funMieleCantrell

PURPOSE ^

% Miele Cantrell's function

SYNOPSIS ^

function [p,dp]=funMieleCantrell(xx)

DESCRIPTION ^

% Miele Cantrell's function
L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Miele Cantrell's 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(x1,x2,x3,x4)=0 for (x1,x2,x3,x4)=(0,1,1,1)
0026 %
0027 %Design space: -1<xi<1
0028 
0029 
0030 function [p,dp]=funMieleCantrell(xx)
0031 %constants
0032 a=100;
0033 
0034 %variables
0035 xxx=xx(:,:,1);
0036 yyy=xx(:,:,2);
0037 zzz=xx(:,:,3);
0038 uuu=xx(:,:,4);
0039 
0040 %evaluation and derivatives
0041 pa=exp(-xxx)-yyy;
0042 pb=yyy-zzz;
0043 pc=zzz-uuu;
0044 %
0045 p=pa.^4+a*pb.^6+tan(pc).^4+xxx.^8;
0046 
0047 if nargout==2
0048     dp(:,:,1)=-4*exp(-xxx).*pa.^3+8*xxx.^7;
0049     dp(:,:,2)=-4*pa.^3+6*a*pb.^5;
0050     dp(:,:,3)=-6*a*pb.^5+4*(1+tan(pc).^2).*tan(pc).^3;
0051     dp(:,:,4)=-4*(1+tan(pc).^2).*tan(pc).^3;
0052 end
0053 end

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