/// <summary>
/// True if (a) both polygons lie in the same plane (vertical distance up to Msystem.Tolerance), and
/// (b) they overlap (the overlapping horizontal distance exceeds Msystem.Tolerance)
/// </summary>
public bool OverlapsWith(Polygon3D another)
{
if (!(Normal.IsParallelTo(another.Normal) &&
Plane.AbsoluteDistanceTo(another[0]) < MSystem.Tolerance))
{
return(false);
}
// If one polygon contains inside a vertex of another, then they overlap
// Border tolerance is allowed for case that they just touch (do not overlap)
if (another.Any(t => ContainsPoint(t, MSystem.Tolerance)) ||
this.Any(t => another.ContainsPoint(t, MSystem.Tolerance)))
{
return(true);
}
// Now check the case when no vertex of one polygon lies inside another
var intersections = new HashSet <Point3D>();
foreach (var edge1 in Edges)
{
foreach (var edge2 in another.Edges)
{
var intersection = edge1.ClosestPointsBetween(edge2, true);
if (intersection.Item1.DistanceTo(intersection.Item2) < MSystem.Tolerance)
{
intersections.Add(intersection.Item1);
}
}
}
if (!intersections.Any())
{
return(false);
}
// Again exclude the case when they just touch and do not overlap
var c = Point3D.Centroid(intersections);
return(ContainsPoint(c, MSystem.Tolerance) || another.ContainsPoint(c, MSystem.Tolerance));
}
public double AbsoluteDistanceToPoint3D()
{
return(Plane1.AbsoluteDistanceTo(Point3D));
}