% McCormick's function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% McCormick'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)=-1.9133 for (x1,x2)=(?0.547,?1.547) 0026 % 0027 %Design space: -1.5<x1<4 & -3<x2<3 0028 0029 0030 function [p,dp]=funMcCormick(xx) 0031 %constants 0032 a=3/2; 0033 b=5/2; 0034 c=1; 0035 0036 %variables 0037 xxx=xx(:,:,1); 0038 yyy=xx(:,:,2); 0039 0040 %evaluation and derivatives 0041 pa=xxx-yyy; 0042 pb=xxx+yyy; 0043 p=sin(pb)+pa.^2-a*xxx+b*yyy+c; 0044 0045 if nargout==2 0046 dp(:,:,1)=cos(pb)+2*pa-a; 0047 dp(:,:,2)=cos(pb)-2*pa+b; 0048 end 0049 end