% Shekel 10 function L. LAURENT -- 19/02/2017 -- luc.laurent@lecnam.net
0001 %% Shekel 10 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)=-10.53628 0025 % 0026 %Design space 0<xi<10 0027 0028 0029 function [p,dp] = funShekel10(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 2 9 2 9 0039 5 5 3 3 0040 8 1 8 1 0041 6 2 6 2 0042 7 3.6 7 3.6 0043 ]; 0044 c=0.1*[1 2 2 4 4 6 3 7 5 5]'; 0045 m=10; 0046 0047 %evaluation and derivatives 0048 sX=[size(xx,1) size(xx,2) size(xx,3)]; 0049 p=zeros(sX(1),sX(2)); 0050 for itI=1:m 0051 aI=a(itI,:); 0052 aR=reshape(aI,1,1,[]); 0053 pTmp=xx-aR(ones(1,sX(1)),ones(1:sX(2)),:); 0054 hI=c(itI)+sum(pTmp.^2,3); 0055 p=p-1./hI; 0056 end 0057 0058 0059 if nargout==2 0060 % 0061 dp=zeros(sX); 0062 for itI=1:m 0063 aI=a(itI,:); 0064 aR=reshape(aI,1,1,[]); 0065 pTmp=xx-aR(ones(1,sX(1)),ones(1:sX(2)),:); 0066 hI=c(itI)+sum(pTmp.^2,3); 0067 dhI=2*pTmp; 0068 dp=dp+dhI./hI.^2; 0069 end 0070 end 0071 end