% Viennet 3rd objective function L. LAURENT -- 09/05/2018 -- luc.laurent@lecnam.net
0001 %% Viennet 3rd objective function 0002 %L. LAURENT -- 09/05/2018 -- 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 function [p,dp]=funObjViennet3(xx) 0025 0026 %constant 0027 a=1.1; 0028 0029 %responses and derivatives 0030 xxx=xx(:,:,1); 0031 yyy=xx(:,:,2); 0032 % 0033 td=xxx.^2+yyy.^2; 0034 tda=1./(td+1); 0035 tdb=exp(-td); 0036 % 0037 p=tda.*tdb; 0038 0039 if nargout==2 0040 % 0041 tdx=2*xxx; 0042 tdy=2*yyy; 0043 % 0044 tdax=-tdx.*tda.^2; 0045 tday=-tdy.*tda.^2; 0046 % 0047 tdbx=-tdx.*tdb; 0048 tdby=-tdy.*tdb; 0049 % 0050 dp(:,:,1)=tdax.*tdb+tda.*tdbx; 0051 dp(:,:,2)=tday.*tdb+tda.*tdby; 0052 % 0053 end 0054 end