% Bukin 16's function L. LAURENT -- 01/11/2016 -- luc.laurent@lecnam.net
0001 %% Bukin 16'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]=funBukin16(xx) 0027 0028 %constants 0029 a=1000; 0030 b=1; 0031 c=10; 0032 d=3; 0033 0034 0035 %evaluation and derivatives 0036 pa=xx(:,:,2)+b*xx(:,:,1)-c; 0037 pb=d*xx(:,:,2)-xx(:,:,1)+c; 0038 pc=d*xx(:,:,1)-xx(:,:,2)+c; 0039 pd=xx(:,:,1)+xx(:,:,2)+c; 0040 p=a*abs(pa.*pb.*pc)+abs(pd); 0041 if nargout==2 0042 dp(:,:,1)=a*(b*pb.*pc-pa.*pc+d*pa.*pb).*sign(pa.*pb.*pc)+sign(pd); 0043 dp(:,:,2)=a*(pb.*pc+d*pa.*pc-pa.*pb).*sign(pa.*pb.*pc)+sign(pd); 0044 end 0045 end 0046