% Ackley's function 3 L. LAURENT -- 31/10/2016 -- luc.laurent@lecnam.net
0001 %% Ackley's function 3 0002 %L. LAURENT -- 31/10/2016 -- 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 %one local minimum 0026 %1 global minimum : x=(0,-0.4) >> f(x)=-219.1418 0027 % 0028 %design space -32<xi<32 0029 0030 0031 0032 function [p,dp]=funAckley3(xx) 0033 0034 %constants 0035 a=200; 0036 b=0.02; 0037 c=5; 0038 d=3; 0039 0040 %responses and derivatives 0041 normP=sqrt(sum(xx.^2,3)); 0042 ex1=exp(-b*normP); 0043 ex2=exp(cos(d*xx(:,:,1))+sin(d*xx(:,:,2))); 0044 p=-a*ex1-c*ex2; 0045 0046 if nargout==2 0047 dp=a*b*xx./normP.*ex1; 0048 % 0049 dp(:,:,1)=dp(:,:,1)+c*d*sin(d*xx(:,:,1)).*ex2; 0050 dp(:,:,2)=dp(:,:,2)-c*d*cos(d*xx(:,:,2)).*ex2; 0051 end 0052 end