diff scripts/general/cart2sph.m @ 3803:63c75bc3db82

[project @ 2001-02-28 08:24:40 by jwe]
author jwe
date Wed, 28 Feb 2001 08:24:43 +0000
parents
children 22bd65326ec1
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/scripts/general/cart2sph.m	Wed Feb 28 08:24:43 2001 +0000
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+## Copyright (C) 2000  Kai Habel
+##
+## This file is part of Octave.
+##
+## Octave is free software; you can redistribute it and/or modify it
+## under the terms of the GNU General Public License as published by
+## the Free Software Foundation; either version 2, or (at your option)
+## any later version.
+##
+## Octave is distributed in the hope that it will be useful, but
+## WITHOUT ANY WARRANTY; without even the implied warranty of
+## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+## General Public License for more details.
+##
+## You should have received a copy of the GNU General Public License
+## along with Octave; see the file COPYING.  If not, write to the Free
+## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
+## 02111-1307, USA.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {} [@var{theta}, @var{phi}, @var{r}] = cart2sph (@var{x}, @var{y}, @var{z})
+## Transform cartesian to spherical coordinates.
+## @var{x}, @var{y} and @var{z} must be of same shape.
+## @var{theta} describes the angle relative to the x - axis.
+## @var{phi} is the angle relative to the xy - plane.
+## @var{r} is the distance to the origin (0, 0, 0).
+## @end deftypefn
+## @seealso{pol2cart, cart2pol, sph2cart}
+
+## Author: Kai Habel <kai.habel@gmx.de>
+## Adapted-by: jwe
+
+function [Theta, Phi, R] = cart2sph (X, Y, Z)
+
+  if (nargin != 3)
+    usage ("[Theta, Phi, R] = cart2sph (X, Y, Z)")
+  endif
+
+  if ((! (is_matrix (X) && is_matrix (Y) && is_matrix (Z)))
+      || size (X) != size (Y)
+      || size (X) != size (Z))
+    error ("cart2sph: arguments must be matrices of same size");
+  endif
+
+  Theta = atan2 (Y, X);
+  Phi = atan2 (Z, sqrt (X .^ 2 + Y .^ 2));
+  R = sqrt (X .^ 2 + Y .^ 2 + Z .^ 2);
+
+endfunction