polygon: added poly2tri library.

Requied for constrained Delaunay triangulation (P&S/ratsnest) and zone tesselation (GAL).

polygon/CMakeLists.txt

@@ -9,6 +9,12 @@ set(POLYGON_SRCS
     PolyLine.cpp
     polygon_test_point_inside.cpp
     clipper.cpp
-    )
+    
+    poly2tri/common/shapes.cc
+    poly2tri/sweep/sweep.cc
+    poly2tri/sweep/cdt.cc
+    poly2tri/sweep/advancing_front.cc
+    poly2tri/sweep/sweep_context.cc
+)
 
 add_library(polygon STATIC ${POLYGON_SRCS})

polygon/poly2tri/common/shapes.cc

@@ -0,0 +1,367 @@
+/* 
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+#include "shapes.h"
+#include <iostream>
+
+namespace p2t {
+
+Triangle::Triangle(Point& a, Point& b, Point& c)
+{
+  points_[0] = &a; points_[1] = &b; points_[2] = &c;
+  neighbors_[0] = NULL; neighbors_[1] = NULL; neighbors_[2] = NULL;
+  constrained_edge[0] = constrained_edge[1] = constrained_edge[2] = false;
+  delaunay_edge[0] = delaunay_edge[1] = delaunay_edge[2] = false;
+  interior_ = false;
+}
+
+// Update neighbor pointers
+void Triangle::MarkNeighbor(Point* p1, Point* p2, Triangle* t)
+{
+  if ((p1 == points_[2] && p2 == points_[1]) || (p1 == points_[1] && p2 == points_[2]))
+    neighbors_[0] = t;
+  else if ((p1 == points_[0] && p2 == points_[2]) || (p1 == points_[2] && p2 == points_[0]))
+    neighbors_[1] = t;
+  else if ((p1 == points_[0] && p2 == points_[1]) || (p1 == points_[1] && p2 == points_[0]))
+    neighbors_[2] = t;
+  else
+    assert(0);
+}
+
+// Exhaustive search to update neighbor pointers
+void Triangle::MarkNeighbor(Triangle& t)
+{
+  if (t.Contains(points_[1], points_[2])) {
+    neighbors_[0] = &t;
+    t.MarkNeighbor(points_[1], points_[2], this);
+  } else if (t.Contains(points_[0], points_[2])) {
+    neighbors_[1] = &t;
+    t.MarkNeighbor(points_[0], points_[2], this);
+  } else if (t.Contains(points_[0], points_[1])) {
+    neighbors_[2] = &t;
+    t.MarkNeighbor(points_[0], points_[1], this);
+  }
+}
+
+/**
+ * Clears all references to all other triangles and points
+ */
+void Triangle::Clear()
+{
+    Triangle *t;
+    for( int i=0; i<3; i++ )
+    {
+        t = neighbors_[i];
+        if( t != NULL )
+        {
+            t->ClearNeighbor( this );
+        }
+    }
+    ClearNeighbors();
+    points_[0]=points_[1]=points_[2] = NULL;
+}
+
+void Triangle::ClearNeighbor(Triangle *triangle )
+{
+    if( neighbors_[0] == triangle )
+    {
+        neighbors_[0] = NULL;
+    }
+    else if( neighbors_[1] == triangle )
+    {
+        neighbors_[1] = NULL;            
+    }
+    else
+    {
+        neighbors_[2] = NULL;
+    }
+}
+    
+void Triangle::ClearNeighbors()
+{
+  neighbors_[0] = NULL;
+  neighbors_[1] = NULL;
+  neighbors_[2] = NULL;
+}
+
+void Triangle::ClearDelunayEdges()
+{
+  delaunay_edge[0] = delaunay_edge[1] = delaunay_edge[2] = false;
+}
+
+Point* Triangle::OppositePoint(Triangle& t, Point& p)
+{
+  Point *cw = t.PointCW(p);
+  double x = cw->x;
+  double y = cw->y;
+  x = p.x;
+  y = p.y;
+  return PointCW(*cw);
+}
+
+// Legalized triangle by rotating clockwise around point(0)
+void Triangle::Legalize(Point& point)
+{
+  points_[1] = points_[0];
+  points_[0] = points_[2];
+  points_[2] = &point;
+}
+
+// Legalize triagnle by rotating clockwise around oPoint
+void Triangle::Legalize(Point& opoint, Point& npoint)
+{
+  if (&opoint == points_[0]) {
+    points_[1] = points_[0];
+    points_[0] = points_[2];
+    points_[2] = &npoint;
+  } else if (&opoint == points_[1]) {
+    points_[2] = points_[1];
+    points_[1] = points_[0];
+    points_[0] = &npoint;
+  } else if (&opoint == points_[2]) {
+    points_[0] = points_[2];
+    points_[2] = points_[1];
+    points_[1] = &npoint;
+  } else {
+    assert(0);
+  }
+}
+
+int Triangle::Index(const Point* p)
+{
+  if (p == points_[0]) {
+    return 0;
+  } else if (p == points_[1]) {
+    return 1;
+  } else if (p == points_[2]) {
+    return 2;
+  }
+  assert(0);
+}
+
+int Triangle::EdgeIndex(const Point* p1, const Point* p2)
+{
+  if (points_[0] == p1) {
+    if (points_[1] == p2) {
+      return 2;
+    } else if (points_[2] == p2) {
+      return 1;
+    }
+  } else if (points_[1] == p1) {
+    if (points_[2] == p2) {
+      return 0;
+    } else if (points_[0] == p2) {
+      return 2;
+    }
+  } else if (points_[2] == p1) {
+    if (points_[0] == p2) {
+      return 1;
+    } else if (points_[1] == p2) {
+      return 0;
+    }
+  }
+  return -1;
+}
+
+void Triangle::MarkConstrainedEdge(const int index)
+{
+  constrained_edge[index] = true;
+}
+
+void Triangle::MarkConstrainedEdge(Edge& edge)
+{
+  MarkConstrainedEdge(edge.p, edge.q);
+}
+
+// Mark edge as constrained
+void Triangle::MarkConstrainedEdge(Point* p, Point* q)
+{
+  if ((q == points_[0] && p == points_[1]) || (q == points_[1] && p == points_[0])) {
+    constrained_edge[2] = true;
+  } else if ((q == points_[0] && p == points_[2]) || (q == points_[2] && p == points_[0])) {
+    constrained_edge[1] = true;
+  } else if ((q == points_[1] && p == points_[2]) || (q == points_[2] && p == points_[1])) {
+    constrained_edge[0] = true;
+  }
+}
+
+// The point counter-clockwise to given point
+Point* Triangle::PointCW(Point& point)
+{
+  if (&point == points_[0]) {
+    return points_[2];
+  } else if (&point == points_[1]) {
+    return points_[0];
+  } else if (&point == points_[2]) {
+    return points_[1];
+  }
+  assert(0);
+}
+
+// The point counter-clockwise to given point
+Point* Triangle::PointCCW(Point& point)
+{
+  if (&point == points_[0]) {
+    return points_[1];
+  } else if (&point == points_[1]) {
+    return points_[2];
+  } else if (&point == points_[2]) {
+    return points_[0];
+  }
+  assert(0);
+}
+
+// The neighbor clockwise to given point
+Triangle* Triangle::NeighborCW(Point& point)
+{
+  if (&point == points_[0]) {
+    return neighbors_[1];
+  } else if (&point == points_[1]) {
+    return neighbors_[2];
+  }
+  return neighbors_[0];
+}
+
+// The neighbor counter-clockwise to given point
+Triangle* Triangle::NeighborCCW(Point& point)
+{
+  if (&point == points_[0]) {
+    return neighbors_[2];
+  } else if (&point == points_[1]) {
+    return neighbors_[0];
+  }
+  return neighbors_[1];
+}
+
+bool Triangle::GetConstrainedEdgeCCW(Point& p)
+{
+  if (&p == points_[0]) {
+    return constrained_edge[2];
+  } else if (&p == points_[1]) {
+    return constrained_edge[0];
+  }
+  return constrained_edge[1];
+}
+
+bool Triangle::GetConstrainedEdgeCW(Point& p)
+{
+  if (&p == points_[0]) {
+    return constrained_edge[1];
+  } else if (&p == points_[1]) {
+    return constrained_edge[2];
+  }
+  return constrained_edge[0];
+}
+
+void Triangle::SetConstrainedEdgeCCW(Point& p, bool ce)
+{
+  if (&p == points_[0]) {
+    constrained_edge[2] = ce;
+  } else if (&p == points_[1]) {
+    constrained_edge[0] = ce;
+  } else {
+    constrained_edge[1] = ce;
+  }
+}
+
+void Triangle::SetConstrainedEdgeCW(Point& p, bool ce)
+{
+  if (&p == points_[0]) {
+    constrained_edge[1] = ce;
+  } else if (&p == points_[1]) {
+    constrained_edge[2] = ce;
+  } else {
+    constrained_edge[0] = ce;
+  }
+}
+
+bool Triangle::GetDelunayEdgeCCW(Point& p)
+{
+  if (&p == points_[0]) {
+    return delaunay_edge[2];
+  } else if (&p == points_[1]) {
+    return delaunay_edge[0];
+  }
+  return delaunay_edge[1];
+}
+
+bool Triangle::GetDelunayEdgeCW(Point& p)
+{
+  if (&p == points_[0]) {
+    return delaunay_edge[1];
+  } else if (&p == points_[1]) {
+    return delaunay_edge[2];
+  }
+  return delaunay_edge[0];
+}
+
+void Triangle::SetDelunayEdgeCCW(Point& p, bool e)
+{
+  if (&p == points_[0]) {
+    delaunay_edge[2] = e;
+  } else if (&p == points_[1]) {
+    delaunay_edge[0] = e;
+  } else {
+    delaunay_edge[1] = e;
+  }
+}
+
+void Triangle::SetDelunayEdgeCW(Point& p, bool e)
+{
+  if (&p == points_[0]) {
+    delaunay_edge[1] = e;
+  } else if (&p == points_[1]) {
+    delaunay_edge[2] = e;
+  } else {
+    delaunay_edge[0] = e;
+  }
+}
+
+// The neighbor across to given point
+Triangle& Triangle::NeighborAcross(Point& opoint)
+{
+  if (&opoint == points_[0]) {
+    return *neighbors_[0];
+  } else if (&opoint == points_[1]) {
+    return *neighbors_[1];
+  }
+  return *neighbors_[2];
+}
+
+void Triangle::DebugPrint()
+{
+  using namespace std;
+  cout << points_[0]->x << "," << points_[0]->y << " ";
+  cout << points_[1]->x << "," << points_[1]->y << " ";
+  cout << points_[2]->x << "," << points_[2]->y << endl;
+}
+
+}
+

polygon/poly2tri/common/shapes.h

@@ -0,0 +1,325 @@
+/*
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+// Include guard
+#ifndef SHAPES_H
+#define SHAPES_H
+
+#include <vector>
+#include <cstddef>
+#include <assert.h>
+#include <cmath>
+
+namespace p2t {
+
+struct Edge;
+
+struct Point {
+
+  double x, y;
+
+  /// Default constructor does nothing (for performance).
+  Point()
+  {
+    x = 0.0;
+    y = 0.0;
+  }
+
+  /// The edges this point constitutes an upper ending point
+  std::vector<Edge*> edge_list;
+
+  /// Construct using coordinates.
+  Point(double x, double y) : x(x), y(y) {}
+
+  /// Set this point to all zeros.
+  void set_zero()
+  {
+    x = 0.0;
+    y = 0.0;
+  }
+
+  /// Set this point to some specified coordinates.
+  void set(double x_, double y_)
+  {
+    x = x_;
+    y = y_;
+  }
+
+  /// Negate this point.
+  Point operator -() const
+  {
+    Point v;
+    v.set(-x, -y);
+    return v;
+  }
+
+  /// Add a point to this point.
+  void operator +=(const Point& v)
+  {
+    x += v.x;
+    y += v.y;
+  }
+
+  /// Subtract a point from this point.
+  void operator -=(const Point& v)
+  {
+    x -= v.x;
+    y -= v.y;
+  }
+
+  /// Multiply this point by a scalar.
+  void operator *=(double a)
+  {
+    x *= a;
+    y *= a;
+  }
+
+  /// Get the length of this point (the norm).
+  double Length() const
+  {
+    return sqrt(x * x + y * y);
+  }
+
+  /// Convert this point into a unit point. Returns the Length.
+  double Normalize()
+  {
+    double len = Length();
+    x /= len;
+    y /= len;
+    return len;
+  }
+
+};
+
+// Represents a simple polygon's edge
+struct Edge {
+
+  Point* p, *q;
+
+  /// Constructor
+  Edge(Point& p1, Point& p2) : p(&p1), q(&p2)
+  {
+    if (p1.y > p2.y) {
+      q = &p1;
+      p = &p2;
+    } else if (p1.y == p2.y) {
+      if (p1.x > p2.x) {
+        q = &p1;
+        p = &p2;
+      } else if (p1.x == p2.x) {
+        // Repeat points
+        assert(false);
+      }
+    }
+
+    q->edge_list.push_back(this);
+  }
+};
+
+// Triangle-based data structures are know to have better performance than quad-edge structures
+// See: J. Shewchuk, "Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator"
+//      "Triangulations in CGAL"
+class Triangle {
+public:
+
+/// Constructor
+Triangle(Point& a, Point& b, Point& c);
+
+/// Flags to determine if an edge is a Constrained edge
+bool constrained_edge[3];
+/// Flags to determine if an edge is a Delauney edge
+bool delaunay_edge[3];
+
+Point* GetPoint(const int& index);
+Point* PointCW(Point& point);
+Point* PointCCW(Point& point);
+Point* OppositePoint(Triangle& t, Point& p);
+
+Triangle* GetNeighbor(const int& index);
+void MarkNeighbor(Point* p1, Point* p2, Triangle* t);
+void MarkNeighbor(Triangle& t);
+
+void MarkConstrainedEdge(const int index);
+void MarkConstrainedEdge(Edge& edge);
+void MarkConstrainedEdge(Point* p, Point* q);
+
+int Index(const Point* p);
+int EdgeIndex(const Point* p1, const Point* p2);
+
+Triangle* NeighborCW(Point& point);
+Triangle* NeighborCCW(Point& point);
+bool GetConstrainedEdgeCCW(Point& p);
+bool GetConstrainedEdgeCW(Point& p);
+void SetConstrainedEdgeCCW(Point& p, bool ce);
+void SetConstrainedEdgeCW(Point& p, bool ce);
+bool GetDelunayEdgeCCW(Point& p);
+bool GetDelunayEdgeCW(Point& p);
+void SetDelunayEdgeCCW(Point& p, bool e);
+void SetDelunayEdgeCW(Point& p, bool e);
+
+bool Contains(Point* p);
+bool Contains(const Edge& e);
+bool Contains(Point* p, Point* q);
+void Legalize(Point& point);
+void Legalize(Point& opoint, Point& npoint);
+/**
+ * Clears all references to all other triangles and points
+ */
+void Clear();
+void ClearNeighbor(Triangle *triangle );
+void ClearNeighbors();
+void ClearDelunayEdges();
+
+inline bool IsInterior();
+inline void IsInterior(bool b);
+
+Triangle& NeighborAcross(Point& opoint);
+
+void DebugPrint();
+
+private:
+
+/// Triangle points
+Point* points_[3];
+/// Neighbor list
+Triangle* neighbors_[3];
+
+/// Has this triangle been marked as an interior triangle?
+bool interior_;
+};
+
+inline bool cmp(const Point* a, const Point* b)
+{
+  if (a->y < b->y) {
+    return true;
+  } else if (a->y == b->y) {
+    // Make sure q is point with greater x value
+    if (a->x < b->x) {
+      return true;
+    }
+  }
+  return false;
+}
+
+/// Add two points_ component-wise.
+inline Point operator +(const Point& a, const Point& b)
+{
+  return Point(a.x + b.x, a.y + b.y);
+}
+
+/// Subtract two points_ component-wise.
+inline Point operator -(const Point& a, const Point& b)
+{
+  return Point(a.x - b.x, a.y - b.y);
+}
+
+/// Multiply point by scalar
+inline Point operator *(double s, const Point& a)
+{
+  return Point(s * a.x, s * a.y);
+}
+
+inline bool operator ==(const Point& a, const Point& b)
+{
+  return a.x == b.x && a.y == b.y;
+}
+
+inline bool operator !=(const Point& a, const Point& b)
+{
+  return !(a.x == b.x) && !(a.y == b.y);
+}
+
+/// Peform the dot product on two vectors.
+inline double Dot(const Point& a, const Point& b)
+{
+  return a.x * b.x + a.y * b.y;
+}
+
+/// Perform the cross product on two vectors. In 2D this produces a scalar.
+inline double Cross(const Point& a, const Point& b)
+{
+  return a.x * b.y - a.y * b.x;
+}
+
+/// Perform the cross product on a point and a scalar. In 2D this produces
+/// a point.
+inline Point Cross(const Point& a, double s)
+{
+  return Point(s * a.y, -s * a.x);
+}
+
+/// Perform the cross product on a scalar and a point. In 2D this produces
+/// a point.
+inline Point Cross(const double s, const Point& a)
+{
+  return Point(-s * a.y, s * a.x);
+}
+
+inline Point* Triangle::GetPoint(const int& index)
+{
+  return points_[index];
+}
+
+inline Triangle* Triangle::GetNeighbor(const int& index)
+{
+  return neighbors_[index];
+}
+
+inline bool Triangle::Contains(Point* p)
+{
+  return p == points_[0] || p == points_[1] || p == points_[2];
+}
+
+inline bool Triangle::Contains(const Edge& e)
+{
+  return Contains(e.p) && Contains(e.q);
+}
+
+inline bool Triangle::Contains(Point* p, Point* q)
+{
+  return Contains(p) && Contains(q);
+}
+
+inline bool Triangle::IsInterior()
+{
+  return interior_;
+}
+
+inline void Triangle::IsInterior(bool b)
+{
+  interior_ = b;
+}
+
+}
+
+#endif
+
+

polygon/poly2tri/common/utils.h

@@ -0,0 +1,123 @@
+/* 
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+ 
+#ifndef UTILS_H
+#define UTILS_H
+
+// Otherwise #defines like M_PI are undeclared under Visual Studio
+#define _USE_MATH_DEFINES
+
+#include <exception>
+#include <math.h>
+
+namespace p2t {
+
+const double PI_3div4 = 3 * M_PI / 4;
+const double PI_div2 = 1.57079632679489661923;
+const double EPSILON = 1e-12;
+
+enum Orientation { CW, CCW, COLLINEAR };
+
+/**
+ * Forumla to calculate signed area<br>
+ * Positive if CCW<br>
+ * Negative if CW<br>
+ * 0 if collinear<br>
+ * <pre>
+ * A[P1,P2,P3]  =  (x1*y2 - y1*x2) + (x2*y3 - y2*x3) + (x3*y1 - y3*x1)
+ *              =  (x1-x3)*(y2-y3) - (y1-y3)*(x2-x3)
+ * </pre>
+ */
+Orientation Orient2d(Point& pa, Point& pb, Point& pc)
+{
+  double detleft = (pa.x - pc.x) * (pb.y - pc.y);
+  double detright = (pa.y - pc.y) * (pb.x - pc.x);
+  double val = detleft - detright;
+  if (val > -EPSILON && val < EPSILON) {
+    return COLLINEAR;
+  } else if (val > 0) {
+    return CCW;
+  }
+  return CW;
+}
+
+/*
+bool InScanArea(Point& pa, Point& pb, Point& pc, Point& pd)
+{
+  double pdx = pd.x;
+  double pdy = pd.y;
+  double adx = pa.x - pdx;
+  double ady = pa.y - pdy;
+  double bdx = pb.x - pdx;
+  double bdy = pb.y - pdy;
+
+  double adxbdy = adx * bdy;
+  double bdxady = bdx * ady;
+  double oabd = adxbdy - bdxady;
+
+  if (oabd <= EPSILON) {
+    return false;
+  }
+
+  double cdx = pc.x - pdx;
+  double cdy = pc.y - pdy;
+
+  double cdxady = cdx * ady;
+  double adxcdy = adx * cdy;
+  double ocad = cdxady - adxcdy;
+
+  if (ocad <= EPSILON) {
+    return false;
+  }
+
+  return true;
+}
+
+*/
+
+bool InScanArea(Point& pa, Point& pb, Point& pc, Point& pd)
+{
+  double oadb = (pa.x - pb.x)*(pd.y - pb.y) - (pd.x - pb.x)*(pa.y - pb.y);
+  if (oadb >= -EPSILON) {
+    return false;
+  }
+
+  double oadc = (pa.x - pc.x)*(pd.y - pc.y) - (pd.x - pc.x)*(pa.y - pc.y);
+  if (oadc <= EPSILON) {
+    return false;
+  }
+  return true;
+}
+
+}
+
+#endif
+

polygon/poly2tri/poly2tri.h

@@ -0,0 +1,39 @@
+/* 
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#ifndef POLY2TRI_H
+#define POLY2TRI_H
+
+#include "common/shapes.h"
+#include "sweep/cdt.h"
+
+#endif
+

polygon/poly2tri/sweep/advancing_front.cc

@@ -0,0 +1,109 @@
+/*
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+#include "advancing_front.h"
+
+namespace p2t {
+
+AdvancingFront::AdvancingFront(Node& head, Node& tail)
+{
+  head_ = &head;
+  tail_ = &tail;
+  search_node_ = &head;
+}
+
+Node* AdvancingFront::LocateNode(const double& x)
+{
+  Node* node = search_node_;
+
+  if (x < node->value) {
+    while ((node = node->prev) != NULL) {
+      if (x >= node->value) {
+        search_node_ = node;
+        return node;
+      }
+    }
+  } else {
+    while ((node = node->next) != NULL) {
+      if (x < node->value) {
+        search_node_ = node->prev;
+        return node->prev;
+      }
+    }
+  }
+  return NULL;
+}
+
+Node* AdvancingFront::FindSearchNode(const double& x)
+{
+  (void)x; // suppress compiler warnings "unused parameter 'x'"
+  // TODO: implement BST index
+  return search_node_;
+}
+
+Node* AdvancingFront::LocatePoint(const Point* point)
+{
+  const double px = point->x;
+  Node* node = FindSearchNode(px);
+  const double nx = node->point->x;
+
+  if (px == nx) {
+    if (point != node->point) {
+      // We might have two nodes with same x value for a short time
+      if (point == node->prev->point) {
+        node = node->prev;
+      } else if (point == node->next->point) {
+        node = node->next;
+      } else {
+        assert(0);
+      }
+    }
+  } else if (px < nx) {
+    while ((node = node->prev) != NULL) {
+      if (point == node->point) {
+        break;
+      }
+    }
+  } else {
+    while ((node = node->next) != NULL) {
+      if (point == node->point)
+        break;
+    }
+  }
+  if(node) search_node_ = node;
+  return node;
+}
+
+AdvancingFront::~AdvancingFront()
+{
+}
+
+}
+

polygon/poly2tri/sweep/advancing_front.h

@@ -0,0 +1,118 @@
+/*
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#ifndef ADVANCED_FRONT_H
+#define ADVANCED_FRONT_H
+
+#include "../common/shapes.h"
+
+namespace p2t {
+
+struct Node;
+
+// Advancing front node
+struct Node {
+  Point* point;
+  Triangle* triangle;
+
+  Node* next;
+  Node* prev;
+
+  double value;
+
+  Node(Point& p) : point(&p), triangle(NULL), next(NULL), prev(NULL), value(p.x)
+  {
+  }
+
+  Node(Point& p, Triangle& t) : point(&p), triangle(&t), next(NULL), prev(NULL), value(p.x)
+  {
+  }
+
+};
+
+// Advancing front
+class AdvancingFront {
+public:
+
+AdvancingFront(Node& head, Node& tail);
+// Destructor
+~AdvancingFront();
+
+Node* head();
+void set_head(Node* node);
+Node* tail();
+void set_tail(Node* node);
+Node* search();
+void set_search(Node* node);
+
+/// Locate insertion point along advancing front
+Node* LocateNode(const double& x);
+
+Node* LocatePoint(const Point* point);
+
+private:
+
+Node* head_, *tail_, *search_node_;
+
+Node* FindSearchNode(const double& x);
+};
+
+inline Node* AdvancingFront::head()
+{
+  return head_;
+}
+inline void AdvancingFront::set_head(Node* node)
+{
+  head_ = node;
+}
+
+inline Node* AdvancingFront::tail()
+{
+  return tail_;
+}
+inline void AdvancingFront::set_tail(Node* node)
+{
+  tail_ = node;
+}
+
+inline Node* AdvancingFront::search()
+{
+  return search_node_;
+}
+
+inline void AdvancingFront::set_search(Node* node)
+{
+  search_node_ = node;
+}
+
+}
+
+#endif

polygon/poly2tri/sweep/cdt.cc

@@ -0,0 +1,72 @@
+/* 
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+#include "cdt.h"
+
+namespace p2t {
+
+CDT::CDT(std::vector<Point*> polyline)
+{
+  sweep_context_ = new SweepContext(polyline);
+  sweep_ = new Sweep;
+}
+
+void CDT::AddHole(std::vector<Point*> polyline)
+{
+  sweep_context_->AddHole(polyline);
+}
+
+void CDT::AddPoint(Point* point) {
+  sweep_context_->AddPoint(point);
+}
+
+void CDT::Triangulate()
+{
+  sweep_->Triangulate(*sweep_context_);
+}
+
+std::vector<p2t::Triangle*> CDT::GetTriangles()
+{
+  return sweep_context_->GetTriangles();
+}
+
+std::list<p2t::Triangle*> CDT::GetMap()
+{
+  return sweep_context_->GetMap();
+}
+
+CDT::~CDT()
+{
+  delete sweep_context_;
+  delete sweep_;
+}
+
+}
+

polygon/poly2tri/sweep/cdt.h

@@ -0,0 +1,105 @@
+/* 
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+ 
+#ifndef CDT_H
+#define CDT_H
+
+#include "advancing_front.h"
+#include "sweep_context.h"
+#include "sweep.h"
+
+/**
+ * 
+ * @author Mason Green <mason.green@gmail.com>
+ *
+ */
+ 
+namespace p2t {
+
+class CDT
+{
+public:
+
+  /**
+   * Constructor - add polyline with non repeating points
+   * 
+   * @param polyline
+   */
+  CDT(std::vector<Point*> polyline);
+  
+   /**
+   * Destructor - clean up memory
+   */
+  ~CDT();
+  
+  /**
+   * Add a hole
+   * 
+   * @param polyline
+   */
+  void AddHole(std::vector<Point*> polyline);
+  
+  /**
+   * Add a steiner point
+   * 
+   * @param point
+   */
+  void AddPoint(Point* point);
+  
+  /**
+   * Triangulate - do this AFTER you've added the polyline, holes, and Steiner points
+   */
+  void Triangulate();
+  
+  /**
+   * Get CDT triangles
+   */
+  std::vector<Triangle*> GetTriangles();
+  
+  /**
+   * Get triangle map
+   */
+  std::list<Triangle*> GetMap();
+
+  private:
+
+  /**
+   * Internals
+   */
+   
+  SweepContext* sweep_context_;
+  Sweep* sweep_;
+
+};
+
+}
+
+#endif

polygon/poly2tri/sweep/sweep.cc

@@ -0,0 +1,813 @@
+/*
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+#include <stdexcept>
+#include "sweep.h"
+#include "sweep_context.h"
+#include "advancing_front.h"
+#include "../common/utils.h"
+
+namespace p2t {
+
+// Triangulate simple polygon with holes
+void Sweep::Triangulate(SweepContext& tcx)
+{
+  tcx.InitTriangulation();
+  tcx.CreateAdvancingFront(nodes_);
+  // Sweep points; build mesh
+  SweepPoints(tcx);
+  // Clean up
+  FinalizationPolygon(tcx);
+}
+
+void Sweep::SweepPoints(SweepContext& tcx)
+{
+  for (int i = 1; i < tcx.point_count(); i++) {
+    Point& point = *tcx.GetPoint(i);
+    Node* node = &PointEvent(tcx, point);
+    for (unsigned int i = 0; i < point.edge_list.size(); i++) {
+      EdgeEvent(tcx, point.edge_list[i], node);
+    }
+  }
+}
+
+void Sweep::FinalizationPolygon(SweepContext& tcx)
+{
+  // Get an Internal triangle to start with
+  Triangle* t = tcx.front()->head()->next->triangle;
+  Point* p = tcx.front()->head()->next->point;
+  while (!t->GetConstrainedEdgeCW(*p)) {
+    t = t->NeighborCCW(*p);
+  }
+
+  // Collect interior triangles constrained by edges
+  tcx.MeshClean(*t);
+}
+
+Node& Sweep::PointEvent(SweepContext& tcx, Point& point)
+{
+  Node& node = tcx.LocateNode(point);
+  Node& new_node = NewFrontTriangle(tcx, point, node);
+
+  // Only need to check +epsilon since point never have smaller
+  // x value than node due to how we fetch nodes from the front
+  if (point.x <= node.point->x + EPSILON) {
+    Fill(tcx, node);
+  }
+
+  //tcx.AddNode(new_node);
+
+  FillAdvancingFront(tcx, new_node);
+  return new_node;
+}
+
+void Sweep::EdgeEvent(SweepContext& tcx, Edge* edge, Node* node)
+{
+  tcx.edge_event.constrained_edge = edge;
+  tcx.edge_event.right = (edge->p->x > edge->q->x);
+
+  if (IsEdgeSideOfTriangle(*node->triangle, *edge->p, *edge->q)) {
+    return;
+  }
+
+  // For now we will do all needed filling
+  // TODO: integrate with flip process might give some better performance
+  //       but for now this avoid the issue with cases that needs both flips and fills
+  FillEdgeEvent(tcx, edge, node);
+  EdgeEvent(tcx, *edge->p, *edge->q, node->triangle, *edge->q);
+}
+
+void Sweep::EdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* triangle, Point& point)
+{
+  if (IsEdgeSideOfTriangle(*triangle, ep, eq)) {
+    return;
+  }
+
+  Point* p1 = triangle->PointCCW(point);
+  Orientation o1 = Orient2d(eq, *p1, ep);
+  if (o1 == COLLINEAR) {
+    if( triangle->Contains(&eq, p1)) {
+      triangle->MarkConstrainedEdge(&eq, p1 );
+      // We are modifying the constraint maybe it would be better to 
+      // not change the given constraint and just keep a variable for the new constraint
+      tcx.edge_event.constrained_edge->q = p1;
+      triangle = &triangle->NeighborAcross(point);
+      EdgeEvent( tcx, ep, *p1, triangle, *p1 );
+    } else {
+      std::runtime_error("EdgeEvent - collinear points not supported");
+      assert(0);
+    }
+    return;
+  }
+
+  Point* p2 = triangle->PointCW(point);
+  Orientation o2 = Orient2d(eq, *p2, ep);
+  if (o2 == COLLINEAR) {
+    if( triangle->Contains(&eq, p2)) {
+      triangle->MarkConstrainedEdge(&eq, p2 );
+      // We are modifying the constraint maybe it would be better to 
+      // not change the given constraint and just keep a variable for the new constraint
+      tcx.edge_event.constrained_edge->q = p2;
+      triangle = &triangle->NeighborAcross(point);
+      EdgeEvent( tcx, ep, *p2, triangle, *p2 );
+    } else {
+      std::runtime_error("EdgeEvent - collinear points not supported");
+      assert(0);
+    }
+    return;
+  }
+
+  if (o1 == o2) {
+    // Need to decide if we are rotating CW or CCW to get to a triangle
+    // that will cross edge
+    if (o1 == CW) {
+      triangle = triangle->NeighborCCW(point);
+    }       else{
+      triangle = triangle->NeighborCW(point);
+    }
+    EdgeEvent(tcx, ep, eq, triangle, point);
+  } else {
+    // This triangle crosses constraint so lets flippin start!
+    FlipEdgeEvent(tcx, ep, eq, triangle, point);
+  }
+}
+
+bool Sweep::IsEdgeSideOfTriangle(Triangle& triangle, Point& ep, Point& eq)
+{
+  int index = triangle.EdgeIndex(&ep, &eq);
+
+  if (index != -1) {
+    triangle.MarkConstrainedEdge(index);
+    Triangle* t = triangle.GetNeighbor(index);
+    if (t) {
+      t->MarkConstrainedEdge(&ep, &eq);
+    }
+    return true;
+  }
+  return false;
+}
+
+Node& Sweep::NewFrontTriangle(SweepContext& tcx, Point& point, Node& node)
+{
+  Triangle* triangle = new Triangle(point, *node.point, *node.next->point);
+
+  triangle->MarkNeighbor(*node.triangle);
+  tcx.AddToMap(triangle);
+
+  Node* new_node = new Node(point);
+  nodes_.push_back(new_node);
+
+  new_node->next = node.next;
+  new_node->prev = &node;
+  node.next->prev = new_node;
+  node.next = new_node;
+
+  if (!Legalize(tcx, *triangle)) {
+    tcx.MapTriangleToNodes(*triangle);
+  }
+
+  return *new_node;
+}
+
+void Sweep::Fill(SweepContext& tcx, Node& node)
+{
+  Triangle* triangle = new Triangle(*node.prev->point, *node.point, *node.next->point);
+
+  // TODO: should copy the constrained_edge value from neighbor triangles
+  //       for now constrained_edge values are copied during the legalize
+  triangle->MarkNeighbor(*node.prev->triangle);
+  triangle->MarkNeighbor(*node.triangle);
+
+  tcx.AddToMap(triangle);
+
+  // Update the advancing front
+  node.prev->next = node.next;
+  node.next->prev = node.prev;
+
+  // If it was legalized the triangle has already been mapped
+  if (!Legalize(tcx, *triangle)) {
+    tcx.MapTriangleToNodes(*triangle);
+  }
+
+}
+
+void Sweep::FillAdvancingFront(SweepContext& tcx, Node& n)
+{
+
+  // Fill right holes
+  Node* node = n.next;
+
+  while (node->next) {
+    // if HoleAngle exceeds 90 degrees then break.
+    if (LargeHole_DontFill(node)) break;
+    Fill(tcx, *node);
+    node = node->next;
+  }
+
+  // Fill left holes
+  node = n.prev;
+
+  while (node->prev) {
+    // if HoleAngle exceeds 90 degrees then break.
+    if (LargeHole_DontFill(node)) break;
+    Fill(tcx, *node);
+    node = node->prev;
+  }
+
+  // Fill right basins
+  if (n.next && n.next->next) {
+    double angle = BasinAngle(n);
+    if (angle < PI_3div4) {
+      FillBasin(tcx, n);
+    }
+  }
+}
+
+// True if HoleAngle exceeds 90 degrees.
+bool Sweep::LargeHole_DontFill(Node* node) {
+  
+  Node* nextNode = node->next;
+  Node* prevNode = node->prev;
+  if (!AngleExceeds90Degrees(node->point, nextNode->point, prevNode->point))
+          return false;
+
+  // Check additional points on front.
+  Node* next2Node = nextNode->next;
+  // "..Plus.." because only want angles on same side as point being added.
+  if ((next2Node != NULL) && !AngleExceedsPlus90DegreesOrIsNegative(node->point, next2Node->point, prevNode->point))
+          return false;
+
+  Node* prev2Node = prevNode->prev;
+  // "..Plus.." because only want angles on same side as point being added.
+  if ((prev2Node != NULL) && !AngleExceedsPlus90DegreesOrIsNegative(node->point, nextNode->point, prev2Node->point))
+          return false;
+
+  return true;
+}
+
+bool Sweep::AngleExceeds90Degrees(Point* origin, Point* pa, Point* pb) {
+  double angle = Angle(*origin, *pa, *pb);
+  bool exceeds90Degrees = ((angle > PI_div2) || (angle < -PI_div2));
+  return exceeds90Degrees;
+}
+
+bool Sweep::AngleExceedsPlus90DegreesOrIsNegative(Point* origin, Point* pa, Point* pb) {
+  double angle = Angle(*origin, *pa, *pb);
+  bool exceedsPlus90DegreesOrIsNegative = (angle > PI_div2) || (angle < 0);
+  return exceedsPlus90DegreesOrIsNegative;
+}
+
+double Sweep::Angle(Point& origin, Point& pa, Point& pb) {
+  /* Complex plane
+   * ab = cosA +i*sinA
+   * ab = (ax + ay*i)(bx + by*i) = (ax*bx + ay*by) + i(ax*by-ay*bx)
+   * atan2(y,x) computes the principal value of the argument function
+   * applied to the complex number x+iy
+   * Where x = ax*bx + ay*by
+   *       y = ax*by - ay*bx
+   */
+  double px = origin.x;
+  double py = origin.y;
+  double ax = pa.x- px;
+  double ay = pa.y - py;
+  double bx = pb.x - px;
+  double by = pb.y - py;
+  double x = ax * by - ay * bx;
+  double y = ax * bx + ay * by;
+  double angle = atan2(x, y);
+  return angle;
+}
+
+double Sweep::BasinAngle(Node& node)
+{
+  double ax = node.point->x - node.next->next->point->x;
+  double ay = node.point->y - node.next->next->point->y;
+  return atan2(ay, ax);
+}
+
+double Sweep::HoleAngle(Node& node)
+{
+  /* Complex plane
+   * ab = cosA +i*sinA
+   * ab = (ax + ay*i)(bx + by*i) = (ax*bx + ay*by) + i(ax*by-ay*bx)
+   * atan2(y,x) computes the principal value of the argument function
+   * applied to the complex number x+iy
+   * Where x = ax*bx + ay*by
+   *       y = ax*by - ay*bx
+   */
+  double ax = node.next->point->x - node.point->x;
+  double ay = node.next->point->y - node.point->y;
+  double bx = node.prev->point->x - node.point->x;
+  double by = node.prev->point->y - node.point->y;
+  return atan2(ax * by - ay * bx, ax * bx + ay * by);
+}
+
+bool Sweep::Legalize(SweepContext& tcx, Triangle& t)
+{
+  // To legalize a triangle we start by finding if any of the three edges
+  // violate the Delaunay condition
+  for (int i = 0; i < 3; i++) {
+    if (t.delaunay_edge[i])
+      continue;
+
+    Triangle* ot = t.GetNeighbor(i);
+
+    if (ot) {
+      Point* p = t.GetPoint(i);
+      Point* op = ot->OppositePoint(t, *p);
+      int oi = ot->Index(op);
+
+      // If this is a Constrained Edge or a Delaunay Edge(only during recursive legalization)
+      // then we should not try to legalize
+      if (ot->constrained_edge[oi] || ot->delaunay_edge[oi]) {
+        t.constrained_edge[i] = ot->constrained_edge[oi];
+        continue;
+      }
+
+      bool inside = Incircle(*p, *t.PointCCW(*p), *t.PointCW(*p), *op);
+
+      if (inside) {
+        // Lets mark this shared edge as Delaunay
+        t.delaunay_edge[i] = true;
+        ot->delaunay_edge[oi] = true;
+
+        // Lets rotate shared edge one vertex CW to legalize it
+        RotateTrianglePair(t, *p, *ot, *op);
+
+        // We now got one valid Delaunay Edge shared by two triangles
+        // This gives us 4 new edges to check for Delaunay
+
+        // Make sure that triangle to node mapping is done only one time for a specific triangle
+        bool not_legalized = !Legalize(tcx, t);
+        if (not_legalized) {
+          tcx.MapTriangleToNodes(t);
+        }
+
+        not_legalized = !Legalize(tcx, *ot);
+        if (not_legalized)
+          tcx.MapTriangleToNodes(*ot);
+
+        // Reset the Delaunay edges, since they only are valid Delaunay edges
+        // until we add a new triangle or point.
+        // XXX: need to think about this. Can these edges be tried after we
+        //      return to previous recursive level?
+        t.delaunay_edge[i] = false;
+        ot->delaunay_edge[oi] = false;
+
+        // If triangle have been legalized no need to check the other edges since
+        // the recursive legalization will handles those so we can end here.
+        return true;
+      }
+    }
+  }
+  return false;
+}
+
+bool Sweep::Incircle(Point& pa, Point& pb, Point& pc, Point& pd)
+{
+  double adx = pa.x - pd.x;
+  double ady = pa.y - pd.y;
+  double bdx = pb.x - pd.x;
+  double bdy = pb.y - pd.y;
+
+  double adxbdy = adx * bdy;
+  double bdxady = bdx * ady;
+  double oabd = adxbdy - bdxady;
+
+  if (oabd <= 0)
+    return false;
+
+  double cdx = pc.x - pd.x;
+  double cdy = pc.y - pd.y;
+
+  double cdxady = cdx * ady;
+  double adxcdy = adx * cdy;
+  double ocad = cdxady - adxcdy;
+
+  if (ocad <= 0)
+    return false;
+
+  double bdxcdy = bdx * cdy;
+  double cdxbdy = cdx * bdy;
+
+  double alift = adx * adx + ady * ady;
+  double blift = bdx * bdx + bdy * bdy;
+  double clift = cdx * cdx + cdy * cdy;
+
+  double det = alift * (bdxcdy - cdxbdy) + blift * ocad + clift * oabd;
+
+  return det > 0;
+}
+
+void Sweep::RotateTrianglePair(Triangle& t, Point& p, Triangle& ot, Point& op)
+{
+  Triangle* n1, *n2, *n3, *n4;
+  n1 = t.NeighborCCW(p);
+  n2 = t.NeighborCW(p);
+  n3 = ot.NeighborCCW(op);
+  n4 = ot.NeighborCW(op);
+
+  bool ce1, ce2, ce3, ce4;
+  ce1 = t.GetConstrainedEdgeCCW(p);
+  ce2 = t.GetConstrainedEdgeCW(p);
+  ce3 = ot.GetConstrainedEdgeCCW(op);
+  ce4 = ot.GetConstrainedEdgeCW(op);
+
+  bool de1, de2, de3, de4;
+  de1 = t.GetDelunayEdgeCCW(p);
+  de2 = t.GetDelunayEdgeCW(p);
+  de3 = ot.GetDelunayEdgeCCW(op);
+  de4 = ot.GetDelunayEdgeCW(op);
+
+  t.Legalize(p, op);
+  ot.Legalize(op, p);
+
+  // Remap delaunay_edge
+  ot.SetDelunayEdgeCCW(p, de1);
+  t.SetDelunayEdgeCW(p, de2);
+  t.SetDelunayEdgeCCW(op, de3);
+  ot.SetDelunayEdgeCW(op, de4);
+
+  // Remap constrained_edge
+  ot.SetConstrainedEdgeCCW(p, ce1);
+  t.SetConstrainedEdgeCW(p, ce2);
+  t.SetConstrainedEdgeCCW(op, ce3);
+  ot.SetConstrainedEdgeCW(op, ce4);
+
+  // Remap neighbors
+  // XXX: might optimize the markNeighbor by keeping track of
+  //      what side should be assigned to what neighbor after the
+  //      rotation. Now mark neighbor does lots of testing to find
+  //      the right side.
+  t.ClearNeighbors();
+  ot.ClearNeighbors();
+  if (n1) ot.MarkNeighbor(*n1);
+  if (n2) t.MarkNeighbor(*n2);
+  if (n3) t.MarkNeighbor(*n3);
+  if (n4) ot.MarkNeighbor(*n4);
+  t.MarkNeighbor(ot);
+}
+
+void Sweep::FillBasin(SweepContext& tcx, Node& node)
+{
+  if (Orient2d(*node.point, *node.next->point, *node.next->next->point) == CCW) {
+    tcx.basin.left_node = node.next->next;
+  } else {
+    tcx.basin.left_node = node.next;
+  }
+
+  // Find the bottom and right node
+  tcx.basin.bottom_node = tcx.basin.left_node;
+  while (tcx.basin.bottom_node->next
+         && tcx.basin.bottom_node->point->y >= tcx.basin.bottom_node->next->point->y) {
+    tcx.basin.bottom_node = tcx.basin.bottom_node->next;
+  }
+  if (tcx.basin.bottom_node == tcx.basin.left_node) {
+    // No valid basin
+    return;
+  }
+
+  tcx.basin.right_node = tcx.basin.bottom_node;
+  while (tcx.basin.right_node->next
+         && tcx.basin.right_node->point->y < tcx.basin.right_node->next->point->y) {
+    tcx.basin.right_node = tcx.basin.right_node->next;
+  }
+  if (tcx.basin.right_node == tcx.basin.bottom_node) {
+    // No valid basins
+    return;
+  }
+
+  tcx.basin.width = tcx.basin.right_node->point->x - tcx.basin.left_node->point->x;
+  tcx.basin.left_highest = tcx.basin.left_node->point->y > tcx.basin.right_node->point->y;
+
+  FillBasinReq(tcx, tcx.basin.bottom_node);
+}
+
+void Sweep::FillBasinReq(SweepContext& tcx, Node* node)
+{
+  // if shallow stop filling
+  if (IsShallow(tcx, *node)) {
+    return;
+  }
+
+  Fill(tcx, *node);
+
+  if (node->prev == tcx.basin.left_node && node->next == tcx.basin.right_node) {
+    return;
+  } else if (node->prev == tcx.basin.left_node) {
+    Orientation o = Orient2d(*node->point, *node->next->point, *node->next->next->point);
+    if (o == CW) {
+      return;
+    }
+    node = node->next;
+  } else if (node->next == tcx.basin.right_node) {
+    Orientation o = Orient2d(*node->point, *node->prev->point, *node->prev->prev->point);
+    if (o == CCW) {
+      return;
+    }
+    node = node->prev;
+  } else {
+    // Continue with the neighbor node with lowest Y value
+    if (node->prev->point->y < node->next->point->y) {
+      node = node->prev;
+    } else {
+      node = node->next;
+    }
+  }
+
+  FillBasinReq(tcx, node);
+}
+
+bool Sweep::IsShallow(SweepContext& tcx, Node& node)
+{
+  double height;
+
+  if (tcx.basin.left_highest) {
+    height = tcx.basin.left_node->point->y - node.point->y;
+  } else {
+    height = tcx.basin.right_node->point->y - node.point->y;
+  }
+
+  // if shallow stop filling
+  if (tcx.basin.width > height) {
+    return true;
+  }
+  return false;
+}
+
+void Sweep::FillEdgeEvent(SweepContext& tcx, Edge* edge, Node* node)
+{
+  if (tcx.edge_event.right) {
+    FillRightAboveEdgeEvent(tcx, edge, node);
+  } else {
+    FillLeftAboveEdgeEvent(tcx, edge, node);
+  }
+}
+
+void Sweep::FillRightAboveEdgeEvent(SweepContext& tcx, Edge* edge, Node* node)
+{
+  while (node->next->point->x < edge->p->x) {
+    // Check if next node is below the edge
+    if (Orient2d(*edge->q, *node->next->point, *edge->p) == CCW) {
+      FillRightBelowEdgeEvent(tcx, edge, *node);
+    } else {
+      node = node->next;
+    }
+  }
+}
+
+void Sweep::FillRightBelowEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
+{
+  if (node.point->x < edge->p->x) {
+    if (Orient2d(*node.point, *node.next->point, *node.next->next->point) == CCW) {
+      // Concave
+      FillRightConcaveEdgeEvent(tcx, edge, node);
+    } else{
+      // Convex
+      FillRightConvexEdgeEvent(tcx, edge, node);
+      // Retry this one
+      FillRightBelowEdgeEvent(tcx, edge, node);
+    }
+  }
+}
+
+void Sweep::FillRightConcaveEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
+{
+  Fill(tcx, *node.next);
+  if (node.next->point != edge->p) {
+    // Next above or below edge?
+    if (Orient2d(*edge->q, *node.next->point, *edge->p) == CCW) {
+      // Below
+      if (Orient2d(*node.point, *node.next->point, *node.next->next->point) == CCW) {
+        // Next is concave
+        FillRightConcaveEdgeEvent(tcx, edge, node);
+      } else {
+        // Next is convex
+      }
+    }
+  }
+
+}
+
+void Sweep::FillRightConvexEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
+{
+  // Next concave or convex?
+  if (Orient2d(*node.next->point, *node.next->next->point, *node.next->next->next->point) == CCW) {
+    // Concave
+    FillRightConcaveEdgeEvent(tcx, edge, *node.next);
+  } else{
+    // Convex
+    // Next above or below edge?
+    if (Orient2d(*edge->q, *node.next->next->point, *edge->p) == CCW) {
+      // Below
+      FillRightConvexEdgeEvent(tcx, edge, *node.next);
+    } else{
+      // Above
+    }
+  }
+}
+
+void Sweep::FillLeftAboveEdgeEvent(SweepContext& tcx, Edge* edge, Node* node)
+{
+  while (node->prev->point->x > edge->p->x) {
+    // Check if next node is below the edge
+    if (Orient2d(*edge->q, *node->prev->point, *edge->p) == CW) {
+      FillLeftBelowEdgeEvent(tcx, edge, *node);
+    } else {
+      node = node->prev;
+    }
+  }
+}
+
+void Sweep::FillLeftBelowEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
+{
+  if (node.point->x > edge->p->x) {
+    if (Orient2d(*node.point, *node.prev->point, *node.prev->prev->point) == CW) {
+      // Concave
+      FillLeftConcaveEdgeEvent(tcx, edge, node);
+    } else {
+      // Convex
+      FillLeftConvexEdgeEvent(tcx, edge, node);
+      // Retry this one
+      FillLeftBelowEdgeEvent(tcx, edge, node);
+    }
+  }
+}
+
+void Sweep::FillLeftConvexEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
+{
+  // Next concave or convex?
+  if (Orient2d(*node.prev->point, *node.prev->prev->point, *node.prev->prev->prev->point) == CW) {
+    // Concave
+    FillLeftConcaveEdgeEvent(tcx, edge, *node.prev);
+  } else{
+    // Convex
+    // Next above or below edge?
+    if (Orient2d(*edge->q, *node.prev->prev->point, *edge->p) == CW) {
+      // Below
+      FillLeftConvexEdgeEvent(tcx, edge, *node.prev);
+    } else{
+      // Above
+    }
+  }
+}
+
+void Sweep::FillLeftConcaveEdgeEvent(SweepContext& tcx, Edge* edge, Node& node)
+{
+  Fill(tcx, *node.prev);
+  if (node.prev->point != edge->p) {
+    // Next above or below edge?
+    if (Orient2d(*edge->q, *node.prev->point, *edge->p) == CW) {
+      // Below
+      if (Orient2d(*node.point, *node.prev->point, *node.prev->prev->point) == CW) {
+        // Next is concave
+        FillLeftConcaveEdgeEvent(tcx, edge, node);
+      } else{
+        // Next is convex
+      }
+    }
+  }
+
+}
+
+void Sweep::FlipEdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* t, Point& p)
+{
+  Triangle& ot = t->NeighborAcross(p);
+  Point& op = *ot.OppositePoint(*t, p);
+
+  if (&ot == NULL) {
+    // If we want to integrate the fillEdgeEvent do it here
+    // With current implementation we should never get here
+    //throw new RuntimeException( "[BUG:FIXME] FLIP failed due to missing triangle");
+    assert(0);
+  }
+
+  if (InScanArea(p, *t->PointCCW(p), *t->PointCW(p), op)) {
+    // Lets rotate shared edge one vertex CW
+    RotateTrianglePair(*t, p, ot, op);
+    tcx.MapTriangleToNodes(*t);
+    tcx.MapTriangleToNodes(ot);
+
+    if (p == eq && op == ep) {
+      if (eq == *tcx.edge_event.constrained_edge->q && ep == *tcx.edge_event.constrained_edge->p) {
+        t->MarkConstrainedEdge(&ep, &eq);
+        ot.MarkConstrainedEdge(&ep, &eq);
+        Legalize(tcx, *t);
+        Legalize(tcx, ot);
+      } else {
+        // XXX: I think one of the triangles should be legalized here?
+      }
+    } else {
+      Orientation o = Orient2d(eq, op, ep);
+      t = &NextFlipTriangle(tcx, (int)o, *t, ot, p, op);
+      FlipEdgeEvent(tcx, ep, eq, t, p);
+    }
+  } else {
+    Point& newP = NextFlipPoint(ep, eq, ot, op);
+    FlipScanEdgeEvent(tcx, ep, eq, *t, ot, newP);
+    EdgeEvent(tcx, ep, eq, t, p);
+  }
+}
+
+Triangle& Sweep::NextFlipTriangle(SweepContext& tcx, int o, Triangle& t, Triangle& ot, Point& p, Point& op)
+{
+  if (o == CCW) {
+    // ot is not crossing edge after flip
+    int edge_index = ot.EdgeIndex(&p, &op);
+    ot.delaunay_edge[edge_index] = true;
+    Legalize(tcx, ot);
+    ot.ClearDelunayEdges();
+    return t;
+  }
+
+  // t is not crossing edge after flip
+  int edge_index = t.EdgeIndex(&p, &op);
+
+  t.delaunay_edge[edge_index] = true;
+  Legalize(tcx, t);
+  t.ClearDelunayEdges();
+  return ot;
+}
+
+Point& Sweep::NextFlipPoint(Point& ep, Point& eq, Triangle& ot, Point& op)
+{
+  Orientation o2d = Orient2d(eq, op, ep);
+  if (o2d == CW) {
+    // Right
+    return *ot.PointCCW(op);
+  } else if (o2d == CCW) {
+    // Left
+    return *ot.PointCW(op);
+  } else{
+    //throw new RuntimeException("[Unsupported] Opposing point on constrained edge");
+    assert(0);
+  }
+}
+
+void Sweep::FlipScanEdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle& flip_triangle,
+                              Triangle& t, Point& p)
+{
+  Triangle& ot = t.NeighborAcross(p);
+  Point& op = *ot.OppositePoint(t, p);
+
+  if (&t.NeighborAcross(p) == NULL) {
+    // If we want to integrate the fillEdgeEvent do it here
+    // With current implementation we should never get here
+    //throw new RuntimeException( "[BUG:FIXME] FLIP failed due to missing triangle");
+    assert(0);
+  }
+
+  if (InScanArea(eq, *flip_triangle.PointCCW(eq), *flip_triangle.PointCW(eq), op)) {
+    // flip with new edge op->eq
+    FlipEdgeEvent(tcx, eq, op, &ot, op);
+    // TODO: Actually I just figured out that it should be possible to
+    //       improve this by getting the next ot and op before the the above
+    //       flip and continue the flipScanEdgeEvent here
+    // set new ot and op here and loop back to inScanArea test
+    // also need to set a new flip_triangle first
+    // Turns out at first glance that this is somewhat complicated
+    // so it will have to wait.
+  } else{
+    Point& newP = NextFlipPoint(ep, eq, ot, op);
+    FlipScanEdgeEvent(tcx, ep, eq, flip_triangle, ot, newP);
+  }
+}
+
+Sweep::~Sweep() {
+
+    // Clean up memory
+    for(int i = 0; i < nodes_.size(); i++) {
+        delete nodes_[i];
+    }
+
+}
+
+}
+

polygon/poly2tri/sweep/sweep.h

@@ -0,0 +1,285 @@
+/*
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+/**
+ * Sweep-line, Constrained Delauney Triangulation (CDT) See: Domiter, V. and
+ * Zalik, B.(2008)'Sweep-line algorithm for constrained Delaunay triangulation',
+ * International Journal of Geographical Information Science
+ *
+ * "FlipScan" Constrained Edge Algorithm invented by Thomas Åhlén, thahlen@gmail.com
+ */
+
+#ifndef SWEEP_H
+#define SWEEP_H
+
+#include <vector>
+
+namespace p2t {
+
+class SweepContext;
+struct Node;
+struct Point;
+struct Edge;
+class Triangle;
+
+class Sweep 
+{
+public:
+
+  /**
+   * Triangulate
+   * 
+   * @param tcx
+   */
+  void Triangulate(SweepContext& tcx);
+  
+  /**
+   * Destructor - clean up memory
+   */
+  ~Sweep();
+
+private:
+
+  /**
+   * Start sweeping the Y-sorted point set from bottom to top
+   * 
+   * @param tcx
+   */
+  void SweepPoints(SweepContext& tcx);
+
+  /**
+   * Find closes node to the left of the new point and
+   * create a new triangle. If needed new holes and basins
+   * will be filled to.
+   *
+   * @param tcx
+   * @param point
+   * @return
+   */
+  Node& PointEvent(SweepContext& tcx, Point& point);
+
+   /**
+     * 
+     * 
+     * @param tcx
+     * @param edge
+     * @param node
+     */
+  void EdgeEvent(SweepContext& tcx, Edge* edge, Node* node);
+
+  void EdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* triangle, Point& point);
+
+  /**
+   * Creates a new front triangle and legalize it
+   * 
+   * @param tcx
+   * @param point
+   * @param node
+   * @return
+   */
+  Node& NewFrontTriangle(SweepContext& tcx, Point& point, Node& node);
+
+  /**
+   * Adds a triangle to the advancing front to fill a hole.
+   * @param tcx
+   * @param node - middle node, that is the bottom of the hole
+   */
+  void Fill(SweepContext& tcx, Node& node);
+
+  /**
+   * Returns true if triangle was legalized
+   */
+  bool Legalize(SweepContext& tcx, Triangle& t);
+
+  /**
+   * <b>Requirement</b>:<br>
+   * 1. a,b and c form a triangle.<br>
+   * 2. a and d is know to be on opposite side of bc<br>
+   * <pre>
+   *                a
+   *                +
+   *               / \
+   *              /   \
+   *            b/     \c
+   *            +-------+
+   *           /    d    \
+   *          /           \
+   * </pre>
+   * <b>Fact</b>: d has to be in area B to have a chance to be inside the circle formed by
+   *  a,b and c<br>
+   *  d is outside B if orient2d(a,b,d) or orient2d(c,a,d) is CW<br>
+   *  This preknowledge gives us a way to optimize the incircle test
+   * @param a - triangle point, opposite d
+   * @param b - triangle point
+   * @param c - triangle point
+   * @param d - point opposite a
+   * @return true if d is inside circle, false if on circle edge
+   */
+  bool Incircle(Point& pa, Point& pb, Point& pc, Point& pd);
+
+  /**
+   * Rotates a triangle pair one vertex CW
+   *<pre>
+   *       n2                    n2
+   *  P +-----+             P +-----+
+   *    | t  /|               |\  t |
+   *    |   / |               | \   |
+   *  n1|  /  |n3           n1|  \  |n3
+   *    | /   |    after CW   |   \ |
+   *    |/ oT |               | oT \|
+   *    +-----+ oP            +-----+
+   *       n4                    n4
+   * </pre>
+   */
+  void RotateTrianglePair(Triangle& t, Point& p, Triangle& ot, Point& op);
+
+  /**
+   * Fills holes in the Advancing Front
+   *
+   *
+   * @param tcx
+   * @param n
+   */
+  void FillAdvancingFront(SweepContext& tcx, Node& n);
+  
+  // Decision-making about when to Fill hole. 
+  // Contributed by ToolmakerSteve2
+  bool LargeHole_DontFill(Node* node);
+  bool AngleExceeds90Degrees(Point* origin, Point* pa, Point* pb);
+  bool AngleExceedsPlus90DegreesOrIsNegative(Point* origin, Point* pa, Point* pb);
+  double Angle(Point& origin, Point& pa, Point& pb);
+
+  /**
+   *
+   * @param node - middle node
+   * @return the angle between 3 front nodes
+   */
+  double HoleAngle(Node& node);
+
+  /**
+   * The basin angle is decided against the horizontal line [1,0]
+   */
+  double BasinAngle(Node& node);
+
+  /**
+   * Fills a basin that has formed on the Advancing Front to the right
+   * of given node.<br>
+   * First we decide a left,bottom and right node that forms the
+   * boundaries of the basin. Then we do a reqursive fill.
+   *
+   * @param tcx
+   * @param node - starting node, this or next node will be left node
+   */
+  void FillBasin(SweepContext& tcx, Node& node);
+
+  /**
+   * Recursive algorithm to fill a Basin with triangles
+   *
+   * @param tcx
+   * @param node - bottom_node
+   * @param cnt - counter used to alternate on even and odd numbers
+   */
+  void FillBasinReq(SweepContext& tcx, Node* node);
+
+  bool IsShallow(SweepContext& tcx, Node& node);
+
+  bool IsEdgeSideOfTriangle(Triangle& triangle, Point& ep, Point& eq);
+
+  void FillEdgeEvent(SweepContext& tcx, Edge* edge, Node* node);
+
+  void FillRightAboveEdgeEvent(SweepContext& tcx, Edge* edge, Node* node);
+
+  void FillRightBelowEdgeEvent(SweepContext& tcx, Edge* edge, Node& node);
+
+  void FillRightConcaveEdgeEvent(SweepContext& tcx, Edge* edge, Node& node);
+
+  void FillRightConvexEdgeEvent(SweepContext& tcx, Edge* edge, Node& node);
+
+  void FillLeftAboveEdgeEvent(SweepContext& tcx, Edge* edge, Node* node);
+
+  void FillLeftBelowEdgeEvent(SweepContext& tcx, Edge* edge, Node& node);
+
+  void FillLeftConcaveEdgeEvent(SweepContext& tcx, Edge* edge, Node& node);
+
+  void FillLeftConvexEdgeEvent(SweepContext& tcx, Edge* edge, Node& node);
+
+  void FlipEdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle* t, Point& p);
+
+  /**
+   * After a flip we have two triangles and know that only one will still be
+   * intersecting the edge. So decide which to contiune with and legalize the other
+   * 
+   * @param tcx
+   * @param o - should be the result of an orient2d( eq, op, ep )
+   * @param t - triangle 1
+   * @param ot - triangle 2
+   * @param p - a point shared by both triangles 
+   * @param op - another point shared by both triangles
+   * @return returns the triangle still intersecting the edge
+   */
+  Triangle& NextFlipTriangle(SweepContext& tcx, int o, Triangle&  t, Triangle& ot, Point& p, Point& op);
+
+   /**
+     * When we need to traverse from one triangle to the next we need 
+     * the point in current triangle that is the opposite point to the next
+     * triangle. 
+     * 
+     * @param ep
+     * @param eq
+     * @param ot
+     * @param op
+     * @return
+     */
+  Point& NextFlipPoint(Point& ep, Point& eq, Triangle& ot, Point& op);
+
+   /**
+     * Scan part of the FlipScan algorithm<br>
+     * When a triangle pair isn't flippable we will scan for the next 
+     * point that is inside the flip triangle scan area. When found 
+     * we generate a new flipEdgeEvent
+     * 
+     * @param tcx
+     * @param ep - last point on the edge we are traversing
+     * @param eq - first point on the edge we are traversing
+     * @param flipTriangle - the current triangle sharing the point eq with edge
+     * @param t
+     * @param p
+     */
+  void FlipScanEdgeEvent(SweepContext& tcx, Point& ep, Point& eq, Triangle& flip_triangle, Triangle& t, Point& p);
+
+  void FinalizationPolygon(SweepContext& tcx);
+
+  std::vector<Node*> nodes_;
+
+};
+
+}
+
+#endif

polygon/poly2tri/sweep/sweep_context.cc

@@ -0,0 +1,216 @@
+/*
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+#include "sweep_context.h"
+#include <algorithm>
+#include "advancing_front.h"
+
+namespace p2t {
+
+SweepContext::SweepContext(std::vector<Point*> polyline) :
+  front_(0),
+  head_(0),
+  tail_(0),
+  af_head_(0),
+  af_middle_(0),
+  af_tail_(0)
+{
+  basin = Basin();
+  edge_event = EdgeEvent();
+
+  points_ = polyline;
+
+  InitEdges(points_);
+}
+
+void SweepContext::AddHole(std::vector<Point*> polyline)
+{
+  InitEdges(polyline);
+  for(unsigned int i = 0; i < polyline.size(); i++) {
+    points_.push_back(polyline[i]);
+  }
+}
+
+void SweepContext::AddPoint(Point* point) {
+  points_.push_back(point);
+}
+
+std::vector<Triangle*> SweepContext::GetTriangles()
+{
+  return triangles_;
+}
+
+std::list<Triangle*> SweepContext::GetMap()
+{
+  return map_;
+}
+
+void SweepContext::InitTriangulation()
+{
+  double xmax(points_[0]->x), xmin(points_[0]->x);
+  double ymax(points_[0]->y), ymin(points_[0]->y);
+
+  // Calculate bounds.
+  for (unsigned int i = 0; i < points_.size(); i++) {
+    Point& p = *points_[i];
+    if (p.x > xmax)
+      xmax = p.x;
+    if (p.x < xmin)
+      xmin = p.x;
+    if (p.y > ymax)
+      ymax = p.y;
+    if (p.y < ymin)
+      ymin = p.y;
+  }
+
+  double dx = kAlpha * (xmax - xmin);
+  double dy = kAlpha * (ymax - ymin);
+  head_ = new Point(xmax + dx, ymin - dy);
+  tail_ = new Point(xmin - dx, ymin - dy);
+
+  // Sort points along y-axis
+  std::sort(points_.begin(), points_.end(), cmp);
+
+}
+
+void SweepContext::InitEdges(std::vector<Point*> polyline)
+{
+  int num_points = polyline.size();
+  for (int i = 0; i < num_points; i++) {
+    int j = i < num_points - 1 ? i + 1 : 0;
+    edge_list.push_back(new Edge(*polyline[i], *polyline[j]));
+  }
+}
+
+Point* SweepContext::GetPoint(const int& index)
+{
+  return points_[index];
+}
+
+void SweepContext::AddToMap(Triangle* triangle)
+{
+  map_.push_back(triangle);
+}
+
+Node& SweepContext::LocateNode(Point& point)
+{
+  // TODO implement search tree
+  return *front_->LocateNode(point.x);
+}
+
+void SweepContext::CreateAdvancingFront(std::vector<Node*> nodes)
+{
+
+  (void) nodes;
+  // Initial triangle
+  Triangle* triangle = new Triangle(*points_[0], *tail_, *head_);
+
+  map_.push_back(triangle);
+
+  af_head_ = new Node(*triangle->GetPoint(1), *triangle);
+  af_middle_ = new Node(*triangle->GetPoint(0), *triangle);
+  af_tail_ = new Node(*triangle->GetPoint(2));
+  front_ = new AdvancingFront(*af_head_, *af_tail_);
+
+  // TODO: More intuitive if head is middles next and not previous?
+  //       so swap head and tail
+  af_head_->next = af_middle_;
+  af_middle_->next = af_tail_;
+  af_middle_->prev = af_head_;
+  af_tail_->prev = af_middle_;
+}
+
+void SweepContext::RemoveNode(Node* node)
+{
+  delete node;
+}
+
+void SweepContext::MapTriangleToNodes(Triangle& t)
+{
+  for (int i = 0; i < 3; i++) {
+    if (!t.GetNeighbor(i)) {
+      Node* n = front_->LocatePoint(t.PointCW(*t.GetPoint(i)));
+      if (n)
+        n->triangle = &t;
+    }
+  }
+}
+
+void SweepContext::RemoveFromMap(Triangle* triangle)
+{
+  map_.remove(triangle);
+}
+
+void SweepContext::MeshClean(Triangle& triangle)
+{
+  std::vector<Triangle *> triangles;
+  triangles.push_back(&triangle);
+
+  while(!triangles.empty()){
+	Triangle *t = triangles.back();
+	triangles.pop_back();
+
+    if (t != NULL && !t->IsInterior()) {
+      t->IsInterior(true);
+      triangles_.push_back(t);
+      for (int i = 0; i < 3; i++) {
+        if (!t->constrained_edge[i])
+          triangles.push_back(t->GetNeighbor(i));
+      }
+    }
+  }
+}
+
+SweepContext::~SweepContext()
+{
+
+    // Clean up memory
+
+    delete head_;
+    delete tail_;
+    delete front_;
+    delete af_head_;
+    delete af_middle_;
+    delete af_tail_;
+
+    typedef std::list<Triangle*> type_list;
+
+    for(type_list::iterator iter = map_.begin(); iter != map_.end(); ++iter) {
+        Triangle* ptr = *iter;
+        delete ptr;
+    }
+
+     for(unsigned int i = 0; i < edge_list.size(); i++) {
+        delete edge_list[i];
+    }
+
+}
+
+}

polygon/poly2tri/sweep/sweep_context.h

@@ -0,0 +1,186 @@
+/*
+ * Poly2Tri Copyright (c) 2009-2010, Poly2Tri Contributors
+ * http://code.google.com/p/poly2tri/
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ *   this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ *   this list of conditions and the following disclaimer in the documentation
+ *   and/or other materials provided with the distribution.
+ * * Neither the name of Poly2Tri nor the names of its contributors may be
+ *   used to endorse or promote products derived from this software without specific
+ *   prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#ifndef SWEEP_CONTEXT_H
+#define SWEEP_CONTEXT_H
+
+#include <list>
+#include <vector>
+#include <cstddef>
+
+namespace p2t {
+
+// Inital triangle factor, seed triangle will extend 30% of
+// PointSet width to both left and right.
+const double kAlpha = 0.3;
+
+struct Point;
+class Triangle;
+struct Node;
+struct Edge;
+class AdvancingFront;
+
+class SweepContext {
+public:
+
+/// Constructor
+SweepContext(std::vector<Point*> polyline);
+/// Destructor
+~SweepContext();
+
+void set_head(Point* p1);
+
+Point* head();
+
+void set_tail(Point* p1);
+
+Point* tail();
+
+int point_count();
+
+Node& LocateNode(Point& point);
+
+void RemoveNode(Node* node);
+
+void CreateAdvancingFront(std::vector<Node*> nodes);
+
+/// Try to map a node to all sides of this triangle that don't have a neighbor
+void MapTriangleToNodes(Triangle& t);
+
+void AddToMap(Triangle* triangle);
+
+Point* GetPoint(const int& index);
+
+Point* GetPoints();
+
+void RemoveFromMap(Triangle* triangle);
+
+void AddHole(std::vector<Point*> polyline);
+
+void AddPoint(Point* point);
+
+AdvancingFront* front();
+
+void MeshClean(Triangle& triangle);
+
+std::vector<Triangle*> GetTriangles();
+std::list<Triangle*> GetMap();
+
+std::vector<Edge*> edge_list;
+
+struct Basin {
+  Node* left_node;
+  Node* bottom_node;
+  Node* right_node;
+  double width;
+  bool left_highest;
+
+  Basin() : left_node(NULL), bottom_node(NULL), right_node(NULL), width(0.0), left_highest(false)
+  {
+  }
+
+  void Clear()
+  {
+    left_node = NULL;
+    bottom_node = NULL;
+    right_node = NULL;
+    width = 0.0;
+    left_highest = false;
+  }
+};
+
+struct EdgeEvent {
+  Edge* constrained_edge;
+  bool right;
+
+  EdgeEvent() : constrained_edge(NULL), right(false)
+  {
+  }
+};
+
+Basin basin;
+EdgeEvent edge_event;
+
+private:
+
+friend class Sweep;
+
+std::vector<Triangle*> triangles_;
+std::list<Triangle*> map_;
+std::vector<Point*> points_;
+
+// Advancing front
+AdvancingFront* front_;
+// head point used with advancing front
+Point* head_;
+// tail point used with advancing front
+Point* tail_;
+
+Node *af_head_, *af_middle_, *af_tail_;
+
+void InitTriangulation();
+void InitEdges(std::vector<Point*> polyline);
+
+};
+
+inline AdvancingFront* SweepContext::front()
+{
+  return front_;
+}
+
+inline int SweepContext::point_count()
+{
+  return points_.size();
+}
+
+inline void SweepContext::set_head(Point* p1)
+{
+  head_ = p1;
+}
+
+inline Point* SweepContext::head()
+{
+  return head_;
+}
+
+inline void SweepContext::set_tail(Point* p1)
+{
+  tail_ = p1;
+}
+
+inline Point* SweepContext::tail()
+{
+  return tail_;
+}
+
+}
+
+#endif