% Xin-She-Yang 2 function L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net
0001 %% Xin-She-Yang 2 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)=0 0025 % 0026 %Design space -2pi<xi<2pi 0027 0028 function [p,dp] = funXinSheYang2(xx) 0029 0030 %evaluation and derivatives 0031 pa=abs(xx); 0032 pb=sin(xx.^2); 0033 % 0034 pA=sum(pa,3); 0035 pB=sum(pb,3); 0036 pC=exp(pB); 0037 % 0038 p=pA./pC; 0039 0040 if nargout==2 0041 dp=(sign(xx).*pC-2*xx.*cos(xx.^2).*pC.*pA)./pC.^2; 0042 end 0043 end 0044