% Quadratic function L. LAURENT -- 19/11/2016 -- luc.laurent@lecnam.net
0001 %% Quadratic function 0002 %L. LAURENT -- 19/11/2016 -- 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(x)=-3873.7243 for x=(0.19388,0.48513) 0026 % 0027 %Design space: -10<xi<10 0028 0029 0030 function [p,dp]=funQuadratic(xx) 0031 0032 %constants 0033 a=-3803.84; 0034 b=-138.08; 0035 c=-232.92; 0036 d=128.08; 0037 e=203.64; 0038 f=182.25; 0039 0040 %variables 0041 xxx=xx(:,:,1); 0042 yyy=xx(:,:,2); 0043 0044 %evaluation and derivatives 0045 p=a+b*xxx+c*yyy+d*xxx.^2+e*yyy.^2+f*xxx.*yyy; 0046 0047 if nargout==2 0048 dp(:,:,1)=b+2*d*xxx+f*yyy; 0049 dp(:,:,2)=c+2*e*yyy+f*xxx; 0050 end 0051 end