% Dolan's function L. LAURENT -- 15/11/2016 -- luc.laurent@lecnam.net
0001 %% Dolan's function 0002 %L. LAURENT -- 15/11/2016 -- 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 %4 global minimas : f(x1,x2,x3,x4)=0 0026 % 0027 %Design space: -100<xi<100 0028 0029 0030 function [p,dp]=funDolan(xx) 0031 0032 %constants 0033 a=1.7; 0034 b=01.5; 0035 c=0.1; 0036 d=0.2; 0037 e=1; 0038 0039 %variables 0040 xxx=xx(:,:,1); 0041 yyy=xx(:,:,2); 0042 zzz=xx(:,:,3); 0043 vvv=xx(:,:,4); 0044 www=xx(:,:,5); 0045 0046 %evaluation and derivatives 0047 pa=xxx+a*yyy; 0048 pb=sin(xxx); 0049 pc=b*zzz; 0050 pd=c*vvv; 0051 pe=cos(vvv+www-xxx); 0052 pf=d*www.^2-yyy-e; 0053 % 0054 pt=pa.*pb-pc-pd.*pe+pf; 0055 p=abs(pt); 0056 % 0057 if nargout==2 0058 sf=sign(pt); 0059 % 0060 dp(:,:,1)=sf.*(cos(xxx).*pa+pb-pd.*sin(vvv+www-xxx)); 0061 dp(:,:,2)=sf.*(a*pb-1); 0062 dp(:,:,3)=-sf.*b; 0063 dp(:,:,4)=sf.*(-c*pe+pd.*sin(vvv+www-xxx)); 0064 dp(:,:,5)=sf.*(pd.*sin(vvv+www-xxx)+2*d*www); 0065 end 0066 end