% Mishra 8 function L. LAURENT -- 17/11/2016 -- luc.laurent@lecnam.net
0001 %% Mishra 8 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 for x=(2,-3) 0026 % 0027 %Design space: -10<xi<10 0028 0029 0030 function [p,dp]=funMishra08(xx) 0031 0032 %constants 0033 aa=0.001; 0034 a=[1,-20,180,-960,3360,-8064,1334,-15360,11520,-5120,2624]; 0035 b=[1,12,54,108,81]; 0036 0037 %variables 0038 xxx=xx(:,:,1); 0039 yyy=xx(:,:,2); 0040 0041 %evaluation and derivatives 0042 itg=reshape(10:-1:0,1,1,11); 0043 gt=bsxfun(@power,xxx,itg); 0044 g=bsxfun(@times,gt,reshape(a(11-itg),1,1,11)); 0045 ith=reshape(4:-1:0,1,1,5); 0046 ht=bsxfun(@power,yyy,ith); 0047 h=bsxfun(@times,ht,reshape(b(5-ith),1,1,5)); 0048 % 0049 pa=abs(sum(h,3)).*abs(sum(g,3)); 0050 p=aa*pa.^2; 0051 0052 if nargout==2 0053 itdg=reshape(10:-1:1,1,1,10); 0054 dgt=bsxfun(@power,xxx,itdg-1); 0055 dgtt=bsxfun(@times,dgt,itdg); 0056 dg=bsxfun(@times,dgtt,reshape(a(11-itdg),1,1,10)); 0057 itdh=reshape(4:-1:1,1,1,4); 0058 dht=bsxfun(@power,yyy,itdh-1); 0059 dhtt=bsxfun(@times,dht,itdh); 0060 dh=bsxfun(@times,dhtt,reshape(b(5-itdh),1,1,4)); 0061 % 0062 dp(:,:,1)=2*aa*sign(sum(g,3)).*abs(sum(h,3)).*sum(dg,3).*pa; 0063 dp(:,:,2)=2*aa*sign(sum(h,3)).*abs(sum(g,3)).*sum(dh,3).*pa; 0064 end 0065 end