funBoxBetts

PURPOSE ^

% Box-Betts Quadratic Sum function

SYNOPSIS ^

function [p,dp]=funBoxBetts(xx)

DESCRIPTION ^

% Box-Betts Quadratic Sum function
L. LAURENT -- 31/10/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

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

Generated on Tue 28-May-2019 16:00:34 by m2html © 2005