Mercurial > hg > octave-lyh
annotate scripts/set/powerset.m @ 14138:72c96de7a403 stable
maint: update copyright notices for 2012
author | John W. Eaton <jwe@octave.org> |
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date | Mon, 02 Jan 2012 14:25:41 -0500 |
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1 ## Copyright (C) 2010-2012 Jaroslav Hajek |
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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 3 of the License, or (at |
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8 ## your option) 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, see |
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17 ## <http://www.gnu.org/licenses/>. |
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18 |
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19 ## -*- texinfo -*- |
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20 ## @deftypefn {Function File} {} powerset (@var{a}) |
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21 ## @deftypefnx {Function File} {} powerset (@var{a}, "rows") |
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22 ## |
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23 ## Return a cell array containing all subsets of the set @var{a}. |
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24 ## |
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25 ## @end deftypefn |
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26 ## @seealso{unique, union, setxor, setdiff, ismember} |
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27 |
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28 function p = powerset (a, byrows_arg) |
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29 |
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30 byrows = false; |
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31 |
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32 if (nargin == 2) |
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33 if (! strcmpi (byrows_arg, "rows")) |
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34 error ('powerset: expecting third argument to be "rows"'); |
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35 elseif (iscell (a)) |
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36 warning ('powerset: "rows" not valid for cell arrays'); |
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37 else |
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38 byrows = true; |
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39 endif |
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40 elseif (nargin != 1) |
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41 print_usage (); |
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42 endif |
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43 |
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44 if (byrows) |
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45 a = unique (a, byrows_arg); |
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46 n = rows (a); |
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47 else |
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48 a = unique (a); |
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49 n = numel (a); |
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50 endif |
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51 |
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52 if (n == 0) |
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53 p = []; |
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54 else |
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55 if (n > 32) |
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56 error ("powerset: not implemented for more than 32 elements"); |
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57 endif |
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58 |
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59 ## Logical rep |
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60 b = reshape (bitunpack (uint32 (0:2^n-1)), 32, 2^n)(1:n,:); |
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61 ## Convert to indices and lengths. |
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62 [i, k] = find (b); |
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63 k = sum (b, 1); |
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64 |
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65 ## Index and split. |
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66 if (byrows) |
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67 p = mat2cell (a(i,:), k, columns (a)); |
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68 else |
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69 if (rows (a) == 1) |
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70 p = mat2cell (a(i), 1, k); |
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71 else |
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72 p = mat2cell (a(i), k, 1); |
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73 endif |
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74 endif |
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75 endif |
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76 |
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77 endfunction |
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78 |
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79 |
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80 %!test |
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81 %! c = sort (cellstr ({ [], [1], [2], [3], [1, 2], [1, 3], [2, 3], [1, 2, 3]})); |
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82 %! p = sort (cellstr (powerset ([1, 2, 3]))); |
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83 %! assert (p, c); |