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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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import "random" for Random
import "/fmt" for Fmt
var nmax = 20
var rand = Random.new()
var avg = Fn.new { |n|
var tests = 1e4
var sum = 0
for (t in 0...tests) {
var v = List.filled(nmax, false)
var x = 0
while (!v[x]) {
v[x] = true
sum = sum + 1
x = rand.int(n)
}
}
return sum/tests
}
var ana = Fn.new { |n|
if (n < 2) return 1
var term = 1
var sum = 1
for (i in n-1..1) {
term = term * i / n
sum = sum + term
}
return sum
}
System.print(" N average analytical (error)")
System.print("=== ========= ============ =========")
for (n in 1..nmax) {
var a = avg.call(n)
var b = ana.call(n)
var ns = Fmt.d(3, n)
var as = Fmt.f(9, a, 4)
var bs = Fmt.f(12, b, 4)
var e = (a - b).abs/ b * 100
var es = Fmt.f(6, e, 2)
System.print("%(ns) %(as) %(bs) (%(es)\%)")
}