annotate scripts/general/nextpow2.m @ 27923:bd51beb6205e

update formatting of copyright notices * Use <https://octave.org/copyright/> instead of <https://octave.org/COPYRIGHT.html/>. * For consistency with other comments in the Octave sources, use C++-style comments for copyright blocks in C and C++ files. * Use delimiters above and below copyright blocks that are appropriate for the language used in the file. * Eliminate extra spacing inside copyright blocks. * lex.ll (looks_like_copyright): Also allow newlines and carriage returns before the word "Copyright". * scripts/mk-doc.pl (gethelp): Also skip empty comment lines. * bp-table.cc, type.m: Adjust tests.
author John W. Eaton <jwe@octave.org>
date Wed, 08 Jan 2020 11:59:41 -0500
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1995-2020 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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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{n} =} nextpow2 (@var{x})
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28 ## Compute the exponent for the smallest power of two larger than the input.
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29 ##
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30 ## For each element in the input array @var{x}, return the first integer
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31 ## @var{n} such that
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32 ## @tex
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33 ## $2^n \ge |x|$.
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34 ## @end tex
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35 ## @ifnottex
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36 ## 2^n @geq{} abs (x).
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37 ## @end ifnottex
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38 ##
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39 ## @seealso{pow2, log2}
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40 ## @end deftypefn
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41
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42 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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43 ## Created: 7 October 1994
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44 ## Adapted-By: jwe
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45
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46 function n = nextpow2 (x)
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47
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48 if (nargin != 1)
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49 print_usage ();
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50 endif
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51
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52 if (! isnumeric (x))
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53 error ("nextpow2: X must be numeric");
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54 endif
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55
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56 [f, n] = log2 (abs (x));
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57 idx = (n == 0); # Find any failures of log2 function (n == 0)
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58 n(idx) = f(idx); # and copy over value.
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59 n(f == 0.5)--;
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60
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61 endfunction
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62
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63
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64 %!assert (nextpow2 (16), 4)
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65 %!assert (nextpow2 (17), 5)
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66 %!assert (nextpow2 (31), 5)
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67 %!assert (nextpow2 (-16), 4)
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68 %!assert (nextpow2 (-17), 5)
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69 %!assert (nextpow2 (-31), 5)
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70 %!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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71 ## Special cases
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72 %!assert (nextpow2 (0), 0)
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73 %!assert (nextpow2 (1), 0)
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74 %!assert (nextpow2 (Inf), Inf)
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75 %!assert (nextpow2 (-Inf), Inf)
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76 %!assert (nextpow2 (NaN), NaN)
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77 %!assert (nextpow2 ([1, Inf, 3, -Inf, 9, NaN]), [0, Inf, 2, Inf, 4, NaN])
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78
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79 ## Test input validation
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80 %!error nexpow2 ()
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81 %!error nexpow2 (1, 2)
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82 %!error <X must be numeric> nextpow2 ("t")