Site RightRegion(HalfEdge hE, Site lowestSite)
{
Edge e = hE.e;
if (e == null)
{
return(lowestSite);
}
return(e.Site(LR.Other(hE.lr)));
}
private Site RightRegion(Halfedge he, Site bottomMostSite)
{
Edge edge = he.edge;
if (edge == null)
{
return(bottomMostSite);
}
return(edge.Site(LR.Other(he.leftRight)));
}
private List <Vector2f> ClipToBounds(Rectf bounds)
{
List <Vector2f> points = new List <Vector2f>();
int n = this.edges.Count;
int i = 0;
Edge edge;
// Linear search for an initial visible edge.
while (i < n && !this.edges[i].Visible)
{
i++;
}
// Reached end of edge list without encountering a visible edge.
if (i == n)
{
// No edges visible
return(new List <Vector2f>());
}
edge = this.edges[i];
LR orientation = this.edgeOrientations[i];
points.Add(edge.ClippedVertices[orientation]);
points.Add(edge.ClippedVertices[LR.Other(orientation)]);
// Continue to process any additional visible edges.
for (int j = i + 1; j < n; j++)
{
edge = this.edges[j];
if (!edge.Visible)
{
continue;
}
this.Connect(ref points, j, bounds);
}
// Close up the polygon by adding another corner point of the bounds if needed:
this.Connect(ref points, i, bounds, true);
return(points);
}
private List <Vector2f> ClipToBounds(Rectf bounds)
{
List <Vector2f> points = new List <Vector2f>();
int n = edges.Count;
int i = 0;
Edge edge;
while (i < n && !edges[i].Visible())
{
i++;
}
if (i == n)
{
// No edges visible
return(new List <Vector2f>());
}
edge = edges[i];
LR orientation = edgeOrientations[i];
points.Add(edge.ClippedEnds[orientation]);
points.Add(edge.ClippedEnds[LR.Other(orientation)]);
for (int j = i + 1; j < n; j++)
{
edge = edges[j];
if (!edge.Visible())
{
continue;
}
Connect(ref points, j, bounds);
}
// Close up the polygon by adding another corner point of the bounds if needed:
Connect(ref points, i, bounds, true);
return(points);
}
private List <Point> ClipToBounds(Rectangle bounds)
{
List <Point> points = new List <Point>();
int n = edges.Count;
int i = 0;
Edge e;
while (i < n && (edges[i].GetVisible() == false))
{
i++;
}
if (i == n)
{
return(new List <Point>());
}
e = edges[i];
LR orient = edgeOrientations[i];
points.Add(e.GetClippedEnds()[orient]);
points.Add(e.GetClippedEnds()[LR.Other(orient)]);
for (int j = i + 1; j < n; j++)
{
e = edges[j];
if (e.GetVisible() == false)
{
continue;
}
Connect(points, j, bounds, false);
}
Connect(points, i, bounds, true);
return(points);
}
private void FortunesAlgorithm()
{
Site newSite, bottomSite, topSite, tempSite;
Vertex v, vertex;
Vector2f newIntStar = Vector2f.zero;
LR leftRight;
Halfedge lbnd, rbnd, llbnd, rrbnd, bisector;
Edge edge;
Rectf dataBounds = sites.GetSitesBounds();
int sqrtSitesNb = (int)Math.Sqrt(sites.Count() + 4);
HalfedgePriorityQueue heap = new HalfedgePriorityQueue(dataBounds.y, dataBounds.height, sqrtSitesNb);
EdgeList edgeList = new EdgeList(dataBounds.x, dataBounds.width, sqrtSitesNb);
List <Halfedge> halfEdges = new List <Halfedge>();
List <Vertex> vertices = new List <Vertex>();
Site bottomMostSite = sites.Next();
newSite = sites.Next();
while (true)
{
if (!heap.Empty())
{
newIntStar = heap.Min();
}
if (newSite != null &&
(heap.Empty() || CompareByYThenX(newSite, newIntStar) < 0))
{
// New site is smallest
//Debug.Log("smallest: new site " + newSite);
// Step 8:
lbnd = edgeList.EdgeListLeftNeighbor(newSite.Coord); // The halfedge just to the left of newSite
//UnityEngine.Debug.Log("lbnd: " + lbnd);
rbnd = lbnd.edgeListRightNeighbor; // The halfedge just to the right
//UnityEngine.Debug.Log("rbnd: " + rbnd);
bottomSite = RightRegion(lbnd, bottomMostSite); // This is the same as leftRegion(rbnd)
// This Site determines the region containing the new site
//UnityEngine.Debug.Log("new Site is in region of existing site: " + bottomSite);
// Step 9
edge = Edge.CreateBisectingEdge(bottomSite, newSite);
//UnityEngine.Debug.Log("new edge: " + edge);
edges.Add(edge);
bisector = Halfedge.Create(edge, LR.LEFT);
halfEdges.Add(bisector);
// Inserting two halfedges into edgelist constitutes Step 10:
// Insert bisector to the right of lbnd:
edgeList.Insert(lbnd, bisector);
// First half of Step 11:
if ((vertex = Vertex.Intersect(lbnd, bisector)) != null)
{
vertices.Add(vertex);
heap.Remove(lbnd);
lbnd.vertex = vertex;
lbnd.ystar = vertex.y + newSite.Dist(vertex);
heap.Insert(lbnd);
}
lbnd = bisector;
bisector = Halfedge.Create(edge, LR.RIGHT);
halfEdges.Add(bisector);
// Second halfedge for Step 10::
// Insert bisector to the right of lbnd:
edgeList.Insert(lbnd, bisector);
// Second half of Step 11:
if ((vertex = Vertex.Intersect(bisector, rbnd)) != null)
{
vertices.Add(vertex);
bisector.vertex = vertex;
bisector.ystar = vertex.y + newSite.Dist(vertex);
heap.Insert(bisector);
}
newSite = sites.Next();
}
else if (!heap.Empty())
{
// Intersection is smallest
lbnd = heap.ExtractMin();
llbnd = lbnd.edgeListLeftNeighbor;
rbnd = lbnd.edgeListRightNeighbor;
rrbnd = rbnd.edgeListRightNeighbor;
bottomSite = LeftRegion(lbnd, bottomMostSite);
topSite = RightRegion(rbnd, bottomMostSite);
// These three sites define a Delaunay triangle
// (not actually using these for anything...)
// triangles.Add(new Triangle(bottomSite, topSite, RightRegion(lbnd, bottomMostSite)));
v = lbnd.vertex;
v.SetIndex();
lbnd.edge.SetVertex(lbnd.leftRight, v);
rbnd.edge.SetVertex(rbnd.leftRight, v);
edgeList.Remove(lbnd);
heap.Remove(rbnd);
edgeList.Remove(rbnd);
leftRight = LR.LEFT;
if (bottomSite.y > topSite.y)
{
tempSite = bottomSite;
bottomSite = topSite;
topSite = tempSite;
leftRight = LR.RIGHT;
}
edge = Edge.CreateBisectingEdge(bottomSite, topSite);
edges.Add(edge);
bisector = Halfedge.Create(edge, leftRight);
halfEdges.Add(bisector);
edgeList.Insert(llbnd, bisector);
edge.SetVertex(LR.Other(leftRight), v);
if ((vertex = Vertex.Intersect(llbnd, bisector)) != null)
{
vertices.Add(vertex);
heap.Remove(llbnd);
llbnd.vertex = vertex;
llbnd.ystar = vertex.y + bottomSite.Dist(vertex);
heap.Insert(llbnd);
}
if ((vertex = Vertex.Intersect(bisector, rrbnd)) != null)
{
vertices.Add(vertex);
bisector.vertex = vertex;
bisector.ystar = vertex.y + bottomSite.Dist(vertex);
heap.Insert(bisector);
}
}
else
{
break;
}
}
// Heap should be empty now
heap.Dispose();
edgeList.Dispose();
foreach (Halfedge halfedge in halfEdges)
{
halfedge.ReallyDispose();
}
halfEdges.Clear();
// we need the vertices to clip the edges
foreach (Edge e in edges)
{
e.ClipVertices(plotBounds);
}
// But we don't actually ever use them again!
foreach (Vertex ve in vertices)
{
ve.Dispose();
}
vertices.Clear();
}
private void Connect(ref List <Vector2f> points, int j, Rectf bounds, bool closingUp = false)
{
Vector2f rightPoint = points[points.Count - 1];
Edge newEdge = edges[j];
LR newOrientation = edgeOrientations[j];
// The point that must be conected to rightPoint:
Vector2f newPoint = newEdge.ClippedEnds[newOrientation];
if (!CloseEnough(rightPoint, newPoint))
{
// The points do not coincide, so they must have been clipped at the bounds;
// see if they are on the same border of the bounds:
if (rightPoint.x != newPoint.x && rightPoint.y != newPoint.y)
{
// They are on different borders of the bounds;
// insert one or two corners of bounds as needed to hook them up:
// (NOTE this will not be correct if the region should take up more than
// half of the bounds rect, for then we will have gone the wrong way
// around the bounds and included the smaller part rather than the larger)
int rightCheck = BoundsCheck.Check(rightPoint, bounds);
int newCheck = BoundsCheck.Check(newPoint, bounds);
float px, py;
if ((rightCheck & BoundsCheck.RIGHT) != 0)
{
px = bounds.right;
if ((newCheck & BoundsCheck.BOTTOM) != 0)
{
py = bounds.bottom;
points.Add(new Vector2f(px, py));
}
else if ((newCheck & BoundsCheck.TOP) != 0)
{
py = bounds.top;
points.Add(new Vector2f(px, py));
}
else if ((newCheck & BoundsCheck.LEFT) != 0)
{
if (rightPoint.y - bounds.y + newPoint.y - bounds.y < bounds.height)
{
py = bounds.top;
}
else
{
py = bounds.bottom;
}
points.Add(new Vector2f(px, py));
points.Add(new Vector2f(bounds.left, py));
}
}
else if ((rightCheck & BoundsCheck.LEFT) != 0)
{
px = bounds.left;
if ((newCheck & BoundsCheck.BOTTOM) != 0)
{
py = bounds.bottom;
points.Add(new Vector2f(px, py));
}
else if ((newCheck & BoundsCheck.TOP) != 0)
{
py = bounds.top;
points.Add(new Vector2f(px, py));
}
else if ((newCheck & BoundsCheck.RIGHT) != 0)
{
if (rightPoint.y - bounds.y + newPoint.y - bounds.y < bounds.height)
{
py = bounds.top;
}
else
{
py = bounds.bottom;
}
points.Add(new Vector2f(px, py));
points.Add(new Vector2f(bounds.right, py));
}
}
else if ((rightCheck & BoundsCheck.TOP) != 0)
{
py = bounds.top;
if ((newCheck & BoundsCheck.RIGHT) != 0)
{
px = bounds.right;
points.Add(new Vector2f(px, py));
}
else if ((newCheck & BoundsCheck.LEFT) != 0)
{
px = bounds.left;
points.Add(new Vector2f(px, py));
}
else if ((newCheck & BoundsCheck.BOTTOM) != 0)
{
if (rightPoint.x - bounds.x + newPoint.x - bounds.x < bounds.width)
{
px = bounds.left;
}
else
{
px = bounds.right;
}
points.Add(new Vector2f(px, py));
points.Add(new Vector2f(px, bounds.bottom));
}
}
else if ((rightCheck & BoundsCheck.BOTTOM) != 0)
{
py = bounds.bottom;
if ((newCheck & BoundsCheck.RIGHT) != 0)
{
px = bounds.right;
points.Add(new Vector2f(px, py));
}
else if ((newCheck & BoundsCheck.LEFT) != 0)
{
px = bounds.left;
points.Add(new Vector2f(px, py));
}
else if ((newCheck & BoundsCheck.TOP) != 0)
{
if (rightPoint.x - bounds.x + newPoint.x - bounds.x < bounds.width)
{
px = bounds.left;
}
else
{
px = bounds.right;
}
points.Add(new Vector2f(px, py));
points.Add(new Vector2f(px, bounds.top));
}
}
}
if (closingUp)
{
// newEdge's ends have already been added
return;
}
points.Add(newPoint);
}
Vector2f newRightPoint = newEdge.ClippedEnds[LR.Other(newOrientation)];
if (!CloseEnough(points[0], newRightPoint))
{
points.Add(newRightPoint);
}
}
private void Fortunes()
{
Site nSite;
Site bottomSite;
Site topSite;
Site tSite;
Vertex v1;
Vertex v2;
Point newIntStar = null;
LR lr;
HalfEdge lBnd;
HalfEdge rBnd;
HalfEdge llBnd;
HalfEdge rrBnd;
HalfEdge bisector;
Edge e;
Rectangle dataBounds = sites.GetSitesBounds();
int sqrtNSites = (int)Math.Sqrt(sites.GetLength() + 4);
HalfEdgePriorityQueue heap = new HalfEdgePriorityQueue(dataBounds.y, dataBounds.height, sqrtNSites);
EdgeList edgeList = new EdgeList(dataBounds.x, dataBounds.width, sqrtNSites);
List <HalfEdge> halfEdges = new List <HalfEdge>();
List <Vertex> vertices = new List <Vertex>();
Site lowestSite = this.sites.Next();
nSite = sites.Next();
for (;;)
{
if (heap.Empty() == false)
{
newIntStar = heap.Min();
}
if (nSite != null &&
(heap.Empty() || CompareByYThenX(nSite, newIntStar) < 0))
{
lBnd = edgeList.EdgeListLeftNeighbor(nSite.coord);
rBnd = lBnd.edgeListRightNeighbor;
bottomSite = RightRegion(lBnd, lowestSite);
e = Edge.CreateBisectingEdge(bottomSite, nSite);
this.edges.Add(e);
bisector = HalfEdge.Create(e, LR.LEFT);
halfEdges.Add(bisector);
//Console.WriteLine(lBnd.edgeListLeftNeighbor);
//Console.WriteLine(lBnd.edgeListRightNeighbor);
edgeList.Insert(lBnd, bisector);
if ((v2 = Vertex.Intersect(lBnd, bisector)) != null)
{
vertices.Add(v2);
heap.Remove(lBnd);
lBnd.v = v2;
lBnd.yStar = v2.GetCoord().y + nSite.Dist(v2);
heap.Insert(lBnd);
}
lBnd = bisector;
bisector = HalfEdge.Create(e, LR.RIGHT);
halfEdges.Add(bisector);
edgeList.Insert(lBnd, bisector);
if ((v2 = Vertex.Intersect(bisector, rBnd)) != null)
{
vertices.Add(v2);
bisector.v = v2;
bisector.yStar = v2.GetCoord().y + nSite.Dist(v2);
heap.Insert(bisector);
}
nSite = this.sites.Next();
}
else if (heap.Empty() == false)
{
lBnd = heap.ExtractMin();
llBnd = lBnd.edgeListLeftNeighbor;
rBnd = lBnd.edgeListRightNeighbor;
rrBnd = rBnd.edgeListRightNeighbor;
bottomSite = LeftRegion(lBnd, lowestSite);
topSite = RightRegion(rBnd, lowestSite);
v1 = lBnd.v;
v1.SetIndex();
lBnd.e.SetVertex(lBnd.lr, v1);
rBnd.e.SetVertex(rBnd.lr, v1);
edgeList.Remove(lBnd);
heap.Remove(rBnd);
edgeList.Remove(rBnd);
lr = LR.LEFT;
if (bottomSite.coord.y > topSite.coord.y)
{
tSite = bottomSite;
bottomSite = topSite;
topSite = tSite;
lr = LR.RIGHT;
}
e = Edge.CreateBisectingEdge(bottomSite, topSite);
this.edges.Add(e);
bisector = HalfEdge.Create(e, lr);
halfEdges.Add(bisector);
edgeList.Insert(llBnd, bisector);
e.SetVertex(LR.Other(lr), v1);
if ((v2 = Vertex.Intersect(llBnd, bisector)) != null)
{
vertices.Add(v2);
heap.Remove(llBnd);
llBnd.v = v2;
llBnd.yStar = v2.GetCoord().y + bottomSite.Dist(v2);
heap.Insert(llBnd);
}
if ((v2 = Vertex.Intersect(bisector, rrBnd)) != null)
{
vertices.Add(v2);
bisector.v = v2;
bisector.yStar = v2.GetCoord().y + bottomSite.Dist(v2);
heap.Insert(bisector);
}
}
else
{
break;
}
}
heap.Dispose();
edgeList.Dispose();
foreach (HalfEdge hE in halfEdges)
{
hE.Kill();
}
halfEdges.Clear();
foreach (Edge tE in this.edges)
{
tE.ClipVertices(bounds);
}
foreach (Vertex v0 in vertices)
{
v0.Dispose();
}
vertices.Clear();
}
private void Connect(List <Point> points, int j, Rectangle bounds, bool Closing)
{
Point rightPoint = points[points.Count - 1];
Edge nEdge = edges[j];
LR nOrient = edgeOrientations[j];
Point nPoint = nEdge.GetClippedEnds()[nOrient];
if (CloseEnough(rightPoint, nPoint))
{
if ((rightPoint.x != nPoint.x) && (rightPoint.y != nPoint.y))
{
int rightCheck = BoundsCheck.Check(rightPoint, bounds);
int nCheck = BoundsCheck.Check(nPoint, bounds);
double pX;
double pY;
if ((rightCheck & BoundsCheck.RIGHT) != 0)
{
pX = bounds.right;
if ((nCheck & BoundsCheck.BOTTOM) != 0)
{
pY = bounds.bottom;
points.Add(new Point(pX, pY));
}
else if ((nCheck & BoundsCheck.TOP) != 0)
{
pY = bounds.top;
points.Add(new Point(pX, pY));
}
else if ((nCheck & BoundsCheck.LEFT) != 0)
{
if (((rightPoint.y - bounds.y + nPoint.y) - bounds.y) < bounds.height)
{
pY = bounds.top;
}
else
{
pY = bounds.bottom;
}
points.Add(new Point(pX, pY));
points.Add(new Point(bounds.left, pY));
}
}
else if ((rightCheck & BoundsCheck.LEFT) != 0)
{
pX = bounds.left;
if ((nCheck & BoundsCheck.BOTTOM) != 0)
{
pY = bounds.bottom;
points.Add(new Point(pX, pY));
}
else if ((nCheck & BoundsCheck.TOP) != 0)
{
pY = bounds.top;
points.Add(new Point(pX, pY));
}
else if ((nCheck & BoundsCheck.RIGHT) != 0)
{
if (((rightPoint.y - bounds.y + nPoint.y) - bounds.y) < bounds.height)
{
pY = bounds.top;
}
else
{
pY = bounds.bottom;
}
points.Add(new Point(pX, pY));
points.Add(new Point(bounds.right, pY));
}
}
else if ((rightCheck & BoundsCheck.TOP) != 0)
{
pY = bounds.top;
if ((nCheck & BoundsCheck.RIGHT) != 0)
{
pX = bounds.right;
points.Add(new Point(pX, pY));
}
else if ((nCheck & BoundsCheck.LEFT) != 0)
{
pX = bounds.left;
points.Add(new Point(pX, pY));
}
else if ((nCheck & BoundsCheck.BOTTOM) != 0)
{
if (((rightPoint.x - bounds.x + nPoint.x) - bounds.x) < bounds.width)
{
pX = bounds.left;
}
else
{
pX = bounds.right;
}
points.Add(new Point(pX, pY));
points.Add(new Point(pX, bounds.bottom));
}
}
else if ((rightCheck & BoundsCheck.BOTTOM) != 0)
{
pY = bounds.bottom;
if ((nCheck & BoundsCheck.RIGHT) != 0)
{
pX = bounds.right;
points.Add(new Point(pX, pY));
}
else if ((nCheck & BoundsCheck.LEFT) != 0)
{
pX = bounds.left;
points.Add(new Point(pX, pY));
}
else if ((nCheck & BoundsCheck.TOP) != 0)
{
if (((rightPoint.x - bounds.x + nPoint.x) - bounds.x) < bounds.width)
{
pX = bounds.left;
}
else
{
pX = bounds.right;
}
points.Add(new Point(pX, pY));
points.Add(new Point(pX, bounds.top));
}
}
}
if (Closing)
{
return;
}
points.Add(nPoint);
}
Point nRightPoint = nEdge.GetClippedEnds()[LR.Other(nOrient)];
if (!CloseEnough(points[0], nRightPoint))
{
points.Add(nRightPoint);
}
}
