% Test Tube Holder function L. LAURENT -- 22/02/2017 -- luc.laurent@lecnam.net
0001 %% Test Tube Holder function 0002 % L. LAURENT -- 22/02/2017 -- 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 %1 minimum global: f(pi/2,0)=-10.872299901558 0025 % 0026 %Design space -10<xi<10 0027 0028 0029 function [p,dp] = funTubeHolder(xx) 0030 0031 %constants 0032 a=4; 0033 b=1/200; 0034 0035 %evaluation and derivatives 0036 x=xx(:,:,1); 0037 y=xx(:,:,2); 0038 % 0039 pa=b*x.^2+b*y.^2; 0040 ca=cos(pa); 0041 sx=sin(x); 0042 cy=cos(y); 0043 % 0044 g=exp(abs(ca)).*sx.*cy; 0045 p=-a*abs(g); 0046 0047 if nargout==2 0048 % 0049 cx=cos(x); 0050 sy=sin(y); 0051 dk(:,:,1)=cx.*cy; 0052 dk(:,:,2)=-sx.*sy; 0053 % 0054 sa=sin(pa); 0055 dh=-2*b*xx.*sa.*sign(ca); 0056 % 0057 dg=dh.*g+exp(abs(ca)).*dk; 0058 % 0059 dp=-a*dg.*sign(g); 0060 end 0061 end