% Custom function 2 L. LAURENT -- 14/12/2017 -- luc.laurent@lecnam.net
0001 %% Custom function 2 0002 %L. LAURENT -- 14/12/2017 -- 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 % 0025 %global minimum : f(x)=-0.436559 for x=2.9844 0026 %local minimum: f(x)=0.528402 for x=9.07593 0027 % 0028 %Design space: -1<xi<15 0029 % 0030 0031 0032 function [p,dp,ddp]=funCustom02(xx) 0033 %constants 0034 a=10; 0035 b=0; 0036 0037 0038 %evaluation and derivatives 0039 % 0040 p=exp(-xx/a).*cos(xx)+1/a*xx+b; 0041 0042 % 0043 if nargout==2 0044 % 0045 dp=-exp(-xx/a).*(sin(xx)+1/a.*cos(xx))+1/a; 0046 end 0047 % 0048 if nargout==3 0049 % 0050 ddp=exp(-xx/a).*(-cos(xx)+2.*sin(xx)./a+1/a^2.*cos(xx)); 0051 end 0052 end