public static VCircleEvent CircleCheckDataNode(VDataNode n, double ys)
{
VDataNode l = LeftDataNode(n);
VDataNode r = RightDataNode(n);
if (l == null || r == null || l.DataPoint == r.DataPoint || l.DataPoint == n.DataPoint || n.DataPoint == r.DataPoint)
{
return(null);
}
if (MathTools.Ccw(l.DataPoint.X, l.DataPoint.Y, n.DataPoint.X, n.DataPoint.Y, r.DataPoint.X, r.DataPoint.Y, false) <= 0)
{
return(null);
}
Vector2 center = Fortune.CircumCircleCenter(l.DataPoint, n.DataPoint, r.DataPoint);
VCircleEvent vc = new VCircleEvent();
vc.NodeN = n;
vc.NodeL = l;
vc.NodeR = r;
vc.Center = center;
vc.Valid = true;
if (vc.Y >= ys)
{
return(vc);
}
return(null);
}
public static VNode ProcessCircleEvent(VCircleEvent e, VNode root, VoronoiGraph vg, out VDataNode[] circleCheckList)
{
VEdgeNode eo;
VDataNode b = e.NodeN;
VDataNode a = LeftDataNode(b);
VDataNode c = 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
}
VEdgeNode eu = (VEdgeNode)b.Parent;
circleCheckList = new[] { a, c };
//1. Create the new Vertex
Vector2 vNew = new Vector2(e.Center.X, e.Center.Y);
// 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.Vertices.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 = EdgeToRightDataNode(a);
// replace eu by eu's Right
eu.Parent.Replace(eu, eu.Right);
}
else
{
// a is sibling
eo = 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 VNode ProcessCircleEvent(VCircleEvent e, VNode root, VoronoiGraph vg, out VDataNode[] circleCheckList)
{
VEdgeNode eo;
VDataNode b = e.NodeN;
VDataNode a = LeftDataNode(b);
VDataNode c = 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
}
VEdgeNode eu = (VEdgeNode)b.Parent;
circleCheckList = new[] { a, c };
//1. Create the new Vertex
Vector2 vNew = new Vector2(e.Center.X, e.Center.Y);
// 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.Vertices.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 = EdgeToRightDataNode(a);
// replace eu by eu's Right
eu.Parent.Replace(eu, eu.Right);
}
else
{
// a is sibling
eo = 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 VCircleEvent CircleCheckDataNode(VDataNode n, double ys)
{
VDataNode l = LeftDataNode(n);
VDataNode r = RightDataNode(n);
if (l == null || r == null || l.DataPoint == r.DataPoint || l.DataPoint == n.DataPoint || n.DataPoint == r.DataPoint)
return null;
if (MathTools.Ccw(l.DataPoint.X, l.DataPoint.Y, n.DataPoint.X, n.DataPoint.Y, r.DataPoint.X, r.DataPoint.Y, false) <= 0)
return null;
Vector2 center = Fortune.CircumCircleCenter(l.DataPoint, n.DataPoint, r.DataPoint);
VCircleEvent vc = new VCircleEvent();
vc.NodeN = n;
vc.NodeL = l;
vc.NodeR = r;
vc.Center = center;
vc.Valid = true;
if (vc.Y >= ys)
return vc;
return null;
}
/// <summary>
/// Calculates a list of edges and junction vertices by using the specified points.
/// This defaults to not using any tolerance for determining if points are equal,
/// and will not use the cleanup algorithm, which breaks the HandleBoundaries
/// method in the Voronoi class.
/// </summary>
/// <param name="vertices">The original points to use during the calculation</param>
/// <returns>A VoronoiGraph structure containing the output geometries</returns>
public static VoronoiGraph ComputeVoronoiGraph(double[] vertices)
{
//BinaryPriorityQueue pq = new BinaryPriorityQueue();
SortedDictionary <VEvent, VEvent> pq = new SortedDictionary <VEvent, VEvent>();
Dictionary <VDataNode, VCircleEvent> currentCircles = new Dictionary <VDataNode, VCircleEvent>();
VoronoiGraph vg = new VoronoiGraph();
VNode rootNode = null;
for (int i = 0; i < vertices.Length / 2; i++)
{
//pq.Push(new VDataEvent(new Vector(vertex)));
VDataEvent e = new VDataEvent(new Vector2(vertices, i * 2));
if (pq.ContainsKey(e))
{
continue;
}
pq.Add(e, e);
}
while (pq.Count > 0)
{
//VEvent ve = pq.Pop() as VEvent;
VEvent ve = pq.First().Key;
pq.Remove(ve);
VDataNode[] circleCheckList = new VDataNode[] { };
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, out circleCheckList);
}
else if (ve != null)
{
throw new Exception("Got event of type " + ve.GetType() + "!");
}
foreach (VDataNode vd in circleCheckList)
{
if (currentCircles.ContainsKey(vd))
{
currentCircles[vd].Valid = false;
currentCircles.Remove(vd);
}
if (ve == null)
{
continue;
}
VCircleEvent vce = VNode.CircleCheckDataNode(vd, ve.Y);
if (vce == null)
{
continue;
}
//pq.Push(vce);
pq.Add(vce, vce);
currentCircles[vd] = vce;
}
if (!(ve is VDataEvent))
{
continue;
}
Vector2 dp = ((VDataEvent)ve).DataPoint;
foreach (VCircleEvent vce in currentCircles.Values)
{
if (MathTools.Dist(dp.X, dp.Y, vce.Center.X, vce.Center.Y) < vce.Y - vce.Center.Y && Math.Abs(MathTools.Dist(dp.X, dp.Y, vce.Center.X, vce.Center.Y) - (vce.Y - vce.Center.Y)) > 1e-10)
{
vce.Valid = false;
}
}
}
// This is where the MapWindow version should exit since it uses the HandleBoundaries
// function instead. The following code is needed for Benjamin Ditter's original process to work.
if (!DoCleanup)
{
return(vg);
}
VNode.CleanUpTree(rootNode);
foreach (VoronoiEdge ve in vg.Edges)
{
if (ve.Done)
{
continue;
}
if (ve.VVertexB != VVUnkown)
{
continue;
}
ve.AddVertex(VVInfinite);
if (Math.Abs(ve.LeftData.Y - ve.RightData.Y) < 1e-10 && ve.LeftData.X < ve.RightData.X)
{
Vector2 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))
{
continue;
}
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);
}