private static void MakeEnterExitList(CircularLinkedList <Vector2> subject,
CircularLinkedList <Vector2> clip,
Dictionary <Vector2, Pair <Vector2> > intersections,
CircularLinkedList <Vector2> entering,
CircularLinkedList <Vector2> exiting)
{
LinkedListNode <Vector2> curr = subject.First;
while (curr != subject.Last)
{
if (intersections.ContainsKey(curr.Value))
{
bool isEntering = Vector2Cross(curr.Next.Value.X - curr.Previous.Value.X,
curr.Next.Value.Y - curr.Previous.Value.Y,
intersections[curr.Value].Second.X - intersections[curr.Value].First.X,
intersections[curr.Value].Second.Y - intersections[curr.Value].First.Y) < 0;
if (isEntering)
{
entering.AddLast(curr.Value);
}
else
{
exiting.AddLast(curr.Value);
}
}
curr = curr.Next;
}
}
public CircularLinkedList <T> Reverse()
{
CircularLinkedList <T> temp = new CircularLinkedList <T>();
foreach (var current in this)
{
temp.AddFirst(current);
}
return(temp);
}
private static PointF[] GetTrianglePointArray(CircularLinkedList <Vector2> list)
{
LinkedListNode <Vector2> currentNode = list.First;
PointF[] result = new PointF[3];
for (int i = 0; i < 3; i++)
{
result[i] = new PointF(currentNode.Value.X, currentNode.Value.Y);
currentNode = list.NextOrFirst(currentNode);
}
return(result);
}
private static void Traverse(CircularLinkedList <Vector2> subject,
CircularLinkedList <Vector2> clip,
CircularLinkedList <Vector2> entering,
CircularLinkedList <Vector2> exiting,
List <CircularLinkedList <Vector2> > polygons,
Operation operation)
{
if (operation == Operation.Intersect)
{
Swap <CircularLinkedList <Vector2> >(ref entering, ref exiting);
}
if (operation == Operation.Difference)
{
clip = clip.Reverse();
}
CircularLinkedList <Vector2> currentList = subject;
CircularLinkedList <Vector2> otherList = clip;
while (entering.Count > 0)
{
CircularLinkedList <Vector2> polygon = new CircularLinkedList <Vector2>();
Vector2 start = entering.First.Value;
int count = 0;
LinkedListNode <Vector2> transitionNode = entering.First;
bool enteringCheck = true;
while (transitionNode != null && (count == 0 || (count > 0 && start != transitionNode.Value)))
{
transitionNode = TraverseList(currentList, entering, exiting, polygon, transitionNode, start, otherList);
enteringCheck = !enteringCheck;
if (currentList == subject)
{
currentList = clip;
otherList = subject;
}
else
{
currentList = subject;
otherList = clip;
}
count++;
}
polygons.Add(polygon);
}
}
private static LinkedListNode <Vector2> TraverseList(CircularLinkedList <Vector2> contour,
CircularLinkedList <Vector2> entering,
CircularLinkedList <Vector2> exiting,
CircularLinkedList <Vector2> polygon,
LinkedListNode <Vector2> currentNode,
Vector2 startNode,
CircularLinkedList <Vector2> contour2)
{
LinkedListNode <Vector2> contourNode = contour.Find(currentNode.Value);
if (contourNode == null)
{
return(null);
}
entering.Remove(currentNode.Value);
while (contourNode != null
&&
!entering.Contains(contourNode.Value)
&&
!exiting.Contains(contourNode.Value)
)
{
polygon.AddLast(contourNode.Value);
contourNode = contour.NextOrFirst(contourNode);
if (contourNode.Value == startNode)
{
return(null);
}
}
entering.Remove(contourNode.Value);
polygon.AddLast(contourNode.Value);
return(contour2.NextOrFirst(contour2.Find(contourNode.Value)));
}
/// <summary>
///
/// </summary>
/// <param name="subject">Первый контур.</param>
/// <param name="clip">Второй контур.</param>
/// <param name="operation">Операция, проводимая над контурами.</param>
/// <returns></returns>
public static ICollection <CircularLinkedList <Vector2> > Process(CircularLinkedList <Vector2> subject,
CircularLinkedList <Vector2> clip,
Operation operation)
{
LinkedListNode <Vector2> curSubject = subject.First;
Dictionary <Vector2, Pair <Vector2> > intersections = new Dictionary <Vector2, Pair <Vector2> >();
List <CircularLinkedList <Vector2> > polygons = new List <CircularLinkedList <Vector2> >();
if (AreEqual <Vector2>(subject, clip))
{
switch (operation)
{
case Operation.Union:
polygons.Add(subject);
return(polygons);
break;
case Operation.Intersect:
polygons.Add(subject);
return(polygons);
break;
case Operation.Difference:
// нужно как-то разграничивать внешние и внутренние полигоны
return(polygons);
break;
default:
break;
}
}
while (curSubject != subject.Last)
{
LinkedListNode <Vector2> curClip = clip.First;
while (curClip != clip.Last)
{
Vector2 intersectionPoint;
if (IntersectSegment(curSubject.Value,
curSubject.Next.Value,
curClip.Value,
curClip.Next.Value,
out intersectionPoint))
{
subject.AddAfter(curSubject, intersectionPoint);
clip.AddAfter(curClip, intersectionPoint);
intersections.Add(intersectionPoint, new Pair <Vector2>(curClip.Value, curClip.Next.Value));
}
curClip = curClip.Next;
}
curSubject = curSubject.Next;
}
CircularLinkedList <Vector2> entering = new CircularLinkedList <Vector2>();
CircularLinkedList <Vector2> exiting = new CircularLinkedList <Vector2>();
MakeEnterExitList(subject, clip, intersections, entering, exiting);
subject.RemoveLast();
clip.RemoveLast();
Traverse(subject, clip, entering, exiting, polygons, operation);
if (polygons.Count == 0)
{
switch (operation)
{
case Operation.Union:
polygons.Add(subject);
polygons.Add(clip);
break;
case Operation.Intersect:
break;
case Operation.Difference:
polygons.Add(subject);
break;
default:
break;
}
}
return(polygons);
}
static void Main(string[] args)
{
//Vector3 a = new Vector3(0, 1, 0);
//Vector3 b = new Vector3(1, 0, 0);
//Console.WriteLine(Vector3.Cross(a, b));
CircularLinkedList <Vector2> subject = new CircularLinkedList <Vector2>();
CircularLinkedList <Vector2> clip = new CircularLinkedList <Vector2>();
//#region Big and small square
//subject.AddLast(new Vector2(0, 0));
//subject.AddLast(new Vector2(0, 4));
//subject.AddLast(new Vector2(4, 4));
//subject.AddLast(new Vector2(4, 0));
//subject.AddLast(new Vector2(0, 0));
//clip.AddLast(new Vector2(4, 1));
//clip.AddLast(new Vector2(4, 3));
//clip.AddLast(new Vector2(6, 3));
//clip.AddLast(new Vector2(6, 1));
//clip.AddLast(new Vector2(4, 1));
//#endregion
//#region Shared edge
//subject.AddLast(new Vector2(0, 0));
//subject.AddLast(new Vector2(0, 1));
//subject.AddLast(new Vector2(1, 0));
//subject.AddLast(new Vector2(0, 0));
//clip.AddLast(new Vector2(0, 1));
//clip.AddLast(new Vector2(1, 1));
//clip.AddLast(new Vector2(1, 0));
//clip.AddLast(new Vector2(0, 1));
//#endregion
//#region Triangle and polygon
//subject.AddLast(new Vector2(-3, 1));
//subject.AddLast(new Vector2(2, 2));
//subject.AddLast(new Vector2(2, -3));
//subject.AddLast(new Vector2(-3, 1));
//clip.AddLast(new Vector2(1, -1));
//clip.AddLast(new Vector2(5, -1));
//clip.AddLast(new Vector2(2, -5));
//clip.AddLast(new Vector2(-6, 3));
//clip.AddLast(new Vector2(1, 1));
//clip.AddLast(new Vector2(3, 0));
//clip.AddLast(new Vector2(1, -1));
//#endregion
//#region Simple triangles
//subject.AddLast(new Vector2(-2, 0));
//subject.AddLast(new Vector2(1, 1));
//subject.AddLast(new Vector2(-1, -2));
//subject.AddLast(new Vector2(-2, 0));
//clip.AddLast(new Vector2(-1, -1));
//clip.AddLast(new Vector2(1, 0));
//clip.AddLast(new Vector2(1, -2));
//clip.AddLast(new Vector2(-1, -1));
//#endregion
//#region Two equal
//subject.AddLast(new Vector2(0, 0));
//subject.AddLast(new Vector2(0, 1));
//subject.AddLast(new Vector2(1, 0));
//subject.AddLast(new Vector2(0, 0));
//clip.AddLast(new Vector2(0, 0));
//clip.AddLast(new Vector2(0, 1));
//clip.AddLast(new Vector2(1, 0));
//clip.AddLast(new Vector2(0, 0));
//#endregion
//#region Two triangles 1
//subject.AddLast(new Vector2(-3, 0));
//subject.AddLast(new Vector2(0, 3));
//subject.AddLast(new Vector2(3, 0));
//subject.AddLast(new Vector2(-3, 0));
//clip.AddLast(new Vector2(-2, 1));
//clip.AddLast(new Vector2(2, 1));
//clip.AddLast(new Vector2(0, -1));
//clip.AddLast(new Vector2(-2, 1));
//#endregion
//#region Two triangles 2
//subject.AddLast(new Vector2(-3, 0));
//subject.AddLast(new Vector2(0, 3));
//subject.AddLast(new Vector2(3, 0));
//subject.AddLast(new Vector2(-3, 0));
//clip.AddLast(new Vector2(-2, 2));
//clip.AddLast(new Vector2(2, 2));
//clip.AddLast(new Vector2(0, 0));
//clip.AddLast(new Vector2(-2, 2));
//#endregion
#region Second touches 2 sides from inside and exit through third side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 1));
clip.AddLast(new Vector2(2, 1));
clip.AddLast(new Vector2(0, -1));
clip.AddLast(new Vector2(-2, 1));
Draw(subject, clip, "Second touches 2 sides from inside and exit through third side");
#endregion
#region Second touches 1 side from inside and exit through other sides
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 2));
clip.AddLast(new Vector2(2, 2));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-2, 2));
Draw(subject, clip, "Second touches 1 side from inside and exit through other sides");
#endregion
#region Second touches 1 side from inside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 1));
clip.AddLast(new Vector2(1, 1));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-1, 1));
Draw(subject, clip, "Second touches 1 side from inside");
#endregion
#region Second partially overlays 2 sides from same vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second partially overlays 2 sides from same vertex");
#endregion
#region Second partially overlays 1 side from vertex and totally overlays other side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(1, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second partially overlays 1 side from vertex and totally overlays other side");
#endregion
#region Second partially overlays 1 side and touches other side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 1));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(-1, 0));
clip.AddLast(new Vector2(-2, 1));
Draw(subject, clip, "Second partially overlays 1 side and touches other side");
#endregion
#region Second partially overlays 1 side and touches other vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(1, 0));
clip.AddLast(new Vector2(-1, 0));
Draw(subject, clip, "Second partially overlays 1 side and touches other vertex");
#endregion
#region Second partially overlays 1 side from inside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 1));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(-1, 1));
clip.AddLast(new Vector2(-2, 1));
Draw(subject, clip, "Second partially overlays 1 side from inside");
#endregion
#region Second touches every side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(1, 2));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-1, 2));
Draw(subject, clip, "Second touches every side");
#endregion
#region Second totally overlays 1 side from inside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 2));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second totally overlays 1 side from inside");
#endregion
#region Second touches 2 sides from inside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(1, 1));
clip.AddLast(new Vector2(-1, 0));
clip.AddLast(new Vector2(-1, 2));
Draw(subject, clip, "Second touches 2 sides from inside");
#endregion
#region Second totally overlays 1 side from outside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(0, -3));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second totally overlays 1 side from outside");
#endregion
#region Second partially overlays 1 side from vertex from outside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-1, -2));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second partially overlays 1 side from vertex from outside");
#endregion
#region Second partially overlays 1 side from outside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 0));
clip.AddLast(new Vector2(2, 0));
clip.AddLast(new Vector2(0, -2));
clip.AddLast(new Vector2(-2, 0));
Draw(subject, clip, "Second partially overlays 1 side from outside");
#endregion
#region Second touches 1 side from outside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, -2));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(1, -2));
clip.AddLast(new Vector2(-1, -2));
Draw(subject, clip, "Second touches 1 side from outside");
#endregion
#region Second completely inside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-4, 0));
subject.AddLast(new Vector2(0, 4));
subject.AddLast(new Vector2(4, 0));
subject.AddLast(new Vector2(-4, 0));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(1, 2));
clip.AddLast(new Vector2(0, 1));
clip.AddLast(new Vector2(-1, 2));
Draw(subject, clip, "Second completely inside");
#endregion
#region Second touches 1 side and exits from another side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 1));
clip.AddLast(new Vector2(-1, 3));
clip.AddLast(new Vector2(-1, 0));
clip.AddLast(new Vector2(-3, 1));
Draw(subject, clip, "Second touches 1 side and exits from another side");
#endregion
#region Second touches 2 sides and exits from another side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 2));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(-1, 0));
clip.AddLast(new Vector2(-3, 2));
Draw(subject, clip, "Second touches 2 sides and exits from another side");
#endregion
#region Second touches 1 side and intersects same side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 2));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(-1, 1));
clip.AddLast(new Vector2(-2, 2));
Draw(subject, clip, "Second touches 1 side and intersects same side");
#endregion
#region Second touches 1 vertex from outside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(4, 1));
clip.AddLast(new Vector2(4, -1));
clip.AddLast(new Vector2(3, 0));
Draw(subject, clip, "Second touches 1 vertex from outside");
#endregion
#region Second touches 1 vertex from inside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 1));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(1, 1));
clip.AddLast(new Vector2(-1, 1));
Draw(subject, clip, "Second touches 1 vertex from inside");
#endregion
#region Second partially overlays 1 side from vertex and exits from another vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 4));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second partially overlays 1 side from vertex and exits from another vertex");
#endregion
#region Second touches 1 vertex from inside and intersects other vertex of the same side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 4));
clip.AddLast(new Vector2(0, 2));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second touches 1 vertex from inside and intersects other vertex of the same side");
#endregion
#region Second touches 1 vertex from inside and intersects other vertex of the same side and intersects adjacent side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 4));
clip.AddLast(new Vector2(0, -1));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second touches 1 vertex from inside and intersects other vertex of the same side and intersects adjacent side");
#endregion
#region Second touches 1 vertex from outside and shares 1 vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 1));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(3, 3));
clip.AddLast(new Vector2(3, -1));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second touches 1 vertex from outside and shares 1 vertex");
#endregion
#region Second touches 1 vertex from inside and shares 1 vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 1));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-1, 1));
Draw(subject, clip, "Second touches 1 vertex from inside and shares 1 vertex");
#endregion
#region Triangles are equal
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Triangles are equal");
#endregion
#region Second has 2 shared vertices and intersects 1 side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 2));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second has 2 shared vertices and intersects 1 side");
#endregion
#region Second touches 2 sides and last vertex outside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 1));
clip.AddLast(new Vector2(0, 4));
clip.AddLast(new Vector2(2, 1));
clip.AddLast(new Vector2(-2, 1));
Draw(subject, clip, "Second touches 2 sides and last vertex outside");
#endregion
#region Second has 2 shared vertices and last vertex outside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 2));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second has 2 shared vertices and last vertex outside");
#endregion
#region Second has 2 shared vertices and 1 side of first partially overlays second side from vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(1, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second has 2 shared vertices and 1 side of first partially overlays second side from vertex");
#endregion
#region Second partially overlays one side with shared vertex and stays inside forever
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 2));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second partially overlays one side with shared vertex and stays inside forever");
#endregion
#region Second partially overlays one side with shared vertex and exits through side with shared vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 2));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second partially overlays one side with shared vertex and exits through side with shared vertex");
#endregion
#region Second partially overlays one side with shared vertex and exits through side without shared vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 4));
clip.AddLast(new Vector2(2, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second partially overlays one side with shared vertex and exits through side without shared vertex");
#endregion
#region Second partially overlays one side with shared vertex and touches opposite side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(1, 2));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second partially overlays one side with shared vertex and touches opposite side");
#endregion
#region Second has 1 shared vertex, second vertex touches opposite side and sides intersect
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 3));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-2, 3));
Draw(subject, clip, "Second has 1 shared vertex, second vertex touches opposite side and sides intersect");
#endregion
#region Second has 1 shared vertex, second vertex touches opposite side, third vertex outside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 1));
subject.AddLast(new Vector2(2, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 2));
clip.AddLast(new Vector2(1, 0.5f));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second has 1 shared vertex, second vertex touches opposite side, third vertex outside");
#endregion
#region Second has 1 shared vertex and opposite side intersects adjacent side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 2));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(-1, 1));
clip.AddLast(new Vector2(-2, 2));
Draw(subject, clip, "Second has 1 shared vertex and opposite side intersects adjacent side");
#endregion
#region Second has 1 shared vertex, opposite side intersects 2 sides, adjacent side intersects 1 side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 2));
clip.AddLast(new Vector2(2, 2));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second has 1 shared vertex, opposite side intersects 2 sides, adjacent side intersects 1 side");
#endregion
#region Second has 1 shared vertex and intersects both adjacent sides
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 2));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(2, 2));
clip.AddLast(new Vector2(-2, 2));
Draw(subject, clip, "Second has 1 shared vertex and intersects both adjacent sides");
#endregion
#region Second has 1 shared vertex and intersects adjacent side and opposite side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 2));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(2, -1));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second has 1 shared vertex and intersects adjacent side and opposite side");
#endregion
#region Second has 1 shared vertex and lays completely inside
subject.Clear();
clip.Clear();
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(-1, 1));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(1, 1));
subject.AddLast(new Vector2(-1, 1));
Draw(subject, clip, "Second has 1 shared vertex and lays completely inside");
#endregion
#region Second has 1 shared vertex and intersects opposite side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 1));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 3));
clip.AddLast(new Vector2(2, 1));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second has 1 shared vertex and intersects opposite side");
#endregion
#region Second has 1 shared vertex, second vertex lays on opposite side and adjacent side intersects opposite
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 2));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 0));
clip.AddLast(new Vector2(0, 2));
clip.AddLast(new Vector2(0, -1));
clip.AddLast(new Vector2(-1, 0));
Draw(subject, clip, "Second has 1 shared vertex, second vertex lays on opposite side and adjacent side intersects opposite");
#endregion
#region First partially overlays one side from inside
subject.Clear();
clip.Clear();
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(-2, 0));
subject.AddLast(new Vector2(0, 2));
subject.AddLast(new Vector2(2, 0));
subject.AddLast(new Vector2(-2, 0));
Draw(subject, clip, "First partially overlays one side from inside");
#endregion
#region First touches second from inside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-1, 1));
subject.AddLast(new Vector2(1, 1));
subject.AddLast(new Vector2(0, 0));
subject.AddLast(new Vector2(-1, 1));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(3, 0));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "First touches second from inside");
#endregion
#region Second has 1 shared vertex, opposite side touches one vertex and adjacent side intesects opposite side of the first
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 3));
clip.AddLast(new Vector2(1, 3));
clip.AddLast(new Vector2(-3, 0));
Draw(subject, clip, "Second has 1 shared vertex, opposite side touches one vertex and adjacent side intesects opposite side of the first");
#endregion
#region Second partially overlays one side and intersects adjacent side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-2, 1));
clip.AddLast(new Vector2(-1, 2));
clip.AddLast(new Vector2(0, -1));
clip.AddLast(new Vector2(-2, 1));
Draw(subject, clip, "Second partially overlays one side and intersects adjacent side");
#endregion
#region Second partially overlays one side and intersects other sides
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 2));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-1, 0));
clip.AddLast(new Vector2(0, 3));
clip.AddLast(new Vector2(1, 0));
clip.AddLast(new Vector2(-1, 0));
Draw(subject, clip, "Second partially overlays one side and intersects other sides");
#endregion
#region Second has 1 vertex on side and intersects adjacent side
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-2, 0));
subject.AddLast(new Vector2(0, 2));
subject.AddLast(new Vector2(2, 0));
subject.AddLast(new Vector2(-2, 0));
clip.AddLast(new Vector2(-1, 1));
clip.AddLast(new Vector2(-1, 3));
clip.AddLast(new Vector2(1, 2));
clip.AddLast(new Vector2(-1, 1));
Draw(subject, clip, "Second has 1 vertex on side and intersects adjacent side");
#endregion
#region Second has 1 vertex on side and intersects adjacent side containing 2 vertices inside
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-2, 0));
subject.AddLast(new Vector2(2, 1));
subject.AddLast(new Vector2(2, 0));
subject.AddLast(new Vector2(-2, 0));
clip.AddLast(new Vector2(0, 0.5f));
clip.AddLast(new Vector2(3, 2));
clip.AddLast(new Vector2(3, -1));
clip.AddLast(new Vector2(0, 0.5f));
Draw(subject, clip, "Second has 1 vertex on side and intersects adjacent side containing 2 vertices inside");
#endregion
#region Second has 1 vertex on side and touches opposite vertex
subject.Clear();
clip.Clear();
subject.AddLast(new Vector2(-3, 0));
subject.AddLast(new Vector2(0, 3));
subject.AddLast(new Vector2(3, 0));
subject.AddLast(new Vector2(-3, 0));
clip.AddLast(new Vector2(-3, 3));
clip.AddLast(new Vector2(3, 3));
clip.AddLast(new Vector2(0, 0));
clip.AddLast(new Vector2(-3, 3));
Draw(subject, clip, "Second has 1 vertex on side and touches opposite vertex");
#endregion
//ICollection<CircularLinkedList<Vector2>> polys = WeilerAtherton.Process(subject, clip, Operation.Difference);
#region Triangulaion
//int c = 1;
//foreach (CircularLinkedList<Vector2> poly in polys)
//{
// #region Old non-hole triangulate
// // Small test application demonstrating the usage of the triangulate
// // class.
// Console.WriteLine("Poly {0}", c++);
// // Create a pretty complicated little contour by pushing them onto
// // an stl vector.
// // allocate an STL vector to hold the answer.
// List<Vector2> result = new List<Vector2>();
// // Invoke the triangulator to triangulate this polygon.
// if (!Triangulate.Process(new List<Vector2>(poly), result))
// Console.WriteLine("Triangulate failed!");
// // print out the results.
// int tcount = result.Count / 3;
// for (int i = 0; i < tcount; i++)
// {
// Vector2 p1 = result[i * 3 + 0];
// Vector2 p2 = result[i * 3 + 1];
// Vector2 p3 = result[i * 3 + 2];
// Console.WriteLine("Triangle {0} => ({1};{2}) ({3};{4}) ({5};{6})\n", i + 1, p1.X, p1.Y, p2.X, p2.Y, p3.X, p3.Y);
// }
// #endregion
//}
#endregion
Console.WriteLine("Done");
Console.ReadKey();
}
private static void Draw(CircularLinkedList <Vector2> subject, CircularLinkedList <Vector2> clip, string imageName)
{
firstTriangle = GetTrianglePointArray(subject);
secondTriangle = GetTrianglePointArray(clip);
Plotter.Draw(firstTriangle, secondTriangle, imageName, true);
}