based on the fact, that arc4random_uniform generate not only random, but also uniformly distributed numbers
import Foundation // arc4random_uniform
class Random {
var r:UInt32
let max: UInt32
init(max: UInt32) {
self.max = max
r = arc4random_uniform(max)
}
var next: UInt32 {
var ret: UInt32
repeat {
ret = arc4random_uniform(max)
} while r == ret
r = ret
return r
}
}
// usage example
let r = Random(max: 5)
for i in 0..<10 {
print(r.r, r.next) // there will never be a pair of the same numbers in the
// generated stream
}
/*
2 4
4 0
0 3
3 0
0 3
3 4
4 1
1 3
3 4
4 3
*/
simple test for different k and stream length of one milion
class Random {
var r:UInt32
let max: UInt32
init(max: UInt32) {
self.max = max
r = arc4random_uniform(max)
}
var next: (UInt32, Int) {
var i = 0
var ret: UInt32
repeat {
ret = arc4random_uniform(max)
i += 1
} while r == ret
r = ret
return (r,i)
}
}
for k in 3..<16 {
let r = Random(max: UInt32(k))
var repetition = 0
var sum = 0
for i in 0..<1000000 {
let j = r.next
repetition = max(repetition, j.1)
sum += j.1
}
print("maximum of while repetition for k:", k, "is", repetition, "with average of", Double(sum) / Double(1000000) )
}
prints
maximum of while repetition for k: 3 is 15 with average of 1.499832
maximum of while repetition for k: 4 is 12 with average of 1.334008
maximum of while repetition for k: 5 is 9 with average of 1.250487
maximum of while repetition for k: 6 is 8 with average of 1.199631
maximum of while repetition for k: 7 is 8 with average of 1.167501
maximum of while repetition for k: 8 is 7 with average of 1.142799
maximum of while repetition for k: 9 is 8 with average of 1.124096
maximum of while repetition for k: 10 is 6 with average of 1.111178
maximum of while repetition for k: 11 is 7 with average of 1.099815
maximum of while repetition for k: 12 is 7 with average of 1.091041
maximum of while repetition for k: 13 is 6 with average of 1.083582
maximum of while repetition for k: 14 is 6 with average of 1.076595
maximum of while repetition for k: 15 is 6 with average of 1.071965
finaly, here is more Swifty and functional approach based on the same idea
import Foundation
func random(max: Int)->()->Int {
let max = UInt32(max)
var last = arc4random_uniform(max)
return {
var r = arc4random_uniform(max)
while r == last {
r = arc4random_uniform(max)
}
last = r
return Int(last)
}
}
let r0 = random(8)
let r1 = random(4)
for i in 0..<20 {
print(r0(), terminator: " ")
}
print("")
for i in 0..<20 {
print(r1(), terminator: " ")
}
/*
4 5 4 3 4 0 5 6 7 3 6 7 5 4 7 4 7 2 1 6
0 3 0 1 0 2 3 1 2 0 1 0 1 0 1 3 0 3 0 2
*/