1 ## Copyright (C) 2006 Sylvain Pelissier <sylvain.pelissier@gmail.com>
3 ## This program is free software; you can redistribute it and/or modify
4 ## it under the terms of the GNU General Public License as published by
5 ## the Free Software Foundation; either version 3 of the License, or
6 ## (at your option) any later version.
8 ## This program is distributed in the hope that it will be useful,
9 ## but WITHOUT ANY WARRANTY; without even the implied warranty of
10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
11 ## GNU General Public License for more details.
13 ## You should have received a copy of the GNU General Public License
14 ## along with this program; If not, see <http://www.gnu.org/licenses/>.
17 ## @deftypefn {Function File} {} heaviside(@var{x})
18 ## @deftypefnx{Function File} {} heaviside(@var{x}, @var{zero_value})
19 ## Compute the Heaviside step function.
21 ## The Heaviside function is defined as
24 ## Heaviside (@var{x}) = 1, @var{x} > 0
25 ## Heaviside (@var{x}) = 0, @var{x} < 0
29 ## The value of the Heaviside function at @var{x} = 0 is by default 0.5,
30 ## but can be changed via the optional second input argument.
34 function y = heaviside (x, zero_value = 0.5)
39 y = cast (x > 0, class (x));
40 y (x == 0) = zero_value;