funChichinadze

PURPOSE ^

% Chichinadze's function

SYNOPSIS ^

function [p,dp]=funChichinadze(xx)

DESCRIPTION ^

% Chichinadze's function
L. LAURENT -- 04/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Chichinadze's function
0002 %L. LAURENT -- 04/11/2016 -- 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 %1 global minimum
0026 %f(x1,x2)=-42.94438701899098  for (x1,x2)=(6.189866586965680,0.5)
0027 %
0028 %Design space: -500<x1,x2<500
0029 
0030 
0031 
0032 
0033 function [p,dp]=funChichinadze(xx)
0034 
0035 %constants
0036 a=12;
0037 b=11;
0038 c=10;
0039 d=pi/2;
0040 e=8;
0041 f=5*d;
0042 g=0.2*sqrt(5);
0043 h=1/2;
0044 
0045 %variables
0046 xxx=xx(:,:,1);
0047 yyy=xx(:,:,2);
0048 
0049 %evaluations and derivatives
0050 pa=xxx.^2-a*xxx+b;
0051 pb=c*cos(d*xxx)+e*sin(f*xxx);
0052 pc=exp(-h*(yyy-h).^2);
0053 %
0054 p=pa+pb+g*pc;
0055 
0056 if nargout==2
0057     dp(:,:,1)=2*xxx-a...
0058         -c*d*sin(d*xxx)+e*f*cos(f*xxx);
0059     dp(:,:,2)=-2*h*g*yyy.*pc;
0060 end
0061 end

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