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