annotate scripts/set/setxor.m @ 19974:72ccbd36e23c

Return a column vector by default for Matlab compatibility (bug #44425, bug #44453). Document that only unique elements are returned from set functions. * NEWS: Announce change in default orientation of return values. * intersect.m, setdiff.m, setxor.m, union.m: Return a column vector by default unless the input is explicitly a row vector. Change docstring to note that only unique, non-duplicative elements are returned.
author Rik <rik@octave.org>
date Fri, 20 Mar 2015 18:23:01 -0700
parents 4197fc428c7d
children c3b2ec6a1586
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1 ## Copyright (C) 2014-2015 Julien Bect
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2 ## Copyright (C) 2008-2015 Jaroslav Hajek
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3 ## Copyright (C) 2000, 2006-2007 Paul Kienzle
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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 the
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9 ## 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 WITHOUT
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13 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 ## 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} {@var{c} =} setxor (@var{a}, @var{b})
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23 ## @deftypefnx {Function File} {@var{c} =} setxor (@var{a}, @var{b}, "rows")
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24 ## @deftypefnx {Function File} {[@var{c}, @var{ia}, @var{ib}] =} setxor (@dots{})
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25 ##
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26 ## Return the unique elements exclusive to sets @var{a} or @var{b} sorted in
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27 ## ascending order.
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28 ##
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29 ## If @var{a} and @var{b} are both row vectors then return a row vector;
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30 ## Otherwise, return a column vector. The inputs may also be cell arrays of
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31 ## strings.
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32 ##
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33 ## If the optional input @qcode{"rows"} is given then return the rows exclusive
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34 ## to sets @var{a} and @var{b}. The inputs must be 2-D matrices to use this
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35 ## option.
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36 ##
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37 ## If requested, return index vectors @var{ia} and @var{ib} such that
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38 ## @code{@var{a}(@var{ia})} and @code{@var{b}(@var{ib})} are disjoint sets
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39 ## whose union is @var{c}.
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40 ##
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41 ## @seealso{unique, union, intersect, setdiff, ismember}
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42 ## @end deftypefn
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43
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44 function [c, ia, ib] = setxor (a, b, varargin)
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45
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46 if (nargin < 2 || nargin > 3)
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47 print_usage ();
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48 endif
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49
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50 [a, b] = validsetargs ("setxor", a, b, varargin{:});
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51
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52 by_rows = nargin == 3;
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53 isrowvec = isvector (a) && isvector (b) && isrow (a) && isrow (b);
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54
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55 ## Form A and B into sets.
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56 if (nargout > 1)
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57 [a, ia] = unique (a, varargin{:});
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58 [b, ib] = unique (b, varargin{:});
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59 else
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60 a = unique (a, varargin{:});
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61 b = unique (b, varargin{:});
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62 endif
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63
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64 if (isempty (a))
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65 c = b;
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66 elseif (isempty (b))
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67 c = a;
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68 else
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69 ## Reject duplicates.
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70 if (by_rows)
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71 na = rows (a); nb = rows (b);
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72 [c, i] = sortrows ([a; b]);
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73 n = rows (c);
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74 idx = find (all (c(1:n-1, :) == c(2:n, :), 2));
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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 else
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80 na = numel (a); nb = numel (b);
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81 [c, i] = sort ([a(:); b(:)]);
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82 n = length (c);
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83 if (iscell (c))
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84 idx = find (strcmp (c(1:n-1), c(2:n)));
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85 else
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86 idx = find (c(1:n-1) == c(2:n));
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87 endif
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88 if (! isempty (idx))
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89 c([idx, idx+1]) = [];
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90 i([idx, idx+1]) = [];
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91 endif
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92
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93 ## Adjust output orientation for Matlab compatibility
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94 if (isrowvec)
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95 c = c.';
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96 endif
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97 endif
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98
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99 if (nargout > 1)
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100 ia = ia(i(i <= na));
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101 ib = ib(i(i > na) - na);
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102 endif
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103 endif
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104
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105 endfunction
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106
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107
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108 %!assert (setxor ([1,2,3], [2,3,4]), [1,4])
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109 %!assert (setxor ({'a'}, {'a', 'b'}), {'b'})
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110
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111 %!test
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112 %! a = [3, 1, 4, 1, 5];
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113 %! b = [1, 2, 3, 4];
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114 %! [c, ia, ib] = setxor (a, b.');
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115 %! assert (c, [2; 5]);
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116 %! assert (c, sort ([a(ia)'; b(ib)']));
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117
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118 %!test
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119 %! a = [1 2; 4 5; 1 3];
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120 %! b = [1 1; 1 2; 4 5; 2 10];
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121 %! [c, ia, ib] = setxor (a, b, "rows");
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122 %! assert (c, [1 1; 1 3; 2 10]);
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123 %! assert (c, sortrows ([a(ia,:); b(ib,:)]));
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124
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125 %!assert (setxor (1, []), 1)
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126 %!assert (setxor ([], 1), 1)
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127
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128 %!test
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129 %! [c, ia, ib] = setxor (1, []);
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130 %! assert (c, 1);
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131 %! assert (ia, 1);
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132 %! assert (isempty (ib));
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133
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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134 %!test
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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135 %! [c, ia, ib] = setxor ([], 1);
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parents: 19003
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136 %! assert (c, 1);
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parents: 19003
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137 %! assert (isempty (ia));
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parents: 19003
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138 %! assert (ib, 1);
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parents: 19003
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139
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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140 %!test
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
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141 %! a = [2 1; 4 3]; b = [];
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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142 %! [c, ia, ib] = setxor (a, b);
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
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143 %! assert (c, [1; 2; 3; 4]);
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
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144 %! assert (ia, [3; 1; 4; 2]);
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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145 %! assert (isempty (ib));
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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146
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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147 %!test
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
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148 %! a = []; b = [2 1; 4 3];
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parents: 19003
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149 %! [c, ia, ib] = setxor (a, b);
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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150 %! assert (c, [1; 2; 3; 4]);
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parents: 19003
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151 %! assert (isempty (ia));
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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152 %! assert (ib, [3; 1; 4; 2]);
19003
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Rik <rik@octave.org>
parents: 18081
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153 ## Test orientation of output
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Rik <rik@octave.org>
parents: 18081
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154 %!shared x,y
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Rik <rik@octave.org>
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155 %! x = 1:3;
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Rik <rik@octave.org>
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156 %! y = 2:5;
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157
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parents: 18081
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158 %!assert (size (setxor (x, y)), [1 3])
19974
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Rik <rik@octave.org>
parents: 19697
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159 %!assert (size (setxor (x', y)), [3 1])
72ccbd36e23c Return a column vector by default for Matlab compatibility (bug #44425, bug #44453).
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parents: 19697
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160 %!assert (size (setxor (x, y')), [3 1])
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Rik <rik@octave.org>
parents: 18081
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161 %!assert (size (setxor (x', y')), [3 1])
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Rik <rik@octave.org>
parents: 18081
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162
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Rik <rik@octave.org>
parents: 18081
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163 ## Test multi-dimensional arrays
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Rik <rik@octave.org>
parents: 18081
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164 %!test
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Rik <rik@octave.org>
parents: 18081
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165 %! a = rand (3,3,3);
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Rik <rik@octave.org>
parents: 18081
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166 %! b = a;
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Rik <rik@octave.org>
parents: 18081
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167 %! b(1,1,1) = 2;
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Rik <rik@octave.org>
parents: 19697
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168 %! assert (intersect (a, b), sort (a(2:end)'));
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parents: 18081
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169