% Shekel 5 function L. LAURENT -- 19/02/2017 -- luc.laurent@lecnam.net
0001 %% Shekel 5 function 0002 % L. LAURENT -- 19/02/2017 -- 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(4,4,4,4)=-10.15270 0025 % 0026 %Design space 0<xi<10 0027 0028 0029 function [p,dp] = funShekel05(xx) 0030 0031 %constants 0032 a=[ 0033 4 4 4 4 0034 1 1 1 1 0035 8 8 8 8 0036 6 6 6 6 0037 3 7 3 7 0038 ]; 0039 c=0.1*[1 2 2 4 6]'; 0040 m=5; 0041 0042 %evaluation and derivatives 0043 sX=[size(xx,1) size(xx,2) size(xx,3)]; 0044 p=zeros(sX(1),sX(2)); 0045 for itI=1:m 0046 aI=a(itI,:); 0047 aR=reshape(aI,1,1,[]); 0048 pTmp=xx-aR(ones(1,sX(1)),ones(1:sX(2)),:); 0049 hI=c(itI)+sum(pTmp.^2,3); 0050 p=p-1./hI; 0051 end 0052 0053 0054 if nargout==2 0055 % 0056 dp=zeros(sX); 0057 for itI=1:m 0058 aI=a(itI,:); 0059 aR=reshape(aI,1,1,[]); 0060 pTmp=xx-aR(ones(1,sX(1)),ones(1:sX(2)),:); 0061 hI=c(itI)+sum(pTmp.^2,3); 0062 dhI=2*pTmp; 0063 dp=dp+dhI./hI.^2; 0064 end 0065 end 0066 end