funCustom06

PURPOSE ^

% Custom function 6

SYNOPSIS ^

function [p,dp]=funCustom06(xx)

DESCRIPTION ^

% Custom function 6
L. LAURENT -- 06/11/2018 -- luc.laurent@lecnam.net

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 %% Custom function 6
0002 %L. LAURENT -- 06/11/2018 -- 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)=-0.4366 for x= 2.9084
0026 %local minima
0027 % f          | x
0028 % 0.4971     | -1
0029 % -0.4366    | 2.9084
0030 % 0.5284     | 9.0759
0031 % 1.3305     | 15
0032 %
0033 %
0034 %
0035 %Design space: -1<xi<15
0036 %
0037 
0038 
0039 function [p,dp]=funCustom06(xx)
0040 %constants
0041 a=10;
0042 b=0;
0043 c=1;
0044 
0045 %evaluation and derivatives
0046 %
0047 p=exp(-xx/a).*cos(c*xx)+1/a*xx+b;
0048 
0049 %
0050 if nargout==2
0051     %
0052     dp=-exp(-xx/a).*(c*sin(c*xx)+1/a.*cos(c*xx))+1/a;
0053 end
0054 %
0055 end

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