% Needle Eye function L. LAURENT -- 20/03/2017 -- luc.laurent@lecnam.net
0001 %% Needle Eye function 0002 %L. LAURENT -- 20/03/2017 -- 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)=1 for xi=-1 0026 % 0027 %Design space: -10<xi<10 0028 % 0029 0030 0031 function [p,dp]=funNeedleEye(xx) 0032 %constants 0033 a=100; 0034 b=1e-4; 0035 0036 0037 %evaluation and derivatives 0038 aX=abs(xx); 0039 % 0040 pa=a+aX; 0041 % 0042 IXa=aX<b; 0043 IXb=aX>b; 0044 IXAll=all(IXa,3); 0045 % 0046 p=sum(pa.*IXb,3); 0047 p(IXAll)=1; 0048 0049 % 0050 if nargout==2 0051 % 0052 dp=zeros(size(xx)); 0053 % 0054 dp=sign(xx).*IXb; 0055 dp(IXAll(:,:,ones(1,size(xx,3))))=0; 0056 0057 end