PiApproximationMonteCarlo.js

// Wikipedia: https://en.wikipedia.org/wiki/Monte_Carlo_method
// Video Explanation: https://www.youtube.com/watch?v=ELetCV_wX_c

const piEstimation = (iterations = 100000) => {
 let circleCounter = 0

 for (let i = 0; i < iterations; i++) {
 // generating random points and checking if it lies within a circle of radius 1
 const x = Math.random()
 const y = Math.random()
 const radius = Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2))

 if (radius < 1) circleCounter += 1
 }

 // formula for pi = (ratio of number inside circle and total iteration) x 4
 const pi = (circleCounter / iterations) * 4
 return pi
}

export { piEstimation }