% Price 4 function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Price 4 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(x)=0 for x={(0,0),(2,4),(1.464,?2.506)} 0026 % 0027 %Design space: -500<xi<500 0028 0029 0030 function [p,dp]=funPrice4(xx) 0031 0032 %constants 0033 a=2; 0034 b=6; 0035 0036 %variables 0037 xxx=xx(:,:,1); 0038 yyy=xx(:,:,2); 0039 0040 %evaluation and derivatives 0041 g=a*xxx.^3.*yyy-yyy.^3; 0042 h=b*xxx-yyy.^2+yyy; 0043 % 0044 p=g.^2+h.^2; 0045 0046 if nargout==2 0047 dp(:,:,1)=6*a*xxx.^2.*yyy.*g+2*b*h; 0048 dp(:,:,2)=2*(a*xxx.^3-3*yyy.^2).*g+(1-2*yyy).*h; 0049 end 0050 end