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