x<> - x<>)y + (y<> - y<>)x<> - (x<> - x<>)y<> = 0
//A = (y<> - y<>); B = (x<> - x<>); C = (y<> - y<>)x<> - (x<> - x<>)y<>
//perpendicular distance of point (x<>,y<>) = (Ax<41> + By<42> + C)/Sqrt(A<> + B<>)
//see http://en.wikipedia.org/wiki/Perpendicular_distance
double A = double(ln1.Y - ln2.Y);
double B = double(ln2.X - ln1.X);
double C = A * ln1.X + B * ln1.Y;
C = A * pt.X + B * pt.Y - C;
return (C * C) / (A * A + B * B);
}
//---------------------------------------------------------------------------
bool SlopesNearCollinear(const IntPoint& pt1,
const IntPoint& pt2, const IntPoint& pt3, double distSqrd)
{
//this function is more accurate when the point that's geometrically
//between the other 2 points is the one that's tested for distance.
//ie makes it more likely to pick up 'spikes' ...
if (std::abs(pt1.X - pt2.X) > std::abs(pt1.Y - pt2.Y))
{
if ((pt1.X > pt2.X) == (pt1.X < pt3.X))
return DistanceFromLineSqrd(pt1, pt2, pt3) < distSqrd;
else if ((pt2.X > pt1.X) == (pt2.X < pt3.X))
return DistanceFromLineSqrd(pt2, pt1, pt3) < distSqrd;
else
return DistanceFromLineSqrd(pt3, pt1, pt2) < distSqrd;
}
else
{
if ((pt1.Y > pt2.Y) == (pt1.Y < pt3.Y))
return DistanceFromLineSqrd(pt1, pt2, pt3) < distSqrd;
else if ((pt2.Y > pt1.Y) == (pt2.Y < pt3.Y))
return DistanceFromLineSqrd(pt2, pt1, pt3) < distSqrd;
else
return DistanceFromLineSqrd(pt3, pt1, pt2) < distSqrd;
}
}
//------------------------------------------------------------------------------
bool PointsAreClose(IntPoint pt1, IntPoint pt2, double distSqrd)
{
double Dx = (double)pt1.X - pt2.X;
double dy = (double)pt1.Y - pt2.Y;
return ((Dx * Dx) + (dy * dy) <= distSqrd);
}
//------------------------------------------------------------------------------
OutPt* ExcludeOp(OutPt* op)
{
OutPt* result = op->Prev;
result->Next = op->Next;
op->Next->Prev = result;
result->Idx = 0;
return result;
}
//------------------------------------------------------------------------------
// Simplify a polygon using a linked list of points.
void CleanPolygon(const Path& in_poly, Path& out_poly, double distance)
{
//distance = proximity in units/pixels below which vertices
//will be stripped. Default ~= sqrt(2).
size_t size = in_poly.size();
if (size == 0)
{
out_poly.clear();
return;
}
std::vector<OutPt> outPts(size);
for (size_t i = 0; i < size; ++i)
{
outPts[i].Pt = in_poly[i];
outPts[i].Next = &outPts[(i + 1) % size];
outPts[i].Next->Prev = &outPts[i];
outPts[i].Idx = 0;
}
double distSqrd = distance * distance;
OutPt* op = &outPts[0];
while (op->Idx == 0 && op->Next != op->Prev)
{
if (PointsAreClose(op->Pt, op->Prev->Pt, distSqrd))
{
op = ExcludeOp(op);
size--;
}
else if (PointsAreClose(op->Prev->Pt, op->Next->Pt, distSqrd))
{
ExcludeOp(op->Next);
op = ExcludeOp(op);
size -= 2;
}
else if (SlopesNearCollinear(op->Prev->Pt, op->Pt, op->Next->Pt, distSqrd))
{
op = ExcludeOp(op);
size--;
}
else
{
op->Idx = 1;
op = op->Next;
}
}
if (size < 3) size = 0;
out_poly.resize(size);
for (size_t i = 0; i < size; ++i)
{
out_poly[i] = op->Pt;
op = op->Next;
}
}
//------------------------------------------------------------------------------
void CleanPolygon(Path& poly, double distance)
{
CleanPolygon(poly, poly, distance);
}
//------------------------------------------------------------------------------
void CleanPolygons(const Paths& in_polys, Paths& out_polys, double distance)
{
for (Paths::size_type i = 0; i < in_polys.size(); ++i)
CleanPolygon(in_polys[i], out_polys[i], distance);
}
//------------------------------------------------------------------------------
void CleanPolygons(Paths& polys, double distance)
{
CleanPolygons(polys, polys, distance);
}
//------------------------------------------------------------------------------
void Minkowski(const Path& poly, const Path& path,
Paths& solution, bool isSum, bool isClosed)
{
int delta = (isClosed ? 1 : 0);
size_t polyCnt = poly.size();
size_t pathCnt = path.size();
Paths pp;
pp.reserve(pathCnt);
if (isSum)
for (size_t i = 0; i < pathCnt; ++i)
{
Path p;
p.reserve(polyCnt);
for (size_t j = 0; j < poly.size(); ++j)
p.push_back(IntPoint(path[i].X + poly[j].X, path[i].Y + poly[j].Y));
pp.push_back(p);
}
else
for (size_t i = 0; i < pathCnt; ++i)
{
Path p;
p.reserve(polyCnt);
for (size_t j = 0; j < poly.size(); ++j)
p.push_back(IntPoint(path[i].X - poly[j].X, path[i].Y - poly[j].Y));
pp.push_back(p);
}
solution.clear();
solution.reserve((pathCnt + delta) * (polyCnt + 1));
for (size_t i = 0; i < pathCnt - 1 + delta; ++i)
for (size_t j = 0; j < polyCnt; ++j)
{
Path quad;
quad.reserve(4);
quad.push_back(pp[i % pathCnt][j % polyCnt]);
quad.push_back(pp[(i + 1) % pathCnt][j % polyCnt]);
quad.push_back(pp[(i + 1) % pathCnt][(j + 1) % polyCnt]);
quad.push_back(pp[i % pathCnt][(j + 1) % polyCnt]);
if (!Orientation(quad)) ReversePath(quad);
solution.push_back(quad);
}
}
//------------------------------------------------------------------------------
void MinkowskiSum(const Path& pattern, const Path& path, Paths& solution, bool pathIsClosed)
{
Minkowski(pattern, path, solution, true, pathIsClosed);
Clipper c;
c.AddPaths(solution, ptSubject, true);
c.Execute(ctUnion, solution, pftNonZero, pftNonZero);
}
//------------------------------------------------------------------------------
void TranslatePath(const Path& input, Path& output, const IntPoint& delta)
{
//precondition: input != output
output.resize(input.size());
for (size_t i = 0; i < input.size(); ++i)
output[i] = IntPoint(input[i].X + delta.X, input[i].Y + delta.Y);
}
//------------------------------------------------------------------------------
void MinkowskiSum(const Path& pattern, const Paths& paths, Paths& solution, bool pathIsClosed)
{
Clipper c;
for (size_t i = 0; i < paths.size(); ++i)
{
Paths tmp;
Minkowski(pattern, paths[i], tmp, true, pathIsClosed);
c.AddPaths(tmp, ptSubject, true);
if (pathIsClosed)
{
Path tmp2;
TranslatePath(paths[i], tmp2, pattern[0]);
c.AddPath(tmp2, ptClip, true);
}
}
c.Execute(ctUnion, solution, pftNonZero, pftNonZero);
}
//------------------------------------------------------------------------------
void MinkowskiDiff(const Path& poly1, const Path& poly2, Paths& solution)
{
Minkowski(poly1, poly2, solution, false, true);
Clipper c;
c.AddPaths(solution, ptSubject, true);
c.Execute(ctUnion, solution, pftNonZero, pftNonZero);
}
//------------------------------------------------------------------------------
enum NodeType {ntAny, ntOpen, ntClosed};
void AddPolyNodeToPaths(const PolyNode& polynode, NodeType nodetype, Paths& paths)
{
bool match = true;
if (nodetype == ntClosed) match = !polynode.IsOpen();
else if (nodetype == ntOpen) return;
if (!polynode.Contour.empty() && match)
paths.push_back(polynode.Contour);
for (int i = 0; i < polynode.ChildCount(); ++i)
AddPolyNodeToPaths(*polynode.Childs[i], nodetype, paths);
}
//------------------------------------------------------------------------------
void PolyTreeToPaths(const PolyTree& polytree, Paths& paths)
{
paths.resize(0);
paths.reserve(polytree.Total());
AddPolyNodeToPaths(polytree, ntAny, paths);
}
//------------------------------------------------------------------------------
void ClosedPathsFromPolyTree(const PolyTree& polytree, Paths& paths)
{
paths.resize(0);
paths.reserve(polytree.Total());
AddPolyNodeToPaths(polytree, ntClosed, paths);
}
//------------------------------------------------------------------------------
void OpenPathsFromPolyTree(PolyTree& polytree, Paths& paths)
{
paths.resize(0);
paths.reserve(polytree.Total());
//Open paths are top level only, so ...
for (int i = 0; i < polytree.ChildCount(); ++i)
if (polytree.Childs[i]->IsOpen())
paths.push_back(polytree.Childs[i]->Contour);
}
//------------------------------------------------------------------------------
std::ostream& operator <<(std::ostream &s, const IntPoint &p)
{
s << "(" << p.X << "," << p.Y << ")";
return s;
}
//------------------------------------------------------------------------------
std::ostream& operator <<(std::ostream &s, const Path &p)
{
if (p.empty()) return s;
Path::size_type last = p.size() -1;
for (Path::size_type i = 0; i < last; i++)
s << "(" << p[i].X << "," << p[i].Y << "), ";
s << "(" << p[last].X << "," << p[last].Y << ")\n";
return s;
}
//------------------------------------------------------------------------------
std::ostream& operator <<(std::ostream &s, const Paths &p)
{
for (Paths::size_type i = 0; i < p.size(); i++)
s << p[i];
s << "\n";
return s;
}
//------------------------------------------------------------------------------
} //ClipperLib namespace