% El-Attar-Vidyasogar-Dutta's function L. LAURENT -- 15/11/2016 -- luc.laurent@lecnam.net
0001 %% El-Attar-Vidyasogar-Dutta's function 0002 %L. LAURENT -- 15/11/2016 -- 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)=1.712780354 for (3.40918683, -2.17143304) 0026 % 0027 %Design space: -500<xi<500 0028 0029 0030 function [p,dp]=funElAttarVidyasogarDutta(xx) 0031 0032 %constants 0033 a=10; 0034 b=7; 0035 c=1; 0036 0037 %variables 0038 xxx=xx(:,:,1); 0039 yyy=xx(:,:,2); 0040 0041 %evaluation and derivatives 0042 pa=xxx.^2+yyy-a; 0043 pb=xxx+yyy.^2-b; 0044 pc=xxx.^2+yyy.^3-c; 0045 p=pa.^2+pb.^2+pc.^2; 0046 % 0047 if nargout==2 0048 dp(:,:,1)=4*xxx.*pa+2*pb+4*xxx.*pc; 0049 dp(:,:,2)=2*pa+4*yyy.*pb+6*yyy.^2.*pc; 0050 end 0051 end