funWhitley

PURPOSE ^

% Whitley function

SYNOPSIS ^

function [p,dp] = funWhitley(xx)

DESCRIPTION ^

% Whitley function
 L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Whitley function
0002 % L. LAURENT -- 28/02/2017 -- 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(1,...,1)=0
0025 %
0026 %Design space -10.24<xi<10.24
0027 
0028 function [p,dp] = funWhitley(xx)
0029 
0030 %constants
0031 a=100;
0032 b=1;
0033 c=4000;
0034 
0035 %evaluation and derivatives
0036 sX=size(xx);
0037 xxi=xx;
0038 xxj=reshape(xx,sX(1),sX(2),1,sX(3));
0039 %
0040 xxij=xxi.^2-xxj;
0041 pA=a*xxij.^2+(b-xxj).^2;
0042 pAA=pA.^2./c;
0043 pB=cos(a*xxij.^2+(b-xxj).^2);
0044 %
0045 p=sum(sum(pAA-pB+b,4),3);
0046 
0047 if nargout==2
0048     
0049     dgX=a*8/c*xxi.*xxij.*(pA+sin(a*xxij.^2+(b-xxj).^2));
0050     dgY=(-2*a/c*xxij-2/c*(b-xxj)).*pA ...
0051         -(2*a*xxij+2*(b-xxj)).*sin(a*xxij.^2+(b-xxj).^2);
0052     dp=sum(dgX+dgY,4);
0053     
0054 end
0055 end
0056

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