1 ## Copyright (C) 2007 Sylvain Pelissier <sylvain.pelissier@gmail.com>
3 ## This program is free software; you can redistribute it and/or modify it under
4 ## the terms of the GNU General Public License as published by the Free Software
5 ## Foundation; either version 3 of the License, or (at your option) any later
8 ## This program is distributed in the hope that it will be useful, but WITHOUT
9 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
10 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
13 ## You should have received a copy of the GNU General Public License along with
14 ## this program; if not, see <http://www.gnu.org/licenses/>.
17 ## @deftypefn {Function File} {[@var{y}] =} diric(@var{x},@var{n})
18 ## Compute the dirichlet function.
19 ## @seealso{sinc, gauspuls, sawtooth}
22 function [y] = diric(x,n)
25 elseif (n <= 0 || floor(n) ~= n)
26 error("n must be an integer strictly positive");
29 y = sin(n.*x./2)./(n.*sin(x./2));
30 y(mod(x,2*pi)==0) = (-1).^((n-1).*x(mod(x,2*pi)==0)./(2.*pi));