% Hosaki function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Hosaki function 0002 %L. LAURENT -- 17/11/2016 -- 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)=-2.3458 for (x1,x2)=(4,2) 0026 % 0027 %Design space: 0<xi<5 0028 0029 0030 function [p,dp]=funHosaki(xx) 0031 %constants 0032 a=1; 0033 b=8; 0034 c=7; 0035 d=7/3; 0036 e=1/4; 0037 0038 %variables 0039 xxx=xx(:,:,1); 0040 yyy=xx(:,:,2); 0041 0042 %evaluation and derivatives 0043 pa=a-b*xxx+c*xxx.^2-d*xxx.^3+e*xxx.^4; 0044 pb=exp(-yyy); 0045 % 0046 p=pa.*yyy.^2.*pb; 0047 0048 if nargout==2 0049 dp(:,:,1)=(-b+2*c*xxx-3*d*xxx.^2+4*e*xxx.^3).*yyy.^2.*pb; 0050 dp(:,:,2)=pa.*pb.*(2*yyy-yyy.^2); 0051 end 0052 end