/// <summary>
/// Transform a Vector3d by the given Matrix, and project the resulting Vector4 back to a Vector3
/// </summary>
/// <param name="vec">The vector to transform</param>
/// <param name="mat">The desired transformation</param>
/// <returns>The transformed vector</returns>
public static Vector3d TransformPerspective(Vector3d vec, Matrix4d mat)
{
Vector4d h = Transform(vec, mat);
return(new Vector3d(h.X / h.W, h.Y / h.W, h.Z / h.W));
}
/// <summary>
/// Constructs a new instance from the given Vector4d.
/// </summary>
/// <param name="v">The Vector4d to copy components from.</param>
public Vector3d(Vector4d v)
{
X = v.X;
Y = v.Y;
Z = v.Z;
}
/// <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 Vector4d result)
{
Vector4d v4 = new Vector4d(vec.X, vec.Y, vec.Z, 1.0f);
Vector4d.Transform(ref v4, ref mat, out result);
}
