% Shubert 1 function L. LAURENT -- 19/02/2017 -- luc.laurent@lecnam.net
0001 %% Shubert 1 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(7.0835,4.8580)=-186.7309 0025 % 0026 %Design space -10<xi<10 0027 0028 0029 function [p,dp] = funShubert1(xx) 0030 0031 %constants 0032 a=5; 0033 0034 %evaluation and derivatives 0035 sX=size(xx); 0036 da=ones(1,a); 0037 x=xx(:,:,1);x=x(:,:,da); 0038 y=xx(:,:,2);y=y(:,:,da); 0039 lI=1:a; 0040 lI=reshape(lI,1,1,[]); 0041 lI=lI(ones(1,sX(1)),ones(1,sX(2)),:); 0042 % 0043 fun=@(I,X)I.*cos((I+1).*X+I); 0044 % 0045 h=fun(lI,x); 0046 g=fun(lI,y); 0047 % 0048 p=sum(h,3).*sum(g,3); 0049 0050 if nargout==2 0051 % 0052 dp=zeros(sX); 0053 funD=@(I,X)-I.*(I+1).*sin((I+1).*X+I); 0054 % 0055 dH=funD(lI,x); 0056 dG=funD(lI,y); 0057 % 0058 dp(:,:,1)=sum(dH,3).*sum(g,3); 0059 dp(:,:,2)=sum(h,3).*sum(dG,3); 0060 end 0061 end