% Author: Ben Nuttall 2009 // www.bennuttall.com
% Program: pi.m - A program which generates the decimal places of Pi and
% shows them converging one-by-one
% More information about the program can be read at
% http://www.bennuttall.com/code/2009/11/computing-decimal-places-of.html

clear
clc

p = 0; % Start at 0

for i = 0:1000000000000 % the number of times the program runs - the more iterations, the more accurate Pi gets!
   p = p + (4*((-1)^i))/(2*i + 1); % The Leibniz formula for pi: http://en.wikipedia.org/wiki/Leibniz_formula_for_pi
   fprintf('%i Iterations: Pi is approximately equal to %1.16f...\n',i,p) % Printed generation on each iteration
end