funBrad

PURPOSE ^

% Bard's function

SYNOPSIS ^

function [p,dp]=funBrad(xx)

DESCRIPTION ^

% Bard's function
L. LAURENT -- 31/10/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Bard's 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=(0.0824, 1.133, 2.3437) >> f(x)=0.00821487
0027 %
0028 %design space -0.25<x1<0.25, 0.01<x2,x3<2.5
0029 
0030 
0031 
0032 function [p,dp]=funBrad(xx)
0033 fprintf('NE TO BE DEBUGGED\n');
0034 %constants
0035 nbt=15;
0036 u=1:nbt;
0037 v=16-u;
0038 w=min([u',v'],[],2);
0039 y=[0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, 0.96, 1.34, 2.10, 4.39];
0040 
0041 %responses and derivatives
0042 xxx=xx(:,:,1);
0043 yyy=xx(:,:,2);
0044 zzz=xx(:,:,3);
0045 
0046 p=zeros(size(xxx));
0047 for it=1:nbt
0048     p=p+((y(it)-xxx-u(it))./(v(it).*yyy+w(it).*zzz)).^2;
0049 end
0050 if nargout==2
0051     dp=zeros(size(xxx,1),size(xxx,2),3);
0052     for it=1:nbt
0053         mult=(y(it)-xxx-u(it))./(v(it).*yyy+w(it).*zzz);
0054         dp(:,:,1)=dp(:,:,1)-2./(v(it).*yyy+w(it).*zzz).*mult;
0055         dp(:,:,2)=dp(:,:,2)-(y(it)-xxx-u(it))*v(it)./(v(it).*yyy+w(it).*zzz).^2.*mult;
0056         dp(:,:,3)=dp(:,:,3)-(y(it)-xxx-u(it))*w(it)./(v(it).*yyy+w(it).*zzz).^2.*mult;
0057     end
0058 end
0059 end

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