funConsSimionescu

PURPOSE ^

% Constraint function used in problems: Simionescu

SYNOPSIS ^

function [g,dg]=funConsSimionescu(xx)

DESCRIPTION ^

% Constraint function used in problems: Simionescu
L. LAURENT -- 02/05/2018 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Constraint function used in problems: Simionescu
0002 %L. LAURENT -- 02/05/2018 -- 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 function [g,dg]=funConsSimionescu(xx)
0025 
0026 %constants
0027 rt=1;
0028 rs=0.2;
0029 n=8;
0030 
0031 % contraint
0032 xxx=xx(:,:,1);
0033 yyy=xx(:,:,2);
0034 %
0035 t=atan2(xxx,yyy);
0036 %
0037 td=rt+rs.*cos(n*t);
0038 %
0039 g=xxx.^2+yyy.^2-td.^2;
0040 
0041 %and their derivatives
0042 if nargout>1
0043     dtx=yyy./(xxx.^2+yyy.^2);
0044     dty=-xxx./(xxx.^2+yyy.^2);
0045     %
0046     dg(:,:,1)=2*xxx+2*n*rs*dtx.*sin(n*t).*td;
0047     dg(:,:,2)=2*yyy+2*n*rs*dty.*sin(n*t).*td;
0048 end
0049 end

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