funPrice3

PURPOSE ^

% Price 3 function

SYNOPSIS ^

function [p,dp]=funPrice3(xx)

DESCRIPTION ^

% Price 3 function
L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Price 3 function
0002 %L. LAURENT -- 17/11/2016 -- 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(x)=0 for x=(1,1)
0026 %
0027 %Design space: -500<xi<500
0028 
0029 
0030 function [p,dp]=funPrice3(xx)
0031 
0032 %constants
0033 a=100;
0034 b=6;
0035 c=6.4;
0036 d=0.6;
0037 e=0.5;
0038 
0039 %variables
0040 xxx=xx(:,:,1);
0041 yyy=xx(:,:,2);
0042 
0043 %evaluation and derivatives
0044 pa=yyy-xxx.^2;
0045 pb=c*(yyy-e).^2-xxx-d;
0046 %
0047 p=a.*pa.^2+b*pb.^2;
0048 
0049 if nargout==2
0050     dp(:,:,1)=-4*a*xxx.*pa-2*b*pb;
0051     dp(:,:,2)=2*a*pa+4*b*c*(yyy-e).*pb;
0052 end
0053 end

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