funEasom

PURPOSE ^

% Easom's function

SYNOPSIS ^

function [p,dp]=funEasom(xx)

DESCRIPTION ^

% Easom's function
L. LAURENT -- 15/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Easom's function
0002 %L. LAURENT -- 15/11/2016 -- 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 %4 global minimas : f(x1,x2)=-1 for (pi,pi)
0026 %
0027 %Design space: -100<xi<100
0028 
0029 
0030 function [p,dp]=funEasom(xx)
0031 
0032 %constants
0033 a=pi;
0034 
0035 %variables
0036 xxx=xx(:,:,1);
0037 yyy=xx(:,:,2);
0038 
0039 %evaluation and derivatives
0040 cx=cos(xxx);
0041 cy=cos(yyy);
0042 xp=xxx-a;
0043 yp=yyy-a;
0044 exy=exp(-xp.^2-yp.^2);
0045 p=-cx.*cy.*exy;
0046 %
0047 if nargout==2
0048     sx=sin(xxx);
0049     sy=sin(yyy);
0050     %
0051     dp(:,:,1)=exy.*(sx.*cy+2*xp.*cx.*cy);
0052     dp(:,:,2)=exy.*(sy.*cx+2*yp.*cx.*cy);
0053 end
0054 end

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