% Xin-She-Yang 1 function L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net
0001 %% Xin-She-Yang 1 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 -5<xi<5 0027 0028 function [p,dp] = funXinSheYang1(xx) 0029 0030 %constants 0031 sX=size(xx); 0032 ee=rand(sX); % maybe not the right expression rand(1,1,sX(3)) 0033 0034 %evaluation and derivatives 0035 li=reshape(1:sX(3),1,1,sX(3)); 0036 % 0037 pA=ee.*abs(xx).^li; 0038 % 0039 p=sum(pA,3); 0040 0041 if nargout==2 0042 dp=ee.*li.*sign(xx).*abs(xx).^(li-1); 0043 %debug 0044 end 0045 end 0046