Mercurial > hg > octave-nkf
annotate scripts/specfun/factorial.m @ 18208:1c1236fd179a stable
fix menu name of release notes in warning bar of exp. gui (bug #41078)
* main-window.cc (construct_warning_bar): fix text of warning bar,
menu for release notes in news menu
* libgui/languages/*.ts: update language files accordingly
author | Torsten <ttl@justmail.de> |
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date | Fri, 03 Jan 2014 23:15:34 +0100 |
parents | d63878346099 |
children | 4403c0cce439 |
rev | line source |
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17744
d63878346099
maint: Update copyright notices for release.
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 2000-2013 Paul Kienzle |
5820 | 2 ## |
3 ## This file is part of Octave. | |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
5820 | 9 ## |
10 ## Octave is distributed in the hope that it will be useful, but | |
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 ## General Public License for more details. | |
14 ## | |
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 |
17 ## <http://www.gnu.org/licenses/>. | |
5820 | 18 |
19 ## -*- texinfo -*- | |
20 ## @deftypefn {Function File} {} factorial (@var{n}) | |
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8c71a86c4bf4
Update section 17.5 (Utility Functions) of arith.txi
Rik <rdrider0-list@yahoo.com>
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21 ## Return the factorial of @var{n} where @var{n} is a positive integer. If |
8c71a86c4bf4
Update section 17.5 (Utility Functions) of arith.txi
Rik <rdrider0-list@yahoo.com>
parents:
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22 ## @var{n} is a scalar, this is equivalent to @code{prod (1:@var{n})}. For |
8c71a86c4bf4
Update section 17.5 (Utility Functions) of arith.txi
Rik <rdrider0-list@yahoo.com>
parents:
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23 ## vector or matrix arguments, return the factorial of each element in the |
8c71a86c4bf4
Update section 17.5 (Utility Functions) of arith.txi
Rik <rdrider0-list@yahoo.com>
parents:
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24 ## array. For non-integers see the generalized factorial function |
8c71a86c4bf4
Update section 17.5 (Utility Functions) of arith.txi
Rik <rdrider0-list@yahoo.com>
parents:
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25 ## @code{gamma}. |
8c71a86c4bf4
Update section 17.5 (Utility Functions) of arith.txi
Rik <rdrider0-list@yahoo.com>
parents:
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26 ## @seealso{prod, gamma} |
5820 | 27 ## @end deftypefn |
28 | |
29 function x = factorial (n) | |
6391 | 30 if (nargin != 1) |
31 print_usage (); | |
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Use common code idiom for checking whether a double value is an integer.
Rik <octave@nomad.inbox5.com>
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32 elseif (any (n(:) < 0 | n(:) != fix (n(:)))) |
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Use non-negative, non-positive with hyphens in error messages.
Rik <octave@nomad.inbox5.com>
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33 error ("factorial: N must all be non-negative integers"); |
5820 | 34 endif |
6532 | 35 x = round (gamma (n+1)); |
5820 | 36 endfunction |
6532 | 37 |
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Rik <octave@nomad.inbox5.com>
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38 |
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Rik <octave@nomad.inbox5.com>
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39 %!assert (factorial (5), prod (1:5)) |
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Rik <octave@nomad.inbox5.com>
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40 %!assert (factorial ([1,2;3,4]), [1,2;6,24]) |
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Rik <octave@nomad.inbox5.com>
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41 %!assert (factorial (70), exp (sum (log (1:70))), -128*eps) |
f3d52523cde1
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Rik <octave@nomad.inbox5.com>
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42 |
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Rik <octave@nomad.inbox5.com>
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43 %!fail ("factorial (5.5)", "must all be non-negative integers") |
f3d52523cde1
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Rik <octave@nomad.inbox5.com>
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44 %!fail ("factorial (-3)", "must all be non-negative integers") |
f3d52523cde1
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Rik <octave@nomad.inbox5.com>
parents:
14138
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45 |