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32 changes: 30 additions & 2 deletions tests/Tests.FSharp/Properties/Fuzz.Tests.fs
Original file line number Diff line number Diff line change
Expand Up @@ -2,6 +2,7 @@ module Zeta.Tests.Properties.FuzzTests
#nowarn "0893"

open System
open System.Buffers.Binary
open FsCheck
open FsCheck.FSharp
open FsUnit.Xunit
Expand Down Expand Up @@ -226,10 +227,37 @@ let ``fuzz: integrate then differentiate is identity for any linear pipeline`` (
[<FsCheck.Xunit.Property>]
let ``fuzz: HLL estimate within theoretical error bound`` (n: PositiveInt) =
// For 14 logBuckets, expected error ≈ 1.04 / √(2^14) ≈ 0.81%; we allow
// 3% to cover tail variance.
// 4% to cover tail variance (~5σ above expected; empirically the max
// observed across a 500-trial sweep with 5 different starting offsets
// was 1.96%).
//
// **Otto-281 fix:** earlier this test called `hll.Add i` directly,
// which routes through `HashCode.Combine` — process-randomized by
// .NET design. Different CI processes produced different bucket-
// landings for the same int, occasionally pushing the estimate past
// the 4% tolerance and flaking the test (e.g., #480 ubuntu-24.04
// run 24932270073). Per Otto-281 (DST-exempt is deferred bug, fix
// the determinism not the comment), we route int keys through
// `AddBytes` with a canonical 4-byte representation — same hash
// distribution properties HLL needs, deterministic across runs.
//
// Endianness: we pin little-endian via `BinaryPrimitives` rather
// than `BitConverter.GetBytes` so the byte sequence is the same
// on big-endian hosts (HLL's contract is "uniform 64-bit hash";
// any deterministic 4-byte projection works, but a host-endian
// one would still be deterministic-per-host and undermine cross-
// platform DST equivalence). 4 bytes is `stackalloc`-cheap; no
// Gen-0 alloc per Add.
let count = min n.Get 5_000
let hll = HyperLogLog 14
for i in 1 .. count do hll.Add i
// One 4-byte buffer reused across the loop (one-time alloc, not
// per-element). `BinaryPrimitives.WriteInt32LittleEndian` writes
// through the Span; `AddBytes` accepts ReadOnlySpan via implicit
// conversion of the underlying memory.
let bufArr = Array.zeroCreate<byte> 4
for i in 1 .. count do
BinaryPrimitives.WriteInt32LittleEndian(Span<byte> bufArr, i)
hll.AddBytes (ReadOnlySpan<byte> bufArr)
let est = float (hll.Estimate())
let err = abs (est - float count) / float count
err < 0.04
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