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## [38635e]: inst / findRootInt.m Maximize Restore History

 ``` 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``` ```## 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 ## findRootInt compute the incremental ration of f(x) in x0 with dx2/2 delta ## Author: simone pernice ## Created: 2008-08-18 function x1 = findRootInt (f, x0) if (nargin() != 2) error ("Wrong number of argument passed to the function."); endif #x1 = subInt (x0, divInt (monotonicFunctionInt('f', x0), monotonicFunctionInt(@(x) __incrementalRatio__('f', x, intToTol(x0)/20), x0))); #x1 = __intersectSingleInt__ (x1, x0); x1 = subInt (intToVal(x0), divInt (feval('f', intToVal(x0)), monotonicFunctionInt(@(x) __incrementalRatio__('f', x, intToTol(x0)/20), x0))); endfunction ```