## Copyright (C) 2008 simone pernice ## ## 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, write to the Free Software ## Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA ## __checkMonotonicity__ of a given function in a given interval ## Author: simone pernice ## Created: 2008-08-18 function [ret, inter] = __checkMonotonicity__ (f, interval, pointsToCheck) if (pointsToCheck < 3) error ("At least 3 points are required for monotonicity test"); endif interval = __checkInt__ (interval); x = linspace (interval(1), interval (2), pointsToCheck); y = feval (f, x); inter = [min(y), max(y)]; ret = 0; s = sign(y(2)-y(1)); for i = 3:pointsToCheck if sign(y(i)-y(i-1)) ~= s ret = 0 ; return; endif endfor ret = 1; endfunction

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