unc_n2_sin.m

it contains many classic Test Problems for Unconstrained Optimization such as camel6,treccani,goldst

function [fval]=unc_n2_sin(x)
%reference:
%note that you can get the formulation of unc_n2_sin from some
%aritcles,such as
%(1)LS Zhang, CK Ng, D Li, WW Tian  'A New Filled Function Method for Global Optimization',
%Journal of Global Optimization,Problem 1
%
%algorithm:
%below code is  edited according to 
%(1)LS Zhang, CK Ng, D Li, WW Tian  'A New Filled Function Method for Global Optimization',
%Journal of Global Optimization,Problem 1
%
%solution:
% where the bounds are 0<=x1<=10,-10<=x2<=0;
%the global minimum is at x*=(1,0),and f(x*)= 0;



%Copyright:
% programmers:oiltowater.
% It comply with the GPL2.0
% Copyright 2006  oiltowater 


c=0.2;
%  c=0.5;
%  c=0.05;
if size(x,1)~=2, 
    error('the row number of x is 2');
end
x1=x(1,1);
x2=x(2,1);

fval=(1-2*x2+c*sin(4*pi*x2)-x1).^2+(x2-0.5*sin(2*pi*x1)).^2;