var colors = [];

var coprimes = 0;

var cofactors = 0;

var myPi;

var nRandom = 100000;

var tSize = 48;

function setup() {

createCanvas(windowWidth, windowHeight);

colors[0] = color(0, 38, 38);

colors[1] = color(14, 71, 73);

colors[2] = color(149, 198, 35);

colors[3] = color(229, 88, 18);

colors[4] = color(239, 231, 218);

rectMode(CENTER);

// frameRate(10);

}

function draw() {

if (areCoprimes(getTwoRandomNumbers())) {

coprimes++;

} else {

cofactors++;

}

myPi = getPiFromCoprimesAndCofactors(coprimes, cofactors);

background(colors[0]);

translate(width/2, height/2);

noStroke();

// Bar pi

fill(colors[2]);

rect(0, height/3, 10, 50);

// Bar estimation

fill(colors[4]);

var piDiff = myPi - PI;

var x = map(piDiff, -1, 1, -width/3, width/3);

rect(x, height/3, 3, 80);

// Text pi

textSize(tSize);

textAlign(CENTER);

fill(colors[3]);

text(str(PI.toFixed(10)), 0, -tSize+80);

// Text estimation

fill(colors[1]);

text(str(myPi.toFixed(10)), 0, tSize+80);

// Pie

fill(colors[2])

arc(0, -height/3, width/3, width/3, 0, myPi, PIE);

stroke(colors[4]);

line(-width/5, -height/3, width/5, -height/3);

// Frames

fill(colors[4]);

textAlign(RIGHT);

textSize(24);

text(str(coprimes + cofactors), width/2*0.9, height/2*0.9);

//var barIniY =

var barFinY = (height/2) * 0.8;

}

function getPiFromCoprimesAndCofactors(coprimes, cofactors) {

var fraction = coprimes / (coprimes + cofactors);

var pi = Math.sqrt(6 / fraction);

return pi;

}

function gcd(a, b) {

if(a === 0 || b === 0) {

return a+b; // base case

} else {

return gcd(b, a%b);

}

}

function areCoprimes(arr) {

var gcdAB = gcd(arr[0], arr[1]);

return gcdAB === 1;

}

function getTwoRandomNumbers() {

return [floor(random(nRandom)),

floor(random(nRandom))];

}