%% A program to find the value of pi using random numbers
clc
clear all
format long
% Variable count counts the number of dots inside the circle of radius 1
% drawn with the center at the origin of a x-y coordinate system!
%% INPUTS
% Choose total number of dots!
n=8E6

%% CODE
count=0;
for i=1:1:n
    % random choice of x value
    x=randab(-1,1);
    %randomn choice of y value
    y=randab(-1,1);
    % checking of the point is inside or outside the circle
    if x^2+y^2<=1
        count=count+1;
    end
end
% The area of the square is 4.
% The ratio of the number of dots inside the circle/number of dots in the
% square is the ratio of the area of the circle/area of the square.
pival=count/n*4;
% actual value of pi

%% OUTPUTS
picalc=pival
piactual=pi
% Percentage true error
absea=abs((piactual-picalc)/piactual)*100