% Mishra 5 function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Mishra 5 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)=-0.119829 for x=(-1.98682, -10.0) 0026 % 0027 %Design space: -10<xi<10 0028 0029 0030 function [p,dp]=funMishra05(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 g=cos(xxx)+cos(yyy); 0041 h=sin(xxx)+sin(yyy); 0042 pa=sin(g.^2).^2+cos(h.^2).^2+xxx; 0043 % 0044 p=pa.^2+a*(xxx+yyy); 0045 0046 if nargout==2 0047 dgX=-sin(xxx); 0048 dgY=-sin(yyy); 0049 dhX=cos(xxx); 0050 dhY=cos(yyy); 0051 % 0052 dp(:,:,1)=2*pa.*(4*dgX.*g.*cos(g.^2).*sin(g.^2)... 0053 -4*dhX.*h.*sin(h.^2).*cos(h.^2)+1)... 0054 +a; 0055 dp(:,:,2)=2*pa.*(4*dgY.*g.*cos(g.^2).*sin(g.^2)... 0056 -4*dhY.*h.*sin(h.^2).*cos(h.^2))... 0057 +a; 0058 end 0059 end