% Townsend function (objective function) L. LAURENT -- 02/05/2018 -- luc.laurent@lecnam.net
0001 %% Townsend function (objective function) 0002 %L. LAURENT -- 02/05/2018 -- 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]=funTownsend(xx) 0025 0026 %constants 0027 a=0.1; 0028 b=3; 0029 0030 %responses and derivatives 0031 xxx=xx(:,:,1); 0032 yyy=xx(:,:,2); 0033 % 0034 cxy=cos((xxx-a).*yyy); 0035 sxy=sin(b*xxx+yyy); 0036 % 0037 p=-cxy.^2-xxx.*sxy; 0038 0039 if nargout==2 0040 sxya=sin((xxx-a).*yyy); 0041 % 0042 dp(:,:,1)=2*yyy.*sxya.*cxy-sxy-b*xxx.*cos(b*xxx+yyy); 0043 dp(:,:,2)=2*(xxx-a).*sxya.*cxy-xxx.*cos(b*xxx+yyy); 0044 end 0045 end