annotate scripts/specfun/lcm.m @ 31230:6646f2b5a3d1

lcm.m: Emit warnings when results not exact (Bug #32924)
author Arun Giridhar <arungiridhar@gmail.com>
date Sat, 17 Sep 2022 04:22:38 -0400
parents 5d3faba0342e
children 597f3ee61a48
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1994-2022 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{l} =} lcm (@var{x}, @var{y})
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28 ## @deftypefnx {} {@var{l} =} lcm (@var{x}, @var{y}, @dots{})
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29 ## Compute the least common multiple of @var{x} and @var{y}, or of the list of
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30 ## all arguments.
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31 ##
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32 ## All elements must be numeric and of the same size or scalar.
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33 ## @seealso{factor, gcd, isprime}
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34 ## @end deftypefn
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35
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36 function l = lcm (varargin)
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37
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38 if (nargin < 2)
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39 print_usage ();
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40 endif
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41
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42 if (common_size (varargin{:}) != 0)
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43 error ("lcm: all args must be the same size or scalar");
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44 elseif (! all (cellfun ("isnumeric", varargin)))
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45 error ("lcm: all arguments must be numeric");
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46 endif
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47
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48 l = varargin{1};
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49 for i = 2:nargin
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50 x = varargin{i};
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51 msk = (l == 0 & x == 0);
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52 l .*= x ./ gcd (l, x);
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53 l(msk) = 0;
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54 endfor
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55
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56 if (isfloat (l) && l > flintmax (l))
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57 warning ("Octave:lcm:large-output-float", ...
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58 "lcm: possible loss of precision");
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59 elseif (isinteger (l) && l == intmax (l))
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60 warning ("Octave:lcm:large-output-integer", ...
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61 "lcm: result may have saturated at intmax");
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62 endif
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63
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64 endfunction
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65
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66
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67 %!assert (lcm (3, 5, 7, 15), 105)
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68
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69 ## Test input validation
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70 %!error <Invalid call> lcm ()
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71 %!error <Invalid call> lcm (1)
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72 %!error <same size or scalar> lcm ([1 2], [1 2 3])
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73 %!error <arguments must be numeric> lcm ([1 2], {1 2})
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74 %!warning <loss of precision> lcm (num2cell (double (1:47)){:});
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75 %!warning <loss of precision> lcm (num2cell (single (1:47)){:});
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76 %!warning <result .* saturated> lcm (num2cell (uint64 (1:47)){:});
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77 %!warning <result .* saturated> lcm (num2cell (uint32 (1:47)){:});
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78 %!warning <result .* saturated> lcm (num2cell (uint16 (1:47)){:});
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79 %!warning <result .* saturated> lcm (num2cell ( uint8 (1:47)){:});
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80 %!warning <result .* saturated> lcm (num2cell ( int64 (1:47)){:});
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81 %!warning <result .* saturated> lcm (num2cell ( int32 (1:47)){:});
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82 %!warning <result .* saturated> lcm (num2cell ( int16 (1:47)){:});
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83 %!warning <result .* saturated> lcm (num2cell ( int8 (1:47)){:});