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annotate scripts/specfun/perms.m @ 16033:23a7661e529a ss-3-7-2

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snapshot version 3.7.2 * configure.ac (AC_INIT): Set version to 3.7.2. (OCTAVE_RELEASE_DATE): Set to 2013-02-09. (OCTAVE_COPYRIGHT): Update year.
author John W. Eaton <jwe@octave.org>
date Sun, 10 Feb 2013 00:59:19 -0500
parents f59797321a1b
children 9336d0e1d1ec
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1 ## Copyright (C) 2001-2012 Paul Kienzle
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2 ## Copyright (C) 2009 VZLU Prague
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} perms (@var{v})
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22 ##
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23 ## Generate all permutations of @var{v}, one row per permutation. The
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24 ## result has size @code{factorial (@var{n}) * @var{n}}, where @var{n}
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25 ## is the length of @var{v}.
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26 ##
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27 ## As an example, @code{perms ([1, 2, 3])} returns the matrix
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28 ##
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29 ## @example
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30 ## @group
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31 ## 1 2 3
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32 ## 2 1 3
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33 ## 1 3 2
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34 ## 2 3 1
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35 ## 3 1 2
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36 ## 3 2 1
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37 ## @end group
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38 ## @end example
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39 ## @end deftypefn
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40
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41 function A = perms (v)
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42 if (nargin != 1)
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43 print_usage ();
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44 endif
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45 vidx = [1:length(v)]';
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46 n = length (vidx);
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47
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48 if (n == 0)
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49 p = [];
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50 else
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51 p = vidx(1);
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52 for j = 2:n
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53 B = p;
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54 p = zeros (prod (2:j), n);
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55 k = rows (B);
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56 idx = 1:k;
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57 for i = j:-1:1
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58 p(idx,1:i-1) = B(:,1:i-1);
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59 p(idx,i) = vidx(j);
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60 p(idx,i+1:j) = B(:,i:j-1);
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61 idx += k;
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62 endfor
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63 endfor
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64 endif
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65 A = v(p);
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66 endfunction
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69 %!assert (perms ([1,2,3]), [1,2,3;2,1,3;1,3,2;2,3,1;3,1,2;3,2,1])
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70 %!assert (perms ("abc"), ["abc"; "bac"; "acb"; "bca"; "cab"; "cba"])
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71 %!assert (perms (int8 ([1,2,3])), int8 ([1,2,3;2,1,3;1,3,2;2,3,1;3,1,2;3,2,1]))
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73 %!error perms ()
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74 %!error perms (1, 2)
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