% Box-Betts Quadratic Sum function L. LAURENT -- 31/10/2016 -- luc.laurent@lecnam.net
0001 %% Box-Betts Quadratic Sum function 0002 %L. LAURENT -- 31/10/2016 -- 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 % 0025 %one local minimum 0026 %1 global minimum : x=(1, 10, 1) >> f(x)=0 0027 % 0028 %design space 0.9<x1,x3<1.2 and 9<x2<11.2 0029 0030 0031 0032 function [p,dp]=funBoxBetts(xx) 0033 0034 fprintf('TO BE FIXED\n') 0035 0036 %constants 0037 a=0.1; 0038 nbt=10; 0039 0040 %responses and derivatives 0041 xxx=xx(:,:,1); 0042 yyy=xx(:,:,2); 0043 zzz=xx(:,:,3); 0044 0045 p=zeros(size(xxx)); 0046 0047 funG=@(x1,x2,x3,j)exp(-a*j.*x1)-exp(-a*j.*x2)-(exp(-a*j)-exp(-j)).*x3; 0048 for it=1:nbt 0049 p=p+funG(xxx,yyy,zzz,it).^2; 0050 end 0051 0052 if nargout==2 0053 dp=zeros(size(xxx,1),size(xxx,2),3); 0054 for it=1:nbt 0055 dp(:,:,1)=dp(:,:,1)-a*it*exp(-a*it.*xxx); 0056 dp(:,:,2)=dp(:,:,2)+a*it*exp(-a*it.*yyy); 0057 dp(:,:,3)=dp(:,:,3)-exp(-a*it)+exp(-it); 0058 end 0059 end 0060 end 0061