funNewFunction1

PURPOSE ^

% New Function 1 function

SYNOPSIS ^

function [p,dp]=funNewFunction1(xx)

DESCRIPTION ^

% New Function 1 function
L. LAURENT -- 20/03/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% New Function 1 function
0002 %L. LAURENT -- 20/03/2017 -- 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 %
0025 %global minimum : f(x)=-0.17894509347721144 for x=[-8.4666,-9.9988]
0026 %
0027 %Design space: -10<xi<10
0028 %
0029 
0030 
0031 function [p,dp]=funNewFunction1(xx)
0032 %constants
0033 a=100;
0034 
0035 %evaluation and derivatives
0036 x=xx(:,:,1);
0037 y=xx(:,:,2);
0038 %
0039 xy=x.^2+y;
0040 axy=abs(xy);
0041 sqxy=sqrt(axy);
0042 ca=cos(sqxy);
0043 %
0044 pb=(x+y)./a;
0045 %
0046 p=abs(ca).^(1/2)+pb;
0047 %
0048 if nargout==2
0049     %
0050     dp=zeros(size(xx));
0051     %
0052     sa=sin(sqxy);
0053     %
0054     dp(:,:,1)=-1/2*x.*sign(xy)./sqxy.*sa.*sign(ca).*abs(ca).^(-1/2)+1/a;
0055     dp(:,:,2)=-1/4.*sign(xy)./sqxy.*sa.*sign(ca).*abs(ca).^(-1/2)+1/a;
0056     %
0057 end

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