public static SphereF Merge(SphereF a, SphereF b)
{
if (a == b)
{
return(a);
}
var c1 = a.Origin;
var c2 = b.Origin;
var r1 = a.Radius;
var r2 = b.Radius;
var r = (c1 - c2).Length();
if (r + r1 < r2)
{
return(b);
}
if (r + r2 < r1)
{
return(a);
}
var newR = (r1 + r2 + r) * 0.5f;
var newC = c1 + (c2 - c1) * (newR - r1) / r;
return(new SphereF(newC, newR));
}
/// <summary>
/// Determines whether the given sphere intersects the current instance of <see cref="ConeF"/>.
/// </summary>
/// <param name="sphere">The sphere to check.</param>
/// <returns>True if the given sphere intersects the current instance of <see cref="ConeF"/>; False otherwise.</returns>
public bool Intersects(SphereF sphere)
{
float sinAngle = MathEx.Sin(Angle);
float cosAngle = MathEx.Cos(Angle);
float invSin = 1.0f / sinAngle;
float cosSqr = cosAngle * cosAngle;
Vector3F cmv = sphere.Origin - Origin;
Vector3F d = cmv + (sphere.Radius * invSin) * Axis;
float lengthSqr = d.LengthSquared();
float e = Vector3F.Dot(d, Axis);
if (e > 0 && e * e >= lengthSqr * cosSqr)
{
float sinSqr = sinAngle * sinAngle;
lengthSqr = cmv.LengthSquared();
e = -Vector3F.Dot(cmv, Axis);
if (e > 0.0f && e * e >= lengthSqr * sinSqr)
{
float rSqr = sphere.Radius * sphere.Radius;
return(lengthSqr <= rSqr);
}
return(true);
}
return(false);
}
public bool Equals(SphereF v, float epsilon)
{
if (!Origin.Equals(ref v.Origin, epsilon))
{
return(false);
}
if (Math.Abs(Radius - v.Radius) > epsilon)
{
return(false);
}
return(true);
}
public bool Intersects(ref SphereF s)
{
float x = s.Origin.X - Origin.X;
float y = s.Origin.Y - Origin.Y;
float z = s.Origin.Z - Origin.Z;
float lengthSqr = x * x + y * y + z * z;
float r = s.Radius + Radius;
if (lengthSqr > r * r)
{
return(false);
}
return(true);
}
public SphereF(SphereF source)
{
Origin = source.Origin;
Radius = source.Radius;
}
public bool Contains(SphereF s)
{
return(Contains(ref s));
}
public bool Contains(ref SphereF s)
{
return((Origin - s.Origin).Length() + s.Radius <= Radius);
}
public bool Intersects(SphereF s)
{
return(Intersects(ref s));
}
public Sphere(SphereF source)
{
Origin = source.Origin.ToVector3();
Radius = source.Radius;
}