% Adjiman's function L. LAURENT -- 31/10/2016 -- luc.laurent@lecnam.net
0001 %% Adjiman's function 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 %one local minimum 0026 %1 global minimum : x=(2,0.10578) >> f(x)=-2.02181 0027 % 0028 %design space -1<x1<2, -2<x2<2 0029 0030 0031 0032 function [p,dp]=funAdjiman(xx) 0033 0034 %responses and derivatives 0035 xxx=xx(:,:,1); 0036 yyy=xx(:,:,2); 0037 0038 % 0039 cx=cos(xxx); 0040 sy=sin(yyy); 0041 hxy=xxx./(yyy.^2+1); 0042 p=cx.*sy-hxy; 0043 % 0044 if nargout==2 0045 sx=sin(xxx); 0046 cy=cos(yyy); 0047 dp(:,:,1)=-sx.*sy-1./(yyy.^2+1); 0048 dp(:,:,2)=cx.*cy+2*xxx.*yyy./(yyy.^2+1).^2; 0049 end 0050 end