funTubeHolder

PURPOSE ^

% Test Tube Holder function

SYNOPSIS ^

function [p,dp] = funTubeHolder(xx)

DESCRIPTION ^

% Test Tube Holder function
 L. LAURENT -- 22/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Test Tube Holder function
0002 % L. LAURENT -- 22/02/2017 -- 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 %1 minimum global: f(pi/2,0)=-10.872299901558
0025 %
0026 %Design space -10<xi<10
0027 
0028 
0029 function [p,dp] = funTubeHolder(xx)
0030 
0031 %constants
0032 a=4;
0033 b=1/200;
0034 
0035 %evaluation and derivatives
0036 x=xx(:,:,1);
0037 y=xx(:,:,2);
0038 %
0039 pa=b*x.^2+b*y.^2;
0040 ca=cos(pa);
0041 sx=sin(x);
0042 cy=cos(y);
0043 %
0044 g=exp(abs(ca)).*sx.*cy;
0045 p=-a*abs(g);
0046 
0047 if nargout==2
0048     %
0049     cx=cos(x);
0050     sy=sin(y);
0051     dk(:,:,1)=cx.*cy;
0052     dk(:,:,2)=-sx.*sy;
0053     %
0054     sa=sin(pa);
0055     dh=-2*b*xx.*sa.*sign(ca);
0056     %
0057     dg=dh.*g+exp(abs(ca)).*dk;
0058     %
0059     dp=-a*dg.*sign(g);
0060 end
0061 end

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