Mercurial > octave
annotate scripts/general/xor.m @ 27919:1891570abac8
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2020.
author | John W. Eaton <jwe@octave.org> |
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date | Mon, 06 Jan 2020 22:29:51 -0500 |
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1 ## Copyright (C) 1995-2020 The Octave Project Developers |
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2 ## |
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3 ## See the file COPYRIGHT.md in the top-level directory of this distribution |
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4 ## or <https://octave.org/COPYRIGHT.html/>. |
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5 ## |
3426 | 6 ## |
3922 | 7 ## This file is part of Octave. |
8 ## | |
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9 ## Octave is free software: you can redistribute it and/or modify it |
3922 | 10 ## under the terms of the GNU General Public License as published by |
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11 ## the Free Software Foundation, either version 3 of the License, or |
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12 ## (at your option) any later version. |
3426 | 13 ## |
3922 | 14 ## Octave is distributed in the hope that it will be useful, but |
2538 | 15 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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16 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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17 ## GNU General Public License for more details. |
3426 | 18 ## |
2538 | 19 ## You should have received a copy of the GNU General Public License |
7016 | 20 ## along with Octave; see the file COPYING. If not, see |
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21 ## <https://www.gnu.org/licenses/>. |
2538 | 22 |
3321 | 23 ## -*- texinfo -*- |
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24 ## @deftypefn {} {@var{z} =} xor (@var{x}, @var{y}) |
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25 ## @deftypefnx {} {@var{z} =} xor (@var{x1}, @var{x2}, @dots{}) |
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26 ## Return the @dfn{exclusive or} of @var{x} and @var{y}. |
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27 ## |
3321 | 28 ## For boolean expressions @var{x} and @var{y}, |
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29 ## @code{xor (@var{x}, @var{y})} is true if and only if one of @var{x} or |
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30 ## @var{y} is true. Otherwise, if @var{x} and @var{y} are both true or both |
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31 ## false, @code{xor} returns false. |
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32 ## |
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33 ## The truth table for the xor operation is |
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34 ## |
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35 ## @multitable @columnfractions 0.44 .03 .05 .03 0.44 |
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36 ## @item @tab @var{x} @tab @var{y} @tab @var{z} @tab |
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37 ## @item @tab - @tab - @tab - @tab |
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38 ## @item @tab 0 @tab 0 @tab 0 @tab |
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39 ## @item @tab 1 @tab 0 @tab 1 @tab |
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40 ## @item @tab 0 @tab 1 @tab 1 @tab |
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41 ## @item @tab 1 @tab 1 @tab 0 @tab |
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42 ## @end multitable |
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43 ## |
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44 ## If more than two arguments are given the xor operation is applied |
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45 ## cumulatively from left to right: |
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46 ## |
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47 ## @example |
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48 ## (@dots{}((x1 XOR x2) XOR x3) XOR @dots{}) |
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49 ## @end example |
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50 ## |
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51 ## @seealso{and, or, not} |
3321 | 52 ## @end deftypefn |
2538 | 53 |
5428 | 54 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
2538 | 55 ## Created: 16 September 1994 |
56 ## Adapted-By: jwe | |
57 | |
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58 function z = xor (x, y, varargin) |
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59 |
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60 if (nargin < 2) |
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61 print_usage (); |
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62 endif |
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63 |
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64 z = __xor__ (x, y); |
2538 | 65 |
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66 ## Slow expansion to multiple arguments. |
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67 ## Probably okay number of elements will be small. |
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68 if (! isempty (varargin)) |
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69 for i = 1:numel (varargin) |
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70 z = __xor__ (z, varargin{i}); |
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71 endfor |
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72 endif |
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73 |
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74 endfunction |
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75 |
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76 function z = __xor__ (x, y) |
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77 |
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78 if (isscalar (x) || isscalar (y) || size_equal (x, y)) |
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79 ## Typecast to logicals is necessary for other numeric types. |
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80 z = logical (x) != logical (y); |
2621 | 81 else |
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82 try |
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83 z = bsxfun (@xor, x, y); |
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84 catch |
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85 error ("xor: X and Y must be of compatible size or scalars"); |
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86 end_try_catch |
2538 | 87 endif |
88 | |
89 endfunction | |
7385 | 90 |
91 | |
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92 %!assert (xor ([1, 1, 0, 0], [0, 1, 0, 1]), logical ([1, 0, 0, 1])) |
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93 %!assert (xor ([i, i, 0, 0], [1, 0, 1, 0]), logical ([0, 1, 1, 0])) |
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95 %!assert (xor (eye (2), fliplr (eye (2))), logical (ones (2))) |
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96 %!assert (xor (speye (2), fliplr (speye (2))), sparse (logical (ones (2)))) |
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98 ## Test XOR reduction |
19193 | 99 %!assert (xor ([1 0], [1 1], [0 0]), logical ([0 1])) |
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100 |
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101 ## Test input validation |
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102 %!error xor () |
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103 %!error xor (1) |
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104 %!error <X and Y must be of compatible size> xor (ones (3,2), ones (2,3)) |