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improve set functions for Matlab compatibility
author Jaroslav Hajek <highegg@gmail.com>
date Fri, 16 Jan 2009 08:10:28 +0100
parents a1dbe9d80eee
children cadc73247d65
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1 ## Copyright (C) 2000, 2006, 2007 Paul Kienzle
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2 ## Copyright (C) 2008 Jaroslav Hajek
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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} {} setxor (@var{a}, @var{b})
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22 ## @deftypefnx {Function File} {} setxor (@var{a}, @var{b}, 'rows')
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23 ##
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24 ## Return the elements exclusive to @var{a} or @var{b}, sorted in ascending
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25 ## order. If @var{a} and @var{b} are both column vectors return a column
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26 ## vector, otherwise return a row vector.
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27 ##
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28 ## @deftypefnx {Function File} {[@var{c}, @var{ia}, @var{ib}] =} setxor (@var{a}, @var{b})
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29 ##
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30 ## Return index vectors @var{ia} and @var{ib} such that @code{a==c(ia)} and
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31 ## @code{b==c(ib)}.
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32 ##
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33 ## @seealso{unique, union, intersect, setdiff, ismember}
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34 ## @end deftypefn
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35
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36 function [c, ia, ib] = setxor (a, b, varargin)
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37
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38 if (nargin < 2 || nargin > 3)
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39 print_usage ();
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40 endif
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41
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42 if (nargin == 3 && ! strcmpi (varargin{1}, "rows"))
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43 error ("setxor: if a third input argument is present, it must be the string 'rows'");
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44 endif
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45
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46 ## Form A and B into sets.
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47 if (nargout > 1)
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48 [a, ia] = unique (a, varargin{:});
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49 [b, ib] = unique (b, varargin{:});
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50 else
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51 a = unique (a, varargin{:});
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52 b = unique (b, varargin{:});
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53 endif
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54
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55 if (isempty (a))
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56 c = b;
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57 elseif (isempty (b))
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58 c = a;
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59 else
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60 ## Reject duplicates.
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61 if (nargin > 2)
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62 na = rows (a); nb = rows (b);
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63 [c, i] = sortrows ([a; b]);
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64 n = rows (c);
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65 idx = find (all (c(1:n-1) == c(2:n), 2));
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66 if (! isempty (idx))
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67 c([idx, idx+1],:) = [];
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68 i([idx, idx+1],:) = [];
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69 endif
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70 else
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71 na = numel (a); nb = numel (b);
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72 [c, i] = sort ([a(:); b(:)]);
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73 n = length (c);
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74 idx = find (c(1:n-1) == c(2:n));
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75 if (! isempty (idx))
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76 c([idx, idx+1]) = [];
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77 i([idx, idx+1]) = [];
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78 endif
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79 if (size (a, 1) == 1 || size (b, 1) == 1)
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80 c = c.';
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81 endif
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82 endif
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83 endif
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84 if (nargout > 1)
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85 ia = ia(i(i <= na));
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86 ib = ib(i(i > na) - na);
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87 endif
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88
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89 endfunction
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90
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91 %!assert(setxor([1,2,3],[2,3,4]),[1,4])
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92 %!test
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93 %! a = [3, 1, 4, 1, 5]; b = [1, 2, 3, 4];
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94 %! [y, ia, ib] = setxor (a, b.');
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95 %! assert(y, [2, 5]);
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96 %! assert(y, sort([a(ia), b(ib)]));