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annotate scripts/set/powerset.m @ 10793:be55736a0783

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author Rik <octave@nomad.inbox5.com>
date Sun, 18 Jul 2010 20:35:16 -0700
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children fd0a3ac60b0e
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1 ## Copyright (C) 2010 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 the cell array of 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