% Quartic function L. LAURENT -- 19/11/2016 -- luc.laurent@lecnam.net
0001 %% Quartic function 0002 %L. LAURENT -- 19/11/2016 -- 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 %global minimum : f(x)=0 for xi=(1 or 2) 0026 % 0027 %Design space: -10<xi<10 0028 0029 0030 function [p,dp]=funQuintic(xx) 0031 0032 %constants 0033 a=3; 0034 b=4; 0035 c=2; 0036 d=10; 0037 e=4; 0038 0039 %evaluation and derivatives 0040 pa=xx.^5-a*xx.^4+b*xx.^3+c*xx.^2-d*xx-e; 0041 % 0042 p=sum(abs(pa),3); 0043 0044 if nargout==2 0045 dp=(5*xx.^4-4*a*xx.^3+3*b*xx.^2+2*c*xx-d).*sign(pa); 0046 end 0047 end