| public static IntersectionCircleCircle ( Circle c1, Circle c2, Vector3D &p1, Vector3D &p2 ) : int | ||
| c1 | Circle | |
| c2 | Circle | |
| p1 | Vector3D | |
| p2 | Vector3D | |
| return | int | |
/// <summary>
/// Slicing function used for earthquake puzzles.
/// c should be geodesic (orthogonal to the disk boundary).
/// </summary>
public static void SlicePolygonWithHyperbolicGeodesic(Polygon p, CircleNE c, double thickness, out List <Polygon> output)
{
Geometry g = Geometry.Hyperbolic;
Segment seg = null;
if (c.IsLine)
{
Vector3D p1, p2;
Euclidean2D.IntersectionLineCircle(c.P1, c.P2, new Circle(), out p1, out p2);
seg = Segment.Line(p1, p2);
}
else
{
// Setup the two slicing circles.
// These are cuts equidistant from the passed in geodesic.
Vector3D closestToOrigin = H3Models.Ball.ClosestToOrigin(new Circle3D()
{
Center = c.Center, Radius = c.Radius, Normal = new Vector3D(0, 0, 1)
});
Vector3D p1, p2;
Euclidean2D.IntersectionCircleCircle(c, new Circle(), out p1, out p2);
seg = Segment.Arc(p1, closestToOrigin, p2);
}
Circle c1 = H3Models.Ball.EquidistantOffset(g, seg, thickness / 2);
Circle c2 = H3Models.Ball.EquidistantOffset(g, seg, -thickness / 2);
CircleNE c1NE = c.Clone(), c2NE = c.Clone();
c1NE.Center = c1.Center; c2NE.Center = c2.Center;
c1NE.Radius = c1.Radius; c2NE.Radius = c2.Radius;
SlicePolygonHelper(p, c1NE, c2NE, out output);
}
public bool Intersects(Segment s)
{
Vector3D i1 = Vector3D.DneVector(), i2 = Vector3D.DneVector();
int numInt = 0;
if (SegmentType.Arc == Type)
{
if (SegmentType.Arc == s.Type)
{
numInt = Euclidean2D.IntersectionCircleCircle(Circle, s.Circle, out i1, out i2);
}
else
{
numInt = Euclidean2D.IntersectionLineCircle(P1, P2, s.Circle, out i1, out i2);
}
}
else
{
if (SegmentType.Arc == s.Type)
{
numInt = Euclidean2D.IntersectionLineCircle(s.P1, s.P2, Circle, out i1, out i2);
}
else
{
numInt = Euclidean2D.IntersectionLineLine(P1, P2, s.P1, s.P2, out i1);
}
}
// -1 can denote conincident segments (I'm not consistent in the impls above :/),
// and we are not going to include those for now.
if (numInt <= 0)
{
return(false);
}
if (numInt > 0)
{
if (IsPointOn(i1) && s.IsPointOn(i1))
{
return(true);
}
}
if (numInt > 1)
{
if (IsPointOn(i2) && s.IsPointOn(i2))
{
return(true);
}
}
return(false);
}
// Get the intersection points with a segment.
// Returns null if the segment is an arc coincident with the circle (infinite number of intersection points).
public Vector3D[] GetIntersectionPoints(Segment segment)
{
Vector3D p1, p2;
int result;
// Are we a line?
if (this.IsLine)
{
if (SegmentType.Arc == segment.Type)
{
Circle tempCircle = segment.Circle;
result = Euclidean2D.IntersectionLineCircle(this.P1, this.P2, tempCircle, out p1, out p2);
}
else
{
result = Euclidean2D.IntersectionLineLine(this.P1, this.P2, segment.P1, segment.P2, out p1);
p2 = Vector3D.DneVector();
}
}
else
{
if (SegmentType.Arc == segment.Type)
{
Circle tempCircle = segment.Circle;
result = Euclidean2D.IntersectionCircleCircle(tempCircle, this, out p1, out p2);
}
else
{
result = Euclidean2D.IntersectionLineCircle(segment.P1, segment.P2, this, out p1, out p2);
}
}
if (-1 == result)
{
return(null);
}
List <Vector3D> ret = new List <Vector3D>();
if (result >= 1 && segment.IsPointOn(p1))
{
ret.Add(p1);
}
if (result >= 2 && segment.IsPointOn(p2))
{
ret.Add(p2);
}
return(ret.ToArray());
}