/// <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 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;
}
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 VoronoiGraph FilterVG(VoronoiGraph VG, double minLeftRightDist)
{
VoronoiGraph VGErg = new VoronoiGraph();
foreach (VoronoiEdge VE in VG.Edges)
{
if (Math.Sqrt(Vector.Dist(VE.LeftData, VE.RightData)) >= minLeftRightDist)
VGErg.Edges.Add(VE);
}
foreach (VoronoiEdge VE in VGErg.Edges)
{
VGErg.Vertizes.Add(VE.VVertexA);
VGErg.Vertizes.Add(VE.VVertexB);
}
return VGErg;
}