% Gear function L. LAURENT -- 16/03/2017 -- luc.laurent@lecnam.net
0001 %% Gear function 0002 %L. LAURENT -- 16/03/2017 -- 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 % 0025 %global minimum : f(x)=2.7e-12 for x=[16 19 43 49] 0026 % 0027 %Design space: 12<xi<60 0028 % 0029 0030 0031 0032 function [p,dp]=funGear(xx) 0033 %constants 0034 a=1; 0035 b=6.931; 0036 0037 %evaluation and derivatives 0038 x=xx(:,:,1); 0039 y=xx(:,:,2); 0040 z=xx(:,:,3); 0041 w=xx(:,:,4); 0042 % 0043 fx=floor(x); 0044 fy=floor(y); 0045 fz=floor(z); 0046 fw=floor(w); 0047 % 0048 p=(a/b-(fx.*fy)./(fw.*fz)).^2; 0049 0050 % 0051 if nargout==2 0052 % 0053 dp=zeros(size(xx)); 0054 % 0055 isInteger =@(input) (imag(input) == 0) & (round(input) == input); 0056 % 0057 dp(isInteger(xx))=1/eps; 0058 end 0059 end