futhark-0.18.2: src/Futhark/CodeGen/ImpGen/Multicore/SegHist.hs
module Futhark.CodeGen.ImpGen.Multicore.SegHist
( compileSegHist,
)
where
import Control.Monad
import Data.List (zip4, zip5)
import qualified Futhark.CodeGen.ImpCode.Multicore as Imp
import Futhark.CodeGen.ImpGen
import Futhark.CodeGen.ImpGen.Multicore.Base
import Futhark.CodeGen.ImpGen.Multicore.SegRed (compileSegRed')
import Futhark.IR.MCMem
import Futhark.MonadFreshNames
import Futhark.Util (chunks, splitFromEnd, takeLast)
import Futhark.Util.IntegralExp (rem)
import Prelude hiding (quot, rem)
compileSegHist ::
Pattern MCMem ->
SegSpace ->
[HistOp MCMem] ->
KernelBody MCMem ->
TV Int32 ->
MulticoreGen Imp.Code
compileSegHist pat space histops kbody nsubtasks
| [_] <- unSegSpace space =
nonsegmentedHist pat space histops kbody nsubtasks
| otherwise =
segmentedHist pat space histops kbody
-- | Split some list into chunks equal to the number of values
-- returned by each 'SegBinOp'
segHistOpChunks :: [HistOp lore] -> [a] -> [[a]]
segHistOpChunks = chunks . map (length . histNeutral)
nonsegmentedHist ::
Pattern MCMem ->
SegSpace ->
[HistOp MCMem] ->
KernelBody MCMem ->
TV Int32 ->
MulticoreGen Imp.Code
nonsegmentedHist pat space histops kbody num_histos = do
let ns = map snd $ unSegSpace space
ns_64 = map toInt64Exp ns
num_histos' = tvExp num_histos
hist_width = toInt64Exp $ histWidth $ head histops
use_subhistogram = sExt64 num_histos' * hist_width .<=. product ns_64
histops' <- renameHistOpLambda histops
-- Only do something if there is actually input.
collect $
sUnless (product ns_64 .==. 0) $ do
flat_idx <- dPrim "iter" int64
sIf
use_subhistogram
(subHistogram pat flat_idx space histops num_histos kbody)
(atomicHistogram pat flat_idx space histops' kbody)
-- |
-- Atomic Histogram approach
-- The implementation has three sub-strategies depending on the
-- type of the operator
-- 1. If values are integral scalars, a direct-supported atomic update is used.
-- 2. If values are on one memory location, e.g. a float, then a
-- CAS operation is used to perform the update, where the float is
-- casted to an integral scalar.
-- 1. and 2. currently only works for 32-bit and 64-bit types,
-- but GCC has support for 8-, 16- and 128- bit types as well.
-- 3. Otherwise a locking based approach is used
onOpAtomic :: HistOp MCMem -> MulticoreGen ([VName] -> [Imp.TExp Int64] -> MulticoreGen ())
onOpAtomic op = do
atomics <- hostAtomics <$> askEnv
let lambda = histOp op
do_op = atomicUpdateLocking atomics lambda
case do_op of
AtomicPrim f -> return f
AtomicCAS f -> return f
AtomicLocking f -> do
-- Allocate a static array of locks
-- as in the GPU backend
let num_locks = 100151 -- This number is taken from the GPU backend
dims =
map toInt64Exp $
shapeDims (histShape op) ++ [histWidth op]
locks <-
sStaticArray "hist_locks" DefaultSpace int32 $
Imp.ArrayZeros num_locks
let l' = Locking locks 0 1 0 (pure . (`rem` fromIntegral num_locks) . flattenIndex dims)
return $ f l'
atomicHistogram ::
Pattern MCMem ->
TV Int64 ->
SegSpace ->
[HistOp MCMem] ->
KernelBody MCMem ->
MulticoreGen ()
atomicHistogram pat flat_idx space histops kbody = do
let (is, ns) = unzip $ unSegSpace space
ns_64 = map toInt64Exp ns
let num_red_res = length histops + sum (map (length . histNeutral) histops)
(all_red_pes, map_pes) = splitAt num_red_res $ patternValueElements pat
atomicOps <- mapM onOpAtomic histops
body <- collect $ do
zipWithM_ dPrimV_ is $ unflattenIndex ns_64 $ tvExp flat_idx
compileStms mempty (kernelBodyStms kbody) $ do
let (red_res, map_res) = splitFromEnd (length map_pes) $ kernelBodyResult kbody
perOp = chunks $ map (length . histDest) histops
(buckets, vs) = splitAt (length histops) red_res
let pes_per_op = chunks (map (length . histDest) histops) all_red_pes
forM_ (zip5 histops (perOp vs) buckets atomicOps pes_per_op) $
\(HistOp dest_w _ _ _ shape lam, vs', bucket, do_op, dest_res) -> do
let (_is_params, vs_params) = splitAt (length vs') $ lambdaParams lam
dest_w' = toInt64Exp dest_w
bucket' = toInt64Exp $ kernelResultSubExp bucket
bucket_in_bounds = bucket' .<. dest_w' .&&. 0 .<=. bucket'
sComment "save map-out results" $
forM_ (zip map_pes map_res) $ \(pe, res) ->
copyDWIMFix (patElemName pe) (map Imp.vi64 is) (kernelResultSubExp res) []
sComment "perform updates" $
sWhen bucket_in_bounds $ do
let bucket_is = map Imp.vi64 (init is) ++ [bucket']
dLParams $ lambdaParams lam
sLoopNest shape $ \is' -> do
forM_ (zip vs_params vs') $ \(p, res) ->
copyDWIMFix (paramName p) [] (kernelResultSubExp res) is'
do_op (map patElemName dest_res) (bucket_is ++ is')
free_params <- freeParams body (segFlat space : [tvVar flat_idx])
emit $ Imp.Op $ Imp.ParLoop "atomic_seg_hist" (tvVar flat_idx) mempty body mempty free_params $ segFlat space
updateHisto :: HistOp MCMem -> [VName] -> [Imp.TExp Int64] -> MulticoreGen ()
updateHisto op arrs bucket = do
let acc_params = take (length arrs) $ lambdaParams $ histOp op
bind_acc_params =
forM_ (zip acc_params arrs) $ \(acc_p, arr) ->
copyDWIMFix (paramName acc_p) [] (Var arr) bucket
op_body = compileBody' [] $ lambdaBody $ histOp op
writeArray arr val = copyDWIMFix arr bucket val []
do_hist = zipWithM_ writeArray arrs $ bodyResult $ lambdaBody $ histOp op
sComment "Start of body" $ do
dLParams acc_params
bind_acc_params
op_body
do_hist
-- Generates num_histos sub-histograms of the size
-- of the destination histogram
-- Then for each chunk of the input each subhistogram
-- is computed and finally combined through a segmented reduction
-- across the histogram indicies.
-- This is expected to be fast if len(histDest) is small
subHistogram ::
Pattern MCMem ->
TV Int64 ->
SegSpace ->
[HistOp MCMem] ->
TV Int32 ->
KernelBody MCMem ->
MulticoreGen ()
subHistogram pat flat_idx space histops num_histos kbody = do
emit $ Imp.DebugPrint "subHistogram segHist" Nothing
let (is, ns) = unzip $ unSegSpace space
ns_64 = map toInt64Exp ns
let pes = patternElements pat
num_red_res = length histops + sum (map (length . histNeutral) histops)
map_pes = drop num_red_res pes
per_red_pes = segHistOpChunks histops $ patternValueElements pat
-- Allocate array of subhistograms in the calling thread. Each
-- tasks will work in its own private allocations (to avoid false
-- sharing), but this is where they will ultimately copy their
-- results.
global_subhistograms <- forM histops $ \histop ->
forM (histType histop) $ \t -> do
let shape = Shape [tvSize num_histos] <> arrayShape t
sAllocArray "subhistogram" (elemType t) shape DefaultSpace
let tid' = Imp.vi64 $ segFlat space
flat_idx' = tvExp flat_idx
(local_subhistograms, prebody) <- collect' $ do
zipWithM_ dPrimV_ is $ unflattenIndex ns_64 $ sExt64 flat_idx'
forM (zip per_red_pes histops) $ \(pes', histop) -> do
op_local_subhistograms <- forM (histType histop) $ \t ->
sAllocArray "subhistogram" (elemType t) (arrayShape t) DefaultSpace
forM_ (zip3 pes' op_local_subhistograms (histNeutral histop)) $ \(pe, hist, ne) ->
-- First thread initializes histogram with dest vals. Others
-- initialize with neutral element
sIf
(tid' .==. 0)
(copyDWIMFix hist [] (Var $ patElemName pe) [])
( sFor "i" (toInt64Exp $ histWidth histop) $ \i ->
sLoopNest (histShape histop) $ \vec_is ->
copyDWIMFix hist (i : vec_is) ne []
)
return op_local_subhistograms
-- Generate loop body of parallel function
body <- collect $ do
zipWithM_ dPrimV_ is $ unflattenIndex ns_64 $ sExt64 flat_idx'
compileStms mempty (kernelBodyStms kbody) $ do
let (red_res, map_res) = splitFromEnd (length map_pes) $ kernelBodyResult kbody
(buckets, vs) = splitAt (length histops) red_res
perOp = chunks $ map (length . histDest) histops
sComment "save map-out results" $
forM_ (zip map_pes map_res) $ \(pe, res) ->
copyDWIMFix
(patElemName pe)
(map Imp.vi64 is)
(kernelResultSubExp res)
[]
forM_ (zip4 histops local_subhistograms buckets (perOp vs)) $
\( histop@(HistOp dest_w _ _ _ shape lam),
histop_subhistograms,
bucket,
vs'
) -> do
let bucket' = toInt64Exp $ kernelResultSubExp bucket
dest_w' = toInt64Exp dest_w
bucket_in_bounds = bucket' .<. dest_w' .&&. 0 .<=. bucket'
vs_params = takeLast (length vs') $ lambdaParams lam
bucket_is = [bucket']
sComment "perform updates" $
sWhen bucket_in_bounds $ do
dLParams $ lambdaParams lam
sLoopNest shape $ \is' -> do
forM_ (zip vs_params vs') $ \(p, res) ->
copyDWIMFix (paramName p) [] (kernelResultSubExp res) is'
updateHisto histop histop_subhistograms (bucket_is ++ is')
-- Copy the task-local subhistograms to the global subhistograms,
-- where they will be combined.
postbody <- collect $
forM_ (zip (concat global_subhistograms) (concat local_subhistograms)) $
\(global, local) -> copyDWIMFix global [tid'] (Var local) []
free_params <- freeParams (prebody <> body <> postbody) (segFlat space : [tvVar flat_idx])
let (body_allocs, body') = extractAllocations body
emit $ Imp.Op $ Imp.ParLoop "seghist_stage_1" (tvVar flat_idx) (body_allocs <> prebody) body' postbody free_params $ segFlat space
-- Perform a segmented reduction over the subhistograms
forM_ (zip3 per_red_pes global_subhistograms histops) $ \(red_pes, hists, op) -> do
bucket_id <- newVName "bucket_id"
subhistogram_id <- newVName "subhistogram_id"
let num_buckets = histWidth op
segred_space =
SegSpace (segFlat space) $
segment_dims
++ [(bucket_id, num_buckets)]
++ [(subhistogram_id, tvSize num_histos)]
segred_op = SegBinOp Noncommutative (histOp op) (histNeutral op) (histShape op)
nsubtasks_red <- dPrim "num_tasks" $ IntType Int32
red_code <- compileSegRed' (Pattern [] red_pes) segred_space [segred_op] nsubtasks_red $ \red_cont ->
red_cont $
flip map hists $ \subhisto ->
( Var subhisto,
map Imp.vi64 $
map fst segment_dims ++ [subhistogram_id, bucket_id]
)
let ns_red = map (toInt64Exp . snd) $ unSegSpace segred_space
iterations = product $ init ns_red -- The segmented reduction is sequential over the inner most dimension
scheduler_info = Imp.SchedulerInfo (tvVar nsubtasks_red) (untyped iterations) Imp.Static
red_task = Imp.ParallelTask red_code $ segFlat space
free_params_red <- freeParams red_code [segFlat space, tvVar nsubtasks_red]
emit $ Imp.Op $ Imp.Segop "seghist_red" free_params_red red_task Nothing mempty scheduler_info
where
segment_dims = init $ unSegSpace space
-- This implementation for a Segmented Hist only
-- parallelize over the segments,
-- where each segment is updated sequentially.
segmentedHist ::
Pattern MCMem ->
SegSpace ->
[HistOp MCMem] ->
KernelBody MCMem ->
MulticoreGen Imp.Code
segmentedHist pat space histops kbody = do
emit $ Imp.DebugPrint "Segmented segHist" Nothing
-- Iteration variable over the segments
segments_i <- dPrim "segment_iter" $ IntType Int64
collect $ do
par_body <- compileSegHistBody (tvExp segments_i) pat space histops kbody
free_params <- freeParams par_body [segFlat space, tvVar segments_i]
let (body_allocs, body') = extractAllocations par_body
emit $ Imp.Op $ Imp.ParLoop "segmented_hist" (tvVar segments_i) body_allocs body' mempty free_params $ segFlat space
compileSegHistBody ::
Imp.TExp Int64 ->
Pattern MCMem ->
SegSpace ->
[HistOp MCMem] ->
KernelBody MCMem ->
MulticoreGen Imp.Code
compileSegHistBody idx pat space histops kbody = do
let (is, ns) = unzip $ unSegSpace space
ns_64 = map toInt64Exp ns
let num_red_res = length histops + sum (map (length . histNeutral) histops)
map_pes = drop num_red_res $ patternValueElements pat
per_red_pes = segHistOpChunks histops $ patternValueElements pat
collect $ do
let inner_bound = last ns_64
sFor "i" inner_bound $ \i -> do
zipWithM_ dPrimV_ (init is) $ unflattenIndex (init ns_64) idx
dPrimV_ (last is) i
compileStms mempty (kernelBodyStms kbody) $ do
let (red_res, map_res) =
splitFromEnd (length map_pes) $
map kernelResultSubExp $ kernelBodyResult kbody
(buckets, vs) = splitAt (length histops) red_res
perOp = chunks $ map (length . histDest) histops
forM_ (zip4 per_red_pes histops (perOp vs) buckets) $
\(red_pes, HistOp dest_w _ _ _ shape lam, vs', bucket) -> do
let (is_params, vs_params) = splitAt (length vs') $ lambdaParams lam
bucket' = toInt64Exp bucket
dest_w' = toInt64Exp dest_w
bucket_in_bounds = bucket' .<. dest_w' .&&. 0 .<=. bucket'
sComment "save map-out results" $
forM_ (zip map_pes map_res) $ \(pe, res) ->
copyDWIMFix (patElemName pe) (map Imp.vi64 is) res []
sComment "perform updates" $
sWhen bucket_in_bounds $ do
dLParams $ lambdaParams lam
sLoopNest shape $ \vec_is -> do
-- Index
let buck = toInt64Exp bucket
forM_ (zip red_pes is_params) $ \(pe, p) ->
copyDWIMFix (paramName p) [] (Var $ patElemName pe) (map Imp.vi64 (init is) ++ [buck] ++ vec_is)
-- Value at index
forM_ (zip vs_params vs') $ \(p, v) ->
copyDWIMFix (paramName p) [] v vec_is
compileStms mempty (bodyStms $ lambdaBody lam) $
forM_ (zip red_pes $ bodyResult $ lambdaBody lam) $
\(pe, se) -> copyDWIMFix (patElemName pe) (map Imp.vi64 (init is) ++ [buck] ++ vec_is) se []