% Mishra 11 function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Mishra 11 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(x)=0 for xi=0 0026 % 0027 %Design space: -10<xi<10 0028 0029 0030 function [p,dp]=funMishra11(xx) 0031 0032 %evaluation and derivatives 0033 dim=size(xx,3); 0034 pa=sum(abs(xx),3); 0035 pb=prod(abs(xx),3); 0036 % 0037 pc=1/dim*pa-(pb).^(1/dim); 0038 p=pc.^2; 0039 0040 if nargout==2 0041 sx=sign(xx); 0042 funP=@(i)prod(abs(xx(:,:,[1:i-1 i+1:end])),3); 0043 pd=arrayfun(funP,1:dim,'UniformOutput',false); 0044 pd=cell2mat(reshape(pd,1,1,dim)); 0045 % 0046 dp=2/dim.*bsxfun(@times,sx,pc).*(1-bsxfun(@times,pd,pb.^(1/dim-1))); 0047 end 0048 end