/usr/share/octave/packages/signal-1.3.2/sawtooth.m is in octave-signal 1.3.2-1+b1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 | ## 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 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} =} 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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