funMystery

PURPOSE ^

% "Mystery" function (Sasena 2002)

SYNOPSIS ^

function [p,dp]=funMystery(xx)

DESCRIPTION ^

% "Mystery" function (Sasena 2002)
L. LAURENT -- 01/04/2011 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% "Mystery" function (Sasena 2002)
0002 %L. LAURENT -- 01/04/2011 -- 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 %3 local minima
0026 %1 global minimum: f(x)=-1.4565 pour x={2.5044,2.5778}
0027 %
0028 %design space: 0<xi<5
0029 
0030 function [p,dp]=funMystery(xx)
0031 
0032 a=2;
0033 b=0.01;
0034 c=2;
0035 d=2;
0036 e=7;
0037 f=0.5;
0038 g=0.7;
0039 
0040 %responses and derivatives
0041 xxx=xx(:,:,1);
0042 yyy=xx(:,:,2);
0043 
0044 myst=a+b*(yyy-xxx.^2).^2+(1-xxx).^2+c*(d-yyy).^2+e*sin(f*xxx).*sin(g*xxx.*yyy);
0045 p=myst;
0046 if nargout==2
0047     dmyst(:,:,1)=-b*4*(yyy-xxx.^2)-2*(1-xxx)+...
0048         e*f*cos(f*xxx).*sin(g*xxx.*yyy)+e*g*yyy.*sin(f*xxx).*cos(g*xxx.*yyy);
0049     dmyst(:,:,2)=2*b*(yyy-xxx.^2)-4*(d-yyy)+e*g*xxx.*sin(f*xxx).*cos(g*xxx.*yyy);
0050     dp=dmyst;
0051 end
0052 end

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