(61d00a474) v0.9.7.1
This commit is contained in:
@@ -1,8 +1,12 @@
|
||||
using System.Collections.Generic;
|
||||
/* Original source Farseer Physics Engine:
|
||||
* Copyright (c) 2014 Ian Qvist, http://farseerphysics.codeplex.com
|
||||
* Microsoft Permissive License (Ms-PL) v1.1
|
||||
*/
|
||||
|
||||
using System.Collections.Generic;
|
||||
using System.Diagnostics;
|
||||
using FarseerPhysics.Collision.Shapes;
|
||||
using FarseerPhysics.Dynamics;
|
||||
using FarseerPhysics.Factories;
|
||||
using Microsoft.Xna.Framework;
|
||||
|
||||
namespace FarseerPhysics.Common.PolygonManipulation
|
||||
@@ -191,7 +195,7 @@ namespace FarseerPhysics.Common.PolygonManipulation
|
||||
//Delete the original shape and create two new. Retain the properties of the body.
|
||||
if (first.CheckPolygon() == PolygonError.NoError)
|
||||
{
|
||||
Body firstFixture = BodyFactory.CreatePolygon(world, first, fixtures[i].Shape.Density, fixtures[i].Body.Position);
|
||||
Body firstFixture = world.CreatePolygon(first, fixtures[i].Shape.Density, fixtures[i].Body.Position);
|
||||
firstFixture.Rotation = fixtures[i].Body.Rotation;
|
||||
firstFixture.LinearVelocity = fixtures[i].Body.LinearVelocity;
|
||||
firstFixture.AngularVelocity = fixtures[i].Body.AngularVelocity;
|
||||
@@ -200,14 +204,14 @@ namespace FarseerPhysics.Common.PolygonManipulation
|
||||
|
||||
if (second.CheckPolygon() == PolygonError.NoError)
|
||||
{
|
||||
Body secondFixture = BodyFactory.CreatePolygon(world, second, fixtures[i].Shape.Density, fixtures[i].Body.Position);
|
||||
Body secondFixture = world.CreatePolygon(second, fixtures[i].Shape.Density, fixtures[i].Body.Position);
|
||||
secondFixture.Rotation = fixtures[i].Body.Rotation;
|
||||
secondFixture.LinearVelocity = fixtures[i].Body.LinearVelocity;
|
||||
secondFixture.AngularVelocity = fixtures[i].Body.AngularVelocity;
|
||||
secondFixture.BodyType = BodyType.Dynamic;
|
||||
}
|
||||
|
||||
world.RemoveBody(fixtures[i].Body);
|
||||
world.Remove(fixtures[i].Body);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
@@ -1,4 +1,9 @@
|
||||
/*
|
||||
/* Original source Farseer Physics Engine:
|
||||
* Copyright (c) 2014 Ian Qvist, http://farseerphysics.codeplex.com
|
||||
* Microsoft Permissive License (Ms-PL) v1.1
|
||||
*/
|
||||
|
||||
/*
|
||||
* C# Version Ported by Matt Bettcher and Ian Qvist 2009-2010
|
||||
*
|
||||
* Original C++ Version Copyright (c) 2007 Eric Jordan
|
||||
|
||||
@@ -1,4 +1,9 @@
|
||||
using System;
|
||||
/* Original source Farseer Physics Engine:
|
||||
* Copyright (c) 2014 Ian Qvist, http://farseerphysics.codeplex.com
|
||||
* Microsoft Permissive License (Ms-PL) v1.1
|
||||
*/
|
||||
|
||||
using System;
|
||||
using System.Collections.Generic;
|
||||
using System.Diagnostics;
|
||||
using Microsoft.Xna.Framework;
|
||||
|
||||
+466
-461
@@ -1,514 +1,519 @@
|
||||
using System;
|
||||
/* Original source Farseer Physics Engine:
|
||||
* Copyright (c) 2014 Ian Qvist, http://farseerphysics.codeplex.com
|
||||
* Microsoft Permissive License (Ms-PL) v1.1
|
||||
*/
|
||||
|
||||
using System;
|
||||
using System.Collections.Generic;
|
||||
using System.Diagnostics;
|
||||
using Microsoft.Xna.Framework;
|
||||
|
||||
namespace FarseerPhysics.Common.PolygonManipulation
|
||||
{
|
||||
internal enum PolyClipType
|
||||
{
|
||||
Intersect,
|
||||
Union,
|
||||
Difference
|
||||
}
|
||||
|
||||
public enum PolyClipError
|
||||
{
|
||||
None,
|
||||
DegeneratedOutput,
|
||||
NonSimpleInput,
|
||||
BrokenResult
|
||||
}
|
||||
|
||||
//Clipper contributed by Helge Backhaus
|
||||
|
||||
public static class YuPengClipper
|
||||
{
|
||||
private const float ClipperEpsilonSquared = 1.192092896e-07f;
|
||||
|
||||
public static List<Vertices> Union(Vertices polygon1, Vertices polygon2, out PolyClipError error)
|
||||
internal enum PolyClipType
|
||||
{
|
||||
return Execute(polygon1, polygon2, PolyClipType.Union, out error);
|
||||
Intersect,
|
||||
Union,
|
||||
Difference
|
||||
}
|
||||
|
||||
public static List<Vertices> Difference(Vertices polygon1, Vertices polygon2, out PolyClipError error)
|
||||
public enum PolyClipError
|
||||
{
|
||||
return Execute(polygon1, polygon2, PolyClipType.Difference, out error);
|
||||
None,
|
||||
DegeneratedOutput,
|
||||
NonSimpleInput,
|
||||
BrokenResult
|
||||
}
|
||||
|
||||
public static List<Vertices> Intersect(Vertices polygon1, Vertices polygon2, out PolyClipError error)
|
||||
//Clipper contributed by Helge Backhaus
|
||||
|
||||
public static class YuPengClipper
|
||||
{
|
||||
return Execute(polygon1, polygon2, PolyClipType.Intersect, out error);
|
||||
}
|
||||
private const float ClipperEpsilonSquared = 1.192092896e-07f;
|
||||
|
||||
/// <summary>
|
||||
/// Implements "A new algorithm for Boolean operations on general polygons"
|
||||
/// available here: http://liama.ia.ac.cn/wiki/_media/user:dong:dong_cg_05.pdf
|
||||
/// Merges two polygons, a subject and a clip with the specified operation. Polygons may not be
|
||||
/// self-intersecting.
|
||||
///
|
||||
/// Warning: May yield incorrect results or even crash if polygons contain collinear points.
|
||||
/// </summary>
|
||||
/// <param name="subject">The subject polygon.</param>
|
||||
/// <param name="clip">The clip polygon, which is added,
|
||||
/// substracted or intersected with the subject</param>
|
||||
/// <param name="clipType">The operation to be performed. Either
|
||||
/// Union, Difference or Intersection.</param>
|
||||
/// <param name="error">The error generated (if any)</param>
|
||||
/// <returns>A list of closed polygons, which make up the result of the clipping operation.
|
||||
/// Outer contours are ordered counter clockwise, holes are ordered clockwise.</returns>
|
||||
private static List<Vertices> Execute(Vertices subject, Vertices clip, PolyClipType clipType, out PolyClipError error)
|
||||
{
|
||||
Debug.Assert(subject.IsSimple() && clip.IsSimple(), "Non simple input!", "Input polygons must be simple (cannot intersect themselves).");
|
||||
|
||||
// Copy polygons
|
||||
Vertices slicedSubject;
|
||||
Vertices slicedClip;
|
||||
// Calculate the intersection and touch points between
|
||||
// subject and clip and add them to both
|
||||
CalculateIntersections(subject, clip, out slicedSubject, out slicedClip);
|
||||
|
||||
// Translate polygons into upper right quadrant
|
||||
// as the algorithm depends on it
|
||||
Vector2 lbSubject = subject.GetAABB().LowerBound;
|
||||
Vector2 lbClip = clip.GetAABB().LowerBound;
|
||||
Vector2 translate;
|
||||
Vector2.Min(ref lbSubject, ref lbClip, out translate);
|
||||
translate = Vector2.One - translate;
|
||||
if (translate != Vector2.Zero)
|
||||
{
|
||||
slicedSubject.Translate(ref translate);
|
||||
slicedClip.Translate(ref translate);
|
||||
}
|
||||
|
||||
// Enforce counterclockwise contours
|
||||
slicedSubject.ForceCounterClockWise();
|
||||
slicedClip.ForceCounterClockWise();
|
||||
|
||||
List<Edge> subjectSimplices;
|
||||
List<float> subjectCoeff;
|
||||
List<Edge> clipSimplices;
|
||||
List<float> clipCoeff;
|
||||
// Build simplical chains from the polygons and calculate the
|
||||
// the corresponding coefficients
|
||||
CalculateSimplicalChain(slicedSubject, out subjectCoeff, out subjectSimplices);
|
||||
CalculateSimplicalChain(slicedClip, out clipCoeff, out clipSimplices);
|
||||
|
||||
List<Edge> resultSimplices;
|
||||
|
||||
// Determine the characteristics function for all non-original edges
|
||||
// in subject and clip simplical chain and combine the edges contributing
|
||||
// to the result, depending on the clipType
|
||||
CalculateResultChain(subjectCoeff, subjectSimplices, clipCoeff, clipSimplices, clipType,
|
||||
out resultSimplices);
|
||||
|
||||
List<Vertices> result;
|
||||
// Convert result chain back to polygon(s)
|
||||
error = BuildPolygonsFromChain(resultSimplices, out result);
|
||||
|
||||
// Reverse the polygon translation from the beginning
|
||||
// and remove collinear points from output
|
||||
translate *= -1f;
|
||||
for (int i = 0; i < result.Count; ++i)
|
||||
{
|
||||
result[i].Translate(ref translate);
|
||||
SimplifyTools.CollinearSimplify(result[i]);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Calculates all intersections between two polygons.
|
||||
/// </summary>
|
||||
/// <param name="polygon1">The first polygon.</param>
|
||||
/// <param name="polygon2">The second polygon.</param>
|
||||
/// <param name="slicedPoly1">Returns the first polygon with added intersection points.</param>
|
||||
/// <param name="slicedPoly2">Returns the second polygon with added intersection points.</param>
|
||||
private static void CalculateIntersections(Vertices polygon1, Vertices polygon2,
|
||||
out Vertices slicedPoly1, out Vertices slicedPoly2)
|
||||
{
|
||||
slicedPoly1 = new Vertices(polygon1);
|
||||
slicedPoly2 = new Vertices(polygon2);
|
||||
|
||||
// Iterate through polygon1's edges
|
||||
for (int i = 0; i < polygon1.Count; i++)
|
||||
{
|
||||
// Get edge vertices
|
||||
Vector2 a = polygon1[i];
|
||||
Vector2 b = polygon1[polygon1.NextIndex(i)];
|
||||
|
||||
// Get intersections between this edge and polygon2
|
||||
for (int j = 0; j < polygon2.Count; j++)
|
||||
public static List<Vertices> Union(Vertices polygon1, Vertices polygon2, out PolyClipError error)
|
||||
{
|
||||
Vector2 c = polygon2[j];
|
||||
Vector2 d = polygon2[polygon2.NextIndex(j)];
|
||||
return Execute(polygon1, polygon2, PolyClipType.Union, out error);
|
||||
}
|
||||
|
||||
Vector2 intersectionPoint;
|
||||
// Check if the edges intersect
|
||||
if (LineTools.LineIntersect(a, b, c, d, out intersectionPoint))
|
||||
{
|
||||
// calculate alpha values for sorting multiple intersections points on a edge
|
||||
float alpha;
|
||||
// Insert intersection point into first polygon
|
||||
alpha = GetAlpha(a, b, intersectionPoint);
|
||||
if (alpha > 0f && alpha < 1f)
|
||||
public static List<Vertices> Difference(Vertices polygon1, Vertices polygon2, out PolyClipError error)
|
||||
{
|
||||
return Execute(polygon1, polygon2, PolyClipType.Difference, out error);
|
||||
}
|
||||
|
||||
public static List<Vertices> Intersect(Vertices polygon1, Vertices polygon2, out PolyClipError error)
|
||||
{
|
||||
return Execute(polygon1, polygon2, PolyClipType.Intersect, out error);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Implements "A new algorithm for Boolean operations on general polygons"
|
||||
/// available here: http://liama.ia.ac.cn/wiki/_media/user:dong:dong_cg_05.pdf
|
||||
/// Merges two polygons, a subject and a clip with the specified operation. Polygons may not be
|
||||
/// self-intersecting.
|
||||
///
|
||||
/// Warning: May yield incorrect results or even crash if polygons contain collinear points.
|
||||
/// </summary>
|
||||
/// <param name="subject">The subject polygon.</param>
|
||||
/// <param name="clip">The clip polygon, which is added,
|
||||
/// substracted or intersected with the subject</param>
|
||||
/// <param name="clipType">The operation to be performed. Either
|
||||
/// Union, Difference or Intersection.</param>
|
||||
/// <param name="error">The error generated (if any)</param>
|
||||
/// <returns>A list of closed polygons, which make up the result of the clipping operation.
|
||||
/// Outer contours are ordered counter clockwise, holes are ordered clockwise.</returns>
|
||||
private static List<Vertices> Execute(Vertices subject, Vertices clip, PolyClipType clipType, out PolyClipError error)
|
||||
{
|
||||
Debug.Assert(subject.IsSimple() && clip.IsSimple(), "Non simple input! Input polygons must be simple (cannot intersect themselves).");
|
||||
|
||||
// Copy polygons
|
||||
Vertices slicedSubject;
|
||||
Vertices slicedClip;
|
||||
// Calculate the intersection and touch points between
|
||||
// subject and clip and add them to both
|
||||
CalculateIntersections(subject, clip, out slicedSubject, out slicedClip);
|
||||
|
||||
// Translate polygons into upper right quadrant
|
||||
// as the algorithm depends on it
|
||||
Vector2 lbSubject = subject.GetAABB().LowerBound;
|
||||
Vector2 lbClip = clip.GetAABB().LowerBound;
|
||||
Vector2 translate;
|
||||
Vector2.Min(ref lbSubject, ref lbClip, out translate);
|
||||
translate = Vector2.One - translate;
|
||||
if (translate != Vector2.Zero)
|
||||
{
|
||||
int index = slicedPoly1.IndexOf(a) + 1;
|
||||
while (index < slicedPoly1.Count &&
|
||||
GetAlpha(a, b, slicedPoly1[index]) <= alpha)
|
||||
{
|
||||
++index;
|
||||
}
|
||||
slicedPoly1.Insert(index, intersectionPoint);
|
||||
slicedSubject.Translate(ref translate);
|
||||
slicedClip.Translate(ref translate);
|
||||
}
|
||||
// Insert intersection point into second polygon
|
||||
alpha = GetAlpha(c, d, intersectionPoint);
|
||||
if (alpha > 0f && alpha < 1f)
|
||||
|
||||
// Enforce counterclockwise contours
|
||||
slicedSubject.ForceCounterClockWise();
|
||||
slicedClip.ForceCounterClockWise();
|
||||
|
||||
List<Edge> subjectSimplices;
|
||||
List<float> subjectCoeff;
|
||||
List<Edge> clipSimplices;
|
||||
List<float> clipCoeff;
|
||||
// Build simplical chains from the polygons and calculate the
|
||||
// the corresponding coefficients
|
||||
CalculateSimplicalChain(slicedSubject, out subjectCoeff, out subjectSimplices);
|
||||
CalculateSimplicalChain(slicedClip, out clipCoeff, out clipSimplices);
|
||||
|
||||
List<Edge> resultSimplices;
|
||||
|
||||
// Determine the characteristics function for all non-original edges
|
||||
// in subject and clip simplical chain and combine the edges contributing
|
||||
// to the result, depending on the clipType
|
||||
CalculateResultChain(subjectCoeff, subjectSimplices, clipCoeff, clipSimplices, clipType,
|
||||
out resultSimplices);
|
||||
|
||||
List<Vertices> result;
|
||||
// Convert result chain back to polygon(s)
|
||||
error = BuildPolygonsFromChain(resultSimplices, out result);
|
||||
|
||||
// Reverse the polygon translation from the beginning
|
||||
// and remove collinear points from output
|
||||
translate *= -1f;
|
||||
for (int i = 0; i < result.Count; ++i)
|
||||
{
|
||||
int index = slicedPoly2.IndexOf(c) + 1;
|
||||
while (index < slicedPoly2.Count &&
|
||||
GetAlpha(c, d, slicedPoly2[index]) <= alpha)
|
||||
{
|
||||
++index;
|
||||
}
|
||||
slicedPoly2.Insert(index, intersectionPoint);
|
||||
result[i].Translate(ref translate);
|
||||
SimplifyTools.CollinearSimplify(result[i]);
|
||||
}
|
||||
}
|
||||
return result;
|
||||
}
|
||||
}
|
||||
// Check for very small edges
|
||||
for (int i = 0; i < slicedPoly1.Count; ++i)
|
||||
{
|
||||
int iNext = slicedPoly1.NextIndex(i);
|
||||
//If they are closer than the distance remove vertex
|
||||
if ((slicedPoly1[iNext] - slicedPoly1[i]).LengthSquared() <= ClipperEpsilonSquared)
|
||||
{
|
||||
slicedPoly1.RemoveAt(i);
|
||||
--i;
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < slicedPoly2.Count; ++i)
|
||||
{
|
||||
int iNext = slicedPoly2.NextIndex(i);
|
||||
//If they are closer than the distance remove vertex
|
||||
if ((slicedPoly2[iNext] - slicedPoly2[i]).LengthSquared() <= ClipperEpsilonSquared)
|
||||
{
|
||||
slicedPoly2.RemoveAt(i);
|
||||
--i;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Calculates the simplical chain corresponding to the input polygon.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>Execute()</c>.</remarks>
|
||||
private static void CalculateSimplicalChain(Vertices poly, out List<float> coeff,
|
||||
out List<Edge> simplicies)
|
||||
{
|
||||
simplicies = new List<Edge>();
|
||||
coeff = new List<float>();
|
||||
for (int i = 0; i < poly.Count; ++i)
|
||||
{
|
||||
simplicies.Add(new Edge(poly[i], poly[poly.NextIndex(i)]));
|
||||
coeff.Add(CalculateSimplexCoefficient(Vector2.Zero, poly[i], poly[poly.NextIndex(i)]));
|
||||
}
|
||||
}
|
||||
/// <summary>
|
||||
/// Calculates all intersections between two polygons.
|
||||
/// </summary>
|
||||
/// <param name="polygon1">The first polygon.</param>
|
||||
/// <param name="polygon2">The second polygon.</param>
|
||||
/// <param name="slicedPoly1">Returns the first polygon with added intersection points.</param>
|
||||
/// <param name="slicedPoly2">Returns the second polygon with added intersection points.</param>
|
||||
private static void CalculateIntersections(Vertices polygon1, Vertices polygon2,
|
||||
out Vertices slicedPoly1, out Vertices slicedPoly2)
|
||||
{
|
||||
slicedPoly1 = new Vertices(polygon1);
|
||||
slicedPoly2 = new Vertices(polygon2);
|
||||
|
||||
/// <summary>
|
||||
/// Calculates the characteristics function for all edges of
|
||||
/// the given simplical chains and builds the result chain.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>Execute()</c>.</remarks>
|
||||
private static void CalculateResultChain(List<float> poly1Coeff, List<Edge> poly1Simplicies,
|
||||
List<float> poly2Coeff, List<Edge> poly2Simplicies,
|
||||
PolyClipType clipType, out List<Edge> resultSimplices)
|
||||
{
|
||||
resultSimplices = new List<Edge>();
|
||||
|
||||
for (int i = 0; i < poly1Simplicies.Count; ++i)
|
||||
{
|
||||
float edgeCharacter = 0;
|
||||
if (poly2Simplicies.Contains(poly1Simplicies[i]))
|
||||
{
|
||||
edgeCharacter = 1f;
|
||||
}
|
||||
else if (poly2Simplicies.Contains(-poly1Simplicies[i]) && clipType == PolyClipType.Union)
|
||||
{
|
||||
edgeCharacter = 1f;
|
||||
}
|
||||
else
|
||||
{
|
||||
for (int j = 0; j < poly2Simplicies.Count; ++j)
|
||||
{
|
||||
if (!poly2Simplicies.Contains(-poly1Simplicies[i]))
|
||||
// Iterate through polygon1's edges
|
||||
for (int i = 0; i < polygon1.Count; i++)
|
||||
{
|
||||
edgeCharacter += CalculateBeta(poly1Simplicies[i].GetCenter(),
|
||||
poly2Simplicies[j], poly2Coeff[j]);
|
||||
// Get edge vertices
|
||||
Vector2 a = polygon1[i];
|
||||
Vector2 b = polygon1[polygon1.NextIndex(i)];
|
||||
|
||||
// Get intersections between this edge and polygon2
|
||||
for (int j = 0; j < polygon2.Count; j++)
|
||||
{
|
||||
Vector2 c = polygon2[j];
|
||||
Vector2 d = polygon2[polygon2.NextIndex(j)];
|
||||
|
||||
Vector2 intersectionPoint;
|
||||
// Check if the edges intersect
|
||||
if (LineTools.LineIntersect(a, b, c, d, out intersectionPoint))
|
||||
{
|
||||
// calculate alpha values for sorting multiple intersections points on a edge
|
||||
float alpha;
|
||||
// Insert intersection point into first polygon
|
||||
alpha = GetAlpha(a, b, intersectionPoint);
|
||||
if (alpha > 0f && alpha < 1f)
|
||||
{
|
||||
int index = slicedPoly1.IndexOf(a) + 1;
|
||||
while (index < slicedPoly1.Count &&
|
||||
GetAlpha(a, b, slicedPoly1[index]) <= alpha)
|
||||
{
|
||||
++index;
|
||||
}
|
||||
slicedPoly1.Insert(index, intersectionPoint);
|
||||
}
|
||||
// Insert intersection point into second polygon
|
||||
alpha = GetAlpha(c, d, intersectionPoint);
|
||||
if (alpha > 0f && alpha < 1f)
|
||||
{
|
||||
int index = slicedPoly2.IndexOf(c) + 1;
|
||||
while (index < slicedPoly2.Count &&
|
||||
GetAlpha(c, d, slicedPoly2[index]) <= alpha)
|
||||
{
|
||||
++index;
|
||||
}
|
||||
slicedPoly2.Insert(index, intersectionPoint);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
// Check for very small edges
|
||||
for (int i = 0; i < slicedPoly1.Count; ++i)
|
||||
{
|
||||
int iNext = slicedPoly1.NextIndex(i);
|
||||
//If they are closer than the distance remove vertex
|
||||
if ((slicedPoly1[iNext] - slicedPoly1[i]).LengthSquared() <= ClipperEpsilonSquared)
|
||||
{
|
||||
slicedPoly1.RemoveAt(i);
|
||||
--i;
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < slicedPoly2.Count; ++i)
|
||||
{
|
||||
int iNext = slicedPoly2.NextIndex(i);
|
||||
//If they are closer than the distance remove vertex
|
||||
if ((slicedPoly2[iNext] - slicedPoly2[i]).LengthSquared() <= ClipperEpsilonSquared)
|
||||
{
|
||||
slicedPoly2.RemoveAt(i);
|
||||
--i;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
if (clipType == PolyClipType.Intersect)
|
||||
|
||||
/// <summary>
|
||||
/// Calculates the simplical chain corresponding to the input polygon.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>Execute()</c>.</remarks>
|
||||
private static void CalculateSimplicalChain(Vertices poly, out List<float> coeff,
|
||||
out List<Edge> simplicies)
|
||||
{
|
||||
if (edgeCharacter == 1f)
|
||||
{
|
||||
resultSimplices.Add(poly1Simplicies[i]);
|
||||
}
|
||||
simplicies = new List<Edge>();
|
||||
coeff = new List<float>();
|
||||
for (int i = 0; i < poly.Count; ++i)
|
||||
{
|
||||
simplicies.Add(new Edge(poly[i], poly[poly.NextIndex(i)]));
|
||||
coeff.Add(CalculateSimplexCoefficient(Vector2.Zero, poly[i], poly[poly.NextIndex(i)]));
|
||||
}
|
||||
}
|
||||
else
|
||||
|
||||
/// <summary>
|
||||
/// Calculates the characteristics function for all edges of
|
||||
/// the given simplical chains and builds the result chain.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>Execute()</c>.</remarks>
|
||||
private static void CalculateResultChain(List<float> poly1Coeff, List<Edge> poly1Simplicies,
|
||||
List<float> poly2Coeff, List<Edge> poly2Simplicies,
|
||||
PolyClipType clipType, out List<Edge> resultSimplices)
|
||||
{
|
||||
if (edgeCharacter == 0f)
|
||||
{
|
||||
resultSimplices.Add(poly1Simplicies[i]);
|
||||
}
|
||||
resultSimplices = new List<Edge>();
|
||||
|
||||
for (int i = 0; i < poly1Simplicies.Count; ++i)
|
||||
{
|
||||
float edgeCharacter = 0;
|
||||
if (poly2Simplicies.Contains(poly1Simplicies[i]))
|
||||
{
|
||||
edgeCharacter = 1f;
|
||||
}
|
||||
else if (poly2Simplicies.Contains(-poly1Simplicies[i]) && clipType == PolyClipType.Union)
|
||||
{
|
||||
edgeCharacter = 1f;
|
||||
}
|
||||
else
|
||||
{
|
||||
for (int j = 0; j < poly2Simplicies.Count; ++j)
|
||||
{
|
||||
if (!poly2Simplicies.Contains(-poly1Simplicies[i]))
|
||||
{
|
||||
edgeCharacter += CalculateBeta(poly1Simplicies[i].GetCenter(),
|
||||
poly2Simplicies[j], poly2Coeff[j]);
|
||||
}
|
||||
}
|
||||
}
|
||||
if (clipType == PolyClipType.Intersect)
|
||||
{
|
||||
if (edgeCharacter == 1f)
|
||||
{
|
||||
resultSimplices.Add(poly1Simplicies[i]);
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
if (edgeCharacter == 0f)
|
||||
{
|
||||
resultSimplices.Add(poly1Simplicies[i]);
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < poly2Simplicies.Count; ++i)
|
||||
{
|
||||
float edgeCharacter = 0f;
|
||||
if (!resultSimplices.Contains(poly2Simplicies[i]) &&
|
||||
!resultSimplices.Contains(-poly2Simplicies[i]))
|
||||
{
|
||||
if (poly1Simplicies.Contains(-poly2Simplicies[i]) && clipType == PolyClipType.Union)
|
||||
{
|
||||
edgeCharacter = 1f;
|
||||
}
|
||||
else
|
||||
{
|
||||
edgeCharacter = 0f;
|
||||
for (int j = 0; j < poly1Simplicies.Count; ++j)
|
||||
{
|
||||
if (!poly1Simplicies.Contains(poly2Simplicies[i]) && !poly1Simplicies.Contains(-poly2Simplicies[i]))
|
||||
{
|
||||
edgeCharacter += CalculateBeta(poly2Simplicies[i].GetCenter(),
|
||||
poly1Simplicies[j], poly1Coeff[j]);
|
||||
}
|
||||
}
|
||||
if (clipType == PolyClipType.Intersect || clipType == PolyClipType.Difference)
|
||||
{
|
||||
if (edgeCharacter == 1f)
|
||||
{
|
||||
resultSimplices.Add(-poly2Simplicies[i]);
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
if (edgeCharacter == 0f)
|
||||
{
|
||||
resultSimplices.Add(poly2Simplicies[i]);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 0; i < poly2Simplicies.Count; ++i)
|
||||
{
|
||||
float edgeCharacter = 0f;
|
||||
if (!resultSimplices.Contains(poly2Simplicies[i]) &&
|
||||
!resultSimplices.Contains(-poly2Simplicies[i]))
|
||||
|
||||
/// <summary>
|
||||
/// Calculates the polygon(s) from the result simplical chain.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>Execute()</c>.</remarks>
|
||||
private static PolyClipError BuildPolygonsFromChain(List<Edge> simplicies, out List<Vertices> result)
|
||||
{
|
||||
if (poly1Simplicies.Contains(-poly2Simplicies[i]) && clipType == PolyClipType.Union)
|
||||
{
|
||||
edgeCharacter = 1f;
|
||||
}
|
||||
else
|
||||
{
|
||||
edgeCharacter = 0f;
|
||||
for (int j = 0; j < poly1Simplicies.Count; ++j)
|
||||
result = new List<Vertices>();
|
||||
PolyClipError errVal = PolyClipError.None;
|
||||
|
||||
while (simplicies.Count > 0)
|
||||
{
|
||||
if (!poly1Simplicies.Contains(poly2Simplicies[i]) && !poly1Simplicies.Contains(-poly2Simplicies[i]))
|
||||
{
|
||||
edgeCharacter += CalculateBeta(poly2Simplicies[i].GetCenter(),
|
||||
poly1Simplicies[j], poly1Coeff[j]);
|
||||
}
|
||||
Vertices output = new Vertices();
|
||||
output.Add(simplicies[0].EdgeStart);
|
||||
output.Add(simplicies[0].EdgeEnd);
|
||||
simplicies.RemoveAt(0);
|
||||
bool closed = false;
|
||||
int index = 0;
|
||||
int count = simplicies.Count; // Needed to catch infinite loops
|
||||
while (!closed && simplicies.Count > 0)
|
||||
{
|
||||
if (VectorEqual(output[output.Count - 1], simplicies[index].EdgeStart))
|
||||
{
|
||||
if (VectorEqual(simplicies[index].EdgeEnd, output[0]))
|
||||
{
|
||||
closed = true;
|
||||
}
|
||||
else
|
||||
{
|
||||
output.Add(simplicies[index].EdgeEnd);
|
||||
}
|
||||
simplicies.RemoveAt(index);
|
||||
--index;
|
||||
}
|
||||
else if (VectorEqual(output[output.Count - 1], simplicies[index].EdgeEnd))
|
||||
{
|
||||
if (VectorEqual(simplicies[index].EdgeStart, output[0]))
|
||||
{
|
||||
closed = true;
|
||||
}
|
||||
else
|
||||
{
|
||||
output.Add(simplicies[index].EdgeStart);
|
||||
}
|
||||
simplicies.RemoveAt(index);
|
||||
--index;
|
||||
}
|
||||
if (!closed)
|
||||
{
|
||||
if (++index == simplicies.Count)
|
||||
{
|
||||
if (count == simplicies.Count)
|
||||
{
|
||||
result = new List<Vertices>();
|
||||
Debug.WriteLine("Undefined error while building result polygon(s).");
|
||||
return PolyClipError.BrokenResult;
|
||||
}
|
||||
index = 0;
|
||||
count = simplicies.Count;
|
||||
}
|
||||
}
|
||||
}
|
||||
if (output.Count < 3)
|
||||
{
|
||||
errVal = PolyClipError.DegeneratedOutput;
|
||||
Debug.WriteLine("Degenerated output polygon produced (vertices < 3).");
|
||||
}
|
||||
result.Add(output);
|
||||
}
|
||||
if (clipType == PolyClipType.Intersect || clipType == PolyClipType.Difference)
|
||||
{
|
||||
if (edgeCharacter == 1f)
|
||||
{
|
||||
resultSimplices.Add(-poly2Simplicies[i]);
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
if (edgeCharacter == 0f)
|
||||
{
|
||||
resultSimplices.Add(poly2Simplicies[i]);
|
||||
}
|
||||
}
|
||||
}
|
||||
return errVal;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Calculates the polygon(s) from the result simplical chain.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>Execute()</c>.</remarks>
|
||||
private static PolyClipError BuildPolygonsFromChain(List<Edge> simplicies, out List<Vertices> result)
|
||||
{
|
||||
result = new List<Vertices>();
|
||||
PolyClipError errVal = PolyClipError.None;
|
||||
|
||||
while (simplicies.Count > 0)
|
||||
{
|
||||
Vertices output = new Vertices();
|
||||
output.Add(simplicies[0].EdgeStart);
|
||||
output.Add(simplicies[0].EdgeEnd);
|
||||
simplicies.RemoveAt(0);
|
||||
bool closed = false;
|
||||
int index = 0;
|
||||
int count = simplicies.Count; // Needed to catch infinite loops
|
||||
while (!closed && simplicies.Count > 0)
|
||||
/// <summary>
|
||||
/// Needed to calculate the characteristics function of a simplex.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>CalculateEdgeCharacter()</c>.</remarks>
|
||||
private static float CalculateBeta(Vector2 point, Edge e, float coefficient)
|
||||
{
|
||||
if (VectorEqual(output[output.Count - 1], simplicies[index].EdgeStart))
|
||||
{
|
||||
if (VectorEqual(simplicies[index].EdgeEnd, output[0]))
|
||||
float result = 0f;
|
||||
if (PointInSimplex(point, e))
|
||||
{
|
||||
closed = true;
|
||||
result = coefficient;
|
||||
}
|
||||
else
|
||||
if (PointOnLineSegment(Vector2.Zero, e.EdgeStart, point) ||
|
||||
PointOnLineSegment(Vector2.Zero, e.EdgeEnd, point))
|
||||
{
|
||||
output.Add(simplicies[index].EdgeEnd);
|
||||
result = .5f * coefficient;
|
||||
}
|
||||
simplicies.RemoveAt(index);
|
||||
--index;
|
||||
}
|
||||
else if (VectorEqual(output[output.Count - 1], simplicies[index].EdgeEnd))
|
||||
{
|
||||
if (VectorEqual(simplicies[index].EdgeStart, output[0]))
|
||||
{
|
||||
closed = true;
|
||||
}
|
||||
else
|
||||
{
|
||||
output.Add(simplicies[index].EdgeStart);
|
||||
}
|
||||
simplicies.RemoveAt(index);
|
||||
--index;
|
||||
}
|
||||
if (!closed)
|
||||
{
|
||||
if (++index == simplicies.Count)
|
||||
{
|
||||
if (count == simplicies.Count)
|
||||
{
|
||||
result = new List<Vertices>();
|
||||
Debug.WriteLine("Undefined error while building result polygon(s).");
|
||||
return PolyClipError.BrokenResult;
|
||||
}
|
||||
index = 0;
|
||||
count = simplicies.Count;
|
||||
}
|
||||
}
|
||||
return result;
|
||||
}
|
||||
if (output.Count < 3)
|
||||
|
||||
/// <summary>
|
||||
/// Needed for sorting multiple intersections points on the same edge.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>CalculateIntersections()</c>.</remarks>
|
||||
private static float GetAlpha(Vector2 start, Vector2 end, Vector2 point)
|
||||
{
|
||||
errVal = PolyClipError.DegeneratedOutput;
|
||||
Debug.WriteLine("Degenerated output polygon produced (vertices < 3).");
|
||||
return (point - start).LengthSquared() / (end - start).LengthSquared();
|
||||
}
|
||||
result.Add(output);
|
||||
}
|
||||
return errVal;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Needed to calculate the characteristics function of a simplex.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>CalculateEdgeCharacter()</c>.</remarks>
|
||||
private static float CalculateBeta(Vector2 point, Edge e, float coefficient)
|
||||
{
|
||||
float result = 0f;
|
||||
if (PointInSimplex(point, e))
|
||||
{
|
||||
result = coefficient;
|
||||
}
|
||||
if (PointOnLineSegment(Vector2.Zero, e.EdgeStart, point) ||
|
||||
PointOnLineSegment(Vector2.Zero, e.EdgeEnd, point))
|
||||
{
|
||||
result = .5f * coefficient;
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Needed for sorting multiple intersections points on the same edge.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>CalculateIntersections()</c>.</remarks>
|
||||
private static float GetAlpha(Vector2 start, Vector2 end, Vector2 point)
|
||||
{
|
||||
return (point - start).LengthSquared() / (end - start).LengthSquared();
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Returns the coefficient of a simplex.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>CalculateSimplicalChain()</c>.</remarks>
|
||||
private static float CalculateSimplexCoefficient(Vector2 a, Vector2 b, Vector2 c)
|
||||
{
|
||||
float isLeft = MathUtils.Area(ref a, ref b, ref c);
|
||||
if (isLeft < 0f)
|
||||
{
|
||||
return -1f;
|
||||
}
|
||||
|
||||
if (isLeft > 0f)
|
||||
{
|
||||
return 1f;
|
||||
}
|
||||
|
||||
return 0f;
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Winding number test for a point in a simplex.
|
||||
/// </summary>
|
||||
/// <param name="point">The point to be tested.</param>
|
||||
/// <param name="edge">The edge that the point is tested against.</param>
|
||||
/// <returns>False if the winding number is even and the point is outside
|
||||
/// the simplex and True otherwise.</returns>
|
||||
private static bool PointInSimplex(Vector2 point, Edge edge)
|
||||
{
|
||||
Vertices polygon = new Vertices();
|
||||
polygon.Add(Vector2.Zero);
|
||||
polygon.Add(edge.EdgeStart);
|
||||
polygon.Add(edge.EdgeEnd);
|
||||
return (polygon.PointInPolygon(ref point) == 1);
|
||||
}
|
||||
|
||||
/// <summary>
|
||||
/// Tests if a point lies on a line segment.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>CalculateBeta()</c>.</remarks>
|
||||
private static bool PointOnLineSegment(Vector2 start, Vector2 end, Vector2 point)
|
||||
{
|
||||
Vector2 segment = end - start;
|
||||
return MathUtils.Area(ref start, ref end, ref point) == 0f &&
|
||||
Vector2.Dot(point - start, segment) >= 0f &&
|
||||
Vector2.Dot(point - end, segment) <= 0f;
|
||||
}
|
||||
|
||||
private static bool VectorEqual(Vector2 vec1, Vector2 vec2)
|
||||
{
|
||||
return (vec2 - vec1).LengthSquared() <= ClipperEpsilonSquared;
|
||||
}
|
||||
|
||||
#region Nested type: Edge
|
||||
|
||||
/// <summary>Specifies an Edge. Edges are used to represent simplicies in simplical chains</summary>
|
||||
private sealed class Edge
|
||||
{
|
||||
public Edge(Vector2 edgeStart, Vector2 edgeEnd)
|
||||
{
|
||||
EdgeStart = edgeStart;
|
||||
EdgeEnd = edgeEnd;
|
||||
}
|
||||
|
||||
public Vector2 EdgeStart { get; private set; }
|
||||
public Vector2 EdgeEnd { get; private set; }
|
||||
|
||||
public Vector2 GetCenter()
|
||||
{
|
||||
return (EdgeStart + EdgeEnd) / 2f;
|
||||
}
|
||||
|
||||
public static Edge operator -(Edge e)
|
||||
{
|
||||
return new Edge(e.EdgeEnd, e.EdgeStart);
|
||||
}
|
||||
|
||||
public override bool Equals(Object obj)
|
||||
{
|
||||
// If parameter is null return false.
|
||||
if (obj == null)
|
||||
/// <summary>
|
||||
/// Returns the coefficient of a simplex.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>CalculateSimplicalChain()</c>.</remarks>
|
||||
private static float CalculateSimplexCoefficient(Vector2 a, Vector2 b, Vector2 c)
|
||||
{
|
||||
return false;
|
||||
float isLeft = MathUtils.Area(ref a, ref b, ref c);
|
||||
if (isLeft < 0f)
|
||||
{
|
||||
return -1f;
|
||||
}
|
||||
|
||||
if (isLeft > 0f)
|
||||
{
|
||||
return 1f;
|
||||
}
|
||||
|
||||
return 0f;
|
||||
}
|
||||
|
||||
// If parameter cannot be cast to Point return false.
|
||||
return Equals(obj as Edge);
|
||||
}
|
||||
|
||||
public bool Equals(Edge e)
|
||||
{
|
||||
// If parameter is null return false:
|
||||
if (e == null)
|
||||
/// <summary>
|
||||
/// Winding number test for a point in a simplex.
|
||||
/// </summary>
|
||||
/// <param name="point">The point to be tested.</param>
|
||||
/// <param name="edge">The edge that the point is tested against.</param>
|
||||
/// <returns>False if the winding number is even and the point is outside
|
||||
/// the simplex and True otherwise.</returns>
|
||||
private static bool PointInSimplex(Vector2 point, Edge edge)
|
||||
{
|
||||
return false;
|
||||
Vertices polygon = new Vertices();
|
||||
polygon.Add(Vector2.Zero);
|
||||
polygon.Add(edge.EdgeStart);
|
||||
polygon.Add(edge.EdgeEnd);
|
||||
return (polygon.PointInPolygon(ref point) == 1);
|
||||
}
|
||||
|
||||
// Return true if the fields match
|
||||
return VectorEqual(EdgeStart, e.EdgeStart) && VectorEqual(EdgeEnd, e.EdgeEnd);
|
||||
}
|
||||
/// <summary>
|
||||
/// Tests if a point lies on a line segment.
|
||||
/// </summary>
|
||||
/// <remarks>Used by method <c>CalculateBeta()</c>.</remarks>
|
||||
private static bool PointOnLineSegment(Vector2 start, Vector2 end, Vector2 point)
|
||||
{
|
||||
Vector2 segment = end - start;
|
||||
return MathUtils.Area(ref start, ref end, ref point) == 0f &&
|
||||
Vector2.Dot(point - start, segment) >= 0f &&
|
||||
Vector2.Dot(point - end, segment) <= 0f;
|
||||
}
|
||||
|
||||
public override int GetHashCode()
|
||||
{
|
||||
return EdgeStart.GetHashCode() ^ EdgeEnd.GetHashCode();
|
||||
}
|
||||
private static bool VectorEqual(Vector2 vec1, Vector2 vec2)
|
||||
{
|
||||
return (vec2 - vec1).LengthSquared() <= ClipperEpsilonSquared;
|
||||
}
|
||||
|
||||
#region Nested type: Edge
|
||||
|
||||
/// <summary>Specifies an Edge. Edges are used to represent simplicies in simplical chains</summary>
|
||||
private sealed class Edge
|
||||
{
|
||||
public Edge(Vector2 edgeStart, Vector2 edgeEnd)
|
||||
{
|
||||
EdgeStart = edgeStart;
|
||||
EdgeEnd = edgeEnd;
|
||||
}
|
||||
|
||||
public Vector2 EdgeStart { get; private set; }
|
||||
public Vector2 EdgeEnd { get; private set; }
|
||||
|
||||
public Vector2 GetCenter()
|
||||
{
|
||||
return (EdgeStart + EdgeEnd) / 2f;
|
||||
}
|
||||
|
||||
public static Edge operator -(Edge e)
|
||||
{
|
||||
return new Edge(e.EdgeEnd, e.EdgeStart);
|
||||
}
|
||||
|
||||
public override bool Equals(Object obj)
|
||||
{
|
||||
// If parameter is null return false.
|
||||
if (obj == null)
|
||||
{
|
||||
return false;
|
||||
}
|
||||
|
||||
// If parameter cannot be cast to Point return false.
|
||||
return Equals(obj as Edge);
|
||||
}
|
||||
|
||||
public bool Equals(Edge e)
|
||||
{
|
||||
// If parameter is null return false:
|
||||
if (e == null)
|
||||
{
|
||||
return false;
|
||||
}
|
||||
|
||||
// Return true if the fields match
|
||||
return VectorEqual(EdgeStart, e.EdgeStart) && VectorEqual(EdgeEnd, e.EdgeEnd);
|
||||
}
|
||||
|
||||
public override int GetHashCode()
|
||||
{
|
||||
return EdgeStart.GetHashCode() ^ EdgeEnd.GetHashCode();
|
||||
}
|
||||
}
|
||||
|
||||
#endregion
|
||||
}
|
||||
|
||||
#endregion
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user