— Function File: [theta, r] = cart2pol (x, y)
— Function File: [theta, r, z] = cart2pol (x, y, z)

Transform cartesian to polar or cylindrical coordinates. x, y (and z) must be of same shape. theta describes the angle relative to the x - axis. r is the distance to the z - axis (0, 0, z).

— Function File: [x, y] = pol2cart (theta, r)
— Function File: [x, y, z] = pol2cart (theta, r, z)

Transform polar or cylindrical to cartesian coordinates. theta, r (and z) must be of same shape. theta describes the angle relative to the x - axis. r is the distance to the z - axis (0, 0, z).

— Function File: [theta, phi, r] = cart2sph (x, y, z)

Transform cartesian to spherical coordinates. x, y and z must be of same shape. theta describes the angle relative to the x - axis. phi is the angle relative to the xy - plane. r is the distance to the origin (0, 0, 0).

— Function File: [x, y, z] = sph2cart (theta, phi, r)

Transform spherical to cartesian coordinates. x, y and z must be of same shape. theta describes the angle relative to the x-axis. phi is the angle relative to the xy-plane. r is the distance to the origin (0, 0, 0).