unc_nn_rastrigin.m

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

function [fval]=unc_nn_rastrigin(x)
%reference:
%note that you can get the formulation of unc_nn_rastrigin from some
%aritcles,such as
%(1)Hartmut Pohlheim 'Genetic Algorithm Toolbox Test Functions'
%
%algorithm:
%below code is  edited according to 
%(1)Hartmut Pohlheim 'Genetic Algorithm Toolbox Test Functions'
%
%solution:
% where the bounds are -5.12<=x<=5.12;
%The global minimum is at x*=zeros(n,1),and f(x*)= 0;
% This function has many local minima. Thus, the test function is
%highly multimodal. However, the location
% of the minima are regularly distributed.

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


n=size(x,1);

suma=0;

for i=1:n
suma=suma+x(i,1)*x(i,1)-10*cos(2*pi*x(i,1));  
end

fval=10*n+suma;