% Ursem 4 function L. LAURENT -- 24/02/2017 -- luc.laurent@lecnam.net
0001 %% Ursem 4 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)=-1,5 0025 % 0026 %Design space -2<xi<2 0027 0028 function [p,dp] = funUrsem4(xx) 0029 0030 %constants 0031 a=3; 0032 b=pi/2; 0033 c=pi/2; 0034 d=2; 0035 e=4; 0036 0037 %evaluation and derivatives 0038 x=xx(:,:,1); 0039 y=xx(:,:,2); 0040 % 0041 sxy=sqrt(x.^2+y.^2); 0042 % 0043 pa=-a*sin(b*x+c); 0044 pb=(d-sxy)./e; 0045 % 0046 pt=pa.*pb; 0047 % 0048 p=sum(pt,3); 0049 0050 if nargout==2 0051 % 0052 dp=zeros(size(xx)); 0053 % 0054 dp(:,:,1)=-a*b*cos(b*x+c).*pb-pa.*x./(e*sxy); 0055 dp(:,:,2)=-pa.*y./(e*sxy); 0056 end 0057 end 0058