% Rotated Ellipse function 2 L. LAURENT -- 14/02/2017 -- luc.laurent@lecnam.net
0001 %% Rotated Ellipse function 2 0002 % L. LAURENT -- 14/02/2017 -- 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(0,0)=0 0025 % 0026 %Design space -500<xi<500 0027 0028 0029 function [p,dp] = funRotatedEllipse2(xx) 0030 0031 %constants 0032 a=7; 0033 b=6*sqrt(3); 0034 c=13; 0035 0036 %evaluation and derivatives 0037 p=a*xx(:,:,1).^2-b*xx(:,:,1).*xx(:,:,2)+c*xx(:,:,2).^2; 0038 0039 0040 if nargout==2 0041 % 0042 dp=zeros(size(xx)); 0043 dp(:,:,1)=2*a*xx(:,:,1)-b*xx(:,:,2); 0044 dp(:,:,2)=-b*xx(:,:,1)+2*c*xx(:,:,2); 0045 end 0046 end