% Rotated hyper-ellipsoid function L. LAURENT -- 21/02/2012 -- luc.laurent@lecnam.net
0001 %% Rotated hyper-ellipsoid function 0002 %L. LAURENT -- 21/02/2012 -- 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 % 0025 %1 global minimum : x=(0,0,...,0) >> f(x)=0 0026 % 0027 %design space: -65.536<xi<65.536 0028 0029 function [p,dp]=funRHE(xx) 0030 0031 %number of designa variables 0032 nbvar=size(xx,3); 0033 0034 %responses and derivatives 0035 vv=reshape(nbvar:-1:1,1,1,nbvar); 0036 coef=repmat(vv,[size(xx,1) size(xx,2)]); 0037 cal=coef.*xx.^2; 0038 p=sum(cal,3); 0039 if nargout==2 0040 dp=2*coef.*xx; 0041 end 0042 end