funJudge

PURPOSE ^

% Judge function

SYNOPSIS ^

function [p,dp]=funJudge(xx)

DESCRIPTION ^

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

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Judge 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)=16.0817307 for x=[0.86479 1.2357]
0026 %
0027 %Design space: -10<xi<10
0028 %
0029 
0030 
0031 function [p,dp]=funJudge(xx)
0032 %constants
0033 m=20;
0034 C=[4.284, 4.149, 3.877, 0.533, 2.211,...
0035     2.389, 2.145, 3.231, 1.998, 1.379,...
0036     2.106, 1.428, 1.011, 2.179, 2.858,...
0037     1.388, 1.651, 1.593, 1.046, 2.152];
0038 C=reshape(C,1,1,m);
0039 
0040 B=[0.286, 0.973, 0.384, 0.276, 0.973,...
0041     0.543, 0.957, 0.948, 0.543, 0.797,...
0042     0.936, 0.889, 0.006, 0.828, 0.399,...
0043     0.617, 0.939, 0.784, 0.072, 0.889];
0044 B=reshape(B,1,1,m);
0045 
0046 A=[0.645, 0.585, 0.310, 0.058, 0.455,...
0047     0.779, 0.259, 0.202, 0.028, 0.099,...
0048     0.142, 0.296, 0.175, 0.180, 0.842,...
0049     0.039, 0.103, 0.620, 0.158, 0.704];
0050 A=reshape(A,1,1,m);
0051 
0052 
0053 %evaluation and derivatives
0054 x=xx(:,:,1);
0055 y=xx(:,:,2);
0056 %
0057 pa=x+B.*y+A.*y.^2-C;
0058 %
0059 p=sum(pa.^2,3);
0060 
0061 %
0062 if nargout==2
0063     %
0064     dp=zeros(size(xx));
0065     %
0066     dp(:,:,1)=sum(2*pa,3);
0067     dp(:,:,2)=sum(2*(B+2*A.*y).*pa,3);
0068 end
0069 end

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