% Mishra 3 function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Mishra 3 function 0002 %L. LAURENT -- 17/11/2016 -- 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 %global minimum : f(x)=-0.18467 for x=(-8.4667,-10) 0026 % 0027 %Design space: -10<xi<10 0028 0029 0030 function [p,dp]=funMishra03(xx) 0031 0032 %constants 0033 a=1e-2; 0034 0035 %variables 0036 xxx=xx(:,:,1); 0037 yyy=xx(:,:,2); 0038 0039 %evaluation and derivatives 0040 pa=xxx.^2+yyy; 0041 pb=xxx+yyy; 0042 % 0043 pc=abs(pa); 0044 pd=sqrt(pc); 0045 % 0046 p=sqrt(abs(cos(pd)))+a*pb; 0047 0048 if nargout==2 0049 dp(:,:,1)=-0.5*xxx./pd... 0050 .*sin(pd)... 0051 .*sign(cos(pd))... 0052 .*sign(pa)... 0053 ./sqrt(abs(cos(pd)))... 0054 +a; 0055 dp(:,:,2)=-0.25./pd... 0056 .*sin(pd)... 0057 .*sign(cos(pd))... 0058 .*sign(pa)... 0059 ./sqrt(abs(cos(pd)))... 0060 +a; 0061 end 0062 end