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