funUrsem1

PURPOSE ^

% Ursem 1 function

SYNOPSIS ^

function [p,dp] = funUrsem01(xx)

DESCRIPTION ^

% Ursem 1 function
 L. LAURENT -- 24/02/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Ursem 1 function
0002 % L. LAURENT -- 24/02/2017 -- 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 %1 minimum global: f(1.69714,0)=-4.8168
0025 %
0026 %Design space -2.5<x1<3 -2<x<2
0027 
0028 function [p,dp] = funUrsem01(xx)
0029 
0030 %constants
0031 a=2;
0032 b=pi/2;
0033 c=3;
0034 d=1/2;
0035 
0036 %evaluation and derivatives
0037 x=xx(:,:,1);
0038 y=xx(:,:,2);
0039 %
0040 pa=-sin(a*x-b);
0041 pb=-c*cos(y);
0042 %
0043 p=pa+pb-d*x;
0044 
0045 if nargout==2
0046     %
0047     dp=zeros(size(xx));
0048     %
0049     dp(:,:,1)=-a*cos(a*x-b)-d;
0050     dp(:,:,2)=c*sin(y);      
0051 end
0052 end
0053

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