X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fgeneral%2Fpol2cart.m;fp=octave_packages%2Fm%2Fgeneral%2Fpol2cart.m;h=587d185e20c7075e054f643ffd730d5495765273;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/general/pol2cart.m b/octave_packages/m/general/pol2cart.m new file mode 100644 index 0000000..587d185 --- /dev/null +++ b/octave_packages/m/general/pol2cart.m @@ -0,0 +1,142 @@ +## Copyright (C) 2000-2012 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 3 of the License, 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, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {[@var{x}, @var{y}] =} pol2cart (@var{theta}, @var{r}) +## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} pol2cart (@var{theta}, @var{r}, @var{z}) +## @deftypefnx {Function File} {[@var{x}, @var{y}] =} pol2cart (@var{p}) +## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} pol2cart (@var{p}) +## @deftypefnx {Function File} {@var{C} =} pol2cart (@dots{}) +## Transform polar or cylindrical to Cartesian coordinates. +## +## @var{theta}, @var{r}, (and @var{z}) must be the same shape, or scalar. +## @var{theta} describes the angle relative to the positive x-axis. +## @var{r} is the distance to the z-axis (0, 0, z). +## If called with a single matrix argument then each row of @var{p} +## represents the polar/(cylindrical) coordinate (@var{x}, @var{y} (, @var{z})). +## +## If only a single return argument is requested then return a matrix +## @var{C} where each row represents one Cartesian coordinate +## (@var{x}, @var{y} (, @var{z})). +## @seealso{cart2pol, sph2cart, cart2sph} +## @end deftypefn + +## Author: Kai Habel +## Adapted-by: jwe + +function [x, y, z] = pol2cart (theta, r, z) + + if (nargin < 1 || nargin > 3) + print_usage (); + endif + + if (nargin == 1) + if (ismatrix (theta) && (columns (theta) == 2 || columns (theta) == 3)) + if (columns (theta) == 3) + z = theta(:,3); + else + z = []; + endif + r = theta(:,2); + theta = theta(:,1); + else + error ("pol2car: matrix input must have 2 or 3 columns [THETA, R (, Z)]"); + endif + elseif (nargin == 2) + if (! ((ismatrix (theta) && ismatrix (r)) + && (size_equal (theta, r) || isscalar (theta) || isscalar (r)))) + error ("pol2cart: arguments must be matrices of same size, or scalar"); + endif + elseif (nargin == 3) + if (! ((ismatrix (theta) && ismatrix (r) && ismatrix (z)) + && (size_equal (theta, r) || isscalar (theta) || isscalar (r)) + && (size_equal (theta, z) || isscalar (theta) || isscalar (z)) + && (size_equal (r, z) || isscalar (r) || isscalar (z)))) + error ("pol2cart: arguments must be matrices of same size, or scalar"); + endif + endif + + x = r .* cos (theta); + y = r .* sin (theta); + + if (nargout <= 1) + x = [x, y, z]; + endif + +endfunction + +%!test +%! t = [0, 0.5, 1] * pi; +%! r = 1; +%! [x, y] = pol2cart (t, r); +%! assert (x, [1, 0, -1], sqrt(eps)); +%! assert (y, [0, 1, 0], sqrt(eps)); + +%!test +%! t = [0, 1, 1] * pi/4; +%! r = sqrt(2) * [0, 1, 2]; +%! [x, y] = pol2cart (t, r); +%! assert (x, [0, 1, 2], sqrt(eps)); +%! assert (y, [0, 1, 2], sqrt(eps)); + +%!test +%! t = [0, 1, 1] * pi/4; +%! r = sqrt(2) * [0, 1, 2]; +%! z = [0, 1, 2]; +%! [x, y, z2] = pol2cart (t, r, z); +%! assert (x, [0, 1, 2], sqrt(eps)); +%! assert (y, [0, 1, 2], sqrt(eps)); +%! assert (z, z2); + +%!test +%! t = 0; +%! r = [0, 1, 2]; +%! z = [0, 1, 2]; +%! [x, y, z2] = pol2cart (t, r, z); +%! assert (x, [0, 1, 2], sqrt(eps)); +%! assert (y, [0, 0, 0], sqrt(eps)); +%! assert (z, z2); + +%!test +%! t = [1, 1, 1]*pi/4; +%! r = 1; +%! z = [0, 1, 2]; +%! [x, y, z2] = pol2cart (t, r, z); +%! assert (x, [1, 1, 1] / sqrt(2), eps); +%! assert (y, [1, 1, 1] / sqrt(2), eps); +%! assert (z, z2); + +%!test +%! t = 0; +%! r = [1, 2, 3]; +%! z = 1; +%! [x, y, z2] = pol2cart (t, r, z); +%! assert (x, [1, 2, 3], eps); +%! assert (y, [0, 0, 0] / sqrt(2), eps); +%! assert (z, z2); + +%!test +%! P = [0, 0; pi/4, sqrt(2); pi/4, 2*sqrt(2)]; +%! C = [0, 0; 1, 1; 2, 2]; +%! assert (pol2cart(P), C, sqrt(eps)); + +%!test +%! P = [0, 0, 0; pi/4, sqrt(2), 1; pi/4, 2*sqrt(2), 2]; +%! C = [0, 0, 0; 1, 1, 1; 2, 2, 2]; +%! assert (pol2cart(P), C, sqrt(eps)); +