public void MapTriangleToNodes(Triangle t)
{
for (int i = 0; i < 3; i++)
{
if (t.GetNeighbor(i) == null)
{
Node n = Front.LocatePoint(t.PointCW(t.Points[i]));
if (n != null)
{
n.Triangle = t;
}
}
}
}
private TriPoint NextFlipPoint(TriPoint ep, TriPoint eq, Triangle ot, TriPoint op)
{
Winding o2d = TriUtil.Orient2d(eq, op, ep);
if (o2d == Winding.CW)
{
// Right
return(ot.PointCCW(op));
}
else if (o2d == Winding.CCW)
{
// Left
return(ot.PointCW(op));
}
throw new NotSupportedException("[Unsupported] Opposing point on constrained edge");
}
private void FlipEdgeEvent(SweepContext tcx, TriPoint ep, TriPoint eq, Triangle t, TriPoint p)
{
Triangle ot = t.NeighborAcross(p);
TriPoint op = ot.OppositePoint(t, p);
if (TriUtil.InScanArea(p, t.PointCCW(p), t.PointCW(p), op))
{
// Lets rotate shared edge one vertex CW
RotateTrianglePair(t, p, ot, op);
tcx.MapTriangleToNodes(t);
tcx.MapTriangleToNodes(ot);
if (p == eq && op == ep)
{
if (eq == tcx.EdgeEvent.ConstrainedEdge.Q && ep == tcx.EdgeEvent.ConstrainedEdge.P)
{
t.MarkConstrainedEdge(ep, eq);
ot.MarkConstrainedEdge(ep, eq);
Legalize(tcx, t);
Legalize(tcx, ot);
}
else
{
// XXX: I think one of the triangles should be legalized here?
}
}
else
{
Winding o = TriUtil.Orient2d(eq, op, ep);
t = NextFlipTriangle(tcx, o, t, ot, p, op);
FlipEdgeEvent(tcx, ep, eq, t, p);
}
}
else
{
TriPoint newP = NextFlipPoint(ep, eq, ot, op);
FlipScanEdgeEvent(tcx, ep, eq, t, ot, newP);
EdgeEvent(tcx, ep, eq, t, p);
}
}
private void FlipScanEdgeEvent(SweepContext tcx, TriPoint ep, TriPoint eq, Triangle flip_triangle, Triangle t, TriPoint p)
{
Triangle ot = t.NeighborAcross(p);
TriPoint op = ot.OppositePoint(t, p);
if (TriUtil.InScanArea(eq, flip_triangle.PointCCW(eq), flip_triangle.PointCW(eq), op))
{
// flip with new edge op->eq
FlipEdgeEvent(tcx, eq, op, ot, op);
// TODO: Actually I just figured out that it should be possible to
// improve this by getting the next ot and op before the the above
// flip and continue the flipScanEdgeEvent here
// set new ot and op here and loop back to inScanArea test
// also need to set a new flip_triangle first
// Turns out at first glance that this is somewhat complicated
// so it will have to wait.
}
else
{
TriPoint newP = NextFlipPoint(ep, eq, ot, op);
FlipScanEdgeEvent(tcx, ep, eq, flip_triangle, ot, newP);
}
}
public TriPoint OppositePoint(Triangle t, TriPoint p)
{
TriPoint cw = t.PointCW(p);
return(PointCW(cw));
}
private void EdgeEvent(SweepContext tcx, TriPoint ep, TriPoint eq, Triangle triangle, TriPoint point)
{
if (IsEdgeSideOfTriangle(triangle, ep, eq))
{
return;
}
TriPoint p1 = triangle.PointCCW(point);
Winding o1 = TriUtil.Orient2d(eq, p1, ep);
if (o1 == Winding.Collinear)
{
if (triangle.Contains(eq, p1))
{
triangle.MarkConstrainedEdge(eq, p1);
// We are modifying the constraint maybe it would be better to
// not change the given constraint and just keep a variable for the new constraint
tcx.EdgeEvent.ConstrainedEdge.Q = p1;
triangle = triangle.NeighborAcross(point);
EdgeEvent(tcx, ep, p1, triangle, p1);
}
else
{
throw new NotSupportedException("EdgeEvent - collinear points not supported");
}
return;
}
TriPoint p2 = triangle.PointCW(point);
Winding o2 = TriUtil.Orient2d(eq, p2, ep);
if (o2 == Winding.Collinear)
{
if (triangle.Contains(eq, p2))
{
triangle.MarkConstrainedEdge(eq, p2);
// We are modifying the constraint maybe it would be better to
// not change the given constraint and just keep a variable for the new constraint
tcx.EdgeEvent.ConstrainedEdge.Q = p2;
triangle = triangle.NeighborAcross(point);
EdgeEvent(tcx, ep, p2, triangle, p2);
}
else
{
throw new NotSupportedException("EdgeEvent - collinear points not supported");
}
return;
}
if (o1 == o2)
{
// Need to decide if we are rotating CW or CCW to get to a triangle
// that will cross edge
if (o1 == Winding.CW)
{
triangle = triangle.NeighborCCW(point);
}
else
{
triangle = triangle.NeighborCW(point);
}
EdgeEvent(tcx, ep, eq, triangle, point);
}
else
{
// This triangle crosses constraint so lets flippin start!
FlipEdgeEvent(tcx, ep, eq, triangle, point);
}
}
private bool Legalize(SweepContext tcx, Triangle t)
{
// To legalize a triangle we start by finding if any of the three edges
// violate the Delaunay condition
for (int i = 0; i < 3; i++)
{
if (t.DelaunayEdge[i])
{
continue;
}
Triangle ot = t.GetNeighbor(i);
if (ot != null)
{
TriPoint p = t.Points[i];
TriPoint op = ot.OppositePoint(t, p);
int oi = ot.Index(op);
// If this is a Constrained Edge or a Delaunay Edge(only during recursive legalization)
// then we should not try to legalize
if (ot.ConstrainedEdge[oi] || ot.DelaunayEdge[oi])
{
t.ConstrainedEdge[i] = ot.ConstrainedEdge[oi];
continue;
}
bool inside = Incircle(p, t.PointCCW(p), t.PointCW(p), op);
if (inside)
{
// Lets mark this shared edge as Delaunay
t.DelaunayEdge[i] = true;
ot.DelaunayEdge[oi] = true;
// Lets rotate shared edge one vertex CW to legalize it
RotateTrianglePair(t, p, ot, op);
// We now got one valid Delaunay Edge shared by two triangles
// This gives us 4 new edges to check for Delaunay
// Make sure that triangle to node mapping is done only one time for a specific triangle
bool not_legalized = !Legalize(tcx, t);
if (not_legalized)
{
tcx.MapTriangleToNodes(t);
}
not_legalized = !Legalize(tcx, ot);
if (not_legalized)
{
tcx.MapTriangleToNodes(ot);
}
// Reset the Delaunay edges, since they only are valid Delaunay edges
// until we add a new triangle or point.
// XXX: need to think about this. Can these edges be tried after we
// return to previous recursive level?
t.DelaunayEdge[i] = false;
ot.DelaunayEdge[oi] = false;
// If triangle have been legalized no need to check the other edges since
// the recursive legalization will handles those so we can end here.
return(true);
}
}
}
return(false);
}
