% Three-Hump camel back function L. LAURENT -- 04/11/2016 -- luc.laurent@lecnam.net
0001 %% Three-Hump camel back function 0002 %L. LAURENT -- 04/11/2016 -- 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 %1 local minimum 0026 %f(x1,x2)=0 for (x1,x2)=(0,0) 0027 % 0028 %Design space: -5<x1<5 -5<x2<5 0029 0030 0031 function [p,dp]=funCamelbackThreeHump(xx) 0032 0033 %constants 0034 a=2; 0035 b=1.05; 0036 c=6; 0037 0038 %variables 0039 xxx=xx(:,:,1); 0040 yyy=xx(:,:,2); 0041 0042 %evaluations and derivatives 0043 p=a.*xxx.^2 ... 0044 -b*xxx.^4 ... 0045 +xxx.^6./c ... 0046 +xxx.*yyy... 0047 +yyy.^2; 0048 0049 if nargout==2 0050 dp(:,:,1)=2*a*xxx... 0051 -4*b*xxx.^3 ... 0052 +6/c*xxx.^5 ... 0053 +yyy; 0054 dp(:,:,2)=xxx... 0055 +2*yyy; 0056 end 0057 end