funBukin07

PURPOSE ^

% Bukin 7's function

SYNOPSIS ^

function [p,dp]=funBukin07(xx)

DESCRIPTION ^

% Bukin 7'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 7'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]=funBukin07(xx)
0027 
0028 %constants
0029 a=100;
0030 b=25;
0031 c=5;
0032 d=exp(5);
0033 
0034 %evaluation and derivatives
0035 pa=b+xx(:,:,1).*xx(:,:,2);
0036 spa=sqrt(abs(pa));
0037 pb=xx(:,:,1)+exp(xx(:,:,2))-d+c;
0038 spb=sqrt(abs(pb));
0039 p=a*spa+a*spb;
0040 if nargout==2
0041     dp(:,:,1)=a*sign(pa).*xx(:,:,2)./(2*spa)+a*sign(pb)./(2*spb);
0042     dp(:,:,2)=a*sign(pa).*xx(:,:,1)./(2*spa)+a*sign(pb).*exp(xx(:,:,2))./(2*spb);   
0043 end
0044 end

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