funObjMultiSchaffer21

PURPOSE ^

% Schaffer N2 1st objective function

SYNOPSIS ^

function [p,dp]=funObjMultiSchaffer21(xx)

DESCRIPTION ^

% Schaffer N2 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 %% Schaffer N2 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]=funObjMultiSchaffer21(xx)
0025 
0026 %constants
0027 a=1;
0028 b=2;
0029 c=3;
0030 d=4;
0031 
0032 %responses and derivatives
0033 IXa=find(xx<=a);
0034 IXb=find(a<xx&xx<=c);
0035 IXc=find(c<xx&xx<=d);
0036 %
0037 p=xx-d;
0038 %
0039 p(IXa)=-xx(IXa);
0040 p(IXb)=xx(IXb)-b;
0041 p(IXc)=d-xx(IXc);
0042 
0043 if nargout==2
0044     %
0045     dp=ones(size(xx));
0046     %
0047     dp(IXa)=-dp(IXa);
0048     dp(IXc)=-dp(IXc);
0049 end
0050 end

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