annotate scripts/general/cart2pol.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
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
3803
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
1 ## Copyright (C) 2000 Kai Habel
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
2 ##
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
3 ## This file is part of Octave.
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
4 ##
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
6 ## under the terms of the GNU General Public License as published by
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
7 ## the Free Software Foundation; either version 2, or (at your option)
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
8 ## any later version.
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
9 ##
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
10 ## Octave is distributed in the hope that it will be useful, but
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
13 ## General Public License for more details.
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
14 ##
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
15 ## You should have received a copy of the GNU General Public License
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
16 ## along with Octave; see the file COPYING. If not, write to the Free
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
17 ## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
18 ## 02111-1307, USA.
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
19
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
20 ## -*- texinfo -*-
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
21 ## @deftypefn {Function File} {} [@var{theta}, @var{r}] = cart2pol (@var{x}, @var{y})
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
22 ## @deftypefnx {Function File} {} [@var{theta}, @var{r}, @var{z}] = cart2pol (@var{x}, @var{y}, @var{z})
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
23 ## Transform cartesian to polar or cylindrical coordinates.
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
24 ## @var{x}, @var{y} (and @var{z}) must be of same shape.
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
25 ## @var{theta} describes the angle relative to the x - axis.
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
26 ## @var{r} is the distance to the z - axis (0, 0, z).
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
27 ## @end deftypefn
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
28 ## @seealso{pol2cart, cart2sph, sph2cart}
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
29
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
30 ## Author: Kai Habel <kai.habel@gmx.de>
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
31 ## Adapted-by: jwe
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
32
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
33 function [Theta, R, Z] = cart2pol (X, Y, Z)
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
34
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
35 if (nargin < 2 || nargin > 3)
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
36 error ("cart2pol: number of arguments must be 2 or 3");
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
37 endif
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
38
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
39 if (nargin == 2 && nargout > 2)
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
40 error ("cart2pol: number of output arguments must not be greater than number of input arguments");
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
41 endif
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
42
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
43 if ((! (is_matrix (X) && is_matrix (Y)))
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
44 || (size (X) != size (Y))
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
45 || (nargin == 3 && (! (size (X) == size (Z) && is_matrix (Z)))))
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
46 error ("cart2pol: arguments must be matrices of same size");
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
47 endif
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
48
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
49 Theta = atan2 (Y, X);
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
50 R = sqrt (X .^ 2 + Y .^ 2);
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
51
63c75bc3db82 [project @ 2001-02-28 08:24:40 by jwe]
jwe
parents:
diff changeset
52 endfunction