Mercurial > octave
annotate scripts/specfun/lcm.m @ 31230:6646f2b5a3d1
lcm.m: Emit warnings when results not exact (Bug #32924)
author | Arun Giridhar <arungiridhar@gmail.com> |
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date | Sat, 17 Sep 2022 04:22:38 -0400 |
parents | 5d3faba0342e |
children | 597f3ee61a48 |
rev | line source |
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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/>. |
2313 | 7 ## |
8 ## This file is part of Octave. | |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
2313 | 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. |
2313 | 14 ## |
15 ## Octave is distributed in the hope that it will be useful, but | |
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. |
2313 | 19 ## |
20 ## You should have received a copy of the GNU General Public License | |
7016 | 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 ######################################################################## |
1026 | 25 |
3321 | 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{}) |
19100 | 29 ## Compute the least common multiple of @var{x} and @var{y}, or of the list of |
30 ## all arguments. | |
31 ## | |
32 ## All elements must be numeric and of the same size or scalar. | |
33 ## @seealso{factor, gcd, isprime} | |
3321 | 34 ## @end deftypefn |
2311 | 35 |
4870 | 36 function l = lcm (varargin) |
904 | 37 |
19100 | 38 if (nargin < 2) |
11028 | 39 print_usage (); |
715 | 40 endif |
2325 | 41 |
19100 | 42 if (common_size (varargin{:}) != 0) |
43 error ("lcm: all args must be the same size or scalar"); | |
44 elseif (! all (cellfun ("isnumeric", varargin))) | |
45 error ("lcm: all arguments must be numeric"); | |
46 endif | |
47 | |
48 l = varargin{1}; | |
49 for i = 2:nargin | |
50 x = varargin{i}; | |
51 msk = (l == 0 & x == 0); | |
52 l .*= x ./ gcd (l, x); | |
53 l(msk) = 0; | |
54 endfor | |
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 |
715 | 64 endfunction |
7385 | 65 |
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66 |
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67 %!assert (lcm (3, 5, 7, 15), 105) |
7385 | 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) |
19100 | 72 %!error <same size or scalar> lcm ([1 2], [1 2 3]) |
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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parents:
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82 %!warning <result .* saturated> lcm (num2cell ( int16 (1:47)){:}); |
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parents:
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83 %!warning <result .* saturated> lcm (num2cell ( int8 (1:47)){:}); |