annotate scripts/set/setxor.m @ 33614:7f7d6bc5702b default tip @

maint: merge stable to default
author Rik <rik@octave.org>
date Mon, 20 May 2024 09:12:08 -0700
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children
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2006-2024 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{c} =} setxor (@var{a}, @var{b})
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28 ## @deftypefnx {} {@var{c} =} setxor (@var{a}, @var{b}, "rows")
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29 ## @deftypefnx {} {@var{c} =} setxor (@dots{}, "sorted")
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30 ## @deftypefnx {} {@var{c} =} setxor (@dots{}, "stable")
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31 ## @deftypefnx {} {@var{c} =} setxor (@dots{}, "legacy")
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32 ## @deftypefnx {} {[@var{c}, @var{ia}, @var{ib}] =} setxor (@dots{})
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33 ##
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34 ## Return the unique elements exclusive to sets @var{a} or @var{b}.
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35 ##
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36 ## If @var{a} and @var{b} are both row vectors then return a row vector;
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37 ## Otherwise, return a column vector. The inputs may also be cell arrays of
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38 ## strings.
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39 ##
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40 ## If the optional input @qcode{"rows"} is given then return the rows exclusive
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41 ## to sets @var{a} and @var{b}. The inputs must be 2-D numeric matrices to use
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42 ## this option.
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43 ##
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44 ## The optional argument @qcode{"sorted"}/@qcode{"stable"} controls the order
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45 ## in which unique values appear in the output. The default is
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46 ## @qcode{"sorted"} and values in the output are placed in ascending order.
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47 ## The alternative @qcode{"stable"} preserves the order found in the input.
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48 ##
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49 ## The optional outputs @var{ia} and @var{ib} are column index vectors such
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50 ## that @code{@var{a}(@var{ia})} and @code{@var{b}(@var{ib})} are disjoint sets
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51 ## whose union is @var{c}.
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52 ##
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53 ## Programming Note: The input flag @qcode{"legacy"} changes the algorithm
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54 ## to be compatible with @sc{matlab} releases prior to R2012b.
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55 ##
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56 ## @seealso{unique, union, intersect, setdiff, ismember}
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57 ## @end deftypefn
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58
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59 function [c, ia, ib] = setxor (a, b, varargin)
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60
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61 if (nargin < 2 || nargin > 4)
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62 print_usage ();
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63 endif
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64
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65 [a, b] = validsetargs ("setxor", a, b, varargin{:});
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66
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67 by_rows = any (strcmp ("rows", varargin));
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68 optsorted = ! any (strcmp ("stable", varargin));
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69 optlegacy = any (strcmp ("legacy", varargin));
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70
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71 if (optlegacy)
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72 isrowvec = ! iscolumn (a) || ! iscolumn (b);
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73 else
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74 isrowvec = isrow (a) && isrow (b);
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75 endif
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76
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77 ## Form A and B into sets.
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78 if (nargout > 1 || ! optsorted)
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79 [a, ia] = unique (a, varargin{:});
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80 [b, ib] = unique (b, varargin{:});
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81 else
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82 a = unique (a, varargin{:});
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83 b = unique (b, varargin{:});
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84 endif
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85
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86 if (isempty (a))
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87 c = b;
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88 elseif (isempty (b))
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89 c = a;
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90 else
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91 ## Reject duplicates.
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92 if (by_rows)
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93 na = rows (a); nb = rows (b);
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94 [c, i] = sortrows ([a; b]);
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95 n = rows (c);
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96 idx = find (all (c(1:n-1, :) == c(2:n, :), 2));
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97 if (optsorted)
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98 if (! isempty (idx))
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99 c([idx, idx+1],:) = [];
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100 i([idx, idx+1],:) = [];
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101 endif
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102 else
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103 c = [a; b];
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104 c(i([idx, idx+1]), :) = [];
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105 if (nargout > 1)
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106 i([idx, idx+1]) = [];
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107 ## FIXME: Is there a way to avoid a call to sort?
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108 i = sort (i);
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109 endif
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110 endif
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111 else
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112 na = numel (a); nb = numel (b);
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113 [c, i] = sort ([a(:); b(:)]);
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114 if (iscell (c))
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115 idx = find (strcmp (c(1:end-1), c(2:end)));
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116 else
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117 idx = find (c(1:end-1) == c(2:end));
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118 endif
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119 if (optsorted)
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120 if (! isempty (idx))
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121 c([idx, idx+1]) = [];
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122 i([idx, idx+1]) = [];
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123 endif
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124 else
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125 c = [a(:); b(:)];
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126 c(i([idx, idx+1])) = [];
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127 if (nargout > 1)
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128 i([idx, idx+1]) = [];
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129 ## FIXME: Is there a way to avoid a call to sort?
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130 i = sort (i);
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131 endif
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132 endif
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133
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134 ## Adjust output orientation for Matlab compatibility
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135 if (isrowvec)
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136 c = c.';
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137 endif
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138 endif
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139
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140 if (nargout > 1)
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141 ia = ia(i(i <= na));
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142 ib = ib(i(i > na) - na);
29190
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143 if (optlegacy && isrowvec && ! by_rows)
27238
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144 ia = ia(:).';
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145 ib = ib(:).';
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146 endif
19157
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147 endif
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148 endif
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149
5825
f3e37beb03aa [project @ 2006-05-19 16:13:52 by jwe]
jwe
parents:
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150 endfunction
f3e37beb03aa [project @ 2006-05-19 16:13:52 by jwe]
jwe
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151
14363
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Rik <octave@nomad.inbox5.com>
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152
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153 %!assert (setxor ([3,1,2], [4,3,2]), [1,4])
14363
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154 %!assert (setxor ({'a'}, {'a', 'b'}), {'b'})
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155 %!assert (setxor ([5, NaN, NaN], [NaN, NaN, 5]), [NaN NaN NaN NaN])
18081
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156
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157 %!test
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158 %! a = [3, 1, 4, 1, 5];
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159 %! b = [1; 2; 3; 4];
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160 %! [c, ia, ib] = setxor (a, b);
19974
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161 %! assert (c, [2; 5]);
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162 %! assert (ia, [5]);
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163 %! assert (ib, [2]);
9498
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Pieter Eendebak <pieter.eendebak@gmail.com>
parents: 9481
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164
27296
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165 ## Test multi-dimensional arrays
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166 %!test
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167 %! a = rand (3,3,3);
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168 %! b = a;
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169 %! b(1,1,1) = 2;
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170 %! assert (intersect (a, b), sort (a(2:end)'));
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171
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172 ## Test "rows" input
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173 %!test
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174 %! a = [1 2; 4 5; 1 3];
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175 %! b = [1 1; 1 2; 4 5; 2 10];
18081
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176 %! [c, ia, ib] = setxor (a, b, "rows");
42df174ec2ff setxor.m: Fix bug when "rows" argument given (bug #40808).
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177 %! assert (c, [1 1; 1 3; 2 10]);
27294
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178 %! assert (ia, [3]);
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179 %! assert (ib, [1; 4]);
18081
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180
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181 ## Test "stable" sort order
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182 %!test
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183 %! a = [3, 1, 4, 1, 5];
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184 %! b = [1; 2; 3; 4];
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185 %! [c, ia, ib] = setxor (a, b, "stable");
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186 %! assert (c, [5; 2]);
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Rik <rik@octave.org>
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diff changeset
187 %! assert (ia, [5]);
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Rik <rik@octave.org>
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188 %! assert (ib, [2]);
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189
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diff changeset
190 %!test
aa4147476138 setxor.m: Add new option "stable" to control output ordering.
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191 %! a = [1 2; 4 5; 1 3];
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192 %! b = [1 1; 1 2; 4 5; 2 10];
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193 %! [c, ia, ib] = setxor (a, b, "rows", "stable");
aa4147476138 setxor.m: Add new option "stable" to control output ordering.
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194 %! assert (c, [1 3; 1 1; 2 10]);
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195 %! assert (ia, [3]);
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196 %! assert (ib, [1; 4]);
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197
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198 ## Test various empty matrix inputs
19157
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
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199 %!assert (setxor (1, []), 1)
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200 %!assert (setxor ([], 1), 1)
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diff changeset
201
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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202 %!test
27294
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203 %! [c, ia, ib] = setxor ([3 1], []);
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204 %! assert (c, [1 3]);
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Rik <rik@octave.org>
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205 %! assert (ia, [2; 1]);
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diff changeset
206 %! assert (ib, []);
19157
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Julien Bect <julien.bect@supelec.fr>
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207 %!test
27294
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208 %! [c, ia, ib] = setxor ([], [3 1]);
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Rik <rik@octave.org>
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diff changeset
209 %! assert (c, [1 3]);
aa4147476138 setxor.m: Add new option "stable" to control output ordering.
Rik <rik@octave.org>
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diff changeset
210 %! assert (ia, []);
aa4147476138 setxor.m: Add new option "stable" to control output ordering.
Rik <rik@octave.org>
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diff changeset
211 %! assert (ib, [2; 1]);
19157
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Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
212
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
213 %!test
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
214 %! a = [2 1; 4 3]; b = [];
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
215 %! [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
diff changeset
216 %! 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
diff changeset
217 %! assert (ia, [3; 1; 4; 2]);
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
218 %! assert (isempty (ib));
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
219
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
220 %!test
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
221 %! a = []; b = [2 1; 4 3];
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
222 %! [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
diff changeset
223 %! 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
diff changeset
224 %! assert (isempty (ia));
d171e23cac81 setxor.m: Fix bug with empty set input and multiple outputs (bug #43140).
Julien Bect <julien.bect@supelec.fr>
parents: 19003
diff changeset
225 %! assert (ib, [3; 1; 4; 2]);
27294
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226
19003
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227 ## Test orientation of output
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Rik <rik@octave.org>
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diff changeset
228 %!shared x,y
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229 %! x = 1:3;
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230 %! y = 2:5;
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diff changeset
231
d00f6b09258f Overhaul functions in scripts/set directory.
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diff changeset
232 %!assert (size (setxor (x, y)), [1 3])
19974
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233 %!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
diff changeset
234 %!assert (size (setxor (x, y')), [3 1])
19003
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diff changeset
235 %!assert (size (setxor (x', y')), [3 1])
29190
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diff changeset
236 %!assert (size (setxor (x, y, "legacy")), [1, 3])
7f11d59e3af8 Fix incorrect results for set functions with "legacy" option (bug #59708).
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diff changeset
237 %!assert (size (setxor (x', y, "legacy")), [1, 3])
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diff changeset
238 %!assert (size (setxor (x, y', "legacy")), [1, 3])
7f11d59e3af8 Fix incorrect results for set functions with "legacy" option (bug #59708).
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parents: 27923
diff changeset
239 %!assert (size (setxor (x', y', "legacy")), [3, 1])
19003
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240
27238
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
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diff changeset
241 ## Test "legacy" input
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
242 %!test
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
243 %! a = [5 1 3 3 3];
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
244 %! b = [4 1 2 2];
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
245 %! [c,ia,ib] = setxor (a,b);
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
246 %! assert (c, [2, 3, 4, 5]);
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
247 %! assert (ia, [3; 1]);
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
248 %! assert (ib, [3; 1]);
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
parents: 26376
diff changeset
249 %! [c,ia,ib] = setxor (a,b, "legacy");
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
250 %! assert (c, [2, 3, 4, 5]);
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
251 %! assert (ia, [5, 1]);
177be3c01238 setxor.m: Accept a "legacy" flag for Matlab compatibility.
Rik <rik@octave.org>
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diff changeset
252 %! assert (ib, [4, 1]);
29190
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diff changeset
253
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Rik <rik@octave.org>
parents: 27923
diff changeset
254 %!test # "legacy" + "rows"
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diff changeset
255 %! A = [1 2; 3 4; 5 6; 3 4; 7 8];
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Rik <rik@octave.org>
parents: 27923
diff changeset
256 %! B = [3 4; 7 8; 9 10];
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Rik <rik@octave.org>
parents: 27923
diff changeset
257 %! [c, ia, ib] = setxor (A, B, "rows");
7f11d59e3af8 Fix incorrect results for set functions with "legacy" option (bug #59708).
Rik <rik@octave.org>
parents: 27923
diff changeset
258 %! assert (c, [1, 2; 5, 6; 9, 10]);
7f11d59e3af8 Fix incorrect results for set functions with "legacy" option (bug #59708).
Rik <rik@octave.org>
parents: 27923
diff changeset
259 %! assert (ia, [1; 3]);
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Rik <rik@octave.org>
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diff changeset
260 %! assert (ib, [3]);
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Rik <rik@octave.org>
parents: 27923
diff changeset
261 %! [c, ia, ib] = setxor (A, B, "rows", "legacy");
7f11d59e3af8 Fix incorrect results for set functions with "legacy" option (bug #59708).
Rik <rik@octave.org>
parents: 27923
diff changeset
262 %! assert (c, [1, 2; 5, 6; 9, 10]);
7f11d59e3af8 Fix incorrect results for set functions with "legacy" option (bug #59708).
Rik <rik@octave.org>
parents: 27923
diff changeset
263 %! assert (ia, [1; 3]);
7f11d59e3af8 Fix incorrect results for set functions with "legacy" option (bug #59708).
Rik <rik@octave.org>
parents: 27923
diff changeset
264 %! assert (ib, [3]);