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properly compress sparse matrices after assembly
author Jaroslav Hajek <highegg@gmail.com>
date Mon, 12 Apr 2010 12:57:44 +0200
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children fbd7843974fa
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John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 2008, 2009 Jaroslav Hajek
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2 ## Copyright (C) 1994, 1996, 1997, 1999, 2000, 2003, 2004, 2005, 2006,
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3 ## 2007 John W. Eaton
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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}. @var{a}, @var{b} may be cell arrays of string(s).
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26 ## For example,
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27 ##
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28 ## @example
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29 ## @group
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30 ## union ([1, 2, 4], [2, 3, 5])
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31 ## @result{} [1, 2, 3, 4, 5]
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32 ## @end group
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33 ## @end example
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34 ##
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35 ## If the optional third input argument is the string "rows" each row of
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36 ## the matrices @var{a} and @var{b} will be considered an element of sets.
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37 ## For example,
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38 ## @example
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39 ## @group
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40 ## union([1, 2; 2, 3], [1, 2; 3, 4], "rows")
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41 ## @result{} 1 2
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42 ## 2 3
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43 ## 3 4
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44 ## @end group
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45 ## @end example
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46 ##
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47 ## @deftypefnx {Function File} {[@var{c}, @var{ia}, @var{ib}] =} union (@var{a}, @var{b})
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48 ##
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49 ## Return index vectors @var{ia} and @var{ib} such that @code{a(ia)} and @code{b(ib)} are
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50 ## disjoint sets whose union is @var{c}.
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51 ##
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52 ## @seealso{intersect, complement, unique}
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53 ## @end deftypefn
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54
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55 ## Author: jwe
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56
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57 function [y, ia, ib] = union (a, b, varargin)
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58
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59 if (nargin < 2 || nargin > 3)
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60 print_usage ();
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61 endif
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62
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63 [a, b] = validargs ("union", a, b, varargin{:});
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64
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65 if (nargin == 2)
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66 y = [a(:); b(:)];
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67 na = numel (a); nb = numel (b);
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68 if (size (a, 1) == 1 || size (b, 1) == 1)
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69 y = y.';
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70 endif
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71 else
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72 y = [a; b];
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73 na = rows (a); nb = rows (b);
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74 endif
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75
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76 if (nargout == 1)
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77 y = unique (y, varargin{:});
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78 else
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79 [y, i] = unique (y, varargin{:});
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80 ia = i(i <= na);
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81 ib = i(i > na) - na;
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82 endif
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83
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84 endfunction
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85
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86 %!assert(all (all (union ([1, 2, 4], [2, 3, 5]) == [1, 2, 3, 4, 5])));
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87
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88 %!assert(all (all (union ([1; 2; 4], [2, 3, 5]) == [1, 2, 3, 4, 5])));
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89
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90 %!assert(all (all (union ([1, 2, 3], [5; 7; 9]) == [1, 2, 3, 5, 7, 9])));
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91
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92 %!error union (1);
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93
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94 %!error union (1, 2, 3);
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95
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96 %!test
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97 %! a = [3, 1, 4, 1, 5]; b = [1, 2, 3, 4];
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98 %! [y, ia, ib] = union (a, b.');
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99 %! assert(y, [1, 2, 3, 4, 5]);
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100 %! assert(y, sort([a(ia), b(ib)]));