% Chichinadze's function L. LAURENT -- 04/11/2016 -- luc.laurent@lecnam.net
0001 %% Chichinadze's function 0002 %L. LAURENT -- 04/11/2016 -- 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 global minimum 0026 %f(x1,x2)=-42.94438701899098 for (x1,x2)=(6.189866586965680,0.5) 0027 % 0028 %Design space: -500<x1,x2<500 0029 0030 0031 0032 0033 function [p,dp]=funChichinadze(xx) 0034 0035 %constants 0036 a=12; 0037 b=11; 0038 c=10; 0039 d=pi/2; 0040 e=8; 0041 f=5*d; 0042 g=0.2*sqrt(5); 0043 h=1/2; 0044 0045 %variables 0046 xxx=xx(:,:,1); 0047 yyy=xx(:,:,2); 0048 0049 %evaluations and derivatives 0050 pa=xxx.^2-a*xxx+b; 0051 pb=c*cos(d*xxx)+e*sin(f*xxx); 0052 pc=exp(-h*(yyy-h).^2); 0053 % 0054 p=pa+pb+g*pc; 0055 0056 if nargout==2 0057 dp(:,:,1)=2*xxx-a... 0058 -c*d*sin(d*xxx)+e*f*cos(f*xxx); 0059 dp(:,:,2)=-2*h*g*yyy.*pc; 0060 end 0061 end