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diric.m    34 lines (28 with data), 1.2 kB

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## Copyright (C) 2007 Sylvain Pelissier <sylvain.pelissier@gmail.com>
##
## 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 <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{y} =} diric (@var{x},@var{n})
## Compute the dirichlet function.
## @seealso{sinc, gauspuls, sawtooth}
## @end deftypefn
function y = diric(x,n)
if (nargin < 2)
print_usage;
elseif (n <= 0 || floor(n) ~= n)
error("n must be an integer strictly positive");
endif
y = sin(n.*x./2)./(n.*sin(x./2));
y(mod(x,2*pi)==0) = (-1).^((n-1).*x(mod(x,2*pi)==0)./(2.*pi));
endfunction