funBird

PURPOSE ^

% Bird's function

SYNOPSIS ^

function [p,dp]=funBird(xx)

DESCRIPTION ^

% Bird'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 %% Bird'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={(4.70104,3.15294),(-1.58214, -3.13024)} >> f(x)=-106.764537
0027 %
0028 %design space -2pi<xi<2pi
0029 
0030 
0031 
0032 function [p,dp]=funBird(xx)
0033 
0034 %evaluate responses
0035 xxx=xx(:,:,1);
0036 yyy=xx(:,:,2);
0037 sx=sin(xxx);
0038 cy=cos(yyy);
0039 ex1=exp((1-cy).^2);
0040 ex2=exp((1-sx).^2);
0041 fxy=(xxx-yyy).^2;
0042 p=sx.*ex1+cy.*ex2+fxy;
0043 
0044 %evaluate derivatives
0045 if nargout==2
0046     cx=cos(xxx);
0047     sy=sin(yyy);
0048     dp(:,:,1)=cx.*ex1-2*cy.*cx.*(1-sx).*ex2+2*(xxx-yyy);
0049     dp(:,:,2)=2*sx.*sy.*(1-cy).*ex1-sy.*ex2-2*(xxx-yyy);
0050 end
0051 end

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