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