annotate scripts/set/ismember.m @ 9345:dbc61d4e428d

optimize ismember
author Jaroslav Hajek <highegg@gmail.com>
date Sun, 14 Jun 2009 11:57:52 +0200
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1 ## Copyright (C) 2000, 2005, 2006, 2007, 2008, 2009 Paul Kienzle
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2 ## Copyright (C) 2009 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} {[@var{tf} =} ismember (@var{A}, @var{S})
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22 ## @deftypefnx {Function File} {[@var{tf}, @var{S_idx}] =} ismember (@var{A}, @var{S})
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23 ## @deftypefnx {Function File} {[@var{tf}, @var{S_idx}] =} ismember (@var{A}, @var{S}, "rows")
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24 ## Return a matrix @var{tf} with the same shape as @var{A} which has a 1 if
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25 ## @code{A(i,j)} is in @var{S} and 0 if it is not. If a second output argument
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26 ## is requested, the index into @var{S} of each of the matching elements is
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27 ## also returned.
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28 ##
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29 ## @example
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30 ## @group
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31 ## a = [3, 10, 1];
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32 ## s = [0:9];
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33 ## [tf, s_idx] = ismember (a, s);
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34 ## @result{} tf = [1, 0, 1]
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35 ## @result{} s_idx = [4, 0, 2]
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36 ## @end group
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37 ## @end example
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38 ##
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39 ## The inputs, @var{A} and @var{S}, may also be cell arrays.
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40 ##
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41 ## @example
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42 ## @group
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43 ## a = @{'abc'@};
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44 ## s = @{'abc', 'def'@};
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45 ## [tf, s_idx] = ismember (a, s);
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46 ## @result{} tf = [1, 0]
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47 ## @result{} s_idx = [1, 0]
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48 ## @end group
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49 ## @end example
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50 ##
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51 ## With the optional third argument @code{"rows"}, and matrices
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52 ## @var{A} and @var{S} with the same number of columns, compare rows in
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53 ## @var{A} with the rows in @var{S}.
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54 ##
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55 ## @example
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56 ## @group
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57 ## a = [1:3; 5:7; 4:6];
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58 ## s = [0:2; 1:3; 2:4; 3:5; 4:6];
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59 ## [tf, s_idx] = ismember(a, s, 'rows');
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60 ## @result{} tf = logical ([1; 0; 1])
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61 ## @result{} s_idx = [2; 0; 5];
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62 ## @end group
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63 ## @end example
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64 ##
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65 ## @seealso{unique, union, intersect, setxor, setdiff}
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66 ## @end deftypefn
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67
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68 ## Author: Paul Kienzle <pkienzle@users.sf.net>
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69 ## Author: Søren Hauberg <hauberg@gmail.com>
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70 ## Author: Ben Abbott <bpabbott@mac.com>
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71 ## Adapted-by: jwe
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72 ## Reimplemented using lookup & unique: Jaroslav Hajek <highegg@gmail.com>
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73
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74 function [tf, a_idx] = ismember (a, s, rows_opt)
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75
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76 if (nargin == 2)
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77 ica = iscellstr (a);
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78 ics = iscellstr (s);
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79 if (ica || ics)
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80 if (ica && ischar (s))
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81 s = cellstr (s);
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82 elseif (ics && ischar (a))
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83 a = cellstr (a);
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84 elseif (! (ica && ics))
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85 error ("ismember: invalid argument types");
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86 endif
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87 elseif (! isa (a, class (s)))
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88 error ("ismember: both input arguments must be the same type");
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89 elseif (! ischar (a) && ! isnumeric (a))
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90 error ("ismember: input arguments must be arrays, cell arrays, or strings");
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91 endif
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92
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93 s = s(:);
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94 ## We do it this way, because we expect the array to be often sorted.
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95 if (issorted (s))
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96 is = [];
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97 else
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98 [s, is] = sort (s);
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99 endif
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100
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101 if (nargout > 1)
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102 a_idx = lookup (s, a, "m");
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103 tf = logical (a_idx);
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104 if (! isempty (is))
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105 a_idx(tf) = is (a_idx(tf));
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106 endif
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107 else
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108 tf = lookup (s, a, "b");
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109 endif
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110
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111 elseif (nargin == 3 && strcmpi (rows_opt, "rows"))
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112 if (iscell (a) || iscell (s))
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113 error ("ismember: cells not supported with ""rows""");
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114 elseif (! isa (a, class (s)))
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115 error ("ismember: both input arguments must be the same type");
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116 elseif (! ischar (a) && ! isnumeric (a))
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117 error ("ismember: input arguments must be arrays, cell arrays, or strings");
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118 endif
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119 if (columns (a) != columns (s))
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120 error ("ismember: number of columns must match");
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121 endif
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122
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123 ## FIXME: lookup does not support "rows", so we just use unique.
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124 [xx, ii, jj] = unique ([a; s], "rows", "last");
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125 na = rows (a);
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126 jj = ii(jj(1:na));
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127 tf = jj > na;
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128
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129 if (nargout > 1)
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130 a_idx = max (0, jj - na);
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131 endif
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132
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133 else
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134 print_usage ();
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135 endif
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136
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137 endfunction
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138
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139 %!assert (ismember ({''}, {'abc', 'def'}), false);
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140 %!assert (ismember ('abc', {'abc', 'def'}), true);
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141 %!assert (isempty (ismember ([], [1, 2])), true);
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142 %!assert (isempty (ismember ({}, {'a', 'b'})), true);
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143 %!assert (ismember ('', {'abc', 'def'}), false);
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144 %!fail ('ismember ([], {1, 2})');
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145 %!fail ('ismember ({[]}, {1, 2})');
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146 %!fail ('ismember ({}, {1, 2})');
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147 %!fail ('ismember ({1}, {''1'', ''2''})');
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148 %!fail ('ismember (1, ''abc'')');
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149 %!fail ('ismember ({''1''}, {''1'', ''2''},''rows'')');
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150 %!fail ('ismember ([1 2 3], [5 4 3 1], ''rows'')');
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151 %!assert (ismember ({'foo', 'bar'}, {'foobar'}), logical ([0, 0]));
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152 %!assert (ismember ({'foo'}, {'foobar'}), false);
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153 %!assert (ismember ({'bar'}, {'foobar'}), false);
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154 %!assert (ismember ({'bar'}, {'foobar', 'bar'}), true);
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155 %!assert (ismember ({'foo', 'bar'}, {'foobar', 'bar'}), logical ([0, 1]));
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156 %!assert (ismember ({'xfb', 'f', 'b'}, {'fb', 'b'}), logical ([0, 0, 1]));
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157 %!assert (ismember ("1", "0123456789."), true);
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158
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159 %!test
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160 %! [result, a_idx] = ismember ([1, 2], []);
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161 %! assert (result, logical ([0, 0]))
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162 %! assert (a_idx, [0, 0]);
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163
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164 %!test
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165 %! [result, a_idx] = ismember ([], [1, 2]);
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166 %! assert (result, logical ([]))
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167 %! assert (a_idx, []);
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168
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169 %!test
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170 %! [result, a_idx] = ismember ({'a', 'b'}, '');
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171 %! assert (result, logical ([0, 0]))
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172 %! assert (a_idx, [0, 0]);
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173
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174 %!test
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175 %! [result, a_idx] = ismember ({'a', 'b'}, {});
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176 %! assert (result, logical ([0, 0]))
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177 %! assert (a_idx, [0, 0]);
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178
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179 %!test
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180 %! [result, a_idx] = ismember ('', {'a', 'b'});
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181 %! assert (result, false)
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182 %! assert (a_idx, 0);
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183
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184 %!test
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185 %! [result, a_idx] = ismember ({}, {'a', 'b'});
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186 %! assert (result, logical ([]))
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187 %! assert (a_idx, []);
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188
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189 %!test
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190 %! [result, a_idx] = ismember([1 2 3 4 5], [3]);
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191 %! assert (all (result == logical ([0 0 1 0 0])) && all (a_idx == [0 0 1 0 0]));
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192
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193 %!test
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194 %! [result, a_idx] = ismember([1 6], [1 2 3 4 5 1 6 1]);
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195 %! assert (all (result == logical ([1 1])) && a_idx(2) == 7);
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196
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197 %!test
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198 %! [result, a_idx] = ismember ([3,10,1], [0,1,2,3,4,5,6,7,8,9]);
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199 %! assert (all (result == logical ([1, 0, 1])) && all (a_idx == [4, 0, 2]));
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200
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201 %!test
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202 %! [result, a_idx] = ismember ("1.1", "0123456789.1");
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203 %! assert (all (result == logical ([1, 1, 1])) && all (a_idx == [2, 11, 2]));
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204
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205 %!test
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206 %! [result, a_idx] = ismember([1:3; 5:7; 4:6], [0:2; 1:3; 2:4; 3:5; 4:6], 'rows');
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207 %! assert (all (result == logical ([1; 0; 1])) && all (a_idx == [2; 0; 5]));
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208
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209 %!test
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210 %! [result, a_idx] = ismember([1.1,1.2,1.3; 2.1,2.2,2.3; 10,11,12], [1.1,1.2,1.3; 10,11,12; 2.12,2.22,2.32], 'rows');
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211 %! assert (all (result == logical ([1; 0; 1])) && all (a_idx == [1; 0; 2]));
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212