public override Ring2 <double> ConstructRing(Point2 <double>[] points)
{
if (points == null || points.Length < 3)
{
return(null);
}
Point2 <double>[] pts = PointUtils.RemoveAdjacentDups <double>(points, true);
if (pts.Length < 3)
{
return(null);
}
PlanarChainGraph <double> graph = new PlanarChainGraph <double>();
graph.Add(pts, true);
if (PlanarGraphUtils.AnyIntersections(graph))
{
return(null);
}
Orientation o = Orientation.Clockwise;
if (PointUtilsDouble.IsCCW(pts))
{
o = Orientation.Counterclockwise;
}
return(new Ring2 <double>(pts, false, o));
}
public override Ring2 <double> CloseChain(LineChain2 <double> chain)
{
if (chain == null)
{
return(null);
}
if (chain.Points.Length < 3)
{
return(null);
}
PlanarChainGraph <double> graph = new PlanarChainGraph <double>();
graph.Add(chain.Points, true);
if (PlanarGraphUtils.AnyIntersections(graph))
{
return(null);
}
Orientation o = Orientation.Clockwise;
if (chain.IsReversed)
{
if (PointUtilsDouble.IsCCW(chain.Points))
{
o = Orientation.Clockwise;
}
else
{
o = Orientation.Counterclockwise;
}
}
else
{
if (PointUtilsDouble.IsCCW(chain.Points))
{
o = Orientation.Counterclockwise;
}
else
{
o = Orientation.Counterclockwise;
}
}
return(new Ring2 <double>(chain.Points, chain.IsReversed, o));
}
public static double Distance(Point2 <double> p1, Point2 <double> p2, Point2 <double> q)
{
if (p1.Equals(p2))
{
return(PointUtilsDouble.Distance(p1, q));
}
double r = ((q.X - p1.X) * (p2.X - p1.X) + (q.Y - p1.Y) * (p2.Y - p1.Y)) / ((p2.X - p1.X) * (p2.X - p1.X) + (p2.Y - p1.Y) * (p2.Y - p1.Y));
if (r <= 0.0d)
{
return(PointUtilsDouble.Distance(q, p1));
}
if (r >= 1.0d)
{
return(PointUtilsDouble.Distance(q, p2));
}
double s = ((p1.Y - q.Y) * (p2.X - p1.X) - (p1.X - q.X) * (p2.Y - p1.Y)) / ((p2.X - p1.X) * (p2.X - p1.X) + (p2.Y - p1.Y) * (p2.Y - p1.Y));
return(Math.Abs(s) * Math.Sqrt(((p2.X - p1.X) * (p2.X - p1.X) + (p2.Y - p1.Y) * (p2.Y - p1.Y))));
}
public static bool ValidRingSet(Ring2 <double>[] rings)
{
PlanarChainGraph <double> graph = new PlanarChainGraph <double>();
HashSet <Ring2 <double> > ringHash = new HashSet <Ring2 <double> >(); //check for the silly condition of multiple references to the same ring
foreach (Ring2 <double> r in rings)
{
if (r == null)
{
return(false); //not a ring, for shame
}
if (ringHash.Contains(r))
{
return(false); //oops, duplicate reference
}
ringHash.Add(r);
graph.Add(r);
}
ringHash.Clear();
ringHash = null;
SegmentGroup <double> activeEdges = new SegmentGroup <double>();
IEnumerator <Node <double> > points = graph.GetEnumerator(); //walk through the points in xy sorted order
Node <double> nd;
LeakyResizableArray <Edge <double> > localEdges;
int localCt;
int activeCt = 0;
Edge <double> localEdge;
LineSegment2IntersectionResult <double> intersects;
Point2 <double> localStart;
Point2 <double> localEnd;
Point2 <double> activeStart;
Point2 <double> activeEnd;
Point2 <double> intPoint;
//new point event in the moving front
while (points.MoveNext())
{
nd = points.Current;
localEdges = nd.Edges; //edges connected to this point
localCt = (int)localEdges.Count;
//compute intersections with other edges in the scan area
for (int i = 0; i < localCt; i++)
{
localEdge = localEdges.Data[i];
localStart = localEdge.Start.Point;
localEnd = localEdge.End.Point;
activeCt = activeEdges.Edges.Count;
foreach (Edge <double> activeEdge in activeEdges.Edges)
{
if (object.ReferenceEquals(localEdge, activeEdge) || object.ReferenceEquals(localEdge.Start.ParentShape, activeEdge.Start.ParentShape))
{
continue; //exiting segment || 2 edges on same ring
}
activeStart = activeEdge.Start.Point;
activeEnd = activeEdge.End.Point;
intersects = SegmentUtils.ComputeIntersection(localStart, localEnd, activeStart, activeEnd);
if (intersects.IntersectionType != LineIntersectionType.NoIntersection)
{
if (intersects.IntersectionType == LineIntersectionType.CollinearIntersection)
{
return(false); // there's a full segment of intersection
}
intPoint = (Point2 <double>)intersects.BasePoint;
//we have a point intersection, and this is not on the same ring
//if the intersection point is not coincident with an endpoint, we have a bad case
//otherwise -- this is ok, since there is no common "length"
//but we need to check the odd condition that the sequential points don't cross over the ring out-on-in or in-on-out
if (PointUtilsDouble.PointsEqual(intPoint, localStart) || PointUtilsDouble.PointsEqual(intPoint, localEnd))
{
//localEdge.Previous.Start, localStart, localEnd, localEdge.Next.End
Ring2 <double> srcRing = (Ring2 <double>)activeEdge.Start.ParentShape; //we're comparing against the ring
if (PointUtilsDouble.PointsEqual(intPoint, localStart))
{
if (RingUtils.PointInteriorToRing(srcRing, localEnd))
{
return(false); //point is inside ring
}
if (RingUtils.PointInteriorToRing(srcRing, localEdge.Previous.Start.Point)) //since localStart, then we need the start of the previous edge
{
return(false); //point is inside ring
}
}
else //matched localEnd
{
if (RingUtils.PointInteriorToRing(srcRing, localStart))
{
return(false); //point is inside ring
}
if (RingUtils.PointInteriorToRing(srcRing, localEdge.Next.End.Point)) //since localEnd, then we need the end of the next edge
{
return(false); //point is inside ring
}
}
}
else if (PointUtilsDouble.PointsEqual(intPoint, activeStart) || PointUtilsDouble.PointsEqual(intPoint, activeEnd))
{
//localEdge.Previous.Start, localStart, localEnd, localEdge.Next.End
Ring2 <double> srcRing = (Ring2 <double>)localEdge.Start.ParentShape; //we're comparing against the ring
if (PointUtilsDouble.PointsEqual(intPoint, activeStart))
{
if (RingUtils.PointInteriorToRing(srcRing, activeEnd))
{
return(false); //point is inside ring
}
if (RingUtils.PointInteriorToRing(srcRing, activeEdge.Previous.Start.Point)) //since localStart, then we need the start of the previous edge
{
return(false); //point is inside ring
}
}
else //matched activeEnd
{
if (RingUtils.PointInteriorToRing(srcRing, activeStart))
{
return(false); //point is inside ring
}
if (RingUtils.PointInteriorToRing(srcRing, activeEdge.Next.End.Point)) //since localEnd, then we need the end of the next edge
{
return(false); //point is inside ring
}
}
}
else
{
return(false); //we have a mid-segment intersection between the outer ring and an inner ring
}
}
}
}
//remove all exiting segments and add all starting segments
//Action gets called exactly twice per edge -- once to add it, once to remove it
for (int i = 0; i < localCt; i++)
{
activeEdges.Action(localEdges.Data[i]);
}
}
//now, we need to check that none of the rings are inside of another ring -- we only need to check a single point per ring (unless that point is on the ring)
//note we need to neglect the inclusive/exclusive nature and just focus on point being interior to ring, since these will often be holes
for (int i = 1; i < rings.Length; i++)
{
Ring2 <double> r = rings[i];
Ring2 <double> k;
for (int j = 0; j < i; j++)
{
k = rings[j];
if (RingUtils.PointInteriorToRing(r, k.Points[0]) || RingUtils.PointInteriorToRing(r, k.Points[1])) //have to be sure point not ON ring
{
return(false);
}
}
}
return(true);
}
public static bool ValidPolygon(Ring2 <double> outer, RingSet2 <double> inner)
{
if (outer == null || inner == null)
{
return(false);
}
HashSet <Ring2 <double> > ringHash = new HashSet <Ring2 <double> >(); //check for the silly condition of multiple references to the same ring
ringHash.Add(outer);
Envelope2 <double> outerEnv = outer.Envelope;
PlanarChainGraph <double> gr = new PlanarChainGraph <double>();
foreach (Ring2 <double> r in inner.Rings)
{
if (!ringHash.Add(r))
{
return(false); //oops, duplicate reference
}
if (!Envelope2 <double> .EnvelopeContain(outerEnv, r.Envelope)) //all inner rings must be contained by outer ring, so the envelopes must overlap
{
return(false);
}
gr.Add(r);
}
ringHash.Clear();
ringHash = null;
gr.Add(outer);
SegmentGroup <double> activeEdges = new SegmentGroup <double>();
IEnumerator <Node <double> > points = gr.GetEnumerator(); //walk through the points in xy sorted order
Node <double> nd;
LeakyResizableArray <Edge <double> > localEdges;
int localCt;
int activeCt = 0;
Edge <double> localEdge;
LineSegment2IntersectionResult <double> intersects;
Point2 <double> localStart;
Point2 <double> localEnd;
Point2 <double> activeStart;
Point2 <double> activeEnd;
Point2 <double> intPoint;
SimpleGraph <object> touchingRings = new SimpleGraph <object>();
HashSet <object> outerRingTouching = new HashSet <object>();
//new point event in the moving front
while (points.MoveNext())
{
nd = points.Current;
localEdges = nd.Edges; //edges connected to this point
localCt = (int)localEdges.Count;
//compute intersections with other edges in the scan area
for (int i = 0; i < localCt; i++)
{
localEdge = localEdges.Data[i];
localStart = localEdge.Start.Point;
localEnd = localEdge.End.Point;
activeCt = activeEdges.Edges.Count;
foreach (Edge <double> activeEdge in activeEdges.Edges)
{
if (object.ReferenceEquals(localEdge, activeEdge) || object.ReferenceEquals(localEdge.Start.ParentShape, activeEdge.Start.ParentShape))
{
continue; //exiting edge || 2 edges on same ring
}
activeStart = activeEdge.Start.Point;
activeEnd = activeEdge.End.Point;
intersects = SegmentUtils.ComputeIntersection(localStart, localEnd, activeStart, activeEnd);
if (intersects.IntersectionType != LineIntersectionType.NoIntersection)
{
if (intersects.IntersectionType == LineIntersectionType.CollinearIntersection)
{
return(false); // there's a full segment of intersection - must be between outer ring and an inner ring
}
//ok, we have an intersection that is a point between 2 different rings
intPoint = intersects.BasePoint;
if (object.ReferenceEquals(localEdge.Start.ParentShape, outer)) //localEdge is on the shell
{
if (PointUtilsDouble.PointsEqual(intPoint, activeStart))
{
//only add the shell touching for segment intersection at segment start point - prevents recounting point
if (!PointUtilsDouble.PointsEqual(intPoint, localEnd))
{
if (!outerRingTouching.Add(activeEdge.Start.ParentShape))
{
return(false); //same ring touches outer ring at multiple non-adjacent points
}
}
if (!RingUtils.PointInteriorToRing(outer, activeEnd))
{
return(false); //ring is outside of shell or crosses shell at a vertex
}
}
else if (PointUtilsDouble.PointsEqual(intPoint, activeEnd))
{
//only add the shell touching for segment intersection at segment start point - prevents recounting point
if (!PointUtilsDouble.PointsEqual(intPoint, localEnd))
{
if (!outerRingTouching.Add(activeEdge.Start.ParentShape))
{
return(false); //same ring touches outer ring at multiple non-adjacent points
}
}
if (!RingUtils.PointInteriorToRing(outer, activeStart))
{
return(false); //ring is outside of shell or crosses shell at a vertex
}
}
else
{
return(false); //we have a mid-segment intersection between the outer ring and an inner ring
}
}
else if (object.ReferenceEquals(activeEdge.Start.ParentShape, outer)) //activeEdge is on the shell
{
if (PointUtilsDouble.PointsEqual(intPoint, localStart))
{
//only add the shell touching for segment intersection at segment start point - prevents recounting point
if (!PointUtilsDouble.PointsEqual(intPoint, activeEnd))
{
if (!outerRingTouching.Add(localEdge.Start.ParentShape))
{
return(false); //same ring touches outer ring at multiple non-adjacent points
}
}
if (!RingUtils.PointInteriorToRing(outer, localEnd))
{
return(false); //ring is outside of shell or crosses shell at a vertex
}
}
else if (PointUtilsDouble.PointsEqual(intPoint, localEnd))
{
//only add the shell touching for segment intersection at segment start point - prevents recounting point
if (!PointUtilsDouble.PointsEqual(intPoint, activeEnd))
{
if (!outerRingTouching.Add(localEdge.Start.ParentShape))
{
return(false); //same ring touches outer ring at multiple non-adjacent points
}
}
if (!RingUtils.PointInteriorToRing(outer, localStart))
{
return(false); //ring is outside of shell or crosses shell at a vertex
}
}
else
{
return(false); //we have a mid-segment intersection between the outer ring and an inner ring
}
}
else //both are on inner rings
{
//since the ringset is valid, we just need to map the connectivity of rings
if (!touchingRings.Contains(localEdge.Start.ParentShape))
{
touchingRings.AddNode(localEdge.Start.ParentShape);
}
if (!touchingRings.Contains(activeEdge.Start.ParentShape))
{
touchingRings.AddNode(activeEdge.Start.ParentShape);
}
touchingRings.AddEdge(localEdge.Start.ParentShape, activeEdge.Start.ParentShape);
}
} //end !nointersection
} //end foreach
} //end for
//remove all exiting segments and add all starting segments
//Action gets called exactly twice per edge -- once to add it, once to remove it
for (int i = 0; i < localCt; i++)
{
activeEdges.Action(localEdges.Data[i]);
}
}
//we now know all the rings of the ringset are "legally" connected wrt the shell -- but --
//inner rings may be adjacent to both the shell and other inner rings to form a "path" cutting the shell
//any ring COULD be outside the shell -- we did already do the quick envelope check, so just do singular point-in-ring checks
//shell cutting test (quick)
object[] shellTouchers = outerRingTouching.ToArray();
for (int i = shellTouchers.Length - 1; i > 0; i--)
{
object adjacentRingA = shellTouchers[i];
if (touchingRings.Contains(adjacentRingA))
{
for (int j = 0; j < i; j++)
{
object adjacentRingB = shellTouchers[j];
if (touchingRings.Contains(adjacentRingB))
{
if (HasPath(adjacentRingA, adjacentRingB, touchingRings))
{
return(false); //path exists between shell touching inner rings
}
}
}
}
}
//ring inside shell testing
foreach (Ring2 <double> innerR in inner.Rings)
{
if (!(RingUtils.PointInteriorToRing(outer, innerR.Points[0]) || RingUtils.PointInteriorToRing(outer, innerR.Points[1]))) //at least one of 2 adjacent points must be interior
{
return(false);
}
}
return(true);
}