annotate scripts/miscellaneous/xor.m @ 20595:c1a6c31ac29a

eliminate more simple uses of error_state * ov-classdef.cc: Eliminate simple uses of error_state.
author John W. Eaton <jwe@octave.org>
date Tue, 06 Oct 2015 00:20:02 -0400
parents 9fc020886ae9
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1 ## Copyright (C) 1995-2015 Kurt Hornik
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {@var{z} =} xor (@var{x}, @var{y})
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21 ## @deftypefnx {Function File} {@var{z} =} xor (@var{x1}, @var{x2}, @dots{})
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22 ## Return the @dfn{exclusive or} of @var{x} and @var{y}.
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23 ##
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24 ## For boolean expressions @var{x} and @var{y},
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25 ## @code{xor (@var{x}, @var{y})} is true if and only if one of @var{x} or
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26 ## @var{y} is true. Otherwise, if @var{x} and @var{y} are both true or both
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27 ## false, @code{xor} returns false.
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28 ##
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29 ## The truth table for the xor operation is
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30 ##
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31 ## @multitable @columnfractions 0.44 .03 .05 .03 0.44
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32 ## @item @tab @var{x} @tab @var{y} @tab @var{z} @tab
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33 ## @item @tab - @tab - @tab - @tab
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34 ## @item @tab 0 @tab 0 @tab 0 @tab
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35 ## @item @tab 1 @tab 0 @tab 1 @tab
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36 ## @item @tab 0 @tab 1 @tab 1 @tab
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37 ## @item @tab 1 @tab 1 @tab 0 @tab
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38 ## @end multitable
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39 ##
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40 ## If more than two arguments are given the xor operation is applied
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41 ## cumulatively from left to right:
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42 ##
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43 ## @example
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44 ## (@dots{}((x1 XOR x2) XOR x3) XOR @dots{})
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45 ## @end example
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46 ##
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47 ## @seealso{and, or, not}
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48 ## @end deftypefn
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49
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50 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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51 ## Created: 16 September 1994
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52 ## Adapted-By: jwe
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53
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54 function z = xor (x, y, varargin)
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55
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56 if (nargin < 2)
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57 print_usage ();
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58 endif
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59
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60 z = __xor__ (x, y);
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61
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62 ## Slow expansion to multiple arguments.
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63 ## Probably okay number of elements ## will be small.
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64 if (! isempty (varargin))
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65 for i = 1:numel (varargin)
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66 z = __xor__ (z, varargin{i});
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67 endfor
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68 endif
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69
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70 endfunction
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71
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72 function z = __xor__ (x, y)
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73
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74 if (isscalar (x) || isscalar (y) || size_equal (x, y))
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75 ## Typecast to logicals is necessary for other numeric types.
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76 z = logical (x) != logical (y);
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77 else
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78 try
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79 z = bsxfun (@xor, x, y);
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80 catch
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81 error ("xor: X and Y must be of compatible size or scalars");
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82 end_try_catch
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83 endif
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84
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85 endfunction
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87
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88 %!assert (xor ([1, 1, 0, 0], [0, 1, 0, 1]), logical ([1, 0, 0, 1]))
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89 %!assert (xor ([i, i, 0, 0], [1, 0, 1, 0]), logical ([0, 1, 1, 0]))
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91 %!assert (xor (eye (2), fliplr (eye (2))), logical (ones (2)))
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92 %!assert (xor (speye (2), fliplr (speye (2))), sparse (logical (ones (2))))
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94 ## Test XOR reduction
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95 %!assert (xor ([1 0], [1 1], [0 0]), logical ([0 1]))
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96
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97 ## Test input validation
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98 %!error xor ()
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99 %!error xor (1)
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100 %!error <X and Y must be of compatible size> xor (ones (3,2), ones (2,3))
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101