/// <summary>
/// Coordinate transformation, from spherical to cartesion.
/// </summary>
/// <param name="spherical">Sperical coordinate: R, Theta: 90°..-90°, Phi: 0°..360°; angles in radians.</param>
/// <returns>Cartesian coordinate: X,Y,Z.</returns>
public Coordinate_Cartesian CoordinateTransformation_SphericalToCartesion(Coordinate_Sperical spherical)
{
Coordinate_Cartesian cartesian = new Coordinate_Cartesian();
cartesian.X = spherical.R * Math.Cos(spherical.Theta) * Math.Cos(spherical.Phi);
cartesian.Y = spherical.R * Math.Cos(spherical.Theta) * Math.Sin(spherical.Phi);;
cartesian.Z = spherical.R * Math.Sin(spherical.Theta);
return(cartesian);
}
/// <summary>
/// Coordinate transformation, from cartesion to spherical.
/// </summary>
/// <param name="cartesian">Cartesian coordinate: X,Y,Z.</param>
/// <returns>Sperical coordinate: R, Theta: 90°..-90°, Phi: 0°..360°; angles in radians.</returns>
public Coordinate_Sperical CoordinateTransformation_CartesionToSpherical(Coordinate_Cartesian cartesian)
{
Coordinate_Sperical spherical = new Coordinate_Sperical();
spherical.R = Math.Sqrt((cartesian.X * cartesian.X + cartesian.Y * cartesian.Y + cartesian.Z * cartesian.Z));
spherical.Theta = Math.Asin(cartesian.Z / spherical.R);
spherical.Phi = Math.Atan2(cartesian.Y, cartesian.X);
if (spherical.Phi < 0)
{
spherical.Phi = 2 * Math.PI + spherical.Phi;
}
return(spherical);
}