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annotate scripts/set/setxor.m @ 19195:d00f6b09258f

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Overhaul functions in scripts/set directory. * set.txi: Rewrite documentation for set functions. * intersect.m: Rewrite docstring. Use by_rows variable for code clarity. Return output orientation which is compatible with Matlab. Add %!tests for output orientation and N-dimensional inputs. * setdiff.m: Rewrite docstring. Use by_rows variable for code clarity. Rename output i to ia to clarify it is an index into the set a. Return output orientation which is compatible with Matlab. Add %!tests for N-dimensional inputs. * setxor.m: Rewrite docstring. Use by_rows variable for code clarity. Return output orientation which is compatible with Matlab. Add %!tests for output orientation and N-dimensional inputs. * union.m: Rewrite docstring. Use by_rows variable for code clarity. Return output orientation which is compatible with Matlab. Add %!tests for output orientation and N-dimensional inputs. Add %!tests for validsetargs which are common to all set functions. * unique.m: Rewrite docstring. Verify that input is numeric or cell array of strings. Avoid computing idx for optional i,j outputs unless required. Add %!error tests for input validation. * ismember.m: Rewrite docstring. Use input variable 'a' instead of 'A' for conformance with rest of set functions. Rename output index variable to s_idx for clarity that it is an index into the set s. * powerset.m: Rewrite doctring. Add input validation on nargin. Add %!error input validation tests. * module.mk: Include validsetargs.m in build system. * validsetargs.m: Function renamed from validargs which was too general. * validargs.m: Function renamed to validsetargs.
author Rik <rik@octave.org>
date Mon, 11 Aug 2014 09:39:45 -0700
parents 42df174ec2ff
children d171e23cac81
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1 ## Copyright (C) 2008-2013 Jaroslav Hajek
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2 ## Copyright (C) 2000, 2006-2007 Paul Kienzle
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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 the
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8 ## 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 WITHOUT
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12 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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13 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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14 ## 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{c} =} setxor (@var{a}, @var{b})
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22 ## @deftypefnx {Function File} {@var{c} =} setxor (@var{a}, @var{b}, "rows")
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23 ## @deftypefnx {Function File} {[@var{c}, @var{ia}, @var{ib}] =} setxor (@dots{})
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24 ##
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25 ## Return the elements exclusive to sets @var{a} or @var{b} sorted in
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26 ## ascending order.
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27 ##
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28 ## If @var{a} and @var{b} are both column vectors return a column vector;
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29 ## Otherwise, return a row vector. The inputs may also be cell arrays of
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30 ## strings.
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31 ##
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32 ## If the optional input @qcode{"rows"} is given then return the rows exclusive
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33 ## to sets @var{a} and @var{b}. The inputs must be 2-D matrices to use this
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34 ## option.
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35 ##
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36 ## If requested, return index vectors @var{ia} and @var{ib} such that
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37 ## @code{@var{a}(@var{ia})} and @code{@var{b}(@var{ib})} are disjoint sets
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38 ## whose union is @var{c}.
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39 ##
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40 ## @seealso{unique, union, intersect, setdiff, ismember}
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41 ## @end deftypefn
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42
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43 function [c, ia, ib] = setxor (a, b, varargin)
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44
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45 if (nargin < 2 || nargin > 3)
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46 print_usage ();
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47 endif
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48
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49 [a, b] = validsetargs ("setxor", a, b, varargin{:});
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50
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51 by_rows = nargin == 3;
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52 iscol = isvector (a) && isvector (b) && iscolumn (a) && iscolumn (b);
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53
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54 ## Form A and B into sets.
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55 if (nargout > 1)
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56 [a, ia] = unique (a, varargin{:});
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57 [b, ib] = unique (b, varargin{:});
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58 else
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59 a = unique (a, varargin{:});
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60 b = unique (b, varargin{:});
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61 endif
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62
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63 if (isempty (a))
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64 c = b;
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65 elseif (isempty (b))
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66 c = a;
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67 else
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68 ## Reject duplicates.
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69 if (by_rows)
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70 na = rows (a); nb = rows (b);
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71 [c, i] = sortrows ([a; b]);
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72 n = rows (c);
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73 idx = find (all (c(1:n-1, :) == c(2:n, :), 2));
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74 if (! isempty (idx))
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75 c([idx, idx+1],:) = [];
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76 i([idx, idx+1],:) = [];
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77 endif
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78 else
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79 na = numel (a); nb = numel (b);
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80 [c, i] = sort ([a(:); b(:)]);
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81 n = length (c);
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82 if (iscell (c))
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83 idx = find (strcmp (c(1:n-1), c(2:n)));
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84 else
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85 idx = find (c(1:n-1) == c(2:n));
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86 endif
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87 if (! isempty (idx))
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88 c([idx, idx+1]) = [];
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89 i([idx, idx+1]) = [];
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90 endif
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91
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92 ## Adjust output orientation for Matlab compatibility
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93 if (! iscol)
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94 c = c.';
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95 endif
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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
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104 endfunction
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105
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106
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107 %!assert (setxor ([1,2,3], [2,3,4]), [1,4])
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108 %!assert (setxor ({'a'}, {'a', 'b'}), {'b'})
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109
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110 %!test
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111 %! a = [3, 1, 4, 1, 5];
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112 %! b = [1, 2, 3, 4];
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113 %! [c, ia, ib] = setxor (a, b.');
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114 %! assert (c, [2, 5]);
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115 %! assert (c, sort ([a(ia), b(ib)]));
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116
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117 %!test
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118 %! a = [1 2; 4 5; 1 3];
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119 %! b = [1 1; 1 2; 4 5; 2 10];
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120 %! [c, ia, ib] = setxor (a, b, "rows");
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121 %! assert (c, [1 1; 1 3; 2 10]);
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122 %! assert (c, sortrows ([a(ia,:); b(ib,:)]));
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123
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124 ## Test orientation of output
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125 %!shared x,y
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126 %! x = 1:3;
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127 %! y = 2:5;
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128
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129 %!assert (size (setxor (x, y)), [1 3])
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130 %!assert (size (setxor (x', y)), [1 3])
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131 %!assert (size (setxor (x, y')), [1 3])
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132 %!assert (size (setxor (x', y')), [3 1])
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133
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Rik <rik@octave.org>
parents: 18081
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134 ## Test multi-dimensional arrays
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parents: 18081
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135 %!test
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136 %! a = rand (3,3,3);
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137 %! b = a;
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parents: 18081
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138 %! b(1,1,1) = 2;
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139 %! assert (intersect (a, b), sort (a(2:end)));
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parents: 18081
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140