% Giunta function L. LAURENT -- 16/11/2016 -- luc.laurent@lecnam.net
0001 %% Giunta function 0002 %L. LAURENT -- 16/11/2016 -- 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(x1,x2)=0.06447042053690566 for (0.4673200277395354, 0.4673200169591304) 0026 % 0027 %Design space: -1<xi<1 0028 0029 function [p,dp]=funGiunta(xx) 0030 0031 %constants 0032 a=0.6; 0033 b=16/15; 0034 c=1; 0035 d=1/50; 0036 e=4; 0037 0038 %evaluation and derivatives 0039 pa=sin(b*xx-c); 0040 pb=sin(e*(b*xx-c)); 0041 pc=pa+pa.^2+d*pb; 0042 p=a+sum(pc,3); 0043 % 0044 if nargout==2 0045 dp=b*cos(b*xx-c)+2*b*pa.*cos(b*xx-c)+d*e*b*cos(e*(b*xx-c)); 0046 end 0047 end