funXinSheYang4

PURPOSE ^

% Xin-She-Yang 4 function

SYNOPSIS ^

function [p,dp] = funXinSheYang4(xx)

DESCRIPTION ^

% Xin-She-Yang 4 function
 L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Xin-She-Yang 4 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(0,...,0)=-1
0025 %
0026 %Design space -10<xi<10
0027 
0028 function [p,dp] = funXinSheYang4(xx)
0029 
0030 
0031 %evaluation and derivatives
0032 pa=sin(xx);
0033 pAA=sum(pa.^2,3);
0034 %
0035 pb=xx.^2;
0036 pB=sum(pb,3);
0037 pBB=exp(-pB);
0038 %
0039 pc=sin(sqrt(abs(xx)));
0040 pC=sum(pc.^2,3);
0041 pCC=exp(-pC);
0042 %
0043 p=(pAA-pBB).*pCC;
0044 
0045 if nargout==2
0046     dp=2*(pa.*cos(xx)+xx.*pBB).*pCC ...
0047         -(pAA-pBB).*sign(xx)./sqrt(abs(xx)).*pc.*cos(sqrt(abs(xx))).*pCC;
0048 end
0049 end
0050

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