% Ursem 3 function L. LAURENT -- 24/02/2017 -- luc.laurent@lecnam.net
0001 %% Ursem 3 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(0,0)=-4.8168 0025 % 0026 %Design space -2<x1<2 -1.5<x<1.5 0027 0028 function [p,dp] = funUrsem3(xx) 0029 0030 %constants 0031 a=2.2*pi; 0032 b=pi/2; 0033 c=2; 0034 d=3; 0035 0036 %evaluation and derivatives 0037 pa=-sin(a*xx+b); 0038 pb=(c-abs(xx))./c; 0039 pc=(d-abs(xx))./c; 0040 % 0041 pt=pa.*pb.*pc; 0042 % 0043 p=sum(pt,3); 0044 % 0045 if nargout==2 0046 % 0047 dpa=-a*cos(a*xx+b); 0048 dpb=-sign(xx)./c; 0049 dpc=-sign(xx)./c; 0050 % 0051 dp=dpa.*pb.*pc+pa.*dpb.*pc+pa.*pb.*dpc; 0052 end 0053 end 0054