% Whitley function L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net
0001 %% Whitley function 0002 % L. LAURENT -- 28/02/2017 -- 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 %1 minimum global: f(1,...,1)=0 0025 % 0026 %Design space -10.24<xi<10.24 0027 0028 function [p,dp] = funWhitley(xx) 0029 0030 %constants 0031 a=100; 0032 b=1; 0033 c=4000; 0034 0035 %evaluation and derivatives 0036 sX=size(xx); 0037 xxi=xx; 0038 xxj=reshape(xx,sX(1),sX(2),1,sX(3)); 0039 % 0040 xxij=xxi.^2-xxj; 0041 pA=a*xxij.^2+(b-xxj).^2; 0042 pAA=pA.^2./c; 0043 pB=cos(a*xxij.^2+(b-xxj).^2); 0044 % 0045 p=sum(sum(pAA-pB+b,4),3); 0046 0047 if nargout==2 0048 0049 dgX=a*8/c*xxi.*xxij.*(pA+sin(a*xxij.^2+(b-xxj).^2)); 0050 dgY=(-2*a/c*xxij-2/c*(b-xxj)).*pA ... 0051 -(2*a*xxij+2*(b-xxj)).*sin(a*xxij.^2+(b-xxj).^2); 0052 dp=sum(dgX+dgY,4); 0053 0054 end 0055 end 0056