% Colas's function L. LAURENT -- 04/11/2016 -- luc.laurent@lecnam.net
0001 %% Colas's function 0002 %L. LAURENT -- 04/11/2016 -- 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 %numerous local minima 0026 %1 global minimum : x=(0.651906,1.30194,0.099242,?0.883791,?0.8796, 0027 % 0.204651,-3.28414,0.851188,-3.46245,2.53245,-0.895246, 0028 % 0.204651,-3.28414,0.851188,-3.46245,2.53245,-0.895246, 0029 % 1.40992,-3.07367,1.96257,-2.97872,?0.807849,-1.68978) >> f(x)=11.7464 0030 % 0031 %design space -1<xi<4 0032 0033 0034 function [p,dp]=funCola(xx) 0035 fprintf('NEED to FIXED\n') 0036 %cf. https://github.com/andyfaff/ampgo/blob/master/%20ampgo%20--username%20andrea.gavana%40gmail.com/go_benchmark.py 0037 0038 %constant 0039 dd=[0 0 0 0 0 0 0 0 0 0040 1.27 0 0 0 0 0 0 0 0 0041 1.69 1.43 0 0 0 0 0 0 0 0042 2.04 2.35 2.45 0 0 0 0 0 0 0043 3.09 3.18 3.26 2.85 0 0 0 0 0 0044 3.20 3.22 3.27 2.88 1.55 0 0 0 0 0045 2.86 2.56 2.58 2.59 3.12 3.06 0 0 0 0046 3.17 3.18 3.18 3.12 1.31 1.64 3.00 0 0 0047 3.21 3.18 3.18 3.17 1.70 1.36 2.95 1.32 0 0048 2.38 2.31 2.42 1.94 2.85 2.81 2.56 2.91 2.97]; 0049 %handle function 0050 funR=@(xi,xj,yi,yj)sqrt((xi-xj).^2+(yi-yj).^2); 0051 0052 %evaluation and derivatives 0053 nS=[size(xx,1) size(xx,2) size(xx,3)]; 0054 % 0055 zz=zeros(nS(1),nS(2)); 0056 xC=cat(3,zz,xx(:,:,1:2:end)); 0057 yC=cat(3,zz,zz,xx(:,:,2:2:end)); 0058 % 0059 p=zeros(nS(1:2)); 0060 for itI=1:size(xC,3) 0061 for itJ=1:itI-1 0062 % dd(itI,itJ) 0063 p=p+(funR(xC(:,:,itI),xC(:,:,itJ),yC(:,:,itI),yC(:,:,itJ))-dd(itI,itJ)).^2; 0064 % p 0065 end 0066 end 0067 0068 if nargout==2 0069 fprintf('Derivatives not implemented\n') 0070 dp=zeros(nS); 0071 % dp=4*xx.*repmat(pSum,[1 1 size(xx,3)]); 0072 end 0073 end