% New Function 1 function L. LAURENT -- 20/03/2017 -- luc.laurent@lecnam.net
0001 %% New Function 1 function 0002 %L. LAURENT -- 20/03/2017 -- 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)=-0.17894509347721144 for x=[-8.4666,-9.9988] 0026 % 0027 %Design space: -10<xi<10 0028 % 0029 0030 0031 function [p,dp]=funNewFunction1(xx) 0032 %constants 0033 a=100; 0034 0035 %evaluation and derivatives 0036 x=xx(:,:,1); 0037 y=xx(:,:,2); 0038 % 0039 xy=x.^2+y; 0040 axy=abs(xy); 0041 sqxy=sqrt(axy); 0042 ca=cos(sqxy); 0043 % 0044 pb=(x+y)./a; 0045 % 0046 p=abs(ca).^(1/2)+pb; 0047 % 0048 if nargout==2 0049 % 0050 dp=zeros(size(xx)); 0051 % 0052 sa=sin(sqxy); 0053 % 0054 dp(:,:,1)=-1/2*x.*sign(xy)./sqxy.*sa.*sign(ca).*abs(ca).^(-1/2)+1/a; 0055 dp(:,:,2)=-1/4.*sign(xy)./sqxy.*sa.*sign(ca).*abs(ca).^(-1/2)+1/a; 0056 % 0057 end