%% Random Search Algorithm (Pure Random Search Algorithm)

% This code finds the minimum of f(x) = x(1)^2 + x(2)^2
% in which -5 < x(i) < 5
% This function is a convex and the minimum is at (0,0)
% The RSA is the simplest algorithm to solve optimization problem
% it is not efficient and it sometimes cannot solve the problem

clc
close all
clear all
dim=2;
popsize=100;
ftarget=0.01;
numIter=100;
ObjFun=@(x) sum(x.^2);
for i=1:numIter
    candidate=10*rand(dim,popsize)-5;
    best=min(feval(ObjFun,candidate));
    if best <= ftarget
        break;
    end
end
disp(best);