% Michalewicz function L. LAURENT -- 16/09/2011 -- luc.laurent@lecnam.net
0001 %% Michalewicz function 0002 % L. LAURENT -- 16/09/2011 -- 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: depend of the number of variables 0026 % 0027 %Design space: 0<xi<pi 0028 0029 0030 0031 function [p,dp] = funMichalewicz(xx) 0032 0033 % number of design variables 0034 sX=size(xx); 0035 nbvar=sX(3); 0036 0037 p=zeros(sX(1),sX(2)); 0038 for iter=1:nbvar 0039 p=p+sin(xx(:,:,iter)).*sin(iter*xx(:,:,iter).^2/pi).^20; 0040 end 0041 p=-p; 0042 if nargout==2 0043 dp=zeros(size(xx)); 0044 for iter=1:nbvar 0045 dp(:,:,iter)=cos(xx(:,:,iter)).*sin(iter*xx(:,:,iter).^2/pi).^20+... 0046 40*iter/pi*xx(:,:,iter).*sin(xx(:,:,iter)).*cos(iter*xx(:,:,iter).^2/pi).^19; 0047 end 0048 dp=-dp; 0049 end 0050 end