| public static IntersectionLineCircle ( Vector3D lineP1, Vector3D lineP2, Circle circle, Vector3D &p1, Vector3D &p2 ) : int | ||
| lineP1 | Vector3D | |
| lineP2 | Vector3D | |
| circle | 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());
}
/// <summary>
/// Returns the 6 simplex edges in the UHS model.
/// </summary>
public static H3.Cell.Edge[] SimplexEdgesUHS(int p, int q, int r)
{
// Only implemented for honeycombs with hyperideal cells right now.
if (!(Geometry2D.GetGeometry(p, q) == Geometry.Hyperbolic))
{
throw new System.NotImplementedException();
}
Sphere[] simplex = SimplexCalcs.Mirrors(p, q, r, moveToBall: false);
Circle[] circles = simplex.Select(s => H3Models.UHS.IdealCircle(s)).ToArray();
Vector3D[] defPoints = new Vector3D[6];
Vector3D dummy;
Euclidean2D.IntersectionLineCircle(circles[1].P1, circles[1].P2, circles[0], out defPoints[0], out dummy);
Euclidean2D.IntersectionLineCircle(circles[2].P1, circles[2].P2, circles[0], out defPoints[1], out dummy);
Euclidean2D.IntersectionLineCircle(circles[1].P1, circles[1].P2, circles[3], out defPoints[2], out dummy);
Euclidean2D.IntersectionLineCircle(circles[2].P1, circles[2].P2, circles[3], out defPoints[3], out dummy);
Circle3D c = simplex[0].Intersection(simplex[3]);
Vector3D normal = c.Normal;
normal.RotateXY(Math.PI / 2);
Vector3D intersection;
double height, off;
Euclidean2D.IntersectionLineLine(c.Center, c.Center + normal, circles[1].P1, circles[1].P2, out intersection);
off = (intersection - c.Center).Abs();
height = Math.Sqrt(c.Radius * c.Radius - off * off);
intersection.Z = height;
defPoints[4] = intersection;
Euclidean2D.IntersectionLineLine(c.Center, c.Center + normal, circles[2].P1, circles[2].P2, out intersection);
off = (intersection - c.Center).Abs();
height = Math.Sqrt(c.Radius * c.Radius - off * off);
intersection.Z = height;
defPoints[5] = intersection;
// Hyperideal vertex too?
bool order = false;
H3.Cell.Edge[] edges = null;
if (Geometry2D.GetGeometry(q, r) == Geometry.Hyperbolic)
{
edges = new H3.Cell.Edge[]
{
new H3.Cell.Edge(new Vector3D(), new Vector3D(0, 0, 10)),
new H3.Cell.Edge(defPoints[4], defPoints[5], order),
new H3.Cell.Edge(defPoints[0], defPoints[4], order),
new H3.Cell.Edge(defPoints[1], defPoints[5], order),
new H3.Cell.Edge(defPoints[2], defPoints[4], order),
new H3.Cell.Edge(defPoints[3], defPoints[5], order),
};
}
else
{
Vector3D vPointUHS = H3Models.BallToUHS(VertexPointBall(p, q, r));
defPoints[0] = defPoints[1] = vPointUHS;
edges = new H3.Cell.Edge[]
{
new H3.Cell.Edge(vPointUHS, new Vector3D(0, 0, 10)),
new H3.Cell.Edge(defPoints[4], defPoints[5], order),
new H3.Cell.Edge(defPoints[0], defPoints[4], order),
new H3.Cell.Edge(defPoints[1], defPoints[5], order),
new H3.Cell.Edge(defPoints[2], defPoints[4], order),
new H3.Cell.Edge(defPoints[3], defPoints[5], order),
};
}
return(edges);
}