annotate scripts/set/ismember.m @ 10509:ddbd812d09aa

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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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, varargin)
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75
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76 if (nargin < 2 || nargin > 3)
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77 print_usage ();
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78 endif
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79
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80 [a, s] = validargs ("ismember", a, s, varargin{:});
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81
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82 if (nargin == 2)
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83 s = s(:);
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84 ## We do it this way, because we expect the array to be often sorted.
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85 if (issorted (s))
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86 is = [];
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87 else
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88 [s, is] = sort (s);
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89 endif
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90
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91 ## sort out NaNs in table
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92 if (isreal (s) && ! isempty (s) && isnan (s(end)))
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93 s = s(1:end - sum (isnan (s)));
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94 endif
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95
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96 if (nargout > 1)
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97 a_idx = lookup (s, a, "m");
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98 tf = logical (a_idx);
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99 if (! isempty (is))
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100 a_idx(tf) = is (a_idx(tf));
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101 endif
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102 else
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103 tf = lookup (s, a, "b");
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104 endif
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105
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106 else
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107
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108 if (isempty (a) || isempty (s))
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109 tf = false (rows (a), 1);
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110 a_idx = zeros (rows (a), 1);
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111 else
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112
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113 ## FIXME: lookup does not support "rows", so we just use unique.
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114 [xx, ii, jj] = unique ([a; s], "rows", "last");
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115 na = rows (a);
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116 jj = ii(jj(1:na));
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117 tf = jj > na;
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118
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119 if (nargout > 1)
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120 a_idx = max (0, jj - na);
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121 endif
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122
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123 endif
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124 endif
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125
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126 endfunction
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127
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128 %!assert (ismember ({''}, {'abc', 'def'}), false);
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129 %!assert (ismember ('abc', {'abc', 'def'}), true);
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130 %!assert (isempty (ismember ([], [1, 2])), true);
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131 %!assert (isempty (ismember ({}, {'a', 'b'})), true);
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132 %!assert (ismember ('', {'abc', 'def'}), false);
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133 %!fail ('ismember ([], {1, 2})');
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134 %!fail ('ismember ({[]}, {1, 2})');
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135 %!fail ('ismember ({}, {1, 2})');
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136 %!fail ('ismember ({1}, {''1'', ''2''})');
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137 %!fail ('ismember (1, ''abc'')');
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138 %!fail ('ismember ({''1''}, {''1'', ''2''},''rows'')');
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139 %!fail ('ismember ([1 2 3], [5 4 3 1], ''rows'')');
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140 %!assert (ismember ({'foo', 'bar'}, {'foobar'}), logical ([0, 0]));
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jwe
parents: 7077
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141 %!assert (ismember ({'foo'}, {'foobar'}), false);
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jwe
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142 %!assert (ismember ({'bar'}, {'foobar'}), false);
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jwe
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143 %!assert (ismember ({'bar'}, {'foobar', 'bar'}), true);
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jwe
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144 %!assert (ismember ({'foo', 'bar'}, {'foobar', 'bar'}), logical ([0, 1]));
73308b8f8777 [project @ 2007-11-08 03:55:04 by jwe]
jwe
parents: 7077
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145 %!assert (ismember ({'xfb', 'f', 'b'}, {'fb', 'b'}), logical ([0, 0, 1]));
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jwe
parents: 7077
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146 %!assert (ismember ("1", "0123456789."), true);
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147
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jwe
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148 %!test
7652
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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149 %! [result, a_idx] = ismember ([1, 2], []);
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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150 %! assert (result, logical ([0, 0]))
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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151 %! assert (a_idx, [0, 0]);
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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152
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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153 %!test
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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154 %! [result, a_idx] = ismember ([], [1, 2]);
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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155 %! assert (result, logical ([]))
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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156 %! assert (a_idx, []);
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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157
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
diff changeset
158 %!test
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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159 %! [result, a_idx] = ismember ({'a', 'b'}, '');
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
diff changeset
160 %! assert (result, logical ([0, 0]))
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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161 %! assert (a_idx, [0, 0]);
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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162
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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163 %!test
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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164 %! [result, a_idx] = ismember ({'a', 'b'}, {});
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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165 %! assert (result, logical ([0, 0]))
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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166 %! assert (a_idx, [0, 0]);
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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167
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
diff changeset
168 %!test
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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169 %! [result, a_idx] = ismember ('', {'a', 'b'});
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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170 %! assert (result, false)
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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171 %! assert (a_idx, 0);
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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172
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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173 %!test
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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174 %! [result, a_idx] = ismember ({}, {'a', 'b'});
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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175 %! assert (result, logical ([]))
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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176 %! assert (a_idx, []);
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
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177
b5731e43283a ismember: correctly size idx output for empty args
John W. Eaton <jwe@octave.org>
parents: 7129
diff changeset
178 %!test
7128
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jwe
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179 %! [result, a_idx] = ismember([1 2 3 4 5], [3]);
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jwe
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180 %! assert (all (result == logical ([0 0 1 0 0])) && all (a_idx == [0 0 1 0 0]));
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181
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182 %!test
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jwe
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183 %! [result, a_idx] = ismember([1 6], [1 2 3 4 5 1 6 1]);
9345
dbc61d4e428d optimize ismember
Jaroslav Hajek <highegg@gmail.com>
parents: 9276
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184 %! assert (all (result == logical ([1 1])) && a_idx(2) == 7);
7128
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185
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186 %!test
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187 %! [result, a_idx] = ismember ([3,10,1], [0,1,2,3,4,5,6,7,8,9]);
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188 %! assert (all (result == logical ([1, 0, 1])) && all (a_idx == [4, 0, 2]));
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189
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190 %!test
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191 %! [result, a_idx] = ismember ("1.1", "0123456789.1");
9364
6c255e51ef7e improve & fix ismember
Jaroslav Hajek <highegg@gmail.com>
parents: 9345
diff changeset
192 %! assert (all (result == logical ([1, 1, 1])) && all (a_idx == [12, 11, 12]));
7128
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193
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194 %!test
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195 %! [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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196 %! assert (all (result == logical ([1; 0; 1])) && all (a_idx == [2; 0; 5]));
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197
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198 %!test
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jwe
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199 %! [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');
73308b8f8777 [project @ 2007-11-08 03:55:04 by jwe]
jwe
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200 %! assert (all (result == logical ([1; 0; 1])) && all (a_idx == [1; 0; 2]));
73308b8f8777 [project @ 2007-11-08 03:55:04 by jwe]
jwe
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diff changeset
201