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[project @ 2005-11-17 05:47:13 by jwe]
author jwe
date Thu, 17 Nov 2005 05:47:13 +0000
parents 4c8a2e4e0717
children 9761b7d24e9e
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1 ## Copyright (C) 2000 Kai Habel
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 2, or (at your option)
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8 ## any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, write to the Free
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17 ## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
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18 ## 02110-1301, USA.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} [@var{theta}, @var{phi}, @var{r}] = cart2sph (@var{x}, @var{y}, @var{z})
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22 ## Transform cartesian to spherical coordinates.
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23 ## @var{x}, @var{y} and @var{z} must be of same shape.
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24 ## @var{theta} describes the angle relative to the x - axis.
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25 ## @var{phi} is the angle relative to the xy - plane.
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26 ## @var{r} is the distance to the origin (0, 0, 0).
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27 ## @end deftypefn
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28 ##
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29 ## @seealso{pol2cart, cart2pol, sph2cart}
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30
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31 ## Author: Kai Habel <kai.habel@gmx.de>
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32 ## Adapted-by: jwe
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33
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34 function [Theta, Phi, R] = cart2sph (X, Y, Z)
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35
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36 if (nargin != 3)
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37 usage ("[Theta, Phi, R] = cart2sph (X, Y, Z)")
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38 endif
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39
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40 if ((! (ismatrix (X) && ismatrix (Y) && ismatrix (Z)))
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41 || size (X) != size (Y)
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42 || size (X) != size (Z))
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43 error ("cart2sph: arguments must be matrices of same size");
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44 endif
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45
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46 Theta = atan2 (Y, X);
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47 Phi = atan2 (Z, sqrt (X .^ 2 + Y .^ 2));
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48 R = sqrt (X .^ 2 + Y .^ 2 + Z .^ 2);
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49
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50 endfunction