funCustom07

PURPOSE ^

% Custom function 6

SYNOPSIS ^

function [p,dp]=funCustom07(xx)

DESCRIPTION ^

% Custom function 6
 L. LAURENT -- 27/05/2019 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Custom function 6
0002 % L. LAURENT -- 27/05/2019 -- 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)=20.6508 for x= 9.6952
0026 %local minima
0027 % f          | x
0028 % 0.6204     | 73.3129
0029 % 2.8362     | 92.2315
0030 % 7.4016     | 321.3776
0031 %
0032 %
0033 %
0034 %Design space: -1<xi<15
0035 %
0036 
0037 
0038 function [p,dp]=funCustom07(xx)
0039 %constants
0040 a10=0.002201370;
0041 a9=-0.1052876;
0042 a8=2.151650;
0043 a7=-24.60697;
0044 a6=173.4160;
0045 a5=-782.1379;
0046 a4=2267.874;
0047 a3=-4114.980;
0048 a2=4357.030;
0049 a1=-2327.900;
0050 b=550;
0051 
0052 %evaluation and derivatives
0053 %
0054 p = a10*xx.^10 + a9*xx.^9 + a8*xx.^8 ...
0055     + a7*xx.^7 + a6*xx.^6 + a5*xx.^5 ...
0056     + a4*xx.^4 + a3*xx.^3 + a2*xx.^2 ...
0057     + a1*xx + b ;
0058 
0059 %
0060 if nargout==2
0061     %
0062     dp=10*a10*xx.^9 + 9*a9*xx.^8 + 8*a8*xx.^7 ...
0063         + 7*a7*xx.^6 + 6*a6*xx.^5 + 5*a5*xx.^4 ...
0064         + 4*a4*xx.^3 + 3*a3*xx.^2 + 2*a2*xx ...
0065         + a1 ;
0066 end
0067 %
0068 end

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