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[scheduler] improve XSRandom distribution (#983)
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I noticed this opportunity to improve the distribution of `XSRandom`
while working on #982. By mixing in
the thread ID during the xorshift operations, we can prevent threads
that land on the same seed slot from generating identical sequences,
which could skew scheduling decisions.
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fwbrasil authored Jan 9, 2025
1 parent 6bbad37 commit 7a3afd8
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Showing 3 changed files with 24 additions and 9 deletions.
5 changes: 4 additions & 1 deletion kyo-core/shared/src/test/scala/kyo/ChannelTest.scala
Original file line number Diff line number Diff line change
Expand Up @@ -795,7 +795,10 @@ class ChannelTest extends Test:
stream = c.stream(3).take(15).mapChunk(ch => Chunk(ch))
res <- stream.run
_ <- bg.interrupt
yield assert(res == Chunk(Chunk(0, 1, 2), Chunk(3, 4, 5), Chunk(6, 7, 8), Chunk(9, 10, 11), Chunk(12, 13, 14)))
yield
assert(res.forall(_.size <= 3))
assert(res.flatten == (0 to 14))
end for
}
}

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Expand Up @@ -5,21 +5,33 @@ import java.util.Random
/** Fast pseudo-random number generator for scheduler operations.
*
* Uses a thread-hashed seed array and xorshift algorithm for quick random generation. Designed for scheduler operations like work stealing
* and load balancing where speed is prioritized over perfect randomness or thread isolation.
* and load balancing where speed is prioritized over perfect randomness.
*
* The design deliberately trades thread isolation for simplicity and performance. A shared seed array with 32 slots provides sufficient
* randomness for scheduler decisions while minimizing memory overhead. Thread conflicts in the same array slot may impact randomness but
* do not affect correctness of the scheduling algorithms.
* The implementation includes the thread index in the xorshift operations to better handle thread slot conflicts. While multiple threads
* may still share the same seed slot, their random sequences will differ due to the thread-specific mixing in the xorshift steps. This
* provides better statistical properties while maintaining the performance characteristics needed for scheduling operations.
*/
private[kyo] object XSRandom extends Random {
private val seeds = List.fill(32)(31L).toArray

// Size is core * 32 to reduce false sharing by spacing seeds across cache lines
private val seeds = Array.fill(Runtime.getRuntime().availableProcessors() * 32)(31L)

override def next(nbits: Int): Int = {
val idx = (Thread.currentThread().hashCode() & 31).toInt
var x = seeds(idx)
val id = Thread.currentThread().hashCode()
val idx = (id & 31).toInt

var x = seeds(idx)

// Mix in thread hash to differentiate sequences even if
// multiple threads land on the same slot
x ^= id

// Regular xorshift
x ^= (x << 21)
x ^= (x >>> 35)
x ^= (x << 4)
seeds(idx) = x

x &= ((1L << nbits) - 1)
x.asInstanceOf[Int]
}
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Expand Up @@ -37,7 +37,7 @@ class XSRandomTest extends AnyFreeSpec with Matchers {
executor.shutdown()

val expectedCount = numSamples * numThreads / numBuckets
val tolerance = expectedCount * 0.05
val tolerance = expectedCount * 0.01

buckets.foreach { count =>
assert(count >= (expectedCount - tolerance))
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