public static VNode ProcessCircleEvent(VCircleEvent e, VNode Root, VoronoiGraph VG, double ys, out VDataNode[] CircleCheckList)
{
VDataNode a,b,c;
VEdgeNode eu,eo;
b = e.NodeN;
a = VNode.LeftDataNode(b);
c = VNode.RightDataNode(b);
if(a==null || b.Parent==null || c==null || !a.DataPoint.Equals(e.NodeL.DataPoint) || !c.DataPoint.Equals(e.NodeR.DataPoint))
{
CircleCheckList = new VDataNode[]{};
return Root; // Abbruch da sich der Graph verändert hat
}
eu = (VEdgeNode)b.Parent;
CircleCheckList = new VDataNode[] {a,c};
//1. Create the new Vertex
Vector VNew = new Vector(e.Center[0],e.Center[1]);
// VNew[0] = Fortune.ParabolicCut(a.DataPoint[0],a.DataPoint[1],c.DataPoint[0],c.DataPoint[1],ys);
// VNew[1] = (ys + a.DataPoint[1])/2 - 1/(2*(ys-a.DataPoint[1]))*(VNew[0]-a.DataPoint[0])*(VNew[0]-a.DataPoint[0]);
VG.Vertizes.Add(VNew);
//2. Find out if a or c are in a distand part of the tree (the other is then b's sibling) and assign the new vertex
if(eu.Left==b) // c is sibling
{
eo = VNode.EdgeToRightDataNode(a);
// replace eu by eu's Right
eu.Parent.Replace(eu,eu.Right);
}
else // a is sibling
{
eo = VNode.EdgeToRightDataNode(b);
// replace eu by eu's Left
eu.Parent.Replace(eu,eu.Left);
}
eu.Edge.AddVertex(VNew);
// ///////////////////// uncertain
// if(eo==eu)
// return Root;
// /////////////////////
//complete & cleanup eo
eo.Edge.AddVertex(VNew);
//while(eo.Edge.VVertexB == Fortune.VVUnkown)
//{
// eo.Flipped = !eo.Flipped;
// eo.Edge.AddVertex(Fortune.VVInfinite);
//}
//if(eo.Flipped)
//{
// Vector T = eo.Edge.LeftData;
// eo.Edge.LeftData = eo.Edge.RightData;
// eo.Edge.RightData = T;
//}
//2. Replace eo by new Edge
VoronoiEdge VE = new VoronoiEdge();
VE.LeftData = a.DataPoint;
VE.RightData = c.DataPoint;
VE.AddVertex(VNew);
VG.Edges.Add(VE);
VEdgeNode VEN = new VEdgeNode(VE, false);
VEN.Left = eo.Left;
VEN.Right = eo.Right;
if(eo.Parent == null)
return VEN;
eo.Parent.Replace(eo,VEN);
return Root;
}
public static void CleanUpTree(VNode Root)
{
if(Root is VDataNode)
return;
VEdgeNode VE = Root as VEdgeNode;
while(VE.Edge.VVertexB == Fortune.VVUnkown)
{
VE.Edge.AddVertex(Fortune.VVInfinite);
// VE.Flipped = !VE.Flipped;
}
if(VE.Flipped)
{
Vector T = VE.Edge.LeftData;
VE.Edge.LeftData = VE.Edge.RightData;
VE.Edge.RightData = T;
}
VE.Edge.Done = true;
CleanUpTree(Root.Left);
CleanUpTree(Root.Right);
}
public static VDataNode FindDataNode(VNode Root, double ys, double x)
{
VNode C = Root;
do
{
if(C is VDataNode)
return (VDataNode)C;
if(((VEdgeNode)C).Cut(ys,x)<0)
C = C.Left;
else
C = C.Right;
}while(true);
}
/// <summary>
/// Will return the new root (unchanged except in start-up)
/// </summary>
public static VNode ProcessDataEvent(VDataEvent e, VNode Root, VoronoiGraph VG, double ys, out VDataNode[] CircleCheckList)
{
if(Root==null)
{
Root = new VDataNode(e.DataPoint);
CircleCheckList = new VDataNode[] {(VDataNode)Root};
return Root;
}
//1. Find the node to be replaced
VNode C = VNode.FindDataNode(Root, ys, e.DataPoint[0]);
//2. Create the subtree (ONE Edge, but two VEdgeNodes)
VoronoiEdge VE = new VoronoiEdge();
VE.LeftData = ((VDataNode)C).DataPoint;
VE.RightData = e.DataPoint;
VE.VVertexA = Fortune.VVUnkown;
VE.VVertexB = Fortune.VVUnkown;
VG.Edges.Add(VE);
VNode SubRoot;
if(Math.Abs(VE.LeftData[1]-VE.RightData[1])<1e-10)
{
if(VE.LeftData[0]<VE.RightData[0])
{
SubRoot = new VEdgeNode(VE,false);
SubRoot.Left = new VDataNode(VE.LeftData);
SubRoot.Right = new VDataNode(VE.RightData);
}
else
{
SubRoot = new VEdgeNode(VE,true);
SubRoot.Left = new VDataNode(VE.RightData);
SubRoot.Right = new VDataNode(VE.LeftData);
}
CircleCheckList = new VDataNode[] {(VDataNode)SubRoot.Left,(VDataNode)SubRoot.Right};
}
else
{
SubRoot = new VEdgeNode(VE,false);
SubRoot.Left = new VDataNode(VE.LeftData);
SubRoot.Right = new VEdgeNode(VE,true);
SubRoot.Right.Left = new VDataNode(VE.RightData);
SubRoot.Right.Right = new VDataNode(VE.LeftData);
CircleCheckList = new VDataNode[] {(VDataNode)SubRoot.Left,(VDataNode)SubRoot.Right.Left,(VDataNode)SubRoot.Right.Right};
}
//3. Apply subtree
if(C.Parent == null)
return SubRoot;
C.Parent.Replace(C,SubRoot);
return Root;
}
public static VDataNode FirstDataNode(VNode Root)
{
VNode C = Root;
while(C.Left!=null)
C = C.Left;
return (VDataNode)C;
}
public void Replace(VNode ChildOld, VNode ChildNew)
{
if(Left==ChildOld)
Left = ChildNew;
else if(Right==ChildOld)
Right = ChildNew;
else throw new Exception("Child not found!");
ChildOld.Parent = null;
}
public static VoronoiGraph ComputeVoronoiGraph(IEnumerable Datapoints)
{
BinaryPriorityQueue PQ = new BinaryPriorityQueue();
Hashtable CurrentCircles = new Hashtable();
VoronoiGraph VG = new VoronoiGraph();
VNode RootNode = null;
foreach (Vector V in Datapoints)
{
PQ.Push(new VDataEvent(V));
}
while (PQ.Count > 0)
{
VEvent VE = PQ.Pop() as VEvent;
VDataNode[] CircleCheckList;
if (VE is VDataEvent)
{
RootNode = VNode.ProcessDataEvent(VE as VDataEvent, RootNode, VG, VE.Y, out CircleCheckList);
}
else if (VE is VCircleEvent)
{
CurrentCircles.Remove(((VCircleEvent)VE).NodeN);
if (!((VCircleEvent)VE).Valid)
{
continue;
}
RootNode = VNode.ProcessCircleEvent(VE as VCircleEvent, RootNode, VG, VE.Y, out CircleCheckList);
}
else
{
throw new Exception("Got event of type " + VE.GetType().ToString() + "!");
}
foreach (VDataNode VD in CircleCheckList)
{
if (CurrentCircles.ContainsKey(VD))
{
((VCircleEvent)CurrentCircles[VD]).Valid = false;
CurrentCircles.Remove(VD);
}
VCircleEvent VCE = VNode.CircleCheckDataNode(VD, VE.Y);
if (VCE != null)
{
PQ.Push(VCE);
CurrentCircles[VD] = VCE;
}
}
if (VE is VDataEvent)
{
Vector DP = ((VDataEvent)VE).DataPoint;
foreach (VCircleEvent VCE in CurrentCircles.Values)
{
if (MathTools.Dist(DP[0], DP[1], VCE.Center[0], VCE.Center[1]) < VCE.Y - VCE.Center[1] && Math.Abs(MathTools.Dist(DP[0], DP[1], VCE.Center[0], VCE.Center[1]) - (VCE.Y - VCE.Center[1])) > 1e-10)
{
VCE.Valid = false;
}
}
}
}
VG.Regions = new Dictionary <Vector, VoronoiRegion>();
foreach (VoronoiEdge e in VG.Edges)
{
if (e.VVertexA == VVUnkown || e.VVertexB == VVUnkown)
{
continue;
}
for (int i = 0; i < 2; ++i)
{
VoronoiRegion r;
Vector key = i == 0 ? e.LeftData : e.RightData;
bool exist = VG.Regions.TryGetValue(key, out r);
if (exist)
{
}
else
{
r = new VoronoiRegion();
}
if (r.Coners.IndexOf(e.VVertexA) == -1)
{
r.Coners.Add(e.VVertexA);
}
if (r.Coners.IndexOf(e.VVertexB) == -1)
{
r.Coners.Add(e.VVertexB);
}
r.Edges.Add(e);
if (exist)
{
}
else
{
VG.Regions.Add(key, r);
}
}
}
return(VG);
}
public static VNode ProcessCircleEvent(VCircleEvent e, VNode Root, VoronoiGraph VG, double ys, out VDataNode[] CircleCheckList)
{
VDataNode a, b, c;
VEdgeNode eu, eo;
b = e.NodeN;
a = VNode.LeftDataNode(b);
c = VNode.RightDataNode(b);
if (a == null || b.Parent == null || c == null || !a.DataPoint.Equals(e.NodeL.DataPoint) || !c.DataPoint.Equals(e.NodeR.DataPoint))
{
CircleCheckList = new VDataNode[] {};
return(Root); // Abbruch da sich der Graph ver?dert hat
}
eu = (VEdgeNode)b.Parent;
CircleCheckList = new VDataNode[] { a, c };
//1. Create the new Vertex
Vector VNew = new Vector(e.Center[0], e.Center[1]);
// VNew[0] = Fortune.ParabolicCut(a.DataPoint[0],a.DataPoint[1],c.DataPoint[0],c.DataPoint[1],ys);
// VNew[1] = (ys + a.DataPoint[1])/2 - 1/(2*(ys-a.DataPoint[1]))*(VNew[0]-a.DataPoint[0])*(VNew[0]-a.DataPoint[0]);
VG.Vertizes.Add(VNew);
//2. Find out if a or c are in a distand part of the tree (the other is then b's sibling) and assign the new vertex
if (eu.Left == b) // c is sibling
{
eo = VNode.EdgeToRightDataNode(a);
// replace eu by eu's Right
eu.Parent.Replace(eu, eu.Right);
}
else // a is sibling
{
eo = VNode.EdgeToRightDataNode(b);
// replace eu by eu's Left
eu.Parent.Replace(eu, eu.Left);
}
eu.Edge.AddVertex(VNew);
// ///////////////////// uncertain
// if(eo==eu)
// return Root;
// /////////////////////
eo.Edge.AddVertex(VNew);
//2. Replace eo by new Edge
VoronoiEdge VE = new VoronoiEdge();
VE.LeftData = a.DataPoint;
VE.RightData = c.DataPoint;
VE.AddVertex(VNew);
VG.Edges.Add(VE);
VEdgeNode VEN = new VEdgeNode(VE, false);
VEN.Left = eo.Left;
VEN.Right = eo.Right;
if (eo.Parent == null)
{
return(VEN);
}
eo.Parent.Replace(eo, VEN);
return(Root);
}
public static VoronoiGraph ComputeVoronoiGraph(IEnumerable Datapoints)
{
BinaryPriorityQueue PQ = new BinaryPriorityQueue();
Hashtable CurrentCircles = new Hashtable();
VoronoiGraph VG = new VoronoiGraph();
VNode RootNode = null;
foreach (Vector V in Datapoints)
{
PQ.Push(new VDataEvent(V));
}
while (PQ.Count > 0)
{
VEvent VE = PQ.Pop() as VEvent;
VDataNode[] CircleCheckList;
if (VE is VDataEvent)
{
RootNode = VNode.ProcessDataEvent(VE as VDataEvent, RootNode, VG, VE.Y, out CircleCheckList);
}
else if (VE is VCircleEvent)
{
CurrentCircles.Remove(((VCircleEvent)VE).NodeN);
if (!((VCircleEvent)VE).Valid)
{
continue;
}
RootNode = VNode.ProcessCircleEvent(VE as VCircleEvent, RootNode, VG, VE.Y, out CircleCheckList);
}
else
{
throw new Exception("Got event of type " + VE.GetType().ToString() + "!");
}
foreach (VDataNode VD in CircleCheckList)
{
if (CurrentCircles.ContainsKey(VD))
{
((VCircleEvent)CurrentCircles[VD]).Valid = false;
CurrentCircles.Remove(VD);
}
VCircleEvent VCE = VNode.CircleCheckDataNode(VD, VE.Y);
if (VCE != null)
{
PQ.Push(VCE);
CurrentCircles[VD] = VCE;
}
}
if (VE is VDataEvent)
{
Vector DP = ((VDataEvent)VE).DataPoint;
foreach (VCircleEvent VCE in CurrentCircles.Values)
{
if (MathTools.Dist(DP[0], DP[1], VCE.Center[0], VCE.Center[1]) < VCE.Y - VCE.Center[1] && Math.Abs(MathTools.Dist(DP[0], DP[1], VCE.Center[0], VCE.Center[1]) - (VCE.Y - VCE.Center[1])) > 1e-10)
{
VCE.Valid = false;
}
}
}
}
VNode.CleanUpTree(RootNode);
foreach (VoronoiEdge VE in VG.Edges)
{
if (VE.Done)
{
continue;
}
if (VE.VVertexB == Fortune.VVUnkown)
{
VE.AddVertex(Fortune.VVInfinite);
if (Math.Abs(VE.LeftData[1] - VE.RightData[1]) < 1e-10 && VE.LeftData[0] < VE.RightData[0])
{
Vector T = VE.LeftData;
VE.LeftData = VE.RightData;
VE.RightData = T;
}
}
}
ArrayList MinuteEdges = new ArrayList();
foreach (VoronoiEdge VE in VG.Edges)
{
if (!VE.IsPartlyInfinite && VE.VVertexA.Equals(VE.VVertexB))
{
MinuteEdges.Add(VE);
// prevent rounding errors from expanding to holes
foreach (VoronoiEdge VE2 in VG.Edges)
{
if (VE2.VVertexA.Equals(VE.VVertexA))
{
VE2.VVertexA = VE.VVertexA;
}
if (VE2.VVertexB.Equals(VE.VVertexA))
{
VE2.VVertexB = VE.VVertexA;
}
}
}
}
foreach (VoronoiEdge VE in MinuteEdges)
{
VG.Edges.Remove(VE);
}
return(VG);
}