funShekel10

PURPOSE ^

% Shekel 10 function

SYNOPSIS ^

function [p,dp] = funShekel10(xx)

DESCRIPTION ^

% Shekel 10 function
 L. LAURENT -- 19/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Shekel 10 function
0002 % L. LAURENT -- 19/02/2017 -- 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(4,4,4,4)=-10.53628
0025 %
0026 %Design space 0<xi<10
0027 
0028 
0029 function [p,dp] = funShekel10(xx)
0030 
0031 %constants
0032 a=[
0033     4 4 4 4
0034     1 1 1 1
0035     8 8 8 8
0036     6 6 6 6
0037     3 7 3 7
0038     2 9 2 9
0039     5 5 3 3
0040     8 1 8 1
0041     6 2 6 2
0042     7 3.6 7 3.6
0043     ];
0044 c=0.1*[1 2 2 4 4 6 3 7 5 5]';
0045 m=10;
0046 
0047 %evaluation and derivatives
0048 sX=[size(xx,1) size(xx,2) size(xx,3)];
0049 p=zeros(sX(1),sX(2));
0050 for itI=1:m
0051     aI=a(itI,:);
0052     aR=reshape(aI,1,1,[]);
0053     pTmp=xx-aR(ones(1,sX(1)),ones(1:sX(2)),:);
0054     hI=c(itI)+sum(pTmp.^2,3);
0055     p=p-1./hI;
0056 end
0057 
0058 
0059 if nargout==2
0060     %
0061     dp=zeros(sX);
0062     for itI=1:m
0063         aI=a(itI,:);
0064         aR=reshape(aI,1,1,[]);
0065         pTmp=xx-aR(ones(1,sX(1)),ones(1:sX(2)),:);
0066         hI=c(itI)+sum(pTmp.^2,3);
0067         dhI=2*pTmp;
0068         dp=dp+dhI./hI.^2;
0069     end
0070 end
0071 end

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