% Alpine's function 1 L. LAURENT -- 31/10/2016 -- luc.laurent@lecnam.net
0001 %% Alpine's function 1 0002 %L. LAURENT -- 31/10/2016 -- 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 %numerous local minima 0026 %1 global minimum : x=(0,0,...,0) >> f(x)=0 0027 % 0028 %design space -10<xi<10 0029 0030 0031 function [p,dp]=funAlpine1(xx) 0032 0033 %constants 0034 a=0.1; 0035 0036 %responses and derivatives 0037 fx=xx.*sin(xx)+a*xx; 0038 p=sum(abs(fx),3); 0039 if nargout==2 0040 dp=sign(fx).*(sin(xx)+0.1+xx.*cos(xx)); 0041 end 0042 end