funMichalewicz

PURPOSE ^

% Michalewicz function

SYNOPSIS ^

function [p,dp] = funMichalewicz(xx)

DESCRIPTION ^

% Michalewicz function
 L. LAURENT -- 16/09/2011 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

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

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