/// <summary>
/// This needs to be called after the model is set.
/// </summary>
internal static Mobius RandomMobius(Tiler.Settings settings, Random rand)
{
Geometry g = settings.Geometry;
// Pick a random point to move to origin.
// Could be cool to make the geometry arbitrary here (i.e. a spherical transformation applied to a euclidean tiling looks sweet).
Mobius m = new Mobius();
Complex c = new Complex(rand.NextDouble() / 2, rand.NextDouble() / 2);
double a = rand.NextDouble() * Math.PI;
if (g == Geometry.Euclidean)
{
if (settings.EuclideanModel == EuclideanModel.Isometric ||
settings.EuclideanModel == EuclideanModel.Loxodromic)
{
// I don't really like how the rotations look in the plane.
// For Loxodromic, things won't line up if we allow this.
a = 0;
}
else if (settings.EuclideanModel == EuclideanModel.Conformal)
{
g = Geometry.Spherical;
c = new Complex(rand.NextDouble() * 4, rand.NextDouble() * 4);
}
}
m.Isometry(g, a, c);
return(m);
}
static public Mobius RotAboutPoint(Geometry g, Vector3D p, double rot)
{
Mobius m1 = new Mobius(), m2 = new Mobius();
m1.Isometry(g, 0, p);
m2.Isometry(g, rot, new Complex());
return(m1 * m2 * m1.Inverse());
}
