% Bukin 10's function L. LAURENT -- 01/11/2016 -- luc.laurent@lecnam.net
0001 %% Bukin 10's function 0002 %L. LAURENT -- 01/11/2016 -- 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 0026 function [p,dp]=funBukin10(xx) 0027 0028 %constants 0029 a=1000; 0030 b=20; 0031 c=270; 0032 d=3; 0033 e=30; 0034 0035 %evaluation and derivatives 0036 pa=xx(:,:,1).^2+b*abs(xx(:,:,1))+xx(:,:,2).^2-c; 0037 pb=d*xx(:,:,1)+xx(:,:,2)+e; 0038 p=a*pa.^2+abs(pb); 0039 if nargout==2 0040 dp(:,:,1)=2*a.*(2*xx(:,:,1)+b*sign(xx(:,:,1))).*pa+d*sign(pb); 0041 dp(:,:,2)=4*a.*xx(:,:,2).*pa+sign(pb); 0042 end 0043 end