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nathan@daedalus
2012-03-19 18:57:59 -05:00
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axios/Common/Decomposition/CDT/Delaunay/DelaunayTriangle.cs Normal file
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/* 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.
*/
// Changes from the Java version
// attributification
// Future possibilities
// Flattening out the number of indirections
// Replacing arrays of 3 with fixed-length arrays?
// Replacing bool[3] with a bit array of some sort?
// Bundling everything into an AoS mess?
// Hardcode them all as ABC ?
using System;
using System.Collections.Generic;
using System.Diagnostics;
using Poly2Tri.Triangulation.Delaunay.Sweep;
using Poly2Tri.Triangulation.Util;
namespace Poly2Tri.Triangulation.Delaunay
{
public class DelaunayTriangle
{
/** Neighbor pointers */
/** Flags to determine if an edge is a Delauney edge */
public FixedBitArray3 EdgeIsConstrained;
/** Flags to determine if an edge is a Constrained edge */
public FixedBitArray3 EdgeIsDelaunay;
public FixedArray3<DelaunayTriangle> Neighbors;
/** Has this triangle been marked as an interior triangle? */
public FixedArray3<TriangulationPoint> Points;
public DelaunayTriangle(TriangulationPoint p1, TriangulationPoint p2, TriangulationPoint p3)
{
Points[0] = p1;
Points[1] = p2;
Points[2] = p3;
}
public bool IsInterior { get; set; }
public int IndexOf(TriangulationPoint p)
{
int i = Points.IndexOf(p);
if (i == -1) throw new Exception("Calling index with a point that doesn't exist in triangle");
return i;
}
//TODO: Port note - different implementation
public int IndexCW(TriangulationPoint p)
{
int index = IndexOf(p);
switch (index)
{
case 0:
return 2;
case 1:
return 0;
default:
return 1;
}
}
//TODO: Port note - different implementation
public int IndexCCW(TriangulationPoint p)
{
int index = IndexOf(p);
switch (index)
{
case 0:
return 1;
case 1:
return 2;
default:
return 0;
}
}
public bool Contains(TriangulationPoint p)
{
return (p == Points[0] || p == Points[1] || p == Points[2]);
}
public bool Contains(DTSweepConstraint e)
{
return (Contains(e.P) && Contains(e.Q));
}
public bool Contains(TriangulationPoint p, TriangulationPoint q)
{
return (Contains(p) && Contains(q));
}
/// <summary>
/// Update neighbor pointers
/// </summary>
/// <param name="p1">Point 1 of the shared edge</param>
/// <param name="p2">Point 2 of the shared edge</param>
/// <param name="t">This triangle's new neighbor</param>
private void MarkNeighbor(TriangulationPoint p1, TriangulationPoint p2, DelaunayTriangle 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
{
Debug.WriteLine("Neighbor error, please report!");
// throw new Exception("Neighbor error, please report!");
}
}
/// <summary>
/// Exhaustive search to update neighbor pointers
/// </summary>
public void MarkNeighbor(DelaunayTriangle 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);
}
else
{
Debug.WriteLine("markNeighbor failed");
}
}
public void ClearNeighbors()
{
Neighbors[0] = Neighbors[1] = Neighbors[2] = null;
}
public void ClearNeighbor(DelaunayTriangle triangle)
{
if (Neighbors[0] == triangle)
{
Neighbors[0] = null;
}
else if (Neighbors[1] == triangle)
{
Neighbors[1] = null;
}
else
{
Neighbors[2] = null;
}
}
/**
* Clears all references to all other triangles and points
*/
public void Clear()
{
DelaunayTriangle 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;
}
/// <param name="t">Opposite triangle</param>
/// <param name="p">The point in t that isn't shared between the triangles</param>
public TriangulationPoint OppositePoint(DelaunayTriangle t, TriangulationPoint p)
{
Debug.Assert(t != this, "self-pointer error");
return PointCW(t.PointCW(p));
}
public DelaunayTriangle NeighborCW(TriangulationPoint point)
{
return Neighbors[(Points.IndexOf(point) + 1)%3];
}
public DelaunayTriangle NeighborCCW(TriangulationPoint point)
{
return Neighbors[(Points.IndexOf(point) + 2)%3];
}
public DelaunayTriangle NeighborAcross(TriangulationPoint point)
{
return Neighbors[Points.IndexOf(point)];
}
public TriangulationPoint PointCCW(TriangulationPoint point)
{
return Points[(IndexOf(point) + 1)%3];
}
public TriangulationPoint PointCW(TriangulationPoint point)
{
return Points[(IndexOf(point) + 2)%3];
}
private void RotateCW()
{
var t = Points[2];
Points[2] = Points[1];
Points[1] = Points[0];
Points[0] = t;
}
/// <summary>
/// Legalize triangle by rotating clockwise around oPoint
/// </summary>
/// <param name="oPoint">The origin point to rotate around</param>
/// <param name="nPoint">???</param>
public void Legalize(TriangulationPoint oPoint, TriangulationPoint nPoint)
{
RotateCW();
Points[IndexCCW(oPoint)] = nPoint;
}
public override string ToString()
{
return Points[0] + "," + Points[1] + "," + Points[2];
}
/// <summary>
/// Finalize edge marking
/// </summary>
public void MarkNeighborEdges()
{
for (int i = 0; i < 3; i++)
if (EdgeIsConstrained[i] && Neighbors[i] != null)
{
Neighbors[i].MarkConstrainedEdge(Points[(i + 1)%3], Points[(i + 2)%3]);
}
}
public void MarkEdge(DelaunayTriangle triangle)
{
for (int i = 0; i < 3; i++)
if (EdgeIsConstrained[i])
{
triangle.MarkConstrainedEdge(Points[(i + 1)%3], Points[(i + 2)%3]);
}
}
public void MarkEdge(List<DelaunayTriangle> tList)
{
foreach (DelaunayTriangle t in tList)
for (int i = 0; i < 3; i++)
if (t.EdgeIsConstrained[i])
{
MarkConstrainedEdge(t.Points[(i + 1)%3], t.Points[(i + 2)%3]);
}
}
public void MarkConstrainedEdge(int index)
{
EdgeIsConstrained[index] = true;
}
public void MarkConstrainedEdge(DTSweepConstraint edge)
{
MarkConstrainedEdge(edge.P, edge.Q);
}
/// <summary>
/// Mark edge as constrained
/// </summary>
public void MarkConstrainedEdge(TriangulationPoint p, TriangulationPoint q)
{
int i = EdgeIndex(p, q);
if (i != -1) EdgeIsConstrained[i] = true;
}
public double Area()
{
double b = Points[0].X - Points[1].X;
double h = Points[2].Y - Points[1].Y;
return Math.Abs((b*h*0.5f));
}
public TriangulationPoint Centroid()
{
double cx = (Points[0].X + Points[1].X + Points[2].X)/3f;
double cy = (Points[0].Y + Points[1].Y + Points[2].Y)/3f;
return new TriangulationPoint(cx, cy);
}
/// <summary>
/// Get the index of the neighbor that shares this edge (or -1 if it isn't shared)
/// </summary>
/// <returns>index of the shared edge or -1 if edge isn't shared</returns>
public int EdgeIndex(TriangulationPoint p1, TriangulationPoint p2)
{
int i1 = Points.IndexOf(p1);
int i2 = Points.IndexOf(p2);
// Points of this triangle in the edge p1-p2
bool a = (i1 == 0 || i2 == 0);
bool b = (i1 == 1 || i2 == 1);
bool c = (i1 == 2 || i2 == 2);
if (b && c) return 0;
if (a && c) return 1;
if (a && b) return 2;
return -1;
}
public bool GetConstrainedEdgeCCW(TriangulationPoint p)
{
return EdgeIsConstrained[(IndexOf(p) + 2)%3];
}
public bool GetConstrainedEdgeCW(TriangulationPoint p)
{
return EdgeIsConstrained[(IndexOf(p) + 1)%3];
}
public bool GetConstrainedEdgeAcross(TriangulationPoint p)
{
return EdgeIsConstrained[IndexOf(p)];
}
public void SetConstrainedEdgeCCW(TriangulationPoint p, bool ce)
{
EdgeIsConstrained[(IndexOf(p) + 2)%3] = ce;
}
public void SetConstrainedEdgeCW(TriangulationPoint p, bool ce)
{
EdgeIsConstrained[(IndexOf(p) + 1)%3] = ce;
}
public void SetConstrainedEdgeAcross(TriangulationPoint p, bool ce)
{
EdgeIsConstrained[IndexOf(p)] = ce;
}
public bool GetDelaunayEdgeCCW(TriangulationPoint p)
{
return EdgeIsDelaunay[(IndexOf(p) + 2)%3];
}
public bool GetDelaunayEdgeCW(TriangulationPoint p)
{
return EdgeIsDelaunay[(IndexOf(p) + 1)%3];
}
public bool GetDelaunayEdgeAcross(TriangulationPoint p)
{
return EdgeIsDelaunay[IndexOf(p)];
}
public void SetDelaunayEdgeCCW(TriangulationPoint p, bool ce)
{
EdgeIsDelaunay[(IndexOf(p) + 2)%3] = ce;
}
public void SetDelaunayEdgeCW(TriangulationPoint p, bool ce)
{
EdgeIsDelaunay[(IndexOf(p) + 1)%3] = ce;
}
public void SetDelaunayEdgeAcross(TriangulationPoint p, bool ce)
{
EdgeIsDelaunay[IndexOf(p)] = ce;
}
}
}

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axios/Common/Decomposition/CDT/Delaunay/Sweep/AdvancingFront.cs Normal file
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/* 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.
*/
// Changes from the Java version
// Removed BST code, but not all artifacts of it
// Future possibilities
// Eliminate Add/RemoveNode ?
// Comments comments and more comments!
using System;
using System.Text;
namespace Poly2Tri.Triangulation.Delaunay.Sweep
{
/**
* @author Thomas Åhlen (thahlen@gmail.com)
*/
public class AdvancingFront
{
public AdvancingFrontNode Head;
protected AdvancingFrontNode Search;
public AdvancingFrontNode Tail;
public AdvancingFront(AdvancingFrontNode head, AdvancingFrontNode tail)
{
Head = head;
Tail = tail;
Search = head;
AddNode(head);
AddNode(tail);
}
public void AddNode(AdvancingFrontNode node)
{
//_searchTree.put(node.key, node);
}
public void RemoveNode(AdvancingFrontNode node)
{
//_searchTree.delete( node.key );
}
public override string ToString()
{
StringBuilder sb = new StringBuilder();
AdvancingFrontNode node = Head;
while (node != Tail)
{
sb.Append(node.Point.X).Append("->");
node = node.Next;
}
sb.Append(Tail.Point.X);
return sb.ToString();
}
/// <summary>
/// MM: This seems to be used by LocateNode to guess a position in the implicit linked list of AdvancingFrontNodes near x
/// Removed an overload that depended on this being exact
/// </summary>
private AdvancingFrontNode FindSearchNode(double x)
{
// TODO: implement BST index
return Search;
}
/// <summary>
/// We use a balancing tree to locate a node smaller or equal to given key value
/// </summary>
public AdvancingFrontNode LocateNode(TriangulationPoint point)
{
return LocateNode(point.X);
}
private AdvancingFrontNode LocateNode(double x)
{
AdvancingFrontNode node = FindSearchNode(x);
if (x < node.Value)
{
while ((node = node.Prev) != null)
if (x >= node.Value)
{
Search = node;
return node;
}
}
else
{
while ((node = node.Next) != null)
if (x < node.Value)
{
Search = node.Prev;
return node.Prev;
}
}
return null;
}
/// <summary>
/// This implementation will use simple node traversal algorithm to find a point on the front
/// </summary>
public AdvancingFrontNode LocatePoint(TriangulationPoint point)
{
double px = point.X;
AdvancingFrontNode node = FindSearchNode(px);
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
{
throw new Exception("Failed to find Node for given afront point");
//node = null;
}
}
}
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;
}
}
}
Search = node;
return node;
}
}
}

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axios/Common/Decomposition/CDT/Delaunay/Sweep/AdvancingFrontNode.cs Normal file
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/* 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.
*/
// Changes from the Java version
// Removed getters
// Has* turned into attributes
// Future possibilities
// Comments!
namespace Poly2Tri.Triangulation.Delaunay.Sweep
{
public class AdvancingFrontNode
{
public AdvancingFrontNode Next;
public TriangulationPoint Point;
public AdvancingFrontNode Prev;
public DelaunayTriangle Triangle;
public double Value;
public AdvancingFrontNode(TriangulationPoint point)
{
Point = point;
Value = point.X;
}
public bool HasNext
{
get { return Next != null; }
}
public bool HasPrev
{
get { return Prev != null; }
}
}
}

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axios/Common/Decomposition/CDT/Delaunay/Sweep/DTSweep.cs Normal file
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axios/Common/Decomposition/CDT/Delaunay/Sweep/DTSweepConstraint.cs Normal file
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/* 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.
*/
namespace Poly2Tri.Triangulation.Delaunay.Sweep
{
public class DTSweepConstraint : TriangulationConstraint
{
/// <summary>
/// Give two points in any order. Will always be ordered so
/// that q.y > p.y and q.x > p.x if same y value
/// </summary>
public DTSweepConstraint(TriangulationPoint p1, TriangulationPoint 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)
{
// logger.info( "Failed to create constraint {}={}", p1, p2 );
// throw new DuplicatePointException( p1 + "=" + p2 );
// return;
}
}
Q.AddEdge(this);
}
}
}

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/* 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.
*/
namespace Poly2Tri.Triangulation.Delaunay.Sweep
{
/**
*
* @author Thomas Åhlén, thahlen@gmail.com
*
*/
public class DTSweepContext : TriangulationContext
{
// Inital triangle factor, seed triangle will extend 30% of
// PointSet width to both left and right.
private const float ALPHA = 0.3f;
public DTSweepBasin Basin = new DTSweepBasin();
public DTSweepEdgeEvent EdgeEvent = new DTSweepEdgeEvent();
private DTSweepPointComparator _comparator = new DTSweepPointComparator();
public AdvancingFront aFront;
public DTSweepContext()
{
Clear();
}
public TriangulationPoint Head { get; set; }
public TriangulationPoint Tail { get; set; }
public void RemoveFromList(DelaunayTriangle triangle)
{
Triangles.Remove(triangle);
// TODO: remove all neighbor pointers to this triangle
// for( int i=0; i<3; i++ )
// {
// if( triangle.neighbors[i] != null )
// {
// triangle.neighbors[i].clearNeighbor( triangle );
// }
// }
// triangle.clearNeighbors();
}
public void MeshClean(DelaunayTriangle triangle)
{
MeshCleanReq(triangle);
}
private void MeshCleanReq(DelaunayTriangle triangle)
{
if (triangle != null && !triangle.IsInterior)
{
triangle.IsInterior = true;
Triangulatable.AddTriangle(triangle);
for (int i = 0; i < 3; i++)
{
if (!triangle.EdgeIsConstrained[i])
{
MeshCleanReq(triangle.Neighbors[i]);
}
}
}
}
public override void Clear()
{
base.Clear();
Triangles.Clear();
}
public void AddNode(AdvancingFrontNode node)
{
// Console.WriteLine( "add:" + node.key + ":" + System.identityHashCode(node.key));
// m_nodeTree.put( node.getKey(), node );
aFront.AddNode(node);
}
public void RemoveNode(AdvancingFrontNode node)
{
// Console.WriteLine( "remove:" + node.key + ":" + System.identityHashCode(node.key));
// m_nodeTree.delete( node.getKey() );
aFront.RemoveNode(node);
}
public AdvancingFrontNode LocateNode(TriangulationPoint point)
{
return aFront.LocateNode(point);
}
public void CreateAdvancingFront()
{
AdvancingFrontNode head, tail, middle;
// Initial triangle
DelaunayTriangle iTriangle = new DelaunayTriangle(Points[0], Tail, Head);
Triangles.Add(iTriangle);
head = new AdvancingFrontNode(iTriangle.Points[1]);
head.Triangle = iTriangle;
middle = new AdvancingFrontNode(iTriangle.Points[0]);
middle.Triangle = iTriangle;
tail = new AdvancingFrontNode(iTriangle.Points[2]);
aFront = new AdvancingFront(head, tail);
aFront.AddNode(middle);
// TODO: I think it would be more intuitive if head is middles next and not previous
// so swap head and tail
aFront.Head.Next = middle;
middle.Next = aFront.Tail;
middle.Prev = aFront.Head;
aFront.Tail.Prev = middle;
}
/// <summary>
/// Try to map a node to all sides of this triangle that don't have
/// a neighbor.
/// </summary>
public void MapTriangleToNodes(DelaunayTriangle t)
{
AdvancingFrontNode n;
for (int i = 0; i < 3; i++)
{
if (t.Neighbors[i] == null)
{
n = aFront.LocatePoint(t.PointCW(t.Points[i]));
if (n != null)
{
n.Triangle = t;
}
}
}
}
public override void PrepareTriangulation(Triangulatable t)
{
base.PrepareTriangulation(t);
double xmax, xmin;
double ymax, ymin;
xmax = xmin = Points[0].X;
ymax = ymin = Points[0].Y;
// Calculate bounds. Should be combined with the sorting
foreach (TriangulationPoint p in Points)
{
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 deltaX = ALPHA*(xmax - xmin);
double deltaY = ALPHA*(ymax - ymin);
TriangulationPoint p1 = new TriangulationPoint(xmax + deltaX, ymin - deltaY);
TriangulationPoint p2 = new TriangulationPoint(xmin - deltaX, ymin - deltaY);
Head = p1;
Tail = p2;
// long time = System.nanoTime();
// Sort the points along y-axis
Points.Sort(_comparator);
// logger.info( "Triangulation setup [{}ms]", ( System.nanoTime() - time ) / 1e6 );
}
public void FinalizeTriangulation()
{
Triangulatable.AddTriangles(Triangles);
Triangles.Clear();
}
public override TriangulationConstraint NewConstraint(TriangulationPoint a, TriangulationPoint b)
{
return new DTSweepConstraint(a, b);
}
#region Nested type: DTSweepBasin
public class DTSweepBasin
{
public AdvancingFrontNode bottomNode;
public bool leftHighest;
public AdvancingFrontNode leftNode;
public AdvancingFrontNode rightNode;
public double width;
}
#endregion
#region Nested type: DTSweepEdgeEvent
public class DTSweepEdgeEvent
{
public DTSweepConstraint ConstrainedEdge;
public bool Right;
}
#endregion
}
}

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/* 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.
*/
using System.Collections.Generic;
namespace Poly2Tri.Triangulation.Delaunay.Sweep
{
public class DTSweepPointComparator : IComparer<TriangulationPoint>
{
#region IComparer<TriangulationPoint> Members
public int Compare(TriangulationPoint p1, TriangulationPoint p2)
{
if (p1.Y < p2.Y)
{
return -1;
}
else if (p1.Y > p2.Y)
{
return 1;
}
else
{
if (p1.X < p2.X)
{
return -1;
}
else if (p1.X > p2.X)
{
return 1;
}
else
{
return 0;
}
}
}
#endregion
}
}

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/* 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.
*/
using System;
namespace Poly2Tri.Triangulation.Delaunay.Sweep
{
public class PointOnEdgeException : NotImplementedException
{
public PointOnEdgeException(string message)
: base(message)
{
}
}
}

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/* 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.
*/
using System.Collections.Generic;
using Poly2Tri.Triangulation.Delaunay;
namespace Poly2Tri.Triangulation
{
public interface Triangulatable
{
IList<TriangulationPoint> Points { get; } // MM: Neither of these are used via interface (yet?)
IList<DelaunayTriangle> Triangles { get; }
TriangulationMode TriangulationMode { get; }
void PrepareTriangulation(TriangulationContext tcx);
void AddTriangle(DelaunayTriangle t);
void AddTriangles(IEnumerable<DelaunayTriangle> list);
void ClearTriangles();
}
}

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/* 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.
*/
namespace FarseerPhysics.Common.Decomposition.CDT
{
public enum Orientation
{
CW,
CCW,
Collinear
}
}

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/* 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.
*/
// Changes from the Java version
// Polygon constructors sprused up, checks for 3+ polys
// Naming of everything
// getTriangulationMode() -> TriangulationMode { get; }
// Exceptions replaced
// Future possibilities
// We have a lot of Add/Clear methods -- we may prefer to just expose the container
// Some self-explanitory methods may deserve commenting anyways
using System;
using System.Collections.Generic;
using System.Linq;
using Poly2Tri.Triangulation.Delaunay;
namespace Poly2Tri.Triangulation.Polygon
{
public class Polygon : Triangulatable
{
protected List<Polygon> _holes;
protected PolygonPoint _last;
protected List<TriangulationPoint> _points = new List<TriangulationPoint>();
protected List<TriangulationPoint> _steinerPoints;
protected List<DelaunayTriangle> _triangles;
/// <summary>
/// Create a polygon from a list of at least 3 points with no duplicates.
/// </summary>
/// <param name="points">A list of unique points</param>
public Polygon(IList<PolygonPoint> points)
{
if (points.Count < 3) throw new ArgumentException("List has fewer than 3 points", "points");
// Lets do one sanity check that first and last point hasn't got same position
// Its something that often happen when importing polygon data from other formats
if (points[0].Equals(points[points.Count - 1])) points.RemoveAt(points.Count - 1);
_points.AddRange(points.Cast<TriangulationPoint>());
}
/// <summary>
/// Create a polygon from a list of at least 3 points with no duplicates.
/// </summary>
/// <param name="points">A list of unique points.</param>
public Polygon(IEnumerable<PolygonPoint> points) : this((points as IList<PolygonPoint>) ?? points.ToArray())
{
}
public Polygon()
{
}
public IList<Polygon> Holes
{
get { return _holes; }
}
#region Triangulatable Members
public TriangulationMode TriangulationMode
{
get { return TriangulationMode.Polygon; }
}
public IList<TriangulationPoint> Points
{
get { return _points; }
}
public IList<DelaunayTriangle> Triangles
{
get { return _triangles; }
}
public void AddTriangle(DelaunayTriangle t)
{
_triangles.Add(t);
}
public void AddTriangles(IEnumerable<DelaunayTriangle> list)
{
_triangles.AddRange(list);
}
public void ClearTriangles()
{
if (_triangles != null) _triangles.Clear();
}
/// <summary>
/// Creates constraints and populates the context with points
/// </summary>
/// <param name="tcx">The context</param>
public void PrepareTriangulation(TriangulationContext tcx)
{
if (_triangles == null)
{
_triangles = new List<DelaunayTriangle>(_points.Count);
}
else
{
_triangles.Clear();
}
// Outer constraints
for (int i = 0; i < _points.Count - 1; i++)
{
tcx.NewConstraint(_points[i], _points[i + 1]);
}
tcx.NewConstraint(_points[0], _points[_points.Count - 1]);
tcx.Points.AddRange(_points);
// Hole constraints
if (_holes != null)
{
foreach (Polygon p in _holes)
{
for (int i = 0; i < p._points.Count - 1; i++)
{
tcx.NewConstraint(p._points[i], p._points[i + 1]);
}
tcx.NewConstraint(p._points[0], p._points[p._points.Count - 1]);
tcx.Points.AddRange(p._points);
}
}
if (_steinerPoints != null)
{
tcx.Points.AddRange(_steinerPoints);
}
}
#endregion
public void AddSteinerPoint(TriangulationPoint point)
{
if (_steinerPoints == null)
{
_steinerPoints = new List<TriangulationPoint>();
}
_steinerPoints.Add(point);
}
public void AddSteinerPoints(List<TriangulationPoint> points)
{
if (_steinerPoints == null)
{
_steinerPoints = new List<TriangulationPoint>();
}
_steinerPoints.AddRange(points);
}
public void ClearSteinerPoints()
{
if (_steinerPoints != null)
{
_steinerPoints.Clear();
}
}
/// <summary>
/// Add a hole to the polygon.
/// </summary>
/// <param name="poly">A subtraction polygon fully contained inside this polygon.</param>
public void AddHole(Polygon poly)
{
if (_holes == null) _holes = new List<Polygon>();
_holes.Add(poly);
// XXX: tests could be made here to be sure it is fully inside
// addSubtraction( poly.getPoints() );
}
/// <summary>
/// Inserts newPoint after point.
/// </summary>
/// <param name="point">The point to insert after in the polygon</param>
/// <param name="newPoint">The point to insert into the polygon</param>
public void InsertPointAfter(PolygonPoint point, PolygonPoint newPoint)
{
// Validate that
int index = _points.IndexOf(point);
if (index == -1)
throw new ArgumentException(
"Tried to insert a point into a Polygon after a point not belonging to the Polygon", "point");
newPoint.Next = point.Next;
newPoint.Previous = point;
point.Next.Previous = newPoint;
point.Next = newPoint;
_points.Insert(index + 1, newPoint);
}
/// <summary>
/// Inserts list (after last point in polygon?)
/// </summary>
/// <param name="list"></param>
public void AddPoints(IEnumerable<PolygonPoint> list)
{
PolygonPoint first;
foreach (PolygonPoint p in list)
{
p.Previous = _last;
if (_last != null)
{
p.Next = _last.Next;
_last.Next = p;
}
_last = p;
_points.Add(p);
}
first = (PolygonPoint) _points[0];
_last.Next = first;
first.Previous = _last;
}
/// <summary>
/// Adds a point after the last in the polygon.
/// </summary>
/// <param name="p">The point to add</param>
public void AddPoint(PolygonPoint p)
{
p.Previous = _last;
p.Next = _last.Next;
_last.Next = p;
_points.Add(p);
}
/// <summary>
/// Removes a point from the polygon.
/// </summary>
/// <param name="p"></param>
public void RemovePoint(PolygonPoint p)
{
PolygonPoint next, prev;
next = p.Next;
prev = p.Previous;
prev.Next = next;
next.Previous = prev;
_points.Remove(p);
}
}
}

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/* 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.
*/
// Changes from the Java version
// Replaced get/set Next/Previous with attributes
// Future possibilities
// Documentation!
namespace Poly2Tri.Triangulation.Polygon
{
public class PolygonPoint : TriangulationPoint
{
public PolygonPoint(double x, double y) : base(x, y)
{
}
public PolygonPoint Next { get; set; }
public PolygonPoint Previous { get; set; }
}
}

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/* 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.
*/
// Changes from the Java version
// Replaced getPolygons with attribute
// Future possibilities
// Replace Add(Polygon) with exposed container?
// Replace entire class with HashSet<Polygon> ?
using System.Collections.Generic;
namespace Poly2Tri.Triangulation.Polygon
{
public class PolygonSet
{
protected List<Polygon> _polygons = new List<Polygon>();
public PolygonSet()
{
}
public PolygonSet(Polygon poly)
{
_polygons.Add(poly);
}
public IEnumerable<Polygon> Polygons
{
get { return _polygons; }
}
public void Add(Polygon p)
{
_polygons.Add(p);
}
}
}

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/* 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.
*/
using System.Collections.Generic;
namespace Poly2Tri.Triangulation.Sets
{
/*
* Extends the PointSet by adding some Constraints on how it will be triangulated<br>
* A constraint defines an edge between two points in the set, these edges can not
* be crossed. They will be enforced triangle edges after a triangulation.
* <p>
*
*
* @author Thomas Åhlén, thahlen@gmail.com
*/
public class ConstrainedPointSet : PointSet
{
private List<TriangulationPoint> _constrainedPointList = null;
public ConstrainedPointSet(List<TriangulationPoint> points, int[] index)
: base(points)
{
EdgeIndex = index;
}
/**
*
* @param points - A list of all points in PointSet
* @param constraints - Pairs of two points defining a constraint, all points <b>must</b> be part of given PointSet!
*/
public ConstrainedPointSet(List<TriangulationPoint> points, IEnumerable<TriangulationPoint> constraints)
: base(points)
{
_constrainedPointList = new List<TriangulationPoint>();
_constrainedPointList.AddRange(constraints);
}
public int[] EdgeIndex { get; private set; }
public override TriangulationMode TriangulationMode
{
get { return TriangulationMode.Constrained; }
}
public override void PrepareTriangulation(TriangulationContext tcx)
{
base.PrepareTriangulation(tcx);
if (_constrainedPointList != null)
{
TriangulationPoint p1, p2;
List<TriangulationPoint>.Enumerator iterator = _constrainedPointList.GetEnumerator();
while (iterator.MoveNext())
{
p1 = iterator.Current;
iterator.MoveNext();
p2 = iterator.Current;
tcx.NewConstraint(p1, p2);
}
}
else
{
for (int i = 0; i < EdgeIndex.Length; i += 2)
{
// XXX: must change!!
tcx.NewConstraint(Points[EdgeIndex[i]], Points[EdgeIndex[i + 1]]);
}
}
}
/**
* TODO: TO BE IMPLEMENTED!
* Peforms a validation on given input<br>
* 1. Check's if there any constraint edges are crossing or collinear<br>
* 2.
* @return
*/
public bool isValid()
{
return true;
}
}
}

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/* 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.
*/
using System.Collections.Generic;
using Poly2Tri.Triangulation.Delaunay;
namespace Poly2Tri.Triangulation.Sets
{
public class PointSet : Triangulatable
{
public PointSet(List<TriangulationPoint> points)
{
Points = new List<TriangulationPoint>(points);
}
#region Triangulatable Members
public IList<TriangulationPoint> Points { get; private set; }
public IList<DelaunayTriangle> Triangles { get; private set; }
public virtual TriangulationMode TriangulationMode
{
get { return TriangulationMode.Unconstrained; }
}
public void AddTriangle(DelaunayTriangle t)
{
Triangles.Add(t);
}
public void AddTriangles(IEnumerable<DelaunayTriangle> list)
{
foreach (DelaunayTriangle tri in list) Triangles.Add(tri);
}
public void ClearTriangles()
{
Triangles.Clear();
}
public virtual void PrepareTriangulation(TriangulationContext tcx)
{
if (Triangles == null)
{
Triangles = new List<DelaunayTriangle>(Points.Count);
}
else
{
Triangles.Clear();
}
tcx.Points.AddRange(Points);
}
#endregion
}
}

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/* 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.
*/
/**
* Forces a triangle edge between two points p and q
* when triangulating. For example used to enforce
* Polygon Edges during a polygon triangulation.
*
* @author Thomas Åhlén, thahlen@gmail.com
*/
namespace Poly2Tri.Triangulation
{
public class TriangulationConstraint
{
public TriangulationPoint P;
public TriangulationPoint Q;
}
}

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/* 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.
*/
using System.Collections.Generic;
using System.Runtime.CompilerServices;
using Poly2Tri.Triangulation.Delaunay;
namespace Poly2Tri.Triangulation
{
public abstract class TriangulationContext
{
public readonly List<TriangulationPoint> Points = new List<TriangulationPoint>(200);
public readonly List<DelaunayTriangle> Triangles = new List<DelaunayTriangle>();
#pragma warning disable 414
private int _stepTime = -1;
#pragma warning restore 414
public TriangulationContext()
{
Terminated = false;
}
public TriangulationMode TriangulationMode { get; protected set; }
public Triangulatable Triangulatable { get; private set; }
public bool WaitUntilNotified { get; private set; }
public bool Terminated { get; set; }
public int StepCount { get; private set; }
public virtual bool IsDebugEnabled { get; protected set; }
public void Done()
{
StepCount++;
}
public virtual void PrepareTriangulation(Triangulatable t)
{
Triangulatable = t;
TriangulationMode = t.TriangulationMode;
t.PrepareTriangulation(this);
}
public abstract TriangulationConstraint NewConstraint(TriangulationPoint a, TriangulationPoint b);
[MethodImpl(MethodImplOptions.Synchronized)]
public void Update(string message)
{
}
public virtual void Clear()
{
Points.Clear();
Terminated = false;
StepCount = 0;
}
}
}

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/* 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.
*/
namespace Poly2Tri.Triangulation
{
public enum TriangulationMode
{
Unconstrained,
Constrained,
Polygon
}
}

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/* 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.
*/
using System.Collections.Generic;
using Poly2Tri.Triangulation.Delaunay.Sweep;
namespace Poly2Tri.Triangulation
{
public class TriangulationPoint
{
// List of edges this point constitutes an upper ending point (CDT)
public double X, Y;
public TriangulationPoint(double x, double y)
{
X = x;
Y = y;
}
public List<DTSweepConstraint> Edges { get; private set; }
public float Xf
{
get { return (float) X; }
set { X = value; }
}
public float Yf
{
get { return (float) Y; }
set { Y = value; }
}
public bool HasEdges
{
get { return Edges != null; }
}
public override string ToString()
{
return "[" + X + "," + Y + "]";
}
public void AddEdge(DTSweepConstraint e)
{
if (Edges == null)
{
Edges = new List<DTSweepConstraint>();
}
Edges.Add(e);
}
}
}

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/* 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.
*/
using FarseerPhysics.Common.Decomposition.CDT;
namespace Poly2Tri.Triangulation
{
/**
* @author Thomas Åhlén, thahlen@gmail.com
*/
public class TriangulationUtil
{
public static double EPSILON = 1e-12;
/// <summary>
/// Requirements:
/// 1. a,b and c form a triangle.
/// 2. a and d is know to be on opposite side of bc
/// <code>
/// a
/// +
/// / \
/// / \
/// b/ \c
/// +-------+
/// / B \
/// / \
/// </code>
/// Facts:
/// d has to be in area B to have a chance to be inside the circle formed by a,b and c
/// d is outside B if orient2d(a,b,d) or orient2d(c,a,d) is CW
/// This preknowledge gives us a way to optimize the incircle test
/// </summary>
/// <param name="pa">triangle point, opposite d</param>
/// <param name="pb">triangle point</param>
/// <param name="pc">triangle point</param>
/// <param name="pd">point opposite a</param>
/// <returns>true if d is inside circle, false if on circle edge</returns>
public static bool SmartIncircle(TriangulationPoint pa, TriangulationPoint pb, TriangulationPoint pc,
TriangulationPoint 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;
// oabd = orient2d(pa,pb,pd);
if (oabd <= 0) return false;
double cdx = pc.X - pdx;
double cdy = pc.Y - pdy;
double cdxady = cdx*ady;
double adxcdy = adx*cdy;
double ocad = cdxady - adxcdy;
// ocad = orient2d(pc,pa,pd);
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;
}
public static bool InScanArea(TriangulationPoint pa, TriangulationPoint pb, TriangulationPoint pc,
TriangulationPoint 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;
// oabd = orient2d(pa,pb,pd);
if (oabd <= 0)
{
return false;
}
double cdx = pc.X - pdx;
double cdy = pc.Y - pdy;
double cdxady = cdx*ady;
double adxcdy = adx*cdy;
double ocad = cdxady - adxcdy;
// ocad = orient2d(pc,pa,pd);
if (ocad <= 0)
{
return false;
}
return true;
}
/// Forumla to calculate signed area
/// Positive if CCW
/// Negative if CW
/// 0 if collinear
/// A[P1,P2,P3] = (x1*y2 - y1*x2) + (x2*y3 - y2*x3) + (x3*y1 - y3*x1)
/// = (x1-x3)*(y2-y3) - (y1-y3)*(x2-x3)
public static Orientation Orient2d(TriangulationPoint pa, TriangulationPoint pb, TriangulationPoint 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 Orientation.Collinear;
}
else if (val > 0)
{
return Orientation.CCW;
}
return Orientation.CW;
}
}
}

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/* 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.
*/
using System;
using System.Collections;
using System.Collections.Generic;
namespace Poly2Tri.Triangulation.Util
{
public struct FixedArray3<T> : IEnumerable<T> where T : class
{
public T _0, _1, _2;
public T this[int index]
{
get
{
switch (index)
{
case 0:
return _0;
case 1:
return _1;
case 2:
return _2;
default:
throw new IndexOutOfRangeException();
}
}
set
{
switch (index)
{
case 0:
_0 = value;
break;
case 1:
_1 = value;
break;
case 2:
_2 = value;
break;
default:
throw new IndexOutOfRangeException();
}
}
}
#region IEnumerable<T> Members
public IEnumerator<T> GetEnumerator()
{
return Enumerate().GetEnumerator();
}
IEnumerator IEnumerable.GetEnumerator()
{
return GetEnumerator();
}
#endregion
public bool Contains(T value)
{
for (int i = 0; i < 3; ++i) if (this[i] == value) return true;
return false;
}
public int IndexOf(T value)
{
for (int i = 0; i < 3; ++i) if (this[i] == value) return i;
return -1;
}
public void Clear()
{
_0 = _1 = _2 = null;
}
public void Clear(T value)
{
for (int i = 0; i < 3; ++i) if (this[i] == value) this[i] = null;
}
private IEnumerable<T> Enumerate()
{
for (int i = 0; i < 3; ++i) yield return this[i];
}
}
}

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/* 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.
*/
using System;
using System.Collections;
using System.Collections.Generic;
namespace Poly2Tri.Triangulation.Util
{
public struct FixedBitArray3 : IEnumerable<bool>
{
public bool _0, _1, _2;
public bool this[int index]
{
get
{
switch (index)
{
case 0:
return _0;
case 1:
return _1;
case 2:
return _2;
default:
throw new IndexOutOfRangeException();
}
}
set
{
switch (index)
{
case 0:
_0 = value;
break;
case 1:
_1 = value;
break;
case 2:
_2 = value;
break;
default:
throw new IndexOutOfRangeException();
}
}
}
#region IEnumerable<bool> Members
public IEnumerator<bool> GetEnumerator()
{
return Enumerate().GetEnumerator();
}
IEnumerator IEnumerable.GetEnumerator()
{
return GetEnumerator();
}
#endregion
public bool Contains(bool value)
{
for (int i = 0; i < 3; ++i) if (this[i] == value) return true;
return false;
}
public int IndexOf(bool value)
{
for (int i = 0; i < 3; ++i) if (this[i] == value) return i;
return -1;
}
public void Clear()
{
_0 = _1 = _2 = false;
}
public void Clear(bool value)
{
for (int i = 0; i < 3; ++i) if (this[i] == value) this[i] = false;
}
private IEnumerable<bool> Enumerate()
{
for (int i = 0; i < 3; ++i) yield return this[i];
}
}
}

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using System;
using System.Collections.Generic;
namespace Poly2Tri.Triangulation.Util
{
public class PointGenerator
{
private static readonly Random RNG = new Random();
public static List<TriangulationPoint> UniformDistribution(int n, double scale)
{
List<TriangulationPoint> points = new List<TriangulationPoint>();
for (int i = 0; i < n; i++)
{
points.Add(new TriangulationPoint(scale*(0.5 - RNG.NextDouble()), scale*(0.5 - RNG.NextDouble())));
}
return points;
}
public static List<TriangulationPoint> UniformGrid(int n, double scale)
{
double x = 0;
double size = scale/n;
double halfScale = 0.5*scale;
List<TriangulationPoint> points = new List<TriangulationPoint>();
for (int i = 0; i < n + 1; i++)
{
x = halfScale - i*size;
for (int j = 0; j < n + 1; j++)
{
points.Add(new TriangulationPoint(x, halfScale - j*size));
}
}
return points;
}
}
}

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/* 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.
*/
using System;
using Poly2Tri.Triangulation.Polygon;
namespace Poly2Tri.Triangulation.Util
{
public class PolygonGenerator
{
private static readonly Random RNG = new Random();
private static double PI_2 = 2.0*Math.PI;
public static Polygon.Polygon RandomCircleSweep(double scale, int vertexCount)
{
PolygonPoint point;
PolygonPoint[] points;
double radius = scale/4;
points = new PolygonPoint[vertexCount];
for (int i = 0; i < vertexCount; i++)
{
do
{
if (i%250 == 0)
{
radius += scale/2*(0.5 - RNG.NextDouble());
}
else if (i%50 == 0)
{
radius += scale/5*(0.5 - RNG.NextDouble());
}
else
{
radius += 25*scale/vertexCount*(0.5 - RNG.NextDouble());
}
radius = radius > scale/2 ? scale/2 : radius;
radius = radius < scale/10 ? scale/10 : radius;
} while (radius < scale/10 || radius > scale/2);
point = new PolygonPoint(radius*Math.Cos((PI_2*i)/vertexCount),
radius*Math.Sin((PI_2*i)/vertexCount));
points[i] = point;
}
return new Polygon.Polygon(points);
}
public static Polygon.Polygon RandomCircleSweep2(double scale, int vertexCount)
{
PolygonPoint point;
PolygonPoint[] points;
double radius = scale/4;
points = new PolygonPoint[vertexCount];
for (int i = 0; i < vertexCount; i++)
{
do
{
radius += scale/5*(0.5 - RNG.NextDouble());
radius = radius > scale/2 ? scale/2 : radius;
radius = radius < scale/10 ? scale/10 : radius;
} while (radius < scale/10 || radius > scale/2);
point = new PolygonPoint(radius*Math.Cos((PI_2*i)/vertexCount),
radius*Math.Sin((PI_2*i)/vertexCount));
points[i] = point;
}
return new Polygon.Polygon(points);
}
}
}