dataframe-core-1.1.0.0: src/DataFrame/Internal/GroupingPar.hs
{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE Strict #-}
{- |
Parallel partitioned group-by assignment. Row indices are partitioned by the
high bits of their key-hash (a counting sort: per-range histogram, prefix-sum,
scatter into one index buffer laid out partition-by-partition). One task per
capability then groups its partitions with its OWN open-addressing hash table
('DataFrame.Internal.HashTable') — keys are disjoint across partitions, so the
per-partition group sets concatenate with NO merge.
The output @(rowToGroup, valueIndices, offsets)@ is /bit-for-bit identical/ to
the sequential 'DataFrame.Internal.Grouping.groupBy': groups are emitted in
ascending @(repHash, repRow)@ order (signed-Int order on the hash, tie-broken by
the representative row). Because the partition key is the top bits of a
sign-preserving unsigned remap of the same hash, partition order already agrees
with that global order; within a partition we sort the local groups by the same
key. This is the parallel==sequential correctness gate.
The driver forks plain 'forkIO' workers (no sparks) over a shared atomic-counter
work queue, so partition skew is balanced. A sequential fallback is used when
there is a single capability or the row count is below 'parThreshold' (decided in
'shouldParallelize', which 'groupBy' consults before calling here).
-}
module DataFrame.Internal.GroupingPar (
parallelAssignGroups,
shouldParallelize,
parThreshold,
numPartitionsFor,
) where
import Control.Concurrent (forkIO, getNumCapabilities)
import Control.Concurrent.MVar (newEmptyMVar, putMVar, takeMVar)
import Control.Exception (SomeException, throwIO, try)
import Control.Monad (forM_, when)
import Data.Bits (countLeadingZeros, unsafeShiftR)
import Data.IORef (atomicModifyIORef', newIORef)
import qualified Data.Vector as V
import qualified Data.Vector.Mutable as VM
import qualified Data.Vector.Unboxed as VU
import qualified Data.Vector.Unboxed.Mutable as VUM
import Data.Word (Word64)
import DataFrame.Internal.HashTable (
htInsert,
newHashTable,
)
import DataFrame.Internal.RadixRank (rankByHash)
import System.IO.Unsafe (unsafePerformIO)
{- | Below this many rows the partition/fork overhead is not worth it; 'groupBy'
uses its sequential 'ST' path instead.
-}
parThreshold :: Int
parThreshold = 200000
{- | Whether 'groupBy' should take the parallel path: more than one capability
and at least 'parThreshold' rows.
-}
shouldParallelize :: Int -> Bool
shouldParallelize n = n >= parThreshold && capabilities > 1
{-# NOINLINE shouldParallelize #-}
capabilities :: Int
capabilities = unsafePerformIO getNumCapabilities
{-# NOINLINE capabilities #-}
{- | Sign-preserving unsigned remap: ascending 'Word64' order of @key h@ equals
ascending signed-'Int' order of @h@, so partitioning and sorting on it reproduce
the sequential @compare \`on\` repHash@ ordering exactly.
-}
key :: Int -> Word64
key h = fromIntegral h + 0x8000000000000000
{-# INLINE key #-}
-- | Partition index of a hash: the top @log2 p@ bits of its unsigned key.
partIx :: Int -> Int -> Int
partIx shift h = fromIntegral (key h `unsafeShiftR` shift)
{-# INLINE partIx #-}
{- | Number of partitions: a power of two, at least @4 * caps@ (P >> cores for
skew tolerance), floored at 256.
-}
numPartitionsFor :: Int -> Int
numPartitionsFor caps = go 1
where
target = max 256 (4 * caps)
go p
| p >= target = p
| otherwise = go (p * 2)
-- | @floor (log2 x)@ for a power-of-two @x@.
intLog2 :: Int -> Int
intLog2 x = 63 - countLeadingZeros x
{-# INLINE intLog2 #-}
{- | Parallel group assignment. @parallelAssignGroups n hashes eqRow@ returns
@(rowToGroup, valueIndices, offsets)@ in canonical group order. @eqRow a b@ must
report whether rows @a@ and @b@ share all key columns (null-aware).
-}
parallelAssignGroups ::
Int ->
VU.Vector Int ->
(Int -> Int -> Bool) ->
IO (VU.Vector Int, VU.Vector Int, VU.Vector Int)
parallelAssignGroups n hashes eqRow = do
caps <- getNumCapabilities
let !p = numPartitionsFor caps
!shift = 64 - intLog2 p
-- Phase 1: counting sort of row indices by partition.
(partStart, sortedRows) <- partitionRows n hashes p shift
-- Phase 2: per-partition grouping + per-partition canonical ranking (both
-- inside the parallel worker). localGid[pos] = local group id of the row at
-- sorted position 'pos'; canonBoxes[part] = its rank vector.
localGid <- VUM.new (max 1 n)
canonBoxes <- VM.replicate p (VU.empty :: VU.Vector Int)
nLocalGroups <- VUM.replicate p (0 :: Int)
runPartitions
caps
p
partStart
sortedRows
hashes
eqRow
localGid
canonBoxes
nLocalGroups
-- Phase 3: global base ids (serial prefix sum; the ranking is already done).
(globalBase, canonOf, nGroups) <- canonicalize p canonBoxes nLocalGroups
assemble n p partStart sortedRows localGid globalBase canonOf nGroups
-------------------------------------------------------------------------------
-- Phase 1: counting sort by partition
-------------------------------------------------------------------------------
{- | Bucket every row index into its partition by a counting sort. Returns the
exclusive prefix-sum @partStart@ (length @p+1@, @partStart[p] == n@) and the row
indices laid out partition-by-partition in @sortedRows@.
-}
partitionRows ::
Int -> VU.Vector Int -> Int -> Int -> IO (VU.Vector Int, VU.Vector Int)
partitionRows n hashes p shift = do
counts <- VUM.replicate (p + 1) (0 :: Int)
let countLoop !i
| i >= n = pure ()
| otherwise = do
let !pp = partIx shift (VU.unsafeIndex hashes i)
c <- VUM.unsafeRead counts pp
VUM.unsafeWrite counts pp (c + 1)
countLoop (i + 1)
countLoop 0
partStartM <- VUM.new (p + 1)
let scan !k !acc
| k > p = pure ()
| otherwise = do
VUM.unsafeWrite partStartM k acc
c <- if k < p then VUM.unsafeRead counts k else pure 0
scan (k + 1) (acc + c)
scan 0 0
cursor <- VUM.new p
forM_ [0 .. p - 1] $ \k -> VUM.unsafeRead partStartM k >>= VUM.unsafeWrite cursor k
sortedM <- VUM.new (max 1 n)
let place !i
| i >= n = pure ()
| otherwise = do
let !pp = partIx shift (VU.unsafeIndex hashes i)
pos <- VUM.unsafeRead cursor pp
VUM.unsafeWrite sortedM pos i
VUM.unsafeWrite cursor pp (pos + 1)
place (i + 1)
place 0
partStart <- VU.unsafeFreeze partStartM
sortedRows <- VU.unsafeFreeze sortedM
pure (partStart, sortedRows)
-------------------------------------------------------------------------------
-- Phase 2: per-partition grouping (parallel)
-------------------------------------------------------------------------------
{- | Group each partition with its own hash table, then rank its local groups
into canonical order — all inside the parallel worker. Forks @caps@ workers that
pull partition indices off a shared counter. For partition @pp@ spanning
@[partStart[pp], partStart[pp+1])@ of @sortedRows@ a worker assigns dense local
group ids (first-appearance order) into @localGid@ at the same sorted positions,
recording each new group's representative hash and row into unboxed
first-appearance vectors. It then computes @canonBoxes[pp]@ — @canon[localGid] =
within-partition canonical rank — via a stable radix sort on the unsigned
representative hash (ties keep first-appearance order, which is ascending repRow,
so the @(key hash, repRow)@ order of the old comparison sort is reproduced with
no boxed tuples). @nLocalGroups[pp]@ holds the group count.
-}
runPartitions ::
Int ->
Int ->
VU.Vector Int ->
VU.Vector Int ->
VU.Vector Int ->
(Int -> Int -> Bool) ->
VUM.IOVector Int ->
VM.IOVector (VU.Vector Int) ->
VUM.IOVector Int ->
IO ()
runPartitions caps p partStart sortedRows hashes eqRow localGid canonBoxes nLocalGroups = do
next <- newIORef 0
let groupPartition !pp = do
let !s = VU.unsafeIndex partStart pp
!e = VU.unsafeIndex partStart (pp + 1)
!sz = e - s
when (sz > 0) $ do
ht <- newHashTable sz
-- repHash indexed by local gid (first-appearance order). The
-- representative row is implicitly ascending in gid order (sorted
-- positions are in original-row order, a stable counting sort),
-- so the stable hash-rank below needs no explicit repRow.
repHashM <- VUM.new sz
let loop !pos !nextGid
| pos >= e = pure nextGid
| otherwise = do
let !row = VU.unsafeIndex sortedRows pos
!h = VU.unsafeIndex hashes row
(gid, isNew) <- htInsert ht eqRow nextGid row h
VUM.unsafeWrite localGid pos gid
if isNew
then do
VUM.unsafeWrite repHashM nextGid h
loop (pos + 1) (nextGid + 1)
else loop (pos + 1) nextGid
ng <- loop s 0
VUM.unsafeWrite nLocalGroups pp ng
-- Rank this partition's groups into canonical order (shared with
-- the sequential path). repRow is ascending in gid order (stable
-- counting sort keeps sorted positions in original-row order), so
-- the stable hash-rank's tie-break reproduces (hash, repRow).
canon <- rankByHash (VUM.unsafeRead repHashM) ng
VM.unsafeWrite canonBoxes pp canon
worker = do
i <- atomicModifyIORef' next (\j -> (j + 1, j))
when (i < p) $ groupPartition i >> worker
forkJoin_ (replicate caps worker)
-------------------------------------------------------------------------------
-- Phase 3: global base ids + assembly
-------------------------------------------------------------------------------
{- | Exclusive prefix sum of the per-partition group counts into @globalBase@
(length @p+1@, @globalBase[pp]@ is the first global id of partition @pp@,
@globalBase[p]@ the total). The per-partition canonical ranks were already
computed in 'runPartitions'; partitions are in ascending key order so prepending
@globalBase[pp]@ to each rank yields the sequential @canonicalRemap@ order.
-}
canonicalize ::
Int ->
VM.IOVector (VU.Vector Int) ->
VUM.IOVector Int ->
IO (VU.Vector Int, V.Vector (VU.Vector Int), Int)
canonicalize p canonBoxes nLocalGroups = do
globalBaseM <- VUM.new (p + 1)
let go !pp !base
| pp >= p = VUM.unsafeWrite globalBaseM p base >> pure base
| otherwise = do
VUM.unsafeWrite globalBaseM pp base
ng <- VUM.unsafeRead nLocalGroups pp
go (pp + 1) (base + ng)
total <- go 0 0
globalBase <- VU.unsafeFreeze globalBaseM
canonOf <- V.unsafeFreeze canonBoxes
pure (globalBase, canonOf, total)
{- | Build the final @(rowToGroup, valueIndices, offsets)@. For each sorted
position we know its partition, its local group id and the canonical maps, so the
global group id is @globalBase[pp] + canonOf[pp][localGid]@. @valueIndices@ is the
rows ordered by global group; @offsets@ the per-group boundaries; @rowToGroup@ the
inverse mapping per original row.
-}
assemble ::
Int ->
Int ->
VU.Vector Int ->
VU.Vector Int ->
VUM.IOVector Int ->
VU.Vector Int ->
V.Vector (VU.Vector Int) ->
Int ->
IO (VU.Vector Int, VU.Vector Int, VU.Vector Int)
assemble n p partStart sortedRows localGid globalBase canonOf nGroups = do
rtgM <- VUM.new (max 1 n)
-- Global group id of each sorted position, plus per-group counts.
counts <- VUM.replicate (nGroups + 1) (0 :: Int)
gidAt <- VUM.new (max 1 n)
let scanPos !pp
| pp >= p = pure ()
| otherwise = do
let !s = VU.unsafeIndex partStart pp
!e = VU.unsafeIndex partStart (pp + 1)
!base = VU.unsafeIndex globalBase pp
!canon = V.unsafeIndex canonOf pp
let inner !pos
| pos >= e = pure ()
| otherwise = do
lg <- VUM.unsafeRead localGid pos
let !g = base + VU.unsafeIndex canon lg
!row = VU.unsafeIndex sortedRows pos
VUM.unsafeWrite gidAt pos g
VUM.unsafeWrite rtgM row g
c <- VUM.unsafeRead counts g
VUM.unsafeWrite counts g (c + 1)
inner (pos + 1)
inner s
scanPos (pp + 1)
scanPos 0
-- offsets = exclusive prefix sum of counts.
offsM <- VUM.new (nGroups + 1)
let scan !k !acc
| k > nGroups = pure ()
| otherwise = do
VUM.unsafeWrite offsM k acc
c <- if k < nGroups then VUM.unsafeRead counts k else pure 0
scan (k + 1) (acc + c)
scan 0 0
-- valueIndices: place each sorted position's row at its group's cursor.
-- Iterating sorted positions in order keeps rows in original order within a
-- group (the partition counting sort and grouping both preserve it).
cursor <- VUM.new (max 1 nGroups)
forM_ [0 .. nGroups - 1] $ \k -> VUM.unsafeRead offsM k >>= VUM.unsafeWrite cursor k
visM <- VUM.new (max 1 n)
let placeVis !pos
| pos >= n = pure ()
| otherwise = do
g <- VUM.unsafeRead gidAt pos
let !row = VU.unsafeIndex sortedRows pos
c <- VUM.unsafeRead cursor g
VUM.unsafeWrite visM c row
VUM.unsafeWrite cursor g (c + 1)
placeVis (pos + 1)
placeVis 0
rtg <- VU.unsafeFreeze rtgM
offs <- VU.unsafeFreeze offsM
vis <- VU.unsafeFreeze visM
pure (rtg, vis, offs)
-------------------------------------------------------------------------------
-- Thread fan-out (plain forkIO + MVar join, no sparks)
-------------------------------------------------------------------------------
-- | Run each action on its own thread; rethrow the first failure (in order).
forkJoin_ :: [IO ()] -> IO ()
forkJoin_ actions = do
vars <- mapM spawn actions
results <- mapM takeMVar vars
mapM_ (either (throwIO :: SomeException -> IO ()) pure) results
where
spawn act = do
var <- newEmptyMVar
_ <- forkIO (try act >>= putMVar var)
pure var