funObjKursawe1

PURPOSE ^

% Kursawe 1st objective function

SYNOPSIS ^

function [p,dp]=funObjKursawe1(xx)

DESCRIPTION ^

% Kursawe 1st objective function
L. LAURENT -- 09/05/2018 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Kursawe 1st objective function
0002 %L. LAURENT -- 09/05/2018 -- 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 function [p,dp]=funObjKursawe1(xx)
0025 
0026 %constants
0027 a=10;
0028 b=0.2;
0029 
0030 %responses and derivatives
0031 xxx=xx(:,:,1);
0032 yyy=xx(:,:,2);
0033 zzz=xx(:,:,3);
0034 %
0035 tda=xxx.^2+yyy.^2;
0036 tdb=yyy.^2+zzz.^2;
0037 %
0038 sa=sqrt(tda);
0039 sb=sqrt(tdb);
0040 %
0041 etda=-a*exp(-b*sa);
0042 etdb=-a*exp(-b*sb);
0043 %
0044 p=etda+etdb;
0045 
0046 if nargout==2
0047     %
0048     dp(:,:,1)=-b*etda.*xxx./sa;
0049     dp(:,:,2)=-b*etda.*yyy./sa-b*etdb.*yyy./sb;
0050     dp(:,:,3)=-b*etdb.*zzz./sb;
0051 end
0052 end

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