X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fspecfun%2Fbeta.m;fp=octave_packages%2Fm%2Fspecfun%2Fbeta.m;h=e8c7548b7439b2a7ffab97e1935873a53292f690;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/specfun/beta.m b/octave_packages/m/specfun/beta.m new file mode 100644 index 0000000..e8c7548 --- /dev/null +++ b/octave_packages/m/specfun/beta.m @@ -0,0 +1,82 @@ +## Copyright (C) 1994-2012 John W. Eaton +## +## This file is part of Octave. +## +## Octave is free software; you can redistribute it and/or modify it +## under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3 of the License, or (at +## your option) any later version. +## +## Octave is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Mapping Function} {} beta (@var{a}, @var{b}) +## For real inputs, return the Beta function, +## @tex +## $$ +## B (a, b) = {\Gamma (a) \Gamma (b) \over \Gamma (a + b)}. +## $$ +## @end tex +## @ifnottex +## +## @example +## beta (a, b) = gamma (a) * gamma (b) / gamma (a + b). +## @end example +## +## @end ifnottex +## @end deftypefn + +## Author: KH +## Created: 13 June 1993 +## Adapted-By: jwe + +function retval = beta (a, b) + + if (nargin != 2) + print_usage (); + endif + + if (any (size (a) != size (b)) && numel (a) != 1 && numel (b) != 1) + error ("beta: inputs A and B have inconsistent sizes"); + endif + + if (! isreal (a) || ! isreal (b)) + error ("beta: inputs A and B must be real"); + endif + + retval = real (exp (gammaln (a) + gammaln (b) - gammaln (a+b))); + +endfunction + +%!test +%! a=[1, 1.5, 2, 3]; +%! b=[4, 3, 2, 1]; +%! v1=beta(a,b); +%! v2=beta(b,a); +%! v3=gamma(a).*gamma(b)./gamma(a+b); +%! assert(all(abs(v1-v2)