public static MultiVector CreatePoint(MultiVector v)
{
if (IPNS.GetGeometricEntity(v) != GeometricEntity.Vector)
{
throw new InvalidEntityException();
}
return(v + 0.5 * MultiVector.ScalarProduct(v, v) * Basis.E8 + Basis.E0);
}
public static void GetPointParams(MultiVector obj, out MultiVector x)
{
MultiVector temp;
double r;
IPNS.GetSphereParams(obj, out temp, out r);
if (r != 0.0)
{
throw new InvalidEntityException();
}
x = temp;
}
public static MultiVector CreateSphere(double e1, double e2, double e3, double r)
{
return(IPNS.CreatePoint(e1, e2, e3) - 0.5 * r * r * Basis.E8);
}
public static MultiVector CreateCircle(MultiVector n, MultiVector c, double r)
{
double d = (double)MultiVector.ScalarProduct(c, n);
return(IPNS.CreatePlane(n, d) ^ IPNS.CreateSphere(c, r));
}
public static MultiVector CreateSphere(MultiVector c, double r)
{
return(IPNS.CreatePoint(c) - 0.5 * r * r * Basis.E8);
}
