funGiunta

PURPOSE ^

% Giunta function

SYNOPSIS ^

function [p,dp]=funGiunta(xx)

DESCRIPTION ^

% Giunta function
L. LAURENT -- 16/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Giunta function
0002 %L. LAURENT -- 16/11/2016 -- 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 %global minimum : f(x1,x2)=0.06447042053690566 for (0.4673200277395354, 0.4673200169591304)
0026 %
0027 %Design space: -1<xi<1
0028 
0029 function [p,dp]=funGiunta(xx)
0030 
0031 %constants
0032 a=0.6;
0033 b=16/15;
0034 c=1;
0035 d=1/50;
0036 e=4;
0037 
0038 %evaluation and derivatives
0039 pa=sin(b*xx-c);
0040 pb=sin(e*(b*xx-c));
0041 pc=pa+pa.^2+d*pb;
0042 p=a+sum(pc,3);
0043 %
0044 if nargout==2
0045     dp=b*cos(b*xx-c)+2*b*pa.*cos(b*xx-c)+d*e*b*cos(e*(b*xx-c));
0046 end
0047 end

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