funCorana

PURPOSE ^

% Corana's function

SYNOPSIS ^

function [p,dp]=funCorana(xx)

DESCRIPTION ^

% Corana's function
L. LAURENT -- 05/11/2016 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Corana's function
0002 %L. LAURENT -- 05/11/2016 -- 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(x1,x2,x3,x4)=0 for (x1,x2,x3,x4)=(0,0,0,1)
0026 %
0027 %Design space: -500<xi<500
0028 
0029 function [p,dp]=funCorana(xx)
0030 
0031 %constants
0032 a=0.05;
0033 b=0.2;
0034 c=0.15;
0035 d=[1,1e3,10,1e2];dt(1,1,1:4)=d;
0036 e=0.49999;
0037 
0038 %evaluation and derivatives
0039 zz=b*floor(abs(xx)/b+e).*sign(xx);
0040 vv=abs(xx-zz);
0041 maskV=(vv<a);
0042 %
0043 nS=[size(xx,1) size(xx,2) size(xx,3)];
0044 %
0045 pz=zz-a*sign(zz);
0046 dr=repmat(dt,[nS(1) nS(2) 1]);
0047 %
0048 pd=dr.*xx;
0049 %
0050 pS=zeros(nS);
0051 pS(maskV)=pz(maskV);
0052 pS(~maskV)=pd(~maskV);
0053 %
0054 p=sum(pS,3);
0055 %
0056 if nargout==2
0057     fprintf('Non differentiable function');
0058     dp=zeros(nS);
0059 end
0060 end

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