funDeckkersAarts

PURPOSE ^

% Deckkers-Aarts function

SYNOPSIS ^

function [p,dp]=funDeckkersAarts(xx)

DESCRIPTION ^

% Deckkers-Aarts function
L. LAURENT -- 05/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Deckkers-Aarts function
0002 %L. LAURENT -- 05/11/2016 -- 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 %4 global minimas : f(x1,x2,x3,x4)=-24777 for {(0,-15), (0,15)}
0026 %
0027 %Design space: -20<xi<20
0028 
0029 
0030 function [p,dp]=funDeckkersAarts(xx)
0031 
0032 %constants
0033 a=1e5;
0034 
0035 %variables
0036 xxx=xx(:,:,1);
0037 yyy=xx(:,:,2);
0038 
0039 %evaluation and derivatives
0040 pa=a*xxx.^2+yyy.^2;
0041 pb=xxx.^2+yyy.^2;
0042 p=pa-pb.^2+1/a*pb.^4;
0043 %
0044 if nargout==2
0045     dp(:,:,1)=2*a*xxx-4*xxx.*pb+8/a*xxx.*pb.^3;
0046     dp(:,:,2)=2*yyy-4*yyy.*pb+8/a*yyy.*pb.^3;
0047 end
0048 end

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