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annotate scripts/set/union.m @ 8898:ca032de5fbf2

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Remove references to deprecated function create_set.
author Thorsten Meyer <thorsten.meyier@gmx.de>
date Mon, 02 Mar 2009 10:22:17 +0100
parents cadc73247d65
children eb63fbe60fab
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1 ## Copyright (C) 1994, 1996, 1997, 1999, 2000, 2003, 2004, 2005, 2006,
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2 ## 2007, 2008 John W. Eaton
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3 ## Copyright (C) 2008 Jaroslav Hajek
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4 ##
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5 ## This file is part of Octave.
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6 ##
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7 ## Octave is free software; you can redistribute it and/or modify it
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8 ## under the terms of the GNU General Public License as published by
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9 ## the Free Software Foundation; either version 3 of the License, or (at
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10 ## your option) any later version.
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11 ##
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12 ## Octave is distributed in the hope that it will be useful, but
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13 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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14 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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15 ## General Public License for more details.
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16 ##
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17 ## You should have received a copy of the GNU General Public License
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18 ## along with Octave; see the file COPYING. If not, see
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19 ## <http://www.gnu.org/licenses/>.
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20
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21 ## -*- texinfo -*-
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22 ## @deftypefn {Function File} {} union (@var{a}, @var{b})
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23 ## @deftypefnx{Function File} {} union (@var{a}, @var{b}, "rows")
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24 ## Return the set of elements that are in either of the sets @var{a} and
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25 ## @var{b}. For example,
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26 ##
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27 ## @example
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28 ## @group
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29 ## union ([1, 2, 4], [2, 3, 5])
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30 ## @result{} [1, 2, 3, 4, 5]
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31 ## @end group
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32 ## @end example
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33 ##
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34 ## If the optional third input argument is the string "rows" each row of
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35 ## the matrices @var{a} and @var{b} will be considered an element of sets.
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36 ## For example,
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37 ## @example
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38 ## @group
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39 ## union([1, 2; 2, 3], [1, 2; 3, 4], "rows")
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40 ## @result{} 1 2
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41 ## 2 3
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42 ## 3 4
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43 ## @end group
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44 ## @end example
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45 ##
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46 ## @deftypefnx {Function File} {[@var{c}, @var{ia}, @var{ib}] =} union (@var{a}, @var{b})
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47 ##
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48 ## Return index vectors @var{ia} and @var{ib} such that @code{a == c(ia)} and
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49 ## @code{b == c(ib)}.
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50 ##
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51 ## @seealso{intersect, complement, unique}
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52 ## @end deftypefn
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53
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54 ## Author: jwe
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55
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56 function [y, ia, ib] = union (a, b, varargin)
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57
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58 if (nargin < 2 || nargin > 3)
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59 print_usage ();
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60 endif
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61
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62 if (nargin == 3 && ! strcmpi (varargin{1}, "rows"))
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63 error ("union: if a third input argument is present, it must be the string 'rows'");
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64 endif
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65
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66 if (nargin == 2)
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67 y = [a(:); b(:)];
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68 na = numel (a); nb = numel (b);
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69 if (size (a, 1) == 1 || size (b, 1) == 1)
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70 y = y.';
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71 endif
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72 elseif (ndims (a) == 2 && ndims (b) == 2 && columns (a) == columns (b))
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73 y = [a; b];
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74 na = rows (a); nb = rows (b);
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75 else
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76 error ("union: input arguments must contain the same number of columns when \"rows\" is specified");
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77 endif
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78
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79 if (nargout == 1)
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80 y = unique (y, varargin{:});
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81 else
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82 [y, i] = unique (y, varargin{:});
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83 ia = i(i <= na);
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84 ib = i(i > na) - na;
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85 endif
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86
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87 endfunction
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88
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89 %!assert(all (all (union ([1, 2, 4], [2, 3, 5]) == [1, 2, 3, 4, 5])));
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90
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91 %!assert(all (all (union ([1; 2; 4], [2, 3, 5]) == [1, 2, 3, 4, 5])));
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92
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93 %!assert(all (all (union ([1, 2, 3], [5; 7; 9]) == [1, 2, 3, 5, 7, 9])));
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94
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95 %!error union (1);
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96
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97 %!error union (1, 2, 3);
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98
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99 %!test
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100 %! a = [3, 1, 4, 1, 5]; b = [1, 2, 3, 4];
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101 %! [y, ia, ib] = union (a, b.');
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102 %! assert(y, [1, 2, 3, 4, 5]);
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103 %! assert(y, sort([a(ia), b(ib)]));