funObjZitzlerDebThiele61

PURPOSE ^

% Zitzler-Deb-Thiele N6 1st objective function

SYNOPSIS ^

function [p,dp]=funObjZitzlerDebThiele61(xx)

DESCRIPTION ^

% Zitzler-Deb-Thiele N6 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 %% Zitzler-Deb-Thiele N6 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]=funObjZitzlerDebThiele61(xx)
0025 
0026 %constants
0027 a=4;
0028 b=6*pi;
0029 
0030 %responses and derivatives
0031 xxx=xx(:,:,1);
0032 %
0033 tda=exp(-a*xxx);
0034 sb=sin(b*xxx);
0035 tdb=sb.^6;
0036 %
0037 p=1-tda.*tdb;
0038 
0039 if nargout==2
0040     %
0041     dtda=-a*tda;
0042     dtdb=6*b*cos(b*xxx).*sb.^5;
0043     %
0044     dp=zeros(size(xx));
0045     dp(:,:,1)=-dtda.*tdb-tda.*dtdb;
0046 end
0047 end

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