% Keane's function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Keane's function 0002 %L. LAURENT -- 17/11/2016 -- 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 %global minimum : f(x1,x2)=-0.673668 for (x1,x2)={(0,1.39325),(1.39325,0)} 0026 % 0027 %Design space: 0<xi<10 0028 0029 0030 function [p,dp]=funKeane(xx) 0031 0032 %variables 0033 xxx=xx(:,:,1); 0034 yyy=xx(:,:,2); 0035 0036 %evaluation and derivatives 0037 sa=sin(xxx-yyy); 0038 sb=sin(xxx+yyy); 0039 pa=sqrt(xxx.^2+yyy.^2); 0040 % 0041 p=sa.^2.*sb.^2./pa; 0042 0043 if nargout==2 0044 ca=cos(xxx-yyy); 0045 cb=cos(xxx+yyy); 0046 % 0047 dp(:,:,1)=(2*sa.*ca.*sb.^2+2*sb.*cb.*sa.^2)./pa-xxx.*p./pa.^2; 0048 dp(:,:,2)=(-2*sa.*ca.*sb.^2+2*sb.*cb.*sa.^2)./pa-yyy.*p./pa.^2; 0049 end 0050 end