funBukin13

PURPOSE ^

% Bukin 13's function

SYNOPSIS ^

function [p,dp]=funBukin13(xx)

DESCRIPTION ^

% Bukin 13'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 13'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]=funBukin13(xx)
0027 
0028 %constants
0029 a=100;
0030 b=3;
0031 c=0.5;
0032 
0033 %evaluation and derivatives
0034 pa=xx(:,:,1)+b;
0035 pb=xx(:,:,2)-c;
0036 rho=sqrt(pa.^2+pb.^2);
0037 m=sin(b*rho).*pa-cos(b*rho).*pb;
0038 p=rho+a./rho.^2.*m.^2;
0039 if nargout==2
0040     dRhoX=pa./rho;
0041     dRhoY=pb./rho;
0042     dp(:,:,1)=dRhoX-2*a./rho.^3.*dRhoX.*(m.^2)...
0043         +2*a./rho.^2.*(b*dRhoX.*cos(b*rho).*pa+sin(b*rho)+b*dRhoX.*sin(b*rho).*pb).*m;
0044     dp(:,:,2)=dRhoY-2*a./rho.^3.*dRhoY.*(m.^2)...
0045         +2*a./rho.^2.*(b*dRhoY.*cos(b*rho).*pa-cos(b*rho)+b*dRhoY.*sin(b*rho).*pb).*m;   
0046 end
0047 end
0048

Generated on Tue 28-May-2019 16:00:34 by m2html © 2005