% Miele Cantrell's function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Miele Cantrell's function 0002 %L. LAURENT -- 17/11/2016 -- 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)=(0,1,1,1) 0026 % 0027 %Design space: -1<xi<1 0028 0029 0030 function [p,dp]=funMieleCantrell(xx) 0031 %constants 0032 a=100; 0033 0034 %variables 0035 xxx=xx(:,:,1); 0036 yyy=xx(:,:,2); 0037 zzz=xx(:,:,3); 0038 uuu=xx(:,:,4); 0039 0040 %evaluation and derivatives 0041 pa=exp(-xxx)-yyy; 0042 pb=yyy-zzz; 0043 pc=zzz-uuu; 0044 % 0045 p=pa.^4+a*pb.^6+tan(pc).^4+xxx.^8; 0046 0047 if nargout==2 0048 dp(:,:,1)=-4*exp(-xxx).*pa.^3+8*xxx.^7; 0049 dp(:,:,2)=-4*pa.^3+6*a*pb.^5; 0050 dp(:,:,3)=-6*a*pb.^5+4*(1+tan(pc).^2).*tan(pc).^3; 0051 dp(:,:,4)=-4*(1+tan(pc).^2).*tan(pc).^3; 0052 end 0053 end