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25 changes: 25 additions & 0 deletions Maths/PiApproximationMonteCarlo.js
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// Wikipedia: https://en.wikipedia.org/wiki/Monte_Carlo_method
// Video Explaination: https://www.youtube.com/watch?v=ELetCV_wX_c

function 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
}

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

function main () {
console.log(piEstimation())
}

main()