% Ripple 25 function L. LAURENT -- 12/02/2017 -- luc.laurent@lecnam.net
0001 %% Ripple 25 function 0002 %L. LAURENT -- 12/02/2017 -- luc.laurent@lecnam.net 0003 0004 % sources available here: 0005 % https://bitbucket.org/luclaurent/optigtest/ 0006 % https://github.com/luclaurent/optigtest/ 0007 0008 % optiGTest - set of testing functions A toolbox to easy manipulate functions. 0009 % Copyright (C) 2017 Luc LAURENT <luc.laurent@lecnam.net> 0010 % 0011 % This program is free software: you can redistribute it and/or modify 0012 % it under the terms of the GNU General Public License as published by 0013 % the Free Software Foundation, either version 3 of the License, or 0014 % (at your option) any later version. 0015 % 0016 % This program is distributed in the hope that it will be useful, 0017 % but WITHOUT ANY WARRANTY; without even the implied warranty of 0018 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 0019 % GNU General Public License for more details. 0020 % 0021 % You should have received a copy of the GNU General Public License 0022 % along with this program. If not, see <http://www.gnu.org/licenses/>. 0023 0024 % 0025 %1 minimum global: x=0 >> f(-0.1,-0.1)=-2.2 0026 % 0027 %Design space 0<xi<1 0028 0029 function [p,dp]=funRipple01(xx) 0030 0031 %constants 0032 a=2; 0033 b=0.1; 0034 c=0.8; 0035 d=5*pi; 0036 e=500*pi; 0037 0038 %evaluation and derivatives 0039 pa=(xx-b)./c; 0040 pb=-a*log(a)*pa.^2; 0041 pc=-exp(pb); 0042 sd=sin(d*xx); 0043 ce=cos(e*xx); 0044 pd=sd.^6+b*ce.^2; 0045 cal=pc.*pd; 0046 % 0047 p=sum(cal,3); 0048 0049 if nargout==2 0050 dpd=6*d*sd.^5.*cos(d*xx)-2*e*b*ce.*sin(e*xx); 0051 dpb=-2*a*log(a).*pa.*pc./c; 0052 % 0053 dp=dpb.*pd+pc.*dpd; 0054 end 0055 0056 end