X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fspecfun-1.1.0%2FSi.m;fp=octave_packages%2Fspecfun-1.1.0%2FSi.m;h=d7142d1c2cd810050e337a499e6b9c9277cc95a5;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/specfun-1.1.0/Si.m b/octave_packages/specfun-1.1.0/Si.m new file mode 100644 index 0000000..d7142d1 --- /dev/null +++ b/octave_packages/specfun-1.1.0/Si.m @@ -0,0 +1,44 @@ +## Copyright (C) 2006 Sylvain Pelissier +## +## This program 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. +## +## This program 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 this program; If not, see . + +## -*- texinfo -*- +## @deftypefn {Function File} {@var{y} =} Si (@var{x}) +## Compute the sine integral defined by: +## @verbatim +## x +## / +## Si(x) = | sin(t)/t dt +## / +## 0 +## @end verbatim +## @end deftypefn + +function y = Si(x) + if (nargin != 1) + print_usage; + endif + y = zeros(size(x)); + if prod(size(x)) < 101 + for k = 1:prod(size(x)) + y(k) = sum(besselj([0:100]+0.5,(x(k)/2)).^2); + endfor + y = y.*pi; + else + for k=0:100 + y += besselj(k+0.5,x/2).^2; + endfor + y = y.*pi; + endif +endfunction