funMishra04

PURPOSE ^

% Mishra 4 function

SYNOPSIS ^

function [p,dp]=funMishra04(xx)

DESCRIPTION ^

% Mishra 4 function
L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Mishra 4 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)=--0.1971881 for x=(-9.94112, -9.99952)
0026 %
0027 %Design space: -10<xi<10
0028 
0029 
0030 function [p,dp]=funMishra04(xx)
0031 
0032 %constants
0033 a=1e-2;
0034 
0035 %variables
0036 xxx=xx(:,:,1);
0037 yyy=xx(:,:,2);
0038 
0039 %evaluation and derivatives
0040 pa=xxx.^2+yyy;
0041 pb=xxx+yyy;
0042 %
0043 pc=abs(pa);
0044 pd=sqrt(pc);
0045 %
0046 p=sqrt(abs(sin(pd)))+a*pb;
0047 
0048 if nargout==2
0049     dp(:,:,1)=0.5*xxx./pd...
0050         .*cos(pd)...
0051         .*sign(sin(pd))...
0052         .*sign(pa)...
0053         ./sqrt(abs(sin(pd)))...
0054         +a;
0055     dp(:,:,2)=0.25./pd...
0056         .*cos(pd)...
0057         .*sign(sin(pd))...
0058         .*sign(pa)...
0059         ./sqrt(abs(sin(pd)))...
0060         +a;
0061 end
0062 end

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