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