% Zirilli function L. LAURENT -- 28/02/2017 -- luc.laurent@lecnam.net
0001 %% Zirilli function 0002 % L. LAURENT -- 28/02/2017 -- 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(-1.0465,0)=-0.3523 0025 % 0026 %Design space -10<xi<10 0027 0028 function [p,dp] = funZirilli(xx) 0029 0030 %constants 0031 a=1/4; 0032 b=1/2; 0033 c=0.1; 0034 d=1/2; 0035 0036 %evaluation and derivatives 0037 x=xx(:,:,1); 0038 y=xx(:,:,2); 0039 % 0040 p=a*x.^4-b*x.^2+c*x+d*y.^2; 0041 0042 if nargout==2 0043 dp=zeros(size(xx)); 0044 % 0045 dp(:,:,1)=4*a*x.^3-2*b*x+c; 0046 dp(:,:,2)=2*d*y; 0047 end 0048 end 0049