funBukin16

PURPOSE ^

% Bukin 16's function

SYNOPSIS ^

function [p,dp]=funBukin16(xx)

DESCRIPTION ^

% Bukin 16's function
L. LAURENT -- 01/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

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

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