1.1 KiB
1.1 KiB
Pi Monte Carlo
Approximate the value of pi using your @boardname@!
let pir = 0
let pid = 0
let y = 0
let pin = 0
let x = 0
let r2 = 0
let r = 0
let inside = 0
let n = 0
// A simple Monte-Carlo simulation to approximate Pi.
//
// number of points
//
n = 1000000
// radius of the circle
r = 4000
// radius square
r2 = r * r
basic.forever(() => {
inside = 0
for (let i = 0; i < n; i++) {
// generate a point within the square
x = Math.random(r + 1)
y = Math.random(r + 1)
// test if the point is within the circle
// sqrt(x**2 + y**2) < r ==> x**2 + y**2 < r**2
if (x * x + y * y < r2) {
inside += 1
}
}
// surface of a square: 4 * r * r surface of a circle:
// r * r * pi => inside / n ~= (r*r*pi) / (4*r*r) ~=
// pi / 4 pi = inside / n * 4
pin = inside * 4
// only integer arithmetic here...
pid = pin / n
pir = pin % n
// show results
basic.showLeds(`
# # # # #
. # . # .
. # . # .
. # . # .
. # . . #
`)
basic.showString(" " + pid + "." + pir)
})