funNeedleEye

PURPOSE ^

% Needle Eye function

SYNOPSIS ^

function [p,dp]=funNeedleEye(xx)

DESCRIPTION ^

% Needle Eye function
L. LAURENT -- 20/03/2017 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

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

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