/// <summary>Transform a Vector by the given Matrix</summary>
/// <param name="vec">The vector to transform</param>
/// <param name="mat">The desired transformation</param>
/// <param name="result">The transformed vector</param>
public static void Transform(ref Vector3d vec, ref Matrix4d mat, out Vector3d result)
{
Vector4d v4 = new Vector4d(vec.X, vec.Y, vec.Z, 1.0);
Vector4d.Transform(ref v4, ref mat, out v4);
result = v4.Xyz;
}
/// <summary>Transform a Vector3d by the given Matrix, and project the resulting Vector4d back to a Vector3d</summary>
/// <param name="vec">The vector to transform</param>
/// <param name="mat">The desired transformation</param>
/// <param name="result">The transformed vector</param>
public static void TransformPerspective(ref Vector3d vec, ref Matrix4d mat, out Vector3d result)
{
Vector4d v = new Vector4d(vec, 1);
Vector4d.Transform(ref v, ref mat, out v);
result.X = v.X / v.W;
result.Y = v.Y / v.W;
result.Z = v.Z / v.W;
}