funZimmerman

PURPOSE ^

% Zimmerman function

SYNOPSIS ^

function [p,dp] = funZimmerman(xx)

DESCRIPTION ^

% Zimmerman function
 L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Zimmerman function
0002 % L. LAURENT -- 28/02/2017 -- 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 %1 minimum global: f(7,2)=0
0025 %
0026 %Design space 0<xi<100
0027 
0028 function [p,dp] = funZimmerman(xx)
0029 
0030 %constants
0031 a=9;
0032 b=3;
0033 c=2;
0034 d=14;
0035 e=100;
0036 
0037 %evaluation and derivatives
0038 x=xx(:,:,1);
0039 y=xx(:,:,2);
0040 %
0041 Zh1=a-x-y;
0042 Zh2=(x-b).^2+(y-c).^2;
0043 Zh3=x.*y-d;
0044 Zp=@(t)e*(a+t);
0045 %
0046 pA(:,:,1)=Zh1;
0047 pA(:,:,2)=Zp(Zh2).*sign(Zh2);
0048 pA(:,:,3)=Zp(Zh3).*sign(Zh3);
0049 pA(:,:,4)=Zp(-x).*sign(x);
0050 pA(:,:,5)=Zp(-y).*sign(y);
0051 %
0052 if nargout==1
0053     p=max(pA,[],3);
0054 else
0055     [p,Ip]=max(abs(xx),[],3);
0056 end
0057 
0058 if nargout==2   
0059     Zh1dX=-ones(size(p));
0060     Zh1dY=-ones(size(p));
0061     Zh2dX=2*(x-b),
0062     Zh2dY=2*(y-c);
0063     Zh3dX=y;
0064     Zh3dX=x;
0065     dp=zeros(size(xx));
0066 end
0067 end
0068

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