Mercurial > octave
annotate scripts/general/nextpow2.m @ 25236:69b21b8a0e9f
nextpow2.m: Compute value correctly for Inf or NaN inputs (bug #53463).
* nextpow2.m: Change docstring to define the output variable N.
Check for failure of 2-input form of log2 function by looking for
an exponent of 0. If found, copy over the value that log2 was
not able to process (e.g., Inf or NaN). Add BIST tests for
special cases. Add fail pattern to %!error test.
author | Rik <rik@octave.org> |
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date | Thu, 12 Apr 2018 14:34:10 -0700 |
parents | 6652d3823428 |
children | 996d78102a71 |
rev | line source |
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1 ## Copyright (C) 1995-2018 Kurt Hornik |
3426 | 2 ## |
3922 | 3 ## This file is part of Octave. |
4 ## | |
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5 ## Octave is free software: you can redistribute it and/or modify it |
3922 | 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 |
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8 ## (at your option) any later version. |
3426 | 9 ## |
3922 | 10 ## Octave is distributed in the hope that it will be useful, but |
2539 | 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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13 ## GNU General Public License for more details. |
3426 | 14 ## |
2539 | 15 ## You should have received a copy of the GNU General Public License |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
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17 ## <https://www.gnu.org/licenses/>. |
2539 | 18 |
3321 | 19 ## -*- texinfo -*- |
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20 ## @deftypefn {} {@var{n} =} nextpow2 (@var{x}) |
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21 ## Compute the exponent for the smallest power of two larger than the input. |
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22 ## |
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23 ## For each element in the input array @var{x}, return the first integer |
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24 ## @var{n} such that |
3321 | 25 ## @tex |
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26 ## $2^n \ge |x|$. |
3321 | 27 ## @end tex |
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28 ## @ifnottex |
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29 ## 2^n @geq{} abs (x). |
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30 ## @end ifnottex |
3426 | 31 ## |
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32 ## @seealso{pow2, log2} |
3321 | 33 ## @end deftypefn |
2539 | 34 |
5428 | 35 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
2539 | 36 ## Created: 7 October 1994 |
37 ## Adapted-By: jwe | |
38 | |
39 function n = nextpow2 (x) | |
3426 | 40 |
2539 | 41 if (nargin != 1) |
6046 | 42 print_usage (); |
2539 | 43 endif |
44 | |
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45 if (! isnumeric (x)) |
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46 error ("nextpow2: X must be numeric"); |
2816 | 47 endif |
3426 | 48 |
2539 | 49 [f, n] = log2 (abs (x)); |
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50 idx = (n == 0); # Find any failures of log2 function (n == 0) |
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51 n(idx) = f(idx); # and copy over value. |
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52 n(f == 0.5)--; |
3426 | 53 |
2539 | 54 endfunction |
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55 |
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56 |
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57 %!assert (nextpow2 (16), 4) |
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58 %!assert (nextpow2 (17), 5) |
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59 %!assert (nextpow2 (31), 5) |
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60 %!assert (nextpow2 (-16), 4) |
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61 %!assert (nextpow2 (-17), 5) |
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62 %!assert (nextpow2 (-31), 5) |
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63 %!assert (nextpow2 (1:17), [0 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5]) |
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64 ## Special cases |
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65 %!assert (nextpow2 (0), 0) |
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66 %!assert (nextpow2 (1), 0) |
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67 %!assert (nextpow2 (Inf), Inf) |
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68 %!assert (nextpow2 (-Inf), Inf) |
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69 %!assert (nextpow2 (NaN), NaN) |
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70 %!assert (nextpow2 ([1, Inf, 3, -Inf, 9, NaN]), [0, Inf, 2, Inf, 4, NaN]) |
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71 |
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72 ## Test input validation |
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73 %!error nexpow2 () |
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74 %!error nexpow2 (1, 2) |
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75 %!error <X must be numeric> nextpow2 ("t") |