## Copyright (C) 2007 Juan Aguado ## ## 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 2 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}] =} sawtooth(@var{t}) ## @deftypefnx {Function File} {[@var{y}] =} sawtooth(@var{t},@var{width}) ## Generates a sawtooth wave of period @code{2 * pi} with limits @code{+1/-1} ## for the elements of @var{t}. ## ## @var{width} is a real number between @code{0} and @code{1} which specifies ## the point between @code{0} and @code{2 * pi} where the maximum is. The ## function increases linearly from @code{-1} to @code{1} in @code{[0, 2 * ## pi * @var{width}]} interval, and decreases linearly from @code{1} to ## @code{-1} in the interval @code{[2 * pi * @var{width}, 2 * pi]}. ## ## If @var{width} is 0.5, the function generates a standard triangular wave. ## ## If @var{width} is not specified, it takes a value of 1, which is a standard ## sawtooth function. ## @end deftypefn function y = sawtooth (t,width) if (nargin < 1 || nargin > 2) print_usage (); endif if (nargin == 1) width = 1; else if (width < 0 || width > 1 || ! isreal (width)) error ("width must be a real number between 0 and 1."); endif endif t = mod (t / (2 * pi), 1); y = zeros (size (t)); if (width != 0) y (t < width) = 2 * t (t < width) / width - 1; endif if (width != 1) y( t >= width) = -2 * (t (t >= width) - width) / (1 - width) + 1; endif endfunction;

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