% Colville function L. LAURENT -- 16/09/2011 -- luc.laurent@lecnam.net
0001 %% Colville function 0002 %L. LAURENT -- 16/09/2011 -- 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)=(1,1,1,1) 0026 % 0027 %Design space: -10<xi<10 0028 0029 0030 function [p,dp]=funColville(xx) 0031 0032 %constants 0033 a=100; 0034 b=1; 0035 c=90; 0036 d=10.1; 0037 e=19.8; 0038 0039 %evaluation and derivatives 0040 pa=xx(:,:,1)-xx(:,:,2).^2; 0041 pb=b-xx(:,:,1); 0042 pc=xx(:,:,4)-xx(:,:,3).^2; 0043 pd=b-xx(:,:,3); 0044 pe=xx(:,:,2)-b; 0045 pf=xx(:,:,4)-b; 0046 % 0047 p=a*pa.^2+pb.^2+c*pc.^2+pd.^2+d*pe.^2+d*pf.^2+e*pe.*pf; 0048 % 0049 if nargout==2 0050 dp(:,:,1)=2*a*pa-2*pb; 0051 dp(:,:,2)=-4*a*xx(:,:,2).*pa+2*d*pe+e*pf; 0052 dp(:,:,3)=-4*c*xx(:,:,3).*pc-2*pd; 0053 dp(:,:,4)=2*c*pc+2*d*pf+e*pe; 0054 end 0055 end