% Schwefel 22 function L. LAURENT -- 19/02/2017 -- luc.laurent@lecnam.net
0001 %% Schwefel 22 function 0002 % L. LAURENT -- 19/02/2017 -- 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(0,...,0)=0 0025 % 0026 %Design space -100<xi<100 0027 0028 0029 function [p,dp] = funSchwefel22(xx) 0030 0031 dim=size(xx,3); 0032 0033 %evaluation and derivatives 0034 pa=abs(xx); 0035 % 0036 p=sum(pa,3)+prod(pa,3); 0037 0038 0039 if nargout==2 0040 % 0041 funP=@(i)prod(pa(:,:,[1:i-1 i+1:end]),3); 0042 pd=arrayfun(funP,1:dim,'UniformOutput',false); 0043 pd=cell2mat(reshape(pd,1,1,dim)); 0044 % 0045 dp=sign(xx).*(1+pd); 0046 0047 %sx=sign(xx); 0048 0049 % 0050 %dp=2/dim.*bsxfun(@times,sx,pc).*(1-bsxfun(@times,pd,pb.^(1/dim-1))); 0051 end 0052 end