% Shubert 4 function L. LAURENT -- 19/02/2017 -- luc.laurent@lecnam.net
0001 %% Shubert 4 function 0002 % L. LAURENT -- 19/02/2017 -- 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(-0.80032121,-7.08350592)=-29.016015 0025 % 0026 %Design space -10<xi<10 0027 0028 0029 function [p,dp] = funShubert4(xx) 0030 0031 %constants 0032 a=5; 0033 0034 %evaluation and derivatives 0035 sX=size(xx); 0036 % 0037 lI=1:a; 0038 lI=reshape(lI,1,1,[]); 0039 lI=lI(ones(1,sX(1)),ones(1,sX(2)),:); 0040 % 0041 fun=@(I,X)I.*cos((I+1).*X+I); 0042 % 0043 p=zeros(sX(1),sX(2)); 0044 % 0045 for itX=1:sX(3) 0046 h=fun(lI,xx(:,:,itX)); 0047 p=p-sum(h,3); 0048 end 0049 0050 if nargout==2 0051 % 0052 dp=zeros(sX); 0053 funD=@(I,X)-I.*(I+1).*sin((I+1).*X+I); 0054 % 0055 for itX=1:sX(3) 0056 dh=funD(lI,xx(:,:,itX)); 0057 dp(:,:,itX)=-sum(dh,3); 0058 end 0059 end 0060 end