% Schwefel 36 function L. LAURENT -- 28/04/2017 -- luc.laurent@lecnam.net
0001 %% Schwefel 36 function 0002 %L. LAURENT -- 28/04/2017 -- 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 %numerous local minima 0026 %1 global minimum : x=(12,12) >> f(x)=-3456 0027 % 0028 %Design space: 0<xi<10 0029 0030 function [p,dp]=funSchwefel36(xx) 0031 0032 %constants 0033 a=72; 0034 b=2; 0035 0036 %evaluation and derivatives 0037 xxx=xx(:,:,1); 0038 yyy=xx(:,:,2); 0039 % 0040 pa=xxx.*yyy; 0041 pb=a-b*xxx-b*yyy; 0042 % 0043 p=-pa.*pb; 0044 % 0045 if nargout==2 0046 % 0047 dp=zeros(size(xx)); 0048 % 0049 dp(:,:,1)=-yyy.*pb+b*pa; 0050 dp(:,:,2)=-xxx.*pb+b*pa; 0051 end 0052 0053 end