funDropWave

PURPOSE ^

% Drop Wave function

SYNOPSIS ^

function [p,dp]=funDropWave(xx)

DESCRIPTION ^

% Drop Wave function
L. LAURENT -- 16/03/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Drop Wave function
0002 %L. LAURENT -- 16/03/2017 -- 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)=-1 for xi=0
0026 %
0027 %Design space: -5.12<xi<5.12
0028 %
0029 
0030 
0031 
0032 function [p,dp]=funDropWave(xx)
0033 %constants
0034 a=1;
0035 b=12;
0036 c=2;
0037 d=1/2;
0038 
0039 %evaluation and derivatives
0040 sxx=sum(xx.^2,3);
0041 pa=a+cos(b*sxx);
0042 pb=c+d*sxx;
0043 %
0044 p=-pa./pb;
0045 %
0046 
0047 %
0048 if nargout==2
0049     %
0050     dp=(2*b*xx.*sin(b*sxx).*pb+2*d*xx.*pa)./pb.^2;
0051 end
0052 end

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